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    "content": "build\nworkspace\nproduction\nscreenshots\nresults\nbin\nassets/hard\nassets/tet_meshes\n.clangd\n.cache\n.idea\n.vs\n.vimrc\ncmake-build-*\ncompile_commands.json\nimgui.ini\nCMakeSettings.json\nCMakeCustomLists.txt\nnul\nhex.desktop\nlaunch.sh\nassets/more\nscreenshot.png\nconfig.yml\n"
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    "content": "[submodule \"external/glfw\"]\n\tpath = external/glfw\n\turl = https://github.com/glfw/glfw.git\n[submodule \"external/glm\"]\n\tpath = external/glm\n\turl = https://github.com/g-truc/glm.git\n[submodule \"external/glslang\"]\n\tpath = external/glslang\n\turl = https://github.com/KhronosGroup/glslang.git\n[submodule \"external/--force\"]\n\tpath = external/--force\n\turl = https://github.com/KhronosGroup/SPIRV-Cross.git\n[submodule \"external/spirv-cross\"]\n\tpath = external/spirv-cross\n\turl = https://github.com/KhronosGroup/SPIRV-Cross.git\n[submodule \"external/stb\"]\n\tpath = external/stb\n\turl = https://github.com/nothings/stb.git\n[submodule \"external/imgui\"]\n\tpath = external/imgui\n\turl = https://github.com/ocornut/imgui.git\n[submodule \"external/spdlog\"]\n\tpath = external/spdlog\n\turl = https://github.com/gabime/spdlog.git\n[submodule \"external/eigen\"]\n\tpath = external/eigen\n\turl = https://gitlab.com/libeigen/eigen.git\n[submodule \"external/yaml-cpp\"]\n\tpath = external/yaml-cpp\n\turl = https://github.com/jbeder/yaml-cpp.git\n"
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    "path": "CMakeLists.txt",
    "content": "cmake_minimum_required(VERSION 3.18)\n\nproject(PolycubeHexMesher CXX)\n\nset(CMAKE_CXX_STANDARD 17)\nset(CMAKE_CXX_STANDARD_REQUIRED ON)\nset(HDF5_USE_STATIC_LIBRARIES OFF) # need to be off on Windows\n\n# Allow custom CMakeLists.txt\ninclude(${PROJECT_SOURCE_DIR}/CMakeCustomLists.txt OPTIONAL)\n\n# Torch\n# For some reason, on MSVC this cannot be put in a subdirectory.\n# If the default torch is located instead of the one downloaded from torch website, you may need to use\n# list(APPEND CMAKE_PREFIX_PATH) \"...\") to force find_package to locate the correct directory.\nfind_package(Torch REQUIRED)\n\n# Vulkan\nfind_package(Vulkan REQUIRED)\n\n# OpenMP\nfind_package(OpenMP REQUIRED)\n\nif (NOT CMAKE_BUILD_TYPE)\n    message(STATUS \"No build type selected; default to release.\")\n    set(CMAKE_BUILD_TYPE \"Release\")\nendif ()\n\n\nif (CMAKE_CXX_COMPILER_ID MATCHES \"Clang\")\n    set(cxx_warning_flags \"-Wall\" \"-ferror-limit=1\")\nelseif (CMAKE_CXX_COMPILER_ID STREQUAL \"GNU\")\n    set(cxx_warning_flags \"-Wall\")\nelseif (CMAKE_CXX_COMPILER_ID STREQUAL \"MSVC\")\n    add_compile_options (/permissive-) # silence errors by enabling conformance mode\n    set(cxx_warning_flags \"/W0\")\nendif()\n\nadd_subdirectory(external)\n\nadd_subdirectory(vkoo)\n\nadd_subdirectory(geomlib)\n\nadd_subdirectory(hex)\n"
  },
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    "path": "LICENSE",
    "content": "MIT License\n\nCopyright (c) 2021 Lingxiao Li\n\nPermission is hereby granted, free of charge, to any person obtaining a copy\nof this software and associated documentation files (the \"Software\"), to deal\nin the Software without restriction, including without limitation the rights\nto use, copy, modify, merge, publish, distribute, sublicense, and/or sell\ncopies of the Software, and to permit persons to whom the Software is\nfurnished to do so, subject to the following conditions:\n\nThe above copyright notice and this permission notice shall be included in all\ncopies or substantial portions of the Software.\n\nTHE SOFTWARE IS PROVIDED \"AS IS\", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR\nIMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,\nFITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE\nAUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER\nLIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,\nOUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE\nSOFTWARE.\n"
  },
  {
    "path": "README.md",
    "content": "# Interactive All-Hex Meshing via Cuboid Decomposition\n\n![teaser](https://user-images.githubusercontent.com/38452438/144882120-359ea450-03f8-4267-93f4-6a78f9ffff80.png)\n**[Video demonstration](https://www.dropbox.com/s/v687elfwgjnzfx4/demo.mp4?dl=0)**\n\nThis repository contains interactive software for the PolyCube-based hex-meshing problem. You can solve hex meshing by playing minecraft!\n\nFeatures include:\n- a 4-stage interactive pipeline that can robustly generate high-quality hex meshes from an input tetrahedral mesh;\n- extensive user control over each stage, such as editing the voxelized PolyCube, positioning surface vertices, and exploring the trade-off among competing quality metrics;\n- automatic alternatives based on GPU-powered continuous optimization that can run at interactive speed.\n\nIt is the original implementation of the SIGGRAPH Asia 2021 paper \"Interactive All-Hex Meshing via Cuboid Decomposition\" by \nLingxiao Li, Paul Zhang, Dmitriy Smirnov, Mazdak Abulnaga, Justin Solomon.\n**Check out our [paper](https://arxiv.org/pdf/2109.06279.pdf) for a complete description of our pipeline!**\n\n\n## Organization\nThere are three main components of the project.\n- The `geomlib` folder contains a standalone C++ library with GPU-based geometric operations including point-triangle projection (in arbitrary dimensions), point-tetrahedron projection (in arbitrary dimensions), point-in-tet-mesh inclusion testing, sampling on a triangular mesh, capable of handling tens of thousands of point queries on large meshes in milliseconds.\n- The `vkoo` folder contains a standalone object-oriented Vulkan graphics engine that is built based on the [official Vulkan samples code](https://github.com/KhronosGroup/Vulkan-Samples) with a lot of simplification and modification for the purpose of this project.\n- The `hex` folder contains the application-specific code for our interactive PolyCube-based hex meshing software, and should be most relevant for learning about the implementation details of our paper.\n\nIn addition,\n- The `assets` folder contains a small number of tetrahedral meshes to test on, but you can include your own meshes easily (if you only have triangular meshes, try using TetGen or [this](https://github.com/wildmeshing/fTetWild) to mesh the interior first).\n- The `external` folder contains additional dependencies that are included in the repo.\n- In addition, [here](https://www.dropbox.com/s/kv4ojktq95ptw89/results.zip?dl=0) you can find `results.zip` contains the `*.h5` project file for each model in the Table 2 of the paper. The `*.h5` project files can be loaded in our software using `File > Open`.\n\n## Dependencies\nMain dependencies that are not included in the repo and should be installed first:\n- CMake\n- CUDA (tested with 11.x, 12.x) and cuDNN\n- Pytorch C++ frontend (tested with 1.7, 1.8, 1.9, 1.10, 2.0)\n- Vulkan SDK (no mather which version)\n- Python3\n- HDF5\n\nThere are additional dependencies in `external` and should be built correctly with the provided CMake hierarchy:\n- Eigen\n- glfw\n- glm\n- glslang\n- imgui\n- spdlog\n- spirv-cross\n- stb\n- yaml-cpp\n\n## Linux Instruction\nThe instruction is slightly different on various Linux distributions. We have tested on Arch Linux and Ubuntu 20.04 and 22.04.\nFirst install all dependencies above using the respective package manager. \nThen download and unzip [Pytorch C++ frontend](https://pytorch.org/get-started/locally/) for Linux (tested with cxx11 ABI) -- it should be under the tab `Libtorch > C++/Java > CUDA 11.x`.\nAdd `Torch_DIR=<unzipped folder>` to your environment variable lists (or add your unzipped folder to `CMAKE_PREFIX_PATH`).\nThen clone the repo (**be sure to use `--recursive` to clone the submodules as well**).\nNext run the usual cmake/make commands to build target `hex` in Debug or Release mode:\n```\nmkdir -p build/Release\ncd build/Release\ncmake ../.. -DCMAKE_BUILD_TYPE=Release\nmake hex -j\n```\nThis should generate an executable named `hex` under `bin/Release/hex` which can be run directly.\nSee `CMakeLists.txt` for more information.\n\n\n## Windows Instruction\nCompiling on Windows is trickier than on Linux. The following procedure has been tested to work on multiple Windows machines. (there are some compatibility issues on Windows, preferably use Ubuntu)\n- Download and install Visual Studio 2019\n- Download and install the newest CUDA Toolkit (tested with 11.2)\n- Download and install cuDNN for Windows (this amounts to copying a bunch of `dll`'s to the CUDA path)\n- Download and install the newest Vulkan SDK binary for Windows\n- Download and install Python3\n- Download and unzip [Pytorch C++ frontend](https://pytorch.org/get-started/locally/) for Windows. Then add `TORCH_DIR=<unzipped folder>` to your environment variable lists.\n- Download and install HDF5 for Windows\n- In VS2019, install CMake tools, and then build the project following [this](https://docs.microsoft.com/en-us/cpp/build/cmake-projects-in-visual-studio?view=msvc-160)\nThis should generate an executable under `bin/Debug` or `bin/Release`.\n"
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  },
  {
    "path": "assets/tutorial/kitten.vtk",
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3208 435 0\n277 2250 293 229 0\n277 2250 350 293 0\n2398 2798 2611 2431 0\n1329 1278 1271 1290 0\n2715 3451 3455 2575 0\n1699 2401 2513 1879 0\n1699 2513 1875 1879 0\n1699 1875 2513 2379 0\n2533 2283 2102 2282 0\n1213 2283 2282 2542 0\n1213 2282 2283 1077 0\n1077 2283 2533 2282 0\n2102 2283 2542 2282 0\n3333 2801 1281 2643 0\n3280 1165 3273 1152 0\n2242 2331 2602 2376 0\n1186 2682 2262 2615 0\n383 2250 322 293 0\n383 363 2250 293 0\n322 293 2250 256 0\n3382 510 526 483 0\n2643 2440 3104 2605 0\n2919 2931 2440 2879 0\n1279 2643 1244 2605 0\n1244 2605 2643 3104 0\n1890 2302 2014 1907 0\n1890 2014 2302 1992 0\n1027 2283 928 1077 0\n1047 958 3062 1049 0\n962 1052 2277 1049 0\n218 175 2656 229 0\n229 2250 2656 218 0\n218 229 2250 277 0\n283 285 2471 324 0\n1897 1993 3458 1874 0\n1897 3458 1948 1884 0\n3458 2310 1874 1993 0\n3458 2048 2310 1993 0\n2460 2582 972 2306 0\n2460 2486 972 2582 0\n972 2473 2306 2582 0\n2270 2624 948 2443 0\n948 2494 2624 2432 0\n2973 2443 2494 2271 0\n2443 2624 948 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0\n2307 2118 2502 2132 0\n1569 3444 2836 2998 0\n1569 1761 2302 3444 0\n3444 2502 2090 2302 0\n3444 2302 2090 2070 0\n3444 1992 1890 2302 0\n3444 2302 2070 1992 0\n3444 2302 1890 1761 0\n1777 2303 2511 1606 0\n1905 2522 1792 1777 0\n1792 1635 2511 2309 0\n1910 2309 2522 1919 0\n1792 2309 2522 1910 0\n1461 2648 2684 2511 0\n1905 2522 2303 2603 0\n2603 2310 2522 2390 0\n2310 2089 3003 2603 0\n2603 3003 2310 2390 0\n2522 2414 2413 2390 0\n2400 2390 2310 3003 0\n2310 3003 2629 2400 0\n2503 2630 2313 2407 0\n2407 2630 2313 2895 0\n2407 2313 2504 2895 0\n1702 1591 2586 2308 0\n2573 2017 3447 1953 0\n2308 3447 1856 1953 0\n2528 3447 2586 2308 0\n1856 3447 2308 1702 0\n2558 3235 3045 2946 0\n487 715 2236 3190 0\n3120 715 2236 487 0\n3234 3235 2558 2946 0\n2234 133 132 195 0\n327 2631 290 232 0\n3173 2259 2915 2805 0\n2927 2929 3083 2588 0\n2927 3098 3083 2855 0\n2283 2584 2275 2481 0\n2480 2283 2583 2487 0\n2583 2283 2584 2391 0\n2480 2283 2487 2337 0\n2595 2606 2276 2284 0\n2534 2452 2287 2289 0\n2287 1256 2289 2452 0\n2534 2532 2289 2287 0\n2818 1141 1251 2957 0\n2520 3182 2529 2969 0\n3179 2520 2738 3182 0\n3337 3257 1350 1353 0\n3112 1738 1864 1888 0\n1521 2302 1741 2297 0\n2297 2302 1741 1907 0\n2297 2302 1907 2879 0\n2879 2028 2302 1907 0\n2310 2048 3458 1991 0\n1897 3458 1993 1948 0\n2523 2310 3458 1991 0\n2311 1922 2031 2462 0\n1916 2401 2320 1868 0\n1699 1809 2401 1879 0\n1699 2401 1650 2451 0\n3128 2939 2536 1826 0\n1914 1826 3128 1918 0\n2452 2922 2802 3128 0\n1977 2802 2524 2530 0\n3193 2116 2092 2127 0\n3193 2127 2132 2116 0\n2642 275 1460 301 0\n2629 2311 2157 2133 0\n487 2236 3281 3190 0\n487 415 3281 2640 0\n3281 3190 551 487 0\n1807 1677 2979 1738 0\n1807 1738 2979 1888 0\n1807 1677 2300 2979 0\n899 792 2576 772 0\n902 2673 899 792 0\n899 792 2673 2576 0\n2674 1325 1327 1431 0\n300 2518 301 194 0\n300 194 203 2518 0\n362 1460 301 2518 0\n1023 867 2858 1001 0\n1023 2639 1140 2858 0\n782 2639 2858 3100 0\n2115 3193 2092 2127 0\n2050 2034 3193 1972 0\n74 2666 62 2597 0\n74 2666 78 62 0\n937 1066 1003 3063 0\n937 1003 3252 3063 0\n3252 937 3063 2555 0\n2998 3063 1235 1291 0\n1291 1156 3063 1235 0\n2744 2655 1317 1399 0\n853 835 3139 933 0\n2794 2735 3139 3146 0\n175 158 2656 141 0\n113 2656 158 141 0\n2895 2068 2051 2084 0\n2895 2111 2068 2084 0\n1899 1911 2523 1991 0\n2612 1723 1799 1725 0\n1725 1723 1643 2612 0\n3217 1681 1725 1751 0\n3217 2612 1799 1725 0\n527 608 2885 582 0\n527 3331 501 2885 0\n3331 527 608 2885 0\n1250 2519 1331 2845 0\n2427 1004 1054 984 0\n2997 3252 984 2970 0\n78 2358 80 62 0\n78 2666 2632 2358 0\n403 2633 2480 499 0\n412 499 512 2633 0\n412 2633 403 499 0\n1896 2561 1815 1820 0\n1717 1815 2371 1727 0\n2154 2603 2169 3003 0\n1018 1005 2291 2761 0\n3282 1216 1336 1233 0\n2704 3282 1382 2954 0\n2663 2572 72 3057 0\n2572 3057 3125 2918 0\n2559 3257 2580 1350 0\n3337 3257 2559 1350 0\n1350 1314 3257 2580 0\n2558 2581 3235 2825 0\n3045 2581 3235 2558 0\n2581 874 914 873 0\n209 256 2656 229 0\n209 229 2656 175 0\n256 2250 2656 229 0\n294 2246 317 250 0\n1852 2586 1702 1655 0\n2586 1610 1655 1724 0\n899 2652 757 2576 0\n757 2652 644 631 0\n2688 1327 1344 1469 0\n2688 1454 1327 1469 0\n587 2557 410 3029 0\n3064 3029 2428 2557 0\n3093 3029 2422 2428 0\n2556 3030 1679 1796 0\n2627 3030 1679 2556 0\n2463 2371 1736 2481 0\n2564 1736 2463 2312 0\n1357 1498 2638 1505 0\n1357 1360 1505 2638 0\n1365 1360 2638 1505 0\n2638 1498 2314 1646 0\n2733 1058 2262 831 0\n204 147 160 2496 0\n204 2496 160 1352 0\n3444 2090 2502 2021 0\n62 2358 2572 2666 0\n2572 2597 62 2666 0\n2572 2597 2599 62 0\n144 188 2381 138 0\n117 2381 144 2239 0\n188 2748 2516 314 0\n960 878 979 2445 0\n2445 960 1055 979 0\n2272 2445 1041 1055 0\n1357 1486 3085 1498 0\n3085 1486 2586 2314 0\n3085 2314 1498 1486 0\n95 2632 80 85 0\n99 85 2632 95 0\n2630 2143 2136 2582 0\n2128 2596 2143 2630 0\n954 3062 1047 901 0\n954 3062 2595 1044 0\n1047 3062 954 1044 0\n2610 1188 1274 1277 0\n1365 2610 1274 1277 0\n917 2359 1126 926 0\n1131 2359 2285 1031 0\n1304 1309 2360 1126 0\n2234 112 132 133 0\n2879 2028 2030 2091 0\n2879 2091 2030 2093 0\n2091 2028 2302 2879 0\n1516 1553 1591 2586 0\n654 636 649 3004 0\n1590 3005 1573 1577 0\n99 120 2245 2656 0\n2895 2111 2106 2129 0\n2069 2895 2106 2109 0\n1225 1091 2615 1186 0\n1225 2615 1324 1186 0\n1089 2590 2615 2378 0\n95 2245 129 107 0\n160 129 116 2245 0\n116 2245 129 95 0\n107 2496 2245 129 0\n2535 2570 2634 2628 0\n2476 1236 1240 1098 0\n774 799 2626 668 0\n1452 2627 3116 1560 0\n1452 1560 3116 1426 0\n3116 1560 2627 2831 0\n2830 649 3083 3004 0\n1573 3005 3084 1577 0\n147 2496 135 125 0\n122 2240 2496 135 0\n122 2240 2381 2496 0\n2502 2879 2105 2302 0\n2101 2502 2103 2090 0\n2502 2105 2090 2302 0\n107 124 2496 125 0\n107 117 2496 124 0\n2118 2101 2502 2103 0\n2108 2502 2103 2118 0\n2997 849 937 808 0\n3153 2997 849 984 0\n1379 2998 1275 1312 0\n1379 2998 3175 1275 0\n107 2496 2613 2245 0\n2613 2245 95 107 0\n95 80 2613 107 0\n2136 2307 2132 2118 0\n2136 2095 2307 2118 0\n2307 2118 2095 2502 0\n3069 2735 2875 3146 0\n2293 2554 1623 1533 0\n2293 1473 1533 1623 0\n2293 2554 1802 1623 0\n2554 1963 1814 1824 0\n2592 1410 2293 1388 0\n2293 1410 1533 1473 0\n2554 2293 1962 1945 0\n2592 1533 2554 2293 0\n2592 1410 1533 2293 0\n699 817 2591 752 0\n751 634 2230 2591 0\n842 752 2591 817 0\n262 407 2553 2591 0\n278 161 2230 262 0\n2553 262 2591 2230 0\n399 407 2591 2553 0\n419 2230 634 2591 0\n2660 179 2231 140 0\n2705 2037 2047 2085 0\n2445 960 1041 1055 0\n1497 2584 2481 2371 0\n3092 2555 3063 937 0\n2271 3063 2998 1291 0\n649 654 3004 2830 0\n2831 1573 3005 3084 0\n275 196 301 2642 0\n275 377 2337 1460 0\n1744 1922 2029 2311 0\n1744 2311 2564 1922 0\n1744 1949 2564 2312 0\n747 2499 3190 827 0\n1478 2649 1677 2905 0\n2821 2649 2905 2979 0\n2688 1463 1581 1469 0\n2688 1706 2316 1718 0\n765 2652 644 757 0\n631 612 2652 2253 0\n2348 2475 3242 2888 0\nEnd"
  },
  {
    "path": "external/CMakeLists.txt",
    "content": "# GLFW\noption(GLFW_BUILD_DOCS OFF)\noption(GLFW_BUILD_TESTS OFF)\noption(GLFW_BUILD_EXAMPLES OFF)\noption(GLFW_BUILD_TESTS OFF)\noption(GLFW_INSTALL OFF)\n\nadd_subdirectory(glfw)\n\n# glm\nadd_library(glm INTERFACE)\nset(GLM_DIR ${CMAKE_CURRENT_SOURCE_DIR}/glm)\ntarget_include_directories(glm SYSTEM INTERFACE ${GLM_DIR})\n\ntarget_compile_definitions(glm INTERFACE\n        GLM_FORCE_SWIZZLE\n        GLM_FORCE_RADIANS\n        GLM_FORCE_CTOR_INIT\n        GLM_FORCE_DEPTH_ZERO_TO_ONE\n        GLM_ENABLE_EXPERIMENTAL)\n\n# eigen\nadd_library(eigen INTERFACE)\ntarget_include_directories(eigen SYSTEM INTERFACE ${CMAKE_CURRENT_SOURCE_DIR}/eigen)\n\n# glslang\noption(ENABLE_SPVREMAPPER OFF)\noption(ENABLE_GLSLANG_BINARIES OFF)\noption(ENABLE_HLSL OFF)\noption(ENABLE_OPT OFF)\noption(BUILD_TESTING OFF)\noption(BUILD_EXTERNAL OFF)\n\nadd_subdirectory(glslang)\n\nif (NOT TARGET glslang-default-resource-limits)\n    add_library(glslang-default-resource-limits\n            glslang/StandAlone/ResourceLimits.cpp)\n\n    target_include_directories(glslang-default-resource-limits\n            PUBLIC ${CMAKE_CURRENT_SOURCE_DIR}/glslang/StandAlone)\nendif ()\n\nif (NOT MSVC)\n    target_compile_options(glslang PRIVATE\n            \"-Wno-logical-op-parentheses\"\n            \"-Wno-unused-parameter\")\n\n    target_compile_options(SPIRV PRIVATE\n            \"-Wno-logical-op-parentheses\"\n            \"-Wno-unused-parameter\")\nendif ()\n\n# spirv-cross\nadd_subdirectory(spirv-cross)\n\n# stb\nadd_library(stb INTERFACE)\ntarget_include_directories(stb SYSTEM INTERFACE \"${CMAKE_CURRENT_SOURCE_DIR}/stb\")\n\n# imgui\nset(IMGUI_DIR \"${CMAKE_CURRENT_SOURCE_DIR}/imgui\")\nset(IMGUI_FILES\n        \"${IMGUI_DIR}/imgui.cpp\"\n        \"${IMGUI_DIR}/imgui_demo.cpp\"\n        \"${IMGUI_DIR}/imgui_draw.cpp\"\n        \"${IMGUI_DIR}/imgui_widgets.cpp\"\n        \"${IMGUI_DIR}/imgui_tables.cpp\"\n        \"${IMGUI_DIR}/imconfig.h\"\n        \"${IMGUI_DIR}/imgui.h\"\n        \"${IMGUI_DIR}/imgui_internal.h\"\n        \"${IMGUI_DIR}/imstb_rectpack.h\"\n        \"${IMGUI_DIR}/imstb_textedit.h\"\n        \"${IMGUI_DIR}/imstb_truetype.h\")\n\nadd_library(imgui STATIC ${IMGUI_FILES})\n\ntarget_include_directories(imgui PUBLIC ${IMGUI_DIR})\n\n# spdlog\nadd_subdirectory(spdlog)\n\n# yaml-cpp\noption(YAML_CPP_BUILD_CONTRIB OFF)\noption(YAML_CPP_BUILD_TOOLS OFF)\nadd_subdirectory(yaml-cpp)\n"
  },
  {
    "path": "geomlib/CMakeLists.txt",
    "content": "add_subdirectory(geomlib)\n\nadd_subdirectory(test)\n"
  },
  {
    "path": "geomlib/geomlib/CMakeLists.txt",
    "content": "set(CMAKE_CUDA_STANDARD 17)\nset(CMAKE_CUDA_ARCHITECTURES 75)\n\n# Note: Libtorch only supports the style of findCUDA.\nfind_package(CUDA REQUIRED)\nfind_package(CUDAToolkit REQUIRED)\n\nset(CUDA_SEPARABLE_COMPILATION ON)\n\nfile(GLOB geomlib_src *.cpp io/*.cpp *.cu autograd/*.cpp)\n\ncuda_add_library(geomlib ${geomlib_src})\n\ntarget_include_directories(geomlib PUBLIC \"${CMAKE_CURRENT_SOURCE_DIR}/../\")\ntarget_link_libraries(geomlib eigen CUDA::cudart CUDA::cusolver CUDA::cupti ${TORCH_LIBRARIES} OpenMP::OpenMP_CXX spdlog)\n"
  },
  {
    "path": "geomlib/geomlib/TetMesh.cpp",
    "content": "#include \"TetMesh.h\"\n\n#include \"logging.h\"\n\nnamespace geomlib {\nnamespace {\n// We assume p3 lies in the positive half space of CCW of (p0, p1, p2).\nconst std::vector<Vector3i> kFacesOfATet = {\n    // Faces with orientation pointing outwards.\n    {0, 2, 1},\n    {0, 3, 2},\n    {0, 1, 3},\n    {1, 2, 3}};\n}  // namespace\n\ngeomlib::TetMesh::TetMesh(const Eigen::MatrixXf& vertices,\n                          const Eigen::MatrixXi& tets)\n    : vertices_{vertices}, tets_{tets} {}\n\nconst TriMesh& TetMesh::GetSurfaceMesh() const {\n  if (!surface_mesh_) {\n    GenerateSurfaceMesh();\n  }\n  return *surface_mesh_;\n}\n\nstd::shared_ptr<TriMesh> TetMesh::GetSurfaceMeshSharedPtr() const {\n  if (!surface_mesh_) {\n    GenerateSurfaceMesh();\n  }\n  return surface_mesh_;\n}\n\nconst Eigen::VectorXf& TetMesh::GetTetVolumes() const {\n  if (!tet_volumes_) {\n    CalculateTetVolumes();\n  }\n  return *tet_volumes_;\n}\n\nconst Eigen::MatrixXi& TetMesh::GetSurfaceTriangles() const {\n  if (!surface_triangles_) {\n    GenerateSurfaceTriangles();\n  }\n  return *surface_triangles_;\n}\n\nvoid TetMesh::FixTetsOrientation() {\n  for (int i = 0; i < static_cast<int>(GetNumTets()); i++) {\n    Vector3f p[4];\n    for (int k = 0; k < 4; k++) {\n      p[k] = vertices_.row(tets_(i, k));\n    }\n    Eigen::Matrix3f M;\n    for (int k = 0; k < 3; k++) {\n      M.row(k) = p[k + 1] - p[0];\n    }\n    if (M.determinant() < 0) {\n      int tmp = tets_(i, 1);\n      tets_(i, 1) = tets_(i, 2);\n      tets_(i, 2) = tmp;\n    }\n  }\n  InvalidateCache();\n}\n\nvoid TetMesh::InvalidateCache() {\n  surface_mesh_.reset();\n  tet_volumes_.reset();\n  surface_triangles_.reset();\n  surface_to_volume_vid_.clear();\n  volume_to_surface_vid_.clear();\n}\n\nvoid TetMesh::GenerateSurfaceMesh() const {\n  surface_to_volume_vid_.clear();\n  volume_to_surface_vid_.clear();\n\n  size_t num_tets = tets_.rows();\n  std::unordered_set<Vector3i, Vector3iHasher> face_loop_set;\n  for (int i = 0; i < static_cast<int>(num_tets); i++) {\n    for (auto& f : kFacesOfATet) {\n      face_loop_set.insert(\n          Vector3i{tets_(i, f(0)), tets_(i, f(1)), tets_(i, f(2))});\n    }\n  }\n\n  // Identify faces on the surface.\n  std::vector<Vector3i> faces_on_surface;\n  for (int i = 0; i < static_cast<int>(num_tets); i++) {\n    for (auto& f : kFacesOfATet) {\n      Vector3i face{tets_(i, f(0)), tets_(i, f(1)), tets_(i, f(2))};\n      bool on_surface = true;\n      for (int p = 0; p < 3; p++) {\n        std::vector<int> cycled_corner_ids_;\n        for (int k = 0; k < 3; k++) {\n          cycled_corner_ids_.push_back(face((3 + p - k) % 3));\n        }\n        Vector3i cycled_vec = Eigen::Map<Vector3i>(cycled_corner_ids_.data());\n        if (face_loop_set.count(cycled_vec)) {\n          on_surface = false;\n        }\n      }\n\n      if (on_surface) {\n        faces_on_surface.push_back(face);\n      }\n    }\n  }\n\n  std::vector<Vector3f> vertices_of_surface;\n  std::vector<Vector3i> faces_of_surface;\n  int surface_vid_counter = 0;\n  for (auto& face : faces_on_surface) {\n    std::vector<int> face_of_surface;\n    for (int k = 0; k < 3; k++) {\n      int v = face(k);\n      if (!volume_to_surface_vid_.count(v)) {\n        volume_to_surface_vid_[v] = surface_vid_counter;\n        surface_to_volume_vid_[surface_vid_counter] = v;\n        vertices_of_surface.emplace_back(vertices_.row(v));\n        surface_vid_counter++;\n      }\n      face_of_surface.push_back(volume_to_surface_vid_[v]);\n    }\n    faces_of_surface.emplace_back(Eigen::Map<Vector3i>(face_of_surface.data()));\n  }\n\n  LOGI(\n      \"Surface mesh with {} vertices and {} surfaces extracted from the tet \"\n      \"mesh.\",\n      vertices_of_surface.size(), faces_of_surface.size());\n  surface_mesh_ =\n      std::make_shared<TriMesh>(ArrayVector3fToMatrixXf(vertices_of_surface),\n                                ArrayVector3iToMatrixXi(faces_of_surface));\n}\n\nvoid TetMesh::CalculateTetVolumes() const {\n  tet_volumes_ = std::make_unique<Eigen::VectorXf>(GetNumTets());\n\n  for (int i = 0; i < static_cast<int>(GetNumTets()); i++) {\n    Vector3f p[4];\n    for (int k = 0; k < 4; k++) {\n      p[k] = vertices_.row(tets_(i, k));\n    }\n\n    Eigen::Matrix3f M;\n    for (int k = 0; k < 3; k++) {\n      M.row(k) = p[k + 1] - p[0];\n    }\n    (*tet_volumes_)(i) = M.determinant() / 6;\n\n    assert((*tet_volumes_)(i) > 0);\n  }\n}\n\nvoid TetMesh::GenerateSurfaceTriangles() const {\n  auto& faces = GetSurfaceMesh().GetFaces();\n  surface_triangles_ = std::make_unique<Eigen::MatrixXi>(faces.rows(), 3);\n  for (int i = 0; i < faces.rows(); i++) {\n    Vector3i f;\n    for (int k = 0; k < 3; k++) {\n      f(k) = surface_to_volume_vid_.at(faces(i, k));\n    }\n    surface_triangles_->row(i) = f;\n  }\n}\n\nEigen::MatrixXf TetMesh::RetrievePointsFromBarycentricCoordinates(\n    const Eigen::VectorXi& tet_ids,\n    const Eigen::MatrixXf& barycentric_coords) const {\n  assert(tet_ids.size() == barycentric_coords.rows());\n  auto& vertices = GetVertices();\n  auto& tets = GetTets();\n  Eigen::MatrixXf points{tet_ids.size(), 3};\n  for (int i = 0; i < tet_ids.size(); i++) {\n    Vector3f v0 = vertices.row(tets(tet_ids[i], 0));\n    Vector3f v1 = vertices.row(tets(tet_ids[i], 1));\n    Vector3f v2 = vertices.row(tets(tet_ids[i], 2));\n    Vector3f v3 = vertices.row(tets(tet_ids[i], 3));\n    points.row(i) =\n        barycentric_coords(i, 0) * v0 + barycentric_coords(i, 1) * v1 +\n        barycentric_coords(i, 2) * v2 + barycentric_coords(i, 3) * v3;\n  }\n  return points;\n}\n\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/TetMesh.h",
    "content": "#pragma once\n\n#include \"TriMesh.h\"\n\nnamespace geomlib {\nclass TetMesh {\n public:\n  TetMesh(const Eigen::MatrixXf& vertices, const Eigen::MatrixXi& tets);\n  TetMesh(const TetMesh&) = delete;\n  TetMesh& operator=(const TetMesh&) = delete;\n  ~TetMesh() = default;\n\n  const Eigen::MatrixXf& GetVertices() const { return vertices_; }\n  size_t GetNumVertices() const { return vertices_.rows(); }\n  const Eigen::MatrixXi& GetTets() const { return tets_; }\n  size_t GetNumTets() const { return tets_.rows(); }\n\n  const TriMesh& GetSurfaceMesh() const;\n  std::shared_ptr<TriMesh> GetSurfaceMeshSharedPtr() const;\n\n  const Eigen::VectorXf& GetTetVolumes() const;\n  const Eigen::MatrixXi& GetSurfaceTriangles() const;\n\n\n  Eigen::MatrixXf RetrievePointsFromBarycentricCoordinates(\n      const Eigen::VectorXi& tet_ids,\n      const Eigen::MatrixXf& barycentric_coords) const;\n\n  void FixTetsOrientation();\n  void InvalidateCache();\n\n private:\n  void GenerateSurfaceMesh() const;\n  void CalculateTetVolumes() const;\n  void GenerateSurfaceTriangles() const;\n\n  Eigen::MatrixXf vertices_;\n  Eigen::MatrixXi tets_;\n\n  // Surface mesh is made shared_ptr so it can be passed to other owners.\n  mutable std::shared_ptr<TriMesh> surface_mesh_;\n\n  mutable std::unique_ptr<Eigen::VectorXf> tet_volumes_;\n  mutable std::unique_ptr<Eigen::MatrixXi> surface_triangles_;\n\n  // Maps that go between surface and volume indices.\n  mutable std::unordered_map<int, int> surface_to_volume_vid_;\n  mutable std::unordered_map<int, int> volume_to_surface_vid_;\n};\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/TriMesh.cpp",
    "content": "#include \"TriMesh.h\"\n#include <Eigen/Core>\n\nnamespace geomlib {\nTriMesh::TriMesh(const Eigen::MatrixXf& vertices, const Eigen::MatrixXi& faces)\n    : vertices_{vertices}, faces_{faces} {}\n\nconst Eigen::MatrixXf& TriMesh::GetVertexNormals() const {\n  if (!vertex_normals_) {\n    CalculateVertexNormals();\n  }\n  return *vertex_normals_;\n}\n\nconst Eigen::MatrixXf& TriMesh::GetFaceNormals() const {\n  if (!face_normals_) {\n    CalculateFaceNormals();\n  }\n  return *face_normals_;\n}\n\nconst Eigen::VectorXf& TriMesh::GetFaceAreas() const {\n  if (!face_areas_) {\n    CalculateFaceAreas();\n  }\n  return *face_areas_;\n}\n\nconst Eigen::MatrixXf& TriMesh::GetCotangentWeights() const {\n  if (!cotangent_weights_) {\n    CalculateCotangentWeights();\n  }\n  return *cotangent_weights_;\n}\n\nconst Eigen::VectorXf& TriMesh::GetVertexAreas() const {\n  if (!vertex_areas_) {\n    CalculateVertexAreas();\n  }\n  return *vertex_areas_;\n}\n\nconst Eigen::MatrixXi& TriMesh::GetAdjacentFacePairs() const {\n  if (!adjacent_face_pairs_) {\n    BuildAdjacentFacePairs();\n  }\n  return *adjacent_face_pairs_;\n}\n\nvoid TriMesh::CalculateVertexNormals() const {\n  CalculateFaceNormals();\n  vertex_normals_ = std::make_unique<Eigen::MatrixXf>(\n      Eigen::MatrixXf::Zero(GetNumVertices(), 3));\n  for (int i = 0; i < static_cast<int>(GetNumFaces()); i++) {\n    int v1 = faces_(i, 0);\n    int v2 = faces_(i, 1);\n    int v3 = faces_(i, 2);\n    Eigen::Vector3f n = face_normals_->row(i);\n    vertex_normals_->row(v1) += n;\n    vertex_normals_->row(v2) += n;\n    vertex_normals_->row(v3) += n;\n  }\n\n  for (int i = 0; i < static_cast<int>(GetNumVertices()); i++) {\n    vertex_normals_->row(i).normalize();\n  }\n}\n\nvoid TriMesh::CalculateFaceNormals() const {\n  face_normals_ = std::make_unique<Eigen::MatrixXf>(GetNumFaces(), 3);\n  for (int i = 0; i < GetNumFaces(); i++) {\n    int v1 = faces_(i, 0);\n    int v2 = faces_(i, 1);\n    int v3 = faces_(i, 2);\n    Eigen::Vector3f p1 = vertices_.row(v1);\n    Eigen::Vector3f p2 = vertices_.row(v2);\n    Eigen::Vector3f p3 = vertices_.row(v3);\n    face_normals_->row(i) = (p2 - p1).cross(p3 - p1);\n  }\n}\n\nvoid TriMesh::CalculateFaceAreas() const {\n  auto& face_normals = GetFaceNormals();\n  face_areas_ = std::make_unique<Eigen::VectorXf>(GetNumFaces());\n  for (int k = 0; k < GetNumFaces(); k++) {\n    (*face_areas_)(k) = face_normals.row(k).norm() / 2;\n  }\n}\n\nvoid TriMesh::CalculateCotangentWeights() const {\n  Eigen::MatrixXf p1(faces_.rows(), 3);\n  Eigen::MatrixXf p2(faces_.rows(), 3);\n  Eigen::MatrixXf p3(faces_.rows(), 3);\n  for (int i = 0; i < faces_.rows(); i++) {\n    p1.row(i) = vertices_.row(faces_(i, 0));\n    p2.row(i) = vertices_.row(faces_(i, 1));\n    p3.row(i) = vertices_.row(faces_(i, 2));\n  }\n\n  Eigen::VectorXf l1 = (p2 - p3).rowwise().norm();\n  Eigen::VectorXf l2 = (p1 - p3).rowwise().norm();\n  Eigen::VectorXf l3 = (p1 - p2).rowwise().norm();\n  Eigen::VectorXf s = (l1 + l2 + l3) / 2;\n  Eigen::VectorXf r = (s - l1)\n                          .cwiseProduct(s - l2)\n                          .cwiseProduct(s - l3)\n                          .cwiseQuotient(s)\n                          .cwiseSqrt();\n\n  auto fn = [&](const Eigen::VectorXf& l) -> Eigen::VectorXf {\n    return ((s - l).cwiseAbs2() - r.cwiseAbs2())\n        .cwiseQuotient(2 * (s - l).cwiseProduct(r));\n  };\n\n  cotangent_weights_ = std::make_unique<Eigen::MatrixXf>(GetNumFaces(), 3);\n  cotangent_weights_->col(0) = fn(l1);\n  cotangent_weights_->col(1) = fn(l2);\n  cotangent_weights_->col(2) = fn(l3);\n}\n\nvoid TriMesh::CalculateVertexAreas() const {\n  vertex_areas_ = std::make_unique<Eigen::VectorXf>(\n      Eigen::VectorXf::Zero(GetNumVertices()));\n  for (int k = 0; k < GetNumFaces(); k++) {\n    Eigen::Vector3f n = face_normals_->row(k);\n    float a = n.norm() / 6;\n    for (int i = 0; i < 3; i++) {\n      (*vertex_areas_)(faces_(k, i)) += a;\n    }\n  }\n}\n\nvoid TriMesh::BuildAdjacentFacePairs() const {\n  std::vector<Vector2i> face_pairs;\n  std::unordered_map<Vector2i, int, Vector2iHasher> edge_neighbor_;\n\n  for (int i = 0; i < GetNumFaces(); i++) {\n    for (int k = 0; k < 3; k++) {\n      int u = faces_(i, k);\n      int v = faces_(i, (k + 1) % 3);\n\n      if (edge_neighbor_.count({v, u})) {\n        face_pairs.emplace_back(i, edge_neighbor_[{v, u}]);\n      } else {\n        edge_neighbor_.emplace(Vector2i{u, v}, i);\n      }\n    }\n  }\n\n  adjacent_face_pairs_ =\n      std::make_unique<Eigen::MatrixXi>(ArrayVector2iToMatrixXi(face_pairs));\n}\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/TriMesh.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\nnamespace geomlib {\nclass TriMesh {\n public:\n  TriMesh(const Eigen::MatrixXf& vertices, const Eigen::MatrixXi& faces);\n  TriMesh(const TriMesh&) = delete;\n  TriMesh& operator=(const TriMesh&) = delete;\n  ~TriMesh() = default;\n\n  const Eigen::MatrixXf& GetVertices() const { return vertices_; }\n  size_t GetNumVertices() const { return vertices_.rows(); }\n  const Eigen::MatrixXi& GetFaces() const { return faces_; }\n  size_t GetNumFaces() const { return faces_.rows(); }\n\n  const Eigen::MatrixXf& GetVertexNormals() const;\n  const Eigen::MatrixXf& GetFaceNormals() const;\n  const Eigen::VectorXf& GetFaceAreas() const;\n  const Eigen::MatrixXf& GetCotangentWeights() const;\n  const Eigen::VectorXf& GetVertexAreas() const;\n  const Eigen::MatrixXi& GetAdjacentFacePairs() const;\n\n private:\n  // Lazy initializations.\n  void CalculateVertexNormals() const;\n  void CalculateFaceNormals() const;\n  void CalculateFaceAreas() const;\n  void CalculateCotangentWeights() const;\n  void CalculateVertexAreas() const;\n  void BuildAdjacentFacePairs() const;\n\n  Eigen::MatrixXf vertices_;\n  Eigen::MatrixXi faces_;\n\n  mutable std::unique_ptr<Eigen::MatrixXf> vertex_normals_;\n  mutable std::unique_ptr<Eigen::MatrixXf> face_normals_;\n  mutable std::unique_ptr<Eigen::VectorXf> face_areas_;\n  mutable std::unique_ptr<Eigen::MatrixXf> cotangent_weights_;  // |F| x 3\n  mutable std::unique_ptr<Eigen::VectorXf> vertex_areas_;\n  mutable std::unique_ptr<Eigen::MatrixXi> adjacent_face_pairs_;\n};\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/TriangularMeshSampler.cpp",
    "content": "#include \"TriangularMeshSampler.h\"\n\n#include <ATen/Functions.h>\n\nusing namespace torch::indexing;\n\nnamespace geomlib {\nTriangularMeshSampler::TriangularMeshSampler(torch::Tensor vertices,\n                                             torch::Tensor faces)\n    : vertices_{vertices}, faces_{faces} {\n  auto v0 = vertices.index({faces.index({Slice(), 0}), Slice()});\n  auto v1 = vertices.index({faces.index({Slice(), 1}), Slice()});\n  auto v2 = vertices.index({faces.index({Slice(), 2}), Slice()});\n  areas_ = (v1 - v0).cross(v2 - v0).norm(2, -1) / 2;\n}\n\ntorch::Tensor TriangularMeshSampler::Sample(int batch_size) {\n  // Sample with replacement.\n  auto chosen_faces = torch::multinomial(areas_, batch_size, true);\n  auto v0 = vertices_.index({faces_.index({chosen_faces, 0}), Slice()});\n  auto v1 = vertices_.index({faces_.index({chosen_faces, 1}), Slice()});\n  auto v2 = vertices_.index({faces_.index({chosen_faces, 2}), Slice()});\n\n  auto r1 = torch::rand({batch_size}, v0.options());\n  auto r2 = torch::rand({batch_size}, v0.options());\n\n  return (1 - torch::sqrt(r1 + 1e-10f)).unsqueeze(1) * v0 +\n         (torch::sqrt(r1 + 1e-10f) * (1 - r2)).unsqueeze(1) * v1 +\n         (r2 * torch::sqrt(r1 + 1e-10f)).unsqueeze(1) * v2;\n}\n\ntorch::Tensor TriangularMeshSampler::GetVertices() { return vertices_; }\n\ntorch::Tensor TriangularMeshSampler::GetFaces() { return faces_; }\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/TriangularMeshSampler.h",
    "content": "#pragma once\n#include <torch/torch.h>\n\nnamespace geomlib {\nclass TriangularMeshSampler {\n public:\n  TriangularMeshSampler(torch::Tensor vertices, torch::Tensor faces);\n  torch::Tensor Sample(int batch_size);\n  torch::Tensor GetVertices();\n  torch::Tensor GetFaces();\n\n private:\n  torch::Tensor vertices_;\n  torch::Tensor faces_;\n  torch::Tensor areas_;\n};\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/autograd/GeneralizedProjection.cpp",
    "content": "#include \"GeneralizedProjection.h\"\n"
  },
  {
    "path": "geomlib/geomlib/autograd/GeneralizedProjection.h",
    "content": "#pragma once\n\n#include \"geomlib/common.h\"\n#include \"geomlib/generalized_projection.h\"\n\nnamespace geomlib {\ntemplate <int dim>\nclass GeneralizedTriangleProjection\n    : public torch::autograd::Function<GeneralizedTriangleProjection<dim>> {\n public:\n  static std::vector<torch::Tensor> forward(\n      torch::autograd::AutogradContext* ctx, torch::Tensor points,\n      const TriangularProjectionInfo& info) {\n    auto proj_result =\n        ComputeGeneralizedTriangleProjection<dim>(points.contiguous(), info);\n    auto result_dists = proj_result[0];\n    auto result_idxs = proj_result[1];  // always int64_t\n    auto result_w1 = proj_result[2];\n    auto result_w2 = proj_result[3];\n    auto grad_w1 = info.grad_w1;\n    auto grad_w2 = info.grad_w2;\n\n    std::vector<torch::Tensor> result{result_dists, result_idxs,\n                                      1 - result_w1 - result_w2, result_w1,\n                                      result_w2};\n    ctx->mark_non_differentiable({result_dists, result_idxs});\n    ctx->save_for_backward({result_idxs, grad_w1, grad_w2});\n    return result;\n  }\n\n  static std::vector<torch::Tensor> backward(\n      torch::autograd::AutogradContext* ctx,\n      std::vector<torch::Tensor> grad_outputs) {\n    assert(grad_outputs.size() == 5);\n    auto saved = ctx->get_saved_variables();\n    auto result_idxs = saved[0];\n    auto grad_w1 = saved[1];\n    auto grad_w2 = saved[2];\n\n    using namespace torch::indexing;\n    auto grad_w1_result = grad_w1.index({result_idxs, Slice()});\n    auto grad_w2_result = grad_w2.index({result_idxs, Slice()});\n    auto grad_w0_result = -grad_w1_result - grad_w2_result;\n\n    grad_w0_result = grad_outputs.at(2).unsqueeze(1) * grad_w0_result;\n    grad_w1_result = grad_outputs.at(3).unsqueeze(1) * grad_w1_result;\n    grad_w2_result = grad_outputs.at(4).unsqueeze(1) * grad_w2_result;\n\n    auto grad_p = grad_w0_result + grad_w1_result + grad_w2_result;\n\n    // Return as many tensors as there were in the inputs, and empty tensors for\n    // non-input.\n    return {grad_p, torch::Tensor()};\n  }\n};\n\ntemplate <int dim>\nclass GeneralizedTetrahedronProjection\n    : public torch::autograd::Function<GeneralizedTetrahedronProjection<dim>> {\n public:\n  static std::vector<torch::Tensor> forward(\n      torch::autograd::AutogradContext* ctx, torch::Tensor points,\n      torch::Tensor vertices, torch::Tensor tets) {\n    auto proj_result = ComputeGeneralizedTetrahedronProjection<dim>(\n        points.contiguous(), vertices.contiguous(),\n        tets.contiguous().to(torch::kInt64));\n    auto result_dists = proj_result[0];\n    auto result_idxs = proj_result[1].to(tets.dtype());\n    torch::Tensor result_weights = proj_result[2];  // Nx3\n    auto base_weight = (1 - result_weights.sum(-1)).unsqueeze(1);\n    result_weights = torch::cat({base_weight, result_weights}, 1);\n\n    std::vector<torch::Tensor> result{result_dists, result_idxs,\n                                      result_weights};\n    ctx->mark_non_differentiable({result_dists, result_idxs, result_weights});\n    return result;\n  }\n\n  // No gradient for tetrahedron projection.\n  static std::vector<torch::Tensor> backward(\n      [[maybe_unused]] torch::autograd::AutogradContext* ctx,\n      [[maybe_unused]] std::vector<torch::Tensor> grad_outputs) {\n    return {torch::Tensor(), torch::Tensor(), torch::Tensor()};\n  }\n};\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/common.cpp",
    "content": "#include \"common.h\"\n\nnamespace geomlib {\nstd::vector<std::string> Split(const std::string& s, char delim) {\n  std::stringstream ss(s);\n  std::string item;\n  std::vector<std::string> result;\n  while (std::getline(ss, item, delim)) {\n    result.emplace_back(std::move(item));\n  }\n  return result;\n}\n\nstd::size_t Vector2iHasher::operator()(const Vector2i& c) const {\n  return hash_combine(c.x(), c.y());\n}\n\nstd::size_t Vector3iHasher::operator()(const Vector3i& c) const {\n  return hash_combine(0, hash_combine(c.x(), hash_combine(c.y(), c.z())));\n}\n\nEigen::MatrixXf ArrayVector3fToMatrixXf(const std::vector<Vector3f>& array) {\n  Eigen::MatrixXf result{array.size(), array[0].size()};\n  for (int i = 0; i < static_cast<int>(array.size()); i++) {\n    result.row(i) = array[i];\n  }\n  return result;\n}\n\nEigen::MatrixXi ArrayVector2iToMatrixXi(const std::vector<Vector2i>& array) {\n  Eigen::MatrixXi result{array.size(), array[0].size()};\n  for (int i = 0; i < static_cast<int>(array.size()); i++) {\n    result.row(i) = array[i];\n  }\n  return result;\n}\n\nEigen::MatrixXi ArrayVector3iToMatrixXi(const std::vector<Vector3i>& array) {\n  Eigen::MatrixXi result{array.size(), array[0].size()};\n  for (int i = 0; i < static_cast<int>(array.size()); i++) {\n    result.row(i) = array[i];\n  }\n  return result;\n}\n}  // namespace geomlib"
  },
  {
    "path": "geomlib/geomlib/common.cuh",
    "content": "#pragma once\n\n#include <cuda.h>\n#include <cuda_runtime_api.h>\n#include <driver_types.h>\n#include <torch/torch.h>\n\nnamespace geomlib {\n#define CHECK_CUDA(code) __CheckCudaErrors(code, __FILE__, __LINE__)\n\ninline void __CheckCudaErrors(cudaError_t code, const char* file,\n                              const int line) {\n  if (code != cudaSuccess) {\n    fprintf(stderr, \"CheckCudaErrors(): %s %s %d\\n\", cudaGetErrorString(code),\n            file, line);\n    exit(code);\n  }\n}\n\n#define CHECK_ON_CUDA(x) TORCH_CHECK(x.is_cuda(), #x \" must be a CUDA tensor\")\n#define CHECK_CONTIGUOUS(x) \\\n  TORCH_CHECK(x.is_contiguous(), #x \" must be contiguous\")\n#define CHECK_INPUT(x) \\\n  CHECK_ON_CUDA(x);    \\\n  CHECK_CONTIGUOUS(x)\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/common.h",
    "content": "#pragma once\n\n#include <Eigen/Dense>\n#include <fstream>\n#include <iostream>\n#include <map>\n#include <memory>\n#include <string>\n#include <unordered_map>\n#include <unordered_set>\n#include <vector>\n\nnamespace geomlib {\nstd::vector<std::string> Split(const std::string& s, char delim);\n\n// TODO: merge below with common.h in hex\ntemplate <class T>\ninline std::size_t hash_combine(std::size_t seed, const T& v) {\n  std::hash<T> hasher;\n  seed ^= hasher(v) + 0x9e3779b9 + (seed << 6) + (seed >> 2);\n  return seed;\n}\n\nusing Vector3f = Eigen::Vector3f;\nusing Vector2i = Eigen::Vector2i;\nusing Vector3i = Eigen::Vector3i;\nusing Vector4i = Eigen::Matrix<int, 4, 1, Eigen::DontAlign>;\n\nstruct Vector2iHasher {\n  std::size_t operator()(const Vector2i& c) const;\n};\n\nstruct Vector3iHasher {\n  std::size_t operator()(const Vector3i& c) const;\n};\n\nEigen::MatrixXf ArrayVector3fToMatrixXf(const std::vector<Vector3f>& array);\nEigen::MatrixXi ArrayVector2iToMatrixXi(const std::vector<Vector2i>& array);\nEigen::MatrixXi ArrayVector3iToMatrixXi(const std::vector<Vector3i>& array); \n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/generalized_projection.h",
    "content": "#pragma once\n\n#include <torch/torch.h>\n\n#include \"generalized_projection_info.h\"\n\nnamespace geomlib {\ntemplate <int dim>\nstd::vector<torch::Tensor> ComputeGeneralizedTriangleProjection(\n    torch::Tensor points, const TriangularProjectionInfo& info);\n\ntemplate <int dim>\nstd::vector<torch::Tensor> ComputeGeneralizedTetrahedronProjection(\n    torch::Tensor points, torch::Tensor vertices, torch::Tensor tets);\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/generalized_projection_cuda.cu",
    "content": "// clang-format off\n#include \"generalized_projection.h\"\n// clang-format on\n\n#include <ATen/Functions.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <c10/cuda/CUDAGuard.h>\n\n#include \"common.cuh\"\n#include \"utils.cuh\"\n#include \"vec_utils.cuh\"\n\nnamespace geomlib {\n    namespace {\n        const float kEps = 1e-8;\n        template <int dim, typename scalar_t>\n            __device__ inline void ComputeBarycentricGradient(\n                    const scalar_t* e1, const scalar_t* e2, const scalar_t e1_dot_e2,\n                    const scalar_t e1_norm_sqr, const scalar_t e2_norm_sqr, scalar_t* grad_w1,\n                    scalar_t* grad_w2) {\n                {\n                    zero_out_vec<dim>(grad_w1);\n                    add_vec<dim>(grad_w1, e1);\n                    scalar_t tmp[dim];\n                    scalar_times_vec<dim>(-e1_dot_e2 / (kEps + e2_norm_sqr), e2, tmp);\n                    add_vec<dim>(grad_w1, tmp);\n                    scalar_t denom = e1_norm_sqr - e1_dot_e2 * e1_dot_e2 / (kEps + e2_norm_sqr);\n                    scalar_times_vec<dim>(1 / (denom + kEps), grad_w1, grad_w1);\n                }\n                {\n                    zero_out_vec<dim>(grad_w2);\n                    add_vec<dim>(grad_w2, e2);\n                    scalar_t tmp[dim];\n                    scalar_times_vec<dim>(-e1_dot_e2 / (kEps + e1_norm_sqr), e1, tmp);\n                    add_vec<dim>(grad_w2, tmp);\n                    scalar_t denom = e2_norm_sqr - e1_dot_e2 * e1_dot_e2 / (kEps + e1_norm_sqr);\n                    scalar_times_vec<dim>(1 / (denom + kEps), grad_w2, grad_w2);\n                }\n            }\n\n        template <int dim, typename scalar_t>\n            __device__ void GeneralizedTriangleProjection(\n                    const scalar_t* p, const scalar_t* v0, const scalar_t* e1,\n                    const scalar_t* e2, const scalar_t e1_dot_e2, const scalar_t e1_norm_sqr,\n                    const scalar_t e2_norm_sqr, const scalar_t* grad_w1,\n                    const scalar_t* grad_w2,\n                    // Below are results:\n                    scalar_t* result_dist, scalar_t* result_w1, scalar_t* result_w2) {\n                scalar_t w1, w2;\n                scalar_t\n                    p_minus_v0[dim];  // this array is unavoidable since we need to compute\n                // this for every pair of query point and face\n\n                bool degenerate = false;\n                minus_vec<dim>(p, v0, p_minus_v0);\n                if (grad_w1 == nullptr || grad_w2 == nullptr) {\n                    scalar_t b1 = dot_vec<dim>(e1, p_minus_v0);\n                    scalar_t b2 = dot_vec<dim>(e2, p_minus_v0);\n\n                    scalar_t det = e1_norm_sqr * e2_norm_sqr - e1_dot_e2 * e1_dot_e2;\n                    if (det < -kEps || det > kEps) {\n                        // Cramer's rule.\n                        w1 = (b1 * e2_norm_sqr - b2 * e1_dot_e2) / det;\n                        w2 = (b2 * e1_norm_sqr - b1 * e1_dot_e2) / det;\n                    } else {\n                        degenerate = true;\n                    }\n                } else {\n                    w1 = dot_vec<dim>(grad_w1, p_minus_v0);\n                    w2 = dot_vec<dim>(grad_w2, p_minus_v0);\n                }\n\n\n                if (!degenerate && 0 <= 1 - w1 - w2 && 0 <= w1 && 0 <= w2) {\n                    scalar_t p_proj[dim];\n                    {\n                        {\n                            scalar_t w1_e1[dim];\n                            scalar_times_vec<dim>(w1, e1, w1_e1);\n                            scalar_times_vec<dim>(w2, e2, p_proj);\n                            add_vec<dim>(p_proj, w1_e1);\n                        }\n                    }\n                    *result_dist = distance_sqr_vec<dim>(p_minus_v0, p_proj);\n                    *result_w1 = w1;\n                    *result_w2 = w2;\n                } else {\n                    // Project to three edges.\n                    scalar_t w1_tmp[3];\n                    scalar_t w2_tmp[3];\n\n                    w1_tmp[0] = clamp01(dot_vec<dim>(p_minus_v0, e1) / (kEps + e1_norm_sqr));\n                    w2_tmp[0] = 0;\n\n                    w2_tmp[1] = clamp01(dot_vec<dim>(p_minus_v0, e2) / (kEps + e2_norm_sqr));\n                    w1_tmp[1] = 0;\n\n                    {\n                        scalar_t numer = dot_vec<dim>(p_minus_v0, e2) -\n                            dot_vec<dim>(p_minus_v0, e1) - e1_dot_e2 + e1_norm_sqr;\n                        scalar_t denom = e1_norm_sqr + e2_norm_sqr - 2 * e1_dot_e2;\n                        w2_tmp[2] = clamp01(numer / (kEps + denom));\n                        w1_tmp[2] = 1 - w2_tmp[2];\n                    }\n\n                    scalar_t best_dist = FLT_MAX;\n                    int best_k = -1;\n\n                    for (int k = 0; k < 3; k++) {\n                        scalar_t p_proj[dim];\n                        scalar_t w1_e1[dim];\n                        scalar_times_vec<dim>(w1_tmp[k], e1, w1_e1);\n                        scalar_times_vec<dim>(w2_tmp[k], e2, p_proj);\n                        add_vec<dim>(p_proj, w1_e1);\n                        scalar_t dist = distance_sqr_vec<dim>(p_minus_v0, p_proj);\n                        if (dist < best_dist) {\n                            best_dist = dist;\n                            best_k = k;\n                        }\n                    }\n\n                    *result_dist = best_dist;\n                    *result_w1 = w1_tmp[best_k];\n                    *result_w2 = w2_tmp[best_k];\n                }\n            }\n\n\n        template <int dim, typename scalar_t>\n            __device__ void GeneralizedTetrahedronProjection(\n                    const scalar_t* p,              // D\n                    const scalar_t* v0,             // D\n                    const scalar_t* e_mat,          // 3xD,\n                    const scalar_t* e_dot_mat,      // 3x3\n                    const scalar_t* e_dot_inv_mat,  // 3x3\n                    const scalar_t is_degenerate,   // float, 1.0 if degenerate\n                    // Below are results:\n                    scalar_t* result_dist,    // scalar\n                    scalar_t* result_weights  // 3\n                    ) {\n                bool recurse = true;\n                {\n                    scalar_t p_minus_v0[dim];\n                    minus_vec<dim>(p, v0, p_minus_v0);\n                    scalar_t b[3];\n                    for (int i = 0; i < 3; i++) {\n                        b[i] = dot_vec<dim>(&e_mat[i * dim], p_minus_v0);\n                    }\n                    if (is_degenerate < 0.5) {\n                        scalar_t weights[3];\n                        mat_vec_mult<3>(e_dot_inv_mat, b, weights);\n                        scalar_t weight_op = 1 - weights[0] - weights[1] - weights[2];\n                        if (weights[0] >= 0 && weights[1] >= 0 && weights[2] >= 0\n                                && weight_op >= 0) {\n                            recurse = false;\n                            copy_vec<3>(result_weights, weights);\n\n                            scalar_t p_proj[dim];\n                            zero_out_vec<dim>(p_proj);\n                            for (int i = 0; i < 3; i++) {\n                                scalar_t tmp[dim];\n                                scalar_times_vec<dim>(result_weights[i], &e_mat[i * dim], tmp);\n                                add_vec<dim>(p_proj, tmp);\n                            }\n                            *result_dist = distance_sqr_vec<dim>(p, p_proj);\n                        }\n                    }\n                }\n                if (recurse) {\n                    // Calculate weights by projecting onto each of 4 faces.\n                    *result_dist = FLT_MAX;\n                    for (int i = 0; i < 4; i++) {\n                        scalar_t vc[dim];\n                        scalar_t ecj[dim];\n                        scalar_t eck[dim];\n                        scalar_t ecj_dot_eck;\n                        scalar_t ecj_norm_sqr;\n                        scalar_t eck_norm_sqr;\n                        if (i < 3) {\n                            copy_vec<dim>(vc, v0);\n                            int j = i;\n                            int k = (i + 1) % 3;\n                            copy_vec<dim>(ecj, &e_mat[j * dim]);\n                            copy_vec<dim>(eck, &e_mat[k * dim]);\n                            ecj_dot_eck = e_dot_mat[j * 3 + k];\n                            ecj_norm_sqr = e_dot_mat[j * 3 + j];\n                            eck_norm_sqr = e_dot_mat[k * 3 + k];\n                        } else {\n                            plus_vec<dim>(v0, &e_mat[2 * dim], vc);\n                            minus_vec<dim>(&e_mat[0 * dim], &e_mat[2 * dim], ecj);\n                            minus_vec<dim>(&e_mat[1 * dim], &e_mat[2 * dim], eck);\n                            ecj_dot_eck = dot_vec<dim>(ecj, eck);\n                            ecj_norm_sqr = dot_vec<dim>(ecj, ecj);\n                            eck_norm_sqr = dot_vec<dim>(eck, eck);\n                        }\n                        scalar_t cur_dist;\n                        scalar_t cur_weights[2];\n                        GeneralizedTriangleProjection<dim>(\n                                p, vc, ecj, eck, ecj_dot_eck, ecj_norm_sqr, eck_norm_sqr,\n                                (const scalar_t*)nullptr, (const scalar_t*)nullptr,\n                                &cur_dist, &cur_weights[0], &cur_weights[1]);\n                        if (cur_dist < *result_dist) {\n                            *result_dist = cur_dist;\n                            zero_out_vec<3>(result_weights);\n                            if (i < 3) {\n                                result_weights[i] = cur_weights[0];\n                                result_weights[(i + 1) % 3] = cur_weights[1];\n                            } else {\n                                result_weights[0] = cur_weights[0];\n                                result_weights[1] = cur_weights[1];\n                                result_weights[2] = 1 - cur_weights[0] - cur_weights[1];\n                            }\n                        }\n                    }\n                }\n            }\n\n        template <int dim, typename scalar_t>\n            __global__ void GeneralizedTriangleProjectionKernel(\n                    const scalar_t* __restrict__ points,  // P x D\n                    const size_t num_faces,\n                    // Pre-computed values:\n                    const scalar_t* __restrict__ v0,           // FxD, vertex 0 of faces\n                    const scalar_t* __restrict__ e1,           // FxD, vertex 1 - vertex 0\n                    const scalar_t* __restrict__ e2,           // FxD\n                    const scalar_t* __restrict__ e1_dot_e2,    // F\n                    const scalar_t* __restrict__ e1_norm_sqr,  // F\n                    const scalar_t* __restrict__ e2_norm_sqr,  // F\n                    const scalar_t* __restrict__ grad_w1,      // FxD, dw1/dp on the face\n                    const scalar_t* __restrict__ grad_w2,      // FxD\n                    // Results:\n                    scalar_t* __restrict__ result_dists, int* __restrict__ result_idxs,\n                    scalar_t* __restrict__ result_w1, scalar_t* __restrict__ result_w2) {\n                extern __shared__ char shared_buf[];\n                scalar_t* min_dists = (scalar_t*)shared_buf;         // scalar_t[num_threads]\n                size_t* min_tids = (size_t*)&min_dists[blockDim.x];  // size_t[num_threads]\n\n                // Each block computing the projection of a single point.\n                const size_t i = blockIdx.x;\n                // Faces are divided evenly among the threads.\n                const size_t tid = threadIdx.x;\n\n                const scalar_t* p = &points[i * dim];  // point to project\n\n                scalar_t min_dist = FLT_MAX;\n                size_t min_idx = 0;\n                scalar_t min_w1;\n                scalar_t min_w2;\n\n                for (int j = tid; j < num_faces; j += blockDim.x) {\n                    scalar_t dist, w1, w2;\n                    GeneralizedTriangleProjection<dim, scalar_t>(\n                            p, &v0[j * dim], &e1[j * dim], &e2[j * dim], e1_dot_e2[j],\n                            e1_norm_sqr[j], e2_norm_sqr[j], &grad_w1[j * dim], &grad_w2[j * dim],\n                            &dist, &w1, &w2);\n\n                    if (dist < min_dist) {\n                        min_dist = dist;\n                        min_idx = j;\n                        min_w1 = w1;\n                        min_w2 = w2;\n                    }\n                }\n                min_dists[tid] = min_dist;\n                min_tids[tid] = tid;\n                __syncthreads();\n\n                ReduceMin(min_dists, min_tids, tid);\n\n                __syncthreads();\n\n                // Finally thread with min_dist writes the result to the output.\n                if (tid == min_tids[0]) {\n                    result_dists[i] = min_dist;  // squared minimum distance\n                    result_idxs[i] = min_idx;\n                    assert(min_idx < num_faces);\n                    result_w1[i] = min_w1;\n                    result_w2[i] = min_w2;\n                }\n            }\n\n        template <int dim, typename scalar_t>\n            __global__ void GeneralizedTetrahedronProjectionKernel(\n                    const scalar_t* __restrict__ points,  // P x D\n                    const size_t num_tets,\n                    // Pre-computed values:\n                    const scalar_t* __restrict__ v0,             // TxD, vertex 0 of faces\n                    const scalar_t* __restrict__ e_mat,          // Tx3xD, vertex i - vertex 0\n                    const scalar_t* __restrict__ e_dot_mat,      // Tx3x3\n                    const scalar_t* __restrict__ e_dot_inv_mat,  // Tx3x3\n                    const scalar_t* __restrict__ is_degenerate,  // T\n                    // Results:\n                    scalar_t* __restrict__ result_dists, int* __restrict__ result_idxs,\n                    scalar_t* __restrict__ result_weights  // Px3\n                    ) {\n                extern __shared__ char shared_buf[];\n                scalar_t* min_dists = (scalar_t*)shared_buf;         // scalar_t[num_threads]\n                size_t* min_tids = (size_t*)&min_dists[blockDim.x];  // size_t[num_threads]\n\n                // Each block computing the projection of a single point.\n                const size_t i = blockIdx.x;\n                // Faces are divided evenly among the threads.\n                const size_t tid = threadIdx.x;\n\n                const scalar_t* p = &points[i * dim];  // point to project\n\n                scalar_t min_dist = FLT_MAX;\n                size_t min_idx = 0;\n                scalar_t min_weights[3];\n\n                for (int j = tid; j < num_tets; j += blockDim.x) {\n                    scalar_t dist;\n                    scalar_t weights[3];\n                    GeneralizedTetrahedronProjection<dim, scalar_t>(\n                            p, &v0[j * dim], &e_mat[j * 3 * dim], &e_dot_mat[j * 3 * 3],\n                            &e_dot_inv_mat[j * 3 * 3], is_degenerate[j],\n                            &dist, weights);\n\n                    if (dist < min_dist) {\n                        min_dist = dist;\n                        min_idx = j;\n                        copy_vec<3>(min_weights, weights);\n                    }\n                }\n                min_dists[tid] = min_dist;\n                min_tids[tid] = tid;\n                __syncthreads();\n\n                ReduceMin(min_dists, min_tids, tid);\n\n                // Finally thread with min_dist writes the result to the output.\n                if (tid == min_tids[0]) {\n                    result_dists[i] = min_dist;  // squared minimum distance\n                    result_idxs[i] = min_idx;\n                    assert(min_idx < num_tets);\n                    copy_vec<3>(&result_weights[i * 3], min_weights);\n                }\n            }\n    }  // namespace\n\n    template <int dim>\n        std::vector<torch::Tensor> ComputeGeneralizedTriangleProjection(\n                torch::Tensor points, const TriangularProjectionInfo& info) {\n            CHECK_INPUT(points);\n\n            TORCH_CHECK(points.size(1) == dim);\n            TORCH_CHECK(info.dim == dim);\n            TORCH_CHECK(points.dtype() == torch::kFloat32 ||\n                    points.dtype() == torch::kFloat64);\n            TORCH_CHECK(points.dtype() == info.v0.dtype());\n\n            at::cuda::CUDAGuard device_guard{points.device()};\n            cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n\n            int num_points = points.size(0);\n            int num_faces = info.num_faces;\n\n            torch::Tensor result_dists =\n                torch::zeros({num_points}, points.options()).contiguous();\n            torch::Tensor result_idxs =\n                torch::zeros({num_points}, points.options().dtype(torch::kInt32))\n                .contiguous();\n            torch::Tensor result_w1 =\n                torch::zeros({num_points}, points.options()).contiguous();\n            torch::Tensor result_w2 =\n                torch::zeros({num_points}, points.options()).contiguous();\n\n            size_t num_threads = 128;\n            dim3 num_blocks(num_points);\n            size_t shared_size =\n                num_threads *\n                ((points.dtype() == torch::kFloat32 ? sizeof(float) : sizeof(double)) +\n                 sizeof(size_t));\n\n            AT_DISPATCH_FLOATING_TYPES(\n                    points.scalar_type(), \"ComputeGeneralizedTriangleProjection\", [&] {\n                    GeneralizedTriangleProjectionKernel<dim, scalar_t>\n                    <<<num_blocks, num_threads, shared_size, stream>>>(\n                            points.contiguous().data_ptr<scalar_t>(),\n                            static_cast<size_t>(num_faces),\n                            info.v0.contiguous().data_ptr<scalar_t>(),\n                            info.e1.contiguous().data_ptr<scalar_t>(),\n                            info.e2.contiguous().data_ptr<scalar_t>(),\n                            info.e1_dot_e2.contiguous().data_ptr<scalar_t>(),\n                            info.e1_norm_sqr.contiguous().data_ptr<scalar_t>(),\n                            info.e2_norm_sqr.contiguous().data_ptr<scalar_t>(),\n                            info.grad_w1.contiguous().data_ptr<scalar_t>(),\n                            info.grad_w2.contiguous().data_ptr<scalar_t>(),\n                            result_dists.data_ptr<scalar_t>(), result_idxs.data_ptr<int>(),\n                            result_w1.data_ptr<scalar_t>(), result_w2.data_ptr<scalar_t>());\n                    });\n\n            AT_CUDA_CHECK(cudaGetLastError());\n\n            return {result_dists, result_idxs.to(torch::kInt64), result_w1, result_w2};\n        }\n\n    template <int dim>\n        std::vector<torch::Tensor> ComputeGeneralizedTetrahedronProjection(\n                torch::Tensor points, torch::Tensor vertices, torch::Tensor tets) {\n            CHECK_INPUT(points);\n            CHECK_INPUT(vertices);\n            CHECK_INPUT(tets);\n\n            TORCH_CHECK(points.size(1) == dim);\n            TORCH_CHECK(vertices.size(1) == dim);\n            TORCH_CHECK(points.dtype() == torch::kFloat32 ||\n                    points.dtype() == torch::kFloat64);\n            TORCH_CHECK(tets.dtype() ==\n                    torch::kInt64);  // torch requires 64-bit int for indexing\n            TORCH_CHECK(points.dtype() == vertices.dtype());\n\n            at::cuda::CUDAGuard device_guard{points.device()};\n            cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n\n            // Pre-compute reusable values.\n            using namespace torch::indexing;\n            std::vector<torch::Tensor> v_list;\n            for (int i = 0; i < 4; i++) {\n                v_list.push_back(vertices.index({tets.index({Slice(), i}), Slice()}));\n            }\n            std::vector<torch::Tensor> e_list;\n            for (int i = 1; i < 4; i++) {\n                e_list.push_back(v_list[i] - v_list[0]);\n            }\n            std::vector<torch::Tensor> e_dot_list;\n            for (int i = 0; i < 3; i++) {\n                for (int j = 0; j < 3; j++) {\n                    e_dot_list.push_back((e_list[i] * e_list[j]).sum(-1));\n                }\n            }\n            auto e_mat = torch::stack(e_list, 1);                              // Tx3xD\n            auto e_dot_mat = torch::stack(e_dot_list, 1).reshape({-1, 3, 3});  // Tx3x3\n\n            auto e_dot_mat_det = torch::linalg_det(e_dot_mat); // T\n            auto is_degenerate = (e_dot_mat_det.abs() < kEps).to(points.dtype()); // T\n            auto e_dot_inv_mat = torch::linalg_pinv(e_dot_mat);  // Tx3x3\n\n            size_t num_points = points.size(0);\n            size_t num_tets = tets.size(0);\n\n            torch::Tensor result_dists =\n                torch::zeros({static_cast<int>(num_points)}, points.options())\n                .contiguous();\n            torch::Tensor result_idxs = torch::zeros({static_cast<int>(num_points)},\n                    tets.options().dtype(torch::kInt32))\n                .contiguous();\n            torch::Tensor result_weights =\n                torch::zeros({static_cast<int>(num_points), 3},\n                        points.options())\n                .contiguous();  // w1, w2, w3 of barycentric coordinates\n\n            size_t num_threads = 128;\n            dim3 num_blocks(num_points);\n            size_t shared_size =\n                num_threads *\n                ((points.dtype() == torch::kFloat32 ? sizeof(float) : sizeof(double)) +\n                 sizeof(size_t));\n\n            AT_DISPATCH_FLOATING_TYPES(\n                    points.scalar_type(), \"ComputeGeneralizedTetrahedronProjection\", [&] {\n                    GeneralizedTetrahedronProjectionKernel<dim, scalar_t>\n                    <<<num_blocks, num_threads, shared_size, stream>>>(\n                            points.contiguous().data_ptr<scalar_t>(), num_tets,\n                            v_list[0].contiguous().data_ptr<scalar_t>(),\n                            e_mat.contiguous().data_ptr<scalar_t>(),\n                            e_dot_mat.contiguous().data_ptr<scalar_t>(),\n                            e_dot_inv_mat.contiguous().data_ptr<scalar_t>(),\n                            is_degenerate.contiguous().data_ptr<scalar_t>(),\n                            result_dists.data_ptr<scalar_t>(), result_idxs.data_ptr<int>(),\n                            result_weights.data_ptr<scalar_t>());\n                    });\n\n            AT_CUDA_CHECK(cudaGetLastError());\n\n            return {result_dists, result_idxs.to(torch::kInt64), result_weights};\n        }\n\n    // Explicit instantiations.\n    template std::vector<torch::Tensor> ComputeGeneralizedTriangleProjection<3>(\n            torch::Tensor points, const TriangularProjectionInfo& info);\n    template std::vector<torch::Tensor> ComputeGeneralizedTriangleProjection<8>(\n            torch::Tensor points, const TriangularProjectionInfo& info);\n    template std::vector<torch::Tensor> ComputeGeneralizedTetrahedronProjection<3>(\n            torch::Tensor points, torch::Tensor vertices, torch::Tensor tets);\n\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/generalized_projection_info.cpp",
    "content": "#include \"generalized_projection_info.h\"\n\nnamespace geomlib {\nTriangularProjectionInfo::TriangularProjectionInfo(torch::Tensor vertices,\n                                                   torch::Tensor faces) {\n  using namespace torch::indexing;\n  dim = vertices.size(1);\n  num_faces = faces.size(0);\n  if (faces.dtype() == torch::kInt32) {\n    faces = faces.to(torch::kInt64);\n  }\n  v0 = vertices.index({faces.index({Slice(), 0})}).contiguous();  // |F|x3\n  e1 =\n      (vertices.index({faces.index({Slice(), 1})}) - v0).contiguous();  // |F|x3\n  e2 =\n      (vertices.index({faces.index({Slice(), 2})}) - v0).contiguous();  // |F|x3\n  e1_dot_e2 = (e1 * e2).sum(-1).contiguous();                           // |F|\n  e1_norm_sqr = (e1 * e1).sum(-1).contiguous();                         // |F|\n  e2_norm_sqr = (e2 * e2).sum(-1).contiguous();                         // |F|\n  grad_w1 =\n      ((e1_dot_e2 / e2_norm_sqr).unsqueeze(1) * (-e2) + e1) /\n      (e1_norm_sqr - e1_dot_e2.square() / e2_norm_sqr).unsqueeze(1);  // |F|x3\n  grad_w1 = grad_w1.contiguous();\n  grad_w2 =\n      ((e1_dot_e2 / e1_norm_sqr).unsqueeze(1) * (-e1) + e2) /\n      (e2_norm_sqr - e1_dot_e2.square() / e1_norm_sqr).unsqueeze(1);  // |F|x3\n  grad_w2 = grad_w2.contiguous();\n}\n\ntorch::Tensor TriangularProjectionInfo::GetPointsAtBarycentricCoordinates(\n    torch::Tensor face_ids, torch::Tensor w1, torch::Tensor w2) {\n  // Note: this function backpropagates.\n  assert(w1.size(0) == face_ids.size(0) && w2.size(0) == face_ids.size(0));\n  assert(face_ids.max().item<int>() < v0.size(0));\n\n  using namespace torch::indexing;\n  return v0.index({face_ids, Slice()}) +\n         w1.unsqueeze(1) * e1.index({face_ids, Slice()}) +\n         w2.unsqueeze(1) * e2.index({face_ids, Slice()});\n}\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/generalized_projection_info.h",
    "content": "#pragma once\n\n#include <torch/torch.h>\n\nnamespace geomlib {\nstruct TriangularProjectionInfo {\n  TriangularProjectionInfo(torch::Tensor vertices, torch::Tensor faces);\n  TriangularProjectionInfo() = delete;\n\n  torch::Tensor GetPointsAtBarycentricCoordinates(torch::Tensor face_ids,\n                                                  torch::Tensor w1,\n                                                  torch::Tensor w2);\n\n  int dim;\n  int num_faces;\n  torch::Tensor v0;           // |F|xD\n  torch::Tensor e1;           // |F|xD\n  torch::Tensor e2;           // |F|xD\n  torch::Tensor e1_dot_e2;    // |F|\n  torch::Tensor e1_norm_sqr;  // |F|\n  torch::Tensor e2_norm_sqr;  // |F|\n  torch::Tensor grad_w1;      // |F|xD\n  torch::Tensor grad_w2;      // |F|xD\n};\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/hausdorff_distance.cpp",
    "content": "#include \"hausdorff_distance.h\"\n\n#include \"TriangularMeshSampler.h\"\n#include \"generalized_projection.h\"\n\nnamespace geomlib {\nstd::tuple<float, float> ComputeHausdorffDistance(\n    torch::Tensor vertices0, torch::Tensor faces0, torch::Tensor vertices1,\n    torch::Tensor faces1, int batch_size, int repeat_times) {\n  assert(vertices0.is_cuda() && vertices1.is_cuda() && faces0.is_cuda() &&\n         faces1.is_cuda());\n  TriangularMeshSampler sampler0{vertices0, faces0};\n  TriangularMeshSampler sampler1{vertices1, faces1};\n\n  TriangularProjectionInfo info0{vertices0, faces0};\n  TriangularProjectionInfo info1{vertices1, faces1};\n\n  float result_max = 0;\n  float result_sum = 0;\n  for (int i = 0; i < repeat_times; i++) {\n    auto points0 = sampler0.Sample(batch_size);\n    auto points1 = sampler1.Sample(batch_size);\n    auto dist0 = ComputeGeneralizedTriangleProjection<3>(points0, info1)[0];\n    auto dist1 = ComputeGeneralizedTriangleProjection<3>(points1, info0)[0];\n    result_max = std::max(result_max, std::sqrt(dist0.max().item<float>()));\n    result_max = std::max(result_max, std::sqrt(dist1.max().item<float>()));\n    result_sum += dist0.sqrt().sum().item<float>();\n    result_sum += dist1.sqrt().sum().item<float>();\n  }\n  result_sum /= repeat_times * batch_size * 2;\n  return {result_max, result_sum};\n}\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/hausdorff_distance.h",
    "content": "#pragma once\n\n#include <torch/torch.h>\n\nnamespace geomlib {\n// Symmetric Hausdorff distance using Monte Carlo sampling.\nstd::tuple<float, float> ComputeHausdorffDistance(\n    torch::Tensor vertices0, torch::Tensor faces0, torch::Tensor vertices1,\n    torch::Tensor faces1, int batch_size, int repeat_times);\n}\n"
  },
  {
    "path": "geomlib/geomlib/io/ObjParser.cpp",
    "content": "#include \"ObjParser.h\"\n#include \"geomlib/logging.h\"\n\nnamespace geomlib {\nObjParser::ParsedData ObjParser::Parse(const std::string& file_path) {\n  std::fstream fs(file_path);\n  if (!fs) {\n    throw std::runtime_error(\n        fmt::format(\"ERROR: unable to open OBJ file {}!\", file_path));\n  }\n\n  ParsedData data;\n\n  std::vector<float> positions_flatten;\n  std::vector<float> normals_flatten;\n  std::vector<int> indices_flatten;\n  std::vector<float> tex_coords_flatten;\n\n  std::string line;\n  while (std::getline(fs, line)) {\n    std::stringstream ss(line);\n    std::string command;\n    ss >> command;\n    if (command[0] == '#' || command == \"\") {\n      continue;\n    } else if (command == \"v\") {\n      float x, y, z;\n      ss >> x >> y >> z;\n      positions_flatten.insert(positions_flatten.end(), {x, y, z});\n    } else if (command == \"vn\") {\n      float x, y, z;\n      ss >> x >> y >> z;\n      normals_flatten.insert(normals_flatten.end(), {x, y, z});\n    } else if (command == \"vt\") {\n      float u, v;\n      ss >> u >> v;\n      tex_coords_flatten.insert(tex_coords_flatten.end(), {u, v});\n    } else if (command == \"f\") {\n      for (int t = 0; t < 3; t++) {\n        std::string str;\n        ss >> str;\n        unsigned int idx;\n        if (str.find('/') == std::string::npos) {\n          idx = std::stoul(str);\n        } else {\n          idx = std::stoul(Split(str, '/')[0]);\n        }\n        // Minus 1 because OBJ indices start with 1.\n        indices_flatten.push_back(static_cast<int>(idx - 1));\n      }\n    } else if (command == \"g\") {\n      continue;  // skip groups\n    } else if (command == \"usemtl\" || command == \"mtllib\") {\n      continue;  // skip materials\n    } else if (command == \"o\" || command == \"s\") {\n      std::cout << \"Skipped command: \" << command << std::endl;\n    } else {\n      std::cerr << \"Unknown obj command: \" << command << std::endl;\n      continue;\n    }\n  }\n\n  // Put things into Eigen structures.\n  data.positions = std::make_unique<Eigen::MatrixXf>(\n      Eigen::Map<Eigen::Matrix<float, Eigen::Dynamic, Eigen::Dynamic,\n                               Eigen::RowMajor>>(\n          positions_flatten.data(), positions_flatten.size() / 3, 3));\n  data.normals = std::make_unique<Eigen::MatrixXf>(\n      Eigen::Map<Eigen::Matrix<float, Eigen::Dynamic, Eigen::Dynamic,\n                               Eigen::RowMajor>>(\n          normals_flatten.data(), normals_flatten.size() / 3, 3));\n  data.faces = std::make_unique<Eigen::MatrixXi>(\n      Eigen::Map<\n          Eigen::Matrix<int, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor>>(\n          indices_flatten.data(), indices_flatten.size() / 3, 3));\n  data.tex_coords = std::make_unique<Eigen::MatrixXf>(\n      Eigen::Map<Eigen::Matrix<float, Eigen::Dynamic, Eigen::Dynamic,\n                               Eigen::RowMajor>>(\n          tex_coords_flatten.data(), tex_coords_flatten.size() / 2, 2));\n\n  return data;\n}\n\nstd::unique_ptr<TriMesh> ObjParser::ParseToMesh(const std::string& file_path) {\n  auto parsed_data = ObjParser::Parse(file_path);\n  return std::make_unique<TriMesh>(*parsed_data.positions, *parsed_data.faces);\n}\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/io/ObjParser.h",
    "content": "#pragma once\n\n#include \"geomlib/TriMesh.h\"\n#include \"geomlib/common.h\"\n\nnamespace geomlib {\nclass ObjParser {\n public:\n  struct ParsedData {\n    std::unique_ptr<Eigen::MatrixXf> positions;\n    std::unique_ptr<Eigen::MatrixXf> normals;\n    std::unique_ptr<Eigen::MatrixXi> faces;\n    std::unique_ptr<Eigen::MatrixXf> tex_coords;\n  };\n\n  static ParsedData Parse(const std::string& file_path);\n  static std::unique_ptr<TriMesh> ParseToMesh(const std::string& file_path);\n};\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/io/TetMeshParser.cpp",
    "content": "#include \"TetMeshParser.h\"\n\n#include <filesystem>\n#include <stdexcept>\n\n#include \"geomlib/logging.h\"\n\nnamespace fs = std::filesystem;\n\nnamespace geomlib {\nstd::unique_ptr<TetMesh> TetMeshParser::Parse(const std::string& file_path) {\n  auto ext = fs::path(file_path).extension();\n  if (ext == \".mesh\") {\n    return ParseMeditToMesh(file_path);\n  } else if (ext == \".vtk\") {\n    return ParseVtkToMesh(file_path);\n  } else {\n    throw std::runtime_error(\n        fmt::format(\"Unknown tetrahedral mesh format: {}\", ext.string()));\n  }\n}\n\nstd::unique_ptr<TetMesh> TetMeshParser::ParseMeditToMesh(\n    const std::string& file_path) {\n  std::fstream fs(file_path);\n  if (!fs) {\n    throw std::runtime_error(\n        fmt::format(\"ERROR: unable to open MEDIT MESH file {}\", file_path));\n  }\n\n  Eigen::MatrixXf vertices;\n  Eigen::MatrixXi tets;\n\n  std::string line;\n  while (std::getline(fs, line))\n    if (!line.empty()) {\n      std::stringstream ss(line);\n      std::string command;\n      ss >> command;\n      if (command == \"MeshVersionFormatted\" || command == \"Dimension\" ||\n          command == \"End\") {\n        continue;\n      } else if (command == \"Vertices\") {\n        int n;\n        fs >> n;\n        vertices = Eigen::MatrixXf(n, 3);\n        for (int i = 0; i < n; i++) {\n          Vector3f p;\n          float tmp;\n          fs >> p.x() >> p.y() >> p.z() >> tmp;\n          vertices.row(i) = p;\n        }\n      } else if (command == \"Triangles\") {\n        // Skip.\n        int n;\n        fs >> n;\n        for (int i = 0; i < n; i++) {\n          int tmp;\n          fs >> tmp >> tmp >> tmp >> tmp;\n        }\n      } else if (command == \"Tetrahedra\") {\n        int n;\n        fs >> n;\n        tets = Eigen::MatrixXi(n, 4);\n        for (int i = 0; i < n; i++) {\n          Vector4i t;\n          int tmp;\n          for (int k = 0; k < 4; k++) {\n            fs >> t(k);\n            t(k)--;  // .mesh's index starts at 1\n          }\n          fs >> tmp;\n          tets.row(i) = t;\n        }\n      }\n    }\n  return std::make_unique<TetMesh>(vertices, tets);\n}\n\nstd::unique_ptr<TetMesh> TetMeshParser::ParseVtkToMesh(\n    const std::string& file_path) {\n  std::fstream fs(file_path);\n  if (!fs) {\n    throw std::runtime_error(\n        fmt::format(\"ERROR: unable to open VTK file {}\", file_path));\n  }\n\n  Eigen::MatrixXf vertices;\n  Eigen::MatrixXi tets;\n\n  std::string line;\n\n  // Skip file version and header lines.\n  std::getline(fs, line);\n  std::getline(fs, line);\n\n  fs >> line;\n  if (line != \"ASCII\") {\n    throw std::runtime_error(\"Cannot parse binary VTK format!\");\n  }\n\n  while (std::getline(fs, line))\n    if (!line.empty()) {\n      std::stringstream ss(line);\n      std::string command;\n      ss >> command;\n      if (command == \"DATASET\") {\n        ss >> command;\n        if (command != \"UNSTRUCTURED_GRID\") {\n          throw std::runtime_error(\n              \"Cannot parse non-unstructured-grid dataset!\");\n        }\n      } else if (command == \"POINTS\") {\n        int n;\n        ss >> n;\n        std::string type;\n        ss >> type;\n        if (type != \"float\" && type != \"double\") {\n          throw std::runtime_error(\"Cannot parse non-floating-point type!\");\n        }\n        vertices = Eigen::MatrixXf(n, 3);\n        for (int i = 0; i < n; i++) {\n          Vector3f p;\n          fs >> p.x() >> p.y() >> p.z();\n          vertices.row(i) = p;\n        }\n      } else if (command == \"CELLS\") {\n        int n, m;\n        ss >> n >> m;\n        if (m != 5 * n) {\n          throw std::runtime_error(\"CELLS must contain all tetrahedrons!\");\n        }\n\n        tets = Eigen::MatrixXi(n, 4);\n        for (int i = 0; i < n; i++) {\n          Vector4i t;\n          int tmp;\n          fs >> tmp;\n          for (int k = 0; k < 4; k++) {\n            fs >> t(k);  // index starts at 0\n          }\n          tets.row(i) = t;\n        }\n      } else if (command == \"CELL_TYPES\") {\n        int n;\n        ss >> n;\n        if (n != tets.rows()) {\n          throw std::runtime_error(\n              \"CELL_TYPES must be provided for each CELL!\");\n        }\n        for (int i = 0; i < n; i++) {\n          int tmp;\n          fs >> tmp;\n          if (tmp != 10) {\n            throw std::runtime_error(\"All CELL_TYPES must be 10 (tet)!\");\n          }\n        }\n      }\n    }\n  return std::make_unique<TetMesh>(vertices, tets);\n}\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/io/TetMeshParser.h",
    "content": "#pragma once\n\n#include \"geomlib/TetMesh.h\"\n\nnamespace geomlib {\nclass TetMeshParser {\n public:\n  static std::unique_ptr<TetMesh> Parse(const std::string& file_path);\n  static std::unique_ptr<TetMesh> ParseMeditToMesh(\n      const std::string& file_path);\n  static std::unique_ptr<TetMesh> ParseVtkToMesh(const std::string& file_path);\n\n private:\n};\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/logging.h",
    "content": "#pragma once\n\n#include <spdlog/fmt/fmt.h>\n#include <spdlog/spdlog.h>\n\n#define __FILENAME__ (static_cast<const char*>(__FILE__))\n#define LOGI(...) spdlog::info(__VA_ARGS__);\n#define LOGW(...) spdlog::warn(__VA_ARGS__);\n#define LOGE(...) \\\n  spdlog::error(\"[{}:{}] {}\", __FILENAME__, __LINE__, fmt::format(__VA_ARGS__));\n#define LOGD(...) spdlog::debug(__VA_ARGS__);\n"
  },
  {
    "path": "geomlib/geomlib/point_tet_mesh_test.h",
    "content": "#pragma once\n\n#include <torch/torch.h>\n\nnamespace geomlib {\n// Returned tensor contains 1 or -1 (type same as tets).\ntorch::Tensor PointTetMeshTest(torch::Tensor points, torch::Tensor vertices,\n                               torch::Tensor tets);\n}\n"
  },
  {
    "path": "geomlib/geomlib/point_tet_mesh_test_cuda.cu",
    "content": "#include \"point_tet_mesh_test.h\"\n\n#include <ATen/cuda/CUDAContext.h>\n#include <c10/cuda/CUDAGuard.h>\n\n#include \"common.cuh\"\n#include \"utils.cuh\"\n\nnamespace geomlib {\nnamespace {\ntemplate <typename scalar_t>\n__global__ void PointTetMeshTestKernel(const scalar_t* __restrict__ points,\n                                       const scalar_t* __restrict__ vertices,\n                                       const int* __restrict__ tets,\n                                       size_t num_tets,\n                                       int* __restrict__ result_signs) {\n  extern __shared__ char shared_buf[];\n  int* windings = (int*)shared_buf;\n\n  // Each block tests a single point.\n  const size_t i = blockIdx.x;\n  // Tets are divided evenly among the threads.\n  const size_t tid = threadIdx.x;\n\n  int winding = 0;\n  for (size_t j = tid; j < num_tets; j += blockDim.x) {\n    auto p = &points[i * 3];\n    auto v0 = &vertices[3 * tets[4 * j]];\n    auto v1 = &vertices[3 * tets[4 * j + 1]];\n    auto v2 = &vertices[3 * tets[4 * j + 2]];\n    auto v3 = &vertices[3 * tets[4 * j + 3]];\n    if (IsPointInTetrahedron<scalar_t>(\n            MakeVec3<scalar_t>::FromRaw(p), MakeVec3<scalar_t>::FromRaw(v0),\n            MakeVec3<scalar_t>::FromRaw(v1), MakeVec3<scalar_t>::FromRaw(v2),\n            MakeVec3<scalar_t>::FromRaw(v3))) {\n      winding += 1;\n    }\n  }\n  windings[tid] = winding;\n  __syncthreads();\n\n  // Reduction.\n  for (size_t s = blockDim.x / 2; s > 32; s >>= 1) {\n    if (tid < s) {\n      windings[tid] += windings[tid + s];\n    }\n    __syncthreads();\n  }\n\n  if (tid < 32) {\n    WarpReduceSum<int>(windings, tid);\n  }\n\n  if (tid == 0) {\n    int sgn = windings[0] > 0 ? -1 : 1;\n    result_signs[i] = sgn;\n  }\n}\n}  // namespace\n\ntorch::Tensor PointTetMeshTest(torch::Tensor points, torch::Tensor vertices,\n                               torch::Tensor tets) {\n  CHECK_INPUT(points);\n  CHECK_INPUT(vertices);\n  CHECK_INPUT(tets);\n\n  TORCH_CHECK(points.size(1) == 3);\n  TORCH_CHECK(vertices.size(1) == 3);\n  TORCH_CHECK(tets.size(1) == 4);\n  TORCH_CHECK(points.dtype() == torch::kFloat32 ||\n              points.dtype() == torch::kFloat64);\n  TORCH_CHECK(tets.dtype() == torch::kInt32);\n  TORCH_CHECK(points.dtype() == vertices.dtype());\n\n  at::cuda::CUDAGuard device_guard{points.device()};\n  cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n\n  size_t num_points = points.size(0);\n  size_t num_tets = tets.size(0);\n  torch::Tensor result_signs =\n      torch::zeros({static_cast<int>(num_points)}, tets.options()).contiguous();\n\n  size_t num_threads = 128;\n  dim3 num_blocks(num_points);\n  size_t shared_size = num_threads * sizeof(int);\n  AT_DISPATCH_FLOATING_TYPES(points.scalar_type(), \"PointTetMeshTest\", [&] {\n    PointTetMeshTestKernel<scalar_t>\n        <<<num_blocks, num_threads, shared_size, stream>>>(\n            points.contiguous().data_ptr<scalar_t>(),\n            vertices.contiguous().data_ptr<scalar_t>(),\n            tets.contiguous().data_ptr<int>(), num_tets,\n            result_signs.data_ptr<int>());\n  });\n\n  AT_CUDA_CHECK(cudaGetLastError());\n\n  return result_signs;\n}\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/ray_triangle_intersection.cpp",
    "content": "#include \"ray_triangle_intersection.h\"\n\nnamespace geomlib {\nnamespace {\nconst float kEps = 1e-8f;\n}\n\n// https://en.wikipedia.org/wiki/M%C3%B6ller%E2%80%93Trumbore_intersection_algorithm\nbool RayTriangleIntersection(const Vector3f& ray_origin,\n                             const Vector3f& ray_dir, const Vector3f& v0,\n                             const Vector3f& v1, const Vector3f& v2,\n                             float* result_t) {\n  Vector3f e1 = v1 - v0;\n  Vector3f e2 = v2 - v0;\n  Vector3f h = ray_dir.cross(e2);\n  float a = e1.dot(h);\n  if (std::abs(a) < kEps) {\n    return false;\n  }\n\n  float f = 1.0f / a;\n  Vector3f s = ray_origin - v0;\n  float u = f * s.dot(h);\n\n  if (u < 0 || u > 1) {\n    return false;\n  }\n\n  Vector3f q = s.cross(e1);\n  float v = f * ray_dir.dot(q);\n  if (v < 0 || u + v > 1.0) {\n    return false;\n  }\n\n  float t = f * e2.dot(q);\n  if (t > kEps) {\n    if (result_t != nullptr) {\n      *result_t = t;\n    }\n    return true;\n  } else {\n    return false;\n  }\n}\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/ray_triangle_intersection.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\nnamespace geomlib {\nbool RayTriangleIntersection(const Vector3f& ray_origin,\n                             const Vector3f& ray_dir, const Vector3f& v0,\n                             const Vector3f& v1, const Vector3f& v2,\n                             float* result_t = nullptr);\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/utils.cuh",
    "content": "#pragma once\n\n#include <float.h>\n#include <math.h>\n#include <thrust/tuple.h>\n\n#include <cstdio>\n\nnamespace geomlib {\nconst auto kEpsilon = 1e-12;\n\ntemplate <typename T>\nstruct MakeVec3;\n\ntemplate <>\nstruct MakeVec3<float> {\n  typedef float3 type;\n  static __device__ float3 Create(float x, float y, float z) {\n    return make_float3(x, y, z);\n  }\n  static __device__ float3 FromRaw(const float* arr) {\n    return make_float3(arr[0], arr[1], arr[2]);\n  }\n};\n\ntemplate <>\nstruct MakeVec3<double> {\n  typedef double3 type;\n  static __device__ double3 Create(double x, double y, double z) {\n    return make_double3(x, y, z);\n  }\n  static __device__ double3 FromRaw(const double* arr) {\n    return make_double3(arr[0], arr[1], arr[2]);\n  }\n};\n\ntemplate <typename scalar_t, typename idx_t>\n__device__ void WarpReduceMin(volatile scalar_t* min_vals,\n                              volatile idx_t* min_idxs, size_t tid) {\n  // s = 32\n  if (min_vals[tid] > min_vals[tid + 32]) {\n    min_idxs[tid] = min_idxs[tid + 32];\n    min_vals[tid] = min_vals[tid + 32];\n  }\n  // s = 16\n  if (min_vals[tid] > min_vals[tid + 16]) {\n    min_idxs[tid] = min_idxs[tid + 16];\n    min_vals[tid] = min_vals[tid + 16];\n  }\n  // s = 8\n  if (min_vals[tid] > min_vals[tid + 8]) {\n    min_idxs[tid] = min_idxs[tid + 8];\n    min_vals[tid] = min_vals[tid + 8];\n  }\n  // s = 4\n  if (min_vals[tid] > min_vals[tid + 4]) {\n    min_idxs[tid] = min_idxs[tid + 4];\n    min_vals[tid] = min_vals[tid + 4];\n  }\n  // s = 2\n  if (min_vals[tid] > min_vals[tid + 2]) {\n    min_idxs[tid] = min_idxs[tid + 2];\n    min_vals[tid] = min_vals[tid + 2];\n  }\n  // s = 1\n  if (min_vals[tid] > min_vals[tid + 1]) {\n    min_idxs[tid] = min_idxs[tid + 1];\n    min_vals[tid] = min_vals[tid + 1];\n  }\n}\n\ntemplate <typename scalar_t, typename idx_t>\n__device__ inline void ReduceMin(scalar_t* min_vals, idx_t* min_tids,\n                                 idx_t tid) {\n  // Reduction over shared memory, only carrying along min_tids.\n  for (idx_t s = blockDim.x / 2; s > 32; s >>= 1) {\n    if (tid < s) {\n      if (min_vals[tid] > min_vals[tid + s]) {\n        min_vals[tid] = min_vals[tid + s];\n        min_tids[tid] = min_tids[tid + s];\n      }\n    }\n    __syncthreads();\n  }\n\n  // Unroll the last 6 iterations of the loop since they will happen\n  // to be in a single warp - no synchronization is needed.\n  if (tid < 32) {\n    WarpReduceMin(min_vals, min_tids, tid);\n  }\n  __syncthreads();\n}\n\ntemplate <typename scalar_t>\n__device__ void WarpReduceSum(volatile scalar_t* vals, size_t tid) {\n  vals[tid] += vals[tid + 32];\n  vals[tid] += vals[tid + 16];\n  vals[tid] += vals[tid + 8];\n  vals[tid] += vals[tid + 4];\n  vals[tid] += vals[tid + 2];\n  vals[tid] += vals[tid + 1];\n}\n\ntemplate <typename scalar_t>\n__device__ inline int sign(scalar_t x) {\n  int t = x < 0 ? -1 : 0;\n  return x > 0 ? 1 : t;\n}\n\ntemplate <typename scalar_t>\n__device__ inline scalar_t clamp01(scalar_t x) {\n  return x < 0 ? 0 : (x > 1 ? 1 : x);\n}\n\ntemplate <typename scalar_t>\n__device__ inline typename MakeVec3<scalar_t>::type operator-(\n    const typename MakeVec3<scalar_t>::type& a,\n    const typename MakeVec3<scalar_t>::type& b) {\n  return MakeVec3<scalar_t>::Create(a.x - b.x, a.y - b.y, a.z - b.z);\n}\n\ntemplate <typename scalar_t>\n__device__ inline typename MakeVec3<scalar_t>::type operator+(\n    const typename MakeVec3<scalar_t>::type& a,\n    const typename MakeVec3<scalar_t>::type& b) {\n  return MakeVec3<scalar_t>::Create(a.x + b.x, a.y + b.y, a.z + b.z);\n}\n\ntemplate <typename scalar_t>\n__device__ inline typename MakeVec3<scalar_t>::type operator*(\n    const typename MakeVec3<scalar_t>::type& a,\n    const typename MakeVec3<scalar_t>::type& b) {\n  return MakeVec3<scalar_t>::Create(a.x * b.x, a.y * b.y, a.z * b.z);\n}\n\ntemplate <typename scalar_t>\n__device__ inline typename MakeVec3<scalar_t>::type operator*(\n    scalar_t a, const typename MakeVec3<scalar_t>::type& b) {\n  return MakeVec3<scalar_t>::Create(a * b.x, a * b.y, a * b.z);\n}\n\ntemplate <typename scalar_t>\n__device__ inline typename MakeVec3<scalar_t>::type operator/(\n    const typename MakeVec3<scalar_t>::type& a,\n    const typename MakeVec3<scalar_t>::type& b) {\n  return MakeVec3<scalar_t>::Create(a.x / b.x, a.y / b.y, a.z / b.z);\n}\n\ntemplate <typename scalar_t>\n__device__ inline typename MakeVec3<scalar_t>::type operator/(\n    const typename MakeVec3<scalar_t>::type& a, scalar_t b) {\n  return MakeVec3<scalar_t>::Create(a.x / b, a.y / b, a.z / b);\n}\n\ntemplate <typename scalar_t>\n__device__ inline scalar_t dot(const typename MakeVec3<scalar_t>::type& a,\n                               const typename MakeVec3<scalar_t>::type& b) {\n  return a.x * b.x + a.y * b.y + a.z * b.z;\n}\n\ntemplate <typename scalar_t>\n__device__ inline scalar_t distance_sqr(\n    const typename MakeVec3<scalar_t>::type& a,\n    const typename MakeVec3<scalar_t>::type& b) {\n  return dot(a - b, a - b);\n}\n\ntemplate <typename scalar_t>\n__device__ inline typename MakeVec3<scalar_t>::type cross(\n    const typename MakeVec3<scalar_t>::type& a,\n    const typename MakeVec3<scalar_t>::type& b) {\n  return MakeVec3<scalar_t>::Create(\n      a.y * b.z - a.z * b.y, a.z * b.x - a.x * b.z, a.x * b.y - a.y * b.x);\n}\n\ntemplate <typename scalar_t>\n__device__ inline scalar_t norm(const typename MakeVec3<scalar_t>::type& a) {\n  return sqrt(dot(a, a));\n}\n\ntemplate <typename scalar_t>\n__device__ inline typename MakeVec3<scalar_t>::type normalize(\n    const typename MakeVec3<scalar_t>::type& a) {\n  return a / (norm(a) + static_cast<scalar_t>(kEpsilon));\n}\n\ntemplate <typename scalar_t>\n__device__ inline bool IsOnSameSideOfPlane(\n    const typename MakeVec3<scalar_t>::type& v0,\n    const typename MakeVec3<scalar_t>::type& v1,\n    const typename MakeVec3<scalar_t>::type& v2,\n    const typename MakeVec3<scalar_t>::type& p,\n    const typename MakeVec3<scalar_t>::type& q) {\n  auto n =\n      cross<scalar_t>(operator-<scalar_t>(v1, v0), operator-<scalar_t>(v2, v0));\n  return sign(dot<scalar_t>(n, operator-<scalar_t>(p, v0))) ==\n         sign(dot<scalar_t>(n, operator-<scalar_t>(q, v0)));\n}\n\ntemplate <typename scalar_t>\n__device__ inline bool IsPointInTetrahedron(\n    const typename MakeVec3<scalar_t>::type& p,\n    const typename MakeVec3<scalar_t>::type& v0,\n    const typename MakeVec3<scalar_t>::type& v1,\n    const typename MakeVec3<scalar_t>::type& v2,\n    const typename MakeVec3<scalar_t>::type& v3) {\n  return IsOnSameSideOfPlane<scalar_t>(v0, v1, v2, p, v3) &&\n         IsOnSameSideOfPlane<scalar_t>(v1, v2, v3, p, v0) &&\n         IsOnSameSideOfPlane<scalar_t>(v2, v3, v0, p, v1) &&\n         IsOnSameSideOfPlane<scalar_t>(v3, v0, v1, p, v2);\n}\n}  // namespace geomlib\n"
  },
  {
    "path": "geomlib/geomlib/vec_utils.cuh",
    "content": "#pragma once\n\ntemplate <int dim, typename scalar_t>\n__device__ inline void zero_out_vec(scalar_t* x) {\n  for (int i = 0; i < dim; i++) {\n    x[i] = 0;\n  }\n}\n\ntemplate <int dim, typename scalar_t>\n__device__ inline void copy_vec(scalar_t* dest, const scalar_t* src) {\n  for (int i = 0; i < dim; i++) {\n    dest[i] = src[i];\n  }\n}\n\ntemplate <int dim, typename scalar_t>\n__device__ inline scalar_t dot_vec(const scalar_t* a, const scalar_t* b) {\n  scalar_t result = 0;\n  for (int i = 0; i < dim; i++) {\n    result += a[i] * b[i];\n  }\n  return result;\n}\n\ntemplate <int dim, typename scalar_t>\n__device__ inline void plus_vec(const scalar_t* a, const scalar_t* b,\n                                scalar_t* result) {\n  for (int i = 0; i < dim; i++) {\n    result[i] = a[i] + b[i];\n  }\n}\n\ntemplate <int dim, typename scalar_t>\n__device__ inline void add_vec(scalar_t* a, const scalar_t* b) {\n  for (int i = 0; i < dim; i++) {\n    a[i] += b[i];\n  }\n}\n\ntemplate <int dim, typename scalar_t>\n__device__ inline void scalar_times_vec(scalar_t a, const scalar_t* b,\n                                        scalar_t* result) {\n  for (int i = 0; i < dim; i++) {\n    result[i] = a * b[i];\n  }\n}\n\ntemplate <int dim, typename scalar_t>\n__device__ inline void minus_vec(const scalar_t* a, const scalar_t* b,\n                                 scalar_t* result) {\n  for (int i = 0; i < dim; i++) {\n    result[i] = a[i] - b[i];\n  }\n}\n\ntemplate <int dim, typename scalar_t>\n__device__ inline void mat_vec_mult(const scalar_t* A, const scalar_t* b,\n                                    scalar_t* result) {\n  for (int i = 0; i < dim; i++) {\n    result[i] = 0;\n    for (int j = 0; j < dim; j++) {\n      result[i] += A[i * dim + j] * b[j];\n    }\n  }\n}\ntemplate <int dim, typename scalar_t>\n__device__ inline scalar_t distance_sqr_vec(const scalar_t* a,\n                                            const scalar_t* b) {\n  scalar_t d[dim];\n  minus_vec<dim>(a, b, d);\n  return dot_vec<dim>(d, d);\n}\n"
  },
  {
    "path": "geomlib/test/CMakeLists.txt",
    "content": "add_executable(test main.cpp)\n\ntarget_compile_options(test PRIVATE ${cxx_warning_flags})\ntarget_link_libraries(test geomlib spdlog)\n"
  },
  {
    "path": "geomlib/test/main.cpp",
    "content": "#include <geomlib/autograd/GeneralizedProjection.h>\n\n#include <iostream>\n\nvoid test_generalized_triangle_projection() {\n  /*\n  float points_data[] = {0.10798142, 0.09435397, 0.8972397};\n  float vertices_data[] = {-0.14192927,  -0.4436557, 0.19722219,\n                           -0.099712044, -0.4427007, 0.154986,\n                           -0.11019023,  -0.4492986, 0.21198432};\n  int64_t faces_data[] = {0, 1, 2};\n\n  auto points =\n      torch::from_blob(points_data, {1, 3}, torch::kFloat32).clone().cuda();\n  auto vertices =\n      torch::from_blob(vertices_data, {3, 3}, torch::kFloat32).clone().cuda();\n  auto faces =\n      torch::from_blob(faces_data, {1, 3}, torch::kInt64).clone().cuda();\n\n  using namespace torch::indexing;\n  auto v0 = vertices.index({faces.index({Slice(), 0})});\n  auto e1 = vertices.index({faces.index({Slice(), 1})}) - v0;\n  auto e2 = vertices.index({faces.index({Slice(), 2})}) - v0;\n  auto e1_dot_e2 = (e1 * e2).sum(-1);    // |F|\n  auto e1_norm_sqr = (e1 * e1).sum(-1);  // |F|\n  auto e2_norm_sqr = (e2 * e2).sum(-1);  // |F|\n\n  std::cout << \"e1: \" << e1 << std::endl;\n  std::cout << \"e1_dot_e2: \" << e1_dot_e2 << std::endl;\n\n  auto grad_w1 =\n      ((e1_dot_e2 / e2_norm_sqr).unsqueeze(1) * (-e2) + e1) /\n      (e1_norm_sqr - e1_dot_e2.square() / e2_norm_sqr).unsqueeze(1);  // |F|x3\n  auto grad_w2 =\n      ((e1_dot_e2 / e1_norm_sqr).unsqueeze(1) * (-e1) + e2) /\n      (e2_norm_sqr - e1_dot_e2.square() / e1_norm_sqr).unsqueeze(1);  // |F|x3\n  std::cout << \"grad_w1: \" << grad_w1 << std::endl;\n  std::cout << \"grad_w2: \" << grad_w2 << std::endl;\n\n  points.requires_grad_();\n  auto result =\n      geomlib::GeneralizedTriangleProjection<3>::apply(points, vertices, faces);\n\n  auto result_dists = result[0];\n  auto result_idxs = result[1];\n  auto result_w0 = result[2];\n  auto result_w1 = result[3];\n  auto result_w2 = result[4];\n\n  std::cout << \"dists: \" << result_dists << std::endl;\n  std::cout << \"idxs: \" << result_idxs << std::endl;\n  std::cout << \"w0: \" << result_w0 << std::endl;\n  std::cout << \"w1: \" << result_w1 << std::endl;\n  std::cout << \"w2: \" << result_w2 << std::endl;\n\n  // result_dists.sum().backward();\n\n  // std::cout << \"derivative of result_dists: \" << points.grad() << std::endl;\n  */\n}\n\nvoid test_generalized_tetrahedron_projection() {\n  /* float points_data[] = {1.5, 0.6, 0.0}; */\n  /* float vertices_data[] = {1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0}; */\n  float points_data[] = {0, 0, 1};\n  float vertices_data[] = {0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0};\n  int64_t tets_data[] = {0, 1, 2, 3};\n\n  auto points =\n      torch::from_blob(points_data, {1, 3}, torch::kFloat32).clone().cuda();\n  auto vertices =\n      torch::from_blob(vertices_data, {4, 3}, torch::kFloat32).clone().cuda();\n  auto tets = torch::from_blob(tets_data, {1, 4}, torch::kInt64).clone().cuda();\n  auto result = geomlib::GeneralizedTetrahedronProjection<3>::apply(\n      points, vertices, tets);\n  auto result_dists = result[0];\n  auto result_idxs = result[1];\n  auto result_weights = result[2];\n  std::cout << \"output dists: \" << result_dists << std::endl;\n  std::cout << \"output idxs: \" << result_idxs << std::endl;\n  std::cout << \"output weights: \" << result_weights << std::endl;\n}\n\nvoid test_matmul() {\n  float M1_data[] = {0.1006,  0.1433,  0.1490,  0.2601,  0.0913,  0.1482,\n                     0.1157,  0.3593,  0.2491,  0.2436,  0.0140,  0.0665,\n                     0.2882,  0.3012,  0.4259,  0.3674,  0.6799,  -0.6787,\n                     -0.6441, -0.6262, -0.6778, -0.6801, -0.8964, -0.7123};\n  float M2_data[] = {0, 0,   0, 0, 0, 0, 0,   0,  -20, 0,  0, 0,\n                     0, -20, 0, 0, 0, 0, -20, 20, 20,  20, 0, 0};\n  auto M1 = torch::from_blob(M1_data, {3, 8}, torch::kFloat32).clone().cuda();\n  auto M2 = torch::from_blob(M2_data, {8, 3}, torch::kFloat32).clone().cuda();\n  auto J_matmul = torch::matmul(M1, M2);\n  std::cout << \"J_matmul: \\n\" << J_matmul << std::endl;\n  auto J_mm = torch::mm(M1, M2);\n  std::cout << \"J_mm: \\n\" << J_mm << std::endl;\n  std::cout << \"J_mm_cpu:\"\n            << torch::matmul(M1.detach().cpu(), M2.detach().cpu());\n}\n\nint main() {\n  // test_generalized_triangle_projection();\n  test_generalized_tetrahedron_projection();\n  /* test_matmul(); */\n}\n"
  },
  {
    "path": "hex/CMakeLists.txt",
    "content": "# hdf5\nfind_package(HDF5 COMPONENTS CXX REQUIRED)\n\nfile(GLOB hex_srcs\n        ${CMAKE_CURRENT_SOURCE_DIR}/src/*.cpp\n        ${CMAKE_CURRENT_SOURCE_DIR}/src/models/*.cpp\n        ${CMAKE_CURRENT_SOURCE_DIR}/src/optim/*.cpp\n        ${CMAKE_CURRENT_SOURCE_DIR}/src/views/*.cpp\n        ${CMAKE_CURRENT_SOURCE_DIR}/src/controllers/*.cpp\n        ${CMAKE_CURRENT_SOURCE_DIR}/src/controllers/stages/*.cpp\n        ${CMAKE_CURRENT_SOURCE_DIR}/src/serialization/*.cpp\n        ${CMAKE_CURRENT_SOURCE_DIR}/src/utility/*.cpp)\n\nadd_executable(hex ${hex_srcs})\ntarget_compile_options(hex PRIVATE ${cxx_warning_flags})\nset_target_properties(hex PROPERTIES RUNTIME_OUTPUT_DIRECTORY \"${PROJECT_SOURCE_DIR}/bin/$<CONFIG>\")\n\n# For some reason linking with HDF5 will automatically add D_FORTIFY_SOURCE=2 which may cause warnings in Debug mode.\ntarget_link_libraries(hex vkoo ${TORCH_LIBRARIES} eigen geomlib OpenMP::OpenMP_CXX yaml-cpp::yaml-cpp HDF5::HDF5)\ntarget_include_directories(hex PRIVATE ${CMAKE_CURRENT_SOURCE_DIR}/src)\ntarget_compile_definitions(hex PRIVATE IMPORT_PATH=\"${PROJECT_SOURCE_DIR}/assets\")\n\n\nif (MSVC)\n  file(GLOB TORCH_DLLS \"${TORCH_INSTALL_PREFIX}/lib/*.dll\")\n  add_custom_command(TARGET hex\n                     POST_BUILD\n                     COMMAND ${CMAKE_COMMAND} -E copy_if_different\n                     ${TORCH_DLLS}\n                     $<TARGET_FILE_DIR:hex>)\nendif (MSVC)\n"
  },
  {
    "path": "hex/src/HexMeshingApp.cpp",
    "content": "#include \"HexMeshingApp.h\"\n\n// FIXME: put stb implementation somewhere else.\n#define STB_IMAGE_WRITE_IMPLEMENTATION\n#include <stb_image_write.h>\n#include <vkoo/ObjParser.h>\n#include <vkoo/core/DeferredLightingSubpass.h>\n#include <vkoo/core/ForwardSubpass.h>\n#include <vkoo/core/Gui.h>\n#include <vkoo/core/InputEvent.h>\n#include <vkoo/core/PostprocessingSubpass.h>\n#include <vkoo/core/SSAOBlurSubpass.h>\n#include <vkoo/core/SSAOSubpass.h>\n#include <vkoo/core/VertexObject.h>\n#include <vkoo/st/components/Light.h>\n#include <vkoo/st/scripts/ArcBallCameraScript.h>\n#include <vkoo/utils.h>\n\n#include <chrono>\n\n#include \"logging.h\"\n#include \"models/HexConvention.h\"\n#include \"utility/PathManager.h\"\n\nnamespace hex {\nHexMeshingApp::HexMeshingApp(bool enable_validation_layer)\n    : Application(enable_validation_layer),\n      settings_{PathManager::GetWorkspacePath() / \"config.yml\", 60} {\n  torch::manual_seed(42);\n  starter_width_ = settings_.window_width;\n  starter_height_ = settings_.window_height;\n}\n\nHexMeshingApp::~HexMeshingApp() {\n  // device_->WaitIdle();\n}\n\nvoid HexMeshingApp::Prepare() {\n  Application::Prepare();\n\n  // Initialize HexConvention early to prevent race conditions caused by lazy\n  // intialization.\n  HexConvention::Initialize();\n\n  CreateSampler();  // this also creates sampler\n  SetupScene();\n  SetupRenderPipelines();  // this should happen after samplers are created\n  gui_ = std::make_unique<vkoo::Gui>(*this, 20.0f);\n}\n\nvoid HexMeshingApp::MainLoop() {\n  using Clock = std::chrono::high_resolution_clock;\n  using TimePoint =\n      std::chrono::time_point<Clock, std::chrono::duration<double>>;\n  TimePoint last_tick_time = Clock::now();\n  while (!glfwWindowShouldClose(window_)) {\n    glfwPollEvents();\n    TimePoint current_tick_time = Clock::now();\n\n    if (settings_.fps_limit > 0) {\n      if ((current_tick_time - last_tick_time).count() <\n          1.0 / settings_.fps_limit) {\n        std::this_thread::sleep_until(last_tick_time +\n                                      std::chrono::milliseconds((int)std::round(\n                                          1000.0 / settings_.fps_limit)));\n        current_tick_time = Clock::now();\n      }\n    }\n    double delta_time = (current_tick_time - last_tick_time).count();\n    last_tick_time = current_tick_time;\n\n    Update(delta_time);\n    settings_.TrySave();\n  }\n\n  settings_.Save();\n}\n\nSettings& HexMeshingApp::GetSettings() { return settings_; }\n\nvoid HexMeshingApp::ReloadSettings(const std::string& filename) {\n  settings_.Load(filename);\n  ChangeWindowSize(settings_.window_width, settings_.window_height);\n  UpdateCameraAndLighting();\n}\n\nvoid HexMeshingApp::SaveSettings(const std::string& filename) {\n  settings_.Save(filename);\n}\n\nvoid HexMeshingApp::SetupScene() {\n  auto root = std::make_unique<vkoo::st::Node>();\n  auto camera_node = std::make_unique<vkoo::st::Node>();\n\n  // Create camera. The view matrix will be governed by arc ball camera script.\n  auto& camera = camera_node->CreateComponent<vkoo::st::Camera>(\n      45.0f, GetWindowAspectRatio(), 0.1f, 100.f);\n\n  root->AddChild(std::move(camera_node));\n  // Scene must be initialized before controller due to internal dependency.\n  scene_ = std::make_unique<vkoo::st::Scene>(std::move(root));\n  scene_->SetActiveCameraPtr(&camera);\n\n  RecreateLights();\n\n  uint32_t window_width;\n  uint32_t window_height;\n  GetWindowSize(window_width, window_height);\n  global_controller_ =\n      std::make_unique<GlobalController>(*this, window_width, window_height);\n}\n\nvoid HexMeshingApp::RecreateLights() {\n  // Remove existing lights.\n  auto lights = scene_->GetRoot().GetComponentsRecursive<vkoo::st::Light>();\n  for (auto light : lights) {\n    light->GetNode()->RemoveFromParent();\n  }\n  // Add in lights.\n  for (auto& spec : settings_.lights) {\n    auto light_node = std::make_unique<vkoo::st::Node>();\n    auto& light_comp = light_node->CreateComponent<vkoo::st::Light>();\n    light_comp.SetType(spec.type);\n    light_comp.SetProperties(spec.properties);\n    scene_->GetRoot().AddChild(std::move(light_node));\n  }\n}\n\nvoid HexMeshingApp::UpdateCameraAndLighting() {\n  global_controller_->InitArcBallCamera();\n  RecreateLights();\n}\n\nvoid HexMeshingApp::CreateSampler() {\n  VkSamplerCreateInfo sampler_info{};\n  sampler_info.sType = VK_STRUCTURE_TYPE_SAMPLER_CREATE_INFO;\n  sampler_info.magFilter = VK_FILTER_LINEAR;\n  sampler_info.minFilter = VK_FILTER_LINEAR;\n  sampler_info.addressModeU = VK_SAMPLER_ADDRESS_MODE_REPEAT;\n  sampler_info.addressModeV = VK_SAMPLER_ADDRESS_MODE_REPEAT;\n  sampler_info.addressModeW = VK_SAMPLER_ADDRESS_MODE_REPEAT;\n  sampler_info.anisotropyEnable = VK_TRUE;\n  sampler_info.maxAnisotropy =\n      device_->GetGPU().GetProperties().limits.maxSamplerAnisotropy;\n  sampler_info.borderColor = VK_BORDER_COLOR_INT_OPAQUE_BLACK;\n  sampler_info.unnormalizedCoordinates = VK_FALSE;\n  sampler_info.compareEnable = VK_FALSE;\n  sampler_info.compareOp = VK_COMPARE_OP_ALWAYS;\n  sampler_info.mipmapMode = VK_SAMPLER_MIPMAP_MODE_LINEAR;\n\n  sampler_ = std::make_unique<vkoo::core::Sampler>(*device_, sampler_info);\n}\n\nbool HexMeshingApp::IsMSAAEnabled() const {\n  return settings_.msaa_on && sample_count_ != VK_SAMPLE_COUNT_1_BIT;\n}\n\nvoid HexMeshingApp::SetupGBufferPipeline() {\n  auto gbuffer_shader_program = vkoo::st::ShaderProgram{\n      {vkoo::GetShaderPath() + \"/deferred_geometry.vert\", \"main\"},\n      {vkoo::GetShaderPath() + \"/deferred_geometry.frag\", \"main\"}};\n  auto gbuffer_subpass = std::make_unique<vkoo::GeometrySubpass>(\n      *render_context_, gbuffer_shader_program, *scene_,\n      vkoo::TransparencyMode::SolidOnly);\n\n  std::vector<VkClearValue> clear_value;\n  if (IsMSAAEnabled()) {\n    pipeline_infos.gbuffer_generation.attachment_ids = {\n        attachment_dict.depth_ms,  attachment_dict.depth_resolved,\n        attachment_dict.albedo_ms, attachment_dict.albedo_resolved,\n        attachment_dict.normal_ms, attachment_dict.normal_resolved};\n    gbuffer_subpass->SetOutputAttachments({2, 4});\n    gbuffer_subpass->SetColorResolveAttachments({3, 5});\n    gbuffer_subpass->SetDepthStencilResolveAttachment(1);\n    gbuffer_subpass->SetDepthStencilResolveMode(depth_resolve_mode_);\n    gbuffer_subpass->SetSampleCount(sample_count_);\n    clear_value = std::vector<VkClearValue>(6);\n    clear_value[0].depthStencil = {1.0f, ~0U};\n    clear_value[1].depthStencil = {1.0f, ~0U};\n    clear_value[2].color = background_clear_color_;\n    clear_value[3].color = background_clear_color_;\n    clear_value[4].color = {{0.0f, 0.0f, 0.0f, 1.0f}};\n    clear_value[5].color = {{0.0f, 0.0f, 0.0f, 1.0f}};\n  } else {\n    pipeline_infos.gbuffer_generation.attachment_ids = {\n        attachment_dict.depth_resolved, attachment_dict.albedo_resolved,\n        attachment_dict.normal_resolved};\n    gbuffer_subpass->SetOutputAttachments({1, 2});\n    clear_value = std::vector<VkClearValue>(3);\n    clear_value[0].depthStencil = {1.0f, ~0U};\n    clear_value[1].color = background_clear_color_;\n    clear_value[2].color = {{0.0f, 0.0f, 0.0f, 1.0f}};\n  }\n\n  gbuffer_subpass->SetDisableDepthStencilAttachment(false);\n\n  auto gbuffer_pipeline = std::make_unique<vkoo::RenderPipeline>();\n  gbuffer_pipeline->AddSubpass(std::move(gbuffer_subpass));\n\n  gbuffer_pipeline->SetClearValue(clear_value);\n\n  pipeline_infos.gbuffer_generation.pipeline = std::move(gbuffer_pipeline);\n\n  std::vector<AttachmentInfo> attachment_infos;\n\n  if (IsMSAAEnabled()) {\n    attachment_infos = std::vector<AttachmentInfo>{6};\n    for (size_t i = 0; i < attachment_infos.size(); i++) {\n      auto& info = attachment_infos[i];\n      if (i == 0 || i == 2 || i == 4) {\n        info.load_op = VK_ATTACHMENT_LOAD_OP_CLEAR;\n        info.store_op = VK_ATTACHMENT_STORE_OP_DONT_CARE;\n        info.final_layout =\n            i == 0 ? VK_IMAGE_LAYOUT_DEPTH_STENCIL_READ_ONLY_OPTIMAL\n                   : VK_IMAGE_LAYOUT_COLOR_ATTACHMENT_OPTIMAL;\n      } else {\n        info.load_op = VK_ATTACHMENT_LOAD_OP_DONT_CARE;\n        info.store_op = VK_ATTACHMENT_STORE_OP_STORE;\n        info.final_layout =\n            i == 1 ? VK_IMAGE_LAYOUT_DEPTH_STENCIL_READ_ONLY_OPTIMAL\n                   : VK_IMAGE_LAYOUT_SHADER_READ_ONLY_OPTIMAL;\n      }\n      info.initial_layout = VK_IMAGE_LAYOUT_UNDEFINED;\n    }\n  } else {\n    attachment_infos = std::vector<AttachmentInfo>{3};\n    for (size_t i = 0; i < attachment_infos.size(); i++) {\n      attachment_infos[i].load_op = VK_ATTACHMENT_LOAD_OP_CLEAR;\n      attachment_infos[i].store_op = VK_ATTACHMENT_STORE_OP_STORE;\n      attachment_infos[i].initial_layout = VK_IMAGE_LAYOUT_UNDEFINED;\n      attachment_infos[i].final_layout =\n          i == 0 ? VK_IMAGE_LAYOUT_DEPTH_STENCIL_READ_ONLY_OPTIMAL\n                 : VK_IMAGE_LAYOUT_SHADER_READ_ONLY_OPTIMAL;\n    }\n  }\n  pipeline_infos.gbuffer_generation.attachment_infos = attachment_infos;\n\n  std::vector<VkSubpassDependency2KHR> dependencies{2};\n  dependencies[0].sType = VK_STRUCTURE_TYPE_SUBPASS_DEPENDENCY_2_KHR;\n  dependencies[0].srcSubpass = VK_SUBPASS_EXTERNAL;\n  dependencies[0].dstSubpass = 0;\n  dependencies[0].srcStageMask = VK_PIPELINE_STAGE_FRAGMENT_SHADER_BIT;\n  dependencies[0].srcAccessMask = VK_ACCESS_SHADER_READ_BIT;\n  dependencies[0].dstStageMask = VK_PIPELINE_STAGE_COLOR_ATTACHMENT_OUTPUT_BIT;\n  dependencies[0].dstAccessMask = VK_ACCESS_COLOR_ATTACHMENT_WRITE_BIT;\n  dependencies[0].dependencyFlags = VK_DEPENDENCY_BY_REGION_BIT;\n\n  dependencies[1].sType = VK_STRUCTURE_TYPE_SUBPASS_DEPENDENCY_2_KHR;\n  dependencies[1].srcSubpass = 0;\n  dependencies[1].dstSubpass = VK_SUBPASS_EXTERNAL;\n  dependencies[1].srcStageMask = VK_PIPELINE_STAGE_COLOR_ATTACHMENT_OUTPUT_BIT;\n  dependencies[1].srcAccessMask = VK_ACCESS_COLOR_ATTACHMENT_WRITE_BIT;\n  dependencies[1].dstStageMask = VK_PIPELINE_STAGE_FRAGMENT_SHADER_BIT;\n  dependencies[1].dstAccessMask = VK_ACCESS_SHADER_READ_BIT;\n  dependencies[1].dependencyFlags = VK_DEPENDENCY_BY_REGION_BIT;\n\n  pipeline_infos.gbuffer_generation.dependencies = dependencies;\n}\n\nvoid HexMeshingApp::SetupSSAOPipeline() {\n  pipeline_infos.ssao.attachment_ids = {attachment_dict.ssao};\n  auto ssao_shader_program = vkoo::st::ShaderProgram{\n      {vkoo::GetShaderPath() + \"/offscreen.vert\", \"main\"},\n      {vkoo::GetShaderPath() + \"/deferred_ssao.frag\", \"main\"}};\n\n  auto ssao_subpass = std::make_unique<vkoo::SSAOSubpass>(\n      *render_context_, ssao_shader_program, *scene_, *sampler_,\n      attachment_dict.depth_resolved, attachment_dict.normal_resolved);\n  ssao_subpass->SetDisableDepthStencilAttachment(true);\n  ssao_subpass->SetOutputAttachments({0});\n\n  auto ssao_pipeline = std::make_unique<vkoo::RenderPipeline>();\n  ssao_pipeline->AddSubpass(std::move(ssao_subpass));\n\n  std::vector<VkClearValue> clear_value{1};\n  clear_value[0].color = {{0.0f, 0.0f, 0.0f, 1.0f}};\n\n  ssao_pipeline->SetClearValue(clear_value);\n\n  pipeline_infos.ssao.pipeline = std::move(ssao_pipeline);\n  std::vector<AttachmentInfo> attachment_infos{1};\n  attachment_infos[0].load_op = VK_ATTACHMENT_LOAD_OP_CLEAR;\n  attachment_infos[0].store_op = VK_ATTACHMENT_STORE_OP_STORE;\n  attachment_infos[0].initial_layout = VK_IMAGE_LAYOUT_UNDEFINED;\n  attachment_infos[0].final_layout = VK_IMAGE_LAYOUT_SHADER_READ_ONLY_OPTIMAL;\n  pipeline_infos.ssao.attachment_infos = attachment_infos;\n\n  std::vector<VkSubpassDependency2KHR> dependencies{2};\n  dependencies[0].sType = VK_STRUCTURE_TYPE_SUBPASS_DEPENDENCY_2_KHR;\n  dependencies[0].srcSubpass = VK_SUBPASS_EXTERNAL;\n  dependencies[0].dstSubpass = 0;\n  dependencies[0].srcStageMask = VK_PIPELINE_STAGE_FRAGMENT_SHADER_BIT;\n  dependencies[0].srcAccessMask =\n      VK_ACCESS_SHADER_READ_BIT;  // no need to include write here; this is\n                                  // taken care of by GBuffer's dependencies.\n  dependencies[0].dstStageMask = VK_PIPELINE_STAGE_COLOR_ATTACHMENT_OUTPUT_BIT;\n  dependencies[0].dstAccessMask = VK_ACCESS_COLOR_ATTACHMENT_READ_BIT |\n                                  VK_ACCESS_COLOR_ATTACHMENT_WRITE_BIT;\n  dependencies[0].dependencyFlags = VK_DEPENDENCY_BY_REGION_BIT;\n\n  dependencies[1].sType = VK_STRUCTURE_TYPE_SUBPASS_DEPENDENCY_2_KHR;\n  dependencies[1].srcSubpass = 0;\n  dependencies[1].dstSubpass = VK_SUBPASS_EXTERNAL;\n  dependencies[1].srcStageMask = VK_PIPELINE_STAGE_COLOR_ATTACHMENT_OUTPUT_BIT;\n  dependencies[1].srcAccessMask = VK_ACCESS_COLOR_ATTACHMENT_READ_BIT |\n                                  VK_ACCESS_COLOR_ATTACHMENT_WRITE_BIT;\n  dependencies[1].dstStageMask = VK_PIPELINE_STAGE_FRAGMENT_SHADER_BIT;\n  dependencies[1].dstAccessMask = VK_ACCESS_SHADER_READ_BIT;\n  dependencies[1].dependencyFlags = VK_DEPENDENCY_BY_REGION_BIT;\n\n  pipeline_infos.ssao.dependencies = dependencies;\n}\n\nvoid HexMeshingApp::SetupSSAOBlurPipeline() {\n  pipeline_infos.ssao_blur.attachment_ids = {attachment_dict.ssao_blur};\n  auto shader_program = vkoo::st::ShaderProgram{\n      {vkoo::GetShaderPath() + \"/offscreen.vert\", \"main\"},\n      {vkoo::GetShaderPath() + \"/deferred_ssao_blur.frag\", \"main\"}};\n\n  auto subpass = std::make_unique<vkoo::SSAOBlurSubpass>(\n      *render_context_, shader_program, *scene_, attachment_dict.ssao);\n  subpass->SetDisableDepthStencilAttachment(true);\n  subpass->SetOutputAttachments({0});\n\n  auto pipeline = std::make_unique<vkoo::RenderPipeline>();\n  pipeline->AddSubpass(std::move(subpass));\n\n  std::vector<VkClearValue> clear_value{1};\n  clear_value[0].color = {{0.0f, 0.0f, 0.0f, 1.0f}};\n\n  pipeline->SetClearValue(clear_value);\n\n  pipeline_infos.ssao_blur.pipeline = std::move(pipeline);\n  std::vector<AttachmentInfo> attachment_infos{1};\n  attachment_infos[0].load_op = VK_ATTACHMENT_LOAD_OP_CLEAR;\n  attachment_infos[0].store_op = VK_ATTACHMENT_STORE_OP_STORE;\n  attachment_infos[0].initial_layout = VK_IMAGE_LAYOUT_UNDEFINED;\n  attachment_infos[0].final_layout = VK_IMAGE_LAYOUT_SHADER_READ_ONLY_OPTIMAL;\n  pipeline_infos.ssao_blur.attachment_infos = attachment_infos;\n\n  std::vector<VkSubpassDependency2KHR> dependencies{2};\n  dependencies[0].sType = VK_STRUCTURE_TYPE_SUBPASS_DEPENDENCY_2_KHR;\n  dependencies[0].srcSubpass = VK_SUBPASS_EXTERNAL;\n  dependencies[0].dstSubpass = 0;\n  dependencies[0].srcStageMask = VK_PIPELINE_STAGE_FRAGMENT_SHADER_BIT;\n  dependencies[0].srcAccessMask = VK_ACCESS_SHADER_READ_BIT;\n  dependencies[0].dstStageMask = VK_PIPELINE_STAGE_COLOR_ATTACHMENT_OUTPUT_BIT;\n  dependencies[0].dstAccessMask = VK_ACCESS_COLOR_ATTACHMENT_READ_BIT |\n                                  VK_ACCESS_COLOR_ATTACHMENT_WRITE_BIT;\n  dependencies[0].dependencyFlags = VK_DEPENDENCY_BY_REGION_BIT;\n\n  dependencies[1].sType = VK_STRUCTURE_TYPE_SUBPASS_DEPENDENCY_2_KHR;\n  dependencies[1].srcSubpass = 0;\n  dependencies[1].dstSubpass = VK_SUBPASS_EXTERNAL;\n  dependencies[1].srcStageMask = VK_PIPELINE_STAGE_COLOR_ATTACHMENT_OUTPUT_BIT;\n  dependencies[1].srcAccessMask = VK_ACCESS_COLOR_ATTACHMENT_READ_BIT |\n                                  VK_ACCESS_COLOR_ATTACHMENT_WRITE_BIT;\n  dependencies[1].dstStageMask = VK_PIPELINE_STAGE_FRAGMENT_SHADER_BIT;\n  dependencies[1].dstAccessMask = VK_ACCESS_SHADER_READ_BIT;\n  dependencies[1].dependencyFlags = VK_DEPENDENCY_BY_REGION_BIT;\n\n  pipeline_infos.ssao_blur.dependencies = dependencies;\n}\n\nvoid HexMeshingApp::SetupLightingPipeline() {\n  pipeline_infos.lighting.attachment_ids = {attachment_dict.swapchain};\n  auto lighting_shader_program = vkoo::st::ShaderProgram{\n      {vkoo::GetShaderPath() + \"/offscreen.vert\", \"main\"},\n      {vkoo::GetShaderPath() + \"/deferred_lighting.frag\", \"main\"}};\n\n  auto lighting_subpass = std::make_unique<vkoo::DeferredLightingSubpass>(\n      *render_context_, lighting_shader_program, *scene_, *sampler_,\n      attachment_dict.depth_resolved, attachment_dict.albedo_resolved,\n      attachment_dict.normal_resolved);\n\n  if (settings_.ssao_on) {\n    lighting_subpass->SetSSAOAttachment(attachment_dict.ssao_blur);\n  }\n  // No depth attachment for lighting pass.\n  lighting_subpass->SetDisableDepthStencilAttachment(true);\n\n  lighting_subpass->SetOutputAttachments({0});\n\n  auto lighting_pipeline = std::make_unique<vkoo::RenderPipeline>();\n  lighting_pipeline->AddSubpass(std::move(lighting_subpass));\n\n  std::vector<VkClearValue> clear_value{1};\n  clear_value[0].color = {\n      {0.0f, 0.0f, 0.0f, 0.0f}};  // this value does not matter\n\n  lighting_pipeline->SetClearValue(clear_value);\n\n  pipeline_infos.lighting.pipeline = std::move(lighting_pipeline);\n  std::vector<AttachmentInfo> attachment_infos{1};\n  attachment_infos[0].load_op = VK_ATTACHMENT_LOAD_OP_CLEAR;\n  attachment_infos[0].store_op = VK_ATTACHMENT_STORE_OP_STORE;\n  attachment_infos[0].initial_layout = VK_IMAGE_LAYOUT_UNDEFINED;\n  attachment_infos[0].final_layout = VK_IMAGE_LAYOUT_COLOR_ATTACHMENT_OPTIMAL;\n  pipeline_infos.lighting.attachment_infos = attachment_infos;\n\n  std::vector<VkSubpassDependency2KHR> dependencies{2};\n  dependencies[0].sType = VK_STRUCTURE_TYPE_SUBPASS_DEPENDENCY_2_KHR;\n  dependencies[0].srcSubpass = VK_SUBPASS_EXTERNAL;\n  dependencies[0].dstSubpass = 0;\n  dependencies[0].srcStageMask = VK_PIPELINE_STAGE_COLOR_ATTACHMENT_OUTPUT_BIT;\n  dependencies[0].srcAccessMask = VK_ACCESS_COLOR_ATTACHMENT_READ_BIT |\n                                  VK_ACCESS_COLOR_ATTACHMENT_WRITE_BIT;\n  dependencies[0].dstStageMask = VK_PIPELINE_STAGE_COLOR_ATTACHMENT_OUTPUT_BIT;\n  dependencies[0].dstAccessMask = VK_ACCESS_COLOR_ATTACHMENT_READ_BIT |\n                                  VK_ACCESS_COLOR_ATTACHMENT_WRITE_BIT;\n  dependencies[0].dependencyFlags = VK_DEPENDENCY_BY_REGION_BIT;\n\n  dependencies[1].sType = VK_STRUCTURE_TYPE_SUBPASS_DEPENDENCY_2_KHR;\n  dependencies[1].srcSubpass = 0;\n  dependencies[1].dstSubpass = VK_SUBPASS_EXTERNAL;\n  dependencies[1].srcStageMask = VK_PIPELINE_STAGE_COLOR_ATTACHMENT_OUTPUT_BIT;\n  dependencies[1].srcAccessMask = VK_ACCESS_COLOR_ATTACHMENT_READ_BIT |\n                                  VK_ACCESS_COLOR_ATTACHMENT_WRITE_BIT;\n  dependencies[1].dstStageMask = VK_PIPELINE_STAGE_COLOR_ATTACHMENT_OUTPUT_BIT;\n  dependencies[1].dstAccessMask = VK_ACCESS_COLOR_ATTACHMENT_READ_BIT |\n                                  VK_ACCESS_COLOR_ATTACHMENT_WRITE_BIT;\n  dependencies[1].dependencyFlags = VK_DEPENDENCY_BY_REGION_BIT;\n\n  pipeline_infos.lighting.dependencies = dependencies;\n}\n\nvoid HexMeshingApp::SetupTransparentPipeline() {\n  auto transparent_shader_program = vkoo::st::ShaderProgram{\n      {vkoo::GetShaderPath() + \"/deferred_geometry.vert\", \"main\"},\n      {vkoo::GetShaderPath() + \"/deferred_transparent.frag\", \"main\"}};\n  auto transparent_subpass = std::make_unique<vkoo::GeometrySubpass>(\n      *render_context_, transparent_shader_program, *scene_,\n      vkoo::TransparencyMode::TransparentOnly);\n\n  std::vector<VkClearValue> clear_value;\n  if (IsMSAAEnabled()) {\n    pipeline_infos.transparent.attachment_ids = {\n        attachment_dict.transparent_resolved, attachment_dict.transparent_ms,\n        attachment_dict.depth_ms};\n    transparent_subpass->SetOutputAttachments({1});\n    transparent_subpass->SetColorResolveAttachments({0});\n    transparent_subpass->SetSampleCount(sample_count_);\n    clear_value = std::vector<VkClearValue>(3);\n    clear_value[0].color = {{0.0f, 0.0f, 0.0f, 0.0f}};\n    clear_value[1].color = {{0.0f, 0.0f, 0.0f, 0.0f}};\n    clear_value[2].depthStencil = {1.0f, ~0U};\n  } else {\n    pipeline_infos.transparent.attachment_ids = {\n        attachment_dict.transparent_resolved, attachment_dict.depth_resolved};\n    transparent_subpass->SetOutputAttachments({0});\n    clear_value = std::vector<VkClearValue>(2);\n    clear_value[0].color = {{0.0f, 0.0f, 0.0f, 0.0f}};\n    clear_value[1].depthStencil = {1.0f, ~0U};\n  }\n  transparent_subpass->SetDisableDepthStencilAttachment(false);\n\n  auto transparent_pipeline = std::make_unique<vkoo::RenderPipeline>();\n  transparent_pipeline->AddSubpass(std::move(transparent_subpass));\n  transparent_pipeline->SetClearValue(clear_value);\n\n  pipeline_infos.transparent.pipeline = std::move(transparent_pipeline);\n\n  std::vector<AttachmentInfo> attachment_infos;\n\n  if (IsMSAAEnabled()) {\n    attachment_infos = std::vector<AttachmentInfo>{3};\n    attachment_infos[0].load_op = VK_ATTACHMENT_LOAD_OP_CLEAR;\n    attachment_infos[0].store_op = VK_ATTACHMENT_STORE_OP_STORE;\n    attachment_infos[0].initial_layout = VK_IMAGE_LAYOUT_UNDEFINED;\n    attachment_infos[0].final_layout = VK_IMAGE_LAYOUT_SHADER_READ_ONLY_OPTIMAL;\n    attachment_infos[1].load_op = VK_ATTACHMENT_LOAD_OP_CLEAR;\n    attachment_infos[1].store_op = VK_ATTACHMENT_STORE_OP_DONT_CARE;\n    attachment_infos[1].initial_layout = VK_IMAGE_LAYOUT_UNDEFINED;\n    attachment_infos[1].final_layout = VK_IMAGE_LAYOUT_COLOR_ATTACHMENT_OPTIMAL;\n    attachment_infos[2].load_op = VK_ATTACHMENT_LOAD_OP_LOAD;\n    attachment_infos[2].store_op = VK_ATTACHMENT_STORE_OP_DONT_CARE;\n    attachment_infos[2].initial_layout =\n        VK_IMAGE_LAYOUT_DEPTH_STENCIL_READ_ONLY_OPTIMAL;\n    attachment_infos[2].final_layout =\n        VK_IMAGE_LAYOUT_DEPTH_STENCIL_READ_ONLY_OPTIMAL;\n  } else {\n    attachment_infos = std::vector<AttachmentInfo>{2};\n    attachment_infos[0].load_op = VK_ATTACHMENT_LOAD_OP_CLEAR;\n    attachment_infos[0].store_op = VK_ATTACHMENT_STORE_OP_STORE;\n    attachment_infos[0].initial_layout = VK_IMAGE_LAYOUT_UNDEFINED;\n    attachment_infos[0].final_layout = VK_IMAGE_LAYOUT_SHADER_READ_ONLY_OPTIMAL;\n    attachment_infos[1].load_op = VK_ATTACHMENT_LOAD_OP_LOAD;\n    attachment_infos[1].store_op = VK_ATTACHMENT_STORE_OP_DONT_CARE;\n    attachment_infos[1].initial_layout =\n        VK_IMAGE_LAYOUT_DEPTH_STENCIL_READ_ONLY_OPTIMAL;\n    attachment_infos[1].final_layout =\n        VK_IMAGE_LAYOUT_DEPTH_STENCIL_READ_ONLY_OPTIMAL;\n  }\n  pipeline_infos.transparent.attachment_infos = attachment_infos;\n\n  std::vector<VkSubpassDependency2KHR> dependencies{2};\n  dependencies[0].sType = VK_STRUCTURE_TYPE_SUBPASS_DEPENDENCY_2_KHR;\n  dependencies[0].srcSubpass = VK_SUBPASS_EXTERNAL;\n  dependencies[0].dstSubpass = 0;\n  dependencies[0].srcStageMask = VK_PIPELINE_STAGE_COLOR_ATTACHMENT_OUTPUT_BIT;\n  dependencies[0].srcAccessMask = VK_ACCESS_COLOR_ATTACHMENT_READ_BIT |\n                                  VK_ACCESS_COLOR_ATTACHMENT_WRITE_BIT;\n  dependencies[0].dstStageMask = VK_PIPELINE_STAGE_COLOR_ATTACHMENT_OUTPUT_BIT;\n  dependencies[0].dstAccessMask = VK_ACCESS_COLOR_ATTACHMENT_READ_BIT |\n                                  VK_ACCESS_COLOR_ATTACHMENT_WRITE_BIT;\n\n  dependencies[0].dependencyFlags = VK_DEPENDENCY_BY_REGION_BIT;\n\n  dependencies[1].sType = VK_STRUCTURE_TYPE_SUBPASS_DEPENDENCY_2_KHR;\n  dependencies[1].srcSubpass = 0;\n  dependencies[1].dstSubpass = VK_SUBPASS_EXTERNAL;\n  dependencies[1].srcStageMask = VK_PIPELINE_STAGE_COLOR_ATTACHMENT_OUTPUT_BIT;\n  dependencies[1].dstStageMask = VK_PIPELINE_STAGE_BOTTOM_OF_PIPE_BIT;\n  dependencies[1].srcAccessMask = VK_ACCESS_COLOR_ATTACHMENT_READ_BIT |\n                                  VK_ACCESS_COLOR_ATTACHMENT_WRITE_BIT;\n  dependencies[1].dstAccessMask = VK_ACCESS_MEMORY_READ_BIT;\n  dependencies[1].dependencyFlags = VK_DEPENDENCY_BY_REGION_BIT;\n  pipeline_infos.transparent.dependencies = dependencies;\n}\n\nvoid HexMeshingApp::SetupPostprocessingPipeline() {\n  // For now the purpose of this is to write transparent part of the scene to\n  // the swapchain, plus GUI.\n  pipeline_infos.postprocessing.attachment_ids = {attachment_dict.swapchain};\n  auto shader_program = vkoo::st::ShaderProgram{\n      {vkoo::GetShaderPath() + \"/offscreen.vert\", \"main\"},\n      {vkoo::GetShaderPath() + \"/postprocessing.frag\", \"main\"}};\n\n  auto subpass = std::make_unique<vkoo::PostprocessingSubpass>(\n      *render_context_, shader_program, *scene_,\n      attachment_dict.transparent_resolved);\n  subpass->SetDisableDepthStencilAttachment(true);\n  subpass->SetOutputAttachments({0});\n\n  auto pipeline = std::make_unique<vkoo::RenderPipeline>();\n  pipeline->AddSubpass(std::move(subpass));\n\n  std::vector<VkClearValue> clear_value{1};\n  clear_value[0].color = {{0.0f, 0.0f, 0.0f, 0.0f}};\n\n  pipeline->SetClearValue(clear_value);\n\n  pipeline_infos.postprocessing.pipeline = std::move(pipeline);\n  std::vector<AttachmentInfo> attachment_infos{1};\n  attachment_infos[0].load_op = VK_ATTACHMENT_LOAD_OP_LOAD;\n  attachment_infos[0].store_op = VK_ATTACHMENT_STORE_OP_STORE;\n  attachment_infos[0].initial_layout = VK_IMAGE_LAYOUT_COLOR_ATTACHMENT_OPTIMAL;\n  attachment_infos[0].final_layout = VK_IMAGE_LAYOUT_PRESENT_SRC_KHR;\n  pipeline_infos.postprocessing.attachment_infos = attachment_infos;\n\n  std::vector<VkSubpassDependency2KHR> dependencies{2};\n  dependencies[0].sType = VK_STRUCTURE_TYPE_SUBPASS_DEPENDENCY_2_KHR;\n  dependencies[0].srcSubpass = VK_SUBPASS_EXTERNAL;\n  dependencies[0].dstSubpass = 0;\n  dependencies[0].srcStageMask = VK_PIPELINE_STAGE_FRAGMENT_SHADER_BIT;\n  dependencies[0].srcAccessMask = VK_ACCESS_SHADER_READ_BIT;\n  dependencies[0].dstStageMask = VK_PIPELINE_STAGE_COLOR_ATTACHMENT_OUTPUT_BIT;\n  dependencies[0].dstAccessMask = VK_ACCESS_COLOR_ATTACHMENT_READ_BIT |\n                                  VK_ACCESS_COLOR_ATTACHMENT_WRITE_BIT;\n  dependencies[0].dependencyFlags = VK_DEPENDENCY_BY_REGION_BIT;\n\n  dependencies[1].sType = VK_STRUCTURE_TYPE_SUBPASS_DEPENDENCY_2_KHR;\n  dependencies[1].srcSubpass = 0;\n  dependencies[1].dstSubpass = VK_SUBPASS_EXTERNAL;\n  dependencies[1].srcStageMask = VK_PIPELINE_STAGE_COLOR_ATTACHMENT_OUTPUT_BIT;\n  dependencies[1].srcAccessMask = VK_ACCESS_COLOR_ATTACHMENT_READ_BIT |\n                                  VK_ACCESS_COLOR_ATTACHMENT_WRITE_BIT;\n  dependencies[1].dstStageMask = VK_PIPELINE_STAGE_FRAGMENT_SHADER_BIT;\n  dependencies[1].dstAccessMask = VK_ACCESS_SHADER_READ_BIT;\n  dependencies[1].dependencyFlags = VK_DEPENDENCY_BY_REGION_BIT;\n\n  pipeline_infos.postprocessing.dependencies = dependencies;\n}\n\nvoid HexMeshingApp::SetupRenderPipelines() {\n  SetupGBufferPipeline();\n  if (settings_.ssao_on) {\n    SetupSSAOPipeline();\n    SetupSSAOBlurPipeline();\n  }\n  SetupLightingPipeline();\n  SetupTransparentPipeline();\n  SetupPostprocessingPipeline();\n}\n\nvoid HexMeshingApp::DrawGui() { global_controller_->DrawGui(); }\n\nvoid HexMeshingApp::PrepareRenderContext() {\n  // Create a render target for each swapchain image.\n  // Note this will be called whenever swapchain is being recreated.\n  render_context_->Prepare([this](vkoo::core::Image&& swapchain_image) {\n    return CreateRenderTarget(std::move(swapchain_image));\n  });\n}\n\nstd::unique_ptr<vkoo::RenderTarget> HexMeshingApp::CreateRenderTarget(\n    vkoo::core::Image&& swapchain_image) {\n  if (supported_sample_count_list_.empty()) {\n    PrepareSupportedSampleCountList();\n  }\n  if (supported_depth_resolve_mode_list_.empty()) {\n    PrepareDepthResolveModeList();\n  }\n\n  auto& device = swapchain_image.GetDevice();\n  auto& extent = swapchain_image.GetExtent();\n\n  std::vector<vkoo::core::Image> images;\n  attachment_dict.swapchain = images.size();\n  images.push_back(std::move(swapchain_image));\n\n  auto depth_format = vkoo::GetSuitableDepthFormat(device.GetGPU().GetHandle());\n\n  if (IsMSAAEnabled()) {\n    vkoo::core::Image depth_ms_image{\n        device, extent, depth_format,\n        VK_IMAGE_USAGE_DEPTH_STENCIL_ATTACHMENT_BIT |\n            VK_IMAGE_USAGE_SAMPLED_BIT,\n        // VK_IMAGE_USAGE_TRANSIENT_ATTACHMENT_BIT,\n        VK_MEMORY_PROPERTY_DEVICE_LOCAL_BIT, sample_count_};\n    attachment_dict.depth_ms = images.size();\n    images.push_back(std::move(depth_ms_image));\n\n    vkoo::core::Image albedo_ms_image{\n        device,\n        extent,\n        VK_FORMAT_R32G32B32A32_SFLOAT,\n        VK_IMAGE_USAGE_COLOR_ATTACHMENT_BIT |\n            VK_IMAGE_USAGE_TRANSIENT_ATTACHMENT_BIT,\n        VK_MEMORY_PROPERTY_DEVICE_LOCAL_BIT,\n        sample_count_};\n    attachment_dict.albedo_ms = images.size();\n    images.push_back(std::move(albedo_ms_image));\n\n    vkoo::core::Image normal_ms_image{\n        device,\n        extent,\n        VK_FORMAT_R32G32B32A32_SFLOAT,\n        VK_IMAGE_USAGE_COLOR_ATTACHMENT_BIT |\n            VK_IMAGE_USAGE_TRANSIENT_ATTACHMENT_BIT,\n        VK_MEMORY_PROPERTY_DEVICE_LOCAL_BIT,\n        sample_count_};\n    attachment_dict.normal_ms = images.size();\n    images.push_back(std::move(normal_ms_image));\n\n    vkoo::core::Image transparent_ms_image{\n        device,\n        extent,\n        VK_FORMAT_R32G32B32A32_SFLOAT,\n        VK_IMAGE_USAGE_COLOR_ATTACHMENT_BIT |\n            VK_IMAGE_USAGE_TRANSIENT_ATTACHMENT_BIT,\n        VK_MEMORY_PROPERTY_DEVICE_LOCAL_BIT,\n        sample_count_};\n    attachment_dict.transparent_ms = images.size();\n    images.push_back(std::move(transparent_ms_image));\n  }\n  vkoo::core::Image depth_resolved_image{\n      device, extent, depth_format,\n      VK_IMAGE_USAGE_DEPTH_STENCIL_ATTACHMENT_BIT | VK_IMAGE_USAGE_SAMPLED_BIT,\n      VK_MEMORY_PROPERTY_DEVICE_LOCAL_BIT};\n\n  vkoo::core::Image albedo_resolved_image{\n      device, extent, VK_FORMAT_R32G32B32A32_SFLOAT,\n      VK_IMAGE_USAGE_COLOR_ATTACHMENT_BIT | VK_IMAGE_USAGE_SAMPLED_BIT,\n      VK_MEMORY_PROPERTY_DEVICE_LOCAL_BIT};\n\n  vkoo::core::Image normal_resolved_image{\n      device, extent, VK_FORMAT_R32G32B32A32_SFLOAT,\n      VK_IMAGE_USAGE_COLOR_ATTACHMENT_BIT | VK_IMAGE_USAGE_SAMPLED_BIT,\n      VK_MEMORY_PROPERTY_DEVICE_LOCAL_BIT};\n\n  vkoo::core::Image transparent_resolved_image{\n      device, extent, VK_FORMAT_R32G32B32A32_SFLOAT,\n      VK_IMAGE_USAGE_COLOR_ATTACHMENT_BIT | VK_IMAGE_USAGE_SAMPLED_BIT,\n      VK_MEMORY_PROPERTY_DEVICE_LOCAL_BIT};\n\n  attachment_dict.depth_resolved = images.size();\n  images.push_back(std::move(depth_resolved_image));\n  attachment_dict.albedo_resolved = images.size();\n  images.push_back(std::move(albedo_resolved_image));\n  attachment_dict.normal_resolved = images.size();\n  images.push_back(std::move(normal_resolved_image));\n  attachment_dict.transparent_resolved = images.size();\n  images.push_back(std::move(transparent_resolved_image));\n\n  if (settings_.ssao_on) {\n    vkoo::core::Image ssao_image{\n        device, extent, VK_FORMAT_R32_SFLOAT,\n        VK_IMAGE_USAGE_COLOR_ATTACHMENT_BIT | VK_IMAGE_USAGE_SAMPLED_BIT,\n        VK_MEMORY_PROPERTY_DEVICE_LOCAL_BIT};\n\n    vkoo::core::Image ssao_blur_image{\n        device, extent, VK_FORMAT_R32_SFLOAT,\n        VK_IMAGE_USAGE_COLOR_ATTACHMENT_BIT | VK_IMAGE_USAGE_SAMPLED_BIT,\n        VK_MEMORY_PROPERTY_DEVICE_LOCAL_BIT};\n\n    attachment_dict.ssao = images.size();\n    images.push_back(std::move(ssao_image));\n    attachment_dict.ssao_blur = images.size();\n    images.push_back(std::move(ssao_blur_image));\n  }\n\n  return std::make_unique<vkoo::RenderTarget>(std::move(images));\n}\n\nvoid HexMeshingApp::DrawRenderPasses(vkoo::CommandBuffer& command_buffer,\n                                     vkoo::RenderTarget& render_target) {\n  auto& extent = render_target.GetExtent();\n  SetViewPortAndScissor(command_buffer, extent);\n  // Draw G-buffer pipeline first.\n  DrawPipeline(command_buffer, render_target,\n               pipeline_infos.gbuffer_generation);\n  command_buffer.EndRenderPass();\n\n  if (settings_.ssao_on) {\n    command_buffer.Reset();\n    // Draw SSAO.\n    SetViewPortAndScissor(command_buffer, extent);\n    DrawPipeline(command_buffer, render_target, pipeline_infos.ssao);\n    command_buffer.EndRenderPass();\n\n    command_buffer.Reset();\n    // Draw SSAO blur.\n    SetViewPortAndScissor(command_buffer, extent);\n    DrawPipeline(command_buffer, render_target, pipeline_infos.ssao_blur);\n    command_buffer.EndRenderPass();\n  }\n\n  command_buffer.Reset();\n  // Draw lighting pipeline.\n  SetViewPortAndScissor(command_buffer, extent);\n  DrawPipeline(command_buffer, render_target, pipeline_infos.lighting);\n\n  command_buffer.EndRenderPass();\n\n  command_buffer.Reset();\n  // Draw transparent pipeline.\n  SetViewPortAndScissor(command_buffer, extent);\n  DrawPipeline(command_buffer, render_target, pipeline_infos.transparent);\n  command_buffer.EndRenderPass();\n\n  command_buffer.Reset();\n  // Draw postprocessing pipeline.\n  SetViewPortAndScissor(command_buffer, extent);\n  DrawPipeline(command_buffer, render_target, pipeline_infos.postprocessing);\n\n  // Draw GUI in the end in which we require only 1 color attachment that\n  // corresponds to the swapchain in the render pass.\n  if (gui_ && settings_.show_gui) {\n    gui_->Draw(command_buffer);\n  }\n  command_buffer.EndRenderPass();\n}\n\nvoid HexMeshingApp::DrawPipeline(vkoo::CommandBuffer& command_buffer,\n                                 vkoo::RenderTarget& render_target,\n                                 const PipelineInfo& pipeline_info) {\n  auto& attachment_ids = pipeline_info.attachment_ids;\n  auto& attachment_infos = pipeline_info.attachment_infos;\n  auto& dependencies = pipeline_info.dependencies;\n\n  auto& extent = render_target.GetExtent();\n  auto& views = render_target.GetViews();\n\n  std::vector<VkImageView> attachments;\n  std::vector<VkAttachmentDescription2KHR> attachment_descriptions;\n\n  for (size_t i = 0; i < attachment_ids.size(); i++) {\n    auto& view = views.at(attachment_ids[i]);\n    auto& image = view.GetImage();\n    attachments.push_back(view.GetHandle());\n\n    VkAttachmentDescription2KHR description{};\n    description.sType = VK_STRUCTURE_TYPE_ATTACHMENT_DESCRIPTION_2_KHR;\n    description.samples = image.GetSampleCount();\n    description.format = image.GetFormat();\n    description.initialLayout = attachment_infos[i].initial_layout;\n    description.finalLayout = attachment_infos[i].final_layout;\n    description.loadOp = attachment_infos[i].load_op;\n    description.storeOp = attachment_infos[i].store_op;\n    description.stencilLoadOp = VK_ATTACHMENT_LOAD_OP_DONT_CARE;\n    description.stencilStoreOp = VK_ATTACHMENT_STORE_OP_DONT_CARE;\n    attachment_descriptions.push_back(description);\n  }\n\n  auto forced_dependencies = dependencies;\n  pipeline_info.pipeline->Draw(command_buffer, extent, attachments,\n                               attachment_descriptions, dependencies);\n}\n\nvoid HexMeshingApp::UpdateScene(float delta_time) {\n  global_controller_->Update(delta_time);\n}\n\nvoid HexMeshingApp::HandleInputEvent(const vkoo::InputEvent& event) {\n  bool captured_by_gui = false;\n  if (gui_) {\n    captured_by_gui = gui_->HandleInputEvent(event);\n  }\n  if (!captured_by_gui) {\n    // Camera handling will be called within global_script_.\n    global_controller_->HandleInputEvent(event);\n  }\n}\n\nvoid HexMeshingApp::FramebufferSizeCallback(int width, int height) {\n  if (gui_) {\n    gui_->Resize(width, height);\n  }\n  global_controller_->OnWindowResize(width, height);\n  settings_.window_width = width;\n  settings_.window_height = height;\n}\n\nvoid HexMeshingApp::PrepareSupportedSampleCountList() {\n  VkPhysicalDeviceProperties gpu_properties;\n  vkGetPhysicalDeviceProperties(device_->GetGPU().GetHandle(), &gpu_properties);\n\n  VkSampleCountFlags supported_by_depth_and_color =\n      gpu_properties.limits.framebufferColorSampleCounts &\n      gpu_properties.limits.framebufferDepthSampleCounts;\n\n  std::vector<VkSampleCountFlagBits> counts = {\n      VK_SAMPLE_COUNT_4_BIT,  VK_SAMPLE_COUNT_2_BIT,  VK_SAMPLE_COUNT_8_BIT,\n      VK_SAMPLE_COUNT_16_BIT, VK_SAMPLE_COUNT_32_BIT, VK_SAMPLE_COUNT_64_BIT,\n      VK_SAMPLE_COUNT_1_BIT};\n\n  for (auto& count : counts) {\n    if (supported_by_depth_and_color & count) {\n      supported_sample_count_list_.push_back(count);\n\n      if (sample_count_ == VK_SAMPLE_COUNT_1_BIT) {\n        sample_count_ = count;\n        LOGI(\"Preferred MSAA sample count: {}\", sample_count_);\n      }\n    }\n  }\n}\n\nvoid HexMeshingApp::PrepareDepthResolveModeList() {\n  VkPhysicalDeviceProperties2KHR gpu_properties{};\n  gpu_properties.sType = VK_STRUCTURE_TYPE_PHYSICAL_DEVICE_PROPERTIES_2_KHR;\n  VkPhysicalDeviceDepthStencilResolvePropertiesKHR depth_resolve_properties{};\n  depth_resolve_properties.sType =\n      VK_STRUCTURE_TYPE_PHYSICAL_DEVICE_DEPTH_STENCIL_RESOLVE_PROPERTIES_KHR;\n  gpu_properties.pNext = static_cast<void*>(&depth_resolve_properties);\n\n  auto get_properties_fn =\n      (PFN_vkGetPhysicalDeviceProperties2KHR)vkGetInstanceProcAddr(\n          instance_->GetHandle(), \"vkGetPhysicalDeviceProperties2KHR\");\n  if (!get_properties_fn) {\n    throw std::runtime_error(\n        \"Physical device properties 2 extension not availabe/enabled!\");\n  }\n  get_properties_fn(device_->GetGPU().GetHandle(), &gpu_properties);\n\n  if (depth_resolve_properties.supportedDepthResolveModes == 0) {\n    throw std::runtime_error(\"No depth stencil resolve modes supported!\");\n  } else {\n    std::vector<VkResolveModeFlagBits> modes = {\n        VK_RESOLVE_MODE_SAMPLE_ZERO_BIT, VK_RESOLVE_MODE_MIN_BIT,\n        VK_RESOLVE_MODE_MAX_BIT, VK_RESOLVE_MODE_AVERAGE_BIT};\n\n    for (auto& mode : modes) {\n      if (depth_resolve_properties.supportedDepthResolveModes & mode) {\n        supported_depth_resolve_mode_list_.push_back(mode);\n\n        if (depth_resolve_mode_ == VK_RESOLVE_MODE_NONE) {\n          depth_resolve_mode_ = mode;\n        }\n      }\n    }\n  }\n}\n\nvoid HexMeshingApp::UpdatePipelines() {\n  device_->WaitIdle();\n  render_context_->UpdateSwapchain();\n  device_->WaitIdle();\n  // Pipeline setup must be after render target creations!\n  SetupRenderPipelines();\n}\n\nvoid HexMeshingApp::SaveScreenshot(const std::string& filename) {\n  LOGI(\"Saving screenshot ...\");\n  device_->WaitIdle();\n\n  VkImage src_image_vk = GetRenderContext().GetLastActiveSwapchainImage();\n\n  VkExtent2D extent{};\n  GetWindowSize(extent.width, extent.height);\n  VkImageSubresourceRange subresource_range{VK_IMAGE_ASPECT_COLOR_BIT, 0, 1, 0,\n                                            1};\n  vkoo::core::Image dst_image{*device_,\n                              extent,\n                              VK_FORMAT_R8G8B8A8_UNORM,\n                              VK_IMAGE_USAGE_TRANSFER_DST_BIT,\n                              VK_MEMORY_PROPERTY_HOST_VISIBLE_BIT |\n                                  VK_MEMORY_PROPERTY_HOST_COHERENT_BIT,\n                              VK_SAMPLE_COUNT_1_BIT,\n                              VK_IMAGE_TILING_LINEAR};\n\n  vkoo::CommandBuffer& cmd = device_->RequestCommandBuffer();\n  cmd.Begin(VK_COMMAND_BUFFER_USAGE_ONE_TIME_SUBMIT_BIT);\n  {\n    vkoo::ImageMemoryBarrier barrier;\n    barrier.src_access_mask = 0;\n    barrier.dst_access_mask = VK_ACCESS_TRANSFER_WRITE_BIT;\n    barrier.src_stage_mask = VK_PIPELINE_STAGE_TRANSFER_BIT;\n    barrier.dst_stage_mask = VK_PIPELINE_STAGE_TRANSFER_BIT;\n    barrier.old_layout = VK_IMAGE_LAYOUT_UNDEFINED;\n    barrier.new_layout = VK_IMAGE_LAYOUT_TRANSFER_DST_OPTIMAL;\n    cmd.InsertImageMemoryBarrier(dst_image.GetHandle(), barrier,\n                                 subresource_range);\n  }\n  {\n    vkoo::ImageMemoryBarrier barrier;\n    barrier.src_access_mask = VK_ACCESS_MEMORY_READ_BIT;\n    barrier.dst_access_mask = VK_ACCESS_TRANSFER_READ_BIT;\n    barrier.src_stage_mask = VK_PIPELINE_STAGE_TRANSFER_BIT;\n    barrier.dst_stage_mask = VK_PIPELINE_STAGE_TRANSFER_BIT;\n    barrier.old_layout = VK_IMAGE_LAYOUT_PRESENT_SRC_KHR;\n    barrier.new_layout = VK_IMAGE_LAYOUT_TRANSFER_SRC_OPTIMAL;\n    cmd.InsertImageMemoryBarrier(src_image_vk, barrier, subresource_range);\n  }\n  {\n    VkImageCopy copy_region{};\n    copy_region.srcSubresource.aspectMask = VK_IMAGE_ASPECT_COLOR_BIT;\n    copy_region.srcSubresource.layerCount = 1;\n    copy_region.dstSubresource.aspectMask = VK_IMAGE_ASPECT_COLOR_BIT;\n    copy_region.dstSubresource.layerCount = 1;\n    copy_region.extent.width = extent.width;\n    copy_region.extent.height = extent.height;\n    copy_region.extent.depth = 1;\n\n    vkCmdCopyImage(cmd.GetHandle(), src_image_vk,\n                   VK_IMAGE_LAYOUT_TRANSFER_SRC_OPTIMAL, dst_image.GetHandle(),\n                   VK_IMAGE_LAYOUT_TRANSFER_DST_OPTIMAL, 1, &copy_region);\n  }\n  {\n    vkoo::ImageMemoryBarrier barrier;\n    barrier.src_access_mask = VK_ACCESS_TRANSFER_WRITE_BIT;\n    barrier.dst_access_mask = VK_ACCESS_MEMORY_READ_BIT;\n    barrier.src_stage_mask = VK_PIPELINE_STAGE_TRANSFER_BIT;\n    barrier.dst_stage_mask = VK_PIPELINE_STAGE_TRANSFER_BIT;\n    barrier.old_layout = VK_IMAGE_LAYOUT_TRANSFER_DST_OPTIMAL;\n    barrier.new_layout = VK_IMAGE_LAYOUT_GENERAL;\n    cmd.InsertImageMemoryBarrier(dst_image.GetHandle(), barrier,\n                                 subresource_range);\n  }\n  {\n    // Transition swapchain image back.\n    vkoo::ImageMemoryBarrier barrier;\n    barrier.src_access_mask = VK_ACCESS_TRANSFER_READ_BIT;\n    barrier.dst_access_mask = VK_ACCESS_MEMORY_READ_BIT;\n    barrier.src_stage_mask = VK_PIPELINE_STAGE_TRANSFER_BIT;\n    barrier.dst_stage_mask = VK_PIPELINE_STAGE_TRANSFER_BIT;\n    barrier.old_layout = VK_IMAGE_LAYOUT_TRANSFER_SRC_OPTIMAL;\n    barrier.new_layout = VK_IMAGE_LAYOUT_PRESENT_SRC_KHR;\n    cmd.InsertImageMemoryBarrier(src_image_vk, barrier, subresource_range);\n  }\n  cmd.End();\n\n  auto& queue = device_->GetQueueByFlags(VK_QUEUE_GRAPHICS_BIT, 0);\n\n  queue.Submit(cmd, device_->RequestFence());\n\n  device_->GetFencePool().Wait();\n  device_->GetFencePool().Reset();\n  device_->GetCommandPool().ResetPool();\n  device_->WaitIdle();\n\n  VkImageSubresource sub_resource{VK_IMAGE_ASPECT_COLOR_BIT, 0, 0};\n  VkSubresourceLayout sub_resource_layout;\n  vkGetImageSubresourceLayout(device_->GetHandle(), dst_image.GetHandle(),\n                              &sub_resource, &sub_resource_layout);\n\n  const char* data;\n  vkMapMemory(device_->GetHandle(), dst_image.GetMemory(), 0, VK_WHOLE_SIZE, 0,\n              (void**)&data);\n  data += sub_resource_layout.offset;\n\n  bool color_swizzle = false;\n  // Check if source is BGR\n  // Note: Not complete, only contains most common and basic BGR surface formats\n  // for demonstration purposes.\n  {\n    std::vector<VkFormat> formatsBGR = {VK_FORMAT_B8G8R8A8_SRGB,\n                                        VK_FORMAT_B8G8R8A8_UNORM,\n                                        VK_FORMAT_B8G8R8A8_SNORM};\n    auto itr = std::find(formatsBGR.begin(), formatsBGR.end(),\n                         GetRenderContext().GetSwapchain().GetFormat());\n    color_swizzle = (itr != formatsBGR.end());\n  }\n\n  std::vector<uint8_t> pixels;\n  for (uint32_t y = 0; y < extent.height; y++) {\n    unsigned int* row = (unsigned int*)data;\n    for (uint32_t x = 0; x < extent.width; x++) {\n      if (color_swizzle) {\n        pixels.push_back(*((uint8_t*)row + 2));\n        pixels.push_back(*((uint8_t*)row + 1));\n        pixels.push_back(*((uint8_t*)row + 0));\n        pixels.push_back(*((uint8_t*)row + 3));\n      } else {\n        pixels.push_back(*((uint8_t*)row + 0));\n        pixels.push_back(*((uint8_t*)row + 1));\n        pixels.push_back(*((uint8_t*)row + 2));\n        pixels.push_back(*((uint8_t*)row + 3));\n      }\n      row++;\n    }\n    data += sub_resource_layout.rowPitch;\n  }\n  stbi_write_png(filename.c_str(), extent.width, extent.height, 4,\n                 pixels.data(), extent.width * 4);\n\n  LOGI(\"Done saving screenshot.\");\n}\n\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/HexMeshingApp.h",
    "content": "#pragma once\n\n#include <vkoo/core/Application.h>\n#include <vkoo/core/Sampler.h>\n#include <vkoo/core/VertexObject.h>\n#include <vkoo/st/Material.h>\n#include <vkoo/st/ShaderProgram.h>\n#include <vkoo/st/Texture.h>\n#include <vkoo/st/components/Mesh.h>\n#include <vkoo/st/components/Script.h>\n\n#include \"Settings.h\"\n#include \"controllers/GlobalController.h\"\n\nnamespace hex {\nclass HexMeshingApp : public vkoo::Application {\n public:\n  HexMeshingApp(bool enable_validation_layer);\n  ~HexMeshingApp();\n  void Prepare() override;\n  void DrawGui() override;\n  Settings& GetSettings();\n  void UpdatePipelines();\n  void MainLoop() override;\n\n  void ReloadSettings(const std::string& filename);\n  void SaveSettings(const std::string& filename);\n  void SaveScreenshot(const std::string& filename);\n  void UpdateCameraAndLighting();\n\n private:\n  struct AttachmentInfo {\n    VkAttachmentLoadOp load_op;\n    VkAttachmentStoreOp store_op;\n    VkImageLayout initial_layout;\n    VkImageLayout final_layout;\n  };\n\n  struct PipelineInfo {\n    std::unique_ptr<vkoo::RenderPipeline> pipeline;\n    std::vector<uint32_t> attachment_ids;  // index in render target\n    std::vector<AttachmentInfo>\n        attachment_infos;  // same size as attachment_ids\n    std::vector<VkSubpassDependency2KHR> dependencies;\n  };\n\n  void UpdateScene(float delta_time) override;\n  void HandleInputEvent(const vkoo::InputEvent& event) override;\n  void FramebufferSizeCallback(int width, int height) override;\n\n  void PrepareRenderContext() override;\n  void DrawRenderPasses(vkoo::CommandBuffer& command_buffer,\n                        vkoo::RenderTarget& render_target) override;\n\n  std::unique_ptr<vkoo::RenderTarget> CreateRenderTarget(\n      vkoo::core::Image&& swapchain_image);\n\n  void DrawPipeline(vkoo::CommandBuffer& command_buffer,\n                    vkoo::RenderTarget& render_target,\n                    const PipelineInfo& pipeline_info);\n\n  void SetupScene();\n  void RecreateLights();\n  void SetupRenderPipelines();\n  void SetupGBufferPipeline();\n  void SetupLightingPipeline();\n  void SetupSSAOPipeline();\n  void SetupSSAOBlurPipeline();\n  void SetupTransparentPipeline();\n  void SetupPostprocessingPipeline();\n\n  void PrepareSupportedSampleCountList();\n  void PrepareDepthResolveModeList();\n\n  bool IsMSAAEnabled() const;\n\n  float GetDpiFactor() const override { return 1.0f; }\n\n  struct {\n    PipelineInfo gbuffer_generation{};\n    PipelineInfo ssao{};\n    PipelineInfo ssao_blur{};\n    PipelineInfo lighting{};\n    PipelineInfo transparent{};\n    PipelineInfo postprocessing{};\n  } pipeline_infos;\n\n  // Below are application specific implementations.\n  void CreateSampler();\n\n  std::unique_ptr<vkoo::core::Sampler> sampler_;\n\n  std::unique_ptr<GlobalController> global_controller_;\n\n  Settings settings_;\n\n  VkSampleCountFlagBits sample_count_{VK_SAMPLE_COUNT_1_BIT};\n  std::vector<VkSampleCountFlagBits> supported_sample_count_list_;\n  VkResolveModeFlagBits depth_resolve_mode_{\n      VkResolveModeFlagBits::VK_RESOLVE_MODE_NONE};\n  std::vector<VkResolveModeFlagBits> supported_depth_resolve_mode_list_;\n\n  // Keep track of indices of attachments.\n  struct {\n    uint32_t swapchain;\n    uint32_t depth_ms;\n    uint32_t depth_resolved;\n    uint32_t albedo_ms;\n    uint32_t albedo_resolved;\n    uint32_t normal_ms;\n    uint32_t normal_resolved;\n    uint32_t ssao;\n    uint32_t ssao_blur;\n    uint32_t transparent_ms;\n    uint32_t transparent_resolved;\n  } attachment_dict;\n\n  VkClearColorValue background_clear_color_{{0.0f, 0.0f, 0.0f, 0.0f}};\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/Settings.cpp",
    "content": "#include \"Settings.h\"\n\n#include <vkoo/st/components/Light.h>\n#include <yaml-cpp/node/type.h>\n#include <yaml-cpp/yaml.h>\n\n#include <filesystem>\n\n#include \"logging.h\"\n\nnamespace fs = std::filesystem;\nnamespace YAML {\ntemplate <>\nstruct convert<glm::vec3> {\n  static Node encode(const glm::vec3& rhs) {\n    Node node;\n    node.push_back(rhs.x);\n    node.push_back(rhs.y);\n    node.push_back(rhs.z);\n    return node;\n  }\n\n  static bool decode(const Node& node, glm::vec3& rhs) {\n    if (!node.IsSequence() || node.size() != 3) {\n      return false;\n    }\n\n    rhs.x = node[0].as<float>();\n    rhs.y = node[1].as<float>();\n    rhs.z = node[2].as<float>();\n    return true;\n  }\n};\n\ntemplate <>\nstruct convert<glm::quat> {\n  static Node encode(const glm::quat& rhs) {\n    Node node;\n    node.push_back(rhs.x);\n    node.push_back(rhs.y);\n    node.push_back(rhs.z);\n    node.push_back(rhs.w);\n    return node;\n  }\n\n  static bool decode(const Node& node, glm::quat& rhs) {\n    if (!node.IsSequence() || node.size() != 4) {\n      return false;\n    }\n\n    rhs.x = node[0].as<float>();\n    rhs.y = node[1].as<float>();\n    rhs.z = node[2].as<float>();\n    rhs.w = node[3].as<float>();\n    return true;\n  }\n};\n\ntemplate <>\nstruct convert<hex::Settings::CameraSpec> {\n  static Node encode(const hex::Settings::CameraSpec& rhs) {\n    YAML::Node node;\n    node[\"position\"] = rhs.position;\n    node[\"anchor\"] = rhs.anchor;\n    node[\"up_direction\"] = rhs.up_direction;\n    return node;\n  }\n\n  static bool decode(const Node& node, hex::Settings::CameraSpec& rhs) {\n    rhs.position = node[\"position\"].as<glm::vec3>();\n    rhs.anchor = node[\"anchor\"].as<glm::vec3>();\n    rhs.up_direction = node[\"up_direction\"].as<glm::vec3>();\n    return true;\n  }\n};\n\ntemplate <>\nstruct convert<vkoo::st::LightProperties> {\n  static Node encode(const vkoo::st::LightProperties& rhs) {\n    YAML::Node node;\n    node[\"color\"] = rhs.color;\n    node[\"direction\"] = rhs.direction;\n    node[\"intensity\"] = rhs.intensity;\n    node[\"range\"] = rhs.range;\n    return node;\n  }\n\n  static bool decode(const Node& node, vkoo::st::LightProperties& rhs) {\n    rhs.color = node[\"color\"].as<glm::vec3>();\n    rhs.direction = node[\"direction\"].as<glm::vec3>();\n    rhs.intensity = node[\"intensity\"].as<float>();\n    rhs.range = node[\"range\"].as<float>();\n    return true;\n  }\n};\n\ntemplate <>\nstruct convert<hex::Settings::LightSpec> {\n  static Node encode(const hex::Settings::LightSpec& rhs) {\n    YAML::Node node;\n    if (rhs.type == vkoo::st::LightType::Directional) {\n      node[\"type\"] = \"directional\";\n    } else {\n      node[\"type\"] = \"point\";\n    }\n\n    node[\"properties\"] = rhs.properties;\n    node[\"position\"] = rhs.position;\n\n    return node;\n  };\n\n  static bool decode(const Node& node, hex::Settings::LightSpec& rhs) {\n    rhs.type = (node[\"type\"].as<std::string>() == \"directional\")\n                   ? vkoo::st::LightType::Directional\n                   : vkoo::st::LightType::Point;\n\n    rhs.properties = node[\"properties\"].as<vkoo::st::LightProperties>();\n    rhs.position = node[\"position\"].as<glm::vec3>();\n    return true;\n  }\n};\n}  // namespace YAML\n\nnamespace hex {\nSettings::Settings(const std::string& file_path, double save_freq)\n    : file_path_{file_path}, save_freq_{save_freq} {\n  if (!file_path.empty() && fs::exists(file_path)) {\n    Load();\n  } else {\n    CreateDefaultLights();\n  }\n  last_save_time_ = Clock::now();\n}\n\nvoid Settings::Load() { Load(file_path_); }\n\nvoid Settings::Load(const std::string& file_path) {\n  YAML::Node config = YAML::LoadFile(file_path);\n  if (config[\"expert_mode\"]) {\n    expert_mode = config[\"expert_mode\"].as<bool>();\n  }\n  if (config[\"window_width\"]) {\n    window_width = config[\"window_width\"].as<int>();\n  }\n  if (config[\"window_height\"]) {\n    window_height = config[\"window_height\"].as<int>();\n  }\n  if (config[\"msaa_on\"]) {\n    msaa_on = config[\"msaa_on\"].as<bool>();\n  }\n  if (config[\"ssao\"]) {\n    ssao_on = config[\"ssao_on\"].as<bool>();\n  }\n  if (config[\"camera\"]) {\n    camera = config[\"camera\"].as<CameraSpec>();\n  }\n  if (config[\"lights\"]) {\n    size_t num_lights = config[\"lights\"].size();\n    lights.clear();\n    for (size_t i = 0; i < num_lights; i++) {\n      lights.push_back(config[\"lights\"][i].as<LightSpec>());\n    }\n  } else {\n    CreateDefaultLights();\n  }\n}\n\nvoid Settings::CreateDefaultLights() {\n  lights.clear();\n  {\n    vkoo::st::LightProperties light_properties;\n    light_properties.direction = glm::normalize(glm::vec3(0.0f, -1.0f, -1.0f));\n    light_properties.color = glm::vec3(1.0f, 1.0f, 1.0f);\n    light_properties.intensity = 0.3f;\n    lights.push_back({vkoo::st::LightType::Directional,\n                      light_properties,\n                      {0.0f, 0.0f, 0.0f}});\n  }\n  {\n    vkoo::st::LightProperties light_properties;\n    light_properties.direction = glm::normalize(glm::vec3(-1.0f, 0.0f, -1.0f));\n    light_properties.color = glm::vec3(1.0f, 1.0f, 1.0f);\n    light_properties.intensity = 0.1f;\n    lights.push_back({vkoo::st::LightType::Directional,\n                      light_properties,\n                      {0.0f, 0.0f, 0.0f}});\n  }\n  {\n    vkoo::st::LightProperties light_properties;\n    light_properties.direction = glm::normalize(glm::vec3(-1.0f, -1.0f, 0.0f));\n    light_properties.color = glm::vec3(1.0f, 1.0f, 1.0f);\n    light_properties.intensity = 0.2f;\n    lights.push_back({vkoo::st::LightType::Directional,\n                      light_properties,\n                      {0.0f, 0.0f, 0.0f}});\n  }\n}\n\nvoid Settings::Save(const std::string& file_path) {\n  YAML::Node node;\n\n  node[\"window_width\"] = window_width;\n  node[\"window_height\"] = window_height;\n\n  node[\"expert_mode\"] = expert_mode;\n  node[\"msaa_on\"] = msaa_on;\n  node[\"ssao_on\"] = ssao_on;\n  node[\"camera\"] = camera;\n\n  node[\"lights\"] = YAML::Node(YAML::NodeType::Sequence);\n  for (size_t i = 0; i < lights.size(); i++) {\n    node[\"lights\"].push_back(lights[i]);\n  }\n\n  std::ofstream ofs(file_path);\n  ofs << node;\n}\n\nvoid Settings::Save() { Save(file_path_); }\n\nvoid Settings::TrySave() {\n  auto current_time = Clock::now();\n  auto duration_sec =\n      std::chrono::duration<double>(current_time - last_save_time_);\n  if (duration_sec.count() >= save_freq_) {\n    Save();\n    last_save_time_ = current_time;\n  }\n}\n\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/Settings.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\n#include <vkoo/st/components/Light.h>\n\nnamespace hex {\nstruct Settings {\n  using Clock = std::chrono::steady_clock;\n\n  Settings(const std::string& file_path, double save_freq);\n  void TrySave();\n  void Load();\n  void Load(const std::string& file_path);\n  void Save();\n  void Save(const std::string& file_path);\n\n  // Global settings.\n  int window_width{1280};\n  int window_height{720};\n  bool expert_mode{false};\n  bool msaa_on{true};\n  bool ssao_on{true};\n  bool show_advanced{false};\n  bool show_demo{false};\n  bool show_gui{true};\n  int fps_limit{60};\n  bool export_unit_scale{true};\n\n  // Scene related.\n  struct CameraSpec {\n    glm::vec3 position{0.0f, 0.0f, 5.0f};\n    glm::vec3 anchor{0.0f, 0.0f, 0.0f};\n    glm::vec3 up_direction{0.0f, 1.0f, 0.0f};\n  } camera;\n\n  struct LightSpec {\n    vkoo::st::LightType type;\n    vkoo::st::LightProperties properties;\n    glm::vec3 position;\n  };\n\n  std::vector<LightSpec> lights;\n\n private:\n  void CreateDefaultLights();\n\n  std::string file_path_;\n  double save_freq_;  // in seconds\n  std::chrono::time_point<Clock> last_save_time_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/common.cpp",
    "content": "#include \"common.h\"\n\nnamespace hex {\nglm::vec3 ToGlm(const Vector3f& vec) {\n  return glm::vec3{vec.x(), vec.y(), vec.z()};\n}\n\nstd::vector<glm::vec3> ToGlm(const std::vector<Vector3f>& vec) {\n  std::vector<glm::vec3> result;\n  for (auto& v : vec) {\n    result.push_back(ToGlm(v));\n  }\n  return result;\n}\n\nEigen::Vector3f ToEigen(const glm::vec3& vec) {\n  return Eigen::Vector3f{vec.x, vec.y, vec.z};\n}\n\nEigen::MatrixXf ArrayVector3fToMatrixXf(const std::vector<Vector3f>& array) {\n  Eigen::MatrixXf result{array.size(), array[0].size()};\n  for (int i = 0; i < static_cast<int>(array.size()); i++) {\n    result.row(i) = array[i];\n  }\n  return result;\n}\n\nEigen::MatrixXi ArrayVector2iToMatrixXi(const std::vector<Vector2i>& array) {\n  Eigen::MatrixXi result{array.size(), array[0].size()};\n  for (int i = 0; i < static_cast<int>(array.size()); i++) {\n    result.row(i) = array[i];\n  }\n  return result;\n}\n\nEigen::MatrixXi ArrayVector3iToMatrixXi(const std::vector<Vector3i>& array) {\n  Eigen::MatrixXi result{array.size(), array[0].size()};\n  for (int i = 0; i < static_cast<int>(array.size()); i++) {\n    result.row(i) = array[i];\n  }\n  return result;\n}\n\nEigen::MatrixXi ArrayVector4iToMatrixXi(const std::vector<Vector4i>& array) {\n  Eigen::MatrixXi result{array.size(), array[0].size()};\n  for (int i = 0; i < static_cast<int>(array.size()); i++) {\n    result.row(i) = array[i];\n  }\n  return result;\n}\n\nstd::vector<Vector3f> MatrixXfToArrayVector3f(const Eigen::MatrixXf& matrix) {\n  std::vector<Vector3f> result(matrix.rows());\n  for (int i = 0; i < matrix.rows(); i++) {\n    result[i] = matrix.row(i);\n  }\n  return result;\n}\n\nstd::vector<Vector4i> MatrixXiToArrayVector4i(const Eigen::MatrixXi& matrix) {\n  std::vector<Vector4i> result(matrix.rows());\n  for (int i = 0; i < matrix.rows(); i++) {\n    result[i] = matrix.row(i);\n  }\n  return result;\n}\n\nstd::size_t Vector3iHasher::operator()(const Vector3i& c) const {\n  using std::hash;\n  return hash<int>()(c.x()) ^ (hash<int>()(c.y()) << 4) ^\n         (hash<int>()(c.z()) << 8);\n}\n\nstd::size_t Vector4iHasher::operator()(const Vector4i& c) const {\n  using std::hash;\n  return hash<int>()(c.x()) ^ (hash<int>()(c.y()) << 4) ^\n         (hash<int>()(c.z()) << 8) ^ (hash<int>()(c.w()) << 12);\n}\n\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/common.h",
    "content": "#pragma once\n\n// clang-format off\n// On MSVC, the order of the include matters to avoid C2131.\n// The reason is not clear (something to do with glm and torch).\n#include <vkoo/common.h>\n#include <geomlib/common.h>\n// clang-format on\n\n#include <Eigen/Dense>\n#include <atomic>\n#include <map>\n#include <mutex>\n#include <random>\n#include <set>\n#include <string>\n#include <thread>\n#include <list>\n#include <unordered_map>\n#include <unordered_set>\n\nnamespace hex {\nusing Vector2f = Eigen::Vector2f;\nusing Vector3f = Eigen::Vector3f;\nusing Vector4f = Eigen::Vector4f;\nusing Vector2i = Eigen::Vector2i;\nusing Vector3i = Eigen::Vector3i;\nusing Vector4i = Eigen::Matrix<int, 4, 1, Eigen::DontAlign>;\n\nglm::vec3 ToGlm(const Vector3f& vec);\nstd::vector<glm::vec3> ToGlm(const std::vector<Vector3f>& vec);\nEigen::Vector3f ToEigen(const glm::vec3& vec);\nEigen::MatrixXf ArrayVector3fToMatrixXf(const std::vector<Vector3f>& array);\nEigen::MatrixXi ArrayVector2iToMatrixXi(const std::vector<Vector2i>& array);\nEigen::MatrixXi ArrayVector3iToMatrixXi(const std::vector<Vector3i>& array);\nEigen::MatrixXi ArrayVector4iToMatrixXi(const std::vector<Vector4i>& array);\nstd::vector<Vector3f> MatrixXfToArrayVector3f(const Eigen::MatrixXf& matrix);\nstd::vector<Vector4i> MatrixXiToArrayVector4i(const Eigen::MatrixXi& matrix);\n\nstruct Vector3iHasher {\n  std::size_t operator()(const Vector3i& c) const;\n};\n\nstruct Vector4iHasher {\n  std::size_t operator()(const Vector4i& c) const;\n};\n\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/controllers/CuboidEditingController.cpp",
    "content": "#include \"CuboidEditingController.h\"\n\n#include <vkoo/st/components/Mesh.h>\n\n#include <limits>\n\n#include \"GLFW/glfw3.h\"\n#include \"GlobalController.h\"\n#include \"imgui.h\"\n#include \"utility/ImGuiEx.h\"\n#include \"vkoo/core/Gui.h\"\n#include \"vkoo/core/InputEvent.h\"\n#include \"vkoo/core/PrimitiveFactory.h\"\n#include \"vkoo/st/hittables/AABB.h\"\n\nnamespace hex {\nnamespace {\nconst float kDragSensitivity = 5e-3f;\nconst float kStickyRadius = 3e-2f;\nconst Vector3f kAxes[3] = {\n    {1.0f, 0.0f, 0.0f}, {0.0f, 1.0f, 0.0f}, {0.0f, 0.0f, 1.0f}};\n}  // namespace\n\nbool CuboidEditingController::HandleInputEvent(const vkoo::InputEvent& event) {\n  if (state_ == State::Idle) {\n    return false;\n  }\n  bool handled = false;\n  if (event.GetSource() == vkoo::EventSource::Mouse) {\n    auto& mouse_event = static_cast<const vkoo::MouseButtonInputEvent&>(event);\n\n    if (state_ == State::Focused) {\n      // Ray in world space.\n      vkoo::st::Ray world_ray =\n          global_controller_\n              .ShootRayAtMousePosition(mouse_event.GetXPos(),\n                                       mouse_event.GetYPos())\n              .ToGlm();\n\n      auto traceables =\n          wrapper_node_ptr_->GetComponentsRecursive<vkoo::st::Tracing>();\n      vkoo::st::HitRecord hit_record{};\n      vkoo::st::Tracing* hit_obj = nullptr;\n      for (auto traceable : traceables) {\n        vkoo::st::Ray local_ray = world_ray;\n        local_ray.ApplyTransform(\n            traceable->GetNode()->GetTransform().GetWorldToLocalMatrix());\n        if (traceable->GetHittable().Intersect(local_ray, hit_record)) {\n          hit_obj = traceable;\n        }\n      }\n\n      if (hit_obj != nullptr) {\n        drag_hit_obj_ = hit_obj;\n        // TODO: highlight when mouse is hovering over.\n\n        if (mouse_event.GetButton() == vkoo::MouseButton::Left &&\n            mouse_event.GetAction() == vkoo::MouseAction::Down) {\n          drag_start_position_.x = mouse_event.GetXPos();\n          drag_start_position_.y = mouse_event.GetYPos();\n          drag_start_cuboid_ = *focused_cuboid_;\n          state_ = State::Dragged;\n          handled = true;\n        }\n      }\n    }\n\n    if (state_ == State::Dragged) {\n      if (sticky_highlight_node_ == nullptr) {\n        // Always detach highlight node at start.\n        sticky_highlight_node_ =\n            sticky_highlight_node_ptr_->GetParentPtr()->RemoveChild(\n                sticky_highlight_node_ptr_);\n      }\n\n      if (mouse_event.GetAction() == vkoo::MouseAction::Move) {\n        ResolveDrag(glm::vec2{mouse_event.GetXPos(), mouse_event.GetYPos()});\n        handled = true;\n      }\n\n      if (mouse_event.GetAction() == vkoo::MouseAction::Up) {\n        state_ = State::Focused;\n        drag_hit_obj_ = nullptr;\n        sticky_infos_ = nullptr;\n        handled = true;\n      }\n    }\n  }\n\n  if (event.GetSource() == vkoo::EventSource::Keyboard) {\n    if (state_ == State::Focused) {\n      auto& key_event = static_cast<const vkoo::KeyInputEvent&>(event);\n      if (key_event.GetAction() == vkoo::KeyAction::Down &&\n          key_event.GetCode() == GLFW_KEY_LEFT_ALT) {\n        is_move_ = !is_move_;\n        AttachAxes();\n      }\n    }\n  }\n  return handled;\n}\n\nvoid CuboidEditingController::ComputeStickyCoordinates(int ax_id) {\n  sticky_infos_ = std::make_unique<std::vector<StickyInfo>>();\n  auto& polycube = global_controller_.GetGlobalState().GetPolycube();\n  int num_cuboids = polycube.GetCuboidCount();\n\n  for (int i = 0; i < num_cuboids; i++) {\n    auto& cuboid = polycube.GetCuboid(i);\n    if (&cuboid == focused_cuboid_) {\n      continue;\n    }\n\n    auto bound = cuboid.GetBound();\n\n    sticky_infos_->push_back({bound.first(ax_id), cuboid.GetFace(ax_id, -1)});\n    sticky_infos_->push_back({bound.second(ax_id), cuboid.GetFace(ax_id, 1)});\n  }\n}\n\nint CuboidEditingController::RetrieveStickyInfo(float position) {\n  int result = -1;\n  for (int i = 0; i < static_cast<int>(sticky_infos_->size()); i++) {\n    if (result == -1 ||\n        std::abs(sticky_infos_->at(i).coordinate - position) <\n            std::abs(sticky_infos_->at(result).coordinate - position)) {\n      result = i;\n    }\n  }\n  return result;\n}\n\nvoid CuboidEditingController::ResolveDrag(const glm::vec2& current_position) {\n  assert(drag_hit_obj_ != nullptr);\n  if (is_move_) {\n    ResolveDragMove(current_position);\n  } else {\n    ResolveDragStretch(current_position);\n  }\n}\n\nvoid CuboidEditingController::ResolveDragMove(\n    const glm::vec2& current_position) {\n  int ax_id = -1;\n  for (int i = 0; i < 3; i++) {\n    if (ax_node_ptrs_[i]->GetComponentPtr<vkoo::st::Tracing>() ==\n        drag_hit_obj_) {\n      ax_id = i;\n      break;\n    }\n  }\n  assert(ax_id != -1);\n  if (sticky_infos_ == nullptr) {\n    ComputeStickyCoordinates(ax_id);\n  }\n  auto ax = kAxes[ax_id];\n  float displacement = CalculateDisplacement(ax, current_position);\n\n  Vector3f new_center =\n      drag_start_cuboid_.center + kDragSensitivity * displacement * ax;\n\n  if (global_controller_.IsKeyPressed(GLFW_KEY_LEFT_CONTROL) ||\n      global_controller_.IsKeyPressed(GLFW_KEY_RIGHT_CONTROL)) {\n    float sticky_cost = std::numeric_limits<float>::max();\n    float perturbed_pos = new_center(ax_id);\n    int sticky_k = -1;\n    for (int s = -1; s <= 1; s += 2) {\n      float bound =\n          new_center(ax_id) + s * drag_start_cuboid_.halflengths(ax_id);\n      int k = RetrieveStickyInfo(bound);\n      if (k != -1) {\n        float coord = sticky_infos_->at(k).coordinate;\n        float cost = std::abs(bound - coord);\n        if (cost < sticky_cost) {\n          sticky_k = k;\n          sticky_cost = cost;\n          perturbed_pos = new_center(ax_id) - bound + coord;\n        }\n      }\n    }\n    if (sticky_cost < kStickyRadius) {\n      assert(sticky_k != -1);\n\n      new_center(ax_id) = perturbed_pos;\n      AttachHighlightNode(sticky_infos_->at(sticky_k).quads);\n    }\n  }\n  focused_cuboid_->center = new_center;\n  UpdateView();\n}\n\nvoid CuboidEditingController::AttachHighlightNode(\n    const std::vector<Vector3f>& quad) {\n  assert(sticky_highlight_node_);\n  assert(quad.size() == 4);\n\n  sticky_highlight_node_ = CreateStickyHighlightNode();  // FIXME\n  sticky_highlight_node_ptr_ = sticky_highlight_node_.get();\n\n  auto& mesh = *(sticky_highlight_node_->GetComponentPtr<vkoo::st::Mesh>());\n  auto& vbo = mesh.GetVertexObject();\n\n  std::vector<glm::vec3> positions;\n\n  for (int i = 0; i < 4; i++) {\n    positions.push_back({quad[i].x(), quad[i].y(), quad[i].z()});\n  }\n\n  // Normals don't matter for transparent objects.\n  vbo.Update(\"position\", positions);\n\n  // Add to root so the position is absolute.\n  global_controller_.GetScene().GetRoot().AddChild(\n      std::move(sticky_highlight_node_));\n}\n\nvoid CuboidEditingController::ResolveDragStretch(\n    const glm::vec2& current_position) {\n  int sign = -1;\n  int ax_id = -1;\n  for (int s = 0; s <= 1; s++) {\n    for (int i = 0; i < 3; i++) {\n      if (bi_ax_node_ptrs_[s][i]->GetComponentPtr<vkoo::st::Tracing>() ==\n          drag_hit_obj_) {\n        sign = s;\n        ax_id = i;\n        break;\n      }\n    }\n  }\n  assert(ax_id != -1);\n  if (sticky_infos_ == nullptr) {\n    ComputeStickyCoordinates(ax_id);\n  }\n  auto ax = kAxes[ax_id];\n  float displacement = CalculateDisplacement(ax, current_position);\n\n  auto new_bound = drag_start_cuboid_.GetBound();\n  if (sign == 0) {\n    // 0 corresponds to +.\n    new_bound.second += kDragSensitivity * displacement * ax;\n    if (new_bound.second(ax_id) < new_bound.first(ax_id)) {\n      new_bound.second(ax_id) = new_bound.first(ax_id);\n    }\n  } else {\n    new_bound.first += kDragSensitivity * displacement * ax;\n    if (new_bound.first(ax_id) > new_bound.second(ax_id)) {\n      new_bound.first(ax_id) = new_bound.second(ax_id);\n    }\n  }\n\n  if (global_controller_.IsKeyPressed(GLFW_KEY_LEFT_CONTROL) ||\n      global_controller_.IsKeyPressed(GLFW_KEY_RIGHT_CONTROL)) {\n    float* perturbed_ptr =\n        sign == 0 ? &new_bound.second(ax_id) : &new_bound.first(ax_id);\n    int sticky_k = -1;\n    float sticky_cost = std::numeric_limits<float>::max();\n    float perturbed_pos = *perturbed_ptr;\n    int k = RetrieveStickyInfo(perturbed_pos);\n    if (k != -1) {\n      float coord = sticky_infos_->at(k).coordinate;\n      float cost = std::abs(perturbed_pos - coord);\n      if (cost < sticky_cost) {\n        sticky_k = k;\n        sticky_cost = cost;\n        perturbed_pos = coord;\n      }\n    }\n    if (sticky_cost < kStickyRadius) {\n      assert(sticky_k != -1);\n\n      *perturbed_ptr = perturbed_pos;\n      AttachHighlightNode(sticky_infos_->at(sticky_k).quads);\n    }\n  }\n\n  // Prevent negative halflengths again.\n  if (sign == 0) {\n    if (new_bound.second(ax_id) < new_bound.first(ax_id)) {\n      new_bound.second(ax_id) = new_bound.first(ax_id);\n    }\n  } else {\n    if (new_bound.first(ax_id) > new_bound.second(ax_id)) {\n      new_bound.first(ax_id) = new_bound.second(ax_id);\n    }\n  }\n  focused_cuboid_->SetBound(new_bound.first, new_bound.second);\n  UpdateView();\n}\n\nfloat CuboidEditingController::CalculateDisplacement(\n    const Vector3f& ax, const glm::vec2& current_position) {\n  // Transform to screen space.\n  auto world_to_screen_mat = global_controller_.GetWorldToScreenMatrix();\n  auto origin_screen = world_to_screen_mat * glm::vec4{0.0f, 0.0f, 0.0f, 1.0f};\n  origin_screen /= origin_screen.w;\n  auto ax_screen =\n      world_to_screen_mat * glm::vec4{ax.x(), ax.y(), ax.z(), 1.0f};\n  ax_screen /= ax_screen.w;\n  auto mouse_delta = current_position - drag_start_position_;\n  mouse_delta = glm::vec2{mouse_delta.x, -mouse_delta.y};\n  float displacement =\n      glm::dot(mouse_delta, glm::normalize(ax_screen - origin_screen).xy());\n  return displacement;\n}\n\nvoid CuboidEditingController::Focus(CuboidNode& node, Cuboid& cuboid) {\n  focused_cuboid_ = &cuboid;\n  focused_node_ = &node;\n  focused_node_->AddChild(std::move(wrapper_node_));\n  is_move_ = true;  // default to move\n  AttachAxes();\n\n  state_ = State::Focused;\n}\n\nvoid CuboidEditingController::AttachAxes() {\n  if (is_move_) {\n    if (axes_node_ != nullptr) {\n      if (bi_axes_node_ == nullptr) {\n        bi_axes_node_ = wrapper_node_ptr_->RemoveChild(bi_axes_node_ptr_);\n      }\n      wrapper_node_ptr_->AddChild(std::move(axes_node_));\n    }\n  } else {\n    if (bi_axes_node_ != nullptr) {\n      if (axes_node_ == nullptr) {\n        axes_node_ = wrapper_node_ptr_->RemoveChild(axes_node_ptr_);\n      }\n      wrapper_node_ptr_->AddChild(std::move(bi_axes_node_));\n    }\n  }\n}\n\nvoid CuboidEditingController::Unfocus() {\n  if (focused_node_) {\n    wrapper_node_ = focused_node_->RemoveChild(wrapper_node_ptr_);\n    assert(wrapper_node_.get() == wrapper_node_ptr_);\n  }\n  focused_cuboid_ = nullptr;\n  focused_node_ = nullptr;\n  state_ = State::Idle;\n}\n\nCuboidEditingController::~CuboidEditingController() { Unfocus(); }\n\nvoid CuboidEditingController::DrawWindow(WindowState& window_state) {\n  if (focused_cuboid_ != nullptr && focused_node_ != nullptr) {\n    ImGui::SetNextWindowPos(ImVec2(800, 500), ImGuiCond_Once);\n    ImGui::SetNextWindowSize(ImVec2(300, 150), ImGuiCond_Once);\n    ImGui::Begin(\"Cuboid Editor\", nullptr,\n                 ImGuiWindowFlags_NoFocusOnAppearing | ImGuiWindowFlags_NoNav);\n    Vector3f center = focused_cuboid_->center;\n    Vector3f halflengths = focused_cuboid_->halflengths;\n    ImGui::SetNextItemWidth(200);\n    bool center_dragged = ImGui::DragFloat3(\"Center\", center.data(), 0.01f);\n    ImGui::SetNextItemWidth(200);\n    bool halflengths_dragged = ImGui::DragFloat3(\n        \"Halflengths\", halflengths.data(), 0.01f, 0.0f, FLT_MAX);\n\n    ImGui::Spacing();\n    if (is_subtraction_) {\n      {\n        ImGuiButtonColorGuard btn_cg{0.5f};\n        window_state.subtract_cuboid = ImGui::Button(\"Subtract\");\n      }\n    } else {\n      {\n        ImGuiButtonColorGuard btn_cg{0.f};\n        window_state.delete_cuboid = ImGui::Button(\"Delete\");\n      }\n      ImGui::SameLine();\n      {\n        ImGuiButtonColorGuard btn_cg{0.3f};\n        window_state.duplicate_cuboid = ImGui::Button(\"Duplicate\");\n      }\n      ImGui::SameLine();\n      {\n        ImGuiButtonColorGuard btn_cg{0.5f};\n        window_state.lock_cuboid =\n            ImGui::Button(window_state.lock_cuboid ? \"Unlock\" : \"Lock\");\n      }\n    }\n    ImGui::End();\n    bool updated = false;\n    if (center_dragged) {\n      focused_cuboid_->center = center;\n      updated = true;\n    }\n    if (halflengths_dragged) {\n      focused_cuboid_->halflengths = halflengths;\n      updated = true;\n    }\n    if (updated) {\n      UpdateView();\n    }\n  }\n}\n\nvoid CuboidEditingController::UpdateView() {\n  focused_node_->UpdateView(*focused_cuboid_);\n}\n\nCuboidEditingController::CuboidEditingController(\n    GlobalController& global_controller, bool is_subtraction)\n    : global_controller_{global_controller}, is_subtraction_{is_subtraction} {\n  // Build the axes node.\n  wrapper_node_ = std::make_unique<vkoo::st::Node>();\n  wrapper_node_ptr_ = wrapper_node_.get();\n\n  axes_materials_[0] = std::make_unique<vkoo::st::Material>();\n  axes_materials_[0]->colors[\"diffuse_color\"] =\n      glm::vec4{1.0f, 0.0f, 0.0f, 0.6f};\n  axes_materials_[1] = std::make_unique<vkoo::st::Material>();\n  axes_materials_[1]->colors[\"diffuse_color\"] =\n      glm::vec4{0.0f, 1.0f, 0.0f, 0.6f};\n  axes_materials_[2] = std::make_unique<vkoo::st::Material>();\n  axes_materials_[2]->colors[\"diffuse_color\"] =\n      glm::vec4{0.0f, 0.0f, 1.0f, 0.6f};\n\n  std::shared_ptr<vkoo::VertexObject> ax_vtx_obj =\n      vkoo::PrimitiveFactory::CreateCylinder(global_controller_.GetDevice(),\n                                             1.0f, 1.0f, 24);\n\n  axes_hittable_ = std::make_shared<vkoo::st::Cylinder>(1.0f, 1.0f);\n\n  // Build axes_node_.\n  axes_node_ = std::make_unique<vkoo::st::Node>();\n  axes_node_ptr_ = axes_node_.get();\n  for (int i = 0; i < 3; i++) {\n    auto ax_node = std::make_unique<vkoo::st::Node>();\n    auto& mesh = ax_node->CreateComponent<vkoo::st::Mesh>(\n        ax_vtx_obj, ax_vtx_obj->GetIndexCount());\n    mesh.SetMaterial(*axes_materials_[i]);\n    mesh.SetTransparent(true);\n    mesh.SetAllowDepthTesting(false);\n    ax_node->GetTransform().SetScale({kAxesRadius, 1.0f, 0.05f});\n    ax_node->CreateComponent<vkoo::st::Tracing>(axes_hittable_);\n\n    if (i == 0) {\n      ax_node->GetTransform().SetRotation({0.0f, 0.0f, -1.0f},\n                                          vkoo::kPi / 2.0f);\n    } else if (i == 2) {\n      ax_node->GetTransform().SetRotation({1.0f, 0.0f, 0.0f}, vkoo::kPi / 2.0f);\n    }\n    ax_node_ptrs_[i] = ax_node.get();\n    axes_node_->AddChild(std::move(ax_node));\n  }\n\n  // Build bi_axes_node_.\n  bi_axes_node_ = std::make_unique<vkoo::st::Node>();\n  bi_axes_node_ptr_ = bi_axes_node_.get();\n  for (int s = 0; s <= 1; s++)\n    for (int i = 0; i < 3; i++) {\n      auto ax_node = std::make_unique<vkoo::st::Node>();\n      auto& mesh = ax_node->CreateComponent<vkoo::st::Mesh>(\n          ax_vtx_obj, ax_vtx_obj->GetIndexCount());\n      mesh.SetMaterial(*axes_materials_[i]);\n      mesh.SetTransparent(true);\n      mesh.SetAllowDepthTesting(false);\n      ax_node->GetTransform().SetScale({kAxesRadius, 1.0f, 0.05f});\n      ax_node->CreateComponent<vkoo::st::Tracing>(axes_hittable_);\n\n      if (s == 0 && i == 0) {\n        ax_node->GetTransform().SetRotation({0.0f, 0.0f, -1.0f},\n                                            vkoo::kPi / 2.0f);\n      } else if (s == 0 && i == 1) {\n      } else if (s == 0 && i == 2) {\n        ax_node->GetTransform().SetRotation({1.0f, 0.0f, 0.0f},\n                                            vkoo::kPi / 2.0f);\n      } else if (s == 1 && i == 0) {\n        ax_node->GetTransform().SetRotation({0.0f, 0.0f, 1.0f},\n                                            vkoo::kPi / 2.0f);\n      } else if (s == 1 && i == 1) {\n        ax_node->GetTransform().SetRotation({1.0f, 0.0f, 0.0f}, vkoo::kPi);\n      } else if (s == 1 && i == 2) {\n        ax_node->GetTransform().SetRotation({-1.0f, 0.0f, 0.0f},\n                                            vkoo::kPi / 2.0f);\n      }\n      bi_ax_node_ptrs_[s][i] = ax_node.get();\n      bi_axes_node_->AddChild(std::move(ax_node));\n    }\n\n  wrapper_node_->GetTransform().SetScale(\n      {0.25f, 0.25f, 0.25f});  // TODO: better scaling scheme\n\n  sticky_highlight_node_ = CreateStickyHighlightNode();\n  sticky_highlight_node_ptr_ = sticky_highlight_node_.get();\n}\n\nstd::unique_ptr<vkoo::st::Node>\nCuboidEditingController::CreateStickyHighlightNode() {\n  sticky_highlight_material_ = std::make_unique<vkoo::st::Material>();\n  sticky_highlight_material_->colors[\"diffuse_color\"] =\n      glm::vec4{0.3f, 0.2f, 0.9f, 0.5f};\n\n  auto node = std::make_unique<vkoo::st::Node>();\n\n  std::shared_ptr<vkoo::VertexObject> vtx_obj =\n      vkoo::PrimitiveFactory::CreateQuad(global_controller_.GetDevice());\n  auto& mesh =\n      node->CreateComponent<vkoo::st::Mesh>(vtx_obj, vtx_obj->GetIndexCount());\n  mesh.SetMaterial(*sticky_highlight_material_);\n  mesh.SetTransparent(true);\n  mesh.SetAllowDepthTesting(false);\n  // TODO: double-facet.\n\n  return node;\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/controllers/CuboidEditingController.h",
    "content": "#pragma once\n\n#include \"models/Cuboid.h\"\n#include \"views/CuboidNode.h\"\n#include \"vkoo/core/InputEvent.h\"\n#include \"vkoo/st/Node.h\"\n#include \"vkoo/st/components/Tracing.h\"\n#include \"vkoo/st/hittables/Cylinder.h\"\n\nnamespace hex {\nclass GlobalController;\n\nclass CuboidEditingController {\n public:\n  enum class State { Idle, Focused, Dragged };\n\n  CuboidEditingController(GlobalController& global_controller,\n                          bool is_subtraction);\n  ~CuboidEditingController();\n  State GetState() const { return state_; }\n  bool HandleInputEvent(const vkoo::InputEvent& event);\n  void Focus(CuboidNode& node, Cuboid& cuboid);\n  void Unfocus();\n\n  struct WindowState {\n    bool delete_cuboid{false};\n    bool duplicate_cuboid{false};\n    bool subtract_cuboid{false};\n    bool lock_cuboid{false};\n  };\n  void DrawWindow(WindowState& window_state);\n\n private:\n  void UpdateView();\n  void ResolveDrag(const glm::vec2& current_position);\n  void ResolveDragMove(const glm::vec2& current_position);\n  void ResolveDragStretch(const glm::vec2& current_position);\n  void AttachAxes();\n  float CalculateDisplacement(const Vector3f& ax,\n                              const glm::vec2& current_position);\n  void ComputeStickyCoordinates(int ax_id);\n  int RetrieveStickyInfo(float position);\n  std::unique_ptr<vkoo::st::Node> CreateStickyHighlightNode();\n  void AttachHighlightNode(const std::vector<Vector3f>& quad);\n\n  State state_{State::Idle};\n  bool is_move_{true};\n\n  CuboidNode* focused_node_{nullptr};\n  Cuboid* focused_cuboid_{nullptr};\n\n  // Look-and-feel.\n  std::unique_ptr<vkoo::st::Material> axes_materials_[3];\n  std::unique_ptr<vkoo::st::Material> sticky_highlight_material_;\n\n  std::shared_ptr<vkoo::st::Cylinder> axes_hittable_;\n\n  // Nodes.\n  std::unique_ptr<vkoo::st::Node> wrapper_node_;\n  vkoo::st::Node* wrapper_node_ptr_{nullptr};\n\n  // ax_node_ is for drag-move, while bi_ax_node_ is for drag-stretch.\n  std::unique_ptr<vkoo::st::Node> axes_node_;\n  vkoo::st::Node* axes_node_ptr_{nullptr};\n  vkoo::st::Node* ax_node_ptrs_[3];\n  std::unique_ptr<vkoo::st::Node> bi_axes_node_;\n  vkoo::st::Node* bi_axes_node_ptr_{nullptr};\n  vkoo::st::Node* bi_ax_node_ptrs_[2][3];\n\n  glm::vec2 drag_start_position_;\n  Cuboid drag_start_cuboid_;\n  vkoo::st::Tracing* drag_hit_obj_{nullptr};\n\n  struct StickyInfo {\n    float coordinate;\n    std::vector<Vector3f> quads;\n  };\n\n  // Variables for sticky drag.\n  std::unique_ptr<std::vector<StickyInfo>> sticky_infos_;\n  std::unique_ptr<vkoo::st::Node> sticky_highlight_node_;\n  vkoo::st::Node* sticky_highlight_node_ptr_{nullptr};\n\n  GlobalController& global_controller_;\n  bool is_subtraction_;\n\n  const float kAxesRadius = 0.05f;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/controllers/GlobalController.cpp",
    "content": "#include \"GlobalController.h\"\n\n#include <exception>\n#include <filesystem>\n\n#include \"logging.h\"\n\n// clang-format off\n#include <imgui.h>\n#include \"utility/imfilebrowser.h\"\n// clang-format on\n\n#include <vkoo/st/components/Script.h>\n\n#include \"HexMeshingApp.h\"\n#include \"serialization/Serializer.h\"\n#include \"stages/DecompositionStage.h\"\n#include \"stages/DeformationStage.h\"\n#include \"stages/DiscretizationStage.h\"\n#include \"stages/HexahedralizationStage.h\"\n#include \"utility/PathManager.h\"\n#include \"vkoo/core/InputEvent.h\"\n\nnamespace fs = std::filesystem;\n\nnamespace hex {\nnamespace {\nImGui::FileBrowser gFileBrowser(ImGuiFileBrowserFlags_EnterNewFilename |\n                                ImGuiFileBrowserFlags_CreateNewDir);\n[[maybe_unused]] const int kDeformationStageId = 0;\n[[maybe_unused]] const int kDecompositionStageId = 1;\n[[maybe_unused]] const int kDiscretizationStageId = 2;\nconst int kHexahedralizationStageId = 3;\n}  // namespace\n\nGlobalController::GlobalController(HexMeshingApp& app, uint32_t window_width,\n                                   uint32_t window_height)\n    : app_{app},\n      device_{app.GetDevice()},\n      scene_{app.GetScene()},\n      shortcut_controller_{*this},\n      window_width_{window_width},\n      window_height_{window_height} {\n  global_state_ = std::make_unique<GlobalState>();\n  InitArcBallCamera();\n  RebuildViewsAndStages();\n}\n\nGlobalController::~GlobalController() {\n  // When this is called, scene has not been destructed yet.\n\n  // First destruct all stages, since they might hold scene nodes attached to\n  // views.\n  deformation_stage_.reset();\n  decomposition_stage_.reset();\n  discretization_stage_.reset();\n  hexahedralization_stage_.reset();\n\n  // Next destruct global view and state.\n  global_view_.reset();\n  global_state_.reset();\n}\n\nvoid GlobalController::RebuildStages() {\n  deformation_stage_ = std::make_unique<DeformationStage>(*this);\n  decomposition_stage_ = std::make_unique<DecompositionStage>(*this);\n  discretization_stage_ = std::make_unique<DiscretizationStage>(*this);\n  hexahedralization_stage_ = std::make_unique<HexahedralizationStage>(*this);\n\n  stages_.clear();\n\n  stages_.push_back(deformation_stage_.get());\n  stages_.push_back(decomposition_stage_.get());\n  stages_.push_back(discretization_stage_.get());\n  stages_.push_back(hexahedralization_stage_.get());\n\n  current_stage_idx_ = 0;\n}\n\nDeformationStage& GlobalController::GetDeformationStage() {\n  return *deformation_stage_;\n}\n\nDecompositionStage& GlobalController::GetDecompositionStage() {\n  return *decomposition_stage_;\n}\n\nDiscretizationStage& GlobalController::GetDiscretizationStage() {\n  return *discretization_stage_;\n}\n\nHexahedralizationStage& GlobalController::GetHexahedralizationStage() {\n  return *hexahedralization_stage_;\n}\n\nvoid GlobalController::ResetHexahedralizationStage() {\n  hexahedralization_stage_ = std::make_unique<HexahedralizationStage>(*this);\n  stages_[kHexahedralizationStageId] = hexahedralization_stage_.get();\n}\n\nvoid GlobalController::RebuildViewsAndStages() {\n  // This will rebuild all views and controllers given global_state_;\n  RebuildStages();\n  global_view_ = std::make_unique<GlobalView>(device_, scene_);\n  global_view_->UpdateAllViews(*global_state_);\n  model_name_.clear();\n  project_name_.clear();\n}\n\nvoid GlobalController::DrawMainMenuBar() {\n  static std::string file_op;\n  if (ImGui::BeginMainMenuBar()) {\n    if (ImGui::BeginMenu(\"File\")) {\n      if (ImGui::MenuItem(\"New\")) {\n        global_state_ = std::make_unique<GlobalState>();\n        RebuildViewsAndStages();\n      }\n      if (ImGui::MenuItem(\"Open\")) {\n        if (!last_visited_path_.empty()) {\n          gFileBrowser.SetPwd(last_visited_path_);\n        } else {\n          gFileBrowser.SetPwd(PathManager::GetWorkspacePath());\n        }\n        gFileBrowser.Open();\n        file_op = \"open\";\n      }\n      if (ImGui::MenuItem(\"Save\")) {\n        if (!last_visited_path_.empty()) {\n          gFileBrowser.SetPwd(last_visited_path_);\n        } else {\n          gFileBrowser.SetPwd(PathManager::GetWorkspacePath());\n        }\n        gFileBrowser.Open();\n        if (!project_name_.empty()) {\n          gFileBrowser.SetInputBuf(project_name_);\n        } else if (!model_name_.empty()) {\n          gFileBrowser.SetInputBuf(model_name_);\n        }\n        file_op = \"save\";\n      }\n      ImGui::Separator();\n      if (ImGui::MenuItem(\"Import\")) {\n        gFileBrowser.SetPwd(PathManager::GetImportPath());\n        gFileBrowser.Open();\n        file_op = \"import\";\n      }\n      if (ImGui::MenuItem(\"Export\", nullptr, false,\n                          global_state_->HasResultMesh())) {\n        gFileBrowser.SetPwd(PathManager::GetWorkspacePath());\n        gFileBrowser.Open();\n        if (!model_name_.empty()) {\n          gFileBrowser.SetInputBuf(model_name_ + \".mesh\");\n        }\n        file_op = \"export\";\n      }\n\n      if (IsExpertMode()) {\n        if (ImGui::MenuItem(\"Import Hex Mesh\")) {\n          if (!last_visited_path_.empty()) {\n            gFileBrowser.SetPwd(last_visited_path_);\n          } else {\n            gFileBrowser.SetPwd(PathManager::GetWorkspacePath());\n          }\n          gFileBrowser.Open();\n          file_op = \"import_hex\";\n        }\n      }\n\n      ImGui::EndMenu();\n    }\n    if (ImGui::BeginMenu(\"Options\")) {\n      DrawRenderingOptions();\n      ImGui::Separator();\n      ImGui::Checkbox(\"Expert Mode\", &app_.GetSettings().expert_mode);\n      if (ImGui::MenuItem(\"Load Settings\")) {\n        if (!last_visited_path_.empty()) {\n          gFileBrowser.SetPwd(last_visited_path_);\n        } else {\n          gFileBrowser.SetPwd(PathManager::GetWorkspacePath());\n        }\n        gFileBrowser.Open();\n        file_op = \"load_settings\";\n      }\n      if (ImGui::MenuItem(\"Save Settings\")) {\n        if (!last_visited_path_.empty()) {\n          gFileBrowser.SetPwd(last_visited_path_);\n        } else {\n          gFileBrowser.SetPwd(PathManager::GetWorkspacePath());\n        }\n        gFileBrowser.Open();\n        file_op = \"save_settings\";\n      }\n      ImGui::EndMenu();\n    }\n    ImGui::EndMainMenuBar();\n  }\n\n  gFileBrowser.Display();\n  if (!file_op.empty() && gFileBrowser.HasSelected()) {\n    auto selected_file = gFileBrowser.GetSelected().string();\n#ifdef NDEBUG\n    try {\n#endif\n      if (file_op == \"open\") {\n        global_state_ = GlobalState::LoadFromFile(selected_file);\n        RebuildViewsAndStages();\n        project_name_ = fs::path(selected_file).filename().string();\n        last_visited_path_ = fs::path(selected_file).parent_path();\n      } else if (file_op == \"save\") {\n        global_state_->SaveToFile(selected_file);\n        last_visited_path_ = fs::path(selected_file).parent_path();\n      } else if (file_op == \"import\") {\n        global_state_ = std::make_unique<GlobalState>();\n        RebuildViewsAndStages();\n        LoadTargetMesh(selected_file);\n        model_name_ = fs::path(selected_file).stem().string();\n      } else if (file_op == \"import_hex\") {\n        LoadResultMesh(selected_file);\n      } else if (file_op == \"export\") {\n        ExportTargetComplex(selected_file);\n      } else if (file_op == \"load_settings\") {\n        app_.ReloadSettings(selected_file);\n      } else if (file_op == \"save_settings\") {\n        app_.SaveSettings(selected_file);\n      } else {\n        LOGW(\"Unknown file op: {}\", file_op);\n      }\n#ifdef NDEBUG\n    } catch (...) {\n      LOGW(\"Unknown exception thrown during I/O!\");\n    }\n#endif\n    gFileBrowser.ClearSelected();\n    file_op = \"\";\n  }\n}\n\nvoid GlobalController::SwitchStage(int new_stage_idx) {\n  if (stages_[new_stage_idx]->CanSwitchTo()) {\n    stages_[current_stage_idx_]->SwitchFrom();\n    stages_[new_stage_idx]->SwitchTo();\n    current_stage_idx_ = new_stage_idx;\n  }\n}\n\nvoid GlobalController::SwitchStage(PipelineStage& stage) {\n  auto it = std::find(stages_.begin(), stages_.end(), &stage);\n  if (it != stages_.end()) {\n    SwitchStage(std::distance(stages_.begin(), it));\n  }\n}\n\nvoid GlobalController::DrawNavigationWindow() {\n  ImGui::SetNextWindowPos(ImVec2(0, 100), ImGuiCond_Once);\n  ImGui::SetNextWindowSize(ImVec2(200, 500), ImGuiCond_Once);\n\n  ImGui::Begin(\"Navigation\");\n\n  ImGui::SetNextTreeNodeOpen(true, ImGuiCond_Once);\n  if (ImGui::TreeNode(\"Stages\")) {\n    int tmp_stage_idx = current_stage_idx_;\n    for (int i = 0; i < static_cast<int>(stages_.size()); i++) {\n      if (ImGui::RadioButton(stages_[i]->GetName().c_str(), &tmp_stage_idx,\n                             i)) {\n        SwitchStage(tmp_stage_idx);\n        break;\n      }\n    }\n    ImGui::TreePop();\n    ImGui::Spacing();\n  }\n\n  ImGui::SetNextTreeNodeOpen(true, ImGuiCond_Once);\n  if (ImGui::TreeNode(\"Visibility\")) {\n    global_view_->DrawNodeVisibilityGui(IsKeyPressed(GLFW_KEY_LEFT_SHIFT));\n    ImGui::TreePop();\n    ImGui::Spacing();\n  }\n\n  ImGui::End();\n}\n\nvoid GlobalController::DrawGui() {\n  if (app_.GetSettings().show_demo) {\n    ImGui::ShowDemoWindow();\n  }\n  // return;\n\n  DrawMainMenuBar();\n  DrawNavigationWindow();\n  DrawStageWindow();\n  if (app_.GetSettings().show_advanced) {\n    DrawAdvancedWindow();\n  }\n}\n\nvoid GlobalController::DrawAdvancedWindow() {\n  ImGui::Begin(\"Advanced\");\n  ImGui::Text(\"%.1f FPS\", ImGui::GetIO().Framerate);\n\n  ImGui::SetNextItemWidth(120);\n  ImGui::InputInt(\"FPS limit\", &app_.GetSettings().fps_limit);\n  ImGui::End();\n}\n\nvoid GlobalController::DrawStageWindow() {\n  if (current_stage_idx_ != -1) {\n    ImGui::SetNextWindowPos(ImVec2(window_width_, 100), ImGuiCond_Once,\n                            ImVec2(1.0f, 0.0f));\n\n    ImGui::SetNextWindowSize(ImVec2(400, 600), ImGuiCond_Once);\n    stages_[current_stage_idx_]->DrawStageWindow();\n  }\n}\n\nvoid GlobalController::LoadTargetMesh(const std::string& file_path) {\n  auto extension = fs::path(file_path).extension();\n  if (extension != \".mesh\" && extension != \".vtk\") {\n    LOGW(\"Cannot load a non-volumetric mesh {}!\", file_path);\n    return;\n  }\n  auto tet_mesh = std::make_unique<TetrahedralMesh>(file_path);\n\n  {\n    // TODO HACK: normalize the model.\n    Eigen::MatrixXf vertices = tet_mesh->GetVertices();\n    Vector3f bbox_min = vertices.colwise().minCoeff();\n    Vector3f bbox_max = vertices.colwise().maxCoeff();\n    Vector3f side_length = bbox_max - bbox_min;\n    float max_length = side_length.maxCoeff();\n    Vector3f center = (bbox_min + bbox_max) / 2;\n\n    for (int i = 0; i < vertices.rows(); i++) {\n      for (int j = 0; j < vertices.cols(); j++) {\n        vertices(i, j) = (vertices(i, j) - center(j)) / (max_length / 2);\n      }\n    }\n    tet_mesh->FixTetsOrientation();\n    tet_mesh = std::make_unique<TetrahedralMesh>(vertices, tet_mesh->GetTets());\n\n    global_state_->SetFloat(\"input_scale\", max_length);\n    global_state_->SetMatrixXf(\"input_center\", center);\n    LOGI(\"calculated input_center: ({}, {}, {})\", center.x(), center.y(),\n         center.z());\n  }\n\n  global_state_->SetTargetVolumeMesh(std::move(tet_mesh));\n  global_view_->UpdateInputMeshView(*global_state_);\n  global_view_->SetVisibility(GlobalView::VisibilityInputMesh);\n}\n\nvoid GlobalController::LoadResultMesh(const std::string& file_path) {\n  auto extension = fs::path(file_path).extension();\n  if (extension != \".mesh\") {\n    LOGW(\"Cannot load a non-volumetric mesh {}!\", file_path);\n    return;\n  }\n  auto hex_mesh = std::make_unique<HexahedralMesh>(file_path);\n\n  global_state_->SetResultMesh(std::move(hex_mesh));\n  global_view_->UpdateFilteredHexView(*global_state_, FilteringSetting{});\n}\n\nvoid GlobalController::ExportTargetComplex(const std::string& selected_file) {\n  if (!global_state_->HasResultMesh()) {\n    LOGW(\"Cannot save result mesh if it does not exist!\");\n    return;\n  }\n\n  std::function<Vector3f(Vector3f)> vertex_map = [](Vector3f v) { return v; };\n\n  if (not app_.GetSettings().export_unit_scale &&\n      global_state_->HasFloat(\"input_scale\") &&\n      global_state_->HasMatrixXf(\"input_center\")) {\n    float input_scale = global_state_->GetFloat(\"input_scale\");\n    auto input_center_mat = global_state_->GetMatrixXf(\"input_center\");\n    Vector3f input_center = Eigen::Map<Vector3f>(input_center_mat.data(), 3);\n    vertex_map = [=](Vector3f v) -> Vector3f {  // don't omit return type here!\n      return v * (input_scale / 2) + input_center;\n    };\n  }\n  Serializer::SaveHexMesh(global_state_->GetResultMesh(), selected_file,\n                          vertex_map);\n}\n\nbool GlobalController::HandleInputEvent(const vkoo::InputEvent& event) {\n  // Handle a couple of backdoor shortcuts.\n  if (event.GetSource() == vkoo::EventSource::Keyboard) {\n    auto& key_event = static_cast<const vkoo::KeyInputEvent&>(event);\n    if (key_event.GetAction() == vkoo::KeyAction::Down) {\n      auto code = key_event.GetCode();\n      if (code == GLFW_KEY_F12) {\n        app_.GetSettings().show_advanced ^= 1;\n      } else if (code == GLFW_KEY_F11) {\n        app_.GetSettings().show_demo ^= 1;\n      } else if (code == GLFW_KEY_F10) {\n        app_.SaveScreenshot(\"screenshot.png\");\n      } else if (code == GLFW_KEY_F9) {\n        app_.GetSettings().show_gui ^= 1;\n      }\n    }\n  }\n  if (current_stage_idx_ == -1 ||\n      !stages_[current_stage_idx_]->HandleInputEvent(event)) {\n    bool handled = arc_ball_camera_script_->HandleInputEvent(event);\n    if (handled) {\n      UpdateCameraSettings();\n    }\n    return handled;\n  }\n  return false;\n}\n\nvoid GlobalController::UpdateCameraSettings() {\n  auto& spec = app_.GetSettings().camera;\n  spec.position = arc_ball_camera_script_->GetPosition();\n  spec.anchor = arc_ball_camera_script_->GetAnchor();\n  spec.up_direction = arc_ball_camera_script_->GetUpDirection();\n}\n\nbool GlobalController::IsExpertMode() const {\n  return app_.GetSettings().expert_mode;\n}\n\nvoid GlobalController::InitArcBallCamera() {\n  auto& camera_spec = app_.GetSettings().camera;\n  arc_ball_camera_script_ = std::make_unique<vkoo::st::ArcBallCameraScript>(\n      *scene_.GetActiveCameraPtr(), camera_spec.position, camera_spec.anchor,\n      camera_spec.up_direction, true);\n  arc_ball_camera_script_->UpdateViewMatrix();\n}\n\nvoid GlobalController::OnWindowResize(uint32_t width, uint32_t height) {\n  window_width_ = width;\n  window_height_ = height;\n  arc_ball_camera_script_->OnWindowResize(width, height);\n}\n\nvoid GlobalController::Update(float delta_time) {\n  if (current_stage_idx_ != -1) {\n    stages_[current_stage_idx_]->Update(delta_time);\n  }\n}\n\nGlobalState& GlobalController::GetGlobalState() { return *global_state_; }\n\nGlobalView& GlobalController::GetGlobalView() { return *global_view_; }\n\nRay GlobalController::ShootRayAtMousePosition(float x_pos, float y_pos) {\n  // Make (0, 0) the bottom left.\n  y_pos = window_height_ - y_pos;\n\n  // Rescale to [-1, 1].\n  x_pos = x_pos / window_width_ * 2.0f - 1.0f;\n  y_pos = y_pos / window_height_ * 2.0f - 1.0f;\n\n  vkoo::st::Ray ray{{x_pos, y_pos, 0}, {0, 0, 1}};\n  auto& camera = *scene_.GetActiveCameraPtr();\n  glm::mat4 proj_view_mat =\n      camera.GetProjectionMatrix() * camera.GetViewMatrix();\n  ray.ApplyTransform(glm::inverse(proj_view_mat));\n  ray.SetDirection(glm::normalize(ray.GetDirection()));\n  return Ray(ray);\n}\n\nglm::mat4 GlobalController::GetWorldToScreenMatrix() const {\n  auto& camera = *scene_.GetActiveCameraPtr();\n  return camera.GetProjectionMatrix() * camera.GetViewMatrix();\n}\n\nbool GlobalController::IsKeyPressed(int keycode) {\n  return app_.IsKeyPressed(keycode);\n}\n\nvoid GlobalController::GetMousePosition(float& x_pos, float& y_pos) {\n  app_.GetMousePosition(x_pos, y_pos);\n}\n\nvoid GlobalController::DrawRenderingOptions() {\n  {\n    // People have different convention than mine, so invert this.\n    ImGui::Checkbox(\"Reverse Camera\",\n                    &arc_ball_camera_script_->GetReversedRef());\n  }\n  auto& settings = app_.GetSettings();\n\n  bool need_update = false;\n  if (ImGui::Checkbox(\"MSAA\", &settings.msaa_on)) {\n    need_update = true;\n  }\n  if (ImGui::Checkbox(\"SSAO\", &settings.ssao_on)) {\n    need_update = true;\n  }\n  if (ImGui::Checkbox(\"Export unit scale\", &settings.export_unit_scale)) {\n    need_update = true;\n  }\n\n  if (need_update) {\n    app_.UpdatePipelines();\n  }\n}\n\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/controllers/GlobalController.h",
    "content": "#pragma once\n\n#include <vkoo/st/hittables/Ray.h>\n#include <vkoo/st/scripts/ArcBallCameraScript.h>\n\n#include \"ShortcutController.h\"\n#include \"models/GlobalState.h\"\n#include \"models/Ray.h\"\n#include \"stages/DecompositionStage.h\"\n#include \"stages/DeformationStage.h\"\n#include \"stages/DiscretizationStage.h\"\n#include \"stages/HexahedralizationStage.h\"\n#include \"views/GlobalView.h\"\n\nnamespace hex {\nclass HexMeshingApp;\n\nclass GlobalController {\n public:\n  GlobalController(HexMeshingApp& app, uint32_t window_width,\n                   uint32_t window_height);\n  ~GlobalController();\n  bool HandleInputEvent(const vkoo::InputEvent& event);\n  void OnWindowResize(uint32_t width, uint32_t height);\n  void Update(float delta_time);\n  void DrawGui();\n  GlobalState& GetGlobalState();\n  GlobalView& GetGlobalView();\n  vkoo::Device& GetDevice() { return device_; }\n  vkoo::st::Scene& GetScene() { return scene_; }\n  bool IsExpertMode() const;\n\n  DeformationStage& GetDeformationStage();\n  DecompositionStage& GetDecompositionStage();\n  DiscretizationStage& GetDiscretizationStage();\n  HexahedralizationStage& GetHexahedralizationStage();\n  void ResetHexahedralizationStage();\n\n  void SwitchStage(PipelineStage& stage);\n  void SwitchStage(int new_stage_idx);\n\n  // Utility functions that might be refactored to another place.\n  Ray ShootRayAtMousePosition(float x_pos, float y_pos);\n  glm::mat4 GetWorldToScreenMatrix() const;\n  bool IsKeyPressed(int keycode);\n  void GetMousePosition(float& x_pos, float& y_pos);\n\n  void LoadTargetMesh(const std::string& file_path);\n  void LoadResultMesh(const std::string& file_path);\n  void ExportTargetComplex(const std::string& selected_file);\n\n  void UpdateCameraSettings();\n  void InitArcBallCamera();\n\n private:\n  void RebuildStages();\n  // Gui related.\n  void DrawMainMenuBar();\n  void DrawNavigationWindow();\n  void DrawStageWindow();\n  void DrawRenderingOptions();\n  void DrawAdvancedWindow();\n\n  void RebuildViewsAndStages();\n\n  HexMeshingApp& app_;\n  vkoo::Device& device_;\n  vkoo::st::Scene& scene_;\n\n  std::unique_ptr<DeformationStage> deformation_stage_;\n  std::unique_ptr<DecompositionStage> decomposition_stage_;\n  std::unique_ptr<DiscretizationStage> discretization_stage_;\n  std::unique_ptr<HexahedralizationStage> hexahedralization_stage_;\n\n  std::vector<PipelineStage*> stages_;\n  int current_stage_idx_{0};\n  ShortcutController shortcut_controller_;\n\n  std::unique_ptr<GlobalState> global_state_;\n  std::unique_ptr<GlobalView> global_view_;\n\n  uint32_t window_width_;\n  uint32_t window_height_;\n\n  std::unique_ptr<vkoo::st::ArcBallCameraScript> arc_ball_camera_script_;\n  std::string model_name_;\n  std::string project_name_;\n  std::string last_visited_path_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/controllers/ShortcutController.cpp",
    "content": "#include \"ShortcutController.h\"\n\n#include <imgui.h>\n\n#include <random>\n\n#include \"GlobalController.h\"\n#include \"logging.h\"\n#include \"optim/LargestCuboidSolver.h\"\n#include \"utility/StopWatch.h\"\n\nnamespace hex {\nnamespace {\nvoid TestLargestCuboid() {\n  /* int occ_raw[] = {1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1,\n   * 0, */\n  /*                  1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1,\n   * 1}; */\n  /* Array3D<int> occ(2, 4, 5); // answer should be 8 */\n\n  std::default_random_engine gen(\n      std::chrono::system_clock().now().time_since_epoch().count());\n  std::uniform_int_distribution<int> dis(0, 1);\n  Array3D<int> occ(64, 64, 64);\n  for (int i = 0; i < occ.GetDim(0); i++)\n    for (int j = 0; j < occ.GetDim(1); j++)\n      for (int k = 0; k < occ.GetDim(2); k++) {\n        occ(i, j, k) = dis(gen);\n      }\n\n  StopWatch watch;\n  watch.Tic();\n  Vector3i cl, cr;\n  int max_volume;\n  LargestCuboidSolver(occ).Solve(cl, cr, max_volume);\n  LOGI(\"Largest cuboid has corner at ({},{},{})-({},{},{}) with volume {}\",\n       cl.x(), cl.y(), cl.z(), cr.x(), cr.y(), cr.z(), max_volume);\n  LOGI(\"Took {} sec(s)\", watch.Toc().count());\n\n  /*\n  Vector3i gold_cl, gold_cr;\n  int gold_max_volume;\n  LargestCuboidSolver(occ).SolveBruteForce(gold_cl, gold_cr, gold_max_volume);\n\n  LOGI(\n      \"(Gold) Largest cuboid has corner at ({},{},{})-({},{},{}) with volume \"\n      \"{}\",\n      gold_cl.x(), gold_cl.y(), gold_cl.z(), gold_cr.x(), gold_cr.y(),\n      gold_cr.z(), gold_max_volume);\n\n  assert(gold_max_volume == max_volume);\n  */\n}\n}  // namespace\nShortcutController::ShortcutController(GlobalController& global_controller) {}\n\nvoid ShortcutController::DrawMenu() {\n  if (ImGui::MenuItem(\"Test Largest Cuboid\")) {\n    TestLargestCuboid();\n  }\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/controllers/ShortcutController.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\nnamespace hex {\nclass GlobalController;\nclass ShortcutController {\n public:\n  ShortcutController(GlobalController& global_controller);\n  void DrawMenu();\n\n private:\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/controllers/stages/DecompositionStage.cpp",
    "content": "#include <GLFW/glfw3.h>\n#include <imgui.h>\n#include <vkoo/st/components/Tracing.h>\n\n#include \"DecompositionStage.h\"\n#include \"controllers/GlobalController.h\"\n#include \"logging.h\"\n#include \"utility/ImGuiEx.h\"\n#include \"vkoo/core/InputEvent.h\"\n\nnamespace hex {\nnamespace {\nconst float kDuplicateOffset = 0.01f;\nconst float kEps = 1e-8f;\n\nbool IsCuboidBoundsEmpty(const std::pair<Vector3f, Vector3f>& bounds) {\n  return !(bounds.first(0) + kEps < bounds.second(0) &&\n           bounds.first(1) + kEps < bounds.second(1) &&\n           bounds.first(2) + kEps < bounds.second(2));\n}\n}  // namespace\nDecompositionStage::DecompositionStage(GlobalController& global_controller)\n    : PipelineStage(global_controller, GlobalView::VisibilityDeformedMesh),\n      cuboid_editing_controller_{global_controller, false} {\n  polycube_optimizer_ =\n      std::make_unique<PolycubeOptimizer>(PolycubeOptimizer::Options());\n}\n\nvoid DecompositionStage::DrawStageWindow() {\n  if (!polycube_optimizer_->IsIdle()) {\n    return;\n  }\n  ImGui::SetNextWindowSize(ImVec2(400, 400), ImGuiCond_Once);\n  ImGui::Begin(\"Decomposition\");\n  DrawAnchorsSdfChildWindow();\n  DrawPolycubeControlChildWindow();\n  ImGui::End();\n\n  if (cuboid_editing_controller_.GetState() !=\n      CuboidEditingController::State::Idle) {\n    CuboidEditingController::WindowState cuboid_state;\n    auto& polycube_info = global_controller_.GetGlobalState().GetPolycubeInfo();\n    cuboid_state.lock_cuboid = polycube_info.locked.at(focused_cuboid_index_);\n    cuboid_editing_controller_.DrawWindow(cuboid_state);\n    if (cuboid_state.lock_cuboid) {\n      // This means the button is pressed, so toggle.\n      polycube_info.ToggleLock(focused_cuboid_index_);\n    }\n\n    if (cuboid_state.delete_cuboid) {\n      assert(focused_cuboid_index_ != -1);\n      DeleteCuboid(focused_cuboid_index_);\n    } else if (cuboid_state.duplicate_cuboid) {\n      assert(focused_cuboid_index_ != -1);\n      DuplicateCuboid(focused_cuboid_index_);\n    }\n  } else if (subtract_editing_controller_) {\n    assert(subtract_editing_controller_->GetState() !=\n           CuboidEditingController::State::Idle);\n    CuboidEditingController::WindowState cuboid_state;\n    subtract_editing_controller_->DrawWindow(cuboid_state);\n    if (cuboid_state.subtract_cuboid) {\n      PerformSubtraction();\n    }\n  }\n  DrawPolycubeInfoWindow();\n}\n\nvoid DecompositionStage::DrawPolycubeInfoWindow() {\n  if (!global_controller_.GetGlobalState().HasPolycube() ||\n      global_controller_.GetGlobalState().GetPolycube().GetCuboidCount() == 0) {\n    return;\n  }\n\n  ImGui::SetNextWindowPos(ImVec2{100, 400}, ImGuiCond_Once);\n  ImGui::SetNextWindowSize(ImVec2{250, 240}, ImGuiCond_Once);\n  ImGui::Begin(\"Polycube Info\");\n\n  auto& global_state = global_controller_.GetGlobalState();\n  auto& polycube_info = global_state.GetPolycubeInfo();\n\n  if (ImGui::Button(\"Up\")) {\n    if (focused_cuboid_index_ != -1) {\n      polycube_info.MoveItem(focused_cuboid_index_, -1);\n    }\n  }\n  ImGui::SameLine();\n  if (ImGui::Button(\"Down\")) {\n    if (focused_cuboid_index_ != -1) {\n      polycube_info.MoveItem(focused_cuboid_index_, 1);\n    }\n  }\n  ImGui::SameLine();\n  if (ImGui::Button(\"Lock/Unlock\")) {\n    if (focused_cuboid_index_ != -1) {\n      polycube_info.ToggleLock(focused_cuboid_index_);\n    }\n  }\n  ImGui::SameLine();\n  ImGuiHelpMarker(\"Lock a cuboid to prevent it from being optimized.\");\n\n  ImGui::BeginChild(\"CuboidList\", ImVec2{0, 0}, true);\n  for (int i = 0; i < polycube_info.names.size(); i++) {\n    ImGui::PushID(i);\n    int j = polycube_info.ordering[i];\n    bool clicked = ImGui::SelectableInput(\n        \"entry\", j == focused_cuboid_index_, ImGuiSelectableFlags_None,\n        polycube_info.names[j].buf, IM_ARRAYSIZE(polycube_info.names[j].buf));\n    ImGui::SameLine(200);\n    ImGui::Text(\"%s\", polycube_info.locked[j] ? \"L\" : \" \");\n    if (clicked && j != focused_cuboid_index_) {\n      FocusCuboid(j);\n    }\n    ImGui::PopID();\n  }\n  ImGui::EndChild();\n  ImGui::End();\n}\n\nbool DecompositionStage::CanSwitchTo() {\n  auto& global_state = global_controller_.GetGlobalState();\n  if (!global_state.HasDeformedVolumeMesh()) {\n    LOGW(\n        \"Deformed mesh is required for cuboid \"\n        \"decomposition stage!\");\n    return false;\n  }\n  return true;\n}\n\nvoid DecompositionStage::SwitchTo() { PipelineStage::SwitchTo(); }\n\nvoid DecompositionStage::Update([[maybe_unused]] float delta_time) {\n  if (polycube_optimizer_->GetStatus() == PolycubeOptimizer::Status::Running ||\n      polycube_optimizer_->GetStatus() ==\n          PolycubeOptimizer::Status::Completed) {\n    auto& global_state = global_controller_.GetGlobalState();\n    global_state.SetPolycube(\n        std::make_unique<Polycube>(polycube_optimizer_->GetSnapshot()));\n\n    auto& polycube_view = global_controller_.GetGlobalView().GetPolycubeView();\n    polycube_view.Update(global_state.GetPolycube(),\n                         global_state.GetPolycubeInfo());\n\n    if (polycube_optimizer_->GetStatus() ==\n        PolycubeOptimizer::Status::Completed) {\n      polycube_optimizer_->SetIdle();\n    }\n  }\n}\n\nvoid DecompositionStage::Reoptimize(size_t num_steps) {\n  UnfocusCuboid();\n\n  auto& deformed_mesh =\n      global_controller_.GetGlobalState().GetDeformedVolumeMesh();\n  auto& global_state = global_controller_.GetGlobalState();\n  auto& polycube = global_state.GetPolycube();\n  auto& polycube_info = global_state.GetPolycubeInfo();\n  opt_thread_ = std::thread([&, num_steps]() {\n    polycube_optimizer_->Optimize(deformed_mesh, polycube, num_steps,\n                                  polycube_info.locked);\n  });\n}\n\nvoid DecompositionStage::SuggestNewCuboid(\n    PolycubeOptimizer::SuggestStrategy strategy) {\n  UnfocusCuboid();\n\n  auto& deformed_mesh =\n      global_controller_.GetGlobalState().GetDeformedVolumeMesh();\n  auto& polycube = global_controller_.GetGlobalState().GetPolycube();\n  Cuboid new_cuboid;\n  bool success = polycube_optimizer_->SuggestNewCuboid(deformed_mesh, polycube,\n                                                       strategy, new_cuboid);\n  if (success) {\n    AddNewCuboid(new_cuboid);\n  } else {\n    LOGI(\"Failed to suggest a new cuboid!\");\n  }\n}\n\nvoid DecompositionStage::AddNewCuboid(const Cuboid& cuboid) {\n  auto& global_state = global_controller_.GetGlobalState();\n  if (!global_state.HasPolycube()) {\n    LOGW(\"You must initialize the polycube first!\");\n    return;\n  }\n\n  assert(global_state.CheckPolycubeConsistency());\n  auto& polycube = global_state.GetPolycube();\n  polycube.AddCuboid(cuboid);\n\n  auto& polycube_info = global_state.GetPolycubeInfo();\n  polycube_info.Push();\n\n  auto& polycube_view = global_controller_.GetGlobalView().GetPolycubeView();\n  polycube_view.AddCuboid(cuboid);\n\n  FocusCuboid(polycube.GetCuboidCount() - 1);\n}\n\nvoid DecompositionStage::DuplicateCuboid(int i) {\n  auto& global_state = global_controller_.GetGlobalState();\n  auto& polycube = global_state.GetPolycube();\n\n  Cuboid cuboid = polycube.GetCuboid(i);\n  // Add in slight offset.\n  cuboid.center += kDuplicateOffset * Vector3f::Ones();\n  AddNewCuboid(cuboid);\n}\n\nvoid DecompositionStage::DeleteCuboid(int i) {\n  if (i == focused_cuboid_index_) {\n    UnfocusCuboid();\n  }\n  auto& global_state = global_controller_.GetGlobalState();\n\n  auto& polycube = global_state.GetPolycube();\n  polycube.DeleteCuboid(i);\n\n  auto& polycube_info = global_state.GetPolycubeInfo();\n  polycube_info.Delete(i);\n\n  auto& polycube_view = global_controller_.GetGlobalView().GetPolycubeView();\n  polycube_view.DeleteCuboid(i);\n}\n\nvoid DecompositionStage::ResetPolycube() {\n  UnfocusCuboid();\n  global_controller_.GetGlobalState().SetPolycube(std::make_unique<Polycube>());\n  global_controller_.GetGlobalState().SetPolycubeInfo(\n      std::make_unique<PolycubeInfo>());\n  global_controller_.GetGlobalView().UpdatePolycubeView(\n      global_controller_.GetGlobalState());\n  global_controller_.GetGlobalView().SetVisibility(\n      GlobalView::VisibilityDeformedMesh | GlobalView::VisibilityDecomposition);\n}\n\nbool DecompositionStage::HandleInputEvent(const vkoo::InputEvent& event) {\n  if (!polycube_optimizer_->IsIdle()) {\n    return false;\n  }\n  bool handled = false;\n  if (cuboid_editing_controller_.GetState() !=\n      CuboidEditingController::State::Idle) {\n    handled = cuboid_editing_controller_.HandleInputEvent(event);\n  } else if (subtract_editing_controller_ != nullptr) {\n    handled = subtract_editing_controller_->HandleInputEvent(event);\n  } else {\n    if (event.GetSource() == vkoo::EventSource::Mouse) {\n      auto& mouse_event =\n          static_cast<const vkoo::MouseButtonInputEvent&>(event);\n\n      // Ray in world space.\n      vkoo::st::Ray world_ray =\n          global_controller_\n              .ShootRayAtMousePosition(mouse_event.GetXPos(),\n                                       mouse_event.GetYPos())\n              .ToGlm();\n\n      auto traceables = global_controller_.GetScene()\n                            .GetRoot()\n                            .GetComponentsRecursive<vkoo::st::Tracing>(true);\n      vkoo::st::HitRecord hit_record{};\n      vkoo::st::Tracing* hit_obj = nullptr;\n      for (auto traceable : traceables) {\n        vkoo::st::Ray local_ray = world_ray;\n        local_ray.ApplyTransform(\n            traceable->GetNode()->GetTransform().GetWorldToLocalMatrix());\n        if (traceable->GetHittable().Intersect(local_ray, hit_record)) {\n          hit_obj = traceable;\n        }\n      }\n\n      if (hit_obj != nullptr) {\n        auto& cuboid_nodes = global_controller_.GetGlobalView()\n                                 .GetPolycubeView()\n                                 .GetCuboidNodes();\n        // Check if hit object is a cuboid.\n        auto it = std::find(cuboid_nodes.begin(), cuboid_nodes.end(),\n                            hit_obj->GetNode());\n        if (it != cuboid_nodes.end()) {\n          if (mouse_event.GetAction() == vkoo::MouseAction::Down &&\n              mouse_event.GetButton() == vkoo::MouseButton::Left) {\n            FocusCuboid(std::distance(cuboid_nodes.begin(), it));\n            handled = true;\n          }\n        } else {\n          // If anything other than a cuboid is hit, then treat as if not\n          // hit.\n          hit_obj = nullptr;\n        }\n      }\n    }\n  }\n  if (event.GetSource() == vkoo::EventSource::Keyboard) {\n    auto& key_event = static_cast<const vkoo::KeyInputEvent&>(event);\n    if (key_event.GetAction() == vkoo::KeyAction::Down) {\n      if (key_event.GetCode() == GLFW_KEY_ESCAPE) {\n        UnfocusCuboid();\n      } else if (key_event.GetCode() == GLFW_KEY_BACKSPACE) {\n        if (focused_cuboid_index_ != -1) {\n          DeleteCuboid(focused_cuboid_index_);\n          assert(cuboid_editing_controller_.GetState() ==\n                 CuboidEditingController::State::Idle);\n        }\n      } else if (key_event.GetCode() == GLFW_KEY_L) {\n        if (focused_cuboid_index_ != -1) {\n          auto& polycube_info =\n              global_controller_.GetGlobalState().GetPolycubeInfo();\n          polycube_info.ToggleLock(focused_cuboid_index_);\n        }\n      }\n    }\n  }\n  return handled;\n}\n\nvoid DecompositionStage::FocusCuboid(int id) {\n  if (focused_cuboid_index_ != -1) {\n    UnfocusCuboid();\n  }\n\n  focused_cuboid_index_ = id;\n  auto& cuboid_node =\n      global_controller_.GetGlobalView().GetPolycubeView().GetCuboidNode(id);\n  cuboid_node.UpdateMode(CuboidNode::Mode::Focused);\n  cuboid_editing_controller_.Focus(\n      cuboid_node,\n      global_controller_.GetGlobalState().GetPolycube().GetCuboid(id));\n\n  global_controller_.GetGlobalView().AddVisibility(\n      GlobalView::VisibilityDecomposition);\n}\n\nvoid DecompositionStage::UnfocusCuboid() {\n  if (opt_thread_.joinable()) {\n    opt_thread_.join();\n  }\n\n  if (subtract_editing_controller_) {\n    subtract_editing_controller_.reset();  // destructor unfocuses automatically\n\n    // Note: deletion of tmp cuboid must happen before calling the destructor of\n    // subtract_editing_controller_!\n    global_controller_.GetGlobalView().GetPolycubeView().DeleteTmpCuboid();\n  }\n\n  if (focused_cuboid_index_ == -1) {\n    return;\n  }\n  cuboid_editing_controller_.Unfocus();\n  auto& cuboid_node =\n      global_controller_.GetGlobalView().GetPolycubeView().GetCuboidNode(\n          focused_cuboid_index_);\n  bool locked = global_controller_.GetGlobalState().GetPolycubeInfo().locked.at(\n      focused_cuboid_index_);\n  cuboid_node.UpdateMode(locked ? CuboidNode::Mode::Locked\n                                : CuboidNode::Mode::Free);\n  focused_cuboid_index_ = -1;\n}\n\nDecompositionStage::~DecompositionStage() {\n  CuboidNode::Cleanup();  // TODO: fix this\n  if (opt_thread_.joinable()) {\n    polycube_optimizer_->Stop();\n    opt_thread_.join();\n  }\n}\n\nvoid DecompositionStage::SwitchFrom() {\n  PipelineStage::SwitchFrom();\n  if (opt_thread_.joinable()) {\n    polycube_optimizer_->Stop();\n    opt_thread_.join();\n  }\n  UnfocusCuboid();\n}\n\nvoid DecompositionStage::CreateSdfAndAnchors() {\n  LOGI(\"Creating anchors and sdf for the deformed mesh...\");\n  auto& global_state = global_controller_.GetGlobalState();\n  if (!global_state.HasDeformedVolumeMesh()) {\n    LOGW(\"Cannot create anchors and sdfs without a deformed mesh!\");\n    return;\n  }\n  // Note: order matters here; otherwise distance field will be built on a\n  // different set of anchors due to randomness!\n  global_state.GetDeformedVolumeMesh().CreateAnchors(\n      anchors_options_.grid_size, anchors_options_.inside_only,\n      anchors_options_.bbox_padding, anchors_options_.surface_samples,\n      anchors_options_.perturbation);\n  global_state.GetDeformedVolumeMesh().CreateDistanceField();\n\n  global_controller_.GetGlobalView().UpdateAnchorsView(global_state);\n  global_controller_.GetGlobalView().SetVisibility(\n      GlobalView::VisibilityDeformedMesh | GlobalView::VisibilityAnchors);\n}\n\nvoid DecompositionStage::DrawAnchorsSdfChildWindow() {\n  ImGuiTreeNodeWithTooltip(\n      \"Anchors creation parameters\", ImGuiTreeNodeFlags_None,\n      \"Change how anchors are created. Anchors are the set of points that we \"\n      \"discretize the signed distance field on with respect to a shape (input \"\n      \"mesh or polycube).\"\n      \"A larger number will lead to slower computation time, but more \"\n      \"accurate approximation of the distance field.\",\n      [&] {\n        ImGui::SetNextItemWidth(80);\n        {\n          ImGuiFrameColorGuard frame_cg{5.0f / 7.0f};\n          ImGui::DragInt(\"grid size\", &anchors_options_.grid_size, 1, 4, 64,\n                         \"%d\");\n        }\n        ImGui::SameLine();\n        ImGuiHelpMarker(\"Size of the uniform grid used as anchors.\");\n        ImGui::SameLine();\n        ImGui::SetNextItemWidth(80);\n        {\n          ImGui::Checkbox(\"inside only\", &anchors_options_.inside_only);\n          ImGui::SameLine();\n          ImGuiHelpMarker(\"Whether to create uniform grid inside the mesh.\");\n        }\n        ImGui::SetNextItemWidth(80);\n        {\n          ImGuiFrameColorGuard frame_cg{4.0f / 7.0f};\n          ImGui::DragFloat(\"bbox padding\", &anchors_options_.bbox_padding,\n                           1e-3f, 0.0f, 0.5f, \"%.3f\");\n          ImGui::SameLine();\n          ImGuiHelpMarker(\n              \"How much padding to add when creating the uniform grid \"\n              \"anchors.\");\n        }\n        ImGui::SetNextItemWidth(80);\n        {\n          ImGuiFrameColorGuard frame_cg{4.0f / 7.0f};\n          ImGui::DragInt(\"surface samples\", &anchors_options_.surface_samples,\n                         1, 1, 100, \"%d\");\n          ImGui::SameLine();\n          ImGuiHelpMarker(\n              \"A multiple of this many surface points will be included in the \"\n              \"anchors with random jittering.\");\n        }\n        ImGui::SameLine();\n        ImGui::SetNextItemWidth(80);\n        {\n          ImGuiFrameColorGuard frame_cg{4.0f / 7.0f};\n          ImGui::DragFloat(\"jitter\", &anchors_options_.perturbation, 1e-3f,\n                           0.0f, 0.5f, \"%.3f\");\n          ImGui::SameLine();\n          ImGuiHelpMarker(\"How much do we perturb surface points?\");\n        }\n      });\n  if (ImGui::Button(\"Create anchors and signed distance fields\")) {\n    CreateSdfAndAnchors();\n  }\n  ImGui::SameLine();\n  ImGuiHelpMarker(\n      \"Create anchors with prescribed parameters, and compute signed \"\n      \"distance field with respect to the input shape.\");\n}\n\nvoid DecompositionStage::DrawPolycubeControlChildWindow() {\n  DrawPolycubeOptimizerTreeNode();\n  DrawPolycubeManipulationTreeNode();\n}\n\nvoid DecompositionStage::DrawPolycubeManipulationTreeNode() {\n  if (ImGui::TreeNodeEx(\"Polycube manipulation\",\n                        ImGuiTreeNodeFlags_DefaultOpen)) {\n    ImGui::SetNextItemWidth(100);\n    {\n      ImGuiButtonColorGuard cg{0.05f};\n      if (ImGui::Button(\"Init/Reset polycube\")) {\n        ResetPolycube();\n      }\n    }\n    ImGui::SameLine();\n    ImGuiHelpMarker(\n        \"Initialize/reset an empty polycube. You must initialize a polycube \"\n        \"before \"\n        \"adding cuboids!\\nWARNING: this will remove all existing cuboids, so \"\n        \"save your progress first.\");\n\n    if (global_controller_.GetGlobalState().HasPolycube()) {\n      {\n        const char* suggest_strat_strs[] = {\"distance-based\", \"volume-based\"};\n        const char* suggest_tooltips[] = {\n            \"Put a cuboid at a point uncovered by any cuboid that is furthest \"\n            \"away \"\n            \"from any cuboid.\",\n            \"Create a cuboid that has largest volume while being inside the \"\n            \"input \"\n            \"mesh and outside of any existing cuboid.\"};\n        static int item_current = 0;\n        if (ImGui::Button(\"Add a new cuboid\")) {\n          PolycubeOptimizer::SuggestStrategy strat;\n          if (item_current == 0) {\n            strat = PolycubeOptimizer::SuggestStrategy::Simple;\n          } else {\n            strat = PolycubeOptimizer::SuggestStrategy::Largest;\n          }\n          SuggestNewCuboid(strat);\n        }\n        ImGui::SameLine();\n        ImGuiHelpMarker(\n            \"Add a new cuboid according to the strategy specified on the \"\n            \"right.\");\n        ImGui::SameLine();\n        ImGui::SetNextItemWidth(140);\n        {\n          const char* combo_label = suggest_strat_strs[item_current];\n          if (ImGui::BeginCombo(\"strategy\", combo_label,\n                                ImGuiComboFlags_None)) {\n            for (int n = 0; n < IM_ARRAYSIZE(suggest_strat_strs); n++) {\n              const bool is_selected = (item_current == n);\n              if (ImGui::Selectable(suggest_strat_strs[n], is_selected)) {\n                item_current = n;\n              }\n\n              if (is_selected) ImGui::SetItemDefaultFocus();\n              ImGuiHoveredTooltip(suggest_tooltips[n]);\n            }\n            ImGui::EndCombo();\n          }\n        }\n      }\n      if (global_controller_.GetGlobalState().GetPolycube().GetCuboidCount() >\n          0) {\n        if (ImGui::Button(\"Subtract a cuboid\")) {\n          StartSubtractCuboid();\n        }\n        ImGui::SameLine();\n        ImGuiHelpMarker(\n            \"Subtract a cuboid from the polycube. This may break up each \"\n            \"intersecting cuboid into up to 8 new cuboids.\");\n      }\n\n      if (global_controller_.GetGlobalState().GetPolycube().GetCuboidCount() >\n          0) {\n        bool pressed = ImGui::Button(\"Reoptimize\");\n        ImGui::SameLine();\n        ImGuiHelpMarker(\n            \"Optimize all unlocked cuboids' parameters jointly. You can choose \"\n            \"to lock a cuboid to prevent its parameters from being changed.\");\n        ImGui::SameLine();\n        ImGui::SetNextItemWidth(120);\n        if (ImGui::InputInt(\"steps\", &reoptimize_steps_)) {\n          if (reoptimize_steps_ < 0) {\n            reoptimize_steps_ = 0;\n          }\n        }\n\n        if (pressed) {\n          Reoptimize(reoptimize_steps_);\n        }\n      }\n    }\n    ImGui::TreePop();\n  }\n}\n\nvoid DecompositionStage::DrawPolycubeOptimizerTreeNode() {\n  ImGuiTreeNodeWithTooltip(\n      \"Coverage parameters\", ImGuiTreeNodeFlags_DefaultOpen,\n      \"Tweak how much to penalize over/under coverage of input shape by \"\n      \"cuboids.\",\n      [&] {\n        ImGui::SetNextItemWidth(70);\n        {\n          ImGuiFrameColorGuard frame_cg{4.5f / 7.0f};\n          ImGui::DragFloat(\"+ weight\", &options_.positive_l2_weight, 1e-3f,\n                           0.0f, 1.0f, \"%.3f\");\n        }\n        ImGui::SameLine();\n        ImGuiHelpMarker(\n            \"Weight of the positive part of the l2 loss (i.e. integration over \"\n            \"the positive sdf region of input shape); higher value \"\n            \"disencourages over-coverage of the input shape by cuboids.\");\n        ImGui::SameLine();\n        ImGui::SetNextItemWidth(70);\n        {\n          ImGuiFrameColorGuard frame_cg{6.5f / 7.0f};\n          ImGui::DragFloat(\"- weight\", &options_.negative_l2_weight, 1e-3f,\n                           0.0f, 1.0f, \"%.3f\");\n        }\n\n        ImGui::SameLine();\n        ImGuiHelpMarker(\n            \"Weight of the negative part of the l2 loss (i.e. integration over \"\n            \"the positive sdf region of input shape)(i.e. integration over the \"\n            \"negative sdf region of input shape); higher value \"\n            \"disencourages under-coverage of the input shape by cuboids.\");\n      });\n\n  DrawOptimizerOptionsNode(options_.learning_rate, options_.adam_betas,\n                           &options_.snapshot_freq);\n  if (ImGui::Button(\"Init/Reset optimizer\")) {\n    polycube_optimizer_ = std::make_unique<PolycubeOptimizer>(options_);\n  }\n  ImGui::SameLine();\n  ImGuiHelpMarker(\"Recreate optimizer to use the prescribed parameters.\");\n}\n\nvoid DecompositionStage::StartSubtractCuboid() {\n  UnfocusCuboid();\n  auto& deformed_mesh =\n      global_controller_.GetGlobalState().GetDeformedVolumeMesh();\n  auto& polycube = global_controller_.GetGlobalState().GetPolycube();\n  subtract_cuboid_ = std::make_unique<Cuboid>();\n  bool success = polycube_optimizer_->SuggestSubtractCuboid(\n      deformed_mesh, polycube, *subtract_cuboid_);\n  if (success) {\n    subtract_editing_controller_ =\n        std::make_unique<CuboidEditingController>(global_controller_, true);\n    auto& polycube_view = global_controller_.GetGlobalView().GetPolycubeView();\n    polycube_view.CreateTmpCuboid(*subtract_cuboid_);\n    auto& cuboid_node = polycube_view.GetTmpCuboidNode();\n    cuboid_node.UpdateMode(CuboidNode::Mode::Subtract);\n    subtract_editing_controller_->Focus(cuboid_node, *subtract_cuboid_);\n  } else {\n    LOGI(\n        \"Failed to subtract cuboid: likely the polycube is contained entirely \"\n        \"inside the input mesh!\");\n  }\n}\n\nvoid DecompositionStage::PerformSubtraction() {\n  LOGI(\"Perform subtraction!\");\n\n  UnfocusCuboid();\n\n  auto subtract_bounds = subtract_cuboid_->GetBound();\n  subtract_cuboid_.reset();\n\n  auto& global_state = global_controller_.GetGlobalState();\n  assert(global_state.HasPolycube());\n\n  auto& polycube = global_state.GetPolycube();\n  auto& polycube_info = global_state.GetPolycubeInfo();\n  auto& polycube_view = global_controller_.GetGlobalView().GetPolycubeView();\n\n  size_t n = polycube.GetCuboidCount();\n\n  struct ChangeEntry {\n    int index;\n    std::string name;\n    std::vector<Cuboid> split_cuboids;\n  };\n\n  std::vector<ChangeEntry> change_list;\n  for (size_t i = 0; i < n; i++) {\n    auto& cuboid = polycube.GetCuboid(i);\n\n    auto bounds = cuboid.GetBound();\n    auto intersection = subtract_bounds;\n    intersection.first = intersection.first.cwiseMax(bounds.first);\n    intersection.second = intersection.second.cwiseMin(bounds.second);\n\n    if (IsCuboidBoundsEmpty(intersection)) {\n      continue;  // only add non-empty ones to change list\n    }\n\n    ChangeEntry entry;\n    entry.index = i;\n    entry.name = polycube_info.names[i].ToString();\n    // Create a most 6 non-disjoint cuboids for bounds minus intersection.\n    for (int k = 0; k < 3; k++) {\n      for (int t = 0; t <= 1; t++) {\n        auto new_bounds = bounds;\n\n        if (t == 0) {\n          new_bounds.second(k) = intersection.first(k);\n        } else {\n          new_bounds.first(k) = intersection.second(k);\n        }\n        if (!IsCuboidBoundsEmpty(new_bounds)) {\n          entry.split_cuboids.emplace_back(\n              Cuboid::FromBounds(new_bounds.first, new_bounds.second));\n        }\n      }\n    }\n    change_list.push_back(entry);\n  }\n\n  LOGI(\"Applying {} subtraction changes ...\", change_list.size());\n  // Now apply changes to polycube, polycube info, and polycube view.\n  // For loop must be in reverse order to guarantee correctness!\n  for (int j = static_cast<int>(change_list.size()) - 1; j >= 0; j--) {\n    auto& entry = change_list[j];\n    int i = entry.index;\n    int old_pos = polycube_info.GetPosition(i);\n    polycube.DeleteCuboid(i);\n    polycube_info.Delete(i);\n    polycube_view.DeleteCuboid(i);\n\n    int move_delta = static_cast<int>(polycube_info.ordering.size()) - old_pos;\n    int count = 0;\n    for (auto& cuboid : entry.split_cuboids) {\n      polycube.AddCuboid(cuboid);\n      polycube_view.AddCuboid(cuboid);\n      polycube_info.Push(fmt::format(\"[split #{}] {}\", count, entry.name));\n      polycube_info.MoveItem(polycube.GetCuboidCount() - 1, -move_delta);\n      count++;\n    }\n  }\n}\n}  // namespace hex\n// namespace hex\n"
  },
  {
    "path": "hex/src/controllers/stages/DecompositionStage.h",
    "content": "#pragma once\n\n#include \"optim/PolycubeOptimizer.h\"\n\n#include \"PipelineStage.h\"\n#include \"controllers/CuboidEditingController.h\"\n#include \"models/TetrahedralMesh.h\"\n#include \"views/CuboidNode.h\"\n\nnamespace hex {\nclass DecompositionStage : public PipelineStage {\n public:\n  DecompositionStage(GlobalController& global_controller);\n  ~DecompositionStage();\n  std::string GetName() const override { return \"Decomposition\"; }\n  void Update(float delta_time) override;\n  void DrawStageWindow() override;\n  bool CanSwitchTo() override;\n  void SwitchTo() override;\n  void SwitchFrom() override;\n  bool HandleInputEvent(const vkoo::InputEvent& event) override;\n\n  void EstimateScale(const TetrahedralMesh& mesh);\n  void ResetPolycube();\n  void AddNewCuboid(const Cuboid& cuboid);\n  void DuplicateCuboid(int i);\n  void DeleteCuboid(int i);\n  void Reoptimize(size_t num_steps);\n  void SuggestNewCuboid(PolycubeOptimizer::SuggestStrategy strategy);\n\n  void FocusCuboid(int i);\n  void UnfocusCuboid();\n\n private:\n  void CreateSdfAndAnchors();\n\n  void StartSubtractCuboid();\n  void PerformSubtraction();\n\n  void DrawAnchorsSdfChildWindow();\n  void DrawPolycubeControlChildWindow();\n  void DrawPolycubeInfoWindow();\n  void DrawPolycubeOptimizerTreeNode();\n  void DrawPolycubeManipulationTreeNode();\n\n  std::unique_ptr<PolycubeOptimizer>\n      polycube_optimizer_;\n  std::thread opt_thread_;\n\n  int focused_cuboid_index_{-1};\n  CuboidEditingController cuboid_editing_controller_;\n  std::unique_ptr<CuboidEditingController> subtract_editing_controller_;\n  std::unique_ptr<Cuboid> subtract_cuboid_;\n\n  int reoptimize_steps_{1000};\n  PolycubeOptimizer::Options options_;\n\n  struct {\n    int grid_size{24};\n    bool inside_only{false};\n    float bbox_padding{0.2f};\n    int surface_samples{20000};\n    float perturbation{0.10f};\n  } anchors_options_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/controllers/stages/DeformationStage.cpp",
    "content": "#include <imgui.h>\n\n#include \"DeformationStage.h\"\n#include \"controllers/GlobalController.h\"\n#include \"logging.h\"\n#include \"utility/ImGuiEx.h\"\n\nnamespace hex {\nDeformationStage::DeformationStage(GlobalController& global_controller)\n    : PipelineStage(global_controller) {}\n\nvoid DeformationStage::DrawStageWindow() {\n  ImGui::SetNextWindowSize(ImVec2(400, 360), ImGuiCond_Once);\n  ImGui::Begin(\"Deformation\");\n  bool pressed;\n\n  ImGui::PushItemWidth(50);\n  pressed = ImGui::Button(\"Init/Reset deformed mesh\");\n  ImGui::SameLine();\n  ImGuiHelpMarker(\n      \"Initialize or reset the deformed mesh to be the same as the input \"\n      \"mesh. This must be pressed first after loading a tetrahedral mesh.\");\n  if (pressed) {\n    InitDeformedMesh();\n  }\n  ImGui::PopItemWidth();\n\n  DrawDistortionEnergyChildWindow(distortion_options_, false, false);\n\n  ImGuiTreeNodeWithTooltip(\n      \"L1 energy parameters\", ImGuiTreeNodeFlags_DefaultOpen,\n      \"These parameters control how close the deformed shape resemble an \"\n      \"axis-aligned polycube.\",\n      [&] {\n        ImGui::SetNextItemWidth(80);\n        {\n          ImGuiFrameColorGuard frame_cg{5.0f / 7.0f};\n          ImGui::DragFloat(\"cubeness\", &deformer_options_.cubeness_weight,\n                           1e-2f, 0.0f, 100.0f, \"%.2f\");\n        }\n        ImGui::SameLine();\n        ImGuiHelpMarker(\n            \"This measures how much we want each face normal to be \"\n            \"axis-aligned.\");\n        ImGui::SameLine();\n        ImGui::SetNextItemWidth(80);\n        {\n          ImGuiFrameColorGuard frame_cg{6.0f / 7.0f};\n          ImGui::DragFloat(\"smoothness\", &deformer_options_.smoothness_weight,\n                           1e-3f, 0.0f, 1.0f, \"%.3f\");\n          ImGui::SameLine();\n          ImGuiHelpMarker(\n              \"This measures how well smooth normals on neighboring faces need \"\n              \"to \"\n              \"be.\");\n        }\n\n        if (global_controller_.IsExpertMode()) {\n          ImGui::SetNextItemWidth(120);\n\n          static bool is_logarithm = true;\n          {\n            ImGuiFrameColorGuard frame_cg{0.0f / 7.0f};\n            ImGui::DragFloat(\"eps\", &deformer_options_.norm_eps, 3e-4f, 1e-6f,\n                             1.0f, \"%.6f\",\n                             is_logarithm ? ImGuiSliderFlags_Logarithmic\n                                          : ImGuiSliderFlags_None);\n          }\n          ImGui::SameLine();\n          ImGuiHelpMarker(\n              \"This is the regularization constant used to give a smoothed \"\n              \"version of l1 loss. \");\n\n          ImGui::SameLine();\n          ImGui::Checkbox(\"log-scale\", &is_logarithm);\n          ImGui::SameLine();\n          ImGuiHelpMarker(\n              \"Determines Whether dragging eps will change its value in log \"\n              \"scale \"\n              \"(recommended) \"\n              \"or not.\");\n        }\n      });\n\n  DrawOptimizerOptionsNode(deformer_options_.learning_rate,\n                           deformer_options_.adam_betas, nullptr);\n\n  pressed = ImGui::Button(\"Init/Reset optimizer\");\n  ImGui::SameLine();\n  ImGuiHelpMarker(\n      \"Create a new deformation optimizer based on the current set of \"\n      \"parameters. If an optimizer has been created already, it will be \"\n      \"overriden and all previous optimizer state (e.g. momentum of gradients) \"\n      \"will be lost, which may or may not be the desired outcome.\");\n  if (pressed) {\n    PrepareVolumetricDeformation();\n  }\n\n  if (cubic_volumetric_deformer_) {\n    pressed = ImGui::Button(\"Reoptimize\");\n    ImGui::SameLine();\n    ImGuiHelpMarker(\n        \"Reoptimize for a given number of steps. This will block the program \"\n        \"until finish.\");\n    ImGui::SameLine();\n    ImGui::SetNextItemWidth(100);\n    if (ImGui::InputInt(\"steps\", &reopt_steps_)) {\n      if (reopt_steps_ < 0) {\n        reopt_steps_ = 0;\n      }\n    }\n    if (pressed) {\n      Reoptimize(reopt_steps_);\n    }\n  }\n\n  ImGui::End();\n}\n\nvoid DeformationStage::InitDeformedMesh() {\n  auto& global_state = global_controller_.GetGlobalState();\n  if (!global_state.HasTargetVolumeMesh()) {\n    LOGW(\"Target volume mesh must exist before initializing deformed mesh!\");\n    return;\n  }\n\n  auto deformed_volume_mesh = std::make_unique<TetrahedralMesh>(\n      global_state.GetTargetVolumeMesh().GetVertices(),\n      global_state.GetTargetVolumeMesh().GetTets());\n  global_state.SetDeformedVolumeMesh(std::move(deformed_volume_mesh));\n\n  UpdateDeformationViews();\n}\n\nvoid DeformationStage::PrepareVolumetricDeformation() {\n  auto& global_state = global_controller_.GetGlobalState();\n  if (!global_state.HasTargetVolumeMesh()) {\n    LOGW(\n        \"Cannot perform volumetric cubic deformation if target has no volume \"\n        \"mesh!\");\n    return;\n  }\n\n  if (!global_state.HasDeformedVolumeMesh()) {\n    InitDeformedMesh();\n  }\n\n  cubic_volumetric_deformer_ = std::make_unique<CubicVolumetricDeformer>(\n      global_state.GetTargetVolumeMesh(), global_state.GetDeformedVolumeMesh(),\n      distortion_options_, deformer_options_);\n}\n\nvoid DeformationStage::Reoptimize(size_t num_steps) {\n  if (cubic_volumetric_deformer_) {\n    auto& global_state = global_controller_.GetGlobalState();\n    cubic_volumetric_deformer_->Optimize(num_steps);\n\n    // Recreate the whole tetrahedral mesh.\n    auto deformed_volume_mesh = std::make_unique<TetrahedralMesh>(\n        cubic_volumetric_deformer_->GetOptimizedPositions(),\n        global_state.GetTargetVolumeMesh().GetTets());\n    global_state.SetDeformedVolumeMesh(std::move(deformed_volume_mesh));\n  }\n\n  UpdateDeformationViews();\n}\n\nvoid DeformationStage::UpdateDeformationViews() {\n  auto& global_state = global_controller_.GetGlobalState();\n  global_controller_.GetGlobalView().UpdateDeformedMeshView(global_state);\n  global_controller_.GetGlobalView().SetVisibility(\n      GlobalView::VisibilityDeformedMesh);\n}\n\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/controllers/stages/DeformationStage.h",
    "content": "#pragma once\n\n#include \"PipelineStage.h\"\n#include \"optim/CubicVolumetricDeformer.h\"\n\nnamespace hex {\nclass DeformationStage : public PipelineStage {\n public:\n  DeformationStage(GlobalController& global_controller);\n  std::string GetName() const override { return \"Deformation\"; }\n  void DrawStageWindow() override;\n  void PrepareVolumetricDeformation();\n  void Reoptimize(size_t num_steps);\n\n private:\n  void UpdateDeformationViews();\n  void InitDeformedMesh();\n\n  std::unique_ptr<CubicVolumetricDeformer> cubic_volumetric_deformer_;\n\n  int reopt_steps_{100};\n  DistortionOptions distortion_options_;\n  CubicVolumetricDeformer::Options deformer_options_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/controllers/stages/DiscretizationStage.cpp",
    "content": "#include \"DiscretizationStage.h\"\n\n#include <imgui.h>\n#include <models/PolycubeGraph.h>\n\n#include \"GLFW/glfw3.h\"\n#include \"controllers/GlobalController.h\"\n#include \"logging.h\"\n#include \"utility/ImGuiEx.h\"\n#include \"utility/StopWatch.h\"\n#include \"vkoo/core/InputEvent.h\"\n\nnamespace hex {\nnamespace {\nconst glm::vec4 kDiggingHexColor = {0.8f, 0.2f, 0.1f, 0.3f};\nconst glm::vec4 kExtrusionHexColor = {0.2f, 0.8f, 0.2f, 0.3f};\n}\nDiscretizationStage::DiscretizationStage(GlobalController& global_controller)\n    : PipelineStage(global_controller, GlobalView::VisibilityDecomposition) {}\n\nvoid hex::DiscretizationStage::DrawStageWindow() {\n  ImGui::SetNextWindowSize(ImVec2{300, 200}, ImGuiCond_Once);\n  ImGui::Begin(\"Discretization\");\n\n  ImGui::SetNextItemWidth(100);\n  {\n    ImGuiFrameColorGuard frame_cg{2.0f / 7.0f};\n    ImGui::DragFloat(\"hex size\", &hex_size_, 0.001f, 0.01f, FLT_MAX, \"%.3f\");\n  }\n  ImGui::SameLine();\n  ImGuiHelpMarker(\n      \"Edge length of a hex element in the discretized polycube. Smaller value \"\n      \"leads to greater number of hexes.\");\n\n  ImGui::SameLine();\n  ImGui::Checkbox(\"round\", &round_to_nearest_);\n  ImGui::SameLine();\n  ImGuiHelpMarker(\n      \"Whether to round to nearest integer during discretization. If not, each \"\n      \"cuboid will be expanded.\");\n\n  bool pressed = ImGui::Button(\"Discretize\");\n  ImGui::SameLine();\n  ImGuiHelpMarker(\"Discretize the polycube with given hex element size.\");\n  if (pressed) {\n    DiscretizePolycube();\n  }\n  ImGui::SameLine();\n  ImGui::Checkbox(\"colored\", &color_by_patch_);\n  ImGui::SameLine();\n  ImGuiHelpMarker(\n      \"Show each patch using a color corresponding to its orientation.\");\n\n  if (current_graph_) {\n    {\n      if (ImGui::RadioButton(\"Dig\", mode_ == 0)) {\n        mode_ = 0;\n      };\n      ImGui::SameLine();\n      if (ImGui::RadioButton(\"Extrude\", mode_ == 1)) {\n        mode_ = 1;\n      };\n      ImGui::SameLine();\n      ImGuiHelpMarker(\n          \"Edit the polycube by holding LEFT-SHIFT and click and drag on the \"\n          \"surface. Dig mode will destroy existing hexes while Extrude mode \"\n          \"will add a new layer of hexes.\\n You can press Z to toggle as a \"\n          \"shortcut.\\n You may additionally hold LEFT-CTRL to edit an entire \"\n          \"patch.\");\n    }\n\n    pressed = ImGui::Button(\"Finalize polycube\");\n    ImGui::SameLine();\n    ImGuiHelpMarker(\n        \"Build a hex mesh for the polycube that will later be mapped to the \"\n        \"input mesh's surface.\");\n    ImGui::SameLine();\n    ImGui::Checkbox(\"padding\", &padding_);\n    ImGui::SameLine();\n    ImGuiHelpMarker(\n        \"Determine whether to add an extra layer of global padding. This can \"\n        \"improve final mesh quality in many instances.\");\n\n    if (pressed) {\n      FinalizePolycube();\n    }\n  }\n  ImGui::End();\n}\n\nbool DiscretizationStage::CanSwitchTo() {\n  auto& global_state = global_controller_.GetGlobalState();\n  if (!global_state.HasPolycube()) {\n    LOGW(\"Polycube must exist before discretization stage!\");\n    return false;\n  }\n  return true;\n}\n\nvoid DiscretizationStage::DiscretizePolycube() {\n  auto& global_state = global_controller_.GetGlobalState();\n  auto& polycube = global_state.GetPolycube();\n  current_graph_ =\n      std::make_unique<PolycubeGraph>(polycube, hex_size_, round_to_nearest_);\n  current_quad_complex_ = current_graph_->GenerateQuadComplex();\n  current_surface_mesh_ = current_quad_complex_->ExtractQuadMesh();\n\n  auto& global_view = global_controller_.GetGlobalView();\n  global_view.UpdatePolycubeComplexView(*current_quad_complex_, color_by_patch_,\n                                        true);\n  global_view.SetVisibility(GlobalView::VisibilityPolycubeComplex);\n}\n\nvoid DiscretizationStage::FinalizePolycube() {\n  assert(current_graph_);\n  auto& global_state = global_controller_.GetGlobalState();\n  global_state.SetPolycubeComplex(current_graph_->GenerateHexComplex(padding_));\n\n  auto& global_view = global_controller_.GetGlobalView();\n  global_view.UpdatePolycubeComplexView(*current_graph_->GenerateQuadComplex(),\n                                        color_by_patch_, false);\n  global_view.SetVisibility(GlobalView::VisibilityPolycubeComplex);\n\n  // Invalidate target complex and hex mesh.\n  global_state.SetTargetComplex(nullptr);\n  global_controller_.ResetHexahedralizationStage();\n}\n\nvoid DiscretizationStage::SwitchTo() { PipelineStage::SwitchTo(); }\nvoid DiscretizationStage::SwitchFrom() { PipelineStage::SwitchFrom(); }\n\nbool DiscretizationStage::HandleInputEvent(const vkoo::InputEvent& event) {\n  static StopWatch stop_watch;\n  static double time_elapsed = 0;\n\n  bool handled = false;\n  if (!current_surface_mesh_) {\n    return handled;\n  }\n  if (event.GetSource() == vkoo::EventSource::Keyboard) {\n    auto& key_event = static_cast<const vkoo::KeyInputEvent&>(event);\n    if (key_event.GetAction() == vkoo::KeyAction::Down &&\n        key_event.GetCode() == GLFW_KEY_Z) {\n      mode_ ^= 1;\n      handled = true;\n    }\n  }\n  if (event.GetSource() == vkoo::EventSource::Mouse) {\n    bool shift_pressed = global_controller_.IsKeyPressed(GLFW_KEY_LEFT_SHIFT);\n    auto& mouse_event = static_cast<const vkoo::MouseButtonInputEvent&>(event);\n    if (status_ == Status::Idle) {\n      if (mouse_event.GetAction() == vkoo::MouseAction::Down && shift_pressed) {\n        handled = true;\n        time_elapsed = 0;\n        if (mode_ == 0) {\n          status_ = Status::Digging;\n          pending_view_ = std::make_unique<HexCollectionView>(\n              global_controller_.GetDevice(),\n              global_controller_.GetScene().GetRoot(),\n              current_graph_->GetHexSize(), kDiggingHexColor);\n        } else {\n          status_ = Status::Extrusion;\n          pending_view_ = std::make_unique<HexCollectionView>(\n              global_controller_.GetDevice(),\n              global_controller_.GetScene().GetRoot(),\n              current_graph_->GetHexSize(), kExtrusionHexColor);\n        }\n      }\n    }\n\n    if (status_ != Status::Idle) {\n      if (shift_pressed &&\n          (mouse_event.GetAction() == vkoo::MouseAction::Move ||\n           mouse_event.GetAction() == vkoo::MouseAction::Down)) {\n        Ray world_ray = global_controller_.ShootRayAtMousePosition(\n            mouse_event.GetXPos(), mouse_event.GetYPos());\n\n        QuadrilateralMesh::HitRecord hit_record;\n        stop_watch.Tic();\n        bool intersected =\n            current_surface_mesh_->IntersectWithRay(world_ray, hit_record);\n        time_elapsed += stop_watch.Toc().count();\n        if (intersected) {\n          HandleQuadClicked(hit_record.quad_id);\n          handled = true;\n        }\n      }\n\n      if (!shift_pressed || mouse_event.GetAction() == vkoo::MouseAction::Up) {\n        ApplyPendingChanges();\n        status_ = Status::Idle;\n        handled = true;\n        // LOGI(\"Ray tracing takes {} secs\", time_elapsed);\n      }\n    }\n  }\n  return handled;\n}\n\nvoid DiscretizationStage::HandleQuadClicked(size_t quad_id) {\n  std::vector<Vector3i> hex_coords;\n  if (status_ == Status::Digging) {\n    if (global_controller_.IsKeyPressed(GLFW_KEY_LEFT_CONTROL)) {\n      auto hex_ids = current_graph_->GetHexesOnSamePatch(quad_id);\n      for (auto hex_id : hex_ids) {\n        hex_coords.push_back(current_graph_->GetHexCoord(hex_id));\n      }\n    } else {\n      size_t hex_id = current_graph_->GetHexIdFromQuadId(quad_id);\n      hex_coords.push_back(current_graph_->GetHexCoord(hex_id));\n    }\n\n  } else {\n    assert(status_ == Status::Extrusion);\n    if (global_controller_.IsKeyPressed(GLFW_KEY_LEFT_CONTROL)) {\n      auto new_hex_coords = current_graph_->GetExtrusionPatch(quad_id);\n      hex_coords.insert(hex_coords.end(), new_hex_coords.begin(),\n                        new_hex_coords.end());\n    } else {\n      hex_coords.push_back(current_graph_->GetExtrusionCoord(quad_id));\n    }\n  }\n\n  for (auto& hex_coord : hex_coords) {\n    auto itr = pending_hex_coords_.find(hex_coord);\n    if (itr == pending_hex_coords_.end()) {\n      pending_hex_coords_.insert(hex_coord);\n      pending_view_->AddHex(hex_coord, false, true);\n    }\n  }\n}\n\nvoid DiscretizationStage::ApplyPendingChanges() {\n  if (pending_hex_coords_.empty()) {\n    return;\n  }\n  // LOGI(\"Applying {} pending changes to \", pending_hex_coords_.size());\n  assert(status_ != Status::Idle);\n\n  auto old_hex_coords = current_graph_->GetAllHexCoords();\n  std::unordered_set<Vector3i, Vector3iHasher> new_hex_coords{\n      old_hex_coords.begin(), old_hex_coords.end()};\n  for (auto& c : pending_hex_coords_) {\n    auto itr = new_hex_coords.find(c);\n    if (status_ == Status::Digging) {\n      assert(itr != new_hex_coords.end());\n\n      new_hex_coords.erase(itr);\n    } else {\n      assert(itr == new_hex_coords.end());\n      new_hex_coords.insert(c);\n    }\n  }\n\n  // Rebuild everything.\n  pending_view_.reset();\n\n  float old_hex_size = current_graph_->GetHexSize();\n  current_graph_ = std::make_unique<PolycubeGraph>(\n      std::vector<Vector3i>(new_hex_coords.begin(), new_hex_coords.end()),\n      old_hex_size);\n  current_quad_complex_ = current_graph_->GenerateQuadComplex();\n  current_surface_mesh_ = current_quad_complex_->ExtractQuadMesh();\n  auto& global_view = global_controller_.GetGlobalView();\n  global_view.UpdatePolycubeComplexView(*current_quad_complex_, color_by_patch_,\n                                        true);\n  global_view.AddVisibility(GlobalView::VisibilityPolycubeComplex);\n\n  pending_hex_coords_.clear();\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/controllers/stages/DiscretizationStage.h",
    "content": "#pragma once\n\n#include \"PipelineStage.h\"\n#include \"models/PolycubeGraph.h\"\n#include \"models/QuadrilateralMesh.h\"\n#include \"views/HexCollectionView.h\"\n\nnamespace hex {\nclass DiscretizationStage : public PipelineStage {\n public:\n  DiscretizationStage(GlobalController& global_controller);\n  std::string GetName() const override { return \"Discretization\"; }\n  bool CanSwitchTo() override;\n  void SwitchTo() override;\n  void SwitchFrom() override;\n  bool HandleInputEvent(const vkoo::InputEvent& event) override;\n  void DrawStageWindow() override;\n\n  void DiscretizePolycube();\n  void FinalizePolycube();\n\n private:\n  enum class Status { Idle, Digging, Extrusion };\n\n  void ApplyPendingChanges();\n  void HandleQuadClicked(size_t quad_id);\n\n  float hex_size_{0.05f};\n  bool round_to_nearest_{false};\n  bool padding_{true};\n  bool color_by_patch_{true};\n\n  int mode_{0};  // 0: dig, 1: extrude\n  Status status_{Status::Idle};\n  std::unique_ptr<PolycubeGraph> current_graph_;\n  std::unique_ptr<QuadComplex> current_quad_complex_;\n  std::unique_ptr<QuadrilateralMesh> current_surface_mesh_;\n\n  std::unordered_set<Vector3i, Vector3iHasher> pending_hex_coords_;\n  std::unique_ptr<HexCollectionView> pending_view_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/controllers/stages/HexahedralizationStage.cpp",
    "content": "#include \"HexahedralizationStage.h\"\n\n#include <GLFW/glfw3.h>\n#include <geomlib/autograd/GeneralizedProjection.h>\n#include <geomlib/hausdorff_distance.h>\n#include <imgui.h>\n\n#include <limits>\n#include <stdexcept>\n\n#include \"DiscretizationStage.h\"\n#include \"controllers/GlobalController.h\"\n#include \"logging.h\"\n#include \"optim/torch_utils.h\"\n#include \"utility/ImGuiEx.h\"\n#include \"utility/StopWatch.h\"\n#include \"views/GlobalView.h\"\n#include \"vkoo/core/InputEvent.h\"\n\nnamespace hex {\nnamespace {\nconst int kHausdorffDistanceBatchSize = 5000;\nconst int kHausdorffDistanceRepeatTimes = 10;\n}  // namespace\n\nHexahedralizationStage::HexahedralizationStage(\n    GlobalController& global_controller)\n    : PipelineStage{global_controller,\n                    global_controller.GetGlobalState().HasResultMesh()\n                        ? GlobalView::VisibilityResultFilteredMesh\n                        : GlobalView::VisibilityPolycubeComplex} {\n  landmarks_view_ = std::make_unique<LandmarksEditingView>(\n      global_controller_.GetDevice(), global_controller_.GetScene().GetRoot());\n  landmarks_view_->GetWrapperNode()->SetVisible(false);\n\n  {\n    QuadSurfaceView::Options view_options;\n    pickable_surface_view_ = std::make_unique<QuadSurfaceView>(\n        global_controller_.GetDevice(), global_controller_.GetScene().GetRoot(),\n        view_options);\n  }\n\n  auto& global_state = global_controller_.GetGlobalState();\n  if (global_state.HasTargetComplex()) {\n    assert(global_state.HasResultMesh());\n    UpdateCurrentSurface();\n    ComputeHausdorffDistance();\n  }\n}\n\nHexahedralizationStage::~HexahedralizationStage() {\n  StopAndJoinOptThread();\n  if (pickable_surface_view_) {\n    pickable_surface_view_->GetWrapperNode()->RemoveFromParent();\n  }\n  if (landmarks_view_) {\n    landmarks_view_->GetWrapperNode()->RemoveFromParent();\n  }\n}\n\nvoid HexahedralizationStage::UpdateCurrentSurface() {\n  auto& global_state = global_controller_.GetGlobalState();\n  assert(global_state.HasTargetComplex());\n  auto& target_complex = global_state.GetTargetComplex();\n  current_surface_mesh_ = target_complex.GetQuadComplex().ExtractQuadMesh();\n\n  pickable_surface_view_->Update(*current_surface_mesh_);\n  pickable_surface_view_->GetWrapperNode()->SetVisible(is_editing_);\n  landmarks_view_->UpdatePositions(global_state.GetResultMesh().GetVertices());\n}\n\nvoid HexahedralizationStage::DrawStageWindow() {\n  auto& global_state = global_controller_.GetGlobalState();\n  DrawHexahedralizationWindow();\n  if (global_state.HasResultMesh()) {\n    DrawFilteringWindow();\n  }\n}\n\nbool HexahedralizationStage::CanSwitchTo() {\n  auto& global_state = global_controller_.GetGlobalState();\n  if (!global_state.HasPolycubeComplex() ||\n      !global_state.HasDeformedVolumeMesh() ||\n      !global_state.HasTargetVolumeMesh()) {\n    LOGW(\n        \"Hexahedralization depends on having a target mesh, a deformed mesh, \"\n        \"and a polycube complex!\");\n    return false;\n  }\n  return true;\n}\n\nvoid HexahedralizationStage::DrawHexahedralizationWindow() {\n  if (hex_complex_deformer_ && hex_complex_deformer_->GetStatus() ==\n                                   HexComplexDeformer::Status::Running) {\n    return;\n  }\n\n  ImGui::SetNextWindowSize(ImVec2{400, 500}, ImGuiCond_Once);\n  ImGui::Begin(\"Hexahedralization\");\n  bool pressed;\n\n  pressed = ImGui::Button(\"Init/Reset final hex mesh\");\n  ImGui::SameLine();\n  ImGuiHelpMarker(\n      \"Initialize the final hex mesh according to the \"\n      \"polycube hex mesh and the input volumetric mesh.\");\n\n  static bool use_pullback = true;\n  static bool indirect = true;\n  static bool transport = true;\n  if (global_controller_.IsExpertMode()) {\n    ImGui::Checkbox(\"pullback\", &use_pullback);\n    if (use_pullback) {\n      ImGui::Checkbox(\"indirect\", &indirect);\n      ImGui::SameLine();\n      ImGui::Checkbox(\"gradual\", &transport);\n    }\n    if (in_transition_) {\n      if (ImGui::Button(\"Morph\")) {\n        OptimizeHexDeformation(100);\n      }\n      if (ImGui::Button(\"Finish morphing\")) {\n        in_transition_ = false;\n        hex_complex_deformer_.reset();\n      }\n    }\n  } else {\n    ImGui::SameLine();\n    static bool inversion_free = true;\n    ImGui::Checkbox(\"inversion-free\", &inversion_free);\n    ImGui::SameLine();\n    ImGuiHelpMarker(\n        \"A more involved initialization strategy that uses a smooth \"\n        \"deformation to avoid inverting hexes. This might take a while.\");\n    use_pullback = true;\n    indirect = inversion_free;\n    transport = inversion_free;\n  }\n\n  if (pressed) {\n    InitTargetComplex(use_pullback, indirect, transport);\n  }\n\n  auto& global_state = global_controller_.GetGlobalState();\n  if (global_state.HasTargetComplex() && !in_transition_) {\n    if (!is_editing_) {\n      if (ImGui::Button(\"Enter edit mode\")) {\n        EnterEditMode();\n      }\n    } else {\n      if (ImGui::Button(\"Leave edit mode\")) {\n        LeaveEditMode();\n      }\n    }\n    ImGui::SameLine();\n    ImGuiHelpMarker(\n        \"Click to enter/leave edit mode. In edit mode, you can mark vertices \"\n        \"as \"\n        \"landmarks by holding SHIFT and clicking on them. Clicking a second \"\n        \"time will remove a landmark. Landmarks will be fixed during \"\n        \"optimization. You can also drag a landmark along the input mesh \"\n        \"surface while holding down CTRL to reposition it.\");\n    ImGui::SameLine();\n    if (ImGui::Button(\"Clear landmarks\")) {\n      ClearLandmarks();\n    }\n\n    DrawDistortionEnergyChildWindow(distortion_options_, true, false);\n\n    DrawQualityParametersChildWindow();\n\n    DrawOptimizationControlWindow();\n\n    DrawOptimizerOptionsNode(\n        hex_deformer_options_.learning_rate, hex_deformer_options_.adam_betas,\n        global_controller_.IsExpertMode() ? &hex_deformer_options_.snapshot_freq\n                                          : nullptr);\n\n    pressed = ImGui::Button(\"Init/Reset optimizer\");\n    ImGui::SameLine();\n    ImGuiHelpMarker(\n        \"Create a new deformation optimizer based on the current set of \"\n        \"parameters. If an optimizer has been created already, it will be \"\n        \"overriden and all previous optimizer state (e.g. momentum of \"\n        \"gradients) \"\n        \"will be lost, which may or may not be the desired outcome.\");\n    if (pressed) {\n      PrepareHexDeformation();\n    }\n\n    if (hex_complex_deformer_) {\n      pressed = ImGui::Button(\"Reoptimize\");\n      ImGui::SameLine();\n      static int opt_steps = 100;\n      ImGui::SetNextItemWidth(100);\n      if (ImGui::InputInt(\"steps\", &opt_steps)) {\n        if (opt_steps < 0) {\n          opt_steps = 0;\n        }\n      }\n      if (pressed) {\n        OptimizeHexDeformation(opt_steps);\n      }\n    }\n  }\n  ImGui::End();\n}\n\nvoid HexahedralizationStage::ClearLandmarks() {\n  for (auto& landmark : landmarks_set_) {\n    landmarks_view_->RemoveLandmark(landmark);\n  }\n  landmarks_set_.clear();\n}\n\nvoid HexahedralizationStage::DrawFilteringWindow() {\n  FilteringSetting old_setting = filtering_setting_;\n\n  ImGui::SetNextWindowPos(ImVec2{100, 500}, ImGuiCond_Once);\n  ImGui::SetNextWindowSize(ImVec2{400, 300}, ImGuiCond_Once);\n  ImGui::Begin(\"Filters\");\n  bool pressed = ImGui::Button(\"Calibrate\");\n  ImGui::SameLine();\n  ImGuiHelpMarker(\n      \"Set the normal of the filtering plane to be in the same direction as \"\n      \"the camera.\");\n  if (pressed) {\n    filtering_setting_.slice_normal = ToEigen(global_controller_.GetScene()\n                                                  .GetActiveCameraPtr()\n                                                  ->GetFrontDirection());\n  }\n\n  ImGui::SameLine();\n\n  ImGui::SetNextItemWidth(120);\n  {\n    ImGuiFrameColorGuard frame_cg{305.f / 360.f};\n    ImGui::SliderFloat(\"slice\", &filtering_setting_.slice_dist, 0.0f, 1.0f,\n                       \"%.3f\");\n  }\n  ImGui::SameLine();\n  ImGuiHelpMarker(\"Move the filtering plane forward or backward.\");\n\n  const char* labels[] = {\"scaled jacobian\", \"jacobian\"};\n  const char* tooltips[] = {\n      \"Scaled Jacobian computes the determinant of the Jacobian matrix after \"\n      \"normalizing each row of the Jacobian. Hence it will not penalize \"\n      \"hexes that are perfect cuboids.\",\n      \"Jacobian computes the determinant of the Jacobian matrix without \"\n      \"normalization, so it measures how volume-preserving each hex element \"\n      \"is.\"};\n  static int item_current = 0;\n  const char* combo_label = labels[item_current];\n\n  ImGui::SetNextItemWidth(180);\n  if (ImGui::BeginCombo(\"metric\", combo_label, ImGuiComboFlags_None)) {\n    for (int n = 0; n < IM_ARRAYSIZE(labels); n++) {\n      const bool is_selected = (item_current == n);\n      if (ImGui::Selectable(labels[n], is_selected)) {\n        item_current = n;\n      }\n\n      if (is_selected) ImGui::SetItemDefaultFocus();\n      if (ImGui::IsItemHovered()) {\n        ImGui::BeginTooltip();\n        ImGui::Text(\"%s\", tooltips[n]);\n        ImGui::EndTooltip();\n      }\n    }\n    ImGui::EndCombo();\n  }\n  if (item_current == 0) {\n    filtering_setting_.quality = HexQualityType::ScaledJacobian;\n  } else {\n    filtering_setting_.quality = HexQualityType::Jacobian;\n  }\n  ImGui::SameLine();\n  ImGuiHelpMarker(\"Choose which metric to show/filter.\");\n  ImGui::SetNextItemWidth(180);\n  {\n    ImGuiFrameColorGuard frame_cg{123.f / 360.f};\n    ImGui::SliderFloat(\"quality\", &filtering_setting_.quality_cutoff, 0.0f,\n                       1.0f, \"%.3f\");\n  }\n  ImGui::SameLine();\n  ImGuiHelpMarker(\n      \"Show only hex elements with selected mesh quality >= this value, \"\n      \"normalized to [0, 1].\");\n\n  if (filtering_setting_ != old_setting) {\n    UpdateFilteredMeshView();\n  }\n\n  auto& global_state = global_controller_.GetGlobalState();\n  if (global_state.HasResultMesh()) {\n    auto& result_mesh = global_state.GetResultMesh();\n    auto& quality = result_mesh.GetMeshQuality();\n    auto& numbers = quality.GetQuality(filtering_setting_.quality);\n    ImGui::BeginChild(\"Quality\", ImVec2(0, 100), false);\n\n    const char* fmt_by_type[] = {\"%.3f\", \"%.3e\"};\n    const char* fmt =\n        fmt_by_type[filtering_setting_.quality == HexQualityType::ScaledJacobian\n                        ? 0\n                        : 1];\n    ImGui::Text(\n        fmt::format(\"Min: {},  Avg: {}, Std: {}\", fmt, fmt, fmt).c_str(),\n        numbers.minCoeff(), numbers.mean(),\n        std::sqrt((numbers.array() - numbers.mean()).square().sum() /\n                  std::max((int)numbers.size() - 1, 1)));\n    ImGui::Text(\"#Vertices: %d, #Hexes: %d\",\n                (int)result_mesh.GetVertices().size(),\n                (int)result_mesh.GetHexes().size());\n    ImGui::Text(\"Hausdorff distance (x1000):\\n Max: %.3f, Mean: %.3f\",\n                1000.0f * std::get<0>(hausdorff_distance_),\n                1000.0f * std::get<1>(hausdorff_distance_));\n    ImGui::EndChild();\n  }\n  ImGui::End();\n}\n\nvoid HexahedralizationStage::SwitchTo() { PipelineStage::SwitchTo(); }\n\nvoid HexahedralizationStage::SwitchFrom() {\n  PipelineStage::SwitchFrom();\n  StopAndJoinOptThread();\n  if (is_editing_) {\n    LeaveEditMode();\n  }\n}\nvoid HexahedralizationStage::StopAndJoinOptThread() {\n  if (opt_thread_.joinable()) {\n    hex_complex_deformer_->ForceStop();\n    opt_thread_.join();\n  }\n}\n\nvoid HexahedralizationStage::InitTargetComplex(bool use_pullback, bool indirect,\n                                               bool transport) {\n  // Copy polycube complex + target surface complex to\n  // initialize(DeformationStage).\n  auto& global_state = global_controller_.GetGlobalState();\n  if (!global_state.HasPolycubeComplex() ||\n      !global_state.HasTargetVolumeMesh()) {\n    LOGW(\"Hex deformation requires an initialized target complex!\");\n    return;\n  }\n\n  auto target_complex =\n      std::make_unique<HexComplex>(global_state.GetPolycubeComplex());\n  global_state.SetTargetComplex(std::move(target_complex));\n\n  if (use_pullback) {\n    auto volume_vertices = PullPolycubeVolumeBack(indirect);\n\n    if (transport) {\n      auto deformer_options = hex_deformer_options_;\n      deformer_options.mode = HexComplexDeformer::Mode::Projection;\n      deformer_options.snapshot_freq = -1;\n      deformer_options.projection_weight = 1.0f;\n      deformer_options.learning_rate = 1e-3f;\n      deformer_options.smooth_transport = true;\n\n      auto distortion_options = DistortionOptions();\n      // distortion_options.amips = true;\n      hex_complex_deformer_ = std::make_unique<HexComplexDeformer>(\n          global_state.GetPolycubeComplex(), global_state.GetTargetComplex(),\n          global_state.GetTargetVolumeMesh().GetSurfaceMesh(),\n          distortion_options, deformer_options);\n      hex_complex_deformer_->SetPulledbackPositions(volume_vertices);\n      if (!global_controller_.IsExpertMode()) {\n        OptimizeHexDeformation(200);  // this updates target_complex\n        hex_complex_deformer_.reset();\n      } else {\n        in_transition_ = true;\n      }\n    } else {\n      global_state.GetTargetComplex().UpdateVertices(volume_vertices);\n    }\n  }\n  UpdateOnTargetComplexChange();\n  global_controller_.GetGlobalView().SetVisibility(\n      GlobalView::VisibilityResultFilteredMesh);\n\n  // Invalidate optimizer and landmarks.\n  if (!transport) {\n    hex_complex_deformer_.reset();\n  }\n  ClearLandmarks();\n}\n\nvoid HexahedralizationStage::PrepareHexDeformation() {\n  auto& global_state = global_controller_.GetGlobalState();\n  if (!global_state.HasPolycubeComplex() ||\n      !global_state.HasTargetVolumeMesh() || !global_state.HasTargetComplex()) {\n    LOGW(\"Hex deformation requires an initialized target complex!\");\n    return;\n  }\n\n  auto& target_complex = global_state.GetTargetComplex();\n  hex_complex_deformer_ = std::make_unique<HexComplexDeformer>(\n      global_state.GetPolycubeComplex(), target_complex,\n      global_state.GetTargetVolumeMesh().GetSurfaceMesh(), distortion_options_,\n      hex_deformer_options_);\n  deformer_dirty_ = false;\n}\n\nvoid HexahedralizationStage::OptimizeHexDeformation(int num_steps) {\n  if (opt_thread_.joinable()) {\n    opt_thread_.join();\n  }\n\n  if (!hex_complex_deformer_) {\n    LOGW(\"You need to prepare hex complex deformer first!\");\n    return;\n  }\n\n  if (deformer_dirty_) {\n    PrepareHexDeformation();\n  }\n\n  auto& global_state = global_controller_.GetGlobalState();\n  auto& target_complex = global_state.GetTargetComplex();\n\n  // Translate landmarks from hex vtx ids to surface ids.\n  std::vector<int> fixed_surface_indices;\n  for (auto i : landmarks_set_) {\n    fixed_surface_indices.push_back(\n        target_complex.GetToSurfaceIndexDict().at(i));\n  }\n\n  if (hex_deformer_options_.snapshot_freq == -1) {\n    hex_complex_deformer_->Optimize(num_steps, fixed_surface_indices);\n    FetchSnapshot();\n  } else {\n    opt_thread_ = std::thread([&, num_steps, fixed_surface_indices]() {\n      hex_complex_deformer_->Optimize(num_steps, fixed_surface_indices);\n    });\n  }\n}\nvoid HexahedralizationStage::FetchSnapshot() {\n  auto& global_state = global_controller_.GetGlobalState();\n  auto& target_complex = global_state.GetTargetComplex();\n  target_complex.UpdateVertices(hex_complex_deformer_->FetchSnapshot());\n  UpdateOnTargetComplexChange();\n  global_controller_.GetGlobalView().AddVisibility(\n      GlobalView::VisibilityResultFilteredMesh);\n}\n\nvoid HexahedralizationStage::Update([[maybe_unused]] float delta_time) {\n  if (hex_complex_deformer_ && hex_complex_deformer_->HasFreshSnapshot()) {\n    FetchSnapshot();\n  }\n\n  if (!global_controller_.IsKeyPressed(GLFW_KEY_LEFT_SHIFT) &&\n      !global_controller_.IsKeyPressed(GLFW_KEY_LEFT_CONTROL)) {\n    landmarks_view_->RemoveHighlightLandmark();\n  }\n}\n\nvoid HexahedralizationStage::UpdateOnTargetComplexChange() {\n  auto& global_state = global_controller_.GetGlobalState();\n  auto& target_complex = global_state.GetTargetComplex();\n  global_state.SetResultMesh(target_complex.ExtractHexMesh());\n\n  UpdateCurrentSurface();\n\n  UpdateFilteredMeshView();\n  ComputeHausdorffDistance();\n}\n\nvoid HexahedralizationStage::ComputeHausdorffDistance() {\n  StopWatch timer;\n  timer.Tic();\n  auto& global_state = global_controller_.GetGlobalState();\n  auto& input_mesh = global_state.GetTargetVolumeMesh().GetSurfaceMesh();\n  auto& quad_complex = global_state.GetTargetComplex().GetQuadComplex();\n  auto quad_faces = quad_complex.GetTriangularFaces();\n\n  auto vertices0 = MatrixXfToTensor(input_mesh.GetVertices()).cuda();\n  auto faces0 =\n      MatrixXiToTensor(input_mesh.GetFaces()).cuda().to(torch::kInt64);\n  auto vertices1 =\n      MatrixXfToTensor(ArrayVector3fToMatrixXf(quad_complex.GetVertices()))\n          .cuda();\n  auto faces1 =\n      MatrixXiToTensor(ArrayVector3iToMatrixXi(quad_complex.GetRing()))\n          .cuda()\n          .to(torch::kInt64);\n  hausdorff_distance_ = geomlib::ComputeHausdorffDistance(\n      vertices0, faces0, vertices1, faces1, kHausdorffDistanceBatchSize,\n      kHausdorffDistanceRepeatTimes);\n  // Scale by diagonal of the bbox of input mesh.\n  auto bbox_max = std::get<0>(vertices0.max(0));\n  auto bbox_min = std::get<0>(vertices0.min(0));\n  float diagonal_length =\n      (bbox_max - bbox_min).square().sum().sqrt().item<float>();\n  std::get<0>(hausdorff_distance_) /= diagonal_length;\n  std::get<1>(hausdorff_distance_) /= diagonal_length;\n}\n\nvoid HexahedralizationStage::UpdateFilteredMeshView() {\n  auto& global_view = global_controller_.GetGlobalView();\n  global_view.UpdateFilteredHexView(global_controller_.GetGlobalState(),\n                                    filtering_setting_);\n}\n\nstd::vector<Vector3f> HexahedralizationStage::PullPolycubeVolumeBack(\n    bool indirect) {\n  auto& global_state = global_controller_.GetGlobalState();\n  assert(global_state.HasPolycubeComplex() &&\n         global_state.HasDeformedVolumeMesh() &&\n         global_state.HasTargetVolumeMesh() && global_state.HasTargetComplex());\n\n  auto& target_volume_mesh = global_state.GetTargetVolumeMesh();\n  auto& deformed_volume_mesh = global_state.GetDeformedVolumeMesh();\n  auto& target_complex = global_state.GetTargetComplex();\n\n  if (indirect) {\n    // First optimize using projection for a few steps.\n    auto deformer_options = HexComplexDeformer::Options();\n    deformer_options.mode = HexComplexDeformer::Mode::Projection;\n    deformer_options.snapshot_freq = -1;\n    deformer_options.projection_weight = 1.0f;\n    deformer_options.learning_rate = 1e-3f;\n\n    auto distortion_options = DistortionOptions();\n    distortion_options.regularizer_eps = 1e-4f;  // use a stricter regularizer\n    // distortion_options.amips = true;\n    hex_complex_deformer_ = std::make_unique<HexComplexDeformer>(\n        global_state.GetPolycubeComplex(), target_complex,\n        global_state.GetDeformedVolumeMesh().GetSurfaceMesh(),\n        distortion_options, deformer_options);\n    OptimizeHexDeformation(100);  // this updates target_complex\n    hex_complex_deformer_.reset();\n  }\n\n  auto result = geomlib::GeneralizedTetrahedronProjection<3>::apply(\n      MatrixXfToTensor(ArrayVector3fToMatrixXf(target_complex.GetVertices()))\n          .cuda(),\n      MatrixXfToTensor(deformed_volume_mesh.GetVertices()).cuda(),\n      MatrixXiToTensor(deformed_volume_mesh.GetTets()).cuda());\n\n  auto tet_ids = TensorToVectorXi(result[1].detach().cpu());\n  auto bary_coords = TensorToMatrixXf(result[2].detach().cpu());\n  Eigen::MatrixXf pulled_points =\n      target_volume_mesh.RetrievePointsFromBarycentricCoordinates(tet_ids,\n                                                                  bary_coords);\n\n  return MatrixXfToArrayVector3f(pulled_points);\n}\n\nvoid HexahedralizationStage::DrawQualityParametersChildWindow() {\n  ImGuiTreeNodeWithTooltip(\n      \"Mesh quality parameters\", ImGuiTreeNodeFlags_DefaultOpen,\n      \"These parameters control the quality of the resulting hex mesh, \"\n      \"together with distortion parameters.\",\n      [&] {\n        {\n          ImGui::SetNextItemWidth(80);\n          ImGuiFrameColorGuard frame_cg{5.0f / 7.0f};\n          ImGui::DragFloat(\"smoothness\",\n                           &hex_deformer_options_.smoothness_weight, 1e-3f,\n                           0.0f, 1.0f, \"%.3f\");\n          ImGui::SameLine();\n          ImGuiHelpMarker(\n              \"This determines how the smooth we want the resulting mesh's \"\n              \"surface to be.\");\n        }\n        if (global_controller_.IsExpertMode()) {\n          ImGui::SameLine();\n          ImGui::SetNextItemWidth(80);\n          ImGuiFrameColorGuard frame_cg{5.5f / 7.0f};\n          ImGui::DragFloat(\"wire\", &hex_deformer_options_.fairness_weight,\n                           1e-3f, 0.0f, 1.0f, \"%.3f\");\n          ImGui::SameLine();\n          ImGuiHelpMarker(\n              \"This determines how much we want to preserve cube structure.\");\n        }\n        {\n          ImGui::SetNextItemWidth(80);\n          ImGuiFrameColorGuard frame_cg{6.0f / 7.0f};\n          ImGui::DragFloat(\"projection\",\n                           &hex_deformer_options_.projection_weight, 1.0f, 0.0f,\n                           1000.f, \"%.2f\", ImGuiSliderFlags_Logarithmic);\n          ImGui::SameLine();\n          ImGuiHelpMarker(\n              \"This determines how close we want the surface of the resulting \"\n              \"mesh \"\n              \"to be with the surface of the input mesh. This is always in \"\n              \"log scale.\");\n        }\n        ImGui::SameLine();\n        {\n          ImGui::SetNextItemWidth(80);\n          ImGuiFrameColorGuard frame_cg{6.5f / 7.0f};\n          ImGui::DragFloat(\"details\", &hex_deformer_options_.hausdorff_weight,\n                           1.0f, 0.0f, 1000.f, \"%.2f\",\n                           ImGuiSliderFlags_Logarithmic);\n          ImGui::SameLine();\n          ImGuiHelpMarker(\n              \"This determines how close we want the input surface to be \"\n              \"within the resulting mesh \"\n              \"This is always in log scale.\");\n        }\n\n        {\n          const char* labels[] = {\"none\", \"scaled jacobian\"};\n          const char* tooltips[] = {\"No custom energy.\",\n                                    \"Scaled Jacobian computes the determinant \"\n                                    \"of the Jacobian matrix after \"\n                                    \"normalizing each row of the Jacobian. \"\n                                    \"Hence it will not penalize \"\n                                    \"hexes that are perfect cuboids.\"};\n          static int item_current = 0;\n          const char* combo_label = labels[item_current];\n\n          ImGui::SetNextItemWidth(120);\n          if (ImGui::BeginCombo(\"custom\", combo_label, ImGuiComboFlags_None)) {\n            for (int n = 0; n < IM_ARRAYSIZE(labels); n++) {\n              const bool is_selected = (item_current == n);\n              if (ImGui::Selectable(labels[n], is_selected)) {\n                item_current = n;\n              }\n\n              if (is_selected) ImGui::SetItemDefaultFocus();\n              if (ImGui::IsItemHovered()) {\n                ImGui::BeginTooltip();\n                ImGui::Text(\"%s\", tooltips[n]);\n                ImGui::EndTooltip();\n              }\n            }\n            ImGui::EndCombo();\n          }\n\n          ImGui::SameLine();\n          ImGui::SetNextItemWidth(70);\n          ImGui::DragFloat(\"weight\", &hex_deformer_options_.custom_weight,\n                           1e-3f, 0.0f, 1.0f, \"%.3f\");\n          ImGui::SameLine();\n          ImGuiHelpMarker(\"Weight of the custom energy.\");\n\n          ImGui::SetNextItemWidth(100);\n          ImGui::Checkbox(\"exp scaling\",\n                          &hex_deformer_options_.custom_exp_scaling);\n          ImGui::SameLine();\n          ImGuiHelpMarker(\n              \"Whether to apply exponential scaling to custom metric in \"\n              \"order \"\n              \"to improve worst element.\");\n\n          HexComplexDeformer::CustomQuality custom_quality;\n          if (item_current == 0) {\n            custom_quality = HexComplexDeformer::CustomQuality::None;\n          } else if (item_current == 1) {\n            custom_quality = HexComplexDeformer::CustomQuality::ScaledJacobian;\n          } else {\n            throw std::runtime_error(\"Unknown custom quality\");\n          }\n          hex_deformer_options_.custom_quality = custom_quality;\n        }\n      });\n}\n\nvoid HexahedralizationStage::DrawOptimizationControlWindow() {\n  {\n    const char* labels[] = {\"free\", \"fixed\", \"constrained\"};\n    const char* tooltips[] = {\n        \"Allow surface vertices to move off the input mesh surface during \"\n        \"optimization, with an additional term penalizing the deviation.\",\n        \"Fix the position of the surface vertices during optimization.\",\n        \"Reparameterize the positions of surface vertices so that they always \"\n        \"stay on the surface during optimization.\\nInternally the surface \"\n        \"vertices are allowed to move off the surface, and then a \"\n        \"differentiable projection is applied.\"};\n    static int item_current = 0;\n    HexComplexDeformer::Mode mode;\n    ImGui::SetNextItemWidth(160);\n    const char* combo_label = labels[item_current];\n    if (ImGui::BeginCombo(\"surface representation\", combo_label,\n                          ImGuiComboFlags_None)) {\n      for (int n = 0; n < IM_ARRAYSIZE(labels); n++) {\n        const bool is_selected = (item_current == n);\n        if (ImGui::Selectable(labels[n], is_selected)) {\n          item_current = n;\n        }\n\n        if (is_selected) ImGui::SetItemDefaultFocus();\n        if (ImGui::IsItemHovered()) {\n          ImGui::BeginTooltip();\n          ImGui::Text(\"%s\", tooltips[n]);\n          ImGui::EndTooltip();\n        }\n      }\n      ImGui::EndCombo();\n    }\n    ImGui::SameLine();\n    ImGuiHelpMarker(\n        \"Choose how the surface vertices are represented in optimization.\");\n    if (item_current == 0) {\n      mode = HexComplexDeformer::Mode::Projection;\n    } else if (item_current == 1) {\n      mode = HexComplexDeformer::Mode::FixedBoundary;\n    } else {\n      mode = HexComplexDeformer::Mode::LiftedProjection;\n    }\n    hex_deformer_options_.mode = mode;\n  }\n}\n\nbool HexahedralizationStage::HandleInputEvent(const vkoo::InputEvent& event) {\n  bool handled = false;\n\n  if (event.GetSource() == vkoo::EventSource::Keyboard) {\n    auto& key_event = static_cast<const vkoo::KeyInputEvent&>(event);\n    if (key_event.GetAction() == vkoo::KeyAction::Down &&\n        key_event.GetCode() == GLFW_KEY_ESCAPE) {\n      LOGI(\"ESC pressed!\");\n      StopAndJoinOptThread();\n    }\n  }\n\n  // The rest is handling events in editing mode.\n  if (!is_editing_) {\n    return handled;\n  }\n\n  bool shift_pressed = global_controller_.IsKeyPressed(GLFW_KEY_LEFT_SHIFT);\n  bool ctrl_pressed = global_controller_.IsKeyPressed(GLFW_KEY_LEFT_CONTROL);\n  if (event.GetSource() == vkoo::EventSource::Mouse) {\n    auto& mouse_event = static_cast<const vkoo::MouseButtonInputEvent&>(event);\n\n    if (shift_pressed ^ ctrl_pressed) {\n      // Trigger this when exactly one of SHIFT, CTRL is pressed.\n      handled = true;\n\n      if (mouse_event.GetAction() == vkoo::MouseAction::Move) {\n        // Terminate early if lagged behind to avoid the expensive ray tracing.\n        float cur_x_pos;\n        float cur_y_pos;\n        global_controller_.GetMousePosition(cur_x_pos, cur_y_pos);\n        Vector2f delta =\n            Vector2f{mouse_event.GetXPos(), mouse_event.GetYPos()} -\n            Vector2f{cur_x_pos, cur_y_pos};\n        if (delta.squaredNorm() > 1e-8f) {\n          return handled;\n        }\n      }\n      Ray world_ray = global_controller_.ShootRayAtMousePosition(\n          mouse_event.GetXPos(), mouse_event.GetYPos());\n      size_t v;\n\n      bool intersected = false;\n      if (landmarks_view_->IntersectWithRay(world_ray, v)) {\n        // Prioritize intersecting landmark balls.\n        intersected = true;\n      } else {\n        QuadrilateralMesh::HitRecord hit_record;\n        intersected =\n            current_surface_mesh_->IntersectWithRay(world_ray, hit_record);\n\n        if (intersected) {\n          v = FindClosestVertexOnQuad(world_ray.At(hit_record.t),\n                                      hit_record.quad_id);\n        }\n      }\n\n      if (intersected) {\n        auto& result_mesh_vertices =\n            global_controller_.GetGlobalState().GetResultMesh().GetVertices();\n\n        if (shift_pressed) {\n          landmarks_view_->HighlightLandmark(result_mesh_vertices.at(v));\n\n          if (mouse_event.GetAction() == vkoo::MouseAction::Down) {\n            if (landmarks_set_.count(v)) {\n              landmarks_view_->RemoveLandmark(v);\n              landmarks_set_.erase(v);\n            } else {\n              landmarks_view_->AddLandmark(v, result_mesh_vertices.at(v));\n              landmarks_set_.insert(v);\n            }\n          }\n        } else if (ctrl_pressed && !is_being_dragged_) {\n          if (landmarks_set_.count(v)) {\n            landmarks_view_->HighlightLandmark(result_mesh_vertices.at(v));\n\n            if (mouse_event.GetAction() == vkoo::MouseAction::Down) {\n              is_being_dragged_ = true;\n              dragged_vtx_id_ = v;\n              auto& global_view = global_controller_.GetGlobalView();\n              global_view.ChangeTriMeshAppearance(\n                  GlobalView::VisibilityFlag::VisibilityInputMesh, false,\n                  false);\n              global_view.AddVisibility(\n                  GlobalView::VisibilityFlag::VisibilityInputMesh);\n              pickable_surface_view_->GetWrapperNode()->SetVisible(false);\n            }\n          }\n        }\n      }\n\n      if (ctrl_pressed && is_being_dragged_) {\n        auto& target_mesh = global_controller_.GetGlobalState()\n                                .GetTargetVolumeMesh()\n                                .GetSurfaceMesh();\n        TriangularMesh::HitRecord hit_record;\n        bool intersected = target_mesh.IntersectWithRay(world_ray, hit_record);\n        if (intersected) {\n          auto intersection = world_ray.At(hit_record.t);\n          dragged_vtx_position_ = intersection;\n          landmarks_view_->MoveLandmark(dragged_vtx_id_, intersection);\n        }\n\n        if (mouse_event.GetAction() == vkoo::MouseAction::Up) {\n          is_being_dragged_ = false;\n          auto& target_complex =\n              global_controller_.GetGlobalState().GetTargetComplex();\n          target_complex.UpdateSingleVertex(dragged_vtx_id_,\n                                            dragged_vtx_position_);\n          deformer_dirty_ = true;\n          UpdateOnTargetComplexChange();\n          auto& global_view = global_controller_.GetGlobalView();\n          global_view.RemoveVisibility(\n              GlobalView::VisibilityFlag::VisibilityInputMesh);\n          pickable_surface_view_->GetWrapperNode()->SetVisible(true);\n        }\n      }\n    }\n  }\n  return handled;\n}\n\n// Note: this returns vertex index in result hex mesh.\nsize_t HexahedralizationStage::FindClosestVertexOnQuad(const Vector3f& p,\n                                                       size_t quad_id) {\n  auto& vertices = current_surface_mesh_->GetVertices();\n  auto& quad = current_surface_mesh_->GetQuads().at(quad_id);\n\n  size_t result;\n  float min_d = std::numeric_limits<float>::max();\n  for (size_t k = 0; k < 4; k++) {\n    float d = (p - vertices.at(quad[k])).norm();\n    if (d < min_d) {\n      min_d = d;\n      result = quad[k];\n    }\n  }\n  auto& target_complex = global_controller_.GetGlobalState().GetTargetComplex();\n  return target_complex.GetSurfaceIndices().at(result);\n}\n\nvoid HexahedralizationStage::EnterEditMode() {\n  assert(current_surface_mesh_);\n  assert(!is_editing_);\n  is_editing_ = true;\n  // First hide everything.\n  saved_visibility_flag_ = global_controller_.GetGlobalView().GetVisibility();\n  pickable_surface_view_->GetWrapperNode()->SetVisible(true);\n  landmarks_view_->GetWrapperNode()->SetVisible(true);\n\n  auto& global_view = global_controller_.GetGlobalView();\n  global_view.ChangeTriMeshAppearance(\n      GlobalView::VisibilityFlag::VisibilityInputMesh, true, false);\n  global_view.AddVisibility(GlobalView::VisibilityFlag::VisibilityInputMesh);\n  global_view.RemoveVisibility(\n      GlobalView::VisibilityFlag::VisibilityResultFilteredMesh);\n}\n\nvoid HexahedralizationStage::LeaveEditMode() {\n  assert(is_editing_);\n  is_editing_ = false;\n  pickable_surface_view_->GetWrapperNode()->SetVisible(false);\n  landmarks_view_->GetWrapperNode()->SetVisible(false);\n  auto& global_view = global_controller_.GetGlobalView();\n  global_view.AddVisibility(\n      GlobalView::VisibilityFlag::VisibilityResultFilteredMesh);\n}\n\nvoid HexahedralizationStage::ShowGuideSurface() {\n  auto& global_view = global_controller_.GetGlobalView();\n  global_view.ChangeTriMeshAppearance(\n      GlobalView::VisibilityFlag::VisibilityInputMesh, true, false);\n  global_view.AddVisibility(GlobalView::VisibilityFlag::VisibilityInputMesh);\n}\n\nvoid HexahedralizationStage::HideGuideSurface() {\n  auto& global_view = global_controller_.GetGlobalView();\n  global_view.RemoveVisibility(GlobalView::VisibilityFlag::VisibilityInputMesh);\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/controllers/stages/HexahedralizationStage.h",
    "content": "#pragma once\n\n#include <vkoo/st/Node.h>\n\n#include \"PipelineStage.h\"\n#include \"optim/DistortionEnergy.h\"\n#include \"optim/HexComplexDeformer.h\"\n#include \"views/FilteredHexMesh.h\"\n#include \"views/LandmarksEditingView.h\"\n#include \"views/QuadSurfaceView.h\"\n#include \"views/TriSurfaceView.h\"\n\nnamespace hex {\nclass HexahedralizationStage : public PipelineStage {\n public:\n  HexahedralizationStage(GlobalController& global_controller);\n  ~HexahedralizationStage();\n  std::string GetName() const override { return \"Hexahedralization\"; }\n  bool CanSwitchTo() override;\n  void SwitchTo() override;\n  void SwitchFrom() override;\n  void DrawStageWindow() override;\n  bool HandleInputEvent(const vkoo::InputEvent& event) override;\n  void Update(float delta_time) override;\n\n  void InitTargetComplex(bool use_pullback, bool indirect, bool transport);\n  void PrepareHexDeformation();\n  void OptimizeHexDeformation(int steps);\n  void Reset();\n\n private:\n  void DrawHexahedralizationWindow();\n  void DrawFilteringWindow();\n  void DrawQualityParametersChildWindow();\n  void DrawOptimizationControlWindow();\n\n  void UpdateOnTargetComplexChange();\n  void UpdateCurrentSurface();\n  void UpdateFilteredMeshView();\n  std::vector<Vector3f> PullPolycubeVolumeBack(bool indirect);\n  void PutLandmark();\n  size_t FindClosestVertexOnQuad(const Vector3f& p, size_t quad_id);\n  void ComputeHausdorffDistance();\n\n  void EnterEditMode();\n  void LeaveEditMode();\n  void ShowGuideSurface();\n  void HideGuideSurface();\n  void ClearLandmarks();\n\n  void FetchSnapshot();\n  void StopAndJoinOptThread();\n\n  std::thread opt_thread_;\n  std::unique_ptr<HexComplexDeformer> hex_complex_deformer_;\n\n  DistortionOptions distortion_options_;\n  HexComplexDeformer::Options hex_deformer_options_;\n\n  FilteringSetting filtering_setting_;\n\n  // Variables for supporting landmarks.\n  bool is_editing_{false};\n  std::unique_ptr<QuadrilateralMesh> current_surface_mesh_;\n  bool is_being_dragged_{false};\n  size_t dragged_vtx_id_;\n  Vector3f dragged_vtx_position_;\n  bool deformer_dirty_{false};\n\n  bool in_transition_{false};\n\n  std::tuple<float, float> hausdorff_distance_{0.0f, 0.0f};\n\n  std::unique_ptr<QuadSurfaceView> pickable_surface_view_;\n  std::unique_ptr<LandmarksEditingView> landmarks_view_;\n\n  std::unordered_set<size_t> landmarks_set_;  // indices are in result hex mesh\n  unsigned long saved_visibility_flag_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/controllers/stages/PipelineStage.cpp",
    "content": "#include \"PipelineStage.h\"\n\n#include \"controllers/GlobalController.h\"\n\nnamespace hex {\nPipelineStage::PipelineStage(GlobalController& global_controller,\n                             unsigned long default_visibility)\n    : global_controller_{global_controller},\n      last_visibility_{default_visibility} {}\n\nvoid PipelineStage::SwitchTo() {\n  global_controller_.GetGlobalView().SetVisibility(last_visibility_);\n}\n\nvoid PipelineStage::SwitchFrom() {\n  last_visibility_ = global_controller_.GetGlobalView().GetVisibility();\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/controllers/stages/PipelineStage.h",
    "content": "#pragma once\n\n#include <vkoo/core/InputEvent.h>\n\n#include \"common.h\"\n\nnamespace hex {\nclass GlobalController;\n\nclass PipelineStage {\n public:\n  PipelineStage(GlobalController& global_controller,\n                unsigned long default_visibility = 0);\n  virtual ~PipelineStage() = default;\n  virtual std::string GetName() const = 0;\n  virtual bool HandleInputEvent(\n      [[maybe_unused]] const vkoo::InputEvent& event) {\n    return false;\n  };\n  virtual void Update([[maybe_unused]] float delta_time) {}\n  virtual bool CanSwitchTo() { return true; }\n  virtual void SwitchTo();\n  virtual void SwitchFrom();\n  virtual void DrawStageWindow(){};\n\n protected:\n  GlobalController& global_controller_;\n  unsigned long last_visibility_{0};\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/debug.cpp",
    "content": "#include \"debug.h\"\n\nnamespace hex {\nbool IsTensorFinite(torch::Tensor x) { return x.isfinite().all().item<bool>(); }\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/debug.h",
    "content": "#include \"common.h\"\n\n#include <torch/torch.h>\n\nnamespace hex {\nbool IsTensorFinite(torch::Tensor x);\n}\n"
  },
  {
    "path": "hex/src/logging.h",
    "content": "#pragma once\n\n#include <spdlog/fmt/fmt.h>\n#include <spdlog/spdlog.h>\n\n#define __FILENAME__ (static_cast<const char*>(__FILE__))\n#define LOGI(...) spdlog::info(__VA_ARGS__);\n#define LOGW(...) spdlog::warn(__VA_ARGS__);\n#define LOGE(...) \\\n  spdlog::error(\"[{}:{}] {}\", __FILENAME__, __LINE__, fmt::format(__VA_ARGS__));\n#define LOGD(...) spdlog::debug(__VA_ARGS__);\n"
  },
  {
    "path": "hex/src/main.cpp",
    "content": "#include \"HexMeshingApp.h\"\n\nusing namespace hex;\n\nint main() {\n  HexMeshingApp app{true};\n  app.Prepare();\n  app.MainLoop();\n}\n"
  },
  {
    "path": "hex/src/models/Cuboid.cpp",
    "content": "#include \"Cuboid.h\"\n\nnamespace hex {\nCuboid::Cuboid(const Eigen::Vector3f& center,\n               const Eigen::Vector3f& halflengths)\n    : center{center}, halflengths{halflengths} {}\n\nCuboid Cuboid::FromBounds(const Vector3f& lower, const Vector3f& upper) {\n  Cuboid cuboid;\n  cuboid.SetBound(lower, upper);\n  return cuboid;\n}\n\nstd::pair<Vector3f, Vector3f> Cuboid::GetBound() {\n  return {center - halflengths, center + halflengths};\n}\n\nvoid Cuboid::SetBound(const Vector3f& lower, const Vector3f& upper) {\n  center = (lower + upper) / 2;\n  halflengths = (upper - lower) / 2;\n}\n\nstd::vector<Vector3f> Cuboid::GetFace(int ax_id, int side) {\n  std::vector<Vector3i> pattern;\n  if (ax_id == 0) {\n    pattern.push_back({side, -1, -1});\n    pattern.push_back({side, 1, -1});\n    pattern.push_back({side, 1, 1});\n    pattern.push_back({side, -1, 1});\n  } else if (ax_id == 1) {\n    pattern.push_back({-1, side, -1});\n    pattern.push_back({-1, side, 1});\n    pattern.push_back({1, side, 1});\n    pattern.push_back({1, side, -1});\n  } else {\n    pattern.push_back({-1, -1, side});\n    pattern.push_back({1, -1, side});\n    pattern.push_back({1, 1, side});\n    pattern.push_back({-1, 1, side});\n  }\n  assert(!pattern.empty());\n\n  if (side == -1) {\n    std::reverse(pattern.begin(), pattern.end());\n  }\n\n  std::vector<Vector3f> result;\n  for (auto& p : pattern) {\n    result.push_back(center + halflengths.cwiseProduct(p.cast<float>()));\n  }\n  return result;\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/Cuboid.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\nnamespace hex {\nstruct Cuboid {\n  Cuboid() = default;\n  Cuboid(const Vector3f& center, const Vector3f& halflengths);\n  static Cuboid FromBounds(const Vector3f& lower, const Vector3f& upper);\n  std::pair<Vector3f, Vector3f> GetBound();\n  void SetBound(const Vector3f& lower, const Vector3f& upper);\n\n  // GetFace returns 4 points on a face. ax_id can be 0, 1, 2 and side can be 1\n  // or -1.\n  std::vector<Vector3f> GetFace(int ax_id, int side);\n\n  Vector3f center{0.0f, 0.0f, 0.0f};\n  Vector3f halflengths{1.0f, 1.0f, 1.0f};\n};\n\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/GlobalState.cpp",
    "content": "#include \"GlobalState.h\"\n#include \"serialization/Serializer.h\"\n\nnamespace hex {\nvoid GlobalState::SetPolycube(std::unique_ptr<Polycube> polycube) {\n  polycube_ = std::move(polycube);\n}\n\nbool GlobalState::HasPolycube() const { return polycube_ != nullptr; }\n\nPolycube& GlobalState::GetPolycube() {\n  assert(HasPolycube());\n  return *polycube_;\n}\n\nvoid GlobalState::SetPolycubeInfo(std::unique_ptr<PolycubeInfo> info) {\n  polycube_info_ = std::move(info);\n}\n\nbool GlobalState::HasPolycubeInfo() const { return polycube_info_ != nullptr; }\n\nPolycubeInfo& GlobalState::GetPolycubeInfo() {\n  assert(HasPolycubeInfo());\n  return *polycube_info_;\n}\n\nvoid GlobalState::SetPolycubeComplex(\n    std::unique_ptr<HexComplex> polycube_complex) {\n  polycube_complex_ = std::move(polycube_complex);\n}\n\nHexComplex& GlobalState::GetPolycubeComplex() {\n  assert(HasPolycubeComplex());\n  return *polycube_complex_;\n}\n\nbool GlobalState::HasPolycubeComplex() const {\n  return polycube_complex_ != nullptr;\n}\n\nvoid GlobalState::SetTargetComplex(std::unique_ptr<HexComplex> target_complex) {\n  target_complex_ = std::move(target_complex);\n}\n\nbool GlobalState::HasTargetComplex() const {\n  return target_complex_ != nullptr;\n}\n\nHexComplex& GlobalState::GetTargetComplex() {\n  assert(HasTargetComplex());\n  return *target_complex_;\n}\n\nvoid GlobalState::SaveToFile(const std::string& file_path) {\n  Serializer::SaveState(*this, file_path);\n}\n\nconst Polycube& GlobalState::GetPolycube() const { return *polycube_; }\nconst PolycubeInfo& GlobalState::GetPolycubeInfo() const {\n  return *polycube_info_;\n}\nconst HexComplex& GlobalState::GetPolycubeComplex() const {\n  return *polycube_complex_;\n}\nconst HexComplex& GlobalState::GetTargetComplex() const {\n  return *target_complex_;\n}\n\nstd::unique_ptr<GlobalState> GlobalState::LoadFromFile(\n    const std::string& file_path) {\n  return Serializer::LoadState(file_path);\n}\n\nvoid GlobalState::SetTargetVolumeMesh(\n    std::unique_ptr<TetrahedralMesh> volume_mesh) {\n  target_volume_mesh_ = std::move(volume_mesh);\n}\n\nvoid GlobalState::SetDeformedVolumeMesh(\n    std::unique_ptr<TetrahedralMesh> volume_mesh) {\n  deformed_volume_mesh_ = std::move(volume_mesh);\n}\n\nbool GlobalState::HasTargetVolumeMesh() const {\n  return target_volume_mesh_ != nullptr;\n}\n\nbool GlobalState::HasDeformedVolumeMesh() const {\n  return deformed_volume_mesh_ != nullptr;\n}\n\nTetrahedralMesh& GlobalState::GetTargetVolumeMesh() {\n  assert(HasTargetVolumeMesh());\n  return *target_volume_mesh_;\n}\n\nTetrahedralMesh& GlobalState::GetDeformedVolumeMesh() {\n  assert(HasDeformedVolumeMesh());\n  return *deformed_volume_mesh_;\n}\n\nconst TetrahedralMesh& GlobalState::GetTargetVolumeMesh() const {\n  return *target_volume_mesh_;\n}\n\nconst TetrahedralMesh& GlobalState::GetDeformedVolumeMesh() const {\n  return *deformed_volume_mesh_;\n}\n\nvoid GlobalState::SetResultMesh(std::unique_ptr<HexahedralMesh> result_mesh) {\n  result_mesh_ = std::move(result_mesh);\n}\n\nbool GlobalState::HasResultMesh() const { return result_mesh_ != nullptr; }\n\nHexahedralMesh& GlobalState::GetResultMesh() { return *result_mesh_; }\n\nconst HexahedralMesh& GlobalState::GetResultMesh() const {\n  return *result_mesh_;\n}\n\nbool GlobalState::CheckPolycubeConsistency() const {\n  assert(HasPolycube() && HasPolycubeInfo());\n  return polycube_->GetCuboidCount() == polycube_info_->names.size() &&\n         polycube_info_->names.size() == polycube_info_->ordering.size();\n}\n\nconst std::unordered_map<std::string, float> GlobalState::GetFloatDict() const {\n  return float_dict_;\n}\n\nvoid GlobalState::SetFloat(const std::string& key, float val) {\n  float_dict_[key] = val;\n}\n\nfloat GlobalState::GetFloat(const std::string& key) {\n  return float_dict_.at(key);\n}\n\nbool GlobalState::HasFloat(const std::string& key) const {\n  return float_dict_.count(key) > 0;\n}\n\nconst std::unordered_map<std::string, Eigen::MatrixXf>\nGlobalState::GetMatrixXfDict() const {\n  return matrix_xf_dict_;\n}\n\nvoid GlobalState::SetMatrixXf(const std::string& key,\n                              const Eigen::MatrixXf& val) {\n  matrix_xf_dict_[key] = val;\n}\n\nconst Eigen::MatrixXf& GlobalState::GetMatrixXf(const std::string& key) const {\n  return matrix_xf_dict_.at(key);\n}\n\nbool GlobalState::HasMatrixXf(const std::string& key) const {\n  return matrix_xf_dict_.count(key) > 0;\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/GlobalState.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\n#include \"models/HexComplex.h\"\n#include \"models/Polycube.h\"\n#include \"models/PolycubeInfo.h\"\n#include \"models/TetrahedralMesh.h\"\n#include \"models/TriangularMesh.h\"\n\nnamespace hex {\nclass GlobalState {\n public:\n  void SaveToFile(const std::string& file_path);\n  static std::unique_ptr<GlobalState> LoadFromFile(\n      const std::string& file_path);\n\n  void SetTargetVolumeMesh(std::unique_ptr<TetrahedralMesh> volume_mesh);\n  void SetDeformedVolumeMesh(std::unique_ptr<TetrahedralMesh> volume_mesh);\n  void SetPolycube(std::unique_ptr<Polycube> polycube);\n  void SetPolycubeInfo(std::unique_ptr<PolycubeInfo> polycube_info);\n  void SetPolycubeComplex(std::unique_ptr<HexComplex> polycube_complex);\n  void SetTargetComplex(std::unique_ptr<HexComplex> target_complex);\n  void SetResultMesh(std::unique_ptr<HexahedralMesh> result_mesh);\n  void SetFloat(const std::string& key, float val);\n  void SetMatrixXf(const std::string& key, const Eigen::MatrixXf& matrix);\n\n  bool HasTargetVolumeMesh() const;\n  bool HasDeformedVolumeMesh() const;\n  bool HasPolycube() const;\n  bool HasPolycubeInfo() const;\n  bool HasPolycubeComplex() const;\n  bool HasTargetComplex() const;\n  bool HasResultMesh() const;\n  bool HasFloat(const std::string& key) const;\n  bool HasMatrixXf(const std::string& key) const;\n\n  TetrahedralMesh& GetTargetVolumeMesh();\n  TetrahedralMesh& GetDeformedVolumeMesh();\n  Polycube& GetPolycube();\n  PolycubeInfo& GetPolycubeInfo();\n  HexComplex& GetPolycubeComplex();\n  HexComplex& GetTargetComplex();\n  HexahedralMesh& GetResultMesh();\n  float GetFloat(const std::string& key);\n  const Eigen::MatrixXf& GetMatrixXf(const std::string& key) const;\n  const std::unordered_map<std::string, float> GetFloatDict() const;\n  const std::unordered_map<std::string, Eigen::MatrixXf> GetMatrixXfDict()\n      const;\n\n  const TetrahedralMesh& GetTargetVolumeMesh() const;\n  const TetrahedralMesh& GetDeformedVolumeMesh() const;\n  const Polycube& GetPolycube() const;\n  const PolycubeInfo& GetPolycubeInfo() const;\n  const HexComplex& GetPolycubeComplex() const;\n  const HexComplex& GetTargetComplex() const;\n  const HexahedralMesh& GetResultMesh() const;\n\n  bool CheckPolycubeConsistency() const;\n\n private:\n  std::unique_ptr<TetrahedralMesh> target_volume_mesh_;\n  std::unique_ptr<TetrahedralMesh> deformed_volume_mesh_;\n  std::unique_ptr<Polycube> polycube_;\n  std::unique_ptr<PolycubeInfo> polycube_info_;\n  std::unique_ptr<HexComplex> polycube_complex_;\n  std::unique_ptr<HexComplex> target_complex_;\n  std::unique_ptr<HexahedralMesh> result_mesh_;\n\n  std::unordered_map<std::string, float> float_dict_;\n  std::unordered_map<std::string, Eigen::MatrixXf> matrix_xf_dict_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/HexComplex.cpp",
    "content": "#include \"HexComplex.h\"\n\n#include <utility>\n\nnamespace hex {\nHexComplex::HexComplex(std::vector<Vector3f> vertices,\n                       std::vector<Vector4i> quads,\n                       std::vector<QuadComplex::Patch> patches,\n                       std::vector<Hex> hexes)\n    : vertices_{std::move(vertices)},\n      quads_{std::move(quads)},\n      patches_{std::move(patches)},\n      hexes_{std::move(hexes)} {\n  // Build the mapping to surface indices.\n  for (auto& quad : quads_) {\n    for (size_t k = 0; k < 4; k++) {\n      int v = quad[k];\n      if (!to_surface_index_.count(v)) {\n        to_surface_index_.emplace(v, surface_indices_.size());\n        surface_indices_.push_back(v);\n      }\n    }\n  }\n}\n\nconst QuadComplex& HexComplex::GetQuadComplex() const {\n  if (quad_complex_ == nullptr) {\n    BuildQuadComplex();\n  }\n  return *quad_complex_;\n}\n\nvoid HexComplex::BuildQuadComplex() const {\n  std::vector<Vector3f> surface_vertices;\n  for (auto i : surface_indices_) {\n    surface_vertices.push_back(vertices_[i]);\n  }\n\n  std::vector<Vector4i> surface_quads;\n  for (auto& quad : quads_) {\n    Vector4i surface_quad;\n    for (size_t k = 0; k < 4; k++) {\n      surface_quad[k] = static_cast<int>(to_surface_index_.at(quad[k]));\n    }\n    surface_quads.push_back(surface_quad);\n  }\n\n  quad_complex_ =\n      std::make_unique<QuadComplex>(surface_vertices, surface_quads, patches_);\n}\n\nvoid HexComplex::UpdateVertices(std::vector<Vector3f> vertices) {\n  assert(vertices.size() == vertices_.size());\n  vertices_ = std::move(vertices);\n  BuildQuadComplex();\n}\n\nvoid HexComplex::UpdateSingleVertex(size_t id, const Vector3f& new_position) {\n  vertices_.at(id) = new_position;\n  BuildQuadComplex();\n}\n\nvoid HexComplex::UpdateSurfaceVertices(\n    const std::vector<Vector3f>& surface_vertices) {\n  assert(surface_vertices.size() == surface_indices_.size());\n  for (size_t i = 0; i < surface_vertices.size(); i++) {\n    vertices_[surface_indices_[i]] = surface_vertices[i];\n  }\n  BuildQuadComplex();\n}\n\nstd::unique_ptr<HexahedralMesh> HexComplex::ExtractHexMesh() const {\n  return std::make_unique<HexahedralMesh>(GetVertices(), GetHexes());\n}\n\nHexComplex::HexComplex(const HexComplex& other)\n    : vertices_{other.vertices_},\n      quads_{other.quads_},\n      patches_{other.patches_},\n      hexes_{other.hexes_},\n      surface_indices_{other.surface_indices_},\n      to_surface_index_{other.to_surface_index_} {\n  if (other.quad_complex_ != nullptr) {\n    quad_complex_ = std::make_unique<QuadComplex>(*other.quad_complex_);\n  }\n}\n\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/HexComplex.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\n#include <unordered_map>\n\n#include \"HexahedralMesh.h\"\n#include \"QuadComplex.h\"\n\nnamespace hex {\n// HexComplex is a decorated version of HexahedralMesh resulted from a polycube\n// with surface quads divided into patches.\nclass HexComplex {\n public:\n  using Hex = std::vector<size_t>;\n\n  HexComplex(std::vector<Vector3f> vertices, std::vector<Vector4i> quads,\n             std::vector<QuadComplex::Patch> patches, std::vector<Hex> hexes);\n  HexComplex(const HexComplex& other);\n  HexComplex& operator=(const HexComplex& other) = delete;\n  ~HexComplex() = default;\n\n  const QuadComplex& GetQuadComplex() const;\n  void BuildQuadComplex() const;\n  const std::vector<Vector3f>& GetVertices() const { return vertices_; }\n  const std::vector<Vector4i>& GetQuads() const { return quads_; }\n  const std::vector<QuadComplex::Patch>& GetPatches() const { return patches_; }\n  const std::vector<Hex>& GetHexes() const { return hexes_; }\n  const std::vector<size_t>& GetSurfaceIndices() const {\n    return surface_indices_;\n  }\n  const std::unordered_map<size_t, size_t>& GetToSurfaceIndexDict() const {\n    return to_surface_index_;\n  }\n  void UpdateVertices(std::vector<Vector3f> vertices);\n  void UpdateSingleVertex(size_t id, const Vector3f& new_position);\n  void UpdateSurfaceVertices(const std::vector<Vector3f>& surface_vertices);\n  std::unique_ptr<HexahedralMesh> ExtractHexMesh() const;\n\n private:\n  std::vector<Vector3f> vertices_;\n  std::vector<Vector4i> quads_;              // surface quads\n  std::vector<QuadComplex::Patch> patches_;  // surface patches\n  std::vector<Hex> hexes_;\n  mutable std::unique_ptr<QuadComplex> quad_complex_;\n\n  std::vector<size_t> surface_indices_;  // indices of surface vertices\n  std::unordered_map<size_t, size_t> to_surface_index_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/HexConvention.cpp",
    "content": "#include \"HexConvention.h\"\n/*\n * Indices of hex corners denote the following:\n *\n *       2------3\n *      /|     /|\n *     6------7 |\n *     | |    | |\n *     | 0----|-1\n *     |/     |/\n *     4------5\n *\n *       y\n *       |\n *       |\n *       *----x\n *      /\n *     /\n *    z\n *\n */\n\nnamespace hex {\nHexConvention& HexConvention::GetInstance() {\n  static HexConvention instance;\n  return instance;\n}\n\nvoid HexConvention::BuildCorners() {\n  corners_ = std::make_unique<std::vector<Vector3i>>();\n  corner_to_id_ =\n      std::make_unique<std::unordered_map<Vector3i, size_t, Vector3iHasher>>();\n  for (int dz = 0; dz <= 1; dz++)\n    for (int dy = 0; dy <= 1; dy++)\n      for (int dx = 0; dx <= 1; dx++) {\n        auto corner = Vector3i{dx, dy, dz};\n        corner_to_id_->emplace(corner, corners_->size());\n        corners_->push_back(corner);\n      }\n}\n\nconst std::vector<Vector3i>& HexConvention::GetCorners() {\n  auto& instance = GetInstance();\n  if (!instance.corners_) {\n    instance.BuildCorners();\n  }\n  return *instance.corners_;\n}\n\nconst std::unordered_map<Vector3i, size_t, Vector3iHasher>&\nHexConvention::GetCornerToIdMap() {\n  auto& instance = GetInstance();\n  if (!instance.corner_to_id_) {\n    instance.BuildCorners();\n  }\n  return *instance.corner_to_id_;\n}\n\nconst std::vector<Eigen::MatrixXf>& HexConvention::GetCornerJacobians() {\n  auto& instance = GetInstance();\n  if (!instance.corner_jacobians_) {\n    auto& corners = instance.GetCorners();\n    auto& corner_to_id = instance.GetCornerToIdMap();\n\n    instance.corner_jacobians_ =\n        std::make_unique<std::vector<Eigen::MatrixXf>>();\n    for (int i = 0; i < 8; i++) {\n      // Build a Jacobian matrix from the 3 vertices closest to corner i.\n      auto c = corners[i];\n      auto nx = Vector3i{(c.x() + 1) % 2, c.y(), c.z()};\n      size_t ix = corner_to_id.at(nx);\n      auto ny = Vector3i{c.x(), (c.y() + 1) % 2, c.z()};\n      size_t iy = corner_to_id.at(ny);\n      auto nz = Vector3i{c.x(), c.y(), (c.z() + 1) % 2};\n      size_t iz = corner_to_id.at(nz);\n\n      Eigen::MatrixXf D = Eigen::MatrixXf::Zero(8, 3);\n      D(ix, 0) = 1;\n      D(i, 0) = -1;\n      D(iy, 1) = 1;\n      D(i, 1) = -1;\n      D(iz, 2) = 1;\n      D(i, 2) = -1;\n\n      Eigen::MatrixXd S = Eigen::MatrixXd::Zero(3, 3);\n      S.col(0) = (corners[ix] - corners[i]).cast<double>();\n      S.col(1) = (corners[iy] - corners[i]).cast<double>();\n      S.col(2) = (corners[iz] - corners[i]).cast<double>();\n\n      Eigen::MatrixXf J = D * S.inverse().cast<float>();\n\n      instance.corner_jacobians_->push_back(J);\n    }\n  }\n  return *instance.corner_jacobians_;\n}\n\nconst Eigen::MatrixXf& HexConvention::GetPrincipleAxes() {\n  auto& instance = GetInstance();\n  if (!instance.principal_axes_) {\n    auto& corners = instance.GetCorners();\n    Eigen::MatrixXf H = Eigen::MatrixXf::Zero(8, 3);\n    for (int i = 0; i < 8; i++) {\n      auto c = corners[i];\n      H(i, 0) = c.x() == 0 ? -1 : 1;\n      H(i, 1) = c.y() == 0 ? -1 : 1;\n      H(i, 2) = c.z() == 0 ? -1 : 1;\n    }\n    instance.principal_axes_ = std::make_unique<Eigen::MatrixXf>(H);\n  }\n  return *instance.principal_axes_;\n}\n\nconst std::vector<Vector3i>& HexConvention::GetFaceOffsets() {\n  auto& instance = GetInstance();\n  if (!instance.face_offsets_) {\n    instance.face_offsets_ = std::make_unique<std::vector<Vector3i>>(\n        std::vector<Vector3i>{{-1, 0, 0},\n                              {1, 0, 0},\n                              {0, -1, 0},\n                              {0, 1, 0},\n                              {0, 0, -1},\n                              {0, 0, 1}});\n  }\n  return *instance.face_offsets_;\n}\n\nconst std::unordered_map<Vector3i, size_t, Vector3iHasher>&\nHexConvention::GetFaceOffsetToId() {\n  auto& instance = GetInstance();\n  if (!instance.face_offset_to_id_) {\n    instance.face_offset_to_id_ = std::make_unique<\n        std::unordered_map<Vector3i, size_t, Vector3iHasher>>();\n    auto& face_offsets = GetFaceOffsets();\n    for (size_t i = 0; i < 6; i++) {\n      (*instance.face_offset_to_id_)[face_offsets[i]] = i;\n    }\n  }\n  return *instance.face_offset_to_id_;\n}\n\nconst std::vector<std::vector<size_t>>& HexConvention::GetFaceCornerIds() {\n  auto& instance = GetInstance();\n  if (!instance.face_corner_ids_) {\n    instance.face_corner_ids_ =\n        std::make_unique<std::vector<std::vector<size_t>>>(\n            std::vector<std::vector<size_t>>{{0, 4, 6, 2},\n                                             {1, 3, 7, 5},\n                                             {0, 1, 5, 4},\n                                             {2, 6, 7, 3},\n                                             {0, 2, 3, 1},\n                                             {4, 5, 7, 6}});\n  }\n  return *instance.face_corner_ids_;\n}\n\nconst std::vector<std::vector<size_t>>&\nHexConvention::GetOppositeFaceCornerIds() {\n  auto& instance = GetInstance();\n  if (!instance.opposite_face_corner_ids_) {\n    instance.opposite_face_corner_ids_ =\n        std::make_unique<std::vector<std::vector<size_t>>>(\n            std::vector<std::vector<size_t>>{{1, 5, 7, 3},\n                                             {0, 2, 6, 4},\n                                             {2, 3, 7, 6},\n                                             {0, 4, 5, 1},\n                                             {4, 6, 7, 5},\n                                             {0, 1, 3, 2}});\n  }\n  return *instance.opposite_face_corner_ids_;\n}\n\nvoid HexConvention::Initialize() {\n  // Initialize ahead to prevent race conditions.\n  GetCorners();\n  GetCornerJacobians();\n  GetCornerToIdMap();\n  GetPrincipleAxes();\n  GetFaceOffsets();\n  GetFaceOffsetToId();\n  GetFaceCornerIds();\n  GetOppositeFaceCornerIds();\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/HexConvention.h",
    "content": "#include \"common.h\"\n\nnamespace hex {\nclass HexConvention {\n public:\n  HexConvention(HexConvention&) = delete;\n  HexConvention& operator=(const HexConvention&) = delete;\n\n  static const std::vector<Vector3i>& GetCorners();\n  static const std::vector<Eigen::MatrixXf>& GetCornerJacobians();\n  static const std::unordered_map<Vector3i, size_t, Vector3iHasher>&\n  GetCornerToIdMap();\n  static const Eigen::MatrixXf& GetPrincipleAxes();\n\n  static const std::vector<Vector3i>& GetFaceOffsets();\n  static const std::unordered_map<Vector3i, size_t, Vector3iHasher>&\n  GetFaceOffsetToId();\n  static const std::vector<std::vector<size_t>>& GetFaceCornerIds();\n  static const std::vector<std::vector<size_t>>& GetOppositeFaceCornerIds();\n\n  // Initialize should be called once at the start.\n  static void Initialize();\n\n private:\n  HexConvention() = default;\n\n  static HexConvention& GetInstance();\n  void BuildCorners();\n\n  // 8 corners of a standard hex with coordinates in {0, 1}.\n  std::unique_ptr<std::vector<Vector3i>> corners_;\n\n  // This maps Vector3i (e.g. (0,0,0) -> 0, (1,1,1) -> 7) to corner id.\n  std::unique_ptr<std::unordered_map<Vector3i, size_t, Vector3iHasher>>\n      corner_to_id_;\n\n  // A list of 8x3 matrices Z's so that if X is a 8x3 matrix encoding the\n  // positions of a hex, then X^T Z is a 3x3 matrix of the Hessian.\n  std::unique_ptr<std::vector<Eigen::MatrixXf>> corner_jacobians_;\n\n  // A 8x3 matrix that extracts the principal axes of a hex.\n  std::unique_ptr<Eigen::MatrixXf> principal_axes_;\n\n  // List of 6 face offsets.\n  std::unique_ptr<std::vector<Vector3i>> face_offsets_;\n  // Inverse of face_offsets_;\n  std::unique_ptr<std::unordered_map<Vector3i, size_t, Vector3iHasher>>\n      face_offset_to_id_;\n  // List of 6 quadruples representing corner ids of each face.\n  std::unique_ptr<std::vector<std::vector<size_t>>> face_corner_ids_;\n  std::unique_ptr<std::vector<std::vector<size_t>>> opposite_face_corner_ids_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/HexMeshQuality.cpp",
    "content": "#include \"HexMeshQuality.h\"\n\n#include <stdexcept>\n\n#include \"HexConvention.h\"\n#include \"HexahedralMesh.h\"\n#include \"TriangularMesh.h\"\n\nnamespace hex {\n\nnamespace {\nfloat EvaluateScaledJacobian(const Eigen::MatrixXf& positions) {\n  // positions is 8x3.\n  auto& corner_jacobians = HexConvention::GetCornerJacobians();\n  float dets[9];\n  for (int i = 0; i < 8; i++) {\n    Eigen::MatrixXf J = positions.transpose() * corner_jacobians[i];\n    J.colwise().normalize();\n    dets[i] = J.determinant();\n  }\n\n  // Add in the Jacobian coming from principal axes.\n  auto& H = HexConvention::GetPrincipleAxes();\n  Eigen::MatrixXf J = positions.transpose() * H;\n  J.colwise().normalize();\n  dets[8] = J.determinant();\n\n  return *std::min_element(dets, dets + 9);\n}\n\nfloat EvaluateJacobian(const Eigen::MatrixXf& positions) {\n  // positions is 8x3.\n  auto& corner_jacobians = HexConvention::GetCornerJacobians();\n  float dets[9];\n  for (int i = 0; i < 8; i++) {\n    Eigen::MatrixXf J = positions.transpose() * corner_jacobians[i];\n    dets[i] = J.determinant();\n  }\n\n  // Add in the Jacobian coming from principal axes.\n  auto& H = HexConvention::GetPrincipleAxes();\n  Eigen::MatrixXf J = positions.transpose() * H;\n  dets[8] = J.determinant() / 64.0f;\n\n  return *std::min_element(dets, dets + 9);\n}\n\n}  // namespace\n\nHexMeshQuality::HexMeshQuality(const HexahedralMesh& mesh) : mesh_{mesh} {}\n\nconst Eigen::VectorXf& HexMeshQuality::GetQuality(HexQualityType type) const {\n  switch (type) {\n    case HexQualityType::ScaledJacobian:\n      return GetScaledJacobians();\n    case HexQualityType::Jacobian:\n      return GetJacobians();\n    default:\n      throw std::runtime_error(\"Unknown hex quality type!\");\n  }\n}\n\nconst Eigen::VectorXf& HexMeshQuality::GetScaledJacobians() const {\n  if (!scaled_jacobians_) {\n    auto& hexes = mesh_.GetHexes();\n    auto vertices = mesh_.GetVertices();\n    scaled_jacobians_ = std::make_unique<Eigen::VectorXf>(hexes.size());\n#pragma omp parallel for\n    for (int i = 0; i < static_cast<int>(hexes.size()); i++) {\n      auto& hex = hexes[i];\n      Eigen::MatrixXf positions = Eigen::MatrixXf::Zero(8, 3);\n      for (int k = 0; k < 8; k++) {\n        positions.row(k) = vertices[hex[k]];\n      }\n      (*scaled_jacobians_)(i) = EvaluateScaledJacobian(positions);\n    }\n  }\n  return *scaled_jacobians_;\n}\n\nconst Eigen::VectorXf& HexMeshQuality::GetJacobians() const {\n  if (!jacobians_) {\n    auto& hexes = mesh_.GetHexes();\n    auto vertices = mesh_.GetVertices();\n    jacobians_ = std::make_unique<Eigen::VectorXf>(hexes.size());\n#pragma omp parallel for\n    for (int i = 0; i < static_cast<int>(hexes.size()); i++) {\n      auto& hex = hexes[i];\n      Eigen::MatrixXf positions = Eigen::MatrixXf::Zero(8, 3);\n      for (int k = 0; k < 8; k++) {\n        positions.row(k) = vertices[hex[k]];\n      }\n      (*jacobians_)(i) = EvaluateJacobian(positions);\n    }\n  }\n  return *jacobians_;\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/HexMeshQuality.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\nnamespace hex {\nenum class HexQualityType { ScaledJacobian, Jacobian };\n\nclass TriangularMesh;\nclass HexahedralMesh;\nclass HexMeshQuality {\n public:\n  HexMeshQuality(const HexahedralMesh& mesh);\n\n  const Eigen::VectorXf& GetQuality(HexQualityType type) const;\n  const Eigen::VectorXf& GetScaledJacobians() const;\n  const Eigen::VectorXf& GetJacobians() const;\n\n private:\n  const HexahedralMesh& mesh_;\n\n  mutable std::unique_ptr<Eigen::VectorXf> scaled_jacobians_;\n  mutable std::unique_ptr<Eigen::VectorXf> jacobians_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/HexahedralMesh.cpp",
    "content": "#include \"HexahedralMesh.h\"\n\n#include \"HexMeshQuality.h\"\n#include \"serialization/Serializer.h\"\n\nnamespace hex {\nHexahedralMesh::HexahedralMesh(const std::string& file_name) {\n  auto mesh = Serializer::LoadHexMesh(file_name);\n  vertices_ = mesh->GetVertices();\n  hexes_ = mesh->GetHexes();\n}\n\nHexahedralMesh::HexahedralMesh(std::vector<Vector3f> vertices,\n                               std::vector<Hex> hexes)\n    : vertices_{std::move(vertices)}, hexes_{std::move(hexes)} {}\n\nconst std::vector<Vector3f>& HexahedralMesh::GetVertices() const {\n  return vertices_;\n}\n\nconst std::vector<HexahedralMesh::Hex>& HexahedralMesh::GetHexes() const {\n  return hexes_;\n}\n\nconst HexMeshQuality& HexahedralMesh::GetMeshQuality() const {\n  if (!mesh_quality_) {\n    mesh_quality_ = std::make_unique<HexMeshQuality>(*this);\n  }\n  return *mesh_quality_;\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/HexahedralMesh.h",
    "content": "#pragma once\n\n#include \"HexMeshQuality.h\"\n#include \"common.h\"\n\nnamespace hex {\nclass HexahedralMesh {\n public:\n  using Hex = std::vector<size_t>;\n\n  HexahedralMesh(const std::string& file_name);\n  HexahedralMesh(std::vector<Vector3f> vertices, std::vector<Hex> hexes);\n  const std::vector<Vector3f>& GetVertices() const;\n  const std::vector<Hex>& GetHexes() const;\n  const HexMeshQuality& GetMeshQuality() const;\n\n private:\n  std::vector<Vector3f> vertices_;\n  std::vector<Hex> hexes_;\n  mutable std::unique_ptr<HexMeshQuality> mesh_quality_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/MultiDimArray.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\nnamespace hex {\ntemplate <typename T>\nclass Array2D {\n public:\n  Array2D(int n0, int n1) {\n    dims_[0] = n0;\n    dims_[1] = n1;\n    data_.resize(n0 * n1);\n  }\n\n  T& operator()(int i, int j) { return data_[GetIndex(i, j)]; }\n  T operator()(int i, int j) const { return data_[GetIndex(i, j)]; }\n  int GetDim(int d) const {\n    assert(0 <= d && d <= 1);\n    return dims_[d];\n  }\n  T* GetDataPtr() { return data_.data(); }\n\n private:\n  int GetIndex(int i, int j) { return i * dims_[1] + j; }\n\n  int dims_[2];\n  std::vector<T> data_;\n};\n\ntemplate <typename T>\nclass Array3D {\n public:\n  Array3D(int n0, int n1, int n2) {\n    dims_[0] = n0;\n    dims_[1] = n1;\n    dims_[2] = n2;\n    data_.resize(n0 * n1 * n2);\n  }\n\n  T& operator()(int i, int j, int k) { return data_[GetIndex(i, j, k)]; }\n  T operator()(int i, int j, int k) const { return data_[GetIndex(i, j, k)]; }\n  int GetDim(int d) const {\n    assert(0 <= d && d <= 2);\n    return dims_[d];\n  }\n  T* GetDataPtr() { return data_.data(); }\n\n private:\n  int GetIndex(int i, int j, int k) {\n    return i * (dims_[1] * dims_[2]) + j * dims_[2] + k;\n  }\n\n  int dims_[3];\n  std::vector<T> data_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/Polycube.cpp",
    "content": "#include \"Polycube.h\"\n\n#include \"logging.h\"\n\nnamespace hex {\nCuboid& Polycube::GetCuboid(size_t index) { return cuboids_.at(index); }\n\nconst Cuboid& Polycube::GetCuboid(size_t index) const {\n  return cuboids_.at(index);\n}\n\nvoid Polycube::AddCuboid(const Cuboid& cuboid) {\n  cuboids_.push_back(cuboid);\n}\n\nvoid Polycube::DeleteCuboid(int i) { cuboids_.erase(cuboids_.begin() + i); }\n\nsize_t Polycube::GetCuboidCount() const { return cuboids_.size(); }\n\nPolycube::Polycube(const Eigen::MatrixXf& matrix) {\n  for (int i = 0; i < matrix.rows(); i++) {\n    Eigen::VectorXf p = matrix.row(i);\n    AddCuboid(Cuboid({p[3], p[4], p[5]}, {p[0], p[1], p[2]}));\n  }\n}\n\nEigen::MatrixXf Polycube::ToMatrix() const {\n  Eigen::MatrixXf res{GetCuboidCount(), 6};\n  for (int i = 0; i < res.rows(); i++) {\n    auto& cuboid = cuboids_[i];\n    // For legacy reasons, halflengths is placed before center.\n    res.block<1, 3>(i, 0) = cuboid.halflengths;\n    res.block<1, 3>(i, 3) = cuboid.center;\n  }\n  return res;\n}\n\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/Polycube.h",
    "content": "#pragma once\n\n#include \"models/Cuboid.h\"\n\nnamespace hex {\nclass Polycube {\n public:\n  Polycube() = default;\n  Polycube(const Eigen::MatrixXf& params);\n  size_t GetCuboidCount() const;\n  Cuboid& GetCuboid(size_t index);\n  const Cuboid& GetCuboid(size_t index) const;\n  void AddCuboid(const Cuboid& cuboid);\n  void DeleteCuboid(int i);\n\n  Eigen::MatrixXf ToMatrix() const;\n\n private:\n  std::vector<Cuboid> cuboids_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/PolycubeGraph.cpp",
    "content": "#include \"PolycubeGraph.h\"\n\n#include <queue>\n\n#include \"logging.h\"\n#include \"models/HexConvention.h\"\n\nnamespace hex {\nnamespace {\nconst float kPaddingFraction = 0.2f;\n}  // namespace\n\nPolycubeGraph::PolycubeGraph(const Polycube& initial_polycube, float hex_size,\n                             bool round_to_nearest)\n    : hex_size_{hex_size}, round_to_nearest_{round_to_nearest} {\n  std::vector<AABB> aabbs;\n  for (size_t i = 0; i < initial_polycube.GetCuboidCount(); i++) {\n    const auto& cuboid = initial_polycube.GetCuboid(i);\n    aabbs.emplace_back(cuboid);\n  }\n  Integralize(aabbs);\n  GenerateGrid(aabbs);\n  GenerateGraph();\n}\n\nPolycubeGraph::PolycubeGraph(const std::vector<Vector3i>& hexes, float hex_size)\n    : hex_size_{hex_size} {\n  GenerateGrid(hexes);\n  GenerateGraph();\n}\n\nvoid PolycubeGraph::Integralize(std::vector<AABB>& aabbs) {\n  for (auto& aabb : aabbs) {\n    if (round_to_nearest_) {\n      aabb.cmin_i = (aabb.cmin_f / hex_size_).array().round().cast<int>();\n      aabb.cmax_i = (aabb.cmax_f / hex_size_).array().round().cast<int>();\n    } else {\n      aabb.cmin_i = (aabb.cmin_f / hex_size_).array().floor().cast<int>();\n      aabb.cmax_i = (aabb.cmax_f / hex_size_).array().ceil().cast<int>();\n    }\n    aabb.is_integral = true;\n  }\n}\n\nvoid PolycubeGraph::GenerateGraph() {\n  patches_.clear();\n  for (auto& kv : coord_to_hex_) {\n    auto& hex = kv.second;\n    for (size_t d = 0; d < 6; d++) {\n      auto& face = hex.faces[d];\n      if (face.patch_id == -1 && IsSurfaceFace(face)) {\n        patches_.push_back(FloodfillPatch(face, patches_.size()));\n      }\n    }\n  }\n}\n\nvoid PolycubeGraph::GenerateGrid(const std::vector<AABB>& aabbs) {\n  coord_to_point_.clear();\n  id_to_point_.clear();\n\n  for (auto& aabb : aabbs) {\n    assert(aabb.is_integral);\n    for (int z = aabb.cmin_i[2]; z <= aabb.cmax_i[2]; z++)\n      for (int y = aabb.cmin_i[1]; y <= aabb.cmax_i[1]; y++)\n        for (int x = aabb.cmin_i[0]; x <= aabb.cmax_i[0]; x++) {\n          Vector3i coord{x, y, z};\n          if (coord_to_point_.count(coord) == 0) {\n            auto itr =\n                coord_to_point_.try_emplace(coord, id_to_point_.size(), coord);\n            id_to_point_.push_back(&itr.first->second);\n          }\n        }\n  }\n\n  coord_to_hex_.clear();\n  id_to_hex_.clear();\n  for (auto& aabb : aabbs) {\n    assert(aabb.is_integral);\n    for (int z = aabb.cmin_i[2]; z < aabb.cmax_i[2]; z++)\n      for (int y = aabb.cmin_i[1]; y < aabb.cmax_i[1]; y++)\n        for (int x = aabb.cmin_i[0]; x < aabb.cmax_i[0]; x++) {\n          Vector3i coord{x, y, z};\n          if (coord_to_hex_.count(coord) == 0) {\n            auto itr =\n                coord_to_hex_.try_emplace(coord, id_to_hex_.size(), coord);\n            id_to_hex_.push_back(&itr.first->second);\n          }\n        }\n  }\n}\n\nvoid PolycubeGraph::GenerateGrid(const std::vector<Vector3i>& hexes) {\n  coord_to_point_.clear();\n  id_to_point_.clear();\n\n  for (auto& hex : hexes) {\n    for (int dz = 0; dz <= 1; dz++)\n      for (int dy = 0; dy <= 1; dy++)\n        for (int dx = 0; dx <= 1; dx++) {\n          Vector3i coord = hex + Vector3i{dx, dy, dz};\n          if (coord_to_point_.count(coord) == 0) {\n            auto itr =\n                coord_to_point_.try_emplace(coord, id_to_point_.size(), coord);\n            id_to_point_.push_back(&itr.first->second);\n          }\n        }\n  }\n\n  coord_to_hex_.clear();\n  id_to_hex_.clear();\n  for (auto& hex : hexes) {\n    auto itr = coord_to_hex_.try_emplace(hex, id_to_hex_.size(), hex);\n    id_to_hex_.push_back(&itr.first->second);\n  }\n}\n\nPolycubeGraph::Patch PolycubeGraph::FloodfillPatch(\n    PolycubeGraph::GridHexFace& start_face, size_t patch_id) {\n  Patch patch;\n\n  std::queue<GridHexFace*> queue;\n  queue.push(&start_face);\n  start_face.patch_id = static_cast<int>(patch_id);\n\n  while (!queue.empty()) {\n    GridHexFace* face = queue.front();\n    queue.pop();\n    patch.faces.push_back(face);\n\n    auto& kFaceOffsets = HexConvention::GetFaceOffsets();\n    auto& kFaceOffsetToId = HexConvention::GetFaceOffsetToId();\n    for (size_t d = 0; d < 6; d++) {\n      auto& offset = kFaceOffsets[d];\n      if (offset == face->offset || offset == -face->offset) {\n        // Expand only along non-normal directions.\n        continue;\n      }\n      auto next_hex_coord = face->hex.coord + offset;\n      auto next_hex_it = coord_to_hex_.find(next_hex_coord);\n      if (next_hex_it != coord_to_hex_.end()) {\n        auto& next_hex = next_hex_it->second;\n        auto& next_face = next_hex.faces[kFaceOffsetToId.at(face->offset)];\n        if (IsSurfaceFace(next_face) && next_face.patch_id == -1) {\n          next_face.patch_id = static_cast<int>(patch_id);\n          queue.push(&next_face);\n        }\n      }\n    }\n  }\n  return patch;\n}\n\nbool PolycubeGraph::IsSurfaceFace(const GridHexFace& face) {\n  return coord_to_hex_.count(face.hex.coord + face.offset) == 0;\n}\n\nsize_t PolycubeGraph::GetHexIdFromQuadId(size_t quad_id) const {\n  return quad_id_to_face_.at(quad_id)->hex.id;\n}\n\nstd::vector<size_t> PolycubeGraph::GetHexesOnSamePatch(size_t quad_id) const {\n  int patch_id = quad_id_to_face_.at(quad_id)->patch_id;\n  assert(patch_id != -1);\n  std::vector<size_t> result;\n  for (auto face : patches_[patch_id].faces) {\n    result.push_back(face->hex.id);\n  }\n  return result;\n}\n\nVector3i PolycubeGraph::GetExtrusionCoord(size_t quad_id) const {\n  auto face = quad_id_to_face_.at(quad_id);\n  return face->hex.coord + face->offset;\n}\n\nstd::vector<Vector3i> PolycubeGraph::GetExtrusionPatch(size_t quad_id) const {\n  int patch_id = quad_id_to_face_.at(quad_id)->patch_id;\n  assert(patch_id != -1);\n  std::vector<Vector3i> result;\n  for (auto face : patches_[patch_id].faces) {\n    result.push_back(face->hex.coord + face->offset);\n  }\n  return result;\n}\n\nVector3i PolycubeGraph::GetHexCoord(size_t hex_id) const {\n  return id_to_hex_.at(hex_id)->coord;\n}\n\nstd::vector<Vector3i> PolycubeGraph::GetAllHexCoords() const {\n  std::vector<Vector3i> result;\n  for (auto& hex : id_to_hex_) {\n    result.push_back(hex->coord);\n  }\n  return result;\n}\n\nstd::unique_ptr<QuadComplex> PolycubeGraph::GenerateQuadComplex() {\n  // A faster version of GenerateHexComplex().GetQuadComplex().\n  quad_id_to_face_.clear();\n\n  std::vector<Vector4i> complex_quads;\n  std::vector<QuadComplex::Patch> complex_patches;\n  ExtractQuadComplex(complex_quads, complex_patches, &quad_id_to_face_);\n\n  std::vector<size_t> surface_indices;  // indices of surface vertices\n  std::unordered_map<size_t, size_t> to_surface_index;\n  for (auto& quad : complex_quads) {\n    for (size_t k = 0; k < 4; k++) {\n      int v = quad[k];\n      if (!to_surface_index.count(v)) {\n        to_surface_index.emplace(v, surface_indices.size());\n        surface_indices.push_back(v);\n      }\n    }\n  }\n\n  std::vector<Vector3f> surface_vertices;\n  for (auto i : surface_indices) {\n    surface_vertices.push_back(id_to_point_[i]->coord.cast<float>() *\n                               hex_size_);\n  }\n\n  std::vector<Vector4i> surface_quads;\n  for (auto& quad : complex_quads) {\n    Vector4i surface_quad;\n    for (size_t k = 0; k < 4; k++) {\n      surface_quad[k] = static_cast<int>(to_surface_index.at(quad[k]));\n    }\n    surface_quads.push_back(surface_quad);\n  }\n\n  return std::make_unique<QuadComplex>(surface_vertices, surface_quads,\n                                       complex_patches);\n}\n\nvoid PolycubeGraph::ExtractQuadComplex(\n    std::vector<Vector4i>& complex_quads,\n    std::vector<QuadComplex::Patch>& complex_patches,\n    std::vector<const GridHexFace*>* quad_id_to_face) {\n  auto& kFaceCornerIds = HexConvention::GetFaceCornerIds();\n  for (auto& p : patches_) {\n    QuadComplex::Patch complex_patch;\n    auto& faces = p.faces;\n    for (auto& face : faces) {\n      auto& corners = kFaceCornerIds[face->face_id];\n      auto hex_corners = GetHexCorners(face->hex);\n      complex_patch.push_back(complex_quads.size());\n      complex_quads.emplace_back(\n          hex_corners[corners[0]]->id, hex_corners[corners[1]]->id,\n          hex_corners[corners[2]]->id, hex_corners[corners[3]]->id);\n\n      for (int k = 0; k < 4; k++) {\n        assert(complex_quads.back()(k) < id_to_point_.size());\n      }\n      if (quad_id_to_face) {\n        quad_id_to_face->push_back(face);\n      }\n    }\n    complex_patches.push_back(complex_patch);\n  }\n}\n\nstd::unique_ptr<HexComplex> PolycubeGraph::GenerateHexComplex(bool padding) {\n  std::vector<Vector3f> complex_vertices;\n  for (auto& p : id_to_point_) {\n    complex_vertices.push_back(p->coord.cast<float>() * hex_size_);\n  }\n\n  std::vector<Vector4i> complex_quads;\n  std::vector<QuadComplex::Patch> complex_patches;\n  ExtractQuadComplex(complex_quads, complex_patches, &quad_id_to_face_);\n\n  std::vector<HexComplex::Hex> complex_hexes;\n  for (auto& kv : coord_to_hex_) {\n    GridHex& h = kv.second;\n    auto corners = GetHexCorners(h);\n    HexComplex::Hex hex;\n    for (size_t k = 0; k < 8; k++) {\n      hex.push_back(corners[k]->id);\n    }\n    complex_hexes.push_back(hex);\n  }\n\n  if (padding) {\n    // Change vertices and hexes, but keep quads and patches the same.\n\n    auto& kFaceCornerIds = HexConvention::GetFaceCornerIds();\n    auto& kOppositeFaceCornerIds = HexConvention::GetOppositeFaceCornerIds();\n    std::unordered_map<size_t, size_t> new_layer_dict;\n    std::vector<size_t> new_layer_to_old_id;\n    std::vector<Vector3f> vertex_normals;\n    std::vector<bool> is_hex_on_border(complex_hexes.size(), false);\n    size_t new_layer_count = 0;\n    for (auto& f : quad_id_to_face_) {\n      is_hex_on_border[f->hex.id] = true;\n      auto& corners = kFaceCornerIds[f->face_id];\n      std::vector<GridPoint*> hex_corners = GetHexCorners(f->hex);\n\n      Vector3f normal;\n      {\n        Vector3f p0 = hex_corners[corners[0]]->coord.cast<float>();\n        Vector3f p1 = hex_corners[corners[1]]->coord.cast<float>();\n        Vector3f p2 = hex_corners[corners[2]]->coord.cast<float>();\n        normal = (p1 - p0).cross(p2 - p0);\n      }\n      for (int k = 0; k < 4; k++) {\n        auto id = hex_corners[corners[k]]->id;\n        if (!new_layer_dict.count(id)) {\n          new_layer_to_old_id.push_back(id);\n          new_layer_dict.emplace(id, new_layer_count++);\n          vertex_normals.emplace_back(normal);\n        } else {\n          vertex_normals[new_layer_dict[id]] += normal;\n        }\n      }\n    }\n\n    std::vector<Vector3f> new_layer_vertices;\n    for (int i = 0; i < new_layer_count; i++) {\n      vertex_normals[i].normalize();\n      new_layer_vertices.emplace_back(complex_vertices[new_layer_to_old_id[i]] -\n                                      kPaddingFraction * vertex_normals[i] *\n                                          hex_size_);\n    }\n    std::vector<HexComplex::Hex> new_layer_hexes;\n    for (auto& f : quad_id_to_face_) {\n      // Each border face gives rise to two new hexes (and one deletion).\n      auto& corners = kFaceCornerIds[f->face_id];\n      auto& op_corners = kOppositeFaceCornerIds[f->face_id];\n      std::vector<GridPoint*> hex_corners =\n          GetHexCorners(f->hex);  // old corners\n\n      size_t top_ids[4];\n      size_t mid_ids[4];\n      size_t bot_ids[4];\n      for (int k = 0; k < 4; k++) {\n        top_ids[k] = hex_corners[corners[k]]->id;\n        mid_ids[k] = new_layer_dict[hex_corners[corners[k]]->id] +\n                     complex_vertices.size();\n        bot_ids[k] = hex_corners[op_corners[k]]->id;\n      }\n      new_layer_hexes.push_back({mid_ids[0], mid_ids[3], top_ids[0], top_ids[3],\n                                 mid_ids[1], mid_ids[2], top_ids[1],\n                                 top_ids[2]});\n    }\n\n    for (int i = 0; i < (int)complex_hexes.size(); i++) {\n      for (int j = 0; j < 8; j++) {\n        if (new_layer_dict.count(complex_hexes[i][j])) {\n          complex_hexes[i][j] =\n              new_layer_dict[complex_hexes[i][j]] + complex_vertices.size();\n        }\n      }\n    }\n    complex_hexes.insert(complex_hexes.end(), new_layer_hexes.begin(),\n                         new_layer_hexes.end());\n\n    complex_vertices.insert(complex_vertices.end(), new_layer_vertices.begin(),\n                            new_layer_vertices.end());\n  }\n\n\n  LOGI(\n      \"Generate a hex complex with {} vertices, {} quads, {} patches, and {} \"\n      \"hexes.\",\n      complex_vertices.size(), complex_quads.size(), complex_patches.size(),\n      complex_hexes.size());\n  return std::make_unique<HexComplex>(complex_vertices, complex_quads,\n                                      complex_patches, complex_hexes);\n}\n\nstd::vector<PolycubeGraph::GridPoint*> PolycubeGraph::GetHexCorners(\n    const GridHex& hex) {\n  std::vector<GridPoint*> result;\n  for (int dz = 0; dz <= 1; dz++)\n    for (int dy = 0; dy <= 1; dy++)\n      for (int dx = 0; dx <= 1; dx++) {\n        Vector3i coord = hex.coord + Vector3i{dx, dy, dz};\n        auto it = coord_to_point_.find(coord);\n        assert(it != coord_to_point_.end());\n        result.push_back(&it->second);\n      }\n  return result;\n}\n\nPolycubeGraph::AABB::AABB(const Cuboid& cuboid)\n    : cmin_f{cuboid.center - cuboid.halflengths},\n      cmax_f{cuboid.center + cuboid.halflengths} {}\n\nPolycubeGraph::GridHex::GridHex(size_t hex_id, const Vector3i& coord)\n    : id{hex_id}, coord{coord} {\n  auto& kFaceOffsets = HexConvention::GetFaceOffsets();\n  for (size_t i = 0; i < 6; i++) {\n    faces.emplace_back(*this, kFaceOffsets[i], i);\n  }\n}\n\nPolycubeGraph::GridHexFace::GridHexFace(const PolycubeGraph::GridHex& hex,\n                                        const Vector3i& offset, size_t face_id)\n    : hex{hex}, offset{offset}, face_id{face_id} {}\n\nbool PolycubeGraph::GridHexFace::operator==(\n    const PolycubeGraph::GridHexFace& other) const {\n  return hex.id == other.hex.id && offset == other.offset;\n}\n\nPolycubeGraph::GridPoint::GridPoint(size_t id, const Vector3i& coord)\n    : id{id}, coord{coord} {}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/PolycubeGraph.h",
    "content": "#pragma once\n\n#include \"HexComplex.h\"\n#include \"Polycube.h\"\n\nnamespace hex {\nclass PolycubeGraph {\n public:\n  PolycubeGraph(const Polycube& initial_polycube, float hex_size_,\n                bool round_to_nearest);\n  PolycubeGraph(const std::vector<Vector3i>& hexes, float hex_size);\n\n  PolycubeGraph(const PolycubeGraph&) = delete;\n  PolycubeGraph& operator=(const PolycubeGraph&) = delete;\n\n  float GetHexSize() const { return hex_size_; }\n  std::unique_ptr<QuadComplex> GenerateQuadComplex();\n  std::unique_ptr<HexComplex> GenerateHexComplex(bool padding);\n  static const std::vector<std::vector<size_t>>& GetFaceCornerIds();\n\n  // Support for changing the discretized polycube.\n  size_t GetHexIdFromQuadId(size_t quad_id) const;\n  std::vector<size_t> GetHexesOnSamePatch(size_t quad_id) const;\n  std::vector<Vector3i> GetExtrusionPatch(size_t quad_id) const;\n  Vector3i GetExtrusionCoord(size_t quad_id) const;\n  Vector3i GetHexCoord(size_t hex_id) const;\n  std::vector<Vector3i> GetAllHexCoords() const;\n\n private:\n  struct AABB {\n    AABB(const Cuboid& cuboid);\n\n    Vector3f cmin_f;\n    Vector3f cmax_f;\n    Vector3i cmin_i;\n    Vector3i cmax_i;\n    bool is_integral{false};\n  };\n\n  struct GridPoint {\n    GridPoint(size_t id, const Vector3i& coord);\n    GridPoint(const GridPoint&) = delete;\n    GridPoint& operator=(const GridPoint&) = delete;\n    size_t id;\n    Vector3i coord;\n  };\n\n  struct GridHex;\n\n  struct GridHexFace {\n    GridHexFace(const GridHex& hex, const Vector3i& offset, size_t face_id);\n    const GridHex& hex;\n    Vector3i offset;\n    int patch_id{-1};\n    size_t face_id;\n    bool operator==(const GridHexFace& other) const;\n  };\n\n  struct GridHex {\n    GridHex(size_t id, const Vector3i& coord);\n    GridHex(const GridHex& other) = delete;\n    GridHex& operator=(const GridHex& other) = delete;\n    size_t id;\n    Vector3i coord;\n    std::vector<GridHexFace> faces;\n  };\n\n  struct Patch {\n    std::vector<GridHexFace*> faces;\n  };\n\n  void Integralize(std::vector<AABB>& aabbs);\n  void GenerateGrid(const std::vector<AABB>& aabbs);\n  void GenerateGrid(const std::vector<Vector3i>& hexes);\n  void GenerateGraph();\n  Patch FloodfillPatch(GridHexFace& start_face, size_t patch_id);\n  bool IsSurfaceFace(const GridHexFace& face);\n  std::vector<GridPoint*> GetHexCorners(const GridHex& hex);\n  void ExtractQuadComplex(\n      std::vector<Vector4i>& complex_quads,\n      std::vector<QuadComplex::Patch>& complex_patches,\n      std::vector<const GridHexFace*>* quad_id_to_face =\n          nullptr);  // vertex indices correspond to GridPoint\n\n  float hex_size_;\n  bool round_to_nearest_{true};\n\n  std::unordered_map<Vector3i, GridPoint, Vector3iHasher> coord_to_point_;\n  std::unordered_map<Vector3i, GridHex, Vector3iHasher> coord_to_hex_;\n\n  // WARNING: don't store pointers to vector elements which may get invalidated\n  // during resizing!\n  std::vector<GridPoint*> id_to_point_;\n  std::vector<GridHex*> id_to_hex_;\n\n  std::vector<Patch> patches_;\n\n  // Cache to go back from generated hex mesh to this graph.\n  std::vector<const GridHexFace*> quad_id_to_face_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/PolycubeInfo.cpp",
    "content": "#include \"PolycubeInfo.h\"\n\n#include \"logging.h\"\n\nnamespace hex {\nFixedLengthStr::FixedLengthStr(const std::string& str) {\n  int n = std::min((int)str.size(), kMaxNameLength);\n  std::memcpy(buf, str.data(), n * sizeof(char));\n  buf[n] = '\\0';\n}\n\nstd::string FixedLengthStr::ToString() { return std::string(buf); }\n\nvoid PolycubeInfo::Delete(int k) {\n  assert(k < names.size() && names.size() == ordering.size());\n\n  names.erase(names.begin() + k);\n  std::vector<int> new_ordering;\n  for (int i = 0; i < static_cast<int>(ordering.size()); i++) {\n    if (ordering[i] < k) {\n      new_ordering.push_back(ordering[i]);\n    } else if (ordering[i] > k) {\n      new_ordering.push_back(ordering[i] - 1);\n    }\n  }\n  ordering = new_ordering;\n\n  locked.erase(locked.begin() + k);\n}\n\nvoid PolycubeInfo::MoveItem(int k, int delta) {\n  if (delta == 0) {\n    return;\n  }\n  int pos = GetPosition(k);\n  int new_pos = std::min(std::max(0, pos + delta), (int)ordering.size() - 1);\n\n  ordering.erase(ordering.begin() + pos);\n  ordering.insert(ordering.begin() + new_pos, k);\n}\n\nvoid PolycubeInfo::ChangePosition(int k, int i) {\n  int pos = GetPosition(k);\n  ordering.erase(ordering.begin() + pos);\n  ordering.insert(ordering.begin() + i, k);\n}\n\nint PolycubeInfo::GetPosition(int k) {\n  int pos = -1;\n  for (int i = 0; i < static_cast<int>(ordering.size()); i++) {\n    if (ordering[i] == k) {\n      pos = i;\n    }\n  }\n  return pos;\n}\n\nvoid PolycubeInfo::Push(const std::string& str) {\n  FixedLengthStr fixed_str(str.empty() ? fmt::format(\"Cuboid {}\", names.size())\n                                       : str);\n  names.push_back(fixed_str);  // default name\n\n  // By default not locking.\n  locked.push_back(0);\n\n  // Add the newly created cuboid to the end of the list.\n  ordering.push_back(names.size() - 1);\n}\n\nvoid PolycubeInfo::ToggleLock(int k) {\n  assert(0 <= k && k < locked.size());\n  locked[k] ^= 1;\n}\n\nvoid PolycubeInfo::ChangeName(int k, const std::string& new_name) {\n  names.at(k) = new_name;\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/PolycubeInfo.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\nnamespace hex {\nconst int kMaxNameLength = 32;\n\nstruct FixedLengthStr {\n  FixedLengthStr() = default;\n  FixedLengthStr(const std::string& str);\n  std::string ToString();\n  char buf[kMaxNameLength + 1];\n};\n\nstruct PolycubeInfo {\n  void Delete(int k);\n  void ChangeName(int k, const std::string& new_name);\n  void Push(const std::string& str = \"\");\n  void ToggleLock(int k);\n  int GetPosition(int k);  // get position of an index in ordering\n  void ChangePosition(int k, int i);\n  void MoveItem(int k, int delta);\n\n  std::vector<FixedLengthStr> names;  // name of each cuboid\n  std::vector<int> ordering;  // ordering of cuboids, a list of cuboid indices\n  std::vector<int> locked;         // whether the cuboid is locked\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/QuadComplex.cpp",
    "content": "#include \"QuadComplex.h\"\n\nnamespace hex {\nstd::vector<Vector3i> QuadComplex::GetRims() const {\n  // This is a bit hacky, and only makes sense for polycube hex complex!\n  std::vector<std::set<size_t>> neighbors(vertices_.size());\n  for (auto& quad : quads_) {\n    for (int k = 0; k < 4; k++) {\n      neighbors[quad[k]].insert(quad[(k + 1) % 4]);\n    }\n  }\n\n  std::unordered_set<Vector3i, Vector3iHasher> result_set;\n  for (size_t u = 0; u < vertices_.size(); u++) {\n    for (size_t v : neighbors[u]) {\n      for (size_t w : neighbors[v]) {\n        Vector3f e_uv = (vertices_[v] - vertices_[u]).normalized();\n        Vector3f e_vw = (vertices_[w] - vertices_[v]).normalized();\n        if (std::abs(e_uv.dot(e_vw) - 1) < 1e-6f) {\n          Vector3i rim{static_cast<int>(u), static_cast<int>(v),\n                       static_cast<int>(w)};\n          if (!result_set.count({rim[0], rim[1], rim[2]}) &&\n              !result_set.count({rim[2], rim[1], rim[0]})) {\n            result_set.emplace(rim);\n          }\n        }\n      }\n    }\n  }\n\n  return {result_set.begin(), result_set.end()};\n}\nQuadComplex::QuadComplex(std::vector<Vector3f> vertices,\n                         std::vector<Vector4i> quads,\n                         std::vector<Patch> patches)\n    : vertices_{std::move(vertices)},\n      quads_{std::move(quads)},\n      patches_{std::move(patches)} {}\n\nstd::vector<Vector2i> QuadComplex::GetBiEdges() const {\n  std::vector<Vector2i> result;\n  for (auto& quad : quads_) {\n    for (int k = 0; k < 4; k++) {\n      int u = quad[k];\n      int v = quad[(k + 1) % 4];\n      result.push_back({u, v});\n      result.push_back({v, u});\n    }\n  }\n  return result;\n}\n\nstd::vector<Vector3i> QuadComplex::GetRing() const {\n  std::vector<Vector3i> result;\n  for (auto& quad : quads_) {\n    for (int k = 0; k < 4; k++) {\n      int u = quad[k];\n      int v = quad[(k + 1) % 4];\n      int w = quad[(k + 3) % 4];\n      result.push_back({u, v, w});\n    }\n  }\n  return result;\n}\n\nstd::vector<Vector3i> QuadComplex::GetTriangularFaces() const {\n  std::vector<Vector3i> result;\n  for (auto& quad : quads_) {\n    for (int k = 0; k < 4; k += 2) {\n      int u = quad[k];\n      int v = quad[(k + 1) % 4];\n      int w = quad[(k + 3) % 4];\n      result.push_back({u, v, w});\n    }\n  }\n  return result;\n}\n\nstd::vector<int> QuadComplex::GetDegrees() const {\n  std::vector<int> degrees(vertices_.size(), 0);\n  for (auto& quad : quads_) {\n    for (int k = 0; k < 4; k++) {\n      int u = quad[k];\n      int v = quad[(k + 1) % 4];\n      degrees[u]++;\n      degrees[v]++;\n    }\n  }\n  return degrees;\n}\n\nvoid QuadComplex::UpdateVertices(std::vector<Vector3f> vertices) {\n  vertices_ = std::move(vertices);\n}\n\nstd::unique_ptr<QuadrilateralMesh> QuadComplex::ExtractQuadMesh() const {\n  return std::make_unique<QuadrilateralMesh>(vertices_, quads_);\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/QuadComplex.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\n#include \"QuadrilateralMesh.h\"\n\nnamespace hex {\nclass QuadComplex {\n public:\n  using Patch = std::vector<size_t>;\n\n  QuadComplex(std::vector<Vector3f> vertices, std::vector<Vector4i> quads,\n              std::vector<Patch> patches);\n  QuadComplex(const QuadComplex& other) = default;\n  QuadComplex& operator=(const QuadComplex& other) = delete;\n  ~QuadComplex() = default;\n\n  const std::vector<Patch>& GetPatches() const { return patches_; }\n  const std::vector<Vector3f>& GetVertices() const { return vertices_; }\n  const std::vector<Vector4i>& GetQuads() const { return quads_; }\n  // Rims are three neighboring vertices on a straight line on the surface.\n  std::vector<Vector3i> GetRims() const;\n  std::vector<Vector2i> GetBiEdges() const;\n  // Ring is used to estimate per-vertex normals on a quad mesh.\n  std::vector<Vector3i> GetRing() const;\n  std::vector<Vector3i> GetTriangularFaces() const;\n  std::vector<int> GetDegrees() const;\n  void UpdateVertices(std::vector<Vector3f> vertices);\n\n  std::unique_ptr<QuadrilateralMesh> ExtractQuadMesh() const;\n\n private:\n  std::vector<Vector3f> vertices_;\n  std::vector<Vector4i> quads_;\n  std::vector<Patch> patches_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/QuadrilateralMesh.cpp",
    "content": "#include \"QuadrilateralMesh.h\"\n\n#include <geomlib/ray_triangle_intersection.h>\n\n#include <limits>\n\nnamespace hex {\nQuadrilateralMesh::QuadrilateralMesh(std::vector<Vector3f> vertices,\n                                     std::vector<Vector4i> quads)\n    : vertices_{std::move(vertices)}, quads_{std::move(quads)} {}\n\nbool QuadrilateralMesh::IntersectWithRay(const Ray& ray, HitRecord& record) {\n  bool success = false;\n  float min_t = std::numeric_limits<float>::max();\n#pragma omp parallel for\n  for (size_t i = 0; i < quads_.size(); i++) {\n    auto& quad = quads_[i];\n    auto& v0 = vertices_[quad[0]];\n    auto& v1 = vertices_[quad[1]];\n    auto& v2 = vertices_[quad[2]];\n    auto& v3 = vertices_[quad[3]];\n\n    float t1, t2;\n    bool b1 = geomlib::RayTriangleIntersection(\n        ray.GetOrigin(), ray.GetDirection(), v0, v1, v2, &t1);\n    bool b2 = geomlib::RayTriangleIntersection(\n        ray.GetOrigin(), ray.GetDirection(), v0, v2, v3, &t2);\n\n    float t = std::numeric_limits<float>::max();\n    if (b1) {\n      t = std::min(t, t1);\n    }\n    if (b2) {\n      t = std::min(t, t2);\n    }\n\n#pragma omp critical\n    if (t < min_t) {\n      min_t = t;\n      record.t = min_t;\n      record.quad_id = i;\n    }\n  }\n\n  success = min_t < std::numeric_limits<float>::max();\n  return success;\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/QuadrilateralMesh.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\n#include <vkoo/core/VertexObject.h>\n\n#include \"Ray.h\"\n\nnamespace hex {\nclass QuadrilateralMesh {\n public:\n  QuadrilateralMesh(std::vector<Vector3f> vertices,\n                    std::vector<Vector4i> quads);\n\n  struct HitRecord {\n    float t;\n    size_t quad_id;\n  };\n\n  bool IntersectWithRay(const Ray& ray, HitRecord& record);\n\n  const std::vector<Vector3f>& GetVertices() const { return vertices_; }\n  const std::vector<Vector4i>& GetQuads() const { return quads_; }\n\n private:\n  std::vector<Vector3f> vertices_;\n  std::vector<Vector4i> quads_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/Ray.cpp",
    "content": "#include \"Ray.h\"\n\nnamespace hex {\nRay::Ray(const Vector3f& origin, const Vector3f& direction)\n    : origin_{origin}, direction_{direction} {}\n\nRay::Ray(const vkoo::st::Ray& ray)\n    : origin_{ToEigen(ray.GetOrigin())},\n      direction_{ToEigen(ray.GetDirection())} {}\n\nvkoo::st::Ray Ray::ToGlm() const {\n  return {::hex::ToGlm(origin_), ::hex::ToGlm(direction_)};\n}\n\nVector3f Ray::At(float t) const { return origin_ + t * direction_; }\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/Ray.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\n#include <vkoo/st/hittables/Ray.h>\n\nnamespace hex {\nclass Ray {\n public:\n  Ray(const Vector3f& origin, const Vector3f& direction);\n  Ray(const vkoo::st::Ray& ray);\n  vkoo::st::Ray ToGlm() const;\n\n  const Vector3f& GetOrigin() const { return origin_; }\n  const Vector3f& GetDirection() const { return direction_; }\n  Vector3f At(float t) const;\n\n private:\n  Vector3f origin_;\n  Vector3f direction_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/TetrahedralMesh.cpp",
    "content": "#include \"TetrahedralMesh.h\"\n\n#include <geomlib/TriangularMeshSampler.h>\n#include <geomlib/autograd/GeneralizedProjection.h>\n#include <geomlib/io/TetMeshParser.h>\n#include <geomlib/point_tet_mesh_test.h>\n#include <vkoo/core/VertexObject.h>\n\n#include <random>\n\n#include \"logging.h\"\n#include \"optim/torch_utils.h\"\n\nnamespace hex {\nTetrahedralMesh::TetrahedralMesh(std::shared_ptr<geomlib::TetMesh> tet_mesh)\n    : tet_mesh_{std::move(tet_mesh)} {}\n\nTetrahedralMesh::TetrahedralMesh(const Eigen::MatrixXf& vertices,\n                                 const Eigen::MatrixXi& tets)\n    : TetrahedralMesh{std::make_shared<geomlib::TetMesh>(vertices, tets)} {}\n\nTetrahedralMesh::TetrahedralMesh(const std::string& file_path)\n    : TetrahedralMesh(geomlib::TetMeshParser::Parse(file_path)) {}\n\nconst Eigen::MatrixXf& TetrahedralMesh::GetVertices() const {\n  return tet_mesh_->GetVertices();\n}\n\nconst Eigen::MatrixXi& TetrahedralMesh::GetTets() const {\n  return tet_mesh_->GetTets();\n}\n\nconst Eigen::VectorXf& TetrahedralMesh::GetTetVolumes() const {\n  return tet_mesh_->GetTetVolumes();\n}\n\nconst Eigen::MatrixXi& TetrahedralMesh::GetSurfaceTriangles() const {\n  return tet_mesh_->GetSurfaceTriangles();\n}\n\nconst Eigen::MatrixXf& TetrahedralMesh::GetAnchors() const {\n  if (!anchors_) {\n    LOGI(\"Creating anchors with default parameters...\");\n    CreateAnchors(32, true, 0.0f, 4000, 0.01f);  // default set of parameters\n  }\n  return *anchors_;\n}\n\nconst Eigen::VectorXf& TetrahedralMesh::GetDistanceField() const {\n  if (!distance_field_) {\n    CreateDistanceField();\n  }\n  return *distance_field_;\n}\n\nbool TetrahedralMesh::HasAnchors() const { return anchors_ != nullptr; }\n\nbool TetrahedralMesh::HasDistanceField() const {\n  return distance_field_ != nullptr;\n}\n\nvoid TetrahedralMesh::CreateAnchors(int grid_size, bool inside_only,\n                                    float bbox_padding, int surface_samples,\n                                    float perturbation) const {\n  Eigen::Vector3f bbox_min = GetVertices().colwise().minCoeff();\n  Eigen::Vector3f bbox_max = GetVertices().colwise().maxCoeff();\n  Eigen::Vector3f side_length = bbox_max - bbox_min;\n\n  bbox_max += bbox_padding * side_length;\n  bbox_min -= bbox_padding * side_length;\n\n  Eigen::Vector3f bbox_h = (bbox_max - bbox_min) / grid_size;\n\n  int num_voxels = grid_size * grid_size * grid_size;\n\n  Eigen::MatrixXf uniform_anchors = Eigen::MatrixXf::Zero(num_voxels, 3);\n  int count = 0;\n\n  for (int k = 0; k < grid_size; k++)\n    for (int j = 0; j < grid_size; j++)\n      for (int i = 0; i < grid_size; i++) {\n        uniform_anchors.row(count) =\n            bbox_min + Eigen::Vector3f(static_cast<float>(i),\n                                       static_cast<float>(j),\n                                       static_cast<float>(k))\n                           .cwiseProduct(bbox_h);\n        count++;\n      }\n\n  if (inside_only) {\n    using namespace torch::indexing;\n    auto uniform_anchors_gpu = MatrixXfToTensor(uniform_anchors).cuda();\n    auto uniform_sdf_gpu = ComputeDistanceFieldGPU(uniform_anchors_gpu);\n    uniform_anchors = TensorToMatrixXf(\n        uniform_anchors_gpu.index({uniform_sdf_gpu < 0, Slice()})\n            .detach()\n            .cpu());\n  }\n\n  auto& surface_vertices = GetSurfaceMesh().GetVertices();\n\n  // Eigen::MatrixXf surface_anchors{surface_vertices.rows() * surface_multiple,\n  //                                3};\n  Eigen::MatrixXf surface_anchors;\n  {\n    auto vertices = MatrixXfToTensor(GetSurfaceMesh().GetVertices()).cuda();\n    auto faces =\n        MatrixXiToTensor(GetSurfaceMesh().GetFaces()).cuda().to(torch::kInt64);\n    geomlib::TriangularMeshSampler sampler{vertices, faces};\n    auto samples = sampler.Sample(surface_samples);\n    surface_anchors = TensorToMatrixXf(samples.detach().cpu());\n  }\n  std::default_random_engine gen(42);\n  std::normal_distribution<float> dis(0.0f, 1.0f);\n  for (int i = 0; i < surface_anchors.rows(); i++) {\n    Eigen::Vector3f delta{dis(gen), dis(gen), dis(gen)};\n    Eigen::Vector3f r = surface_vertices.row(i % surface_vertices.rows());\n    surface_anchors.row(i) = r + perturbation * delta;\n  }\n\n  anchors_ = std::make_unique<Eigen::MatrixXf>(\n      uniform_anchors.rows() + surface_anchors.rows(), 3);\n  *anchors_ << uniform_anchors, surface_anchors;\n\n  LOGI(\"{} anchors have been created.\", anchors_->rows());\n}\n\nvoid TetrahedralMesh::CreateDistanceField() const {\n  auto anchors_gpu = MatrixXfToTensor(GetAnchors()).cuda();\n  auto result_gpu = ComputeDistanceFieldGPU(anchors_gpu);\n\n  distance_field_ = std::make_unique<Eigen::VectorXf>(\n      TensorToVectorXf(result_gpu.detach().cpu()));\n}\n\ntorch::Tensor TetrahedralMesh::ComputeDistanceFieldGPU(\n    torch::Tensor points) const {\n  points = points.contiguous();\n  assert(points.is_cuda());\n  auto& surface_mesh = GetSurfaceMesh();\n\n  auto surface_vertices_gpu =\n      MatrixXfToTensor(surface_mesh.GetVertices()).cuda().contiguous();\n  auto surface_faces_gpu =\n      MatrixXiToTensor(surface_mesh.GetFaces()).cuda().contiguous();\n\n  auto proj_info = geomlib::TriangularProjectionInfo(surface_vertices_gpu,\n                                                     surface_faces_gpu);\n  auto proj_result =\n      geomlib::GeneralizedTriangleProjection<3>::apply(points, proj_info);\n\n  auto udf =\n      proj_result[0].to(torch::kFloat32).sqrt();  // GeneralizedTriangleProjection\n                                                  // returns squared distance.\n  // At this point udf is unsigned.\n  auto vertices_gpu = MatrixXfToTensor(GetVertices()).cuda().contiguous();\n  auto tets_gpu = MatrixXiToTensor(GetTets()).cuda().contiguous();\n  auto test_result = geomlib::PointTetMeshTest(points, vertices_gpu, tets_gpu)\n                         .to(torch::kFloat32);\n  return udf * test_result;\n}\n\nvoid TetrahedralMesh::SetAnchors(const Eigen::MatrixXf& anchors) {\n  anchors_ = std::make_unique<Eigen::MatrixXf>(anchors);\n}\n\nvoid TetrahedralMesh::SetDistanceField(const Eigen::VectorXf& distance_field) {\n  distance_field_ = std::make_unique<Eigen::VectorXf>(distance_field);\n}\n\nvoid TetrahedralMesh::FixTetsOrientation() {\n  tet_mesh_->FixTetsOrientation();\n  InvalidateCache();\n}\n\nvoid TetrahedralMesh::InvalidateCache() { surface_mesh_.reset(); }\n\nEigen::MatrixXf TetrahedralMesh::RetrievePointsFromBarycentricCoordinates(\n    const Eigen::VectorXi& tet_ids,\n    const Eigen::MatrixXf& barycentric_coords) const {\n  return tet_mesh_->RetrievePointsFromBarycentricCoordinates(\n      tet_ids, barycentric_coords);\n}\n\nconst TriangularMesh& TetrahedralMesh::GetSurfaceMesh() const {\n  if (!surface_mesh_) {\n    surface_mesh_ =\n        std::make_shared<TriangularMesh>(tet_mesh_->GetSurfaceMeshSharedPtr());\n  }\n  return *surface_mesh_;\n}\n\nstd::vector<std::shared_ptr<vkoo::VertexObject>>\nTetrahedralMesh::CreateAnchorVBOs(vkoo::Device& device) const {\n  // Return two vbos, one for anchors inside the mesh and one for outside\n  // anchors.\n  auto& anchors = GetAnchors();\n  auto& sdf = GetDistanceField();\n\n  int num_anchors = anchors.rows();\n  std::vector<std::vector<glm::vec3>> positions(2);\n  for (int i = 0; i < num_anchors; i++) {\n    positions[sdf[i] <= 0 ? 0 : 1].push_back(ToGlm(anchors.row(i)));\n  }\n\n  std::vector<std::shared_ptr<vkoo::VertexObject>> vbos;\n  for (int i = 0; i < 2; i++) {\n    auto vbo = std::make_shared<vkoo::VertexObject>(device);\n    vbo->Update(\"position\", positions[i]);\n    vbo->Update(\"normal\", positions[i]);\n    std::vector<uint32_t> indices(positions[i].size());\n    for (int k = 0; k < positions[i].size(); k++) {\n      indices[k] = k;\n    }\n    vbo->UpdateIndices(indices);\n    vbos.push_back(vbo);\n  }\n  return vbos;\n}\n\n}  // namespace hex\n\n"
  },
  {
    "path": "hex/src/models/TetrahedralMesh.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\n#include <geomlib/TetMesh.h>\n#include <torch/torch.h>\n\n#include \"TriangularMesh.h\"\n\nnamespace hex {\nclass TetrahedralMesh {\n public:\n  TetrahedralMesh(std::shared_ptr<geomlib::TetMesh> tet_mesh);\n  TetrahedralMesh(const std::string& file_path);\n  TetrahedralMesh(const Eigen::MatrixXf& vertices, const Eigen::MatrixXi& tets);\n\n  TetrahedralMesh(const TetrahedralMesh&) = delete;\n  TetrahedralMesh& operator=(const TetrahedralMesh&) = delete;\n\n  // Wrapper functions of geomlib::TetMesh.\n  const Eigen::MatrixXf& GetVertices() const;\n  const Eigen::MatrixXi& GetTets() const;\n  const Eigen::VectorXf& GetTetVolumes() const;\n  const Eigen::MatrixXi& GetSurfaceTriangles() const;\n  Eigen::MatrixXf RetrievePointsFromBarycentricCoordinates(\n      const Eigen::VectorXi& tet_ids,\n      const Eigen::MatrixXf& barycentric_coords) const;\n\n  const TriangularMesh& GetSurfaceMesh() const;\n\n  // Lazy initialization getters and setters.\n  const Eigen::MatrixXf& GetAnchors() const;\n  const Eigen::VectorXf& GetDistanceField() const;\n  bool HasAnchors() const;\n  bool HasDistanceField() const;\n  void CreateAnchors(int grid_size, bool inside_only, float bbox_padding,\n                     int surface_samples, float perturbation) const;\n  void CreateDistanceField() const;\n  void SetAnchors(const Eigen::MatrixXf& anchors);\n  void SetDistanceField(const Eigen::VectorXf& DistanceField);\n\n  void FixTetsOrientation();\n  void InvalidateCache();\n  torch::Tensor ComputeDistanceFieldGPU(torch::Tensor points) const;\n\n  std::vector<std::shared_ptr<vkoo::VertexObject>> CreateAnchorVBOs(\n      vkoo::Device& device) const;\n\n private:\n  std::shared_ptr<geomlib::TetMesh> tet_mesh_;\n\n  mutable std::unique_ptr<Eigen::MatrixXf> anchors_;\n  // Distance field is computed with respect to anchors.\n  mutable std::unique_ptr<Eigen::VectorXf> distance_field_;  // squared, signed\n  mutable std::shared_ptr<TriangularMesh> surface_mesh_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/TriangularMesh.cpp",
    "content": "#include \"TriangularMesh.h\"\n\n#include <geomlib/io/ObjParser.h>\n#include <geomlib/ray_triangle_intersection.h>\n\n#include <filesystem>\n\n#include \"logging.h\"\n#include \"serialization/Serializer.h\"\n\nnamespace hex {\nTriangularMesh::TriangularMesh(std::shared_ptr<geomlib::TriMesh> tri_mesh) {\n  tri_mesh_ = std::move(tri_mesh);\n}\n\nTriangularMesh::TriangularMesh(const std::string& mesh_obj_file)\n    : TriangularMesh(geomlib::ObjParser::ParseToMesh(mesh_obj_file)) {}\n\nTriangularMesh::TriangularMesh(const Eigen::MatrixXf& vertices,\n                               const Eigen::MatrixXi& faces)\n    : TriangularMesh(std::make_shared<geomlib::TriMesh>(vertices, faces)) {}\n\nconst Eigen::MatrixXf& TriangularMesh::GetVertices() const {\n  return tri_mesh_->GetVertices();\n}\n\nconst Eigen::MatrixXf& TriangularMesh::GetVertexNormals() const {\n  return tri_mesh_->GetVertexNormals();\n}\n\nconst Eigen::MatrixXf& TriangularMesh::GetFaceNormals() const {\n  return tri_mesh_->GetFaceNormals();\n}\n\nconst Eigen::MatrixXi& TriangularMesh::GetFaces() const {\n  return tri_mesh_->GetFaces();\n}\n\nconst Eigen::VectorXf& TriangularMesh::GetFaceAreas() const {\n  return tri_mesh_->GetFaceAreas();\n}\n\nconst Eigen::MatrixXi& TriangularMesh::GetAdjacentFacePairs() const {\n  return tri_mesh_->GetAdjacentFacePairs();\n}\n\nstd::shared_ptr<geomlib::TriMesh> TriangularMesh::GetMeshSharedPtr() const {\n  return tri_mesh_;\n}\n\nbool TriangularMesh::IntersectWithRay(const Ray& ray, HitRecord& record) const {\n  bool success = false;\n  float min_t = std::numeric_limits<float>::max();\n  auto& vertices = GetVertices();\n  auto& faces = GetFaces();\n#pragma omp parallel for\n  for (size_t i = 0; i < faces.rows(); i++) {\n    Vector3f v0 = vertices.row(faces(i, 0));\n    Vector3f v1 = vertices.row(faces(i, 1));\n    Vector3f v2 = vertices.row(faces(i, 2));\n\n    float t;\n    bool b = geomlib::RayTriangleIntersection(\n        ray.GetOrigin(), ray.GetDirection(), v0, v1, v2, &t);\n\n    if (b) {\n#pragma omp critical\n      if (t < min_t) {\n        min_t = t;\n        record.t = min_t;\n      }\n    }\n  }\n\n  success = min_t < std::numeric_limits<float>::max();\n  return success;\n}\n\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/models/TriangularMesh.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\n#include <geomlib/TriMesh.h>\n#include <vkoo/core/VertexObject.h>\n\n#include \"Ray.h\"\n\nnamespace hex {\nclass TriangularMesh {\n public:\n  TriangularMesh(std::shared_ptr<geomlib::TriMesh> tri_mesh);\n  TriangularMesh(const std::string& mesh_obj_file);\n  TriangularMesh(const Eigen::MatrixXf& vertices, const Eigen::MatrixXi& faces);\n\n  TriangularMesh(const TriangularMesh&) = delete;\n  TriangularMesh& operator=(const TriangularMesh&) = delete;\n\n  // Wrapper functions of geomlib::TriMesh.\n  const Eigen::MatrixXf& GetVertices() const;\n  const Eigen::MatrixXf& GetVertexNormals() const;\n  const Eigen::MatrixXf& GetFaceNormals() const;\n  const Eigen::MatrixXi& GetFaces() const;\n  const Eigen::VectorXf& GetFaceAreas() const;\n  const Eigen::MatrixXi& GetAdjacentFacePairs() const;\n\n  std::shared_ptr<geomlib::TriMesh> GetMeshSharedPtr() const;\n\n  struct HitRecord {\n    float t;\n  };\n  bool IntersectWithRay(const Ray& ray, HitRecord& record) const;\n\n private:\n  std::shared_ptr<geomlib::TriMesh> tri_mesh_;\n\n  mutable std::unique_ptr<Eigen::MatrixXf> embedding_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/optim/CubicVolumetricDeformer.cpp",
    "content": "#include \"CubicVolumetricDeformer.h\"\n\n#include <torch/types.h>\n\n#include \"debug.h\"\n#include \"logging.h\"\n#include \"optim/DistortionEnergy.h\"\n#include \"torch_utils.h\"\n\nusing namespace torch::indexing;\n\nnamespace hex {\nCubicVolumetricDeformer::CubicVolumetricDeformer(\n    const TetrahedralMesh& target_mesh,\n    const TetrahedralMesh& current_deformed_mesh,\n    const DistortionOptions& distortion_options, const Options& options)\n    : distortion_options_{distortion_options}, options_{options} {\n  original_vertex_positions_ =\n      MatrixXfToTensor(target_mesh.GetVertices()).cuda();\n  tets_ = MatrixXiToTensor(target_mesh.GetTets()).to(torch::kInt64).cuda();\n  original_tet_volumes_ = VectorXfToTensor(target_mesh.GetTetVolumes()).cuda();\n\n  total_volume_ = original_tet_volumes_.sum().item<float>();\n  LOGI(\"Total tet volume: {}\", total_volume_);\n\n  surface_triangles_ = MatrixXiToTensor(target_mesh.GetSurfaceTriangles())\n                           .to(torch::kInt64)\n                           .cuda();\n  surface_triangles_areas_ =\n      VectorXfToTensor(target_mesh.GetSurfaceMesh().GetFaceAreas()).cuda();\n  total_surface_area_ = surface_triangles_areas_.sum().item<float>();\n  LOGI(\"Total surface area: {}\", total_surface_area_);\n\n  surface_adjacent_pairs_ =\n      MatrixXiToTensor(target_mesh.GetSurfaceMesh().GetAdjacentFacePairs())\n          .to(torch::kInt64)\n          .cuda();\n  LOGI(\"Surface has {} adjacent triangle pairs.\",\n       surface_adjacent_pairs_.size(0));\n\n  X_ = MatrixXfToTensor(current_deformed_mesh.GetVertices()).cuda();\n  X_.requires_grad_(true);\n\n  BuildTetJacobians();\n\n  optimizer_ = std::make_unique<torch::optim::Adam>(\n      std::vector<torch::Tensor>{X_},\n      torch::optim::AdamOptions(options_.learning_rate)\n          .betas({options.adam_betas(0), options.adam_betas(1)}));\n  global_step_ = 0;\n}\n\nvoid CubicVolumetricDeformer::BuildTetJacobians() {\n  Eigen::MatrixXf D_mat(4, 3);\n  D_mat << -1, -1, -1, 1, 0, 0, 0, 1, 0, 0, 0, 1;\n  auto D = MatrixXfToTensor(D_mat).cuda();  // 4x3\n  std::vector<torch::Tensor> corners;\n  for (int k = 0; k < 4; k++) {\n    corners.push_back(\n        original_vertex_positions_.index({tets_.index({Slice(), k}), Slice()}));\n  }\n  auto S = torch::stack({corners[1] - corners[0], corners[2] - corners[0],\n                         corners[3] - corners[0]},\n                        -1);  // |T|x3x3\n  // Inversion can fail here if input mesh has degenerated tets.\n  auto Sinv = torch::linalg_pinv(S.to(torch::kFloat64)).to(torch::kFloat32);\n\n  tet_jacobians_ = torch::matmul(D.unsqueeze(0).repeat({tets_.size(0), 1, 1}),\n                                 Sinv);  // |T|x4x3\n}\n\nstd::vector<torch::Tensor> CubicVolumetricDeformer::ComputeLoss() {\n  auto tet_corners =\n      X_.index({tets_.reshape({-1}), Slice()}).reshape({-1, 4, 3});  // |T|x4x3\n  auto J =\n      torch::matmul(tet_corners.transpose(1, 2), tet_jacobians_);  // |T|x3x3\n\n  auto distortion_loss = ComputeDistortionLoss(\n      J, original_tet_volumes_ / total_volume_, distortion_options_);  // |T|\n\n  // Next compute cubeness loss.\n  torch::Tensor normals;\n  {\n    std::vector<torch::Tensor> triangle_corners;  // each element: |S|x3\n    for (int k = 0; k < 3; k++) {\n      triangle_corners.push_back(\n          X_.index({surface_triangles_.index({Slice(), k}), Slice()}));\n      assert(!triangle_corners.back().isnan().any().item<bool>());\n    }\n    normals = torch::cross(triangle_corners[1] - triangle_corners[0],\n                           triangle_corners[2] - triangle_corners[0]);  // |S|x3\n  }\n  auto normals_unit = normals / RegularizedL2Norm(normals).unsqueeze(-1);\n  // Note: area is already incorporated in the unnormalized normals.\n\n  auto current_total_area = (normals.norm(2, -1) / 2).sum();\n\n  auto l1_loss =\n      options_.cubeness_weight *\n      (surface_triangles_areas_ * AlternativeL1Norm(normals_unit)).sum() /\n      total_surface_area_;\n\n  torch::Tensor smoothness_loss;\n  /*{\n    // Next compute smoothness loss based on normals.\n    auto n_fi = normals.index(\n        {surface_adjacent_pairs_.index({Slice(), 0}), Slice()});  // |P|x3\n    auto n_fj = normals.index(\n        {surface_adjacent_pairs_.index({Slice(), 1}), Slice()});  // |P|x3\n    auto n_fi_norm =\n        RegularizedL2Norm(n_fi).unsqueeze(1).repeat({1, 3});  // |P|x3\n    auto n_fj_norm =\n        RegularizedL2Norm(n_fj).unsqueeze(1).repeat({1, 3});  // |P|x3\n    auto normal_diff = torch::where(\n        n_fi_norm <= n_fj_norm, n_fi - n_fi_norm / n_fj_norm * n_fj,\n        n_fj - n_fj_norm / n_fi_norm * n_fi);  // |P|x3\n    smoothness_loss = smoothness_weight_ *\n                      RegularizedL2Norm(normal_diff).sum() /\n                      (3 * total_surface_area_);\n  }*/\n  {\n    // Next compute smoothness loss based on normals.\n    auto n_fi = normals_unit.index(\n        {surface_adjacent_pairs_.index({Slice(), 0}), Slice()});  // |P|x3\n    auto n_fj = normals_unit.index(\n        {surface_adjacent_pairs_.index({Slice(), 1}), Slice()});  // |P|x3\n    auto neighbor_area_sum =\n        surface_triangles_areas_.index(\n            {surface_adjacent_pairs_.index({Slice(), 0})}) +\n        surface_triangles_areas_.index(\n            {surface_adjacent_pairs_.index({Slice(), 1})});\n    smoothness_loss =\n        options_.smoothness_weight *\n        (neighbor_area_sum * (n_fi - n_fj).square().sum(-1)).sum() /\n        (3 * total_surface_area_);\n  }\n  assert(IsTensorFinite(distortion_loss));\n  assert(IsTensorFinite(l1_loss));\n  assert(IsTensorFinite(smoothness_loss));\n\n  return {distortion_loss, l1_loss, smoothness_loss};\n}\n\ntorch::Tensor CubicVolumetricDeformer::RegularizedL2Norm(torch::Tensor x) {\n  // Assuming x is Bx3.\n  return torch::sqrt(x.square().sum(-1) +\n                     options_.norm_eps * options_.norm_eps);\n}\n\ntorch::Tensor CubicVolumetricDeformer::RegularizedL1Norm(torch::Tensor x) {\n  // Assuming x is Bx3.\n  return torch::sqrt(x.square() + options_.norm_eps * options_.norm_eps)\n      .sum(-1);\n}\n\ntorch::Tensor CubicVolumetricDeformer::AlternativeL1Norm(torch::Tensor v) {\n  auto nx = v.index({Slice(), 0}).square();\n  auto ny = v.index({Slice(), 1}).square();\n  auto nz = v.index({Slice(), 2}).square();\n\n  return nx * ny + ny * nz + nz * nx;\n}\n\nvoid CubicVolumetricDeformer::Optimize(size_t num_steps) {\n  auto losses_before = ComputeLoss();\n  LOGI(\"Before cubic volume deform: \");\n  PrintLosses(losses_before);\n  size_t target_step = global_step_ + num_steps;\n  while (global_step_ < target_step) {\n    global_step_++;\n\n    auto closure = [&]() {\n      auto losses = ComputeLoss();\n      auto loss = losses[0] + losses[1] + losses[2];\n\n      optimizer_->zero_grad();\n      loss.backward();\n\n      auto X_grad = X_.grad();\n      if (X_grad.isnan().any().item<bool>()) {\n        LOGW(\"X_grad has NaN! Set to 0.\");\n        X_.mutable_grad() = X_.grad().nan_to_num(0.0f);\n      }\n      return loss;\n    };\n    optimizer_->step(closure);\n  }\n  auto loss_after = ComputeLoss();\n  LOGI(\"After cubic volume deform: \");\n  PrintLosses(loss_after);\n}\n\nEigen::MatrixXf CubicVolumetricDeformer::GetOptimizedPositions() const {\n  return TensorToMatrixXf(X_.cpu().detach());\n}\n\nvoid CubicVolumetricDeformer::PrintLosses(\n    const std::vector<torch::Tensor>& losses) {\n  LOGI(\"distortion_loss: {} | l1_loss: {} | smoothness_loss: {}\",\n       losses[0].item<float>(), losses[1].item<float>(),\n       losses[2].item<float>());\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/optim/CubicVolumetricDeformer.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\n#include <torch/torch.h>\n\n#include \"models/TetrahedralMesh.h\"\n#include \"optim/DistortionEnergy.h\"\n\nnamespace hex {\nclass CubicVolumetricDeformer {\n public:\n  struct Options {\n    float cubeness_weight{1.0f};\n    float smoothness_weight{1.0f};\n    float norm_eps{1e-6f};\n    float learning_rate{1e-3};\n    Vector2f adam_betas{0.9f, 0.9f};\n  };\n  CubicVolumetricDeformer(const TetrahedralMesh& target_mesh,\n                          const TetrahedralMesh& current_deformed_mesh,\n                          const DistortionOptions& distortion_options,\n                          const Options& options);\n\n  void Optimize(size_t num_steps);\n  Eigen::MatrixXf GetOptimizedPositions() const;\n\n private:\n  void BuildTetJacobians();\n  std::vector<torch::Tensor> ComputeLoss();\n  torch::Tensor Regularize(torch::Tensor D);\n\n  void PrintLosses(const std::vector<torch::Tensor>& losses);\n  torch::Tensor RegularizedL1Norm(torch::Tensor x);\n  torch::Tensor RegularizedL2Norm(torch::Tensor x);\n  torch::Tensor AlternativeL1Norm(torch::Tensor x);\n\n  DistortionOptions distortion_options_;\n  Options options_;\n\n  float total_surface_area_;\n  float total_volume_;\n\n  // Constant tensors stored on GPU.\n  torch::Tensor original_vertex_positions_;  // |V|x3\n  torch::Tensor tets_;                       // |T|x4\n  torch::Tensor original_tet_volumes_;       // |T|\n  torch::Tensor surface_triangles_;          // |S|x3\n  torch::Tensor surface_triangles_areas_;    // |S|\n  torch::Tensor surface_adjacent_pairs_;     // |P|x2\n\n  torch::Tensor tet_jacobians_;  // |T|x4x3\n\n  torch::Tensor X_;  // |V|x3, deformed positions\n\n  std::unique_ptr<torch::optim::Optimizer> optimizer_;\n  size_t global_step_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/optim/DirectModel.cpp",
    "content": "#include \"DirectModel.h\"\n"
  },
  {
    "path": "hex/src/optim/DirectModel.h",
    "content": "#pragma once\n\n#include <torch/torch.h>\n\nnamespace hex {\nstruct DirectModelImpl : torch::nn::Module {\n  DirectModelImpl(torch::Tensor init_weight) {\n    weight = register_parameter(\"weight\", init_weight);\n  }\n  // torch::Tensor forward(torch::Tensor input) { return weight; }\n\n  torch::Tensor weight;\n};\nTORCH_MODULE(DirectModel);\n}  // namespace hex"
  },
  {
    "path": "hex/src/optim/DistortionEnergy.cpp",
    "content": "#include \"DistortionEnergy.h\"\n\n#include \"debug.h\"\n#include \"logging.h\"\n\nusing namespace torch::indexing;\n\nnamespace hex {\n\nnamespace {\nstd::pair<torch::Tensor, torch::Tensor> ExtractAB(torch::Tensor J) {\n  std::vector<torch::Tensor> a_list, b_list;\n  for (int k = 0; k < 3; k++) {\n    a_list.push_back(J.index({Slice(), Slice(), k}));  // Bx3\n  }\n\n  for (int k = 0; k < 3; k++) {\n    b_list.push_back(\n        torch::cross(a_list[(k + 1) % 3], a_list[(k + 2) % 3], 1));  // Bx3\n  }\n  // Stack in such a way that first returned = J.\n  return {torch::stack(a_list, 2), torch::stack(b_list, 2)};\n}\n\ntorch::Tensor Regularize(torch::Tensor D, float eps) {\n  return (D + torch::sqrt(eps * eps + D.square())) / 2;\n}\n\ntorch::Tensor RegularizeDerivaive(torch::Tensor D, float eps) {\n  return (1 + D / torch::sqrt(eps * eps + D.square())) / 2;\n}\n}  // namespace\n\ntorch::Tensor ComputeDistortionLoss(torch::Tensor J, torch::Tensor weight,\n                                    const DistortionOptions& options) {\n  // J - Nx3x3, weight - N\n  auto F = ConformalVolumetricEnergy::apply(J, options.regularizer_eps);  // N\n  auto G = AuthalicVolumetricEnergy::apply(J, options.regularizer_eps);   // N\n\n  auto loss = options.conformal_weight * (F - 3) +\n              options.authalic_weight * (G - 2);  // N\n  if (options.amips) {\n    auto old_loss = loss;\n    // Use log-sum-exp trick for stability.\n    loss = torch::logsumexp(loss + torch::log(weight), -1);\n  } else {\n    loss = (loss * weight).sum();\n  }\n\n  return loss;\n}\n\ntorch::Tensor ConformalVolumetricEnergy::forward(\n    torch::autograd::AutogradContext* ctx, torch::Tensor J, float eps) {\n  auto extract_result = ExtractAB(J);\n  auto A = extract_result.first;\n  auto B = extract_result.second;\n\n  auto trace = A.square().sum(-1).sum(-1);     // B\n  assert(IsTensorFinite(trace));\n  auto det = (A.index({Slice(), Slice(), 0}) * B.index({Slice(), Slice(), 0}))\n                 .sum(-1);  // B\n  assert(IsTensorFinite(det));\n\n  auto reg_det = Regularize(det, eps);\n  assert(IsTensorFinite(reg_det));\n  auto d_reg_det = RegularizeDerivaive(det, eps);  // B\n  assert(IsTensorFinite(d_reg_det));\n  auto result = trace / (1e-8f + torch::pow(reg_det, 2.0f / 3.0f));\n\n  ctx->save_for_backward({A, B, trace, det, reg_det, d_reg_det, result});\n  return result;\n}\n\nstd::vector<torch::Tensor> ConformalVolumetricEnergy::backward(\n    torch::autograd::AutogradContext* ctx,\n    std::vector<torch::Tensor> grad_outputs) {\n  auto saved = ctx->get_saved_variables();\n  auto A = saved[0];          // Bx3x3\n  auto B = saved[1];          // Bx3x3\n  auto trace = saved[2];      // B\n  auto det = saved[3];        // B\n  auto reg_det = saved[4];    // B\n  auto d_reg_det = saved[5];  // B\n  auto f = saved[6];          // B\n\n  auto dJ = 2 * A /\n            (1e-8f + torch::pow(reg_det, 2.0f / 3.0f))\n                .unsqueeze(1)\n                .unsqueeze(2);  // Bx3x3\n  dJ = dJ - (2.0f / 3.0f * f * d_reg_det / (1e-8f + reg_det))\n                    .unsqueeze(1)\n                    .unsqueeze(2) *\n                B;\n\n  return {grad_outputs.at(0).unsqueeze(1).unsqueeze(2) * dJ,\n          torch::Tensor()};  // Bx3x3\n}\n\ntorch::Tensor AuthalicVolumetricEnergy::forward(\n    torch::autograd::AutogradContext* ctx, torch::Tensor J, float eps) {\n  auto extract_result = ExtractAB(J);\n  auto A = extract_result.first;\n  auto B = extract_result.second;\n\n  auto det = (A.index({Slice(), Slice(), 0}) * B.index({Slice(), Slice(), 0}))\n                 .sum(-1);  // B\n\n  auto reg_det = Regularize(det, eps);\n  auto d_reg_det = RegularizeDerivaive(det, eps);  // B\n  auto result = (det.square() + 1) / (1e-8f + reg_det);\n\n  ctx->save_for_backward({A, B, det, reg_det, d_reg_det, result});\n  return result;\n}\n\nstd::vector<torch::Tensor> AuthalicVolumetricEnergy::backward(\n    torch::autograd::AutogradContext* ctx,\n    std::vector<torch::Tensor> grad_outputs) {\n  auto saved = ctx->get_saved_variables();\n  auto A = saved[0];          // Bx3x3\n  auto B = saved[1];          // Bx3x3\n  auto det = saved[2];        // B\n  auto reg_det = saved[3];    // B\n  auto d_reg_det = saved[4];  // B\n  auto g = saved[5];          // B\n\n  auto dJ = ((2 * det - g * d_reg_det) / (1e-8f + reg_det))\n                .unsqueeze(1)\n                .unsqueeze(2) *\n            B;\n\n  return {grad_outputs.at(0).unsqueeze(1).unsqueeze(2) * dJ,\n          torch::Tensor()};  // Bx3x3\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/optim/DistortionEnergy.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\n#include <torch/torch.h>\n\nnamespace hex {\nstruct DistortionOptions {\n  float conformal_weight{1.0f};\n  float authalic_weight{1.0f};\n  float regularizer_eps{1e-3f};\n  bool amips{false};\n};\n\ntorch::Tensor ComputeDistortionLoss(torch::Tensor J, torch::Tensor weight,\n                                    const DistortionOptions& options);\nclass ConformalVolumetricEnergy\n    : public torch::autograd::Function<ConformalVolumetricEnergy> {\n public:\n  // J - Bx3x3\n  static torch::Tensor forward(torch::autograd::AutogradContext* ctx,\n                               torch::Tensor J, float eps);\n\n  static std::vector<torch::Tensor> backward(\n      torch::autograd::AutogradContext* ctx,\n      std::vector<torch::Tensor> grad_outputs);\n};\n\nclass AuthalicVolumetricEnergy\n    : public torch::autograd::Function<AuthalicVolumetricEnergy> {\n public:\n  // J - Bx3x3\n  static torch::Tensor forward(torch::autograd::AutogradContext* ctx,\n                               torch::Tensor J, float eps);\n\n  static std::vector<torch::Tensor> backward(\n      torch::autograd::AutogradContext* ctx,\n      std::vector<torch::Tensor> grad_outputs);\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/optim/HexComplexDeformer.cpp",
    "content": "#include \"HexComplexDeformer.h\"\n\n#include <ATen/Functions.h>\n#include <c10/cuda/CUDACachingAllocator.h>\n#include <geomlib/autograd/GeneralizedProjection.h>\n\n#include \"geomlib/TriangularMeshSampler.h\"\n#include \"geomlib/generalized_projection_info.h\"\n#include \"logging.h\"\n#include \"models/HexConvention.h\"\n#include \"optim/DistortionEnergy.h\"\n#include \"torch_utils.h\"\n#include \"utility/StopWatch.h\"\nusing namespace torch::indexing;\n\nnamespace hex {\nnamespace {\nconst float kNormalAlignExpCoeff = 1.0f;\nconst float kCustomExpCoeff = 10.0f;\n}  // namespace\n\nHexComplexDeformer::HexComplexDeformer(\n    const HexComplex& polycube_complex, const HexComplex& target_complex,\n    const TriangularMesh& original_surface,\n    const DistortionOptions& distortion_options, const Options& options)\n    : distortion_options_{distortion_options}, options_{options} {\n  // The assumption is that polycube_complex and target_complex share the same\n  // topology, but we use target_complex's current vertex positions as\n  // initialization.\n\n  {\n    // Estimate hex element size.\n    auto& vertices = polycube_complex.GetVertices();\n    auto& quad = polycube_complex.GetQuads().at(0);\n    hex_size_ = (vertices[quad[0]] - vertices[quad[1]]).norm();\n  }\n  hex_jacobian_ = BuildHexJacobian(false) / hex_size_;\n\n  original_vertices_ = MatrixXfToTensor(original_surface.GetVertices()).cuda();\n  original_faces_ = MatrixXiToTensor(original_surface.GetFaces()).cuda();\n  original_face_normals_ =\n      MatrixXfToTensor(original_surface.GetFaceNormals()).cuda();\n  original_face_normals_ /= original_face_normals_.norm(2, -1, true) + 1e-8f;\n  original_proj_info_ = std::make_unique<geomlib::TriangularProjectionInfo>(\n      original_vertices_, original_faces_);\n  original_sampler_ = std::make_unique<geomlib::TriangularMeshSampler>(\n      original_vertices_, original_faces_.to(torch::kInt64));\n\n  auto& hexes = polycube_complex.GetHexes();\n  Eigen::MatrixXi hex_mat(hexes.size(), 8);\n  for (size_t i = 0; i < hexes.size(); i++) {\n    for (size_t j = 0; j < 8; j++) {\n      hex_mat(i, j) = static_cast<int>(hexes[i][j]);\n    }\n  }\n  hex_corner_indices_ = MatrixXiToTensor(hex_mat).to(torch::kInt64).cuda();\n\n  {\n    auto& surface_indices_uint = polycube_complex.GetSurfaceIndices();\n    // Convert to std;:vector<int>.\n    std::vector<int> surface_indices;\n    for (auto x : surface_indices_uint) {\n      surface_indices.push_back(static_cast<int>(x));\n    }\n    surface_indices_ =\n        torch::from_blob(surface_indices.data(), {(int)surface_indices.size()},\n                         torch::kInt32)\n            .to(torch::kInt64)\n            .cuda();\n\n    rims_ = MatrixXiToTensor(ArrayVector3iToMatrixXi(\n                                 polycube_complex.GetQuadComplex().GetRims()))\n                .to(torch::kInt64)\n                .cuda();\n\n    bi_edges_ =\n        MatrixXiToTensor(ArrayVector2iToMatrixXi(\n                             polycube_complex.GetQuadComplex().GetBiEdges()))\n            .to(torch::kInt64)\n            .cuda();\n\n    rings_ = MatrixXiToTensor(ArrayVector3iToMatrixXi(\n                                  polycube_complex.GetQuadComplex().GetRing()))\n                 .to(torch::kInt64)\n                 .cuda();\n\n    auto degrees = polycube_complex.GetQuadComplex().GetDegrees();\n    surface_degrees_ =\n        torch::from_blob(degrees.data(), {(int)degrees.size()}, torch::kInt32)\n            .to(torch::kInt64)\n            .cuda();\n  }\n\n  // Initialize positions to be the same as the ones in the complex (in\n  // particular the surface positions should come from quad deformation).\n  X_ = MatrixXfToTensor(ArrayVector3fToMatrixXf(target_complex.GetVertices()))\n           .cuda();\n  opt_variables_ = std::vector<torch::Tensor>{X_};\n  if (options_.mode == Mode::LiftedProjection) {\n    auto surface_X = X_.index({surface_indices_, Slice()});\n    auto proj_result = geomlib::GeneralizedTriangleProjection<3>::apply(\n        surface_X, *original_proj_info_);\n    lifted_surface_X_ = surface_X.clone().detach();\n    lifted_surface_X_.requires_grad_(true);\n    opt_variables_.push_back(lifted_surface_X_);\n  }\n  X_.requires_grad_(true);\n  global_step_ = 0;\n  ResetOptimizer();\n\n  PrepareCustomLoss();\n}\n\nvoid HexComplexDeformer::SetPulledbackPositions(\n    const std::vector<Vector3f>& positions) {\n  pulled_back_positions_ =\n      MatrixXfToTensor(ArrayVector3fToMatrixXf(positions)).cuda();\n}\n\nvoid HexComplexDeformer::ResetOptimizer() {\n  // TODO: make this user adjustable.\n  optimizer_ = std::make_unique<torch::optim::Adam>(\n      opt_variables_,\n      torch::optim::AdamOptions(options_.learning_rate)\n          .betas({options_.adam_betas(0), options_.adam_betas(1)}));\n}\n\nHexComplexDeformer::~HexComplexDeformer() {\n  c10::cuda::CUDACachingAllocator::emptyCache();\n}\n\ntorch::Tensor HexComplexDeformer::BuildHexJacobian(\n    bool include_principal_axes) {\n  auto& hex_jacobians = HexConvention::GetCornerJacobians();\n  std::vector<torch::Tensor> hex_jacobian_tensors;\n  for (int i = 0; i < 8; i++) {\n    hex_jacobian_tensors.push_back(MatrixXfToTensor(hex_jacobians[i]));\n  }\n\n  if (include_principal_axes) {\n    hex_jacobian_tensors.push_back(\n        MatrixXfToTensor(HexConvention::GetPrincipleAxes()));\n  }\n  auto hex_jacobian =\n      torch::stack(hex_jacobian_tensors, 0).cuda();  // 8x8x3 or 9x8x3\n\n  return hex_jacobian;\n}\n\nvoid HexComplexDeformer::ForceStop() { force_stop_ = true; }\n\nvoid HexComplexDeformer::Optimize(\n    size_t num_steps, const std::vector<int>& fixed_surface_indices) {\n  assert(status_ == Status::Idle);\n  status_ = Status::Running;\n  force_stop_ = false;\n  auto losses_before = ComputeLoss();\n  LOGI(\"Before hex deform: \");\n  PrintLosses(losses_before);\n  size_t target_step = global_step_ + num_steps;\n\n  StopWatch watch;\n  watch.Tic();\n\n  torch::Tensor fixed_indices;\n  if (!fixed_surface_indices.empty()) {\n    ResetOptimizer();  // clear out previously-stored gradients\n\n    std::vector<int> fixed_indices_copy = fixed_surface_indices;\n    fixed_indices =\n        torch::from_blob(fixed_indices_copy.data(),\n                         {(int)fixed_surface_indices.size()}, torch::kInt32)\n            .to(torch::kInt64)\n            .cuda();\n  }\n  while (global_step_ < target_step && !force_stop_) {\n    global_step_++;\n\n    auto losses = ComputeLoss();\n    auto loss = losses[0] + losses[1] + losses[2] + losses[3] + losses[4];\n\n    optimizer_->zero_grad();\n    loss.backward();\n\n    if (!fixed_surface_indices.empty()) {\n      // Zero-out gradients for fixed indices.\n      if (options_.mode == Mode::LiftedProjection) {\n        lifted_surface_X_.mutable_grad().scatter_(\n            0, fixed_indices.unsqueeze(1).repeat({1, 3}),\n            torch::zeros({fixed_indices.size(0), 3},\n                         lifted_surface_X_.options()));\n      } else {\n        auto indices = surface_indices_.index({fixed_indices});\n        X_.mutable_grad().scatter_(\n            0, indices.unsqueeze(1).repeat({1, 3}),\n            torch::zeros({indices.size(0), 3}, X_.options()));\n      }\n    }\n\n    optimizer_->step();\n    if (options_.snapshot_freq != -1 &&\n        global_step_ % options_.snapshot_freq == 0) {\n      std::lock_guard<std::mutex> lock_guard{snapshot_mutex_};\n      snapshot_ = GetOptimizedPositions();\n      snapshot_fresh_ = true;\n    }\n  }\n  auto loss_after = ComputeLoss();\n  LOGI(\"Took {} sec(s). After hex deform: \", watch.Toc().count());\n  PrintLosses(loss_after);\n  {\n    std::lock_guard<std::mutex> lock_guard{snapshot_mutex_};\n    snapshot_ = GetOptimizedPositions();\n    snapshot_fresh_ = true;\n  }\n  status_ = Status::Idle;\n}\n\nstd::vector<Vector3f> HexComplexDeformer::FetchSnapshot() {\n  std::lock_guard<std::mutex> lock_guard{snapshot_mutex_};\n  snapshot_fresh_ = false;\n  return snapshot_;\n}\n\nbool HexComplexDeformer::HasFreshSnapshot() const {\n  std::lock_guard<std::mutex> lock_guard{snapshot_mutex_};\n  return snapshot_fresh_;\n}\n\nstd::vector<torch::Tensor> HexComplexDeformer::ComputeLoss() {\n  torch::Tensor X;\n  torch::Tensor proj_dist;\n  if (options_.mode == Mode::LiftedProjection) {\n    auto tmp = GetLiftedX();\n    X = tmp[0];\n    proj_dist = tmp[1];\n  } else if (options_.mode == Mode::FixedBoundary) {\n    X = GetMaskedX();\n  } else {\n    assert(options_.mode == Mode::Projection);\n    X = X_;  // Nx3\n  }\n  auto hex_corners = X.index({hex_corner_indices_.reshape({-1}), Slice()})\n                         .reshape({-1, 8, 3});  // Hx8x3\n  auto J = torch::matmul(hex_corners.transpose(1, 2).unsqueeze(1),\n                         hex_jacobian_.unsqueeze(0));  // Hx8x3x3\n\n  // Equal weight since all hexes in polycube have the same volume.\n  auto distortion_weight =\n      torch::ones({J.size(0) * J.size(1)}, torch::kFloat32).cuda() /\n      (J.size(0) * J.size(1));\n  auto distortion_loss = ComputeDistortionLoss(\n      J.reshape({-1, 3, 3}), distortion_weight, distortion_options_);\n\n  auto proj_loss = torch::zeros_like(distortion_loss);\n\n  if (options_.smooth_transport && pulled_back_positions_.dim() > 0) {\n    assert(options_.mode == Mode::Projection);\n    proj_loss = (X - pulled_back_positions_).square().sum();\n  } else {\n    if (options_.mode == Mode::Projection ||\n        options_.mode == Mode::LiftedProjection) {\n      auto X_surface = X.index({surface_indices_, Slice()});\n      if (options_.mode == Mode::Projection) {\n        // Add in projection loss.\n        auto proj_result = geomlib::GeneralizedTriangleProjection<3>::apply(\n            X_surface, *original_proj_info_);\n        auto proj_face_idx = proj_result[1];\n        auto weight =\n            options_.projection_weight * torch::ones_like(distortion_loss);\n        {\n          // Calculate projection weight depending on normal alignment.\n          auto proj_face_normals =\n              original_face_normals_.index({proj_face_idx, Slice()});\n\n          auto ring_u = X_surface.index({rings_.index({Slice(), 0}), Slice()});\n          auto ring_v = X_surface.index({rings_.index({Slice(), 1}), Slice()});\n          auto ring_w = X_surface.index({rings_.index({Slice(), 2}), Slice()});\n          auto ring_normals = torch::cross(ring_v - ring_u, ring_w - ring_u);\n          // No normalization here.\n          auto indices = rings_.index({Slice(), 0}).unsqueeze(1).repeat({1, 3});\n          auto vertex_normals = torch::scatter_add(torch::zeros_like(X_surface),\n                                                   0, indices, ring_normals);\n          vertex_normals /= vertex_normals.norm(2, 1, true) + 1e-8f;\n\n          weight = (vertex_normals *\n                    original_face_normals_.index({proj_face_idx, Slice()}))\n                       .sum(-1);\n          weight = options_.projection_weight *\n                   torch::exp(kNormalAlignExpCoeff * (weight - 1));\n          weight = weight.detach();  // must detach here; otherwise scatter_add\n          // cannot backprop\n        }\n\n        auto Y_surface = original_proj_info_\n                             ->GetPointsAtBarycentricCoordinates(\n                                 proj_face_idx, proj_result[3], proj_result[4])\n                             .detach();\n\n        proj_loss = (weight * (X_surface - Y_surface).square().sum(-1)).sum();\n      } else {\n        proj_loss = options_.projection_weight * proj_dist.sum();\n      }\n\n      // Add input mesh to current surface distance.\n      // This part is a bit slow so make it optional.\n      if (options_.hausdorff_weight > 0) {\n        torch::Tensor mesh_samples;\n        if (options_.use_fixed_samples) {\n          if (!fixed_original_samples_.numel()) {\n            fixed_original_samples_ =\n                original_sampler_->Sample(surface_indices_.size(0));\n          }\n          mesh_samples = fixed_original_samples_;\n        } else {\n          mesh_samples = original_sampler_->Sample(surface_indices_.size(0));\n        }\n        geomlib::TriangularProjectionInfo X_proj_info{X_surface.detach(),\n                                                      rings_};\n        auto proj_result = geomlib::GeneralizedTriangleProjection<3>::apply(\n            mesh_samples, X_proj_info);\n        auto face_ids = proj_result[1];\n        auto v0 = X_surface.index({rings_.index({face_ids, 0}), Slice()});\n        auto v1 = X_surface.index({rings_.index({face_ids, 1}), Slice()});\n        auto v2 = X_surface.index({rings_.index({face_ids, 2}), Slice()});\n\n        auto projected_samples = v0 * proj_result[2].detach().unsqueeze(1) +\n                                 v1 * proj_result[3].detach().unsqueeze(1) +\n                                 v2 * proj_result[4].detach().unsqueeze(1);\n        proj_loss += options_.hausdorff_weight *\n                     (mesh_samples - projected_samples).square().sum(-1).sum();\n      }\n    }\n  }\n\n  auto fairness_loss = torch::zeros_like(distortion_loss);\n  auto smoothness_loss = torch::zeros_like(distortion_loss);\n  if (options_.mode != Mode::FixedBoundary) {\n    // Fairness and smoothness losses.\n    auto surface_X = X.index({surface_indices_, Slice()});\n    auto L = surface_X.index({rims_.index({Slice(), 0}), Slice()}) -\n             2 * surface_X.index({rims_.index({Slice(), 1}), Slice()}) +\n             surface_X.index({rims_.index({Slice(), 2}), Slice()});\n    fairness_loss = options_.fairness_weight * L.square().sum(-1).sum();\n\n    {\n      auto src =\n          surface_X.index({bi_edges_.index({Slice(), 1}), Slice()});  // Ex3\n      auto index =\n          bi_edges_.index({Slice(), 0}).unsqueeze(1).repeat({1, 3});  // Ex3\n      auto avg = torch::scatter_add(torch::zeros_like(surface_X), 0, index,\n                                    src);  // Sx3\n      avg = avg /\n            (surface_degrees_.to(torch::kFloat32).unsqueeze(1).repeat({1, 3}));\n      smoothness_loss =\n          10 * options_.smoothness_weight *\n          (surface_X - avg).square().sum();  // FIXME: artificial scaling\n    }\n  }\n\n  auto custom_loss = options_.custom_weight * custom_loss_fn_();\n\n  return {distortion_loss, proj_loss, fairness_loss, smoothness_loss,\n          custom_loss};\n}\n\nvoid HexComplexDeformer::PrepareCustomLoss() {\n  if (options_.custom_quality == CustomQuality::None) {\n    custom_loss_fn_ = []() {\n      return torch::zeros({1}, torch::kFloat32).cuda();\n    };\n  } else if (options_.custom_quality == CustomQuality::ScaledJacobian) {\n    auto aug_hex_jacobians =\n        BuildHexJacobian(true);  // 9x8x3, lives in a closure\n    custom_loss_fn_ = [aug_hex_jacobians, this]() {\n      torch::Tensor X;\n      if (options_.mode == Mode::LiftedProjection) {\n        auto tmp = GetLiftedX();\n        X = tmp[0];\n      } else if (options_.mode == Mode::FixedBoundary) {\n        X = GetMaskedX();\n      } else {\n        assert(options_.mode == Mode::Projection ||\n               options_.mode == Mode::Riemannian);\n        X = X_;\n      }\n\n      auto hex_corners = X.index({hex_corner_indices_.reshape({-1}), Slice()})\n                             .reshape({-1, 8, 3});  // Hx8x3\n\n      auto hex_corners_ex =\n          hex_corners.transpose(1, 2).unsqueeze(1);  // Hx1x3x8\n      auto J = torch::matmul(hex_corners_ex,\n                             aug_hex_jacobians.unsqueeze(0));  // Hx9x3x3\n      // Normalization is done here.\n      J = J / (torch::norm(J, 2, 2, true) + 1e-8f);\n      auto detJ =\n          torch::linalg_det(J.reshape({-1, 3, 3})).reshape({-1, 9});  // Hx9\n\n      auto scaled_jacobian = std::get<0>(detJ.min(1));  // H\n\n      // We want to maximize scaled jacobian, so negative here.\n      auto loss = -scaled_jacobian;\n\n      if (options_.custom_exp_scaling) {\n        loss = torch::logsumexp(kCustomExpCoeff * loss, -1) / kCustomExpCoeff;\n      } else {\n        loss = loss.mean();\n      }\n      return loss;\n    };\n  } else {\n    throw std::runtime_error(\"Unknown custom quality!\");\n  }\n}\n\ntorch::Tensor HexComplexDeformer::GetMaskedX() {\n  // For now fix surface vertices.\n  auto mask = torch::ones_like(X_);\n  mask.index_put_({surface_indices_, Slice()}, 0.0f);\n  return mask * X_ + (1 - mask) * X_.detach();\n}\n\nstd::vector<torch::Tensor> HexComplexDeformer::GetLiftedX() const {\n  torch::Tensor surface_X;\n  torch::Tensor proj_dist;\n  auto proj_result = geomlib::GeneralizedTriangleProjection<3>::apply(\n      lifted_surface_X_, *original_proj_info_);\n  surface_X = original_proj_info_->GetPointsAtBarycentricCoordinates(\n      proj_result[1], proj_result[3], proj_result[4]);\n\n  proj_dist = (surface_X.detach() - lifted_surface_X_).square().sum(-1);\n  auto X = X_.scatter(0, surface_indices_.unsqueeze(1).expand_as(surface_X),\n                      surface_X);\n\n  return {X, proj_dist};\n}\n\nstd::vector<Vector3f> HexComplexDeformer::GetOptimizedPositions() const {\n  auto X = options_.mode == Mode::LiftedProjection ? GetLiftedX()[0] : X_;\n  return MatrixXfToArrayVector3f(TensorToMatrixXf(X.cpu().detach()));\n}\n\nvoid HexComplexDeformer::PrintLosses(const std::vector<torch::Tensor>& losses) {\n  LOGI(\n      \"distortion_loss: {}  | proj_loss : {} | fairness_loss: {} | \"\n      \"smoothness_loss: {} |\"\n      \"custom_loss: {}\",\n      losses[0].item<float>(), losses[1].item<float>(), losses[2].item<float>(),\n      losses[3].item<float>(), losses[4].item<float>());\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/optim/HexComplexDeformer.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\n#include <geomlib/TriangularMeshSampler.h>\n#include <geomlib/generalized_projection_info.h>\n#include <torch/torch.h>\n\n#include \"models/HexComplex.h\"\n#include \"models/TriangularMesh.h\"\n#include \"optim/DistortionEnergy.h\"\n\nnamespace hex {\nclass HexComplexDeformer {\n public:\n  enum class Mode { FixedBoundary, Projection, LiftedProjection };\n  enum class CustomQuality { None, ScaledJacobian };\n  enum class Status { Idle, Running };\n\n  struct Options {\n    Mode mode{Mode::Projection};\n    float projection_weight{1.0f};\n    float hausdorff_weight{1.0f};\n    float fairness_weight{0.0f};\n    float smoothness_weight{1.0f};\n    float custom_weight{1.0f};\n    CustomQuality custom_quality{CustomQuality::None};\n    bool custom_exp_scaling{false};\n\n    bool smooth_transport{false};\n    bool use_fixed_samples{false};\n\n    float learning_rate{1e-4};\n    Vector2f adam_betas{0.9f, 0.9f};\n    int snapshot_freq{-1};\n  };\n\n  HexComplexDeformer(const HexComplex& polycube_complex,\n                     const HexComplex& target_complex,\n                     const TriangularMesh& original_surface,\n                     const DistortionOptions& distortion_options,\n                     const Options& options);\n  ~HexComplexDeformer();\n  void SetPulledbackPositions(const std::vector<Vector3f>& positions);\n  void Optimize(size_t num_steps,\n                const std::vector<int>& fixed_surface_indices);\n  std::vector<Vector3f> GetOptimizedPositions() const;\n  std::vector<Vector3f> FetchSnapshot();\n  bool HasFreshSnapshot() const;\n  Status GetStatus() const { return status_; }\n  void ForceStop();\n\n private:\n  torch::Tensor BuildHexJacobian(bool include_principal_axes);\n  std::vector<torch::Tensor> ComputeLoss();\n  void PrepareCustomLoss();\n  torch::Tensor Regularize(torch::Tensor D);\n  torch::Tensor GetMaskedX();\n  std::vector<torch::Tensor> GetLiftedX() const;\n  void PrintLosses(const std::vector<torch::Tensor>& losses);\n\n  void ResetOptimizer();\n\n  DistortionOptions distortion_options_;\n  Options options_;\n  float hex_size_;\n  std::function<torch::Tensor(void)> custom_loss_fn_;\n\n  // Constant tensors stored on GPU.\n  torch::Tensor original_vertices_;  // for projection\n  torch::Tensor original_faces_;\n  torch::Tensor original_lifted_vertices_;\n  torch::Tensor original_face_normals_;\n\n  std::unique_ptr<geomlib::TriangularProjectionInfo> original_proj_info_;\n  std::unique_ptr<geomlib::TriangularMeshSampler> original_sampler_;\n  torch::Tensor fixed_original_samples_;\n\n  torch::Tensor surface_indices_;  // surface vertex indices in the hex complex\n  torch::Tensor rims_;             // Rx3\n  torch::Tensor bi_edges_;         // Ex2\n  torch::Tensor rings_;            // optional, 4Qx3\n  torch::Tensor surface_degrees_;  // S\n\n  torch::Tensor hex_jacobian_;        // 8x8x3\n  torch::Tensor hex_corner_indices_;  // Hx8\n\n  torch::Tensor pulled_back_positions_;  // optional, Nx3\n\n  // Below are variables.\n  torch::Tensor X_;                 // Nx3, mapped positions\n  torch::Tensor lifted_surface_X_;  // SxD\n  std::vector<torch::Tensor> opt_variables_;\n\n  std::unique_ptr<torch::optim::Optimizer> optimizer_;\n  size_t global_step_;\n\n  // Snapshot.\n  std::vector<Vector3f> snapshot_;\n  bool snapshot_fresh_{false};\n  mutable std::mutex snapshot_mutex_;\n  std::atomic<Status> status_{Status::Idle};\n  std::atomic<bool> force_stop_{false};\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/optim/LargestCuboidSolver.cpp",
    "content": "#include \"LargestCuboidSolver.h\"\n\n#include <stack>\n\nnamespace hex {\nnamespace {\nvoid FindLargestRectangleIn1DHistogram(const std::vector<int>& histogram,\n                                       Vector3i& result, int& max_area) {\n  // result: (left_idx, right_idx, height).\n\n  std::stack<int> s;\n\n  int n = static_cast<int>(histogram.size());\n  max_area = 0;\n\n  for (int i = 0; i <= n;) {\n    if (i < n && (s.empty() || histogram[s.top()] <= histogram[i])) {\n      s.push(i++);\n    } else {\n      if (i < n || !s.empty()) {\n        int tp = s.top();\n        s.pop();\n\n        int area_with_top = histogram[tp] * (s.empty() ? i : i - s.top() - 1);\n        if (max_area < area_with_top) {\n          max_area = area_with_top;\n          result = {s.empty() ? 0 : s.top() + 1, i - 1, histogram[tp]};\n        }\n      } else {\n        // i == n && s.empty()\n        break;\n      }\n    }\n  }\n\n  if (max_area > 0) {\n    assert(max_area == ((result(1) - result(0) + 1) * result(2)));\n  }\n}\n}  // namespace\n\nLargestCuboidSolver::LargestCuboidSolver(const Array3D<int>& occupancy)\n    : occupancy_{occupancy} {}\n\nLargestRectangleSolver::LargestRectangleSolver(const Array2D<int>& occupancy)\n    : occupancy_{occupancy} {}\n\nvoid LargestRectangleSolver::Solve(Vector2i& result_cl, Vector2i& result_cr,\n                                   int& max_area) {\n  int d0 = occupancy_.GetDim(0);\n  int d1 = occupancy_.GetDim(1);\n\n  max_area = 0;\n  std::vector<int> histogram(d1, 0);\n  for (int i = 0; i < d0; i++) {\n    // Update histogram.\n    for (int j = 0; j < d1; j++) {\n      histogram[j] = occupancy_(i, j) ? histogram[j] + 1 : 0;\n    }\n\n    Vector3i res_1d;\n    int area;\n    FindLargestRectangleIn1DHistogram(histogram, res_1d, area);\n    int l = res_1d(0);\n    int r = res_1d(1);\n    int h = res_1d(2);\n    if (max_area < area) {\n      max_area = area;\n      result_cl = {i - h + 1, l};\n      result_cr = {i, r};\n    }\n  }\n  if (max_area > 0) {\n    assert(max_area == (result_cr.x() - result_cl.x() + 1) *\n                           (result_cr.y() - result_cl.y() + 1));\n  }\n}\n\nvoid LargestCuboidSolver::Solve(Vector3i& result_cl, Vector3i& result_cr,\n                                int& max_volume) {\n  int d0 = occupancy_.GetDim(0);\n  int d1 = occupancy_.GetDim(1);\n  int d2 = occupancy_.GetDim(2);\n  max_volume = 0;\n  Array3D<int> histogram(d0, d1, d2);\n\n  // We will use omp to speed things up, so pre-compute histogram.\n  // histogram(i, j, k) denote the number of consecutive 1's along i-1, i-2,\n  // etc..\n  for (int j = 0; j < d1; j++) {\n    for (int k = 0; k < d2; k++) {\n      histogram(0, j, k) = occupancy_(0, j, k) ? 1 : 0;\n    }\n  }\n\n  for (int i = 1; i < d0; i++) {\n    for (int j = 0; j < d1; j++) {\n      for (int k = 0; k < d2; k++) {\n        histogram(i, j, k) =\n            occupancy_(i, j, k) ? histogram(i - 1, j, k) + 1 : 0;\n      }\n    }\n  }\n\n#pragma omp parallel for schedule(dynamic)\n  for (int i = 0; i < d0; i++) {\n    // Here is the slow part: we enumerate a threshold of height and generate\n    // a binary 2D matrix to call the subroutine.\n    Vector3i local_cl, local_cr;\n    int local_max_volume = 0;\n    for (int t = 1; t <= i + 1; t++) {\n      Array2D<int> mask(d1, d2);\n      for (int j = 0; j < d1; j++) {\n        for (int k = 0; k < d2; k++) {\n          mask(j, k) = histogram(i, j, k) >= t ? 1 : 0;\n        }\n      }\n\n      Vector2i cl, cr;\n      int max_area;\n      LargestRectangleSolver(mask).Solve(cl, cr, max_area);\n      int volume = max_area * t;\n      if (volume > local_max_volume) {\n        local_max_volume = volume;\n        local_cl = {i - t + 1, cl.x(), cl.y()};\n        local_cr = {i, cr.x(), cr.y()};\n      }\n    }\n\n#pragma omp critical\n    {\n      if (local_max_volume > max_volume) {\n        max_volume = local_max_volume;\n        result_cl = local_cl;\n        result_cr = local_cr;\n      }\n    }\n  }\n\n  if (max_volume > 0) {\n    assert(max_volume == (result_cr.x() - result_cl.x() + 1) *\n                             (result_cr.y() - result_cl.y() + 1) *\n                             (result_cr.z() - result_cl.z() + 1));\n  }\n}\n\nvoid LargestCuboidSolver::SolveBruteForce(Vector3i& cl, Vector3i& cr,\n                                          int& max_volume) {\n  int d0 = occupancy_.GetDim(0);\n  int d1 = occupancy_.GetDim(1);\n  int d2 = occupancy_.GetDim(2);\n  Array3D<int> prefix_sum(d0, d1, d2);\n  for (int i = 0; i < d0; i++)\n    for (int j = 0; j < d1; j++)\n      for (int k = 0; k < d2; k++) {\n        int v0 = i == 0 ? 0 : prefix_sum(i - 1, j, k);\n        int v1 = j == 0 ? 0 : prefix_sum(i, j - 1, k);\n        int v2 = k == 0 ? 0 : prefix_sum(i, j, k - 1);\n        int v01 = (i == 0 || j == 0) ? 0 : prefix_sum(i - 1, j - 1, k);\n        int v02 = (i == 0 || k == 0) ? 0 : prefix_sum(i - 1, j, k - 1);\n        int v12 = (j == 0 || k == 0) ? 0 : prefix_sum(i, j - 1, k - 1);\n        int v012 =\n            (i == 0 || j == 0 || k == 0) ? 0 : prefix_sum(i - 1, j - 1, k - 1);\n\n        prefix_sum(i, j, k) =\n            occupancy_(i, j, k) + v0 + v1 + v2 - v01 - v02 - v12 + v012;\n      }\n\n  max_volume = 0;\n  for (int il = 0; il < d0; il++)\n    for (int jl = 0; jl < d1; jl++)\n      for (int kl = 0; kl < d2; kl++) {\n        for (int ir = il; ir < d0; ir++)\n          for (int jr = jl; jr < d1; jr++)\n            for (int kr = kl; kr < d2; kr++) {\n              int v0 = il == 0 ? 0 : prefix_sum(il - 1, jr, kr);\n              int v1 = jl == 0 ? 0 : prefix_sum(ir, jl - 1, kr);\n              int v2 = kl == 0 ? 0 : prefix_sum(ir, jr, kl - 1);\n              int v01 =\n                  (il == 0 || jl == 0) ? 0 : prefix_sum(il - 1, jl - 1, kr);\n              int v02 =\n                  (il == 0 || kl == 0) ? 0 : prefix_sum(il - 1, jr, kl - 1);\n              int v12 =\n                  (jl == 0 || kl == 0) ? 0 : prefix_sum(ir, jl - 1, kl - 1);\n              int v012 = (il == 0 || jl == 0 || kl == 0)\n                             ? 0\n                             : prefix_sum(il - 1, jl - 1, kl - 1);\n\n              int count = prefix_sum(ir, jr, kr) - v0 - v1 - v2 + v01 + v02 +\n                          v12 - v012;\n\n              if (count == (ir - il + 1) * (jr - jl + 1) * (kr - kl + 1)) {\n                if (max_volume < count) {\n                  max_volume = count;\n                  cl = {il, jl, kl};\n                  cr = {ir, jr, kr};\n                }\n              }\n            }\n      }\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/optim/LargestCuboidSolver.h",
    "content": "#pragma once\n\n#include \"models/MultiDimArray.h\"\n\nnamespace hex {\nclass LargestCuboidSolver {\n public:\n  LargestCuboidSolver(const Array3D<int>& occupancy);\n\n  // Return the two corners of the largest cuboid and the largest volume.\n  void Solve(Vector3i& cl, Vector3i& cr, int& volume);\n  void SolveBruteForce(Vector3i& cl, Vector3i& cr, int& volume);\n\n private:\n  Array3D<int> occupancy_;\n};\n\nclass LargestRectangleSolver {\n public:\n  LargestRectangleSolver(const Array2D<int>& occupancy);\n\n  // Return the two corners of the largest cuboid.\n  void Solve(Vector2i& cl, Vector2i& cr, int& area);\n\n private:\n  Array2D<int> occupancy_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/optim/PolycubeOptimizer.cpp",
    "content": "#include \"PolycubeOptimizer.h\"\n\n#include <ATen/Functions.h>\n#include <c10/cuda/CUDACachingAllocator.h>\n\n#include \"LargestCuboidSolver.h\"\n#include \"logging.h\"\n#include \"torch_utils.h\"\n\nusing namespace torch::indexing;\n\nnamespace hex {\nnamespace {\nconst float kSideLengthLower = 0.0f;\nconst float kSideLengthUpper = 1.0f;  // 0.6f;\nconst float kSimpleCubeHalflength = 0.1f;\nconst int kSuggestDiscreteNum = 32;\nconst float kSubtractPadding = 0.2f;\nconst float kSubtractExtra = 0.005f;\n}  // namespace\n\nPolycubeOptimizer::PolycubeOptimizer(Options options)\n    : options_{options}, device_{torch::kCUDA}, status_{Status::Idle} {}\n\nvoid PolycubeOptimizer::Optimize(const TetrahedralMesh& mesh,\n                                 const Polycube& polycube, size_t num_steps,\n                                 const std::vector<int>& locked) {\n  LOGI(\"Optimize cuboid decomposition for {} steps...\", num_steps);\n  stopped_ = false;\n  Prepare(mesh, polycube, locked);\n  LOGI(\"Loss before optimization: {}\", ComputeCurrentLoss());\n  status_ = Status::Running;\n  OptimizeSteps(num_steps);\n  status_ = Status::Completed;\n  LOGI(\"Loss after optimization: {}\", ComputeCurrentLoss());\n  c10::cuda::CUDACachingAllocator::emptyCache();\n}\n\nvoid PolycubeOptimizer::Prepare(const TetrahedralMesh& mesh,\n                                const Polycube& polycube,\n                                const std::vector<int>& locked) {\n  PrepareGPUMeshData(mesh);\n  PrepareBBox(mesh);\n\n  // Initialize model.\n  std::vector<int> fixed_indices;\n  std::vector<int> var_indices;\n  for (int i = 0; i < static_cast<int>(locked.size()); i++) {\n    if (locked[i]) {\n      fixed_indices.push_back(i);\n    } else {\n      var_indices.push_back(i);\n    }\n  }\n  var_indices_ = torch::from_blob(var_indices.data(), {(int)var_indices.size()},\n                                  torch::kInt32)\n                     .to(torch::kInt64)\n                     .to(device_);\n  fixed_indices_ = torch::from_blob(fixed_indices.data(),\n                                    {(int)fixed_indices.size()}, torch::kInt32)\n                       .to(torch::kInt64)\n                       .to(device_);\n  auto cuboid_params = TransformToCuboidParams(polycube).to(device_);\n\n  weights_ = TransformToWeight(cuboid_params.index({var_indices_, Slice()}));\n  weights_.requires_grad_(true);\n  fixed_params_ = cuboid_params.index({fixed_indices_, Slice()});\n\n  // Initialize optimizer.\n  optimizer_ = std::make_unique<torch::optim::Adam>(\n      std::vector<torch::Tensor>{weights_},\n      torch::optim::AdamOptions(options_.learning_rate)\n          .betas({options_.adam_betas(0), options_.adam_betas(1)}));\n\n  global_step_ = 0;\n  snapshot_ = polycube;\n}\n\ntorch::Tensor PolycubeOptimizer::CombineCuboidParams(bool preserve_order) {\n  auto var_params = TransformToCuboidParams(weights_);\n  if (preserve_order) {\n    auto result = torch::zeros(\n        {var_params.size(0) + fixed_params_.size(0), var_params.size(1)},\n        fixed_params_.options());\n    result.scatter_(0,\n                    var_indices_.unsqueeze(1).repeat({1, var_params.size(1)}),\n                    var_params);\n    result.scatter_(\n        0, fixed_indices_.unsqueeze(1).repeat({1, fixed_params_.size(1)}),\n        fixed_params_);\n    return result;\n  } else {\n    return torch::cat({var_params, fixed_params_}, 0);\n  }\n}\n\nfloat PolycubeOptimizer::ComputeCurrentLoss() {\n  auto cuboid_params = CombineCuboidParams(false);\n  auto polycube_sdf = ComputeUnionOfCuboidsSDF(anchors_,\n                                               cuboid_params);  // N\n  auto loss = ComputeLoss(cuboid_params, polycube_sdf);\n  return loss.item<float>();\n}\n\nvoid PolycubeOptimizer::PrepareGPUMeshData(const TetrahedralMesh& target_mesh) {\n  mesh_sdf_ = VectorXfToTensor(target_mesh.GetDistanceField()).to(device_);\n  anchors_ = MatrixXfToTensor(target_mesh.GetAnchors()).to(device_);\n}\n\nvoid PolycubeOptimizer::PrepareBBox(const TetrahedralMesh& mesh) {\n  auto vertices = MatrixXfToTensor(mesh.GetVertices()).to(device_);\n  bbox_[0] = std::get<0>(vertices.min(0));\n  bbox_[1] = std::get<0>(vertices.max(0));\n  max_b_ = (bbox_[1] - bbox_[0]) / 2;\n}\n\nvoid PolycubeOptimizer::OptimizeSteps(size_t num_steps) {\n  size_t target_step = global_step_ + num_steps;\n  while (!stopped_ && global_step_ < target_step) {\n    global_step_++;\n\n    auto closure = [&]() {\n      auto cuboid_params = CombineCuboidParams(false);\n      auto polycube_sdf = ComputeUnionOfCuboidsSDF(anchors_,\n                                                   cuboid_params);  // N\n      auto loss = ComputeLoss(cuboid_params, polycube_sdf);\n\n      optimizer_->zero_grad();\n      loss.backward();\n      return loss;\n    };\n    optimizer_->step(closure);\n\n    if (global_step_ % options_.snapshot_freq == 0) {\n      std::lock_guard<std::mutex> lock_guard(snapshot_mutex_);\n      snapshot_ = GetOptimizedPolycube();\n    }\n  }\n}\n\ntorch::Tensor PolycubeOptimizer::ComputeLoss(\n    const torch::Tensor& cuboid_params, const torch::Tensor& polycube_sdf) {\n  auto positive_l2_loss =\n      ((torch::where(mesh_sdf_ > 0, polycube_sdf,\n                     torch::zeros_like(polycube_sdf)) -\n        torch::maximum(mesh_sdf_, torch::zeros_like(mesh_sdf_)))\n           .square())\n          .mean(-1);\n\n  auto negative_l2_loss =\n      (torch::where(torch::logical_and(mesh_sdf_<0, polycube_sdf> 0),\n                    polycube_sdf, torch::zeros_like(polycube_sdf)))\n          .square()\n          .mean(-1);\n  auto l2_loss = options_.positive_l2_weight * positive_l2_loss +\n                 options_.negative_l2_weight * negative_l2_loss;\n\n  return l2_loss;\n}\n\nPolycube PolycubeOptimizer::GetOptimizedPolycube() {\n  return TransformToPolycube(CombineCuboidParams(true));\n}\n\ntorch::Tensor PolycubeOptimizer::TransformToCuboidParams(\n    const torch::Tensor& weight) {\n  // weight - Cx6\n  auto pos_weight = torch::sigmoid(weight);  // Cx6\n  auto bT = ParseCuboidParams(pos_weight);\n  auto b = std::get<0>(bT);\n  auto t = std::get<1>(bT);\n\n  auto max_b = max_b_.index({None, Slice()});\n  b = (kSideLengthLower + b * (kSideLengthUpper - kSideLengthLower)) * max_b;\n  t = t * max_b * 2 + bbox_[0];\n\n  return torch::cat({b, t}, -1);  // Cx6\n}\n\ntorch::Tensor PolycubeOptimizer::TransformToWeight(\n    const torch::Tensor& cuboid_params) {\n  // cuboid_params - Cx6\n  auto bT = ParseCuboidParams(cuboid_params);\n  auto b = std::get<0>(bT);\n  auto t = std::get<1>(bT);\n\n  auto max_b = max_b_.index({None, Slice()});\n  b = (b / max_b - kSideLengthLower) / (kSideLengthUpper - kSideLengthLower);\n  t = (t - bbox_[0]) / (max_b * 2);\n\n  auto weight = torch::cat({b, t}, -1);  // Cx6\n  weight = torch::clamp(weight, 0.0f, 1.0f);\n\n  // Inverse sigmoid.\n  weight = torch::log(weight / (1 - weight));\n  return weight;\n}\n\ntorch::Tensor PolycubeOptimizer::TransformToCuboidParams(\n    const Polycube& polycube) {\n  return MatrixXfToTensor(polycube.ToMatrix());\n}\n\nPolycube PolycubeOptimizer::TransformToPolycube(\n    const torch::Tensor& cuboid_params_gpu) {\n  return Polycube(TensorToMatrixXf(cuboid_params_gpu.cpu()));\n}\n\nPolycube PolycubeOptimizer::GetSnapshot() {\n  std::lock_guard<std::mutex> lock_guard(snapshot_mutex_);\n  return snapshot_;\n}\nvoid PolycubeOptimizer::SetIdle() { status_ = Status::Idle; }\n\nbool PolycubeOptimizer::IsIdle() { return status_ == Status::Idle; }\n\nPolycubeOptimizer::Status PolycubeOptimizer::GetStatus() { return status_; }\n\nvoid PolycubeOptimizer::Stop() { stopped_ = true; }\n\nstd::tuple<torch::Tensor, Vector3f> PolycubeOptimizer::CreateAmbientGrid(\n    int discrete_num, float padding) {\n  std::vector<torch::Tensor> steps;\n\n  for (int i = 0; i < 3; i++) {\n    float lb = bbox_[0][i].item<float>();\n    float rb = bbox_[1][i].item<float>();\n    float h = rb - lb;\n    steps.push_back(\n        torch::linspace(lb - padding * h, rb + padding * h, discrete_num));\n  }\n  auto delta = TensorToVectorXf(\n      ((bbox_[1] - bbox_[0]) * (1.0f + 2 * padding) / (discrete_num - 1))\n          .detach()\n          .cpu());\n  auto grids = torch::meshgrid(steps);\n\n  return {torch::stack(grids, -1).to(torch::kFloat32).cuda(),\n          delta};  // DxDxDx3\n}\n\nbool PolycubeOptimizer::SuggestNewCuboid(const TetrahedralMesh& mesh,\n                                         const Polycube& polycube,\n                                         SuggestStrategy strategy,\n                                         Cuboid& new_cuboid) {\n  if (polycube.GetCuboidCount() == 0) {\n    strategy = SuggestStrategy::Largest;\n  }\n\n  PrepareGPUMeshData(mesh);\n  PrepareBBox(mesh);\n\n  auto cuboid_params = TransformToCuboidParams(polycube).to(device_);\n  if (strategy == SuggestStrategy::Simple) {\n    // Anchors are better to use than uniform grid, since it has points close to\n    // the surface.\n    auto polycube_sdf = ComputeUnionOfCuboidsSDF(anchors_,\n                                                 cuboid_params);  // N\n\n    // Strategy: find an uncovered point with mesh sdf < 0 but largest polycube\n    // sdf.\n    auto tmp_sdf = torch::where(mesh_sdf_ < 0, polycube_sdf,\n                                torch::zeros_like(polycube_sdf));\n    auto tmp_max = tmp_sdf.max(0);\n    float max_value = std::get<0>(tmp_max).item<float>();\n    int anchor_id = std::get<1>(tmp_max).item<int>();\n\n    if (max_value < 1e-8f) {\n      return false;\n    }\n    new_cuboid.center =\n        TensorToVectorXf(anchors_.index({anchor_id, Slice()}).detach().cpu());\n    new_cuboid.halflengths = kSimpleCubeHalflength * Eigen::Vector3f::Ones();\n    return true;\n  } else {\n    assert(strategy == SuggestStrategy::Largest);\n    int discrete_num = kSuggestDiscreteNum;\n    auto ambient_grid = CreateAmbientGrid(discrete_num);\n    auto grid_points = std::get<0>(ambient_grid);\n    Vector3f delta = std::get<1>(ambient_grid);\n    auto grid_points_flattened = grid_points.reshape({-1, 3});\n\n    // Find the largest cuboid contained in the target mesh but disjoint from\n    // the current polycube.\n    auto mesh_sdf = mesh.ComputeDistanceFieldGPU(grid_points_flattened);  // N\n    torch::Tensor polycube_sdf;\n    if (polycube.GetCuboidCount() == 0) {\n      // Just set polycube_sdf to > 0 zero if there's no polycube.\n      polycube_sdf = torch::ones_like(mesh_sdf);\n    } else {\n      polycube_sdf = ComputeUnionOfCuboidsSDF(grid_points_flattened,\n                                              cuboid_params);  // N\n    }\n    auto mask = torch::logical_and(polycube_sdf >= 0, mesh_sdf < 0);  // N\n    mask = mask.reshape({discrete_num, discrete_num, discrete_num})\n               .to(torch::kInt32);  // DxDxD\n\n    // Next find the largest cuboid of 1's in mask.\n    auto mask_array_3d = TensorToArray3DInt(mask.detach().cpu());\n\n    Vector3i cl, cr;\n    int max_volume;\n    LargestCuboidSolver(mask_array_3d).Solve(cl, cr, max_volume);\n\n    Vector3f bbox_low = TensorToVectorXf(bbox_[0].detach().cpu());\n    if (max_volume > 0) {\n      LOGI(\"Find largest cuboid ({},{},{})-({},{},{}) with integral volume {}\",\n           cl.x(), cl.y(), cl.z(), cr.x(), cr.y(), cr.z(), max_volume);\n      // Vector3f delta = (bbox_high - bbox_low) / (discrete_num - 1);\n\n      Vector3f pl = cl.cast<float>().cwiseProduct(delta);\n      Vector3f pr = cr.cast<float>().cwiseProduct(delta);\n      new_cuboid.SetBound(bbox_low + pl - delta / 2, bbox_low + pr + delta / 2);\n      return true;\n\n    } else {\n      return false;\n    }\n  }\n};\n\nbool PolycubeOptimizer::SuggestSubtractCuboid(const TetrahedralMesh& mesh,\n                                              const Polycube& polycube,\n                                              Cuboid& subtract_cuboid) {\n  if (polycube.GetCuboidCount() == 0) {\n    return false;\n  }\n\n  PrepareGPUMeshData(mesh);\n  PrepareBBox(mesh);\n\n  auto cuboid_params = TransformToCuboidParams(polycube).to(device_);\n  int discrete_num = kSuggestDiscreteNum;\n  auto ambient_grid = CreateAmbientGrid(\n      discrete_num,\n      kSubtractPadding);  // create grid slightly bigger than the mesh\n  auto grid_points = std::get<0>(ambient_grid);\n  Vector3f delta = std::get<1>(ambient_grid);\n  auto grid_points_flattened = grid_points.reshape({-1, 3});\n\n  // Find the largest cuboid contained in the polycube but not in the mesh.\n  auto mesh_sdf = mesh.ComputeDistanceFieldGPU(grid_points_flattened);  // N\n  torch::Tensor polycube_sdf;\n  polycube_sdf = ComputeUnionOfCuboidsSDF(grid_points_flattened,\n                                          cuboid_params);       // N\n  auto mask = torch::logical_and(polycube_sdf<0, mesh_sdf> 0);  // N\n  mask = mask.reshape({discrete_num, discrete_num, discrete_num})\n             .to(torch::kInt32);  // DxDxD\n\n  // Next find the largest cuboid of 1's in mask\n  auto mask_array_3d = TensorToArray3DInt(mask.detach().cpu());\n\n  Vector3i cl, cr;\n  int max_volume;\n  LargestCuboidSolver(mask_array_3d).Solve(cl, cr, max_volume);\n\n  Vector3f bbox_low = TensorToVectorXf(\n      (bbox_[0] - (bbox_[1] - bbox_[0]) * kSubtractPadding).detach().cpu());\n  if (max_volume > 0) {\n    LOGI(\"Find largest cuboid ({},{},{})-({},{},{}) with integral volume {}\",\n         cl.x(), cl.y(), cl.z(), cr.x(), cr.y(), cr.z(), max_volume);\n    Vector3f pl = cl.cast<float>().cwiseProduct(delta).array() - kSubtractExtra;\n    Vector3f pr = cr.cast<float>().cwiseProduct(delta).array() + kSubtractExtra;\n    subtract_cuboid.SetBound(bbox_low + pl - delta / 2,\n                             bbox_low + pr + delta / 2);\n    return true;\n\n  } else {\n    return false;\n  }\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/optim/PolycubeOptimizer.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\n#include <torch/torch.h>\n\n#include \"models/Polycube.h\"\n#include \"models/TetrahedralMesh.h\"\n#include \"optim/DirectModel.h\"\n\nnamespace hex {\nclass PolycubeOptimizer {\n public:\n  enum class Status { Idle, Running, Completed };\n  enum class SuggestStrategy { Simple, Largest };\n\n  struct Options {\n    float positive_l2_weight{1.0f};\n    float negative_l2_weight{1.0f};\n    float learning_rate{5e-3};\n    Vector2f adam_betas{0.9f, 0.9f};\n    int snapshot_freq{50};\n  };\n\n  PolycubeOptimizer(Options options);\n  void Optimize(const TetrahedralMesh& mesh, const Polycube& polycube,\n                size_t num_steps, const std::vector<int>& locked);\n  bool SuggestNewCuboid(const TetrahedralMesh& mesh, const Polycube& polycube,\n                        SuggestStrategy strategy, Cuboid& new_cuboid);\n  bool SuggestSubtractCuboid(const TetrahedralMesh& mesh,\n                             const Polycube& polycube, Cuboid& subtract_cuboid);\n  float ComputeCurrentLoss();\n  Polycube GetSnapshot();\n  Status GetStatus();\n  void SetIdle();\n  bool IsIdle();\n  void Stop();\n\n private:\n  void Prepare(const TetrahedralMesh& mesh, const Polycube& polycube,\n               const std::vector<int>& locked);\n  void OptimizeSteps(size_t num_steps);\n\n  void PrepareBBox(const TetrahedralMesh& mesh);\n  void PrepareGPUMeshData(const TetrahedralMesh& target_mesh);\n  std::tuple<torch::Tensor, Vector3f> CreateAmbientGrid(int discrete_num,\n                                                        float padding = 0.0f);\n\n  Polycube GetOptimizedPolycube();\n\n  torch::Tensor TransformToCuboidParams(const torch::Tensor& weight);\n  torch::Tensor TransformToWeight(const torch::Tensor& cuboid_params);\n  torch::Tensor TransformToCuboidParams(const Polycube& polycube);\n  Polycube TransformToPolycube(const torch::Tensor& cuboid_params);\n  torch::Tensor ComputeLoss(const torch::Tensor& cuboid_params,\n                            const torch::Tensor& polycube_sdf);\n  torch::Tensor CombineCuboidParams(bool preserve_order);\n\n  Options options_;\n  size_t global_step_;\n\n  // Indices of cuboids that are being optimized/locked, etc.\n  torch::Tensor var_indices_;\n  torch::Tensor fixed_indices_;\n\n  // Variable to optimize. Cuboid parameters are scaled version of weights_.\n  torch::Tensor weights_;\n  torch::Tensor fixed_params_;\n\n  // GPU copies of mesh data.\n  torch::Tensor mesh_sdf_;\n  torch::Tensor anchors_;\n\n  // Derived small tensors, used for computing transformations.\n  torch::Tensor bbox_[2];\n  torch::Tensor max_b_;\n\n  std::unique_ptr<torch::optim::Optimizer> optimizer_;\n\n  torch::Device device_;\n\n  // Snapshot.\n  Polycube snapshot_;\n  std::mutex snapshot_mutex_;\n  std::atomic<Status> status_{Status::Idle};\n  std::atomic<bool> stopped_{false};\n};\n\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/optim/torch_utils.cpp",
    "content": "#include \"torch_utils.h\"\n\n#include <c10/core/ScalarType.h>\n\nusing namespace torch::indexing;\nnamespace hex {\ntorch::Tensor VectorXfToTensor(const Eigen::VectorXf& vec) {\n  auto res = torch::zeros({vec.rows()}, torch::dtype(torch::kFloat32));\n  Eigen::Map<Eigen::VectorXf> mp{res.data_ptr<float>(), vec.rows()};\n  mp = vec;\n  return res;\n}\n\ntorch::Tensor VectorXiToTensor(const Eigen::VectorXi& vec) {\n  auto res = torch::zeros({vec.rows()}, torch::dtype(torch::kInt32));\n  Eigen::Map<Eigen::VectorXi> mp{res.data_ptr<int>(), vec.rows()};\n  mp = vec;\n  return res;\n}\n\ntorch::Tensor MatrixXfToTensor(const Eigen::MatrixXf& mat) {\n  auto res =\n      torch::zeros({mat.cols(), mat.rows()}, torch::dtype(torch::kFloat32));\n  Eigen::Map<Eigen::MatrixXf> mp{res.data_ptr<float>(), mat.rows(), mat.cols()};\n  mp = mat;\n  return res.transpose(0, 1);\n}\n\nEigen::MatrixXf TensorToMatrixXf(const torch::Tensor& tensor) {\n  assert(tensor.dtype() == torch::kFloat32);\n  assert(tensor.dim() == 2);\n  assert(!tensor.is_cuda());\n\n  auto tensor_cont = tensor.contiguous();\n\n  // Adjust for column-major Eigen conventions.\n  return Eigen::Map<\n      Eigen::Matrix<float, Eigen::Dynamic, Eigen::Dynamic, Eigen::RowMajor>>{\n      tensor_cont.data_ptr<float>(), tensor.size(0), tensor.size(1)};\n}\n\nEigen::VectorXf TensorToVectorXf(const torch::Tensor& tensor) {\n  assert(tensor.dtype() == torch::kFloat32);\n  assert(tensor.dim() == 1);\n  assert(!tensor.is_cuda());\n\n  auto tensor_cont = tensor.contiguous();\n\n  return Eigen::Map<Eigen::VectorXf>{tensor_cont.data_ptr<float>(),\n                                     tensor.size(0)};\n}\n\nEigen::VectorXi TensorToVectorXi(const torch::Tensor& tensor) {\n  assert(tensor.dtype() == torch::kInt32);\n  assert(tensor.dim() == 1);\n  assert(!tensor.is_cuda());\n\n  auto tensor_cont = tensor.contiguous();\n\n  return Eigen::Map<Eigen::VectorXi>{tensor_cont.data_ptr<int>(),\n                                     tensor.size(0)};\n}\n\ntorch::Tensor MatrixXiToTensor(const Eigen::MatrixXi& mat) {\n  auto res =\n      torch::zeros({mat.cols(), mat.rows()}, torch::dtype(torch::kInt32));\n  Eigen::Map<Eigen::MatrixXi> mp{res.data_ptr<int>(), mat.rows(), mat.cols()};\n  mp = mat;\n  return res.transpose(0, 1);\n}\n\nstd::tuple<torch::Tensor, torch::Tensor> ParseCuboidParams(\n    torch::Tensor cuboid_params) {\n  // Input: cuboid_params - Cx6\n  // Output: (b, T), b - Cx3, T - Cx3\n  return std::make_tuple(cuboid_params.index({Slice(), Slice(0, 3)}),\n                         cuboid_params.index({Slice(), Slice(3, 6)}));\n}\n\ntorch::Tensor ComputeCuboidsSDF(torch::Tensor anchors,\n                                torch::Tensor cuboid_params) {\n  // Inputs: anchors - Nx3, cuboid_params - Cx6\n  // Output: sdf - NxC\n  auto cuboid_params_bT = ParseCuboidParams(cuboid_params);\n  auto b = std::get<0>(cuboid_params_bT);\n  auto T = std::get<1>(cuboid_params_bT);  // Cx3\n  auto p = anchors.unsqueeze(1);           // Nx1x3\n\n  p = p - T;             // NxCx3\n  auto d = p.abs() - b;  // NxCx3\n\n  auto length = torch::sqrt(\n      torch::sum(torch::maximum(d, torch::zeros_like(d)).square(), -1) +\n      1e-6f);                           // NxC\n  auto max_d = std::get<0>(d.max(-1));  // NxC\n\n  auto sdf = length + torch::minimum(max_d, torch::zeros_like(max_d));  // NxC\n  return sdf;\n}\n\ntorch::Tensor ComputeUnionOfCuboidsSDF(torch::Tensor anchors,\n                                       torch::Tensor cuboid_params) {\n  // Inputs: anchors - Nx3, cuboid_params - Cx6\n  // Output: sdf - N\n  auto sdf = ComputeCuboidsSDF(anchors, cuboid_params);  // NxC\n  sdf = std::get<0>(sdf.min(-1));                        // N\n  return sdf;\n}\n\ntorch::Tensor SolveOrthogonalProcrust(torch::Tensor M) {\n  // Input: M - Bx3x3\n  // Output: argmax_R Tr(RM) - Bx3x3\n\n  // TODO: cuSolver SVD instead.\n  auto svd_result = torch::svd(M);\n  // auto svd_result = geomlib::BatchSVDTorch(M);\n  auto U = std::get<0>(svd_result);  // Bx3x3\n  auto V = std::get<2>(svd_result);  // Bx3x3\n  auto det = torch::det(torch::matmul(U, V.transpose(1, 2)));\n  auto V_alt = torch::cat({V.index({Slice(), Slice(), Slice(None, 2)}),\n                           -1 * V.index({Slice(), Slice(), 2}).unsqueeze(2)},\n                          2);\n  V = torch::where((det < 0).unsqueeze(1).unsqueeze(2).repeat({1, 3, 3}), V_alt,\n                   V);                           // Bx3x3\n  auto R = torch::matmul(U, V.transpose(1, 2));  // Bx3x3\n  return R;\n}\n\ntorch::Tensor SolveShrinkage(torch::Tensor b, torch::Tensor k) {\n  // Inputs: b - BxD, k - B\n  return torch::maximum(torch::zeros_like(b), b - k.unsqueeze(1) / 2) +\n         torch::minimum(torch::zeros_like(b), b + k.unsqueeze(1) / 2);\n}\n\nArray3D<int> TensorToArray3DInt(torch::Tensor tensor) {\n  assert(!tensor.is_cuda());\n  assert(tensor.dim() == 3);\n  assert(tensor.dtype() == torch::kInt32);\n\n  Array3D<int> result(tensor.size(0), tensor.size(1), tensor.size(2));\n  auto tensor_cont = tensor.contiguous();\n  std::memcpy(result.GetDataPtr(), tensor_cont.data_ptr<int>(),\n              tensor.size(0) * tensor.size(1) * tensor.size(2) * sizeof(int));\n  return result;\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/optim/torch_utils.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\n#include <torch/torch.h>\n\n#include \"models/MultiDimArray.h\"\n\nnamespace hex {\ntorch::Tensor VectorXfToTensor(const Eigen::VectorXf& vec);\ntorch::Tensor VectorXiToTensor(const Eigen::VectorXi& vec);\n\ntorch::Tensor MatrixXfToTensor(const Eigen::MatrixXf& mat);\ntorch::Tensor MatrixXiToTensor(const Eigen::MatrixXi& mat);\nEigen::MatrixXf TensorToMatrixXf(const torch::Tensor& tensor);\nEigen::VectorXf TensorToVectorXf(const torch::Tensor& tensor);\nEigen::VectorXi TensorToVectorXi(const torch::Tensor& tensor);\n\nArray3D<int> TensorToArray3DInt(torch::Tensor tensor);\n\nstd::tuple<torch::Tensor, torch::Tensor> ParseCuboidParams(\n    torch::Tensor cuboid_params);\n\ntorch::Tensor ComputeCuboidsSDF(torch::Tensor anchors,\n                                torch::Tensor cuboid_params);\n\ntorch::Tensor ComputeUnionOfCuboidsSDF(torch::Tensor anchors,\n                                       torch::Tensor cuboid_params);\n\ntorch::Tensor SolveOrthogonalProcrust(torch::Tensor M);\ntorch::Tensor SolveShrinkage(torch::Tensor b, torch::Tensor k);\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/serialization/Serializer.cpp",
    "content": "#include <fstream>\n\n#include \"H5Cpp.h\"\n#include \"Serializer.h\"\n#include \"logging.h\"\n\nusing namespace H5;\n\nnamespace hex {\nnamespace {\nconst int kHexMeditOrder[8] = {1, 5, 7, 3, 0, 4, 6, 2};\nconst std::vector<std::string> kFloatKeys = {\"input_scale\"};\nconst std::vector<std::string> kMatrixXfKeys = {\"input_center\"};\nvoid CreateMatrixXfDataset(H5::Group& group, const std::string& name,\n                           const Eigen::MatrixXf& matrix) {\n  hsize_t dims[2];\n  dims[0] = matrix.cols();  // Matrix is column-major\n  dims[1] = matrix.rows();\n\n  DataSpace dataspace{2, dims};\n\n  DataSet dataset{group.createDataSet(name, PredType::IEEE_F32BE, dataspace)};\n  dataset.write(matrix.data(), PredType::NATIVE_FLOAT);\n}\n\nEigen::MatrixXf LoadMatrixXfFromDataset(const DataSet& dataset) {\n  DataSpace space = dataset.getSpace();\n  hsize_t dims[2];\n  space.getSimpleExtentDims(dims);\n\n  Eigen::MatrixXf matrix{dims[1], dims[0]};\n  dataset.read(matrix.data(), PredType::NATIVE_FLOAT);\n  return matrix;\n}\n\nvoid CreateMatrixXiDataset(H5::Group& group, const std::string& name,\n                           const Eigen::MatrixXi& matrix) {\n  hsize_t dims[2];\n  dims[0] = matrix.cols();  // Matrix is column-major\n  dims[1] = matrix.rows();\n\n  DataSpace dataspace{2, dims};\n\n  DataSet dataset{group.createDataSet(name, PredType::STD_I32BE, dataspace)};\n  dataset.write(matrix.data(), PredType::NATIVE_INT32);\n}\n\nEigen::MatrixXi LoadMatrixXiFromDataset(const DataSet& dataset) {\n  DataSpace space = dataset.getSpace();\n  hsize_t dims[2];\n  space.getSimpleExtentDims(dims);\n\n  Eigen::MatrixXi matrix{dims[1], dims[0]};\n  dataset.read(matrix.data(), PredType::NATIVE_INT32);\n  return matrix;\n}\n\nvoid CreateArrayIntDataset(H5::Group& group, const std::string& name,\n                           const std::vector<int>& array) {\n  hsize_t dims[1];\n  dims[0] = array.size();\n\n  DataSpace dataspace{1, dims};\n\n  DataSet dataset{group.createDataSet(name, PredType::STD_I32BE, dataspace)};\n  dataset.write(array.data(), PredType::NATIVE_INT32);\n}\n\nstd::vector<int> LoadArrayIntFromDataset(const DataSet& dataset) {\n  DataSpace space = dataset.getSpace();\n  hsize_t dims[1];\n  space.getSimpleExtentDims(dims);\n\n  std::vector<int> array(dims[0]);\n  dataset.read(array.data(), PredType::NATIVE_INT32);\n  return array;\n}\n\nvoid CreateFixedLengthStringArrayDataset(H5::Group& group,\n                                         const std::string& name,\n                                         const std::vector<const char*>& arr,\n                                         int buf_size) {\n  std::vector<char> char_buf_2d(arr.size() * buf_size);\n  for (int i = 0; i < static_cast<int>(arr.size()); i++) {\n    std::memcpy(char_buf_2d.data() + i * buf_size, arr[i],\n                buf_size * sizeof(char));\n  }\n\n  hsize_t dims[2];\n  dims[0] = arr.size();\n  dims[1] = buf_size;\n\n  DataSpace dataspace{2, dims};\n  DataSet dataset{group.createDataSet(name, PredType::STD_U8BE, dataspace)};\n  dataset.write(char_buf_2d.data(), PredType::NATIVE_CHAR);\n}\n\nstd::vector<std::string> LoadFixedLengthStringArrayDataset(\n    const DataSet& dataset) {\n  DataSpace space = dataset.getSpace();\n  hsize_t dims[2];\n  space.getSimpleExtentDims(dims);\n\n  std::vector<char> array(dims[0] * dims[1]);\n  dataset.read(array.data(), PredType::NATIVE_CHAR);\n\n  std::vector<std::string> result;\n  for (int i = 0; i < dims[0]; i++) {\n    // Assuming the char arrays are null-terminated.\n    result.push_back(array.data() + i * dims[1]);\n  }\n\n  return result;\n}\n\ntemplate <class IntType>\nvoid CreateNestedArrayIntDataset(\n    H5::Group& group, const std::string& name,\n    const std::vector<std::vector<IntType>>& arrays, int special_value = -1) {\n  std::vector<int> array_concat;\n  for (auto& arr : arrays) {\n    for (auto i : arr) {\n      array_concat.push_back(static_cast<int>(i));\n    }\n    array_concat.push_back(special_value);\n  }\n  CreateArrayIntDataset(group, name, array_concat);\n}\n\ntemplate <class IntType>\nstd::vector<std::vector<IntType>> LoadNestedArrayIntFromDataset(\n    const DataSet& dataset, int special_value = -1) {\n  auto array_concat = LoadArrayIntFromDataset(dataset);\n\n  std::vector<std::vector<IntType>> batches;\n  std::vector<IntType> batch;\n  for (auto i : array_concat) {\n    if (i == special_value) {\n      batches.push_back(batch);\n      batch.clear();\n    } else {\n      batch.push_back(static_cast<IntType>(i));\n    }\n  }\n  return batches;\n}\n\nvoid CreateTetrahedralMeshGroup(H5::Group& group, const TetrahedralMesh& mesh) {\n  CreateMatrixXfDataset(group, \"vertices\", mesh.GetVertices());\n  CreateMatrixXiDataset(group, \"tets\", mesh.GetTets());\n  if (mesh.HasAnchors()) {\n    CreateMatrixXfDataset(group, \"anchors\", mesh.GetAnchors());\n  }\n  if (mesh.HasDistanceField()) {\n    CreateMatrixXfDataset(group, \"sdf\", mesh.GetDistanceField());\n  }\n}\n\nstd::unique_ptr<TetrahedralMesh> LoadTetrahedralMeshFromGroup(\n    const H5::Group& group) {\n  auto vertices = LoadMatrixXfFromDataset(group.openDataSet(\"vertices\"));\n  auto tets = LoadMatrixXiFromDataset(group.openDataSet(\"tets\"));\n  auto mesh = std::make_unique<TetrahedralMesh>(vertices, tets);\n  if (group.nameExists(\"anchors\")) {\n    mesh->SetAnchors(LoadMatrixXfFromDataset(group.openDataSet(\"anchors\")));\n  }\n  if (group.nameExists(\"sdf\")) {\n    mesh->SetDistanceField(LoadMatrixXfFromDataset(group.openDataSet(\"sdf\")));\n  }\n\n  return mesh;\n}\n\nvoid CreateHexahedralMeshGroup(H5::Group& group, const HexahedralMesh& mesh) {\n  CreateMatrixXfDataset(group, \"vertices\",\n                        ArrayVector3fToMatrixXf(mesh.GetVertices()));\n  CreateNestedArrayIntDataset(group, \"hexes\", mesh.GetHexes());\n}\n\nstd::unique_ptr<HexahedralMesh> LoadHexahedralMeshFromGroup(\n    const H5::Group& group) {\n  auto vertices = LoadMatrixXfFromDataset(group.openDataSet(\"vertices\"));\n  auto hexes =\n      LoadNestedArrayIntFromDataset<size_t>(group.openDataSet(\"hexes\"));\n  auto mesh = std::make_unique<HexahedralMesh>(\n      MatrixXfToArrayVector3f(vertices), hexes);\n  return mesh;\n}\n\nvoid CreatePolycubeGroup(H5::Group& group, const Polycube& polycube) {\n  CreateMatrixXfDataset(group, \"params\", polycube.ToMatrix());\n}\n\nstd::unique_ptr<Polycube> LoadPolycubeFromGroup(const H5::Group& group) {\n  Eigen::MatrixXf params = LoadMatrixXfFromDataset(group.openDataSet(\"params\"));\n  return std::make_unique<Polycube>(params);\n}\n\nvoid CreatePolycubeInfoGroup(H5::Group& group, const PolycubeInfo& info) {\n  CreateArrayIntDataset(group, \"ordering\", info.ordering);\n  CreateArrayIntDataset(group, \"locked\", info.locked);\n\n  std::vector<const char*> names;\n  for (int i = 0; i < static_cast<int>(info.names.size()); i++) {\n    names.push_back(&info.names[i].buf[0]);\n  }\n  CreateFixedLengthStringArrayDataset(group, \"names\", names, kMaxNameLength);\n}\n\nstd::unique_ptr<PolycubeInfo> LoadPolycubeInfoFromGroup(\n    const H5::Group& group) {\n  auto polycube_info = std::make_unique<PolycubeInfo>();\n  polycube_info->ordering =\n      LoadArrayIntFromDataset(group.openDataSet(\"ordering\"));\n  polycube_info->locked = LoadArrayIntFromDataset(group.openDataSet(\"locked\"));\n  std::vector<std::string> names =\n      LoadFixedLengthStringArrayDataset(group.openDataSet(\"names\"));\n  for (auto& name : names) {\n    FixedLengthStr str;\n    std::memcpy(str.buf, name.data(), name.size() * sizeof(char));\n    assert(name.size() <= kMaxNameLength);\n    str.buf[name.size()] = '\\0';\n    polycube_info->names.push_back(str);\n  }\n\n  return polycube_info;\n}\n\nvoid CreateHexComplexGroup(H5::Group& group, const HexComplex& hex_complex) {\n  CreateMatrixXfDataset(group, \"vertices\",\n                        ArrayVector3fToMatrixXf(hex_complex.GetVertices()));\n  CreateMatrixXiDataset(group, \"quads\",\n                        ArrayVector4iToMatrixXi(hex_complex.GetQuads()));\n\n  CreateNestedArrayIntDataset(group, \"patches\", hex_complex.GetPatches());\n  CreateNestedArrayIntDataset(group, \"hexes\", hex_complex.GetHexes());\n}\n\nstd::unique_ptr<HexComplex> LoadHexComplexFromGroup(const H5::Group& group) {\n  auto vertices = LoadMatrixXfFromDataset(group.openDataSet(\"vertices\"));\n  auto quads = LoadMatrixXiFromDataset(group.openDataSet(\"quads\"));\n  auto patches =\n      LoadNestedArrayIntFromDataset<size_t>(group.openDataSet(\"patches\"));\n  auto hexes =\n      LoadNestedArrayIntFromDataset<size_t>(group.openDataSet(\"hexes\"));\n\n  return std::make_unique<HexComplex>(MatrixXfToArrayVector3f(vertices),\n                                      MatrixXiToArrayVector4i(quads), patches,\n                                      hexes);\n}\n}  // namespace\n\nvoid Serializer::SaveState(const GlobalState& state,\n                           const std::string& file_path) {\n  H5File file(file_path, H5F_ACC_TRUNC);\n  if (state.HasTargetVolumeMesh()) {\n    Group group(file.createGroup(\"/target_volume_mesh\"));\n    CreateTetrahedralMeshGroup(group, state.GetTargetVolumeMesh());\n  }\n  if (state.HasDeformedVolumeMesh()) {\n    Group group(file.createGroup(\"/deformed_volume_mesh\"));\n    CreateTetrahedralMeshGroup(group, state.GetDeformedVolumeMesh());\n  }\n  if (state.HasPolycube()) {\n    Group group(file.createGroup(\"/polycube\"));\n    CreatePolycubeGroup(group, state.GetPolycube());\n  }\n  if (state.HasPolycubeInfo()) {\n    Group group(file.createGroup(\"/polycube_info\"));\n    CreatePolycubeInfoGroup(group, state.GetPolycubeInfo());\n  }\n  if (state.HasPolycubeComplex()) {\n    Group group(file.createGroup(\"/polycube_complex\"));\n    CreateHexComplexGroup(group, state.GetPolycubeComplex());\n  }\n  if (state.HasTargetComplex()) {\n    Group group(file.createGroup(\"/target_complex\"));\n    CreateHexComplexGroup(group, state.GetTargetComplex());\n  }\n  if (state.HasResultMesh()) {\n    Group group(file.createGroup(\"/result_mesh\"));\n    CreateHexahedralMeshGroup(group, state.GetResultMesh());\n  }\n\n  // Write scalars and small matrices as attributes to the root file.\n  auto& float_dict = state.GetFloatDict();\n  for (auto& kv : float_dict) {\n    auto att = file.createAttribute(kv.first, PredType::IEEE_F32BE,\n                                    DataSpace(H5S_SCALAR));\n    att.write(PredType::NATIVE_FLOAT, &kv.second);\n  }\n\n  auto& matrix_xf_dict = state.GetMatrixXfDict();\n  for (auto& kv : matrix_xf_dict) {\n    auto& mat = kv.second;\n    hsize_t dims[2];\n    dims[0] = mat.cols();\n    dims[1] = mat.rows();\n\n    DataSpace dataspace{2, dims};\n    auto att = file.createAttribute(kv.first, PredType::IEEE_F32BE, dataspace);\n    att.write(PredType::NATIVE_FLOAT, mat.data());\n  }\n}\n\nstd::unique_ptr<GlobalState> Serializer::LoadState(\n    const std::string& file_path) {\n  H5File file(file_path, H5F_ACC_RDONLY);\n\n  std::unique_ptr<GlobalState> state = std::make_unique<GlobalState>();\n\n  if (file.nameExists(\"/target_volume_mesh\")) {\n    state->SetTargetVolumeMesh(\n        LoadTetrahedralMeshFromGroup(file.openGroup(\"/target_volume_mesh\")));\n  }\n  if (file.nameExists(\"/deformed_volume_mesh\")) {\n    state->SetDeformedVolumeMesh(\n        LoadTetrahedralMeshFromGroup(file.openGroup(\"/deformed_volume_mesh\")));\n  }\n  if (file.nameExists(\"/polycube\")) {\n    state->SetPolycube(LoadPolycubeFromGroup(file.openGroup(\"/polycube\")));\n  }\n  if (file.nameExists(\"/polycube_info\")) {\n    state->SetPolycubeInfo(\n        LoadPolycubeInfoFromGroup(file.openGroup(\"/polycube_info\")));\n  }\n  if (file.nameExists(\"/polycube_complex\")) {\n    state->SetPolycubeComplex(\n        LoadHexComplexFromGroup(file.openGroup(\"/polycube_complex\")));\n  }\n  if (file.nameExists(\"/target_complex\")) {\n    state->SetTargetComplex(\n        LoadHexComplexFromGroup(file.openGroup(\"/target_complex\")));\n  }\n  if (file.nameExists(\"/result_mesh\")) {\n    state->SetResultMesh(\n        LoadHexahedralMeshFromGroup(file.openGroup(\"/result_mesh\")));\n  }\n\n  // Load attributes.\n  for (auto& key : kFloatKeys) {\n    if (file.attrExists(key)) {\n      auto att = file.openAttribute(key);\n      float f;\n      att.read(PredType::NATIVE_FLOAT, &f);\n      state->SetFloat(key, f);\n      LOGI(\"Load float {}: {}\", key, f);\n    }\n  }\n\n  for (auto& key : kMatrixXfKeys) {\n    if (file.attrExists(key)) {\n      auto att = file.openAttribute(key);\n\n      DataSpace space = att.getSpace();\n      hsize_t dims[2];\n      space.getSimpleExtentDims(dims);\n\n      Eigen::MatrixXf matrix{dims[1], dims[0]};\n      att.read(PredType::NATIVE_FLOAT, matrix.data());\n      state->SetMatrixXf(key, matrix);\n\n      LOGI(\"Load matrix {}: ({}, {}, {})\", key, matrix(0), matrix(1),\n           matrix(2));\n    }\n  }\n  return state;\n}\n\nEigen::MatrixXf Serializer::LoadSingleMatrixXf(const std::string& file_path,\n                                               const std::string& name) {\n  H5File file(file_path, H5F_ACC_RDONLY);\n  Eigen::MatrixXf result;\n  if (file.nameExists(name)) {\n    result = LoadMatrixXfFromDataset(file.openDataSet(name));\n  } else {\n    LOGW(\"Dataset {} does not exist in {}!\", name, file_path);\n  }\n  return result;\n}\n\nvoid Serializer::SaveHexMesh(const HexahedralMesh& mesh,\n                             const std::string& file_path,\n                             std::function<Vector3f(Vector3f)> vertex_map) {\n  std::ofstream ofs(file_path);\n  ofs << \"MeshVersionFormatted 1\\nDimension 3\\n\";\n  auto& vertices = mesh.GetVertices();\n  ofs << fmt::format(\"Vertices {}\\n\", vertices.size());\n  for (int i = 0; i < static_cast<int>(vertices.size()); i++) {\n    auto v = vertex_map(vertices[i]);\n    ofs << fmt::format(\"{:6f} {:6f} {:6f} 0\\n\", v(0), v(1), v(2));\n  }\n  auto& hexes = mesh.GetHexes();\n  ofs << fmt::format(\"Hexahedra {}\\n\", hexes.size());\n  for (int i = 0; i < static_cast<int>(hexes.size()); i++) {\n    std::stringstream ss;\n    for (int k = 0; k < 8; k++) {\n      ss << hexes[i][kHexMeditOrder[k]] + 1;  // plus 1 since index starts at 1\n      if (k < 7) {\n        ss << ' ';\n      }\n    }\n    ofs << ss.str() << \" 0\\n\";\n  }\n  ofs << \"End\\n\";\n}\n\nstd::unique_ptr<HexahedralMesh> Serializer::LoadHexMesh(\n    const std::string& file_path) {\n  int inv_order[8];\n  for (int k = 0; k < 8; k++) {\n    inv_order[kHexMeditOrder[k]] = k;\n  }\n\n  std::fstream fs(file_path);\n  if (!fs) {\n    throw std::runtime_error(\n        fmt::format(\"ERROR: unable to open MEDIT MESH file {}\", file_path));\n  }\n\n  std::vector<Vector3f> vertices;\n  std::vector<HexahedralMesh::Hex> hexes;\n\n  std::string line;\n  while (std::getline(fs, line))\n    if (!line.empty()) {\n      std::stringstream ss(line);\n      std::string command;\n      ss >> command;\n      if (command == \"MeshVersionFormatted\" || command == \"Dimension\" ||\n          command == \"End\") {\n        continue;\n      } else if (command == \"Vertices\") {\n        int n;\n        ss >> n;\n        vertices.resize(n);\n        for (int i = 0; i < n; i++) {\n          Vector3f p;\n          float tmp;\n          fs >> p.x() >> p.y() >> p.z() >> tmp;\n          vertices[i] = p;\n        }\n      } else if (command == \"Hexahedra\") {\n        int n;\n        ss >> n;\n        hexes.resize(n);\n        for (int i = 0; i < n; i++) {\n          HexahedralMesh::Hex hex(8);\n          int tmp;\n          for (int k = 0; k < 8; k++) {\n            int a;\n            fs >> a;\n            a--;\n            hex[kHexMeditOrder[k]] = a;\n          }\n          fs >> tmp;\n          hexes[i] = hex;\n        }\n      }\n    }\n  LOGI(\"Loaded {} vertices and {} hexes\", vertices.size(), hexes.size());\n  return std::make_unique<HexahedralMesh>(vertices, hexes);\n}\n\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/serialization/Serializer.h",
    "content": "#pragma once\n\n#include \"models/GlobalState.h\"\n\nnamespace hex {\nclass Serializer {\n public:\n  static void SaveState(const GlobalState& state, const std::string& file_path);\n\n  static std::unique_ptr<GlobalState> LoadState(const std::string& file_path);\n\n  static Eigen::MatrixXf LoadSingleMatrixXf(const std::string& file_path,\n                                            const std::string& name);\n\n  static void SaveHexMesh(\n      const HexahedralMesh& mesh, const std::string& file_path,\n      std::function<Vector3f(Vector3f)> vertex_map = [](Vector3f v) {\n        return v;\n      });\n  static std::unique_ptr<HexahedralMesh> LoadHexMesh(\n      const std::string& file_path);\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/utility/ImGuiEx.cpp",
    "content": "#include \"ImGuiEx.h\"\n\n#include <imgui_internal.h>\n\n#include \"imgui.h\"\n\nnamespace ImGui {\nbool SelectableInput(const char* str_id, bool selected,\n                     ImGuiSelectableFlags flags, char* buf, size_t buf_size) {\n  ImGuiContext& g = *GImGui;\n  ImGuiWindow* window = g.CurrentWindow;\n  ImVec2 pos_before = window->DC.CursorPos;\n\n  PushID(str_id);\n  PushStyleVar(ImGuiStyleVar_ItemSpacing,\n               ImVec2(g.Style.ItemSpacing.x, g.Style.FramePadding.y * 2.0f));\n  bool ret = Selectable(\"##Selectable\", selected,\n                        flags | ImGuiSelectableFlags_AllowDoubleClick |\n                            ImGuiSelectableFlags_AllowItemOverlap);\n  PopStyleVar();\n\n  ImGuiID id = window->GetID(\"##Input\");\n  bool temp_input_is_active = TempInputIsActive(id);\n  bool temp_input_start = ret ? IsMouseDoubleClicked(0) : false;\n\n  if (temp_input_start) SetActiveID(id, window);\n\n  if (temp_input_is_active || temp_input_start) {\n    ImVec2 pos_after = window->DC.CursorPos;\n    window->DC.CursorPos = pos_before;\n    ret = TempInputText(window->DC.LastItemRect, id, \"##Input\", buf,\n                        (int)buf_size, ImGuiInputTextFlags_None);\n    window->DC.CursorPos = pos_after;\n  } else {\n    window->DrawList->AddText(pos_before, GetColorU32(ImGuiCol_Text), buf);\n  }\n\n  PopID();\n  return ret;\n}\n}  // namespace ImGui\n\nnamespace hex {\nnamespace {\nvoid DrawDistortionEnergyContent(DistortionOptions& options, bool show_amips) {\n  ImGui::SetNextItemWidth(80);\n  {\n    ImGuiFrameColorGuard frame_cg{1.0f / 7.0f};\n    ImGui::DragFloat(\"conformal\", &options.conformal_weight, 1e-3f, 0.0f, 1.0f,\n                     \"%.3f\");\n    ImGui::SameLine();\n    ImGuiHelpMarker(\"This measures how well the deformation preserves angles.\");\n  }\n  ImGui::SameLine();\n  ImGui::SetNextItemWidth(80);\n  {\n    ImGuiFrameColorGuard frame_cg{2.0f / 7.0f};\n    ImGui::DragFloat(\"authalic\", &options.authalic_weight, 1e-3f, 0.0f, 1.0f,\n                     \"%.3f\");\n    ImGui::SameLine();\n    ImGuiHelpMarker(\n        \"This measures how well the deformation preserves volumes.\");\n  }\n\n  ImGui::SetNextItemWidth(120);\n\n  static bool is_logarithm = true;\n  {\n    ImGuiFrameColorGuard frame_cg{0.0f / 7.0f};\n    ImGui::DragFloat(\n        \"eps\", &options.regularizer_eps, 3e-4f, 1e-6f, 1.0f, \"%.6f\",\n        is_logarithm ? ImGuiSliderFlags_Logarithmic : ImGuiSliderFlags_None);\n  }\n  ImGui::SameLine();\n  ImGuiHelpMarker(\n      \"This is the regularization constant. It is recommended to start with \"\n      \"a \"\n      \"bigger value and gradually decrease it to a smaller value after the \"\n      \"optimization reaches a stable state.\");\n\n  ImGui::SameLine();\n  ImGui::Checkbox(\"log-scale\", &is_logarithm);\n  ImGui::SameLine();\n  ImGuiHelpMarker(\n      \"Determines whether dragging eps will change its value in log scale \"\n      \"(recommended) or not.\");\n\n  if (show_amips) {\n    ImGui::Checkbox(\"exponential scaling\", &options.amips);\n    ImGui::SameLine();\n    ImGuiHelpMarker(\n        \"Determines whether exponential scaling will be used to penalize worst \"\n        \"elements more. Note: this may not be stable if the mesh quality is \"\n        \"too bad to start with.\");\n  }\n}\n}  // namespace\n\nImGuiFrameColorGuard::ImGuiFrameColorGuard(float H) {\n  ImGui::PushStyleColor(ImGuiCol_FrameBg, (ImVec4)ImColor::HSV(H, 0.5f, 0.5f));\n  ImGui::PushStyleColor(ImGuiCol_FrameBgHovered,\n                        (ImVec4)ImColor::HSV(H, 0.6f, 0.5f));\n  ImGui::PushStyleColor(ImGuiCol_FrameBgActive,\n                        (ImVec4)ImColor::HSV(H, 0.7f, 0.5f));\n  ImGui::PushStyleColor(ImGuiCol_SliderGrab,\n                        (ImVec4)ImColor::HSV(H, 0.8f, 0.3f));\n  ImGui::PushStyleColor(ImGuiCol_SliderGrabActive,\n                        (ImVec4)ImColor::HSV(H, 0.9f, 0.3f));\n}\n\nImGuiFrameColorGuard::~ImGuiFrameColorGuard() { ImGui::PopStyleColor(5); }\n\nImGuiButtonColorGuard::ImGuiButtonColorGuard(float H) {\n  ImGui::PushStyleColor(ImGuiCol_Button, (ImVec4)ImColor::HSV(H, 0.5f, 0.5f));\n  ImGui::PushStyleColor(ImGuiCol_ButtonHovered,\n                        (ImVec4)ImColor::HSV(H, 0.6f, 0.5f));\n  ImGui::PushStyleColor(ImGuiCol_ButtonActive,\n                        (ImVec4)ImColor::HSV(H, 0.7f, 0.5f));\n}\n\nImGuiButtonColorGuard::~ImGuiButtonColorGuard() { ImGui::PopStyleColor(3); }\n\nvoid ImGuiHoveredTooltip(const char* desc) {\n  if (ImGui::IsItemHovered()) {\n    ImGui::BeginTooltip();\n    ImGui::PushTextWrapPos(ImGui::GetFontSize() * 25.0f);\n    ImGui::TextUnformatted(desc);\n    ImGui::PopTextWrapPos();\n    ImGui::EndTooltip();\n  }\n}\n\nvoid ImGuiHelpMarker(const char* desc) {\n  ImGui::TextDisabled(\"(?)\");\n  ImGuiHoveredTooltip(desc);\n}\n\nvoid ImGuiTreeNodeWithTooltip(const char* label, ImGuiTreeNodeFlags flags,\n                              const char* desc, std::function<void()> closure) {\n  if (ImGui::TreeNodeEx(label, flags)) {\n    ImGuiHoveredTooltip(desc);\n    closure();\n    ImGui::TreePop();\n  } else {\n    ImGuiHoveredTooltip(desc);\n  }\n}\n\nvoid DrawDistortionEnergyChildWindow(DistortionOptions& options,\n                                     bool show_amips, bool default_open) {\n  ImGuiTreeNodeWithTooltip(\n      \"Distortion energy parameters\",\n      default_open ? ImGuiTreeNodeFlags_DefaultOpen : ImGuiTreeNodeFlags_None,\n      \"These parameters control how much distortion (angle-preserving and \"\n      \"volume-preserving) is allowed in the deformation. Together they can \"\n      \"create foldover-free volumetric maps.\",\n      [&] { DrawDistortionEnergyContent(options, show_amips); });\n}\n\nvoid DrawOptimizerOptionsNode(float& learning_rate, Vector2f& adam_betas,\n                              int* snapshot_freq, bool default_open) {\n  ImGuiTreeNodeWithTooltip(\n      \"Optimizer options\",\n      default_open ? ImGuiTreeNodeFlags_DefaultOpen : ImGuiTreeNodeFlags_None,\n      \"Options for Adam optimizer.\", [&] {\n        ImGui::SetNextItemWidth(60);\n        {\n          ImGuiFrameColorGuard frame_cg{2.5f / 7.0f};\n          ImGui::DragFloat(\"learning rate\", &learning_rate, 1e-3f, 0.0f, 1.0f,\n                           \"%.4f\", ImGuiSliderFlags_Logarithmic);\n        }\n        ImGui::SameLine();\n        ImGuiHelpMarker(\n            \"Learning rate of the Adam optimizer. A smaller value will result \"\n            \"in smaller update steps being taken.\");\n\n        ImGui::SameLine();\n        ImGui::SetNextItemWidth(100);\n        {\n          ImGuiFrameColorGuard frame_cg{2.0f / 7.0f};\n          ImGui::DragFloat2(\"betas\", adam_betas.data(), 1e-3f, 0.0f, 1.0f,\n                            \"%.3f\");\n        }\n        ImGui::SameLine();\n        ImGuiHelpMarker(\"Betas of Adam optimizer.\");\n\n        if (snapshot_freq != nullptr) {\n          ImGui::SetNextItemWidth(100);\n          if (ImGui::InputInt(\"snapshot frequency\", snapshot_freq)) {\n            if (*snapshot_freq < 0) {\n              *snapshot_freq = 0;\n            }\n          }\n          ImGui::SameLine();\n          ImGuiHelpMarker(\n              \"How often do we fetch result from the optimizer to visualize \"\n              \"intermediate steps?\");\n        }\n      });\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/utility/ImGuiEx.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\n#include <imgui.h>\n\n#include \"optim/DistortionEnergy.h\"\n\nnamespace ImGui {\nbool SelectableInput(const char* str_id, bool selected,\n                     ImGuiSelectableFlags flags, char* buf, size_t buf_size);\n}\n\nnamespace hex {\nstruct ImGuiFrameColorGuard {\n  ImGuiFrameColorGuard(float H);\n  ~ImGuiFrameColorGuard();\n};\nstruct ImGuiButtonColorGuard {\n  ImGuiButtonColorGuard(float H);\n  ~ImGuiButtonColorGuard();\n};\n\nvoid ImGuiHelpMarker(const char* desc);\nvoid ImGuiHoveredTooltip(const char* desc);\nvoid ImGuiTreeNodeWithTooltip(const char* label, ImGuiTreeNodeFlags flags,\n                              const char* desc, std::function<void()> closure);\n\nvoid DrawDistortionEnergyChildWindow(DistortionOptions& options,\n                                     bool show_amips, bool default_open = true);\nvoid DrawOptimizerOptionsNode(float& learning_rate, Vector2f& adam_betas,\n                              int* snapshot_freq = nullptr,\n                              bool default_open = false);\n\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/utility/PathManager.cpp",
    "content": "#include \"PathManager.h\"\n\n#include <filesystem>\n\n#include \"logging.h\"\n\nnamespace fs = std::filesystem;\n\nnamespace hex {\nPathManager& PathManager::GetInstance() {\n  static PathManager instance;\n  return instance;\n}\n\nPathManager::PathManager() {\n  workspace_path_ = fs::current_path();\n  LOGI(\"workspace path: {}\", workspace_path_.string());\n  import_path_ = IMPORT_PATH;\n}\n\nvoid PathManager::SetWorkspacePath(const std::string& workspace_path) {\n  GetInstance().workspace_path_ = workspace_path;\n}\n\nfs::path PathManager::GetWorkspacePath() {\n  return GetInstance().workspace_path_;\n}\n\nfs::path PathManager::GetImportPath() { return GetInstance().import_path_; }\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/utility/PathManager.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\n#include <filesystem>\n\nnamespace hex {\nclass PathManager {\n public:\n  PathManager(PathManager&) = delete;\n  PathManager& operator=(const PathManager&) = delete;\n  static void SetWorkspacePath(const std::string& workspace_path);\n  static std::filesystem::path GetWorkspacePath();\n  static std::filesystem::path GetImportPath();\n\n private:\n  PathManager();\n  static PathManager& GetInstance();\n  std::filesystem::path workspace_path_;\n  std::filesystem::path import_path_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/utility/StopWatch.cpp",
    "content": "#include \"StopWatch.h\"\n\nnamespace hex {\n\nvoid StopWatch::Tic() { start_time_ = Clock::now(); }\n\nstd::chrono::duration<double> StopWatch::Toc() {\n  return Clock::now() - start_time_;\n}\n\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/utility/StopWatch.h",
    "content": "#pragma once\n\n#include <chrono>\n\nnamespace hex {\nclass StopWatch {\n public:\n  using Clock = std::chrono::steady_clock;\n\n  void Tic();\n  std::chrono::duration<double> Toc();\n\n private:\n  std::chrono::time_point<Clock> start_time_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/utility/imfilebrowser.h",
    "content": "// https://github.com/AirGuanZ/imgui-filebrowser\n\n#pragma once\n\n#include <algorithm>\n#include <array>\n#include <cstring>\n#include <filesystem>\n#include <memory>\n#include <set>\n#include <string>\n#include <vector>\n\n#ifndef IMGUI_VERSION\n#   error \"include imgui.h before this header\"\n#endif\n\nusing ImGuiFileBrowserFlags = int;\n\nenum ImGuiFileBrowserFlags_\n{\n    ImGuiFileBrowserFlags_SelectDirectory   = 1 << 0, // select directory instead of regular file\n    ImGuiFileBrowserFlags_EnterNewFilename  = 1 << 1, // allow user to enter new filename when selecting regular file\n    ImGuiFileBrowserFlags_NoModal           = 1 << 2, // file browsing window is modal by default. specify this to use a popup window\n    ImGuiFileBrowserFlags_NoTitleBar        = 1 << 3, // hide window title bar\n    ImGuiFileBrowserFlags_NoStatusBar       = 1 << 4, // hide status bar at the bottom of browsing window\n    ImGuiFileBrowserFlags_CloseOnEsc        = 1 << 5, // close file browser when pressing 'ESC'\n    ImGuiFileBrowserFlags_CreateNewDir      = 1 << 6, // allow user to create new directory\n    ImGuiFileBrowserFlags_MultipleSelection = 1 << 7, // allow user to select multiple files. this will hide ImGuiFileBrowserFlags_EnterNewFilename\n};\n\nnamespace ImGui\n{\n    class FileBrowser\n    {\n    public:\n\n        // pwd is set to current working directory by default\n        explicit FileBrowser(ImGuiFileBrowserFlags flags = 0);\n\n        FileBrowser(const FileBrowser &copyFrom);\n\n        FileBrowser &operator=(const FileBrowser &copyFrom);\n\n        // set the window size (in pixels)\n        // default is (700, 450)\n        void SetWindowSize(int width, int height) noexcept;\n\n        // set the window title text\n        void SetTitle(std::string title);\n\n        // open the browsing window\n        void Open();\n\n        // close the browsing window\n        void Close();\n\n        // the browsing window is opened or not\n        bool IsOpened() const noexcept;\n\n        // display the browsing window if opened\n        void Display();\n\n        // returns true when there is a selected filename and the \"ok\" button was clicked\n        bool HasSelected() const noexcept;\n\n        // set current browsing directory\n        bool SetPwd(const std::filesystem::path &pwd =\n                                    std::filesystem::current_path());\n\n        // get current browsing directory\n        const std::filesystem::path &GetPwd() const noexcept;\n\n        // returns selected filename. make sense only when HasSelected returns true\n        // when ImGuiFileBrowserFlags_MultipleSelection is enabled, only one of\n        // selected filename will be returned\n        std::filesystem::path GetSelected() const;\n\n        // returns all selected filenames.\n        // when ImGuiFileBrowserFlags_MultipleSelection is enabled, use this\n        // instead of GetSelected\n        std::vector<std::filesystem::path> GetMultiSelected() const;\n\n        // set selected filename to empty\n        void ClearSelected();\n\n        // (optional) set file type filters. eg. { \".h\", \".cpp\", \".hpp\" }\n        // \".*\" matches any file types\n        void SetTypeFilters(const std::vector<std::string> &typeFilters);\n\n        // set currently applied type filter\n        // default value is 0 (the first type filter)\n        void SetCurrentTypeFilterIndex(int index);\n\n        void SetInputBuf(const std::string& str);\n\n       private:\n    \n        template <class Functor>\n        struct ScopeGuard\n        {\n            ScopeGuard(Functor&& t) : func(std::move(t)) { }\n\n            ~ScopeGuard()\n            {\n                func();\n            }\n\n        private:\n\n            Functor func;\n        };\n\n        static std::string ToLower(const std::string &s);\n\n        void SetPwdUncatched(const std::filesystem::path &pwd);\n\n        bool IsExtensionMatched(const std::filesystem::path &extension) const;\n\n#ifdef _WIN32\n        static std::uint32_t GetDrivesBitMask();\n#endif\n\n        // for c++17 compatibility\n\n#if defined(__cpp_lib_char8_t)\n        static std::string u8StrToStr(std::u8string s);\n#endif\n        static std::string u8StrToStr(std::string s);\n\n        int width_;\n        int height_;\n        ImGuiFileBrowserFlags flags_;\n\n        std::string title_;\n        std::string openLabel_;\n\n        bool openFlag_;\n        bool closeFlag_;\n        bool isOpened_;\n        bool ok_;\n\n        std::string statusStr_;\n\n        std::vector<std::string> typeFilters_;\n        int typeFilterIndex_;\n        bool hasAllFilter_;\n\n        std::filesystem::path pwd_;\n        std::set<std::filesystem::path> selectedFilenames_;\n\n        struct FileRecord\n        {\n            bool isDir = false;\n            std::filesystem::path name;\n            std::string showName;\n            std::filesystem::path extension;\n        };\n        std::vector<FileRecord> fileRecords_;\n\n        // IMPROVE: truncate when selectedFilename_.length() > inputNameBuf_.size() - 1\n        static constexpr size_t INPUT_NAME_BUF_SIZE = 512;\n        std::unique_ptr<std::array<char, INPUT_NAME_BUF_SIZE>> inputNameBuf_;\n\n        std::string openNewDirLabel_;\n        std::unique_ptr<std::array<char, INPUT_NAME_BUF_SIZE>> newDirNameBuf_;\n\n#ifdef _WIN32\n        uint32_t drives_;\n#endif\n    };\n} // namespace ImGui\n\ninline ImGui::FileBrowser::FileBrowser(ImGuiFileBrowserFlags flags)\n    : width_(700), height_(450), flags_(flags),\n      openFlag_(false), closeFlag_(false), isOpened_(false), ok_(false),\n      inputNameBuf_(std::make_unique<std::array<char, INPUT_NAME_BUF_SIZE>>())\n{\n    if(flags_ & ImGuiFileBrowserFlags_CreateNewDir)\n        newDirNameBuf_ = std::make_unique<\n                                std::array<char, INPUT_NAME_BUF_SIZE>>();\n\n    inputNameBuf_->front() = '\\0';\n    inputNameBuf_->back() = '\\0';\n    SetTitle(\"file browser\");\n    SetPwd(std::filesystem::current_path());\n\n    typeFilters_.clear();\n    typeFilterIndex_ = 0;\n    hasAllFilter_ = false;\n\n#ifdef _WIN32\n    drives_ = GetDrivesBitMask();\n#endif\n}\n\ninline ImGui::FileBrowser::FileBrowser(const FileBrowser &copyFrom)\n    : FileBrowser()\n{\n    *this = copyFrom;\n}\n\ninline ImGui::FileBrowser &ImGui::FileBrowser::operator=(\n    const FileBrowser &copyFrom)\n{\n    width_  = copyFrom.width_;\n    height_ = copyFrom.height_;\n\n    flags_ = copyFrom.flags_;\n    SetTitle(copyFrom.title_);\n\n    openFlag_  = copyFrom.openFlag_;\n    closeFlag_ = copyFrom.closeFlag_;\n    isOpened_  = copyFrom.isOpened_;\n    ok_        = copyFrom.ok_;\n    \n    statusStr_ = \"\";\n\n    typeFilters_     = copyFrom.typeFilters_;\n    typeFilterIndex_ = copyFrom.typeFilterIndex_;\n    hasAllFilter_    = copyFrom.hasAllFilter_;\n\n    pwd_               = copyFrom.pwd_;\n    selectedFilenames_ = copyFrom.selectedFilenames_;\n\n    fileRecords_ = copyFrom.fileRecords_;\n\n    *inputNameBuf_ = *copyFrom.inputNameBuf_;\n\n    if(flags_ & ImGuiFileBrowserFlags_CreateNewDir)\n    {\n        newDirNameBuf_ = std::make_unique<\n                                std::array<char, INPUT_NAME_BUF_SIZE>>();\n        *newDirNameBuf_ = *copyFrom.newDirNameBuf_;\n    }\n\n    return *this;\n}\n\ninline void ImGui::FileBrowser::SetWindowSize(int width, int height) noexcept\n{\n    assert(width > 0 && height > 0);\n    width_  = width;\n    height_ = height;\n}\n\ninline void ImGui::FileBrowser::SetTitle(std::string title)\n{\n    title_ = std::move(title);\n    openLabel_ = title_ + \"##filebrowser_\" +\n                 std::to_string(reinterpret_cast<size_t>(this));\n    openNewDirLabel_ = \"new dir##new_dir_\" +\n                       std::to_string(reinterpret_cast<size_t>(this));\n}\n\ninline void ImGui::FileBrowser::Open()\n{\n    ClearSelected();\n    statusStr_ = std::string();\n    openFlag_ = true;\n    closeFlag_ = false;\n}\n\ninline void ImGui::FileBrowser::Close()\n{\n    ClearSelected();\n    statusStr_ = std::string();\n    closeFlag_ = true;\n    openFlag_ = false;\n}\n\ninline bool ImGui::FileBrowser::IsOpened() const noexcept\n{\n    return isOpened_;\n}\n\ninline void ImGui::FileBrowser::Display()\n{\n    PushID(this);\n    ScopeGuard exitThis([this]\n    {\n        openFlag_ = false;\n        closeFlag_ = false;\n        PopID();\n    });\n\n    if(openFlag_)\n        OpenPopup(openLabel_.c_str());\n    isOpened_ = false;\n\n    // open the popup window\n\n    if(openFlag_ && (flags_ & ImGuiFileBrowserFlags_NoModal))\n    {\n        SetNextWindowSize(\n            ImVec2(static_cast<float>(width_), static_cast<float>(height_)));\n    }\n    else\n    {\n        SetNextWindowSize(\n            ImVec2(static_cast<float>(width_), static_cast<float>(height_)),\n            ImGuiCond_FirstUseEver);\n    }\n    if(flags_ & ImGuiFileBrowserFlags_NoModal)\n    {\n        if(!BeginPopup(openLabel_.c_str()))\n            return;\n    }\n    else if(!BeginPopupModal(openLabel_.c_str(), nullptr,\n                             flags_ & ImGuiFileBrowserFlags_NoTitleBar ?\n                                ImGuiWindowFlags_NoTitleBar : 0))\n    {\n        return;\n    }\n    isOpened_ = true;\n    ScopeGuard endPopup([] { EndPopup(); });\n\n    // display elements in pwd\n\n#ifdef _WIN32\n    char currentDrive = static_cast<char>(pwd_.c_str()[0]);\n    char driveStr[] = { currentDrive, ':', '\\0' };\n\n    PushItemWidth(4 * GetFontSize());\n    if(BeginCombo(\"##select_drive\", driveStr))\n    {\n        ScopeGuard guard([&] { EndCombo(); });\n        for(int i = 0; i < 26; ++i)\n        {\n            if(!(drives_ & (1 << i)))\n                continue;\n            char driveCh = static_cast<char>('A' + i);\n            char selectableStr[] = { driveCh, ':', '\\0' };\n            bool selected = currentDrive == driveCh;\n            if(Selectable(selectableStr, selected) && !selected)\n            {\n                char newPwd[] = { driveCh, ':', '\\\\', '\\0' };\n                SetPwd(newPwd);\n            }\n        }\n    }\n    PopItemWidth();\n\n    SameLine();\n#endif\n\n    int secIdx = 0, newPwdLastSecIdx = -1;\n    for(auto &sec : pwd_)\n    {\n#ifdef _WIN32\n        if(secIdx == 1)\n        {\n            ++secIdx;\n            continue;\n        }\n#endif\n        PushID(secIdx);\n        if(secIdx > 0)\n            SameLine();\n        if(SmallButton(u8StrToStr(sec.u8string()).c_str()))\n            newPwdLastSecIdx = secIdx;\n        PopID();\n        ++secIdx;\n    }\n\n    if(newPwdLastSecIdx >= 0)\n    {\n        int i = 0;\n        std::filesystem::path newPwd;\n        for(auto &sec : pwd_)\n        {\n            if(i++ > newPwdLastSecIdx)\n                break;\n            newPwd /= sec;\n        }\n#ifdef _WIN32\n        if(newPwdLastSecIdx == 0)\n            newPwd /= \"\\\\\";\n#endif\n        SetPwd(newPwd);\n    }\n\n    SameLine();\n\n    if(SmallButton(\"*\"))\n        SetPwd(pwd_);\n\n    if(newDirNameBuf_)\n    {\n        SameLine();\n        if(SmallButton(\"+\"))\n        {\n            OpenPopup(openNewDirLabel_.c_str());\n            (*newDirNameBuf_)[0] = '\\0';\n        }\n\n        if(BeginPopup(openNewDirLabel_.c_str()))\n        {\n            ScopeGuard endNewDirPopup([] { EndPopup(); });\n\n            InputText(\"name\", newDirNameBuf_->data(), newDirNameBuf_->size());\n            SameLine();\n\n            if(Button(\"ok\") && (*newDirNameBuf_)[0] != '\\0')\n            {\n                ScopeGuard closeNewDirPopup([] { CloseCurrentPopup(); });\n                if(create_directory(pwd_ / newDirNameBuf_->data()))\n                    SetPwd(pwd_);\n                else\n                {\n                    statusStr_ = \"failed to create \" +\n                                 std::string(newDirNameBuf_->data());\n                }\n            }\n        }\n    }\n\n    // browse files in a child window\n\n    float reserveHeight = GetFrameHeightWithSpacing();\n    std::filesystem::path newPwd; bool setNewPwd = false;\n    if(!(flags_ & ImGuiFileBrowserFlags_SelectDirectory) &&\n       (flags_ & ImGuiFileBrowserFlags_EnterNewFilename))\n        reserveHeight += GetFrameHeightWithSpacing();\n    {\n        BeginChild(\"ch\", ImVec2(0, -reserveHeight), true,\n            (flags_ & ImGuiFileBrowserFlags_NoModal) ?\n                ImGuiWindowFlags_AlwaysHorizontalScrollbar : 0);\n        ScopeGuard endChild([] { EndChild(); });\n\n        for(auto &rsc : fileRecords_)\n        {\n            if(!rsc.isDir && !IsExtensionMatched(rsc.extension))\n                continue;\n\n            if(!rsc.name.empty() && rsc.name.c_str()[0] == '$')\n                continue;\n\n            bool selected = selectedFilenames_.find(rsc.name)\n                         != selectedFilenames_.end();\n\n            if(Selectable(rsc.showName.c_str(), selected,\n                          ImGuiSelectableFlags_DontClosePopups))\n            {\n                const bool multiSelect =\n                    (flags_ & ImGuiFileBrowserFlags_MultipleSelection) &&\n                    IsWindowFocused(ImGuiFocusedFlags_RootAndChildWindows) &&\n                    (GetIO().KeyCtrl || GetIO().KeyShift);\n\n                if(selected)\n                {\n                    if(!multiSelect)\n                        selectedFilenames_.clear();\n                    else\n                        selectedFilenames_.erase(rsc.name);\n\n                    (*inputNameBuf_)[0] = '\\0';\n                }\n                else if(rsc.name != \"..\")\n                {\n                    if((rsc.isDir && (flags_ & ImGuiFileBrowserFlags_SelectDirectory)) ||\n                       (!rsc.isDir && !(flags_ & ImGuiFileBrowserFlags_SelectDirectory)))\n                    {\n                        if(!multiSelect)\n                            selectedFilenames_.clear();\n                        selectedFilenames_.insert(rsc.name);\n                        if(!(flags_ & ImGuiFileBrowserFlags_SelectDirectory))\n                        {\n#ifdef _MSC_VER\n                            strcpy_s(\n                                inputNameBuf_->data(), inputNameBuf_->size(),\n                                u8StrToStr(rsc.name.u8string()).c_str());\n#else\n                            std::strncpy(inputNameBuf_->data(),\n                                         u8StrToStr(rsc.name.u8string()).c_str(),\n                                         inputNameBuf_->size() - 1);\n#endif\n                        }\n                    }\n                }\n                else\n                {\n                    if(!multiSelect)\n                        selectedFilenames_.clear();\n                }\n            }\n\n            ImGuiIO& io = ImGui::GetIO();\n            if (IsItemClicked(0) && (IsMouseDoubleClicked(0) || io.KeyShift)) {\n              if (rsc.isDir) {\n                setNewPwd = true;\n                newPwd =\n                    (rsc.name != \"..\") ? (pwd_ / rsc.name) : pwd_.parent_path();\n              } else if (!(flags_ & ImGuiFileBrowserFlags_SelectDirectory)) {\n                selectedFilenames_ = {rsc.name};\n                ok_ = true;\n                CloseCurrentPopup();\n              }\n            }\n        }\n    }\n\n    if(setNewPwd)\n        SetPwd(newPwd);\n\n    if(!(flags_ & ImGuiFileBrowserFlags_SelectDirectory) &&\n       (flags_ & ImGuiFileBrowserFlags_EnterNewFilename))\n    {\n        PushID(this);\n        ScopeGuard popTextID([] { PopID(); });\n\n        PushItemWidth(-1);\n        if(InputText(\"\", inputNameBuf_->data(), inputNameBuf_->size()) &&\n           inputNameBuf_->at(0) != '\\0')\n        {\n            selectedFilenames_ = { inputNameBuf_->data() };\n        }\n        PopItemWidth();\n    }\n\n    if(!(flags_ & ImGuiFileBrowserFlags_SelectDirectory))\n    {\n        if(Button(\" ok \") && !selectedFilenames_.empty())\n        {\n            ok_ = true;\n            CloseCurrentPopup();\n        }\n    }\n    else\n    {\n        if(Button(\" ok \"))\n        {\n            ok_ = true;\n            CloseCurrentPopup();\n        }\n    }\n\n    SameLine();\n\n    int escIdx = GetIO().KeyMap[ImGuiKey_Escape];\n    if(Button(\"cancel\") || closeFlag_ ||\n        ((flags_ & ImGuiFileBrowserFlags_CloseOnEsc) &&\n         IsWindowFocused(ImGuiFocusedFlags_RootAndChildWindows) &&\n         escIdx >= 0 && IsKeyPressed(escIdx)))\n        CloseCurrentPopup();\n\n    if(!statusStr_.empty() && !(flags_ & ImGuiFileBrowserFlags_NoStatusBar))\n    {\n        SameLine();\n        Text(\"%s\", statusStr_.c_str());\n    }\n\n    if(!typeFilters_.empty())\n    {\n        SameLine();\n        PushItemWidth(8 * GetFontSize());\n        if(BeginCombo(\n            \"##type_filters\", typeFilters_[typeFilterIndex_].c_str()))\n        {\n            ScopeGuard guard([&] { EndCombo(); });\n\n            for(size_t i = 0; i < typeFilters_.size(); ++i)\n            {\n                bool selected = static_cast<int>(i) == typeFilterIndex_;\n                if(Selectable(typeFilters_[i].c_str(), selected) && !selected)\n                    typeFilterIndex_ = static_cast<int>(i);\n            }\n        }\n        PopItemWidth();\n    }\n}\n\ninline bool ImGui::FileBrowser::HasSelected() const noexcept\n{\n    return ok_;\n}\n\ninline bool ImGui::FileBrowser::SetPwd(const std::filesystem::path &pwd)\n{\n    try\n    {\n        SetPwdUncatched(pwd);\n        return true;\n    }\n    catch(const std::exception &err)\n    {\n        statusStr_ = std::string(\"last error: \") + err.what();\n    }\n    catch(...)\n    {\n        statusStr_ = \"last error: unknown\";\n    }\n\n    SetPwdUncatched(std::filesystem::current_path());\n    return false;\n}\n\ninline const class std::filesystem::path &ImGui::FileBrowser::GetPwd() const noexcept\n{\n    return pwd_;\n}\n\ninline std::filesystem::path ImGui::FileBrowser::GetSelected() const\n{\n    // when ok_ is true, selectedFilenames_ may be empty if SelectDirectory\n    // is enabled. return pwd in that case.\n    if(selectedFilenames_.empty())\n        return pwd_;\n    return pwd_ / *selectedFilenames_.begin();\n}\n\ninline std::vector<std::filesystem::path>\n    ImGui::FileBrowser::GetMultiSelected() const\n{\n    if(selectedFilenames_.empty())\n        return { pwd_ };\n    std::vector<std::filesystem::path> ret;\n    ret.reserve(selectedFilenames_.size());\n    for(auto &s : selectedFilenames_)\n        ret.push_back(pwd_ / s);\n    return ret;\n}\n\ninline void ImGui::FileBrowser::ClearSelected()\n{\n    selectedFilenames_.clear();\n    (*inputNameBuf_)[0] = '\\0';\n    ok_ = false;\n}\n\ninline void ImGui::FileBrowser::SetTypeFilters(\n    const std::vector<std::string> &_typeFilters)\n{\n    typeFilters_.clear();\n\n    // remove duplicate filter names due to case unsensitivity on windows\n\n#ifdef _WIN32\n\n    std::vector<std::string> typeFilters;\n    for(auto &rawFilter : _typeFilters)\n    {\n        std::string lowerFilter = ToLower(rawFilter);\n        if(std::find(typeFilters.begin(), typeFilters.end(), lowerFilter) ==\n           typeFilters.end())\n            typeFilters.push_back(std::move(lowerFilter));\n    }\n\n#else\n\n    auto &typeFilters = _typeFilters;\n\n#endif\n\n    // insert auto-generated filter\n\n    if(typeFilters.size() > 1)\n    {\n        hasAllFilter_  = true;\n        std::string allFiltersName = std::string();\n        for(size_t i = 0; i < typeFilters.size(); ++i)\n        {\n            if(typeFilters[i] == std::string_view(\".*\"))\n            {\n                hasAllFilter_ = false;\n                break;\n            }\n\n            if(i > 0)\n                allFiltersName += \",\";\n            allFiltersName += typeFilters[i];\n        }\n\n        if(hasAllFilter_)\n            typeFilters_.push_back(std::move(allFiltersName));\n    }\n\n    std::copy(\n        typeFilters.begin(), typeFilters.end(),\n        std::back_inserter(typeFilters_));\n\n    typeFilterIndex_ = 0;\n}\n\ninline void ImGui::FileBrowser::SetCurrentTypeFilterIndex(int index)\n{\n    typeFilterIndex_ = index;\n}\n\ninline std::string ImGui::FileBrowser::ToLower(const std::string &s)\n{\n    std::string ret = s;\n    for(char &c : ret)\n        c = static_cast<char>(std::tolower(c));\n    return ret;\n}\n\ninline void ImGui::FileBrowser::SetPwdUncatched(const std::filesystem::path &pwd)\n{\n    fileRecords_ = { FileRecord{ true, \"..\", \"[D] ..\", \"\" } };\n\n    for(auto &p : std::filesystem::directory_iterator(pwd))\n    {\n        FileRecord rcd;\n\n        if(p.is_regular_file())\n            rcd.isDir = false;\n        else if(p.is_directory())\n            rcd.isDir = true;\n        else\n            continue;\n\n        rcd.name = p.path().filename();\n        if(rcd.name.empty())\n            continue;\n\n        rcd.extension = p.path().filename().extension();\n\n        rcd.showName = (rcd.isDir ? \"[D] \" : \"[F] \") +\n                       u8StrToStr(p.path().filename().u8string());\n        fileRecords_.push_back(rcd);\n    }\n\n    std::sort(fileRecords_.begin(), fileRecords_.end(),\n        [](const FileRecord &L, const FileRecord &R)\n    {\n        return (L.isDir ^ R.isDir) ? L.isDir : (L.name < R.name);\n    });\n\n    pwd_ = absolute(pwd);\n    selectedFilenames_.clear();\n    (*inputNameBuf_)[0] = '\\0';\n}\n\ninline void ImGui::FileBrowser::SetInputBuf(const std::string& str) {\n  strncpy(inputNameBuf_->data(), str.c_str(), inputNameBuf_->size());\n}\n\ninline bool ImGui::FileBrowser::IsExtensionMatched(\n    const std::filesystem::path &_extension) const\n{\n#ifdef _WIN32\n    std::filesystem::path extension = ToLower(_extension.string());\n#else\n    auto &extension = _extension;\n#endif\n\n    // no type filters\n    if(typeFilters_.empty())\n        return true;\n\n    // invalid type filter index\n    if(static_cast<size_t>(typeFilterIndex_) >= typeFilters_.size())\n        return true;\n\n    // all type filters\n    if(hasAllFilter_ && typeFilterIndex_ == 0)\n    {\n        for(size_t i = 1; i < typeFilters_.size(); ++i)\n        {\n            if(extension == typeFilters_[i])\n                return true;\n        }\n        return false;\n    }\n\n    // universal filter\n    if(typeFilters_[typeFilterIndex_] == std::string_view(\".*\"))\n        return true;\n\n    // regular filter\n    return extension == typeFilters_[typeFilterIndex_];\n}\n\n#if defined(__cpp_lib_char8_t)\ninline std::string ImGui::FileBrowser::u8StrToStr(std::u8string s)\n{\n    return std::string(s.begin(), s.end());\n}\n#endif\n\ninline std::string ImGui::FileBrowser::u8StrToStr(std::string s)\n{\n    return s;\n}\n\n#ifdef _WIN32\n\n#ifndef _INC_WINDOWS\n\n#ifndef WIN32_LEAN_AND_MEAN\n\n#define IMGUI_FILEBROWSER_UNDEF_WIN32_LEAN_AND_MEAN\n#define WIN32_LEAN_AND_MEAN\n\n#endif // #ifndef WIN32_LEAN_AND_MEAN\n\n#include <windows.h>\n\n#ifdef IMGUI_FILEBROWSER_UNDEF_WIN32_LEAN_AND_MEAN\n#undef IMGUI_FILEBROWSER_UNDEF_WIN32_LEAN_AND_MEAN\n#undef WIN32_LEAN_AND_MEAN\n#endif // #ifdef IMGUI_FILEBROWSER_UNDEF_WIN32_LEAN_AND_MEAN\n\n#endif // #ifdef _INC_WINDOWS\n\ninline std::uint32_t ImGui::FileBrowser::GetDrivesBitMask()\n{\n    DWORD mask = GetLogicalDrives();\n    uint32_t ret = 0;\n    for(int i = 0; i < 26; ++i)\n    {\n        if(!(mask & (1 << i)))\n            continue;\n        char rootName[4] = { static_cast<char>('A' + i), ':', '\\\\', '\\0' };\n        UINT type = GetDriveTypeA(rootName);\n        if(type == DRIVE_REMOVABLE || type == DRIVE_FIXED)\n            ret |= (1 << i);\n    }\n    return ret;\n}\n\n#endif\n"
  },
  {
    "path": "hex/src/views/CuboidNode.cpp",
    "content": "#include \"CuboidNode.h\"\n\n#include <vkoo/core/PrimitiveFactory.h>\n#include <vkoo/st/components/Mesh.h>\n#include <vkoo/st/components/Tracing.h>\n#include <vkoo/st/hittables/AABB.h>\n\n#include \"models/HexConvention.h\"\n\nnamespace hex {\nnamespace {\n// TODO: refactor this class to use dictionary.\nstd::shared_ptr<vkoo::VertexObject> cuboid_vertex_object_ = nullptr;\nstd::shared_ptr<vkoo::VertexObject> wireframe_vertex_object_ = nullptr;\nstd::unique_ptr<vkoo::st::Material> default_material_ = nullptr;\nstd::unique_ptr<vkoo::st::Material> focused_material_ = nullptr;\nstd::unique_ptr<vkoo::st::Material> locked_material_ = nullptr;\nstd::unique_ptr<vkoo::st::Material> subtract_material_ = nullptr;\nstd::unique_ptr<vkoo::st::Material> focused_wf_material_ = nullptr;\nstd::unique_ptr<vkoo::st::Material> normal_wf_material_ = nullptr;\n}  // namespace\n\nstd::shared_ptr<vkoo::VertexObject> CuboidNode::CreateWireframeVbo(\n    vkoo::Device& device) {\n  auto& corners = HexConvention::GetCorners();\n  auto& face_corners = HexConvention::GetFaceCornerIds();\n\n  std::vector<glm::vec3> positions;\n  std::vector<glm::vec3> normals;\n  std::vector<uint32_t> indices;\n\n  for (auto& f : face_corners) {\n    Vector3f v[4];\n    for (int k = 0; k < 4; k++) {\n      v[k] = 2.0f * corners[f[k]].cast<float>().array() - 1.0f;\n    }\n\n    Vector3f n = (v[1] - v[0]).cross(v[2] - v[0]).normalized();\n    for (size_t k = 0; k < 4; k++) {\n      positions.push_back(ToGlm(v[k]));\n      normals.push_back(ToGlm(n));\n    }\n    uint32_t j = static_cast<uint32_t>(positions.size() - 4);\n    indices.insert(indices.end(),\n                   {j, j + 1, j + 1, j + 2, j + 2, j + 3, j + 3, j});\n  }\n  auto vertex_object = std::make_shared<vkoo::VertexObject>(device);\n  vertex_object->Update(\"position\", positions);\n  vertex_object->Update(\"normal\", normals);\n  vertex_object->UpdateIndices(indices);\n  return vertex_object;\n}\n\nCuboidNode::CuboidNode(vkoo::Device& device) {\n  if (cuboid_vertex_object_ == nullptr) {\n    cuboid_vertex_object_ = vkoo::PrimitiveFactory::CreateCube(device);\n  }\n  if (wireframe_vertex_object_ == nullptr) {\n    wireframe_vertex_object_ = CreateWireframeVbo(device);\n  }\n  if (default_material_ == nullptr) {\n    default_material_ = std::make_unique<vkoo::st::Material>();\n    default_material_->colors[\"diffuse_color\"] =\n        glm::vec4{0.7f, 0.9f, 0.1f, 1.0f};\n  }\n  if (focused_material_ == nullptr) {\n    focused_material_ = std::make_unique<vkoo::st::Material>();\n    focused_material_->colors[\"diffuse_color\"] =\n        glm::vec4{1.0f, 0.4f, 0.7f, 1.0f};\n  }\n  if (locked_material_ == nullptr) {\n    locked_material_ = std::make_unique<vkoo::st::Material>();\n    locked_material_->colors[\"diffuse_color\"] =\n        glm::vec4{0.7f, 0.6f, 0.7f, 1.0f};\n  }\n  if (subtract_material_ == nullptr) {\n    subtract_material_ = std::make_unique<vkoo::st::Material>();\n    subtract_material_->colors[\"diffuse_color\"] =\n        glm::vec4{0.1f, 0.9f, 0.2f, 1.0f};\n  }\n  if (focused_wf_material_ == nullptr) {\n    focused_wf_material_ = std::make_unique<vkoo::st::Material>();\n    focused_wf_material_->colors[\"diffuse_color\"] =\n        glm::vec4{0.8f, 0.2f, 0.1f, 0.8f};\n  }\n  if (normal_wf_material_ == nullptr) {\n    normal_wf_material_ = std::make_unique<vkoo::st::Material>();\n    normal_wf_material_->colors[\"diffuse_color\"] =\n        glm::vec4{0.4f, 0.4f, 0.4f, 1.0f};\n  }\n\n  // A cuboid node puts the actual mesh on a child node.\n  auto mesh_child = std::make_unique<vkoo::st::Node>();\n  mesh_child_node_ = mesh_child.get();\n  AddChild(std::move(mesh_child));\n\n  auto wireframe_child = std::make_unique<vkoo::st::Node>();\n  wireframe_child_node_ = wireframe_child.get();\n  AddChild(std::move(wireframe_child));\n\n  mesh_child_node_->CreateComponent<vkoo::st::Mesh>(\n      cuboid_vertex_object_, cuboid_vertex_object_->GetIndexCount());\n  wireframe_child_node_->CreateComponent<vkoo::st::Mesh>(\n      wireframe_vertex_object_, wireframe_vertex_object_->GetIndexCount());\n  UpdateMode(mode_);\n\n  // Tracing component is attached at the cuboid node so that GlobalScript can\n  // locate it.\n  CreateComponent<vkoo::st::Tracing>(std::make_shared<vkoo::st::AABB>(\n      vkoo::st::AABB::FromCuboid(glm::vec3{0.0f}, glm::vec3{1.0f})));\n}\n\nvoid CuboidNode::UpdateView(const Cuboid& cuboid) {\n  GetTransform().SetPosition(ToGlm(cuboid.center));\n  mesh_child_node_->GetTransform().SetScale(ToGlm(cuboid.halflengths));\n  wireframe_child_node_->GetTransform().SetScale(ToGlm(cuboid.halflengths));\n  CreateComponent<vkoo::st::Tracing>(std::make_shared<vkoo::st::AABB>(\n      vkoo::st::AABB::FromCuboid(glm::vec3{0.0f}, ToGlm(cuboid.halflengths))));\n}\n\nvoid CuboidNode::UpdateMode(Mode mode) {\n  mode_ = mode;\n  auto mesh = mesh_child_node_->GetComponentPtr<vkoo::st::Mesh>();\n  auto wf_mesh = wireframe_child_node_->GetComponentPtr<vkoo::st::Mesh>();\n  if (mode_ == Mode::Free || mode_ == Mode::Locked) {\n    if (mode_ == Mode::Free) {\n      mesh->SetMaterial(*default_material_);\n    } else if (mode_ == Mode::Locked) {\n      mesh->SetMaterial(*locked_material_);\n    }\n    wf_mesh->SetMaterial(*normal_wf_material_);\n    wf_mesh->SetTransparent(false);\n  } else if (mode_ == Mode::Focused || mode_ == Mode::Subtract) {\n    if (mode_ == Mode::Focused) {\n      mesh->SetMaterial(*focused_material_);\n      wf_mesh->SetMaterial(*focused_wf_material_);\n    } else {\n      mesh->SetMaterial(*subtract_material_);\n      wf_mesh->SetMaterial(*subtract_material_);\n    }\n    wf_mesh->SetTransparent(true);\n    wf_mesh->SetAllowDepthTesting(false);\n  } else {\n    throw std::runtime_error(\"Unknown CuboidNode mode!\");\n  }\n  wf_mesh->SetPolygonMode(vkoo::st::PolygonMode::Line);\n  wf_mesh->SetPrimitiveTopology(vkoo::st::PrimitiveTopology::LineList);\n  wf_mesh->SetLineWidth(2.0f);\n}\n\nvoid CuboidNode::Cleanup() {\n  cuboid_vertex_object_ = nullptr;\n  wireframe_vertex_object_ = nullptr;\n  focused_material_ = nullptr;\n  default_material_ = nullptr;\n  locked_material_ = nullptr;\n  subtract_material_ = nullptr;\n  focused_wf_material_ = nullptr;\n  normal_wf_material_ = nullptr;\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/views/CuboidNode.h",
    "content": "#pragma once\n\n#include <vkoo/core/VertexObject.h>\n#include <vkoo/st/Material.h>\n#include <vkoo/st/Node.h>\n\n#include \"models/Cuboid.h\"\n\nnamespace hex {\nclass CuboidNode : public vkoo::st::Node {\n public:\n  enum class Mode { Free, Locked, Focused, Subtract };\n  CuboidNode(vkoo::Device& device);\n  void UpdateView(const Cuboid& cuboid);\n  void UpdateMode(Mode mode);\n\n  static void Cleanup();\n\n private:\n  std::shared_ptr<vkoo::VertexObject> CreateWireframeVbo(vkoo::Device& device);\n\n  vkoo::st::Node* mesh_child_node_;\n  vkoo::st::Node* wireframe_child_node_;\n  Mode mode_{Mode::Free};\n};\n\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/views/FilteredHexMesh.cpp",
    "content": "#include \"views/FilteredHexMesh.h\"\n\n#include <vkoo/core/VertexObject.h>\n#include <vkoo/st/components/Mesh.h>\n\n#include \"models/HexConvention.h\"\n#include \"models/PolycubeGraph.h\"\n\nnamespace hex {\nnamespace {\nconst float kEps = 1e-6f;\n}\n\nbool FilteringSetting::operator!=(const FilteringSetting& other) {\n  return std::abs(slice_dist - other.slice_dist) > kEps ||\n         std::abs(quality_cutoff - other.quality_cutoff) > kEps ||\n         (slice_normal - other.slice_normal).norm() > kEps ||\n         quality != other.quality;\n}\n\nFilteredHexMesh::FilteredHexMesh(const HexahedralMesh& hex_mesh)\n    : vertices_{hex_mesh.GetVertices()},\n      hexes_{hex_mesh.GetHexes()},\n      mesh_quality_{hex_mesh.GetMeshQuality()} {\n  ClearFilters();\n  auto result = ExtractFilteredSurfaceMesh();\n  for (auto& quad : result.quad_mesh->GetQuads()) {\n    Vector4i quad_on_hex;\n    for (int k = 0; k < 4; k++) {\n      quad_on_hex(k) = result.vtx_id_quad_to_hex[quad[k]];\n    }\n    boundary_quads_set_.insert(quad_on_hex);\n  }\n}\n\nvoid FilteredHexMesh::Filter(const FilteringSetting& setting) {\n  ClearFilters();\n  FilterByPlane(setting.slice_normal, setting.slice_dist);\n  FilterByQuality(setting.quality, setting.quality_cutoff);\n}\n\nvoid FilteredHexMesh::FilterByQuality(HexQualityType quality, float d) {\n  if (d >= 1.0f) {\n    return;\n  }\n  switch (quality) {\n    case HexQualityType::ScaledJacobian:\n      FilterByScaledJacobian(d);\n      break;\n    case HexQualityType::Jacobian:\n      FilterByJacobian(d);\n      break;\n  }\n}\n\nvoid FilteredHexMesh::ClearFilters() {\n  hex_visibilities_.assign(hexes_.size(), true);\n}\n\nvoid FilteredHexMesh::FilterByPlane(const Vector3f& normal, float d) {\n  if (d == 0.0f) {\n    return;\n  }\n  float min_d = std::numeric_limits<float>::max();\n  float max_d = std::numeric_limits<float>::min();\n\n  for (auto& v : vertices_) {\n    float dot = normal.dot(v);\n    min_d = std::min(min_d, dot);\n    max_d = std::max(max_d, dot);\n  }\n\n  float cutoff = min_d + (max_d - min_d) * std::clamp(d, 0.0f, 1.0f);\n\n  // #pragma omp parallel for\n  for (size_t i = 0; i < hexes_.size(); i++) {\n    Vector3f center{0.0f, 0.0f, 0.0f};\n    for (size_t k = 0; k < 8; k++) {\n      center += vertices_[hexes_[i][k]];\n    }\n    center /= 8;\n    hex_visibilities_[i] =\n        hex_visibilities_[i] & (normal.dot(center) >= cutoff);\n  }\n}\n\nvoid FilteredHexMesh::FilterByScaledJacobian(float d) {\n  auto& scaled_jacobians = mesh_quality_.GetScaledJacobians();\n  float cutoff = -1 + 2 * std::clamp(d, 0.0f, 1.0f);\n\n  /* #pragma omp parallel for */\n  for (int i = 0; i < (int)hexes_.size(); i++) {\n    hex_visibilities_[i] =\n        hex_visibilities_[i] & (scaled_jacobians(i) <= cutoff);\n  }\n}\n\nvoid FilteredHexMesh::FilterByJacobian(float d) {\n  auto& jacobians = mesh_quality_.GetJacobians();\n  float q_min = jacobians.minCoeff();\n  float q_max = jacobians.maxCoeff();\n  float cutoff = q_min + d * (q_max - q_min);\n\n  /* #pragma omp parallel for */\n  for (int i = 0; i < (int)hexes_.size(); i++) {\n    hex_visibilities_[i] = hex_visibilities_[i] & (jacobians(i) <= cutoff);\n  }\n}\n\nFilteredHexMesh::SurfaceExtractionResult\nFilteredHexMesh::ExtractFilteredSurfaceMesh(bool need_patches) const {\n  auto& kFaceCornerIds = HexConvention::GetFaceCornerIds();\n  // First collect all faces of visible hexes.\n  std::vector<Vector4i> all_faces;\n#pragma omp parallel for\n  for (int i = 0; i < (int)hexes_.size(); i++) {\n    if (hex_visibilities_[i]) {\n      auto& hex = hexes_[i];\n      for (size_t f = 0; f < 6; f++) {\n        std::vector<int> corner_ids;  // must use int over size_t here!\n        for (size_t k = 0; k < 4; k++) {\n          corner_ids.push_back(hex[kFaceCornerIds[f][k]]);\n        }\n        Vector4i corners_id_vec = Eigen::Map<Vector4i>(corner_ids.data());\n#pragma omp critical\n        all_faces.push_back(corners_id_vec);\n      }\n    }\n  }\n\n  // Quads in the interior must be met by exactly two hexes.\n  std::unordered_set<Vector4i, Vector4iHasher> face_loop_set(all_faces.begin(),\n                                                             all_faces.end());\n\n  std::unordered_map<size_t, size_t> vtx_id_hex_to_quad;\n  std::vector<size_t> vtx_id_quad_to_hex;\n  std::vector<Vector3f> surface_vertices;\n  std::vector<Vector4i> surface_quads;\n  std::vector<std::vector<size_t>> patches(2);\n// Loop over all faces once again.\n#pragma omp parallel for\n  for (int i = 0; i < (int)hexes_.size(); i++)\n    if (hex_visibilities_[i]) {\n      auto& hex = hexes_[i];\n      for (size_t f = 0; f < 6; f++) {\n        Vector4i vec;\n        for (size_t k = 0; k < 4; k++) {\n          vec(k) = hex[kFaceCornerIds[f][k]];\n        }\n\n        bool on_surface = true;\n        bool on_boundary = false;\n        for (size_t p = 0; p < 4; p++) {\n          // Opposing face's corner ids will be reversed.\n          Vector4i cycled_vec;\n          for (size_t k = 0; k < 4; k++) {\n            cycled_vec(k) = vec[(4 + p - k) % 4];\n          }\n          if (face_loop_set.count(cycled_vec)) {\n            on_surface = false;\n          }\n          if (boundary_quads_set_.count(vec)) {\n            on_boundary = true;\n          }\n        }\n\n        if (on_surface) {\n#pragma omp critical\n          {\n            Vector4i quad;\n            for (size_t k = 0; k < 4; k++) {\n              size_t v = static_cast<size_t>(vec[k]);\n              if (vtx_id_hex_to_quad.count(v) == 0) {\n                vtx_id_hex_to_quad[v] = vtx_id_quad_to_hex.size();\n                vtx_id_quad_to_hex.push_back(v);\n                surface_vertices.push_back(vertices_[v]);\n              }\n              quad[k] = vtx_id_hex_to_quad[v];\n            }\n            if (need_patches) {\n              patches[on_boundary ? 1 : 0].push_back(surface_quads.size());\n            }\n            surface_quads.push_back(quad);\n          }\n        }\n      }\n    }\n  return {std::make_unique<QuadrilateralMesh>(surface_vertices, surface_quads),\n          vtx_id_quad_to_hex, patches};\n}\n\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/views/FilteredHexMesh.h",
    "content": "#pragma once\n\n#include <vkoo/core/Device.h>\n#include <vkoo/st/Material.h>\n#include <vkoo/st/Node.h>\n\n#include \"models/HexahedralMesh.h\"\n#include \"models/QuadrilateralMesh.h\"\n\nnamespace hex {\nstruct FilteringSetting {\n  bool operator!=(const FilteringSetting& other);\n  float slice_dist{0.0f};\n  Vector3f slice_normal{0.0f, 1.0f, 0.0f};\n  HexQualityType quality{HexQualityType::ScaledJacobian};\n  float quality_cutoff{1.0f};  // show hexes <= this cutoff\n};\n\nclass FilteredHexMesh {\n public:\n  FilteredHexMesh(const HexahedralMesh& hex_mesh);\n\n  void Filter(const FilteringSetting& setting);\n\n  struct SurfaceExtractionResult {\n    std::unique_ptr<QuadrilateralMesh> quad_mesh;\n    // Correspondence will be needed in editing boundary vertices.\n    std::vector<size_t> vtx_id_quad_to_hex;\n    // Two patches: interior (=0) and boundary (=1) quads.\n    std::vector<std::vector<size_t>> patches;\n  };\n  SurfaceExtractionResult ExtractFilteredSurfaceMesh(\n      bool need_patches = false) const;\n\n private:\n  void ClearFilters();\n  void FilterByPlane(const Vector3f& normal, float d);\n  void FilterByQuality(HexQualityType quality, float d);\n  void FilterByScaledJacobian(float d);\n  void FilterByJacobian(float d);\n\n  const std::vector<Vector3f>& vertices_;\n  const std::vector<HexahedralMesh::Hex>& hexes_;\n  const HexMeshQuality& mesh_quality_;\n  std::vector<bool> hex_visibilities_;\n  std::unordered_set<Vector4i, Vector4iHasher> boundary_quads_set_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/views/GlobalView.cpp",
    "content": "#include \"GlobalView.h\"\n\n#include <glm/gtx/color_space.hpp>\n#include <imgui.h>\n#include <vkoo/st/components/Mesh.h>\n\n#include <limits>\n#include <stdexcept>\n\n#include \"logging.h\"\n#include \"models/HexConvention.h\"\n\nnamespace hex {\nnamespace {\nstd::string FlagToName(GlobalView::VisibilityFlag flag) {\n  if (flag == GlobalView::VisibilityInputMesh) {\n    return \"Input mesh\";\n  } else if (flag == GlobalView::VisibilityDeformedMesh) {\n    return \"Deformed mesh\";\n  } else if (flag == GlobalView::VisibilityDecomposition) {\n    return \"Cuboid decomposition\";\n  } else if (flag == GlobalView::VisibilityPolycubeComplex) {\n    return \"Polycube quad surface\";\n  } else if (flag == GlobalView::VisibilityResultFilteredMesh) {\n    return \"Result mesh (filtered)\";\n  } else if (flag == GlobalView::VisibilityAnchors) {\n    return \"Anchors\";\n  }\n\n  throw std::runtime_error(fmt::format(\"Unrecognized flag: {}\", flag));\n}\n\nconst std::vector<glm::vec3> kAlignedFaceHSVColors = {\n    glm::vec3{1.5f / 7.0f, 0.8f, 0.8f}, glm::vec3{2.5f / 7.0f, 0.8f, 0.8f},\n    glm::vec3{3.5f / 7.0f, 0.8f, 0.8f}, glm::vec3{4.5f / 7.0f, 0.8f, 0.8f},\n    glm::vec3{5.5f / 7.0f, 0.8f, 0.8f}, glm::vec3{6.5f / 7.0f, 0.8f, 0.8f}};\nconst std::vector<glm::vec4> kFilteredMeshColors = {\n    {252.f / 255.f, 169.f / 255.f, 3.f / 255.f, 1.0f},\n    {1.0f, 1.0f, 1.0f, 1.0f}};\n}  // namespace\n\nGlobalView::GlobalView(vkoo::Device& device, vkoo::st::Scene& scene)\n    : device_{device}, scene_{scene} {\n  CreateDefaultMaterials();\n  SetMeshOptions();\n  RegisterVisibilityInfos();\n}\n\nGlobalView::~GlobalView() {\n  // Cleanup child views first, which may remove nodes under wrappers.\n  // Otherwise double-delete might occur.\n  if (polycube_view_) {\n    polycube_view_->Cleanup();\n  }\n\n  // Next remove nodes from the scene.\n  for (auto& info : visibility_infos_) {\n    if (info.node != nullptr) {\n      info.node->RemoveFromParent();\n    }\n  }\n}\n\nvoid GlobalView::CreateDefaultMaterials() {\n  anchors_materials_[0].colors[\"diffuse_color\"] = {1.0f, 0.0f, 0.0f, 1.0f};\n  anchors_materials_[1].colors[\"diffuse_color\"] = {0.0f, 1.0f, 0.0f, 1.0f};\n}\n\nvoid GlobalView::SetMeshOptions() {\n  input_mesh_options_.transparent_color = {52.f / 255.f, 219.f / 255.f,\n                                           235.f / 255.f, 0.3f};\n  deformed_mesh_options_.transparent_color = {0.964f, 0.278f, 1.f, 0.5f};\n}\n\nvoid GlobalView::RegisterVisibilityInfos() {\n  visibility_infos_.push_back(\n      {VisibilityInputMesh, input_mesh_node_, visibility_.input_mesh});\n  visibility_infos_.push_back(\n      {VisibilityDeformedMesh, deformed_mesh_node_, visibility_.deformed_mesh});\n  visibility_infos_.push_back(\n      {VisibilityDecomposition, polycube_node_, visibility_.decomposition});\n  visibility_infos_.push_back({VisibilityPolycubeComplex,\n                               polycube_complex_node_,\n                               visibility_.polycube_complex});\n  visibility_infos_.push_back({VisibilityResultFilteredMesh,\n                               result_filtered_mesh_node_,\n                               visibility_.result_filtered_mesh});\n  visibility_infos_.push_back(\n      {VisibilityAnchors, anchors_node_, visibility_.anchors});\n}\n\nvoid GlobalView::UpdateAllViews(GlobalState& global_state) {\n  unsigned long visibility_mask = GetVisibility();\n\n  UpdateInputMeshView(global_state);\n  UpdateDeformedMeshView(global_state);\n  UpdateAnchorsView(global_state);\n  UpdatePolycubeView(global_state);\n  UpdatePolycubeComplexView(global_state);\n  UpdateFilteredHexView(global_state, FilteringSetting());\n\n  SetVisibility(visibility_mask);\n}\n\nvoid GlobalView::UpdateInputMeshView(GlobalState& global_state) {\n  if (input_mesh_node_ != nullptr) {\n    input_mesh_node_->RemoveFromParent();\n    input_mesh_node_ = nullptr;\n  }\n  if (global_state.HasTargetVolumeMesh()) {\n    input_mesh_view_ = std::make_unique<TriSurfaceView>(\n        device_, scene_.GetRoot(), input_mesh_options_);\n    input_mesh_view_->Update(\n        global_state.GetTargetVolumeMesh().GetSurfaceMesh());\n    input_mesh_node_ = input_mesh_view_->GetWrapperNode();\n  }\n}\n\nvoid GlobalView::UpdateDeformedMeshView(GlobalState& global_state) {\n  if (deformed_mesh_node_ != nullptr) {\n    deformed_mesh_node_->RemoveFromParent();\n    deformed_mesh_node_ = nullptr;\n  }\n  if (global_state.HasDeformedVolumeMesh()) {\n    deformed_mesh_view_ = std::make_unique<TriSurfaceView>(\n        device_, scene_.GetRoot(), deformed_mesh_options_);\n    deformed_mesh_view_->Update(\n        global_state.GetDeformedVolumeMesh().GetSurfaceMesh());\n    deformed_mesh_node_ = deformed_mesh_view_->GetWrapperNode();\n  }\n}\n\nvoid GlobalView::UpdateAnchorsView(GlobalState& global_state) {\n  if (anchors_node_ != nullptr) {\n    anchors_node_->RemoveFromParent();\n    anchors_node_ = nullptr;\n  }\n  if (global_state.HasDeformedVolumeMesh()) {\n    auto& deformed_mesh = global_state.GetDeformedVolumeMesh();\n    if (deformed_mesh.HasAnchors() && deformed_mesh.HasDistanceField()) {\n      auto vbos = deformed_mesh.CreateAnchorVBOs(device_);\n      auto node = std::make_unique<vkoo::st::Node>();\n      for (int i = 0; i < 2; i++) {\n        auto subnode = std::make_unique<vkoo::st::Node>();\n        auto& mesh_component = subnode->CreateComponent<vkoo::st::Mesh>(\n            vbos[i], vbos[i]->GetIndexCount());\n        mesh_component.SetMaterial(anchors_materials_[i]);\n        mesh_component.SetPrimitiveTopology(\n            vkoo::st::PrimitiveTopology::PointList);\n        node->AddChild(std::move(subnode));\n      }\n      anchors_node_ = node.get();\n      scene_.GetRoot().AddChild(std::move(node));\n    }\n  }\n}\n\nvoid GlobalView::UpdatePolycubeComplexView(const QuadComplex& quad_complex,\n                                           bool color_by_patch,\n                                           bool use_axis_color) {\n  CleanupPolycubeComplexView();\n  auto node = std::make_unique<vkoo::st::Node>();\n  polycube_complex_view_ = std::make_unique<QuadSurfaceView>(\n      device_, *node, QuadSurfaceView::Options());\n  if (color_by_patch) {\n    // Update patch colors to the newest.\n    patch_colors_ = std::make_unique<std::vector<glm::vec4>>(\n        CreatePolycubePatchColors(quad_complex, use_axis_color));\n    polycube_complex_view_->Update(quad_complex, *patch_colors_);\n  } else {\n    polycube_complex_view_->Update(*quad_complex.ExtractQuadMesh());\n  }\n  polycube_complex_node_ = node.get();\n  scene_.GetRoot().AddChild(std::move(node));\n}\n\nstd::vector<glm::vec4> GlobalView::CreatePolycubePatchColors(\n    const QuadComplex& quad_complex, bool use_axis_color) {\n  std::vector<glm::vec4> result;\n  auto& vertices = quad_complex.GetVertices();\n  auto& kFaceOffsets = HexConvention::GetFaceOffsets();\n  auto rand_eng = std::default_random_engine(42);\n  std::uniform_real_distribution<float> dis(0.0f, 1.0f);\n  for (size_t i = 0; i < quad_complex.GetPatches().size(); i++) {\n    glm::vec3 rgb_color;\n    if (use_axis_color) {\n      auto& patch = quad_complex.GetPatches()[i];\n      assert(!patch.empty());\n      auto& quad = quad_complex.GetQuads()[patch[0]];\n      Vector3f v[4];\n      for (int k = 0; k < 4; k++) {\n        v[k] = vertices[quad[k]];\n      }\n      auto n = (v[1] - v[0]).cross(v[2] - v[0]).normalized();\n      int closest = 0;\n      float closest_dot = std::numeric_limits<float>::min();\n      for (size_t j = 0; j < 6; j++) {\n        float tmp = kFaceOffsets[j].cast<float>().dot(n);\n        if (closest_dot < tmp) {\n          closest_dot = tmp;\n          closest = j;\n        }\n      }\n      auto hsv_color = kAlignedFaceHSVColors[closest];\n      ImGui::ColorConvertHSVtoRGB(hsv_color.x, hsv_color.y, hsv_color.z,\n                                  rgb_color.x, rgb_color.y, rgb_color.z);\n    } else {\n      rgb_color = glm::vec3{(float)dis(rand_eng), (float)dis(rand_eng),\n                            (float)dis(rand_eng)};\n    }\n    result.emplace_back(rgb_color.x, rgb_color.y, rgb_color.z, 1.0f);\n  }\n  return result;\n}\n\nvoid GlobalView::UpdatePolycubeComplexView(GlobalState& global_state) {\n  CleanupPolycubeComplexView();\n  if (global_state.HasPolycubeComplex()) {\n    UpdatePolycubeComplexView(\n        global_state.GetPolycubeComplex().GetQuadComplex(), true, false);\n  }\n}\n\nvoid GlobalView::CleanupPolycubeComplexView() {\n  if (polycube_complex_node_ != nullptr) {\n    polycube_complex_node_->RemoveFromParent();\n    polycube_complex_node_ = nullptr;\n  }\n}\n\nvoid GlobalView::DrawNodeVisibilityGui(bool shift_pressed) {\n  bool changed = false;\n  for (int i = 0; i < (int)visibility_infos_.size(); i++) {\n    auto& info = visibility_infos_[i];\n    if (info.node != nullptr) {\n      if (ImGui::Selectable(FlagToName(info.flag).c_str(), info.visibility)) {\n        if (!shift_pressed) {\n          ClearVisibility();\n        }\n        info.visibility ^= 1;\n        changed = true;\n      }\n      if (info.flag == VisibilityFlag::VisibilityInputMesh ||\n          info.flag == VisibilityFlag::VisibilityDeformedMesh) {\n        // Popups for tri surfaces.\n        if (ImGui::BeginPopupContextItem()) {\n          bool changed = false;\n          if (ImGui::RadioButton(\"solid\", !info.transparent)) {\n            info.transparent = false;\n            changed = true;\n          }\n          if (ImGui::RadioButton(\"transparent\", info.transparent)) {\n            info.transparent = true;\n            info.wireframe = false;\n            changed = true;\n          }\n\n          if (ImGui::Checkbox(\"wireframe\", &info.wireframe)) {\n            changed = true;\n          }\n          if (changed) {\n            UpdateMeshViewByInfo(info);\n          }\n          ImGui::EndPopup();\n        }\n      }\n    }\n  }\n\n  if (changed) {\n    UpdateVisibility();\n  }\n}\n\nvoid GlobalView::UpdateVisibility() {\n  for (auto& info : visibility_infos_) {\n    if (info.node != nullptr) {\n      info.node->SetVisible(info.visibility);\n    }\n  }\n}\n\nvoid GlobalView::SetVisibility(unsigned long flags) {\n  ClearVisibility();\n  for (auto& info : visibility_infos_) {\n    if (info.node != nullptr && (info.flag & flags)) {\n      info.visibility = true;\n    }\n  }\n  UpdateVisibility();\n}\n\nvoid GlobalView::AddVisibility(unsigned long flags) {\n  SetVisibility(GetVisibility() | flags);\n}\n\nvoid GlobalView::RemoveVisibility(unsigned long flags) {\n  SetVisibility(GetVisibility() & ~flags);\n}\n\nunsigned long GlobalView::GetVisibility() {\n  unsigned long mask = 0;\n  for (auto& info : visibility_infos_) {\n    if (info.node != nullptr && info.visibility) {\n      mask |= info.flag;\n    }\n  }\n  return mask;\n}\n\nvoid GlobalView::ClearVisibility() {\n  for (auto& info : visibility_infos_) {\n    if (info.node != nullptr) {\n      info.visibility = false;\n    }\n  }\n}\n\nPolycubeView& GlobalView::GetPolycubeView() {\n  assert(polycube_view_ != nullptr);\n  return *polycube_view_;\n}\n\nvoid GlobalView::UpdatePolycubeView(GlobalState& global_state) {\n  // This always recreates the entire polycube view.\n  if (polycube_node_ != nullptr) {\n    polycube_node_->RemoveFromParent();\n    polycube_node_ = nullptr;\n  }\n  if (global_state.HasPolycube()) {\n    assert(global_state.HasPolycubeInfo());\n    auto polycube_node = std::make_unique<vkoo::st::Node>();\n    polycube_node_ = polycube_node.get();\n    scene_.GetRoot().AddChild(std::move(polycube_node));\n    polycube_view_ = std::make_unique<PolycubeView>(device_, polycube_node_);\n    polycube_view_->Update(global_state.GetPolycube(),\n                           global_state.GetPolycubeInfo());\n  }\n}\n\nvoid GlobalView::UpdateFilteredHexView(\n    GlobalState& global_state, const FilteringSetting& filtering_setting) {\n  if (result_filtered_mesh_node_ != nullptr) {\n    result_filtered_mesh_node_->RemoveFromParent();\n    result_filtered_mesh_node_ = nullptr;\n  }\n\n  if (global_state.HasResultMesh()) {\n    // Note: FilteredHexMesh only stores const references of hex mesh so there\n    // is no expensive copy involved.\n    filtered_hex_mesh_ =\n        std::make_unique<FilteredHexMesh>(global_state.GetResultMesh());\n    filtered_hex_mesh_->Filter(filtering_setting);\n\n    result_filtered_view_ = std::make_unique<QuadSurfaceView>(\n        device_, scene_.GetRoot(), QuadSurfaceView::Options());\n    auto extract_result = filtered_hex_mesh_->ExtractFilteredSurfaceMesh(true);\n    auto& quad_mesh = *extract_result.quad_mesh;\n    QuadComplex quad_complex{quad_mesh.GetVertices(), quad_mesh.GetQuads(),\n                             extract_result.patches};\n    result_filtered_view_->Update(quad_complex, kFilteredMeshColors);\n    result_filtered_mesh_node_ = result_filtered_view_->GetWrapperNode();\n  }\n}\n\nvoid GlobalView::ChangeTriMeshAppearance(VisibilityFlag flag, bool transparent,\n                                         bool wireframe) {\n  auto& info = GetVisibilityInfo(flag);\n  info.transparent = transparent;\n  info.wireframe = wireframe;\n  UpdateMeshViewByInfo(info);\n}\n\nGlobalView::VisibilityInfo& GlobalView::GetVisibilityInfo(VisibilityFlag flag) {\n  for (auto& info : visibility_infos_) {\n    if (info.flag == flag) {\n      return info;\n    }\n  }\n  throw std::runtime_error(\n      fmt::format(\"Unidentifiable visibility flag: {}\", flag));\n}\n\nvoid GlobalView::UpdateMeshViewByInfo(const VisibilityInfo& info) {\n  TriSurfaceView* view;\n  if (info.flag == VisibilityFlag::VisibilityInputMesh) {\n    view = input_mesh_view_.get();\n  } else {\n    assert(info.flag == VisibilityFlag::VisibilityDeformedMesh);\n    view = deformed_mesh_view_.get();\n  }\n  view->SetWireframeVisible(info.wireframe);\n  view->SetTransparency(info.transparent);\n}\n\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/views/GlobalView.h",
    "content": "#pragma once\n\n#include <vkoo/core/Device.h>\n#include <vkoo/st/Material.h>\n#include <vkoo/st/Scene.h>\n#include <vkoo/st/components/Mesh.h>\n\n#include \"FilteredHexMesh.h\"\n#include \"PolycubeView.h\"\n#include \"QuadSurfaceView.h\"\n#include \"TriSurfaceView.h\"\n#include \"models/GlobalState.h\"\n\nnamespace hex {\nclass GlobalView {\n public:\n  enum VisibilityFlag : unsigned long {\n    VisibilityNone = 0x00,\n    VisibilityInputMesh = 0x01,\n    VisibilityDeformedMesh = 0x02,\n    VisibilityDecomposition = 0x04,\n    VisibilityPolycubeComplex = 0x08,\n    VisibilityResultFilteredMesh = 0x20,\n    VisibilityAnchors = 0x40,\n  };\n  GlobalView(vkoo::Device& device, vkoo::st::Scene& scene);\n  GlobalView(const GlobalView&) = delete;\n  ~GlobalView();\n  GlobalView& operator=(const GlobalView&) = delete;\n\n  void DrawNodeVisibilityGui(bool ctrl_pressed);\n  void UpdateAllViews(GlobalState& global_state);\n  void UpdateInputMeshView(GlobalState& global_state);\n  void UpdateDeformedMeshView(GlobalState& global_state);\n  void UpdateAnchorsView(GlobalState& global_state);\n  void UpdatePolycubeView(GlobalState& global_state);\n  void UpdatePolycubeComplexView(GlobalState& global_state);\n  void UpdatePolycubeComplexView(const QuadComplex& quad_complex,\n                                 bool color_by_patch, bool use_axis_color);\n  void UpdateFilteredHexView(GlobalState& global_state,\n                             const FilteringSetting& filtering_setting);\n  void ChangeTriMeshAppearance(VisibilityFlag flag, bool transparent,\n                               bool wireframe);\n\n  void SetVisibility(unsigned long flags);\n  void AddVisibility(unsigned long flags);\n  void RemoveVisibility(unsigned long flags);\n  unsigned long GetVisibility();\n  PolycubeView& GetPolycubeView();\n\n private:\n  struct VisibilityInfo {\n    VisibilityFlag flag;\n    vkoo::st::Node*& node;\n    bool& visibility;\n    bool transparent{false};  // only used by input/deformed meshes\n    bool wireframe{true};     // only used by input/deformed meshes\n  };\n\n  void CreateDefaultMaterials();\n  void SetMeshOptions();\n  void RegisterVisibilityInfos();\n  void UpdateVisibility();\n  void ClearVisibility();\n  VisibilityInfo& GetVisibilityInfo(VisibilityFlag flag);\n  void UpdateMeshViewByInfo(const VisibilityInfo& info);\n\n  void CleanupPolycubeComplexView();\n  std::vector<glm::vec4> CreatePolycubePatchColors(\n      const QuadComplex& quad_complex, bool use_axis_color);\n\n  vkoo::Device& device_;\n  vkoo::st::Scene& scene_;\n\n  vkoo::st::Node* input_mesh_node_{nullptr};\n  vkoo::st::Node* deformed_mesh_node_{nullptr};\n  vkoo::st::Node* anchors_node_{nullptr};\n  vkoo::st::Node* polycube_node_{nullptr};\n  vkoo::st::Node* polycube_complex_node_{nullptr};\n  vkoo::st::Node* result_filtered_mesh_node_{nullptr};\n\n  struct {\n    bool input_mesh{false};\n    bool deformed_mesh{false};\n    bool anchors{false};\n    bool decomposition{false};\n    bool polycube_complex{false};\n    bool result_filtered_mesh{false};\n  } visibility_;\n\n  std::vector<VisibilityInfo> visibility_infos_;\n\n  vkoo::st::Material anchors_materials_[2];\n\n  TriSurfaceView::Options input_mesh_options_;\n  TriSurfaceView::Options deformed_mesh_options_;\n\n  std::unique_ptr<TriSurfaceView> input_mesh_view_;\n  std::unique_ptr<TriSurfaceView> deformed_mesh_view_;\n  std::unique_ptr<PolycubeView> polycube_view_;\n  std::unique_ptr<QuadSurfaceView> polycube_complex_view_;\n  std::unique_ptr<QuadSurfaceView> result_filtered_view_;\n\n  std::unique_ptr<FilteredHexMesh> filtered_hex_mesh_;\n\n  std::unique_ptr<std::vector<glm::vec4>> patch_colors_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/views/HexCollectionView.cpp",
    "content": "#include \"HexCollectionView.h\"\n\n#include <vkoo/core/VertexObject.h>\n#include <vkoo/st/Node.h>\n#include <vkoo/st/components/Mesh.h>\n\n#include \"logging.h\"\n#include \"models/HexConvention.h\"\n\nnamespace hex {\nnamespace {\nconst float kWireframeOffset = 1e-4f;\n}\n\nHexCollectionView::HexCollectionView(vkoo::Device& device,\n                                     vkoo::st::Node& parent_node,\n                                     float hex_size, const glm::vec4& color)\n    : device_{device}, hex_size_{hex_size} {\n  wireframe_material_.colors[\"diffuse_color\"] = {0.1f, 0.1f, 0.1f, 1.0f};\n  hex_material_.colors[\"diffuse_color\"] = color;\n\n  auto& kCorners = HexConvention::GetCorners();  // {0, 1}\n  auto& kFaceCornerIds = HexConvention::GetFaceCornerIds();\n\n  // Build VertexObjects for a single hex.\n  std::vector<glm::vec3> positions;\n  std::vector<glm::vec3> normals;\n  std::vector<uint32_t> indices;\n  std::vector<glm::vec3> wireframe_positions;\n  std::vector<uint32_t> wireframe_indices;\n\n  for (auto& face : kFaceCornerIds) {\n    Vector3f v[4];\n    for (size_t k = 0; k < 4; k++) {\n      v[k] = kCorners[face[k]].cast<float>();\n    }\n\n    Vector3f n = (v[1] - v[0]).cross(v[2] - v[0]).normalized();\n    for (size_t k = 0; k < 4; k++) {\n      positions.push_back(ToGlm(v[k]));\n      normals.push_back(ToGlm(n));\n      wireframe_positions.push_back(positions.back() +\n                                    kWireframeOffset * normals.back());\n    }\n    uint32_t j = static_cast<uint32_t>(positions.size() - 4);\n    indices.insert(indices.end(), {j, j + 1, j + 2, j, j + 2, j + 3});\n    wireframe_indices.insert(wireframe_indices.end(),\n                             {j, j + 1, j + 1, j + 2, j + 2, j + 3, j + 3, j});\n  }\n\n  hex_vbo_ = std::make_shared<vkoo::VertexObject>(device_);\n  hex_vbo_->Update(\"position\", positions);\n  hex_vbo_->Update(\"normal\", normals);\n  hex_vbo_->UpdateIndices(indices);\n\n  wireframe_vbo_ = std::make_shared<vkoo::VertexObject>(device_);\n  wireframe_vbo_->Update(\"position\", wireframe_positions);\n  wireframe_vbo_->Update(\"normal\", normals);\n  wireframe_vbo_->UpdateIndices(wireframe_indices);\n\n  auto node = std::make_unique<vkoo::st::Node>();\n  wrapper_node_ = node.get();\n  parent_node.AddChild(std::move(node));\n};\n\nHexCollectionView::~HexCollectionView() {\n  assert(wrapper_node_);\n  wrapper_node_->RemoveFromParent();\n}\n\nvoid HexCollectionView::AddHex(const Vector3i& hex, bool wireframe,\n                               bool transparent) {\n  auto scale = glm::vec3{hex_size_, hex_size_, hex_size_};\n  auto position =\n      glm::vec3{(float)hex.x() * hex_size_, (float)hex.y() * hex_size_,\n                (float)hex.z() * hex_size_};\n  auto hex_node = std::make_unique<vkoo::st::Node>();\n  hex_node->GetTransform().SetScale(scale);\n  hex_node->GetTransform().SetPosition(position);\n\n  auto& hex_mesh = hex_node->CreateComponent<vkoo::st::Mesh>(\n      hex_vbo_, hex_vbo_->GetIndexCount());\n  hex_mesh.SetMaterial(hex_material_);\n  if (transparent) {\n    hex_mesh.SetTransparent(true);\n    hex_mesh.SetAllowDepthTesting(false);\n  }\n  wrapper_node_->AddChild(std::move(hex_node));\n\n  // FIXME: wireframe now appears weird due to alpha blending overwriting black\n  // color.\n  if (wireframe) {\n    auto wireframe_node = std::make_unique<vkoo::st::Node>();\n    wireframe_node->GetTransform().SetScale(scale);\n    wireframe_node->GetTransform().SetPosition(position);\n    auto& wireframe_mesh = wireframe_node->CreateComponent<vkoo::st::Mesh>(\n        wireframe_vbo_, wireframe_vbo_->GetIndexCount());\n    wireframe_mesh.SetMaterial(wireframe_material_);\n    wireframe_mesh.SetPolygonMode(vkoo::st::PolygonMode::Line);\n    wireframe_mesh.SetPrimitiveTopology(vkoo::st::PrimitiveTopology::LineList);\n    wrapper_node_->AddChild(std::move(wireframe_node));\n  }\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/views/HexCollectionView.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\n#include <vkoo/core/Device.h>\n#include <vkoo/core/VertexObject.h>\n#include <vkoo/st/Material.h>\n\nnamespace hex {\n// View for a collection of axis-aligned hexes of same size.\nclass HexCollectionView {\n public:\n  HexCollectionView(vkoo::Device& device, vkoo::st::Node& parent_node,\n                    float hex_size, const glm::vec4& color);\n  ~HexCollectionView();\n  void AddHex(const Vector3i& hex, bool wireframe, bool transparent);\n\n private:\n  vkoo::Device& device_;\n  vkoo::st::Node* wrapper_node_;\n\n  float hex_size_;\n  vkoo::st::Material hex_material_;\n  std::shared_ptr<vkoo::VertexObject> hex_vbo_;\n  vkoo::st::Material wireframe_material_;\n  std::shared_ptr<vkoo::VertexObject> wireframe_vbo_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/views/LandmarksEditingView.cpp",
    "content": "#include \"LandmarksEditingView.h\"\n\n#include <vkoo/core/PrimitiveFactory.h>\n#include <vkoo/st/components/Mesh.h>\n#include <vkoo/st/components/Tracing.h>\n\n#include \"vkoo/st/hittables/Ray.h\"\n#include \"vkoo/st/hittables/Sphere.h\"\n\nnamespace hex {\nnamespace {\nconst float kRadius = 0.01f;\nconst glm::vec4& kDefaultColor = {1.0f, 1.0f, 0.0f, 1.0f};\nconst glm::vec4& kHighlightColor = {1.0f, 0.0f, 0.2f, 0.5f};\n}\n\nLandmarksEditingView::LandmarksEditingView(vkoo::Device& device,\n                                           vkoo::st::Node& parent_node) {\n  sphere_vbo_ = vkoo::PrimitiveFactory::CreateSphere(device, kRadius, 24, 24);\n  default_material_.colors[\"diffuse_color\"] = kDefaultColor;\n  highlight_material_.colors[\"diffuse_color\"] = kHighlightColor;\n\n  auto wrapper_node = std::make_unique<vkoo::st::Node>();\n  wrapper_node_ = wrapper_node.get();\n  parent_node.AddChild(std::move(wrapper_node));\n}\n\nvkoo::st::Node* LandmarksEditingView::GetWrapperNode() const {\n  return wrapper_node_;\n}\n\nbool LandmarksEditingView::IntersectWithRay(const Ray& world_ray,\n                                            size_t& hit_id) {\n  bool intersected = false;\n  vkoo::st::HitRecord hit_record{};\n  for (auto& kv : id_to_node_) {\n    auto node = kv.second;\n    auto tracing_component = node->GetComponentPtr<vkoo::st::Tracing>();\n    assert(tracing_component);\n    vkoo::st::Ray local_ray = world_ray.ToGlm();\n    local_ray.ApplyTransform(node->GetTransform().GetWorldToLocalMatrix());\n    if (tracing_component->GetHittable().Intersect(local_ray, hit_record)) {\n      hit_id = kv.first;\n      intersected = true;\n    }\n  }\n  return intersected;\n}\n\nvoid LandmarksEditingView::AddLandmark(size_t id, const Vector3f& position) {\n  assert(!id_to_node_.count(id));\n\n  auto node = std::make_unique<vkoo::st::Node>();\n  node->GetTransform().SetPosition(ToGlm(position));\n  auto& mesh = node->CreateComponent<vkoo::st::Mesh>(\n      sphere_vbo_, sphere_vbo_->GetIndexCount());\n  mesh.SetMaterial(default_material_);\n\n  node->CreateComponent<vkoo::st::Tracing>(\n      std::make_shared<vkoo::st::Sphere>(kRadius));\n\n  auto node_ptr = node.get();\n  wrapper_node_->AddChild(std::move(node));\n\n  id_to_node_[id] = node_ptr;\n}\n\nvoid LandmarksEditingView::UpdatePositions(\n    const std::vector<Vector3f> positions) {\n  for (auto& kv : id_to_node_) {\n    kv.second->GetTransform().SetPosition(ToGlm(positions[kv.first]));\n  }\n}\n\nvoid LandmarksEditingView::MoveLandmark(size_t id,\n                                        const Vector3f& new_position) {\n  auto itr = id_to_node_.find(id);\n  assert(itr != id_to_node_.end());\n  itr->second->GetTransform().SetPosition(ToGlm(new_position));\n}\n\nvoid LandmarksEditingView::HighlightLandmark(const Vector3f& position) {\n  if (highlight_node_) {\n    wrapper_node_->RemoveChild(highlight_node_);\n  }\n\n  auto node = std::make_unique<vkoo::st::Node>();\n  node->GetTransform().SetPosition(ToGlm(position));\n  auto& mesh = node->CreateComponent<vkoo::st::Mesh>(\n      sphere_vbo_, sphere_vbo_->GetIndexCount());\n  mesh.SetMaterial(highlight_material_);\n  mesh.SetTransparent(true);\n  mesh.SetAllowDepthTesting(false);\n\n  highlight_node_ = node.get();\n  wrapper_node_->AddChild(std::move(node));\n}\n\nvoid LandmarksEditingView::RemoveHighlightLandmark() {\n  if (highlight_node_ != nullptr) {\n    wrapper_node_->RemoveChild(highlight_node_);\n    highlight_node_ = nullptr;\n  }\n}\n\nvoid LandmarksEditingView::RemoveLandmark(size_t id) {\n  auto itr = id_to_node_.find(id);\n  assert(itr != id_to_node_.end());\n  wrapper_node_->RemoveChild(itr->second);\n  id_to_node_.erase(itr);\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/views/LandmarksEditingView.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\n#include <vkoo/core/Device.h>\n#include <vkoo/core/VertexObject.h>\n#include <vkoo/st/Material.h>\n#include <vkoo/st/Node.h>\n\n#include \"models/Ray.h\"\n\nnamespace hex {\nclass LandmarksEditingView {\n public:\n  LandmarksEditingView(vkoo::Device& device, vkoo::st::Node& parent_node);\n  void AddLandmark(size_t id, const Vector3f& position);\n  void HighlightLandmark(const Vector3f& position);\n  void RemoveLandmark(size_t id);\n  void RemoveHighlightLandmark();\n  void MoveLandmark(size_t id, const Vector3f& new_position);\n  void UpdatePositions(const std::vector<Vector3f> positions);\n  bool IntersectWithRay(const Ray& world_ray, size_t& hit_id);\n  vkoo::st::Node* GetWrapperNode() const;\n\n private:\n  vkoo::st::Node* wrapper_node_{nullptr};\n\n  std::shared_ptr<vkoo::VertexObject> sphere_vbo_;\n  std::unordered_map<size_t, vkoo::st::Node*> id_to_node_;\n  vkoo::st::Node* highlight_node_{nullptr};\n\n  vkoo::st::Material default_material_;\n  vkoo::st::Material highlight_material_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/views/PolycubeView.cpp",
    "content": "#include \"PolycubeView.h\"\n\nnamespace hex {\n// FIXME: passing wrapper_node is bad practice. See other views.\nPolycubeView::PolycubeView(vkoo::Device& device, vkoo::st::Node* wrapper_node)\n    : device_{device}, wrapper_node_{wrapper_node} {}\n\nPolycubeView::~PolycubeView() { Cleanup(); }\n\nvoid PolycubeView::AddCuboid(const Cuboid& cuboid) {\n  auto cuboid_node = std::make_unique<CuboidNode>(device_);\n  cuboid_node->UpdateView(cuboid);\n\n  cuboid_nodes_.push_back(cuboid_node.get());\n  wrapper_node_->AddChild(std::move(cuboid_node));\n}\n\nvoid PolycubeView::DeleteCuboid(int i) {\n  wrapper_node_->RemoveChild(cuboid_nodes_.at(i));\n  cuboid_nodes_.erase(cuboid_nodes_.begin() + i);\n}\n\nCuboidNode& PolycubeView::GetCuboidNode(int i) { return *cuboid_nodes_.at(i); }\n\nvoid PolycubeView::Update(const Polycube& polycube,\n                          const PolycubeInfo& polycube_info) {\n  Cleanup();\n  for (size_t i = 0; i < polycube.GetCuboidCount(); i++) {\n    auto& cuboid = polycube.GetCuboid(i);\n    AddCuboid(cuboid);\n    cuboid_nodes_.back()->UpdateMode(polycube_info.locked[i]\n                                         ? CuboidNode::Mode::Locked\n                                         : CuboidNode::Mode::Free);\n  }\n}\n\nvoid PolycubeView::CreateTmpCuboid(const Cuboid& cuboid) {\n  if (tmp_cuboid_node_ != nullptr) {\n    DeleteTmpCuboid();\n  }\n  auto cuboid_node = std::make_unique<CuboidNode>(device_);\n  cuboid_node->UpdateView(cuboid);\n\n  tmp_cuboid_node_ = cuboid_node.get();\n  wrapper_node_->AddChild(std::move(cuboid_node));\n}\n\nvoid PolycubeView::DeleteTmpCuboid() {\n  assert(tmp_cuboid_node_ != nullptr);\n  tmp_cuboid_node_->RemoveFromParent();\n  tmp_cuboid_node_ = nullptr;\n}\n\nCuboidNode& PolycubeView::GetTmpCuboidNode() {\n  assert(tmp_cuboid_node_);\n  return *tmp_cuboid_node_;\n}\n\nvoid PolycubeView::Cleanup() {\n  for (auto& node : cuboid_nodes_) {\n    wrapper_node_->RemoveChild(node);\n  }\n  cuboid_nodes_.clear();\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/views/PolycubeView.h",
    "content": "#pragma once\n\n#include <vkoo/st/Scene.h>\n\n#include \"CuboidNode.h\"\n#include \"models/Cuboid.h\"\n#include \"models/Polycube.h\"\n#include \"models/PolycubeInfo.h\"\n\nnamespace hex {\n// This view class manages all cuboids scene nodes.\nclass PolycubeView {\n public:\n  PolycubeView(vkoo::Device& device, vkoo::st::Node* wrapper_node);\n  ~PolycubeView();\n  void AddCuboid(const Cuboid& cuboid);\n  void DeleteCuboid(int i);\n  void Update(const Polycube& polycube, const PolycubeInfo& polycube_info);\n  CuboidNode& GetCuboidNode(int i);\n  const std::vector<CuboidNode*>& GetCuboidNodes() { return cuboid_nodes_; }\n\n  // Temporary cuboid is for cuboid subtraction.\n  void CreateTmpCuboid(const Cuboid& cuboid);\n  void DeleteTmpCuboid();\n  CuboidNode& GetTmpCuboidNode();\n\n  void Cleanup();\n\n private:\n  vkoo::Device& device_;\n\n  std::vector<CuboidNode*> cuboid_nodes_;\n  CuboidNode* tmp_cuboid_node_{nullptr};\n  vkoo::st::Node* wrapper_node_{nullptr};\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/views/QuadSurfaceView.cpp",
    "content": "#include \"QuadSurfaceView.h\"\n\n#include <vkoo/core/VertexObject.h>\n#include <vkoo/st/components/Mesh.h>\n\n#include \"logging.h\"\n\nnamespace hex {\nnamespace {\nconst float kWireframeOffset = 1e-4f;\n}\nQuadSurfaceView::QuadSurfaceView(vkoo::Device& device,\n                                 vkoo::st::Node& parent_node,\n                                 const Options& options)\n    : device_{device}, options_{options} {\n  rand_eng_ = std::default_random_engine(options_.seed);\n  base_material_.colors[\"diffuse_color\"] = options.base_color;\n  wireframe_material_.colors[\"diffuse_color\"] = options.wireframe_color;\n\n  auto wrapper_node = std::make_unique<vkoo::st::Node>();\n  wrapper_node_ = wrapper_node.get();\n  parent_node.AddChild(std::move(wrapper_node));\n}\n\nvkoo::st::Node* QuadSurfaceView::GetWrapperNode() const {\n  return wrapper_node_;\n}\n\nstd::unique_ptr<vkoo::st::Node> QuadSurfaceView::CreateNodeForAllPatches(\n    const std::vector<Vector3f>& vertices, const std::vector<Vector4i>& quads,\n    const std::vector<std::vector<size_t>>& patches,\n    const std::vector<glm::vec4>& patch_colors) {\n  auto node = std::make_unique<vkoo::st::Node>();\n  if (patches.empty()) {\n    return node;\n  }\n  std::vector<glm::vec3> positions;\n  std::vector<glm::vec3> normals;\n  std::vector<glm::vec4> colors;\n  std::vector<uint32_t> indices;\n  std::vector<glm::vec3> wireframe_positions;\n  std::vector<uint32_t> wireframe_indices;\n\n  for (size_t i = 0; i < patches.size(); i++) {\n    auto& patch = patches[i];\n    for (auto& quad_id : patch) {\n      auto& quad = quads[quad_id];\n      Vector3f v[4];\n      for (size_t k = 0; k < 4; k++) {\n        v[k] = vertices[quad(k)];\n      }\n      Vector3f n = (v[1] - v[0]).cross(v[2] - v[0]).normalized();\n      for (size_t k = 0; k < 4; k++) {\n        positions.push_back(ToGlm(v[k]));\n        normals.push_back(ToGlm(n));\n        colors.push_back(patch_colors.at(i));\n        wireframe_positions.push_back(positions.back() +\n                                      kWireframeOffset * normals.back());\n      }\n\n      uint32_t j = static_cast<uint32_t>(positions.size() - 4);\n      indices.insert(indices.end(), {j, j + 1, j + 2, j, j + 2, j + 3});\n      wireframe_indices.insert(\n          wireframe_indices.end(),\n          {j, j + 1, j + 1, j + 2, j + 2, j + 3, j + 3, j});\n    }\n  }\n\n  if (indices.size() > 0) {\n    auto vertex_object = std::make_shared<vkoo::VertexObject>(device_);\n    vertex_object->Update(\"position\", positions);\n    vertex_object->Update(\"normal\", normals);\n    vertex_object->Update(\"color\", colors);\n    vertex_object->UpdateIndices(indices);\n\n    auto patches_node = std::make_unique<vkoo::st::Node>();\n    auto& mesh = patches_node->CreateComponent<vkoo::st::Mesh>(vertex_object,\n                                                               indices.size());\n    mesh.UpdateShaderVariant();  // FIXME: we are using per-vertex color\n                                 // here, but there should be a more\n                                 // elegant way.\n\n    node->AddChild(std::move(patches_node));\n  }\n  if (wireframe_indices.size() > 0) {\n    auto vertex_object = std::make_shared<vkoo::VertexObject>(device_);\n    vertex_object->Update(\"position\", wireframe_positions);\n    vertex_object->Update(\"normal\", normals);\n    vertex_object->UpdateIndices(wireframe_indices);\n\n    auto wireframe_node = std::make_unique<vkoo::st::Node>();\n    auto& wireframe_mesh = wireframe_node->CreateComponent<vkoo::st::Mesh>(\n        vertex_object, wireframe_indices.size());\n    wireframe_mesh.SetMaterial(wireframe_material_);\n    wireframe_mesh.SetPolygonMode(vkoo::st::PolygonMode::Line);\n    wireframe_mesh.SetPrimitiveTopology(vkoo::st::PrimitiveTopology::LineList);\n    wireframe_mesh.SetLineWidth(2.0f);\n\n    node->AddChild(std::move(wireframe_node));\n  }\n  return node;\n}\n\nstd::unique_ptr<vkoo::st::Node> QuadSurfaceView::CreateNodeForPatch(\n    const std::vector<Vector3f>& vertices, const std::vector<Vector4i>& quads,\n    const std::vector<size_t>& patch, const vkoo::st::Material& material) {\n  auto node = std::make_unique<vkoo::st::Node>();\n  if (patch.empty()) {\n    return node;\n  }\n\n  std::vector<glm::vec3> positions;\n  std::vector<glm::vec3> normals;\n  std::vector<uint32_t> indices;\n  std::vector<glm::vec3> wireframe_positions;\n  std::vector<uint32_t> wireframe_indices;\n\n  for (auto& quad_id : patch) {\n    auto& quad = quads[quad_id];\n    Vector3f v[4];\n    for (size_t k = 0; k < 4; k++) {\n      v[k] = vertices[quad(k)];\n    }\n    Vector3f n = (v[1] - v[0]).cross(v[2] - v[0]).normalized();\n    for (size_t k = 0; k < 4; k++) {\n      positions.push_back(ToGlm(v[k]));\n      normals.push_back(ToGlm(n));\n      wireframe_positions.push_back(positions.back() +\n                                    kWireframeOffset * normals.back());\n    }\n\n    uint32_t j = static_cast<uint32_t>(positions.size() - 4);\n    indices.insert(indices.end(), {j, j + 1, j + 2, j, j + 2, j + 3});\n    wireframe_indices.insert(wireframe_indices.end(),\n                             {j, j + 1, j + 1, j + 2, j + 2, j + 3, j + 3, j});\n  }\n\n  {\n    auto vertex_object = std::make_shared<vkoo::VertexObject>(device_);\n    vertex_object->Update(\"position\", positions);\n    vertex_object->Update(\"normal\", normals);\n    vertex_object->UpdateIndices(indices);\n\n    auto patch_node = std::make_unique<vkoo::st::Node>();\n    auto& mesh = patch_node->CreateComponent<vkoo::st::Mesh>(vertex_object,\n                                                             indices.size());\n    mesh.SetMaterial(material);\n\n    node->AddChild(std::move(patch_node));\n  }\n  {\n    auto vertex_object = std::make_shared<vkoo::VertexObject>(device_);\n    vertex_object->Update(\"position\", wireframe_positions);\n    vertex_object->Update(\"normal\", normals);\n    vertex_object->UpdateIndices(wireframe_indices);\n\n    auto wireframe_node = std::make_unique<vkoo::st::Node>();\n    auto& wireframe_mesh = wireframe_node->CreateComponent<vkoo::st::Mesh>(\n        vertex_object, wireframe_indices.size());\n    wireframe_mesh.SetMaterial(wireframe_material_);\n    wireframe_mesh.SetPolygonMode(vkoo::st::PolygonMode::Line);\n    wireframe_mesh.SetPrimitiveTopology(vkoo::st::PrimitiveTopology::LineList);\n    wireframe_mesh.SetLineWidth(2.0f);\n\n    node->AddChild(std::move(wireframe_node));\n  }\n  return node;\n}\n\nvoid QuadSurfaceView::Update(const QuadComplex& quad_complex,\n                             const std::vector<glm::vec4>& patch_colors) {\n  wrapper_node_->RemoveAllChildren();\n\n  auto& complex_vertices = quad_complex.GetVertices();\n  auto& complex_quads = quad_complex.GetQuads();\n  auto& complex_patches = quad_complex.GetPatches();\n\n  auto node = CreateNodeForAllPatches(complex_vertices, complex_quads,\n                                      complex_patches, patch_colors);\n  wrapper_node_->AddChild(std::move(node));\n}\n\nvoid QuadSurfaceView::Update(const QuadrilateralMesh& quad_mesh) {\n  wrapper_node_->RemoveAllChildren();\n\n  auto& vertices = quad_mesh.GetVertices();\n  auto& quads = quad_mesh.GetQuads();\n  // Create a dummy patch that is the entire quad mesh.\n  std::vector<size_t> patch;\n  for (size_t i = 0; i < quads.size(); i++) {\n    patch.push_back(i);\n  }\n  auto node = CreateNodeForPatch(vertices, quads, patch, base_material_);\n  wrapper_node_->AddChild(std::move(node));\n}\n\nconst vkoo::st::Material& QuadSurfaceView::GetPatchMaterial(size_t patch_id) {\n  std::uniform_real_distribution<float> dis(0.0f, 1.0f);\n\n  auto it = patch_materials_.find(patch_id);\n  if (it == patch_materials_.end()) {\n    glm::vec4 new_color((float)dis(rand_eng_), (float)dis(rand_eng_),\n                        (float)dis(rand_eng_), 1.0f);\n    vkoo::st::Material new_material;\n    new_material.colors[\"diffuse_color\"] = new_color;\n    auto emplace_it = patch_materials_.emplace(patch_id, new_material);\n    assert(emplace_it.second);\n    it = emplace_it.first;\n  }\n\n  return it->second;\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/views/QuadSurfaceView.h",
    "content": "#pragma once\n\n#include <vkoo/core/Device.h>\n#include <vkoo/st/Material.h>\n#include <vkoo/st/Scene.h>\n\n#include \"models/QuadComplex.h\"\n#include \"models/QuadrilateralMesh.h\"\n\nnamespace hex {\nclass QuadSurfaceView {\n public:\n  struct Options {\n    glm::vec4 base_color{1.0f, 1.0f, 1.0f, 1.0f};\n    bool wireframe{true};\n    glm::vec4 wireframe_color{0.1f, 0.1f, 0.1f, 1.0f};\n    bool random{true};  // random only for multi-patch complexes\n    int seed{42};\n  };\n\n  QuadSurfaceView(vkoo::Device& device, vkoo::st::Node& parent_node,\n                  const Options& options);\n  void Update(const QuadComplex& quad_complex,\n              const std::vector<glm::vec4>& patch_colors = {});\n  void Update(const QuadrilateralMesh& quad_mesh);\n  vkoo::st::Node* GetWrapperNode() const;\n\n private:\n  std::unique_ptr<vkoo::st::Node> CreateNodeForPatch(\n      const std::vector<Vector3f>& vertices, const std::vector<Vector4i>& quads,\n      const std::vector<size_t>& patch, const vkoo::st::Material& material);\n  std::unique_ptr<vkoo::st::Node> CreateNodeForAllPatches(\n      const std::vector<Vector3f>& vertices, const std::vector<Vector4i>& quads,\n      const std::vector<std::vector<size_t>>& patches,\n      const std::vector<glm::vec4>& patch_colors);\n  const vkoo::st::Material& GetPatchMaterial(size_t patch_id);\n  vkoo::Device& device_;\n\n  vkoo::st::Node* wrapper_node_{nullptr};\n\n  std::unordered_map<size_t, vkoo::st::Material> patch_materials_;\n  vkoo::st::Material base_material_;\n  vkoo::st::Material wireframe_material_;\n\n  Options options_;\n  std::default_random_engine rand_eng_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/views/TriSurfaceView.cpp",
    "content": "#include \"TriSurfaceView.h\"\n\n#include <vkoo/core/VertexObject.h>\n#include <vkoo/st/components/Mesh.h>\n\n#include \"logging.h\"\n\nnamespace hex {\nnamespace {\nconst float kWireframeOffset = 1e-4f;\n}\nTriSurfaceView::TriSurfaceView(vkoo::Device& device,\n                                 vkoo::st::Node& parent_node,\n                                 const Options& options)\n    : device_{device}, options_{options} {\n  opaque_material_.colors[\"diffuse_color\"] = options.opaque_color;\n  wireframe_material_.colors[\"diffuse_color\"] = options.wireframe_color;\n  transparent_material_.colors[\"diffuse_color\"] = options.transparent_color;\n\n  auto wrapper_node = std::make_unique<vkoo::st::Node>();\n  wrapper_node_ = wrapper_node.get();\n  parent_node.AddChild(std::move(wrapper_node));\n}\n\nvkoo::st::Node* TriSurfaceView::GetWrapperNode() const { return wrapper_node_; }\n\nbool TriSurfaceView::IsEmpty() const {\n  return wrapper_node_->GetChildrenCount() == 0;\n}\n\nvoid TriSurfaceView::Update(const TriangularMesh& tri_mesh) {\n  wrapper_node_->RemoveAllChildren();\n\n  std::vector<glm::vec3> positions;\n  std::vector<glm::vec3> normals;\n  std::vector<uint32_t> indices;\n\n  Eigen::MatrixXf face_normals =\n      tri_mesh.GetFaceNormals().rowwise().normalized();\n  auto& vertices = tri_mesh.GetVertices();\n  auto& faces = tri_mesh.GetFaces();\n  for (int i = 0; i < faces.rows(); i++) {\n    for (int k = 0; k < 3; k++) {\n      Vector3f p = vertices.row(faces(i, k));\n      positions.push_back(ToGlm(p));\n      normals.push_back(ToGlm(Vector3f{face_normals.row(i)}));\n      indices.push_back(static_cast<int>(positions.size()) - 1);\n    }\n  }\n\n  {\n    auto vertex_object = std::make_shared<vkoo::VertexObject>(device_);\n    vertex_object->Update(\"position\", positions);\n    vertex_object->Update(\"normal\", normals);\n    vertex_object->UpdateIndices(indices);\n\n    auto node = std::make_unique<vkoo::st::Node>();\n    auto& mesh =\n        node->CreateComponent<vkoo::st::Mesh>(vertex_object, indices.size());\n    if (options_.transparent) {\n      mesh.SetTransparent(true);\n      mesh.SetMaterial(transparent_material_);\n    } else {\n      mesh.SetMaterial(opaque_material_);\n    }\n\n    surface_mesh_ = &mesh;\n    wrapper_node_->AddChild(std::move(node));\n  }\n  if (options_.wireframe) {\n    // For wireframe, offset a little bit.\n    for (size_t i = 0; i < positions.size(); i++) {\n      positions[i] += kWireframeOffset * normals[i];\n    }\n    auto vertex_object = std::make_shared<vkoo::VertexObject>(device_);\n    vertex_object->Update(\"position\", positions);\n    vertex_object->Update(\"normal\", normals);\n    vertex_object->UpdateIndices(indices);\n    auto node = std::make_unique<vkoo::st::Node>();\n    auto& mesh =\n        node->CreateComponent<vkoo::st::Mesh>(vertex_object, indices.size());\n    mesh.SetMaterial(wireframe_material_);\n    if (options_.transparent) {\n      mesh.SetTransparent(true);\n    }\n    mesh.SetPolygonMode(vkoo::st::PolygonMode::Line);\n    mesh.SetLineWidth(1.5f);\n\n    wireframe_mesh_ = &mesh;\n    wrapper_node_->AddChild(std::move(node));\n  }\n  LOGI(\"Finish updating tri surface view...\");\n}\n\nvoid TriSurfaceView::SetTransparency(bool transparent) {\n  surface_mesh_->SetTransparent(transparent);\n  surface_mesh_->SetMaterial(transparent ? transparent_material_\n                                         : opaque_material_);\n  if (options_.wireframe) {\n    assert(wireframe_mesh_);\n    wireframe_mesh_->SetTransparent(transparent);\n  }\n}\n\nvoid TriSurfaceView::SetWireframeVisible(bool visible) {\n  assert(wireframe_mesh_);\n  wireframe_mesh_->GetNode()->SetVisible(visible);\n}\n}  // namespace hex\n"
  },
  {
    "path": "hex/src/views/TriSurfaceView.h",
    "content": "#pragma once\n\n#include <vkoo/core/Device.h>\n#include <vkoo/st/Material.h>\n#include <vkoo/st/Scene.h>\n\n#include \"models/TriangularMesh.h\"\n#include \"vkoo/st/components/Mesh.h\"\n\nnamespace hex {\nclass TriSurfaceView {\n public:\n  struct Options {\n    glm::vec4 opaque_color{1.0f, 1.0f, 1.0f, 1.0f};\n    bool wireframe{true};\n    glm::vec4 wireframe_color{0.1f, 0.1f, 0.1f, 1.0f};\n    bool transparent{false};\n    glm::vec4 transparent_color{0.0f, 1.0f, 0.1f, 0.5f};\n  };\n\n  TriSurfaceView(vkoo::Device& device, vkoo::st::Node& parent_node,\n                 const Options& options);\n  void Update(const TriangularMesh& tri_mesh);\n  void SetTransparency(bool transparent);\n  void SetWireframeVisible(bool visible);\n  vkoo::st::Node* GetWrapperNode() const;\n  bool IsEmpty() const;\n\n private:\n  vkoo::Device& device_;\n\n  vkoo::st::Node* wrapper_node_{nullptr};\n  vkoo::st::Mesh* surface_mesh_{nullptr};\n  vkoo::st::Mesh* wireframe_mesh_{nullptr};\n\n  vkoo::st::Material opaque_material_;\n  vkoo::st::Material transparent_material_;\n  vkoo::st::Material wireframe_material_;\n\n  Options options_;\n};\n}  // namespace hex\n"
  },
  {
    "path": "vkoo/CMakeLists.txt",
    "content": "file(GLOB vkoo_srcs\n        src/*.cpp\n        src/core/*.cpp\n        src/st/*.cpp\n        src/st/components/*.cpp\n        src/st/scripts/*.cpp\n        src/st/hittables/*.cpp)\n\nadd_library(vkoo ${vkoo_srcs})\ntarget_compile_options(vkoo PRIVATE ${cxx_warning_flags})\ntarget_include_directories(vkoo PUBLIC ${CMAKE_CURRENT_SOURCE_DIR}/include)\n\ntarget_link_libraries(vkoo Vulkan::Vulkan stb spirv-cross-glsl imgui SPIRV glslang glslang-default-resource-limits glfw glm spdlog)\ntarget_compile_definitions(vkoo PRIVATE SHADER_PATH=\"${CMAKE_CURRENT_SOURCE_DIR}/shaders\" ASSET_PATH=\"${CMAKE_CURRENT_SOURCE_DIR}/assets\")\n"
  },
  {
    "path": "vkoo/assets/bunny.obj",
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-19.18957566 -5.25882844 33.47173785\nv -19.33905072 -9.49106590 34.22059896\nv -0.38132894 -3.02322147 28.06020569\nv 9.40513227 -1.72291380 27.53401139\nv 2.10626593 0.55061456 36.26462316\nv -14.07812921 -13.23778790 34.17054916\nv -19.20366460 -5.02645472 39.02368253\nv -16.03246262 -13.45734966 32.36184766\nv 8.23231919 -6.23195118 27.64574882\nv -13.11740036 4.86840980 40.01792271\nv -18.81808793 1.76644381 34.69193963\nv -13.49049670 2.58216863 35.76255755\nv -18.75252634 -12.67068680 24.78764705\nv -18.68562006 -1.67819152 39.47945535\nv -14.72067947 2.18066111 34.29999464\nv -18.96583085 2.04091409 26.86094056\nv -9.31057659 -3.92309387 39.37673711\nv -17.86670609 -9.66071325 39.30509294\nv -17.44581678 2.33248126 32.60296572\nv -13.78596763 -13.20211247 35.14671272\nv 13.81981507 2.35618490 27.13562803\nv 6.69370154 -13.90055898 24.50618094\nv -6.10663614 -1.00750710 33.52553954\nv -19.02974010 -5.25402906 25.78817230\nf 2697 2992 2416\nf 2461 2942 1924\nf 1761 1867 2874\nf 2697 2416 4625\nf 2648 2671 2961\nf 2978 2591 368\nf 1816 2460 3040\nf 1729 2845 1972\nf 1966 2502 2347\nf 1799 2916 2875\nf 2617 1836 1971\nf 2563 2686 1812\nf 3085 2762 2829\nf 2609 2685 1965\nf 2393 1727 2630\nf 2420 2609 2842\nf 684 2439 2644\nf 3221 684 2693\nf 2514 1844 2774\nf 2582 2935 2512\nf 1629 2507 2581\nf 1306 1942 721\nf 2874 2968 1921\nf 2690 1860 2779\nf 2701 1731 2589\nf 2905 1639 5130\nf 1848 1563 1638\nf 3134 1678 2865\nf 2979 2481 2546\nf 4282 1590 4218\nf 2622 2715 2460\nf 2860 3222 3443\nf 2867 2776 1890\nf 2533 2646 2567\nf 3063 1944 2562\nf 3012 2766 1746\nf 1929 2655 5718\nf 1811 2573 2618\nf 2605 1815 4676\nf 1844 2514 1822\nf 4348 2873 559\nf 3181 2856 1568\nf 2753 2525 2510\nf 2758 87 2712\nf 3827 1837 2492\nf 1786 2926 1737\nf 2711 1526 2606\nf 3173 1420 4585\nf 1868 1629 2925\nf 2507 2470 2581\nf 1194 3457 1543\nf 1671 3051 2523\nf 2415 1852 2983\nf 4466 2841 1883\nf 1671 2675 4274\nf 2770 2702 2525\nf 3507 3904 2711\nf 2577 4261 4219\nf 2793 1847 1958\nf 3060 2523 1760\nf 1658 1781 1757\nf 1803 2446 2690\nf 2572 2686 1405\nf 1826 2518 2866\nf 2516 1745 1947\nf 1855 2748 2623\nf 2806 1996 3040\nf 2844 2942 2472\nf 621 3444 1677\nf 684 2960 2439\nf 3052 2760 2485\nf 1935 2478 1795\nf 2595 1722 2475\nf 2896 2752 2841\nf 1689 2399 2733\nf 1900 1837 2864\nf 1895 2679 2967\nf 2957 1978 2750\nf 1830 1778 1616\nf 2866 2701 1826\nf 1882 3048 1510\nf 2876 2347 1681\nf 2376 2567 2646\nf 1503 1972 2845\nf 2739 2574 1664\nf 1775 1733 2542\nf 3001 2474 2961\nf 2454 2416 2992\nf 2997 2922 3548\nf 1422 1926 2620\nf 2426 758 2484\nf 5718 2875 2850\nf 1879 1922 1679\nf 5718 2651 1929\nf 3221 2693 2535\nf 1776 1811 2465\nf 1777 2695 2455\nf 2427 2750 1978\nf 2461 2764 2656\nf 2569 4676 1760\nf 1920 1667 2544\nf 3133 3553 818\nf 1708 2606 1526\nf 2396 2619 1970\nf 1745 2896 2841\nf 2724 2011 1600\nf 1503 2845 2476\nf 2791 1695 2779\nf 2864 2719 1900\nf 2926 4585 1420\nf 1690 1854 2430\nf 2757 2843 1815\nf 2449 4625 2917\nf 2916 2661 2850\nf 2703 2191 2822\nf 2529 3126 2501\nf 1638 2854 1848\nf 2158 1623 4284\nf 1821 2849 2581\nf 1670 1775 2542\nf 4901 2721 2499\nf 2627 2980 1995\nf 2782 2629 1908\nf 2678 4692 2854\nf 3548 1600 1914\nf 1604 2438 5007\nf 4810 2471 1942\nf 4069 5130 1639\nf 3068 1418 1389\nf 2571 1624 2426\nf 1738 2410 2774\nf 2580 1667 1920\nf 1868 2925 2616\nf 962 1491 2717\nf 2475 1722 2489\nf 2866 2518 2693\nf 4458 2526 156\nf 2694 1843 1767\nf 1615 1894 1699\nf 2659 1939 1885\nf 2966 3257 2784\nf 2801 1611 2476\nf 1672 2659 2446\nf 2697 1496 2992\nf 3181 2397 2856\nf 2903 1574 6120\nf 3225 1671 3300\nf 2824 2590 1753\nf 1801 2812 2887\nf 2523 2675 1671\nf 2450 2462 2506\nf 3194 2440 1689\nf 2702 2770 1663\nf 2462 2010 1901\nf 1910 1723 1875\nf 1957 1664 2603\nf 2557 2550 2900\nf 2487 2554 1767\nf 2474 2648 2961\nf 3328 5426 1416\nf 1592 1952 712\nf 1576 1646 2618\nf 1827 1893 1963\nf 1940 1611 2580\nf 2437 2447 2588\nf 5024 1573 5443\nf 2552 2617 2858\nf 1856 2904 2736\nf 1962 1994 4810\nf 2738 1545 2575\nf 2540 1784 2376\nf 2562 1814 2762\nf 1731 2830 2589\nf 2517 2509 1786\nf 2780 2576 2398\nf 4219 608 1754\nf 1990 2560 2545\nf 2999 1650 1808\nf 2910 2640 2409\nf 1166 2632 5849\nf 621 598 2343\nf 2979 2546 1616\nf 1887 1970 2619\nf 3827 3443 1837\nf 1889 1840 1722\nf 1911 2628 2910\nf 1868 2616 2870\nf 3085 2994 4321\nf 2644 2693 684\nf 2542 2907 1670\nf 5433 2470 2501\nf 1847 1939 2983\nf 1958 2983 1852\nf 4142 1963 3622\nf 1964 1723 131\nf 1650 2999 1931\nf 597 1710 607\nf 1961 2020 2620\nf 2607 5648 5878\nf 1854 1658 5151\nf 2706 2821 2744\nf 2811 2882 5499\nf 3716 2025 1107\nf 2533 2567 1804\nf 1783 1657 1601\nf 2775 2678 2733\nf 2862 1783 1833\nf 2733 1649 1689\nf 4502 817 2980\nf 2739 2663 2683\nf 2480 2438 1604\nf 5426 5828 5248\nf 2599 1959 2766\nf 2894 2716 2544\nf 1973 1822 2514\nf 1749 1879 1679\nf 1803 2714 2446\nf 3052 2731 2557\nf 6138 5443 1798\nf 2451 1847 2793\nf 2678 2854 5119\nf 1896 2773 2794\nf 1867 2473 2968\nf 2694 5003 1843\nf 4339 2905 5130\nf 4267 2190 1695\nf 2557 2572 3052\nf 2842 1965 1851\nf 2997 1828 2966\nf 4116 1553 1682\nf 2853 2772 1870\nf 689 553 982\nf 1870 2734 1635\nf 1839 2494 2837\nf 2893 2001 3468\nf 4476 4322 1923\nf 2457 2648 5004\nf 2875 5718 2761\nf 2900 1917 1530\nf 2190 559 2873\nf 4810 1994 2471\nf 1663 5575 2702\nf 1787 2585 2985\nf 1997 4932 2534\nf 1931 2408 1908\nf 1931 1908 2629\nf 1824 1884 1717\nf 2938 1704 3194\nf 2429 2975 589\nf 589 558 2429\nf 2716 1751 549\nf 2695 1742 1496\nf 2574 2957 1664\nf 1798 2664 5878\nf 1750 2655 5116\nf 5433 3126 1595\nf 2474 5004 2648\nf 2653 2661 1625\nf 2518 2460 1816\nf 4274 2675 651\nf 1867 2293 1866\nf 2943 1639 2399\nf 652 549 1751\nf 2922 2724 3548\nf 622 1886 4116\nf 4290 1796 3022\nf 2903 2679 2623\nf 2859 368 2591\nf 1754 1988 2946\nf 1926 2586 5117\nf 2759 2688 2553\nf 1590 4282 2931\nf 2912 2998 1804\nf 2961 2410 2448\nf 1678 1829 1612\nf 2552 758 2435\nf 1841 2408 2999\nf 1777 2550 2731\nf 4582 4703 2564\nf 1740 1959 1925\nf 2698 1617 4401\nf 4283 2012 4304\nf 1964 2736 2904\nf 2599 3012 1732\nf 2700 2485 2613\nf 2979 2934 2481\nf 2485 1658 2613\nf 2677 4848 200\nf 5163 2677 1878\nf 1679 1698 2479\nf 1976 2646 2533\nf 1946 1767 1843\nf 2864 5433 3445\nf 2618 2465 1811\nf 1674 4818 3040\nf 2540 2376 1903\nf 2869 2520 1707\nf 1977 2642 2615\nf 3322 2684 5705\nf 2480 1709 2438\nf 2934 1359 2908\nf 2426 1776 2571\nf 712 651 3440\nf 1624 2571 1972\nf 2656 2517 2461\nf 2599 2912 2652\nf 1743 1610 1886\nf 4192 3752 2409\nf 2686 2572 2900\nf 1883 2752 2863\nf 1833 3998 2548\nf 1892 2435 758\nf 1503 1624 1972\nf 2588 1679 2479\nf 1833 1306 3758\nf 5028 1905 3411\nf 1299 2403 1708\nf 1722 2421 2489\nf 4741 4806 4850\nf 5499 2882 3241\nf 2770 1527 2724\nf 3048 1882 2573\nf 1664 2594 2739\nf 2723 3016 1753\nf 4253 2483 2716\nf 597 1598 1710\nf 5007 2848 1559\nf 1656 1699 2590\nf 1889 1738 2774\nf 2900 1812 2686\nf 5649 2477 1850\nf 1165 6123 1805\nf 2552 2482 2484\nf 1656 2590 2824\nf 2802 1951 2020\nf 1368 5689 1480\nf 2874 2437 1761\nf 2938 5119 1638\nf 2695 2697 2455\nf 1900 2719 2575\nf 2685 1777 1824\nf 2800 5007 2438\nf 1576 2560 1990\nf 1288 2602 2116\nf 2458 2623 2679\nf 2457 5004 2619\nf 1864 2489 1832\nf 2706 2744 2515\nf 1713 2575 1545\nf 4476 1598 597\nf 2975 1625 2925\nf 5983 3809 3891\nf 5013 2646 2583\nf 1689 2440 3063\nf 1781 1658 2485\nf 1623 2158 4285\nf 1699 1656 2469\nf 2644 2439 1525\nf 2616 2916 1799\nf 2020 2937 2620\nf 2570 2598 1730\nf 2582 2512 2706\nf 2810 2892 1527\nf 3047 1804 2567\nf 4993 2784 3257\nf 1917 2900 2455\nf 1708 2403 2927\nf 1504 2481 2934\nf 2671 2514 2774\nf 1306 1833 1601\nf 2895 1766 1865\nf 1496 2589 2830\nf 1912 2502 1966\nf 2581 2864 1821\nf 3433 2684 3072\nf 2589 2877 2701\nf 1680 2772 719\nf 1914 1709 1785\nf 1775 1670 1795\nf 2629 1840 1822\nf 559 2190 4267\nf 622 2386 2672\nf 1864 1971 2475\nf 2700 2613 2610\nf 1973 2583 1822\nf 2457 2396 1903\nf 2156 2710 1565\nf 2455 2697 1917\nf 1752 1866 1640\nf 2793 1698 1823\nf 1901 2917 2462\nf 2754 5277 5745\nf 2985 4271 1787\nf 5116 2503 2887\nf 1821 2864 1837\nf 2878 5302 3333\nf 4211 4267 1695\nf 1861 2737 1892\nf 3150 2796 3187\nf 1870 5014 2853\nf 2907 2542 1960\nf 4252 2624 2871\nf 2736 1964 131\nf 3001 2509 2474\nf 1859 2907 2160\nf 1624 1559 2547\nf 2507 2501 2470\nf 5003 2489 2421\nf 2420 1954 2622\nf 2830 1857 2992\nf 2778 1970 1422\nf 1420 2397 3181\nf 2812 1603 2487\nf 2495 2744 2904\nf 2569 2403 1299\nf 5003 1832 2489\nf 1530 1812 2900\nf 3064 1351 4401\nf 1861 2398 1577\nf 2762 1512 2943\nf 2451 1823 1901\nf 1867 1866 2473\nf 2937 2921 1975\nf 5003 2782 1843\nf 3460 598 1543\nf 1737 1980 1734\nf 2735 1620 2768\nf 622 2672 1886\nf 2776 2867 1623\nf 1372 607 1710\nf 1721 1723 2601\nf 2822 3184 1913\nf 1976 2583 2646\nf 2480 2751 2898\nf 558 1948 2429\nf 2014 2828 1820\nf 1930 1659 4221\nf 2544 2743 2649\nf 2517 1737 2611\nf 1794 2493 1940\nf 1815 2605 2757\nf 4973 4561 4848\nf 2496 2640 1948\nf 1964 2904 2601\nf 2572 2760 3052\nf 1598 1923 1996\nf 1525 2439 4211\nf 1686 2610 1858\nf 1239 5334 5023\nf 2765 2605 1299\nf 1372 2698 688\nf 2975 2429 1625\nf 2873 4348 2852\nf 5116 2887 1750\nf 2556 2938 1638\nf 1801 5151 1603\nf 1786 1737 2517\nf 1542 1674 2715\nf 2233 4037 2092\nf 1597 1590 2469\nf 2456 2509 3001\nf 2493 2476 1611\nf 4285 1682 2776\nf 2621 2821 2512\nf 2496 1948 464\nf 1740 1614 1545\nf 1526 1545 1614\nf 1334 2665 4458\nf 5119 2854 1638\nf 3402 2498 2628\nf 2640 1928 2653\nf 2478 2858 2617\nf 1640 2415 2633\nf 2658 1905 2633\nf 2435 1836 2617\nf 1670 1727 2393\nf 1717 1851 1965\nf 1821 1837 3443\nf 1749 2804 3184\nf 1921 1896 2794\nf 1981 2931 3059\nf 3009 2965 2828\nf 1382 2624 3058\nf 1832 1775 1864\nf 2894 2544 2699\nf 1863 2020 1961\nf 1659 1930 1855\nf 2488 3129 1895\nf 1598 1996 1710\nf 1944 3063 2440\nf 2428 1946 1908\nf 1796 131 1910\nf 2734 1707 2520\nf 1981 1699 2469\nf 2403 2523 3051\nf 2758 1546 2647\nf 1957 2699 1667\nf 5259 2593 1140\nf 1977 1925 1959\nf 2659 1672 1939\nf 1862 2670 2898\nf 1797 1962 1858\nf 3133 2980 575\nf 2480 2898 1709\nf 1690 2759 2610\nf 2877 3053 2420\nf 2660 5066 2981\nf 2012 2797 5575\nf 2862 1833 2548\nf 2426 1902 758\nf 1995 2980 2824\nf 2506 2917 4625\nf 4252 2931 4282\nf 1784 2540 1899\nf 1503 2476 2881\nf 1954 2715 2622\nf 5163 1878 4860\nf 4198 4169 947\nf 2611 1915 2461\nf 2655 3009 2553\nf 721 3758 1306\nf 2669 2840 2673\nf 1734 2582 2611\nf 1635 2520 2621\nf 2472 2586 2844\nf 4818 2698 2806\nf 1795 1971 1864\nf 2741 2711 3904\nf 1774 2734 1870\nf 3001 2448 3173\nf 2791 2720 1695\nf 4561 93 4577\nf 2942 2461 1915\nf 4221 3057 1352\nf 4582 2564 1806\nf 3312 2607 3482\nf 1752 1640 2585\nf 1709 2898 1785\nf 4598 2836 68\nf 3717 1853 4025\nf 1646 1874 2635\nf 2191 2703 1727\nf 2950 1938 2565\nf 1422 2620 1975\nf 1830 2546 2601\nf 1717 1858 1962\nf 2014 2553 3009\nf 3453 1825 5026\nf 1684 2488 2753\nf 1515 2491 2386\nf 3059 2658 2633\nf 2864 2470 5433\nf 2582 2645 1915\nf 2805 1804 2998\nf 1757 1781 2067\nf 2938 3194 1649\nf 2617 1971 2478\nf 2594 1611 2801\nf 1733 1873 1960\nf 1959 2587 2766\nf 1884 2731 2700\nf 2759 1797 1858\nf 1842 2720 1857\nf 1645 2495 1856\nf 2570 2319 2598\nf 1525 4211 1842\nf 1980 2712 2674\nf 1935 2691 2478\nf 1978 2957 2574\nf 4348 2643 2852\nf 2856 2397 2438\nf 1526 1614 1708\nf 1938 1760 2565\nf 558 464 1948\nf 2935 1725 2192\nf 2393 1935 1670\nf 1911 2409 3752\nf 2679 2956 2967\nf 2376 1784 2567\nf 4284 1623 608\nf 688 2698 4401\nf 2735 2545 2560\nf 2948 2683 2663\nf 2687 2319 2570\nf 1900 2575 2492\nf 4191 4069 1512\nf 1977 2843 1925\nf 2757 2765 1925\nf 2701 1525 1731\nf 3744 2854 4692\nf 2411 1909 4559\nf 553 1848 2854\nf 2190 2779 1695\nf 4204 4692 2678\nf 87 2803 2892\nf 2980 2627 4502\nf 3752 1293 1911\nf 2741 3904 1898\nf 2687 1940 1920\nf 4323 672 1829\nf 1746 2766 2587\nf 1973 2514 1916\nf 1893 2319 2649\nf 1526 2711 1713\nf 1887 1924 2844\nf 1568 2647 3181\nf 2796 5330 5889\nf 3375 1929 2651\nf 2946 1359 1029\nf 2806 3040 4818\nf 1597 2469 1656\nf 2656 2474 2509\nf 2968 2874 1867\nf 1615 2825 1894\nf 2518 2535 2693\nf 1742 3053 1496\nf 1963 1893 2743\nf 1817 2614 4466\nf 2760 2572 1405\nf 2724 2892 2803\nf 1650 1822 1976\nf 1854 2613 1658\nf 1935 2393 2691\nf 2506 2454 2450\nf 1681 2968 2626\nf 3048 2482 2552\nf 1905 2585 2633\nf 2878 2882 5302\nf 3402 2459 3375\nf 1792 2012 5575\nf 1827 2865 1893\nf 1629 2558 2975\nf 1830 2601 2904\nf 2978 3574 694\nf 1352 2159 1060\nf 2463 2691 2393\nf 5426 3328 5828\nf 2703 2630 1727\nf 4290 3784 1796\nf 1577 1839 3173\nf 2674 1734 1980\nf 2934 2908 1504\nf 2706 2515 2645\nf 2778 2396 1970\nf 3060 1760 1938\nf 2589 1496 3053\nf 2641 1841 2999\nf 2629 2421 1840\nf 1677 2880 1895\nf 2472 1645 2586\nf 2640 2910 1928\nf 2355 2448 2410\nf 2825 2723 1894\nf 2545 2771 2722\nf 2907 1960 2604\nf 1795 1864 1775\nf 2937 2020 1951\nf 1789 1809 1787\nf 2747 1704 2556\nf 2492 1898 4280\nf 2634 1405 2686\nf 2580 1920 1940\nf 2821 2621 1955\nf 2739 2801 2663\nf 1778 1955 1616\nf 2926 1420 3181\nf 2653 2850 2661\nf 1610 1504 1890\nf 2652 2912 3047\nf 1670 1935 1795\nf 2011 2724 2803\nf 1503 2881 2713\nf 1821 3443 3136\nf 2606 2927 4138\nf 1936 3156 4366\nf 1938 2950 2417\nf 1882 1510 1620\nf 4219 2899 608\nf 2458 1895 2880\nf 4993 4070 2784\nf 2760 1781 2485\nf 2435 1892 1807\nf 2806 1710 1996\nf 1737 1768 1980\nf 2629 1822 1650\nf 2942 2844 1924\nf 4339 4204 2775\nf 5642 5709 1315\nf 1563 1848 689\nf 4221 2880 3444\nf 2355 1861 1577\nf 2540 1903 2396\nf 4406 2660 5021\nf 2967 2810 2753\nf 3555 3056 589\nf 2957 2603 1664\nf 2687 2649 2319\nf 3303 2477 5419\nf 1862 2751 1730\nf 3016 1672 2446\nf 1826 2877 2622\nf 3221 2535 4322\nf 2857 2894 2699\nf 1646 1576 2895\nf 1814 2562 1966\nf 1826 2460 2518\nf 1421 2639 5754\nf 2768 2463 2393\nf 3047 2567 1784\nf 5277 2754 1451\nf 2857 1563 1751\nf 4274 1952 3925\nf 1959 2652 1977\nf 1742 2609 3053\nf 1851 1657 2842\nf 2931 1981 1590\nf 4848 4829 4973\nf 2829 2762 1814\nf 2629 2782 2421\nf 2487 1603 2554\nf 2450 1860 2462\nf 1766 2584 1865\nf 2191 1859 2160\nf 2546 1721 2601\nf 1678 1612 1877\nf 1958 1847 2983\nf 5795 2639 1165\nf 2594 1667 2580\nf 3992 4006 3805\nf 1930 2853 5014\nf 2507 1629 1868\nf 1530 1917 2534\nf 1721 1875 1723\nf 2736 1934 1856\nf 2534 2449 1997\nf 1988 1754 608\nf 1828 2670 1612\nf 2732 1865 2584\nf 1955 2520 2869\nf 2555 5745 5330\nf 1896 1681 2347\nf 5445 5878 2664\nf 2622 2460 1826\nf 1959 1740 2587\nf 1624 1503 2713\nf 3184 2822 2563\nf 1674 2460 2715\nf 5004 2474 2631\nf 2437 2874 2722\nf 1615 1699 1981\nf 1576 1990 2895\nf 1879 1997 1922\nf 4304 1792 4070\nf 1729 2571 2465\nf 1629 2581 2849\nf 1299 1708 1614\nf 3047 1784 2642\nf 2430 5116 2688\nf 2759 1858 2610\nf 1722 1840 2421\nf 1875 3022 1910\nf 1725 2935 2674\nf 2738 2587 1740\nf 3022 1875 1743\nf 2765 2757 2605\nf 2550 2557 2731\nf 2865 2598 2319\nf 1645 2515 2495\nf 2736 2530 1934\nf 5878 5445 2607\nf 1383 1724 2343\nf 1200 3440 651\nf 3175 2777 1363\nf 1512 2762 3085\nf 1801 2887 2503\nf 689 652 1563\nf 1778 2744 2821\nf 1803 2873 2714\nf 1107 3513 3998\nf 5655 2654 5328\nf 2998 1732 2539\nf 2961 2448 3001\nf 1635 2621 2192\nf 6029 2593 3544\nf 1657 1783 1741\nf 1890 1553 1886\nf 212 1878 200\nf 2651 2850 1928\nf 2487 1946 2428\nf 2703 2768 2630\nf 1847 2451 1885\nf 2457 2619 2396\nf 2733 5119 1649\nf 1811 2482 2573\nf 3574 5010 2965\nf 1749 3184 1879\nf 2825 1615 2983\nf 1665 292 5056\nf 1186 3222 2860\nf 2935 2582 1734\nf 3016 2446 2714\nf 5014 1855 1930\nf 4810 1601 1657\nf 1787 2994 1789\nf 2457 1903 1941\nf 2483 2743 2544\nf 2994 1787 4271\nf 1690 2610 2613\nf 2765 1299 1614\nf 1852 1866 2293\nf 1750 2761 2655\nf 1684 2510 2797\nf 2530 2736 131\nf 2830 1731 1857\nf 2821 1955 1778\nf 2857 1957 2747\nf 1862 1612 2670\nf 1378 5300 3316\nf 3474 1543 598\nf 2651 1928 2498\nf 3667 2705 3758\nf 2905 2399 1639\nf 1785 3548 1914\nf 1801 2503 5151\nf 3246 2792 3150\nf 2514 2671 1916\nf 2552 2435 2617\nf 4625 1917 2697\nf 1512 4069 1639\nf 2067 2604 1960\nf 3445 1595 5073\nf 2908 2867 1504\nf 2797 2012 4283\nf 1797 2014 1994\nf 3512 1349 4414\nf 2577 2946 1029\nf 1672 3016 2723\nf 3051 2927 2403\nf 3267 4150 3744\nf 2385 1422 1970\nf 1902 2547 2780\nf 1603 1757 2554\nf 2510 2525 2702\nf 2926 1786 4585\nf 1625 2429 1948\nf 2857 2556 1563\nf 2495 2904 1856\nf 2738 1740 1545\nf 2067 1873 2554\nf 3300 1389 3225\nf 2471 1820 1942\nf 1527 2525 2753\nf 1944 1966 2562\nf 1824 1965 2685\nf 1510 3048 2691\nf 2931 4252 2658\nf 2603 2747 1957\nf 1722 1813 1889\nf 2594 1957 1667\nf 1727 1670 1859\nf 2846 2519 3752\nf 1656 2824 3133\nf 1813 2737 1738\nf 4810 1942 1306\nf 2723 1753 2590\nf 1896 1921 1681\nf 1859 1670 2907\nf 4304 2710 4283\nf 1672 2723 2825\nf 2627 2852 2643\nf 2802 1863 2625\nf 100 2445 4958\nf 4676 1815 1951\nf 3129 1684 598\nf 1894 2590 1699\nf 1498 1604 2881\nf 2695 2685 1742\nf 1576 1882 2560\nf 2881 2947 1498\nf 2347 2502 1896\nf 2757 1925 2843\nf 2478 2691 2858\nf 1940 2687 1794\nf 2454 2506 2416\nf 5983 2568 2233\nf 1656 3133 1597\nf 1913 3184 2804\nf 1884 1824 2731\nf 2689 2343 1724\nf 2355 1738 2737\nf 2695 1496 2697\nf 1695 1842 4211\nf 3130 1770 1555\nf 3053 2877 2589\nf 2606 3551 2711\nf 2748 1725 1574\nf 1659 2623 2458\nf 2737 2595 1807\nf 1405 2634 2160\nf 1973 5013 2583\nf 2656 2764 2474\nf 2426 2547 1902\nf 2558 589 2975\nf 1342 1798 5648\nf 1960 2542 1733\nf 1060 2772 2853\nf 1680 1029 1774\nf 2931 2658 3059\nf 1794 2947 2493\nf 4138 3551 2606\nf 2679 1895 2458\nf 2487 1767 1946\nf 1863 1934 2530\nf 4466 2614 1947\nf 2459 1929 3375\nf 1657 1741 2842\nf 1914 1600 1568\nf 2948 2663 1729\nf 2641 2516 1841\nf 2611 2461 2517\nf 4611 2717 1491\nf 1899 1975 2615\nf 1854 1690 2613\nf 2670 1828 1785\nf 2896 2559 3126\nf 1498 2751 2480\nf 1832 1733 1775\nf 2456 3001 3173\nf 1749 2447 2804\nf 2938 1649 5119\nf 2880 1659 2458\nf 1752 1809 2473\nf 2450 2720 2791\nf 1809 2626 2473\nf 2922 2997 2770\nf 2409 2496 4192\nf 3322 1363 2777\nf 1611 1940 2493\nf 4261 2577 1214\nf 5066 3221 2981\nf 3173 4585 2456\nf 2520 1635 2734\nf 2771 2545 2735\nf 2557 2900 2572\nf 2487 1817 2812\nf 3998 1833 3758\nf 2748 5014 1881\nf 684 5066 3511\nf 1577 3173 2448\nf 2850 2651 5718\nf 3622 2483 4253\nf 2943 1512 1639\nf 2160 2604 2760\nf 1829 3257 1612\nf 1856 5117 1645\nf 1293 694 2628\nf 621 2343 2689\nf 1890 1886 1610\nf 2825 2983 1939\nf 2480 1604 1498\nf 2732 2574 2683\nf 1757 5151 1658\nf 2563 4932 3184\nf 2472 2942 2515\nf 4221 1060 1930\nf 4831 2836 3204\nf 394 3461 3222\nf 2925 1625 2661\nf 1792 1663 2784\nf 2911 4219 4261\nf 3667 2717 1499\nf 3034 1602 2911\nf 1663 2770 2997\nf 2997 1785 1828\nf 3440 2950 131\nf 2483 1963 2743\nf 2489 1864 2475\nf 1946 1843 1908\nf 1809 1789 2626\nf 4676 2565 1760\nf 1803 2690 2779\nf 2111 5334 3351\nf 3706 3891 3837\nf 1898 2575 1713\nf 2782 1908 1843\nf 1512 3085 4191\nf 493 4414 1349\nf 2670 1785 2898\nf 6029 5328 3394\nf 1820 2471 1994\nf 2530 2625 1863\nf 2111 351 4665\nf 4138 3225 748\nf 2559 2539 5073\nf 3784 712 3440\nf 2797 4283 2001\nf 1965 2842 2609\nf 2454 2992 1857\nf 2588 1761 2437\nf 2470 2864 2581\nf 1832 2694 1733\nf 1867 1761 2293\nf 2539 2559 1745\nf 589 2558 3555\nf 1777 2455 2550\nf 1723 1910 131\nf 1865 1874 1646\nf 1797 2553 2014\nf 3022 1743 2672\nf 2479 2293 1761\nf 1948 2640 1625\nf 1886 2672 1743\nf 2895 1865 1646\nf 3257 2966 1828\nf 2875 2863 2752\nf 2999 1808 2641\nf 1803 2779 2190\nf 1890 1504 2867\nf 1659 1855 2623\nf 5010 1820 2828\nf 2796 5889 1177\nf 1836 2475 1971\nf 2686 2563 2634\nf 2917 1901 1823\nf 1576 2573 1882\nf 2539 2516 2998\nf 1530 2534 4932\nf 2690 2446 2659\nf 1698 1679 1922\nf 1887 2631 1924\nf 598 621 3129\nf 2752 1799 2875\nf 3134 4323 1678\nf 2447 1749 2588\nf 4290 2672 2386\nf 2492 4280 3827\nf 1842 1731 1525\nf 2975 2925 1629\nf 2674 1574 1725\nf 2722 2874 1921\nf 3047 2912 1804\nf 1877 1612 1862\nf 3411 2658 4252\nf 1828 1612 3257\nf 2465 2618 2635\nf 2678 2775 4204\nf 2550 2455 2900\nf 2595 2737 1813\nf 2713 2881 1604\nf 2496 2409 2640\nf 1931 2999 2408\nf 1689 3063 2943\nf 1635 2192 1881\nf 1623 1988 608\nf 1926 2385 2586\nf 5116 2430 2503\nf 3553 3133 575\nf 5014 2748 1855\nf 2701 2866 2644\nf 4401 1617 3513\nf 3225 4138 2927\nf 1646 2635 2618\nf 1510 2691 2463\nf 2772 1680 1774\nf 2461 1924 2764\nf 2855 719 3455\nf 2534 4625 2449\nf 3052 2700 2731\nf 2415 3059 2633\nf 2720 2450 2454\nf 1995 2824 1753\nf 2430 1854 2503\nf 1947 2614 1841\nf 2773 2502 1766\nf 1577 2398 1839\nf 2751 1498 2947\nf 4598 202 2836\nf 2647 2011 2803\nf 1898 1713 2741\nf 2797 2510 5575\nf 2506 2462 2917\nf 3574 962 5010\nf 2642 1784 1899\nf 2602 2607 5445\nf 4401 2412 3064\nf 2649 2743 1893\nf 131 2625 2530\nf 1829 672 3257\nf 2862 1617 4818\nf 2594 1664 1957\nf 1885 1901 2010\nf 2895 2794 2773\nf 1343 3316 5374\nf 2761 5718 2655\nf 1966 1944 1912\nf 2507 2870 2501\nf 2465 2635 2948\nf 1914 2856 1709\nf 1725 1881 2192\nf 1754 2946 2577\nf 2420 2842 1954\nf 5014 1870 1881\nf 1830 1616 2546\nf 1722 2595 1813\nf 2671 2774 2410\nf 1601 1833 1783\nf 2683 1874 2732\nf 2852 2714 2873\nf 4893 200 4721\nf 1107 2412 3513\nf 2675 3060 1200\nf 2895 2773 1766\nf 4829 2721 4901\nf 2739 2683 2574\nf 1962 1797 1994\nf 4218 1590 1597\nf 2529 2896 3126\nf 1961 2620 1926\nf 1873 1733 2694\nf 2947 1794 1730\nf 3009 2655 2459\nf 2935 2192 2512\nf 2801 2845 2663\nf 1674 3040 2460\nf 2627 1995 2852\nf 3507 2711 3551\nf 1660 2643 3423\nf 2641 2998 2516\nf 1681 1921 2968\nf 2494 2848 2837\nf 2611 2582 1915\nf 3484 1927 5422\nf 2116 1573 5717\nf 1695 2720 1842\nf 1814 1789 2829\nf 1898 2492 2575\nf 1796 1910 3022\nf 2907 2604 2160\nf 4993 3393 3161\nf 2947 2881 2493\nf 2539 1745 2516\nf 2752 1883 2841\nf 2644 1525 2701\nf 1816 1996 1923\nf 1734 2674 2935\nf 2482 1811 2484\nf 1768 1737 2926\nf 2693 2644 2866\nf 1680 719 1214\nf 2634 2822 2191\nf 2560 1620 2735\nf 2627 2643 4502\nf 1862 2898 2751\nf 1995 3016 2714\nf 4676 1951 2565\nf 2552 2858 3048\nf 2804 2486 1913\nf 3998 3758 2705\nf 2408 1841 2614\nf 2716 2894 1751\nf 1863 2802 2020\nf 1842 1857 1731\nf 2552 2484 758\nf 1734 2611 1737\nf 2517 2656 2509\nf 2732 1874 1865\nf 4142 3134 1827\nf 2896 2529 2752\nf 1844 1822 1840\nf 1774 1870 2772\nf 4218 1597 818\nf 1553 4116 1886\nf 2722 1990 2545\nf 3300 1671 4274\nf 2648 1916 2671\nf 1839 2398 2494\nf 1595 3126 2559\nf 1629 2849 2558\nf 1978 2584 2427\nf 3129 621 1677\nf 1902 2780 758\nf 2010 2462 1860\nf 2111 1502 351\nf 1823 1698 1922\nf 3225 3051 1671\nf 1850 5300 3071\nf 1616 2869 2979\nf 1615 1981 3059\nf 2355 2410 1738\nf 4262 2709 5047\nf 2859 2591 1293\nf 5013 1941 1903\nf 2943 2399 1689\nf 2937 1975 2620\nf 962 721 1942\nf 2615 2843 1977\nf 2671 2410 2961\nf 1976 1808 1650\nf 2803 87 2758\nf 1686 1858 1717\nf 2778 2540 2396\nf 3016 1995 1753\nf 1816 1923 2518\nf 2846 3752 4192\nf 2876 1789 1814\nf 3012 1746 3445\nf 5411 2555 3030\nf 2494 2398 2576\nf 2523 2403 2569\nf 2732 1978 2574\nf 2647 2803 2758\nf 2607 2602 3482\nf 2523 2569 1760\nf 2494 2576 2848\nf 2805 2998 2641\nf 1892 2780 1861\nf 5028 4271 2985\nf 1752 2473 1866\nf 1674 1542 4818\nf 5935 5302 1505\nf 2355 1577 2448\nf 2609 2420 3053\nf 1778 2904 2744\nf 2880 1677 3444\nf 2857 2747 2556\nf 2553 1797 2759\nf 2917 1823 1922\nf 2625 2950 2802\nf 1862 1730 2598\nf 2780 2398 1861\nf 2479 1958 2293\nf 2688 2759 1690\nf 2775 2905 4339\nf 2761 1750 2863\nf 4559 3156 2500\nf 2427 1912 1944\nf 4553 426 4866\nf 5648 2607 6075\nf 2678 5119 2733\nf 2067 1960 1873\nf 2001 3474 1684\nf 2376 2646 5013\nf 2753 2510 1684\nf 3555 2558 2849\nf 2722 1921 2794\nf 3411 1905 2658\nf 2805 1808 2533\nf 2921 1815 2843\nf 1801 1603 2812\nf 4221 1659 2880\nf 688 607 1372\nf 1823 2451 2793\nf 2523 3060 2675\nf 2768 1620 2463\nf 2773 1896 2502\nf 5330 5745 3313\nf 2594 2801 2739\nf 3240 5248 3087\nf 4192 2496 464\nf 292 1909 2991\nf 2801 2476 2845\nf 3316 5300 5374\nf 1505 5302 2882\nf 1677 1895 3129\nf 5003 2421 2782\nf 2863 2875 2761\nf 1830 2904 1778\nf 1422 2385 1926\nf 4290 3022 2672\nf 2775 2733 2399\nf 1889 1844 1840\nf 2732 2584 1978\nf 3474 2893 1194\nf 1781 2760 2604\nf 2857 2699 1957\nf 2896 1745 2559\nf 2800 2837 2848\nf 3222 1186 1770\nf 2719 2864 3445\nf 2598 2865 1877\nf 2588 2479 1761\nf 2459 2655 1929\nf 3194 2750 2440\nf 1167 2792 1550\nf 2466 1876 450\nf 2683 2948 1874\nf 2908 1359 2946\nf 2440 2750 2427\nf 2910 2498 1928\nf 1852 2415 1640\nf 1804 2805 2533\nf 2609 1742 2685\nf 2876 1814 2347\nf 1553 2776 1682\nf 2714 2852 1995\nf 553 689 1848\nf 1515 2386 1069\nf 2870 2616 1799\nf 1912 1766 2502\nf 560 1825 3453\nf 2921 2937 1815\nf 1741 1542 2715\nf 5300 1850 2477\nf 5923 1927 1537\nf 2535 2518 1923\nf 2647 1568 1600\nf 4283 3468 2001\nf 2791 2779 1860\nf 1576 2618 2573\nf 5013 1903 2376\nf 1294 2425 4322\nf 1971 1795 2478\nf 2824 2980 3133\nf 1422 1975 2778\nf 2415 2983 1615\nf 1939 1672 2825\nf 2687 2570 1794\nf 2848 2576 2547\nf 3248 3211 5689\nf 3194 1689 1649\nf 3052 2485 2700\nf 2734 1774 1029\nf 2529 2501 2870\nf 1684 3129 2488\nf 1383 2343 3460\nf 2858 2691 3048\nf 2594 2580 1611\nf 1574 2623 2748\nf 2751 2947 1730\nf 2544 2716 2483\nf 1912 2427 2584\nf 1885 2010 2659\nf 2631 2764 1924\nf 815 2233 4104\nf 2599 2652 1959\nf 2493 2881 2476\nf 1881 1870 1635\nf 1824 1717 1965\nf 2319 1893 2865\nf 1610 1875 1721\nf 1990 2794 2895\nf 4182 2422 1199\nf 2560 1882 1620\nf 962 2717 721\nf 2720 2454 1857\nf 2660 2981 2944\nf 1926 5117 1961\nf 2778 1899 2540\nf 2956 2903 6120\nf 1777 2731 1824\nf 2869 1616 1955\nf 1615 3059 2415\nf 2409 1911 2910\nf 1826 2701 2877\nf 2917 1922 2449\nf 5000 3034 588\nf 2876 1681 2626\nf 1740 1925 2765\nf 2677 4829 4848\nf 2472 2515 1645\nf 1751 1563 652\nf 3402 2965 2459\nf 2873 1803 2190\nf 5117 1856 1934\nf 2856 2438 1709\nf 2487 2428 1817\nf 1852 2293 1958\nf 1617 2698 4818\nf 3351 5334 1239\nf 2655 2688 5116\nf 5445 2116 2602\nf 2965 3009 2459\nf 902 2568 3706\nf 2937 1951 1815\nf 155 4582 4449\nf 2428 1908 2408\nf 3064 2025 5016\nf 2599 2766 3012\nf 1710 2806 1372\nf 2747 2603 1704\nf 1923 4322 2535\nf 1958 2479 2793\nf 2764 2631 2474\nf 1617 2862 2548\nf 3296 2519 2846\nf 5117 1934 1961\nf 2484 1776 2426\nf 1315 5709 3484\nf 2634 2563 2822\nf 5760 2792 1167\nf 1979 1817 4466\nf 2735 2486 2771\nf 2645 2582 2706\nf 1598 4476 1923\nf 3445 5073 3012\nf 3667 1853 2705\nf 2862 4818 1542\nf 1955 2621 2520\nf 5334 2709 4320\nf 2412 1107 2025\nf 1851 1717 1962\nf 2758 1768 1546\nf 1887 2844 2385\nf 1873 2694 1767\nf 2621 2512 2192\nf 3402 2628 694\nf 2626 2968 2473\nf 2529 2870 1799\nf 2735 2768 2486\nf 1640 2633 2585\nf 5774 1805 3524\nf 4219 2911 2899\nf 1776 2484 1811\nf 2908 2946 1988\nf 1964 2601 1723\nf 1686 1717 1884\nf 1708 2927 2606\nf 1553 1890 2776\nf 2629 1650 1931\nf 1889 1813 1738\nf 1973 1941 5013\nf 1698 2793 2479\nf 1690 2430 2688\nf 1060 2853 1930\nf 2712 87 6120\nf 2724 1600 3548\nf 2463 1620 1510\nf 5073 2539 1732\nf 1980 1768 2712\nf 1545 1526 1713\nf 1721 2546 2481\nf 1809 1752 1787\nf 2942 1915 2645\nf 2447 2722 2771\nf 1530 4932 1812\nf 2804 2771 2486\nf 5433 1595 3445\nf 2934 1707 1359\nf 2625 131 2950\nf 1527 2753 2810\nf 2427 1944 2440\nf 2645 2515 2942\nf 2659 2010 2690\nf 1817 2428 2614\nf 2722 2794 1990\nf 3048 2573 2482\nf 2737 1807 1892\nf 2456 1786 2509\nf 719 2772 2159\nf 2547 1559 2848\nf 2994 4271 4321\nf 2495 2515 2744\nf 3464 3322 5411\nf 2770 2525 1527\nf 2800 2397 2837\nf 1860 2690 2010\nf 2829 2994 3085\nf 2748 1881 1725\nf 2802 2565 1951\nf 2465 2948 1729\nf 87 2810 2956\nf 549 4253 2716\nf 2753 2488 2967\nf 1766 1912 2584\nf 2420 2622 2877\nf 3440 2417 2950\nf 2447 2437 2722\nf 5334 4665 2709\nf 1730 1794 2570\nf 1976 2533 1808\nf 2555 5411 2754\nf 200 4848 4721\nf 2700 2610 1686\nf 1816 3040 1996\nf 2870 2507 1868\nf 2770 2724 2922\nf 3402 3574 2965\nf 3784 2491 1700\nf 2615 1975 2921\nf 2674 2712 6120\nf 1757 1603 5151\nf 1821 3136 2849\nf 1836 1807 2595\nf 1604 5007 2713\nf 2706 2512 2821\nf 2544 1667 2699\nf 1851 1962 4810\nf 2640 2653 1625\nf 1727 1859 2191\nf 1741 1783 1542\nf 2449 1922 1997\nf 2829 1789 2994\nf 1610 1721 2481\nf 1905 5028 2985\nf 3460 1543 3457\nf 2800 2848 5007\nf 2966 2784 1663\nf 1542 1783 2862\nf 2997 2966 1663\nf 3555 2849 3136\nf 1905 2985 2585\nf 4765 2840 501\nf 5092 691 426\nf 2642 1977 2652\nf 2563 1812 4932\nf 1574 2903 2623\nf 2771 2804 2447\nf 2583 1976 1822\nf 1973 1916 1941\nf 1863 1961 1934\nf 4280 1898 3904\nf 1285 1451 2777\nf 2910 2628 2498\nf 2595 2475 1836\nf 2775 2399 2905\nf 1862 2598 1877\nf 1954 2842 1741\nf 2631 2619 5004\nf 2648 1941 1916\nf 1750 2887 1883\nf 5047 4665 5054\nf 2715 1954 1741\nf 3034 2911 4261\nf 2916 2616 2661\nf 2765 1614 1740\nf 3375 2651 2498\nf 1504 1610 2481\nf 2957 2750 1704\nf 1875 1610 1743\nf 2385 2844 2586\nf 3133 818 1597\nf 4321 4191 3085\nf 2876 2626 1789\nf 2649 2687 1920\nf 2586 1645 5117\nf 4625 2416 2506\nf 2486 2768 1913\nf 2719 1746 2738\nf 2957 1704 2603\nf 3752 2519 1293\nf 1887 2619 2631\nf 1776 2465 2571\nf 1979 2812 1817\nf 1749 1679 2588\nf 2615 2921 2843\nf 2738 2575 2719\nf 2703 1913 2768\nf 3513 2548 3998\nf 4860 1878 125\nf 2791 1860 2450\nf 3267 3744 4692\nf 1768 2926 1546\nf 1884 2700 1686\nf 1889 2774 1844\nf 2565 2802 2950\nf 1899 2778 1975\nf 1777 2685 2695\nf 1894 2723 2590\nf 1966 2347 1814\nf 2948 2635 1874\nf 1879 4932 1997\nf 817 575 2980\nf 2548 3513 1617\nf 1887 2385 1970\nf 1901 1885 2451\nf 2908 1988 2867\nf 1151 5186 1218\nf 1707 2979 2869\nf 2805 2641 1808\nf 2576 2780 2547\nf 1729 2663 2845\nf 1899 2615 2642\nf 1963 2483 3622\nf 4449 4530 657\nf 2355 2737 1861\nf 4150 982 553\nf 1792 4304 2012\nf 2894 2857 1751\nf 1981 2469 1590\nf 1792 5575 1663\nf 2934 2979 1707\nf 1847 1885 1939\nf 1657 1851 4810\nf 3009 2828 2014\nf 1827 1963 4142\nf 1920 2544 2649\nf 2457 1941 2648\nf 2694 1832 5003\nf 1372 2806 2698\nf 1729 1972 2571\nf 3051 3225 2927\nf 1883 2863 1750\nf 4437 2564 2669\nf 691 1353 426\nf 1879 3184 4932\nf 2604 2067 1781\nf 3470 5152 3469\nf 3161 1593 1726\nf 2860 3827 3013\nf 4339 5130 3127\nf 3056 1513 2665\nf 3555 3136 3461\nf 5023 3551 4138\nf 5028 3411 3552\nf 4692 4204 3824\nf 3060 1938 2417\nf 1069 4984 1515\nf 1387 2972 4197\nf 4262 3507 4320\nf 1559 2713 5007\nf 1398 3925 1952\nf 2159 3455 719\nf 1324 501 3137\nf 3926 2504 1398\nf 3373 1566 2820\nf 4153 380 1386\nf 970 3926 1700\nf 3474 2001 2893\nf 4435 4653 4241\nf 2156 3468 2710\nf 3134 2865 1827\nf 2978 694 2591\nf 5709 5316 3484\nf 1820 1994 2014\nf 4582 1806 334\nf 1499 4025 3667\nf 2915 5299 5890\nf 1435 1433 2996\nf 1599 2984 3079\nf 1534 3098 1533\nf 2095 5498 3182\nf 6096 3140 3071\nf 3140 5649 1850\nf 5437 5676 1243\nf 3236 3182 1547\nf 5765 5721 5355\nf 5304 1036 5449\nf 2109 5034 3374\nf 6082 5430 2109\nf 3027 597 1454\nf 3013 4110 1186\nf 3064 2412 2025\nf 684 3221 5066\nf 3027 1294 4476\nf 1724 1188 2689\nf 2787 559 2666\nf 1349 3512 1580\nf 5020 4211 2960\nf 3902 4990 722\nf 4211 5020 4153\nf 2859 1293 2519\nf 2175 2167 5935\nf 748 1160 1239\nf 3054 3076 5948\nf 2872 1523 1406\nf 3423 4348 2787\nf 3296 1328 2859\nf 5000 627 5153\nf 2940 4502 1660\nf 963 2150 3877\nf 4143 3411 4252\nf 1653 1268 2879\nf 4191 2872 1406\nf 3554 3754 4271\nf 4485 2006 4578\nf 4993 3257 672\nf 2689 3444 621\nf 1575 1108 3575\nf 5019 340 1880\nf 1676 1675 3127\nf 4304 1565 2710\nf 1267 1770 1186\nf 3068 2170 3350\nf 2170 3623 3350\nf 2767 4765 627\nf 4261 2855 1442\nf 3460 3457 1383\nf 4982 2411 2436\nf 228 1492 2823\nf 4283 2710 3468\nf 2784 4070 1792\nf 1551 2914 2982\nf 1810 2827 5447\nf 3011 2785 3261\nf 3328 3260 2826\nf 5990 3284 6118\nf 1435 2996 3103\nf 1419 3367 1606\nf 5412 5833 3315\nf 5662 954 3893\nf 5333 3877 5032\nf 953 963 1417\nf 4161 3089 1092\nf 701 571 5170\nf 458 2808 5139\nf 1969 113 321\nf 3724 3580 3169\nf 1632 4771 32\nf 374 330 1441\nf 3209 2170 141\nf 3623 268 3350\nf 1398 393 3925\nf 4485 2551 2006\nf 2587 2738 1746\nf 4625 2534 1917\nf 2855 4261 1214\nf 4501 3441 3070\nf 1536 3441 4501\nf 4458 2665 2526\nf 2585 1787 1752\nf 1293 2628 1911\nf 254 4533 4751\nf 1390 3542 2818\nf 430 392 4663\nf 4994 2988 1763\nf 5000 1602 3034\nf 1558 1557 2527\nf 5045 423 1644\nf 1387 2158 3451\nf 3456 1326 228\nf 3423 1150 1660\nf 722 1327 1326\nf 2666 3902 2787\nf 2787 3902 722\nf 1387 4994 4214\nf 1069 622 3373\nf 4406 4408 2434\nf 1700 1592 3784\nf 1499 4611 1158\nf 1285 2777 3175\nf 2941 5115 5790\nf 5179 4957 915\nf 408 3754 4638\nf 1536 4501 1653\nf 4214 4994 1682\nf 4709 4439 467\nf 1602 5000 5153\nf 4477 588 1442\nf 1352 3701 3455\nf 4274 651 1952\nf 1580 3512 4134\nf 3300 4274 3068\nf 3575 1230 1454\nf 1433 5872 5488\nf 3118 2121 1562\nf 1395 3031 5233\nf 1077 3499 3415\nf 5627 3793 6139\nf 1007 1122 2152\nf 1219 5954 3286\nf 1101 1180 1035\nf 2949 2083 5408\nf 3509 989 5310\nf 5821 1280 997\nf 5333 963 3877\nf 1417 963 5333\nf 2930 161 4208\nf 5216 2380 3866\nf 569 5122 3062\nf 4738 4647 123\nf 377 326 4898\nf 417 4746 81\nf 4959 4743 4724\nf 4936 2400 1967\nf 5046 40 7\nf 4841 4607 157\nf 40 2522 1152\nf 3925 3068 4274\nf 4190 4600 2749\nf 4280 1569 3013\nf 4320 3507 3551\nf 393 427 3209\nf 1796 3784 3440\nf 4984 1069 2820\nf 1324 3459 5153\nf 372 588 1385\nf 3904 4262 1569\nf 435 4998 1762\nf 3701 1188 4998\nf 3017 4725 2650\nf 3455 435 3386\nf 464 1536 1653\nf 4214 1682 4285\nf 3667 3758 721\nf 3027 4476 597\nf 4153 4267 4211\nf 1660 4502 2643\nf 517 1261 4151\nf 2929 1523 341\nf 228 4691 3371\nf 3371 4691 232\nf 3423 722 1150\nf 780 1386 4365\nf 1327 1384 3220\nf 4990 3902 780\nf 4348 3423 2643\nf 930 4153 1386\nf 2871 4143 4252\nf 818 3553 1661\nf 1120 4321 3754\nf 2528 2638 258\nf 5016 1108 1575\nf 4503 4323 3134\nf 3027 4112 1294\nf 5016 3108 431\nf 1589 1351 1575\nf 4077 1009 6033\nf 2062 2032 693\nf 4829 4901 4973\nf 3215 5817 5476\nf 3164 5839 2251\nf 5436 5573 5513\nf 6074 3410 3335\nf 2796 3150 5330\nf 5789 1245 3119\nf 3482 5461 3312\nf 3533 5273 6146\nf 5616 3611 5268\nf 1511 3942 3529\nf 3789 5254 3663\nf 5535 1075 3593\nf 5926 5466 5254\nf 1027 2306 5940\nf 5548 5497 2118\nf 3802 2183 1046\nf 1448 638 4097\nf 4022 4301 4128\nf 4230 4135 2373\nf 3903 3917 3830\nf 1508 710 541\nf 2279 4330 5038\nf 348 4892 1436\nf 4043 4044 3984\nf 2030 4225 5169\nf 438 4971 4684\nf 4302 2005 210\nf 36 1728 419\nf 3024 4536 4426\nf 4661 4511 104\nf 445 708 4228\nf 4901 4775 4831\nf 121 4910 33\nf 220 224 149\nf 149 4645 4718\nf 256 1984 5050\nf 3353 2358 1287\nf 5048 3138 3515\nf 3824 878 3267\nf 5048 409 1880\nf 2888 3227 1492\nf 1490 4483 2891\nf 3369 3441 1536\nf 2657 543 4976\nf 3474 1194 1543\nf 3013 1186 2860\nf 1622 3061 631\nf 1700 1515 970\nf 4797 4514 399\nf 4716 430 4557\nf 1602 2899 2911\nf 627 1324 5153\nf 588 4477 1385\nf 2650 374 1441\nf 2893 3468 1119\nf 2579 323 2578\nf 1119 3468 4642\nf 2156 3470 3469\nf 2893 1119 1194\nf 3451 4284 3459\nf 2991 5056 292\nf 4845 285 4722\nf 1763 4116 1682\nf 3515 1628 409\nf 4737 1880 409\nf 5049 1675 1628\nf 4290 2386 2491\nf 1880 340 5048\nf 1492 2958 2823\nf 1266 3442 3058\nf 651 712 1952\nf 3904 3507 4262\nf 464 1653 2879\nf 265 3174 1800\nf 3667 721 2717\nf 207 3174 265\nf 302 4866 134\nf 353 5026 3449\nf 4690 4796 267\nf 5029 3803 5695\nf 2061 3661 3595\nf 1630 5909 2113\nf 3590 2090 5349\nf 2079 3153 1654\nf 2121 5289 5296\nf 3077 2906 5447\nf 3484 5422 5639\nf 2878 3241 2882\nf 5911 2920 3483\nf 5520 6000 6122\nf 3258 703 4118\nf 3170 2307 4251\nf 3254 1450 3289\nf 2336 5576 3086\nf 3261 5596 2728\nf 3086 5739 5496\nf 3207 3203 3326\nf 3002 1449 5990\nf 1618 3326 3002\nf 6054 3005 3004\nf 1693 3046 1769\nf 1461 5292 5476\nf 1626 3046 5401\nf 1473 1696 3217\nf 5473 5121 1486\nf 5248 5828 1613\nf 1608 5504 5890\nf 5762 2982 3147\nf 3147 3084 3151\nf 3148 1432 3298\nf 3323 2074 2834\nf 6142 1447 1443\nf 3238 3084 2982\nf 1736 6064 6054\nf 3255 1769 3252\nf 1547 3471 3236\nf 2982 2914 3238\nf 3077 2995 2906\nf 6013 5121 3233\nf 3124 3377 3247\nf 3203 5231 1694\nf 1606 3367 5903\nf 1423 3148 3298\nf 6054 5888 3011\nf 3298 6064 1423\nf 5496 2336 3086\nf 1549 3143 5488\nf 1696 6127 3217\nf 1715 5505 3252\nf 1696 1446 5292\nf 3387 3295 5536\nf 5283 5018 3232\nf 5361 2928 5946\nf 1343 1581 3102\nf 1415 2285 3102\nf 3471 1347 3236\nf 5395 5280 1347\nf 3029 1460 5680\nf 3289 1416 3254\nf 1633 5702 1368\nf 2839 5504 6049\nf 3211 3377 3212\nf 5748 5971 1486\nf 3148 5576 2336\nf 5696 5351 1693\nf 2336 1549 3148\nf 5748 5990 2923\nf 5583 1371 5917\nf 1626 3252 3046\nf 1769 1425 1535\nf 3098 5477 1439\nf 6144 2932 3157\nf 5597 1434 1548\nf 1183 1212 5653\nf 5417 5775 3168\nf 5290 3314 1360\nf 5971 5746 3079\nf 3293 3066 5651\nf 3318 1271 3382\nf 1715 3252 1626\nf 5817 3387 1461\nf 2835 3073 5760\nf 3140 1850 3071\nf 2760 1405 2160\nf 5498 5419 5649\nf 2191 2160 2634\nf 5946 3100 3264\nf 3256 3383 3100\nf 1769 3046 3252\nf 5946 1497 5361\nf 5601 5512 3491\nf 5953 5018 1793\nf 5793 5377 5591\nf 1497 2145 5361\nf 6098 1246 2044\nf 3008 5697 1462\nf 1343 1654 3316\nf 1581 1343 3193\nf 3153 1378 3316\nf 2477 3303 5374\nf 5760 3072 5791\nf 5689 1427 1480\nf 1242 1552 6118\nf 3260 1694 2826\nf 3247 1364 3167\nf 3491 1517 5601\nf 1218 3313 5745\nf 3021 3115 5794\nf 3252 5505 3255\nf 3404 5665 5646\nf 1517 3404 3091\nf 2176 1395 5233\nf 3180 1463 1263\nf 2145 3232 5018\nf 5611 5646 1380\nf 1380 5646 5665\nf 1305 1167 1550\nf 1497 3180 1263\nf 3090 1431 5839\nf 5581 5998 1460\nf 5664 3259 5404\nf 2878 3334 5921\nf 5244 1647 5853\nf 2846 2879 1268\nf 1719 1378 1647\nf 5251 6153 1339\nf 1427 3211 3212\nf 1242 5340 1552\nf 1619 5629 3067\nf 5651 3329 1273\nf 5617 5580 5347\nf 2121 5986 3163\nf 3474 598 1684\nf 2955 5864 1317\nf 5614 1720 5440\nf 5691 3543 1201\nf 1220 5403 1335\nf 3404 1517 1247\nf 2652 3047 2642\nf 1263 5611 1497\nf 5759 5498 3078\nf 3428 5549 1222\nf 1347 5802 3236\nf 3078 5617 1262\nf 3310 1375 5404\nf 2175 5935 1317\nf 5964 6083 1376\nf 1196 5415 5637\nf 1258 1318 5484\nf 5499 3241 1408\nf 5812 5507 5289\nf 5864 5281 1317\nf 2811 5499 3243\nf 1477 1015 3192\nf 3286 5429 1275\nf 1429 5634 3250\nf 5237 2236 5517\nf 5733 5995 3304\nf 1427 5689 3211\nf 1914 1568 2856\nf 3168 3283 2962\nf 5259 1605 1537\nf 3228 3224 3218\nf 1609 5892 1685\nf 5925 5352 3189\nf 3325 5944 1520\nf 2143 2176 5233\nf 5809 5601 1758\nf 5325 5659 1247\nf 1718 5558 1562\nf 5289 2121 3118\nf 1582 3033 1243\nf 1559 1624 2713\nf 5526 1166 5538\nf 5429 5320 2133\nf 308 1353 31\nf 5639 6053 3484\nf 3549 5561 5773\nf 2919 6129 3249\nf 5525 3234 5245\nf 5835 5245 1211\nf 5848 1290 5572\nf 1550 5396 2986\nf 1307 5325 2963\nf 2116 5717 1288\nf 394 2526 1513\nf 1307 3045 5659\nf 5512 5809 958\nf 3237 1408 3110\nf 3482 5514 6035\nf 6062 5702 1633\nf 3293 5340 3405\nf 5946 3180 1497\nf 1517 3491 3437\nf 3119 5751 5789\nf 1305 2755 2909\nf 5986 5347 5580\nf 2924 1015 1477\nf 3498 1748 1244\nf 2822 1913 2703\nf 2675 1200 651\nf 5957 5362 1123\nf 1301 3534 1270\nf 5337 5451 1336\nf 5848 5742 3488\nf 5451 5312 1336\nf 5699 1363 3226\nf 3420 3206 5959\nf 3566 3446 1402\nf 5992 3095 3483\nf 1308 5845 5843\nf 6153 1308 5843\nf 1678 1877 2865\nf 2973 3154 1329\nf 6001 5992 1257\nf 2953 5676 3251\nf 6115 5655 5642\nf 5328 2654 3394\nf 6053 5639 3302\nf 3577 1172 3249\nf 1424 3433 3073\nf 3447 3543 3200\nf 2044 5770 1747\nf 5513 1245 5436\nf 1245 3586 3119\nf 1374 2835 2909\nf 1927 3484 5316\nf 3118 5681 5923\nf 3114 5685 1718\nf 5964 3311 3431\nf 5404 3259 5281\nf 1215 3534 6089\nf 1336 5312 3201\nf 2602 1288 5514\nf 1320 5797 5837\nf 3095 5443 5799\nf 3095 5799 3366\nf 1257 1339 6001\nf 3497 5543 1605\nf 5259 1140 3497\nf 5346 2119 2924\nf 5997 5938 5471\nf 5905 6091 1030\nf 3204 2836 202\nf 3497 1140 5934\nf 1233 5321 5273\nf 1605 5259 3497\nf 5708 5302 5371\nf 5934 5564 5908\nf 5380 5397 1358\nf 5123 3472 5886\nf 5774 3588 5740\nf 3259 2167 2175\nf 3610 5873 3271\nf 5777 5250 3357\nf 1475 1476 3480\nf 6140 3198 6150\nf 5486 3349 1254\nf 5710 1428 1254\nf 5024 5992 5702\nf 5837 3235 1320\nf 5648 6075 5271\nf 5702 6062 5024\nf 5997 3683 5938\nf 5259 5316 2593\nf 3083 5726 5558\nf 3528 3533 6146\nf 3497 5934 5861\nf 5550 5849 1212\nf 5642 5655 3544\nf 3479 3363 5553\nf 3798 2093 3159\nf 1140 6029 5471\nf 3574 3402 694\nf 1030 5555 5905\nf 1605 5507 5812\nf 6029 1140 2593\nf 1030 5865 5555\nf 5564 5471 5938\nf 3378 5908 1126\nf 1284 3589 3436\nf 3499 5635 3415\nf 5932 1289 6092\nf 3399 6147 1104\nf 6121 3787 5993\nf 1332 1514 3734\nf 3492 5690 5881\nf 3490 1300 3263\nf 5881 3516 3486\nf 3518 3609 5275\nf 5227 6041 1004\nf 2042 6041 6111\nf 5520 1004 1642\nf 5427 3767 3673\nf 5880 3547 3546\nf 927 6111 6041\nf 3630 5586 5450\nf 5309 5534 1298\nf 1004 5520 1362\nf 3537 3743 5926\nf 1176 788 2195\nf 3368 3714 3439\nf 5881 5690 1091\nf 3645 6152 5548\nf 3708 984 966\nf 5700 3751 3556\nf 5266 5937 5633\nf 3263 5690 3492\nf 3637 1013 1297\nf 3510 3567 5501\nf 6111 1250 5236\nf 1642 1004 6041\nf 5460 967 5808\nf 5880 3546 3629\nf 1109 5156 5239\nf 966 5523 967\nf 5379 3751 5455\nf 5467 5400 2152\nf 3421 1132 3625\nf 2193 1205 1133\nf 3155 3522 6031\nf 1085 3643 5869\nf 3941 805 5816\nf 850 5470 3941\nf 1007 3605 1122\nf 6012 1052 3709\nf 5314 5636 5711\nf 2181 3939 5470\nf 850 5510 5470\nf 978 3719 3718\nf 5976 1116 5420\nf 5420 3669 5235\nf 3783 5516 3867\nf 4089 5202 5173\nf 4948 4946 881\nf 5097 944 3923\nf 2323 974 1034\nf 1673 3786 4036\nf 3783 3867 3631\nf 864 4066 3828\nf 1009 901 826\nf 2144 813 4120\nf 4199 804 5110\nf 5768 3737 5472\nf 2541 2543 2060\nf 3954 725 3733\nf 1011 6036 3729\nf 764 4136 3185\nf 3995 2359 874\nf 4147 4080 3197\nf 853 4064 909\nf 5519 5135 890\nf 3921 992 1673\nf 2541 4208 796\nf 2543 4098 4235\nf 3847 5279 3390\nf 3847 3390 3867\nf 2543 764 2060\nf 4161 3697 3089\nf 4036 661 1673\nf 475 838 74\nf 3901 4108 4101\nf 5201 5164 5141\nf 854 634 1455\nf 814 2359 5164\nf 4080 4273 4277\nf 871 2094 2255\nf 2334 4087 812\nf 4180 5141 2359\nf 3258 611 3170\nf 2307 3170 611\nf 4251 703 3170\nf 3170 703 3258\nf 1456 4183 335\nf 5147 4195 3842\nf 751 865 4020\nf 5234 911 858\nf 3841 739 3840\nf 4131 3965 1448\nf 830 638 1448\nf 845 2260 808\nf 1355 3197 4277\nf 3979 2295 4877\nf 4334 420 4273\nf 2276 886 4117\nf 3106 3197 4272\nf 2369 720 5005\nf 4380 4419 346\nf 420 4334 4333\nf 3117 4574 3176\nf 420 1594 1529\nf 2391 4306 4375\nf 4840 781 5192\nf 4360 2000 647\nf 4233 4377 4343\nf 2391 2369 4306\nf 403 96 4787\nf 349 4511 2338\nf 51 4886 2704\nf 529 1521 4656\nf 1819 1703 3123\nf 3032 2833 1457\nf 1457 346 3032\nf 3032 4656 1521\nf 2897 4972 355\nf 1521 1819 4434\nf 5085 316 259\nf 3176 4380 4423\nf 4367 345 1377\nf 355 5091 398\nf 1321 4968 2005\nf 5155 2364 4445\nf 477 4300 4187\nf 4822 4774 4943\nf 4305 629 2725\nf 4393 2370 4333\nf 4418 4655 5162\nf 469 4668 4972\nf 4987 5174 3962\nf 108 236 5091\nf 442 3120 4396\nf 1544 3931 1400\nf 176 4570 4467\nf 4302 1627 1956\nf 576 4536 640\nf 4546 4881 4797\nf 28 312 4607\nf 4881 132 4797\nf 2330 4393 503\nf 244 99 4834\nf 483 4163 752\nf 26 5085 117\nf 4102 113 3144\nf 4532 4756 100\nf 5074 71 42\nf 230 68 4775\nf 355 108 5091\nf 378 76 4440\nf 468 457 355\nf 579 447 4296\nf 3772 4517 2522\nf 204 252 4762\nf 4766 144 3353\nf 2395 2389 1644\nf 4556 1464 195\nf 4730 360 2708\nf 106 245 5161\nf 4914 4601 4648\nf 149 273 4645\nf 4438 383 5067\nf 283 4739 4597\nf 2707 288 4847\nf 2067 2554 1757\nf 962 3574 1491\nf 1330 4819 4722\nf 2990 5040 4241\nf 3353 144 2358\nf 4868 204 34\nf 288 4857 4931\nf 373 3353 1287\nf 5017 4991 2578\nf 4847 1142 4531\nf 159 4834 4851\nf 194 2970 3450\nf 194 3450 1949\nf 4325 4699 1560\nf 79 3380 4789\nf 3716 5016 2025\nf 3028 2807 2819\nf 4267 930 2666\nf 5154 817 2940\nf 3070 3441 2891\nf 2719 3445 1746\nf 2925 2661 2616\nf 575 817 5154\nf 6096 3071 1719\nf 3068 3350 1418\nf 4262 4320 2709\nf 2500 285 4559\nf 292 1665 405\nf 3554 4638 3754\nf 4347 1835 1834\nf 6122 3505 5520\nf 2077 2153 1088\nf 1979 4466 1883\nf 5189 4963 146\nf 4802 397 130\nf 4400 4184 2318\nf 2832 337 4488\nf 3273 2327 2036\nf 4700 4793 110\nf 4179 2401 4297\nf 4655 4419 5162\nf 1819 21 4465\nf 3176 4574 4375\nf 4302 4912 4453\nf 2832 4685 884\nf 2391 4375 2954\nf 3996 4251 2307\nf 1471 4380 3176\nf 4656 4367 529\nf 3123 21 1819\nf 456 2008 1583\nf 519 316 458\nf 789 2441 757\nf 4062 3979 4954\nf 1529 1594 4342\nf 2612 4354 2531\nf 4776 2847 4027\nf 1967 2400 2320\nf 4087 4273 1529\nf 4314 406 4026\nf 4223 3823 877\nf 4962 1468 604\nf 6 3886 2094\nf 4161 1092 5170\nf 765 4146 2930\nf 4155 5097 3923\nf 917 860 747\nf 805 2314 4120\nf 5976 5537 895\nf 3037 6066 5372\nf 3775 3766 6066\nf 6080 3597 5301\nf 5354 5764 3708\nf 1312 5690 3342\nf 5631 1412 1109\nf 5741 5534 5309\nf 3538 5985 1399\nf 1041 3621 1102\nf 5412 3315 3486\nf 1091 3516 5881\nf 1041 6034 1692\nf 1412 5631 2201\nf 3486 5545 5881\nf 3035 5730 5966\nf 1123 5362 1805\nf 1685 5892 1220\nf 5125 6076 5704\nf 5479 2973 1329\nf 5634 5822 5737\nf 5614 1197 3347\nf 5629 3066 5845\nf 3839 3308 1079\nf 3493 5799 6138\nf 1368 5702 3239\nf 2809 1177 3566\nf 3234 6090 5245\nf 1609 3110 6158\nf 3049 5558 1718\nf 1315 3484 6053\nf 1643 5664 3290\nf 1484 2149 1465\nf 5701 5477 6005\nf 4676 2569 2605\nf 3383 3264 3100\nf 3311 5964 3310\nf 3408 1244 5296\nf 3078 5498 5649\nf 5271 1068 5563\nf 3247 3167 3203\nf 1376 1291 3272\nf 1647 1378 3317\nf 2878 3333 3334\nf 1376 6083 1291\nf 3395 1434 5956\nf 5580 6096 3114\nf 5839 1431 2251\nf 2251 3190 3164\nf 5514 3149 5424\nf 1420 2837 2397\nf 1534 5802 1346\nf 3282 6124 3281\nf 1463 3180 3264\nf 3217 5299 2915\nf 2728 3011 3261\nf 5347 1748 3498\nf 1473 2915 1810\nf 6153 958 5794\nf 3066 3293 3382\nf 1443 3054 6142\nf 2785 3103 2984\nf 1613 3087 5248\nf 2826 5231 3151\nf 1626 5476 5292\nf 1618 5121 3003\nf 5416 6114 5262\nf 5577 5528 3076\nf 1423 1425 5576\nf 3092 1473 1810\nf 6114 5981 5262\nf 3003 6013 5405\nf 3207 3003 5405\nf 3055 3143 1447\nf 2815 5862 5416\nf 6142 2906 5862\nf 3055 1567 3143\nf 3003 3326 1618\nf 3076 5528 3092\nf 3326 3020 3002\nf 1447 1445 1443\nf 1567 3055 5262\nf 5981 6114 5859\nf 1432 3148 1549\nf 1425 1423 1535\nf 2995 6013 3233\nf 5739 3255 5505\nf 1715 5292 1446\nf 5488 1432 1549\nf 3086 1425 3255\nf 6013 3003 5121\nf 5872 1433 1435\nf 5488 3143 1567\nf 5577 3294 5739\nf 3294 5577 3054\nf 5577 3076 3054\nf 5262 5981 1567\nf 3405 3318 3293\nf 1447 3143 1445\nf 2839 6049 2914\nf 2995 3077 1487\nf 3146 6114 5473\nf 1697 3367 1419\nf 3261 2785 1606\nf 5416 5262 2815\nf 5401 5351 5692\nf 5447 2906 5948\nf 5762 1487 3077\nf 1810 3076 3092\nf 3002 5990 5748\nf 5299 6081 1608\nf 2827 2839 1551\nf 6114 5416 5473\nf 6142 5948 2906\nf 1487 3147 5405\nf 5447 5948 1810\nf 6049 5828 2914\nf 6049 3006 1613\nf 6049 5504 3006\nf 6013 2995 1487\nf 5903 1273 5596\nf 2826 3084 3328\nf 5416 5862 3233\nf 5121 1618 1486\nf 5862 2995 3233\nf 1433 5488 1567\nf 3367 1697 6118\nf 5859 6114 3146\nf 5859 3079 2984\nf 5859 3146 3079\nf 3103 5888 1435\nf 6054 6064 3005\nf 3004 5888 6054\nf 1425 3086 5576\nf 1736 6054 3011\nf 1486 1618 5748\nf 5596 5696 2728\nf 1433 1567 5981\nf 1423 6064 1535\nf 3233 5121 5473\nf 1447 6142 2815\nf 3217 3256 5299\nf 2336 5496 1445\nf 3046 5351 5401\nf 5405 3151 3207\nf 6127 3383 3256\nf 1461 3387 6127\nf 5441 1518 2933\nf 2839 5890 5504\nf 2826 3151 3084\nf 567 1199 3726\nf 3006 5504 1608\nf 5426 3254 1416\nf 3151 5405 3147\nf 1618 3002 5748\nf 5262 3055 2815\nf 5981 5859 2996\nf 5739 3086 3255\nf 5496 5739 3294\nf 5488 3298 1432\nf 1445 1549 2336\nf 5299 1608 5890\nf 5476 5817 1461\nf 5576 3148 1423\nf 3092 5528 1446\nf 3298 3005 6064\nf 5577 5739 5505\nf 1608 6081 5738\nf 1416 3260 3328\nf 2827 1810 2915\nf 1473 1446 1696\nf 1551 5762 5447\nf 1478 2149 5857\nf 5701 1467 3097\nf 3341 5280 1373\nf 5962 3000 3008\nf 3270 1292 1652\nf 3157 6051 6058\nf 3162 1346 5785\nf 3182 3236 1534\nf 3094 5591 3087\nf 3094 3006 5738\nf 3094 3087 1613\nf 1361 3042 2964\nf 5953 1793 5775\nf 3168 2962 5417\nf 3146 5473 1486\nf 3151 5231 3207\nf 3238 5828 3328\nf 2831 1876 4182\nf 3068 1389 3300\nf 1541 3149 1288\nf 2982 5762 1551\nf 3254 5426 3240\nf 5828 6049 1613\nf 5762 3147 1487\nf 3328 3084 3238\nf 2815 3055 1447\nf 1606 5903 3261\nf 2923 1697 5746\nf 2984 2996 5859\nf 3298 5488 3005\nf 1419 1599 5746\nf 5401 5476 1626\nf 5651 3066 3327\nf 3004 3005 5872\nf 5340 1242 3405\nf 1443 5496 3294\nf 2996 2984 3103\nf 5981 2996 1433\nf 6142 5862 2815\nf 2984 1599 2785\nf 5817 3215 1619\nf 1715 1446 5528\nf 5888 2785 3011\nf 2914 1551 2839\nf 5447 2827 1551\nf 5377 5361 2145\nf 5775 5258 5953\nf 5292 1461 1696\nf 5536 3295 3112\nf 3264 3383 5536\nf 1347 3471 5395\nf 1683 3000 6051\nf 5910 5697 3000\nf 5441 1459 1518\nf 1652 3090 5839\nf 5336 5867 5399\nf 3007 5701 5356\nf 3193 1343 5374\nf 5493 6097 2868\nf 3010 3162 5910\nf 3346 1182 3414\nf 5257 5680 1460\nf 5653 6045 6148\nf 6030 3029 3019\nf 1467 3015 3097\nf 5242 3472 5123\nf 1651 3270 1652\nf 3000 6058 6051\nf 1519 5785 1484\nf 3162 5877 1346\nf 3152 2079 1654\nf 1519 1484 1465\nf 2158 1387 4285\nf 5867 1651 6084\nf 6051 3157 5356\nf 3000 5697 3008\nf 1381 5419 2095\nf 3019 5399 6030\nf 5258 5387 3240\nf 1361 3291 3042\nf 2964 5917 5382\nf 1416 3289 5282\nf 3289 1360 5282\nf 5256 3323 1500\nf 3167 5256 3020\nf 2962 5917 2964\nf 5405 6013 1487\nf 1697 1419 5746\nf 2838 3318 3405\nf 3005 5488 5872\nf 3004 5872 1435\nf 1445 3143 1549\nf 1445 5496 1443\nf 5888 3004 1435\nf 5479 5435 2973\nf 1443 3294 3054\nf 1599 1419 1606\nf 5505 5528 5577\nf 5447 5762 3077\nf 5948 6142 3054\nf 5738 5793 3094\nf 3387 5536 3383\nf 2928 5361 5793\nf 6127 3256 3217\nf 3326 3003 3207\nf 5361 5377 5793\nf 2928 3100 5946\nf 3383 6127 3387\nf 5018 5377 2145\nf 5775 1793 3168\nf 5018 5953 5377\nf 1793 5018 5283\nf 5258 3240 3087\nf 2301 5283 2756\nf 2301 3168 1793\nf 1534 3236 5802\nf 1262 5347 3251\nf 3033 3392 1243\nf 1465 1478 1462\nf 1478 5857 5336\nf 1691 3392 3471\nf 5676 2953 1582\nf 1346 5877 3098\nf 1346 3098 1534\nf 2149 1478 1465\nf 1292 3414 5788\nf 3010 5877 3162\nf 5697 1519 1465\nf 2932 3007 3157\nf 3346 5280 1182\nf 1534 1533 3182\nf 1683 3010 5910\nf 6045 1286 6148\nf 1460 5998 5257\nf 2951 1654 3102\nf 3000 1683 5910\nf 5688 3116 1548\nf 5886 5380 5123\nf 1459 5441 2932\nf 5697 5910 1519\nf 5581 5688 1485\nf 3088 5493 6050\nf 1459 2932 5680\nf 3015 1669 3097\nf 3015 1467 2933\nf 3090 3472 1431\nf 2951 2285 5547\nf 2951 3102 2285\nf 6005 5356 5701\nf 3007 2932 5441\nf 5547 6083 5423\nf 3152 1654 2951\nf 2932 6144 5680\nf 5387 1450 3240\nf 3042 5417 2964\nf 5258 5591 5953\nf 3073 3072 5760\nf 3212 3377 3124\nf 3323 1329 2838\nf 5387 3042 1450\nf 3239 5435 1368\nf 5473 5416 3233\nf 3124 3247 1694\nf 1360 1427 3212\nf 2923 6118 1697\nf 5990 6118 2923\nf 5746 5971 2923\nf 3079 3146 5971\nf 1500 3405 3284\nf 1552 3367 6118\nf 6064 1736 1535\nf 1552 5903 3367\nf 5591 5258 3087\nf 5583 5917 2962\nf 2301 2986 3283\nf 2756 1305 2986\nf 1446 1473 3092\nf 3100 2928 6081\nf 1626 5292 1715\nf 2928 5793 5738\nf 1769 3255 1425\nf 5692 3215 5401\nf 2755 1305 2756\nf 3217 2915 1473\nf 6081 5299 3256\nf 6081 2928 5738\nf 1463 1758 1263\nf 1378 3071 5300\nf 3303 5901 3193\nf 3140 5617 3078\nf 5010 2828 2965\nf 1465 1462 5697\nf 5356 6005 1683\nf 3555 3461 1513\nf 6042 5125 3406\nf 3193 5374 3303\nf 5356 3157 3007\nf 6051 5356 1683\nf 3392 1260 5395\nf 5788 3414 1759\nf 5441 1467 3007\nf 2868 2251 1431\nf 6030 5867 6084\nf 5788 3090 1292\nf 1316 2285 1415\nf 6030 5399 5867\nf 6084 5839 3164\nf 2868 6097 2251\nf 5597 5552 1291\nf 3268 5552 5663\nf 6097 5688 5581\nf 6097 5493 3088\nf 5688 6097 3088\nf 5552 5969 5663\nf 5242 6132 5493\nf 1292 3090 1652\nf 1292 3270 3414\nf 1431 3472 5242\nf 5680 5257 1459\nf 3029 3164 3190\nf 5257 5247 1518\nf 1518 1459 5257\nf 1669 5901 1439\nf 5423 3431 3152\nf 1439 3097 1669\nf 2285 1316 3395\nf 2933 1467 5441\nf 1581 3015 1415\nf 5477 5701 3097\nf 2951 5423 3152\nf 5853 1591 5244\nf 3049 5685 5244\nf 5547 2285 3395\nf 1533 1381 2095\nf 1316 5247 3395\nf 3191 5398 1481\nf 5332 5454 3279\nf 1369 5298 5736\nf 5298 5481 5736\nf 1318 3093 5120\nf 3282 2108 5323\nf 5352 3249 1172\nf 3036 5729 3216\nf 2108 3234 5323\nf 1371 3187 5574\nf 2756 2986 2301\nf 5396 5583 3283\nf 2830 2992 1496\nf 3240 5426 5248\nf 3254 3240 1450\nf 5387 5775 5417\nf 6001 1339 1344\nf 3260 5282 3124\nf 5689 5479 2834\nf 3238 2914 5828\nf 5417 3042 5387\nf 3291 1450 3042\nf 1342 2176 6138\nf 5769 1619 3215\nf 5971 3146 1486\nf 3382 1271 5845\nf 2838 1500 3323\nf 1344 3239 6001\nf 5692 5696 3329\nf 5696 5692 5351\nf 3329 5696 5596\nf 5596 3261 5903\nf 958 5809 3021\nf 3046 1693 5351\nf 5528 5505 1715\nf 1693 2728 5696\nf 3246 5583 5396\nf 2099 3232 1380\nf 3309 2755 5944\nf 3149 5382 5424\nf 3249 6088 3577\nf 5723 1430 3036\nf 1318 3041 1648\nf 2284 3359 1367\nf 5870 5782 5661\nf 3303 5419 1381\nf 3256 3100 6081\nf 3295 3115 3021\nf 5738 3006 1608\nf 5611 1380 3232\nf 1758 3091 1263\nf 5793 5591 3094\nf 5283 2301 1793\nf 5244 5685 1719\nf 1562 5681 3118\nf 5923 5812 3118\nf 1669 3193 5901\nf 1373 5280 3346\nf 3140 3078 5649\nf 3163 1562 2121\nf 1439 5901 1533\nf 1767 2554 1873\nf 2955 5853 1647\nf 1759 5886 5788\nf 5280 3341 1347\nf 5877 6005 5477\nf 3162 1519 5910\nf 5867 5857 1651\nf 6005 5877 3010\nf 3098 5877 5477\nf 3341 5802 1347\nf 3341 5785 5802\nf 2251 6097 3190\nf 1484 5785 3341\nf 3392 3253 1260\nf 3253 1401 1358\nf 5788 5886 3472\nf 6045 1212 2632\nf 5653 6148 6050\nf 5581 3190 6097\nf 3407 5663 5969\nf 1291 6083 5956\nf 5931 3116 3088\nf 5380 5550 1183\nf 5653 6132 1183\nf 2868 5242 5493\nf 6132 5653 6050\nf 1548 1485 5688\nf 6083 5547 5956\nf 5663 1337 3268\nf 1316 2933 1518\nf 1415 3015 2933\nf 6083 5964 5423\nf 1434 5998 1485\nf 1295 1157 6074\nf 1434 5247 5998\nf 5324 5720 1157\nf 5901 3303 1381\nf 5123 6132 5242\nf 1183 6132 5123\nf 1415 3102 1581\nf 1581 1669 3015\nf 1415 2933 1316\nf 1647 5244 1719\nf 3431 5864 2079\nf 3109 5637 1331\nf 5391 5787 3502\nf 6078 3093 3279\nf 3044 1452 6068\nf 5973 3361 1345\nf 5365 3228 3339\nf 5371 1164 5362\nf 6096 5685 3114\nf 3102 1654 1343\nf 2577 4219 1754\nf 1669 1581 3193\nf 3078 1262 5759\nf 3153 2079 3317\nf 1571 5288 3201\nf 3304 5835 1211\nf 5492 5530 5288\nf 5288 1370 3201\nf 5492 5288 1248\nf 3044 5391 1452\nf 1370 1509 3201\nf 1481 1430 5723\nf 1481 1369 1430\nf 3044 5398 5391\nf 5737 5822 3339\nf 3150 1371 3246\nf 5729 3036 1571\nf 3417 3219 5729\nf 3219 3216 5729\nf 5729 5451 3417\nf 5382 1361 2964\nf 3159 3420 3798\nf 3249 3250 2919\nf 5699 3340 1365\nf 5782 5870 5974\nf 2108 6090 3234\nf 3073 3433 3072\nf 5514 3482 2602\nf 2909 3309 1374\nf 1541 5290 3291\nf 6035 5424 5574\nf 5424 5917 5574\nf 1257 5251 1339\nf 6032 1360 3289\nf 3211 3248 3377\nf 1368 5435 5479\nf 1364 3377 3248\nf 5282 3212 3124\nf 5282 1360 3212\nf 1361 1541 3291\nf 5424 6035 5514\nf 3168 2301 3283\nf 1168 1307 2143\nf 1427 1360 3314\nf 3289 1450 6032\nf 5435 3239 1344\nf 1329 2834 5479\nf 2923 5971 5748\nf 3247 3377 1364\nf 3207 5231 3203\nf 3203 3167 3020\nf 1449 5256 1500\nf 1271 5843 5845\nf 1242 3284 3405\nf 6118 3284 1242\nf 3239 5702 5992\nf 5769 5692 3327\nf 5843 1339 6153\nf 3329 5651 3327\nf 5692 5769 3215\nf 1552 5340 1273\nf 6062 5717 1573\nf 3327 3066 5769\nf 1273 5903 1552\nf 5911 2963 3437\nf 3115 3295 5817\nf 5791 3072 2555\nf 5705 6165 3322\nf 2938 2556 1704\nf 2099 5944 2755\nf 3200 3485 5671\nf 2909 1167 1305\nf 3313 1218 5186\nf 3322 3464 2684\nf 1796 3440 131\nf 3464 5411 3030\nf 5338 6124 3145\nf 3798 3420 5277\nf 2777 5411 3322\nf 3376 6046 3266\nf 1285 3798 1451\nf 3199 5652 2108\nf 5382 3149 1361\nf 5661 5365 3219\nf 5661 3219 3417\nf 2093 1285 1365\nf 5567 5925 1227\nf 5723 6078 1481\nf 5822 5634 6105\nf 3041 5120 1528\nf 3340 3281 1365\nf 3340 3282 3281\nf 1429 5585 1350\nf 3041 1528 3339\nf 1199 4436 4379\nf 5571 1522 5221\nf 1273 5340 5651\nf 3021 3112 3295\nf 1758 3112 5809\nf 1247 1437 5665\nf 3295 3387 5817\nf 3115 5817 1619\nf 1517 3437 5325\nf 5646 5611 1263\nf 2915 5890 2827\nf 1497 5611 2145\nf 5601 5809 5512\nf 5819 5573 5436\nf 3485 3577 3432\nf 5646 1263 3091\nf 3232 2145 5611\nf 6096 5617 3140\nf 5316 1537 1927\nf 5289 5507 3408\nf 1691 3471 1547\nf 5617 6096 5580\nf 5498 5437 1547\nf 2477 5374 5300\nf 5437 5498 5759\nf 5580 3163 5986\nf 3008 5336 5399\nf 5857 1482 1651\nf 1482 5857 2149\nf 5867 5336 5857\nf 3019 5962 5399\nf 1484 3341 1373\nf 1260 3253 5397\nf 3008 5399 5962\nf 5962 6144 6058\nf 3392 3033 3253\nf 1401 5348 1358\nf 1401 5532 5348\nf 6050 5931 3088\nf 5395 1260 1182\nf 6148 5931 6050\nf 3268 1295 5222\nf 1157 5744 6074\nf 1286 1222 1337\nf 6144 5962 3019\nf 1212 5849 2632\nf 3335 5222 1295\nf 5597 5956 1434\nf 5969 5597 1548\nf 5969 5552 5597\nf 3272 3268 5222\nf 1291 5956 5597\nf 5222 5961 3272\nf 5956 5547 3395\nf 1222 5324 1337\nf 5222 3335 5961\nf 1291 5552 3272\nf 5324 1222 5720\nf 1434 1485 1548\nf 1317 5281 2175\nf 5720 5549 3299\nf 1127 1458 2119\nf 5773 5686 5987\nf 5247 1316 1518\nf 1378 1719 3071\nf 3097 1439 5477\nf 5404 1375 5664\nf 5773 6125 5686\nf 1304 5850 1196\nf 6078 5723 5120\nf 1259 3278 3348\nf 5947 1331 6043\nf 5661 5782 3228\nf 5870 5661 3417\nf 5415 3331 6043\nf 1591 2811 3083\nf 2811 1591 5587\nf 2882 2811 1505\nf 5986 5296 1748\nf 5371 5302 2167\nf 2095 3182 1533\nf 5822 3041 3339\nf 1648 3041 5822\nf 5947 5388 6155\nf 1350 5517 1483\nf 5484 5654 1258\nf 5815 5337 1336\nf 3331 3018 6043\nf 6094 5481 5298\nf 1428 3242 1570\nf 5398 5787 5391\nf 3381 3412 3107\nf 1253 3307 3242\nf 3307 3501 1345\nf 1369 5492 1430\nf 1481 3277 1369\nf 1481 5398 3277\nf 1430 5492 1248\nf 5391 1259 1452\nf 4025 1853 3667\nf 1336 1509 5815\nf 1571 5312 5729\nf 5312 1571 3201\nf 5288 5530 1370\nf 3242 1428 1253\nf 6094 1254 5481\nf 1211 6090 1584\nf 3361 3307 1345\nf 5298 3277 3043\nf 1053 1253 5893\nf 3359 5733 1367\nf 5572 5742 5848\nf 1248 1571 3036\nf 1509 2284 5815\nf 1393 1210 5835\nf 3304 1393 5835\nf 3216 5723 3036\nf 3319 5451 5337\nf 5974 5870 3319\nf 1509 5973 2284\nf 1570 5481 1428\nf 3242 3361 1570\nf 5566 5959 1151\nf 5338 2093 6124\nf 5770 3403 1201\nf 3159 3206 3420\nf 3065 3340 5699\nf 1450 3291 6032\nf 3283 5583 2962\nf 3150 3187 1371\nf 5760 5791 2792\nf 1451 3798 5277\nf 1694 5231 2826\nf 1694 3247 3203\nf 1360 6032 5290\nf 5417 2962 2964\nf 1361 3149 1541\nf 1329 3154 2838\nf 1368 5479 5689\nf 5769 5629 1619\nf 1546 3181 2647\nf 2728 1693 1736\nf 5717 6062 1633\nf 2920 3491 5512\nf 5692 3329 3327\nf 958 5251 5512\nf 1257 3483 2920\nf 3405 1500 2838\nf 2963 5325 3437\nf 5794 3115 3067\nf 5340 3293 5651\nf 5256 2074 3323\nf 5812 1537 1605\nf 2435 1807 1836\nf 2547 2426 1624\nf 3340 5974 3199\nf 3432 3433 5671\nf 5421 6088 6129\nf 3224 5782 3065\nf 1285 2093 3798\nf 3224 3065 3226\nf 5421 3224 3226\nf 5120 3093 6078\nf 6020 5484 1648\nf 6020 5654 5484\nf 3339 3228 5737\nf 3218 2919 5737\nf 2919 3250 5634\nf 1350 3454 5517\nf 1609 6158 5221\nf 2758 2712 1768\nf 1756 5726 3243\nf 5665 3404 1247\nf 5794 958 3021\nf 6153 5251 958\nf 3264 3180 5946\nf 5601 3091 1758\nf 2963 2143 1307\nf 6098 2044 5573\nf 5944 5751 3309\nf 2143 5233 1168\nf 6063 2835 1374\nf 5352 3250 3249\nf 3485 1172 3577\nf 3408 5507 3192\nf 2953 3406 5532\nf 1748 5347 5986\nf 5676 5759 3251\nf 3190 5581 1460\nf 3251 5759 1262\nf 1262 5617 5347\nf 6076 5125 1015\nf 1759 3414 1182\nf 1358 5550 5380\nf 5785 1519 3162\nf 2953 3498 6042\nf 1462 1478 5336\nf 3253 3033 1401\nf 1166 5849 5538\nf 1157 1453 5744\nf 1460 3029 3190\nf 1157 1295 5324\nf 3335 1295 6074\nf 1222 5549 5720\nf 3299 1127 5936\nf 2175 5281 3259\nf 5961 1376 3272\nf 3153 3316 1654\nf 5281 3311 5404\nf 1643 3259 5664\nf 5961 1375 3310\nf 1376 3310 5964\nf 5547 5423 2951\nf 3277 5298 1369\nf 3278 3271 3348\nf 6162 3465 3331\nf 5484 1318 1648\nf 1528 5365 3339\nf 5637 5415 6043\nf 3201 1509 1336\nf 1196 5850 6162\nf 1304 5237 5425\nf 5679 5508 3348\nf 3310 1376 5961\nf 1719 5685 6096\nf 1164 1165 5362\nf 6129 2919 3218\nf 3347 3354 5614\nf 1272 5425 5237\nf 3109 5332 1258\nf 3109 1331 5332\nf 5947 6155 3502\nf 3347 5482 1227\nf 5403 1720 5841\nf 3433 3432 2684\nf 3432 5705 2684\nf 5454 1331 5947\nf 3467 3075 1226\nf 5873 3610 1354\nf 3467 5508 3075\nf 5644 6028 5710\nf 1430 1248 3036\nf 1469 5641 5656\nf 3277 3044 3043\nf 1270 3534 5893\nf 5736 5481 1570\nf 3277 5398 3044\nf 3043 6166 6094\nf 3359 2284 5973\nf 6028 1270 5893\nf 3230 5644 3349\nf 3349 5486 5656\nf 5893 3534 5836\nf 5492 5736 5530\nf 1211 1367 3304\nf 5710 6028 1253\nf 1393 5315 1210\nf 1254 6094 5486\nf 3349 5644 5710\nf 5848 3488 5500\nf 3839 1079 1068\nf 5396 1550 3246\nf 3218 3224 5421\nf 1167 2909 2835\nf 3566 5589 3446\nf 3030 3072 2684\nf 1541 1288 5717\nf 6032 3291 5290\nf 2834 2074 3248\nf 2116 5445 1573\nf 3312 6075 2607\nf 3312 6171 6075\nf 3248 5689 2834\nf 2834 1329 3323\nf 5734 1271 3154\nf 2074 3167 1364\nf 3020 3326 3203\nf 3067 1308 5794\nf 3067 5629 1308\nf 1271 5734 5843\nf 5422 5681 5726\nf 1310 1143 3403\nf 5634 5737 2919\nf 5671 3433 1424\nf 5791 3150 2792\nf 2792 3246 1550\nf 5737 3228 3218\nf 3226 1363 6165\nf 3340 3065 5974\nf 3065 5782 5974\nf 3283 2986 5396\nf 1424 5313 5485\nf 5440 1197 5614\nf 3228 5365 5661\nf 5585 5482 3454\nf 3228 5782 3224\nf 5585 3454 1350\nf 5365 1528 3219\nf 3302 3110 1685\nf 3237 3243 5499\nf 2143 3493 2176\nf 5809 3112 3021\nf 3493 2143 2963\nf 3091 3404 5646\nf 3264 5536 1463\nf 3325 5659 5789\nf 5944 3325 5751\nf 2044 1747 5513\nf 1310 1410 1143\nf 1374 1241 6063\nf 6063 1241 5313\nf 5923 5422 1927\nf 1015 2924 6076\nf 3406 5125 5704\nf 5649 5419 2477\nf 1683 6005 3010\nf 5714 3192 1015\nf 6042 1244 5714\nf 5802 5785 1346\nf 1759 5397 5886\nf 5336 3008 1462\nf 1652 6084 1651\nf 1652 5839 6084\nf 1244 3408 5714\nf 1691 5437 1243\nf 5397 1759 1260\nf 5849 5348 5538\nf 1183 5123 5380\nf 5886 5397 5380\nf 3346 1482 1373\nf 5397 3253 1358\nf 5680 3019 3029\nf 5680 6144 3019\nf 3116 5969 1548\nf 1295 3268 5324\nf 3116 5688 3088\nf 1403 5375 5526\nf 5931 3407 5969\nf 5931 6148 3407\nf 5686 1522 5571\nf 1458 6076 2119\nf 5957 5561 3549\nf 5936 1127 2119\nf 5864 3431 3311\nf 5961 3335 1375\nf 5686 3452 1522\nf 1684 2797 2001\nf 3317 1378 3153\nf 5499 1408 3237\nf 3431 2079 3152\nf 6125 5241 5686\nf 1284 3288 6125\nf 3431 5423 5964\nf 3290 5252 5795\nf 3107 3075 5508\nf 5255 3292 3379\nf 3122 1124 5856\nf 5541 3292 5255\nf 1323 1124 5541\nf 5508 3467 6068\nf 5255 5728 6155\nf 5508 5679 3107\nf 3454 5482 5594\nf 1483 6105 1350\nf 3502 1259 5391\nf 3440 1200 2417\nf 3243 3237 1756\nf 5987 3334 5773\nf 5925 3578 3354\nf 2647 1600 2011\nf 5302 5935 2167\nf 3302 1756 3237\nf 5567 1227 5585\nf 6129 6088 3249\nf 1197 5885 5439\nf 1201 5483 5691\nf 5313 3586 1747\nf 3338 5425 1272\nf 5950 5830 5707\nf 3348 5508 1452\nf 3348 3271 5679\nf 3271 5873 5679\nf 3075 3412 1469\nf 3107 5679 5873\nf 3278 6155 5728\nf 5787 5398 3191\nf 3107 5873 3381\nf 6079 3171 5952\nf 1301 1270 1322\nf 3171 6145 5952\nf 1322 1270 3231\nf 6089 1366 1215\nf 6100 3231 5952\nf 5736 5492 1369\nf 1248 5288 1571\nf 3231 3230 5952\nf 6079 5641 3171\nf 5632 3356 2132\nf 1366 6168 3435\nf 5675 1215 3435\nf 1253 1428 5710\nf 5656 6079 3230\nf 3230 3349 5656\nf 5572 1290 1319\nf 5900 3488 5742\nf 3279 3093 5332\nf 6095 5315 1393\nf 5995 5733 1290\nf 3030 2555 3072\nf 1365 3281 2093\nf 1365 1285 3175\nf 3159 2093 5338\nf 1079 5579 5378\nf 5305 6171 1402\nf 3175 5699 1365\nf 6165 5421 3226\nf 5186 3324 5589\nf 3313 5186 5889\nf 3324 1216 5618\nf 5186 5589 5889\nf 5282 3260 1416\nf 5271 1342 5648\nf 3312 1402 6171\nf 1068 1079 5563\nf 3045 5436 1245\nf 5845 3066 3382\nf 5734 5435 1344\nf 2664 5443 1573\nf 5325 1247 1517\nf 2664 1798 5443\nf 5629 5769 3066\nf 3154 2973 5734\nf 1364 3248 2074\nf 5911 3437 3491\nf 5665 1437 1520\nf 6053 1220 1315\nf 5671 3485 3432\nf 3030 2684 3464\nf 1483 6020 6105\nf 3189 3485 3160\nf 1528 3216 3219\nf 1528 5120 3216\nf 5671 5485 3200\nf 1429 3250 5567\nf 5221 1522 5713\nf 5440 5221 5713\nf 1335 1315 1220\nf 3160 5925 3189\nf 6138 5799 5443\nf 5024 5443 3095\nf 5878 5648 1798\nf 5512 5251 2920\nf 3031 5563 5307\nf 5563 5378 5307\nf 3091 5601 1517\nf 1758 1463 3112\nf 5789 5659 3045\nf 3325 5789 5751\nf 1241 3119 3586\nf 1241 5751 3119\nf 1380 1520 2099\nf 3302 1685 6053\nf 1582 1243 5676\nf 1335 5403 6115\nf 1718 5685 3049\nf 2924 3275 5346\nf 1458 5526 5704\nf 5681 1562 5558\nf 1458 1403 5526\nf 1015 5125 5714\nf 5419 5498 2095\nf 3406 2953 6042\nf 3408 3192 5714\nf 1182 1260 1759\nf 5348 5550 1358\nf 5348 5849 5550\nf 1401 3033 1582\nf 1182 5280 5395\nf 1126 3524 1421\nf 3472 3090 5788\nf 5861 5908 3275\nf 5908 3378 3275\nf 3407 6148 1286\nf 5395 3471 3392\nf 5704 6076 1458\nf 3407 1286 1337\nf 5938 5409 5564\nf 5241 1283 3452\nf 5936 2119 5966\nf 1165 1805 5362\nf 3049 5244 1591\nf 1647 3317 2955\nf 3278 3502 6155\nf 5332 3093 1258\nf 5728 3610 3271\nf 5255 5388 3018\nf 3417 5451 3319\nf 3109 5654 5694\nf 5654 2236 5694\nf 3454 5594 1272\nf 5517 3454 1272\nf 5856 5945 3475\nf 3093 1318 1258\nf 5856 5584 5945\nf 5925 3160 3578\nf 1220 6053 1685\nf 6105 1429 1350\nf 5439 3473 5594\nf 6105 5634 1429\nf 6105 6020 1648\nf 5439 5482 3347\nf 3473 5916 3195\nf 1227 3354 3347\nf 5517 2236 1483\nf 1335 5642 1315\nf 5594 3473 3338\nf 3473 3195 3338\nf 1335 6115 5642\nf 5830 931 5707\nf 5728 5255 3379\nf 1240 1162 6150\nf 5830 3627 931\nf 5787 5454 3502\nf 1240 3539 1162\nf 3230 6079 5952\nf 6068 3043 3044\nf 3271 3278 5728\nf 1452 5508 6068\nf 1322 3231 6100\nf 5952 6145 6100\nf 3231 5644 3230\nf 3231 1270 5644\nf 1476 5641 3363\nf 6079 5656 5641\nf 1413 3564 1252\nf 5814 3642 5598\nf 1469 1226 3075\nf 5656 5486 1226\nf 1413 2132 3356\nf 5814 1187 3642\nf 6168 6073 5900\nf 5337 5652 3199\nf 1215 1366 3435\nf 1345 1319 3359\nf 1319 5733 3359\nf 3158 1319 3501\nf 1366 5598 3642\nf 3361 5973 1370\nf 1392 5500 5667\nf 3145 5525 6046\nf 1366 3642 6168\nf 1276 3306 5525\nf 6046 5338 3145\nf 5411 2777 1451\nf 2555 2754 5745\nf 3145 6124 5323\nf 6165 1363 3322\nf 3576 3670 5630\nf 5589 5618 3446\nf 1177 3187 2796\nf 3566 1177 5589\nf 3324 5618 5589\nf 5574 5917 1371\nf 5583 3246 1371\nf 1409 5579 3520\nf 2986 1305 1550\nf 3314 5290 5717\nf 1480 1427 3314\nf 3839 3235 5837\nf 1480 1633 1368\nf 3314 5717 1633\nf 5461 6035 2809\nf 5574 3187 2809\nf 6171 1068 6075\nf 1308 5629 5845\nf 2664 1573 5445\nf 3112 1463 5536\nf 5843 5734 1344\nf 5892 1720 5403\nf 5483 1143 5655\nf 5709 3544 2593\nf 3200 3160 3485\nf 2835 6063 3073\nf 1747 3447 5485\nf 3200 3543 3160\nf 6088 6165 5705\nf 5691 5403 5841\nf 1374 5751 1241\nf 5403 1220 5892\nf 3491 2920 5911\nf 3366 3483 3095\nf 3483 3366 5911\nf 5659 5325 1307\nf 5659 1437 1247\nf 5734 2973 5435\nf 2963 3366 3493\nf 5574 2809 6035\nf 3366 5799 3493\nf 5307 5378 6098\nf 1245 5789 3045\nf 5513 5573 2044\nf 2909 2755 3309\nf 1520 1437 3325\nf 2756 5283 2099\nf 5296 5986 2121\nf 1381 1533 5901\nf 5296 1244 1748\nf 5296 5289 3408\nf 5714 5125 6042\nf 6042 3498 1244\nf 5348 5532 5538\nf 1401 1582 5532\nf 5543 3497 5861\nf 2119 6076 2924\nf 5375 5549 3428\nf 1691 1243 3392\nf 1547 5437 1691\nf 3428 6045 2632\nf 3116 5931 5969\nf 1403 3299 5549\nf 1453 3299 5936\nf 5853 1317 5935\nf 5754 5346 3378\nf 1403 5549 5375\nf 1453 5720 3299\nf 3378 5346 3275\nf 1164 5371 1643\nf 5774 5740 3589\nf 5744 1453 5730\nf 1895 2967 2488\nf 87 2892 2810\nf 464 2879 4192\nf 3060 2417 1200\nf 5250 5553 3381\nf 1235 5232 6087\nf 1333 5771 3285\nf 5541 3122 3292\nf 1196 5637 5694\nf 3438 3538 1340\nf 3458 5985 5883\nf 5694 5637 3109\nf 5454 5332 1331\nf 5454 5787 3279\nf 1333 3285 5584\nf 5120 3041 1318\nf 3452 1283 5240\nf 3333 5708 3549\nf 5320 3689 3640\nf 5482 5585 1227\nf 1227 5925 3354\nf 3195 3438 1340\nf 3195 4992 3438\nf 5482 5439 5594\nf 5725 5645 1161\nf 5942 1414 1302\nf 6149 3707 5515\nf 5524 5724 5515\nf 6150 5950 6140\nf 3707 3276 1341\nf 3379 5607 5674\nf 1240 1070 3539\nf 5988 5246 1162\nf 1240 6150 6057\nf 5777 3357 3565\nf 5787 3191 3279\nf 3357 3276 3565\nf 1226 6166 3467\nf 3075 3107 3412\nf 5388 6043 3018\nf 1323 5541 3018\nf 3349 5710 1254\nf 1322 3336 1301\nf 5486 6166 1226\nf 1252 3671 5763\nf 3434 3262 1252\nf 1192 1322 6100\nf 5298 3043 6094\nf 1213 769 6085\nf 3262 2132 1413\nf 3363 5641 1469\nf 1476 1475 3171\nf 5610 5632 2132\nf 6073 5967 5900\nf 3363 3479 1476\nf 3363 1469 3412\nf 3171 5641 1476\nf 5675 3435 5742\nf 6028 5644 1270\nf 6168 5900 3435\nf 6089 1301 6061\nf 3534 1301 6089\nf 3501 3307 1053\nf 1290 5848 1392\nf 5323 6124 3282\nf 3435 5900 5742\nf 3304 5995 1393\nf 3304 1367 5733\nf 1367 1584 2284\nf 5836 1215 5675\nf 3319 3199 5974\nf 5245 5835 1276\nf 5245 6090 1211\nf 1276 5835 1210\nf 6110 1163 1184\nf 5972 5874 1289\nf 5972 5602 5874\nf 5330 3313 5889\nf 5566 3420 5959\nf 3340 3199 3282\nf 5411 1451 2754\nf 1086 3210 1391\nf 1979 1883 2887\nf 3126 5433 2501\nf 5760 1167 2835\nf 5959 5930 5284\nf 1216 3235 5618\nf 1311 2166 3324\nf 1409 5378 5579\nf 3428 2632 5375\nf 1633 1480 3314\nf 5024 6062 1573\nf 1339 5843 1344\nf 2963 5911 3366\nf 5558 3049 3083\nf 1408 6158 3110\nf 3163 3114 1718\nf 3577 6088 5705\nf 5819 3031 5307\nf 3354 3578 5841\nf 5585 1429 5567\nf 3493 6138 2176\nf 3045 1307 1168\nf 5461 3482 6035\nf 6115 5691 5483\nf 6115 5403 5691\nf 1685 3110 1609\nf 5573 5307 6098\nf 1246 6019 1410\nf 1756 3302 5639\nf 5543 3192 5507\nf 5726 5639 5422\nf 5642 3544 5709\nf 3498 2953 3251\nf 1537 5316 5259\nf 5708 5371 5362\nf 3498 3251 5347\nf 1212 1183 5550\nf 1127 3299 1403\nf 5966 5754 3035\nf 2734 1359 1707\nf 2556 1638 1563\nf 1222 1286 3428\nf 6123 1165 2639\nf 1165 1164 5795\nf 5936 5730 1453\nf 1453 1157 5720\nf 3589 1123 5774\nf 3378 1421 5754\nf 6123 3524 1805\nf 5791 5330 3150\nf 1283 3478 5240\nf 3243 5726 3083\nf 3364 5555 1180\nf 1283 3288 6160\nf 3436 3364 1284\nf 1277 3572 5776\nf 5771 1024 3285\nf 5584 1303 5945\nf 5255 3018 5541\nf 3122 5856 3475\nf 3018 3331 1323\nf 3689 5771 3640\nf 1522 1185 5713\nf 5240 3478 2134\nf 1399 5985 3458\nf 5584 3285 1303\nf 5728 3379 3610\nf 5669 5261 3399\nf 5674 3610 3379\nf 3276 3707 3565\nf 1354 3381 5873\nf 5725 3565 3707\nf 1354 5250 3381\nf 3198 6140 3480\nf 3198 6057 6150\nf 5607 3276 5674\nf 3479 3480 1476\nf 5607 1341 3276\nf 1354 5674 3357\nf 3357 5674 3276\nf 3610 5674 1354\nf 5725 1161 5922\nf 5777 3565 5922\nf 3356 5928 1112\nf 3356 3355 1413\nf 6140 5707 3396\nf 1475 3280 5610\nf 5610 3280 5632\nf 5610 6145 1475\nf 3356 1112 3355\nf 1192 3434 3336\nf 3671 1153 5814\nf 3358 3396 5707\nf 3280 3358 5632\nf 5866 3356 5632\nf 3262 1413 1252\nf 3671 1252 3564\nf 5598 5763 5814\nf 5530 3361 1370\nf 6145 5610 1265\nf 6028 5893 1253\nf 3158 1053 5836\nf 6100 1265 1192\nf 6168 6154 6073\nf 3564 1064 3671\nf 3564 6008 1064\nf 6008 5772 6085\nf 5337 3199 3319\nf 5500 1392 5848\nf 3158 5836 5675\nf 1319 3158 5572\nf 1290 1392 5995\nf 5667 5767 5315\nf 5667 5315 6095\nf 1276 5525 5245\nf 1584 5652 5815\nf 1210 3576 3397\nf 3165 6092 1391\nf 3710 3628 3508\nf 3591 3670 5891\nf 3306 3397 3210\nf 1825 4958 14\nf 3210 5630 5410\nf 5323 3234 3145\nf 5630 3670 3427\nf 3376 3206 3159\nf 1311 3430 2166\nf 2702 5575 2510\nf 2113 5904 1630\nf 5305 3235 3839\nf 5892 1609 1720\nf 5240 1203 1185\nf 1609 5221 5440\nf 6088 5421 6165\nf 5713 5885 1197\nf 5436 1168 5819\nf 3403 1143 5483\nf 6115 5483 5655\nf 5960 3653 6019\nf 3588 3524 5409\nf 1537 5812 5923\nf 5841 3578 5691\nf 3578 3543 5691\nf 5471 5564 5934\nf 5555 3364 3436\nf 3114 3163 5580\nf 5740 5905 5555\nf 6014 3683 5997\nf 5908 5564 1126\nf 5252 3290 3410\nf 5795 1164 3290\nf 5324 3268 1337\nf 5663 3407 1337\nf 3290 1164 1643\nf 1123 5561 5957\nf 3035 5754 2639\nf 1421 6123 2639\nf 5966 5346 5754\nf 5302 5708 3333\nf 5966 5730 5936\nf 1126 5409 3524\nf 3354 5841 5614\nf 5987 5571 1195\nf 3589 5561 1123\nf 5241 3452 5686\nf 3331 3465 1323\nf 3370 5584 5856\nf 5694 2236 5237\nf 1354 3357 5250\nf 6159 5342 1024\nf 5654 6020 2236\nf 3640 5771 1333\nf 1399 5850 1304\nf 1399 1304 5425\nf 5320 1256 3689\nf 5954 5327 1256\nf 3347 1197 5439\nf 5241 3288 1283\nf 3288 1284 3364\nf 1282 3822 5366\nf 3195 1340 3338\nf 1197 5440 5713\nf 3475 6093 3122\nf 3475 1181 5524\nf 6112 5776 3504\nf 5945 1414 1181\nf 1110 1278 1302\nf 5694 1304 1196\nf 5515 1341 5524\nf 1209 5326 1115\nf 3398 5882 3540\nf 1235 6087 6102\nf 5942 5724 5524\nf 1251 3525 5278\nf 3379 3292 5607\nf 5988 5613 5246\nf 5988 3320 5613\nf 1162 5246 5950\nf 1265 2132 3262\nf 6140 5950 5707\nf 3479 5553 3198\nf 5553 6057 3198\nf 5656 1226 1469\nf 6140 3396 3480\nf 5267 3579 2286\nf 6061 5763 5598\nf 3545 3579 2247\nf 1112 3517 5772\nf 1112 5772 3355\nf 3579 5267 2247\nf 1148 5967 5506\nf 3425 1213 1269\nf 5967 1054 5506\nf 5598 1366 6089\nf 6100 6145 1265\nf 6154 1187 1232\nf 5406 3401 6156\nf 5598 6089 6061\nf 5891 5767 3639\nf 5891 3670 5735\nf 5967 6073 1054\nf 5530 5736 1570\nf 1215 5836 3534\nf 3670 3591 1184\nf 5652 5337 5815\nf 3210 3266 3306\nf 3306 3266 6046\nf 3210 1086 3266\nf 3734 1514 5635\nf 3145 3234 5525\nf 5630 3210 3397\nf 1086 3206 3376\nf 3159 5338 3376\nf 1853 1107 2705\nf 5667 5317 5767\nf 5889 5589 1177\nf 5735 5767 5891\nf 5999 5384 1111\nf 1289 5930 6092\nf 3426 5909 5621\nf 1311 3324 5186\nf 1309 3206 1086\nf 1151 1218 5566\nf 1402 3312 5461\nf 3308 5621 5579\nf 1320 3235 1216\nf 3189 1172 3485\nf 5960 6019 1246\nf 3577 5705 3432\nf 3526 3528 3476\nf 3403 5483 1201\nf 1410 5657 1143\nf 5440 1720 1609\nf 3586 5313 1241\nf 3403 5770 1310\nf 1421 3378 1126\nf 5328 3544 5655\nf 3477 6091 5905\nf 1217 6146 6091\nf 5908 5861 5934\nf 3275 2924 1477\nf 5564 5409 1126\nf 3737 3700 5472\nf 1039 940 1117\nf 2167 3259 1643\nf 5252 6074 5744\nf 2119 5346 5966\nf 3035 5252 5730\nf 3035 5795 5252\nf 3478 1283 6160\nf 5587 1591 5853\nf 3520 5904 3527\nf 1421 3524 6123\nf 3334 3333 3549\nf 3364 1180 6160\nf 3465 5883 3550\nf 1124 1323 3550\nf 3550 5883 3370\nf 2674 6120 1574\nf 1303 1110 1414\nf 3370 5883 2280\nf 5388 5255 6155\nf 1124 3122 5541\nf 3292 6093 5607\nf 1275 2133 4992\nf 3286 5444 1219\nf 3288 5241 6125\nf 1185 1522 3452\nf 5524 1181 5942\nf 1341 5515 3707\nf 3489 5805 5895\nf 1024 5771 6159\nf 5907 1078 3587\nf 6162 3331 5415\nf 5907 5327 1078\nf 1209 5134 3763\nf 5515 5724 6149\nf 5725 3707 6149\nf 1341 6093 5524\nf 1155 1032 2096\nf 6087 1277 6112\nf 3539 5988 1162\nf 1161 5645 6117\nf 5980 3320 5988\nf 5553 3363 3412\nf 5724 6102 6149\nf 1084 1155 2102\nf 1162 5950 6150\nf 3481 5612 3627\nf 3614 1145 3615\nf 3481 5613 1274\nf 3262 3434 1192\nf 1221 5854 5669\nf 5844 5261 5669\nf 1084 6147 5261\nf 5928 3517 1112\nf 1236 3362 5267\nf 1178 1128 5970\nf 1128 3626 5344\nf 5025 6039 918\nf 1128 3545 5970\nf 5951 2247 1103\nf 5707 5858 3358\nf 5344 3579 3545\nf 5612 1104 1236\nf 2247 5951 3545\nf 1064 5600 1153\nf 6085 3532 6008\nf 3360 1213 3425\nf 1103 5919 3360\nf 5406 3532 6085\nf 5970 5951 3425\nf 5951 1103 3360\nf 6156 3401 6004\nf 1064 6008 3532\nf 1229 6154 1232\nf 1229 6073 6154\nf 6061 3336 3434\nf 1229 3561 6073\nf 3400 3666 1130\nf 5772 1269 6085\nf 1313 3558 3606\nf 5457 3632 5228\nf 5588 3819 3658\nf 1313 5829 3558\nf 5317 3495 5599\nf 1232 6004 5559\nf 1232 5559 1229\nf 3694 1206 3666\nf 3495 3287 5599\nf 5389 5535 1332\nf 3306 1276 3397\nf 1238 5972 3508\nf 2166 3430 5874\nf 1238 5602 5972\nf 1154 1065 5647\nf 3446 5305 1402\nf 3446 5618 5305\nf 5837 3308 3839\nf 3508 3628 5229\nf 5319 2090 1225\nf 3590 3584 5335\nf 5660 5602 5363\nf 5660 1216 2166\nf 3584 880 5335\nf 1171 3612 3613\nf 5354 1137 5306\nf 5660 3562 1216\nf 5284 3430 1311\nf 5305 5618 3235\nf 1168 5233 5819\nf 1087 5518 3613\nf 1151 5284 1311\nf 5904 2113 3616\nf 6019 3526 1410\nf 1395 5563 3031\nf 5307 5573 5819\nf 5997 5471 6029\nf 3476 1217 6014\nf 5841 1720 5614\nf 5363 3638 3916\nf 5681 5558 5726\nf 5905 3588 3477\nf 5740 3436 3589\nf 6146 5273 5865\nf 3526 3494 5432\nf 5409 3477 3588\nf 3549 5708 5957\nf 3520 5621 1630\nf 1068 6171 3839\nf 1195 1408 3241\nf 3478 1101 5444\nf 4992 2133 3438\nf 3589 1284 5561\nf 1185 5916 5885\nf 1185 1203 5916\nf 5342 5805 3489\nf 1323 3465 3550\nf 3292 3122 6093\nf 6162 5415 1196\nf 5907 6159 3689\nf 2280 1050 3640\nf 1050 5320 3640\nf 5221 6158 5571\nf 1058 5516 5605\nf 2133 1050 3438\nf 1101 1219 5444\nf 5342 6159 3587\nf 1101 6163 1219\nf 1035 5321 3685\nf 6160 1101 3478\nf 2133 5320 1050\nf 2139 1255 1303\nf 5856 3550 3370\nf 5985 3538 1050\nf 1255 2139 3489\nf 6093 1341 5607\nf 1110 1138 1278\nf 3743 3537 6040\nf 2104 1145 3614\nf 6107 1159 5326\nf 2157 935 3614\nf 5926 2147 3537\nf 6112 3504 5645\nf 5922 1240 5777\nf 5922 1070 1240\nf 6087 5232 1277\nf 935 5927 2104\nf 3481 5830 5246\nf 935 823 5927\nf 3523 5278 5927\nf 3481 1274 5612\nf 5562 3619 1155\nf 6061 1301 3336\nf 3619 5368 1032\nf 5344 2286 3579\nf 1281 5230 1207\nf 1236 2286 5612\nf 5919 5272 3360\nf 3396 3358 3280\nf 3280 3480 3396\nf 3480 3479 3198\nf 3480 3280 1475\nf 3545 5951 5970\nf 1104 6147 2129\nf 3362 5876 5887\nf 5600 1064 3532\nf 3434 5763 6061\nf 5763 3671 5814\nf 3606 3400 1313\nf 1204 3760 5560\nf 5970 3425 3517\nf 3389 1169 3495\nf 5557 1204 5560\nf 1153 1187 5814\nf 5503 3787 6037\nf 3694 6004 3401\nf 5767 5317 3639\nf 5506 3495 5317\nf 5599 3639 5317\nf 5599 2851 3639\nf 5733 1319 1290\nf 1038 3639 2851\nf 3561 1229 3606\nf 3287 5389 2851\nf 6095 1393 5995\nf 5891 3639 1038\nf 3818 1134 5390\nf 1586 5932 3165\nf 3427 2234 5410\nf 6168 3642 6154\nf 1163 3500 2234\nf 5229 5285 3332\nf 1391 6092 1309\nf 3165 5932 6092\nf 1309 6092 5930\nf 1100 5647 3628\nf 5874 3430 1289\nf 1100 3710 1586\nf 1086 3376 3266\nf 1184 3591 6110\nf 1586 2234 3500\nf 5229 1238 3508\nf 1072 5263 960\nf 1100 3628 3710\nf 3430 5930 1289\nf 3165 2234 1586\nf 5972 5932 3710\nf 5647 1077 1154\nf 3330 5706 2264\nf 6007 5879 3244\nf 5495 5392 5879\nf 3692 2252 5379\nf 1111 1225 5999\nf 5959 1309 5930\nf 5797 3426 5837\nf 5378 5563 1079\nf 5495 5989 5392\nf 5989 5827 5392\nf 3612 1171 5797\nf 1065 5462 5263\nf 5319 3330 1179\nf 3584 3590 985\nf 5285 5706 5595\nf 3638 5384 3916\nf 1586 3500 1100\nf 6171 5305 3839\nf 5621 5909 1630\nf 1151 1311 5186\nf 1087 1225 1494\nf 880 3684 5335\nf 1111 5384 5595\nf 1410 3476 5657\nf 5471 5934 1140\nf 6014 5657 3476\nf 3477 5938 3683\nf 1756 5639 5726\nf 1477 5543 5861\nf 1246 6098 5960\nf 5321 1036 3685\nf 1195 6158 1408\nf 1195 5571 6158\nf 5916 4992 3195\nf 1203 2134 1275\nf 6160 3288 3364\nf 5773 3334 3549\nf 1124 3550 5856\nf 1399 3458 5850\nf 5366 3822 5965\nf 3822 5355 5965\nf 3286 2134 5444\nf 2134 3478 5444\nf 2133 1275 5429\nf 5899 3496 5327\nf 1035 5273 5321\nf 1036 3865 5449\nf 5921 3334 5987\nf 1255 5895 1138\nf 3489 5895 1255\nf 1256 5327 5907\nf 3587 3762 5342\nf 987 1138 5895\nf 1110 1255 1138\nf 1110 1303 1255\nf 2139 1024 3489\nf 3565 5725 5922\nf 1340 1399 5425\nf 3370 2280 1333\nf 3699 5721 5765\nf 5954 5899 5327\nf 1278 6040 6048\nf 2157 823 935\nf 5942 1302 1235\nf 1302 5232 1235\nf 5645 6149 6102\nf 3525 1082 1159\nf 6087 6112 6102\nf 1278 6048 5232\nf 5882 1221 6119\nf 3320 6119 3399\nf 5261 5844 1084\nf 5553 3412 3381\nf 6119 1221 5669\nf 5876 1156 6103\nf 3360 5272 1213\nf 2286 1236 5267\nf 5230 5743 3602\nf 6057 5250 5777\nf 5887 3618 1103\nf 3399 5261 6147\nf 3517 1269 5772\nf 5267 5887 2247\nf 5246 5613 3481\nf 769 5406 6085\nf 3627 5830 3481\nf 5025 5919 3769\nf 5600 6156 5991\nf 2795 5588 3764\nf 3531 769 3741\nf 3400 1130 1313\nf 1130 1021 3658\nf 3658 1021 5588\nf 1021 6017 5588\nf 1204 3531 3741\nf 5315 5767 5735\nf 5559 3400 3606\nf 5559 3694 3666\nf 5503 5818 1417\nf 6110 5635 3499\nf 6110 3591 3734\nf 3591 1038 3734\nf 5389 5390 5535\nf 5836 1053 5893\nf 1345 3501 1319\nf 3500 1163 3499\nf 3710 3508 5972\nf 3165 5410 2234\nf 5999 1225 1087\nf 3500 1077 1100\nf 3430 5284 5930\nf 5874 5602 5660\nf 5780 3613 3612\nf 3499 1077 3500\nf 3499 1163 6110\nf 1216 3324 2166\nf 5623 1063 5452\nf 5349 2090 5306\nf 1179 5354 5306\nf 3415 5287 1154\nf 6066 718 3775\nf 6066 5796 718\nf 5319 1179 5306\nf 3597 1137 5301\nf 5755 3634 3601\nf 5595 5706 3330\nf 5394 3779 1300\nf 3315 5275 5545\nf 6000 2078 6122\nf 6157 5590 1095\nf 5413 6157 1095\nf 6086 2151 3547\nf 6157 5239 5590\nf 6157 5413 3573\nf 6086 2078 2151\nf 5033 3605 3849\nf 5521 5376 5880\nf 3177 3673 5383\nf 3177 3849 3673\nf 1314 1175 5276\nf 3569 2681 3535\nf 3421 6137 1088\nf 2151 5731 3546\nf 1125 1135 5467\nf 6137 5502 1088\nf 866 1133 5467\nf 3099 3505 6122\nf 3099 5996 3516\nf 5989 5779 933\nf 5460 6151 3843\nf 3419 3843 5236\nf 6041 5227 927\nf 6080 5963 6007\nf 3761 990 5963\nf 5813 5963 6080\nf 2131 1001 5798\nf 968 3779 5394\nf 1001 2131 3675\nf 927 3761 1250\nf 5881 5545 3492\nf 3609 5918 3245\nf 3490 3492 5275\nf 968 995 3779\nf 5833 5412 1089\nf 3590 5349 985\nf 3601 5909 3655\nf 1630 5904 3520\nf 5378 1409 5960\nf 5378 5960 6098\nf 3601 2113 5909\nf 3419 5813 5301\nf 880 5755 3684\nf 3597 3244 1249\nf 3244 5879 5392\nf 3330 5319 1111\nf 3330 2264 3703\nf 985 3321 3584\nf 6019 3494 3526\nf 3653 3527 3494\nf 5797 3655 3426\nf 5999 1087 3613\nf 6091 3477 3683\nf 3476 1410 3526\nf 1342 5271 1395\nf 1246 1310 2044\nf 6019 3653 3494\nf 3477 5409 5938\nf 5740 3588 5905\nf 1203 1275 4992\nf 5899 1083 3496\nf 3592 3783 5765\nf 5768 5668 3594\nf 3689 6159 5771\nf 5273 3533 1233\nf 3762 1078 6167\nf 5921 3241 2878\nf 3656 5805 5366\nf 5326 1209 6107\nf 1138 987 6040\nf 1394 1641 3817\nf 1082 1394 1159\nf 3656 5459 987\nf 6159 5907 3587\nf 1181 1414 5942\nf 2280 3640 1333\nf 3656 5965 5459\nf 5895 3656 987\nf 5355 3592 5765\nf 6126 5418 1234\nf 3817 1641 5266\nf 5134 1115 6172\nf 5459 5958 5466\nf 5134 6172 5418\nf 6126 1234 1281\nf 6057 5553 5250\nf 3763 2104 5927\nf 5369 3748 1094\nf 1281 3615 1145\nf 1064 1153 3671\nf 5844 5854 1207\nf 3627 2286 5344\nf 1240 6057 5777\nf 3741 918 1204\nf 5669 5854 5844\nf 5025 3741 5272\nf 5272 5919 5025\nf 1274 1104 5612\nf 5562 3602 5955\nf 3517 5928 5970\nf 5267 3362 5887\nf 931 5858 5707\nf 1252 5763 3434\nf 3694 5557 1206\nf 5560 3632 5457\nf 5373 3748 1061\nf 5478 4015 3506\nf 3787 5503 5333\nf 6037 2795 5503\nf 6039 5783 1094\nf 6004 1232 5991\nf 1054 6073 3561\nf 5675 5572 3158\nf 5967 1148 3488\nf 5967 3488 5900\nf 1206 5557 5560\nf 1071 6121 5993\nf 3409 5829 3819\nf 5390 3409 3818\nf 3409 5390 5389\nf 3593 5722 3596\nf 3409 3819 3818\nf 3427 5410 5630\nf 3959 3955 760\nf 1065 5263 1072\nf 5263 3959 960\nf 5523 3766 967\nf 960 3959 760\nf 3628 5647 3372\nf 3628 3372 5229\nf 1033 3803 2245\nf 3803 907 2245\nf 1149 3647 5778\nf 5647 1100 1077\nf 921 5372 3766\nf 3753 1085 3863\nf 1314 1176 1175\nf 3503 788 1314\nf 5276 5386 5156\nf 6086 3547 5295\nf 3599 658 3177\nf 5238 3535 5487\nf 5631 6157 3573\nf 2151 3546 3547\nf 5475 1572 3570\nf 2682 5487 3535\nf 6000 5520 1642\nf 2078 5731 2151\nf 6086 6122 2078\nf 6086 5295 3099\nf 3766 3775 967\nf 984 5700 3556\nf 5354 5301 1137\nf 3751 1139 3556\nf 5455 3692 5379\nf 3863 4038 5796\nf 3692 5285 3416\nf 6012 3713 1412\nf 2152 1125 5467\nf 2152 1122 1125\nf 6137 5683 5546\nf 3673 3849 5427\nf 5400 5467 1133\nf 3709 1052 5400\nf 3850 3605 1007\nf 3629 3767 5427\nf 3391 5625 6070\nf 6025 2141 5758\nf 3641 5322 3844\nf 5453 1136 5868\nf 6139 5431 5627\nf 5800 2077 1013\nf 5800 5568 2077\nf 5568 2153 2077\nf 1176 2195 1131\nf 971 5620 3649\nf 3368 5823 3714\nf 1007 2152 1052\nf 6133 1007 1052\nf 1122 2682 1125\nf 1572 5412 5996\nf 6152 5833 5548\nf 5620 971 3365\nf 2118 3645 5548\nf 5996 3486 3516\nf 5833 5842 3315\nf 3582 1074 5975\nf 3099 5295 5996\nf 6152 3794 5842\nf 3568 5030 5475\nf 5030 3608 5475\nf 3547 3570 5295\nf 3713 6012 3503\nf 1047 1005 5501\nf 5880 3629 5450\nf 5427 3850 3630\nf 5376 5413 3568\nf 5376 3568 3570\nf 3713 3503 1314\nf 5427 3849 3850\nf 5431 2146 971\nf 3644 5303 5402\nf 6133 5586 3630\nf 5586 2201 5450\nf 3503 1205 788\nf 1205 2193 788\nf 5620 5497 1170\nf 1047 3439 5727\nf 996 3677 3675\nf 687 5716 6135\nf 3608 5497 5548\nf 3245 5458 3609\nf 5798 4029 2131\nf 1081 3812 1023\nf 3794 5616 5268\nf 1300 3413 3263\nf 1250 5963 5813\nf 1179 5764 5354\nf 5764 984 3708\nf 2083 5879 6007\nf 6082 2109 1692\nf 1579 2042 6151\nf 5741 1312 5534\nf 5392 5827 1249\nf 5408 5270 2238\nf 6007 3244 6080\nf 3419 5236 5813\nf 5811 1224 3521\nf 967 3775 5808\nf 5518 1171 3613\nf 5518 3684 3581\nf 3708 966 3843\nf 966 5460 3843\nf 5827 5989 3521\nf 1224 5924 3584\nf 1224 3584 3321\nf 1300 3779 3413\nf 6059 5458 3245\nf 5716 687 4029\nf 5798 5716 4029\nf 1001 2088 5798\nf 3779 6034 3413\nf 3413 3342 3263\nf 2088 3509 5310\nf 5534 1312 3342\nf 6111 6151 2042\nf 5918 687 3245\nf 5475 3608 1089\nf 3518 5918 3609\nf 5236 6151 6111\nf 6059 1237 3736\nf 2113 3634 3616\nf 3581 3601 3655\nf 3581 1171 5518\nf 3655 5797 1171\nf 3562 5660 5363\nf 5335 1494 3590\nf 985 5225 3321\nf 5306 1137 5349\nf 5563 1395 5271\nf 3684 5518 5335\nf 1137 5225 5349\nf 1079 3308 5579\nf 3308 5837 3426\nf 880 5924 5465\nf 1201 3543 3447\nf 5507 1605 5543\nf 3653 1409 3520\nf 1117 2106 5668\nf 3653 5960 1409\nf 5709 2593 5316\nf 1039 5226 940\nf 5432 3494 2110\nf 6163 1083 5899\nf 3685 1036 3845\nf 5304 5605 3845\nf 1275 2134 3286\nf 1219 5899 5954\nf 5472 3700 1117\nf 5565 3993 3742\nf 3526 5432 3528\nf 5432 3657 3533\nf 3729 5608 1011\nf 3179 1083 3845\nf 5921 5987 1195\nf 3865 3594 3595\nf 5438 5516 3783\nf 3743 5466 5926\nf 897 6036 1011\nf 5805 5342 1282\nf 5342 3762 1282\nf 3762 3750 1282\nf 3663 5254 5466\nf 3750 5438 3592\nf 5355 3822 3592\nf 5366 5805 1282\nf 5438 3783 3592\nf 3763 5927 5278\nf 1277 6048 3572\nf 6102 5724 1235\nf 1145 2104 1099\nf 3763 1099 2104\nf 6147 2102 2129\nf 3603 5264 3598\nf 3525 1159 6107\nf 5670 1070 1161\nf 1281 5854 3615\nf 3626 3627 5344\nf 3760 5884 3632\nf 1269 1213 6085\nf 5670 3398 3540\nf 3748 5884 1094\nf 5562 1084 5844\nf 1070 5670 3540\nf 3741 5025 918\nf 1070 5922 1161\nf 1098 5407 5039\nf 5407 4201 5039\nf 5368 6161 3603\nf 5919 1103 3618\nf 5876 6103 5286\nf 6156 6004 5991\nf 5560 5457 1206\nf 5600 5991 1153\nf 6004 3694 5559\nf 3531 3401 5406\nf 3531 5557 3401\nf 2795 3764 5818\nf 5818 3764 1028\nf 6156 5600 3532\nf 3819 6037 3818\nf 5317 5500 1148\nf 5315 5735 1210\nf 5675 5742 5572\nf 1075 5223 3593\nf 1075 1071 5223\nf 2851 1332 1038\nf 5029 6067 3803\nf 5778 3647 6108\nf 5462 1065 1154\nf 3427 1163 2234\nf 1065 1072 3372\nf 5647 1065 3372\nf 3416 5229 3372\nf 3556 5523 984\nf 1514 3593 3596\nf 3734 1038 1332\nf 5462 1141 3788\nf 3415 1154 1077\nf 3788 3959 5263\nf 5225 985 5349\nf 3415 5635 3596\nf 718 3599 5383\nf 6131 2042 1579\nf 6131 6000 1642\nf 2201 5586 1412\nf 6131 3776 1097\nf 5731 2078 1097\nf 1397 5383 3673\nf 3652 5929 3761\nf 984 5764 5700\nf 984 5523 966\nf 5285 5229 3416\nf 5523 921 3766\nf 5293 955 840\nf 1013 5875 5800\nf 3265 1016 2081\nf 1175 1093 5912\nf 3836 3641 3844\nf 1017 5509 3836\nf 788 1176 1314\nf 3850 3849 3605\nf 5521 2201 3573\nf 5487 658 5238\nf 5673 5902 3914\nf 1135 1051 866\nf 5897 6170 5860\nf 5509 6070 3668\nf 6170 5897 2081\nf 2081 1059 6170\nf 6128 3688 5428\nf 2081 1016 1059\nf 2080 2141 6025\nf 1208 6025 5758\nf 3836 5509 3641\nf 5467 1135 866\nf 3795 1106 3536\nf 1131 5568 1231\nf 5800 5875 3424\nf 6056 3636 5753\nf 3424 3636 6056\nf 3424 3560 3636\nf 3625 1118 3421\nf 3560 5984 5715\nf 2153 1131 2195\nf 1175 5912 5276\nf 1059 3836 6170\nf 5358 1136 977\nf 5823 3815 3768\nf 3305 5820 6109\nf 3365 3927 2118\nf 1005 5912 3510\nf 3305 2085 5753\nf 3305 5753 2107\nf 5620 1170 3649\nf 5838 3582 2225\nf 3794 3957 5842\nf 3570 1572 5295\nf 5842 3957 3518\nf 5838 1074 3582\nf 3570 3568 5475\nf 3629 3630 5450\nf 3516 3505 3099\nf 1091 1362 3505\nf 1093 2085 3510\nf 1170 5497 5030\nf 1170 5030 1095\nf 5880 5450 5521\nf 5620 2118 5497\nf 3573 2201 5631\nf 5239 5156 5627\nf 5156 5386 3793\nf 1093 1231 2085\nf 3881 822 5268\nf 971 2146 3806\nf 5975 996 3675\nf 6010 5339 1074\nf 1027 5940 998\nf 5979 3927 3365\nf 3541 989 3509\nf 5268 3957 3794\nf 1637 5533 5628\nf 5842 5833 6152\nf 5918 3957 822\nf 3957 5918 3518\nf 5643 5442 3922\nf 5716 2066 1426\nf 857 5626 6026\nf 1300 5458 5394\nf 1045 3834 5977\nf 5920 996 5434\nf 5643 3922 3691\nf 5370 6130 2945\nf 2088 1223 3509\nf 2118 3927 3645\nf 1362 5520 3505\nf 6122 6086 3099\nf 5309 1041 1102\nf 3708 3843 3419\nf 5354 3419 5301\nf 990 5786 2083\nf 1249 5827 3321\nf 3621 1692 2109\nf 2949 5879 2083\nf 5811 5924 1224\nf 5827 1224 3321\nf 5490 5784 3418\nf 1062 852 5810\nf 913 3781 5622\nf 3781 3893 5622\nf 1279 5832 5318\nf 5268 822 3957\nf 5318 5832 3693\nf 1298 1041 5309\nf 6059 3736 5394\nf 3609 5458 3490\nf 5821 5393 1280\nf 5236 1250 5813\nf 5929 3652 1102\nf 6041 2042 1642\nf 3856 968 3736\nf 1237 5539 3736\nf 3374 1020 5786\nf 3856 729 968\nf 5518 1087 1494\nf 5595 3330 1111\nf 5622 4279 1006\nf 2061 4073 1056\nf 1494 2090 3590\nf 3597 1249 5225\nf 3613 5780 5999\nf 3601 3634 2113\nf 3616 3634 1039\nf 3616 1039 3700\nf 2106 1055 1056\nf 1055 3848 1056\nf 3683 6014 1217\nf 5997 3394 6014\nf 3715 4279 2202\nf 3394 5657 6014\nf 5770 3447 1747\nf 1146 3737 2110\nf 5954 1256 5429\nf 1068 5271 6075\nf 1039 3634 964\nf 1256 5320 5429\nf 5449 3661 1058\nf 5516 3662 3867\nf 5605 5304 1058\nf 1083 3685 3845\nf 1058 3661 3662\nf 3594 1233 5768\nf 846 3789 3663\nf 1217 3528 6146\nf 1217 3476 3528\nf 3179 5438 6167\nf 3594 4073 3595\nf 6164 3702 5826\nf 987 5459 3743\nf 3664 5721 846\nf 3822 3750 3592\nf 3712 3519 936\nf 3559 1296 6172\nf 6048 6040 3537\nf 1278 1138 6040\nf 6126 1281 1145\nf 3702 6164 897\nf 6117 3398 5670\nf 3774 5357 1531\nf 3399 1274 3320\nf 1099 3763 5134\nf 3626 5858 931\nf 3615 1221 5353\nf 3626 1178 5858\nf 5668 5472 1117\nf 1096 1012 5569\nf 928 3825 3755\nf 3614 5353 2157\nf 1234 5230 1281\nf 5896 3790 5269\nf 3602 5844 1207\nf 3614 3615 5353\nf 3602 5743 5955\nf 1084 5562 1155\nf 5286 5494 3769\nf 3425 5951 3360\nf 5506 1054 3389\nf 5772 6008 3355\nf 3532 5406 6156\nf 3399 6119 5669\nf 918 3760 1204\nf 1032 5368 3603\nf 5562 5844 3602\nf 1221 3615 5854\nf 3598 3506 5783\nf 6103 5350 5286\nf 5272 769 1213\nf 1187 5991 1232\nf 3666 3400 5559\nf 3401 5557 3694\nf 5818 5503 2795\nf 3759 953 1417\nf 5991 1187 1153\nf 3769 5494 5783\nf 3642 1187 6154\nf 5029 3529 3942\nf 5317 1148 5506\nf 6121 1134 3818\nf 3287 1169 3409\nf 1072 2252 3416\nf 5389 3287 3409\nf 5364 759 907\nf 2264 5700 3703\nf 3530 5695 1141\nf 5455 2264 5706\nf 3955 2245 5834\nf 3942 4018 6067\nf 1391 3210 5410\nf 1141 5695 3788\nf 5635 6110 3734\nf 3877 2220 6108\nf 3638 5602 1238\nf 2240 978 3607\nf 3607 3704 2240\nf 3753 1003 1085\nf 718 5796 3599\nf 3419 5354 3708\nf 6080 5301 5813\nf 5706 3692 5455\nf 5796 6066 3037\nf 5383 3599 3177\nf 5319 1225 1111\nf 5731 3767 3546\nf 1494 5335 5518\nf 3684 3601 3581\nf 3703 1179 3330\nf 3863 5582 3753\nf 3703 5764 1179\nf 5306 2090 5319\nf 2090 1494 1225\nf 3638 1238 3332\nf 1135 5402 1051\nf 5402 5303 2275\nf 5297 3690 866\nf 3720 1080 3571\nf 3720 3725 1080\nf 866 3690 1133\nf 3850 1007 6133\nf 3690 3625 1133\nf 3910 5761 5542\nf 1051 5297 866\nf 3835 1264 5474\nf 5546 1297 5502\nf 5897 5293 2081\nf 2081 5293 3265\nf 1118 3910 5542\nf 5329 999 3723\nf 999 5480 5914\nf 5914 3723 999\nf 3914 5902 920\nf 5860 5322 5673\nf 955 3914 920\nf 6069 4255 3918\nf 5913 977 1106\nf 5840 4193 952\nf 6128 5875 2265\nf 6170 3844 5860\nf 6170 3836 3844\nf 1017 3836 1059\nf 2077 5502 1013\nf 5568 5800 6056\nf 1136 5933 5868\nf 3795 3646 5913\nf 5875 1013 3637\nf 959 3949 2073\nf 959 5358 994\nf 3636 5715 2107\nf 5715 3536 2107\nf 2124 3991 994\nf 1005 5386 5912\nf 3611 3881 5268\nf 1047 5906 3439\nf 3611 3582 5975\nf 3768 3815 1076\nf 5627 3649 5590\nf 5627 5431 3649\nf 5431 971 3649\nf 3768 3686 3947\nf 5975 3881 3611\nf 5475 1089 1572\nf 3927 5619 3791\nf 3518 5275 3315\nf 5545 3486 3315\nf 1572 1089 5412\nf 3927 3791 3645\nf 1113 1023 5533\nf 5156 3793 5627\nf 5339 5434 1074\nf 5339 2207 5434\nf 3568 1095 5030\nf 5413 5376 5521\nf 1091 1312 1362\nf 5339 6052 2207\nf 998 5940 6052\nf 996 5975 1074\nf 5616 3791 2225\nf 5628 1027 998\nf 996 5920 3677\nf 3583 3541 6006\nf 1426 1237 6135\nf 1113 1081 1023\nf 5682 974 3857\nf 5716 5798 2066\nf 3665 3950 3749\nf 6169 3922 3583\nf 3677 1223 1001\nf 3677 6169 6006\nf 3677 5920 6169\nf 5643 5224 5345\nf 5682 3857 5609\nf 3522 5318 2126\nf 3654 2207 3691\nf 6006 1223 3677\nf 3583 5442 911\nf 5310 3155 2066\nf 5838 5619 1637\nf 995 1014 5367\nf 927 5227 3652\nf 3342 5690 3263\nf 5690 1312 1091\nf 1004 5741 5227\nf 3761 5963 1250\nf 3342 1298 5534\nf 5309 1102 5227\nf 5929 3621 3374\nf 1096 5490 847\nf 5929 3374 5786\nf 5569 3862 5784\nf 1249 3321 5225\nf 1249 3244 5392\nf 5784 3862 3781\nf 3761 5929 990\nf 913 5622 4989\nf 1642 2042 6131\nf 5609 5832 5393\nf 3650 5318 3693\nf 2126 3728 857\nf 3413 6034 1298\nf 5626 3864 6026\nf 857 6026 3856\nf 5539 3856 3736\nf 1044 5308 3650\nf 5609 3585 3944\nf 5626 5977 3864\nf 6151 5236 3843\nf 1298 6034 1041\nf 1692 3621 1041\nf 1579 3776 6131\nf 3859 1014 3864\nf 2202 3848 1055\nf 3916 5384 5999\nf 1039 1117 3700\nf 5924 880 3584\nf 1062 5810 847\nf 2238 5260 6038\nf 2138 913 5811\nf 991 5989 5495\nf 2137 5847 3837\nf 6101 1006 5226\nf 3715 2202 1055\nf 5472 5668 5768\nf 3616 1146 5904\nf 3685 6163 1035\nf 3685 1083 6163\nf 3845 5605 3179\nf 5621 3520 5579\nf 5605 5438 3179\nf 3617 3732 6104\nf 6163 1101 1035\nf 4073 5668 2106\nf 5909 3426 3655\nf 5776 823 3504\nf 3822 1282 3750\nf 935 2104 3614\nf 1302 1278 5232\nf 3661 2061 5511\nf 1058 3662 5516\nf 5355 3664 5965\nf 3702 897 1641\nf 3594 3865 1233\nf 3595 3661 5449\nf 5954 5429 3286\nf 6104 3848 3617\nf 3742 6164 5826\nf 5355 5721 3664\nf 3742 1114 6164\nf 1641 1394 3789\nf 5633 3712 936\nf 5958 5459 5965\nf 1082 5926 5254\nf 2178 1531 1031\nf 1115 5326 3519\nf 3523 3572 1251\nf 3399 1104 1274\nf 1145 1099 6126\nf 3572 3537 1251\nf 3600 1531 5357\nf 3682 3809 3681\nf 1031 5824 2178\nf 1098 5039 5687\nf 5976 3874 5385\nf 6172 1057 3559\nf 3672 1073 6009\nf 5743 2084 5955\nf 3633 3559 5852\nf 1234 5418 1296\nf 916 5604 938\nf 3320 5980 6119\nf 5988 3539 5980\nf 3539 3540 5980\nf 5604 3814 938\nf 5884 6039 1094\nf 5369 1061 3748\nf 6103 2096 1032\nf 3748 5373 3632\nf 820 4201 824\nf 3531 1204 5557\nf 3666 6113 1130\nf 5264 5478 3506\nf 5369 1094 3506\nf 1169 3287 3495\nf 3831 3929 5478\nf 6037 3787 6121\nf 6017 6113 5457\nf 3780 3974 800\nf 1130 3658 1313\nf 3658 5829 1313\nf 3829 5036 4015\nf 3558 3389 3561\nf 5829 1169 3558\nf 5993 3647 1511\nf 3647 1149 1511\nf 3530 5722 3529\nf 2851 5389 1332\nf 3529 5029 3530\nf 6060 5452 6065\nf 6065 1025 6060\nf 5463 5372 921\nf 6065 5452 2240\nf 3612 1320 3562\nf 1141 5831 3530\nf 5660 2166 5874\nf 3703 5700 5764\nf 5372 5582 3037\nf 1088 2153 1132\nf 5297 3835 3910\nf 2195 2193 1132\nf 3644 3535 2681\nf 3713 1109 1412\nf 1144 5303 2681\nf 1144 922 5303\nf 1205 3503 3709\nf 1051 5402 2275\nf 2195 1132 2153\nf 1144 950 922\nf 1019 718 5383\nf 5314 2172 3391\nf 5033 3849 3177\nf 5314 5711 2172\nf 5400 1205 3709\nf 3914 5897 5860\nf 5322 5603 5943\nf 5603 1048 5943\nf 5474 3391 6070\nf 920 3800 3571\nf 5474 1264 3391\nf 1264 5314 3391\nf 792 957 5792\nf 5529 949 5329\nf 5625 6002 6016\nf 1264 3679 5314\nf 5914 5803 3723\nf 5249 843 5851\nf 2141 2080 3265\nf 2265 5875 3637\nf 6128 3560 3424\nf 840 3797 3563\nf 5249 5615 5758\nf 5758 2141 843\nf 5542 5761 1017\nf 5761 5509 1017\nf 5753 2085 1231\nf 888 3368 975\nf 5501 1005 3510\nf 1131 1231 1093\nf 5820 5453 5868\nf 1132 3421 1088\nf 5984 3846 3795\nf 5758 843 5249\nf 986 976 5606\nf 4193 3882 952\nf 1297 5546 1016\nf 5683 5542 6106\nf 3882 3801 4255\nf 5683 1118 5542\nf 5453 977 1136\nf 975 6109 5820\nf 5453 1106 977\nf 5868 888 975\nf 3768 1076 3686\nf 5753 3636 2107\nf 5868 5933 888\nf 5400 1133 1205\nf 2225 5619 5838\nf 5732 5933 3687\nf 6143 5527 1076\nf 3792 5544 896\nf 5806 3714 3947\nf 5413 5521 3573\nf 3714 3768 3947\nf 3714 5823 3768\nf 1637 6010 5838\nf 3582 3611 2225\nf 5727 3439 5806\nf 3368 5906 975\nf 5979 5619 3927\nf 5434 2207 3654\nf 5979 5533 5619\nf 3691 2207 3765\nf 5620 3365 2118\nf 5628 1023 1027\nf 3654 5920 5434\nf 3693 3944 1044\nf 1279 3522 3676\nf 1426 6031 1237\nf 997 1280 1279\nf 5609 3693 5832\nf 3665 3876 3950\nf 3922 5442 3583\nf 5107 6141 3749\nf 3898 3951 3816\nf 3777 3665 858\nf 5274 790 3740\nf 2066 2088 5310\nf 6034 995 6082\nf 5270 3727 2238\nf 5367 3859 965\nf 3859 6015 965\nf 5430 3648 5034\nf 6015 3747 867\nf 5227 5741 5309\nf 3621 2109 3374\nf 6038 5495 2949\nf 6038 1062 991\nf 5034 5270 1020\nf 6007 990 2083\nf 5034 1020 3374\nf 6038 852 1062\nf 3862 3893 3781\nf 3933 3821 3999\nf 3541 6130 5370\nf 3834 3833 5977\nf 3650 2126 5318\nf 857 5539 2126\nf 867 5712 5693\nf 1237 6031 5539\nf 729 1014 995\nf 1692 6034 6082\nf 3648 5693 906\nf 1102 3652 5227\nf 5779 847 3418\nf 5226 1006 3715\nf 3862 1043 3893\nf 1043 973 919\nf 973 1043 3862\nf 5810 5855 1096\nf 3521 5989 933\nf 928 3755 5855\nf 919 6021 5847\nf 1410 1310 1246\nf 3418 847 5490\nf 1146 3700 3737\nf 3533 3528 5432\nf 5668 4073 3594\nf 3520 3527 3653\nf 6091 3683 1217\nf 6163 5899 1219\nf 3595 4073 2061\nf 5565 3742 3699\nf 1146 2110 3527\nf 3921 3733 972\nf 5449 1058 5304\nf 1078 3762 3587\nf 3631 3390 5565\nf 6167 5438 3750\nf 3994 5511 3810\nf 897 1011 5266\nf 1024 5342 3489\nf 3390 3993 5565\nf 1082 2147 5926\nf 2147 3525 1251\nf 3733 725 3981\nf 5958 3663 5466\nf 5958 3664 3663\nf 3664 846 3663\nf 5232 6048 1277\nf 3523 5776 3572\nf 3523 823 5776\nf 6117 5645 3504\nf 3600 3669 1031\nf 3525 2147 1082\nf 1115 5134 1209\nf 3398 2157 5353\nf 5633 936 3817\nf 1115 1057 6172\nf 5243 6033 771\nf 1031 1531 3600\nf 5752 852 5260\nf 5531 3738 3755\nf 5752 928 852\nf 5226 3715 940\nf 3781 913 2138\nf 928 5810 852\nf 3519 1057 1115\nf 5235 5537 5420\nf 3813 2182 5678\nf 5420 5537 5976\nf 3971 6009 3773\nf 3519 3873 1057\nf 3712 5633 3711\nf 3971 5414 6009\nf 2084 3771 1098\nf 5278 1209 3763\nf 5687 3619 5955\nf 5687 5368 3619\nf 5852 1116 5385\nf 5824 1031 3669\nf 5687 5039 5368\nf 2654 5655 1143\nf 3853 4028 5756\nf 6103 1032 5350\nf 5494 5286 5350\nf 6039 5025 3769\nf 6116 4083 3757\nf 1061 5036 3759\nf 6113 3666 1206\nf 2795 3819 5588\nf 3606 1229 5559\nf 1130 6113 1021\nf 3606 3558 3561\nf 1417 5818 3759\nf 3780 5807 3974\nf 918 6039 5884\nf 2069 3780 800\nf 5032 6108 3647\nf 5778 4018 1149\nf 5032 5993 3787\nf 5722 5223 3529\nf 5722 3593 5223\nf 5722 3530 5831\nf 5287 1141 5462\nf 6121 1071 1134\nf 1511 5223 1071\nf 981 929 5804\nf 5592 3756 875\nf 5364 907 908\nf 3607 5291 3704\nf 3718 2120 6134\nf 2120 5939 6134\nf 5939 5464 3937\nf 1139 5463 921\nf 6060 5623 5452\nf 3832 5804 980\nf 3678 978 5452\nf 3678 1090 3719\nf 5695 3803 1033\nf 1090 905 3719\nf 760 3955 1090\nf 1090 3955 5834\nf 5523 3556 921\nf 5402 1125 3644\nf 3569 5238 5869\nf 2682 3535 3644\nf 2681 5303 3644\nf 5372 5463 3705\nf 2252 1072 5623\nf 3869 2144 2314\nf 4199 5110 2144\nf 5372 6066 3766\nf 5636 950 948\nf 950 850 948\nf 950 5510 850\nf 1532 2216 5510\nf 6012 6133 1052\nf 5297 1051 3946\nf 6012 5586 6133\nf 3630 3850 6133\nf 2275 5303 922\nf 2681 1532 1144\nf 5470 3939 3941\nf 3630 3629 5427\nf 4038 3599 5796\nf 1744 1019 5383\nf 5402 1135 1125\nf 5510 1144 1532\nf 2216 1532 3643\nf 5510 2216 5470\nf 5529 5329 5570\nf 5761 3835 5474\nf 5761 3910 3835\nf 5625 2172 1046\nf 956 957 5468\nf 3910 3690 5297\nf 3725 5294 6072\nf 3901 600 2256\nf 3914 5860 5673\nf 1080 3725 6072\nf 986 1002 6069\nf 843 840 3563\nf 3620 1208 5758\nf 2087 2209 2089\nf 5160 2256 600\nf 3688 5606 5428\nf 2087 2089 2082\nf 6069 3918 976\nf 1106 2222 3536\nf 1131 2153 5568\nf 5615 1002 986\nf 1049 976 993\nf 3625 2193 1133\nf 1231 5568 6056\nf 3510 2085 3567\nf 3722 5249 1026\nf 1106 5453 2222\nf 3305 2222 5820\nf 1136 5358 2073\nf 5868 975 5820\nf 5715 3795 3536\nf 5715 5984 3795\nf 3439 3714 5806\nf 3947 1081 5825\nf 2225 3611 5616\nf 5527 5448 1008\nf 5727 5806 2146\nf 5825 1081 1113\nf 3793 1005 1047\nf 6010 1074 5838\nf 3793 5386 1005\nf 5239 5631 1109\nf 3686 3812 1081\nf 5527 988 1076\nf 5239 6157 5631\nf 5616 6152 3645\nf 3691 3922 3654\nf 5616 3794 6152\nf 1027 5672 2306\nf 3812 988 3745\nf 5906 6109 975\nf 5501 3567 6109\nf 5030 5497 3608\nf 3777 858 5345\nf 6077 4008 937\nf 6077 5968 6052\nf 6006 3541 3509\nf 5920 3654 6169\nf 5345 969 3777\nf 790 6136 3740\nf 969 3740 3816\nf 5650 2097 784\nf 5310 989 3676\nf 5367 6082 995\nf 585 740 5446\nf 5270 5408 1020\nf 856 4894 2242\nf 5693 5712 934\nf 3747 5747 585\nf 906 3778 3727\nf 990 6007 5963\nf 5719 3854 5341\nf 5226 1039 964\nf 5270 906 3727\nf 5034 3648 906\nf 5855 1012 1096\nf 3999 5145 2086\nf 2126 3650 3728\nf 1044 3650 3693\nf 3541 5370 989\nf 3933 2003 3821\nf 2097 86 735\nf 1014 3859 5367\nf 2097 3935 784\nf 3648 867 5693\nf 5308 1045 3728\nf 5941 784 3935\nf 968 729 995\nf 2097 735 3935\nf 5308 3728 3650\nf 3682 3796 2137\nf 3657 2110 3737\nf 5465 5755 880\nf 581 1114 972\nf 671 666 2278\nf 5784 3781 2138\nf 4037 3954 4036\nf 919 5982 6021\nf 1117 940 2106\nf 6167 1078 3496\nf 1078 5327 3496\nf 3418 5784 2138\nf 6022 5924 5811\nf 3700 1146 3616\nf 5765 3631 3699\nf 5826 5721 3699\nf 1056 3848 6104\nf 5662 5847 2137\nf 3810 992 3847\nf 5983 2092 3786\nf 3867 3390 3631\nf 3848 2202 3681\nf 815 4823 3101\nf 5385 5896 5852\nf 1114 3808 6036\nf 6040 987 3743\nf 2288 4046 1040\nf 846 5721 5826\nf 3664 5958 5965\nf 2063 4076 3907\nf 5976 5385 1116\nf 3808 581 3785\nf 2178 3873 3712\nf 1221 5882 5353\nf 5633 3817 5266\nf 5341 5949 5719\nf 5166 2173 904\nf 2173 4075 2278\nf 5622 1006 4989\nf 5235 3855 2269\nf 826 901 939\nf 5235 2269 5537\nf 2164 3940 5243\nf 2174 2168 3940\nf 916 5677 5604\nf 1531 3711 3774\nf 6009 5414 726\nf 3790 3771 2084\nf 1032 1155 3619\nf 5269 5743 5331\nf 5955 2084 1098\nf 5955 1098 5687\nf 5269 2084 5743\nf 1156 3362 2129\nf 3362 1156 5876\nf 1098 3771 5407\nf 5684 3780 3757\nf 5369 5036 1061\nf 5980 5882 6119\nf 1094 5783 3506\nf 5783 5494 3598\nf 6161 3831 5264\nf 1061 3759 1028\nf 800 3974 6018\nf 3974 5703 6018\nf 3506 3598 5264\nf 3764 5228 1028\nf 5703 6011 3897\nf 868 786 5807\nf 3759 5036 953\nf 1028 3759 5818\nf 5722 5831 3596\nf 2220 2150 3972\nf 5364 5592 3870\nf 759 5834 2245\nf 3756 5522 3830\nf 5623 6060 2252\nf 1514 5535 3593\nf 1063 3678 5452\nf 760 1090 3678\nf 2220 3782 6108\nf 1139 5379 1025\nf 5291 1003 3753\nf 760 3678 1063\nf 5291 6134 1003\nf 3937 6134 5939\nf 5463 1025 6065\nf 753 2068 3915\nf 6016 6003 3680\nf 6016 6002 6003\nf 5297 3946 3835\nf 2172 5625 3391\nf 3679 5636 5314\nf 3556 1139 921\nf 1139 3751 5379\nf 3719 978 3678\nf 5804 3945 980\nf 2216 1003 2181\nf 5711 5636 948\nf 1003 2216 1085\nf 1051 2275 3946\nf 5510 950 1144\nf 850 3941 948\nf 3938 2050 2296\nf 5293 840 2141\nf 3939 805 3941\nf 1532 2681 3569\nf 6070 5509 5474\nf 5322 5871 5603\nf 3915 925 3992\nf 2050 804 5158\nf 2183 2311 660\nf 3805 949 5529\nf 3992 837 4006\nf 746 839 2196\nf 3992 925 837\nf 2224 3915 3805\nf 3797 955 920\nf 2180 3805 1048\nf 5851 1026 5249\nf 955 5293 5897\nf 5293 2141 3265\nf 600 723 5190\nf 4193 4047 4050\nf 6025 2265 3637\nf 1208 3688 2265\nf 5468 2180 1048\nf 2073 3949 3651\nf 3846 5984 1049\nf 1131 1093 1176\nf 888 5823 3368\nf 1231 6056 5753\nf 959 2073 5358\nf 2265 6025 1208\nf 2087 2082 5915\nf 3801 3882 5150\nf 4005 1026 5915\nf 898 5840 3820\nf 3918 5519 993\nf 5851 843 3563\nf 976 1049 5606\nf 4005 5915 2082\nf 2325 1000 5150\nf 2254 2213 4090\nf 5851 3563 2098\nf 1049 5428 5606\nf 4047 2114 859\nf 2114 2115 859\nf 5750 848 5915\nf 5501 5906 1047\nf 3991 3911 871\nf 5758 5615 3620\nf 3721 5201 5141\nf 889 2274 869\nf 3687 2073 3651\nf 5933 5823 888\nf 3846 1042 3646\nf 887 5204 4125\nf 3731 5732 5894\nf 1008 5448 747\nf 1218 5745 5277\nf 988 5527 3745\nf 5527 1008 3745\nf 5544 3875 896\nf 5672 3812 3745\nf 3691 3765 5489\nf 5431 6139 2146\nf 5727 6139 1047\nf 5489 5643 3691\nf 6143 3815 3731\nf 3567 3305 6109\nf 5672 1027 1023\nf 5940 6077 6052\nf 5801 2177 3038\nf 3791 5616 3645\nf 3900 5489 5456\nf 3166 3770 3951\nf 3816 3777 969\nf 4155 5311 5097\nf 3840 3975 5311\nf 5234 3665 3749\nf 1407 3952 4117\nf 3975 3269 5097\nf 5682 3860 1034\nf 5339 998 6052\nf 858 5442 5345\nf 5339 6010 998\nf 3166 861 3841\nf 861 730 3841\nf 911 5442 858\nf 2126 6031 3522\nf 5107 2297 6141\nf 3770 3840 5311\nf 5265 5234 3749\nf 3676 997 1279\nf 3928 5821 2945\nf 3858 3804 4288\nf 974 683 6024\nf 5626 857 3728\nf 5198 732 3909\nf 3944 4002 1044\nf 6006 6169 3583\nf 5666 784 4002\nf 3859 3986 6015\nf 6034 3779 995\nf 6026 1014 729\nf 3604 3778 934\nf 4896 3861 4894\nf 3778 3604 5551\nf 5551 5752 5260\nf 5779 1062 847\nf 927 1250 6111\nf 3919 1012 3466\nf 2173 2278 904\nf 5650 5766 3999\nf 5863 162 4088\nf 5977 3986 3864\nf 1045 5308 5941\nf 4149 794 4826\nf 4002 3944 5666\nf 3935 735 783\nf 784 5666 5650\nf 5941 3834 1045\nf 5712 5446 934\nf 3833 783 5749\nf 5918 822 4029\nf 3486 5996 5412\nf 5458 1300 3490\nf 5918 4029 687\nf 919 3919 5982\nf 5847 6021 3837\nf 919 973 3919\nf 940 3715 1055\nf 6022 913 4989\nf 3617 3786 3732\nf 3631 5565 3699\nf 2110 3494 3527\nf 4073 2106 1056\nf 5662 3893 1043\nf 6021 3706 3837\nf 5622 3893 954\nf 5983 2233 2092\nf 5438 5605 5516\nf 3847 992 5279\nf 992 3921 5279\nf 3810 6104 3732\nf 661 4036 3954\nf 581 3981 3785\nf 992 3732 1673\nf 992 3810 3732\nf 4046 4186 1040\nf 5633 5937 3711\nf 4130 2374 2375\nf 936 1159 3817\nf 936 5326 1159\nf 1251 3537 2147\nf 6172 1296 5418\nf 3854 3738 5341\nf 2242 5446 856\nf 863 2959 2271\nf 3940 2168 4077\nf 2140 849 961\nf 3739 2288 914\nf 844 2021 4057\nf 2218 4033 3814\nf 2164 2140 2174\nf 3855 5491 5556\nf 5743 5230 5331\nf 2263 590 2379\nf 3398 6117 2157\nf 1296 3559 3633\nf 5418 6126 1099\nf 5331 1296 3633\nf 5638 5359 3895\nf 2335 787 5578\nf 5039 6161 5368\nf 5896 3633 5852\nf 5896 5385 3672\nf 1156 2096 6103\nf 5359 824 3895\nf 3814 5414 3971\nf 3814 5604 5414\nf 5360 4084 3895\nf 1028 5228 5373\nf 1274 5613 3320\nf 3760 918 5884\nf 786 4048 5703\nf 3372 1072 3416\nf 6108 5032 3877\nf 5373 1061 1028\nf 6017 5457 5228\nf 6011 5703 4048\nf 4083 3929 787\nf 3897 6018 5703\nf 3942 6067 5029\nf 908 6067 4018\nf 3818 6037 6121\nf 3942 1511 1149\nf 1075 5390 1134\nf 5535 1514 1332\nf 5595 3332 5285\nf 3705 3704 5582\nf 5593 3903 3782\nf 5593 2128 3903\nf 724 5103 873\nf 907 6067 908\nf 1033 3788 5695\nf 3955 1033 2245\nf 5463 1139 1025\nf 981 759 929\nf 2180 2224 3805\nf 1046 6002 5625\nf 3802 948 5816\nf 5636 3679 922\nf 4007 2050 5158\nf 4071 746 2196\nf 2296 2050 4007\nf 3421 1118 5683\nf 3938 2296 6047\nf 3719 2120 3718\nf 4120 813 2311\nf 813 3938 660\nf 5711 3802 2172\nf 4007 746 2296\nf 3939 5464 805\nf 2314 2144 4120\nf 3265 2080 1297\nf 2314 2136 3869\nf 5902 5570 5329\nf 3988 792 5792\nf 3723 3800 5329\nf 2855 1214 719\nf 3571 2098 3797\nf 949 4006 999\nf 3563 3797 2098\nf 4101 592 723\nf 5468 957 2180\nf 4255 3801 3918\nf 1026 898 3722\nf 2115 945 4256\nf 6069 1002 3820\nf 5343 2089 2256\nf 3725 3956 5294\nf 3688 1208 3620\nf 5757 5698 3875\nf 5135 5201 3721\nf 5913 3646 994\nf 3795 3846 3646\nf 5757 869 4125\nf 3949 889 3651\nf 994 3646 2124\nf 3911 5135 3721\nf 3991 871 2101\nf 5894 5544 3731\nf 889 869 3875\nf 3991 2101 959\nf 869 2274 887\nf 5101 2212 4251\nf 6 5126 2056\nf 2255 2094 3886\nf 3687 5894 5732\nf 1076 3815 6143\nf 915 3038 2177\nf 4008 5781 2177\nf 3649 1170 5590\nf 5627 5590 5239\nf 4008 2306 5781\nf 5790 5698 2941\nf 5489 5274 5224\nf 3567 2085 3305\nf 894 5968 937\nf 2306 6077 5940\nf 5781 1008 2177\nf 1008 747 2177\nf 894 5456 5968\nf 5179 860 5790\nf 915 860 5179\nf 988 3812 3686\nf 911 6130 3541\nf 3038 5658 5801\nf 5658 894 937\nf 5658 6099 4009\nf 911 5234 6130\nf 3900 4009 790\nf 5177 5219 3852\nf 3876 3665 3777\nf 5177 6136 5219\nf 5177 3166 3898\nf 5456 894 3900\nf 5968 6077 937\nf 3975 1407 3269\nf 1279 5318 3522\nf 5188 3909 2237\nf 3770 2253 3951\nf 3888 944 3807\nf 3840 751 1472\nf 6130 5234 5265\nf 1034 974 5682\nf 5898 1034 3860\nf 5898 3948 1034\nf 872 535 162\nf 3807 1348 2135\nf 1348 3804 3858\nf 5898 6141 3948\nf 4664 5749 5035\nf 3747 3730 5747\nf 3864 1014 6026\nf 965 6015 867\nf 668 2305 3861\nf 3727 5551 5260\nf 3778 5551 3727\nf 5253 2282 5747\nf 5446 740 856\nf 5747 2282 2103\nf 3746 2242 3997\nf 1012 5855 3466\nf 2949 2238 6038\nf 3890 5719 5949\nf 900 5540 2309\nf 5855 5810 928\nf 2949 5408 2238\nf 5650 5666 5766\nf 5310 3676 3155\nf 670 86 2086\nf 2086 2097 5650\nf 5832 1279 1280\nf 3585 5666 3944\nf 3833 3834 783\nf 5430 5367 965\nf 5430 6082 5367\nf 585 5712 3747\nf 5446 3746 934\nf 668 263 2305\nf 783 932 5749\nf 5035 5749 932\nf 6059 3245 6135\nf 5847 5662 1043\nf 737 5540 2169\nf 1983 4166 5127\nf 5540 4004 2169\nf 4003 2173 2362\nf 3891 3682 3837\nf 6021 5381 3706\nf 3796 954 2137\nf 2431 2362 4014\nf 5569 973 3862\nf 3418 2138 933\nf 3179 6167 3496\nf 3715 1006 4279\nf 3521 1224 5827\nf 6022 4989 6101\nf 954 3796 4279\nf 5924 6022 5465\nf 1036 5321 3865\nf 1035 5865 5273\nf 1035 1180 5865\nf 4208 2060 2930\nf 4104 2233 902\nf 6104 2061 1056\nf 5511 2061 6104\nf 3706 3976 902\nf 3750 3762 6167\nf 972 3733 581\nf 3845 1036 5304\nf 4823 4146 1655\nf 2930 3185 765\nf 3808 1114 581\nf 3014 5216 3981\nf 3813 5197 2182\nf 5146 2091 816\nf 5111 4137 791\nf 4270 4092 1982\nf 2091 2127 3866\nf 6055 5357 914\nf 5146 3735 2091\nf 6055 1040 3813\nf 782 3826 3746\nf 4106 681 2273\nf 2242 4894 2310\nf 4014 5127 609\nf 2374 4130 4270\nf 4132 3912 3908\nf 2148 3924 5556\nf 961 2174 2140\nf 2163 844 1010\nf 3739 5608 2288\nf 2164 5556 2140\nf 1057 3873 6044\nf 5243 3940 6033\nf 2218 3814 882\nf 895 5537 2269\nf 3853 1073 3874\nf 2263 5167 590\nf 3519 3712 3873\nf 6044 5824 1116\nf 844 4059 2021\nf 844 697 4059\nf 2117 3872 882\nf 3559 1057 6044\nf 770 2117 939\nf 3853 771 4028\nf 2084 5269 3790\nf 5420 1116 5824\nf 5852 6044 1116\nf 5269 5331 3633\nf 2287 662 5638\nf 726 3790 5896\nf 5677 3771 3790\nf 662 2287 4060\nf 2335 2165 4016\nf 3814 3971 882\nf 938 5360 916\nf 2218 4054 3871\nf 3895 2287 5638\nf 3895 4084 2287\nf 6161 820 3831\nf 5228 3632 5373\nf 4201 6161 5039\nf 868 5807 5684\nf 5333 5503 1417\nf 2102 6147 1084\nf 5829 3409 1169\nf 786 4049 4048\nf 3895 824 5360\nf 5522 908 4018\nf 4015 5478 6116\nf 2128 5593 3972\nf 4030 2266 3917\nf 4030 4154 2266\nf 724 5203 803\nf 5831 5287 3596\nf 3788 5263 5462\nf 724 803 5103\nf 3596 5287 3415\nf 5098 1765 586\nf 3756 3830 875\nf 542 610 5096\nf 5834 905 1090\nf 3756 5364 908\nf 5780 5363 3916\nf 2264 3751 5700\nf 5780 3612 3562\nf 4941 5158 804\nf 3832 5939 2120\nf 2240 5452 978\nf 2183 5554 1046\nf 3782 2220 5593\nf 2220 3972 5593\nf 3972 3897 2128\nf 2240 3705 6065\nf 813 2144 5110\nf 5869 5238 4038\nf 5869 3643 3569\nf 3643 1085 2216\nf 5804 6071 3945\nf 3803 6067 907\nf 5603 3680 5468\nf 3938 813 5110\nf 805 5464 2314\nf 5464 2136 2314\nf 5542 1017 6106\nf 5110 2050 3938\nf 5792 957 4000\nf 5464 5939 980\nf 2311 5816 4120\nf 6134 5291 3718\nf 3535 5238 3569\nf 5487 5033 658\nf 3939 2181 3937\nf 2181 6134 3937\nf 5487 1022 5033\nf 792 3988 3920\nf 1680 1214 2577\nf 6047 5554 660\nf 4089 4941 804\nf 4063 744 2289\nf 6016 3680 5871\nf 4023 741 839\nf 5761 5474 5509\nf 2183 5816 2311\nf 6003 956 3680\nf 746 4023 839\nf 5816 805 4120\nf 5570 5673 5943\nf 5603 5871 3680\nf 2249 1999 613\nf 5902 5329 3800\nf 753 3915 2224\nf 2249 5142 1999\nf 6047 2296 4071\nf 3720 3571 3800\nf 2296 746 4071\nf 956 6003 5994\nf 2098 3571 1080\nf 956 5994 4000\nf 5914 5480 5978\nf 3800 3723 3720\nf 945 2115 2114\nf 923 945 2114\nf 5840 952 3820\nf 952 4255 3820\nf 5529 5943 1048\nf 2082 3913 4005\nf 5603 5468 1048\nf 848 2087 5915\nf 945 2089 5343\nf 5715 3636 3560\nf 6025 3637 2080\nf 2254 2325 4050\nf 977 5913 5358\nf 4031 3801 5150\nf 5204 887 3886\nf 887 2255 3886\nf 5135 5519 4031\nf 2094 4180 6\nf 5101 2184 776\nf 2941 2186 5115\nf 706 5126 3964\nf 706 2056 5126\nf 634 854 5126\nf 5179 5196 4957\nf 5801 4008 2177\nf 5196 5179 5115\nf 5781 5672 3745\nf 3792 5448 6143\nf 5448 5527 6143\nf 5801 5658 937\nf 5628 5533 1023\nf 860 917 5790\nf 1637 5619 5533\nf 5979 1113 5533\nf 3815 5823 5732\nf 5727 2146 6139\nf 5979 3806 1113\nf 3900 894 4009\nf 1953 605 4085\nf 6099 5658 4945\nf 6077 2306 4008\nf 4009 894 5658\nf 6099 3851 4009\nf 3740 6136 3898\nf 3816 3740 3898\nf 5224 5274 969\nf 6130 5265 2945\nf 3975 5097 5311\nf 3777 3816 3876\nf 3816 3951 3876\nf 3952 2276 4117\nf 5188 3888 3807\nf 2235 3943 795\nf 3860 5393 5821\nf 1280 5393 5832\nf 3841 730 739\nf 5821 997 5370\nf 3958 4227 263\nf 5430 965 3648\nf 4896 856 2277\nf 585 2103 740\nf 867 3648 965\nf 2309 3738 5531\nf 4032 2387 668\nf 5879 2949 5495\nf 4004 5540 4213\nf 6027 900 2309\nf 798 3343 2235\nf 5863 4869 162\nf 3909 2135 5198\nf 86 2214 932\nf 2297 3888 4127\nf 784 5941 4002\nf 2244 4776 794\nf 86 932 735\nf 3944 3693 5609\nf 86 2097 2086\nf 5609 5393 5682\nf 3833 3986 5977\nf 3935 783 3834\nf 86 4140 2214\nf 4664 4141 2282\nf 5446 2242 3746\nf 1869 1937 4166\nf 2363 891 4074\nf 5166 904 6023\nf 3976 3899 2246\nf 3976 5381 3899\nf 2246 3899 4099\nf 3899 5381 671\nf 4099 4074 665\nf 3466 3854 5719\nf 4099 4075 4074\nf 3285 2139 1303\nf 3921 661 3733\nf 3682 3891 3809\nf 3657 5432 2110\nf 2362 2431 4003\nf 5768 3657 3737\nf 2127 3729 3808\nf 1180 1101 6160\nf 5511 3662 3661\nf 3994 3867 3662\nf 3994 3847 3867\nf 3994 3810 3847\nf 4146 161 2930\nf 6036 6164 1114\nf 3981 581 3733\nf 2178 3712 3711\nf 1040 4186 3813\nf 3739 5937 5608\nf 849 2140 3924\nf 2380 5193 4072\nf 5111 4136 4137\nf 4894 4895 2310\nf 3738 2309 737\nf 3919 3890 5982\nf 3854 3466 5855\nf 3755 3854 5855\nf 3774 3739 914\nf 849 3907 3906\nf 4130 4264 4270\nf 849 3906 961\nf 4145 4078 3906\nf 1009 4077 2271\nf 1009 864 3828\nf 6044 3873 5824\nf 5556 3924 2140\nf 2148 5678 3924\nf 916 3771 5677\nf 5235 5491 3855\nf 3912 4132 863\nf 826 6033 1009\nf 2260 4281 4247\nf 2260 2262 4281\nf 5756 3773 3853\nf 727 845 2021\nf 939 2117 5756\nf 3672 3874 1073\nf 4033 4084 938\nf 4033 2392 4084\nf 2392 2287 4084\nf 895 771 3853\nf 697 2163 901\nf 3871 2392 4033\nf 3871 4033 2218\nf 3874 5976 895\nf 4144 2344 4215\nf 2344 807 4215\nf 5896 5269 3633\nf 2344 5624 807\nf 4201 820 6161\nf 3831 828 3929\nf 1073 3853 3773\nf 3672 5385 3874\nf 882 3971 2117\nf 3769 5783 6039\nf 6017 5228 3764\nf 2179 5578 5638\nf 3782 5778 6108\nf 5407 3771 916\nf 5036 3829 953\nf 3829 2069 953\nf 4015 5036 5369\nf 6018 2150 800\nf 3757 4083 5684\nf 4016 2165 5102\nf 4010 5215 842\nf 963 953 2069\nf 3829 3757 2069\nf 3829 6116 3757\nf 6011 4048 2333\nf 963 2069 800\nf 3596 5635 1514\nf 5695 3530 5029\nf 2150 963 800\nf 875 879 5592\nf 1033 3955 3959\nf 842 4079 2283\nf 842 5215 614\nf 3756 5592 5364\nf 3607 3718 5291\nf 5470 2216 2181\nf 950 5636 922\nf 5816 948 3941\nf 2136 3945 3869\nf 5522 3756 908\nf 948 3802 5711\nf 905 2120 3719\nf 905 3832 2120\nf 660 3938 6047\nf 3265 1297 1016\nf 3802 5816 2183\nf 5939 3832 980\nf 905 981 3832\nf 2289 744 728\nf 4941 742 5158\nf 905 5834 981\nf 4222 4079 4953\nf 5105 3920 3988\nf 5554 6003 6002\nf 3571 3797 920\nf 4023 2249 741\nf 4023 746 4063\nf 3970 4875 4876\nf 3797 840 955\nf 3920 5105 2125\nf 2098 5750 5851\nf 2142 3878 837\nf 5978 5480 3878\nf 3892 951 941\nf 2031 555 653\nf 3892 2112 951\nf 832 2223 870\nf 5914 5978 3990\nf 5554 6047 5994\nf 949 3805 4006\nf 5343 5160 2211\nf 5750 1026 5851\nf 5750 5915 1026\nf 612 5469 4019\nf 3913 5840 4005\nf 4064 853 2325\nf 1002 5615 3722\nf 4050 5150 3882\nf 4050 2325 5150\nf 877 4266 4223\nf 3820 4255 6069\nf 2211 4256 5343\nf 5606 3620 986\nf 2124 3646 1042\nf 869 887 4125\nf 887 2274 2255\nf 994 5358 5913\nf 4090 745 4062\nf 5840 898 4005\nf 4223 2295 2294\nf 3918 993 976\nf 3721 2094 871\nf 890 5135 3911\nf 4031 5201 5135\nf 3560 5428 5984\nf 3949 2274 889\nf 3721 871 3911\nf 2124 3911 3991\nf 896 3875 5698\nf 2184 2322 776\nf 2359 3995 4180\nf 3995 673 634\nf 634 673 1455\nf 2274 2101 2255\nf 889 5544 3651\nf 4272 1355 1455\nf 5196 4276 4948\nf 2186 3996 4934\nf 747 5448 917\nf 3894 5196 5115\nf 825 2056 706\nf 5968 5456 3765\nf 3038 4945 5658\nf 5115 2186 3894\nf 3812 5672 1023\nf 4067 3963 730\nf 3842 730 861\nf 5180 5147 5219\nf 4195 601 4067\nf 3900 5274 5489\nf 885 1404 3889\nf 2323 683 974\nf 3950 5107 3749\nf 4067 4987 3963\nf 5175 5174 601\nf 4067 730 3842\nf 3962 736 1404\nf 5219 6136 3851\nf 736 3962 4085\nf 5198 3932 4139\nf 3948 2323 1034\nf 3770 5311 2253\nf 4155 3950 2253\nf 911 3541 3583\nf 2276 4207 3887\nf 3952 675 2281\nf 3884 1634 3345\nf 6024 683 4088\nf 4895 4894 756\nf 2103 2277 740\nf 4227 3958 4022\nf 3746 3604 934\nf 2277 2103 5846\nf 3746 3997 782\nf 3997 6027 782\nf 4004 4213 4212\nf 2238 3727 5260\nf 1012 973 5569\nf 1045 5977 5626\nf 4869 798 872\nf 798 2235 872\nf 162 4869 872\nf 535 2003 3933\nf 535 3933 4133\nf 732 2237 3909\nf 5208 670 64\nf 670 5145 64\nf 670 2086 5145\nf 2214 5035 932\nf 5766 5182 3999\nf 6141 5898 3928\nf 1045 5626 3728\nf 3868 926 5766\nf 5749 5253 3833\nf 5145 4826 64\nf 64 794 5208\nf 3834 5941 3935\nf 4664 2282 5253\nf 4826 2002 4149\nf 3965 1607 799\nf 4896 4894 856\nf 3826 3825 5752\nf 5693 934 3778\nf 6027 5531 782\nf 671 5982 3890\nf 4003 892 2363\nf 5983 3891 2568\nf 4099 3899 2278\nf 4146 4823 161\nf 3681 2202 3796\nf 1655 725 3101\nf 3755 3738 3854\nf 2169 4001 737\nf 3733 661 3954\nf 4136 701 4137\nf 3285 1024 2139\nf 4824 796 4208\nf 2060 764 3185\nf 3742 3993 1114\nf 3993 972 1114\nf 3919 5719 3890\nf 964 3634 5755\nf 2233 815 4037\nf 1673 661 3921\nf 5449 3865 3595\nf 3706 2568 3891\nf 5166 2362 2173\nf 5216 3785 3981\nf 2292 2541 796\nf 5765 3783 3631\nf 3993 5279 972\nf 3101 4823 1655\nf 816 5111 2291\nf 3735 2127 2091\nf 4264 2063 766\nf 5608 3735 2288\nf 2269 771 895\nf 3924 5678 2182\nf 1531 2178 3711\nf 5341 3738 737\nf 4001 5341 737\nf 3825 928 5752\nf 2273 5166 899\nf 731 665 676\nf 902 3976 2246\nf 2363 4075 4003\nf 2363 4074 4075\nf 2278 4075 4099\nf 5166 2273 2362\nf 5172 2404 4215\nf 5172 5136 2404\nf 4054 2218 3872\nf 2182 849 3924\nf 3774 5937 3739\nf 3906 4078 961\nf 4145 5108 785\nf 1338 2029 2374\nf 3873 2178 5824\nf 844 4057 1010\nf 2148 6055 5678\nf 2148 5357 6055\nf 5756 2117 3773\nf 2406 1773 5167\nf 895 3853 3874\nf 5243 2269 3855\nf 4028 771 6033\nf 2117 3971 3773\nf 2163 697 844\nf 3790 726 5677\nf 4060 4055 862\nf 4084 5360 938\nf 5360 5407 916\nf 3814 4033 938\nf 726 5414 5677\nf 1010 770 2163\nf 2179 662 667\nf 3598 5494 5350\nf 3769 5919 3618\nf 5369 3506 4015\nf 2179 5638 662\nf 5203 797 803\nf 3782 3830 5522\nf 2335 5578 2179\nf 2287 2392 4060\nf 2102 1156 2129\nf 3830 3782 3903\nf 3936 2352 5195\nf 3974 5807 786\nf 5684 4083 4016\nf 3936 4052 2352\nf 3936 2058 4052\nf 4154 4010 2266\nf 6011 873 3897\nf 2333 5203 724\nf 2057 4011 2058\nf 3917 879 875\nf 4953 4941 4222\nf 1071 1075 1134\nf 5804 3832 981\nf 875 3830 3917\nf 3917 3903 4030\nf 5158 744 4007\nf 1033 3959 3788\nf 5464 3939 3937\nf 5158 742 744\nf 5869 3863 1085\nf 2289 664 5142\nf 3945 4100 3869\nf 3945 6071 4100\nf 3704 3705 2240\nf 2136 5464 980\nf 4199 4089 804\nf 594 2283 4079\nf 5869 4038 3863\nf 804 2050 5110\nf 839 5105 3988\nf 4941 4953 742\nf 4941 4089 4222\nf 742 4953 2219\nf 3668 6016 5871\nf 4000 2196 5792\nf 3668 5625 6016\nf 5994 4071 4000\nf 4071 2196 4000\nf 5322 3641 5871\nf 3988 2196 839\nf 3641 3668 5871\nf 5105 839 741\nf 2068 753 893\nf 22 2249 613\nf 2035 4053 893\nf 2035 2112 4053\nf 883 707 5138\nf 2224 2180 792\nf 2142 2223 3878\nf 793 3970 3811\nf 925 924 2142\nf 925 2068 924\nf 925 2142 837\nf 3920 2224 792\nf 2114 4047 3989\nf 2223 777 870\nf 2228 924 3892\nf 3892 941 2228\nf 4050 3882 4193\nf 5750 2098 6072\nf 74 3966 475\nf 3720 3723 5803\nf 848 5294 2087\nf 6072 2098 1080\nf 4256 3823 5200\nf 3823 2211 983\nf 2056 5204 3886\nf 889 3875 5544\nf 3875 869 5757\nf 604 4147 3197\nf 4125 825 2322\nf 909 4962 692\nf 2294 745 2213\nf 2213 859 2294\nf 859 5200 2294\nf 874 673 3995\nf 1000 2325 853\nf 890 3911 2124\nf 1000 853 5164\nf 5519 1042 993\nf 5519 3801 4031\nf 1455 5109 854\nf 1042 890 2124\nf 4119 2076 802\nf 3964 855 2076\nf 2210 2212 5101\nf 814 692 874\nf 5126 854 3964\nf 4147 4275 4080\nf 4275 4334 4080\nf 814 5164 853\nf 2210 706 3964\nf 5790 917 896\nf 5790 5115 5179\nf 776 706 2210\nf 5544 5894 3651\nf 5544 3792 3731\nf 3894 4276 5196\nf 4934 62 3894\nf 62 13 2155\nf 5640 2186 2941\nf 2322 825 776\nf 62 4276 3894\nf 917 5448 3792\nf 4957 4945 3038\nf 2332 2064 2185\nf 2186 2184 3996\nf 738 5180 881\nf 4946 2185 738\nf 4946 704 2185\nf 738 4194 5113\nf 4194 2064 5175\nf 2064 551 5175\nf 4946 4276 704\nf 5224 969 5345\nf 4127 5188 2237\nf 1953 643 605\nf 750 4163 4341\nf 2253 3950 3876\nf 3765 6052 5968\nf 736 5187 1404\nf 5187 3889 1404\nf 5187 5159 682\nf 4127 3888 5188\nf 2281 4207 2276\nf 3665 5234 858\nf 3807 2135 5188\nf 4127 2237 2323\nf 3898 6136 5177\nf 3943 2162 2407\nf 6024 3868 3857\nf 6024 926 3868\nf 732 4869 5863\nf 5430 5034 2109\nf 3826 782 3825\nf 3730 6015 3986\nf 3826 5551 3604\nf 3861 4032 668\nf 5786 5408 2083\nf 4895 3934 900\nf 4895 756 3934\nf 162 535 4133\nf 3969 829 618\nf 3883 4045 4158\nf 3883 705 4045\nf 2013 650 774\nf 2402 2188 3422\nf 2047 4463 4164\nf 717 2349 1228\nf 4139 3932 2883\nf 2349 570 2161\nf 4288 4198 2316\nf 926 4133 5182\nf 5766 5666 3868\nf 829 3674 2051\nf 5035 4141 4664\nf 5035 2215 4141\nf 2387 1607 668\nf 86 670 4140\nf 3747 5712 867\nf 4141 5846 2282\nf 4032 4896 2277\nf 5446 5712 585\nf 665 2246 4099\nf 940 1055 2106\nf 3865 5321 1233\nf 1655 4146 3014\nf 5935 1505 5587\nf 5983 3786 3809\nf 3786 3617 3809\nf 3681 3796 3682\nf 3185 4136 763\nf 3789 3702 1641\nf 4136 764 701\nf 3105 701 5170\nf 4137 4206 791\nf 3101 3954 4037\nf 5213 4104 902\nf 5213 665 731\nf 4036 2092 4037\nf 5216 5193 2380\nf 4046 2288 5146\nf 3810 5511 6104\nf 2092 4036 3786\nf 5157 1092 3089\nf 4206 4092 4270\nf 4206 4137 3105\nf 3185 2930 2060\nf 5185 5218 5149\nf 5218 4213 3934\nf 4032 3861 4896\nf 5624 3872 770\nf 808 602 4057\nf 3982 2262 2028\nf 1010 807 5624\nf 3908 961 4078\nf 2168 3908 3912\nf 1773 2816 4167\nf 5170 1092 3105\nf 4072 5111 816\nf 4172 2052 4368\nf 2168 2174 3908\nf 5148 693 903\nf 864 633 4066\nf 2182 3907 849\nf 4415 910 1967\nf 2406 5108 1773\nf 2406 2263 4132\nf 4057 602 807\nf 2021 4059 727\nf 939 901 2163\nf 4059 4066 727\nf 4028 826 5756\nf 2368 4258 4247\nf 4057 2021 808\nf 4057 807 1010\nf 5624 4054 3872\nf 4060 667 662\nf 4281 4259 4178\nf 2404 2221 4215\nf 4055 4144 5217\nf 4144 2221 5217\nf 663 669 2299\nf 2221 2404 2194\nf 2299 669 5104\nf 5359 5578 828\nf 824 5359 820\nf 5360 824 5407\nf 4016 787 2335\nf 6009 1073 3773\nf 5624 2344 4054\nf 2165 2335 755\nf 2179 755 2335\nf 5578 787 828\nf 5677 5414 5604\nf 5478 3929 6116\nf 3831 820 828\nf 3782 5522 5778\nf 873 4030 2128\nf 873 6011 724\nf 5194 2341 5212\nf 3974 786 5703\nf 724 6011 2333\nf 4048 4123 2333\nf 2057 522 599\nf 3870 6071 929\nf 3972 6018 3897\nf 879 5143 810\nf 4953 614 610\nf 614 5096 610\nf 3972 2150 6018\nf 614 5215 5096\nf 879 3917 2266\nf 4079 614 4953\nf 811 6071 3870\nf 594 4079 4222\nf 1048 3805 5529\nf 5143 2266 4010\nf 742 728 744\nf 2289 5142 4063\nf 811 3870 810\nf 811 4100 6071\nf 4100 811 5173\nf 5582 3863 3037\nf 2196 3988 5792\nf 4071 5994 6047\nf 811 810 2283\nf 4063 746 4007\nf 4063 4007 744\nf 943 5105 741\nf 2144 3869 4199\nf 5554 6002 1046\nf 613 1998 22\nf 3668 6070 5625\nf 946 2125 943\nf 5570 5902 5673\nf 943 2249 22\nf 5902 3800 920\nf 946 22 713\nf 3915 2068 925\nf 4114 768 4906\nf 3970 2248 4093\nf 2035 893 3838\nf 2125 946 3838\nf 777 2228 941\nf 837 5480 4006\nf 837 3878 5480\nf 4053 3892 924\nf 4053 924 2068\nf 806 4114 4906\nf 3920 2125 753\nf 749 648 4081\nf 475 777 941\nf 654 5190 723\nf 2031 2378 555\nf 2031 4148 838\nf 612 2261 5469\nf 3979 4062 745\nf 603 2360 4062\nf 3989 3913 923\nf 3823 4256 2211\nf 1002 3722 898\nf 4329 4907 2019\nf 3913 2082 923\nf 4064 2254 4090\nf 877 4907 587\nf 4377 4233 1594\nf 4272 673 3106\nf 4050 4047 2254\nf 2211 5160 696\nf 983 4907 877\nf 5201 4031 1000\nf 5126 6 634\nf 4446 4314 710\nf 5204 825 4125\nf 853 909 814\nf 604 3197 3106\nf 4272 1455 673\nf 2101 2274 3949\nf 603 4954 2279\nf 5204 2056 825\nf 603 5038 1468\nf 4087 841 812\nf 1355 4272 3197\nf 802 556 2308\nf 5181 2229 2171\nf 4119 2212 2076\nf 855 556 802\nf 855 802 2076\nf 854 855 3964\nf 2212 2210 2076\nf 2441 2200 2497\nf 3258 757 611\nf 5698 5790 896\nf 2941 5698 5640\nf 2184 5640 2322\nf 5640 5757 2322\nf 5640 5698 5757\nf 3792 6143 3731\nf 4276 4946 4948\nf 2185 704 2332\nf 2200 5168 2206\nf 5168 2064 2332\nf 3851 790 4009\nf 6099 4945 881\nf 738 5113 5180\nf 5113 5147 5180\nf 881 4945 4948\nf 3962 546 4085\nf 2276 3887 886\nf 5489 3765 5456\nf 4195 4067 3842\nf 5147 5113 4195\nf 3852 861 5177\nf 5219 5147 3852\nf 5147 3842 3852\nf 3842 861 3852\nf 4085 605 736\nf 3749 6141 5265\nf 4088 4133 926\nf 732 5863 2237\nf 6024 4088 926\nf 4020 4327 751\nf 4020 682 675\nf 3166 5177 861\nf 2945 5821 5370\nf 5107 3950 4155\nf 3884 2232 1634\nf 1634 3883 4158\nf 2971 3969 618\nf 3958 263 1987\nf 2305 756 3861\nf 2241 5218 3934\nf 3958 1987 4131\nf 756 4894 3861\nf 3934 756 2241\nf 5185 4012 4212\nf 3825 782 5531\nf 6027 2309 5531\nf 3755 3825 5531\nf 3997 2310 6027\nf 3969 5031 829\nf 4460 2726 4303\nf 4002 5941 5308\nf 4826 5145 3821\nf 4159 4383 513\nf 2316 947 2187\nf 3933 3999 5182\nf 2945 5265 3928\nf 717 831 2847\nf 4133 3933 5182\nf 3343 2883 2187\nf 4383 566 4103\nf 5137 4129 619\nf 5253 5749 4664\nf 829 2244 4149\nf 2244 829 2051\nf 2002 2407 2971\nf 3868 3585 3857\nf 2971 774 3969\nf 2214 2215 5035\nf 2002 618 4149\nf 2315 4227 4022\nf 830 1474 2208\nf 2215 1479 799\nf 2730 629 532\nf 3747 6015 3730\nf 3965 4131 1607\nf 649 5149 4229\nf 4212 4213 5218\nf 4012 4106 4004\nf 6027 2310 900\nf 4001 2169 899\nf 4001 5949 5341\nf 3997 2242 2310\nf 5185 3967 2055\nf 891 711 5220\nf 2278 3899 671\nf 4074 676 665\nf 891 699 711\nf 3977 4823 815\nf 3977 161 4823\nf 6023 5949 4001\nf 2302 5220 796\nf 2278 666 904\nf 731 2302 4824\nf 731 676 2302\nf 2246 5213 902\nf 3105 1092 4092\nf 2374 2029 2375\nf 2127 3785 3866\nf 3785 5216 3866\nf 763 765 3185\nf 4136 5111 4072\nf 5220 2302 891\nf 2292 4098 2541\nf 764 571 701\nf 4824 161 3977\nf 2543 571 764\nf 2292 5220 819\nf 4104 5213 3977\nf 791 766 2291\nf 4145 785 4078\nf 1129 4092 5157\nf 4076 2063 4130\nf 2380 816 2091\nf 4092 1092 5157\nf 4385 2662 639\nf 671 5381 5982\nf 5949 666 3890\nf 899 2169 4106\nf 2169 4004 4106\nf 5185 5149 835\nf 2021 845 808\nf 2260 4247 4210\nf 3872 2117 770\nf 2043 5167 4167\nf 766 2063 5197\nf 4264 4206 4270\nf 5678 6055 3813\nf 4186 4046 2291\nf 4237 3953 4278\nf 771 2269 5243\nf 801 4109 4145\nf 4109 4278 5108\nf 4278 1773 5108\nf 4130 2063 4264\nf 2959 863 2379\nf 2029 2432 4237\nf 3906 4056 4145\nf 2029 4237 4109\nf 4077 2168 3912\nf 785 5108 2406\nf 1010 5624 770\nf 3855 2164 5243\nf 862 655 663\nf 5136 4258 2065\nf 2105 4039 4258\nf 903 693 2028\nf 4055 3871 4144\nf 807 602 5172\nf 4210 5136 5172\nf 2404 2065 2194\nf 845 2028 2262\nf 5191 655 2194\nf 4055 4060 2392\nf 2404 5136 2065\nf 4281 4178 2368\nf 5104 755 667\nf 667 2299 5104\nf 787 3929 828\nf 828 820 5359\nf 2299 4060 862\nf 5264 3603 6161\nf 2405 495 4181\nf 3780 5684 5807\nf 873 2128 3897\nf 2352 2333 4123\nf 851 4202 5194\nf 803 797 2351\nf 4986 803 2351\nf 2122 530 4042\nf 4263 5096 5215\nf 4123 5195 2352\nf 2150 2220 3877\nf 797 4052 2513\nf 2341 2303 5195\nf 542 4331 4121\nf 3903 2128 4030\nf 4079 842 614\nf 6071 5804 929\nf 2283 594 811\nf 929 759 5364\nf 2831 60 19\nf 811 594 5173\nf 5202 4199 3869\nf 5202 4089 4199\nf 5582 3704 3753\nf 3704 5291 3753\nf 5173 594 4222\nf 5994 6003 5554\nf 4089 5173 4222\nf 542 586 1765\nf 4063 5142 4023\nf 4618 4162 4220\nf 1705 4369 300\nf 2249 943 741\nf 713 1998 5199\nf 946 943 22\nf 2452 4618 5095\nf 707 4093 2248\nf 707 713 5199\nf 2452 715 4316\nf 2248 5138 707\nf 60 4369 1705\nf 60 567 4369\nf 4879 5094 2290\nf 3811 2377 4879\nf 2377 4906 544\nf 2035 3838 883\nf 3838 946 883\nf 3811 4879 793\nf 3838 893 2125\nf 4226 4336 5041\nf 777 475 3966\nf 4019 2313 612\nf 4019 942 2313\nf 1507 749 592\nf 475 2227 838\nf 2228 2142 924\nf 942 4909 2199\nf 777 2223 2228\nf 4842 4108 3968\nf 832 870 4019\nf 838 4520 4082\nf 3966 942 870\nf 3968 1507 4842\nf 654 73 5190\nf 2272 2199 4909\nf 3878 2223 832\nf 3878 832 5978\nf 2087 5294 2209\nf 3990 5978 5469\nf 3990 2100 5803\nf 3725 3720 5803\nf 5190 73 696\nf 723 4081 654\nf 723 592 4081\nf 5190 5160 600\nf 859 2115 5200\nf 4101 723 600\nf 600 3901 4101\nf 4157 5037 587\nf 2360 4064 4090\nf 3989 5840 3913\nf 3989 4193 5840\nf 4256 5200 2115\nf 73 2373 2019\nf 503 4393 539\nf 4021 4344 4160\nf 983 877 3823\nf 4907 983 4111\nf 496 576 563\nf 580 4373 2987\nf 2101 3949 959\nf 4275 539 4334\nf 3197 4080 4277\nf 6 4180 634\nf 603 2279 5038\nf 5519 890 1042\nf 5164 2359 5141\nf 4147 604 1468\nf 5141 4180 2094\nf 5109 556 855\nf 5141 2094 3721\nf 2332 704 2155\nf 812 841 3985\nf 1355 2334 5109\nf 2308 5181 802\nf 854 5109 855\nf 1455 1355 5109\nf 841 720 4269\nf 2308 556 812\nf 5181 4119 802\nf 704 62 2155\nf 2171 2204 789\nf 4948 4945 4957\nf 4251 2212 703\nf 2307 4934 3996\nf 3038 915 4957\nf 299 2954 1583\nf 703 2212 4119\nf 703 4119 4118\nf 757 2497 611\nf 2171 2371 2204\nf 1583 2008 4489\nf 2040 5011 4489\nf 757 2441 2497\nf 5168 4268 551\nf 747 860 915\nf 917 3792 896\nf 2155 2206 2332\nf 2200 2441 4376\nf 3889 5187 682\nf 3963 739 730\nf 865 751 739\nf 3889 4020 865\nf 551 4268 547\nf 4194 738 2185\nf 865 3963 885\nf 885 3889 865\nf 752 4376 647\nf 3841 3840 3770\nf 751 3840 739\nf 4376 646 647\nf 739 3963 865\nf 5174 546 3962\nf 4987 4067 601\nf 4163 483 4341\nf 751 4327 1472\nf 1472 1407 3975\nf 3269 944 5097\nf 3269 3930 944\nf 4288 2316 3932\nf 2316 2187 2883\nf 3343 798 2883\nf 3269 1407 4117\nf 4088 683 5863\nf 761 3884 3343\nf 2297 5107 3923\nf 1634 4158 5009\nf 4051 827 2361\nf 4051 679 827\nf 2407 2162 2971\nf 3883 2231 705\nf 5198 4139 732\nf 3930 3807 944\nf 761 2232 3884\nf 773 2788 2789\nf 774 650 2154\nf 3948 6141 2297\nf 2788 4388 508\nf 3948 2297 4127\nf 2232 2361 3883\nf 2361 2232 4051\nf 3858 5198 2135\nf 649 4227 2315\nf 756 2305 2241\nf 2305 4229 2241\nf 2003 2407 2002\nf 700 2231 2354\nf 5009 3345 1634\nf 3969 2154 5031\nf 5009 3943 3345\nf 370 2918 2667\nf 5208 4140 670\nf 5208 4129 4140\nf 5208 4776 4129\nf 2161 2189 1228\nf 5609 3857 3585\nf 5253 5747 3730\nf 5253 3730 3833\nf 4129 4027 619\nf 4129 4776 4027\nf 831 1228 2208\nf 4131 4097 3958\nf 831 2208 1474\nf 5137 2214 4140\nf 3826 3604 3746\nf 2315 4188 649\nf 830 4200 1474\nf 619 4027 1474\nf 263 4227 4229\nf 4022 4128 2315\nf 629 4305 532\nf 737 2309 5540\nf 900 4213 5540\nf 4166 1983 1869\nf 4213 900 3934\nf 699 891 2363\nf 1540 699 892\nf 5185 835 3967\nf 5381 3976 3706\nf 666 6023 904\nf 5220 711 819\nf 2302 676 891\nf 676 4074 891\nf 4075 2173 4003\nf 765 763 5193\nf 5266 1641 897\nf 3014 725 1655\nf 3014 3981 725\nf 4293 4235 4098\nf 725 3954 3101\nf 571 4161 5170\nf 711 494 819\nf 4146 765 3014\nf 2060 4208 2541\nf 815 4104 3977\nf 961 3908 2174\nf 1982 2374 4270\nf 5491 5235 3669\nf 3813 4186 5197\nf 5357 2148 3600\nf 779 1539 4382\nf 702 779 4098\nf 5193 5216 3014\nf 5357 3774 914\nf 6023 4001 899\nf 5128 1540 4068\nf 681 1983 4014\nf 1067 1539 494\nf 5127 4014 1983\nf 1539 819 494\nf 779 5100 4293\nf 635 4236 5100\nf 3931 3089 1991\nf 480 577 910\nf 2406 5167 2263\nf 3799 4392 4300\nf 3978 4239 590\nf 5167 2043 590\nf 4247 5136 4210\nf 939 2163 770\nf 2260 4210 808\nf 2374 1982 1338\nf 4186 766 5197\nf 4411 2043 4167\nf 4056 3906 3907\nf 3828 4066 4059\nf 633 5148 903\nf 2368 574 2105\nf 633 2379 5148\nf 864 2271 2959\nf 863 4132 2263\nf 602 808 4210\nf 655 2221 2194\nf 655 5217 2221\nf 663 655 5191\nf 2194 2065 2324\nf 2221 4144 4215\nf 2027 851 2165\nf 2065 4209 2324\nf 2299 667 4060\nf 4055 2392 3871\nf 2004 2405 617\nf 2004 669 663\nf 2004 617 669\nf 786 868 4049\nf 5212 4049 5194\nf 842 5143 4010\nf 4202 851 677\nf 2352 5203 2333\nf 842 2283 5143\nf 810 5592 879\nf 2513 4242 557\nf 2267 2268 4042\nf 2321 3144 636\nf 810 3870 5592\nf 4242 2321 4189\nf 557 5183 2351\nf 4331 4729 4196\nf 610 4121 2219\nf 610 542 4121\nf 5212 5195 4123\nf 5103 4154 4030\nf 2046 4154 4986\nf 4986 4263 2046\nf 4010 4154 2046\nf 4326 19 1705\nf 4189 557 4242\nf 5943 5529 5570\nf 19 583 2831\nf 713 22 1998\nf 4875 5095 4618\nf 613 1999 616\nf 713 883 946\nf 4618 2414 4162\nf 4093 5095 4875\nf 2452 2414 4618\nf 4289 115 2414\nf 613 1974 1998\nf 4879 2290 4017\nf 1554 4605 5112\nf 2423 533 768\nf 4114 4353 2423\nf 2112 2035 5138\nf 2378 2031 4082\nf 4518 4548 4838\nf 2248 793 5138\nf 2112 3892 4053\nf 754 1554 5112\nf 951 2290 2227\nf 1554 1325 4605\nf 3966 870 777\nf 2223 2142 2228\nf 2313 3968 612\nf 838 2227 4520\nf 2089 923 2082\nf 2114 3989 923\nf 1507 2030 749\nf 3901 2261 4108\nf 4111 983 696\nf 2261 2100 3990\nf 4230 648 4361\nf 5469 2261 3990\nf 696 73 4111\nf 710 778 541\nf 4446 348 4314\nf 3956 2261 3901\nf 4064 2325 2254\nf 781 4840 5037\nf 4330 539 4275\nf 4260 4329 4205\nf 4377 2370 4343\nf 4277 2334 1355\nf 4277 4273 4087\nf 5162 4233 4418\nf 2334 4277 4087\nf 556 5109 2334\nf 4266 587 5037\nf 2295 4266 4877\nf 4344 2987 4687\nf 4269 550 3985\nf 2279 2205 4985\nf 1468 5038 4147\nf 4333 539 4393\nf 2370 520 4343\nf 4231 4338 5005\nf 1377 345 563\nf 692 604 3106\nf 909 4064 2360\nf 4373 4389 2987\nf 4231 4233 5162\nf 841 4087 1529\nf 841 4269 3985\nf 1471 4375 4306\nf 2371 5042 4243\nf 5042 2371 550\nf 550 2229 3985\nf 3258 4118 789\nf 299 4183 4243\nf 299 4243 5042\nf 2177 747 915\nf 5168 2332 2206\nf 13 2307 979\nf 2497 2200 2206\nf 4195 5113 4194\nf 6099 881 5180\nf 4243 4183 1456\nf 5219 3851 5180\nf 886 3804 1348\nf 675 3952 4327\nf 1472 3975 3840\nf 4288 3932 3858\nf 675 4327 4020\nf 886 1348 3930\nf 546 5174 551\nf 885 4987 1404\nf 4085 546 1953\nf 885 3963 4987\nf 3841 3770 3166\nf 3851 6099 5180\nf 546 750 1953\nf 682 4020 3889\nf 1472 4327 1407\nf 591 2070 3960\nf 591 3960 3887\nf 682 5159 593\nf 2187 761 3343\nf 3923 3888 2297\nf 3923 944 3888\nf 2187 2023 761\nf 4117 3930 3269\nf 2231 700 705\nf 537 4174 827\nf 2235 795 872\nf 537 4295 4174\nf 4388 454 508\nf 1892 758 2780\nf 774 2154 3969\nf 795 2003 535\nf 795 2407 2003\nf 3883 1634 2232\nf 835 5149 649\nf 2103 585 5747\nf 799 1607 2387\nf 1987 263 668\nf 5185 2055 4012\nf 2055 4065 4012\nf 4158 4045 2402\nf 4045 2188 2402\nf 3884 3345 3343\nf 4869 4139 798\nf 795 535 872\nf 1831 370 4429\nf 2208 5178 830\nf 2051 534 717\nf 4776 2244 2847\nf 4131 1987 1607\nf 566 3983 509\nf 2189 2226 5178\nf 2971 2162 774\nf 4356 2612 584\nf 835 649 4188\nf 638 5140 4097\nf 637 4356 584\nf 1228 2349 2161\nf 714 3885 4584\nf 1228 2189 2208\nf 5218 5185 4212\nf 4229 4227 649\nf 4229 5149 2241\nf 635 767 4236\nf 1018 2382 2239\nf 5100 1991 4293\nf 3697 4235 4293\nf 5220 2292 796\nf 666 5949 6023\nf 666 671 3890\nf 699 2363 892\nf 4293 4098 779\nf 763 4136 4072\nf 5556 5491 2148\nf 4382 1539 2239\nf 3977 731 4824\nf 4161 571 4235\nf 571 2543 4235\nf 5556 2164 3855\nf 5193 763 4072\nf 516 5206 568\nf 4092 4206 3105\nf 516 1982 1129\nf 2662 5176 639\nf 4014 2273 681\nf 3172 4385 639\nf 4014 2362 2273\nf 4661 217 5072\nf 892 2431 4068\nf 2379 633 2959\nf 2814 1668 772\nf 1009 3828 901\nf 4096 2032 772\nf 2043 4411 4317\nf 2379 590 4239\nf 3908 785 4132\nf 4250 4318 2814\nf 785 2406 4132\nf 4951 4959 16\nf 4318 491 642\nf 5214 2718 4172\nf 4247 4258 5136\nf 3908 4078 785\nf 4096 4178 4259\nf 4307 2320 4432\nf 4258 4039 4209\nf 4239 5148 2379\nf 2032 3982 693\nf 4259 2262 3982\nf 2032 4096 3982\nf 5108 4145 4109\nf 910 4415 480\nf 1967 2320 4413\nf 4109 801 2029\nf 4066 633 903\nf 4095 4249 459\nf 903 2028 727\nf 862 663 2299\nf 1588 1396 3196\nf 3659 476 440\nf 5217 862 4055\nf 2105 574 4176\nf 5172 602 4210\nf 4178 574 2368\nf 4177 1588 4176\nf 4240 2324 4209\nf 4249 4095 2511\nf 5043 3274 2511\nf 5043 4397 2304\nf 851 2027 677\nf 5144 617 3987\nf 495 2405 4240\nf 5144 5104 669\nf 459 495 531\nf 617 4181 3987\nf 4123 4048 4049\nf 2069 3757 3780\nf 851 5194 5102\nf 4049 868 5102\nf 5194 4202 2341\nf 5102 868 4016\nf 5102 5194 4049\nf 2122 2303 2341\nf 2267 4257 3987\nf 5203 2352 4052\nf 797 2513 557\nf 2513 641 4242\nf 4224 2321 4242\nf 4833 489 4102\nf 4447 3274 2304\nf 2046 5215 4010\nf 4224 3144 2321\nf 1969 321 595\nf 2466 412 1876\nf 5096 586 542\nf 2351 797 557\nf 4030 873 5103\nf 2831 4182 60\nf 5183 586 4263\nf 4986 5103 803\nf 4986 4154 5103\nf 1945 3580 583\nf 1945 583 4331\nf 2414 115 4292\nf 883 5138 2035\nf 4017 951 2112\nf 2422 4182 1876\nf 2414 2452 4316\nf 4162 686 4220\nf 5142 2249 4023\nf 60 4182 567\nf 4292 115 4590\nf 768 533 504\nf 4876 806 3811\nf 715 300 4316\nf 2831 450 1876\nf 2422 1876 412\nf 707 883 713\nf 4448 2419 4499\nf 4340 528 4518\nf 4336 4226 4838\nf 4605 2018 2884\nf 5094 4226 5041\nf 4548 4185 485\nf 715 1998 1974\nf 504 4448 4499\nf 4499 2419 4416\nf 2290 5094 5041\nf 4156 4838 485\nf 4470 419 4416\nf 4148 74 838\nf 870 942 4019\nf 5469 832 4019\nf 2467 1933 1325\nf 74 4909 942\nf 555 5112 2016\nf 5112 538 2016\nf 5112 4605 538\nf 4520 2290 5041\nf 4842 4101 4108\nf 3966 74 942\nf 66 4308 3984\nf 941 951 2227\nf 848 6072 5294\nf 66 369 4361\nf 3082 90 4310\nf 4232 4363 4205\nf 3956 2100 2261\nf 3956 3725 2100\nf 2272 4909 653\nf 749 2030 5169\nf 4135 4361 1488\nf 3984 4497 369\nf 2373 4135 685\nf 348 1436 4314\nf 73 2019 4111\nf 4223 2294 5200\nf 541 4157 1508\nf 406 1436 4378\nf 2209 3956 3901\nf 73 654 2373\nf 1529 4342 841\nf 4260 4446 1508\nf 4275 4147 5038\nf 603 4962 2360\nf 5037 4157 781\nf 4269 720 2369\nf 5005 4338 4306\nf 692 814 909\nf 2370 4393 520\nf 3106 874 692\nf 1377 576 640\nf 4373 580 4026\nf 634 4180 3995\nf 4306 2369 5005\nf 2369 2372 4269\nf 1529 4273 420\nf 1468 4962 603\nf 420 4377 1594\nf 2229 2308 3985\nf 3985 2308 812\nf 4375 4574 2954\nf 4338 4419 1471\nf 720 4342 5005\nf 550 2372 5042\nf 789 757 3258\nf 4118 4119 5181\nf 646 2441 2204\nf 1456 548 4243\nf 2372 2391 5042\nf 646 2204 548\nf 335 4183 4489\nf 5184 578 4341\nf 512 2902 519\nf 979 2307 611\nf 5011 335 4489\nf 416 4400 378\nf 2000 483 647\nf 2000 5184 483\nf 886 3930 4117\nf 593 675 682\nf 2123 736 605\nf 5159 5187 2123\nf 2253 3876 3951\nf 2270 2281 675\nf 4376 2441 646\nf 76 378 4872\nf 643 1953 709\nf 643 645 605\nf 4352 573 443\nf 5089 5084 573\nf 4352 5089 573\nf 683 2323 2237\nf 4900 179 319\nf 3121 4563 410\nf 2023 4169 679\nf 3121 1897 4563\nf 3960 3804 3887\nf 773 2789 4198\nf 1516 679 4169\nf 2231 2361 2354\nf 5009 2013 2162\nf 2013 774 2162\nf 835 4061 3967\nf 4390 444 2532\nf 4301 5140 584\nf 4061 507 3967\nf 2230 2049 532\nf 4128 4301 4168\nf 1147 2075 5031\nf 2667 2729 4534\nf 370 2667 4534\nf 2188 4345 2047\nf 4158 2402 2013\nf 5031 3674 829\nf 2235 3345 3943\nf 4869 732 4139\nf 2323 3948 4127\nf 3422 2188 2047\nf 3674 5031 2075\nf 4107 445 714\nf 566 4584 3983\nf 4165 2350 708\nf 794 4149 2244\nf 794 4776 5208\nf 4022 5140 4301\nf 2189 5178 2208\nf 507 4305 5176\nf 3967 507 833\nf 626 2059 4246\nf 2230 4188 2315\nf 4235 3697 4161\nf 3089 1544 5157\nf 5193 3014 765\nf 2029 801 2375\nf 2401 4299 4297\nf 2568 902 2233\nf 801 4056 2375\nf 3120 4248 4599\nf 4092 1129 1982\nf 5206 1129 5157\nf 1991 4236 3931\nf 4236 767 734\nf 701 3105 4137\nf 568 2401 4179\nf 164 280 2499\nf 892 4068 1540\nf 5012 498 1772\nf 4065 4106 4012\nf 4065 1869 1983\nf 819 1539 702\nf 4370 497 2312\nf 4246 5127 4166\nf 532 2049 2730\nf 912 635 4455\nf 609 5127 2059\nf 3907 4076 4056\nf 2816 1773 3953\nf 4250 2814 4368\nf 4096 4259 3982\nf 4076 2375 4056\nf 3978 623 4239\nf 5171 1668 642\nf 4077 6033 3940\nf 2217 3879 2337\nf 590 2043 3978\nf 1668 4318 642\nf 4239 2033 5148\nf 5171 1037 3660\nf 775 4178 4096\nf 772 4324 2814\nf 4368 4171 4172\nf 4171 5214 4172\nf 775 4096 772\nf 3953 1773 4278\nf 3907 5197 2063\nf 4264 766 791\nf 4186 2291 766\nf 476 1037 510\nf 253 527 4371\nf 574 4319 4177\nf 3188 510 1037\nf 510 4371 5124\nf 4874 4550 111\nf 5165 2267 3987\nf 3196 1396 4238\nf 4874 111 479\nf 4178 4319 574\nf 3196 4115 4176\nf 2340 1587 4238\nf 4240 2405 2324\nf 2027 5104 5144\nf 5172 4215 807\nf 4257 2027 5144\nf 5212 4123 4049\nf 4447 2304 1356\nf 3274 5043 2304\nf 4257 5144 3987\nf 1357 4315 4011\nf 4039 4115 531\nf 677 530 4202\nf 851 5102 2165\nf 1587 628 3337\nf 530 4257 2267\nf 677 2027 4257\nf 677 4257 530\nf 2046 4263 5215\nf 4833 1379 489\nf 4224 641 4833\nf 4315 641 540\nf 4315 1379 4833\nf 473 4713 545\nf 636 4173 5098\nf 4173 1765 5098\nf 4263 2351 5183\nf 3169 1969 3724\nf 2058 540 2513\nf 4833 4102 4224\nf 2466 4950 412\nf 586 5096 4263\nf 2266 5143 879\nf 1974 613 616\nf 586 5183 5098\nf 4729 4331 583\nf 1945 4331 542\nf 4162 484 686\nf 567 3726 4289\nf 664 2289 10\nf 2219 4953 610\nf 583 3580 450\nf 4436 1199 2422\nf 4292 4590 4244\nf 4875 3970 4093\nf 567 4182 1199\nf 4875 4618 4220\nf 943 2125 5105\nf 4379 353 453\nf 4379 3453 353\nf 453 115 3726\nf 2125 893 753\nf 4876 4875 4220\nf 484 5122 4353\nf 5199 4093 707\nf 484 4353 686\nf 504 4340 768\nf 4017 2112 5138\nf 4499 4651 528\nf 4518 4838 4226\nf 4017 5138 793\nf 4879 4017 793\nf 5112 555 754\nf 528 4651 4548\nf 5041 4336 4082\nf 716 4113 1554\nf 716 485 4113\nf 4470 2419 2969\nf 439 209 58\nf 4044 4399 4497\nf 544 4226 5094\nf 2227 475 941\nf 271 315 4955\nf 4340 4906 768\nf 4044 4497 3984\nf 4603 18 488\nf 4399 488 2331\nf 4416 2419 4470\nf 2272 678 2030\nf 4108 612 3968\nf 4308 4225 4043\nf 4230 4361 4135\nf 3081 1489 4310\nf 710 1508 4446\nf 592 4101 4842\nf 2256 2209 3901\nf 4111 2019 4907\nf 4329 2019 4013\nf 4911 4844 39\nf 2022 1488 4310\nf 2022 4135 1488\nf 587 4260 4157\nf 2205 2279 4954\nf 4223 5200 3823\nf 4330 4275 5038\nf 2205 3979 4877\nf 541 778 659\nf 4985 2205 5192\nf 923 2089 945\nf 2205 4954 3979\nf 5192 582 4985\nf 5037 4840 4877\nf 2205 4877 4840\nf 4269 2372 550\nf 529 1377 640\nf 4062 2360 4090\nf 2056 3886 6\nf 993 1042 3846\nf 4342 720 841\nf 5005 4342 4231\nf 1594 4233 4231\nf 3123 1703 2366\nf 469 4873 4668\nf 582 4021 4160\nf 2295 3979 745\nf 4840 5192 2205\nf 552 4330 4985\nf 539 4330 552\nf 398 5091 4543\nf 4402 4512 309\nf 211 4453 474\nf 4558 4374 2549\nf 474 4357 515\nf 2171 2229 2371\nf 4419 4338 5162\nf 2229 5181 2308\nf 1457 2833 487\nf 4360 548 1456\nf 611 2497 979\nf 548 2371 4243\nf 4424 4507 4929\nf 2034 4374 4558\nf 20 438 4969\nf 490 1956 1627\nf 1956 2005 4302\nf 2696 519 458\nf 512 519 4381\nf 4268 2200 4376\nf 2064 4194 2185\nf 4341 483 5184\nf 2000 335 5184\nf 2000 4360 1456\nf 601 5174 4987\nf 335 2000 1456\nf 547 752 4163\nf 579 4296 2270\nf 601 4195 5175\nf 547 750 546\nf 547 4163 750\nf 4195 4194 5175\nf 5174 5175 551\nf 2799 4184 4400\nf 579 4294 447\nf 645 2123 605\nf 5139 2808 76\nf 378 61 416\nf 2270 675 593\nf 5159 579 593\nf 2070 446 4170\nf 2123 645 536\nf 2123 5187 736\nf 643 709 4094\nf 4294 579 536\nf 4294 460 447\nf 433 4184 2799\nf 446 443 4203\nf 2070 680 446\nf 4296 2250 2270\nf 4203 2788 773\nf 3930 1348 3807\nf 680 443 446\nf 5089 2381 4405\nf 2789 2788 1516\nf 4169 2789 1516\nf 2316 4198 947\nf 773 4198 4126\nf 3121 2054 1897\nf 700 2354 4024\nf 2883 3932 2316\nf 4463 2047 698\nf 2354 2361 827\nf 3960 4170 4126\nf 4203 443 4350\nf 1516 2788 508\nf 4587 2538 279\nf 1147 5031 2154\nf 4164 3422 2047\nf 827 4174 2354\nf 679 4051 2023\nf 2730 401 629\nf 2730 2048 448\nf 1448 3965 4200\nf 1448 4097 4131\nf 2730 2049 2048\nf 833 1937 1869\nf 1448 4200 830\nf 4188 2230 4061\nf 4496 514 5118\nf 2600 526 462\nf 4303 4164 4460\nf 2600 4933 526\nf 650 2013 2402\nf 4035 4303 322\nf 4035 743 4303\nf 322 4303 2726\nf 2161 570 4159\nf 3674 534 2051\nf 2729 2726 4534\nf 4164 4463 4460\nf 4463 4105 4429\nf 534 2349 717\nf 2729 4228 322\nf 534 570 2349\nf 5846 2387 4032\nf 4940 3961 3983\nf 4168 2049 4128\nf 4103 566 4356\nf 35 509 3983\nf 4168 2048 2049\nf 2350 4228 708\nf 4623 4567 202\nf 5140 638 637\nf 5178 638 830\nf 2226 4103 637\nf 3885 4623 4940\nf 4103 4356 637\nf 227 3980 4921\nf 1937 4246 4166\nf 1937 4385 4246\nf 401 4387 4505\nf 1937 2662 4385\nf 2813 626 4358\nf 401 1992 629\nf 626 4246 4358\nf 2442 2338 2312\nf 4098 2292 702\nf 2239 1067 1018\nf 2045 1066 1018\nf 2798 2400 4537\nf 577 480 1791\nf 910 4461 1967\nf 568 2432 516\nf 4599 2443 4297\nf 796 4824 2302\nf 2239 2382 4455\nf 2382 630 4455\nf 205 4597 4739\nf 1539 1067 2239\nf 2045 1018 1067\nf 702 1539 779\nf 4511 4661 524\nf 4208 161 4824\nf 2401 568 5206\nf 5206 1544 2401\nf 3120 4299 1400\nf 516 2432 1338\nf 4248 521 366\nf 283 4597 4537\nf 4750 4959 4960\nf 5012 1772 3172\nf 497 2442 2312\nf 497 5006 2442\nf 2059 4068 609\nf 1869 2055 833\nf 639 5012 3172\nf 4591 4450 349\nf 1772 4370 2813\nf 4591 2442 5006\nf 4591 5006 403\nf 2217 2052 4172\nf 3978 5214 623\nf 1338 1982 516\nf 421 3352 3799\nf 2032 2062 4324\nf 2033 623 2062\nf 577 2443 910\nf 4750 4743 4959\nf 727 2028 845\nf 2052 2217 2346\nf 1668 2814 4318\nf 4411 2816 477\nf 693 2033 2062\nf 2379 863 2263\nf 2781 4456 523\nf 4187 4411 477\nf 2052 4250 4368\nf 2346 625 2130\nf 2346 4298 4250\nf 1668 775 772\nf 2346 2130 4298\nf 476 3660 1037\nf 642 1037 5171\nf 4319 775 5171\nf 1668 5171 775\nf 4319 4178 775\nf 5124 476 510\nf 4286 2342 2353\nf 4550 4784 111\nf 3659 1588 4177\nf 727 4066 903\nf 3659 3660 476\nf 2405 5191 2324\nf 2324 5191 2194\nf 4240 4039 531\nf 2027 755 5104\nf 1438 1356 2304\nf 624 2268 3274\nf 1438 2304 4397\nf 473 489 1379\nf 4833 641 4315\nf 2268 624 4042\nf 4095 3337 5043\nf 4202 530 2122\nf 2268 5165 2511\nf 113 4102 4564\nf 557 4189 5183\nf 10 4729 4326\nf 4292 4244 484\nf 1945 4173 3580\nf 715 2452 5095\nf 4316 4289 2414\nf 4906 2377 806\nf 2016 678 555\nf 4353 5122 569\nf 352 2198 4814\nf 4906 4340 544\nf 4470 5027 4843\nf 5094 4879 2377\nf 2199 2313 942\nf 2199 2272 1507\nf 4013 4205 4329\nf 4135 2022 685\nf 4308 4043 3984\nf 2256 2089 2209\nf 4081 592 749\nf 4081 4230 654\nf 592 4842 1507\nf 90 4363 4232\nf 25 2037 2326\nf 4446 4205 4363\nf 1436 406 4314\nf 1508 4157 4260\nf 4386 4970 413\nf 520 496 563\nf 4655 4418 4367\nf 1583 4183 299\nf 4334 4273 4080\nf 563 576 1377\nf 1703 1819 1521\nf 1703 529 640\nf 4343 520 345\nf 457 468 1755\nf 4231 5162 4338\nf 4334 539 4333\nf 884 4685 4291\nf 4344 580 2987\nf 4971 24 4684\nf 4377 420 4333\nf 4021 778 580\nf 564 350 4924\nf 1471 4306 4338\nf 487 1755 3023\nf 4231 4342 1594\nf 4419 4380 1471\nf 5091 236 178\nf 4291 515 4420\nf 4268 4376 752\nf 4268 5168 2200\nf 5184 335 5011\nf 61 4834 159\nf 4489 2008 2040\nf 645 4349 536\nf 5211 417 81\nf 4400 416 5090\nf 644 643 4094\nf 4203 773 4170\nf 573 5084 371\nf 5089 4405 5084\nf 319 179 385\nf 385 4937 4538\nf 3960 4126 3804\nf 4885 4937 385\nf 4900 4949 179\nf 680 4175 4352\nf 761 2023 4051\nf 5118 4412 4496\nf 679 537 827\nf 4035 572 2075\nf 29 4581 4933\nf 29 4870 4581\nf 5176 2662 507\nf 3961 336 35\nf 2531 4354 444\nf 4301 584 2531\nf 410 8 5118\nf 2847 2051 717\nf 3821 2003 2002\nf 2667 2918 4927\nf 1228 831 717\nf 4584 4383 714\nf 4159 570 4107\nf 2387 5846 4141\nf 4141 799 2387\nf 638 2226 637\nf 5099 4498 4505\nf 507 4061 4305\nf 277 690 4944\nf 4494 411 414\nf 2813 4370 1066\nf 63 4786 217\nf 4382 635 5100\nf 4455 630 912\nf 4355 4245 2382\nf 609 2431 4014\nf 1018 1066 4355\nf 4237 2432 4040\nf 4396 767 404\nf 4248 366 4599\nf 523 4237 4040\nf 2432 2029 1338\nf 4236 734 3931\nf 1544 4299 2401\nf 4297 577 4179\nf 366 521 283\nf 1983 681 4065\nf 507 2662 833\nf 2662 1937 833\nf 497 498 5006\nf 4245 4355 2312\nf 2443 366 4461\nf 4750 4806 4743\nf 625 4589 2039\nf 4437 1806 2564\nf 3982 2028 693\nf 4942 478 282\nf 4741 4724 4806\nf 1009 2271 864\nf 2959 633 864\nf 4317 3978 2043\nf 2346 4428 625\nf 2814 4324 4368\nf 4324 4171 4368\nf 4903 4586 59\nf 3188 491 4337\nf 4398 4508 4395\nf 1396 1588 4286\nf 463 4757 4981\nf 491 4298 4337\nf 3659 4286 1588\nf 845 2262 2260\nf 2262 4259 4281\nf 2405 2004 5191\nf 4115 4039 2105\nf 294 2317 2342\nf 2317 2353 2342\nf 4181 4249 5165\nf 4696 4542 4586\nf 2065 4258 4209\nf 3987 4181 5165\nf 4397 4430 4571\nf 4249 495 459\nf 4011 2057 599\nf 2268 2267 5165\nf 522 2122 4042\nf 2341 4202 2122\nf 5203 4052 797\nf 2351 4263 4986\nf 4315 1357 1379\nf 4287 4173 636\nf 4467 4570 294\nf 5195 2303 3936\nf 2057 2058 3936\nf 4189 5098 5183\nf 4326 1705 616\nf 664 4326 1999\nf 1974 300 715\nf 2466 450 3724\nf 19 4729 583\nf 115 4289 3726\nf 595 364 4950\nf 10 4326 664\nf 1999 5142 664\nf 1999 4326 616\nf 5087 180 4682\nf 484 4162 4292\nf 4162 2414 4292\nf 5199 1998 715\nf 1198 2419 4448\nf 686 4114 344\nf 3229 3142 4468\nf 5106 3062 5122\nf 5106 3142 3229\nf 1198 2026 2339\nf 528 4340 504\nf 4113 4185 4469\nf 4544 352 4814\nf 716 1554 754\nf 4336 4838 4156\nf 4416 419 4490\nf 1325 2017 2018\nf 1325 1933 2017\nf 1325 1554 2467\nf 4500 4399 4044\nf 126 4738 209\nf 2740 1818 271\nf 5094 2377 544\nf 4707 290 4662\nf 4232 4013 685\nf 5169 4225 4308\nf 2884 4044 538\nf 4081 648 4230\nf 696 5160 5190\nf 696 983 2211\nf 18 4955 4602\nf 2327 3080 4454\nf 90 3082 4454\nf 1488 4361 369\nf 4232 4205 4013\nf 648 5169 66\nf 369 3081 1488\nf 5169 4308 66\nf 3080 348 4363\nf 4454 3082 2036\nf 5052 4911 39\nf 361 139 4700\nf 2022 4232 685\nf 4844 361 4956\nf 80 4641 5093\nf 1436 4892 4378\nf 587 4329 4260\nf 5037 4877 4266\nf 4386 4384 4841\nf 4892 348 3080\nf 4373 4451 4389\nf 4378 2037 2367\nf 2490 4384 4386\nf 4418 345 4367\nf 778 4026 580\nf 4026 406 4373\nf 4378 2367 406\nf 345 520 563\nf 4418 4233 4343\nf 4417 4488 1755\nf 1321 2005 21\nf 4655 4656 346\nf 3117 4423 4445\nf 4424 4929 4576\nf 884 337 2832\nf 4970 4841 4971\nf 4291 2034 884\nf 4558 4424 4576\nf 2330 503 4160\nf 4892 3080 2327\nf 552 582 503\nf 4420 4374 2034\nf 474 4452 4351\nf 4351 4427 502\nf 490 2832 486\nf 4453 1627 4302\nf 4452 4425 4427\nf 4402 4938 2913\nf 4924 4925 4615\nf 147 203 5081\nf 4445 456 3117\nf 1404 4987 3962\nf 4367 1377 529\nf 1457 487 1466\nf 4465 1956 490\nf 2902 5011 2040\nf 316 2902 2040\nf 2171 789 4118\nf 490 1627 4685\nf 474 515 211\nf 2549 4924 4444\nf 486 4434 4465\nf 38 4615 4820\nf 515 4357 2913\nf 4972 108 355\nf 709 750 4341\nf 260 2364 398\nf 546 551 547\nf 2364 468 398\nf 4851 23 5062\nf 259 316 2040\nf 5085 4543 117\nf 5011 2902 512\nf 316 26 458\nf 4346 4872 2318\nf 433 2381 4335\nf 5159 536 579\nf 4898 326 417\nf 5159 2123 536\nf 447 4372 4296\nf 326 4746 417\nf 4349 645 511\nf 4169 2023 947\nf 4352 4372 4335\nf 680 2070 481\nf 371 4515 4350\nf 481 2070 591\nf 446 4203 4170\nf 371 4350 573\nf 4139 2883 798\nf 4563 4538 8\nf 4885 333 4747\nf 333 4486 4747\nf 4949 4592 333\nf 4496 2538 4587\nf 461 5129 1845\nf 2053 2345 4592\nf 4528 4853 8\nf 4175 4372 4352\nf 481 591 4207\nf 4126 4170 773\nf 461 29 1688\nf 3156 292 4366\nf 705 4345 4045\nf 4422 461 1688\nf 29 4933 1688\nf 4587 279 461\nf 2232 761 4051\nf 4024 4091 700\nf 833 2055 3967\nf 638 5178 2226\nf 2049 2230 4128\nf 4390 422 1687\nf 584 5140 637\nf 461 279 29\nf 4422 1688 2600\nf 2847 2244 2051\nf 4429 4105 1831\nf 2600 462 1831\nf 4534 4429 370\nf 4164 4303 743\nf 4933 2600 1688\nf 462 370 1831\nf 3422 743 1147\nf 1147 743 2075\nf 4165 570 534\nf 2729 418 455\nf 1147 2154 650\nf 650 2402 3422\nf 2075 743 4035\nf 4623 202 4598\nf 1474 4200 619\nf 4149 618 829\nf 4027 2847 831\nf 509 4356 566\nf 3204 4767 4831\nf 4551 12 4860\nf 452 227 362\nf 4246 4385 4358\nf 5099 325 4498\nf 4382 2239 4455\nf 63 3208 4617\nf 639 674 5012\nf 4355 1066 4370\nf 4068 2431 609\nf 1967 4413 4415\nf 366 283 4461\nf 2798 4960 4951\nf 523 3953 4237\nf 4433 442 4396\nf 2059 626 2045\nf 477 4456 421\nf 767 635 912\nf 324 4960 2798\nf 4442 4884 4750\nf 524 404 365\nf 4245 2338 365\nf 365 2338 4511\nf 1400 4299 1544\nf 4245 2312 2338\nf 1991 3697 4293\nf 4370 1772 497\nf 2059 2045 5128\nf 2413 402 498\nf 4942 4835 4967\nf 4392 301 2337\nf 3879 2217 4172\nf 2032 4324 772\nf 4172 2718 3879\nf 143 16 281\nf 2130 2257 4337\nf 4298 4318 4250\nf 4298 491 4318\nf 4307 3880 3352\nf 4171 2062 623\nf 2320 2400 4951\nf 4456 2781 421\nf 2781 480 4415\nf 2781 1791 480\nf 2243 4428 301\nf 2346 2217 4428\nf 693 5148 2033\nf 2257 2039 4569\nf 2257 4359 4337\nf 4324 2062 4171\nf 4337 4298 2130\nf 4586 233 59\nf 253 4359 387\nf 1396 2353 4238\nf 2015 440 476\nf 4397 4571 1438\nf 176 4467 4332\nf 1396 4286 2353\nf 2015 4332 440\nf 4177 4319 3660\nf 4395 4508 4696\nf 440 4332 2342\nf 4508 4542 4696\nf 459 1735 1587\nf 4238 1587 1735\nf 624 4447 599\nf 531 4115 1735\nf 4115 3196 1735\nf 284 4686 4902\nf 3337 4430 4397\nf 459 1587 4095\nf 522 2303 2122\nf 473 5055 4713\nf 4287 3144 113\nf 3144 4224 4102\nf 4369 567 4289\nf 3580 4173 3169\nf 3144 4287 636\nf 595 3724 1969\nf 453 353 4468\nf 1825 560 4958\nf 686 344 4220\nf 10 728 4196\nf 728 10 2289\nf 4846 4742 359\nf 192 4952 145\nf 4590 115 453\nf 1705 19 60\nf 4326 4729 19\nf 3449 3229 4468\nf 3142 5106 4244\nf 5199 5095 4093\nf 4468 3142 453\nf 4416 3385 4651\nf 3448 2339 2026\nf 5106 4313 3062\nf 4416 4490 3385\nf 3062 449 569\nf 544 4518 4226\nf 449 1198 4448\nf 4156 485 716\nf 3385 4490 4469\nf 4492 4602 4935\nf 2017 4459 2018\nf 4647 4699 4325\nf 4500 4044 2884\nf 3223 1933 2467\nf 4148 4909 74\nf 2036 2327 4454\nf 4935 4844 4911\nf 66 4361 648\nf 4602 488 18\nf 56 4641 80\nf 3273 25 2326\nf 4043 4225 2016\nf 4225 678 2016\nf 5169 648 749\nf 157 4971 4841\nf 90 4454 3080\nf 234 312 28\nf 4026 710 4314\nf 39 2258 3273\nf 781 541 659\nf 2326 4378 4892\nf 4687 287 496\nf 2367 482 4451\nf 2326 2327 3273\nf 781 4157 541\nf 2832 4488 4417\nf 345 4418 4343\nf 4367 4656 4655\nf 1321 21 3123\nf 576 287 4536\nf 640 3024 2366\nf 486 4417 2833\nf 311 289 210\nf 4434 486 2833\nf 4434 1819 4465\nf 4302 210 4912\nf 4434 2833 3032\nf 399 289 4546\nf 4527 2897 457\nf 2897 355 457\nf 2034 4576 884\nf 2005 1956 21\nf 4160 4687 2330\nf 4160 4344 4687\nf 4864 4891 5060\nf 4558 4576 2034\nf 502 441 4512\nf 4685 211 4291\nf 4453 211 1627\nf 4512 4402 502\nf 5053 4733 441\nf 4351 4452 4427\nf 4291 211 515\nf 4917 4773 203\nf 4507 4464 4873\nf 4727 3202 23\nf 4813 288 4931\nf 1466 487 3023\nf 1466 4380 1457\nf 4380 346 1457\nf 108 273 236\nf 4434 3032 1521\nf 1755 4488 457\nf 519 2902 316\nf 4462 259 2008\nf 2064 5168 551\nf 4462 260 259\nf 316 5085 26\nf 4462 456 4445\nf 1583 4574 456\nf 456 4574 3117\nf 50 4857 4482\nf 99 249 4783\nf 2364 5155 468\nf 2364 4462 4445\nf 483 752 647\nf 4381 519 2696\nf 2364 260 4462\nf 460 518 447\nf 4346 565 4872\nf 643 644 645\nf 4294 4349 2356\nf 4335 4372 518\nf 4349 4294 536\nf 2356 460 4294\nf 4335 518 433\nf 235 49 184\nf 4296 4372 4175\nf 4175 680 481\nf 443 680 4352\nf 5044 4515 371\nf 4496 4091 514\nf 454 4900 319\nf 2070 4170 3960\nf 454 4515 4900\nf 4592 4486 333\nf 2952 4295 537\nf 385 4563 1897\nf 5084 5211 2053\nf 385 4538 4563\nf 4535 1845 1846\nf 410 4563 8\nf 410 4295 3121\nf 4198 2789 4169\nf 705 4034 4345\nf 4697 4792 4897\nf 2013 5009 4158\nf 698 4105 4463\nf 4587 461 1845\nf 2187 947 2023\nf 5947 6043 5388\nf 4767 168 3069\nf 2189 513 2226\nf 4356 509 2612\nf 4921 3980 876\nf 1687 422 876\nf 1837 1900 2492\nf 3961 4598 68\nf 4870 57 4779\nf 4034 700 4091\nf 1845 4535 4587\nf 4345 2188 4045\nf 526 4593 11\nf 4234 4295 410\nf 4422 5129 461\nf 526 4594 4593\nf 705 700 4034\nf 2354 4174 4024\nf 4228 2350 322\nf 1831 4422 2600\nf 4164 743 3422\nf 513 4103 2226\nf 2277 5846 4032\nf 534 3674 572\nf 4165 534 572\nf 1474 4027 831\nf 570 4165 4107\nf 3965 799 1479\nf 4940 4623 4598\nf 2592 4567 4623\nf 2763 4567 2592\nf 35 3983 3961\nf 513 4383 4103\nf 4159 714 4383\nf 200 1878 2677\nf 2612 509 35\nf 4596 82 4624\nf 498 5012 2413\nf 414 452 362\nf 3980 4504 4387\nf 1992 401 4505\nf 4807 96 4431\nf 404 912 630\nf 494 711 1540\nf 277 5099 4505\nf 2531 444 4168\nf 819 702 2292\nf 734 4396 3120\nf 2443 577 4297\nf 4856 4661 5072\nf 477 2816 4456\nf 4856 524 4661\nf 5072 521 4856\nf 4936 1967 4461\nf 4248 442 4856\nf 4433 4396 404\nf 283 4936 4461\nf 1991 5100 4236\nf 767 4396 734\nf 3208 30 4617\nf 767 912 404\nf 629 1992 2725\nf 4431 403 402\nf 2413 4431 402\nf 4245 365 630\nf 400 691 276\nf 4498 733 1992\nf 4504 411 277\nf 1066 626 2813\nf 4498 1992 4505\nf 421 4415 4413\nf 2718 5214 4317\nf 301 4428 2337\nf 4428 2217 2337\nf 4959 4724 16\nf 4456 3953 523\nf 4456 2816 3953\nf 16 4432 4951\nf 4741 4795 4724\nf 2320 4307 4413\nf 4432 2320 4951\nf 16 143 4432\nf 4398 4371 527\nf 253 2041 4359\nf 510 2041 4371\nf 5171 3660 4319\nf 3660 3659 4177\nf 3188 2041 510\nf 4568 4529 37\nf 2041 4337 4359\nf 4491 4815 4753\nf 4286 440 2342\nf 2041 253 4371\nf 4508 17 4542\nf 4430 3337 628\nf 176 4395 4696\nf 4542 4908 4586\nf 4395 176 4332\nf 4542 327 4908\nf 4177 4176 574\nf 4467 2342 4332\nf 4529 4803 4491\nf 440 4286 3659\nf 4176 1588 3196\nf 624 599 522\nf 669 617 5144\nf 4430 4757 4571\nf 3274 4447 624\nf 2340 2317 4981\nf 506 473 1379\nf 284 4902 189\nf 4430 4981 4757\nf 4920 4532 4693\nf 506 1438 318\nf 1356 1438 506\nf 489 545 4102\nf 540 4011 4315\nf 3169 4173 4287\nf 300 1974 616\nf 636 4189 2321\nf 4590 453 3142\nf 3449 4540 4509\nf 4244 4590 3142\nf 100 4756 4905\nf 560 3453 412\nf 4468 353 3449\nf 4846 4540 4595\nf 126 439 186\nf 2423 768 4114\nf 4353 4114 686\nf 4796 9 596\nf 5086 4752 3448\nf 806 2377 3811\nf 4082 2031 838\nf 754 2378 4156\nf 1325 2018 4605\nf 4580 3223 1728\nf 754 555 2378\nf 4156 2378 4336\nf 4185 4651 3385\nf 4421 2017 1933\nf 4658 3487 4738\nf 2740 2017 4421\nf 1173 4964 4216\nf 2745 225 5065\nf 2 4152 222\nf 1728 36 4904\nf 1933 4580 4421\nf 836 15 4988\nf 103 4086 133\nf 4044 4043 538\nf 4232 2022 90\nf 2022 4310 90\nf 451 4911 5052\nf 5065 4660 315\nf 488 4602 4492\nf 4043 2016 538\nf 2037 4378 2326\nf 2037 25 80\nf 361 291 139\nf 142 4740 139\nf 142 15 4740\nf 25 4649 80\nf 20 1321 3178\nf 4451 4373 406\nf 582 5192 659\nf 105 4759 5060\nf 4426 413 3024\nf 778 710 4026\nf 580 4344 4021\nf 4864 5060 4635\nf 4864 4811 4865\nf 4881 4760 132\nf 437 4886 51\nf 4478 27 2704\nf 5093 75 482\nf 640 4536 3024\nf 2490 4426 4536\nf 346 4419 4655\nf 399 4546 4797\nf 2913 4357 4402\nf 4733 171 4471\nf 4912 210 289\nf 132 4760 1849\nf 3023 1755 5155\nf 4357 474 4351\nf 21 1956 4465\nf 5060 4891 4800\nf 234 72 4635\nf 4759 4635 5060\nf 2832 4417 486\nf 4474 4809 4734\nf 4620 132 1849\nf 4733 4474 4734\nf 398 4543 260\nf 502 5053 441\nf 502 4357 4351\nf 4402 309 4938\nf 170 4312 4832\nf 486 4465 490\nf 4312 4668 4873\nf 502 4402 4357\nf 4734 69 4579\nf 211 4685 1627\nf 564 4924 2549\nf 4924 4615 38\nf 4830 5053 4427\nf 4444 4424 2549\nf 303 4732 4790\nf 91 4670 4782\nf 4507 4424 4444\nf 4423 4380 1466\nf 5155 1755 468\nf 3176 4423 3117\nf 260 4543 5085\nf 5078 4727 4744\nf 108 4645 273\nf 1755 487 4417\nf 487 2833 4417\nf 4464 4444 38\nf 4488 4527 457\nf 3023 4423 1466\nf 3176 4375 1471\nf 512 578 5184\nf 456 4462 2008\nf 23 4813 4931\nf 2954 299 2391\nf 578 4094 709\nf 511 645 644\nf 4349 511 4346\nf 416 4748 377\nf 511 565 4346\nf 460 4184 433\nf 5090 2381 2799\nf 4440 4834 61\nf 4346 2318 2356\nf 2053 5044 5084\nf 2799 2381 433\nf 2250 481 4207\nf 4405 417 5211\nf 2250 4175 481\nf 454 2054 508\nf 4388 2788 4203\nf 508 2952 1516\nf 85 49 46\nf 319 1897 2054\nf 4900 4515 5044\nf 81 4746 184\nf 4746 235 184\nf 4034 1846 4345\nf 332 4853 4871\nf 4126 4288 3804\nf 4126 4198 4288\nf 4871 57 332\nf 57 4880 4779\nf 57 138 4880\nf 537 1516 2952\nf 4870 188 57\nf 4764 4974 4928\nf 8 4852 4528\nf 4852 181 4528\nf 698 2047 4345\nf 3821 5145 3999\nf 336 3961 68\nf 4301 2531 4168\nf 230 231 336\nf 2048 444 4390\nf 448 1687 876\nf 4764 4928 174\nf 526 4933 4594\nf 4535 4496 4587\nf 4535 4091 4496\nf 2918 11 297\nf 168 165 77\nf 4022 3958 4097\nf 223 2763 418\nf 4927 418 2667\nf 2763 455 418\nf 4228 2729 455\nf 4927 223 418\nf 4140 4129 5137\nf 619 4200 1479\nf 714 445 3885\nf 4577 4573 4721\nf 227 452 3980\nf 4061 835 4188\nf 2711 2741 1713\nf 278 227 4551\nf 3980 452 4504\nf 362 4650 414\nf 4504 4505 4387\nf 414 411 452\nf 278 4551 4860\nf 4681 691 400\nf 325 733 4498\nf 325 4807 4431\nf 4644 3214 4712\nf 691 198 1353\nf 4654 32 53\nf 4878 4688 247\nf 230 2499 280\nf 3208 63 4560\nf 2655 2553 2688\nf 4802 96 397\nf 2045 1067 5128\nf 403 4787 4591\nf 4246 2059 5127\nf 422 4541 4939\nf 365 4511 524\nf 5072 205 4739\nf 5072 217 205\nf 217 4786 205\nf 4040 568 4179\nf 4786 63 4785\nf 217 104 63\nf 404 524 4433\nf 197 4802 4854\nf 1991 3089 3697\nf 1400 3931 734\nf 4505 4504 277\nf 4951 2400 2798\nf 4307 3352 4413\nf 3402 3375 2498\nf 2039 2130 625\nf 478 2039 4589\nf 478 4589 282\nf 2718 4317 4187\nf 282 4795 4741\nf 421 2781 4415\nf 3880 4392 3799\nf 2901 4646 305\nf 4884 4761 307\nf 3880 143 301\nf 1 4967 137\nf 1037 642 3188\nf 1 407 4942\nf 107 183 327\nf 407 478 4942\nf 387 4568 253\nf 17 4508 527\nf 5205 4265 4888\nf 5205 809 4265\nf 37 107 17\nf 4550 4910 121\nf 2015 5124 4398\nf 3337 4397 5043\nf 4542 107 327\nf 2353 2340 4238\nf 4569 478 407\nf 2015 4398 4395\nf 5055 473 506\nf 4874 479 294\nf 4981 628 2340\nf 4981 4430 628\nf 4636 255 4713\nf 4686 4636 4713\nf 5055 4902 4686\nf 189 4757 463\nf 364 4693 4532\nf 364 226 4950\nf 318 4571 4634\nf 1379 1357 1356\nf 506 318 5055\nf 4173 1945 1765\nf 4287 1969 3169\nf 4920 71 4756\nf 4902 4634 189\nf 545 4564 4102\nf 4564 4755 321\nf 300 4369 4316\nf 4923 4540 5026\nf 560 226 4958\nf 226 100 4958\nf 4532 100 226\nf 4540 4923 4595\nf 4682 180 192\nf 4905 5074 4758\nf 5087 14 2445\nf 2026 4313 3448\nf 353 3453 5026\nf 5027 4470 2969\nf 4758 106 180\nf 4682 192 145\nf 4816 4608 186\nf 4311 3229 4509\nf 4311 359 5086\nf 45 4752 5086\nf 229 2339 3448\nf 4311 4509 359\nf 359 45 5086\nf 267 5189 4683\nf 806 344 4114\nf 225 2745 4904\nf 225 218 5065\nf 4113 2467 1554\nf 3448 4752 229\nf 4752 4657 229\nf 225 4659 218\nf 2969 2419 1198\nf 1173 1174 4964\nf 5079 4659 123\nf 4698 2508 4964\nf 315 1818 5065\nf 186 4608 126\nf 4882 133 4965\nf 363 4935 4602\nf 538 4605 2884\nf 4613 4707 4660\nf 2884 2018 4500\nf 836 389 834\nf 2745 5065 1818\nf 4662 290 4545\nf 271 1818 315\nf 4459 271 18\nf 2030 1507 2272\nf 4660 4662 315\nf 18 4603 4459\nf 4310 1488 3081\nf 4310 1489 3082\nf 2367 4451 406\nf 4451 4384 4389\nf 482 2367 5093\nf 4978 3698 4\nf 496 520 2330\nf 4389 287 2987\nf 4969 4684 437\nf 3178 3024 413\nf 210 4968 311\nf 3032 346 4656\nf 4635 72 4864\nf 2366 1703 640\nf 2704 166 4881\nf 438 4684 4969\nf 3023 4445 4423\nf 1521 529 1703\nf 4619 350 564\nf 4607 4841 75\nf 28 4641 234\nf 520 4393 2330\nf 122 199 4673\nf 122 3635 199\nf 310 309 396\nf 122 4673 160\nf 309 4828 4938\nf 4715 396 4471\nf 4873 469 4507\nf 38 4444 4924\nf 4837 4745 4521\nf 4837 4521 5081\nf 304 4925 4828\nf 4917 4926 4773\nf 261 158 4667\nf 334 4530 4582\nf 4521 167 303\nf 4718 4645 4668\nf 4521 4745 167\nf 4645 108 4972\nf 273 224 237\nf 4727 5078 237\nf 4488 337 4527\nf 23 4931 5062\nf 26 249 2808\nf 578 709 4341\nf 236 237 5078\nf 99 4744 4851\nf 565 695 2696\nf 511 644 695\nf 4929 4527 4576\nf 4744 4727 23\nf 5139 2696 458\nf 2054 2952 508\nf 709 1953 750\nf 410 5118 514\nf 4562 373 4481\nf 4405 4898 417\nf 4405 2381 4898\nf 46 4849 187\nf 46 4481 4849\nf 4405 5211 5084\nf 4350 443 573\nf 4350 4515 4388\nf 49 85 184\nf 4184 2356 2318\nf 4034 4091 4535\nf 119 3039 5059\nf 5129 4105 698\nf 4024 4174 4234\nf 4852 182 4897\nf 4412 5118 4853\nf 8 4538 4852\nf 4974 3557 4671\nf 2726 4460 4534\nf 175 296 138\nf 4594 4933 4581\nf 4594 4581 4726\nf 2532 4541 4390\nf 4584 3885 4940\nf 336 4443 35\nf 165 4639 297\nf 2592 455 2763\nf 336 68 230\nf 4939 12 4921\nf 1988 1623 2867\nf 4860 125 278\nf 4860 12 5163\nf 4354 4443 2532\nf 4354 2532 444\nf 4726 4764 150\nf 4726 4779 4764\nf 4581 4779 4726\nf 4764 174 150\nf 279 4870 29\nf 714 4159 4107\nf 4848 4561 4721\nf 4639 4525 223\nf 4639 168 4525\nf 93 3069 4632\nf 4567 223 4525\nf 445 4228 455\nf 513 2189 2161\nf 418 2729 2667\nf 4305 4061 532\nf 4305 2725 5176\nf 4944 690 242\nf 690 411 4494\nf 278 362 227\nf 2725 733 674\nf 78 4859 83\nf 4859 4650 362\nf 4812 4771 295\nf 32 4812 53\nf 2388 3205 1495\nf 5092 4494 276\nf 4617 30 4604\nf 4553 130 242\nf 4480 250 248\nf 414 4650 276\nf 4504 452 411\nf 4688 4547 4441\nf 2725 674 5176\nf 4787 4802 197\nf 4787 96 4802\nf 2312 4355 4370\nf 4943 30 3208\nf 4802 130 4854\nf 4822 4516 4774\nf 4854 130 302\nf 4817 5080 4805\nf 521 5072 4739\nf 4786 47 205\nf 4560 4450 197\nf 4553 4866 302\nf 4560 349 4450\nf 4936 283 4537\nf 4591 4787 4450\nf 3120 1400 734\nf 733 2725 1992\nf 4787 197 4450\nf 4850 4835 4741\nf 301 281 2243\nf 47 4785 4915\nf 4510 1701 436\nf 625 4428 2243\nf 2039 2257 2130\nf 4977 4510 436\nf 283 521 4739\nf 143 281 301\nf 4248 4856 521\nf 4967 1 4942\nf 4817 434 5080\nf 434 436 354\nf 4040 2432 568\nf 2901 4778 4646\nf 4936 4537 2400\nf 47 4915 324\nf 30 4774 4604\nf 143 4307 4432\nf 143 3880 4307\nf 4888 4265 4714\nf 375 4815 4491\nf 4568 527 253\nf 809 425 4265\nf 4569 4359 2257\nf 4569 387 4359\nf 375 4803 1\nf 375 4491 4803\nf 4913 109 327\nf 17 4568 37\nf 4815 92 4753\nf 4569 2039 478\nf 4753 37 4491\nf 4769 4570 4903\nf 37 4529 4491\nf 4874 4570 4769\nf 479 463 2317\nf 4332 2015 4395\nf 4550 121 4784\nf 479 2317 294\nf 2353 2317 2340\nf 4855 4706 470\nf 387 4569 407\nf 124 809 5205\nf 4337 2041 3188\nf 4902 5055 318\nf 4571 4757 4634\nf 4713 255 545\nf 4950 226 560\nf 189 4634 4757\nf 4637 4693 4755\nf 4696 4586 4903\nf 3580 3724 450\nf 4436 412 3453\nf 284 4711 4728\nf 4637 4755 255\nf 545 255 4564\nf 2342 4467 294\nf 4509 3229 3449\nf 545 489 473\nf 4920 4756 4532\nf 4693 4637 4920\nf 4379 3726 1199\nf 4509 4540 4846\nf 100 4905 2445\nf 5161 606 106\nf 14 4958 2445\nf 267 4657 4690\nf 4436 3453 4379\nf 4890 4796 4690\nf 5087 4682 1411\nf 4923 5026 1825\nf 1411 4923 5087\nf 4799 4595 1411\nf 4601 4890 4539\nf 4648 215 216\nf 4601 4914 4890\nf 543 2561 2566\nf 5069 4483 4614\nf 5086 4313 4311\nf 4983 1711 5069\nf 344 806 4876\nf 569 2423 4353\nf 4890 9 4796\nf 4752 4539 4690\nf 4657 352 229\nf 2026 449 3062\nf 754 4156 716\nf 3062 4313 2026\nf 2508 1621 4964\nf 225 58 4659\nf 678 2272 653\nf 58 225 4904\nf 2339 229 4544\nf 4955 18 271\nf 4955 363 4602\nf 4545 290 4882\nf 36 4843 186\nf 4882 291 270\nf 4956 2258 39\nf 4490 1728 3223\nf 2467 4469 3223\nf 4580 4904 2745\nf 4459 4603 4500\nf 4904 439 58\nf 389 1891 834\nf 2036 3082 5052\nf 103 4707 4613\nf 3082 1489 5052\nf 270 363 4545\nf 488 4399 4603\nf 2018 4459 4500\nf 5052 1489 451\nf 2331 488 4492\nf 3273 2036 39\nf 4205 4446 4260\nf 291 4882 4965\nf 4839 65 5088\nf 4839 4740 821\nf 4793 5082 56\nf 270 4545 4882\nf 451 2331 4492\nf 451 1489 2331\nf 3896 1636 2692\nf 110 4956 4700\nf 1489 3081 2331\nf 112 4641 56\nf 4700 5088 4793\nf 39 4844 4956\nf 4684 24 4886\nf 4830 4514 4475\nf 505 3635 4391\nf 4536 287 2490\nf 4389 4384 2490\nf 24 4971 157\nf 4607 75 28\nf 4971 438 4970\nf 4427 5053 502\nf 312 4635 4759\nf 4425 4452 4912\nf 210 2005 4968\nf 40 1152 7\nf 471 3772 40\nf 3178 1321 3123\nf 3698 4791 4811\nf 72 4811 4864\nf 4475 4514 4731\nf 4731 4797 132\nf 118 4715 196\nf 5046 266 4760\nf 5046 7 266\nf 7 254 266\nf 4514 4797 4731\nf 441 4733 4471\nf 4523 4772 196\nf 118 4679 310\nf 4523 4715 171\nf 5053 4474 4733\nf 69 4391 122\nf 4715 118 396\nf 4734 4579 171\nf 4828 310 304\nf 147 4925 304\nf 4820 4627 38\nf 303 4801 170\nf 204 4762 4630\nf 4801 91 4782\nf 4312 170 4781\nf 304 310 4679\nf 171 4579 4523\nf 4471 171 4715\nf 4667 158 2993\nf 4420 515 2913\nf 155 1802 4709\nf 350 4619 4938\nf 303 167 4801\nf 4668 4645 4972\nf 4312 4781 4718\nf 4790 4521 303\nf 4615 147 5081\nf 167 91 4801\nf 4558 2549 4424\nf 5078 178 236\nf 249 244 2808\nf 4744 4783 5078\nf 4744 99 4783\nf 4527 337 4576\nf 23 3202 4813\nf 4872 5139 76\nf 275 4813 3202\nf 4633 224 220\nf 275 237 224\nf 249 117 4783\nf 117 178 4783\nf 4872 565 5139\nf 4783 178 5078\nf 76 244 4440\nf 237 275 4727\nf 178 117 4543\nf 117 249 26\nf 565 2696 5139\nf 4780 4808 4562\nf 4744 23 4851\nf 4777 48 4643\nf 4748 416 61\nf 579 2270 593\nf 2808 244 76\nf 4748 61 159\nf 4400 2318 378\nf 518 4372 447\nf 518 460 433\nf 377 4748 4643\nf 4562 4808 373\nf 5051 4481 129\nf 326 4643 4918\nf 48 4780 4918\nf 2053 4592 4949\nf 5044 371 5084\nf 2054 454 319\nf 4484 4555 4768\nf 4350 4388 4203\nf 4484 4849 4555\nf 5068 4937 4885\nf 85 41 4486\nf 85 46 187\nf 2054 3121 2952\nf 5068 4885 4747\nf 4435 4241 4403\nf 1846 4034 4535\nf 514 4024 4234\nf 179 333 4885\nf 4606 3557 296\nf 4671 4628 4827\nf 175 4606 296\nf 2538 332 188\nf 4853 4528 4871\nf 4723 4559 285\nf 4628 1190 79\nf 4726 4887 4594\nf 214 70 4887\nf 4764 4779 4974\nf 5132 4723 285\nf 150 174 4899\nf 214 4887 150\nf 1640 1866 1852\nf 2762 2943 3063\nf 4973 4831 4919\nf 2841 4466 1745\nf 4829 2677 2721\nf 4541 2532 231\nf 448 401 2730\nf 4767 4525 168\nf 4921 422 4939\nf 208 4672 67\nf 4672 208 4524\nf 4672 4524 4593\nf 297 11 4524\nf 297 4524 165\nf 2350 4165 572\nf 708 4107 4165\nf 223 4567 2763\nf 223 4927 4639\nf 200 4893 213\nf 4541 422 4390\nf 231 4443 336\nf 212 200 213\nf 4883 4812 4878\nf 4654 213 163\nf 164 5163 12\nf 4551 227 4921\nf 198 4681 4441\nf 4712 3214 1702\nf 4812 32 4771\nf 4409 4863 386\nf 1702 153 31\nf 295 386 4547\nf 78 4883 247\nf 198 691 4681\nf 104 349 4560\nf 242 130 397\nf 2338 2442 349\nf 2442 4591 349\nf 4431 96 403\nf 4807 325 5099\nf 4943 197 4854\nf 140 4884 4442\nf 140 4761 4884\nf 4943 4854 4822\nf 4854 302 4822\nf 217 4661 104\nf 876 3980 4387\nf 242 690 191\nf 4806 4689 4850\nf 4743 4806 4724\nf 4805 4967 4835\nf 4817 4977 434\nf 436 5067 354\nf 4795 2243 281\nf 4805 5080 4967\nf 3128 3213 1202\nf 137 4815 375\nf 5080 124 137\nf 92 4888 4124\nf 809 116 425\nf 4714 4265 428\nf 4568 17 527\nf 4815 5205 92\nf 429 88 428\nf 246 1780 4858\nf 4570 4874 294\nf 124 4815 137\nf 1780 620 314\nf 4769 4910 4550\nf 5083 59 233\nf 2807 3028 4669\nf 3028 1585 4669\nf 4769 4903 59\nf 318 1438 4571\nf 5083 201 4916\nf 5083 5077 201\nf 4629 4975 3125\nf 111 189 463\nf 4916 33 4910\nf 4758 180 4905\nf 4728 4636 4686\nf 111 463 479\nf 4755 4693 364\nf 4756 5074 4905\nf 1411 4595 4923\nf 4564 255 4755\nf 5210 4952 192\nf 5026 4540 3449\nf 42 71 3125\nf 5207 4728 4629\nf 3173 2837 1420\nf 14 5087 4923\nf 3125 5207 4629\nf 5161 172 606\nf 219 9 4735\nf 596 2566 4614\nf 216 4701 4648\nf 4914 9 4890\nf 4648 4742 215\nf 4601 4742 4648\nf 4601 4539 45\nf 229 352 4544\nf 219 596 9\nf 4816 5027 4814\nf 4614 2566 5069\nf 2740 271 4459\nf 4904 4580 1728\nf 4313 5106 4311\nf 4698 5002 2508\nf 4699 4647 3487\nf 5002 1490 156\nf 1299 2605 2569\nf 2111 4665 5334\nf 394 156 2526\nf 4608 52 1173\nf 123 4659 209\nf 218 4660 5065\nf 4608 1173 4658\nf 103 4613 2\nf 270 291 361\nf 2974 4473 358\nf 218 4613 4660\nf 209 439 126\nf 123 4966 5079\nf 4911 451 4492\nf 4911 4492 4935\nf 126 4658 4738\nf 4793 5088 65\nf 218 4659 5079\nf 4700 4956 361\nf 3896 1105 173\nf 5088 4700 139\nf 5082 43 112\nf 287 4687 2987\nf 65 5082 4793\nf 4731 4809 4475\nf 7 313 254\nf 4912 399 4425\nf 4620 3 262\nf 4969 1321 20\nf 4865 4891 4864\nf 3635 505 3514\nf 25 2258 4649\nf 4922 3695 3772\nf 110 4793 56\nf 496 2330 4687\nf 471 40 5046\nf 3698 4978 3896\nf 4452 474 4453\nf 4619 564 4374\nf 3514 4751 4472\nf 1189 254 4751\nf 4809 262 69\nf 4425 4514 4830\nf 4475 4809 4474\nf 1849 4760 266\nf 3635 356 199\nf 4667 4930 4773\nf 310 4828 309\nf 4667 2993 4930\nf 4702 34 4710\nf 34 204 4710\nf 4710 91 95\nf 350 4925 4924\nf 4615 5081 4820\nf 196 4715 4523\nf 5081 4521 4790\nf 4615 4925 147\nf 4312 4718 4668\nf 4420 4619 4374\nf 4762 4788 4633\nf 4420 2913 4619\nf 4670 4710 204\nf 4790 4820 5081\nf 4702 3463 34\nf 337 884 4576\nf 1596 3141 95\nf 4702 4710 95\nf 167 4745 95\nf 4482 4766 4808\nf 149 4718 347\nf 61 378 4440\nf 3202 4727 275\nf 4527 4929 2897\nf 4857 4766 4482\nf 4872 378 2318\nf 4929 469 2897\nf 469 4972 2897\nf 398 468 355\nf 97 275 4633\nf 376 2395 129\nf 326 4918 4746\nf 4777 50 48\nf 4481 5051 4849\nf 5044 2053 4949\nf 4918 4643 48\nf 4898 2381 5090\nf 377 4643 326\nf 4486 2345 184\nf 187 4484 55\nf 85 4486 184\nf 41 55 84\nf 129 1287 376\nf 1846 5129 698\nf 514 4091 4024\nf 4747 4486 41\nf 179 4949 333\nf 4900 5044 4949\nf 279 188 4870\nf 4804 4867 5059\nf 296 4880 138\nf 385 179 4885\nf 4538 4937 182\nf 4880 3557 4974\nf 2348 2383 2384\nf 221 3380 79\nf 4528 181 4717\nf 4528 4717 4871\nf 4717 175 138\nf 4697 5068 84\nf 4593 70 4672\nf 4798 5132 4845\nf 4628 2384 1190\nf 2726 2729 322\nf 3135 4628 4671\nf 11 2918 462\nf 1578 2348 390\nf 1936 2464 3156\nf 94 70 214\nf 94 214 4763\nf 2464 1949 2500\nf 4973 4919 4561\nf 3983 4584 4940\nf 4775 68 2836\nf 2592 445 455\nf 231 230 280\nf 4721 4573 4893\nf 164 12 4939\nf 4921 876 422\nf 1687 448 2048\nf 238 4577 93\nf 2734 1029 1359\nf 4672 70 94\nf 4632 4825 382\nf 67 94 4819\nf 208 165 4524\nf 208 77 165\nf 3961 4940 4598\nf 4927 297 4639\nf 2350 4035 322\nf 4927 2918 297\nf 4810 1306 1601\nf 212 125 1878\nf 231 2532 4443\nf 77 3069 168\nf 169 125 212\nf 78 400 4650\nf 247 4681 400\nf 4650 4859 78\nf 4921 12 4551\nf 247 4688 4681\nf 4654 53 169\nf 4771 1632 5061\nf 295 4771 4770\nf 5061 317 4770\nf 1918 5001 4719\nf 4712 1702 31\nf 3214 2388 1495\nf 4610 4441 4547\nf 2388 4719 3205\nf 1524 4778 154\nf 4689 128 4612\nf 3205 3026 1943\nf 63 104 4560\nf 4944 5099 277\nf 4944 4807 5099\nf 2038 4616 2365\nf 30 4943 4774\nf 4511 349 104\nf 4537 324 2798\nf 4597 47 324\nf 3208 4560 197\nf 191 690 4494\nf 307 4612 128\nf 302 130 4553\nf 4944 397 4807\nf 4944 242 397\nf 4553 242 191\nf 308 193 134\nf 674 639 5176\nf 4884 128 4750\nf 4915 140 4442\nf 4479 154 4778\nf 4479 4516 154\nf 2337 3879 4392\nf 4805 4835 4850\nf 4516 193 154\nf 92 4124 183\nf 383 3128 1202\nf 4803 4529 387\nf 327 109 4908\nf 4265 425 428\nf 4916 4910 5083\nf 233 5077 5083\nf 5207 4920 4637\nf 4794 4669 298\nf 3125 4920 5207\nf 4629 4711 4609\nf 111 4784 189\nf 4874 4769 4550\nf 5077 4506 201\nf 4629 4728 4711\nf 256 3183 620\nf 3125 71 4920\nf 4950 560 412\nf 364 4532 226\nf 245 4758 5074\nf 106 5210 192\nf 321 4755 364\nf 121 33 4609\nf 4711 121 4609\nf 4254 257 1464\nf 257 195 1464\nf 606 172 195\nf 4799 5071 216\nf 4730 102 5071\nf 215 4799 216\nf 4890 4690 4539\nf 4690 4657 4752\nf 4961 219 4735\nf 596 4963 4796\nf 359 4742 45\nf 5069 3070 4483\nf 2026 1198 449\nf 4549 1764 1711\nf 3441 3369 1334\nf 5002 4698 615\nf 146 1490 615\nf 2198 52 4814\nf 4843 419 4470\nf 4843 5027 4816\nf 5079 4152 2\nf 270 4844 363\nf 4421 4580 2745\nf 1933 3223 4580\nf 15 821 4740\nf 2036 5052 39\nf 142 291 4965\nf 2886 3429 268\nf 4844 270 361\nf 15 142 4965\nf 25 3273 2258\nf 110 2258 4956\nf 4839 4978 65\nf 4811 43 4\nf 4978 4 65\nf 5088 4740 4839\nf 821 4695 4839\nf 834 1891 306\nf 4649 2258 110\nf 269 5008 4588\nf 269 2886 268\nf 105 5060 4800\nf 313 4533 254\nf 413 4426 4386\nf 4426 2490 4386\nf 5093 4641 28\nf 4620 262 4731\nf 4635 312 234\nf 80 4649 56\nf 471 27 4800\nf 413 20 3178\nf 3123 2366 3178\nf 4716 2009 2300\nf 4649 110 56\nf 4533 2300 4751\nf 505 1189 3514\nf 4533 4716 2300\nf 3696 2608 472\nf 1907 1950 1390\nf 4472 356 3514\nf 356 4674 199\nf 356 3635 3514\nf 4809 4731 262\nf 2704 4886 4478\nf 147 304 4917\nf 3 505 4391\nf 3 1189 505\nf 4579 122 160\nf 4679 4926 4917\nf 4772 152 5\nf 4828 4925 350\nf 350 4938 4828\nf 330 4328 136\nf 3463 274 272\nf 4732 303 170\nf 3463 4702 3462\nf 152 5064 5\nf 4703 155 4999\nf 4749 4837 203\nf 1802 4439 4709\nf 171 4733 4734\nf 196 5 148\nf 4749 203 4773\nf 272 4583 4868\nf 4627 4820 4790\nf 4627 4832 4464\nf 4868 4583 4979\nf 4790 4732 4627\nf 4732 4832 4627\nf 4861 97 4788\nf 4482 4780 48\nf 4931 4857 50\nf 91 167 95\nf 2707 4857 288\nf 237 236 273\nf 373 1287 129\nf 2345 2053 5211\nf 220 149 347\nf 220 4630 4762\nf 149 224 273\nf 4788 252 4862\nf 2395 4526 2389\nf 4481 373 129\nf 1644 2524 4836\nf 4481 46 4562\nf 1662 2468 1904\nf 2345 4486 4592\nf 4834 4440 244\nf 5062 4931 50\nf 4643 4748 4777\nf 4780 4482 4808\nf 2358 4487 1287\nf 1904 4493 4487\nf 55 41 187\nf 84 55 4821\nf 187 41 85\nf 2395 376 4526\nf 390 3135 5133\nf 182 4937 5068\nf 1846 698 4345\nf 4897 182 4697\nf 5059 3039 5133\nf 84 4747 41\nf 4853 332 4412\nf 4804 181 4897\nf 4804 5059 175\nf 54 44 4768\nf 221 339 2390\nf 4429 4460 4463\nf 4899 4798 4763\nf 332 57 188\nf 4412 332 2538\nf 4717 181 4804\nf 4827 4789 174\nf 339 1968 2006\nf 339 1190 338\nf 4723 2411 4559\nf 4845 4722 4819\nf 4722 2500 1949\nf 2516 1947 1841\nf 4541 231 280\nf 4923 1825 14\nf 4831 4767 4919\nf 3204 202 4525\nf 77 4632 3069\nf 4825 208 67\nf 4561 4919 93\nf 67 382 4825\nf 4672 94 67\nf 4410 243 2977\nf 4939 280 164\nf 4285 2776 1623\nf 4893 4410 5063\nf 5019 5061 4997\nf 163 213 5063\nf 5163 164 2721\nf 4688 4441 4681\nf 247 4883 4878\nf 53 83 169\nf 5061 1632 4997\nf 53 4883 83\nf 4441 4644 4712\nf 4719 4996 1918\nf 4364 5063 251\nf 317 5019 5131\nf 5019 1880 5131\nf 4441 4712 198\nf 2559 5073 1595\nf 4863 82 386\nf 379 2453 4575\nf 2958 575 5154\nf 379 5131 4737\nf 276 4494 414\nf 276 691 5092\nf 4624 4996 4596\nf 4624 2453 4996\nf 4866 308 134\nf 2038 3050 4616\nf 2038 391 4622\nf 2388 3214 4596\nf 4689 4805 4850\nf 5092 426 191\nf 3880 3799 3352\nf 2413 325 4431\nf 4480 1702 1495\nf 248 153 4480\nf 248 193 153\nf 193 248 154\nf 4915 177 140\nf 307 2901 305\nf 1834 3139 492\nf 239 1716 432\nf 4803 387 407\nf 2433 241 2807\nf 4589 2243 4795\nf 425 424 428\nf 1384 1327 4990\nf 1384 1440 3186\nf 92 5205 4888\nf 4908 233 4586\nf 314 5161 4889\nf 4910 4769 5083\nf 59 5083 4769\nf 4506 4652 201\nf 2807 4669 4794\nf 4621 4705 4394\nf 1585 3132 380\nf 257 4254 4952\nf 89 4916 135\nf 3113 4600 4254\nf 33 4916 89\nf 33 89 246\nf 4609 246 4975\nf 1984 500 5050\nf 4728 5207 4636\nf 135 4916 201\nf 3113 2749 4600\nf 360 4254 4600\nf 4756 71 5074\nf 1780 127 620\nf 106 192 180\nf 4686 284 4728\nf 42 4889 245\nf 5210 257 4952\nf 5210 606 257\nf 606 195 257\nf 4254 1464 3113\nf 172 3183 195\nf 42 4858 4889\nf 9 4914 4735\nf 215 4846 4595\nf 4952 4254 4947\nf 4952 4947 145\nf 620 127 256\nf 4799 145 5071\nf 368 1556 4626\nf 4914 4648 4701\nf 5057 4556 2328\nf 4041 2198 4683\nf 2891 3441 1334\nf 4701 4735 4914\nf 4549 1538 3297\nf 4698 1174 4041\nf 4843 36 419\nf 4448 504 533\nf 4216 1621 3487\nf 3487 4647 4738\nf 5079 4613 218\nf 209 4738 123\nf 5027 4544 4814\nf 5079 2 4613\nf 4473 2111 3351\nf 4843 4816 186\nf 2329 1555 3061\nf 1560 5070 1622\nf 4469 4490 3223\nf 126 4608 4658\nf 2886 389 358\nf 427 2504 2790\nf 1891 389 2886\nf 123 4647 4966\nf 1636 2608 3696\nf 427 393 2504\nf 1105 4978 4839\nf 821 836 834\nf 1105 4839 4695\nf 4978 1105 3896\nf 43 72 112\nf 72 234 112\nf 43 5082 4\nf 75 4841 4384\nf 472 2790 2861\nf 4641 112 234\nf 3695 4517 3772\nf 2522 40 3772\nf 4517 3695 3696\nf 4517 3696 472\nf 4968 4969 437\nf 4517 2521 2522\nf 413 4970 20\nf 2521 1950 1907\nf 2521 2861 1950\nf 166 27 471\nf 4886 105 4478\nf 2521 4517 472\nf 2818 2820 4663\nf 262 4391 69\nf 4579 69 122\nf 4427 4425 4830\nf 441 4471 4512\nf 657 2727 4449\nf 1989 1802 155\nf 4217 4694 3074\nf 5022 2727 331\nf 286 4749 4930\nf 2668 4437 136\nf 4702 3141 3462\nf 1596 4694 4217\nf 4694 2993 3074\nf 2669 330 136\nf 4781 4801 4782\nf 2956 6120 87\nf 5 261 148\nf 4926 4679 148\nf 4679 4917 304\nf 4328 330 374\nf 4217 334 415\nf 334 1806 415\nf 4999 4708 501\nf 2668 274 3462\nf 4788 4862 4861\nf 3194 1704 2750\nf 4862 252 4979\nf 272 4868 34\nf 3463 272 34\nf 329 151 1142\nf 4487 4526 376\nf 4861 288 97\nf 4526 1986 2389\nf 220 4762 4633\nf 4766 3353 4808\nf 4861 1142 4847\nf 5045 3973 4768\nf 423 2395 1644\nf 48 50 4482\nf 4531 1932 2358\nf 4531 144 4847\nf 4487 1932 1904\nf 2381 5089 4335\nf 4808 3353 373\nf 5090 377 4898\nf 5090 416 377\nf 2468 2527 3025\nf 4493 1904 3025\nf 4493 4526 4487\nf 5045 1644 4836\nf 4836 2197 3973\nf 5045 4836 3973\nf 2707 144 4766\nf 4768 3973 3905\nf 4522 2394 632\nf 4640 4435 1493\nf 4821 54 4792\nf 3025 4754 4493\nf 4754 4653 1986\nf 4555 5045 4768\nf 4821 44 54\nf 4974 4779 4880\nf 3905 632 384\nf 84 4821 4697\nf 129 423 5051\nf 44 55 4484\nf 5059 4867 119\nf 84 5068 4747\nf 1993 2424 101\nf 1831 4105 4422\nf 2298 384 2394\nf 1771 1593 1968\nf 2006 1968 4578\nf 2538 4496 4412\nf 174 4928 4827\nf 4899 214 150\nf 5133 1578 390\nf 4897 181 4852\nf 4853 5118 8\nf 138 57 4871\nf 1771 1968 338\nf 79 4827 4628\nf 194 2464 4678\nf 2464 1936 4678\nf 4763 4798 4845\nf 114 5132 4798\nf 4845 4819 4763\nf 4763 214 4899\nf 114 4980 5132\nf 194 243 2970\nf 285 2500 4722\nf 114 4899 4789\nf 4831 4973 4901\nf 4410 251 5063\nf 77 208 4825\nf 2970 243 4573\nf 2970 4573 4577\nf 1799 2752 2529\nf 4632 3450 238\nf 67 1330 382\nf 67 4819 1330\nf 114 4798 4899\nf 93 4632 238\nf 4939 4541 280\nf 5063 213 4893\nf 163 32 4654\nf 4410 2977 251\nf 317 4575 4409\nf 4997 340 5019\nf 4364 4997 1632\nf 4770 4409 295\nf 4770 4771 5061\nf 295 4547 4878\nf 4654 169 212\nf 4364 4736 4997\nf 381 2929 4680\nf 341 1918 1919\nf 379 4680 1919\nf 1676 2929 381\nf 1676 1406 2929\nf 4572 3205 1943\nf 1495 3205 4572\nf 4719 3026 3205\nf 2453 1919 4996\nf 4688 4878 4547\nf 400 78 247\nf 4778 1524 4666\nf 391 3026 2939\nf 1524 248 250\nf 426 1353 4866\nf 4689 4817 4805\nf 154 248 1524\nf 250 4666 1524\nf 250 293 4666\nf 4689 4612 4817\nf 1702 3214 1495\nf 4644 4610 4596\nf 4480 1495 4572\nf 307 4761 2901\nf 177 4761 140\nf 4516 134 193\nf 4438 3128 383\nf 1202 4407 2976\nf 177 4604 4761\nf 4646 4778 4666\nf 4646 4510 305\nf 4646 2071 4510\nf 2071 2365 4616\nf 177 4617 4604\nf 2007 239 116\nf 2071 4616 1701\nf 4705 4506 470\nf 116 239 432\nf 1327 4691 1326\nf 4913 4706 109\nf 4513 2817 395\nf 4513 240 2817\nf 4513 2007 240\nf 4394 2989 4794\nf 4753 183 107\nf 4568 387 4529\nf 1585 380 1782\nf 4706 4913 4058\nf 2989 2433 4794\nf 124 561 809\nf 109 4855 4908\nf 425 432 424\nf 3104 762 4404\nf 2597 1790 2596\nf 183 4124 4913\nf 4122 2433 4058\nf 2597 4408 1790\nf 4621 258 4705\nf 4913 4124 4058\nf 183 4913 327\nf 4858 4975 246\nf 2676 3174 500\nf 2638 2676 2444\nf 1984 2676 500\nf 1984 4704 2444\nf 245 5074 42\nf 3131 2978 4626\nf 5057 3096 4554\nf 4735 4701 102\nf 4947 360 4730\nf 4961 102 2708\nf 2259 1556 1985\nf 146 615 5189\nf 4539 4752 45\nf 216 102 4701\nf 4961 4735 102\nf 1560 5209 554\nf 1871 4554 4677\nf 4041 615 4698\nf 4483 1490 2505\nf 2508 2329 1621\nf 1871 4677 2259\nf 1621 5070 4699\nf 3130 1555 2329\nf 2885 4552 1502\nf 554 4325 1560\nf 358 3351 3429\nf 962 1942 1820\nf 156 394 3130\nf 1239 3429 3351\nf 1560 4699 5070\nf 4325 4966 4647\nf 351 1560 1622\nf 363 4844 4935\nf 5209 351 1502\nf 306 173 4695\nf 2111 4473 1502\nf 2742 2527 1557\nf 4965 4988 15\nf 4965 133 4988\nf 290 4707 103\nf 836 4988 388\nf 388 1506 2974\nf 139 4740 5088\nf 4811 4791 4865\nf 3209 141 393\nf 1152 4495 313\nf 4607 312 157\nf 105 4886 24\nf 1189 3 1849\nf 4791 3695 4922\nf 2692 1636 3696\nf 2692 3698 3896\nf 1152 313 7\nf 141 3925 393\nf 2692 4791 3698\nf 3695 2692 3696\nf 3695 4791 2692\nf 4716 4557 2009\nf 4495 1788 313\nf 2636 264 2786\nf 2637 4197 120\nf 1712 4557 430\nf 4471 396 4512\nf 4391 3635 122\nf 396 118 310\nf 3 4391 262\nf 166 471 5046\nf 1189 4751 3514\nf 4523 160 4772\nf 4474 4830 4475\nf 4674 98 1191\nf 1191 4673 199\nf 3384 2727 5022\nf 4530 4449 4582\nf 185 1802 1989\nf 185 206 1802\nf 148 4679 118\nf 1802 206 4439\nf 203 4837 5081\nf 4930 2993 4694\nf 3388 3384 5022\nf 264 2637 120\nf 203 147 4917\nf 2972 4708 467\nf 3017 4675 4725\nf 2993 656 3074\nf 2993 158 656\nf 95 3141 4702\nf 2669 2564 2840\nf 3141 4217 415\nf 415 1806 2668\nf 152 3388 5022\nf 5 196 4772\nf 148 118 196\nf 136 4328 274\nf 1596 4217 3141\nf 5064 5022 331\nf 5064 152 5022\nf 4765 2673 2840\nf 274 3463 3462\nf 4583 272 4328\nf 252 4788 4762\nf 1441 2673 2767\nf 4477 1557 1558\nf 4868 4979 252\nf 2357 328 329\nf 2357 2072 4725\nf 204 4868 252\nf 1986 2746 2389\nf 329 1142 4862\nf 4675 328 2357\nf 4670 91 4710\nf 4766 4857 2707\nf 50 4777 5062\nf 1986 4653 2746\nf 159 4851 5062\nf 4519 4867 4792\nf 1993 1872 2424\nf 4867 4519 119\nf 4792 4867 4897\nf 632 3905 3973\nf 4606 175 5059\nf 138 4871 4717\nf 1578 5114 101\nf 4827 79 4789\nf 2390 2551 4980\nf 2390 339 2006\nf 2383 5152 1771\nf 338 1968 339\nf 4105 5129 4422\nf 339 221 1190\nf 101 2348 1578\nf 2384 4628 390\nf 4578 1593 1666\nf 1771 5152 525\nf 4593 4594 4887\nf 4980 3380 2390\nf 5152 2424 1872\nf 77 4825 4632\nf 1330 1949 3450\nf 382 3450 4632\nf 3450 2970 238\nf 1949 2464 194\nf 2464 2500 3156\nf 1909 292 4559\nf 163 1632 32\nf 4678 243 194\nf 4678 1936 2977\nf 1470 4736 190\nf 295 4878 4812\nf 381 4680 4737\nf 1675 1706 3127\nf 4719 2388 4996\nf 3138 878 3515\nf 381 1675 1676\nf 5001 1918 4995\nf 4575 317 5131\nf 1661 1193 818\nf 134 4516 4822\nf 2388 4596 4996\nf 31 153 308\nf 4996 1919 1918\nf 4863 4624 82\nf 31 198 4712\nf 4409 386 295\nf 4575 2453 4863\nf 2892 2724 1527\nf 4479 4604 4774\nf 4479 4778 2901\nf 4612 4977 4817\nf 4516 4479 4774\nf 1791 4040 4179\nf 3442 1266 4407\nf 3058 1193 1266\nf 307 305 4612\nf 2433 2989 4058\nf 4691 228 1326\nf 4565 2638 2528\nf 3028 4631 3132\nf 780 3902 930\nf 1780 246 89\nf 265 499 3108\nf 135 201 4652\nf 620 172 314\nf 1556 1538 1985\nf 4652 4704 135\nf 4190 4976 543\nf 4976 4190 2749\nf 127 89 135\nf 127 1780 89\nf 1800 3174 2676\nf 5050 4566 3183\nf 2749 3113 4554\nf 5057 4554 3113\nf 4799 4682 145\nf 314 4858 1780\nf 1985 2657 4976\nf 4677 4626 2259\nf 1764 1653 4501\nf 2657 2561 543\nf 1770 1267 1555\nf 1513 2526 2665\nf 2508 5002 3130\nf 554 5209 4552\nf 5209 1502 4552\nf 4152 554 4552\nf 4152 4552 222\nf 1506 2885 2974\nf 4325 554 4966\nf 1506 222 2885\nf 363 4955 4545\nf 133 290 103\nf 358 389 2974\nf 4955 4662 4545\nf 4320 5023 5334\nf 4588 306 269\nf 4716 1788 430\nf 254 1189 266\nf 392 2818 4663\nf 3209 5008 2170\nf 392 430 1788\nf 1390 2818 392\nf 1160 3429 1239\nf 4791 4922 4865\nf 4881 51 2704\nf 4663 1712 430\nf 289 311 4546\nf 4800 4891 471\nf 4197 2972 467\nf 4800 4478 105\nf 2300 4472 4751\nf 4800 27 4478\nf 4197 4362 1387\nf 343 2786 342\nf 2009 2636 2786\nf 2009 4557 2636\nf 3384 1989 2727\nf 4674 342 98\nf 4674 356 342\nf 342 2024 98\nf 656 331 657\nf 656 158 331\nf 4674 1191 199\nf 4801 4781 170\nf 4782 347 4781\nf 347 4630 220\nf 286 4694 1596\nf 347 4782 4630\nf 3017 1558 2527\nf 2767 5000 372\nf 4583 2072 320\nf 374 2650 4725\nf 1442 588 3034\nf 4667 4926 261\nf 372 2650 1441\nf 1385 4477 1558\nf 274 4328 272\nf 151 1932 4531\nf 4979 329 4862\nf 4675 2357 4725\nf 1142 4861 4862\nf 4675 3017 2527\nf 1932 151 1662\nf 4493 1986 4526\nf 323 5058 4522\nf 288 4861 4847\nf 3905 384 4519\nf 3905 4519 54\nf 4562 235 4780\nf 235 4918 4780\nf 5040 1383 4241\nf 2742 3025 2527\nf 4847 144 2707\nf 2298 5114 3039\nf 3557 4606 3135\nf 2394 5058 5114\nf 4538 182 4852\nf 3554 5028 3552\nf 5114 1578 3039\nf 2383 1771 338\nf 1888 2411 4723\nf 5058 2579 1993\nf 1888 2436 2411\nf 517 4151 5056\nf 79 1190 221\nf 2411 4982 2991\nf 4485 562 3111\nf 4899 174 4789\nf 3512 405 1665\nf 2977 243 4678\nf 4980 4723 5132\nf 4282 4218 3058\nf 3156 4559 292\nf 3380 221 2390\nf 1949 1330 4722\nf 1330 3450 382\nf 190 4736 4364\nf 1470 1561 4736\nf 4572 250 4480\nf 3026 5001 2939\nf 1919 4680 341\nf 153 1702 4480\nf 4547 386 4610\nf 2365 2071 4666\nf 386 82 4610\nf 1701 5067 436\nf 1701 4438 5067\nf 3026 4719 5001\nf 1661 3227 1193\nf 2817 232 395\nf 92 183 4753\nf 428 88 4714\nf 232 2889 3371\nf 561 2007 116\nf 424 429 428\nf 241 2433 4122\nf 4124 4888 4122\nf 88 2819 241\nf 4122 4058 4124\nf 429 424 466\nf 470 4506 5077\nf 4706 4855 109\nf 470 2989 4394\nf 1779 1585 1782\nf 298 4669 1779\nf 2528 4720 2596\nf 3027 1230 4112\nf 3028 3132 1585\nf 3104 1230 762\nf 5066 2660 3511\nf 1790 4408 5021\nf 4112 1230 3104\nf 762 1108 4404\nf 465 4112 3104\nf 172 5161 314\nf 1328 3297 1538\nf 4858 42 4975\nf 606 5210 106\nf 4711 284 4784\nf 5050 5075 4566\nf 4609 33 246\nf 5071 4947 4730\nf 5071 145 4947\nf 314 4889 4858\nf 620 3183 172\nf 2259 1985 1871\nf 1711 4501 3070\nf 1406 2680 4069\nf 195 3183 4556\nf 4554 3096 4677\nf 1538 1556 1328\nf 1871 1985 4976\nf 1556 368 1328\nf 4961 543 219\nf 4614 2505 146\nf 5069 2561 4983\nf 4216 3487 4658\nf 4458 156 1490\nf 1490 5002 615\nf 4483 3070 2891\nf 4321 4271 3754\nf 4190 2708 4600\nf 4041 1174 2198\nf 2885 4473 2974\nf 4966 4152 5079\nf 4110 631 1186\nf 4086 222 1506\nf 4271 5028 3554\nf 351 5054 4665\nf 306 4588 173\nf 4473 3351 358\nf 982 1739 689\nf 472 2608 2790\nf 1239 5023 748\nf 139 291 142\nf 43 4811 72\nf 2504 3926 3624\nf 2504 393 1398\nf 4716 4533 1788\nf 4362 4197 2637\nf 2790 3624 2861\nf 1390 392 4495\nf 3772 471 4922\nf 4546 311 51\nf 1849 266 1189\nf 75 5093 28\nf 4362 4994 1387\nf 1152 2522 1907\nf 2988 4994 4362\nf 343 2009 2786\nf 180 5087 4905\nf 652 1739 1349\nf 264 2024 2786\nf 264 206 2024\nf 3161 1726 4070\nf 206 120 4439\nf 2673 4765 2767\nf 5064 331 158\nf 331 2727 657\nf 264 2636 2637\nf 2636 2890 2637\nf 2636 4557 2890\nf 2972 3137 4708\nf 4449 2727 1989\nf 3137 501 4708\nf 4709 4999 155\nf 1442 3386 4477\nf 4709 4708 4999\nf 3386 435 1557\nf 1441 330 2673\nf 374 4725 2072\nf 1385 1558 3017\nf 374 2072 4328\nf 1142 151 4531\nf 4487 376 1287\nf 1762 2742 1557\nf 3057 2689 1188\nf 3025 2742 4754\nf 3455 3386 2855\nf 384 2298 119\nf 2389 2524 1644\nf 4653 2990 4241\nf 2742 1762 4754\nf 4642 3469 1872\nf 1349 549 652\nf 4640 2197 4836\nf 4555 4849 5051\nf 2197 4640 1906\nf 5133 3135 4606\nf 3039 119 2298\nf 5058 323 2579\nf 632 2197 4522\nf 175 4717 4804\nf 296 3557 4880\nf 1593 525 1726\nf 2348 101 2424\nf 3111 2436 4485\nf 2551 1888 4980\nf 5133 3039 1578\nf 3111 4982 2436\nf 4578 562 4485\nf 5056 4151 4134\nf 3111 562 4503\nf 4457 1561 1470\nf 3512 4414 405\nf 1936 4366 2418\nf 4845 5132 285\nf 405 4414 4366\nf 5019 317 5061\nf 317 4409 4770\nf 1470 4414 4457\nf 4638 2939 408\nf 190 4364 251\nf 3344 878 3138\nf 190 2418 1470\nf 5163 2721 2677\nf 4575 5131 379\nf 4624 4863 2453\nf 2680 1676 3127\nf 341 4995 1918\nf 293 2038 2365\nf 2997 3548 1785\nf 1943 3026 391\nf 2939 5001 408\nf 308 4866 1353\nf 4409 4575 4863\nf 3214 4644 4596\nf 561 116 809\nf 3050 3128 4438\nf 4622 3050 2038\nf 1834 1835 4622\nf 4347 3213 1835\nf 4616 3050 4438\nf 1266 1193 3227\nf 561 5080 434\nf 1326 1150 722\nf 561 354 2007\nf 1060 2159 2772\nf 4691 3220 232\nf 2817 2976 2889\nf 240 2007 354\nf 2817 240 2976\nf 2787 722 3423\nf 1716 3186 432\nf 4794 2433 2807\nf 4855 233 4908\nf 466 1440 4365\nf 466 3186 1440\nf 4365 4631 466\nf 4855 470 5077\nf 1838 4408 2597\nf 4631 2819 429\nf 4631 3028 2819\nf 466 424 3186\nf 1384 3186 1716\nf 298 4394 4794\nf 4720 2528 258\nf 1230 3575 762\nf 1790 5021 2537\nf 4565 2676 2638\nf 465 1790 2537\nf 258 2638 5076\nf 3108 3717 265\nf 2944 5021 2660\nf 3108 3716 3717\nf 2944 1294 4112\nf 4309 499 4565\nf 3717 1107 1853\nf 4652 2444 4704\nf 2638 2444 5076\nf 1800 2676 4565\nf 4406 5021 4408\nf 4025 207 3717\nf 543 4961 4190\nf 1158 4025 1499\nf 4677 3096 3131\nf 4975 42 3125\nf 4975 4629 4609\nf 3183 4566 4556\nf 543 2566 219\nf 2328 4556 4566\nf 3296 2859 2519\nf 219 2566 596\nf 1352 3455 2159\nf 1711 3070 5069\nf 5069 2566 2561\nf 1490 146 2505\nf 394 3222 1770\nf 622 1069 2386\nf 5189 615 4041\nf 4964 1174 4698\nf 3487 1621 4699\nf 3373 622 4116\nf 52 1174 1173\nf 631 1267 1186\nf 2861 2203 1950\nf 1389 1418 748\nf 1560 351 5209\nf 821 15 836\nf 268 3429 1160\nf 1636 4588 357\nf 3624 2203 2861\nf 4533 313 1788\nf 343 342 356\nf 1592 1398 1952\nf 4290 2491 3784\nf 120 467 4439\nf 4214 4285 1387\nf 970 1515 4984\nf 3555 1513 3056\nf 2009 343 2300\nf 4703 501 2840\nf 4437 2669 136\nf 5064 261 5\nf 3388 4772 4673\nf 4530 656 657\nf 5064 158 261\nf 4667 4773 4926\nf 4773 4930 4749\nf 320 329 4979\nf 320 2357 329\nf 320 2072 2357\nf 1986 4493 4754\nf 435 1762 1557\nf 1441 2767 372\nf 558 3369 1536\nf 1762 2990 4754\nf 4477 3386 1557\nf 2358 144 4531\nf 4754 2990 4653\nf 3553 575 2958\nf 328 151 329\nf 1928 2850 2653\nf 328 2468 1662\nf 4675 2527 2468\nf 4998 5040 2990\nf 1382 2871 2624\nf 4069 4191 1406\nf 712 3784 1592\nf 1383 4403 4241\nf 3905 54 4768\nf 1121 4403 3457\nf 5059 5133 4606\nf 2524 4640 4836\nf 3469 4642 3468\nf 1593 4578 1968\nf 1666 562 4578\nf 5152 2383 2424\nf 2551 2390 2006\nf 525 1593 1771\nf 2411 2991 1909\nf 1726 3470 1565\nf 1665 5056 4134\nf 3063 2562 2762\nf 2158 4284 3451\nf 3992 3805 3915\nf 3998 2705 1107\nf 562 1666 367\nf 962 1820 5010\nf 4819 94 4763\nf 4573 243 4410\nf 1561 340 4736\nf 4366 292 405\nf 2977 190 251\nf 5048 3515 409\nf 4138 748 5023\nf 3554 3552 492\nf 163 5063 4364\nf 1632 163 4364\nf 878 3344 3267\nf 1569 4280 3904\nf 1523 2872 1120\nf 1763 1682 4994\nf 694 1293 2591\nf 4995 341 1523\nf 4151 4142 3622\nf 4995 1523 1120\nf 4859 362 278\nf 4859 125 169\nf 4070 4993 3161\nf 134 4822 302\nf 1835 3128 3050\nf 193 308 153\nf 1388 4347 1834\nf 2038 293 1943\nf 4622 3139 1834\nf 3139 391 2939\nf 3139 4622 391\nf 293 4572 1943\nf 4347 3301 1444\nf 293 250 4572\nf 1382 3058 3442\nf 5205 4815 124\nf 354 561 434\nf 1382 3301 2871\nf 1444 3301 1382\nf 3127 1706 4339\nf 47 4597 205\nf 1701 4616 4438\nf 4785 4617 177\nf 4646 4666 2071\nf 1202 3213 1444\nf 3371 1492 228\nf 558 589 3369\nf 3127 5130 2680\nf 3220 395 232\nf 4280 3013 3827\nf 1716 3220 1384\nf 1716 395 3220\nf 1716 239 395\nf 3136 3443 3461\nf 3132 4365 1386\nf 4990 1440 1384\nf 2989 4706 4058\nf 380 5020 1782\nf 2989 470 4706\nf 465 2769 2596\nf 3827 2860 3443\nf 2940 3456 5154\nf 1838 4720 4621\nf 1782 5020 2536\nf 2537 5021 2944\nf 298 4621 4394\nf 2528 4309 4565\nf 258 5076 4705\nf 499 1800 4565\nf 499 265 1800\nf 672 4323 367\nf 4404 4309 2769\nf 431 499 4309\nf 1351 3064 1575\nf 2666 559 4267\nf 4151 1261 4142\nf 4309 4404 431\nf 1501 5075 500\nf 1501 500 3174\nf 499 431 3108\nf 4611 5015 1158\nf 4611 1491 1564\nf 3444 2689 3057\nf 2259 4626 1556\nf 1564 5015 4611\nf 4730 2708 102\nf 4549 1711 4983\nf 3131 1564 1491\nf 3096 2328 1631\nf 368 2859 1328\nf 5073 1732 3012\nf 3297 1268 1764\nf 1985 1714 2657\nf 1714 1985 1538\nf 4963 5189 267\nf 4963 4614 146\nf 156 3130 5002\nf 2505 4614 4483\nf 4983 1714 4549\nf 5189 4041 4683\nf 2329 2508 3130\nf 1569 4110 3013\nf 2981 2425 2944\nf 1418 3350 1160\nf 4695 173 1105\nf 1622 631 5054\nf 268 3623 269\nf 4695 821 834\nf 1636 173 4588\nf 3926 970 3624\nf 1891 2886 269\nf 2425 2981 3221\nf 3542 4984 2818\nf 343 356 4472\nf 2890 4557 1712\nf 4204 4339 1706\nf 1566 3373 1763\nf 1566 4663 2820\nf 4134 3622 4253\nf 1324 4765 501\nf 2818 4984 2820\nf 264 120 206\nf 120 4197 467\nf 4926 148 261\nf 4772 3388 152\nf 98 185 3384\nf 3451 3459 3137\nf 3459 1324 3137\nf 334 4217 3074\nf 4151 3622 4134\nf 95 4745 1596\nf 4745 286 1596\nf 2024 206 185\nf 4745 4837 286\nf 3459 4284 2899\nf 2810 2967 2956\nf 1515 1700 2491\nf 3455 3701 435\nf 2855 3386 1442\nf 3025 1904 2468\nf 1724 1383 5040\nf 1352 3057 3701\nf 3057 1188 3701\nf 5017 2578 323\nf 2746 4640 2524\nf 3461 3443 3222\nf 3824 3267 4692\nf 1194 4991 3457\nf 5017 1121 4991\nf 4991 1121 3457\nf 4555 5051 423\nf 367 4503 562\nf 2384 390 2348\nf 1666 1593 3393\nf 5657 2654 1143\nf 3161 3393 1593\nf 101 5114 1993\nf 338 2384 2383\nf 1872 3469 5152\nf 493 4457 4414\nf 1872 1993 2579\nf 2991 517 5056\nf 4150 3267 3344\nf 1454 607 1589\nf 1739 982 493\nf 2783 982 3344\nf 2783 4457 493\nf 1561 2783 3138\nf 5048 1561 3138\nf 684 3511 2960\nf 1406 1676 2680\nf 293 2365 4666\nf 4691 1327 3220\nf 1444 3213 4347\nf 4785 63 4617\nf 2038 1943 391\nf 2888 1266 3227\nf 4407 1266 2888\nf 2901 4761 4479\nf 4407 2888 2889\nf 2439 2960 4211\nf 930 4267 4153\nf 2958 1492 1661\nf 2976 383 1202\nf 305 4510 4977\nf 930 1386 780\nf 241 4714 88\nf 380 3132 1386\nf 4721 4561 4577\nf 436 434 4977\nf 3511 2536 2960\nf 4705 470 4394\nf 2434 2536 4406\nf 4153 5020 380\nf 466 4631 429\nf 4365 3132 4631\nf 4855 5077 233\nf 367 4323 4503\nf 2960 2536 5020\nf 4993 672 3393\nf 298 1779 1838\nf 3575 1108 762\nf 5016 3716 3108\nf 2596 1790 465\nf 5057 2328 3096\nf 1631 5075 5015\nf 5075 5050 500\nf 5075 1631 4566\nf 2978 3131 1491\nf 1538 4549 1714\nf 1158 207 4025\nf 3297 1764 4549\nf 1631 5015 1564\nf 3056 2665 3369\nf 1631 1564 3096\nf 3297 1328 3296\nf 3096 1564 3131\nf 3113 1464 5057\nf 2749 4554 1871\nf 1871 4976 2749\nf 2846 1268 3296\nf 1565 4070 1726\nf 1268 3297 3296\nf 1464 4556 5057\nf 1764 1268 1653\nf 4501 1711 1764\nf 3461 394 1513\nf 1490 2891 4458\nf 4963 596 4614\nf 1173 4216 4658\nf 1334 3369 2665\nf 4190 4961 2708\nf 1770 3130 394\nf 1569 5047 4110\nf 1334 4458 2891\nf 360 4600 2708\nf 3061 1267 631\nf 1060 4221 1352\nf 1947 1745 4466\nf 4683 4657 267\nf 3061 1555 1267\nf 4683 2198 352\nf 4816 52 4608\nf 388 389 836\nf 358 3429 2886\nf 3551 5023 4320\nf 4665 5047 2709\nf 2408 2614 2428\nf 5054 631 4110\nf 4110 5047 5054\nf 4966 554 4152\nf 472 2861 2521\nf 5047 1569 4262\nf 388 4988 1506\nf 427 357 3209\nf 1661 3553 2958\nf 2916 2850 2875\nf 4988 4086 1506\nf 2974 389 388\nf 1418 1160 748\nf 5008 3209 357\nf 4401 3513 2412\nf 4253 1580 4134\nf 5008 357 4588\nf 5008 269 3623\nf 3925 141 3068\nf 2170 3068 141\nf 2608 357 427\nf 1389 748 3225\nf 1398 1592 3926\nf 1907 2522 2521\nf 2504 3624 2790\nf 1907 1390 4495\nf 3624 970 2203\nf 1849 3 4620\nf 4322 4476 1294\nf 3623 2170 5008\nf 3350 268 1160\nf 1763 2988 1566\nf 306 1891 269\nf 1700 3926 1592\nf 2890 1712 2988\nf 1907 4495 1152\nf 4495 392 1788\nf 3542 2203 970\nf 4362 2890 2988\nf 98 2024 185\nf 688 1351 1589\nf 1712 1566 2988\nf 2940 817 4502\nf 343 4472 2300\nf 98 3384 1191\nf 1950 2203 3542\nf 3137 2972 3451\nf 970 4984 3542\nf 2899 5153 3459\nf 4252 4282 2624\nf 627 5000 2767\nf 4143 3552 3411\nf 1739 652 689\nf 1387 3451 2972\nf 627 4765 1324\nf 2800 2438 2397\nf 4703 4999 501\nf 467 4708 4709\nf 2393 2630 2768\nf 3017 2650 1385\nf 334 3074 4530\nf 1602 5153 2899\nf 4192 2879 2846\nf 4703 2840 2564\nf 2673 330 2669\nf 2978 1491 3574\nf 372 5000 588\nf 4998 2990 1762\nf 1854 5151 2503\nf 1662 1904 1932\nf 1662 151 328\nf 2926 3181 1546\nf 4998 435 3701\nf 4487 2358 1932\nf 323 4522 1906\nf 5045 4555 423\nf 4403 1493 4435\nf 1385 2650 372\nf 1194 1119 4991\nf 1724 5040 1188\nf 2872 4191 4321\nf 1383 3457 4403\nf 2579 4642 1872\nf 1493 1121 5017\nf 4642 2579 2578\nf 1493 4403 1121\nf 4998 1188 5040\nf 1906 5017 323\nf 1906 1493 5017\nf 688 4401 1351\nf 1565 3470 2156\nf 2746 4435 4640\nf 2156 3469 3468\nf 1493 1906 4640\nf 2578 1119 4642\nf 2746 4653 4435\nf 2746 2524 2389\nf 1726 525 3470\nf 5114 5058 1993\nf 1536 464 558\nf 2578 4991 1119\nf 3470 525 5152\nf 2436 1888 2551\nf 1888 4723 4980\nf 517 4982 2936\nf 1666 3393 367\nf 4485 2436 2551\nf 2348 2424 2383\nf 1665 4134 3512\nf 4573 4410 4893\nf 493 982 2783\nf 4366 4414 2418\nf 4150 3344 982\nf 2991 4982 517\nf 1628 381 409\nf 517 2936 1261\nf 3111 2936 4982\nf 5049 878 3824\nf 2783 3344 3138\nf 4737 409 381\nf 1675 5049 1706\nf 1739 493 1349\nf 1919 2453 379\nf 1706 5049 3824\nf 1120 408 4995\nf 1406 1523 2929\nf 2418 4414 1470\nf 3515 5049 1628\nf 878 5049 3515\nf 3134 4142 1261\nf 1675 381 1628\nf 408 5001 4995\nf 78 83 4883\nf 83 4859 169\nf 2929 341 4680\nf 3460 2343 598\nf 492 4638 3554\nf 1388 3552 4143\nf 3373 4116 1763\nf 1565 4304 4070\nf 492 3552 1388\nf 2871 3301 4143\nf 408 1120 3754\nf 1444 1382 3442\nf 2888 1492 3371\nf 492 3139 4638\nf 1388 4143 3301\nf 5154 2823 2958\nf 2976 4407 2889\nf 3456 1150 1326\nf 3456 2940 1150\nf 2889 2888 3371\nf 1202 1444 3442\nf 3227 1661 1492\nf 722 4990 1327\nf 2823 3456 228\nf 2976 240 383\nf 305 4977 4612\nf 4323 1829 1678\nf 3186 424 432\nf 1660 1150 2940\nf 1589 607 688\nf 4513 239 2007\nf 429 2819 88\nf 2787 4348 559\nf 1706 3824 4204\nf 1580 4253 549\nf 930 3902 2666\nf 4720 2597 2596\nf 4669 1585 1779\nf 4621 4720 258\nf 1779 1782 2434\nf 1294 2944 2425\nf 1782 2536 2434\nf 1838 2434 4408\nf 4621 298 1838\nf 2944 4112 2537\nf 1454 1230 3027\nf 2769 4309 2528\nf 2536 3511 4406\nf 2597 4720 1838\nf 4406 3511 2660\nf 2456 4585 1786\nf 2769 2528 2596\nf 207 1501 3174\nf 1575 3575 1589\nf 2555 5330 5791\nf 1108 5016 431\nf 4582 155 4703\nf 5016 1575 3064\nf 5076 4652 4506\nf 4611 1499 2717\nf 2903 2956 2679\nf 3131 4626 4677\nf 256 4704 1984\nf 4218 818 1193\nf 207 1158 1501\nf 5015 1501 1158\nf 5076 2444 4652\nf 4404 2769 3104\nf 1589 3575 1454\nf 3058 4218 1193\nf 5015 5075 1501\nf 1107 3717 3716\nf 553 3744 4150\nf 1580 549 1349\nf 4404 1108 431\nf 3134 2936 4503\nf 2912 1732 2998\nf 1579 5460 5808\nf 4038 658 3599\nf 1744 1397 1097\nf 5460 966 967\nf 3776 5808 1019\nf 3673 3767 1397\nf 5450 2201 5521\nf 3679 1264 3946\nf 1022 5487 2682\nf 1362 1312 5741\nf 1022 3605 5033\nf 5276 5156 1109\nf 5731 1097 1397\nf 1097 3776 1744\nf 2152 5400 1052\nf 1314 5276 3713\nf 3835 3946 1264\nf 2275 922 3679\nf 6109 5906 5501\nf 788 2193 2195\nf 5683 6106 5546\nf 1088 5502 2077\nf 5502 6137 5546\nf 6106 1017 1059\nf 3536 2222 2107\nf 1175 1176 1093\nf 1621 4216 4964\nf 2885 222 4552\nf 3061 1622 5070\nf 569 449 533\nf 2745 1818 4421\nf 1818 2740 4421\nf 1728 4490 419\nf 2561 2657 4983\nf 2657 1714 4983\nf 1174 52 2198\nf 186 439 36\nf 5114 2298 2394\nf 390 4628 3135\nf 4522 5058 2394\nf 4671 3557 3135\nf 44 4821 55\nf 384 119 4519\nf 5134 5418 1099\nf 6112 5645 6102\nf 936 3519 5326\nf 1032 3603 5350\nf 6107 1209 5278\nf 5927 823 3523\nf 2157 3504 823\nf 1237 6059 6135\nf 2066 3155 1426\nf 3736 968 5394\nf 6135 5716 1426\nf 687 6135 3245\nf 3155 6031 1426\nf 1001 3675 3677\nf 5798 2088 2066\nf 4193 3989 4047\nf 5606 3688 3620\nf 4090 2213 745\nf 2360 4962 909\nf 5150 1000 4031\nf 3918 3801 5519\nf 604 692 4962\nf 2294 2295 745\nf 1016 5546 6106\nf 843 2141 840\nf 6128 5428 3560\nf 3641 5509 3668\nf 4447 1356 1357\nf 2267 4042 530\nf 522 2057 2303\nf 641 4224 4242\nf 1587 3337 4095\nf 4042 624 522\nf 3912 2271 4077\nf 3828 697 901\nf 2291 5111 791\nf 4145 4056 801\nf 1043 919 5847\nf 5811 913 6022\nf 954 4279 5622\nf 3796 2202 4279\nf 5465 964 5755\nf 5490 5569 5784\nf 933 2138 5811\nf 933 5779 3418\nf 3785 2127 3808\nf 3866 2380 2091\nf 5652 6090 2108\nf 5815 2284 1584\nf 3175 1363 5699\nf 1210 5735 3576\nf 3521 933 5811\nf 5465 6101 964\nf 4167 2816 4411\nf 2511 4095 5043\nf 1016 6106 1059\nf 5122 4244 5106\nf 1122 1022 2682\nf 658 4038 5238\nf 3775 718 1019\nf 1440 4990 780\nf 492 1388 1834\nf 5048 340 1561\nf 4997 4736 340\nf 3134 1261 2936\nf 2899 4284 608\nf 3034 4261 1442\nf 3221 4322 2425\nf 597 607 1454\nf 4988 133 4086\nf 4705 5076 4506\nf 1388 3301 4347\nf 4321 1120 2872\nf 4449 1989 155\nf 2820 1069 3373\nf 2786 2024 342\nf 222 4086 2\nf 3456 2823 5154\nf 4407 1202 3442\nf 2680 5130 4069\nf 1561 4457 2783\nf 2468 328 4675\nf 3384 3388 1191\nf 4282 3058 2624\nf 4221 3444 3057\nf 4963 267 4796\nf 2599 1732 2912\nf 135 4704 127\nf 2819 2807 241\nf 4513 395 239\nf 232 2817 2889\nf 354 5067 240\nf 4622 1835 3050\nf 4638 3139 2939\nf 4503 2936 3111\nf 632 2394 384\nf 320 4979 4583\nf 4694 286 4930\nf 2890 4362 2637\nf 2704 27 166\nf 4891 4865 4922\nf 2837 3173 1839\nf 4473 2885 1502\nf 4626 2978 368\nf 4112 465 2537\nf 2769 465 3104\nf 425 116 432\nf 128 4689 4806\nf 137 4967 5080\nf 137 375 1\nf 4610 82 4596\nf 3056 3369 589\nf 2977 2418 190\nf 2418 2977 1936\nf 4887 70 4593\nf 632 3973 2197\nf 2197 1906 4522\nf 2072 4583 4328\nf 4437 2668 1806\nf 415 2668 3462\nf 1566 1712 4663\nf 4695 834 306\nf 4660 4707 4662\nf 1622 5054 351\nf 367 3393 672\nf 5050 3183 256\nf 265 3717 207\nf 2676 1984 2444\nf 383 240 5067\nf 198 31 1353\nf 4479 4761 4604\nf 5131 1880 4737\nf 238 2970 4577\nf 4834 99 4851\nf 3388 4673 1191\nf 286 4837 4749\nf 4514 4425 399\nf 4452 4453 4912\nf 1950 3542 1390\nf 2608 427 2790\nf 1636 357 2608\nf 1621 2329 5070\nf 4947 4254 360\nf 127 4704 256\nf 4566 1631 2328\nf 4365 1440 780\nf 4122 4888 4714\nf 1835 3213 3128\nf 1979 2887 2812\nf 4789 3380 114\nf 1190 2384 338\nf 4484 4768 44\nf 4630 4782 4670\nf 3074 656 4530\nf 4760 166 5046\nf 173 1636 3896\nf 1779 2434 1838\nf 5161 245 4889\nf 4714 241 4122\nf 4737 4680 379\nf 53 4812 4883\nf 159 4777 4748\nf 4813 97 288\nf 2668 136 274\nf 185 1989 3384\nf 5053 4830 4474\nf 4922 471 4891\nf 5207 4637 4636\nf 5080 561 124\nf 4553 191 426\nf 213 4654 212\nf 114 3380 4980\nf 4593 4524 11\nf 129 2395 423\nf 4849 4484 187\nf 5062 4777 159\nf 224 4633 275\nf 3462 3141 415\nf 4816 4814 52\nf 5071 102 216\nf 215 4742 4846\nf 412 4436 2422\nf 121 4711 4784\nf 4785 177 4915\nf 4650 400 276\nf 4928 4974 4671\nf 230 4775 2499\nf 279 2538 188\nf 182 5068 4697\nf 3121 4295 2952\nf 97 4633 4788\nf 275 97 4813\nf 4781 347 4718\nf 4627 4464 38\nf 4832 4732 170\nf 4734 4809 69\nf 2367 2037 5093\nf 4955 315 4662\nf 2329 3061 5070\nf 4448 533 449\nf 4742 4601 45\nf 4799 215 4595\nf 2445 4905 5087\nf 255 4636 4637\nf 4508 4398 527\nf 1 4803 407\nf 4884 307 128\nf 47 4786 4785\nf 4248 3120 442\nf 5006 402 403\nf 5092 191 4494\nf 411 690 277\nf 125 4859 278\nf 4901 2499 4775\nf 2592 4623 3885\nf 2918 370 462\nf 4887 4726 150\nf 448 876 4387\nf 4174 4295 4234\nf 49 235 4562\nf 184 2345 81\nf 2954 4574 1583\nf 4832 4312 4873\nf 512 5184 5011\nf 204 4630 4670\nf 4507 469 4929\nf 309 4512 396\nf 4673 4772 160\nf 24 4759 105\nf 437 311 4968\nf 4620 4731 132\nf 112 56 5082\nf 2490 287 4389\nf 3081 369 4497\nf 290 133 4882\nf 4499 4416 4651\nf 5386 5276 5912\nf 4244 5122 484\nf 1411 4682 4799\nf 4369 4289 4316\nf 463 4981 2317\nf 364 595 321\nf 4249 2511 5165\nf 17 107 4542\nf 4510 2071 1701\nf 324 4915 4442\nf 2243 4589 625\nf 3352 421 4413\nf 282 4835 4942\nf 4387 401 448\nf 442 4433 4856\nf 4960 324 4442\nf 3931 1544 3089\nf 397 96 4807\nf 35 4443 2612\nf 4234 410 514\nf 4928 4671 4827\nf 445 2592 3885\nf 4697 4821 4792\nf 4792 54 4519\nf 5211 81 2345\nf 4746 4918 235\nf 2250 4296 4175\nf 2808 458 26\nf 99 244 249\nf 178 4543 5091\nf 4938 4619 2913\nf 1321 4969 4968\nf 4579 160 4523\nf 4 3698 4811\nf 157 312 4759\nf 24 157 4759\nf 65 4 5082\nf 5093 2037 80\nf 4970 4386 4841\nf 4459 2017 2740\nf 2 4086 103\nf 4904 36 439\nf 4185 4113 485\nf 485 4838 4548\nf 209 4659 58\nf 245 106 4758\nf 4379 453 3726\nf 176 4903 4570\nf 5055 4686 4713\nf 4634 4902 318\nf 4238 1735 3196\nf 37 4753 107\nf 1587 2340 628\nf 642 491 3188\nf 623 2033 4239\nf 4795 281 4724\nf 4835 282 4741\nf 3879 2718 4300\nf 4358 4385 3172\nf 197 4943 3208\nf 4610 4644 4441\nf 202 4567 4525\nf 4639 165 168\nf 708 445 4107\nf 4534 4460 4429\nf 4525 4767 3204\nf 2407 795 3943\nf 4897 4867 4804\nf 3932 5198 3858\nf 4562 46 49\nf 695 644 4094\nf 4094 4381 695\nf 5085 259 260\nf 5155 4445 3023\nf 4444 4464 4507\nf 4881 166 4760\nf 2370 4377 4333\nf 289 399 4912\nf 437 4684 4886\nf 437 51 311\nf 4363 90 3080\nf 348 4446 4363\nf 369 66 3984\nf 4113 4469 2467\nf 4518 544 4340\nf 359 4509 4846\nf 2339 4544 2969\nf 3229 4311 5106\nf 113 1969 4287\nf 636 5098 4189\nf 3936 2303 2057\nf 189 4784 284\nf 16 4724 281\nf 4960 4442 4750\nf 4589 4795 282\nf 3172 1772 2813\nf 497 1772 498\nf 3799 477 421\nf 4597 324 4537\nf 1791 4179 577\nf 498 402 5006\nf 444 2048 4168\nf 93 4919 3069\nf 3674 2075 572\nf 462 526 11\nf 4097 5140 4022\nf 3821 2002 4826\nf 5129 1846 1845\nf 1897 319 385\nf 460 2356 4184\nf 2008 259 2040\nf 695 565 511\nf 4489 4183 1583\nf 564 2549 4374\nf 4420 2034 4291\nf 496 287 576\nf 20 4970 438\nf 2832 490 4685\nf 51 4881 4546\nf 3024 3178 2366\nf 4021 582 659\nf 587 4907 4329\nf 2327 2326 4892\nf 4497 4399 2331\nf 2313 2199 3968\nf 2331 3081 4497\nf 5041 4082 4520\nf 4469 4185 3385\nf 1198 2339 2969\nf 4313 5086 3448\nf 4196 4729 10\nf 3274 2268 2511\nf 2058 2513 4052\nf 2368 4247 4281\nf 5124 2015 476\nf 4392 3880 301\nf 4750 128 4806\nf 4392 3879 4300\nf 630 365 404\nf 635 4382 4455\nf 4317 5214 3978\nf 1544 5206 5157\nf 3172 2813 4358\nf 2836 4831 4775\nf 4200 3965 1479\nf 4870 4779 4581\nf 5089 4352 4335\nf 2799 4400 5090\nf 2356 4349 4346\nf 4873 4464 4832\nf 4384 4451 482\nf 4062 4954 603\nf 678 4225 2030\nf 352 4657 4683\nf 3724 595 2466\nf 4196 728 2219\nf 4011 599 1357\nf 4181 495 4249\nf 4371 4398 5124\nf 4696 4903 176\nf 2052 2346 4250\nf 4960 4959 4951\nf 2443 4461 910\nf 5012 674 2413\nf 2413 733 325\nf 4299 4599 4297\nf 5214 4171 623\nf 524 4856 4433\nf 2059 5128 4068\nf 2531 584 2612\nf 2612 4443 4354\nf 2161 4159 513\nf 679 1516 537\nf 3909 5188 2135\nf 4207 2281 2250\nf 647 646 4360\nf 2295 4223 4266\nf 659 778 4021\nf 4384 482 75\nf 951 4017 2290\nf 2227 2290 4520\nf 4500 4603 4399\nf 2466 595 4950\nf 113 4564 321\nf 4011 540 2058\nf 4039 4240 4209\nf 523 4040 1791\nf 4167 5167 1773\nf 2413 674 733\nf 4299 3120 4599\nf 4206 4264 791\nf 4355 2382 1018\nf 3422 1147 650\nf 4390 1687 2048\nf 4388 4515 454\nf 4207 591 3887\nf 578 512 4381\nf 4268 752 547\nf 4360 646 548\nf 2391 299 5042\nf 503 582 4160\nf 556 2334 812\nf 781 659 5192\nf 533 2423 569\nf 4336 2378 4082\nf 2969 4544 5027\nf 4220 344 4876\nf 2219 4121 4196\nf 4121 4331 4196\nf 742 2219 728\nf 540 641 2513\nf 1735 459 531\nf 4115 2105 4176\nf 4599 366 2443\nf 4317 4411 4187\nf 626 1066 2045\nf 1129 5206 516\nf 4076 4130 2375\nf 2382 4245 630\nf 5128 494 1540\nf 4383 4584 566\nf 4035 2350 572\nf 532 4061 2230\nf 2230 2315 4128\nf 2231 3883 2361\nf 4088 162 4133\nf 3887 3804 886\nf 2281 2270 2250\nf 2696 695 4381\nf 2229 550 2371\nf 874 2359 814\nf 4985 582 552\nf 2373 654 4230\nf 848 5750 6072\nf 4909 4148 653\nf 653 555 678\nf 4518 528 4548\nf 528 504 4499\nf 715 5095 5199\nf 616 1705 300\nf 1765 1945 542\nf 5195 5212 2341\nf 2179 667 755\nf 617 2405 4181\nf 1357 599 4447\nf 4300 477 3799\nf 5128 1067 494\nf 681 4106 4065\nf 2182 5197 3907\nf 4098 2543 2541\nf 1540 711 699\nf 2215 5137 1479\nf 2215 2214 5137\nf 3943 5009 2162\nf 2055 1869 4065\nf 2971 618 2002\nf 1407 4327 3952\nf 578 4381 4094\nf 789 2204 2441\nf 13 4934 2307\nf 5181 2171 4118\nf 2372 2369 2391\nf 5164 5201 1000\nf 4330 2279 4985\nf 539 552 503\nf 685 4013 2019\nf 685 2019 2373\nf 832 5469 5978\nf 4651 4185 4548\nf 793 2248 3970\nf 4100 5202 3869\nf 755 2027 2165\nf 495 4240 531\nf 1356 506 1379\nf 4059 697 3828\nf 4278 4109 4237\nf 4187 4300 2718\nf 4028 6033 826\nf 779 4382 5100\nf 4003 2431 892\nf 5149 5218 2241\nf 2305 263 4229\nf 2215 799 4141\nf 3868 5666 3585\nf 3858 2135 1348\nf 4012 4004 4212\nf 668 1607 1987\nf 683 2237 5863\nf 790 5274 3900\nf 3851 6136 790\nf 2204 2371 548\nf 13 62 4934\nf 2497 2206 979\nf 874 3106 673\nf 4047 2213 2254\nf 3820 1002 898\nf 4148 2031 653\nf 893 4053 2068\nf 583 450 2831\nf 4100 5173 5202\nf 3929 4083 6116\nf 5191 2004 663\nf 4258 2368 2105\nf 1791 2781 523\nf 3912 863 2271\nf 2380 4072 816\nf 3729 6036 3808\nf 3101 4037 815\nf 3789 846 3702\nf 5213 731 3977\nf 2282 5846 2103\nf 2235 3343 3345\nf 1479 5137 619\nf 2155 979 2206\nf 825 706 776\nf 13 979 2155\nf 2210 5101 776\nf 2076 2210 3964\nf 871 2255 2101\nf 877 587 4266\nf 612 4108 2261\nf 3970 4876 3811\nf 2224 3920 753\nf 3598 5350 3603\nf 2344 4144 4054\nf 5381 6021 5982\nf 816 2291 4046\nf 3729 2127 3735\nf 553 2854 3744\nf 846 5826 3702\nf 665 5213 2246\nf 3730 3986 3833\nf 932 783 735\nf 5693 3778 906\nf 2253 5311 4155\nf 4155 3923 5107\nf 4946 738 881\nf 2322 5757 4125\nf 62 704 4276\nf 3894 2186 4934\nf 6069 976 986\nf 898 1026 4005\nf 5101 3996 2184\nf 957 956 4000\nf 2311 813 660\nf 810 5143 2283\nf 4083 787 4016\nf 882 3872 2218\nf 5217 655 862\nf 2148 5491 3600\nf 2174 3940 2164\nf 5166 6023 899\nf 926 5182 5766\nf 6038 5260 852\nf 974 6024 3857\nf 3952 2281 2276\nf 5274 3740 969\nf 988 3686 1076\nf 3745 1008 5781\nf 2184 2186 5640\nf 5914 3990 5803\nf 981 5834 759\nf 3802 1046 2172\nf 5359 5638 5578\nf 4054 4144 3871\nf 900 2310 4895\nf 826 939 5756\nf 5937 1011 5608\nf 3993 3390 5279\nf 3681 3809 3617\nf 4767 3069 4919\nf 899 4106 2273\nf 64 4826 794\nf 3919 973 1012\nf 5394 5458 6059\nf 937 4008 5801\nf 4957 5196 4948\nf 3806 5825 1113\nf 5101 4251 3996\nf 945 5343 4256\nf 6056 5800 3424\nf 3968 2199 1507\nf 1003 6134 2181\nf 3644 1125 2682\nf 2252 3692 3416\nf 5364 3870 929\nf 5032 3647 5993\nf 2102 2096 1156\nf 2096 2102 1155\nf 3735 5146 2288\nf 2577 1029 1680\nf 3817 1159 1394\nf 3848 3681 3617\nf 3522 3155 3676\nf 3466 5719 3919\nf 3986 3859 3864\nf 5898 3860 3928\nf 3815 5732 3731\nf 6139 3793 1047\nf 2306 5672 5781\nf 2222 5453 5820\nf 1049 993 3846\nf 859 2213 4047\nf 5933 5732 5823\nf 952 3882 4255\nf 3569 3643 1532\nf 980 3945 2136\nf 957 792 2180\nf 4015 6116 3829\nf 3711 5937 3774\nf 5937 5266 1011\nf 3662 5511 3994\nf 3732 3786 1673\nf 5768 1233 3657\nf 3837 3682 2137\nf 822 2131 4029\nf 857 3856 5539\nf 997 989 5370\nf 5650 3999 2086\nf 740 2277 856\nf 5034 906 5270\nf 3342 3413 1298\nf 5821 3928 3860\nf 3676 989 997\nf 3951 3898 3166\nf 3654 3922 6169\nf 5628 6010 1637\nf 6012 3709 3503\nf 1106 3795 5913\nf 2073 3687 1136\nf 3620 5615 986\nf 955 5897 3914\nf 4006 5480 999\nf 5554 2183 660\nf 956 5468 3680\nf 2275 3679 3946\nf 5683 6137 3421\nf 5372 3705 5582\nf 2264 5455 3751\nf 6065 3705 5463\nf 978 3718 3607\nf 759 2245 907\nf 1075 5535 5390\nf 868 5684 4016\nf 6009 726 3672\nf 1207 5854 1281\nf 991 1062 5779\nf 3572 6048 3537\nf 4046 5146 816\nf 3669 5420 5824\nf 5279 3921 972\nf 1277 5776 6112\nf 3657 1233 3533\nf 991 5779 5989\nf 847 5810 1096\nf 6026 729 3856\nf 3860 5682 5393\nf 3315 5842 3518\nf 5643 5489 5224\nf 5752 5551 3826\nf 3621 5929 1102\nf 5495 6038 991\nf 6010 5628 998\nf 3928 5265 6141\nf 3568 5413 1095\nf 3686 1081 3947\nf 1136 3687 5933\nf 3722 5615 5249\nf 5984 5428 1049\nf 5160 5343 2256\nf 5673 5322 5943\nf 1297 1013 5502\nf 3605 1022 1122\nf 1118 3625 3690\nf 6060 1025 5379\nf 5287 5831 1141\nf 5287 5462 1154\nf 3819 5829 3658\nf 1054 3561 3389\nf 5286 3618 5876\nf 5896 3672 726\nf 6044 5852 3559\nf 5490 1096 5569\nf 914 1040 6055\nf 2288 1040 914\nf 1303 1414 5945\nf 954 5662 2137\nf 964 6101 5226\nf 4989 1006 6101\nf 6151 5460 1579\nf 3490 3263 3492\nf 4002 5308 1044\nf 6000 1097 2078\nf 6031 2126 5539\nf 5643 5345 5442\nf 2207 6052 3765\nf 3806 2146 5825\nf 5912 1093 3510\nf 5806 3947 5825\nf 3991 959 994\nf 3687 3651 5894\nf 3844 5322 5860\nf 2080 3637 1297\nf 949 999 5329\nf 5803 2100 3725\nf 5276 1109 3713\nf 1744 3776 1019\nf 5225 1137 3597\nf 960 760 1063\nf 5778 5522 4018\nf 1071 5993 1511\nf 6037 3819 2795\nf 5264 3831 5478\nf 3632 5560 3760\nf 3362 1236 2129\nf 3748 3632 5884\nf 5407 824 4201\nf 5670 1161 6117\nf 5278 3525 6107\nf 3600 5491 3669\nf 3789 1394 5254\nf 5254 1394 1082\nf 3729 3735 5608\nf 5865 1030 6146\nf 5770 1201 3447\nf 3601 3684 5755\nf 1238 5229 3332\nf 3505 3516 1091\nf 1397 3767 5731\nf 3675 3881 5975\nf 3509 1223 6006\nf 6022 6101 5465\nf 5786 1020 5408\nf 5825 2146 5806\nf 996 1074 5434\nf 1089 3608 5548\nf 5590 1170 1095\nf 3547 5376 3570\nf 3881 3675 2131\nf 5875 6128 3424\nf 6128 2265 3688\nf 3956 2209 5294\nf 1118 3690 3910\nf 2107 2222 3305\nf 5929 5786 990\nf 960 1063 5623\nf 2851 5599 3287\nf 5588 6017 3764\nf 3787 5333 5032\nf 1269 3517 3425\nf 5876 3618 5887\nf 5353 5882 3398\nf 3540 5882 5980\nf 1234 1296 5331\nf 897 6164 6036\nf 3699 3742 5826\nf 3496 1083 3179\nf 5657 3394 2654\nf 5363 5602 3638\nf 5384 3332 5595\nf 3581 3655 1171\nf 5548 5833 1089\nf 3767 3629 3546\nf 2131 822 3881\nf 5996 5295 1572\nf 5808 3775 1019\nf 5383 1397 1744\nf 1223 2088 1001\nf 971 3806 3365\nf 3806 5979 3365\nf 5545 5275 3492\nf 2193 3625 1132\nf 5906 3368 3439\nf 1412 5586 6012\nf 5808 3776 1579\nf 3037 3863 5796\nf 5741 1004 1362\nf 6000 6131 1097\nf 3177 658 5033\nf 5379 2252 6060\nf 5932 1586 3710\nf 3495 5506 3389\nf 5562 5955 3619\nf 5230 1234 5331\nf 5459 5466 3743\nf 3791 5619 2225\nf 5275 3609 3490\nf 927 3652 3761\nf 3547 5880 5376\nf 5932 5972 1289\nf 1149 4018 3942\nf 3540 3539 1070\nf 3656 5366 5965\nf 3638 3332 5384\nf 5285 3692 5706\nf 6080 3244 3597\nf 1072 960 5623\nf 3564 1413 3355\nf 2247 5887 1103\nf 5230 3602 1207\nf 5612 2286 3627\nf 5524 6093 3475\nf 3538 3438 1050\nf 5805 3656 5895\nf 1203 5240 2134\nf 5916 1203 4992\nf 3524 3588 5774\nf 5713 1185 5885\nf 5797 1320 3612\nf 3916 5999 5780\nf 1511 3529 5223\nf 6095 5995 1392\nf 5667 5500 5317\nf 5891 1038 3591\nf 1021 6113 6017\nf 1206 5457 6113\nf 1178 5970 5928\nf 1178 5928 5866\nf 3545 1128 5344\nf 3262 1192 1265\nf 5883 5985 2280\nf 3475 5945 1181\nf 5907 3689 1256\nf 5694 5237 1304\nf 164 2499 2721\nf 6029 3394 5997\nf 5363 5780 3562\nf 5904 1146 3527\nf 3426 5621 3308\nf 5630 3397 3576\nf 1391 1309 1086\nf 3670 1184 3427\nf 3389 3558 1169\nf 3355 6008 3564\nf 3618 5286 3769\nf 5406 769 3531\nf 5858 1178 5866\nf 2129 1236 1104\nf 1235 5724 5942\nf 6149 5645 5725\nf 1399 1340 3538\nf 5850 3458 6162\nf 3458 5883 3465\nf 1185 3452 5240\nf 5526 5375 1166\nf 5865 1180 5555\nf 6029 3544 5328\nf 5819 5233 3031\nf 1391 5410 3165\nf 1163 3427 1184\nf 5735 3670 3576\nf 3501 1053 3158\nf 1148 5500 3488\nf 5272 3741 769\nf 1192 3336 1322\nf 1178 3626 1128\nf 5830 5950 5246\nf 1414 1110 1302\nf 5985 1050 2280\nf 5584 3370 1333\nf 1805 5774 1123\nf 6091 6146 1030\nf 1591 3083 3049\nf 3241 5921 1195\nf 5513 1747 3586\nf 1520 5944 2099\nf 3200 5485 3447\nf 1320 1216 3562\nf 3187 1177 2809\nf 3566 5461 2809\nf 3199 2108 3282\nf 5277 5566 1218\nf 3306 6046 5525\nf 3307 1253 1053\nf 3171 1475 6145\nf 5866 5928 3356\nf 3627 3626 931\nf 1251 5278 3523\nf 3504 2157 6117\nf 5594 3338 1272\nf 6125 5561 1284\nf 5517 1272 5237\nf 5654 3109 1258\nf 3458 3465 6162\nf 3317 2079 5864\nf 5795 3035 2639\nf 1166 5375 2632\nf 1127 1403 1458\nf 3346 3270 1482\nf 3192 5543 1477\nf 3118 5812 5289\nf 1342 6138 1798\nf 2044 1310 5770\nf 5422 5923 5681\nf 3483 1257 5992\nf 5992 6001 3239\nf 5461 3566 1402\nf 5277 3420 5566\nf 3206 1309 5959\nf 1276 1210 3397\nf 3281 6124 2093\nf 6046 3376 5338\nf 1392 5667 6095\nf 3358 5858 5866\nf 5632 3358 5866\nf 5454 5947 3502\nf 3160 3543 3578\nf 5439 5885 3473\nf 5925 5567 5352\nf 5853 5935 5587\nf 6043 1331 5637\nf 3417 3319 5870\nf 3278 1259 3502\nf 3436 5740 5555\nf 5744 5730 5252\nf 6074 5252 3410\nf 1477 5861 3275\nf 6045 3428 1286\nf 1437 5659 3325\nf 1395 2176 1342\nf 3237 3110 3302\nf 2755 2756 2099\nf 3083 2811 3243\nf 2920 5251 1257\nf 5699 3226 3065\nf 6166 5486 6094\nf 5987 5686 5571\nf 5587 1505 2811\nf 3290 5664 3410\nf 5404 3311 3310\nf 3410 5664 1375\nf 1651 1482 3270\nf 2953 5532 1582\nf 3406 5704 5538\nf 5676 5437 5759\nf 3586 1245 5513\nf 1172 3189 5352\nf 1747 5485 5313\nf 6063 1424 3073\nf 5256 3167 2074\nf 3232 2099 5283\nf 3242 3307 3361\nf 5973 1345 3359\nf 1254 1428 5481\nf 5610 2132 1265\nf 6166 3043 6068\nf 3338 1340 5425\nf 1643 5371 2167\nf 5885 5916 3473\nf 1370 5973 1509\nf 5853 2955 1317\nf 3311 5281 5864\nf 1375 3335 3410\nf 5532 3406 5538\nf 1380 5665 1520\nf 1168 5436 3045\nf 5421 6129 3218\nf 1424 6063 5313\nf 5485 5671 1424\nf 1271 3318 3154\nf 3095 5992 5024\nf 1308 6153 5794\nf 3149 5514 1288\nf 6090 5652 1584\nf 1570 3361 5530\nf 3216 5120 5723\nf 3467 6166 6068\nf 5822 6105 1648\nf 1718 1562 3163\nf 5864 2955 3317\nf 1259 3348 1452\nf 5362 5957 5708\nf 5552 3268 3272\nf 2149 1484 1373\nf 3182 5498 1547\nf 2149 1373 1482\nf 5751 1374 3309\nf 1483 2236 6020\nf 3318 2838 3154\nf 5990 1449 3284\nf 5717 5290 1541\nf 1694 3260 3124\nf 1500 3284 1449\nf 5284 1151 5959\nf 5352 5567 3250\nf 1367 1211 1584\nf 6078 3191 1481\nf 5773 5561 6125\nf 3191 6078 3279\nf 1467 5701 3007\nf 5526 5538 5704\nf 5953 5591 5377\nf 3329 5596 1273\nf 1619 3067 3115\nf 3002 3020 1449\nf 5451 5729 5312\nf 5247 1434 3395\nf 5257 5998 5247\nf 6050 5493 6132\nf 5653 1212 6045\nf 5917 5424 5382\nf 1439 1533 3098\nf 1485 5998 5581\nf 5890 2839 2827\nf 5476 5401 3215\nf 1736 3011 2728\nf 3318 3382 3293\nf 3006 3094 1613\nf 5962 6058 3000\nf 3270 3346 3414\nf 1431 5242 2868\nf 3164 3029 6030\nf 6084 3164 6030\nf 1535 1736 1693\nf 1606 2785 1599\nf 3147 2982 3084\nf 5387 5258 5775\nf 6058 6144 3157\nf 1696 1461 6127\nf 3103 2785 5888\nf 1535 1693 1769\nf 3079 5746 1599\nf 5948 3076 1810\nf 2906 2995 5862\nf 3020 5256 1449\n"
  },
  {
    "path": "vkoo/assets/bunny_rescaled.obj",
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26.057377\nvn 0.497374 -5.893236 0.747211\nv 0.259130 -1.902937 34.993458\nvn -6.269623 -0.035286 -0.374602\nv -18.964058 -4.828506 18.902458\nvn 0.077067 2.167899 5.440702\nv 3.586629 2.370041 27.768349\nvn 0.291411 -6.274211 -0.130763\nv -4.292128 -1.874307 34.856697\nvn -5.124837 2.752989 0.043654\nv -18.913313 1.941119 25.989645\nvn 0.240715 -6.272693 -0.215440\nv -11.544856 -13.089060 28.594717\nvn 0.202404 5.981876 1.321477\nv -2.843143 2.660712 27.304678\nvn 0.383924 -6.261857 -0.119243\nv -17.302166 -13.464350 28.336718\nvn -6.272604 0.338417 -0.048915\nv -19.043644 -1.555553 31.384998\nvn 0.401045 -0.026952 6.266864\nv 1.191450 -1.711431 27.993900\nvn 6.268312 0.213161 -0.237783\nv -11.049645 12.258587 36.463905\nvn -2.897375 0.170989 4.359366\nv -18.860781 -3.874069 39.550774\nvn -6.275301 0.164854 0.221662\nv -19.072287 -4.651835 24.282846\nvn 0.499561 0.228463 -4.879425\nv -12.169324 15.504248 32.479160\nvn 6.258571 -0.465409 0.107117\nv -7.621363 -9.019784 37.443588\nvn -0.352139 -6.272347 -0.091832\nv 0.271262 -13.282077 22.521524\nvn -6.278774 0.233311 0.014750\nv -19.081318 -2.564776 31.309059\nvn 0.381347 -6.215774 -0.819332\nv 3.497892 -1.479728 38.803215\nvn -5.066971 0.579722 -1.902900\nv -12.830725 17.270138 33.239811\nvn -5.695682 1.159955 0.407725\nv -12.951814 20.989861 39.969498\nvn 0.364689 0.259528 6.265777\nv 15.685256 -0.521517 27.081884\nvn 4.977493 -0.378307 2.801752\nv -10.966140 5.316455 40.094570\nvn -0.953566 6.092355 0.195002\nv 11.193219 0.024094 36.645157\nvn -6.278506 -0.235692 0.027509\nv -19.119110 -0.355437 21.817028\nvn 0.471739 0.359131 6.253575\nv 11.255908 -12.598389 27.653006\nvn -6.246004 0.494833 0.339758\nv -19.221201 -8.823595 34.927814\nvn -6.151623 0.404125 -1.140296\nv -12.709866 21.153585 39.107956\nvn 0.231060 2.410319 5.207108\nv 7.192453 2.734520 27.592505\nvn -0.152832 -0.397180 6.265401\nv -5.141470 -8.367557 28.196262\nvn 0.526499 -6.258775 0.164989\nv -16.355236 -13.413775 36.397213\nvn -0.863158 1.456945 -5.479493\nv -1.091845 -0.068371 33.037350\nvn -0.932481 0.791052 6.024436\nv -6.685421 -0.294599 39.782726\nvn -0.741361 6.161770 0.050606\nv 11.121841 0.018814 37.708897\nvn 0.260294 -0.277939 6.270884\nv -3.957635 -8.626005 28.161087\nvn 0.176514 -0.103964 6.276307\nv -0.944965 -7.144884 28.011904\nvn 0.248700 -6.236000 0.661304\nv -7.726688 -12.885406 26.854156\nvn -1.106764 -0.503455 6.038880\nv -18.254856 -8.642111 39.377285\nvn -0.166653 -6.262368 0.457497\nv 14.505047 -14.349801 24.532597\nvn -0.597778 -6.253756 -0.084595\nv 3.769002 -13.614969 25.301144\nvn -0.034123 -6.279568 0.044118\nv -4.862465 -12.976960 24.893396\nvn -0.956880 -6.012496 1.523687\nv 10.279897 -14.486244 21.334097\nvn 0.596342 -6.251295 0.149072\nv -13.139434 -13.147861 34.286575\nvn -6.180078 0.469690 0.960107\nv -13.133647 11.631186 34.459717\nvn -0.521902 0.577428 -6.169018\nv -5.246188 -0.381598 33.488441\nvn 6.262942 0.328029 -0.347368\nv -11.115842 11.176317 34.585041\nvn 0.379138 0.280866 6.264912\nv 16.597824 -1.390162 27.080906\nvn 0.102351 -0.092507 6.281526\nv -15.395376 -6.246969 39.398949\nvn -5.114152 -0.716663 3.028101\nv -19.044287 -11.941098 38.459316\nvn 0.598087 -0.197432 6.251027\nv -2.374507 -0.577569 28.230326\nvn -0.313520 -1.030886 5.998505\nv 3.144408 -0.713198 40.776482\nvn -0.213982 5.261292 2.531603\nv 2.908260 2.844578 27.335150\nvn -6.273819 0.250147 -0.215812\nv -12.982226 14.479572 37.416489\nvn -1.373422 3.566904 -2.379714\nv -12.163033 22.007647 35.255772\nvn 0.192889 -6.212222 -0.115665\nv -17.554724 -13.445521 32.049580\nvn 0.343804 0.038734 6.273471\nv 4.599185 -3.696693 27.809214\nvn -6.278530 0.221704 0.034111\nv -19.128954 -3.842001 32.255817\nvn 0.031807 -0.053146 6.282345\nv -10.041826 -2.998761 39.378464\nvn 0.535315 -6.258289 0.120849\nv -15.286427 -13.304440 36.731277\nvn 0.942521 -0.583977 5.924142\nv -8.896590 -10.289062 39.404518\nvn 0.822668 -0.947217 -6.004961\nv -11.846292 3.633939 33.825527\nvn 6.276073 -0.123544 0.270077\nv -7.513104 -7.544758 33.931484\nvn -6.273639 0.217802 -0.140975\nv -19.039179 -4.021441 35.882339\nvn -0.139435 -0.302999 6.274117\nv -16.890720 -10.060964 39.299438\nvn 0.711541 -6.233459 0.193585\nv -9.483069 -12.703077 36.724251\nvn 5.353874 -0.068513 1.975847\nv -10.866248 12.261070 40.271633\nvn -6.243737 0.180442 0.208698\nv -12.600633 18.902393 34.623817\nvn 0.897984 6.215293 0.106641\nv -7.851415 1.088007 35.962952\nvn 6.272901 0.242417 0.248651\nv 18.497755 -0.611047 25.100077\nvn -1.836813 -5.277320 1.371554\nv -18.644226 -13.445956 37.572388\nvn 1.299129 5.328721 2.608185\nv -8.290755 2.063385 29.001471\nvn -6.273032 0.331019 0.055359\nv -19.144066 -4.586858 32.802055\nvn -5.520714 -1.543664 -1.392036\nv -19.528296 -12.778687 27.199148\nvn 0.177293 6.279699 0.007840\nv -13.249296 2.298352 28.521120\nvn 0.035045 -0.102817 6.282094\nv -13.864923 -2.642668 39.427544\nvn -0.429837 -6.265295 -0.141776\nv 6.916460 -13.924630 26.432051\nvn -6.266361 -0.036016 -0.293503\nv -19.165712 -2.912204 27.710020\nvn 0.062149 -6.273795 0.236151\nv -10.388405 -12.957623 25.721415\nvn 0.488678 0.104526 6.263095\nv 12.931166 -9.682092 27.484444\nvn 6.157559 -0.963786 0.565263\nv -7.473703 -11.720960 32.578724\nvn 0.290265 -0.016934 6.274991\nv 0.062443 -1.932382 28.048210\nvn -6.272702 0.341085 0.043497\nv -19.153801 -4.617056 31.838594\nvn 0.608181 -6.246210 -0.260386\nv -14.072014 -13.344608 30.072609\nvn 0.193213 -6.278568 0.103000\nv 9.841575 -0.980464 35.722775\nvn 6.161171 0.701458 0.678506\nv -10.639915 2.977276 38.716927\nvn 0.089882 -6.267014 0.110842\nv -15.752911 -12.986568 24.271847\nvn -6.273602 0.254382 0.009676\nv -19.269983 -6.215382 31.493843\nvn 0.483946 5.462146 -2.219068\nv 7.823611 0.062493 33.326401\nvn -6.236044 0.760561 0.010160\nv -19.371119 -8.817691 30.129690\nvn 0.150814 -0.088986 -6.280727\nv 8.968414 -0.758979 -0.201106\nvn 0.133383 -6.277088 -0.215889\nv -10.627069 -13.066604 28.609112\nvn 0.349479 0.074795 6.272731\nv 3.766241 -3.093040 27.850777\nvn -4.754483 -0.343770 -3.505600\nv -13.090174 7.452858 33.908173\nvn 4.406376 -0.494028 3.229780\nv -7.646360 -7.962682 39.124512\nvn -6.229196 0.533602 0.150919\nv -13.451624 4.713767 36.585724\nvn -6.249426 0.085481 -0.613912\nv -19.167059 -6.495718 27.246449\nvn 0.476836 5.125207 2.497934\nv 4.425611 0.433252 40.240200\nvn 0.088603 -5.153980 2.525216\nv 12.104712 -14.151549 27.187458\nvn 0.125959 -0.081137 6.281322\nv -10.846128 -3.330125 39.391220\nvn -0.172890 6.274478 0.231062\nv 13.411522 3.598262 25.082380\nvn 0.222935 0.024603 6.276890\nv 1.567104 -3.641104 27.968840\nvn 0.429030 0.900700 -4.389028\nv -12.099039 17.867224 32.772614\nvn 0.307464 0.178623 6.273015\nv 5.531284 -8.501640 27.829433\nvn 0.090692 -1.982212 5.613306\nv -2.522788 -12.158735 28.007309\nvn 0.274926 2.409891 5.260701\nv 8.238076 2.784367 27.506886\nvn 6.231072 0.584244 0.519129\nv 18.394403 1.808998 24.630276\nvn -0.136733 -4.560287 3.324944\nv 7.895969 -13.878528 27.632580\nvn 0.143156 5.982812 -1.385630\nv -3.287897 0.810875 34.224846\nvn 0.350384 0.090174 6.272538\nv 11.337462 -6.947384 27.511360\nvn -6.238006 0.655640 0.347557\nv -19.455692 -10.605385 34.486427\nvn -0.368387 6.241454 0.602371\nv 13.784918 3.781153 22.736382\nvn 0.371568 -6.256124 -0.364814\nv 8.751362 -1.057468 38.800083\nvn 0.185984 0.127195 6.278910\nv 16.832663 -6.249686 27.259163\nvn -6.237721 0.535984 -0.512638\nv -12.669858 20.541388 38.284416\nvn -5.086773 -2.121533 1.359355\nv -19.359276 -12.989738 37.078320\nvn 0.302031 1.381444 -5.720870\nv -12.008337 2.521452 34.026230\nvn -6.254463 0.450352 -0.380789\nv -19.516432 -10.486975 28.925049\nvn -4.979874 0.504132 -2.310004\nv -12.855688 16.098492 33.023579\nvn -6.272105 0.327821 0.101397\nv -19.189575 -5.258829 33.471737\nvn -6.239371 0.662494 0.321959\nv -19.339050 -9.491066 34.220600\nvn 0.355148 -0.139366 6.269807\nv -0.381329 -3.023221 28.060205\nvn 0.351266 0.039642 6.273141\nv 9.405132 -1.722914 27.534012\nvn 0.393978 6.268935 -0.098152\nv 2.106266 0.550615 36.264622\nvn 0.558261 -6.255044 0.162946\nv -14.078129 -13.237788 34.170547\nvn -5.380580 -0.129366 1.978544\nv -19.203665 -5.026455 39.023682\nvn 0.413529 -6.265313 0.175853\nv -16.032463 -13.457350 32.361847\nvn 0.324057 0.155252 6.271770\nv 8.232319 -6.231951 27.645748\nvn -4.450565 -0.250111 3.683115\nv -13.117400 4.868410 40.017921\nvn -4.564107 3.297918 0.811634\nv -18.818089 1.766444 34.691940\nvn -5.246287 2.445511 -0.563643\nv -13.490497 2.582169 35.762558\nvn -4.189389 -3.950179 -0.790513\nv -18.752527 -12.670687 24.787647\nvn -3.376018 0.735783 3.983908\nv -18.685619 -1.678192 39.479454\nvn 0.460591 6.261713 0.098508\nv -14.720679 2.180661 34.299995\nvn -4.937356 2.634723 -0.525473\nv -18.965832 2.040914 26.860941\nvn -0.007832 -0.070038 6.282435\nv -9.310576 -3.923094 39.376736\nvn -0.643223 -0.566973 6.195527\nv -17.866707 -9.660713 39.305092\nvn 0.345791 6.237366 0.644943\nv -17.445816 2.332481 32.602966\nvn 0.537712 -6.259806 0.045981\nv -13.785968 -13.202112 35.146713\nvn 0.604872 1.096642 6.082862\nv 13.819815 2.356185 27.135628\nvn -0.605490 -6.253836 -0.026962\nv 6.693702 -13.900559 24.506182\nvn -0.264561 -0.459714 -6.162413\nv -6.106636 -1.007507 33.525539\nvn -6.278675 0.060829 -0.105296\nv -19.029739 -5.254029 25.788172\n# 6172 vertices, 0 vertices normals\n\nf 2697//2697 2992//2992 2416//2416\nf 2461//2461 2942//2942 1924//1924\nf 1761//1761 1867//1867 2874//2874\nf 2697//2697 2416//2416 4625//4625\nf 2648//2648 2671//2671 2961//2961\nf 2978//2978 2591//2591 368//368\nf 1816//1816 2460//2460 3040//3040\nf 1729//1729 2845//2845 1972//1972\nf 1966//1966 2502//2502 2347//2347\nf 1799//1799 2916//2916 2875//2875\nf 2617//2617 1836//1836 1971//1971\nf 2563//2563 2686//2686 1812//1812\nf 3085//3085 2762//2762 2829//2829\nf 2609//2609 2685//2685 1965//1965\nf 2393//2393 1727//1727 2630//2630\nf 2420//2420 2609//2609 2842//2842\nf 684//684 2439//2439 2644//2644\nf 3221//3221 684//684 2693//2693\nf 2514//2514 1844//1844 2774//2774\nf 2582//2582 2935//2935 2512//2512\nf 1629//1629 2507//2507 2581//2581\nf 1306//1306 1942//1942 721//721\nf 2874//2874 2968//2968 1921//1921\nf 2690//2690 1860//1860 2779//2779\nf 2701//2701 1731//1731 2589//2589\nf 2905//2905 1639//1639 5130//5130\nf 1848//1848 1563//1563 1638//1638\nf 3134//3134 1678//1678 2865//2865\nf 2979//2979 2481//2481 2546//2546\nf 4282//4282 1590//1590 4218//4218\nf 2622//2622 2715//2715 2460//2460\nf 2860//2860 3222//3222 3443//3443\nf 2867//2867 2776//2776 1890//1890\nf 2533//2533 2646//2646 2567//2567\nf 3063//3063 1944//1944 2562//2562\nf 3012//3012 2766//2766 1746//1746\nf 1929//1929 2655//2655 5718//5718\nf 1811//1811 2573//2573 2618//2618\nf 2605//2605 1815//1815 4676//4676\nf 1844//1844 2514//2514 1822//1822\nf 4348//4348 2873//2873 559//559\nf 3181//3181 2856//2856 1568//1568\nf 2753//2753 2525//2525 2510//2510\nf 2758//2758 87//87 2712//2712\nf 3827//3827 1837//1837 2492//2492\nf 1786//1786 2926//2926 1737//1737\nf 2711//2711 1526//1526 2606//2606\nf 3173//3173 1420//1420 4585//4585\nf 1868//1868 1629//1629 2925//2925\nf 2507//2507 2470//2470 2581//2581\nf 1194//1194 3457//3457 1543//1543\nf 1671//1671 3051//3051 2523//2523\nf 2415//2415 1852//1852 2983//2983\nf 4466//4466 2841//2841 1883//1883\nf 1671//1671 2675//2675 4274//4274\nf 2770//2770 2702//2702 2525//2525\nf 3507//3507 3904//3904 2711//2711\nf 2577//2577 4261//4261 4219//4219\nf 2793//2793 1847//1847 1958//1958\nf 3060//3060 2523//2523 1760//1760\nf 1658//1658 1781//1781 1757//1757\nf 1803//1803 2446//2446 2690//2690\nf 2572//2572 2686//2686 1405//1405\nf 1826//1826 2518//2518 2866//2866\nf 2516//2516 1745//1745 1947//1947\nf 1855//1855 2748//2748 2623//2623\nf 2806//2806 1996//1996 3040//3040\nf 2844//2844 2942//2942 2472//2472\nf 621//621 3444//3444 1677//1677\nf 684//684 2960//2960 2439//2439\nf 3052//3052 2760//2760 2485//2485\nf 1935//1935 2478//2478 1795//1795\nf 2595//2595 1722//1722 2475//2475\nf 2896//2896 2752//2752 2841//2841\nf 1689//1689 2399//2399 2733//2733\nf 1900//1900 1837//1837 2864//2864\nf 1895//1895 2679//2679 2967//2967\nf 2957//2957 1978//1978 2750//2750\nf 1830//1830 1778//1778 1616//1616\nf 2866//2866 2701//2701 1826//1826\nf 1882//1882 3048//3048 1510//1510\nf 2876//2876 2347//2347 1681//1681\nf 2376//2376 2567//2567 2646//2646\nf 1503//1503 1972//1972 2845//2845\nf 2739//2739 2574//2574 1664//1664\nf 1775//1775 1733//1733 2542//2542\nf 3001//3001 2474//2474 2961//2961\nf 2454//2454 2416//2416 2992//2992\nf 2997//2997 2922//2922 3548//3548\nf 1422//1422 1926//1926 2620//2620\nf 2426//2426 758//758 2484//2484\nf 5718//5718 2875//2875 2850//2850\nf 1879//1879 1922//1922 1679//1679\nf 5718//5718 2651//2651 1929//1929\nf 3221//3221 2693//2693 2535//2535\nf 1776//1776 1811//1811 2465//2465\nf 1777//1777 2695//2695 2455//2455\nf 2427//2427 2750//2750 1978//1978\nf 2461//2461 2764//2764 2656//2656\nf 2569//2569 4676//4676 1760//1760\nf 1920//1920 1667//1667 2544//2544\nf 3133//3133 3553//3553 818//818\nf 1708//1708 2606//2606 1526//1526\nf 2396//2396 2619//2619 1970//1970\nf 1745//1745 2896//2896 2841//2841\nf 2724//2724 2011//2011 1600//1600\nf 1503//1503 2845//2845 2476//2476\nf 2791//2791 1695//1695 2779//2779\nf 2864//2864 2719//2719 1900//1900\nf 2926//2926 4585//4585 1420//1420\nf 1690//1690 1854//1854 2430//2430\nf 2757//2757 2843//2843 1815//1815\nf 2449//2449 4625//4625 2917//2917\nf 2916//2916 2661//2661 2850//2850\nf 2703//2703 2191//2191 2822//2822\nf 2529//2529 3126//3126 2501//2501\nf 1638//1638 2854//2854 1848//1848\nf 2158//2158 1623//1623 4284//4284\nf 1821//1821 2849//2849 2581//2581\nf 1670//1670 1775//1775 2542//2542\nf 4901//4901 2721//2721 2499//2499\nf 2627//2627 2980//2980 1995//1995\nf 2782//2782 2629//2629 1908//1908\nf 2678//2678 4692//4692 2854//2854\nf 3548//3548 1600//1600 1914//1914\nf 1604//1604 2438//2438 5007//5007\nf 4810//4810 2471//2471 1942//1942\nf 4069//4069 5130//5130 1639//1639\nf 3068//3068 1418//1418 1389//1389\nf 2571//2571 1624//1624 2426//2426\nf 1738//1738 2410//2410 2774//2774\nf 2580//2580 1667//1667 1920//1920\nf 1868//1868 2925//2925 2616//2616\nf 962//962 1491//1491 2717//2717\nf 2475//2475 1722//1722 2489//2489\nf 2866//2866 2518//2518 2693//2693\nf 4458//4458 2526//2526 156//156\nf 2694//2694 1843//1843 1767//1767\nf 1615//1615 1894//1894 1699//1699\nf 2659//2659 1939//1939 1885//1885\nf 2966//2966 3257//3257 2784//2784\nf 2801//2801 1611//1611 2476//2476\nf 1672//1672 2659//2659 2446//2446\nf 2697//2697 1496//1496 2992//2992\nf 3181//3181 2397//2397 2856//2856\nf 2903//2903 1574//1574 6120//6120\nf 3225//3225 1671//1671 3300//3300\nf 2824//2824 2590//2590 1753//1753\nf 1801//1801 2812//2812 2887//2887\nf 2523//2523 2675//2675 1671//1671\nf 2450//2450 2462//2462 2506//2506\nf 3194//3194 2440//2440 1689//1689\nf 2702//2702 2770//2770 1663//1663\nf 2462//2462 2010//2010 1901//1901\nf 1910//1910 1723//1723 1875//1875\nf 1957//1957 1664//1664 2603//2603\nf 2557//2557 2550//2550 2900//2900\nf 2487//2487 2554//2554 1767//1767\nf 2474//2474 2648//2648 2961//2961\nf 3328//3328 5426//5426 1416//1416\nf 1592//1592 1952//1952 712//712\nf 1576//1576 1646//1646 2618//2618\nf 1827//1827 1893//1893 1963//1963\nf 1940//1940 1611//1611 2580//2580\nf 2437//2437 2447//2447 2588//2588\nf 5024//5024 1573//1573 5443//5443\nf 2552//2552 2617//2617 2858//2858\nf 1856//1856 2904//2904 2736//2736\nf 1962//1962 1994//1994 4810//4810\nf 2738//2738 1545//1545 2575//2575\nf 2540//2540 1784//1784 2376//2376\nf 2562//2562 1814//1814 2762//2762\nf 1731//1731 2830//2830 2589//2589\nf 2517//2517 2509//2509 1786//1786\nf 2780//2780 2576//2576 2398//2398\nf 4219//4219 608//608 1754//1754\nf 1990//1990 2560//2560 2545//2545\nf 2999//2999 1650//1650 1808//1808\nf 2910//2910 2640//2640 2409//2409\nf 1166//1166 2632//2632 5849//5849\nf 621//621 598//598 2343//2343\nf 2979//2979 2546//2546 1616//1616\nf 1887//1887 1970//1970 2619//2619\nf 3827//3827 3443//3443 1837//1837\nf 1889//1889 1840//1840 1722//1722\nf 1911//1911 2628//2628 2910//2910\nf 1868//1868 2616//2616 2870//2870\nf 3085//3085 2994//2994 4321//4321\nf 2644//2644 2693//2693 684//684\nf 2542//2542 2907//2907 1670//1670\nf 5433//5433 2470//2470 2501//2501\nf 1847//1847 1939//1939 2983//2983\nf 1958//1958 2983//2983 1852//1852\nf 4142//4142 1963//1963 3622//3622\nf 1964//1964 1723//1723 131//131\nf 1650//1650 2999//2999 1931//1931\nf 597//597 1710//1710 607//607\nf 1961//1961 2020//2020 2620//2620\nf 2607//2607 5648//5648 5878//5878\nf 1854//1854 1658//1658 5151//5151\nf 2706//2706 2821//2821 2744//2744\nf 2811//2811 2882//2882 5499//5499\nf 3716//3716 2025//2025 1107//1107\nf 2533//2533 2567//2567 1804//1804\nf 1783//1783 1657//1657 1601//1601\nf 2775//2775 2678//2678 2733//2733\nf 2862//2862 1783//1783 1833//1833\nf 2733//2733 1649//1649 1689//1689\nf 4502//4502 817//817 2980//2980\nf 2739//2739 2663//2663 2683//2683\nf 2480//2480 2438//2438 1604//1604\nf 5426//5426 5828//5828 5248//5248\nf 2599//2599 1959//1959 2766//2766\nf 2894//2894 2716//2716 2544//2544\nf 1973//1973 1822//1822 2514//2514\nf 1749//1749 1879//1879 1679//1679\nf 1803//1803 2714//2714 2446//2446\nf 3052//3052 2731//2731 2557//2557\nf 6138//6138 5443//5443 1798//1798\nf 2451//2451 1847//1847 2793//2793\nf 2678//2678 2854//2854 5119//5119\nf 1896//1896 2773//2773 2794//2794\nf 1867//1867 2473//2473 2968//2968\nf 2694//2694 5003//5003 1843//1843\nf 4339//4339 2905//2905 5130//5130\nf 4267//4267 2190//2190 1695//1695\nf 2557//2557 2572//2572 3052//3052\nf 2842//2842 1965//1965 1851//1851\nf 2997//2997 1828//1828 2966//2966\nf 4116//4116 1553//1553 1682//1682\nf 2853//2853 2772//2772 1870//1870\nf 689//689 553//553 982//982\nf 1870//1870 2734//2734 1635//1635\nf 1839//1839 2494//2494 2837//2837\nf 2893//2893 2001//2001 3468//3468\nf 4476//4476 4322//4322 1923//1923\nf 2457//2457 2648//2648 5004//5004\nf 2875//2875 5718//5718 2761//2761\nf 2900//2900 1917//1917 1530//1530\nf 2190//2190 559//559 2873//2873\nf 4810//4810 1994//1994 2471//2471\nf 1663//1663 5575//5575 2702//2702\nf 1787//1787 2585//2585 2985//2985\nf 1997//1997 4932//4932 2534//2534\nf 1931//1931 2408//2408 1908//1908\nf 1931//1931 1908//1908 2629//2629\nf 1824//1824 1884//1884 1717//1717\nf 2938//2938 1704//1704 3194//3194\nf 2429//2429 2975//2975 589//589\nf 589//589 558//558 2429//2429\nf 2716//2716 1751//1751 549//549\nf 2695//2695 1742//1742 1496//1496\nf 2574//2574 2957//2957 1664//1664\nf 1798//1798 2664//2664 5878//5878\nf 1750//1750 2655//2655 5116//5116\nf 5433//5433 3126//3126 1595//1595\nf 2474//2474 5004//5004 2648//2648\nf 2653//2653 2661//2661 1625//1625\nf 2518//2518 2460//2460 1816//1816\nf 4274//4274 2675//2675 651//651\nf 1867//1867 2293//2293 1866//1866\nf 2943//2943 1639//1639 2399//2399\nf 652//652 549//549 1751//1751\nf 2922//2922 2724//2724 3548//3548\nf 622//622 1886//1886 4116//4116\nf 4290//4290 1796//1796 3022//3022\nf 2903//2903 2679//2679 2623//2623\nf 2859//2859 368//368 2591//2591\nf 1754//1754 1988//1988 2946//2946\nf 1926//1926 2586//2586 5117//5117\nf 2759//2759 2688//2688 2553//2553\nf 1590//1590 4282//4282 2931//2931\nf 2912//2912 2998//2998 1804//1804\nf 2961//2961 2410//2410 2448//2448\nf 1678//1678 1829//1829 1612//1612\nf 2552//2552 758//758 2435//2435\nf 1841//1841 2408//2408 2999//2999\nf 1777//1777 2550//2550 2731//2731\nf 4582//4582 4703//4703 2564//2564\nf 1740//1740 1959//1959 1925//1925\nf 2698//2698 1617//1617 4401//4401\nf 4283//4283 2012//2012 4304//4304\nf 1964//1964 2736//2736 2904//2904\nf 2599//2599 3012//3012 1732//1732\nf 2700//2700 2485//2485 2613//2613\nf 2979//2979 2934//2934 2481//2481\nf 2485//2485 1658//1658 2613//2613\nf 2677//2677 4848//4848 200//200\nf 5163//5163 2677//2677 1878//1878\nf 1679//1679 1698//1698 2479//2479\nf 1976//1976 2646//2646 2533//2533\nf 1946//1946 1767//1767 1843//1843\nf 2864//2864 5433//5433 3445//3445\nf 2618//2618 2465//2465 1811//1811\nf 1674//1674 4818//4818 3040//3040\nf 2540//2540 2376//2376 1903//1903\nf 2869//2869 2520//2520 1707//1707\nf 1977//1977 2642//2642 2615//2615\nf 3322//3322 2684//2684 5705//5705\nf 2480//2480 1709//1709 2438//2438\nf 2934//2934 1359//1359 2908//2908\nf 2426//2426 1776//1776 2571//2571\nf 712//712 651//651 3440//3440\nf 1624//1624 2571//2571 1972//1972\nf 2656//2656 2517//2517 2461//2461\nf 2599//2599 2912//2912 2652//2652\nf 1743//1743 1610//1610 1886//1886\nf 4192//4192 3752//3752 2409//2409\nf 2686//2686 2572//2572 2900//2900\nf 1883//1883 2752//2752 2863//2863\nf 1833//1833 3998//3998 2548//2548\nf 1892//1892 2435//2435 758//758\nf 1503//1503 1624//1624 1972//1972\nf 2588//2588 1679//1679 2479//2479\nf 1833//1833 1306//1306 3758//3758\nf 5028//5028 1905//1905 3411//3411\nf 1299//1299 2403//2403 1708//1708\nf 1722//1722 2421//2421 2489//2489\nf 4741//4741 4806//4806 4850//4850\nf 5499//5499 2882//2882 3241//3241\nf 2770//2770 1527//1527 2724//2724\nf 3048//3048 1882//1882 2573//2573\nf 1664//1664 2594//2594 2739//2739\nf 2723//2723 3016//3016 1753//1753\nf 4253//4253 2483//2483 2716//2716\nf 597//597 1598//1598 1710//1710\nf 5007//5007 2848//2848 1559//1559\nf 1656//1656 1699//1699 2590//2590\nf 1889//1889 1738//1738 2774//2774\nf 2900//2900 1812//1812 2686//2686\nf 5649//5649 2477//2477 1850//1850\nf 1165//1165 6123//6123 1805//1805\nf 2552//2552 2482//2482 2484//2484\nf 1656//1656 2590//2590 2824//2824\nf 2802//2802 1951//1951 2020//2020\nf 1368//1368 5689//5689 1480//1480\nf 2874//2874 2437//2437 1761//1761\nf 2938//2938 5119//5119 1638//1638\nf 2695//2695 2697//2697 2455//2455\nf 1900//1900 2719//2719 2575//2575\nf 2685//2685 1777//1777 1824//1824\nf 2800//2800 5007//5007 2438//2438\nf 1576//1576 2560//2560 1990//1990\nf 1288//1288 2602//2602 2116//2116\nf 2458//2458 2623//2623 2679//2679\nf 2457//2457 5004//5004 2619//2619\nf 1864//1864 2489//2489 1832//1832\nf 2706//2706 2744//2744 2515//2515\nf 1713//1713 2575//2575 1545//1545\nf 4476//4476 1598//1598 597//597\nf 2975//2975 1625//1625 2925//2925\nf 5983//5983 3809//3809 3891//3891\nf 5013//5013 2646//2646 2583//2583\nf 1689//1689 2440//2440 3063//3063\nf 1781//1781 1658//1658 2485//2485\nf 1623//1623 2158//2158 4285//4285\nf 1699//1699 1656//1656 2469//2469\nf 2644//2644 2439//2439 1525//1525\nf 2616//2616 2916//2916 1799//1799\nf 2020//2020 2937//2937 2620//2620\nf 2570//2570 2598//2598 1730//1730\nf 2582//2582 2512//2512 2706//2706\nf 2810//2810 2892//2892 1527//1527\nf 3047//3047 1804//1804 2567//2567\nf 4993//4993 2784//2784 3257//3257\nf 1917//1917 2900//2900 2455//2455\nf 1708//1708 2403//2403 2927//2927\nf 1504//1504 2481//2481 2934//2934\nf 2671//2671 2514//2514 2774//2774\nf 1306//1306 1833//1833 1601//1601\nf 2895//2895 1766//1766 1865//1865\nf 1496//1496 2589//2589 2830//2830\nf 1912//1912 2502//2502 1966//1966\nf 2581//2581 2864//2864 1821//1821\nf 3433//3433 2684//2684 3072//3072\nf 2589//2589 2877//2877 2701//2701\nf 1680//1680 2772//2772 719//719\nf 1914//1914 1709//1709 1785//1785\nf 1775//1775 1670//1670 1795//1795\nf 2629//2629 1840//1840 1822//1822\nf 559//559 2190//2190 4267//4267\nf 622//622 2386//2386 2672//2672\nf 1864//1864 1971//1971 2475//2475\nf 2700//2700 2613//2613 2610//2610\nf 1973//1973 2583//2583 1822//1822\nf 2457//2457 2396//2396 1903//1903\nf 2156//2156 2710//2710 1565//1565\nf 2455//2455 2697//2697 1917//1917\nf 1752//1752 1866//1866 1640//1640\nf 2793//2793 1698//1698 1823//1823\nf 1901//1901 2917//2917 2462//2462\nf 2754//2754 5277//5277 5745//5745\nf 2985//2985 4271//4271 1787//1787\nf 5116//5116 2503//2503 2887//2887\nf 1821//1821 2864//2864 1837//1837\nf 2878//2878 5302//5302 3333//3333\nf 4211//4211 4267//4267 1695//1695\nf 1861//1861 2737//2737 1892//1892\nf 3150//3150 2796//2796 3187//3187\nf 1870//1870 5014//5014 2853//2853\nf 2907//2907 2542//2542 1960//1960\nf 4252//4252 2624//2624 2871//2871\nf 2736//2736 1964//1964 131//131\nf 3001//3001 2509//2509 2474//2474\nf 1859//1859 2907//2907 2160//2160\nf 1624//1624 1559//1559 2547//2547\nf 2507//2507 2501//2501 2470//2470\nf 5003//5003 2489//2489 2421//2421\nf 2420//2420 1954//1954 2622//2622\nf 2830//2830 1857//1857 2992//2992\nf 2778//2778 1970//1970 1422//1422\nf 1420//1420 2397//2397 3181//3181\nf 2812//2812 1603//1603 2487//2487\nf 2495//2495 2744//2744 2904//2904\nf 2569//2569 2403//2403 1299//1299\nf 5003//5003 1832//1832 2489//2489\nf 1530//1530 1812//1812 2900//2900\nf 3064//3064 1351//1351 4401//4401\nf 1861//1861 2398//2398 1577//1577\nf 2762//2762 1512//1512 2943//2943\nf 2451//2451 1823//1823 1901//1901\nf 1867//1867 1866//1866 2473//2473\nf 2937//2937 2921//2921 1975//1975\nf 5003//5003 2782//2782 1843//1843\nf 3460//3460 598//598 1543//1543\nf 1737//1737 1980//1980 1734//1734\nf 2735//2735 1620//1620 2768//2768\nf 622//622 2672//2672 1886//1886\nf 2776//2776 2867//2867 1623//1623\nf 1372//1372 607//607 1710//1710\nf 1721//1721 1723//1723 2601//2601\nf 2822//2822 3184//3184 1913//1913\nf 1976//1976 2583//2583 2646//2646\nf 2480//2480 2751//2751 2898//2898\nf 558//558 1948//1948 2429//2429\nf 2014//2014 2828//2828 1820//1820\nf 1930//1930 1659//1659 4221//4221\nf 2544//2544 2743//2743 2649//2649\nf 2517//2517 1737//1737 2611//2611\nf 1794//1794 2493//2493 1940//1940\nf 1815//1815 2605//2605 2757//2757\nf 4973//4973 4561//4561 4848//4848\nf 2496//2496 2640//2640 1948//1948\nf 1964//1964 2904//2904 2601//2601\nf 2572//2572 2760//2760 3052//3052\nf 1598//1598 1923//1923 1996//1996\nf 1525//1525 2439//2439 4211//4211\nf 1686//1686 2610//2610 1858//1858\nf 1239//1239 5334//5334 5023//5023\nf 2765//2765 2605//2605 1299//1299\nf 1372//1372 2698//2698 688//688\nf 2975//2975 2429//2429 1625//1625\nf 2873//2873 4348//4348 2852//2852\nf 5116//5116 2887//2887 1750//1750\nf 2556//2556 2938//2938 1638//1638\nf 1801//1801 5151//5151 1603//1603\nf 1786//1786 1737//1737 2517//2517\nf 1542//1542 1674//1674 2715//2715\nf 2233//2233 4037//4037 2092//2092\nf 1597//1597 1590//1590 2469//2469\nf 2456//2456 2509//2509 3001//3001\nf 2493//2493 2476//2476 1611//1611\nf 4285//4285 1682//1682 2776//2776\nf 2621//2621 2821//2821 2512//2512\nf 2496//2496 1948//1948 464//464\nf 1740//1740 1614//1614 1545//1545\nf 1526//1526 1545//1545 1614//1614\nf 1334//1334 2665//2665 4458//4458\nf 5119//5119 2854//2854 1638//1638\nf 3402//3402 2498//2498 2628//2628\nf 2640//2640 1928//1928 2653//2653\nf 2478//2478 2858//2858 2617//2617\nf 1640//1640 2415//2415 2633//2633\nf 2658//2658 1905//1905 2633//2633\nf 2435//2435 1836//1836 2617//2617\nf 1670//1670 1727//1727 2393//2393\nf 1717//1717 1851//1851 1965//1965\nf 1821//1821 1837//1837 3443//3443\nf 1749//1749 2804//2804 3184//3184\nf 1921//1921 1896//1896 2794//2794\nf 1981//1981 2931//2931 3059//3059\nf 3009//3009 2965//2965 2828//2828\nf 1382//1382 2624//2624 3058//3058\nf 1832//1832 1775//1775 1864//1864\nf 2894//2894 2544//2544 2699//2699\nf 1863//1863 2020//2020 1961//1961\nf 1659//1659 1930//1930 1855//1855\nf 2488//2488 3129//3129 1895//1895\nf 1598//1598 1996//1996 1710//1710\nf 1944//1944 3063//3063 2440//2440\nf 2428//2428 1946//1946 1908//1908\nf 1796//1796 131//131 1910//1910\nf 2734//2734 1707//1707 2520//2520\nf 1981//1981 1699//1699 2469//2469\nf 2403//2403 2523//2523 3051//3051\nf 2758//2758 1546//1546 2647//2647\nf 1957//1957 2699//2699 1667//1667\nf 5259//5259 2593//2593 1140//1140\nf 1977//1977 1925//1925 1959//1959\nf 2659//2659 1672//1672 1939//1939\nf 1862//1862 2670//2670 2898//2898\nf 1797//1797 1962//1962 1858//1858\nf 3133//3133 2980//2980 575//575\nf 2480//2480 2898//2898 1709//1709\nf 1690//1690 2759//2759 2610//2610\nf 2877//2877 3053//3053 2420//2420\nf 2660//2660 5066//5066 2981//2981\nf 2012//2012 2797//2797 5575//5575\nf 2862//2862 1833//1833 2548//2548\nf 2426//2426 1902//1902 758//758\nf 1995//1995 2980//2980 2824//2824\nf 2506//2506 2917//2917 4625//4625\nf 4252//4252 2931//2931 4282//4282\nf 1784//1784 2540//2540 1899//1899\nf 1503//1503 2476//2476 2881//2881\nf 1954//1954 2715//2715 2622//2622\nf 5163//5163 1878//1878 4860//4860\nf 4198//4198 4169//4169 947//947\nf 2611//2611 1915//1915 2461//2461\nf 2655//2655 3009//3009 2553//2553\nf 721//721 3758//3758 1306//1306\nf 2669//2669 2840//2840 2673//2673\nf 1734//1734 2582//2582 2611//2611\nf 1635//1635 2520//2520 2621//2621\nf 2472//2472 2586//2586 2844//2844\nf 4818//4818 2698//2698 2806//2806\nf 1795//1795 1971//1971 1864//1864\nf 2741//2741 2711//2711 3904//3904\nf 1774//1774 2734//2734 1870//1870\nf 3001//3001 2448//2448 3173//3173\nf 2791//2791 2720//2720 1695//1695\nf 4561//4561 93//93 4577//4577\nf 2942//2942 2461//2461 1915//1915\nf 4221//4221 3057//3057 1352//1352\nf 4582//4582 2564//2564 1806//1806\nf 3312//3312 2607//2607 3482//3482\nf 1752//1752 1640//1640 2585//2585\nf 1709//1709 2898//2898 1785//1785\nf 4598//4598 2836//2836 68//68\nf 3717//3717 1853//1853 4025//4025\nf 1646//1646 1874//1874 2635//2635\nf 2191//2191 2703//2703 1727//1727\nf 2950//2950 1938//1938 2565//2565\nf 1422//1422 2620//2620 1975//1975\nf 1830//1830 2546//2546 2601//2601\nf 1717//1717 1858//1858 1962//1962\nf 2014//2014 2553//2553 3009//3009\nf 3453//3453 1825//1825 5026//5026\nf 1684//1684 2488//2488 2753//2753\nf 1515//1515 2491//2491 2386//2386\nf 3059//3059 2658//2658 2633//2633\nf 2864//2864 2470//2470 5433//5433\nf 2582//2582 2645//2645 1915//1915\nf 2805//2805 1804//1804 2998//2998\nf 1757//1757 1781//1781 2067//2067\nf 2938//2938 3194//3194 1649//1649\nf 2617//2617 1971//1971 2478//2478\nf 2594//2594 1611//1611 2801//2801\nf 1733//1733 1873//1873 1960//1960\nf 1959//1959 2587//2587 2766//2766\nf 1884//1884 2731//2731 2700//2700\nf 2759//2759 1797//1797 1858//1858\nf 1842//1842 2720//2720 1857//1857\nf 1645//1645 2495//2495 1856//1856\nf 2570//2570 2319//2319 2598//2598\nf 1525//1525 4211//4211 1842//1842\nf 1980//1980 2712//2712 2674//2674\nf 1935//1935 2691//2691 2478//2478\nf 1978//1978 2957//2957 2574//2574\nf 4348//4348 2643//2643 2852//2852\nf 2856//2856 2397//2397 2438//2438\nf 1526//1526 1614//1614 1708//1708\nf 1938//1938 1760//1760 2565//2565\nf 558//558 464//464 1948//1948\nf 2935//2935 1725//1725 2192//2192\nf 2393//2393 1935//1935 1670//1670\nf 1911//1911 2409//2409 3752//3752\nf 2679//2679 2956//2956 2967//2967\nf 2376//2376 1784//1784 2567//2567\nf 4284//4284 1623//1623 608//608\nf 688//688 2698//2698 4401//4401\nf 2735//2735 2545//2545 2560//2560\nf 2948//2948 2683//2683 2663//2663\nf 2687//2687 2319//2319 2570//2570\nf 1900//1900 2575//2575 2492//2492\nf 4191//4191 4069//4069 1512//1512\nf 1977//1977 2843//2843 1925//1925\nf 2757//2757 2765//2765 1925//1925\nf 2701//2701 1525//1525 1731//1731\nf 3744//3744 2854//2854 4692//4692\nf 2411//2411 1909//1909 4559//4559\nf 553//553 1848//1848 2854//2854\nf 2190//2190 2779//2779 1695//1695\nf 4204//4204 4692//4692 2678//2678\nf 87//87 2803//2803 2892//2892\nf 2980//2980 2627//2627 4502//4502\nf 3752//3752 1293//1293 1911//1911\nf 2741//2741 3904//3904 1898//1898\nf 2687//2687 1940//1940 1920//1920\nf 4323//4323 672//672 1829//1829\nf 1746//1746 2766//2766 2587//2587\nf 1973//1973 2514//2514 1916//1916\nf 1893//1893 2319//2319 2649//2649\nf 1526//1526 2711//2711 1713//1713\nf 1887//1887 1924//1924 2844//2844\nf 1568//1568 2647//2647 3181//3181\nf 2796//2796 5330//5330 5889//5889\nf 3375//3375 1929//1929 2651//2651\nf 2946//2946 1359//1359 1029//1029\nf 2806//2806 3040//3040 4818//4818\nf 1597//1597 2469//2469 1656//1656\nf 2656//2656 2474//2474 2509//2509\nf 2968//2968 2874//2874 1867//1867\nf 1615//1615 2825//2825 1894//1894\nf 2518//2518 2535//2535 2693//2693\nf 1742//1742 3053//3053 1496//1496\nf 1963//1963 1893//1893 2743//2743\nf 1817//1817 2614//2614 4466//4466\nf 2760//2760 2572//2572 1405//1405\nf 2724//2724 2892//2892 2803//2803\nf 1650//1650 1822//1822 1976//1976\nf 1854//1854 2613//2613 1658//1658\nf 1935//1935 2393//2393 2691//2691\nf 2506//2506 2454//2454 2450//2450\nf 1681//1681 2968//2968 2626//2626\nf 3048//3048 2482//2482 2552//2552\nf 1905//1905 2585//2585 2633//2633\nf 2878//2878 2882//2882 5302//5302\nf 3402//3402 2459//2459 3375//3375\nf 1792//1792 2012//2012 5575//5575\nf 1827//1827 2865//2865 1893//1893\nf 1629//1629 2558//2558 2975//2975\nf 1830//1830 2601//2601 2904//2904\nf 2978//2978 3574//3574 694//694\nf 1352//1352 2159//2159 1060//1060\nf 2463//2463 2691//2691 2393//2393\nf 5426//5426 3328//3328 5828//5828\nf 2703//2703 2630//2630 1727//1727\nf 4290//4290 3784//3784 1796//1796\nf 1577//1577 1839//1839 3173//3173\nf 2674//2674 1734//1734 1980//1980\nf 2934//2934 2908//2908 1504//1504\nf 2706//2706 2515//2515 2645//2645\nf 2778//2778 2396//2396 1970//1970\nf 3060//3060 1760//1760 1938//1938\nf 2589//2589 1496//1496 3053//3053\nf 2641//2641 1841//1841 2999//2999\nf 2629//2629 2421//2421 1840//1840\nf 1677//1677 2880//2880 1895//1895\nf 2472//2472 1645//1645 2586//2586\nf 2640//2640 2910//2910 1928//1928\nf 2355//2355 2448//2448 2410//2410\nf 2825//2825 2723//2723 1894//1894\nf 2545//2545 2771//2771 2722//2722\nf 2907//2907 1960//1960 2604//2604\nf 1795//1795 1864//1864 1775//1775\nf 2937//2937 2020//2020 1951//1951\nf 1789//1789 1809//1809 1787//1787\nf 2747//2747 1704//1704 2556//2556\nf 2492//2492 1898//1898 4280//4280\nf 2634//2634 1405//1405 2686//2686\nf 2580//2580 1920//1920 1940//1940\nf 2821//2821 2621//2621 1955//1955\nf 2739//2739 2801//2801 2663//2663\nf 1778//1778 1955//1955 1616//1616\nf 2926//2926 1420//1420 3181//3181\nf 2653//2653 2850//2850 2661//2661\nf 1610//1610 1504//1504 1890//1890\nf 2652//2652 2912//2912 3047//3047\nf 1670//1670 1935//1935 1795//1795\nf 2011//2011 2724//2724 2803//2803\nf 1503//1503 2881//2881 2713//2713\nf 1821//1821 3443//3443 3136//3136\nf 2606//2606 2927//2927 4138//4138\nf 1936//1936 3156//3156 4366//4366\nf 1938//1938 2950//2950 2417//2417\nf 1882//1882 1510//1510 1620//1620\nf 4219//4219 2899//2899 608//608\nf 2458//2458 1895//1895 2880//2880\nf 4993//4993 4070//4070 2784//2784\nf 2760//2760 1781//1781 2485//2485\nf 2435//2435 1892//1892 1807//1807\nf 2806//2806 1710//1710 1996//1996\nf 1737//1737 1768//1768 1980//1980\nf 2629//2629 1822//1822 1650//1650\nf 2942//2942 2844//2844 1924//1924\nf 4339//4339 4204//4204 2775//2775\nf 5642//5642 5709//5709 1315//1315\nf 1563//1563 1848//1848 689//689\nf 4221//4221 2880//2880 3444//3444\nf 2355//2355 1861//1861 1577//1577\nf 2540//2540 1903//1903 2396//2396\nf 4406//4406 2660//2660 5021//5021\nf 2967//2967 2810//2810 2753//2753\nf 3555//3555 3056//3056 589//589\nf 2957//2957 2603//2603 1664//1664\nf 2687//2687 2649//2649 2319//2319\nf 3303//3303 2477//2477 5419//5419\nf 1862//1862 2751//2751 1730//1730\nf 3016//3016 1672//1672 2446//2446\nf 1826//1826 2877//2877 2622//2622\nf 3221//3221 2535//2535 4322//4322\nf 2857//2857 2894//2894 2699//2699\nf 1646//1646 1576//1576 2895//2895\nf 1814//1814 2562//2562 1966//1966\nf 1826//1826 2460//2460 2518//2518\nf 1421//1421 2639//2639 5754//5754\nf 2768//2768 2463//2463 2393//2393\nf 3047//3047 2567//2567 1784//1784\nf 5277//5277 2754//2754 1451//1451\nf 2857//2857 1563//1563 1751//1751\nf 4274//4274 1952//1952 3925//3925\nf 1959//1959 2652//2652 1977//1977\nf 1742//1742 2609//2609 3053//3053\nf 1851//1851 1657//1657 2842//2842\nf 2931//2931 1981//1981 1590//1590\nf 4848//4848 4829//4829 4973//4973\nf 2829//2829 2762//2762 1814//1814\nf 2629//2629 2782//2782 2421//2421\nf 2487//2487 1603//1603 2554//2554\nf 2450//2450 1860//1860 2462//2462\nf 1766//1766 2584//2584 1865//1865\nf 2191//2191 1859//1859 2160//2160\nf 2546//2546 1721//1721 2601//2601\nf 1678//1678 1612//1612 1877//1877\nf 1958//1958 1847//1847 2983//2983\nf 5795//5795 2639//2639 1165//1165\nf 2594//2594 1667//1667 2580//2580\nf 3992//3992 4006//4006 3805//3805\nf 1930//1930 2853//2853 5014//5014\nf 2507//2507 1629//1629 1868//1868\nf 1530//1530 1917//1917 2534//2534\nf 1721//1721 1875//1875 1723//1723\nf 2736//2736 1934//1934 1856//1856\nf 2534//2534 2449//2449 1997//1997\nf 1988//1988 1754//1754 608//608\nf 1828//1828 2670//2670 1612//1612\nf 2732//2732 1865//1865 2584//2584\nf 1955//1955 2520//2520 2869//2869\nf 2555//2555 5745//5745 5330//5330\nf 1896//1896 1681//1681 2347//2347\nf 5445//5445 5878//5878 2664//2664\nf 2622//2622 2460//2460 1826//1826\nf 1959//1959 1740//1740 2587//2587\nf 1624//1624 1503//1503 2713//2713\nf 3184//3184 2822//2822 2563//2563\nf 1674//1674 2460//2460 2715//2715\nf 5004//5004 2474//2474 2631//2631\nf 2437//2437 2874//2874 2722//2722\nf 1615//1615 1699//1699 1981//1981\nf 1576//1576 1990//1990 2895//2895\nf 1879//1879 1997//1997 1922//1922\nf 4304//4304 1792//1792 4070//4070\nf 1729//1729 2571//2571 2465//2465\nf 1629//1629 2581//2581 2849//2849\nf 1299//1299 1708//1708 1614//1614\nf 3047//3047 1784//1784 2642//2642\nf 2430//2430 5116//5116 2688//2688\nf 2759//2759 1858//1858 2610//2610\nf 1722//1722 1840//1840 2421//2421\nf 1875//1875 3022//3022 1910//1910\nf 1725//1725 2935//2935 2674//2674\nf 2738//2738 2587//2587 1740//1740\nf 3022//3022 1875//1875 1743//1743\nf 2765//2765 2757//2757 2605//2605\nf 2550//2550 2557//2557 2731//2731\nf 2865//2865 2598//2598 2319//2319\nf 1645//1645 2515//2515 2495//2495\nf 2736//2736 2530//2530 1934//1934\nf 5878//5878 5445//5445 2607//2607\nf 1383//1383 1724//1724 2343//2343\nf 1200//1200 3440//3440 651//651\nf 3175//3175 2777//2777 1363//1363\nf 1512//1512 2762//2762 3085//3085\nf 1801//1801 2887//2887 2503//2503\nf 689//689 652//652 1563//1563\nf 1778//1778 2744//2744 2821//2821\nf 1803//1803 2873//2873 2714//2714\nf 1107//1107 3513//3513 3998//3998\nf 5655//5655 2654//2654 5328//5328\nf 2998//2998 1732//1732 2539//2539\nf 2961//2961 2448//2448 3001//3001\nf 1635//1635 2621//2621 2192//2192\nf 6029//6029 2593//2593 3544//3544\nf 1657//1657 1783//1783 1741//1741\nf 1890//1890 1553//1553 1886//1886\nf 212//212 1878//1878 200//200\nf 2651//2651 2850//2850 1928//1928\nf 2487//2487 1946//1946 2428//2428\nf 2703//2703 2768//2768 2630//2630\nf 1847//1847 2451//2451 1885//1885\nf 2457//2457 2619//2619 2396//2396\nf 2733//2733 5119//5119 1649//1649\nf 1811//1811 2482//2482 2573//2573\nf 3574//3574 5010//5010 2965//2965\nf 1749//1749 3184//3184 1879//1879\nf 2825//2825 1615//1615 2983//2983\nf 1665//1665 292//292 5056//5056\nf 1186//1186 3222//3222 2860//2860\nf 2935//2935 2582//2582 1734//1734\nf 3016//3016 2446//2446 2714//2714\nf 5014//5014 1855//1855 1930//1930\nf 4810//4810 1601//1601 1657//1657\nf 1787//1787 2994//2994 1789//1789\nf 2457//2457 1903//1903 1941//1941\nf 2483//2483 2743//2743 2544//2544\nf 2994//2994 1787//1787 4271//4271\nf 1690//1690 2610//2610 2613//2613\nf 2765//2765 1299//1299 1614//1614\nf 1852//1852 1866//1866 2293//2293\nf 1750//1750 2761//2761 2655//2655\nf 1684//1684 2510//2510 2797//2797\nf 2530//2530 2736//2736 131//131\nf 2830//2830 1731//1731 1857//1857\nf 2821//2821 1955//1955 1778//1778\nf 2857//2857 1957//1957 2747//2747\nf 1862//1862 1612//1612 2670//2670\nf 1378//1378 5300//5300 3316//3316\nf 3474//3474 1543//1543 598//598\nf 2651//2651 1928//1928 2498//2498\nf 3667//3667 2705//2705 3758//3758\nf 2905//2905 2399//2399 1639//1639\nf 1785//1785 3548//3548 1914//1914\nf 1801//1801 2503//2503 5151//5151\nf 3246//3246 2792//2792 3150//3150\nf 2514//2514 2671//2671 1916//1916\nf 2552//2552 2435//2435 2617//2617\nf 4625//4625 1917//1917 2697//2697\nf 1512//1512 4069//4069 1639//1639\nf 2067//2067 2604//2604 1960//1960\nf 3445//3445 1595//1595 5073//5073\nf 2908//2908 2867//2867 1504//1504\nf 2797//2797 2012//2012 4283//4283\nf 1797//1797 2014//2014 1994//1994\nf 3512//3512 1349//1349 4414//4414\nf 2577//2577 2946//2946 1029//1029\nf 1672//1672 3016//3016 2723//2723\nf 3051//3051 2927//2927 2403//2403\nf 3267//3267 4150//4150 3744//3744\nf 2385//2385 1422//1422 1970//1970\nf 1902//1902 2547//2547 2780//2780\nf 1603//1603 1757//1757 2554//2554\nf 2510//2510 2525//2525 2702//2702\nf 2926//2926 1786//1786 4585//4585\nf 1625//1625 2429//2429 1948//1948\nf 2857//2857 2556//2556 1563//1563\nf 2495//2495 2904//2904 1856//1856\nf 2738//2738 1740//1740 1545//1545\nf 2067//2067 1873//1873 2554//2554\nf 3300//3300 1389//1389 3225//3225\nf 2471//2471 1820//1820 1942//1942\nf 1527//1527 2525//2525 2753//2753\nf 1944//1944 1966//1966 2562//2562\nf 1824//1824 1965//1965 2685//2685\nf 1510//1510 3048//3048 2691//2691\nf 2931//2931 4252//4252 2658//2658\nf 2603//2603 2747//2747 1957//1957\nf 1722//1722 1813//1813 1889//1889\nf 2594//2594 1957//1957 1667//1667\nf 1727//1727 1670//1670 1859//1859\nf 2846//2846 2519//2519 3752//3752\nf 1656//1656 2824//2824 3133//3133\nf 1813//1813 2737//2737 1738//1738\nf 4810//4810 1942//1942 1306//1306\nf 2723//2723 1753//1753 2590//2590\nf 1896//1896 1921//1921 1681//1681\nf 1859//1859 1670//1670 2907//2907\nf 4304//4304 2710//2710 4283//4283\nf 1672//1672 2723//2723 2825//2825\nf 2627//2627 2852//2852 2643//2643\nf 2802//2802 1863//1863 2625//2625\nf 100//100 2445//2445 4958//4958\nf 4676//4676 1815//1815 1951//1951\nf 3129//3129 1684//1684 598//598\nf 1894//1894 2590//2590 1699//1699\nf 1498//1498 1604//1604 2881//2881\nf 2695//2695 2685//2685 1742//1742\nf 1576//1576 1882//1882 2560//2560\nf 2881//2881 2947//2947 1498//1498\nf 2347//2347 2502//2502 1896//1896\nf 2757//2757 1925//1925 2843//2843\nf 2478//2478 2691//2691 2858//2858\nf 1940//1940 2687//2687 1794//1794\nf 2454//2454 2506//2506 2416//2416\nf 5983//5983 2568//2568 2233//2233\nf 1656//1656 3133//3133 1597//1597\nf 1913//1913 3184//3184 2804//2804\nf 1884//1884 1824//1824 2731//2731\nf 2689//2689 2343//2343 1724//1724\nf 2355//2355 1738//1738 2737//2737\nf 2695//2695 1496//1496 2697//2697\nf 1695//1695 1842//1842 4211//4211\nf 3130//3130 1770//1770 1555//1555\nf 3053//3053 2877//2877 2589//2589\nf 2606//2606 3551//3551 2711//2711\nf 2748//2748 1725//1725 1574//1574\nf 1659//1659 2623//2623 2458//2458\nf 2737//2737 2595//2595 1807//1807\nf 1405//1405 2634//2634 2160//2160\nf 1973//1973 5013//5013 2583//2583\nf 2656//2656 2764//2764 2474//2474\nf 2426//2426 2547//2547 1902//1902\nf 2558//2558 589//589 2975//2975\nf 1342//1342 1798//1798 5648//5648\nf 1960//1960 2542//2542 1733//1733\nf 1060//1060 2772//2772 2853//2853\nf 1680//1680 1029//1029 1774//1774\nf 2931//2931 2658//2658 3059//3059\nf 1794//1794 2947//2947 2493//2493\nf 4138//4138 3551//3551 2606//2606\nf 2679//2679 1895//1895 2458//2458\nf 2487//2487 1767//1767 1946//1946\nf 1863//1863 1934//1934 2530//2530\nf 4466//4466 2614//2614 1947//1947\nf 2459//2459 1929//1929 3375//3375\nf 1657//1657 1741//1741 2842//2842\nf 1914//1914 1600//1600 1568//1568\nf 2948//2948 2663//2663 1729//1729\nf 2641//2641 2516//2516 1841//1841\nf 2611//2611 2461//2461 2517//2517\nf 4611//4611 2717//2717 1491//1491\nf 1899//1899 1975//1975 2615//2615\nf 1854//1854 1690//1690 2613//2613\nf 2670//2670 1828//1828 1785//1785\nf 2896//2896 2559//2559 3126//3126\nf 1498//1498 2751//2751 2480//2480\nf 1832//1832 1733//1733 1775//1775\nf 2456//2456 3001//3001 3173//3173\nf 1749//1749 2447//2447 2804//2804\nf 2938//2938 1649//1649 5119//5119\nf 2880//2880 1659//1659 2458//2458\nf 1752//1752 1809//1809 2473//2473\nf 2450//2450 2720//2720 2791//2791\nf 1809//1809 2626//2626 2473//2473\nf 2922//2922 2997//2997 2770//2770\nf 2409//2409 2496//2496 4192//4192\nf 3322//3322 1363//1363 2777//2777\nf 1611//1611 1940//1940 2493//2493\nf 4261//4261 2577//2577 1214//1214\nf 5066//5066 3221//3221 2981//2981\nf 3173//3173 4585//4585 2456//2456\nf 2520//2520 1635//1635 2734//2734\nf 2771//2771 2545//2545 2735//2735\nf 2557//2557 2900//2900 2572//2572\nf 2487//2487 1817//1817 2812//2812\nf 3998//3998 1833//1833 3758//3758\nf 2748//2748 5014//5014 1881//1881\nf 684//684 5066//5066 3511//3511\nf 1577//1577 3173//3173 2448//2448\nf 2850//2850 2651//2651 5718//5718\nf 3622//3622 2483//2483 4253//4253\nf 2943//2943 1512//1512 1639//1639\nf 2160//2160 2604//2604 2760//2760\nf 1829//1829 3257//3257 1612//1612\nf 1856//1856 5117//5117 1645//1645\nf 1293//1293 694//694 2628//2628\nf 621//621 2343//2343 2689//2689\nf 1890//1890 1886//1886 1610//1610\nf 2825//2825 2983//2983 1939//1939\nf 2480//2480 1604//1604 1498//1498\nf 2732//2732 2574//2574 2683//2683\nf 1757//1757 5151//5151 1658//1658\nf 2563//2563 4932//4932 3184//3184\nf 2472//2472 2942//2942 2515//2515\nf 4221//4221 1060//1060 1930//1930\nf 4831//4831 2836//2836 3204//3204\nf 394//394 3461//3461 3222//3222\nf 2925//2925 1625//1625 2661//2661\nf 1792//1792 1663//1663 2784//2784\nf 2911//2911 4219//4219 4261//4261\nf 3667//3667 2717//2717 1499//1499\nf 3034//3034 1602//1602 2911//2911\nf 1663//1663 2770//2770 2997//2997\nf 2997//2997 1785//1785 1828//1828\nf 3440//3440 2950//2950 131//131\nf 2483//2483 1963//1963 2743//2743\nf 2489//2489 1864//1864 2475//2475\nf 1946//1946 1843//1843 1908//1908\nf 1809//1809 1789//1789 2626//2626\nf 4676//4676 2565//2565 1760//1760\nf 1803//1803 2690//2690 2779//2779\nf 2111//2111 5334//5334 3351//3351\nf 3706//3706 3891//3891 3837//3837\nf 1898//1898 2575//2575 1713//1713\nf 2782//2782 1908//1908 1843//1843\nf 1512//1512 3085//3085 4191//4191\nf 493//493 4414//4414 1349//1349\nf 2670//2670 1785//1785 2898//2898\nf 6029//6029 5328//5328 3394//3394\nf 1820//1820 2471//2471 1994//1994\nf 2530//2530 2625//2625 1863//1863\nf 2111//2111 351//351 4665//4665\nf 4138//4138 3225//3225 748//748\nf 2559//2559 2539//2539 5073//5073\nf 3784//3784 712//712 3440//3440\nf 2797//2797 4283//4283 2001//2001\nf 1965//1965 2842//2842 2609//2609\nf 2454//2454 2992//2992 1857//1857\nf 2588//2588 1761//1761 2437//2437\nf 2470//2470 2864//2864 2581//2581\nf 1832//1832 2694//2694 1733//1733\nf 1867//1867 1761//1761 2293//2293\nf 2539//2539 2559//2559 1745//1745\nf 589//589 2558//2558 3555//3555\nf 1777//1777 2455//2455 2550//2550\nf 1723//1723 1910//1910 131//131\nf 1865//1865 1874//1874 1646//1646\nf 1797//1797 2553//2553 2014//2014\nf 3022//3022 1743//1743 2672//2672\nf 2479//2479 2293//2293 1761//1761\nf 1948//1948 2640//2640 1625//1625\nf 1886//1886 2672//2672 1743//1743\nf 2895//2895 1865//1865 1646//1646\nf 3257//3257 2966//2966 1828//1828\nf 2875//2875 2863//2863 2752//2752\nf 2999//2999 1808//1808 2641//2641\nf 1803//1803 2779//2779 2190//2190\nf 1890//1890 1504//1504 2867//2867\nf 1659//1659 1855//1855 2623//2623\nf 5010//5010 1820//1820 2828//2828\nf 2796//2796 5889//5889 1177//1177\nf 1836//1836 2475//2475 1971//1971\nf 2686//2686 2563//2563 2634//2634\nf 2917//2917 1901//1901 1823//1823\nf 1576//1576 2573//2573 1882//1882\nf 2539//2539 2516//2516 2998//2998\nf 1530//1530 2534//2534 4932//4932\nf 2690//2690 2446//2446 2659//2659\nf 1698//1698 1679//1679 1922//1922\nf 1887//1887 2631//2631 1924//1924\nf 598//598 621//621 3129//3129\nf 2752//2752 1799//1799 2875//2875\nf 3134//3134 4323//4323 1678//1678\nf 2447//2447 1749//1749 2588//2588\nf 4290//4290 2672//2672 2386//2386\nf 2492//2492 4280//4280 3827//3827\nf 1842//1842 1731//1731 1525//1525\nf 2975//2975 2925//2925 1629//1629\nf 2674//2674 1574//1574 1725//1725\nf 2722//2722 2874//2874 1921//1921\nf 3047//3047 2912//2912 1804//1804\nf 1877//1877 1612//1612 1862//1862\nf 3411//3411 2658//2658 4252//4252\nf 1828//1828 1612//1612 3257//3257\nf 2465//2465 2618//2618 2635//2635\nf 2678//2678 2775//2775 4204//4204\nf 2550//2550 2455//2455 2900//2900\nf 2595//2595 2737//2737 1813//1813\nf 2713//2713 2881//2881 1604//1604\nf 2496//2496 2409//2409 2640//2640\nf 1931//1931 2999//2999 2408//2408\nf 1689//1689 3063//3063 2943//2943\nf 1635//1635 2192//2192 1881//1881\nf 1623//1623 1988//1988 608//608\nf 1926//1926 2385//2385 2586//2586\nf 5116//5116 2430//2430 2503//2503\nf 3553//3553 3133//3133 575//575\nf 5014//5014 2748//2748 1855//1855\nf 2701//2701 2866//2866 2644//2644\nf 4401//4401 1617//1617 3513//3513\nf 3225//3225 4138//4138 2927//2927\nf 1646//1646 2635//2635 2618//2618\nf 1510//1510 2691//2691 2463//2463\nf 2772//2772 1680//1680 1774//1774\nf 2461//2461 1924//1924 2764//2764\nf 2855//2855 719//719 3455//3455\nf 2534//2534 4625//4625 2449//2449\nf 3052//3052 2700//2700 2731//2731\nf 2415//2415 3059//3059 2633//2633\nf 2720//2720 2450//2450 2454//2454\nf 1995//1995 2824//2824 1753//1753\nf 2430//2430 1854//1854 2503//2503\nf 1947//1947 2614//2614 1841//1841\nf 2773//2773 2502//2502 1766//1766\nf 1577//1577 2398//2398 1839//1839\nf 2751//2751 1498//1498 2947//2947\nf 4598//4598 202//202 2836//2836\nf 2647//2647 2011//2011 2803//2803\nf 1898//1898 1713//1713 2741//2741\nf 2797//2797 2510//2510 5575//5575\nf 2506//2506 2462//2462 2917//2917\nf 3574//3574 962//962 5010//5010\nf 2642//2642 1784//1784 1899//1899\nf 2602//2602 2607//2607 5445//5445\nf 4401//4401 2412//2412 3064//3064\nf 2649//2649 2743//2743 1893//1893\nf 131//131 2625//2625 2530//2530\nf 1829//1829 672//672 3257//3257\nf 2862//2862 1617//1617 4818//4818\nf 2594//2594 1664//1664 1957//1957\nf 1885//1885 1901//1901 2010//2010\nf 2895//2895 2794//2794 2773//2773\nf 1343//1343 3316//3316 5374//5374\nf 2761//2761 5718//5718 2655//2655\nf 1966//1966 1944//1944 1912//1912\nf 2507//2507 2870//2870 2501//2501\nf 2465//2465 2635//2635 2948//2948\nf 1914//1914 2856//2856 1709//1709\nf 1725//1725 1881//1881 2192//2192\nf 1754//1754 2946//2946 2577//2577\nf 2420//2420 2842//2842 1954//1954\nf 5014//5014 1870//1870 1881//1881\nf 1830//1830 1616//1616 2546//2546\nf 1722//1722 2595//2595 1813//1813\nf 2671//2671 2774//2774 2410//2410\nf 1601//1601 1833//1833 1783//1783\nf 2683//2683 1874//1874 2732//2732\nf 2852//2852 2714//2714 2873//2873\nf 4893//4893 200//200 4721//4721\nf 1107//1107 2412//2412 3513//3513\nf 2675//2675 3060//3060 1200//1200\nf 2895//2895 2773//2773 1766//1766\nf 4829//4829 2721//2721 4901//4901\nf 2739//2739 2683//2683 2574//2574\nf 1962//1962 1797//1797 1994//1994\nf 4218//4218 1590//1590 1597//1597\nf 2529//2529 2896//2896 3126//3126\nf 1961//1961 2620//2620 1926//1926\nf 1873//1873 1733//1733 2694//2694\nf 2947//2947 1794//1794 1730//1730\nf 3009//3009 2655//2655 2459//2459\nf 2935//2935 2192//2192 2512//2512\nf 2801//2801 2845//2845 2663//2663\nf 1674//1674 3040//3040 2460//2460\nf 2627//2627 1995//1995 2852//2852\nf 3507//3507 2711//2711 3551//3551\nf 1660//1660 2643//2643 3423//3423\nf 2641//2641 2998//2998 2516//2516\nf 1681//1681 1921//1921 2968//2968\nf 2494//2494 2848//2848 2837//2837\nf 2611//2611 2582//2582 1915//1915\nf 3484//3484 1927//1927 5422//5422\nf 2116//2116 1573//1573 5717//5717\nf 1695//1695 2720//2720 1842//1842\nf 1814//1814 1789//1789 2829//2829\nf 1898//1898 2492//2492 2575//2575\nf 1796//1796 1910//1910 3022//3022\nf 2907//2907 2604//2604 2160//2160\nf 4993//4993 3393//3393 3161//3161\nf 2947//2947 2881//2881 2493//2493\nf 2539//2539 1745//1745 2516//2516\nf 2752//2752 1883//1883 2841//2841\nf 2644//2644 1525//1525 2701//2701\nf 1816//1816 1996//1996 1923//1923\nf 1734//1734 2674//2674 2935//2935\nf 2482//2482 1811//1811 2484//2484\nf 1768//1768 1737//1737 2926//2926\nf 2693//2693 2644//2644 2866//2866\nf 1680//1680 719//719 1214//1214\nf 2634//2634 2822//2822 2191//2191\nf 2560//2560 1620//1620 2735//2735\nf 2627//2627 2643//2643 4502//4502\nf 1862//1862 2898//2898 2751//2751\nf 1995//1995 3016//3016 2714//2714\nf 4676//4676 1951//1951 2565//2565\nf 2552//2552 2858//2858 3048//3048\nf 2804//2804 2486//2486 1913//1913\nf 3998//3998 3758//3758 2705//2705\nf 2408//2408 1841//1841 2614//2614\nf 2716//2716 2894//2894 1751//1751\nf 1863//1863 2802//2802 2020//2020\nf 1842//1842 1857//1857 1731//1731\nf 2552//2552 2484//2484 758//758\nf 1734//1734 2611//2611 1737//1737\nf 2517//2517 2656//2656 2509//2509\nf 2732//2732 1874//1874 1865//1865\nf 4142//4142 3134//3134 1827//1827\nf 2896//2896 2529//2529 2752//2752\nf 1844//1844 1822//1822 1840//1840\nf 1774//1774 1870//1870 2772//2772\nf 4218//4218 1597//1597 818//818\nf 1553//1553 4116//4116 1886//1886\nf 2722//2722 1990//1990 2545//2545\nf 3300//3300 1671//1671 4274//4274\nf 2648//2648 1916//1916 2671//2671\nf 1839//1839 2398//2398 2494//2494\nf 1595//1595 3126//3126 2559//2559\nf 1629//1629 2849//2849 2558//2558\nf 1978//1978 2584//2584 2427//2427\nf 3129//3129 621//621 1677//1677\nf 1902//1902 2780//2780 758//758\nf 2010//2010 2462//2462 1860//1860\nf 2111//2111 1502//1502 351//351\nf 1823//1823 1698//1698 1922//1922\nf 3225//3225 3051//3051 1671//1671\nf 1850//1850 5300//5300 3071//3071\nf 1616//1616 2869//2869 2979//2979\nf 1615//1615 1981//1981 3059//3059\nf 2355//2355 2410//2410 1738//1738\nf 4262//4262 2709//2709 5047//5047\nf 2859//2859 2591//2591 1293//1293\nf 5013//5013 1941//1941 1903//1903\nf 2943//2943 2399//2399 1689//1689\nf 2937//2937 1975//1975 2620//2620\nf 962//962 721//721 1942//1942\nf 2615//2615 2843//2843 1977//1977\nf 2671//2671 2410//2410 2961//2961\nf 1976//1976 1808//1808 1650//1650\nf 2803//2803 87//87 2758//2758\nf 1686//1686 1858//1858 1717//1717\nf 2778//2778 2540//2540 2396//2396\nf 3016//3016 1995//1995 1753//1753\nf 1816//1816 1923//1923 2518//2518\nf 2846//2846 3752//3752 4192//4192\nf 2876//2876 1789//1789 1814//1814\nf 3012//3012 1746//1746 3445//3445\nf 5411//5411 2555//2555 3030//3030\nf 2494//2494 2398//2398 2576//2576\nf 2523//2523 2403//2403 2569//2569\nf 2732//2732 1978//1978 2574//2574\nf 2647//2647 2803//2803 2758//2758\nf 2607//2607 2602//2602 3482//3482\nf 2523//2523 2569//2569 1760//1760\nf 2494//2494 2576//2576 2848//2848\nf 2805//2805 2998//2998 2641//2641\nf 1892//1892 2780//2780 1861//1861\nf 5028//5028 4271//4271 2985//2985\nf 1752//1752 2473//2473 1866//1866\nf 1674//1674 1542//1542 4818//4818\nf 5935//5935 5302//5302 1505//1505\nf 2355//2355 1577//1577 2448//2448\nf 2609//2609 2420//2420 3053//3053\nf 1778//1778 2904//2904 2744//2744\nf 2880//2880 1677//1677 3444//3444\nf 2857//2857 2747//2747 2556//2556\nf 2553//2553 1797//1797 2759//2759\nf 2917//2917 1823//1823 1922//1922\nf 2625//2625 2950//2950 2802//2802\nf 1862//1862 1730//1730 2598//2598\nf 2780//2780 2398//2398 1861//1861\nf 2479//2479 1958//1958 2293//2293\nf 2688//2688 2759//2759 1690//1690\nf 2775//2775 2905//2905 4339//4339\nf 2761//2761 1750//1750 2863//2863\nf 4559//4559 3156//3156 2500//2500\nf 2427//2427 1912//1912 1944//1944\nf 4553//4553 426//426 4866//4866\nf 5648//5648 2607//2607 6075//6075\nf 2678//2678 5119//5119 2733//2733\nf 2067//2067 1960//1960 1873//1873\nf 2001//2001 3474//3474 1684//1684\nf 2376//2376 2646//2646 5013//5013\nf 2753//2753 2510//2510 1684//1684\nf 3555//3555 2558//2558 2849//2849\nf 2722//2722 1921//1921 2794//2794\nf 3411//3411 1905//1905 2658//2658\nf 2805//2805 1808//1808 2533//2533\nf 2921//2921 1815//1815 2843//2843\nf 1801//1801 1603//1603 2812//2812\nf 4221//4221 1659//1659 2880//2880\nf 688//688 607//607 1372//1372\nf 1823//1823 2451//2451 2793//2793\nf 2523//2523 3060//3060 2675//2675\nf 2768//2768 1620//1620 2463//2463\nf 2773//2773 1896//1896 2502//2502\nf 5330//5330 5745//5745 3313//3313\nf 2594//2594 2801//2801 2739//2739\nf 3240//3240 5248//5248 3087//3087\nf 4192//4192 2496//2496 464//464\nf 292//292 1909//1909 2991//2991\nf 2801//2801 2476//2476 2845//2845\nf 3316//3316 5300//5300 5374//5374\nf 1505//1505 5302//5302 2882//2882\nf 1677//1677 1895//1895 3129//3129\nf 5003//5003 2421//2421 2782//2782\nf 2863//2863 2875//2875 2761//2761\nf 1830//1830 2904//2904 1778//1778\nf 1422//1422 2385//2385 1926//1926\nf 4290//4290 3022//3022 2672//2672\nf 2775//2775 2733//2733 2399//2399\nf 1889//1889 1844//1844 1840//1840\nf 2732//2732 2584//2584 1978//1978\nf 3474//3474 2893//2893 1194//1194\nf 1781//1781 2760//2760 2604//2604\nf 2857//2857 2699//2699 1957//1957\nf 2896//2896 1745//1745 2559//2559\nf 2800//2800 2837//2837 2848//2848\nf 3222//3222 1186//1186 1770//1770\nf 2719//2719 2864//2864 3445//3445\nf 2598//2598 2865//2865 1877//1877\nf 2588//2588 2479//2479 1761//1761\nf 2459//2459 2655//2655 1929//1929\nf 3194//3194 2750//2750 2440//2440\nf 1167//1167 2792//2792 1550//1550\nf 2466//2466 1876//1876 450//450\nf 2683//2683 2948//2948 1874//1874\nf 2908//2908 1359//1359 2946//2946\nf 2440//2440 2750//2750 2427//2427\nf 2910//2910 2498//2498 1928//1928\nf 1852//1852 2415//2415 1640//1640\nf 1804//1804 2805//2805 2533//2533\nf 2609//2609 1742//1742 2685//2685\nf 2876//2876 1814//1814 2347//2347\nf 1553//1553 2776//2776 1682//1682\nf 2714//2714 2852//2852 1995//1995\nf 553//553 689//689 1848//1848\nf 1515//1515 2386//2386 1069//1069\nf 2870//2870 2616//2616 1799//1799\nf 1912//1912 1766//1766 2502//2502\nf 560//560 1825//1825 3453//3453\nf 2921//2921 2937//2937 1815//1815\nf 1741//1741 1542//1542 2715//2715\nf 5300//5300 1850//1850 2477//2477\nf 5923//5923 1927//1927 1537//1537\nf 2535//2535 2518//2518 1923//1923\nf 2647//2647 1568//1568 1600//1600\nf 4283//4283 3468//3468 2001//2001\nf 2791//2791 2779//2779 1860//1860\nf 1576//1576 2618//2618 2573//2573\nf 5013//5013 1903//1903 2376//2376\nf 1294//1294 2425//2425 4322//4322\nf 1971//1971 1795//1795 2478//2478\nf 2824//2824 2980//2980 3133//3133\nf 1422//1422 1975//1975 2778//2778\nf 2415//2415 2983//2983 1615//1615\nf 1939//1939 1672//1672 2825//2825\nf 2687//2687 2570//2570 1794//1794\nf 2848//2848 2576//2576 2547//2547\nf 3248//3248 3211//3211 5689//5689\nf 3194//3194 1689//1689 1649//1649\nf 3052//3052 2485//2485 2700//2700\nf 2734//2734 1774//1774 1029//1029\nf 2529//2529 2501//2501 2870//2870\nf 1684//1684 3129//3129 2488//2488\nf 1383//1383 2343//2343 3460//3460\nf 2858//2858 2691//2691 3048//3048\nf 2594//2594 2580//2580 1611//1611\nf 1574//1574 2623//2623 2748//2748\nf 2751//2751 2947//2947 1730//1730\nf 2544//2544 2716//2716 2483//2483\nf 1912//1912 2427//2427 2584//2584\nf 1885//1885 2010//2010 2659//2659\nf 2631//2631 2764//2764 1924//1924\nf 815//815 2233//2233 4104//4104\nf 2599//2599 2652//2652 1959//1959\nf 2493//2493 2881//2881 2476//2476\nf 1881//1881 1870//1870 1635//1635\nf 1824//1824 1717//1717 1965//1965\nf 2319//2319 1893//1893 2865//2865\nf 1610//1610 1875//1875 1721//1721\nf 1990//1990 2794//2794 2895//2895\nf 4182//4182 2422//2422 1199//1199\nf 2560//2560 1882//1882 1620//1620\nf 962//962 2717//2717 721//721\nf 2720//2720 2454//2454 1857//1857\nf 2660//2660 2981//2981 2944//2944\nf 1926//1926 5117//5117 1961//1961\nf 2778//2778 1899//1899 2540//2540\nf 2956//2956 2903//2903 6120//6120\nf 1777//1777 2731//2731 1824//1824\nf 2869//2869 1616//1616 1955//1955\nf 1615//1615 3059//3059 2415//2415\nf 2409//2409 1911//1911 2910//2910\nf 1826//1826 2701//2701 2877//2877\nf 2917//2917 1922//1922 2449//2449\nf 5000//5000 3034//3034 588//588\nf 2876//2876 1681//1681 2626//2626\nf 1740//1740 1925//1925 2765//2765\nf 2677//2677 4829//4829 4848//4848\nf 2472//2472 2515//2515 1645//1645\nf 1751//1751 1563//1563 652//652\nf 3402//3402 2965//2965 2459//2459\nf 2873//2873 1803//1803 2190//2190\nf 5117//5117 1856//1856 1934//1934\nf 2856//2856 2438//2438 1709//1709\nf 2487//2487 2428//2428 1817//1817\nf 1852//1852 2293//2293 1958//1958\nf 1617//1617 2698//2698 4818//4818\nf 3351//3351 5334//5334 1239//1239\nf 2655//2655 2688//2688 5116//5116\nf 5445//5445 2116//2116 2602//2602\nf 2965//2965 3009//3009 2459//2459\nf 902//902 2568//2568 3706//3706\nf 2937//2937 1951//1951 1815//1815\nf 155//155 4582//4582 4449//4449\nf 2428//2428 1908//1908 2408//2408\nf 3064//3064 2025//2025 5016//5016\nf 2599//2599 2766//2766 3012//3012\nf 1710//1710 2806//2806 1372//1372\nf 2747//2747 2603//2603 1704//1704\nf 1923//1923 4322//4322 2535//2535\nf 1958//1958 2479//2479 2793//2793\nf 2764//2764 2631//2631 2474//2474\nf 1617//1617 2862//2862 2548//2548\nf 3296//3296 2519//2519 2846//2846\nf 5117//5117 1934//1934 1961//1961\nf 2484//2484 1776//1776 2426//2426\nf 1315//1315 5709//5709 3484//3484\nf 2634//2634 2563//2563 2822//2822\nf 5760//5760 2792//2792 1167//1167\nf 1979//1979 1817//1817 4466//4466\nf 2735//2735 2486//2486 2771//2771\nf 2645//2645 2582//2582 2706//2706\nf 1598//1598 4476//4476 1923//1923\nf 3445//3445 5073//5073 3012//3012\nf 3667//3667 1853//1853 2705//2705\nf 2862//2862 4818//4818 1542//1542\nf 1955//1955 2621//2621 2520//2520\nf 5334//5334 2709//2709 4320//4320\nf 2412//2412 1107//1107 2025//2025\nf 1851//1851 1717//1717 1962//1962\nf 2758//2758 1768//1768 1546//1546\nf 1887//1887 2844//2844 2385//2385\nf 1873//1873 2694//2694 1767//1767\nf 2621//2621 2512//2512 2192//2192\nf 3402//3402 2628//2628 694//694\nf 2626//2626 2968//2968 2473//2473\nf 2529//2529 2870//2870 1799//1799\nf 2735//2735 2768//2768 2486//2486\nf 1640//1640 2633//2633 2585//2585\nf 5774//5774 1805//1805 3524//3524\nf 4219//4219 2911//2911 2899//2899\nf 1776//1776 2484//2484 1811//1811\nf 2908//2908 2946//2946 1988//1988\nf 1964//1964 2601//2601 1723//1723\nf 1686//1686 1717//1717 1884//1884\nf 1708//1708 2927//2927 2606//2606\nf 1553//1553 1890//1890 2776//2776\nf 2629//2629 1650//1650 1931//1931\nf 1889//1889 1813//1813 1738//1738\nf 1973//1973 1941//1941 5013//5013\nf 1698//1698 2793//2793 2479//2479\nf 1690//1690 2430//2430 2688//2688\nf 1060//1060 2853//2853 1930//1930\nf 2712//2712 87//87 6120//6120\nf 2724//2724 1600//1600 3548//3548\nf 2463//2463 1620//1620 1510//1510\nf 5073//5073 2539//2539 1732//1732\nf 1980//1980 1768//1768 2712//2712\nf 1545//1545 1526//1526 1713//1713\nf 1721//1721 2546//2546 2481//2481\nf 1809//1809 1752//1752 1787//1787\nf 2942//2942 1915//1915 2645//2645\nf 2447//2447 2722//2722 2771//2771\nf 1530//1530 4932//4932 1812//1812\nf 2804//2804 2771//2771 2486//2486\nf 5433//5433 1595//1595 3445//3445\nf 2934//2934 1707//1707 1359//1359\nf 2625//2625 131//131 2950//2950\nf 1527//1527 2753//2753 2810//2810\nf 2427//2427 1944//1944 2440//2440\nf 2645//2645 2515//2515 2942//2942\nf 2659//2659 2010//2010 2690//2690\nf 1817//1817 2428//2428 2614//2614\nf 2722//2722 2794//2794 1990//1990\nf 3048//3048 2573//2573 2482//2482\nf 2737//2737 1807//1807 1892//1892\nf 2456//2456 1786//1786 2509//2509\nf 719//719 2772//2772 2159//2159\nf 2547//2547 1559//1559 2848//2848\nf 2994//2994 4271//4271 4321//4321\nf 2495//2495 2515//2515 2744//2744\nf 3464//3464 3322//3322 5411//5411\nf 2770//2770 2525//2525 1527//1527\nf 2800//2800 2397//2397 2837//2837\nf 1860//1860 2690//2690 2010//2010\nf 2829//2829 2994//2994 3085//3085\nf 2748//2748 1881//1881 1725//1725\nf 2802//2802 2565//2565 1951//1951\nf 2465//2465 2948//2948 1729//1729\nf 87//87 2810//2810 2956//2956\nf 549//549 4253//4253 2716//2716\nf 2753//2753 2488//2488 2967//2967\nf 1766//1766 1912//1912 2584//2584\nf 2420//2420 2622//2622 2877//2877\nf 3440//3440 2417//2417 2950//2950\nf 2447//2447 2437//2437 2722//2722\nf 5334//5334 4665//4665 2709//2709\nf 1730//1730 1794//1794 2570//2570\nf 1976//1976 2533//2533 1808//1808\nf 2555//2555 5411//5411 2754//2754\nf 200//200 4848//4848 4721//4721\nf 2700//2700 2610//2610 1686//1686\nf 1816//1816 3040//3040 1996//1996\nf 2870//2870 2507//2507 1868//1868\nf 2770//2770 2724//2724 2922//2922\nf 3402//3402 3574//3574 2965//2965\nf 3784//3784 2491//2491 1700//1700\nf 2615//2615 1975//1975 2921//2921\nf 2674//2674 2712//2712 6120//6120\nf 1757//1757 1603//1603 5151//5151\nf 1821//1821 3136//3136 2849//2849\nf 1836//1836 1807//1807 2595//2595\nf 1604//1604 5007//5007 2713//2713\nf 2706//2706 2512//2512 2821//2821\nf 2544//2544 1667//1667 2699//2699\nf 1851//1851 1962//1962 4810//4810\nf 2640//2640 2653//2653 1625//1625\nf 1727//1727 1859//1859 2191//2191\nf 1741//1741 1783//1783 1542//1542\nf 2449//2449 1922//1922 1997//1997\nf 2829//2829 1789//1789 2994//2994\nf 1610//1610 1721//1721 2481//2481\nf 1905//1905 5028//5028 2985//2985\nf 3460//3460 1543//1543 3457//3457\nf 2800//2800 2848//2848 5007//5007\nf 2966//2966 2784//2784 1663//1663\nf 1542//1542 1783//1783 2862//2862\nf 2997//2997 2966//2966 1663//1663\nf 3555//3555 2849//2849 3136//3136\nf 1905//1905 2985//2985 2585//2585\nf 4765//4765 2840//2840 501//501\nf 5092//5092 691//691 426//426\nf 2642//2642 1977//1977 2652//2652\nf 2563//2563 1812//1812 4932//4932\nf 1574//1574 2903//2903 2623//2623\nf 2771//2771 2804//2804 2447//2447\nf 2583//2583 1976//1976 1822//1822\nf 1973//1973 1916//1916 1941//1941\nf 1863//1863 1961//1961 1934//1934\nf 4280//4280 1898//1898 3904//3904\nf 1285//1285 1451//1451 2777//2777\nf 2910//2910 2628//2628 2498//2498\nf 2595//2595 2475//2475 1836//1836\nf 2775//2775 2399//2399 2905//2905\nf 1862//1862 2598//2598 1877//1877\nf 1954//1954 2842//2842 1741//1741\nf 2631//2631 2619//2619 5004//5004\nf 2648//2648 1941//1941 1916//1916\nf 1750//1750 2887//2887 1883//1883\nf 5047//5047 4665//4665 5054//5054\nf 2715//2715 1954//1954 1741//1741\nf 3034//3034 2911//2911 4261//4261\nf 2916//2916 2616//2616 2661//2661\nf 2765//2765 1614//1614 1740//1740\nf 3375//3375 2651//2651 2498//2498\nf 1504//1504 1610//1610 2481//2481\nf 2957//2957 2750//2750 1704//1704\nf 1875//1875 1610//1610 1743//1743\nf 2385//2385 2844//2844 2586//2586\nf 3133//3133 818//818 1597//1597\nf 4321//4321 4191//4191 3085//3085\nf 2876//2876 2626//2626 1789//1789\nf 2649//2649 2687//2687 1920//1920\nf 2586//2586 1645//1645 5117//5117\nf 4625//4625 2416//2416 2506//2506\nf 2486//2486 2768//2768 1913//1913\nf 2719//2719 1746//1746 2738//2738\nf 2957//2957 1704//1704 2603//2603\nf 3752//3752 2519//2519 1293//1293\nf 1887//1887 2619//2619 2631//2631\nf 1776//1776 2465//2465 2571//2571\nf 1979//1979 2812//2812 1817//1817\nf 1749//1749 1679//1679 2588//2588\nf 2615//2615 2921//2921 2843//2843\nf 2738//2738 2575//2575 2719//2719\nf 2703//2703 1913//1913 2768//2768\nf 3513//3513 2548//2548 3998//3998\nf 4860//4860 1878//1878 125//125\nf 2791//2791 1860//1860 2450//2450\nf 3267//3267 3744//3744 4692//4692\nf 1768//1768 2926//2926 1546//1546\nf 1884//1884 2700//2700 1686//1686\nf 1889//1889 2774//2774 1844//1844\nf 2565//2565 2802//2802 2950//2950\nf 1899//1899 2778//2778 1975//1975\nf 1777//1777 2685//2685 2695//2695\nf 1894//1894 2723//2723 2590//2590\nf 1966//1966 2347//2347 1814//1814\nf 2948//2948 2635//2635 1874//1874\nf 1879//1879 4932//4932 1997//1997\nf 817//817 575//575 2980//2980\nf 2548//2548 3513//3513 1617//1617\nf 1887//1887 2385//2385 1970//1970\nf 1901//1901 1885//1885 2451//2451\nf 2908//2908 1988//1988 2867//2867\nf 1151//1151 5186//5186 1218//1218\nf 1707//1707 2979//2979 2869//2869\nf 2805//2805 2641//2641 1808//1808\nf 2576//2576 2780//2780 2547//2547\nf 1729//1729 2663//2663 2845//2845\nf 1899//1899 2615//2615 2642//2642\nf 1963//1963 2483//2483 3622//3622\nf 4449//4449 4530//4530 657//657\nf 2355//2355 2737//2737 1861//1861\nf 4150//4150 982//982 553//553\nf 1792//1792 4304//4304 2012//2012\nf 2894//2894 2857//2857 1751//1751\nf 1981//1981 2469//2469 1590//1590\nf 1792//1792 5575//5575 1663//1663\nf 2934//2934 2979//2979 1707//1707\nf 1847//1847 1885//1885 1939//1939\nf 1657//1657 1851//1851 4810//4810\nf 3009//3009 2828//2828 2014//2014\nf 1827//1827 1963//1963 4142//4142\nf 1920//1920 2544//2544 2649//2649\nf 2457//2457 1941//1941 2648//2648\nf 2694//2694 1832//1832 5003//5003\nf 1372//1372 2806//2806 2698//2698\nf 1729//1729 1972//1972 2571//2571\nf 3051//3051 3225//3225 2927//2927\nf 1883//1883 2863//2863 1750//1750\nf 4437//4437 2564//2564 2669//2669\nf 691//691 1353//1353 426//426\nf 1879//1879 3184//3184 4932//4932\nf 2604//2604 2067//2067 1781//1781\nf 3470//3470 5152//5152 3469//3469\nf 3161//3161 1593//1593 1726//1726\nf 2860//2860 3827//3827 3013//3013\nf 4339//4339 5130//5130 3127//3127\nf 3056//3056 1513//1513 2665//2665\nf 3555//3555 3136//3136 3461//3461\nf 5023//5023 3551//3551 4138//4138\nf 5028//5028 3411//3411 3552//3552\nf 4692//4692 4204//4204 3824//3824\nf 3060//3060 1938//1938 2417//2417\nf 1069//1069 4984//4984 1515//1515\nf 1387//1387 2972//2972 4197//4197\nf 4262//4262 3507//3507 4320//4320\nf 1559//1559 2713//2713 5007//5007\nf 1398//1398 3925//3925 1952//1952\nf 2159//2159 3455//3455 719//719\nf 1324//1324 501//501 3137//3137\nf 3926//3926 2504//2504 1398//1398\nf 3373//3373 1566//1566 2820//2820\nf 4153//4153 380//380 1386//1386\nf 970//970 3926//3926 1700//1700\nf 3474//3474 2001//2001 2893//2893\nf 4435//4435 4653//4653 4241//4241\nf 2156//2156 3468//3468 2710//2710\nf 3134//3134 2865//2865 1827//1827\nf 2978//2978 694//694 2591//2591\nf 5709//5709 5316//5316 3484//3484\nf 1820//1820 1994//1994 2014//2014\nf 4582//4582 1806//1806 334//334\nf 1499//1499 4025//4025 3667//3667\nf 2915//2915 5299//5299 5890//5890\nf 1435//1435 1433//1433 2996//2996\nf 1599//1599 2984//2984 3079//3079\nf 1534//1534 3098//3098 1533//1533\nf 2095//2095 5498//5498 3182//3182\nf 6096//6096 3140//3140 3071//3071\nf 3140//3140 5649//5649 1850//1850\nf 5437//5437 5676//5676 1243//1243\nf 3236//3236 3182//3182 1547//1547\nf 5765//5765 5721//5721 5355//5355\nf 5304//5304 1036//1036 5449//5449\nf 2109//2109 5034//5034 3374//3374\nf 6082//6082 5430//5430 2109//2109\nf 3027//3027 597//597 1454//1454\nf 3013//3013 4110//4110 1186//1186\nf 3064//3064 2412//2412 2025//2025\nf 684//684 3221//3221 5066//5066\nf 3027//3027 1294//1294 4476//4476\nf 1724//1724 1188//1188 2689//2689\nf 2787//2787 559//559 2666//2666\nf 1349//1349 3512//3512 1580//1580\nf 5020//5020 4211//4211 2960//2960\nf 3902//3902 4990//4990 722//722\nf 4211//4211 5020//5020 4153//4153\nf 2859//2859 1293//1293 2519//2519\nf 2175//2175 2167//2167 5935//5935\nf 748//748 1160//1160 1239//1239\nf 3054//3054 3076//3076 5948//5948\nf 2872//2872 1523//1523 1406//1406\nf 3423//3423 4348//4348 2787//2787\nf 3296//3296 1328//1328 2859//2859\nf 5000//5000 627//627 5153//5153\nf 2940//2940 4502//4502 1660//1660\nf 963//963 2150//2150 3877//3877\nf 4143//4143 3411//3411 4252//4252\nf 1653//1653 1268//1268 2879//2879\nf 4191//4191 2872//2872 1406//1406\nf 3554//3554 3754//3754 4271//4271\nf 4485//4485 2006//2006 4578//4578\nf 4993//4993 3257//3257 672//672\nf 2689//2689 3444//3444 621//621\nf 1575//1575 1108//1108 3575//3575\nf 5019//5019 340//340 1880//1880\nf 1676//1676 1675//1675 3127//3127\nf 4304//4304 1565//1565 2710//2710\nf 1267//1267 1770//1770 1186//1186\nf 3068//3068 2170//2170 3350//3350\nf 2170//2170 3623//3623 3350//3350\nf 2767//2767 4765//4765 627//627\nf 4261//4261 2855//2855 1442//1442\nf 3460//3460 3457//3457 1383//1383\nf 4982//4982 2411//2411 2436//2436\nf 228//228 1492//1492 2823//2823\nf 4283//4283 2710//2710 3468//3468\nf 2784//2784 4070//4070 1792//1792\nf 1551//1551 2914//2914 2982//2982\nf 1810//1810 2827//2827 5447//5447\nf 3011//3011 2785//2785 3261//3261\nf 3328//3328 3260//3260 2826//2826\nf 5990//5990 3284//3284 6118//6118\nf 1435//1435 2996//2996 3103//3103\nf 1419//1419 3367//3367 1606//1606\nf 5412//5412 5833//5833 3315//3315\nf 5662//5662 954//954 3893//3893\nf 5333//5333 3877//3877 5032//5032\nf 953//953 963//963 1417//1417\nf 4161//4161 3089//3089 1092//1092\nf 701//701 571//571 5170//5170\nf 458//458 2808//2808 5139//5139\nf 1969//1969 113//113 321//321\nf 3724//3724 3580//3580 3169//3169\nf 1632//1632 4771//4771 32//32\nf 374//374 330//330 1441//1441\nf 3209//3209 2170//2170 141//141\nf 3623//3623 268//268 3350//3350\nf 1398//1398 393//393 3925//3925\nf 4485//4485 2551//2551 2006//2006\nf 2587//2587 2738//2738 1746//1746\nf 4625//4625 2534//2534 1917//1917\nf 2855//2855 4261//4261 1214//1214\nf 4501//4501 3441//3441 3070//3070\nf 1536//1536 3441//3441 4501//4501\nf 4458//4458 2665//2665 2526//2526\nf 2585//2585 1787//1787 1752//1752\nf 1293//1293 2628//2628 1911//1911\nf 254//254 4533//4533 4751//4751\nf 1390//1390 3542//3542 2818//2818\nf 430//430 392//392 4663//4663\nf 4994//4994 2988//2988 1763//1763\nf 5000//5000 1602//1602 3034//3034\nf 1558//1558 1557//1557 2527//2527\nf 5045//5045 423//423 1644//1644\nf 1387//1387 2158//2158 3451//3451\nf 3456//3456 1326//1326 228//228\nf 3423//3423 1150//1150 1660//1660\nf 722//722 1327//1327 1326//1326\nf 2666//2666 3902//3902 2787//2787\nf 2787//2787 3902//3902 722//722\nf 1387//1387 4994//4994 4214//4214\nf 1069//1069 622//622 3373//3373\nf 4406//4406 4408//4408 2434//2434\nf 1700//1700 1592//1592 3784//3784\nf 1499//1499 4611//4611 1158//1158\nf 1285//1285 2777//2777 3175//3175\nf 2941//2941 5115//5115 5790//5790\nf 5179//5179 4957//4957 915//915\nf 408//408 3754//3754 4638//4638\nf 1536//1536 4501//4501 1653//1653\nf 4214//4214 4994//4994 1682//1682\nf 4709//4709 4439//4439 467//467\nf 1602//1602 5000//5000 5153//5153\nf 4477//4477 588//588 1442//1442\nf 1352//1352 3701//3701 3455//3455\nf 4274//4274 651//651 1952//1952\nf 1580//1580 3512//3512 4134//4134\nf 3300//3300 4274//4274 3068//3068\nf 3575//3575 1230//1230 1454//1454\nf 1433//1433 5872//5872 5488//5488\nf 3118//3118 2121//2121 1562//1562\nf 1395//1395 3031//3031 5233//5233\nf 1077//1077 3499//3499 3415//3415\nf 5627//5627 3793//3793 6139//6139\nf 1007//1007 1122//1122 2152//2152\nf 1219//1219 5954//5954 3286//3286\nf 1101//1101 1180//1180 1035//1035\nf 2949//2949 2083//2083 5408//5408\nf 3509//3509 989//989 5310//5310\nf 5821//5821 1280//1280 997//997\nf 5333//5333 963//963 3877//3877\nf 1417//1417 963//963 5333//5333\nf 2930//2930 161//161 4208//4208\nf 5216//5216 2380//2380 3866//3866\nf 569//569 5122//5122 3062//3062\nf 4738//4738 4647//4647 123//123\nf 377//377 326//326 4898//4898\nf 417//417 4746//4746 81//81\nf 4959//4959 4743//4743 4724//4724\nf 4936//4936 2400//2400 1967//1967\nf 5046//5046 40//40 7//7\nf 4841//4841 4607//4607 157//157\nf 40//40 2522//2522 1152//1152\nf 3925//3925 3068//3068 4274//4274\nf 4190//4190 4600//4600 2749//2749\nf 4280//4280 1569//1569 3013//3013\nf 4320//4320 3507//3507 3551//3551\nf 393//393 427//427 3209//3209\nf 1796//1796 3784//3784 3440//3440\nf 4984//4984 1069//1069 2820//2820\nf 1324//1324 3459//3459 5153//5153\nf 372//372 588//588 1385//1385\nf 3904//3904 4262//4262 1569//1569\nf 435//435 4998//4998 1762//1762\nf 3701//3701 1188//1188 4998//4998\nf 3017//3017 4725//4725 2650//2650\nf 3455//3455 435//435 3386//3386\nf 464//464 1536//1536 1653//1653\nf 4214//4214 1682//1682 4285//4285\nf 3667//3667 3758//3758 721//721\nf 3027//3027 4476//4476 597//597\nf 4153//4153 4267//4267 4211//4211\nf 1660//1660 4502//4502 2643//2643\nf 517//517 1261//1261 4151//4151\nf 2929//2929 1523//1523 341//341\nf 228//228 4691//4691 3371//3371\nf 3371//3371 4691//4691 232//232\nf 3423//3423 722//722 1150//1150\nf 780//780 1386//1386 4365//4365\nf 1327//1327 1384//1384 3220//3220\nf 4990//4990 3902//3902 780//780\nf 4348//4348 3423//3423 2643//2643\nf 930//930 4153//4153 1386//1386\nf 2871//2871 4143//4143 4252//4252\nf 818//818 3553//3553 1661//1661\nf 1120//1120 4321//4321 3754//3754\nf 2528//2528 2638//2638 258//258\nf 5016//5016 1108//1108 1575//1575\nf 4503//4503 4323//4323 3134//3134\nf 3027//3027 4112//4112 1294//1294\nf 5016//5016 3108//3108 431//431\nf 1589//1589 1351//1351 1575//1575\nf 4077//4077 1009//1009 6033//6033\nf 2062//2062 2032//2032 693//693\nf 4829//4829 4901//4901 4973//4973\nf 3215//3215 5817//5817 5476//5476\nf 3164//3164 5839//5839 2251//2251\nf 5436//5436 5573//5573 5513//5513\nf 6074//6074 3410//3410 3335//3335\nf 2796//2796 3150//3150 5330//5330\nf 5789//5789 1245//1245 3119//3119\nf 3482//3482 5461//5461 3312//3312\nf 3533//3533 5273//5273 6146//6146\nf 5616//5616 3611//3611 5268//5268\nf 1511//1511 3942//3942 3529//3529\nf 3789//3789 5254//5254 3663//3663\nf 5535//5535 1075//1075 3593//3593\nf 5926//5926 5466//5466 5254//5254\nf 1027//1027 2306//2306 5940//5940\nf 5548//5548 5497//5497 2118//2118\nf 3802//3802 2183//2183 1046//1046\nf 1448//1448 638//638 4097//4097\nf 4022//4022 4301//4301 4128//4128\nf 4230//4230 4135//4135 2373//2373\nf 3903//3903 3917//3917 3830//3830\nf 1508//1508 710//710 541//541\nf 2279//2279 4330//4330 5038//5038\nf 348//348 4892//4892 1436//1436\nf 4043//4043 4044//4044 3984//3984\nf 2030//2030 4225//4225 5169//5169\nf 438//438 4971//4971 4684//4684\nf 4302//4302 2005//2005 210//210\nf 36//36 1728//1728 419//419\nf 3024//3024 4536//4536 4426//4426\nf 4661//4661 4511//4511 104//104\nf 445//445 708//708 4228//4228\nf 4901//4901 4775//4775 4831//4831\nf 121//121 4910//4910 33//33\nf 220//220 224//224 149//149\nf 149//149 4645//4645 4718//4718\nf 256//256 1984//1984 5050//5050\nf 3353//3353 2358//2358 1287//1287\nf 5048//5048 3138//3138 3515//3515\nf 3824//3824 878//878 3267//3267\nf 5048//5048 409//409 1880//1880\nf 2888//2888 3227//3227 1492//1492\nf 1490//1490 4483//4483 2891//2891\nf 3369//3369 3441//3441 1536//1536\nf 2657//2657 543//543 4976//4976\nf 3474//3474 1194//1194 1543//1543\nf 3013//3013 1186//1186 2860//2860\nf 1622//1622 3061//3061 631//631\nf 1700//1700 1515//1515 970//970\nf 4797//4797 4514//4514 399//399\nf 4716//4716 430//430 4557//4557\nf 1602//1602 2899//2899 2911//2911\nf 627//627 1324//1324 5153//5153\nf 588//588 4477//4477 1385//1385\nf 2650//2650 374//374 1441//1441\nf 2893//2893 3468//3468 1119//1119\nf 2579//2579 323//323 2578//2578\nf 1119//1119 3468//3468 4642//4642\nf 2156//2156 3470//3470 3469//3469\nf 2893//2893 1119//1119 1194//1194\nf 3451//3451 4284//4284 3459//3459\nf 2991//2991 5056//5056 292//292\nf 4845//4845 285//285 4722//4722\nf 1763//1763 4116//4116 1682//1682\nf 3515//3515 1628//1628 409//409\nf 4737//4737 1880//1880 409//409\nf 5049//5049 1675//1675 1628//1628\nf 4290//4290 2386//2386 2491//2491\nf 1880//1880 340//340 5048//5048\nf 1492//1492 2958//2958 2823//2823\nf 1266//1266 3442//3442 3058//3058\nf 651//651 712//712 1952//1952\nf 3904//3904 3507//3507 4262//4262\nf 464//464 1653//1653 2879//2879\nf 265//265 3174//3174 1800//1800\nf 3667//3667 721//721 2717//2717\nf 207//207 3174//3174 265//265\nf 302//302 4866//4866 134//134\nf 353//353 5026//5026 3449//3449\nf 4690//4690 4796//4796 267//267\nf 5029//5029 3803//3803 5695//5695\nf 2061//2061 3661//3661 3595//3595\nf 1630//1630 5909//5909 2113//2113\nf 3590//3590 2090//2090 5349//5349\nf 2079//2079 3153//3153 1654//1654\nf 2121//2121 5289//5289 5296//5296\nf 3077//3077 2906//2906 5447//5447\nf 3484//3484 5422//5422 5639//5639\nf 2878//2878 3241//3241 2882//2882\nf 5911//5911 2920//2920 3483//3483\nf 5520//5520 6000//6000 6122//6122\nf 3258//3258 703//703 4118//4118\nf 3170//3170 2307//2307 4251//4251\nf 3254//3254 1450//1450 3289//3289\nf 2336//2336 5576//5576 3086//3086\nf 3261//3261 5596//5596 2728//2728\nf 3086//3086 5739//5739 5496//5496\nf 3207//3207 3203//3203 3326//3326\nf 3002//3002 1449//1449 5990//5990\nf 1618//1618 3326//3326 3002//3002\nf 6054//6054 3005//3005 3004//3004\nf 1693//1693 3046//3046 1769//1769\nf 1461//1461 5292//5292 5476//5476\nf 1626//1626 3046//3046 5401//5401\nf 1473//1473 1696//1696 3217//3217\nf 5473//5473 5121//5121 1486//1486\nf 5248//5248 5828//5828 1613//1613\nf 1608//1608 5504//5504 5890//5890\nf 5762//5762 2982//2982 3147//3147\nf 3147//3147 3084//3084 3151//3151\nf 3148//3148 1432//1432 3298//3298\nf 3323//3323 2074//2074 2834//2834\nf 6142//6142 1447//1447 1443//1443\nf 3238//3238 3084//3084 2982//2982\nf 1736//1736 6064//6064 6054//6054\nf 3255//3255 1769//1769 3252//3252\nf 1547//1547 3471//3471 3236//3236\nf 2982//2982 2914//2914 3238//3238\nf 3077//3077 2995//2995 2906//2906\nf 6013//6013 5121//5121 3233//3233\nf 3124//3124 3377//3377 3247//3247\nf 3203//3203 5231//5231 1694//1694\nf 1606//1606 3367//3367 5903//5903\nf 1423//1423 3148//3148 3298//3298\nf 6054//6054 5888//5888 3011//3011\nf 3298//3298 6064//6064 1423//1423\nf 5496//5496 2336//2336 3086//3086\nf 1549//1549 3143//3143 5488//5488\nf 1696//1696 6127//6127 3217//3217\nf 1715//1715 5505//5505 3252//3252\nf 1696//1696 1446//1446 5292//5292\nf 3387//3387 3295//3295 5536//5536\nf 5283//5283 5018//5018 3232//3232\nf 5361//5361 2928//2928 5946//5946\nf 1343//1343 1581//1581 3102//3102\nf 1415//1415 2285//2285 3102//3102\nf 3471//3471 1347//1347 3236//3236\nf 5395//5395 5280//5280 1347//1347\nf 3029//3029 1460//1460 5680//5680\nf 3289//3289 1416//1416 3254//3254\nf 1633//1633 5702//5702 1368//1368\nf 2839//2839 5504//5504 6049//6049\nf 3211//3211 3377//3377 3212//3212\nf 5748//5748 5971//5971 1486//1486\nf 3148//3148 5576//5576 2336//2336\nf 5696//5696 5351//5351 1693//1693\nf 2336//2336 1549//1549 3148//3148\nf 5748//5748 5990//5990 2923//2923\nf 5583//5583 1371//1371 5917//5917\nf 1626//1626 3252//3252 3046//3046\nf 1769//1769 1425//1425 1535//1535\nf 3098//3098 5477//5477 1439//1439\nf 6144//6144 2932//2932 3157//3157\nf 5597//5597 1434//1434 1548//1548\nf 1183//1183 1212//1212 5653//5653\nf 5417//5417 5775//5775 3168//3168\nf 5290//5290 3314//3314 1360//1360\nf 5971//5971 5746//5746 3079//3079\nf 3293//3293 3066//3066 5651//5651\nf 3318//3318 1271//1271 3382//3382\nf 1715//1715 3252//3252 1626//1626\nf 5817//5817 3387//3387 1461//1461\nf 2835//2835 3073//3073 5760//5760\nf 3140//3140 1850//1850 3071//3071\nf 2760//2760 1405//1405 2160//2160\nf 5498//5498 5419//5419 5649//5649\nf 2191//2191 2160//2160 2634//2634\nf 5946//5946 3100//3100 3264//3264\nf 3256//3256 3383//3383 3100//3100\nf 1769//1769 3046//3046 3252//3252\nf 5946//5946 1497//1497 5361//5361\nf 5601//5601 5512//5512 3491//3491\nf 5953//5953 5018//5018 1793//1793\nf 5793//5793 5377//5377 5591//5591\nf 1497//1497 2145//2145 5361//5361\nf 6098//6098 1246//1246 2044//2044\nf 3008//3008 5697//5697 1462//1462\nf 1343//1343 1654//1654 3316//3316\nf 1581//1581 1343//1343 3193//3193\nf 3153//3153 1378//1378 3316//3316\nf 2477//2477 3303//3303 5374//5374\nf 5760//5760 3072//3072 5791//5791\nf 5689//5689 1427//1427 1480//1480\nf 1242//1242 1552//1552 6118//6118\nf 3260//3260 1694//1694 2826//2826\nf 3247//3247 1364//1364 3167//3167\nf 3491//3491 1517//1517 5601//5601\nf 1218//1218 3313//3313 5745//5745\nf 3021//3021 3115//3115 5794//5794\nf 3252//3252 5505//5505 3255//3255\nf 3404//3404 5665//5665 5646//5646\nf 1517//1517 3404//3404 3091//3091\nf 2176//2176 1395//1395 5233//5233\nf 3180//3180 1463//1463 1263//1263\nf 2145//2145 3232//3232 5018//5018\nf 5611//5611 5646//5646 1380//1380\nf 1380//1380 5646//5646 5665//5665\nf 1305//1305 1167//1167 1550//1550\nf 1497//1497 3180//3180 1263//1263\nf 3090//3090 1431//1431 5839//5839\nf 5581//5581 5998//5998 1460//1460\nf 5664//5664 3259//3259 5404//5404\nf 2878//2878 3334//3334 5921//5921\nf 5244//5244 1647//1647 5853//5853\nf 2846//2846 2879//2879 1268//1268\nf 1719//1719 1378//1378 1647//1647\nf 5251//5251 6153//6153 1339//1339\nf 1427//1427 3211//3211 3212//3212\nf 1242//1242 5340//5340 1552//1552\nf 1619//1619 5629//5629 3067//3067\nf 5651//5651 3329//3329 1273//1273\nf 5617//5617 5580//5580 5347//5347\nf 2121//2121 5986//5986 3163//3163\nf 3474//3474 598//598 1684//1684\nf 2955//2955 5864//5864 1317//1317\nf 5614//5614 1720//1720 5440//5440\nf 5691//5691 3543//3543 1201//1201\nf 1220//1220 5403//5403 1335//1335\nf 3404//3404 1517//1517 1247//1247\nf 2652//2652 3047//3047 2642//2642\nf 1263//1263 5611//5611 1497//1497\nf 5759//5759 5498//5498 3078//3078\nf 3428//3428 5549//5549 1222//1222\nf 1347//1347 5802//5802 3236//3236\nf 3078//3078 5617//5617 1262//1262\nf 3310//3310 1375//1375 5404//5404\nf 2175//2175 5935//5935 1317//1317\nf 5964//5964 6083//6083 1376//1376\nf 1196//1196 5415//5415 5637//5637\nf 1258//1258 1318//1318 5484//5484\nf 5499//5499 3241//3241 1408//1408\nf 5812//5812 5507//5507 5289//5289\nf 5864//5864 5281//5281 1317//1317\nf 2811//2811 5499//5499 3243//3243\nf 1477//1477 1015//1015 3192//3192\nf 3286//3286 5429//5429 1275//1275\nf 1429//1429 5634//5634 3250//3250\nf 5237//5237 2236//2236 5517//5517\nf 5733//5733 5995//5995 3304//3304\nf 1427//1427 5689//5689 3211//3211\nf 1914//1914 1568//1568 2856//2856\nf 3168//3168 3283//3283 2962//2962\nf 5259//5259 1605//1605 1537//1537\nf 3228//3228 3224//3224 3218//3218\nf 1609//1609 5892//5892 1685//1685\nf 5925//5925 5352//5352 3189//3189\nf 3325//3325 5944//5944 1520//1520\nf 2143//2143 2176//2176 5233//5233\nf 5809//5809 5601//5601 1758//1758\nf 5325//5325 5659//5659 1247//1247\nf 1718//1718 5558//5558 1562//1562\nf 5289//5289 2121//2121 3118//3118\nf 1582//1582 3033//3033 1243//1243\nf 1559//1559 1624//1624 2713//2713\nf 5526//5526 1166//1166 5538//5538\nf 5429//5429 5320//5320 2133//2133\nf 308//308 1353//1353 31//31\nf 5639//5639 6053//6053 3484//3484\nf 3549//3549 5561//5561 5773//5773\nf 2919//2919 6129//6129 3249//3249\nf 5525//5525 3234//3234 5245//5245\nf 5835//5835 5245//5245 1211//1211\nf 5848//5848 1290//1290 5572//5572\nf 1550//1550 5396//5396 2986//2986\nf 1307//1307 5325//5325 2963//2963\nf 2116//2116 5717//5717 1288//1288\nf 394//394 2526//2526 1513//1513\nf 1307//1307 3045//3045 5659//5659\nf 5512//5512 5809//5809 958//958\nf 3237//3237 1408//1408 3110//3110\nf 3482//3482 5514//5514 6035//6035\nf 6062//6062 5702//5702 1633//1633\nf 3293//3293 5340//5340 3405//3405\nf 5946//5946 3180//3180 1497//1497\nf 1517//1517 3491//3491 3437//3437\nf 3119//3119 5751//5751 5789//5789\nf 1305//1305 2755//2755 2909//2909\nf 5986//5986 5347//5347 5580//5580\nf 2924//2924 1015//1015 1477//1477\nf 3498//3498 1748//1748 1244//1244\nf 2822//2822 1913//1913 2703//2703\nf 2675//2675 1200//1200 651//651\nf 5957//5957 5362//5362 1123//1123\nf 1301//1301 3534//3534 1270//1270\nf 5337//5337 5451//5451 1336//1336\nf 5848//5848 5742//5742 3488//3488\nf 5451//5451 5312//5312 1336//1336\nf 5699//5699 1363//1363 3226//3226\nf 3420//3420 3206//3206 5959//5959\nf 3566//3566 3446//3446 1402//1402\nf 5992//5992 3095//3095 3483//3483\nf 1308//1308 5845//5845 5843//5843\nf 6153//6153 1308//1308 5843//5843\nf 1678//1678 1877//1877 2865//2865\nf 2973//2973 3154//3154 1329//1329\nf 6001//6001 5992//5992 1257//1257\nf 2953//2953 5676//5676 3251//3251\nf 6115//6115 5655//5655 5642//5642\nf 5328//5328 2654//2654 3394//3394\nf 6053//6053 5639//5639 3302//3302\nf 3577//3577 1172//1172 3249//3249\nf 1424//1424 3433//3433 3073//3073\nf 3447//3447 3543//3543 3200//3200\nf 2044//2044 5770//5770 1747//1747\nf 5513//5513 1245//1245 5436//5436\nf 1245//1245 3586//3586 3119//3119\nf 1374//1374 2835//2835 2909//2909\nf 1927//1927 3484//3484 5316//5316\nf 3118//3118 5681//5681 5923//5923\nf 3114//3114 5685//5685 1718//1718\nf 5964//5964 3311//3311 3431//3431\nf 5404//5404 3259//3259 5281//5281\nf 1215//1215 3534//3534 6089//6089\nf 1336//1336 5312//5312 3201//3201\nf 2602//2602 1288//1288 5514//5514\nf 1320//1320 5797//5797 5837//5837\nf 3095//3095 5443//5443 5799//5799\nf 3095//3095 5799//5799 3366//3366\nf 1257//1257 1339//1339 6001//6001\nf 3497//3497 5543//5543 1605//1605\nf 5259//5259 1140//1140 3497//3497\nf 5346//5346 2119//2119 2924//2924\nf 5997//5997 5938//5938 5471//5471\nf 5905//5905 6091//6091 1030//1030\nf 3204//3204 2836//2836 202//202\nf 3497//3497 1140//1140 5934//5934\nf 1233//1233 5321//5321 5273//5273\nf 1605//1605 5259//5259 3497//3497\nf 5708//5708 5302//5302 5371//5371\nf 5934//5934 5564//5564 5908//5908\nf 5380//5380 5397//5397 1358//1358\nf 5123//5123 3472//3472 5886//5886\nf 5774//5774 3588//3588 5740//5740\nf 3259//3259 2167//2167 2175//2175\nf 3610//3610 5873//5873 3271//3271\nf 5777//5777 5250//5250 3357//3357\nf 1475//1475 1476//1476 3480//3480\nf 6140//6140 3198//3198 6150//6150\nf 5486//5486 3349//3349 1254//1254\nf 5710//5710 1428//1428 1254//1254\nf 5024//5024 5992//5992 5702//5702\nf 5837//5837 3235//3235 1320//1320\nf 5648//5648 6075//6075 5271//5271\nf 5702//5702 6062//6062 5024//5024\nf 5997//5997 3683//3683 5938//5938\nf 5259//5259 5316//5316 2593//2593\nf 3083//3083 5726//5726 5558//5558\nf 3528//3528 3533//3533 6146//6146\nf 3497//3497 5934//5934 5861//5861\nf 5550//5550 5849//5849 1212//1212\nf 5642//5642 5655//5655 3544//3544\nf 3479//3479 3363//3363 5553//5553\nf 3798//3798 2093//2093 3159//3159\nf 1140//1140 6029//6029 5471//5471\nf 3574//3574 3402//3402 694//694\nf 1030//1030 5555//5555 5905//5905\nf 1605//1605 5507//5507 5812//5812\nf 6029//6029 1140//1140 2593//2593\nf 1030//1030 5865//5865 5555//5555\nf 5564//5564 5471//5471 5938//5938\nf 3378//3378 5908//5908 1126//1126\nf 1284//1284 3589//3589 3436//3436\nf 3499//3499 5635//5635 3415//3415\nf 5932//5932 1289//1289 6092//6092\nf 3399//3399 6147//6147 1104//1104\nf 6121//6121 3787//3787 5993//5993\nf 1332//1332 1514//1514 3734//3734\nf 3492//3492 5690//5690 5881//5881\nf 3490//3490 1300//1300 3263//3263\nf 5881//5881 3516//3516 3486//3486\nf 3518//3518 3609//3609 5275//5275\nf 5227//5227 6041//6041 1004//1004\nf 2042//2042 6041//6041 6111//6111\nf 5520//5520 1004//1004 1642//1642\nf 5427//5427 3767//3767 3673//3673\nf 5880//5880 3547//3547 3546//3546\nf 927//927 6111//6111 6041//6041\nf 3630//3630 5586//5586 5450//5450\nf 5309//5309 5534//5534 1298//1298\nf 1004//1004 5520//5520 1362//1362\nf 3537//3537 3743//3743 5926//5926\nf 1176//1176 788//788 2195//2195\nf 3368//3368 3714//3714 3439//3439\nf 5881//5881 5690//5690 1091//1091\nf 3645//3645 6152//6152 5548//5548\nf 3708//3708 984//984 966//966\nf 5700//5700 3751//3751 3556//3556\nf 5266//5266 5937//5937 5633//5633\nf 3263//3263 5690//5690 3492//3492\nf 3637//3637 1013//1013 1297//1297\nf 3510//3510 3567//3567 5501//5501\nf 6111//6111 1250//1250 5236//5236\nf 1642//1642 1004//1004 6041//6041\nf 5460//5460 967//967 5808//5808\nf 5880//5880 3546//3546 3629//3629\nf 1109//1109 5156//5156 5239//5239\nf 966//966 5523//5523 967//967\nf 5379//5379 3751//3751 5455//5455\nf 5467//5467 5400//5400 2152//2152\nf 3421//3421 1132//1132 3625//3625\nf 2193//2193 1205//1205 1133//1133\nf 3155//3155 3522//3522 6031//6031\nf 1085//1085 3643//3643 5869//5869\nf 3941//3941 805//805 5816//5816\nf 850//850 5470//5470 3941//3941\nf 1007//1007 3605//3605 1122//1122\nf 6012//6012 1052//1052 3709//3709\nf 5314//5314 5636//5636 5711//5711\nf 2181//2181 3939//3939 5470//5470\nf 850//850 5510//5510 5470//5470\nf 978//978 3719//3719 3718//3718\nf 5976//5976 1116//1116 5420//5420\nf 5420//5420 3669//3669 5235//5235\nf 3783//3783 5516//5516 3867//3867\nf 4089//4089 5202//5202 5173//5173\nf 4948//4948 4946//4946 881//881\nf 5097//5097 944//944 3923//3923\nf 2323//2323 974//974 1034//1034\nf 1673//1673 3786//3786 4036//4036\nf 3783//3783 3867//3867 3631//3631\nf 864//864 4066//4066 3828//3828\nf 1009//1009 901//901 826//826\nf 2144//2144 813//813 4120//4120\nf 4199//4199 804//804 5110//5110\nf 5768//5768 3737//3737 5472//5472\nf 2541//2541 2543//2543 2060//2060\nf 3954//3954 725//725 3733//3733\nf 1011//1011 6036//6036 3729//3729\nf 764//764 4136//4136 3185//3185\nf 3995//3995 2359//2359 874//874\nf 4147//4147 4080//4080 3197//3197\nf 853//853 4064//4064 909//909\nf 5519//5519 5135//5135 890//890\nf 3921//3921 992//992 1673//1673\nf 2541//2541 4208//4208 796//796\nf 2543//2543 4098//4098 4235//4235\nf 3847//3847 5279//5279 3390//3390\nf 3847//3847 3390//3390 3867//3867\nf 2543//2543 764//764 2060//2060\nf 4161//4161 3697//3697 3089//3089\nf 4036//4036 661//661 1673//1673\nf 475//475 838//838 74//74\nf 3901//3901 4108//4108 4101//4101\nf 5201//5201 5164//5164 5141//5141\nf 854//854 634//634 1455//1455\nf 814//814 2359//2359 5164//5164\nf 4080//4080 4273//4273 4277//4277\nf 871//871 2094//2094 2255//2255\nf 2334//2334 4087//4087 812//812\nf 4180//4180 5141//5141 2359//2359\nf 3258//3258 611//611 3170//3170\nf 2307//2307 3170//3170 611//611\nf 4251//4251 703//703 3170//3170\nf 3170//3170 703//703 3258//3258\nf 1456//1456 4183//4183 335//335\nf 5147//5147 4195//4195 3842//3842\nf 751//751 865//865 4020//4020\nf 5234//5234 911//911 858//858\nf 3841//3841 739//739 3840//3840\nf 4131//4131 3965//3965 1448//1448\nf 830//830 638//638 1448//1448\nf 845//845 2260//2260 808//808\nf 1355//1355 3197//3197 4277//4277\nf 3979//3979 2295//2295 4877//4877\nf 4334//4334 420//420 4273//4273\nf 2276//2276 886//886 4117//4117\nf 3106//3106 3197//3197 4272//4272\nf 2369//2369 720//720 5005//5005\nf 4380//4380 4419//4419 346//346\nf 420//420 4334//4334 4333//4333\nf 3117//3117 4574//4574 3176//3176\nf 420//420 1594//1594 1529//1529\nf 2391//2391 4306//4306 4375//4375\nf 4840//4840 781//781 5192//5192\nf 4360//4360 2000//2000 647//647\nf 4233//4233 4377//4377 4343//4343\nf 2391//2391 2369//2369 4306//4306\nf 403//403 96//96 4787//4787\nf 349//349 4511//4511 2338//2338\nf 51//51 4886//4886 2704//2704\nf 529//529 1521//1521 4656//4656\nf 1819//1819 1703//1703 3123//3123\nf 3032//3032 2833//2833 1457//1457\nf 1457//1457 346//346 3032//3032\nf 3032//3032 4656//4656 1521//1521\nf 2897//2897 4972//4972 355//355\nf 1521//1521 1819//1819 4434//4434\nf 5085//5085 316//316 259//259\nf 3176//3176 4380//4380 4423//4423\nf 4367//4367 345//345 1377//1377\nf 355//355 5091//5091 398//398\nf 1321//1321 4968//4968 2005//2005\nf 5155//5155 2364//2364 4445//4445\nf 477//477 4300//4300 4187//4187\nf 4822//4822 4774//4774 4943//4943\nf 4305//4305 629//629 2725//2725\nf 4393//4393 2370//2370 4333//4333\nf 4418//4418 4655//4655 5162//5162\nf 469//469 4668//4668 4972//4972\nf 4987//4987 5174//5174 3962//3962\nf 108//108 236//236 5091//5091\nf 442//442 3120//3120 4396//4396\nf 1544//1544 3931//3931 1400//1400\nf 176//176 4570//4570 4467//4467\nf 4302//4302 1627//1627 1956//1956\nf 576//576 4536//4536 640//640\nf 4546//4546 4881//4881 4797//4797\nf 28//28 312//312 4607//4607\nf 4881//4881 132//132 4797//4797\nf 2330//2330 4393//4393 503//503\nf 244//244 99//99 4834//4834\nf 483//483 4163//4163 752//752\nf 26//26 5085//5085 117//117\nf 4102//4102 113//113 3144//3144\nf 4532//4532 4756//4756 100//100\nf 5074//5074 71//71 42//42\nf 230//230 68//68 4775//4775\nf 355//355 108//108 5091//5091\nf 378//378 76//76 4440//4440\nf 468//468 457//457 355//355\nf 579//579 447//447 4296//4296\nf 3772//3772 4517//4517 2522//2522\nf 204//204 252//252 4762//4762\nf 4766//4766 144//144 3353//3353\nf 2395//2395 2389//2389 1644//1644\nf 4556//4556 1464//1464 195//195\nf 4730//4730 360//360 2708//2708\nf 106//106 245//245 5161//5161\nf 4914//4914 4601//4601 4648//4648\nf 149//149 273//273 4645//4645\nf 4438//4438 383//383 5067//5067\nf 283//283 4739//4739 4597//4597\nf 2707//2707 288//288 4847//4847\nf 2067//2067 2554//2554 1757//1757\nf 962//962 3574//3574 1491//1491\nf 1330//1330 4819//4819 4722//4722\nf 2990//2990 5040//5040 4241//4241\nf 3353//3353 144//144 2358//2358\nf 4868//4868 204//204 34//34\nf 288//288 4857//4857 4931//4931\nf 373//373 3353//3353 1287//1287\nf 5017//5017 4991//4991 2578//2578\nf 4847//4847 1142//1142 4531//4531\nf 159//159 4834//4834 4851//4851\nf 194//194 2970//2970 3450//3450\nf 194//194 3450//3450 1949//1949\nf 4325//4325 4699//4699 1560//1560\nf 79//79 3380//3380 4789//4789\nf 3716//3716 5016//5016 2025//2025\nf 3028//3028 2807//2807 2819//2819\nf 4267//4267 930//930 2666//2666\nf 5154//5154 817//817 2940//2940\nf 3070//3070 3441//3441 2891//2891\nf 2719//2719 3445//3445 1746//1746\nf 2925//2925 2661//2661 2616//2616\nf 575//575 817//817 5154//5154\nf 6096//6096 3071//3071 1719//1719\nf 3068//3068 3350//3350 1418//1418\nf 4262//4262 4320//4320 2709//2709\nf 2500//2500 285//285 4559//4559\nf 292//292 1665//1665 405//405\nf 3554//3554 4638//4638 3754//3754\nf 4347//4347 1835//1835 1834//1834\nf 6122//6122 3505//3505 5520//5520\nf 2077//2077 2153//2153 1088//1088\nf 1979//1979 4466//4466 1883//1883\nf 5189//5189 4963//4963 146//146\nf 4802//4802 397//397 130//130\nf 4400//4400 4184//4184 2318//2318\nf 2832//2832 337//337 4488//4488\nf 3273//3273 2327//2327 2036//2036\nf 4700//4700 4793//4793 110//110\nf 4179//4179 2401//2401 4297//4297\nf 4655//4655 4419//4419 5162//5162\nf 1819//1819 21//21 4465//4465\nf 3176//3176 4574//4574 4375//4375\nf 4302//4302 4912//4912 4453//4453\nf 2832//2832 4685//4685 884//884\nf 2391//2391 4375//4375 2954//2954\nf 3996//3996 4251//4251 2307//2307\nf 1471//1471 4380//4380 3176//3176\nf 4656//4656 4367//4367 529//529\nf 3123//3123 21//21 1819//1819\nf 456//456 2008//2008 1583//1583\nf 519//519 316//316 458//458\nf 789//789 2441//2441 757//757\nf 4062//4062 3979//3979 4954//4954\nf 1529//1529 1594//1594 4342//4342\nf 2612//2612 4354//4354 2531//2531\nf 4776//4776 2847//2847 4027//4027\nf 1967//1967 2400//2400 2320//2320\nf 4087//4087 4273//4273 1529//1529\nf 4314//4314 406//406 4026//4026\nf 4223//4223 3823//3823 877//877\nf 4962//4962 1468//1468 604//604\nf 6//6 3886//3886 2094//2094\nf 4161//4161 1092//1092 5170//5170\nf 765//765 4146//4146 2930//2930\nf 4155//4155 5097//5097 3923//3923\nf 917//917 860//860 747//747\nf 805//805 2314//2314 4120//4120\nf 5976//5976 5537//5537 895//895\nf 3037//3037 6066//6066 5372//5372\nf 3775//3775 3766//3766 6066//6066\nf 6080//6080 3597//3597 5301//5301\nf 5354//5354 5764//5764 3708//3708\nf 1312//1312 5690//5690 3342//3342\nf 5631//5631 1412//1412 1109//1109\nf 5741//5741 5534//5534 5309//5309\nf 3538//3538 5985//5985 1399//1399\nf 1041//1041 3621//3621 1102//1102\nf 5412//5412 3315//3315 3486//3486\nf 1091//1091 3516//3516 5881//5881\nf 1041//1041 6034//6034 1692//1692\nf 1412//1412 5631//5631 2201//2201\nf 3486//3486 5545//5545 5881//5881\nf 3035//3035 5730//5730 5966//5966\nf 1123//1123 5362//5362 1805//1805\nf 1685//1685 5892//5892 1220//1220\nf 5125//5125 6076//6076 5704//5704\nf 5479//5479 2973//2973 1329//1329\nf 5634//5634 5822//5822 5737//5737\nf 5614//5614 1197//1197 3347//3347\nf 5629//5629 3066//3066 5845//5845\nf 3839//3839 3308//3308 1079//1079\nf 3493//3493 5799//5799 6138//6138\nf 1368//1368 5702//5702 3239//3239\nf 2809//2809 1177//1177 3566//3566\nf 3234//3234 6090//6090 5245//5245\nf 1609//1609 3110//3110 6158//6158\nf 3049//3049 5558//5558 1718//1718\nf 1315//1315 3484//3484 6053//6053\nf 1643//1643 5664//5664 3290//3290\nf 1484//1484 2149//2149 1465//1465\nf 5701//5701 5477//5477 6005//6005\nf 4676//4676 2569//2569 2605//2605\nf 3383//3383 3264//3264 3100//3100\nf 3311//3311 5964//5964 3310//3310\nf 3408//3408 1244//1244 5296//5296\nf 3078//3078 5498//5498 5649//5649\nf 5271//5271 1068//1068 5563//5563\nf 3247//3247 3167//3167 3203//3203\nf 1376//1376 1291//1291 3272//3272\nf 1647//1647 1378//1378 3317//3317\nf 2878//2878 3333//3333 3334//3334\nf 1376//1376 6083//6083 1291//1291\nf 3395//3395 1434//1434 5956//5956\nf 5580//5580 6096//6096 3114//3114\nf 5839//5839 1431//1431 2251//2251\nf 2251//2251 3190//3190 3164//3164\nf 5514//5514 3149//3149 5424//5424\nf 1420//1420 2837//2837 2397//2397\nf 1534//1534 5802//5802 1346//1346\nf 3282//3282 6124//6124 3281//3281\nf 1463//1463 3180//3180 3264//3264\nf 3217//3217 5299//5299 2915//2915\nf 2728//2728 3011//3011 3261//3261\nf 5347//5347 1748//1748 3498//3498\nf 1473//1473 2915//2915 1810//1810\nf 6153//6153 958//958 5794//5794\nf 3066//3066 3293//3293 3382//3382\nf 1443//1443 3054//3054 6142//6142\nf 2785//2785 3103//3103 2984//2984\nf 1613//1613 3087//3087 5248//5248\nf 2826//2826 5231//5231 3151//3151\nf 1626//1626 5476//5476 5292//5292\nf 1618//1618 5121//5121 3003//3003\nf 5416//5416 6114//6114 5262//5262\nf 5577//5577 5528//5528 3076//3076\nf 1423//1423 1425//1425 5576//5576\nf 3092//3092 1473//1473 1810//1810\nf 6114//6114 5981//5981 5262//5262\nf 3003//3003 6013//6013 5405//5405\nf 3207//3207 3003//3003 5405//5405\nf 3055//3055 3143//3143 1447//1447\nf 2815//2815 5862//5862 5416//5416\nf 6142//6142 2906//2906 5862//5862\nf 3055//3055 1567//1567 3143//3143\nf 3003//3003 3326//3326 1618//1618\nf 3076//3076 5528//5528 3092//3092\nf 3326//3326 3020//3020 3002//3002\nf 1447//1447 1445//1445 1443//1443\nf 1567//1567 3055//3055 5262//5262\nf 5981//5981 6114//6114 5859//5859\nf 1432//1432 3148//3148 1549//1549\nf 1425//1425 1423//1423 1535//1535\nf 2995//2995 6013//6013 3233//3233\nf 5739//5739 3255//3255 5505//5505\nf 1715//1715 5292//5292 1446//1446\nf 5488//5488 1432//1432 1549//1549\nf 3086//3086 1425//1425 3255//3255\nf 6013//6013 3003//3003 5121//5121\nf 5872//5872 1433//1433 1435//1435\nf 5488//5488 3143//3143 1567//1567\nf 5577//5577 3294//3294 5739//5739\nf 3294//3294 5577//5577 3054//3054\nf 5577//5577 3076//3076 3054//3054\nf 5262//5262 5981//5981 1567//1567\nf 3405//3405 3318//3318 3293//3293\nf 1447//1447 3143//3143 1445//1445\nf 2839//2839 6049//6049 2914//2914\nf 2995//2995 3077//3077 1487//1487\nf 3146//3146 6114//6114 5473//5473\nf 1697//1697 3367//3367 1419//1419\nf 3261//3261 2785//2785 1606//1606\nf 5416//5416 5262//5262 2815//2815\nf 5401//5401 5351//5351 5692//5692\nf 5447//5447 2906//2906 5948//5948\nf 5762//5762 1487//1487 3077//3077\nf 1810//1810 3076//3076 3092//3092\nf 3002//3002 5990//5990 5748//5748\nf 5299//5299 6081//6081 1608//1608\nf 2827//2827 2839//2839 1551//1551\nf 6114//6114 5416//5416 5473//5473\nf 6142//6142 5948//5948 2906//2906\nf 1487//1487 3147//3147 5405//5405\nf 5447//5447 5948//5948 1810//1810\nf 6049//6049 5828//5828 2914//2914\nf 6049//6049 3006//3006 1613//1613\nf 6049//6049 5504//5504 3006//3006\nf 6013//6013 2995//2995 1487//1487\nf 5903//5903 1273//1273 5596//5596\nf 2826//2826 3084//3084 3328//3328\nf 5416//5416 5862//5862 3233//3233\nf 5121//5121 1618//1618 1486//1486\nf 5862//5862 2995//2995 3233//3233\nf 1433//1433 5488//5488 1567//1567\nf 3367//3367 1697//1697 6118//6118\nf 5859//5859 6114//6114 3146//3146\nf 5859//5859 3079//3079 2984//2984\nf 5859//5859 3146//3146 3079//3079\nf 3103//3103 5888//5888 1435//1435\nf 6054//6054 6064//6064 3005//3005\nf 3004//3004 5888//5888 6054//6054\nf 1425//1425 3086//3086 5576//5576\nf 1736//1736 6054//6054 3011//3011\nf 1486//1486 1618//1618 5748//5748\nf 5596//5596 5696//5696 2728//2728\nf 1433//1433 1567//1567 5981//5981\nf 1423//1423 6064//6064 1535//1535\nf 3233//3233 5121//5121 5473//5473\nf 1447//1447 6142//6142 2815//2815\nf 3217//3217 3256//3256 5299//5299\nf 2336//2336 5496//5496 1445//1445\nf 3046//3046 5351//5351 5401//5401\nf 5405//5405 3151//3151 3207//3207\nf 6127//6127 3383//3383 3256//3256\nf 1461//1461 3387//3387 6127//6127\nf 5441//5441 1518//1518 2933//2933\nf 2839//2839 5890//5890 5504//5504\nf 2826//2826 3151//3151 3084//3084\nf 567//567 1199//1199 3726//3726\nf 3006//3006 5504//5504 1608//1608\nf 5426//5426 3254//3254 1416//1416\nf 3151//3151 5405//5405 3147//3147\nf 1618//1618 3002//3002 5748//5748\nf 5262//5262 3055//3055 2815//2815\nf 5981//5981 5859//5859 2996//2996\nf 5739//5739 3086//3086 3255//3255\nf 5496//5496 5739//5739 3294//3294\nf 5488//5488 3298//3298 1432//1432\nf 1445//1445 1549//1549 2336//2336\nf 5299//5299 1608//1608 5890//5890\nf 5476//5476 5817//5817 1461//1461\nf 5576//5576 3148//3148 1423//1423\nf 3092//3092 5528//5528 1446//1446\nf 3298//3298 3005//3005 6064//6064\nf 5577//5577 5739//5739 5505//5505\nf 1608//1608 6081//6081 5738//5738\nf 1416//1416 3260//3260 3328//3328\nf 2827//2827 1810//1810 2915//2915\nf 1473//1473 1446//1446 1696//1696\nf 1551//1551 5762//5762 5447//5447\nf 1478//1478 2149//2149 5857//5857\nf 5701//5701 1467//1467 3097//3097\nf 3341//3341 5280//5280 1373//1373\nf 5962//5962 3000//3000 3008//3008\nf 3270//3270 1292//1292 1652//1652\nf 3157//3157 6051//6051 6058//6058\nf 3162//3162 1346//1346 5785//5785\nf 3182//3182 3236//3236 1534//1534\nf 3094//3094 5591//5591 3087//3087\nf 3094//3094 3006//3006 5738//5738\nf 3094//3094 3087//3087 1613//1613\nf 1361//1361 3042//3042 2964//2964\nf 5953//5953 1793//1793 5775//5775\nf 3168//3168 2962//2962 5417//5417\nf 3146//3146 5473//5473 1486//1486\nf 3151//3151 5231//5231 3207//3207\nf 3238//3238 5828//5828 3328//3328\nf 2831//2831 1876//1876 4182//4182\nf 3068//3068 1389//1389 3300//3300\nf 1541//1541 3149//3149 1288//1288\nf 2982//2982 5762//5762 1551//1551\nf 3254//3254 5426//5426 3240//3240\nf 5828//5828 6049//6049 1613//1613\nf 5762//5762 3147//3147 1487//1487\nf 3328//3328 3084//3084 3238//3238\nf 2815//2815 3055//3055 1447//1447\nf 1606//1606 5903//5903 3261//3261\nf 2923//2923 1697//1697 5746//5746\nf 2984//2984 2996//2996 5859//5859\nf 3298//3298 5488//5488 3005//3005\nf 1419//1419 1599//1599 5746//5746\nf 5401//5401 5476//5476 1626//1626\nf 5651//5651 3066//3066 3327//3327\nf 3004//3004 3005//3005 5872//5872\nf 5340//5340 1242//1242 3405//3405\nf 1443//1443 5496//5496 3294//3294\nf 2996//2996 2984//2984 3103//3103\nf 5981//5981 2996//2996 1433//1433\nf 6142//6142 5862//5862 2815//2815\nf 2984//2984 1599//1599 2785//2785\nf 5817//5817 3215//3215 1619//1619\nf 1715//1715 1446//1446 5528//5528\nf 5888//5888 2785//2785 3011//3011\nf 2914//2914 1551//1551 2839//2839\nf 5447//5447 2827//2827 1551//1551\nf 5377//5377 5361//5361 2145//2145\nf 5775//5775 5258//5258 5953//5953\nf 5292//5292 1461//1461 1696//1696\nf 5536//5536 3295//3295 3112//3112\nf 3264//3264 3383//3383 5536//5536\nf 1347//1347 3471//3471 5395//5395\nf 1683//1683 3000//3000 6051//6051\nf 5910//5910 5697//5697 3000//3000\nf 5441//5441 1459//1459 1518//1518\nf 1652//1652 3090//3090 5839//5839\nf 5336//5336 5867//5867 5399//5399\nf 3007//3007 5701//5701 5356//5356\nf 3193//3193 1343//1343 5374//5374\nf 5493//5493 6097//6097 2868//2868\nf 3010//3010 3162//3162 5910//5910\nf 3346//3346 1182//1182 3414//3414\nf 5257//5257 5680//5680 1460//1460\nf 5653//5653 6045//6045 6148//6148\nf 6030//6030 3029//3029 3019//3019\nf 1467//1467 3015//3015 3097//3097\nf 5242//5242 3472//3472 5123//5123\nf 1651//1651 3270//3270 1652//1652\nf 3000//3000 6058//6058 6051//6051\nf 1519//1519 5785//5785 1484//1484\nf 3162//3162 5877//5877 1346//1346\nf 3152//3152 2079//2079 1654//1654\nf 1519//1519 1484//1484 1465//1465\nf 2158//2158 1387//1387 4285//4285\nf 5867//5867 1651//1651 6084//6084\nf 6051//6051 3157//3157 5356//5356\nf 3000//3000 5697//5697 3008//3008\nf 1381//1381 5419//5419 2095//2095\nf 3019//3019 5399//5399 6030//6030\nf 5258//5258 5387//5387 3240//3240\nf 1361//1361 3291//3291 3042//3042\nf 2964//2964 5917//5917 5382//5382\nf 1416//1416 3289//3289 5282//5282\nf 3289//3289 1360//1360 5282//5282\nf 5256//5256 3323//3323 1500//1500\nf 3167//3167 5256//5256 3020//3020\nf 2962//2962 5917//5917 2964//2964\nf 5405//5405 6013//6013 1487//1487\nf 1697//1697 1419//1419 5746//5746\nf 2838//2838 3318//3318 3405//3405\nf 3005//3005 5488//5488 5872//5872\nf 3004//3004 5872//5872 1435//1435\nf 1445//1445 3143//3143 1549//1549\nf 1445//1445 5496//5496 1443//1443\nf 5888//5888 3004//3004 1435//1435\nf 5479//5479 5435//5435 2973//2973\nf 1443//1443 3294//3294 3054//3054\nf 1599//1599 1419//1419 1606//1606\nf 5505//5505 5528//5528 5577//5577\nf 5447//5447 5762//5762 3077//3077\nf 5948//5948 6142//6142 3054//3054\nf 5738//5738 5793//5793 3094//3094\nf 3387//3387 5536//5536 3383//3383\nf 2928//2928 5361//5361 5793//5793\nf 6127//6127 3256//3256 3217//3217\nf 3326//3326 3003//3003 3207//3207\nf 5361//5361 5377//5377 5793//5793\nf 2928//2928 3100//3100 5946//5946\nf 3383//3383 6127//6127 3387//3387\nf 5018//5018 5377//5377 2145//2145\nf 5775//5775 1793//1793 3168//3168\nf 5018//5018 5953//5953 5377//5377\nf 1793//1793 5018//5018 5283//5283\nf 5258//5258 3240//3240 3087//3087\nf 2301//2301 5283//5283 2756//2756\nf 2301//2301 3168//3168 1793//1793\nf 1534//1534 3236//3236 5802//5802\nf 1262//1262 5347//5347 3251//3251\nf 3033//3033 3392//3392 1243//1243\nf 1465//1465 1478//1478 1462//1462\nf 1478//1478 5857//5857 5336//5336\nf 1691//1691 3392//3392 3471//3471\nf 5676//5676 2953//2953 1582//1582\nf 1346//1346 5877//5877 3098//3098\nf 1346//1346 3098//3098 1534//1534\nf 2149//2149 1478//1478 1465//1465\nf 1292//1292 3414//3414 5788//5788\nf 3010//3010 5877//5877 3162//3162\nf 5697//5697 1519//1519 1465//1465\nf 2932//2932 3007//3007 3157//3157\nf 3346//3346 5280//5280 1182//1182\nf 1534//1534 1533//1533 3182//3182\nf 1683//1683 3010//3010 5910//5910\nf 6045//6045 1286//1286 6148//6148\nf 1460//1460 5998//5998 5257//5257\nf 2951//2951 1654//1654 3102//3102\nf 3000//3000 1683//1683 5910//5910\nf 5688//5688 3116//3116 1548//1548\nf 5886//5886 5380//5380 5123//5123\nf 1459//1459 5441//5441 2932//2932\nf 5697//5697 5910//5910 1519//1519\nf 5581//5581 5688//5688 1485//1485\nf 3088//3088 5493//5493 6050//6050\nf 1459//1459 2932//2932 5680//5680\nf 3015//3015 1669//1669 3097//3097\nf 3015//3015 1467//1467 2933//2933\nf 3090//3090 3472//3472 1431//1431\nf 2951//2951 2285//2285 5547//5547\nf 2951//2951 3102//3102 2285//2285\nf 6005//6005 5356//5356 5701//5701\nf 3007//3007 2932//2932 5441//5441\nf 5547//5547 6083//6083 5423//5423\nf 3152//3152 1654//1654 2951//2951\nf 2932//2932 6144//6144 5680//5680\nf 5387//5387 1450//1450 3240//3240\nf 3042//3042 5417//5417 2964//2964\nf 5258//5258 5591//5591 5953//5953\nf 3073//3073 3072//3072 5760//5760\nf 3212//3212 3377//3377 3124//3124\nf 3323//3323 1329//1329 2838//2838\nf 5387//5387 3042//3042 1450//1450\nf 3239//3239 5435//5435 1368//1368\nf 5473//5473 5416//5416 3233//3233\nf 3124//3124 3247//3247 1694//1694\nf 1360//1360 1427//1427 3212//3212\nf 2923//2923 6118//6118 1697//1697\nf 5990//5990 6118//6118 2923//2923\nf 5746//5746 5971//5971 2923//2923\nf 3079//3079 3146//3146 5971//5971\nf 1500//1500 3405//3405 3284//3284\nf 1552//1552 3367//3367 6118//6118\nf 6064//6064 1736//1736 1535//1535\nf 1552//1552 5903//5903 3367//3367\nf 5591//5591 5258//5258 3087//3087\nf 5583//5583 5917//5917 2962//2962\nf 2301//2301 2986//2986 3283//3283\nf 2756//2756 1305//1305 2986//2986\nf 1446//1446 1473//1473 3092//3092\nf 3100//3100 2928//2928 6081//6081\nf 1626//1626 5292//5292 1715//1715\nf 2928//2928 5793//5793 5738//5738\nf 1769//1769 3255//3255 1425//1425\nf 5692//5692 3215//3215 5401//5401\nf 2755//2755 1305//1305 2756//2756\nf 3217//3217 2915//2915 1473//1473\nf 6081//6081 5299//5299 3256//3256\nf 6081//6081 2928//2928 5738//5738\nf 1463//1463 1758//1758 1263//1263\nf 1378//1378 3071//3071 5300//5300\nf 3303//3303 5901//5901 3193//3193\nf 3140//3140 5617//5617 3078//3078\nf 5010//5010 2828//2828 2965//2965\nf 1465//1465 1462//1462 5697//5697\nf 5356//5356 6005//6005 1683//1683\nf 3555//3555 3461//3461 1513//1513\nf 6042//6042 5125//5125 3406//3406\nf 3193//3193 5374//5374 3303//3303\nf 5356//5356 3157//3157 3007//3007\nf 6051//6051 5356//5356 1683//1683\nf 3392//3392 1260//1260 5395//5395\nf 5788//5788 3414//3414 1759//1759\nf 5441//5441 1467//1467 3007//3007\nf 2868//2868 2251//2251 1431//1431\nf 6030//6030 5867//5867 6084//6084\nf 5788//5788 3090//3090 1292//1292\nf 1316//1316 2285//2285 1415//1415\nf 6030//6030 5399//5399 5867//5867\nf 6084//6084 5839//5839 3164//3164\nf 2868//2868 6097//6097 2251//2251\nf 5597//5597 5552//5552 1291//1291\nf 3268//3268 5552//5552 5663//5663\nf 6097//6097 5688//5688 5581//5581\nf 6097//6097 5493//5493 3088//3088\nf 5688//5688 6097//6097 3088//3088\nf 5552//5552 5969//5969 5663//5663\nf 5242//5242 6132//6132 5493//5493\nf 1292//1292 3090//3090 1652//1652\nf 1292//1292 3270//3270 3414//3414\nf 1431//1431 3472//3472 5242//5242\nf 5680//5680 5257//5257 1459//1459\nf 3029//3029 3164//3164 3190//3190\nf 5257//5257 5247//5247 1518//1518\nf 1518//1518 1459//1459 5257//5257\nf 1669//1669 5901//5901 1439//1439\nf 5423//5423 3431//3431 3152//3152\nf 1439//1439 3097//3097 1669//1669\nf 2285//2285 1316//1316 3395//3395\nf 2933//2933 1467//1467 5441//5441\nf 1581//1581 3015//3015 1415//1415\nf 5477//5477 5701//5701 3097//3097\nf 2951//2951 5423//5423 3152//3152\nf 5853//5853 1591//1591 5244//5244\nf 3049//3049 5685//5685 5244//5244\nf 5547//5547 2285//2285 3395//3395\nf 1533//1533 1381//1381 2095//2095\nf 1316//1316 5247//5247 3395//3395\nf 3191//3191 5398//5398 1481//1481\nf 5332//5332 5454//5454 3279//3279\nf 1369//1369 5298//5298 5736//5736\nf 5298//5298 5481//5481 5736//5736\nf 1318//1318 3093//3093 5120//5120\nf 3282//3282 2108//2108 5323//5323\nf 5352//5352 3249//3249 1172//1172\nf 3036//3036 5729//5729 3216//3216\nf 2108//2108 3234//3234 5323//5323\nf 1371//1371 3187//3187 5574//5574\nf 2756//2756 2986//2986 2301//2301\nf 5396//5396 5583//5583 3283//3283\nf 2830//2830 2992//2992 1496//1496\nf 3240//3240 5426//5426 5248//5248\nf 3254//3254 3240//3240 1450//1450\nf 5387//5387 5775//5775 5417//5417\nf 6001//6001 1339//1339 1344//1344\nf 3260//3260 5282//5282 3124//3124\nf 5689//5689 5479//5479 2834//2834\nf 3238//3238 2914//2914 5828//5828\nf 5417//5417 3042//3042 5387//5387\nf 3291//3291 1450//1450 3042//3042\nf 1342//1342 2176//2176 6138//6138\nf 5769//5769 1619//1619 3215//3215\nf 5971//5971 3146//3146 1486//1486\nf 3382//3382 1271//1271 5845//5845\nf 2838//2838 1500//1500 3323//3323\nf 1344//1344 3239//3239 6001//6001\nf 5692//5692 5696//5696 3329//3329\nf 5696//5696 5692//5692 5351//5351\nf 3329//3329 5696//5696 5596//5596\nf 5596//5596 3261//3261 5903//5903\nf 958//958 5809//5809 3021//3021\nf 3046//3046 1693//1693 5351//5351\nf 5528//5528 5505//5505 1715//1715\nf 1693//1693 2728//2728 5696//5696\nf 3246//3246 5583//5583 5396//5396\nf 2099//2099 3232//3232 1380//1380\nf 3309//3309 2755//2755 5944//5944\nf 3149//3149 5382//5382 5424//5424\nf 3249//3249 6088//6088 3577//3577\nf 5723//5723 1430//1430 3036//3036\nf 1318//1318 3041//3041 1648//1648\nf 2284//2284 3359//3359 1367//1367\nf 5870//5870 5782//5782 5661//5661\nf 3303//3303 5419//5419 1381//1381\nf 3256//3256 3100//3100 6081//6081\nf 3295//3295 3115//3115 3021//3021\nf 5738//5738 3006//3006 1608//1608\nf 5611//5611 1380//1380 3232//3232\nf 1758//1758 3091//3091 1263//1263\nf 5793//5793 5591//5591 3094//3094\nf 5283//5283 2301//2301 1793//1793\nf 5244//5244 5685//5685 1719//1719\nf 1562//1562 5681//5681 3118//3118\nf 5923//5923 5812//5812 3118//3118\nf 1669//1669 3193//3193 5901//5901\nf 1373//1373 5280//5280 3346//3346\nf 3140//3140 3078//3078 5649//5649\nf 3163//3163 1562//1562 2121//2121\nf 1439//1439 5901//5901 1533//1533\nf 1767//1767 2554//2554 1873//1873\nf 2955//2955 5853//5853 1647//1647\nf 1759//1759 5886//5886 5788//5788\nf 5280//5280 3341//3341 1347//1347\nf 5877//5877 6005//6005 5477//5477\nf 3162//3162 1519//1519 5910//5910\nf 5867//5867 5857//5857 1651//1651\nf 6005//6005 5877//5877 3010//3010\nf 3098//3098 5877//5877 5477//5477\nf 3341//3341 5802//5802 1347//1347\nf 3341//3341 5785//5785 5802//5802\nf 2251//2251 6097//6097 3190//3190\nf 1484//1484 5785//5785 3341//3341\nf 3392//3392 3253//3253 1260//1260\nf 3253//3253 1401//1401 1358//1358\nf 5788//5788 5886//5886 3472//3472\nf 6045//6045 1212//1212 2632//2632\nf 5653//5653 6148//6148 6050//6050\nf 5581//5581 3190//3190 6097//6097\nf 3407//3407 5663//5663 5969//5969\nf 1291//1291 6083//6083 5956//5956\nf 5931//5931 3116//3116 3088//3088\nf 5380//5380 5550//5550 1183//1183\nf 5653//5653 6132//6132 1183//1183\nf 2868//2868 5242//5242 5493//5493\nf 6132//6132 5653//5653 6050//6050\nf 1548//1548 1485//1485 5688//5688\nf 6083//6083 5547//5547 5956//5956\nf 5663//5663 1337//1337 3268//3268\nf 1316//1316 2933//2933 1518//1518\nf 1415//1415 3015//3015 2933//2933\nf 6083//6083 5964//5964 5423//5423\nf 1434//1434 5998//5998 1485//1485\nf 1295//1295 1157//1157 6074//6074\nf 1434//1434 5247//5247 5998//5998\nf 5324//5324 5720//5720 1157//1157\nf 5901//5901 3303//3303 1381//1381\nf 5123//5123 6132//6132 5242//5242\nf 1183//1183 6132//6132 5123//5123\nf 1415//1415 3102//3102 1581//1581\nf 1581//1581 1669//1669 3015//3015\nf 1415//1415 2933//2933 1316//1316\nf 1647//1647 5244//5244 1719//1719\nf 3431//3431 5864//5864 2079//2079\nf 3109//3109 5637//5637 1331//1331\nf 5391//5391 5787//5787 3502//3502\nf 6078//6078 3093//3093 3279//3279\nf 3044//3044 1452//1452 6068//6068\nf 5973//5973 3361//3361 1345//1345\nf 5365//5365 3228//3228 3339//3339\nf 5371//5371 1164//1164 5362//5362\nf 6096//6096 5685//5685 3114//3114\nf 3102//3102 1654//1654 1343//1343\nf 2577//2577 4219//4219 1754//1754\nf 1669//1669 1581//1581 3193//3193\nf 3078//3078 1262//1262 5759//5759\nf 3153//3153 2079//2079 3317//3317\nf 1571//1571 5288//5288 3201//3201\nf 3304//3304 5835//5835 1211//1211\nf 5492//5492 5530//5530 5288//5288\nf 5288//5288 1370//1370 3201//3201\nf 5492//5492 5288//5288 1248//1248\nf 3044//3044 5391//5391 1452//1452\nf 1370//1370 1509//1509 3201//3201\nf 1481//1481 1430//1430 5723//5723\nf 1481//1481 1369//1369 1430//1430\nf 3044//3044 5398//5398 5391//5391\nf 5737//5737 5822//5822 3339//3339\nf 3150//3150 1371//1371 3246//3246\nf 5729//5729 3036//3036 1571//1571\nf 3417//3417 3219//3219 5729//5729\nf 3219//3219 3216//3216 5729//5729\nf 5729//5729 5451//5451 3417//3417\nf 5382//5382 1361//1361 2964//2964\nf 3159//3159 3420//3420 3798//3798\nf 3249//3249 3250//3250 2919//2919\nf 5699//5699 3340//3340 1365//1365\nf 5782//5782 5870//5870 5974//5974\nf 2108//2108 6090//6090 3234//3234\nf 3073//3073 3433//3433 3072//3072\nf 5514//5514 3482//3482 2602//2602\nf 2909//2909 3309//3309 1374//1374\nf 1541//1541 5290//5290 3291//3291\nf 6035//6035 5424//5424 5574//5574\nf 5424//5424 5917//5917 5574//5574\nf 1257//1257 5251//5251 1339//1339\nf 6032//6032 1360//1360 3289//3289\nf 3211//3211 3248//3248 3377//3377\nf 1368//1368 5435//5435 5479//5479\nf 1364//1364 3377//3377 3248//3248\nf 5282//5282 3212//3212 3124//3124\nf 5282//5282 1360//1360 3212//3212\nf 1361//1361 1541//1541 3291//3291\nf 5424//5424 6035//6035 5514//5514\nf 3168//3168 2301//2301 3283//3283\nf 1168//1168 1307//1307 2143//2143\nf 1427//1427 1360//1360 3314//3314\nf 3289//3289 1450//1450 6032//6032\nf 5435//5435 3239//3239 1344//1344\nf 1329//1329 2834//2834 5479//5479\nf 2923//2923 5971//5971 5748//5748\nf 3247//3247 3377//3377 1364//1364\nf 3207//3207 5231//5231 3203//3203\nf 3203//3203 3167//3167 3020//3020\nf 1449//1449 5256//5256 1500//1500\nf 1271//1271 5843//5843 5845//5845\nf 1242//1242 3284//3284 3405//3405\nf 6118//6118 3284//3284 1242//1242\nf 3239//3239 5702//5702 5992//5992\nf 5769//5769 5692//5692 3327//3327\nf 5843//5843 1339//1339 6153//6153\nf 3329//3329 5651//5651 3327//3327\nf 5692//5692 5769//5769 3215//3215\nf 1552//1552 5340//5340 1273//1273\nf 6062//6062 5717//5717 1573//1573\nf 3327//3327 3066//3066 5769//5769\nf 1273//1273 5903//5903 1552//1552\nf 5911//5911 2963//2963 3437//3437\nf 3115//3115 3295//3295 5817//5817\nf 5791//5791 3072//3072 2555//2555\nf 5705//5705 6165//6165 3322//3322\nf 2938//2938 2556//2556 1704//1704\nf 2099//2099 5944//5944 2755//2755\nf 3200//3200 3485//3485 5671//5671\nf 2909//2909 1167//1167 1305//1305\nf 3313//3313 1218//1218 5186//5186\nf 3322//3322 3464//3464 2684//2684\nf 1796//1796 3440//3440 131//131\nf 3464//3464 5411//5411 3030//3030\nf 5338//5338 6124//6124 3145//3145\nf 3798//3798 3420//3420 5277//5277\nf 2777//2777 5411//5411 3322//3322\nf 3376//3376 6046//6046 3266//3266\nf 1285//1285 3798//3798 1451//1451\nf 3199//3199 5652//5652 2108//2108\nf 5382//5382 3149//3149 1361//1361\nf 5661//5661 5365//5365 3219//3219\nf 5661//5661 3219//3219 3417//3417\nf 2093//2093 1285//1285 1365//1365\nf 5567//5567 5925//5925 1227//1227\nf 5723//5723 6078//6078 1481//1481\nf 5822//5822 5634//5634 6105//6105\nf 3041//3041 5120//5120 1528//1528\nf 3340//3340 3281//3281 1365//1365\nf 3340//3340 3282//3282 3281//3281\nf 1429//1429 5585//5585 1350//1350\nf 3041//3041 1528//1528 3339//3339\nf 1199//1199 4436//4436 4379//4379\nf 5571//5571 1522//1522 5221//5221\nf 1273//1273 5340//5340 5651//5651\nf 3021//3021 3112//3112 3295//3295\nf 1758//1758 3112//3112 5809//5809\nf 1247//1247 1437//1437 5665//5665\nf 3295//3295 3387//3387 5817//5817\nf 3115//3115 5817//5817 1619//1619\nf 1517//1517 3437//3437 5325//5325\nf 5646//5646 5611//5611 1263//1263\nf 2915//2915 5890//5890 2827//2827\nf 1497//1497 5611//5611 2145//2145\nf 5601//5601 5809//5809 5512//5512\nf 5819//5819 5573//5573 5436//5436\nf 3485//3485 3577//3577 3432//3432\nf 5646//5646 1263//1263 3091//3091\nf 3232//3232 2145//2145 5611//5611\nf 6096//6096 5617//5617 3140//3140\nf 5316//5316 1537//1537 1927//1927\nf 5289//5289 5507//5507 3408//3408\nf 1691//1691 3471//3471 1547//1547\nf 5617//5617 6096//6096 5580//5580\nf 5498//5498 5437//5437 1547//1547\nf 2477//2477 5374//5374 5300//5300\nf 5437//5437 5498//5498 5759//5759\nf 5580//5580 3163//3163 5986//5986\nf 3008//3008 5336//5336 5399//5399\nf 5857//5857 1482//1482 1651//1651\nf 1482//1482 5857//5857 2149//2149\nf 5867//5867 5336//5336 5857//5857\nf 3019//3019 5962//5962 5399//5399\nf 1484//1484 3341//3341 1373//1373\nf 1260//1260 3253//3253 5397//5397\nf 3008//3008 5399//5399 5962//5962\nf 5962//5962 6144//6144 6058//6058\nf 3392//3392 3033//3033 3253//3253\nf 1401//1401 5348//5348 1358//1358\nf 1401//1401 5532//5532 5348//5348\nf 6050//6050 5931//5931 3088//3088\nf 5395//5395 1260//1260 1182//1182\nf 6148//6148 5931//5931 6050//6050\nf 3268//3268 1295//1295 5222//5222\nf 1157//1157 5744//5744 6074//6074\nf 1286//1286 1222//1222 1337//1337\nf 6144//6144 5962//5962 3019//3019\nf 1212//1212 5849//5849 2632//2632\nf 3335//3335 5222//5222 1295//1295\nf 5597//5597 5956//5956 1434//1434\nf 5969//5969 5597//5597 1548//1548\nf 5969//5969 5552//5552 5597//5597\nf 3272//3272 3268//3268 5222//5222\nf 1291//1291 5956//5956 5597//5597\nf 5222//5222 5961//5961 3272//3272\nf 5956//5956 5547//5547 3395//3395\nf 1222//1222 5324//5324 1337//1337\nf 5222//5222 3335//3335 5961//5961\nf 1291//1291 5552//5552 3272//3272\nf 5324//5324 1222//1222 5720//5720\nf 1434//1434 1485//1485 1548//1548\nf 1317//1317 5281//5281 2175//2175\nf 5720//5720 5549//5549 3299//3299\nf 1127//1127 1458//1458 2119//2119\nf 5773//5773 5686//5686 5987//5987\nf 5247//5247 1316//1316 1518//1518\nf 1378//1378 1719//1719 3071//3071\nf 3097//3097 1439//1439 5477//5477\nf 5404//5404 1375//1375 5664//5664\nf 5773//5773 6125//6125 5686//5686\nf 1304//1304 5850//5850 1196//1196\nf 6078//6078 5723//5723 5120//5120\nf 1259//1259 3278//3278 3348//3348\nf 5947//5947 1331//1331 6043//6043\nf 5661//5661 5782//5782 3228//3228\nf 5870//5870 5661//5661 3417//3417\nf 5415//5415 3331//3331 6043//6043\nf 1591//1591 2811//2811 3083//3083\nf 2811//2811 1591//1591 5587//5587\nf 2882//2882 2811//2811 1505//1505\nf 5986//5986 5296//5296 1748//1748\nf 5371//5371 5302//5302 2167//2167\nf 2095//2095 3182//3182 1533//1533\nf 5822//5822 3041//3041 3339//3339\nf 1648//1648 3041//3041 5822//5822\nf 5947//5947 5388//5388 6155//6155\nf 1350//1350 5517//5517 1483//1483\nf 5484//5484 5654//5654 1258//1258\nf 5815//5815 5337//5337 1336//1336\nf 3331//3331 3018//3018 6043//6043\nf 6094//6094 5481//5481 5298//5298\nf 1428//1428 3242//3242 1570//1570\nf 5398//5398 5787//5787 5391//5391\nf 3381//3381 3412//3412 3107//3107\nf 1253//1253 3307//3307 3242//3242\nf 3307//3307 3501//3501 1345//1345\nf 1369//1369 5492//5492 1430//1430\nf 1481//1481 3277//3277 1369//1369\nf 1481//1481 5398//5398 3277//3277\nf 1430//1430 5492//5492 1248//1248\nf 5391//5391 1259//1259 1452//1452\nf 4025//4025 1853//1853 3667//3667\nf 1336//1336 1509//1509 5815//5815\nf 1571//1571 5312//5312 5729//5729\nf 5312//5312 1571//1571 3201//3201\nf 5288//5288 5530//5530 1370//1370\nf 3242//3242 1428//1428 1253//1253\nf 6094//6094 1254//1254 5481//5481\nf 1211//1211 6090//6090 1584//1584\nf 3361//3361 3307//3307 1345//1345\nf 5298//5298 3277//3277 3043//3043\nf 1053//1053 1253//1253 5893//5893\nf 3359//3359 5733//5733 1367//1367\nf 5572//5572 5742//5742 5848//5848\nf 1248//1248 1571//1571 3036//3036\nf 1509//1509 2284//2284 5815//5815\nf 1393//1393 1210//1210 5835//5835\nf 3304//3304 1393//1393 5835//5835\nf 3216//3216 5723//5723 3036//3036\nf 3319//3319 5451//5451 5337//5337\nf 5974//5974 5870//5870 3319//3319\nf 1509//1509 5973//5973 2284//2284\nf 1570//1570 5481//5481 1428//1428\nf 3242//3242 3361//3361 1570//1570\nf 5566//5566 5959//5959 1151//1151\nf 5338//5338 2093//2093 6124//6124\nf 5770//5770 3403//3403 1201//1201\nf 3159//3159 3206//3206 3420//3420\nf 3065//3065 3340//3340 5699//5699\nf 1450//1450 3291//3291 6032//6032\nf 3283//3283 5583//5583 2962//2962\nf 3150//3150 3187//3187 1371//1371\nf 5760//5760 5791//5791 2792//2792\nf 1451//1451 3798//3798 5277//5277\nf 1694//1694 5231//5231 2826//2826\nf 1694//1694 3247//3247 3203//3203\nf 1360//1360 6032//6032 5290//5290\nf 5417//5417 2962//2962 2964//2964\nf 1361//1361 3149//3149 1541//1541\nf 1329//1329 3154//3154 2838//2838\nf 1368//1368 5479//5479 5689//5689\nf 5769//5769 5629//5629 1619//1619\nf 1546//1546 3181//3181 2647//2647\nf 2728//2728 1693//1693 1736//1736\nf 5717//5717 6062//6062 1633//1633\nf 2920//2920 3491//3491 5512//5512\nf 5692//5692 3329//3329 3327//3327\nf 958//958 5251//5251 5512//5512\nf 1257//1257 3483//3483 2920//2920\nf 3405//3405 1500//1500 2838//2838\nf 2963//2963 5325//5325 3437//3437\nf 5794//5794 3115//3115 3067//3067\nf 5340//5340 3293//3293 5651//5651\nf 5256//5256 2074//2074 3323//3323\nf 5812//5812 1537//1537 1605//1605\nf 2435//2435 1807//1807 1836//1836\nf 2547//2547 2426//2426 1624//1624\nf 3340//3340 5974//5974 3199//3199\nf 3432//3432 3433//3433 5671//5671\nf 5421//5421 6088//6088 6129//6129\nf 3224//3224 5782//5782 3065//3065\nf 1285//1285 2093//2093 3798//3798\nf 3224//3224 3065//3065 3226//3226\nf 5421//5421 3224//3224 3226//3226\nf 5120//5120 3093//3093 6078//6078\nf 6020//6020 5484//5484 1648//1648\nf 6020//6020 5654//5654 5484//5484\nf 3339//3339 3228//3228 5737//5737\nf 3218//3218 2919//2919 5737//5737\nf 2919//2919 3250//3250 5634//5634\nf 1350//1350 3454//3454 5517//5517\nf 1609//1609 6158//6158 5221//5221\nf 2758//2758 2712//2712 1768//1768\nf 1756//1756 5726//5726 3243//3243\nf 5665//5665 3404//3404 1247//1247\nf 5794//5794 958//958 3021//3021\nf 6153//6153 5251//5251 958//958\nf 3264//3264 3180//3180 5946//5946\nf 5601//5601 3091//3091 1758//1758\nf 2963//2963 2143//2143 1307//1307\nf 6098//6098 2044//2044 5573//5573\nf 5944//5944 5751//5751 3309//3309\nf 2143//2143 5233//5233 1168//1168\nf 6063//6063 2835//2835 1374//1374\nf 5352//5352 3250//3250 3249//3249\nf 3485//3485 1172//1172 3577//3577\nf 3408//3408 5507//5507 3192//3192\nf 2953//2953 3406//3406 5532//5532\nf 1748//1748 5347//5347 5986//5986\nf 5676//5676 5759//5759 3251//3251\nf 3190//3190 5581//5581 1460//1460\nf 3251//3251 5759//5759 1262//1262\nf 1262//1262 5617//5617 5347//5347\nf 6076//6076 5125//5125 1015//1015\nf 1759//1759 3414//3414 1182//1182\nf 1358//1358 5550//5550 5380//5380\nf 5785//5785 1519//1519 3162//3162\nf 2953//2953 3498//3498 6042//6042\nf 1462//1462 1478//1478 5336//5336\nf 3253//3253 3033//3033 1401//1401\nf 1166//1166 5849//5849 5538//5538\nf 1157//1157 1453//1453 5744//5744\nf 1460//1460 3029//3029 3190//3190\nf 1157//1157 1295//1295 5324//5324\nf 3335//3335 1295//1295 6074//6074\nf 1222//1222 5549//5549 5720//5720\nf 3299//3299 1127//1127 5936//5936\nf 2175//2175 5281//5281 3259//3259\nf 5961//5961 1376//1376 3272//3272\nf 3153//3153 3316//3316 1654//1654\nf 5281//5281 3311//3311 5404//5404\nf 1643//1643 3259//3259 5664//5664\nf 5961//5961 1375//1375 3310//3310\nf 1376//1376 3310//3310 5964//5964\nf 5547//5547 5423//5423 2951//2951\nf 3277//3277 5298//5298 1369//1369\nf 3278//3278 3271//3271 3348//3348\nf 6162//6162 3465//3465 3331//3331\nf 5484//5484 1318//1318 1648//1648\nf 1528//1528 5365//5365 3339//3339\nf 5637//5637 5415//5415 6043//6043\nf 3201//3201 1509//1509 1336//1336\nf 1196//1196 5850//5850 6162//6162\nf 1304//1304 5237//5237 5425//5425\nf 5679//5679 5508//5508 3348//3348\nf 3310//3310 1376//1376 5961//5961\nf 1719//1719 5685//5685 6096//6096\nf 1164//1164 1165//1165 5362//5362\nf 6129//6129 2919//2919 3218//3218\nf 3347//3347 3354//3354 5614//5614\nf 1272//1272 5425//5425 5237//5237\nf 3109//3109 5332//5332 1258//1258\nf 3109//3109 1331//1331 5332//5332\nf 5947//5947 6155//6155 3502//3502\nf 3347//3347 5482//5482 1227//1227\nf 5403//5403 1720//1720 5841//5841\nf 3433//3433 3432//3432 2684//2684\nf 3432//3432 5705//5705 2684//2684\nf 5454//5454 1331//1331 5947//5947\nf 3467//3467 3075//3075 1226//1226\nf 5873//5873 3610//3610 1354//1354\nf 3467//3467 5508//5508 3075//3075\nf 5644//5644 6028//6028 5710//5710\nf 1430//1430 1248//1248 3036//3036\nf 1469//1469 5641//5641 5656//5656\nf 3277//3277 3044//3044 3043//3043\nf 1270//1270 3534//3534 5893//5893\nf 5736//5736 5481//5481 1570//1570\nf 3277//3277 5398//5398 3044//3044\nf 3043//3043 6166//6166 6094//6094\nf 3359//3359 2284//2284 5973//5973\nf 6028//6028 1270//1270 5893//5893\nf 3230//3230 5644//5644 3349//3349\nf 3349//3349 5486//5486 5656//5656\nf 5893//5893 3534//3534 5836//5836\nf 5492//5492 5736//5736 5530//5530\nf 1211//1211 1367//1367 3304//3304\nf 5710//5710 6028//6028 1253//1253\nf 1393//1393 5315//5315 1210//1210\nf 1254//1254 6094//6094 5486//5486\nf 3349//3349 5644//5644 5710//5710\nf 5848//5848 3488//3488 5500//5500\nf 3839//3839 1079//1079 1068//1068\nf 5396//5396 1550//1550 3246//3246\nf 3218//3218 3224//3224 5421//5421\nf 1167//1167 2909//2909 2835//2835\nf 3566//3566 5589//5589 3446//3446\nf 3030//3030 3072//3072 2684//2684\nf 1541//1541 1288//1288 5717//5717\nf 6032//6032 3291//3291 5290//5290\nf 2834//2834 2074//2074 3248//3248\nf 2116//2116 5445//5445 1573//1573\nf 3312//3312 6075//6075 2607//2607\nf 3312//3312 6171//6171 6075//6075\nf 3248//3248 5689//5689 2834//2834\nf 2834//2834 1329//1329 3323//3323\nf 5734//5734 1271//1271 3154//3154\nf 2074//2074 3167//3167 1364//1364\nf 3020//3020 3326//3326 3203//3203\nf 3067//3067 1308//1308 5794//5794\nf 3067//3067 5629//5629 1308//1308\nf 1271//1271 5734//5734 5843//5843\nf 5422//5422 5681//5681 5726//5726\nf 1310//1310 1143//1143 3403//3403\nf 5634//5634 5737//5737 2919//2919\nf 5671//5671 3433//3433 1424//1424\nf 5791//5791 3150//3150 2792//2792\nf 2792//2792 3246//3246 1550//1550\nf 5737//5737 3228//3228 3218//3218\nf 3226//3226 1363//1363 6165//6165\nf 3340//3340 3065//3065 5974//5974\nf 3065//3065 5782//5782 5974//5974\nf 3283//3283 2986//2986 5396//5396\nf 1424//1424 5313//5313 5485//5485\nf 5440//5440 1197//1197 5614//5614\nf 3228//3228 5365//5365 5661//5661\nf 5585//5585 5482//5482 3454//3454\nf 3228//3228 5782//5782 3224//3224\nf 5585//5585 3454//3454 1350//1350\nf 5365//5365 1528//1528 3219//3219\nf 3302//3302 3110//3110 1685//1685\nf 3237//3237 3243//3243 5499//5499\nf 2143//2143 3493//3493 2176//2176\nf 5809//5809 3112//3112 3021//3021\nf 3493//3493 2143//2143 2963//2963\nf 3091//3091 3404//3404 5646//5646\nf 3264//3264 5536//5536 1463//1463\nf 3325//3325 5659//5659 5789//5789\nf 5944//5944 3325//3325 5751//5751\nf 2044//2044 1747//1747 5513//5513\nf 1310//1310 1410//1410 1143//1143\nf 1374//1374 1241//1241 6063//6063\nf 6063//6063 1241//1241 5313//5313\nf 5923//5923 5422//5422 1927//1927\nf 1015//1015 2924//2924 6076//6076\nf 3406//3406 5125//5125 5704//5704\nf 5649//5649 5419//5419 2477//2477\nf 1683//1683 6005//6005 3010//3010\nf 5714//5714 3192//3192 1015//1015\nf 6042//6042 1244//1244 5714//5714\nf 5802//5802 5785//5785 1346//1346\nf 1759//1759 5397//5397 5886//5886\nf 5336//5336 3008//3008 1462//1462\nf 1652//1652 6084//6084 1651//1651\nf 1652//1652 5839//5839 6084//6084\nf 1244//1244 3408//3408 5714//5714\nf 1691//1691 5437//5437 1243//1243\nf 5397//5397 1759//1759 1260//1260\nf 5849//5849 5348//5348 5538//5538\nf 1183//1183 5123//5123 5380//5380\nf 5886//5886 5397//5397 5380//5380\nf 3346//3346 1482//1482 1373//1373\nf 5397//5397 3253//3253 1358//1358\nf 5680//5680 3019//3019 3029//3029\nf 5680//5680 6144//6144 3019//3019\nf 3116//3116 5969//5969 1548//1548\nf 1295//1295 3268//3268 5324//5324\nf 3116//3116 5688//5688 3088//3088\nf 1403//1403 5375//5375 5526//5526\nf 5931//5931 3407//3407 5969//5969\nf 5931//5931 6148//6148 3407//3407\nf 5686//5686 1522//1522 5571//5571\nf 1458//1458 6076//6076 2119//2119\nf 5957//5957 5561//5561 3549//3549\nf 5936//5936 1127//1127 2119//2119\nf 5864//5864 3431//3431 3311//3311\nf 5961//5961 3335//3335 1375//1375\nf 5686//5686 3452//3452 1522//1522\nf 1684//1684 2797//2797 2001//2001\nf 3317//3317 1378//1378 3153//3153\nf 5499//5499 1408//1408 3237//3237\nf 3431//3431 2079//2079 3152//3152\nf 6125//6125 5241//5241 5686//5686\nf 1284//1284 3288//3288 6125//6125\nf 3431//3431 5423//5423 5964//5964\nf 3290//3290 5252//5252 5795//5795\nf 3107//3107 3075//3075 5508//5508\nf 5255//5255 3292//3292 3379//3379\nf 3122//3122 1124//1124 5856//5856\nf 5541//5541 3292//3292 5255//5255\nf 1323//1323 1124//1124 5541//5541\nf 5508//5508 3467//3467 6068//6068\nf 5255//5255 5728//5728 6155//6155\nf 5508//5508 5679//5679 3107//3107\nf 3454//3454 5482//5482 5594//5594\nf 1483//1483 6105//6105 1350//1350\nf 3502//3502 1259//1259 5391//5391\nf 3440//3440 1200//1200 2417//2417\nf 3243//3243 3237//3237 1756//1756\nf 5987//5987 3334//3334 5773//5773\nf 5925//5925 3578//3578 3354//3354\nf 2647//2647 1600//1600 2011//2011\nf 5302//5302 5935//5935 2167//2167\nf 3302//3302 1756//1756 3237//3237\nf 5567//5567 1227//1227 5585//5585\nf 6129//6129 6088//6088 3249//3249\nf 1197//1197 5885//5885 5439//5439\nf 1201//1201 5483//5483 5691//5691\nf 5313//5313 3586//3586 1747//1747\nf 3338//3338 5425//5425 1272//1272\nf 5950//5950 5830//5830 5707//5707\nf 3348//3348 5508//5508 1452//1452\nf 3348//3348 3271//3271 5679//5679\nf 3271//3271 5873//5873 5679//5679\nf 3075//3075 3412//3412 1469//1469\nf 3107//3107 5679//5679 5873//5873\nf 3278//3278 6155//6155 5728//5728\nf 5787//5787 5398//5398 3191//3191\nf 3107//3107 5873//5873 3381//3381\nf 6079//6079 3171//3171 5952//5952\nf 1301//1301 1270//1270 1322//1322\nf 3171//3171 6145//6145 5952//5952\nf 1322//1322 1270//1270 3231//3231\nf 6089//6089 1366//1366 1215//1215\nf 6100//6100 3231//3231 5952//5952\nf 5736//5736 5492//5492 1369//1369\nf 1248//1248 5288//5288 1571//1571\nf 3231//3231 3230//3230 5952//5952\nf 6079//6079 5641//5641 3171//3171\nf 5632//5632 3356//3356 2132//2132\nf 1366//1366 6168//6168 3435//3435\nf 5675//5675 1215//1215 3435//3435\nf 1253//1253 1428//1428 5710//5710\nf 5656//5656 6079//6079 3230//3230\nf 3230//3230 3349//3349 5656//5656\nf 5572//5572 1290//1290 1319//1319\nf 5900//5900 3488//3488 5742//5742\nf 3279//3279 3093//3093 5332//5332\nf 6095//6095 5315//5315 1393//1393\nf 5995//5995 5733//5733 1290//1290\nf 3030//3030 2555//2555 3072//3072\nf 1365//1365 3281//3281 2093//2093\nf 1365//1365 1285//1285 3175//3175\nf 3159//3159 2093//2093 5338//5338\nf 1079//1079 5579//5579 5378//5378\nf 5305//5305 6171//6171 1402//1402\nf 3175//3175 5699//5699 1365//1365\nf 6165//6165 5421//5421 3226//3226\nf 5186//5186 3324//3324 5589//5589\nf 3313//3313 5186//5186 5889//5889\nf 3324//3324 1216//1216 5618//5618\nf 5186//5186 5589//5589 5889//5889\nf 5282//5282 3260//3260 1416//1416\nf 5271//5271 1342//1342 5648//5648\nf 3312//3312 1402//1402 6171//6171\nf 1068//1068 1079//1079 5563//5563\nf 3045//3045 5436//5436 1245//1245\nf 5845//5845 3066//3066 3382//3382\nf 5734//5734 5435//5435 1344//1344\nf 2664//2664 5443//5443 1573//1573\nf 5325//5325 1247//1247 1517//1517\nf 2664//2664 1798//1798 5443//5443\nf 5629//5629 5769//5769 3066//3066\nf 3154//3154 2973//2973 5734//5734\nf 1364//1364 3248//3248 2074//2074\nf 5911//5911 3437//3437 3491//3491\nf 5665//5665 1437//1437 1520//1520\nf 6053//6053 1220//1220 1315//1315\nf 5671//5671 3485//3485 3432//3432\nf 3030//3030 2684//2684 3464//3464\nf 1483//1483 6020//6020 6105//6105\nf 3189//3189 3485//3485 3160//3160\nf 1528//1528 3216//3216 3219//3219\nf 1528//1528 5120//5120 3216//3216\nf 5671//5671 5485//5485 3200//3200\nf 1429//1429 3250//3250 5567//5567\nf 5221//5221 1522//1522 5713//5713\nf 5440//5440 5221//5221 5713//5713\nf 1335//1335 1315//1315 1220//1220\nf 3160//3160 5925//5925 3189//3189\nf 6138//6138 5799//5799 5443//5443\nf 5024//5024 5443//5443 3095//3095\nf 5878//5878 5648//5648 1798//1798\nf 5512//5512 5251//5251 2920//2920\nf 3031//3031 5563//5563 5307//5307\nf 5563//5563 5378//5378 5307//5307\nf 3091//3091 5601//5601 1517//1517\nf 1758//1758 1463//1463 3112//3112\nf 5789//5789 5659//5659 3045//3045\nf 3325//3325 5789//5789 5751//5751\nf 1241//1241 3119//3119 3586//3586\nf 1241//1241 5751//5751 3119//3119\nf 1380//1380 1520//1520 2099//2099\nf 3302//3302 1685//1685 6053//6053\nf 1582//1582 1243//1243 5676//5676\nf 1335//1335 5403//5403 6115//6115\nf 1718//1718 5685//5685 3049//3049\nf 2924//2924 3275//3275 5346//5346\nf 1458//1458 5526//5526 5704//5704\nf 5681//5681 1562//1562 5558//5558\nf 1458//1458 1403//1403 5526//5526\nf 1015//1015 5125//5125 5714//5714\nf 5419//5419 5498//5498 2095//2095\nf 3406//3406 2953//2953 6042//6042\nf 3408//3408 3192//3192 5714//5714\nf 1182//1182 1260//1260 1759//1759\nf 5348//5348 5550//5550 1358//1358\nf 5348//5348 5849//5849 5550//5550\nf 1401//1401 3033//3033 1582//1582\nf 1182//1182 5280//5280 5395//5395\nf 1126//1126 3524//3524 1421//1421\nf 3472//3472 3090//3090 5788//5788\nf 5861//5861 5908//5908 3275//3275\nf 5908//5908 3378//3378 3275//3275\nf 3407//3407 6148//6148 1286//1286\nf 5395//5395 3471//3471 3392//3392\nf 5704//5704 6076//6076 1458//1458\nf 3407//3407 1286//1286 1337//1337\nf 5938//5938 5409//5409 5564//5564\nf 5241//5241 1283//1283 3452//3452\nf 5936//5936 2119//2119 5966//5966\nf 1165//1165 1805//1805 5362//5362\nf 3049//3049 5244//5244 1591//1591\nf 1647//1647 3317//3317 2955//2955\nf 3278//3278 3502//3502 6155//6155\nf 5332//5332 3093//3093 1258//1258\nf 5728//5728 3610//3610 3271//3271\nf 5255//5255 5388//5388 3018//3018\nf 3417//3417 5451//5451 3319//3319\nf 3109//3109 5654//5654 5694//5694\nf 5654//5654 2236//2236 5694//5694\nf 3454//3454 5594//5594 1272//1272\nf 5517//5517 3454//3454 1272//1272\nf 5856//5856 5945//5945 3475//3475\nf 3093//3093 1318//1318 1258//1258\nf 5856//5856 5584//5584 5945//5945\nf 5925//5925 3160//3160 3578//3578\nf 1220//1220 6053//6053 1685//1685\nf 6105//6105 1429//1429 1350//1350\nf 5439//5439 3473//3473 5594//5594\nf 6105//6105 5634//5634 1429//1429\nf 6105//6105 6020//6020 1648//1648\nf 5439//5439 5482//5482 3347//3347\nf 3473//3473 5916//5916 3195//3195\nf 1227//1227 3354//3354 3347//3347\nf 5517//5517 2236//2236 1483//1483\nf 1335//1335 5642//5642 1315//1315\nf 5594//5594 3473//3473 3338//3338\nf 3473//3473 3195//3195 3338//3338\nf 1335//1335 6115//6115 5642//5642\nf 5830//5830 931//931 5707//5707\nf 5728//5728 5255//5255 3379//3379\nf 1240//1240 1162//1162 6150//6150\nf 5830//5830 3627//3627 931//931\nf 5787//5787 5454//5454 3502//3502\nf 1240//1240 3539//3539 1162//1162\nf 3230//3230 6079//6079 5952//5952\nf 6068//6068 3043//3043 3044//3044\nf 3271//3271 3278//3278 5728//5728\nf 1452//1452 5508//5508 6068//6068\nf 1322//1322 3231//3231 6100//6100\nf 5952//5952 6145//6145 6100//6100\nf 3231//3231 5644//5644 3230//3230\nf 3231//3231 1270//1270 5644//5644\nf 1476//1476 5641//5641 3363//3363\nf 6079//6079 5656//5656 5641//5641\nf 1413//1413 3564//3564 1252//1252\nf 5814//5814 3642//3642 5598//5598\nf 1469//1469 1226//1226 3075//3075\nf 5656//5656 5486//5486 1226//1226\nf 1413//1413 2132//2132 3356//3356\nf 5814//5814 1187//1187 3642//3642\nf 6168//6168 6073//6073 5900//5900\nf 5337//5337 5652//5652 3199//3199\nf 1215//1215 1366//1366 3435//3435\nf 1345//1345 1319//1319 3359//3359\nf 1319//1319 5733//5733 3359//3359\nf 3158//3158 1319//1319 3501//3501\nf 1366//1366 5598//5598 3642//3642\nf 3361//3361 5973//5973 1370//1370\nf 1392//1392 5500//5500 5667//5667\nf 3145//3145 5525//5525 6046//6046\nf 1366//1366 3642//3642 6168//6168\nf 1276//1276 3306//3306 5525//5525\nf 6046//6046 5338//5338 3145//3145\nf 5411//5411 2777//2777 1451//1451\nf 2555//2555 2754//2754 5745//5745\nf 3145//3145 6124//6124 5323//5323\nf 6165//6165 1363//1363 3322//3322\nf 3576//3576 3670//3670 5630//5630\nf 5589//5589 5618//5618 3446//3446\nf 1177//1177 3187//3187 2796//2796\nf 3566//3566 1177//1177 5589//5589\nf 3324//3324 5618//5618 5589//5589\nf 5574//5574 5917//5917 1371//1371\nf 5583//5583 3246//3246 1371//1371\nf 1409//1409 5579//5579 3520//3520\nf 2986//2986 1305//1305 1550//1550\nf 3314//3314 5290//5290 5717//5717\nf 1480//1480 1427//1427 3314//3314\nf 3839//3839 3235//3235 5837//5837\nf 1480//1480 1633//1633 1368//1368\nf 3314//3314 5717//5717 1633//1633\nf 5461//5461 6035//6035 2809//2809\nf 5574//5574 3187//3187 2809//2809\nf 6171//6171 1068//1068 6075//6075\nf 1308//1308 5629//5629 5845//5845\nf 2664//2664 1573//1573 5445//5445\nf 3112//3112 1463//1463 5536//5536\nf 5843//5843 5734//5734 1344//1344\nf 5892//5892 1720//1720 5403//5403\nf 5483//5483 1143//1143 5655//5655\nf 5709//5709 3544//3544 2593//2593\nf 3200//3200 3160//3160 3485//3485\nf 2835//2835 6063//6063 3073//3073\nf 1747//1747 3447//3447 5485//5485\nf 3200//3200 3543//3543 3160//3160\nf 6088//6088 6165//6165 5705//5705\nf 5691//5691 5403//5403 5841//5841\nf 1374//1374 5751//5751 1241//1241\nf 5403//5403 1220//1220 5892//5892\nf 3491//3491 2920//2920 5911//5911\nf 3366//3366 3483//3483 3095//3095\nf 3483//3483 3366//3366 5911//5911\nf 5659//5659 5325//5325 1307//1307\nf 5659//5659 1437//1437 1247//1247\nf 5734//5734 2973//2973 5435//5435\nf 2963//2963 3366//3366 3493//3493\nf 5574//5574 2809//2809 6035//6035\nf 3366//3366 5799//5799 3493//3493\nf 5307//5307 5378//5378 6098//6098\nf 1245//1245 5789//5789 3045//3045\nf 5513//5513 5573//5573 2044//2044\nf 2909//2909 2755//2755 3309//3309\nf 1520//1520 1437//1437 3325//3325\nf 2756//2756 5283//5283 2099//2099\nf 5296//5296 5986//5986 2121//2121\nf 1381//1381 1533//1533 5901//5901\nf 5296//5296 1244//1244 1748//1748\nf 5296//5296 5289//5289 3408//3408\nf 5714//5714 5125//5125 6042//6042\nf 6042//6042 3498//3498 1244//1244\nf 5348//5348 5532//5532 5538//5538\nf 1401//1401 1582//1582 5532//5532\nf 5543//5543 3497//3497 5861//5861\nf 2119//2119 6076//6076 2924//2924\nf 5375//5375 5549//5549 3428//3428\nf 1691//1691 1243//1243 3392//3392\nf 1547//1547 5437//5437 1691//1691\nf 3428//3428 6045//6045 2632//2632\nf 3116//3116 5931//5931 5969//5969\nf 1403//1403 3299//3299 5549//5549\nf 1453//1453 3299//3299 5936//5936\nf 5853//5853 1317//1317 5935//5935\nf 5754//5754 5346//5346 3378//3378\nf 1403//1403 5549//5549 5375//5375\nf 1453//1453 5720//5720 3299//3299\nf 3378//3378 5346//5346 3275//3275\nf 1164//1164 5371//5371 1643//1643\nf 5774//5774 5740//5740 3589//3589\nf 5744//5744 1453//1453 5730//5730\nf 1895//1895 2967//2967 2488//2488\nf 87//87 2892//2892 2810//2810\nf 464//464 2879//2879 4192//4192\nf 3060//3060 2417//2417 1200//1200\nf 5250//5250 5553//5553 3381//3381\nf 1235//1235 5232//5232 6087//6087\nf 1333//1333 5771//5771 3285//3285\nf 5541//5541 3122//3122 3292//3292\nf 1196//1196 5637//5637 5694//5694\nf 3438//3438 3538//3538 1340//1340\nf 3458//3458 5985//5985 5883//5883\nf 5694//5694 5637//5637 3109//3109\nf 5454//5454 5332//5332 1331//1331\nf 5454//5454 5787//5787 3279//3279\nf 1333//1333 3285//3285 5584//5584\nf 5120//5120 3041//3041 1318//1318\nf 3452//3452 1283//1283 5240//5240\nf 3333//3333 5708//5708 3549//3549\nf 5320//5320 3689//3689 3640//3640\nf 5482//5482 5585//5585 1227//1227\nf 1227//1227 5925//5925 3354//3354\nf 3195//3195 3438//3438 1340//1340\nf 3195//3195 4992//4992 3438//3438\nf 5482//5482 5439//5439 5594//5594\nf 5725//5725 5645//5645 1161//1161\nf 5942//5942 1414//1414 1302//1302\nf 6149//6149 3707//3707 5515//5515\nf 5524//5524 5724//5724 5515//5515\nf 6150//6150 5950//5950 6140//6140\nf 3707//3707 3276//3276 1341//1341\nf 3379//3379 5607//5607 5674//5674\nf 1240//1240 1070//1070 3539//3539\nf 5988//5988 5246//5246 1162//1162\nf 1240//1240 6150//6150 6057//6057\nf 5777//5777 3357//3357 3565//3565\nf 5787//5787 3191//3191 3279//3279\nf 3357//3357 3276//3276 3565//3565\nf 1226//1226 6166//6166 3467//3467\nf 3075//3075 3107//3107 3412//3412\nf 5388//5388 6043//6043 3018//3018\nf 1323//1323 5541//5541 3018//3018\nf 3349//3349 5710//5710 1254//1254\nf 1322//1322 3336//3336 1301//1301\nf 5486//5486 6166//6166 1226//1226\nf 1252//1252 3671//3671 5763//5763\nf 3434//3434 3262//3262 1252//1252\nf 1192//1192 1322//1322 6100//6100\nf 5298//5298 3043//3043 6094//6094\nf 1213//1213 769//769 6085//6085\nf 3262//3262 2132//2132 1413//1413\nf 3363//3363 5641//5641 1469//1469\nf 1476//1476 1475//1475 3171//3171\nf 5610//5610 5632//5632 2132//2132\nf 6073//6073 5967//5967 5900//5900\nf 3363//3363 3479//3479 1476//1476\nf 3363//3363 1469//1469 3412//3412\nf 3171//3171 5641//5641 1476//1476\nf 5675//5675 3435//3435 5742//5742\nf 6028//6028 5644//5644 1270//1270\nf 6168//6168 5900//5900 3435//3435\nf 6089//6089 1301//1301 6061//6061\nf 3534//3534 1301//1301 6089//6089\nf 3501//3501 3307//3307 1053//1053\nf 1290//1290 5848//5848 1392//1392\nf 5323//5323 6124//6124 3282//3282\nf 3435//3435 5900//5900 5742//5742\nf 3304//3304 5995//5995 1393//1393\nf 3304//3304 1367//1367 5733//5733\nf 1367//1367 1584//1584 2284//2284\nf 5836//5836 1215//1215 5675//5675\nf 3319//3319 3199//3199 5974//5974\nf 5245//5245 5835//5835 1276//1276\nf 5245//5245 6090//6090 1211//1211\nf 1276//1276 5835//5835 1210//1210\nf 6110//6110 1163//1163 1184//1184\nf 5972//5972 5874//5874 1289//1289\nf 5972//5972 5602//5602 5874//5874\nf 5330//5330 3313//3313 5889//5889\nf 5566//5566 3420//3420 5959//5959\nf 3340//3340 3199//3199 3282//3282\nf 5411//5411 1451//1451 2754//2754\nf 1086//1086 3210//3210 1391//1391\nf 1979//1979 1883//1883 2887//2887\nf 3126//3126 5433//5433 2501//2501\nf 5760//5760 1167//1167 2835//2835\nf 5959//5959 5930//5930 5284//5284\nf 1216//1216 3235//3235 5618//5618\nf 1311//1311 2166//2166 3324//3324\nf 1409//1409 5378//5378 5579//5579\nf 3428//3428 2632//2632 5375//5375\nf 1633//1633 1480//1480 3314//3314\nf 5024//5024 6062//6062 1573//1573\nf 1339//1339 5843//5843 1344//1344\nf 2963//2963 5911//5911 3366//3366\nf 5558//5558 3049//3049 3083//3083\nf 1408//1408 6158//6158 3110//3110\nf 3163//3163 3114//3114 1718//1718\nf 3577//3577 6088//6088 5705//5705\nf 5819//5819 3031//3031 5307//5307\nf 3354//3354 3578//3578 5841//5841\nf 5585//5585 1429//1429 5567//5567\nf 3493//3493 6138//6138 2176//2176\nf 3045//3045 1307//1307 1168//1168\nf 5461//5461 3482//3482 6035//6035\nf 6115//6115 5691//5691 5483//5483\nf 6115//6115 5403//5403 5691//5691\nf 1685//1685 3110//3110 1609//1609\nf 5573//5573 5307//5307 6098//6098\nf 1246//1246 6019//6019 1410//1410\nf 1756//1756 3302//3302 5639//5639\nf 5543//5543 3192//3192 5507//5507\nf 5726//5726 5639//5639 5422//5422\nf 5642//5642 3544//3544 5709//5709\nf 3498//3498 2953//2953 3251//3251\nf 1537//1537 5316//5316 5259//5259\nf 5708//5708 5371//5371 5362//5362\nf 3498//3498 3251//3251 5347//5347\nf 1212//1212 1183//1183 5550//5550\nf 1127//1127 3299//3299 1403//1403\nf 5966//5966 5754//5754 3035//3035\nf 2734//2734 1359//1359 1707//1707\nf 2556//2556 1638//1638 1563//1563\nf 1222//1222 1286//1286 3428//3428\nf 6123//6123 1165//1165 2639//2639\nf 1165//1165 1164//1164 5795//5795\nf 5936//5936 5730//5730 1453//1453\nf 1453//1453 1157//1157 5720//5720\nf 3589//3589 1123//1123 5774//5774\nf 3378//3378 1421//1421 5754//5754\nf 6123//6123 3524//3524 1805//1805\nf 5791//5791 5330//5330 3150//3150\nf 1283//1283 3478//3478 5240//5240\nf 3243//3243 5726//5726 3083//3083\nf 3364//3364 5555//5555 1180//1180\nf 1283//1283 3288//3288 6160//6160\nf 3436//3436 3364//3364 1284//1284\nf 1277//1277 3572//3572 5776//5776\nf 5771//5771 1024//1024 3285//3285\nf 5584//5584 1303//1303 5945//5945\nf 5255//5255 3018//3018 5541//5541\nf 3122//3122 5856//5856 3475//3475\nf 3018//3018 3331//3331 1323//1323\nf 3689//3689 5771//5771 3640//3640\nf 1522//1522 1185//1185 5713//5713\nf 5240//5240 3478//3478 2134//2134\nf 1399//1399 5985//5985 3458//3458\nf 5584//5584 3285//3285 1303//1303\nf 5728//5728 3379//3379 3610//3610\nf 5669//5669 5261//5261 3399//3399\nf 5674//5674 3610//3610 3379//3379\nf 3276//3276 3707//3707 3565//3565\nf 1354//1354 3381//3381 5873//5873\nf 5725//5725 3565//3565 3707//3707\nf 1354//1354 5250//5250 3381//3381\nf 3198//3198 6140//6140 3480//3480\nf 3198//3198 6057//6057 6150//6150\nf 5607//5607 3276//3276 5674//5674\nf 3479//3479 3480//3480 1476//1476\nf 5607//5607 1341//1341 3276//3276\nf 1354//1354 5674//5674 3357//3357\nf 3357//3357 5674//5674 3276//3276\nf 3610//3610 5674//5674 1354//1354\nf 5725//5725 1161//1161 5922//5922\nf 5777//5777 3565//3565 5922//5922\nf 3356//3356 5928//5928 1112//1112\nf 3356//3356 3355//3355 1413//1413\nf 6140//6140 5707//5707 3396//3396\nf 1475//1475 3280//3280 5610//5610\nf 5610//5610 3280//3280 5632//5632\nf 5610//5610 6145//6145 1475//1475\nf 3356//3356 1112//1112 3355//3355\nf 1192//1192 3434//3434 3336//3336\nf 3671//3671 1153//1153 5814//5814\nf 3358//3358 3396//3396 5707//5707\nf 3280//3280 3358//3358 5632//5632\nf 5866//5866 3356//3356 5632//5632\nf 3262//3262 1413//1413 1252//1252\nf 3671//3671 1252//1252 3564//3564\nf 5598//5598 5763//5763 5814//5814\nf 5530//5530 3361//3361 1370//1370\nf 6145//6145 5610//5610 1265//1265\nf 6028//6028 5893//5893 1253//1253\nf 3158//3158 1053//1053 5836//5836\nf 6100//6100 1265//1265 1192//1192\nf 6168//6168 6154//6154 6073//6073\nf 3564//3564 1064//1064 3671//3671\nf 3564//3564 6008//6008 1064//1064\nf 6008//6008 5772//5772 6085//6085\nf 5337//5337 3199//3199 3319//3319\nf 5500//5500 1392//1392 5848//5848\nf 3158//3158 5836//5836 5675//5675\nf 1319//1319 3158//3158 5572//5572\nf 1290//1290 1392//1392 5995//5995\nf 5667//5667 5767//5767 5315//5315\nf 5667//5667 5315//5315 6095//6095\nf 1276//1276 5525//5525 5245//5245\nf 1584//1584 5652//5652 5815//5815\nf 1210//1210 3576//3576 3397//3397\nf 3165//3165 6092//6092 1391//1391\nf 3710//3710 3628//3628 3508//3508\nf 3591//3591 3670//3670 5891//5891\nf 3306//3306 3397//3397 3210//3210\nf 1825//1825 4958//4958 14//14\nf 3210//3210 5630//5630 5410//5410\nf 5323//5323 3234//3234 3145//3145\nf 5630//5630 3670//3670 3427//3427\nf 3376//3376 3206//3206 3159//3159\nf 1311//1311 3430//3430 2166//2166\nf 2702//2702 5575//5575 2510//2510\nf 2113//2113 5904//5904 1630//1630\nf 5305//5305 3235//3235 3839//3839\nf 5892//5892 1609//1609 1720//1720\nf 5240//5240 1203//1203 1185//1185\nf 1609//1609 5221//5221 5440//5440\nf 6088//6088 5421//5421 6165//6165\nf 5713//5713 5885//5885 1197//1197\nf 5436//5436 1168//1168 5819//5819\nf 3403//3403 1143//1143 5483//5483\nf 6115//6115 5483//5483 5655//5655\nf 5960//5960 3653//3653 6019//6019\nf 3588//3588 3524//3524 5409//5409\nf 1537//1537 5812//5812 5923//5923\nf 5841//5841 3578//3578 5691//5691\nf 3578//3578 3543//3543 5691//5691\nf 5471//5471 5564//5564 5934//5934\nf 5555//5555 3364//3364 3436//3436\nf 3114//3114 3163//3163 5580//5580\nf 5740//5740 5905//5905 5555//5555\nf 6014//6014 3683//3683 5997//5997\nf 5908//5908 5564//5564 1126//1126\nf 5252//5252 3290//3290 3410//3410\nf 5795//5795 1164//1164 3290//3290\nf 5324//5324 3268//3268 1337//1337\nf 5663//5663 3407//3407 1337//1337\nf 3290//3290 1164//1164 1643//1643\nf 1123//1123 5561//5561 5957//5957\nf 3035//3035 5754//5754 2639//2639\nf 1421//1421 6123//6123 2639//2639\nf 5966//5966 5346//5346 5754//5754\nf 5302//5302 5708//5708 3333//3333\nf 5966//5966 5730//5730 5936//5936\nf 1126//1126 5409//5409 3524//3524\nf 3354//3354 5841//5841 5614//5614\nf 5987//5987 5571//5571 1195//1195\nf 3589//3589 5561//5561 1123//1123\nf 5241//5241 3452//3452 5686//5686\nf 3331//3331 3465//3465 1323//1323\nf 3370//3370 5584//5584 5856//5856\nf 5694//5694 2236//2236 5237//5237\nf 1354//1354 3357//3357 5250//5250\nf 6159//6159 5342//5342 1024//1024\nf 5654//5654 6020//6020 2236//2236\nf 3640//3640 5771//5771 1333//1333\nf 1399//1399 5850//5850 1304//1304\nf 1399//1399 1304//1304 5425//5425\nf 5320//5320 1256//1256 3689//3689\nf 5954//5954 5327//5327 1256//1256\nf 3347//3347 1197//1197 5439//5439\nf 5241//5241 3288//3288 1283//1283\nf 3288//3288 1284//1284 3364//3364\nf 1282//1282 3822//3822 5366//5366\nf 3195//3195 1340//1340 3338//3338\nf 1197//1197 5440//5440 5713//5713\nf 3475//3475 6093//6093 3122//3122\nf 3475//3475 1181//1181 5524//5524\nf 6112//6112 5776//5776 3504//3504\nf 5945//5945 1414//1414 1181//1181\nf 1110//1110 1278//1278 1302//1302\nf 5694//5694 1304//1304 1196//1196\nf 5515//5515 1341//1341 5524//5524\nf 1209//1209 5326//5326 1115//1115\nf 3398//3398 5882//5882 3540//3540\nf 1235//1235 6087//6087 6102//6102\nf 5942//5942 5724//5724 5524//5524\nf 1251//1251 3525//3525 5278//5278\nf 3379//3379 3292//3292 5607//5607\nf 5988//5988 5613//5613 5246//5246\nf 5988//5988 3320//3320 5613//5613\nf 1162//1162 5246//5246 5950//5950\nf 1265//1265 2132//2132 3262//3262\nf 6140//6140 5950//5950 5707//5707\nf 3479//3479 5553//5553 3198//3198\nf 5553//5553 6057//6057 3198//3198\nf 5656//5656 1226//1226 1469//1469\nf 6140//6140 3396//3396 3480//3480\nf 5267//5267 3579//3579 2286//2286\nf 6061//6061 5763//5763 5598//5598\nf 3545//3545 3579//3579 2247//2247\nf 1112//1112 3517//3517 5772//5772\nf 1112//1112 5772//5772 3355//3355\nf 3579//3579 5267//5267 2247//2247\nf 1148//1148 5967//5967 5506//5506\nf 3425//3425 1213//1213 1269//1269\nf 5967//5967 1054//1054 5506//5506\nf 5598//5598 1366//1366 6089//6089\nf 6100//6100 6145//6145 1265//1265\nf 6154//6154 1187//1187 1232//1232\nf 5406//5406 3401//3401 6156//6156\nf 5598//5598 6089//6089 6061//6061\nf 5891//5891 5767//5767 3639//3639\nf 5891//5891 3670//3670 5735//5735\nf 5967//5967 6073//6073 1054//1054\nf 5530//5530 5736//5736 1570//1570\nf 1215//1215 5836//5836 3534//3534\nf 3670//3670 3591//3591 1184//1184\nf 5652//5652 5337//5337 5815//5815\nf 3210//3210 3266//3266 3306//3306\nf 3306//3306 3266//3266 6046//6046\nf 3210//3210 1086//1086 3266//3266\nf 3734//3734 1514//1514 5635//5635\nf 3145//3145 3234//3234 5525//5525\nf 5630//5630 3210//3210 3397//3397\nf 1086//1086 3206//3206 3376//3376\nf 3159//3159 5338//5338 3376//3376\nf 1853//1853 1107//1107 2705//2705\nf 5667//5667 5317//5317 5767//5767\nf 5889//5889 5589//5589 1177//1177\nf 5735//5735 5767//5767 5891//5891\nf 5999//5999 5384//5384 1111//1111\nf 1289//1289 5930//5930 6092//6092\nf 3426//3426 5909//5909 5621//5621\nf 1311//1311 3324//3324 5186//5186\nf 1309//1309 3206//3206 1086//1086\nf 1151//1151 1218//1218 5566//5566\nf 1402//1402 3312//3312 5461//5461\nf 3308//3308 5621//5621 5579//5579\nf 1320//1320 3235//3235 1216//1216\nf 3189//3189 1172//1172 3485//3485\nf 5960//5960 6019//6019 1246//1246\nf 3577//3577 5705//5705 3432//3432\nf 3526//3526 3528//3528 3476//3476\nf 3403//3403 5483//5483 1201//1201\nf 1410//1410 5657//5657 1143//1143\nf 5440//5440 1720//1720 1609//1609\nf 3586//3586 5313//5313 1241//1241\nf 3403//3403 5770//5770 1310//1310\nf 1421//1421 3378//3378 1126//1126\nf 5328//5328 3544//3544 5655//5655\nf 3477//3477 6091//6091 5905//5905\nf 1217//1217 6146//6146 6091//6091\nf 5908//5908 5861//5861 5934//5934\nf 3275//3275 2924//2924 1477//1477\nf 5564//5564 5409//5409 1126//1126\nf 3737//3737 3700//3700 5472//5472\nf 1039//1039 940//940 1117//1117\nf 2167//2167 3259//3259 1643//1643\nf 5252//5252 6074//6074 5744//5744\nf 2119//2119 5346//5346 5966//5966\nf 3035//3035 5252//5252 5730//5730\nf 3035//3035 5795//5795 5252//5252\nf 3478//3478 1283//1283 6160//6160\nf 5587//5587 1591//1591 5853//5853\nf 3520//3520 5904//5904 3527//3527\nf 1421//1421 3524//3524 6123//6123\nf 3334//3334 3333//3333 3549//3549\nf 3364//3364 1180//1180 6160//6160\nf 3465//3465 5883//5883 3550//3550\nf 1124//1124 1323//1323 3550//3550\nf 3550//3550 5883//5883 3370//3370\nf 2674//2674 6120//6120 1574//1574\nf 1303//1303 1110//1110 1414//1414\nf 3370//3370 5883//5883 2280//2280\nf 5388//5388 5255//5255 6155//6155\nf 1124//1124 3122//3122 5541//5541\nf 3292//3292 6093//6093 5607//5607\nf 1275//1275 2133//2133 4992//4992\nf 3286//3286 5444//5444 1219//1219\nf 3288//3288 5241//5241 6125//6125\nf 1185//1185 1522//1522 3452//3452\nf 5524//5524 1181//1181 5942//5942\nf 1341//1341 5515//5515 3707//3707\nf 3489//3489 5805//5805 5895//5895\nf 1024//1024 5771//5771 6159//6159\nf 5907//5907 1078//1078 3587//3587\nf 6162//6162 3331//3331 5415//5415\nf 5907//5907 5327//5327 1078//1078\nf 1209//1209 5134//5134 3763//3763\nf 5515//5515 5724//5724 6149//6149\nf 5725//5725 3707//3707 6149//6149\nf 1341//1341 6093//6093 5524//5524\nf 1155//1155 1032//1032 2096//2096\nf 6087//6087 1277//1277 6112//6112\nf 3539//3539 5988//5988 1162//1162\nf 1161//1161 5645//5645 6117//6117\nf 5980//5980 3320//3320 5988//5988\nf 5553//5553 3363//3363 3412//3412\nf 5724//5724 6102//6102 6149//6149\nf 1084//1084 1155//1155 2102//2102\nf 1162//1162 5950//5950 6150//6150\nf 3481//3481 5612//5612 3627//3627\nf 3614//3614 1145//1145 3615//3615\nf 3481//3481 5613//5613 1274//1274\nf 3262//3262 3434//3434 1192//1192\nf 1221//1221 5854//5854 5669//5669\nf 5844//5844 5261//5261 5669//5669\nf 1084//1084 6147//6147 5261//5261\nf 5928//5928 3517//3517 1112//1112\nf 1236//1236 3362//3362 5267//5267\nf 1178//1178 1128//1128 5970//5970\nf 1128//1128 3626//3626 5344//5344\nf 5025//5025 6039//6039 918//918\nf 1128//1128 3545//3545 5970//5970\nf 5951//5951 2247//2247 1103//1103\nf 5707//5707 5858//5858 3358//3358\nf 5344//5344 3579//3579 3545//3545\nf 5612//5612 1104//1104 1236//1236\nf 2247//2247 5951//5951 3545//3545\nf 1064//1064 5600//5600 1153//1153\nf 6085//6085 3532//3532 6008//6008\nf 3360//3360 1213//1213 3425//3425\nf 1103//1103 5919//5919 3360//3360\nf 5406//5406 3532//3532 6085//6085\nf 5970//5970 5951//5951 3425//3425\nf 5951//5951 1103//1103 3360//3360\nf 6156//6156 3401//3401 6004//6004\nf 1064//1064 6008//6008 3532//3532\nf 1229//1229 6154//6154 1232//1232\nf 1229//1229 6073//6073 6154//6154\nf 6061//6061 3336//3336 3434//3434\nf 1229//1229 3561//3561 6073//6073\nf 3400//3400 3666//3666 1130//1130\nf 5772//5772 1269//1269 6085//6085\nf 1313//1313 3558//3558 3606//3606\nf 5457//5457 3632//3632 5228//5228\nf 5588//5588 3819//3819 3658//3658\nf 1313//1313 5829//5829 3558//3558\nf 5317//5317 3495//3495 5599//5599\nf 1232//1232 6004//6004 5559//5559\nf 1232//1232 5559//5559 1229//1229\nf 3694//3694 1206//1206 3666//3666\nf 3495//3495 3287//3287 5599//5599\nf 5389//5389 5535//5535 1332//1332\nf 3306//3306 1276//1276 3397//3397\nf 1238//1238 5972//5972 3508//3508\nf 2166//2166 3430//3430 5874//5874\nf 1238//1238 5602//5602 5972//5972\nf 1154//1154 1065//1065 5647//5647\nf 3446//3446 5305//5305 1402//1402\nf 3446//3446 5618//5618 5305//5305\nf 5837//5837 3308//3308 3839//3839\nf 3508//3508 3628//3628 5229//5229\nf 5319//5319 2090//2090 1225//1225\nf 3590//3590 3584//3584 5335//5335\nf 5660//5660 5602//5602 5363//5363\nf 5660//5660 1216//1216 2166//2166\nf 3584//3584 880//880 5335//5335\nf 1171//1171 3612//3612 3613//3613\nf 5354//5354 1137//1137 5306//5306\nf 5660//5660 3562//3562 1216//1216\nf 5284//5284 3430//3430 1311//1311\nf 5305//5305 5618//5618 3235//3235\nf 1168//1168 5233//5233 5819//5819\nf 1087//1087 5518//5518 3613//3613\nf 1151//1151 5284//5284 1311//1311\nf 5904//5904 2113//2113 3616//3616\nf 6019//6019 3526//3526 1410//1410\nf 1395//1395 5563//5563 3031//3031\nf 5307//5307 5573//5573 5819//5819\nf 5997//5997 5471//5471 6029//6029\nf 3476//3476 1217//1217 6014//6014\nf 5841//5841 1720//1720 5614//5614\nf 5363//5363 3638//3638 3916//3916\nf 5681//5681 5558//5558 5726//5726\nf 5905//5905 3588//3588 3477//3477\nf 5740//5740 3436//3436 3589//3589\nf 6146//6146 5273//5273 5865//5865\nf 3526//3526 3494//3494 5432//5432\nf 5409//5409 3477//3477 3588//3588\nf 3549//3549 5708//5708 5957//5957\nf 3520//3520 5621//5621 1630//1630\nf 1068//1068 6171//6171 3839//3839\nf 1195//1195 1408//1408 3241//3241\nf 3478//3478 1101//1101 5444//5444\nf 4992//4992 2133//2133 3438//3438\nf 3589//3589 1284//1284 5561//5561\nf 1185//1185 5916//5916 5885//5885\nf 1185//1185 1203//1203 5916//5916\nf 5342//5342 5805//5805 3489//3489\nf 1323//1323 3465//3465 3550//3550\nf 3292//3292 3122//3122 6093//6093\nf 6162//6162 5415//5415 1196//1196\nf 5907//5907 6159//6159 3689//3689\nf 2280//2280 1050//1050 3640//3640\nf 1050//1050 5320//5320 3640//3640\nf 5221//5221 6158//6158 5571//5571\nf 1058//1058 5516//5516 5605//5605\nf 2133//2133 1050//1050 3438//3438\nf 1101//1101 1219//1219 5444//5444\nf 5342//5342 6159//6159 3587//3587\nf 1101//1101 6163//6163 1219//1219\nf 1035//1035 5321//5321 3685//3685\nf 6160//6160 1101//1101 3478//3478\nf 2133//2133 5320//5320 1050//1050\nf 2139//2139 1255//1255 1303//1303\nf 5856//5856 3550//3550 3370//3370\nf 5985//5985 3538//3538 1050//1050\nf 1255//1255 2139//2139 3489//3489\nf 6093//6093 1341//1341 5607//5607\nf 1110//1110 1138//1138 1278//1278\nf 3743//3743 3537//3537 6040//6040\nf 2104//2104 1145//1145 3614//3614\nf 6107//6107 1159//1159 5326//5326\nf 2157//2157 935//935 3614//3614\nf 5926//5926 2147//2147 3537//3537\nf 6112//6112 3504//3504 5645//5645\nf 5922//5922 1240//1240 5777//5777\nf 5922//5922 1070//1070 1240//1240\nf 6087//6087 5232//5232 1277//1277\nf 935//935 5927//5927 2104//2104\nf 3481//3481 5830//5830 5246//5246\nf 935//935 823//823 5927//5927\nf 3523//3523 5278//5278 5927//5927\nf 3481//3481 1274//1274 5612//5612\nf 5562//5562 3619//3619 1155//1155\nf 6061//6061 1301//1301 3336//3336\nf 3619//3619 5368//5368 1032//1032\nf 5344//5344 2286//2286 3579//3579\nf 1281//1281 5230//5230 1207//1207\nf 1236//1236 2286//2286 5612//5612\nf 5919//5919 5272//5272 3360//3360\nf 3396//3396 3358//3358 3280//3280\nf 3280//3280 3480//3480 3396//3396\nf 3480//3480 3479//3479 3198//3198\nf 3480//3480 3280//3280 1475//1475\nf 3545//3545 5951//5951 5970//5970\nf 1104//1104 6147//6147 2129//2129\nf 3362//3362 5876//5876 5887//5887\nf 5600//5600 1064//1064 3532//3532\nf 3434//3434 5763//5763 6061//6061\nf 5763//5763 3671//3671 5814//5814\nf 3606//3606 3400//3400 1313//1313\nf 1204//1204 3760//3760 5560//5560\nf 5970//5970 3425//3425 3517//3517\nf 3389//3389 1169//1169 3495//3495\nf 5557//5557 1204//1204 5560//5560\nf 1153//1153 1187//1187 5814//5814\nf 5503//5503 3787//3787 6037//6037\nf 3694//3694 6004//6004 3401//3401\nf 5767//5767 5317//5317 3639//3639\nf 5506//5506 3495//3495 5317//5317\nf 5599//5599 3639//3639 5317//5317\nf 5599//5599 2851//2851 3639//3639\nf 5733//5733 1319//1319 1290//1290\nf 1038//1038 3639//3639 2851//2851\nf 3561//3561 1229//1229 3606//3606\nf 3287//3287 5389//5389 2851//2851\nf 6095//6095 1393//1393 5995//5995\nf 5891//5891 3639//3639 1038//1038\nf 3818//3818 1134//1134 5390//5390\nf 1586//1586 5932//5932 3165//3165\nf 3427//3427 2234//2234 5410//5410\nf 6168//6168 3642//3642 6154//6154\nf 1163//1163 3500//3500 2234//2234\nf 5229//5229 5285//5285 3332//3332\nf 1391//1391 6092//6092 1309//1309\nf 3165//3165 5932//5932 6092//6092\nf 1309//1309 6092//6092 5930//5930\nf 1100//1100 5647//5647 3628//3628\nf 5874//5874 3430//3430 1289//1289\nf 1100//1100 3710//3710 1586//1586\nf 1086//1086 3376//3376 3266//3266\nf 1184//1184 3591//3591 6110//6110\nf 1586//1586 2234//2234 3500//3500\nf 5229//5229 1238//1238 3508//3508\nf 1072//1072 5263//5263 960//960\nf 1100//1100 3628//3628 3710//3710\nf 3430//3430 5930//5930 1289//1289\nf 3165//3165 2234//2234 1586//1586\nf 5972//5972 5932//5932 3710//3710\nf 5647//5647 1077//1077 1154//1154\nf 3330//3330 5706//5706 2264//2264\nf 6007//6007 5879//5879 3244//3244\nf 5495//5495 5392//5392 5879//5879\nf 3692//3692 2252//2252 5379//5379\nf 1111//1111 1225//1225 5999//5999\nf 5959//5959 1309//1309 5930//5930\nf 5797//5797 3426//3426 5837//5837\nf 5378//5378 5563//5563 1079//1079\nf 5495//5495 5989//5989 5392//5392\nf 5989//5989 5827//5827 5392//5392\nf 3612//3612 1171//1171 5797//5797\nf 1065//1065 5462//5462 5263//5263\nf 5319//5319 3330//3330 1179//1179\nf 3584//3584 3590//3590 985//985\nf 5285//5285 5706//5706 5595//5595\nf 3638//3638 5384//5384 3916//3916\nf 1586//1586 3500//3500 1100//1100\nf 6171//6171 5305//5305 3839//3839\nf 5621//5621 5909//5909 1630//1630\nf 1151//1151 1311//1311 5186//5186\nf 1087//1087 1225//1225 1494//1494\nf 880//880 3684//3684 5335//5335\nf 1111//1111 5384//5384 5595//5595\nf 1410//1410 3476//3476 5657//5657\nf 5471//5471 5934//5934 1140//1140\nf 6014//6014 5657//5657 3476//3476\nf 3477//3477 5938//5938 3683//3683\nf 1756//1756 5639//5639 5726//5726\nf 1477//1477 5543//5543 5861//5861\nf 1246//1246 6098//6098 5960//5960\nf 5321//5321 1036//1036 3685//3685\nf 1195//1195 6158//6158 1408//1408\nf 1195//1195 5571//5571 6158//6158\nf 5916//5916 4992//4992 3195//3195\nf 1203//1203 2134//2134 1275//1275\nf 6160//6160 3288//3288 3364//3364\nf 5773//5773 3334//3334 3549//3549\nf 1124//1124 3550//3550 5856//5856\nf 1399//1399 3458//3458 5850//5850\nf 5366//5366 3822//3822 5965//5965\nf 3822//3822 5355//5355 5965//5965\nf 3286//3286 2134//2134 5444//5444\nf 2134//2134 3478//3478 5444//5444\nf 2133//2133 1275//1275 5429//5429\nf 5899//5899 3496//3496 5327//5327\nf 1035//1035 5273//5273 5321//5321\nf 1036//1036 3865//3865 5449//5449\nf 5921//5921 3334//3334 5987//5987\nf 1255//1255 5895//5895 1138//1138\nf 3489//3489 5895//5895 1255//1255\nf 1256//1256 5327//5327 5907//5907\nf 3587//3587 3762//3762 5342//5342\nf 987//987 1138//1138 5895//5895\nf 1110//1110 1255//1255 1138//1138\nf 1110//1110 1303//1303 1255//1255\nf 2139//2139 1024//1024 3489//3489\nf 3565//3565 5725//5725 5922//5922\nf 1340//1340 1399//1399 5425//5425\nf 3370//3370 2280//2280 1333//1333\nf 3699//3699 5721//5721 5765//5765\nf 5954//5954 5899//5899 5327//5327\nf 1278//1278 6040//6040 6048//6048\nf 2157//2157 823//823 935//935\nf 5942//5942 1302//1302 1235//1235\nf 1302//1302 5232//5232 1235//1235\nf 5645//5645 6149//6149 6102//6102\nf 3525//3525 1082//1082 1159//1159\nf 6087//6087 6112//6112 6102//6102\nf 1278//1278 6048//6048 5232//5232\nf 5882//5882 1221//1221 6119//6119\nf 3320//3320 6119//6119 3399//3399\nf 5261//5261 5844//5844 1084//1084\nf 5553//5553 3412//3412 3381//3381\nf 6119//6119 1221//1221 5669//5669\nf 5876//5876 1156//1156 6103//6103\nf 3360//3360 5272//5272 1213//1213\nf 2286//2286 1236//1236 5267//5267\nf 5230//5230 5743//5743 3602//3602\nf 6057//6057 5250//5250 5777//5777\nf 5887//5887 3618//3618 1103//1103\nf 3399//3399 5261//5261 6147//6147\nf 3517//3517 1269//1269 5772//5772\nf 5267//5267 5887//5887 2247//2247\nf 5246//5246 5613//5613 3481//3481\nf 769//769 5406//5406 6085//6085\nf 3627//3627 5830//5830 3481//3481\nf 5025//5025 5919//5919 3769//3769\nf 5600//5600 6156//6156 5991//5991\nf 2795//2795 5588//5588 3764//3764\nf 3531//3531 769//769 3741//3741\nf 3400//3400 1130//1130 1313//1313\nf 1130//1130 1021//1021 3658//3658\nf 3658//3658 1021//1021 5588//5588\nf 1021//1021 6017//6017 5588//5588\nf 1204//1204 3531//3531 3741//3741\nf 5315//5315 5767//5767 5735//5735\nf 5559//5559 3400//3400 3606//3606\nf 5559//5559 3694//3694 3666//3666\nf 5503//5503 5818//5818 1417//1417\nf 6110//6110 5635//5635 3499//3499\nf 6110//6110 3591//3591 3734//3734\nf 3591//3591 1038//1038 3734//3734\nf 5389//5389 5390//5390 5535//5535\nf 5836//5836 1053//1053 5893//5893\nf 1345//1345 3501//3501 1319//1319\nf 3500//3500 1163//1163 3499//3499\nf 3710//3710 3508//3508 5972//5972\nf 3165//3165 5410//5410 2234//2234\nf 5999//5999 1225//1225 1087//1087\nf 3500//3500 1077//1077 1100//1100\nf 3430//3430 5284//5284 5930//5930\nf 5874//5874 5602//5602 5660//5660\nf 5780//5780 3613//3613 3612//3612\nf 3499//3499 1077//1077 3500//3500\nf 3499//3499 1163//1163 6110//6110\nf 1216//1216 3324//3324 2166//2166\nf 5623//5623 1063//1063 5452//5452\nf 5349//5349 2090//2090 5306//5306\nf 1179//1179 5354//5354 5306//5306\nf 3415//3415 5287//5287 1154//1154\nf 6066//6066 718//718 3775//3775\nf 6066//6066 5796//5796 718//718\nf 5319//5319 1179//1179 5306//5306\nf 3597//3597 1137//1137 5301//5301\nf 5755//5755 3634//3634 3601//3601\nf 5595//5595 5706//5706 3330//3330\nf 5394//5394 3779//3779 1300//1300\nf 3315//3315 5275//5275 5545//5545\nf 6000//6000 2078//2078 6122//6122\nf 6157//6157 5590//5590 1095//1095\nf 5413//5413 6157//6157 1095//1095\nf 6086//6086 2151//2151 3547//3547\nf 6157//6157 5239//5239 5590//5590\nf 6157//6157 5413//5413 3573//3573\nf 6086//6086 2078//2078 2151//2151\nf 5033//5033 3605//3605 3849//3849\nf 5521//5521 5376//5376 5880//5880\nf 3177//3177 3673//3673 5383//5383\nf 3177//3177 3849//3849 3673//3673\nf 1314//1314 1175//1175 5276//5276\nf 3569//3569 2681//2681 3535//3535\nf 3421//3421 6137//6137 1088//1088\nf 2151//2151 5731//5731 3546//3546\nf 1125//1125 1135//1135 5467//5467\nf 6137//6137 5502//5502 1088//1088\nf 866//866 1133//1133 5467//5467\nf 3099//3099 3505//3505 6122//6122\nf 3099//3099 5996//5996 3516//3516\nf 5989//5989 5779//5779 933//933\nf 5460//5460 6151//6151 3843//3843\nf 3419//3419 3843//3843 5236//5236\nf 6041//6041 5227//5227 927//927\nf 6080//6080 5963//5963 6007//6007\nf 3761//3761 990//990 5963//5963\nf 5813//5813 5963//5963 6080//6080\nf 2131//2131 1001//1001 5798//5798\nf 968//968 3779//3779 5394//5394\nf 1001//1001 2131//2131 3675//3675\nf 927//927 3761//3761 1250//1250\nf 5881//5881 5545//5545 3492//3492\nf 3609//3609 5918//5918 3245//3245\nf 3490//3490 3492//3492 5275//5275\nf 968//968 995//995 3779//3779\nf 5833//5833 5412//5412 1089//1089\nf 3590//3590 5349//5349 985//985\nf 3601//3601 5909//5909 3655//3655\nf 1630//1630 5904//5904 3520//3520\nf 5378//5378 1409//1409 5960//5960\nf 5378//5378 5960//5960 6098//6098\nf 3601//3601 2113//2113 5909//5909\nf 3419//3419 5813//5813 5301//5301\nf 880//880 5755//5755 3684//3684\nf 3597//3597 3244//3244 1249//1249\nf 3244//3244 5879//5879 5392//5392\nf 3330//3330 5319//5319 1111//1111\nf 3330//3330 2264//2264 3703//3703\nf 985//985 3321//3321 3584//3584\nf 6019//6019 3494//3494 3526//3526\nf 3653//3653 3527//3527 3494//3494\nf 5797//5797 3655//3655 3426//3426\nf 5999//5999 1087//1087 3613//3613\nf 6091//6091 3477//3477 3683//3683\nf 3476//3476 1410//1410 3526//3526\nf 1342//1342 5271//5271 1395//1395\nf 1246//1246 1310//1310 2044//2044\nf 6019//6019 3653//3653 3494//3494\nf 3477//3477 5409//5409 5938//5938\nf 5740//5740 3588//3588 5905//5905\nf 1203//1203 1275//1275 4992//4992\nf 5899//5899 1083//1083 3496//3496\nf 3592//3592 3783//3783 5765//5765\nf 5768//5768 5668//5668 3594//3594\nf 3689//3689 6159//6159 5771//5771\nf 5273//5273 3533//3533 1233//1233\nf 3762//3762 1078//1078 6167//6167\nf 5921//5921 3241//3241 2878//2878\nf 3656//3656 5805//5805 5366//5366\nf 5326//5326 1209//1209 6107//6107\nf 1138//1138 987//987 6040//6040\nf 1394//1394 1641//1641 3817//3817\nf 1082//1082 1394//1394 1159//1159\nf 3656//3656 5459//5459 987//987\nf 6159//6159 5907//5907 3587//3587\nf 1181//1181 1414//1414 5942//5942\nf 2280//2280 3640//3640 1333//1333\nf 3656//3656 5965//5965 5459//5459\nf 5895//5895 3656//3656 987//987\nf 5355//5355 3592//3592 5765//5765\nf 6126//6126 5418//5418 1234//1234\nf 3817//3817 1641//1641 5266//5266\nf 5134//5134 1115//1115 6172//6172\nf 5459//5459 5958//5958 5466//5466\nf 5134//5134 6172//6172 5418//5418\nf 6126//6126 1234//1234 1281//1281\nf 6057//6057 5553//5553 5250//5250\nf 3763//3763 2104//2104 5927//5927\nf 5369//5369 3748//3748 1094//1094\nf 1281//1281 3615//3615 1145//1145\nf 1064//1064 1153//1153 3671//3671\nf 5844//5844 5854//5854 1207//1207\nf 3627//3627 2286//2286 5344//5344\nf 1240//1240 6057//6057 5777//5777\nf 3741//3741 918//918 1204//1204\nf 5669//5669 5854//5854 5844//5844\nf 5025//5025 3741//3741 5272//5272\nf 5272//5272 5919//5919 5025//5025\nf 1274//1274 1104//1104 5612//5612\nf 5562//5562 3602//3602 5955//5955\nf 3517//3517 5928//5928 5970//5970\nf 5267//5267 3362//3362 5887//5887\nf 931//931 5858//5858 5707//5707\nf 1252//1252 5763//5763 3434//3434\nf 3694//3694 5557//5557 1206//1206\nf 5560//5560 3632//3632 5457//5457\nf 5373//5373 3748//3748 1061//1061\nf 5478//5478 4015//4015 3506//3506\nf 3787//3787 5503//5503 5333//5333\nf 6037//6037 2795//2795 5503//5503\nf 6039//6039 5783//5783 1094//1094\nf 6004//6004 1232//1232 5991//5991\nf 1054//1054 6073//6073 3561//3561\nf 5675//5675 5572//5572 3158//3158\nf 5967//5967 1148//1148 3488//3488\nf 5967//5967 3488//3488 5900//5900\nf 1206//1206 5557//5557 5560//5560\nf 1071//1071 6121//6121 5993//5993\nf 3409//3409 5829//5829 3819//3819\nf 5390//5390 3409//3409 3818//3818\nf 3409//3409 5390//5390 5389//5389\nf 3593//3593 5722//5722 3596//3596\nf 3409//3409 3819//3819 3818//3818\nf 3427//3427 5410//5410 5630//5630\nf 3959//3959 3955//3955 760//760\nf 1065//1065 5263//5263 1072//1072\nf 5263//5263 3959//3959 960//960\nf 5523//5523 3766//3766 967//967\nf 960//960 3959//3959 760//760\nf 3628//3628 5647//5647 3372//3372\nf 3628//3628 3372//3372 5229//5229\nf 1033//1033 3803//3803 2245//2245\nf 3803//3803 907//907 2245//2245\nf 1149//1149 3647//3647 5778//5778\nf 5647//5647 1100//1100 1077//1077\nf 921//921 5372//5372 3766//3766\nf 3753//3753 1085//1085 3863//3863\nf 1314//1314 1176//1176 1175//1175\nf 3503//3503 788//788 1314//1314\nf 5276//5276 5386//5386 5156//5156\nf 6086//6086 3547//3547 5295//5295\nf 3599//3599 658//658 3177//3177\nf 5238//5238 3535//3535 5487//5487\nf 5631//5631 6157//6157 3573//3573\nf 2151//2151 3546//3546 3547//3547\nf 5475//5475 1572//1572 3570//3570\nf 2682//2682 5487//5487 3535//3535\nf 6000//6000 5520//5520 1642//1642\nf 2078//2078 5731//5731 2151//2151\nf 6086//6086 6122//6122 2078//2078\nf 6086//6086 5295//5295 3099//3099\nf 3766//3766 3775//3775 967//967\nf 984//984 5700//5700 3556//3556\nf 5354//5354 5301//5301 1137//1137\nf 3751//3751 1139//1139 3556//3556\nf 5455//5455 3692//3692 5379//5379\nf 3863//3863 4038//4038 5796//5796\nf 3692//3692 5285//5285 3416//3416\nf 6012//6012 3713//3713 1412//1412\nf 2152//2152 1125//1125 5467//5467\nf 2152//2152 1122//1122 1125//1125\nf 6137//6137 5683//5683 5546//5546\nf 3673//3673 3849//3849 5427//5427\nf 5400//5400 5467//5467 1133//1133\nf 3709//3709 1052//1052 5400//5400\nf 3850//3850 3605//3605 1007//1007\nf 3629//3629 3767//3767 5427//5427\nf 3391//3391 5625//5625 6070//6070\nf 6025//6025 2141//2141 5758//5758\nf 3641//3641 5322//5322 3844//3844\nf 5453//5453 1136//1136 5868//5868\nf 6139//6139 5431//5431 5627//5627\nf 5800//5800 2077//2077 1013//1013\nf 5800//5800 5568//5568 2077//2077\nf 5568//5568 2153//2153 2077//2077\nf 1176//1176 2195//2195 1131//1131\nf 971//971 5620//5620 3649//3649\nf 3368//3368 5823//5823 3714//3714\nf 1007//1007 2152//2152 1052//1052\nf 6133//6133 1007//1007 1052//1052\nf 1122//1122 2682//2682 1125//1125\nf 1572//1572 5412//5412 5996//5996\nf 6152//6152 5833//5833 5548//5548\nf 5620//5620 971//971 3365//3365\nf 2118//2118 3645//3645 5548//5548\nf 5996//5996 3486//3486 3516//3516\nf 5833//5833 5842//5842 3315//3315\nf 3582//3582 1074//1074 5975//5975\nf 3099//3099 5295//5295 5996//5996\nf 6152//6152 3794//3794 5842//5842\nf 3568//3568 5030//5030 5475//5475\nf 5030//5030 3608//3608 5475//5475\nf 3547//3547 3570//3570 5295//5295\nf 3713//3713 6012//6012 3503//3503\nf 1047//1047 1005//1005 5501//5501\nf 5880//5880 3629//3629 5450//5450\nf 5427//5427 3850//3850 3630//3630\nf 5376//5376 5413//5413 3568//3568\nf 5376//5376 3568//3568 3570//3570\nf 3713//3713 3503//3503 1314//1314\nf 5427//5427 3849//3849 3850//3850\nf 5431//5431 2146//2146 971//971\nf 3644//3644 5303//5303 5402//5402\nf 6133//6133 5586//5586 3630//3630\nf 5586//5586 2201//2201 5450//5450\nf 3503//3503 1205//1205 788//788\nf 1205//1205 2193//2193 788//788\nf 5620//5620 5497//5497 1170//1170\nf 1047//1047 3439//3439 5727//5727\nf 996//996 3677//3677 3675//3675\nf 687//687 5716//5716 6135//6135\nf 3608//3608 5497//5497 5548//5548\nf 3245//3245 5458//5458 3609//3609\nf 5798//5798 4029//4029 2131//2131\nf 1081//1081 3812//3812 1023//1023\nf 3794//3794 5616//5616 5268//5268\nf 1300//1300 3413//3413 3263//3263\nf 1250//1250 5963//5963 5813//5813\nf 1179//1179 5764//5764 5354//5354\nf 5764//5764 984//984 3708//3708\nf 2083//2083 5879//5879 6007//6007\nf 6082//6082 2109//2109 1692//1692\nf 1579//1579 2042//2042 6151//6151\nf 5741//5741 1312//1312 5534//5534\nf 5392//5392 5827//5827 1249//1249\nf 5408//5408 5270//5270 2238//2238\nf 6007//6007 3244//3244 6080//6080\nf 3419//3419 5236//5236 5813//5813\nf 5811//5811 1224//1224 3521//3521\nf 967//967 3775//3775 5808//5808\nf 5518//5518 1171//1171 3613//3613\nf 5518//5518 3684//3684 3581//3581\nf 3708//3708 966//966 3843//3843\nf 966//966 5460//5460 3843//3843\nf 5827//5827 5989//5989 3521//3521\nf 1224//1224 5924//5924 3584//3584\nf 1224//1224 3584//3584 3321//3321\nf 1300//1300 3779//3779 3413//3413\nf 6059//6059 5458//5458 3245//3245\nf 5716//5716 687//687 4029//4029\nf 5798//5798 5716//5716 4029//4029\nf 1001//1001 2088//2088 5798//5798\nf 3779//3779 6034//6034 3413//3413\nf 3413//3413 3342//3342 3263//3263\nf 2088//2088 3509//3509 5310//5310\nf 5534//5534 1312//1312 3342//3342\nf 6111//6111 6151//6151 2042//2042\nf 5918//5918 687//687 3245//3245\nf 5475//5475 3608//3608 1089//1089\nf 3518//3518 5918//5918 3609//3609\nf 5236//5236 6151//6151 6111//6111\nf 6059//6059 1237//1237 3736//3736\nf 2113//2113 3634//3634 3616//3616\nf 3581//3581 3601//3601 3655//3655\nf 3581//3581 1171//1171 5518//5518\nf 3655//3655 5797//5797 1171//1171\nf 3562//3562 5660//5660 5363//5363\nf 5335//5335 1494//1494 3590//3590\nf 985//985 5225//5225 3321//3321\nf 5306//5306 1137//1137 5349//5349\nf 5563//5563 1395//1395 5271//5271\nf 3684//3684 5518//5518 5335//5335\nf 1137//1137 5225//5225 5349//5349\nf 1079//1079 3308//3308 5579//5579\nf 3308//3308 5837//5837 3426//3426\nf 880//880 5924//5924 5465//5465\nf 1201//1201 3543//3543 3447//3447\nf 5507//5507 1605//1605 5543//5543\nf 3653//3653 1409//1409 3520//3520\nf 1117//1117 2106//2106 5668//5668\nf 3653//3653 5960//5960 1409//1409\nf 5709//5709 2593//2593 5316//5316\nf 1039//1039 5226//5226 940//940\nf 5432//5432 3494//3494 2110//2110\nf 6163//6163 1083//1083 5899//5899\nf 3685//3685 1036//1036 3845//3845\nf 5304//5304 5605//5605 3845//3845\nf 1275//1275 2134//2134 3286//3286\nf 1219//1219 5899//5899 5954//5954\nf 5472//5472 3700//3700 1117//1117\nf 5565//5565 3993//3993 3742//3742\nf 3526//3526 5432//5432 3528//3528\nf 5432//5432 3657//3657 3533//3533\nf 3729//3729 5608//5608 1011//1011\nf 3179//3179 1083//1083 3845//3845\nf 5921//5921 5987//5987 1195//1195\nf 3865//3865 3594//3594 3595//3595\nf 5438//5438 5516//5516 3783//3783\nf 3743//3743 5466//5466 5926//5926\nf 897//897 6036//6036 1011//1011\nf 5805//5805 5342//5342 1282//1282\nf 5342//5342 3762//3762 1282//1282\nf 3762//3762 3750//3750 1282//1282\nf 3663//3663 5254//5254 5466//5466\nf 3750//3750 5438//5438 3592//3592\nf 5355//5355 3822//3822 3592//3592\nf 5366//5366 5805//5805 1282//1282\nf 5438//5438 3783//3783 3592//3592\nf 3763//3763 5927//5927 5278//5278\nf 1277//1277 6048//6048 3572//3572\nf 6102//6102 5724//5724 1235//1235\nf 1145//1145 2104//2104 1099//1099\nf 3763//3763 1099//1099 2104//2104\nf 6147//6147 2102//2102 2129//2129\nf 3603//3603 5264//5264 3598//3598\nf 3525//3525 1159//1159 6107//6107\nf 5670//5670 1070//1070 1161//1161\nf 1281//1281 5854//5854 3615//3615\nf 3626//3626 3627//3627 5344//5344\nf 3760//3760 5884//5884 3632//3632\nf 1269//1269 1213//1213 6085//6085\nf 5670//5670 3398//3398 3540//3540\nf 3748//3748 5884//5884 1094//1094\nf 5562//5562 1084//1084 5844//5844\nf 1070//1070 5670//5670 3540//3540\nf 3741//3741 5025//5025 918//918\nf 1070//1070 5922//5922 1161//1161\nf 1098//1098 5407//5407 5039//5039\nf 5407//5407 4201//4201 5039//5039\nf 5368//5368 6161//6161 3603//3603\nf 5919//5919 1103//1103 3618//3618\nf 5876//5876 6103//6103 5286//5286\nf 6156//6156 6004//6004 5991//5991\nf 5560//5560 5457//5457 1206//1206\nf 5600//5600 5991//5991 1153//1153\nf 6004//6004 3694//3694 5559//5559\nf 3531//3531 3401//3401 5406//5406\nf 3531//3531 5557//5557 3401//3401\nf 2795//2795 3764//3764 5818//5818\nf 5818//5818 3764//3764 1028//1028\nf 6156//6156 5600//5600 3532//3532\nf 3819//3819 6037//6037 3818//3818\nf 5317//5317 5500//5500 1148//1148\nf 5315//5315 5735//5735 1210//1210\nf 5675//5675 5742//5742 5572//5572\nf 1075//1075 5223//5223 3593//3593\nf 1075//1075 1071//1071 5223//5223\nf 2851//2851 1332//1332 1038//1038\nf 5029//5029 6067//6067 3803//3803\nf 5778//5778 3647//3647 6108//6108\nf 5462//5462 1065//1065 1154//1154\nf 3427//3427 1163//1163 2234//2234\nf 1065//1065 1072//1072 3372//3372\nf 5647//5647 1065//1065 3372//3372\nf 3416//3416 5229//5229 3372//3372\nf 3556//3556 5523//5523 984//984\nf 1514//1514 3593//3593 3596//3596\nf 3734//3734 1038//1038 1332//1332\nf 5462//5462 1141//1141 3788//3788\nf 3415//3415 1154//1154 1077//1077\nf 3788//3788 3959//3959 5263//5263\nf 5225//5225 985//985 5349//5349\nf 3415//3415 5635//5635 3596//3596\nf 718//718 3599//3599 5383//5383\nf 6131//6131 2042//2042 1579//1579\nf 6131//6131 6000//6000 1642//1642\nf 2201//2201 5586//5586 1412//1412\nf 6131//6131 3776//3776 1097//1097\nf 5731//5731 2078//2078 1097//1097\nf 1397//1397 5383//5383 3673//3673\nf 3652//3652 5929//5929 3761//3761\nf 984//984 5764//5764 5700//5700\nf 984//984 5523//5523 966//966\nf 5285//5285 5229//5229 3416//3416\nf 5523//5523 921//921 3766//3766\nf 5293//5293 955//955 840//840\nf 1013//1013 5875//5875 5800//5800\nf 3265//3265 1016//1016 2081//2081\nf 1175//1175 1093//1093 5912//5912\nf 3836//3836 3641//3641 3844//3844\nf 1017//1017 5509//5509 3836//3836\nf 788//788 1176//1176 1314//1314\nf 3850//3850 3849//3849 3605//3605\nf 5521//5521 2201//2201 3573//3573\nf 5487//5487 658//658 5238//5238\nf 5673//5673 5902//5902 3914//3914\nf 1135//1135 1051//1051 866//866\nf 5897//5897 6170//6170 5860//5860\nf 5509//5509 6070//6070 3668//3668\nf 6170//6170 5897//5897 2081//2081\nf 2081//2081 1059//1059 6170//6170\nf 6128//6128 3688//3688 5428//5428\nf 2081//2081 1016//1016 1059//1059\nf 2080//2080 2141//2141 6025//6025\nf 1208//1208 6025//6025 5758//5758\nf 3836//3836 5509//5509 3641//3641\nf 5467//5467 1135//1135 866//866\nf 3795//3795 1106//1106 3536//3536\nf 1131//1131 5568//5568 1231//1231\nf 5800//5800 5875//5875 3424//3424\nf 6056//6056 3636//3636 5753//5753\nf 3424//3424 3636//3636 6056//6056\nf 3424//3424 3560//3560 3636//3636\nf 3625//3625 1118//1118 3421//3421\nf 3560//3560 5984//5984 5715//5715\nf 2153//2153 1131//1131 2195//2195\nf 1175//1175 5912//5912 5276//5276\nf 1059//1059 3836//3836 6170//6170\nf 5358//5358 1136//1136 977//977\nf 5823//5823 3815//3815 3768//3768\nf 3305//3305 5820//5820 6109//6109\nf 3365//3365 3927//3927 2118//2118\nf 1005//1005 5912//5912 3510//3510\nf 3305//3305 2085//2085 5753//5753\nf 3305//3305 5753//5753 2107//2107\nf 5620//5620 1170//1170 3649//3649\nf 5838//5838 3582//3582 2225//2225\nf 3794//3794 3957//3957 5842//5842\nf 3570//3570 1572//1572 5295//5295\nf 5842//5842 3957//3957 3518//3518\nf 5838//5838 1074//1074 3582//3582\nf 3570//3570 3568//3568 5475//5475\nf 3629//3629 3630//3630 5450//5450\nf 3516//3516 3505//3505 3099//3099\nf 1091//1091 1362//1362 3505//3505\nf 1093//1093 2085//2085 3510//3510\nf 1170//1170 5497//5497 5030//5030\nf 1170//1170 5030//5030 1095//1095\nf 5880//5880 5450//5450 5521//5521\nf 5620//5620 2118//2118 5497//5497\nf 3573//3573 2201//2201 5631//5631\nf 5239//5239 5156//5156 5627//5627\nf 5156//5156 5386//5386 3793//3793\nf 1093//1093 1231//1231 2085//2085\nf 3881//3881 822//822 5268//5268\nf 971//971 2146//2146 3806//3806\nf 5975//5975 996//996 3675//3675\nf 6010//6010 5339//5339 1074//1074\nf 1027//1027 5940//5940 998//998\nf 5979//5979 3927//3927 3365//3365\nf 3541//3541 989//989 3509//3509\nf 5268//5268 3957//3957 3794//3794\nf 1637//1637 5533//5533 5628//5628\nf 5842//5842 5833//5833 6152//6152\nf 5918//5918 3957//3957 822//822\nf 3957//3957 5918//5918 3518//3518\nf 5643//5643 5442//5442 3922//3922\nf 5716//5716 2066//2066 1426//1426\nf 857//857 5626//5626 6026//6026\nf 1300//1300 5458//5458 5394//5394\nf 1045//1045 3834//3834 5977//5977\nf 5920//5920 996//996 5434//5434\nf 5643//5643 3922//3922 3691//3691\nf 5370//5370 6130//6130 2945//2945\nf 2088//2088 1223//1223 3509//3509\nf 2118//2118 3927//3927 3645//3645\nf 1362//1362 5520//5520 3505//3505\nf 6122//6122 6086//6086 3099//3099\nf 5309//5309 1041//1041 1102//1102\nf 3708//3708 3843//3843 3419//3419\nf 5354//5354 3419//3419 5301//5301\nf 990//990 5786//5786 2083//2083\nf 1249//1249 5827//5827 3321//3321\nf 3621//3621 1692//1692 2109//2109\nf 2949//2949 5879//5879 2083//2083\nf 5811//5811 5924//5924 1224//1224\nf 5827//5827 1224//1224 3321//3321\nf 5490//5490 5784//5784 3418//3418\nf 1062//1062 852//852 5810//5810\nf 913//913 3781//3781 5622//5622\nf 3781//3781 3893//3893 5622//5622\nf 1279//1279 5832//5832 5318//5318\nf 5268//5268 822//822 3957//3957\nf 5318//5318 5832//5832 3693//3693\nf 1298//1298 1041//1041 5309//5309\nf 6059//6059 3736//3736 5394//5394\nf 3609//3609 5458//5458 3490//3490\nf 5821//5821 5393//5393 1280//1280\nf 5236//5236 1250//1250 5813//5813\nf 5929//5929 3652//3652 1102//1102\nf 6041//6041 2042//2042 1642//1642\nf 3856//3856 968//968 3736//3736\nf 1237//1237 5539//5539 3736//3736\nf 3374//3374 1020//1020 5786//5786\nf 3856//3856 729//729 968//968\nf 5518//5518 1087//1087 1494//1494\nf 5595//5595 3330//3330 1111//1111\nf 5622//5622 4279//4279 1006//1006\nf 2061//2061 4073//4073 1056//1056\nf 1494//1494 2090//2090 3590//3590\nf 3597//3597 1249//1249 5225//5225\nf 3613//3613 5780//5780 5999//5999\nf 3601//3601 3634//3634 2113//2113\nf 3616//3616 3634//3634 1039//1039\nf 3616//3616 1039//1039 3700//3700\nf 2106//2106 1055//1055 1056//1056\nf 1055//1055 3848//3848 1056//1056\nf 3683//3683 6014//6014 1217//1217\nf 5997//5997 3394//3394 6014//6014\nf 3715//3715 4279//4279 2202//2202\nf 3394//3394 5657//5657 6014//6014\nf 5770//5770 3447//3447 1747//1747\nf 1146//1146 3737//3737 2110//2110\nf 5954//5954 1256//1256 5429//5429\nf 1068//1068 5271//5271 6075//6075\nf 1039//1039 3634//3634 964//964\nf 1256//1256 5320//5320 5429//5429\nf 5449//5449 3661//3661 1058//1058\nf 5516//5516 3662//3662 3867//3867\nf 5605//5605 5304//5304 1058//1058\nf 1083//1083 3685//3685 3845//3845\nf 1058//1058 3661//3661 3662//3662\nf 3594//3594 1233//1233 5768//5768\nf 846//846 3789//3789 3663//3663\nf 1217//1217 3528//3528 6146//6146\nf 1217//1217 3476//3476 3528//3528\nf 3179//3179 5438//5438 6167//6167\nf 3594//3594 4073//4073 3595//3595\nf 6164//6164 3702//3702 5826//5826\nf 987//987 5459//5459 3743//3743\nf 3664//3664 5721//5721 846//846\nf 3822//3822 3750//3750 3592//3592\nf 3712//3712 3519//3519 936//936\nf 3559//3559 1296//1296 6172//6172\nf 6048//6048 6040//6040 3537//3537\nf 1278//1278 1138//1138 6040//6040\nf 6126//6126 1281//1281 1145//1145\nf 3702//3702 6164//6164 897//897\nf 6117//6117 3398//3398 5670//5670\nf 3774//3774 5357//5357 1531//1531\nf 3399//3399 1274//1274 3320//3320\nf 1099//1099 3763//3763 5134//5134\nf 3626//3626 5858//5858 931//931\nf 3615//3615 1221//1221 5353//5353\nf 3626//3626 1178//1178 5858//5858\nf 5668//5668 5472//5472 1117//1117\nf 1096//1096 1012//1012 5569//5569\nf 928//928 3825//3825 3755//3755\nf 3614//3614 5353//5353 2157//2157\nf 1234//1234 5230//5230 1281//1281\nf 5896//5896 3790//3790 5269//5269\nf 3602//3602 5844//5844 1207//1207\nf 3614//3614 3615//3615 5353//5353\nf 3602//3602 5743//5743 5955//5955\nf 1084//1084 5562//5562 1155//1155\nf 5286//5286 5494//5494 3769//3769\nf 3425//3425 5951//5951 3360//3360\nf 5506//5506 1054//1054 3389//3389\nf 5772//5772 6008//6008 3355//3355\nf 3532//3532 5406//5406 6156//6156\nf 3399//3399 6119//6119 5669//5669\nf 918//918 3760//3760 1204//1204\nf 1032//1032 5368//5368 3603//3603\nf 5562//5562 5844//5844 3602//3602\nf 1221//1221 3615//3615 5854//5854\nf 3598//3598 3506//3506 5783//5783\nf 6103//6103 5350//5350 5286//5286\nf 5272//5272 769//769 1213//1213\nf 1187//1187 5991//5991 1232//1232\nf 3666//3666 3400//3400 5559//5559\nf 3401//3401 5557//5557 3694//3694\nf 5818//5818 5503//5503 2795//2795\nf 3759//3759 953//953 1417//1417\nf 5991//5991 1187//1187 1153//1153\nf 3769//3769 5494//5494 5783//5783\nf 3642//3642 1187//1187 6154//6154\nf 5029//5029 3529//3529 3942//3942\nf 5317//5317 1148//1148 5506//5506\nf 6121//6121 1134//1134 3818//3818\nf 3287//3287 1169//1169 3409//3409\nf 1072//1072 2252//2252 3416//3416\nf 5389//5389 3287//3287 3409//3409\nf 5364//5364 759//759 907//907\nf 2264//2264 5700//5700 3703//3703\nf 3530//3530 5695//5695 1141//1141\nf 5455//5455 2264//2264 5706//5706\nf 3955//3955 2245//2245 5834//5834\nf 3942//3942 4018//4018 6067//6067\nf 1391//1391 3210//3210 5410//5410\nf 1141//1141 5695//5695 3788//3788\nf 5635//5635 6110//6110 3734//3734\nf 3877//3877 2220//2220 6108//6108\nf 3638//3638 5602//5602 1238//1238\nf 2240//2240 978//978 3607//3607\nf 3607//3607 3704//3704 2240//2240\nf 3753//3753 1003//1003 1085//1085\nf 718//718 5796//5796 3599//3599\nf 3419//3419 5354//5354 3708//3708\nf 6080//6080 5301//5301 5813//5813\nf 5706//5706 3692//3692 5455//5455\nf 5796//5796 6066//6066 3037//3037\nf 5383//5383 3599//3599 3177//3177\nf 5319//5319 1225//1225 1111//1111\nf 5731//5731 3767//3767 3546//3546\nf 1494//1494 5335//5335 5518//5518\nf 3684//3684 3601//3601 3581//3581\nf 3703//3703 1179//1179 3330//3330\nf 3863//3863 5582//5582 3753//3753\nf 3703//3703 5764//5764 1179//1179\nf 5306//5306 2090//2090 5319//5319\nf 2090//2090 1494//1494 1225//1225\nf 3638//3638 1238//1238 3332//3332\nf 1135//1135 5402//5402 1051//1051\nf 5402//5402 5303//5303 2275//2275\nf 5297//5297 3690//3690 866//866\nf 3720//3720 1080//1080 3571//3571\nf 3720//3720 3725//3725 1080//1080\nf 866//866 3690//3690 1133//1133\nf 3850//3850 1007//1007 6133//6133\nf 3690//3690 3625//3625 1133//1133\nf 3910//3910 5761//5761 5542//5542\nf 1051//1051 5297//5297 866//866\nf 3835//3835 1264//1264 5474//5474\nf 5546//5546 1297//1297 5502//5502\nf 5897//5897 5293//5293 2081//2081\nf 2081//2081 5293//5293 3265//3265\nf 1118//1118 3910//3910 5542//5542\nf 5329//5329 999//999 3723//3723\nf 999//999 5480//5480 5914//5914\nf 5914//5914 3723//3723 999//999\nf 3914//3914 5902//5902 920//920\nf 5860//5860 5322//5322 5673//5673\nf 955//955 3914//3914 920//920\nf 6069//6069 4255//4255 3918//3918\nf 5913//5913 977//977 1106//1106\nf 5840//5840 4193//4193 952//952\nf 6128//6128 5875//5875 2265//2265\nf 6170//6170 3844//3844 5860//5860\nf 6170//6170 3836//3836 3844//3844\nf 1017//1017 3836//3836 1059//1059\nf 2077//2077 5502//5502 1013//1013\nf 5568//5568 5800//5800 6056//6056\nf 1136//1136 5933//5933 5868//5868\nf 3795//3795 3646//3646 5913//5913\nf 5875//5875 1013//1013 3637//3637\nf 959//959 3949//3949 2073//2073\nf 959//959 5358//5358 994//994\nf 3636//3636 5715//5715 2107//2107\nf 5715//5715 3536//3536 2107//2107\nf 2124//2124 3991//3991 994//994\nf 1005//1005 5386//5386 5912//5912\nf 3611//3611 3881//3881 5268//5268\nf 1047//1047 5906//5906 3439//3439\nf 3611//3611 3582//3582 5975//5975\nf 3768//3768 3815//3815 1076//1076\nf 5627//5627 3649//3649 5590//5590\nf 5627//5627 5431//5431 3649//3649\nf 5431//5431 971//971 3649//3649\nf 3768//3768 3686//3686 3947//3947\nf 5975//5975 3881//3881 3611//3611\nf 5475//5475 1089//1089 1572//1572\nf 3927//3927 5619//5619 3791//3791\nf 3518//3518 5275//5275 3315//3315\nf 5545//5545 3486//3486 3315//3315\nf 1572//1572 1089//1089 5412//5412\nf 3927//3927 3791//3791 3645//3645\nf 1113//1113 1023//1023 5533//5533\nf 5156//5156 3793//3793 5627//5627\nf 5339//5339 5434//5434 1074//1074\nf 5339//5339 2207//2207 5434//5434\nf 3568//3568 1095//1095 5030//5030\nf 5413//5413 5376//5376 5521//5521\nf 1091//1091 1312//1312 1362//1362\nf 5339//5339 6052//6052 2207//2207\nf 998//998 5940//5940 6052//6052\nf 996//996 5975//5975 1074//1074\nf 5616//5616 3791//3791 2225//2225\nf 5628//5628 1027//1027 998//998\nf 996//996 5920//5920 3677//3677\nf 3583//3583 3541//3541 6006//6006\nf 1426//1426 1237//1237 6135//6135\nf 1113//1113 1081//1081 1023//1023\nf 5682//5682 974//974 3857//3857\nf 5716//5716 5798//5798 2066//2066\nf 3665//3665 3950//3950 3749//3749\nf 6169//6169 3922//3922 3583//3583\nf 3677//3677 1223//1223 1001//1001\nf 3677//3677 6169//6169 6006//6006\nf 3677//3677 5920//5920 6169//6169\nf 5643//5643 5224//5224 5345//5345\nf 5682//5682 3857//3857 5609//5609\nf 3522//3522 5318//5318 2126//2126\nf 3654//3654 2207//2207 3691//3691\nf 6006//6006 1223//1223 3677//3677\nf 3583//3583 5442//5442 911//911\nf 5310//5310 3155//3155 2066//2066\nf 5838//5838 5619//5619 1637//1637\nf 995//995 1014//1014 5367//5367\nf 927//927 5227//5227 3652//3652\nf 3342//3342 5690//5690 3263//3263\nf 5690//5690 1312//1312 1091//1091\nf 1004//1004 5741//5741 5227//5227\nf 3761//3761 5963//5963 1250//1250\nf 3342//3342 1298//1298 5534//5534\nf 5309//5309 1102//1102 5227//5227\nf 5929//5929 3621//3621 3374//3374\nf 1096//1096 5490//5490 847//847\nf 5929//5929 3374//3374 5786//5786\nf 5569//5569 3862//3862 5784//5784\nf 1249//1249 3321//3321 5225//5225\nf 1249//1249 3244//3244 5392//5392\nf 5784//5784 3862//3862 3781//3781\nf 3761//3761 5929//5929 990//990\nf 913//913 5622//5622 4989//4989\nf 1642//1642 2042//2042 6131//6131\nf 5609//5609 5832//5832 5393//5393\nf 3650//3650 5318//5318 3693//3693\nf 2126//2126 3728//3728 857//857\nf 3413//3413 6034//6034 1298//1298\nf 5626//5626 3864//3864 6026//6026\nf 857//857 6026//6026 3856//3856\nf 5539//5539 3856//3856 3736//3736\nf 1044//1044 5308//5308 3650//3650\nf 5609//5609 3585//3585 3944//3944\nf 5626//5626 5977//5977 3864//3864\nf 6151//6151 5236//5236 3843//3843\nf 1298//1298 6034//6034 1041//1041\nf 1692//1692 3621//3621 1041//1041\nf 1579//1579 3776//3776 6131//6131\nf 3859//3859 1014//1014 3864//3864\nf 2202//2202 3848//3848 1055//1055\nf 3916//3916 5384//5384 5999//5999\nf 1039//1039 1117//1117 3700//3700\nf 5924//5924 880//880 3584//3584\nf 1062//1062 5810//5810 847//847\nf 2238//2238 5260//5260 6038//6038\nf 2138//2138 913//913 5811//5811\nf 991//991 5989//5989 5495//5495\nf 2137//2137 5847//5847 3837//3837\nf 6101//6101 1006//1006 5226//5226\nf 3715//3715 2202//2202 1055//1055\nf 5472//5472 5668//5668 5768//5768\nf 3616//3616 1146//1146 5904//5904\nf 3685//3685 6163//6163 1035//1035\nf 3685//3685 1083//1083 6163//6163\nf 3845//3845 5605//5605 3179//3179\nf 5621//5621 3520//3520 5579//5579\nf 5605//5605 5438//5438 3179//3179\nf 3617//3617 3732//3732 6104//6104\nf 6163//6163 1101//1101 1035//1035\nf 4073//4073 5668//5668 2106//2106\nf 5909//5909 3426//3426 3655//3655\nf 5776//5776 823//823 3504//3504\nf 3822//3822 1282//1282 3750//3750\nf 935//935 2104//2104 3614//3614\nf 1302//1302 1278//1278 5232//5232\nf 3661//3661 2061//2061 5511//5511\nf 1058//1058 3662//3662 5516//5516\nf 5355//5355 3664//3664 5965//5965\nf 3702//3702 897//897 1641//1641\nf 3594//3594 3865//3865 1233//1233\nf 3595//3595 3661//3661 5449//5449\nf 5954//5954 5429//5429 3286//3286\nf 6104//6104 3848//3848 3617//3617\nf 3742//3742 6164//6164 5826//5826\nf 5355//5355 5721//5721 3664//3664\nf 3742//3742 1114//1114 6164//6164\nf 1641//1641 1394//1394 3789//3789\nf 5633//5633 3712//3712 936//936\nf 5958//5958 5459//5459 5965//5965\nf 1082//1082 5926//5926 5254//5254\nf 2178//2178 1531//1531 1031//1031\nf 1115//1115 5326//5326 3519//3519\nf 3523//3523 3572//3572 1251//1251\nf 3399//3399 1104//1104 1274//1274\nf 1145//1145 1099//1099 6126//6126\nf 3572//3572 3537//3537 1251//1251\nf 3600//3600 1531//1531 5357//5357\nf 3682//3682 3809//3809 3681//3681\nf 1031//1031 5824//5824 2178//2178\nf 1098//1098 5039//5039 5687//5687\nf 5976//5976 3874//3874 5385//5385\nf 6172//6172 1057//1057 3559//3559\nf 3672//3672 1073//1073 6009//6009\nf 5743//5743 2084//2084 5955//5955\nf 3633//3633 3559//3559 5852//5852\nf 1234//1234 5418//5418 1296//1296\nf 916//916 5604//5604 938//938\nf 3320//3320 5980//5980 6119//6119\nf 5988//5988 3539//3539 5980//5980\nf 3539//3539 3540//3540 5980//5980\nf 5604//5604 3814//3814 938//938\nf 5884//5884 6039//6039 1094//1094\nf 5369//5369 1061//1061 3748//3748\nf 6103//6103 2096//2096 1032//1032\nf 3748//3748 5373//5373 3632//3632\nf 820//820 4201//4201 824//824\nf 3531//3531 1204//1204 5557//5557\nf 3666//3666 6113//6113 1130//1130\nf 5264//5264 5478//5478 3506//3506\nf 5369//5369 1094//1094 3506//3506\nf 1169//1169 3287//3287 3495//3495\nf 3831//3831 3929//3929 5478//5478\nf 6037//6037 3787//3787 6121//6121\nf 6017//6017 6113//6113 5457//5457\nf 3780//3780 3974//3974 800//800\nf 1130//1130 3658//3658 1313//1313\nf 3658//3658 5829//5829 1313//1313\nf 3829//3829 5036//5036 4015//4015\nf 3558//3558 3389//3389 3561//3561\nf 5829//5829 1169//1169 3558//3558\nf 5993//5993 3647//3647 1511//1511\nf 3647//3647 1149//1149 1511//1511\nf 3530//3530 5722//5722 3529//3529\nf 2851//2851 5389//5389 1332//1332\nf 3529//3529 5029//5029 3530//3530\nf 6060//6060 5452//5452 6065//6065\nf 6065//6065 1025//1025 6060//6060\nf 5463//5463 5372//5372 921//921\nf 6065//6065 5452//5452 2240//2240\nf 3612//3612 1320//1320 3562//3562\nf 1141//1141 5831//5831 3530//3530\nf 5660//5660 2166//2166 5874//5874\nf 3703//3703 5700//5700 5764//5764\nf 5372//5372 5582//5582 3037//3037\nf 1088//1088 2153//2153 1132//1132\nf 5297//5297 3835//3835 3910//3910\nf 2195//2195 2193//2193 1132//1132\nf 3644//3644 3535//3535 2681//2681\nf 3713//3713 1109//1109 1412//1412\nf 1144//1144 5303//5303 2681//2681\nf 1144//1144 922//922 5303//5303\nf 1205//1205 3503//3503 3709//3709\nf 1051//1051 5402//5402 2275//2275\nf 2195//2195 1132//1132 2153//2153\nf 1144//1144 950//950 922//922\nf 1019//1019 718//718 5383//5383\nf 5314//5314 2172//2172 3391//3391\nf 5033//5033 3849//3849 3177//3177\nf 5314//5314 5711//5711 2172//2172\nf 5400//5400 1205//1205 3709//3709\nf 3914//3914 5897//5897 5860//5860\nf 5322//5322 5603//5603 5943//5943\nf 5603//5603 1048//1048 5943//5943\nf 5474//5474 3391//3391 6070//6070\nf 920//920 3800//3800 3571//3571\nf 5474//5474 1264//1264 3391//3391\nf 1264//1264 5314//5314 3391//3391\nf 792//792 957//957 5792//5792\nf 5529//5529 949//949 5329//5329\nf 5625//5625 6002//6002 6016//6016\nf 1264//1264 3679//3679 5314//5314\nf 5914//5914 5803//5803 3723//3723\nf 5249//5249 843//843 5851//5851\nf 2141//2141 2080//2080 3265//3265\nf 2265//2265 5875//5875 3637//3637\nf 6128//6128 3560//3560 3424//3424\nf 840//840 3797//3797 3563//3563\nf 5249//5249 5615//5615 5758//5758\nf 5758//5758 2141//2141 843//843\nf 5542//5542 5761//5761 1017//1017\nf 5761//5761 5509//5509 1017//1017\nf 5753//5753 2085//2085 1231//1231\nf 888//888 3368//3368 975//975\nf 5501//5501 1005//1005 3510//3510\nf 1131//1131 1231//1231 1093//1093\nf 5820//5820 5453//5453 5868//5868\nf 1132//1132 3421//3421 1088//1088\nf 5984//5984 3846//3846 3795//3795\nf 5758//5758 843//843 5249//5249\nf 986//986 976//976 5606//5606\nf 4193//4193 3882//3882 952//952\nf 1297//1297 5546//5546 1016//1016\nf 5683//5683 5542//5542 6106//6106\nf 3882//3882 3801//3801 4255//4255\nf 5683//5683 1118//1118 5542//5542\nf 5453//5453 977//977 1136//1136\nf 975//975 6109//6109 5820//5820\nf 5453//5453 1106//1106 977//977\nf 5868//5868 888//888 975//975\nf 3768//3768 1076//1076 3686//3686\nf 5753//5753 3636//3636 2107//2107\nf 5868//5868 5933//5933 888//888\nf 5400//5400 1133//1133 1205//1205\nf 2225//2225 5619//5619 5838//5838\nf 5732//5732 5933//5933 3687//3687\nf 6143//6143 5527//5527 1076//1076\nf 3792//3792 5544//5544 896//896\nf 5806//5806 3714//3714 3947//3947\nf 5413//5413 5521//5521 3573//3573\nf 3714//3714 3768//3768 3947//3947\nf 3714//3714 5823//5823 3768//3768\nf 1637//1637 6010//6010 5838//5838\nf 3582//3582 3611//3611 2225//2225\nf 5727//5727 3439//3439 5806//5806\nf 3368//3368 5906//5906 975//975\nf 5979//5979 5619//5619 3927//3927\nf 5434//5434 2207//2207 3654//3654\nf 5979//5979 5533//5533 5619//5619\nf 3691//3691 2207//2207 3765//3765\nf 5620//5620 3365//3365 2118//2118\nf 5628//5628 1023//1023 1027//1027\nf 3654//3654 5920//5920 5434//5434\nf 3693//3693 3944//3944 1044//1044\nf 1279//1279 3522//3522 3676//3676\nf 1426//1426 6031//6031 1237//1237\nf 997//997 1280//1280 1279//1279\nf 5609//5609 3693//3693 5832//5832\nf 3665//3665 3876//3876 3950//3950\nf 3922//3922 5442//5442 3583//3583\nf 5107//5107 6141//6141 3749//3749\nf 3898//3898 3951//3951 3816//3816\nf 3777//3777 3665//3665 858//858\nf 5274//5274 790//790 3740//3740\nf 2066//2066 2088//2088 5310//5310\nf 6034//6034 995//995 6082//6082\nf 5270//5270 3727//3727 2238//2238\nf 5367//5367 3859//3859 965//965\nf 3859//3859 6015//6015 965//965\nf 5430//5430 3648//3648 5034//5034\nf 6015//6015 3747//3747 867//867\nf 5227//5227 5741//5741 5309//5309\nf 3621//3621 2109//2109 3374//3374\nf 6038//6038 5495//5495 2949//2949\nf 6038//6038 1062//1062 991//991\nf 5034//5034 5270//5270 1020//1020\nf 6007//6007 990//990 2083//2083\nf 5034//5034 1020//1020 3374//3374\nf 6038//6038 852//852 1062//1062\nf 3862//3862 3893//3893 3781//3781\nf 3933//3933 3821//3821 3999//3999\nf 3541//3541 6130//6130 5370//5370\nf 3834//3834 3833//3833 5977//5977\nf 3650//3650 2126//2126 5318//5318\nf 857//857 5539//5539 2126//2126\nf 867//867 5712//5712 5693//5693\nf 1237//1237 6031//6031 5539//5539\nf 729//729 1014//1014 995//995\nf 1692//1692 6034//6034 6082//6082\nf 3648//3648 5693//5693 906//906\nf 1102//1102 3652//3652 5227//5227\nf 5779//5779 847//847 3418//3418\nf 5226//5226 1006//1006 3715//3715\nf 3862//3862 1043//1043 3893//3893\nf 1043//1043 973//973 919//919\nf 973//973 1043//1043 3862//3862\nf 5810//5810 5855//5855 1096//1096\nf 3521//3521 5989//5989 933//933\nf 928//928 3755//3755 5855//5855\nf 919//919 6021//6021 5847//5847\nf 1410//1410 1310//1310 1246//1246\nf 3418//3418 847//847 5490//5490\nf 1146//1146 3700//3700 3737//3737\nf 3533//3533 3528//3528 5432//5432\nf 5668//5668 4073//4073 3594//3594\nf 3520//3520 3527//3527 3653//3653\nf 6091//6091 3683//3683 1217//1217\nf 6163//6163 5899//5899 1219//1219\nf 3595//3595 4073//4073 2061//2061\nf 5565//5565 3742//3742 3699//3699\nf 1146//1146 2110//2110 3527//3527\nf 3921//3921 3733//3733 972//972\nf 5449//5449 1058//1058 5304//5304\nf 1078//1078 3762//3762 3587//3587\nf 3631//3631 3390//3390 5565//5565\nf 6167//6167 5438//5438 3750//3750\nf 3994//3994 5511//5511 3810//3810\nf 897//897 1011//1011 5266//5266\nf 1024//1024 5342//5342 3489//3489\nf 3390//3390 3993//3993 5565//5565\nf 1082//1082 2147//2147 5926//5926\nf 2147//2147 3525//3525 1251//1251\nf 3733//3733 725//725 3981//3981\nf 5958//5958 3663//3663 5466//5466\nf 5958//5958 3664//3664 3663//3663\nf 3664//3664 846//846 3663//3663\nf 5232//5232 6048//6048 1277//1277\nf 3523//3523 5776//5776 3572//3572\nf 3523//3523 823//823 5776//5776\nf 6117//6117 5645//5645 3504//3504\nf 3600//3600 3669//3669 1031//1031\nf 3525//3525 2147//2147 1082//1082\nf 1115//1115 5134//5134 1209//1209\nf 3398//3398 2157//2157 5353//5353\nf 5633//5633 936//936 3817//3817\nf 1115//1115 1057//1057 6172//6172\nf 5243//5243 6033//6033 771//771\nf 1031//1031 1531//1531 3600//3600\nf 5752//5752 852//852 5260//5260\nf 5531//5531 3738//3738 3755//3755\nf 5752//5752 928//928 852//852\nf 5226//5226 3715//3715 940//940\nf 3781//3781 913//913 2138//2138\nf 928//928 5810//5810 852//852\nf 3519//3519 1057//1057 1115//1115\nf 5235//5235 5537//5537 5420//5420\nf 3813//3813 2182//2182 5678//5678\nf 5420//5420 5537//5537 5976//5976\nf 3971//3971 6009//6009 3773//3773\nf 3519//3519 3873//3873 1057//1057\nf 3712//3712 5633//5633 3711//3711\nf 3971//3971 5414//5414 6009//6009\nf 2084//2084 3771//3771 1098//1098\nf 5278//5278 1209//1209 3763//3763\nf 5687//5687 3619//3619 5955//5955\nf 5687//5687 5368//5368 3619//3619\nf 5852//5852 1116//1116 5385//5385\nf 5824//5824 1031//1031 3669//3669\nf 5687//5687 5039//5039 5368//5368\nf 2654//2654 5655//5655 1143//1143\nf 3853//3853 4028//4028 5756//5756\nf 6103//6103 1032//1032 5350//5350\nf 5494//5494 5286//5286 5350//5350\nf 6039//6039 5025//5025 3769//3769\nf 6116//6116 4083//4083 3757//3757\nf 1061//1061 5036//5036 3759//3759\nf 6113//6113 3666//3666 1206//1206\nf 2795//2795 3819//3819 5588//5588\nf 3606//3606 1229//1229 5559//5559\nf 1130//1130 6113//6113 1021//1021\nf 3606//3606 3558//3558 3561//3561\nf 1417//1417 5818//5818 3759//3759\nf 3780//3780 5807//5807 3974//3974\nf 918//918 6039//6039 5884//5884\nf 2069//2069 3780//3780 800//800\nf 5032//5032 6108//6108 3647//3647\nf 5778//5778 4018//4018 1149//1149\nf 5032//5032 5993//5993 3787//3787\nf 5722//5722 5223//5223 3529//3529\nf 5722//5722 3593//3593 5223//5223\nf 5722//5722 3530//3530 5831//5831\nf 5287//5287 1141//1141 5462//5462\nf 6121//6121 1071//1071 1134//1134\nf 1511//1511 5223//5223 1071//1071\nf 981//981 929//929 5804//5804\nf 5592//5592 3756//3756 875//875\nf 5364//5364 907//907 908//908\nf 3607//3607 5291//5291 3704//3704\nf 3718//3718 2120//2120 6134//6134\nf 2120//2120 5939//5939 6134//6134\nf 5939//5939 5464//5464 3937//3937\nf 1139//1139 5463//5463 921//921\nf 6060//6060 5623//5623 5452//5452\nf 3832//3832 5804//5804 980//980\nf 3678//3678 978//978 5452//5452\nf 3678//3678 1090//1090 3719//3719\nf 5695//5695 3803//3803 1033//1033\nf 1090//1090 905//905 3719//3719\nf 760//760 3955//3955 1090//1090\nf 1090//1090 3955//3955 5834//5834\nf 5523//5523 3556//3556 921//921\nf 5402//5402 1125//1125 3644//3644\nf 3569//3569 5238//5238 5869//5869\nf 2682//2682 3535//3535 3644//3644\nf 2681//2681 5303//5303 3644//3644\nf 5372//5372 5463//5463 3705//3705\nf 2252//2252 1072//1072 5623//5623\nf 3869//3869 2144//2144 2314//2314\nf 4199//4199 5110//5110 2144//2144\nf 5372//5372 6066//6066 3766//3766\nf 5636//5636 950//950 948//948\nf 950//950 850//850 948//948\nf 950//950 5510//5510 850//850\nf 1532//1532 2216//2216 5510//5510\nf 6012//6012 6133//6133 1052//1052\nf 5297//5297 1051//1051 3946//3946\nf 6012//6012 5586//5586 6133//6133\nf 3630//3630 3850//3850 6133//6133\nf 2275//2275 5303//5303 922//922\nf 2681//2681 1532//1532 1144//1144\nf 5470//5470 3939//3939 3941//3941\nf 3630//3630 3629//3629 5427//5427\nf 4038//4038 3599//3599 5796//5796\nf 1744//1744 1019//1019 5383//5383\nf 5402//5402 1135//1135 1125//1125\nf 5510//5510 1144//1144 1532//1532\nf 2216//2216 1532//1532 3643//3643\nf 5510//5510 2216//2216 5470//5470\nf 5529//5529 5329//5329 5570//5570\nf 5761//5761 3835//3835 5474//5474\nf 5761//5761 3910//3910 3835//3835\nf 5625//5625 2172//2172 1046//1046\nf 956//956 957//957 5468//5468\nf 3910//3910 3690//3690 5297//5297\nf 3725//3725 5294//5294 6072//6072\nf 3901//3901 600//600 2256//2256\nf 3914//3914 5860//5860 5673//5673\nf 1080//1080 3725//3725 6072//6072\nf 986//986 1002//1002 6069//6069\nf 843//843 840//840 3563//3563\nf 3620//3620 1208//1208 5758//5758\nf 2087//2087 2209//2209 2089//2089\nf 5160//5160 2256//2256 600//600\nf 3688//3688 5606//5606 5428//5428\nf 2087//2087 2089//2089 2082//2082\nf 6069//6069 3918//3918 976//976\nf 1106//1106 2222//2222 3536//3536\nf 1131//1131 2153//2153 5568//5568\nf 5615//5615 1002//1002 986//986\nf 1049//1049 976//976 993//993\nf 3625//3625 2193//2193 1133//1133\nf 1231//1231 5568//5568 6056//6056\nf 3510//3510 2085//2085 3567//3567\nf 3722//3722 5249//5249 1026//1026\nf 1106//1106 5453//5453 2222//2222\nf 3305//3305 2222//2222 5820//5820\nf 1136//1136 5358//5358 2073//2073\nf 5868//5868 975//975 5820//5820\nf 5715//5715 3795//3795 3536//3536\nf 5715//5715 5984//5984 3795//3795\nf 3439//3439 3714//3714 5806//5806\nf 3947//3947 1081//1081 5825//5825\nf 2225//2225 3611//3611 5616//5616\nf 5527//5527 5448//5448 1008//1008\nf 5727//5727 5806//5806 2146//2146\nf 5825//5825 1081//1081 1113//1113\nf 3793//3793 1005//1005 1047//1047\nf 6010//6010 1074//1074 5838//5838\nf 3793//3793 5386//5386 1005//1005\nf 5239//5239 5631//5631 1109//1109\nf 3686//3686 3812//3812 1081//1081\nf 5527//5527 988//988 1076//1076\nf 5239//5239 6157//6157 5631//5631\nf 5616//5616 6152//6152 3645//3645\nf 3691//3691 3922//3922 3654//3654\nf 5616//5616 3794//3794 6152//6152\nf 1027//1027 5672//5672 2306//2306\nf 3812//3812 988//988 3745//3745\nf 5906//5906 6109//6109 975//975\nf 5501//5501 3567//3567 6109//6109\nf 5030//5030 5497//5497 3608//3608\nf 3777//3777 858//858 5345//5345\nf 6077//6077 4008//4008 937//937\nf 6077//6077 5968//5968 6052//6052\nf 6006//6006 3541//3541 3509//3509\nf 5920//5920 3654//3654 6169//6169\nf 5345//5345 969//969 3777//3777\nf 790//790 6136//6136 3740//3740\nf 969//969 3740//3740 3816//3816\nf 5650//5650 2097//2097 784//784\nf 5310//5310 989//989 3676//3676\nf 5367//5367 6082//6082 995//995\nf 585//585 740//740 5446//5446\nf 5270//5270 5408//5408 1020//1020\nf 856//856 4894//4894 2242//2242\nf 5693//5693 5712//5712 934//934\nf 3747//3747 5747//5747 585//585\nf 906//906 3778//3778 3727//3727\nf 990//990 6007//6007 5963//5963\nf 5719//5719 3854//3854 5341//5341\nf 5226//5226 1039//1039 964//964\nf 5270//5270 906//906 3727//3727\nf 5034//5034 3648//3648 906//906\nf 5855//5855 1012//1012 1096//1096\nf 3999//3999 5145//5145 2086//2086\nf 2126//2126 3650//3650 3728//3728\nf 1044//1044 3650//3650 3693//3693\nf 3541//3541 5370//5370 989//989\nf 3933//3933 2003//2003 3821//3821\nf 2097//2097 86//86 735//735\nf 1014//1014 3859//3859 5367//5367\nf 2097//2097 3935//3935 784//784\nf 3648//3648 867//867 5693//5693\nf 5308//5308 1045//1045 3728//3728\nf 5941//5941 784//784 3935//3935\nf 968//968 729//729 995//995\nf 2097//2097 735//735 3935//3935\nf 5308//5308 3728//3728 3650//3650\nf 3682//3682 3796//3796 2137//2137\nf 3657//3657 2110//2110 3737//3737\nf 5465//5465 5755//5755 880//880\nf 581//581 1114//1114 972//972\nf 671//671 666//666 2278//2278\nf 5784//5784 3781//3781 2138//2138\nf 4037//4037 3954//3954 4036//4036\nf 919//919 5982//5982 6021//6021\nf 1117//1117 940//940 2106//2106\nf 6167//6167 1078//1078 3496//3496\nf 1078//1078 5327//5327 3496//3496\nf 3418//3418 5784//5784 2138//2138\nf 6022//6022 5924//5924 5811//5811\nf 3700//3700 1146//1146 3616//3616\nf 5765//5765 3631//3631 3699//3699\nf 5826//5826 5721//5721 3699//3699\nf 1056//1056 3848//3848 6104//6104\nf 5662//5662 5847//5847 2137//2137\nf 3810//3810 992//992 3847//3847\nf 5983//5983 2092//2092 3786//3786\nf 3867//3867 3390//3390 3631//3631\nf 3848//3848 2202//2202 3681//3681\nf 815//815 4823//4823 3101//3101\nf 5385//5385 5896//5896 5852//5852\nf 1114//1114 3808//3808 6036//6036\nf 6040//6040 987//987 3743//3743\nf 2288//2288 4046//4046 1040//1040\nf 846//846 5721//5721 5826//5826\nf 3664//3664 5958//5958 5965//5965\nf 2063//2063 4076//4076 3907//3907\nf 5976//5976 5385//5385 1116//1116\nf 3808//3808 581//581 3785//3785\nf 2178//2178 3873//3873 3712//3712\nf 1221//1221 5882//5882 5353//5353\nf 5633//5633 3817//3817 5266//5266\nf 5341//5341 5949//5949 5719//5719\nf 5166//5166 2173//2173 904//904\nf 2173//2173 4075//4075 2278//2278\nf 5622//5622 1006//1006 4989//4989\nf 5235//5235 3855//3855 2269//2269\nf 826//826 901//901 939//939\nf 5235//5235 2269//2269 5537//5537\nf 2164//2164 3940//3940 5243//5243\nf 2174//2174 2168//2168 3940//3940\nf 916//916 5677//5677 5604//5604\nf 1531//1531 3711//3711 3774//3774\nf 6009//6009 5414//5414 726//726\nf 3790//3790 3771//3771 2084//2084\nf 1032//1032 1155//1155 3619//3619\nf 5269//5269 5743//5743 5331//5331\nf 5955//5955 2084//2084 1098//1098\nf 5955//5955 1098//1098 5687//5687\nf 5269//5269 2084//2084 5743//5743\nf 1156//1156 3362//3362 2129//2129\nf 3362//3362 1156//1156 5876//5876\nf 1098//1098 3771//3771 5407//5407\nf 5684//5684 3780//3780 3757//3757\nf 5369//5369 5036//5036 1061//1061\nf 5980//5980 5882//5882 6119//6119\nf 1094//1094 5783//5783 3506//3506\nf 5783//5783 5494//5494 3598//3598\nf 6161//6161 3831//3831 5264//5264\nf 1061//1061 3759//3759 1028//1028\nf 800//800 3974//3974 6018//6018\nf 3974//3974 5703//5703 6018//6018\nf 3506//3506 3598//3598 5264//5264\nf 3764//3764 5228//5228 1028//1028\nf 5703//5703 6011//6011 3897//3897\nf 868//868 786//786 5807//5807\nf 3759//3759 5036//5036 953//953\nf 1028//1028 3759//3759 5818//5818\nf 5722//5722 5831//5831 3596//3596\nf 2220//2220 2150//2150 3972//3972\nf 5364//5364 5592//5592 3870//3870\nf 759//759 5834//5834 2245//2245\nf 3756//3756 5522//5522 3830//3830\nf 5623//5623 6060//6060 2252//2252\nf 1514//1514 5535//5535 3593//3593\nf 1063//1063 3678//3678 5452//5452\nf 760//760 1090//1090 3678//3678\nf 2220//2220 3782//3782 6108//6108\nf 1139//1139 5379//5379 1025//1025\nf 5291//5291 1003//1003 3753//3753\nf 760//760 3678//3678 1063//1063\nf 5291//5291 6134//6134 1003//1003\nf 3937//3937 6134//6134 5939//5939\nf 5463//5463 1025//1025 6065//6065\nf 753//753 2068//2068 3915//3915\nf 6016//6016 6003//6003 3680//3680\nf 6016//6016 6002//6002 6003//6003\nf 5297//5297 3946//3946 3835//3835\nf 2172//2172 5625//5625 3391//3391\nf 3679//3679 5636//5636 5314//5314\nf 3556//3556 1139//1139 921//921\nf 1139//1139 3751//3751 5379//5379\nf 3719//3719 978//978 3678//3678\nf 5804//5804 3945//3945 980//980\nf 2216//2216 1003//1003 2181//2181\nf 5711//5711 5636//5636 948//948\nf 1003//1003 2216//2216 1085//1085\nf 1051//1051 2275//2275 3946//3946\nf 5510//5510 950//950 1144//1144\nf 850//850 3941//3941 948//948\nf 3938//3938 2050//2050 2296//2296\nf 5293//5293 840//840 2141//2141\nf 3939//3939 805//805 3941//3941\nf 1532//1532 2681//2681 3569//3569\nf 6070//6070 5509//5509 5474//5474\nf 5322//5322 5871//5871 5603//5603\nf 3915//3915 925//925 3992//3992\nf 2050//2050 804//804 5158//5158\nf 2183//2183 2311//2311 660//660\nf 3805//3805 949//949 5529//5529\nf 3992//3992 837//837 4006//4006\nf 746//746 839//839 2196//2196\nf 3992//3992 925//925 837//837\nf 2224//2224 3915//3915 3805//3805\nf 3797//3797 955//955 920//920\nf 2180//2180 3805//3805 1048//1048\nf 5851//5851 1026//1026 5249//5249\nf 955//955 5293//5293 5897//5897\nf 5293//5293 2141//2141 3265//3265\nf 600//600 723//723 5190//5190\nf 4193//4193 4047//4047 4050//4050\nf 6025//6025 2265//2265 3637//3637\nf 1208//1208 3688//3688 2265//2265\nf 5468//5468 2180//2180 1048//1048\nf 2073//2073 3949//3949 3651//3651\nf 3846//3846 5984//5984 1049//1049\nf 1131//1131 1093//1093 1176//1176\nf 888//888 5823//5823 3368//3368\nf 1231//1231 6056//6056 5753//5753\nf 959//959 2073//2073 5358//5358\nf 2265//2265 6025//6025 1208//1208\nf 2087//2087 2082//2082 5915//5915\nf 3801//3801 3882//3882 5150//5150\nf 4005//4005 1026//1026 5915//5915\nf 898//898 5840//5840 3820//3820\nf 3918//3918 5519//5519 993//993\nf 5851//5851 843//843 3563//3563\nf 976//976 1049//1049 5606//5606\nf 4005//4005 5915//5915 2082//2082\nf 2325//2325 1000//1000 5150//5150\nf 2254//2254 2213//2213 4090//4090\nf 5851//5851 3563//3563 2098//2098\nf 1049//1049 5428//5428 5606//5606\nf 4047//4047 2114//2114 859//859\nf 2114//2114 2115//2115 859//859\nf 5750//5750 848//848 5915//5915\nf 5501//5501 5906//5906 1047//1047\nf 3991//3991 3911//3911 871//871\nf 5758//5758 5615//5615 3620//3620\nf 3721//3721 5201//5201 5141//5141\nf 889//889 2274//2274 869//869\nf 3687//3687 2073//2073 3651//3651\nf 5933//5933 5823//5823 888//888\nf 3846//3846 1042//1042 3646//3646\nf 887//887 5204//5204 4125//4125\nf 3731//3731 5732//5732 5894//5894\nf 1008//1008 5448//5448 747//747\nf 1218//1218 5745//5745 5277//5277\nf 988//988 5527//5527 3745//3745\nf 5527//5527 1008//1008 3745//3745\nf 5544//5544 3875//3875 896//896\nf 5672//5672 3812//3812 3745//3745\nf 3691//3691 3765//3765 5489//5489\nf 5431//5431 6139//6139 2146//2146\nf 5727//5727 6139//6139 1047//1047\nf 5489//5489 5643//5643 3691//3691\nf 6143//6143 3815//3815 3731//3731\nf 3567//3567 3305//3305 6109//6109\nf 5672//5672 1027//1027 1023//1023\nf 5940//5940 6077//6077 6052//6052\nf 5801//5801 2177//2177 3038//3038\nf 3791//3791 5616//5616 3645//3645\nf 3900//3900 5489//5489 5456//5456\nf 3166//3166 3770//3770 3951//3951\nf 3816//3816 3777//3777 969//969\nf 4155//4155 5311//5311 5097//5097\nf 3840//3840 3975//3975 5311//5311\nf 5234//5234 3665//3665 3749//3749\nf 1407//1407 3952//3952 4117//4117\nf 3975//3975 3269//3269 5097//5097\nf 5682//5682 3860//3860 1034//1034\nf 5339//5339 998//998 6052//6052\nf 858//858 5442//5442 5345//5345\nf 5339//5339 6010//6010 998//998\nf 3166//3166 861//861 3841//3841\nf 861//861 730//730 3841//3841\nf 911//911 5442//5442 858//858\nf 2126//2126 6031//6031 3522//3522\nf 5107//5107 2297//2297 6141//6141\nf 3770//3770 3840//3840 5311//5311\nf 5265//5265 5234//5234 3749//3749\nf 3676//3676 997//997 1279//1279\nf 3928//3928 5821//5821 2945//2945\nf 3858//3858 3804//3804 4288//4288\nf 974//974 683//683 6024//6024\nf 5626//5626 857//857 3728//3728\nf 5198//5198 732//732 3909//3909\nf 3944//3944 4002//4002 1044//1044\nf 6006//6006 6169//6169 3583//3583\nf 5666//5666 784//784 4002//4002\nf 3859//3859 3986//3986 6015//6015\nf 6034//6034 3779//3779 995//995\nf 6026//6026 1014//1014 729//729\nf 3604//3604 3778//3778 934//934\nf 4896//4896 3861//3861 4894//4894\nf 3778//3778 3604//3604 5551//5551\nf 5551//5551 5752//5752 5260//5260\nf 5779//5779 1062//1062 847//847\nf 927//927 1250//1250 6111//6111\nf 3919//3919 1012//1012 3466//3466\nf 2173//2173 2278//2278 904//904\nf 5650//5650 5766//5766 3999//3999\nf 5863//5863 162//162 4088//4088\nf 5977//5977 3986//3986 3864//3864\nf 1045//1045 5308//5308 5941//5941\nf 4149//4149 794//794 4826//4826\nf 4002//4002 3944//3944 5666//5666\nf 3935//3935 735//735 783//783\nf 784//784 5666//5666 5650//5650\nf 5941//5941 3834//3834 1045//1045\nf 5712//5712 5446//5446 934//934\nf 3833//3833 783//783 5749//5749\nf 5918//5918 822//822 4029//4029\nf 3486//3486 5996//5996 5412//5412\nf 5458//5458 1300//1300 3490//3490\nf 5918//5918 4029//4029 687//687\nf 919//919 3919//3919 5982//5982\nf 5847//5847 6021//6021 3837//3837\nf 919//919 973//973 3919//3919\nf 940//940 3715//3715 1055//1055\nf 6022//6022 913//913 4989//4989\nf 3617//3617 3786//3786 3732//3732\nf 3631//3631 5565//5565 3699//3699\nf 2110//2110 3494//3494 3527//3527\nf 4073//4073 2106//2106 1056//1056\nf 5662//5662 3893//3893 1043//1043\nf 6021//6021 3706//3706 3837//3837\nf 5622//5622 3893//3893 954//954\nf 5983//5983 2233//2233 2092//2092\nf 5438//5438 5605//5605 5516//5516\nf 3847//3847 992//992 5279//5279\nf 992//992 3921//3921 5279//5279\nf 3810//3810 6104//6104 3732//3732\nf 661//661 4036//4036 3954//3954\nf 581//581 3981//3981 3785//3785\nf 992//992 3732//3732 1673//1673\nf 992//992 3810//3810 3732//3732\nf 4046//4046 4186//4186 1040//1040\nf 5633//5633 5937//5937 3711//3711\nf 4130//4130 2374//2374 2375//2375\nf 936//936 1159//1159 3817//3817\nf 936//936 5326//5326 1159//1159\nf 1251//1251 3537//3537 2147//2147\nf 6172//6172 1296//1296 5418//5418\nf 3854//3854 3738//3738 5341//5341\nf 2242//2242 5446//5446 856//856\nf 863//863 2959//2959 2271//2271\nf 3940//3940 2168//2168 4077//4077\nf 2140//2140 849//849 961//961\nf 3739//3739 2288//2288 914//914\nf 844//844 2021//2021 4057//4057\nf 2218//2218 4033//4033 3814//3814\nf 2164//2164 2140//2140 2174//2174\nf 3855//3855 5491//5491 5556//5556\nf 5743//5743 5230//5230 5331//5331\nf 2263//2263 590//590 2379//2379\nf 3398//3398 6117//6117 2157//2157\nf 1296//1296 3559//3559 3633//3633\nf 5418//5418 6126//6126 1099//1099\nf 5331//5331 1296//1296 3633//3633\nf 5638//5638 5359//5359 3895//3895\nf 2335//2335 787//787 5578//5578\nf 5039//5039 6161//6161 5368//5368\nf 5896//5896 3633//3633 5852//5852\nf 5896//5896 5385//5385 3672//3672\nf 1156//1156 2096//2096 6103//6103\nf 5359//5359 824//824 3895//3895\nf 3814//3814 5414//5414 3971//3971\nf 3814//3814 5604//5604 5414//5414\nf 5360//5360 4084//4084 3895//3895\nf 1028//1028 5228//5228 5373//5373\nf 1274//1274 5613//5613 3320//3320\nf 3760//3760 918//918 5884//5884\nf 786//786 4048//4048 5703//5703\nf 3372//3372 1072//1072 3416//3416\nf 6108//6108 5032//5032 3877//3877\nf 5373//5373 1061//1061 1028//1028\nf 6017//6017 5457//5457 5228//5228\nf 6011//6011 5703//5703 4048//4048\nf 4083//4083 3929//3929 787//787\nf 3897//3897 6018//6018 5703//5703\nf 3942//3942 6067//6067 5029//5029\nf 908//908 6067//6067 4018//4018\nf 3818//3818 6037//6037 6121//6121\nf 3942//3942 1511//1511 1149//1149\nf 1075//1075 5390//5390 1134//1134\nf 5535//5535 1514//1514 1332//1332\nf 5595//5595 3332//3332 5285//5285\nf 3705//3705 3704//3704 5582//5582\nf 5593//5593 3903//3903 3782//3782\nf 5593//5593 2128//2128 3903//3903\nf 724//724 5103//5103 873//873\nf 907//907 6067//6067 908//908\nf 1033//1033 3788//3788 5695//5695\nf 3955//3955 1033//1033 2245//2245\nf 5463//5463 1139//1139 1025//1025\nf 981//981 759//759 929//929\nf 2180//2180 2224//2224 3805//3805\nf 1046//1046 6002//6002 5625//5625\nf 3802//3802 948//948 5816//5816\nf 5636//5636 3679//3679 922//922\nf 4007//4007 2050//2050 5158//5158\nf 4071//4071 746//746 2196//2196\nf 2296//2296 2050//2050 4007//4007\nf 3421//3421 1118//1118 5683//5683\nf 3938//3938 2296//2296 6047//6047\nf 3719//3719 2120//2120 3718//3718\nf 4120//4120 813//813 2311//2311\nf 813//813 3938//3938 660//660\nf 5711//5711 3802//3802 2172//2172\nf 4007//4007 746//746 2296//2296\nf 3939//3939 5464//5464 805//805\nf 2314//2314 2144//2144 4120//4120\nf 3265//3265 2080//2080 1297//1297\nf 2314//2314 2136//2136 3869//3869\nf 5902//5902 5570//5570 5329//5329\nf 3988//3988 792//792 5792//5792\nf 3723//3723 3800//3800 5329//5329\nf 2855//2855 1214//1214 719//719\nf 3571//3571 2098//2098 3797//3797\nf 949//949 4006//4006 999//999\nf 3563//3563 3797//3797 2098//2098\nf 4101//4101 592//592 723//723\nf 5468//5468 957//957 2180//2180\nf 4255//4255 3801//3801 3918//3918\nf 1026//1026 898//898 3722//3722\nf 2115//2115 945//945 4256//4256\nf 6069//6069 1002//1002 3820//3820\nf 5343//5343 2089//2089 2256//2256\nf 3725//3725 3956//3956 5294//5294\nf 3688//3688 1208//1208 3620//3620\nf 5757//5757 5698//5698 3875//3875\nf 5135//5135 5201//5201 3721//3721\nf 5913//5913 3646//3646 994//994\nf 3795//3795 3846//3846 3646//3646\nf 5757//5757 869//869 4125//4125\nf 3949//3949 889//889 3651//3651\nf 994//994 3646//3646 2124//2124\nf 3911//3911 5135//5135 3721//3721\nf 3991//3991 871//871 2101//2101\nf 5894//5894 5544//5544 3731//3731\nf 889//889 869//869 3875//3875\nf 3991//3991 2101//2101 959//959\nf 869//869 2274//2274 887//887\nf 5101//5101 2212//2212 4251//4251\nf 6//6 5126//5126 2056//2056\nf 2255//2255 2094//2094 3886//3886\nf 3687//3687 5894//5894 5732//5732\nf 1076//1076 3815//3815 6143//6143\nf 915//915 3038//3038 2177//2177\nf 4008//4008 5781//5781 2177//2177\nf 3649//3649 1170//1170 5590//5590\nf 5627//5627 5590//5590 5239//5239\nf 4008//4008 2306//2306 5781//5781\nf 5790//5790 5698//5698 2941//2941\nf 5489//5489 5274//5274 5224//5224\nf 3567//3567 2085//2085 3305//3305\nf 894//894 5968//5968 937//937\nf 2306//2306 6077//6077 5940//5940\nf 5781//5781 1008//1008 2177//2177\nf 1008//1008 747//747 2177//2177\nf 894//894 5456//5456 5968//5968\nf 5179//5179 860//860 5790//5790\nf 915//915 860//860 5179//5179\nf 988//988 3812//3812 3686//3686\nf 911//911 6130//6130 3541//3541\nf 3038//3038 5658//5658 5801//5801\nf 5658//5658 894//894 937//937\nf 5658//5658 6099//6099 4009//4009\nf 911//911 5234//5234 6130//6130\nf 3900//3900 4009//4009 790//790\nf 5177//5177 5219//5219 3852//3852\nf 3876//3876 3665//3665 3777//3777\nf 5177//5177 6136//6136 5219//5219\nf 5177//5177 3166//3166 3898//3898\nf 5456//5456 894//894 3900//3900\nf 5968//5968 6077//6077 937//937\nf 3975//3975 1407//1407 3269//3269\nf 1279//1279 5318//5318 3522//3522\nf 5188//5188 3909//3909 2237//2237\nf 3770//3770 2253//2253 3951//3951\nf 3888//3888 944//944 3807//3807\nf 3840//3840 751//751 1472//1472\nf 6130//6130 5234//5234 5265//5265\nf 1034//1034 974//974 5682//5682\nf 5898//5898 1034//1034 3860//3860\nf 5898//5898 3948//3948 1034//1034\nf 872//872 535//535 162//162\nf 3807//3807 1348//1348 2135//2135\nf 1348//1348 3804//3804 3858//3858\nf 5898//5898 6141//6141 3948//3948\nf 4664//4664 5749//5749 5035//5035\nf 3747//3747 3730//3730 5747//5747\nf 3864//3864 1014//1014 6026//6026\nf 965//965 6015//6015 867//867\nf 668//668 2305//2305 3861//3861\nf 3727//3727 5551//5551 5260//5260\nf 3778//3778 5551//5551 3727//3727\nf 5253//5253 2282//2282 5747//5747\nf 5446//5446 740//740 856//856\nf 5747//5747 2282//2282 2103//2103\nf 3746//3746 2242//2242 3997//3997\nf 1012//1012 5855//5855 3466//3466\nf 2949//2949 2238//2238 6038//6038\nf 3890//3890 5719//5719 5949//5949\nf 900//900 5540//5540 2309//2309\nf 5855//5855 5810//5810 928//928\nf 2949//2949 5408//5408 2238//2238\nf 5650//5650 5666//5666 5766//5766\nf 5310//5310 3676//3676 3155//3155\nf 670//670 86//86 2086//2086\nf 2086//2086 2097//2097 5650//5650\nf 5832//5832 1279//1279 1280//1280\nf 3585//3585 5666//5666 3944//3944\nf 3833//3833 3834//3834 783//783\nf 5430//5430 5367//5367 965//965\nf 5430//5430 6082//6082 5367//5367\nf 585//585 5712//5712 3747//3747\nf 5446//5446 3746//3746 934//934\nf 668//668 263//263 2305//2305\nf 783//783 932//932 5749//5749\nf 5035//5035 5749//5749 932//932\nf 6059//6059 3245//3245 6135//6135\nf 5847//5847 5662//5662 1043//1043\nf 737//737 5540//5540 2169//2169\nf 1983//1983 4166//4166 5127//5127\nf 5540//5540 4004//4004 2169//2169\nf 4003//4003 2173//2173 2362//2362\nf 3891//3891 3682//3682 3837//3837\nf 6021//6021 5381//5381 3706//3706\nf 3796//3796 954//954 2137//2137\nf 2431//2431 2362//2362 4014//4014\nf 5569//5569 973//973 3862//3862\nf 3418//3418 2138//2138 933//933\nf 3179//3179 6167//6167 3496//3496\nf 3715//3715 1006//1006 4279//4279\nf 3521//3521 1224//1224 5827//5827\nf 6022//6022 4989//4989 6101//6101\nf 954//954 3796//3796 4279//4279\nf 5924//5924 6022//6022 5465//5465\nf 1036//1036 5321//5321 3865//3865\nf 1035//1035 5865//5865 5273//5273\nf 1035//1035 1180//1180 5865//5865\nf 4208//4208 2060//2060 2930//2930\nf 4104//4104 2233//2233 902//902\nf 6104//6104 2061//2061 1056//1056\nf 5511//5511 2061//2061 6104//6104\nf 3706//3706 3976//3976 902//902\nf 3750//3750 3762//3762 6167//6167\nf 972//972 3733//3733 581//581\nf 3845//3845 1036//1036 5304//5304\nf 4823//4823 4146//4146 1655//1655\nf 2930//2930 3185//3185 765//765\nf 3808//3808 1114//1114 581//581\nf 3014//3014 5216//5216 3981//3981\nf 3813//3813 5197//5197 2182//2182\nf 5146//5146 2091//2091 816//816\nf 5111//5111 4137//4137 791//791\nf 4270//4270 4092//4092 1982//1982\nf 2091//2091 2127//2127 3866//3866\nf 6055//6055 5357//5357 914//914\nf 5146//5146 3735//3735 2091//2091\nf 6055//6055 1040//1040 3813//3813\nf 782//782 3826//3826 3746//3746\nf 4106//4106 681//681 2273//2273\nf 2242//2242 4894//4894 2310//2310\nf 4014//4014 5127//5127 609//609\nf 2374//2374 4130//4130 4270//4270\nf 4132//4132 3912//3912 3908//3908\nf 2148//2148 3924//3924 5556//5556\nf 961//961 2174//2174 2140//2140\nf 2163//2163 844//844 1010//1010\nf 3739//3739 5608//5608 2288//2288\nf 2164//2164 5556//5556 2140//2140\nf 1057//1057 3873//3873 6044//6044\nf 5243//5243 3940//3940 6033//6033\nf 2218//2218 3814//3814 882//882\nf 895//895 5537//5537 2269//2269\nf 3853//3853 1073//1073 3874//3874\nf 2263//2263 5167//5167 590//590\nf 3519//3519 3712//3712 3873//3873\nf 6044//6044 5824//5824 1116//1116\nf 844//844 4059//4059 2021//2021\nf 844//844 697//697 4059//4059\nf 2117//2117 3872//3872 882//882\nf 3559//3559 1057//1057 6044//6044\nf 770//770 2117//2117 939//939\nf 3853//3853 771//771 4028//4028\nf 2084//2084 5269//5269 3790//3790\nf 5420//5420 1116//1116 5824//5824\nf 5852//5852 6044//6044 1116//1116\nf 5269//5269 5331//5331 3633//3633\nf 2287//2287 662//662 5638//5638\nf 726//726 3790//3790 5896//5896\nf 5677//5677 3771//3771 3790//3790\nf 662//662 2287//2287 4060//4060\nf 2335//2335 2165//2165 4016//4016\nf 3814//3814 3971//3971 882//882\nf 938//938 5360//5360 916//916\nf 2218//2218 4054//4054 3871//3871\nf 3895//3895 2287//2287 5638//5638\nf 3895//3895 4084//4084 2287//2287\nf 6161//6161 820//820 3831//3831\nf 5228//5228 3632//3632 5373//5373\nf 4201//4201 6161//6161 5039//5039\nf 868//868 5807//5807 5684//5684\nf 5333//5333 5503//5503 1417//1417\nf 2102//2102 6147//6147 1084//1084\nf 5829//5829 3409//3409 1169//1169\nf 786//786 4049//4049 4048//4048\nf 3895//3895 824//824 5360//5360\nf 5522//5522 908//908 4018//4018\nf 4015//4015 5478//5478 6116//6116\nf 2128//2128 5593//5593 3972//3972\nf 4030//4030 2266//2266 3917//3917\nf 4030//4030 4154//4154 2266//2266\nf 724//724 5203//5203 803//803\nf 5831//5831 5287//5287 3596//3596\nf 3788//3788 5263//5263 5462//5462\nf 724//724 803//803 5103//5103\nf 3596//3596 5287//5287 3415//3415\nf 5098//5098 1765//1765 586//586\nf 3756//3756 3830//3830 875//875\nf 542//542 610//610 5096//5096\nf 5834//5834 905//905 1090//1090\nf 3756//3756 5364//5364 908//908\nf 5780//5780 5363//5363 3916//3916\nf 2264//2264 3751//3751 5700//5700\nf 5780//5780 3612//3612 3562//3562\nf 4941//4941 5158//5158 804//804\nf 3832//3832 5939//5939 2120//2120\nf 2240//2240 5452//5452 978//978\nf 2183//2183 5554//5554 1046//1046\nf 3782//3782 2220//2220 5593//5593\nf 2220//2220 3972//3972 5593//5593\nf 3972//3972 3897//3897 2128//2128\nf 2240//2240 3705//3705 6065//6065\nf 813//813 2144//2144 5110//5110\nf 5869//5869 5238//5238 4038//4038\nf 5869//5869 3643//3643 3569//3569\nf 3643//3643 1085//1085 2216//2216\nf 5804//5804 6071//6071 3945//3945\nf 3803//3803 6067//6067 907//907\nf 5603//5603 3680//3680 5468//5468\nf 3938//3938 813//813 5110//5110\nf 805//805 5464//5464 2314//2314\nf 5464//5464 2136//2136 2314//2314\nf 5542//5542 1017//1017 6106//6106\nf 5110//5110 2050//2050 3938//3938\nf 5792//5792 957//957 4000//4000\nf 5464//5464 5939//5939 980//980\nf 2311//2311 5816//5816 4120//4120\nf 6134//6134 5291//5291 3718//3718\nf 3535//3535 5238//5238 3569//3569\nf 5487//5487 5033//5033 658//658\nf 3939//3939 2181//2181 3937//3937\nf 2181//2181 6134//6134 3937//3937\nf 5487//5487 1022//1022 5033//5033\nf 792//792 3988//3988 3920//3920\nf 1680//1680 1214//1214 2577//2577\nf 6047//6047 5554//5554 660//660\nf 4089//4089 4941//4941 804//804\nf 4063//4063 744//744 2289//2289\nf 6016//6016 3680//3680 5871//5871\nf 4023//4023 741//741 839//839\nf 5761//5761 5474//5474 5509//5509\nf 2183//2183 5816//5816 2311//2311\nf 6003//6003 956//956 3680//3680\nf 746//746 4023//4023 839//839\nf 5816//5816 805//805 4120//4120\nf 5570//5570 5673//5673 5943//5943\nf 5603//5603 5871//5871 3680//3680\nf 2249//2249 1999//1999 613//613\nf 5902//5902 5329//5329 3800//3800\nf 753//753 3915//3915 2224//2224\nf 2249//2249 5142//5142 1999//1999\nf 6047//6047 2296//2296 4071//4071\nf 3720//3720 3571//3571 3800//3800\nf 2296//2296 746//746 4071//4071\nf 956//956 6003//6003 5994//5994\nf 2098//2098 3571//3571 1080//1080\nf 956//956 5994//5994 4000//4000\nf 5914//5914 5480//5480 5978//5978\nf 3800//3800 3723//3723 3720//3720\nf 945//945 2115//2115 2114//2114\nf 923//923 945//945 2114//2114\nf 5840//5840 952//952 3820//3820\nf 952//952 4255//4255 3820//3820\nf 5529//5529 5943//5943 1048//1048\nf 2082//2082 3913//3913 4005//4005\nf 5603//5603 5468//5468 1048//1048\nf 848//848 2087//2087 5915//5915\nf 945//945 2089//2089 5343//5343\nf 5715//5715 3636//3636 3560//3560\nf 6025//6025 3637//3637 2080//2080\nf 2254//2254 2325//2325 4050//4050\nf 977//977 5913//5913 5358//5358\nf 4031//4031 3801//3801 5150//5150\nf 5204//5204 887//887 3886//3886\nf 887//887 2255//2255 3886//3886\nf 5135//5135 5519//5519 4031//4031\nf 2094//2094 4180//4180 6//6\nf 5101//5101 2184//2184 776//776\nf 2941//2941 2186//2186 5115//5115\nf 706//706 5126//5126 3964//3964\nf 706//706 2056//2056 5126//5126\nf 634//634 854//854 5126//5126\nf 5179//5179 5196//5196 4957//4957\nf 5801//5801 4008//4008 2177//2177\nf 5196//5196 5179//5179 5115//5115\nf 5781//5781 5672//5672 3745//3745\nf 3792//3792 5448//5448 6143//6143\nf 5448//5448 5527//5527 6143//6143\nf 5801//5801 5658//5658 937//937\nf 5628//5628 5533//5533 1023//1023\nf 860//860 917//917 5790//5790\nf 1637//1637 5619//5619 5533//5533\nf 5979//5979 1113//1113 5533//5533\nf 3815//3815 5823//5823 5732//5732\nf 5727//5727 2146//2146 6139//6139\nf 5979//5979 3806//3806 1113//1113\nf 3900//3900 894//894 4009//4009\nf 1953//1953 605//605 4085//4085\nf 6099//6099 5658//5658 4945//4945\nf 6077//6077 2306//2306 4008//4008\nf 4009//4009 894//894 5658//5658\nf 6099//6099 3851//3851 4009//4009\nf 3740//3740 6136//6136 3898//3898\nf 3816//3816 3740//3740 3898//3898\nf 5224//5224 5274//5274 969//969\nf 6130//6130 5265//5265 2945//2945\nf 3975//3975 5097//5097 5311//5311\nf 3777//3777 3816//3816 3876//3876\nf 3816//3816 3951//3951 3876//3876\nf 3952//3952 2276//2276 4117//4117\nf 5188//5188 3888//3888 3807//3807\nf 2235//2235 3943//3943 795//795\nf 3860//3860 5393//5393 5821//5821\nf 1280//1280 5393//5393 5832//5832\nf 3841//3841 730//730 739//739\nf 5821//5821 997//997 5370//5370\nf 3958//3958 4227//4227 263//263\nf 5430//5430 965//965 3648//3648\nf 4896//4896 856//856 2277//2277\nf 585//585 2103//2103 740//740\nf 867//867 3648//3648 965//965\nf 2309//2309 3738//3738 5531//5531\nf 4032//4032 2387//2387 668//668\nf 5879//5879 2949//2949 5495//5495\nf 4004//4004 5540//5540 4213//4213\nf 6027//6027 900//900 2309//2309\nf 798//798 3343//3343 2235//2235\nf 5863//5863 4869//4869 162//162\nf 3909//3909 2135//2135 5198//5198\nf 86//86 2214//2214 932//932\nf 2297//2297 3888//3888 4127//4127\nf 784//784 5941//5941 4002//4002\nf 2244//2244 4776//4776 794//794\nf 86//86 932//932 735//735\nf 3944//3944 3693//3693 5609//5609\nf 86//86 2097//2097 2086//2086\nf 5609//5609 5393//5393 5682//5682\nf 3833//3833 3986//3986 5977//5977\nf 3935//3935 783//783 3834//3834\nf 86//86 4140//4140 2214//2214\nf 4664//4664 4141//4141 2282//2282\nf 5446//5446 2242//2242 3746//3746\nf 1869//1869 1937//1937 4166//4166\nf 2363//2363 891//891 4074//4074\nf 5166//5166 904//904 6023//6023\nf 3976//3976 3899//3899 2246//2246\nf 3976//3976 5381//5381 3899//3899\nf 2246//2246 3899//3899 4099//4099\nf 3899//3899 5381//5381 671//671\nf 4099//4099 4074//4074 665//665\nf 3466//3466 3854//3854 5719//5719\nf 4099//4099 4075//4075 4074//4074\nf 3285//3285 2139//2139 1303//1303\nf 3921//3921 661//661 3733//3733\nf 3682//3682 3891//3891 3809//3809\nf 3657//3657 5432//5432 2110//2110\nf 2362//2362 2431//2431 4003//4003\nf 5768//5768 3657//3657 3737//3737\nf 2127//2127 3729//3729 3808//3808\nf 1180//1180 1101//1101 6160//6160\nf 5511//5511 3662//3662 3661//3661\nf 3994//3994 3867//3867 3662//3662\nf 3994//3994 3847//3847 3867//3867\nf 3994//3994 3810//3810 3847//3847\nf 4146//4146 161//161 2930//2930\nf 6036//6036 6164//6164 1114//1114\nf 3981//3981 581//581 3733//3733\nf 2178//2178 3712//3712 3711//3711\nf 1040//1040 4186//4186 3813//3813\nf 3739//3739 5937//5937 5608//5608\nf 849//849 2140//2140 3924//3924\nf 2380//2380 5193//5193 4072//4072\nf 5111//5111 4136//4136 4137//4137\nf 4894//4894 4895//4895 2310//2310\nf 3738//3738 2309//2309 737//737\nf 3919//3919 3890//3890 5982//5982\nf 3854//3854 3466//3466 5855//5855\nf 3755//3755 3854//3854 5855//5855\nf 3774//3774 3739//3739 914//914\nf 849//849 3907//3907 3906//3906\nf 4130//4130 4264//4264 4270//4270\nf 849//849 3906//3906 961//961\nf 4145//4145 4078//4078 3906//3906\nf 1009//1009 4077//4077 2271//2271\nf 1009//1009 864//864 3828//3828\nf 6044//6044 3873//3873 5824//5824\nf 5556//5556 3924//3924 2140//2140\nf 2148//2148 5678//5678 3924//3924\nf 916//916 3771//3771 5677//5677\nf 5235//5235 5491//5491 3855//3855\nf 3912//3912 4132//4132 863//863\nf 826//826 6033//6033 1009//1009\nf 2260//2260 4281//4281 4247//4247\nf 2260//2260 2262//2262 4281//4281\nf 5756//5756 3773//3773 3853//3853\nf 727//727 845//845 2021//2021\nf 939//939 2117//2117 5756//5756\nf 3672//3672 3874//3874 1073//1073\nf 4033//4033 4084//4084 938//938\nf 4033//4033 2392//2392 4084//4084\nf 2392//2392 2287//2287 4084//4084\nf 895//895 771//771 3853//3853\nf 697//697 2163//2163 901//901\nf 3871//3871 2392//2392 4033//4033\nf 3871//3871 4033//4033 2218//2218\nf 3874//3874 5976//5976 895//895\nf 4144//4144 2344//2344 4215//4215\nf 2344//2344 807//807 4215//4215\nf 5896//5896 5269//5269 3633//3633\nf 2344//2344 5624//5624 807//807\nf 4201//4201 820//820 6161//6161\nf 3831//3831 828//828 3929//3929\nf 1073//1073 3853//3853 3773//3773\nf 3672//3672 5385//5385 3874//3874\nf 882//882 3971//3971 2117//2117\nf 3769//3769 5783//5783 6039//6039\nf 6017//6017 5228//5228 3764//3764\nf 2179//2179 5578//5578 5638//5638\nf 3782//3782 5778//5778 6108//6108\nf 5407//5407 3771//3771 916//916\nf 5036//5036 3829//3829 953//953\nf 3829//3829 2069//2069 953//953\nf 4015//4015 5036//5036 5369//5369\nf 6018//6018 2150//2150 800//800\nf 3757//3757 4083//4083 5684//5684\nf 4016//4016 2165//2165 5102//5102\nf 4010//4010 5215//5215 842//842\nf 963//963 953//953 2069//2069\nf 3829//3829 3757//3757 2069//2069\nf 3829//3829 6116//6116 3757//3757\nf 6011//6011 4048//4048 2333//2333\nf 963//963 2069//2069 800//800\nf 3596//3596 5635//5635 1514//1514\nf 5695//5695 3530//3530 5029//5029\nf 2150//2150 963//963 800//800\nf 875//875 879//879 5592//5592\nf 1033//1033 3955//3955 3959//3959\nf 842//842 4079//4079 2283//2283\nf 842//842 5215//5215 614//614\nf 3756//3756 5592//5592 5364//5364\nf 3607//3607 3718//3718 5291//5291\nf 5470//5470 2216//2216 2181//2181\nf 950//950 5636//5636 922//922\nf 5816//5816 948//948 3941//3941\nf 2136//2136 3945//3945 3869//3869\nf 5522//5522 3756//3756 908//908\nf 948//948 3802//3802 5711//5711\nf 905//905 2120//2120 3719//3719\nf 905//905 3832//3832 2120//2120\nf 660//660 3938//3938 6047//6047\nf 3265//3265 1297//1297 1016//1016\nf 3802//3802 5816//5816 2183//2183\nf 5939//5939 3832//3832 980//980\nf 905//905 981//981 3832//3832\nf 2289//2289 744//744 728//728\nf 4941//4941 742//742 5158//5158\nf 905//905 5834//5834 981//981\nf 4222//4222 4079//4079 4953//4953\nf 5105//5105 3920//3920 3988//3988\nf 5554//5554 6003//6003 6002//6002\nf 3571//3571 3797//3797 920//920\nf 4023//4023 2249//2249 741//741\nf 4023//4023 746//746 4063//4063\nf 3970//3970 4875//4875 4876//4876\nf 3797//3797 840//840 955//955\nf 3920//3920 5105//5105 2125//2125\nf 2098//2098 5750//5750 5851//5851\nf 2142//2142 3878//3878 837//837\nf 5978//5978 5480//5480 3878//3878\nf 3892//3892 951//951 941//941\nf 2031//2031 555//555 653//653\nf 3892//3892 2112//2112 951//951\nf 832//832 2223//2223 870//870\nf 5914//5914 5978//5978 3990//3990\nf 5554//5554 6047//6047 5994//5994\nf 949//949 3805//3805 4006//4006\nf 5343//5343 5160//5160 2211//2211\nf 5750//5750 1026//1026 5851//5851\nf 5750//5750 5915//5915 1026//1026\nf 612//612 5469//5469 4019//4019\nf 3913//3913 5840//5840 4005//4005\nf 4064//4064 853//853 2325//2325\nf 1002//1002 5615//5615 3722//3722\nf 4050//4050 5150//5150 3882//3882\nf 4050//4050 2325//2325 5150//5150\nf 877//877 4266//4266 4223//4223\nf 3820//3820 4255//4255 6069//6069\nf 2211//2211 4256//4256 5343//5343\nf 5606//5606 3620//3620 986//986\nf 2124//2124 3646//3646 1042//1042\nf 869//869 887//887 4125//4125\nf 887//887 2274//2274 2255//2255\nf 994//994 5358//5358 5913//5913\nf 4090//4090 745//745 4062//4062\nf 5840//5840 898//898 4005//4005\nf 4223//4223 2295//2295 2294//2294\nf 3918//3918 993//993 976//976\nf 3721//3721 2094//2094 871//871\nf 890//890 5135//5135 3911//3911\nf 4031//4031 5201//5201 5135//5135\nf 3560//3560 5428//5428 5984//5984\nf 3949//3949 2274//2274 889//889\nf 3721//3721 871//871 3911//3911\nf 2124//2124 3911//3911 3991//3991\nf 896//896 3875//3875 5698//5698\nf 2184//2184 2322//2322 776//776\nf 2359//2359 3995//3995 4180//4180\nf 3995//3995 673//673 634//634\nf 634//634 673//673 1455//1455\nf 2274//2274 2101//2101 2255//2255\nf 889//889 5544//5544 3651//3651\nf 4272//4272 1355//1355 1455//1455\nf 5196//5196 4276//4276 4948//4948\nf 2186//2186 3996//3996 4934//4934\nf 747//747 5448//5448 917//917\nf 3894//3894 5196//5196 5115//5115\nf 825//825 2056//2056 706//706\nf 5968//5968 5456//5456 3765//3765\nf 3038//3038 4945//4945 5658//5658\nf 5115//5115 2186//2186 3894//3894\nf 3812//3812 5672//5672 1023//1023\nf 4067//4067 3963//3963 730//730\nf 3842//3842 730//730 861//861\nf 5180//5180 5147//5147 5219//5219\nf 4195//4195 601//601 4067//4067\nf 3900//3900 5274//5274 5489//5489\nf 885//885 1404//1404 3889//3889\nf 2323//2323 683//683 974//974\nf 3950//3950 5107//5107 3749//3749\nf 4067//4067 4987//4987 3963//3963\nf 5175//5175 5174//5174 601//601\nf 4067//4067 730//730 3842//3842\nf 3962//3962 736//736 1404//1404\nf 5219//5219 6136//6136 3851//3851\nf 736//736 3962//3962 4085//4085\nf 5198//5198 3932//3932 4139//4139\nf 3948//3948 2323//2323 1034//1034\nf 3770//3770 5311//5311 2253//2253\nf 4155//4155 3950//3950 2253//2253\nf 911//911 3541//3541 3583//3583\nf 2276//2276 4207//4207 3887//3887\nf 3952//3952 675//675 2281//2281\nf 3884//3884 1634//1634 3345//3345\nf 6024//6024 683//683 4088//4088\nf 4895//4895 4894//4894 756//756\nf 2103//2103 2277//2277 740//740\nf 4227//4227 3958//3958 4022//4022\nf 3746//3746 3604//3604 934//934\nf 2277//2277 2103//2103 5846//5846\nf 3746//3746 3997//3997 782//782\nf 3997//3997 6027//6027 782//782\nf 4004//4004 4213//4213 4212//4212\nf 2238//2238 3727//3727 5260//5260\nf 1012//1012 973//973 5569//5569\nf 1045//1045 5977//5977 5626//5626\nf 4869//4869 798//798 872//872\nf 798//798 2235//2235 872//872\nf 162//162 4869//4869 872//872\nf 535//535 2003//2003 3933//3933\nf 535//535 3933//3933 4133//4133\nf 732//732 2237//2237 3909//3909\nf 5208//5208 670//670 64//64\nf 670//670 5145//5145 64//64\nf 670//670 2086//2086 5145//5145\nf 2214//2214 5035//5035 932//932\nf 5766//5766 5182//5182 3999//3999\nf 6141//6141 5898//5898 3928//3928\nf 1045//1045 5626//5626 3728//3728\nf 3868//3868 926//926 5766//5766\nf 5749//5749 5253//5253 3833//3833\nf 5145//5145 4826//4826 64//64\nf 64//64 794//794 5208//5208\nf 3834//3834 5941//5941 3935//3935\nf 4664//4664 2282//2282 5253//5253\nf 4826//4826 2002//2002 4149//4149\nf 3965//3965 1607//1607 799//799\nf 4896//4896 4894//4894 856//856\nf 3826//3826 3825//3825 5752//5752\nf 5693//5693 934//934 3778//3778\nf 6027//6027 5531//5531 782//782\nf 671//671 5982//5982 3890//3890\nf 4003//4003 892//892 2363//2363\nf 5983//5983 3891//3891 2568//2568\nf 4099//4099 3899//3899 2278//2278\nf 4146//4146 4823//4823 161//161\nf 3681//3681 2202//2202 3796//3796\nf 1655//1655 725//725 3101//3101\nf 3755//3755 3738//3738 3854//3854\nf 2169//2169 4001//4001 737//737\nf 3733//3733 661//661 3954//3954\nf 4136//4136 701//701 4137//4137\nf 3285//3285 1024//1024 2139//2139\nf 4824//4824 796//796 4208//4208\nf 2060//2060 764//764 3185//3185\nf 3742//3742 3993//3993 1114//1114\nf 3993//3993 972//972 1114//1114\nf 3919//3919 5719//5719 3890//3890\nf 964//964 3634//3634 5755//5755\nf 2233//2233 815//815 4037//4037\nf 1673//1673 661//661 3921//3921\nf 5449//5449 3865//3865 3595//3595\nf 3706//3706 2568//2568 3891//3891\nf 5166//5166 2362//2362 2173//2173\nf 5216//5216 3785//3785 3981//3981\nf 2292//2292 2541//2541 796//796\nf 5765//5765 3783//3783 3631//3631\nf 3993//3993 5279//5279 972//972\nf 3101//3101 4823//4823 1655//1655\nf 816//816 5111//5111 2291//2291\nf 3735//3735 2127//2127 2091//2091\nf 4264//4264 2063//2063 766//766\nf 5608//5608 3735//3735 2288//2288\nf 2269//2269 771//771 895//895\nf 3924//3924 5678//5678 2182//2182\nf 1531//1531 2178//2178 3711//3711\nf 5341//5341 3738//3738 737//737\nf 4001//4001 5341//5341 737//737\nf 3825//3825 928//928 5752//5752\nf 2273//2273 5166//5166 899//899\nf 731//731 665//665 676//676\nf 902//902 3976//3976 2246//2246\nf 2363//2363 4075//4075 4003//4003\nf 2363//2363 4074//4074 4075//4075\nf 2278//2278 4075//4075 4099//4099\nf 5166//5166 2273//2273 2362//2362\nf 5172//5172 2404//2404 4215//4215\nf 5172//5172 5136//5136 2404//2404\nf 4054//4054 2218//2218 3872//3872\nf 2182//2182 849//849 3924//3924\nf 3774//3774 5937//5937 3739//3739\nf 3906//3906 4078//4078 961//961\nf 4145//4145 5108//5108 785//785\nf 1338//1338 2029//2029 2374//2374\nf 3873//3873 2178//2178 5824//5824\nf 844//844 4057//4057 1010//1010\nf 2148//2148 6055//6055 5678//5678\nf 2148//2148 5357//5357 6055//6055\nf 5756//5756 2117//2117 3773//3773\nf 2406//2406 1773//1773 5167//5167\nf 895//895 3853//3853 3874//3874\nf 5243//5243 2269//2269 3855//3855\nf 4028//4028 771//771 6033//6033\nf 2117//2117 3971//3971 3773//3773\nf 2163//2163 697//697 844//844\nf 3790//3790 726//726 5677//5677\nf 4060//4060 4055//4055 862//862\nf 4084//4084 5360//5360 938//938\nf 5360//5360 5407//5407 916//916\nf 3814//3814 4033//4033 938//938\nf 726//726 5414//5414 5677//5677\nf 1010//1010 770//770 2163//2163\nf 2179//2179 662//662 667//667\nf 3598//3598 5494//5494 5350//5350\nf 3769//3769 5919//5919 3618//3618\nf 5369//5369 3506//3506 4015//4015\nf 2179//2179 5638//5638 662//662\nf 5203//5203 797//797 803//803\nf 3782//3782 3830//3830 5522//5522\nf 2335//2335 5578//5578 2179//2179\nf 2287//2287 2392//2392 4060//4060\nf 2102//2102 1156//1156 2129//2129\nf 3830//3830 3782//3782 3903//3903\nf 3936//3936 2352//2352 5195//5195\nf 3974//3974 5807//5807 786//786\nf 5684//5684 4083//4083 4016//4016\nf 3936//3936 4052//4052 2352//2352\nf 3936//3936 2058//2058 4052//4052\nf 4154//4154 4010//4010 2266//2266\nf 6011//6011 873//873 3897//3897\nf 2333//2333 5203//5203 724//724\nf 2057//2057 4011//4011 2058//2058\nf 3917//3917 879//879 875//875\nf 4953//4953 4941//4941 4222//4222\nf 1071//1071 1075//1075 1134//1134\nf 5804//5804 3832//3832 981//981\nf 875//875 3830//3830 3917//3917\nf 3917//3917 3903//3903 4030//4030\nf 5158//5158 744//744 4007//4007\nf 1033//1033 3959//3959 3788//3788\nf 5464//5464 3939//3939 3937//3937\nf 5158//5158 742//742 744//744\nf 5869//5869 3863//3863 1085//1085\nf 2289//2289 664//664 5142//5142\nf 3945//3945 4100//4100 3869//3869\nf 3945//3945 6071//6071 4100//4100\nf 3704//3704 3705//3705 2240//2240\nf 2136//2136 5464//5464 980//980\nf 4199//4199 4089//4089 804//804\nf 594//594 2283//2283 4079//4079\nf 5869//5869 4038//4038 3863//3863\nf 804//804 2050//2050 5110//5110\nf 839//839 5105//5105 3988//3988\nf 4941//4941 4953//4953 742//742\nf 4941//4941 4089//4089 4222//4222\nf 742//742 4953//4953 2219//2219\nf 3668//3668 6016//6016 5871//5871\nf 4000//4000 2196//2196 5792//5792\nf 3668//3668 5625//5625 6016//6016\nf 5994//5994 4071//4071 4000//4000\nf 4071//4071 2196//2196 4000//4000\nf 5322//5322 3641//3641 5871//5871\nf 3988//3988 2196//2196 839//839\nf 3641//3641 3668//3668 5871//5871\nf 5105//5105 839//839 741//741\nf 2068//2068 753//753 893//893\nf 22//22 2249//2249 613//613\nf 2035//2035 4053//4053 893//893\nf 2035//2035 2112//2112 4053//4053\nf 883//883 707//707 5138//5138\nf 2224//2224 2180//2180 792//792\nf 2142//2142 2223//2223 3878//3878\nf 793//793 3970//3970 3811//3811\nf 925//925 924//924 2142//2142\nf 925//925 2068//2068 924//924\nf 925//925 2142//2142 837//837\nf 3920//3920 2224//2224 792//792\nf 2114//2114 4047//4047 3989//3989\nf 2223//2223 777//777 870//870\nf 2228//2228 924//924 3892//3892\nf 3892//3892 941//941 2228//2228\nf 4050//4050 3882//3882 4193//4193\nf 5750//5750 2098//2098 6072//6072\nf 74//74 3966//3966 475//475\nf 3720//3720 3723//3723 5803//5803\nf 848//848 5294//5294 2087//2087\nf 6072//6072 2098//2098 1080//1080\nf 4256//4256 3823//3823 5200//5200\nf 3823//3823 2211//2211 983//983\nf 2056//2056 5204//5204 3886//3886\nf 889//889 3875//3875 5544//5544\nf 3875//3875 869//869 5757//5757\nf 604//604 4147//4147 3197//3197\nf 4125//4125 825//825 2322//2322\nf 909//909 4962//4962 692//692\nf 2294//2294 745//745 2213//2213\nf 2213//2213 859//859 2294//2294\nf 859//859 5200//5200 2294//2294\nf 874//874 673//673 3995//3995\nf 1000//1000 2325//2325 853//853\nf 890//890 3911//3911 2124//2124\nf 1000//1000 853//853 5164//5164\nf 5519//5519 1042//1042 993//993\nf 5519//5519 3801//3801 4031//4031\nf 1455//1455 5109//5109 854//854\nf 1042//1042 890//890 2124//2124\nf 4119//4119 2076//2076 802//802\nf 3964//3964 855//855 2076//2076\nf 2210//2210 2212//2212 5101//5101\nf 814//814 692//692 874//874\nf 5126//5126 854//854 3964//3964\nf 4147//4147 4275//4275 4080//4080\nf 4275//4275 4334//4334 4080//4080\nf 814//814 5164//5164 853//853\nf 2210//2210 706//706 3964//3964\nf 5790//5790 917//917 896//896\nf 5790//5790 5115//5115 5179//5179\nf 776//776 706//706 2210//2210\nf 5544//5544 5894//5894 3651//3651\nf 5544//5544 3792//3792 3731//3731\nf 3894//3894 4276//4276 5196//5196\nf 4934//4934 62//62 3894//3894\nf 62//62 13//13 2155//2155\nf 5640//5640 2186//2186 2941//2941\nf 2322//2322 825//825 776//776\nf 62//62 4276//4276 3894//3894\nf 917//917 5448//5448 3792//3792\nf 4957//4957 4945//4945 3038//3038\nf 2332//2332 2064//2064 2185//2185\nf 2186//2186 2184//2184 3996//3996\nf 738//738 5180//5180 881//881\nf 4946//4946 2185//2185 738//738\nf 4946//4946 704//704 2185//2185\nf 738//738 4194//4194 5113//5113\nf 4194//4194 2064//2064 5175//5175\nf 2064//2064 551//551 5175//5175\nf 4946//4946 4276//4276 704//704\nf 5224//5224 969//969 5345//5345\nf 4127//4127 5188//5188 2237//2237\nf 1953//1953 643//643 605//605\nf 750//750 4163//4163 4341//4341\nf 2253//2253 3950//3950 3876//3876\nf 3765//3765 6052//6052 5968//5968\nf 736//736 5187//5187 1404//1404\nf 5187//5187 3889//3889 1404//1404\nf 5187//5187 5159//5159 682//682\nf 4127//4127 3888//3888 5188//5188\nf 2281//2281 4207//4207 2276//2276\nf 3665//3665 5234//5234 858//858\nf 3807//3807 2135//2135 5188//5188\nf 4127//4127 2237//2237 2323//2323\nf 3898//3898 6136//6136 5177//5177\nf 3943//3943 2162//2162 2407//2407\nf 6024//6024 3868//3868 3857//3857\nf 6024//6024 926//926 3868//3868\nf 732//732 4869//4869 5863//5863\nf 5430//5430 5034//5034 2109//2109\nf 3826//3826 782//782 3825//3825\nf 3730//3730 6015//6015 3986//3986\nf 3826//3826 5551//5551 3604//3604\nf 3861//3861 4032//4032 668//668\nf 5786//5786 5408//5408 2083//2083\nf 4895//4895 3934//3934 900//900\nf 4895//4895 756//756 3934//3934\nf 162//162 535//535 4133//4133\nf 3969//3969 829//829 618//618\nf 3883//3883 4045//4045 4158//4158\nf 3883//3883 705//705 4045//4045\nf 2013//2013 650//650 774//774\nf 2402//2402 2188//2188 3422//3422\nf 2047//2047 4463//4463 4164//4164\nf 717//717 2349//2349 1228//1228\nf 4139//4139 3932//3932 2883//2883\nf 2349//2349 570//570 2161//2161\nf 4288//4288 4198//4198 2316//2316\nf 926//926 4133//4133 5182//5182\nf 5766//5766 5666//5666 3868//3868\nf 829//829 3674//3674 2051//2051\nf 5035//5035 4141//4141 4664//4664\nf 5035//5035 2215//2215 4141//4141\nf 2387//2387 1607//1607 668//668\nf 86//86 670//670 4140//4140\nf 3747//3747 5712//5712 867//867\nf 4141//4141 5846//5846 2282//2282\nf 4032//4032 4896//4896 2277//2277\nf 5446//5446 5712//5712 585//585\nf 665//665 2246//2246 4099//4099\nf 940//940 1055//1055 2106//2106\nf 3865//3865 5321//5321 1233//1233\nf 1655//1655 4146//4146 3014//3014\nf 5935//5935 1505//1505 5587//5587\nf 5983//5983 3786//3786 3809//3809\nf 3786//3786 3617//3617 3809//3809\nf 3681//3681 3796//3796 3682//3682\nf 3185//3185 4136//4136 763//763\nf 3789//3789 3702//3702 1641//1641\nf 4136//4136 764//764 701//701\nf 3105//3105 701//701 5170//5170\nf 4137//4137 4206//4206 791//791\nf 3101//3101 3954//3954 4037//4037\nf 5213//5213 4104//4104 902//902\nf 5213//5213 665//665 731//731\nf 4036//4036 2092//2092 4037//4037\nf 5216//5216 5193//5193 2380//2380\nf 4046//4046 2288//2288 5146//5146\nf 3810//3810 5511//5511 6104//6104\nf 2092//2092 4036//4036 3786//3786\nf 5157//5157 1092//1092 3089//3089\nf 4206//4206 4092//4092 4270//4270\nf 4206//4206 4137//4137 3105//3105\nf 3185//3185 2930//2930 2060//2060\nf 5185//5185 5218//5218 5149//5149\nf 5218//5218 4213//4213 3934//3934\nf 4032//4032 3861//3861 4896//4896\nf 5624//5624 3872//3872 770//770\nf 808//808 602//602 4057//4057\nf 3982//3982 2262//2262 2028//2028\nf 1010//1010 807//807 5624//5624\nf 3908//3908 961//961 4078//4078\nf 2168//2168 3908//3908 3912//3912\nf 1773//1773 2816//2816 4167//4167\nf 5170//5170 1092//1092 3105//3105\nf 4072//4072 5111//5111 816//816\nf 4172//4172 2052//2052 4368//4368\nf 2168//2168 2174//2174 3908//3908\nf 5148//5148 693//693 903//903\nf 864//864 633//633 4066//4066\nf 2182//2182 3907//3907 849//849\nf 4415//4415 910//910 1967//1967\nf 2406//2406 5108//5108 1773//1773\nf 2406//2406 2263//2263 4132//4132\nf 4057//4057 602//602 807//807\nf 2021//2021 4059//4059 727//727\nf 939//939 901//901 2163//2163\nf 4059//4059 4066//4066 727//727\nf 4028//4028 826//826 5756//5756\nf 2368//2368 4258//4258 4247//4247\nf 4057//4057 2021//2021 808//808\nf 4057//4057 807//807 1010//1010\nf 5624//5624 4054//4054 3872//3872\nf 4060//4060 667//667 662//662\nf 4281//4281 4259//4259 4178//4178\nf 2404//2404 2221//2221 4215//4215\nf 4055//4055 4144//4144 5217//5217\nf 4144//4144 2221//2221 5217//5217\nf 663//663 669//669 2299//2299\nf 2221//2221 2404//2404 2194//2194\nf 2299//2299 669//669 5104//5104\nf 5359//5359 5578//5578 828//828\nf 824//824 5359//5359 820//820\nf 5360//5360 824//824 5407//5407\nf 4016//4016 787//787 2335//2335\nf 6009//6009 1073//1073 3773//3773\nf 5624//5624 2344//2344 4054//4054\nf 2165//2165 2335//2335 755//755\nf 2179//2179 755//755 2335//2335\nf 5578//5578 787//787 828//828\nf 5677//5677 5414//5414 5604//5604\nf 5478//5478 3929//3929 6116//6116\nf 3831//3831 820//820 828//828\nf 3782//3782 5522//5522 5778//5778\nf 873//873 4030//4030 2128//2128\nf 873//873 6011//6011 724//724\nf 5194//5194 2341//2341 5212//5212\nf 3974//3974 786//786 5703//5703\nf 724//724 6011//6011 2333//2333\nf 4048//4048 4123//4123 2333//2333\nf 2057//2057 522//522 599//599\nf 3870//3870 6071//6071 929//929\nf 3972//3972 6018//6018 3897//3897\nf 879//879 5143//5143 810//810\nf 4953//4953 614//614 610//610\nf 614//614 5096//5096 610//610\nf 3972//3972 2150//2150 6018//6018\nf 614//614 5215//5215 5096//5096\nf 879//879 3917//3917 2266//2266\nf 4079//4079 614//614 4953//4953\nf 811//811 6071//6071 3870//3870\nf 594//594 4079//4079 4222//4222\nf 1048//1048 3805//3805 5529//5529\nf 5143//5143 2266//2266 4010//4010\nf 742//742 728//728 744//744\nf 2289//2289 5142//5142 4063//4063\nf 811//811 3870//3870 810//810\nf 811//811 4100//4100 6071//6071\nf 4100//4100 811//811 5173//5173\nf 5582//5582 3863//3863 3037//3037\nf 2196//2196 3988//3988 5792//5792\nf 4071//4071 5994//5994 6047//6047\nf 811//811 810//810 2283//2283\nf 4063//4063 746//746 4007//4007\nf 4063//4063 4007//4007 744//744\nf 943//943 5105//5105 741//741\nf 2144//2144 3869//3869 4199//4199\nf 5554//5554 6002//6002 1046//1046\nf 613//613 1998//1998 22//22\nf 3668//3668 6070//6070 5625//5625\nf 946//946 2125//2125 943//943\nf 5570//5570 5902//5902 5673//5673\nf 943//943 2249//2249 22//22\nf 5902//5902 3800//3800 920//920\nf 946//946 22//22 713//713\nf 3915//3915 2068//2068 925//925\nf 4114//4114 768//768 4906//4906\nf 3970//3970 2248//2248 4093//4093\nf 2035//2035 893//893 3838//3838\nf 2125//2125 946//946 3838//3838\nf 777//777 2228//2228 941//941\nf 837//837 5480//5480 4006//4006\nf 837//837 3878//3878 5480//5480\nf 4053//4053 3892//3892 924//924\nf 4053//4053 924//924 2068//2068\nf 806//806 4114//4114 4906//4906\nf 3920//3920 2125//2125 753//753\nf 749//749 648//648 4081//4081\nf 475//475 777//777 941//941\nf 654//654 5190//5190 723//723\nf 2031//2031 2378//2378 555//555\nf 2031//2031 4148//4148 838//838\nf 612//612 2261//2261 5469//5469\nf 3979//3979 4062//4062 745//745\nf 603//603 2360//2360 4062//4062\nf 3989//3989 3913//3913 923//923\nf 3823//3823 4256//4256 2211//2211\nf 1002//1002 3722//3722 898//898\nf 4329//4329 4907//4907 2019//2019\nf 3913//3913 2082//2082 923//923\nf 4064//4064 2254//2254 4090//4090\nf 877//877 4907//4907 587//587\nf 4377//4377 4233//4233 1594//1594\nf 4272//4272 673//673 3106//3106\nf 4050//4050 4047//4047 2254//2254\nf 2211//2211 5160//5160 696//696\nf 983//983 4907//4907 877//877\nf 5201//5201 4031//4031 1000//1000\nf 5126//5126 6//6 634//634\nf 4446//4446 4314//4314 710//710\nf 5204//5204 825//825 4125//4125\nf 853//853 909//909 814//814\nf 604//604 3197//3197 3106//3106\nf 4272//4272 1455//1455 673//673\nf 2101//2101 2274//2274 3949//3949\nf 603//603 4954//4954 2279//2279\nf 5204//5204 2056//2056 825//825\nf 603//603 5038//5038 1468//1468\nf 4087//4087 841//841 812//812\nf 1355//1355 4272//4272 3197//3197\nf 802//802 556//556 2308//2308\nf 5181//5181 2229//2229 2171//2171\nf 4119//4119 2212//2212 2076//2076\nf 855//855 556//556 802//802\nf 855//855 802//802 2076//2076\nf 854//854 855//855 3964//3964\nf 2212//2212 2210//2210 2076//2076\nf 2441//2441 2200//2200 2497//2497\nf 3258//3258 757//757 611//611\nf 5698//5698 5790//5790 896//896\nf 2941//2941 5698//5698 5640//5640\nf 2184//2184 5640//5640 2322//2322\nf 5640//5640 5757//5757 2322//2322\nf 5640//5640 5698//5698 5757//5757\nf 3792//3792 6143//6143 3731//3731\nf 4276//4276 4946//4946 4948//4948\nf 2185//2185 704//704 2332//2332\nf 2200//2200 5168//5168 2206//2206\nf 5168//5168 2064//2064 2332//2332\nf 3851//3851 790//790 4009//4009\nf 6099//6099 4945//4945 881//881\nf 738//738 5113//5113 5180//5180\nf 5113//5113 5147//5147 5180//5180\nf 881//881 4945//4945 4948//4948\nf 3962//3962 546//546 4085//4085\nf 2276//2276 3887//3887 886//886\nf 5489//5489 3765//3765 5456//5456\nf 4195//4195 4067//4067 3842//3842\nf 5147//5147 5113//5113 4195//4195\nf 3852//3852 861//861 5177//5177\nf 5219//5219 5147//5147 3852//3852\nf 5147//5147 3842//3842 3852//3852\nf 3842//3842 861//861 3852//3852\nf 4085//4085 605//605 736//736\nf 3749//3749 6141//6141 5265//5265\nf 4088//4088 4133//4133 926//926\nf 732//732 5863//5863 2237//2237\nf 6024//6024 4088//4088 926//926\nf 4020//4020 4327//4327 751//751\nf 4020//4020 682//682 675//675\nf 3166//3166 5177//5177 861//861\nf 2945//2945 5821//5821 5370//5370\nf 5107//5107 3950//3950 4155//4155\nf 3884//3884 2232//2232 1634//1634\nf 1634//1634 3883//3883 4158//4158\nf 2971//2971 3969//3969 618//618\nf 3958//3958 263//263 1987//1987\nf 2305//2305 756//756 3861//3861\nf 2241//2241 5218//5218 3934//3934\nf 3958//3958 1987//1987 4131//4131\nf 756//756 4894//4894 3861//3861\nf 3934//3934 756//756 2241//2241\nf 5185//5185 4012//4012 4212//4212\nf 3825//3825 782//782 5531//5531\nf 6027//6027 2309//2309 5531//5531\nf 3755//3755 3825//3825 5531//5531\nf 3997//3997 2310//2310 6027//6027\nf 3969//3969 5031//5031 829//829\nf 4460//4460 2726//2726 4303//4303\nf 4002//4002 5941//5941 5308//5308\nf 4826//4826 5145//5145 3821//3821\nf 4159//4159 4383//4383 513//513\nf 2316//2316 947//947 2187//2187\nf 3933//3933 3999//3999 5182//5182\nf 2945//2945 5265//5265 3928//3928\nf 717//717 831//831 2847//2847\nf 4133//4133 3933//3933 5182//5182\nf 3343//3343 2883//2883 2187//2187\nf 4383//4383 566//566 4103//4103\nf 5137//5137 4129//4129 619//619\nf 5253//5253 5749//5749 4664//4664\nf 829//829 2244//2244 4149//4149\nf 2244//2244 829//829 2051//2051\nf 2002//2002 2407//2407 2971//2971\nf 3868//3868 3585//3585 3857//3857\nf 2971//2971 774//774 3969//3969\nf 2214//2214 2215//2215 5035//5035\nf 2002//2002 618//618 4149//4149\nf 2315//2315 4227//4227 4022//4022\nf 830//830 1474//1474 2208//2208\nf 2215//2215 1479//1479 799//799\nf 2730//2730 629//629 532//532\nf 3747//3747 6015//6015 3730//3730\nf 3965//3965 4131//4131 1607//1607\nf 649//649 5149//5149 4229//4229\nf 4212//4212 4213//4213 5218//5218\nf 4012//4012 4106//4106 4004//4004\nf 6027//6027 2310//2310 900//900\nf 4001//4001 2169//2169 899//899\nf 4001//4001 5949//5949 5341//5341\nf 3997//3997 2242//2242 2310//2310\nf 5185//5185 3967//3967 2055//2055\nf 891//891 711//711 5220//5220\nf 2278//2278 3899//3899 671//671\nf 4074//4074 676//676 665//665\nf 891//891 699//699 711//711\nf 3977//3977 4823//4823 815//815\nf 3977//3977 161//161 4823//4823\nf 6023//6023 5949//5949 4001//4001\nf 2302//2302 5220//5220 796//796\nf 2278//2278 666//666 904//904\nf 731//731 2302//2302 4824//4824\nf 731//731 676//676 2302//2302\nf 2246//2246 5213//5213 902//902\nf 3105//3105 1092//1092 4092//4092\nf 2374//2374 2029//2029 2375//2375\nf 2127//2127 3785//3785 3866//3866\nf 3785//3785 5216//5216 3866//3866\nf 763//763 765//765 3185//3185\nf 4136//4136 5111//5111 4072//4072\nf 5220//5220 2302//2302 891//891\nf 2292//2292 4098//4098 2541//2541\nf 764//764 571//571 701//701\nf 4824//4824 161//161 3977//3977\nf 2543//2543 571//571 764//764\nf 2292//2292 5220//5220 819//819\nf 4104//4104 5213//5213 3977//3977\nf 791//791 766//766 2291//2291\nf 4145//4145 785//785 4078//4078\nf 1129//1129 4092//4092 5157//5157\nf 4076//4076 2063//2063 4130//4130\nf 2380//2380 816//816 2091//2091\nf 4092//4092 1092//1092 5157//5157\nf 4385//4385 2662//2662 639//639\nf 671//671 5381//5381 5982//5982\nf 5949//5949 666//666 3890//3890\nf 899//899 2169//2169 4106//4106\nf 2169//2169 4004//4004 4106//4106\nf 5185//5185 5149//5149 835//835\nf 2021//2021 845//845 808//808\nf 2260//2260 4247//4247 4210//4210\nf 3872//3872 2117//2117 770//770\nf 2043//2043 5167//5167 4167//4167\nf 766//766 2063//2063 5197//5197\nf 4264//4264 4206//4206 4270//4270\nf 5678//5678 6055//6055 3813//3813\nf 4186//4186 4046//4046 2291//2291\nf 4237//4237 3953//3953 4278//4278\nf 771//771 2269//2269 5243//5243\nf 801//801 4109//4109 4145//4145\nf 4109//4109 4278//4278 5108//5108\nf 4278//4278 1773//1773 5108//5108\nf 4130//4130 2063//2063 4264//4264\nf 2959//2959 863//863 2379//2379\nf 2029//2029 2432//2432 4237//4237\nf 3906//3906 4056//4056 4145//4145\nf 2029//2029 4237//4237 4109//4109\nf 4077//4077 2168//2168 3912//3912\nf 785//785 5108//5108 2406//2406\nf 1010//1010 5624//5624 770//770\nf 3855//3855 2164//2164 5243//5243\nf 862//862 655//655 663//663\nf 5136//5136 4258//4258 2065//2065\nf 2105//2105 4039//4039 4258//4258\nf 903//903 693//693 2028//2028\nf 4055//4055 3871//3871 4144//4144\nf 807//807 602//602 5172//5172\nf 4210//4210 5136//5136 5172//5172\nf 2404//2404 2065//2065 2194//2194\nf 845//845 2028//2028 2262//2262\nf 5191//5191 655//655 2194//2194\nf 4055//4055 4060//4060 2392//2392\nf 2404//2404 5136//5136 2065//2065\nf 4281//4281 4178//4178 2368//2368\nf 5104//5104 755//755 667//667\nf 667//667 2299//2299 5104//5104\nf 787//787 3929//3929 828//828\nf 828//828 820//820 5359//5359\nf 2299//2299 4060//4060 862//862\nf 5264//5264 3603//3603 6161//6161\nf 2405//2405 495//495 4181//4181\nf 3780//3780 5684//5684 5807//5807\nf 873//873 2128//2128 3897//3897\nf 2352//2352 2333//2333 4123//4123\nf 851//851 4202//4202 5194//5194\nf 803//803 797//797 2351//2351\nf 4986//4986 803//803 2351//2351\nf 2122//2122 530//530 4042//4042\nf 4263//4263 5096//5096 5215//5215\nf 4123//4123 5195//5195 2352//2352\nf 2150//2150 2220//2220 3877//3877\nf 797//797 4052//4052 2513//2513\nf 2341//2341 2303//2303 5195//5195\nf 542//542 4331//4331 4121//4121\nf 3903//3903 2128//2128 4030//4030\nf 4079//4079 842//842 614//614\nf 6071//6071 5804//5804 929//929\nf 2283//2283 594//594 811//811\nf 929//929 759//759 5364//5364\nf 2831//2831 60//60 19//19\nf 811//811 594//594 5173//5173\nf 5202//5202 4199//4199 3869//3869\nf 5202//5202 4089//4089 4199//4199\nf 5582//5582 3704//3704 3753//3753\nf 3704//3704 5291//5291 3753//3753\nf 5173//5173 594//594 4222//4222\nf 5994//5994 6003//6003 5554//5554\nf 4089//4089 5173//5173 4222//4222\nf 542//542 586//586 1765//1765\nf 4063//4063 5142//5142 4023//4023\nf 4618//4618 4162//4162 4220//4220\nf 1705//1705 4369//4369 300//300\nf 2249//2249 943//943 741//741\nf 713//713 1998//1998 5199//5199\nf 946//946 943//943 22//22\nf 2452//2452 4618//4618 5095//5095\nf 707//707 4093//4093 2248//2248\nf 707//707 713//713 5199//5199\nf 2452//2452 715//715 4316//4316\nf 2248//2248 5138//5138 707//707\nf 60//60 4369//4369 1705//1705\nf 60//60 567//567 4369//4369\nf 4879//4879 5094//5094 2290//2290\nf 3811//3811 2377//2377 4879//4879\nf 2377//2377 4906//4906 544//544\nf 2035//2035 3838//3838 883//883\nf 3838//3838 946//946 883//883\nf 3811//3811 4879//4879 793//793\nf 3838//3838 893//893 2125//2125\nf 4226//4226 4336//4336 5041//5041\nf 777//777 475//475 3966//3966\nf 4019//4019 2313//2313 612//612\nf 4019//4019 942//942 2313//2313\nf 1507//1507 749//749 592//592\nf 475//475 2227//2227 838//838\nf 2228//2228 2142//2142 924//924\nf 942//942 4909//4909 2199//2199\nf 777//777 2223//2223 2228//2228\nf 4842//4842 4108//4108 3968//3968\nf 832//832 870//870 4019//4019\nf 838//838 4520//4520 4082//4082\nf 3966//3966 942//942 870//870\nf 3968//3968 1507//1507 4842//4842\nf 654//654 73//73 5190//5190\nf 2272//2272 2199//2199 4909//4909\nf 3878//3878 2223//2223 832//832\nf 3878//3878 832//832 5978//5978\nf 2087//2087 5294//5294 2209//2209\nf 3990//3990 5978//5978 5469//5469\nf 3990//3990 2100//2100 5803//5803\nf 3725//3725 3720//3720 5803//5803\nf 5190//5190 73//73 696//696\nf 723//723 4081//4081 654//654\nf 723//723 592//592 4081//4081\nf 5190//5190 5160//5160 600//600\nf 859//859 2115//2115 5200//5200\nf 4101//4101 723//723 600//600\nf 600//600 3901//3901 4101//4101\nf 4157//4157 5037//5037 587//587\nf 2360//2360 4064//4064 4090//4090\nf 3989//3989 5840//5840 3913//3913\nf 3989//3989 4193//4193 5840//5840\nf 4256//4256 5200//5200 2115//2115\nf 73//73 2373//2373 2019//2019\nf 503//503 4393//4393 539//539\nf 4021//4021 4344//4344 4160//4160\nf 983//983 877//877 3823//3823\nf 4907//4907 983//983 4111//4111\nf 496//496 576//576 563//563\nf 580//580 4373//4373 2987//2987\nf 2101//2101 3949//3949 959//959\nf 4275//4275 539//539 4334//4334\nf 3197//3197 4080//4080 4277//4277\nf 6//6 4180//4180 634//634\nf 603//603 2279//2279 5038//5038\nf 5519//5519 890//890 1042//1042\nf 5164//5164 2359//2359 5141//5141\nf 4147//4147 604//604 1468//1468\nf 5141//5141 4180//4180 2094//2094\nf 5109//5109 556//556 855//855\nf 5141//5141 2094//2094 3721//3721\nf 2332//2332 704//704 2155//2155\nf 812//812 841//841 3985//3985\nf 1355//1355 2334//2334 5109//5109\nf 2308//2308 5181//5181 802//802\nf 854//854 5109//5109 855//855\nf 1455//1455 1355//1355 5109//5109\nf 841//841 720//720 4269//4269\nf 2308//2308 556//556 812//812\nf 5181//5181 4119//4119 802//802\nf 704//704 62//62 2155//2155\nf 2171//2171 2204//2204 789//789\nf 4948//4948 4945//4945 4957//4957\nf 4251//4251 2212//2212 703//703\nf 2307//2307 4934//4934 3996//3996\nf 3038//3038 915//915 4957//4957\nf 299//299 2954//2954 1583//1583\nf 703//703 2212//2212 4119//4119\nf 703//703 4119//4119 4118//4118\nf 757//757 2497//2497 611//611\nf 2171//2171 2371//2371 2204//2204\nf 1583//1583 2008//2008 4489//4489\nf 2040//2040 5011//5011 4489//4489\nf 757//757 2441//2441 2497//2497\nf 5168//5168 4268//4268 551//551\nf 747//747 860//860 915//915\nf 917//917 3792//3792 896//896\nf 2155//2155 2206//2206 2332//2332\nf 2200//2200 2441//2441 4376//4376\nf 3889//3889 5187//5187 682//682\nf 3963//3963 739//739 730//730\nf 865//865 751//751 739//739\nf 3889//3889 4020//4020 865//865\nf 551//551 4268//4268 547//547\nf 4194//4194 738//738 2185//2185\nf 865//865 3963//3963 885//885\nf 885//885 3889//3889 865//865\nf 752//752 4376//4376 647//647\nf 3841//3841 3840//3840 3770//3770\nf 751//751 3840//3840 739//739\nf 4376//4376 646//646 647//647\nf 739//739 3963//3963 865//865\nf 5174//5174 546//546 3962//3962\nf 4987//4987 4067//4067 601//601\nf 4163//4163 483//483 4341//4341\nf 751//751 4327//4327 1472//1472\nf 1472//1472 1407//1407 3975//3975\nf 3269//3269 944//944 5097//5097\nf 3269//3269 3930//3930 944//944\nf 4288//4288 2316//2316 3932//3932\nf 2316//2316 2187//2187 2883//2883\nf 3343//3343 798//798 2883//2883\nf 3269//3269 1407//1407 4117//4117\nf 4088//4088 683//683 5863//5863\nf 761//761 3884//3884 3343//3343\nf 2297//2297 5107//5107 3923//3923\nf 1634//1634 4158//4158 5009//5009\nf 4051//4051 827//827 2361//2361\nf 4051//4051 679//679 827//827\nf 2407//2407 2162//2162 2971//2971\nf 3883//3883 2231//2231 705//705\nf 5198//5198 4139//4139 732//732\nf 3930//3930 3807//3807 944//944\nf 761//761 2232//2232 3884//3884\nf 773//773 2788//2788 2789//2789\nf 774//774 650//650 2154//2154\nf 3948//3948 6141//6141 2297//2297\nf 2788//2788 4388//4388 508//508\nf 3948//3948 2297//2297 4127//4127\nf 2232//2232 2361//2361 3883//3883\nf 2361//2361 2232//2232 4051//4051\nf 3858//3858 5198//5198 2135//2135\nf 649//649 4227//4227 2315//2315\nf 756//756 2305//2305 2241//2241\nf 2305//2305 4229//4229 2241//2241\nf 2003//2003 2407//2407 2002//2002\nf 700//700 2231//2231 2354//2354\nf 5009//5009 3345//3345 1634//1634\nf 3969//3969 2154//2154 5031//5031\nf 5009//5009 3943//3943 3345//3345\nf 370//370 2918//2918 2667//2667\nf 5208//5208 4140//4140 670//670\nf 5208//5208 4129//4129 4140//4140\nf 5208//5208 4776//4776 4129//4129\nf 2161//2161 2189//2189 1228//1228\nf 5609//5609 3857//3857 3585//3585\nf 5253//5253 5747//5747 3730//3730\nf 5253//5253 3730//3730 3833//3833\nf 4129//4129 4027//4027 619//619\nf 4129//4129 4776//4776 4027//4027\nf 831//831 1228//1228 2208//2208\nf 4131//4131 4097//4097 3958//3958\nf 831//831 2208//2208 1474//1474\nf 5137//5137 2214//2214 4140//4140\nf 3826//3826 3604//3604 3746//3746\nf 2315//2315 4188//4188 649//649\nf 830//830 4200//4200 1474//1474\nf 619//619 4027//4027 1474//1474\nf 263//263 4227//4227 4229//4229\nf 4022//4022 4128//4128 2315//2315\nf 629//629 4305//4305 532//532\nf 737//737 2309//2309 5540//5540\nf 900//900 4213//4213 5540//5540\nf 4166//4166 1983//1983 1869//1869\nf 4213//4213 900//900 3934//3934\nf 699//699 891//891 2363//2363\nf 1540//1540 699//699 892//892\nf 5185//5185 835//835 3967//3967\nf 5381//5381 3976//3976 3706//3706\nf 666//666 6023//6023 904//904\nf 5220//5220 711//711 819//819\nf 2302//2302 676//676 891//891\nf 676//676 4074//4074 891//891\nf 4075//4075 2173//2173 4003//4003\nf 765//765 763//763 5193//5193\nf 5266//5266 1641//1641 897//897\nf 3014//3014 725//725 1655//1655\nf 3014//3014 3981//3981 725//725\nf 4293//4293 4235//4235 4098//4098\nf 725//725 3954//3954 3101//3101\nf 571//571 4161//4161 5170//5170\nf 711//711 494//494 819//819\nf 4146//4146 765//765 3014//3014\nf 2060//2060 4208//4208 2541//2541\nf 815//815 4104//4104 3977//3977\nf 961//961 3908//3908 2174//2174\nf 1982//1982 2374//2374 4270//4270\nf 5491//5491 5235//5235 3669//3669\nf 3813//3813 4186//4186 5197//5197\nf 5357//5357 2148//2148 3600//3600\nf 779//779 1539//1539 4382//4382\nf 702//702 779//779 4098//4098\nf 5193//5193 5216//5216 3014//3014\nf 5357//5357 3774//3774 914//914\nf 6023//6023 4001//4001 899//899\nf 5128//5128 1540//1540 4068//4068\nf 681//681 1983//1983 4014//4014\nf 1067//1067 1539//1539 494//494\nf 5127//5127 4014//4014 1983//1983\nf 1539//1539 819//819 494//494\nf 779//779 5100//5100 4293//4293\nf 635//635 4236//4236 5100//5100\nf 3931//3931 3089//3089 1991//1991\nf 480//480 577//577 910//910\nf 2406//2406 5167//5167 2263//2263\nf 3799//3799 4392//4392 4300//4300\nf 3978//3978 4239//4239 590//590\nf 5167//5167 2043//2043 590//590\nf 4247//4247 5136//5136 4210//4210\nf 939//939 2163//2163 770//770\nf 2260//2260 4210//4210 808//808\nf 2374//2374 1982//1982 1338//1338\nf 4186//4186 766//766 5197//5197\nf 4411//4411 2043//2043 4167//4167\nf 4056//4056 3906//3906 3907//3907\nf 3828//3828 4066//4066 4059//4059\nf 633//633 5148//5148 903//903\nf 2368//2368 574//574 2105//2105\nf 633//633 2379//2379 5148//5148\nf 864//864 2271//2271 2959//2959\nf 863//863 4132//4132 2263//2263\nf 602//602 808//808 4210//4210\nf 655//655 2221//2221 2194//2194\nf 655//655 5217//5217 2221//2221\nf 663//663 655//655 5191//5191\nf 2194//2194 2065//2065 2324//2324\nf 2221//2221 4144//4144 4215//4215\nf 2027//2027 851//851 2165//2165\nf 2065//2065 4209//4209 2324//2324\nf 2299//2299 667//667 4060//4060\nf 4055//4055 2392//2392 3871//3871\nf 2004//2004 2405//2405 617//617\nf 2004//2004 669//669 663//663\nf 2004//2004 617//617 669//669\nf 786//786 868//868 4049//4049\nf 5212//5212 4049//4049 5194//5194\nf 842//842 5143//5143 4010//4010\nf 4202//4202 851//851 677//677\nf 2352//2352 5203//5203 2333//2333\nf 842//842 2283//2283 5143//5143\nf 810//810 5592//5592 879//879\nf 2513//2513 4242//4242 557//557\nf 2267//2267 2268//2268 4042//4042\nf 2321//2321 3144//3144 636//636\nf 810//810 3870//3870 5592//5592\nf 4242//4242 2321//2321 4189//4189\nf 557//557 5183//5183 2351//2351\nf 4331//4331 4729//4729 4196//4196\nf 610//610 4121//4121 2219//2219\nf 610//610 542//542 4121//4121\nf 5212//5212 5195//5195 4123//4123\nf 5103//5103 4154//4154 4030//4030\nf 2046//2046 4154//4154 4986//4986\nf 4986//4986 4263//4263 2046//2046\nf 4010//4010 4154//4154 2046//2046\nf 4326//4326 19//19 1705//1705\nf 4189//4189 557//557 4242//4242\nf 5943//5943 5529//5529 5570//5570\nf 19//19 583//583 2831//2831\nf 713//713 22//22 1998//1998\nf 4875//4875 5095//5095 4618//4618\nf 613//613 1999//1999 616//616\nf 713//713 883//883 946//946\nf 4618//4618 2414//2414 4162//4162\nf 4093//4093 5095//5095 4875//4875\nf 2452//2452 2414//2414 4618//4618\nf 4289//4289 115//115 2414//2414\nf 613//613 1974//1974 1998//1998\nf 4879//4879 2290//2290 4017//4017\nf 1554//1554 4605//4605 5112//5112\nf 2423//2423 533//533 768//768\nf 4114//4114 4353//4353 2423//2423\nf 2112//2112 2035//2035 5138//5138\nf 2378//2378 2031//2031 4082//4082\nf 4518//4518 4548//4548 4838//4838\nf 2248//2248 793//793 5138//5138\nf 2112//2112 3892//3892 4053//4053\nf 754//754 1554//1554 5112//5112\nf 951//951 2290//2290 2227//2227\nf 1554//1554 1325//1325 4605//4605\nf 3966//3966 870//870 777//777\nf 2223//2223 2142//2142 2228//2228\nf 2313//2313 3968//3968 612//612\nf 838//838 2227//2227 4520//4520\nf 2089//2089 923//923 2082//2082\nf 2114//2114 3989//3989 923//923\nf 1507//1507 2030//2030 749//749\nf 3901//3901 2261//2261 4108//4108\nf 4111//4111 983//983 696//696\nf 2261//2261 2100//2100 3990//3990\nf 4230//4230 648//648 4361//4361\nf 5469//5469 2261//2261 3990//3990\nf 696//696 73//73 4111//4111\nf 710//710 778//778 541//541\nf 4446//4446 348//348 4314//4314\nf 3956//3956 2261//2261 3901//3901\nf 4064//4064 2325//2325 2254//2254\nf 781//781 4840//4840 5037//5037\nf 4330//4330 539//539 4275//4275\nf 4260//4260 4329//4329 4205//4205\nf 4377//4377 2370//2370 4343//4343\nf 4277//4277 2334//2334 1355//1355\nf 4277//4277 4273//4273 4087//4087\nf 5162//5162 4233//4233 4418//4418\nf 2334//2334 4277//4277 4087//4087\nf 556//556 5109//5109 2334//2334\nf 4266//4266 587//587 5037//5037\nf 2295//2295 4266//4266 4877//4877\nf 4344//4344 2987//2987 4687//4687\nf 4269//4269 550//550 3985//3985\nf 2279//2279 2205//2205 4985//4985\nf 1468//1468 5038//5038 4147//4147\nf 4333//4333 539//539 4393//4393\nf 2370//2370 520//520 4343//4343\nf 4231//4231 4338//4338 5005//5005\nf 1377//1377 345//345 563//563\nf 692//692 604//604 3106//3106\nf 909//909 4064//4064 2360//2360\nf 4373//4373 4389//4389 2987//2987\nf 4231//4231 4233//4233 5162//5162\nf 841//841 4087//4087 1529//1529\nf 841//841 4269//4269 3985//3985\nf 1471//1471 4375//4375 4306//4306\nf 2371//2371 5042//5042 4243//4243\nf 5042//5042 2371//2371 550//550\nf 550//550 2229//2229 3985//3985\nf 3258//3258 4118//4118 789//789\nf 299//299 4183//4183 4243//4243\nf 299//299 4243//4243 5042//5042\nf 2177//2177 747//747 915//915\nf 5168//5168 2332//2332 2206//2206\nf 13//13 2307//2307 979//979\nf 2497//2497 2200//2200 2206//2206\nf 4195//4195 5113//5113 4194//4194\nf 6099//6099 881//881 5180//5180\nf 4243//4243 4183//4183 1456//1456\nf 5219//5219 3851//3851 5180//5180\nf 886//886 3804//3804 1348//1348\nf 675//675 3952//3952 4327//4327\nf 1472//1472 3975//3975 3840//3840\nf 4288//4288 3932//3932 3858//3858\nf 675//675 4327//4327 4020//4020\nf 886//886 1348//1348 3930//3930\nf 546//546 5174//5174 551//551\nf 885//885 4987//4987 1404//1404\nf 4085//4085 546//546 1953//1953\nf 885//885 3963//3963 4987//4987\nf 3841//3841 3770//3770 3166//3166\nf 3851//3851 6099//6099 5180//5180\nf 546//546 750//750 1953//1953\nf 682//682 4020//4020 3889//3889\nf 1472//1472 4327//4327 1407//1407\nf 591//591 2070//2070 3960//3960\nf 591//591 3960//3960 3887//3887\nf 682//682 5159//5159 593//593\nf 2187//2187 761//761 3343//3343\nf 3923//3923 3888//3888 2297//2297\nf 3923//3923 944//944 3888//3888\nf 2187//2187 2023//2023 761//761\nf 4117//4117 3930//3930 3269//3269\nf 2231//2231 700//700 705//705\nf 537//537 4174//4174 827//827\nf 2235//2235 795//795 872//872\nf 537//537 4295//4295 4174//4174\nf 4388//4388 454//454 508//508\nf 1892//1892 758//758 2780//2780\nf 774//774 2154//2154 3969//3969\nf 795//795 2003//2003 535//535\nf 795//795 2407//2407 2003//2003\nf 3883//3883 1634//1634 2232//2232\nf 835//835 5149//5149 649//649\nf 2103//2103 585//585 5747//5747\nf 799//799 1607//1607 2387//2387\nf 1987//1987 263//263 668//668\nf 5185//5185 2055//2055 4012//4012\nf 2055//2055 4065//4065 4012//4012\nf 4158//4158 4045//4045 2402//2402\nf 4045//4045 2188//2188 2402//2402\nf 3884//3884 3345//3345 3343//3343\nf 4869//4869 4139//4139 798//798\nf 795//795 535//535 872//872\nf 1831//1831 370//370 4429//4429\nf 2208//2208 5178//5178 830//830\nf 2051//2051 534//534 717//717\nf 4776//4776 2244//2244 2847//2847\nf 4131//4131 1987//1987 1607//1607\nf 566//566 3983//3983 509//509\nf 2189//2189 2226//2226 5178//5178\nf 2971//2971 2162//2162 774//774\nf 4356//4356 2612//2612 584//584\nf 835//835 649//649 4188//4188\nf 638//638 5140//5140 4097//4097\nf 637//637 4356//4356 584//584\nf 1228//1228 2349//2349 2161//2161\nf 714//714 3885//3885 4584//4584\nf 1228//1228 2189//2189 2208//2208\nf 5218//5218 5185//5185 4212//4212\nf 4229//4229 4227//4227 649//649\nf 4229//4229 5149//5149 2241//2241\nf 635//635 767//767 4236//4236\nf 1018//1018 2382//2382 2239//2239\nf 5100//5100 1991//1991 4293//4293\nf 3697//3697 4235//4235 4293//4293\nf 5220//5220 2292//2292 796//796\nf 666//666 5949//5949 6023//6023\nf 666//666 671//671 3890//3890\nf 699//699 2363//2363 892//892\nf 4293//4293 4098//4098 779//779\nf 763//763 4136//4136 4072//4072\nf 5556//5556 5491//5491 2148//2148\nf 4382//4382 1539//1539 2239//2239\nf 3977//3977 731//731 4824//4824\nf 4161//4161 571//571 4235//4235\nf 571//571 2543//2543 4235//4235\nf 5556//5556 2164//2164 3855//3855\nf 5193//5193 763//763 4072//4072\nf 516//516 5206//5206 568//568\nf 4092//4092 4206//4206 3105//3105\nf 516//516 1982//1982 1129//1129\nf 2662//2662 5176//5176 639//639\nf 4014//4014 2273//2273 681//681\nf 3172//3172 4385//4385 639//639\nf 4014//4014 2362//2362 2273//2273\nf 4661//4661 217//217 5072//5072\nf 892//892 2431//2431 4068//4068\nf 2379//2379 633//633 2959//2959\nf 2814//2814 1668//1668 772//772\nf 1009//1009 3828//3828 901//901\nf 4096//4096 2032//2032 772//772\nf 2043//2043 4411//4411 4317//4317\nf 2379//2379 590//590 4239//4239\nf 3908//3908 785//785 4132//4132\nf 4250//4250 4318//4318 2814//2814\nf 785//785 2406//2406 4132//4132\nf 4951//4951 4959//4959 16//16\nf 4318//4318 491//491 642//642\nf 5214//5214 2718//2718 4172//4172\nf 4247//4247 4258//4258 5136//5136\nf 3908//3908 4078//4078 785//785\nf 4096//4096 4178//4178 4259//4259\nf 4307//4307 2320//2320 4432//4432\nf 4258//4258 4039//4039 4209//4209\nf 4239//4239 5148//5148 2379//2379\nf 2032//2032 3982//3982 693//693\nf 4259//4259 2262//2262 3982//3982\nf 2032//2032 4096//4096 3982//3982\nf 5108//5108 4145//4145 4109//4109\nf 910//910 4415//4415 480//480\nf 1967//1967 2320//2320 4413//4413\nf 4109//4109 801//801 2029//2029\nf 4066//4066 633//633 903//903\nf 4095//4095 4249//4249 459//459\nf 903//903 2028//2028 727//727\nf 862//862 663//663 2299//2299\nf 1588//1588 1396//1396 3196//3196\nf 3659//3659 476//476 440//440\nf 5217//5217 862//862 4055//4055\nf 2105//2105 574//574 4176//4176\nf 5172//5172 602//602 4210//4210\nf 4178//4178 574//574 2368//2368\nf 4177//4177 1588//1588 4176//4176\nf 4240//4240 2324//2324 4209//4209\nf 4249//4249 4095//4095 2511//2511\nf 5043//5043 3274//3274 2511//2511\nf 5043//5043 4397//4397 2304//2304\nf 851//851 2027//2027 677//677\nf 5144//5144 617//617 3987//3987\nf 495//495 2405//2405 4240//4240\nf 5144//5144 5104//5104 669//669\nf 459//459 495//495 531//531\nf 617//617 4181//4181 3987//3987\nf 4123//4123 4048//4048 4049//4049\nf 2069//2069 3757//3757 3780//3780\nf 851//851 5194//5194 5102//5102\nf 4049//4049 868//868 5102//5102\nf 5194//5194 4202//4202 2341//2341\nf 5102//5102 868//868 4016//4016\nf 5102//5102 5194//5194 4049//4049\nf 2122//2122 2303//2303 2341//2341\nf 2267//2267 4257//4257 3987//3987\nf 5203//5203 2352//2352 4052//4052\nf 797//797 2513//2513 557//557\nf 2513//2513 641//641 4242//4242\nf 4224//4224 2321//2321 4242//4242\nf 4833//4833 489//489 4102//4102\nf 4447//4447 3274//3274 2304//2304\nf 2046//2046 5215//5215 4010//4010\nf 4224//4224 3144//3144 2321//2321\nf 1969//1969 321//321 595//595\nf 2466//2466 412//412 1876//1876\nf 5096//5096 586//586 542//542\nf 2351//2351 797//797 557//557\nf 4030//4030 873//873 5103//5103\nf 2831//2831 4182//4182 60//60\nf 5183//5183 586//586 4263//4263\nf 4986//4986 5103//5103 803//803\nf 4986//4986 4154//4154 5103//5103\nf 1945//1945 3580//3580 583//583\nf 1945//1945 583//583 4331//4331\nf 2414//2414 115//115 4292//4292\nf 883//883 5138//5138 2035//2035\nf 4017//4017 951//951 2112//2112\nf 2422//2422 4182//4182 1876//1876\nf 2414//2414 2452//2452 4316//4316\nf 4162//4162 686//686 4220//4220\nf 5142//5142 2249//2249 4023//4023\nf 60//60 4182//4182 567//567\nf 4292//4292 115//115 4590//4590\nf 768//768 533//533 504//504\nf 4876//4876 806//806 3811//3811\nf 715//715 300//300 4316//4316\nf 2831//2831 450//450 1876//1876\nf 2422//2422 1876//1876 412//412\nf 707//707 883//883 713//713\nf 4448//4448 2419//2419 4499//4499\nf 4340//4340 528//528 4518//4518\nf 4336//4336 4226//4226 4838//4838\nf 4605//4605 2018//2018 2884//2884\nf 5094//5094 4226//4226 5041//5041\nf 4548//4548 4185//4185 485//485\nf 715//715 1998//1998 1974//1974\nf 504//504 4448//4448 4499//4499\nf 4499//4499 2419//2419 4416//4416\nf 2290//2290 5094//5094 5041//5041\nf 4156//4156 4838//4838 485//485\nf 4470//4470 419//419 4416//4416\nf 4148//4148 74//74 838//838\nf 870//870 942//942 4019//4019\nf 5469//5469 832//832 4019//4019\nf 2467//2467 1933//1933 1325//1325\nf 74//74 4909//4909 942//942\nf 555//555 5112//5112 2016//2016\nf 5112//5112 538//538 2016//2016\nf 5112//5112 4605//4605 538//538\nf 4520//4520 2290//2290 5041//5041\nf 4842//4842 4101//4101 4108//4108\nf 3966//3966 74//74 942//942\nf 66//66 4308//4308 3984//3984\nf 941//941 951//951 2227//2227\nf 848//848 6072//6072 5294//5294\nf 66//66 369//369 4361//4361\nf 3082//3082 90//90 4310//4310\nf 4232//4232 4363//4363 4205//4205\nf 3956//3956 2100//2100 2261//2261\nf 3956//3956 3725//3725 2100//2100\nf 2272//2272 4909//4909 653//653\nf 749//749 2030//2030 5169//5169\nf 4135//4135 4361//4361 1488//1488\nf 3984//3984 4497//4497 369//369\nf 2373//2373 4135//4135 685//685\nf 348//348 1436//1436 4314//4314\nf 73//73 2019//2019 4111//4111\nf 4223//4223 2294//2294 5200//5200\nf 541//541 4157//4157 1508//1508\nf 406//406 1436//1436 4378//4378\nf 2209//2209 3956//3956 3901//3901\nf 73//73 654//654 2373//2373\nf 1529//1529 4342//4342 841//841\nf 4260//4260 4446//4446 1508//1508\nf 4275//4275 4147//4147 5038//5038\nf 603//603 4962//4962 2360//2360\nf 5037//5037 4157//4157 781//781\nf 4269//4269 720//720 2369//2369\nf 5005//5005 4338//4338 4306//4306\nf 692//692 814//814 909//909\nf 2370//2370 4393//4393 520//520\nf 3106//3106 874//874 692//692\nf 1377//1377 576//576 640//640\nf 4373//4373 580//580 4026//4026\nf 634//634 4180//4180 3995//3995\nf 4306//4306 2369//2369 5005//5005\nf 2369//2369 2372//2372 4269//4269\nf 1529//1529 4273//4273 420//420\nf 1468//1468 4962//4962 603//603\nf 420//420 4377//4377 1594//1594\nf 2229//2229 2308//2308 3985//3985\nf 3985//3985 2308//2308 812//812\nf 4375//4375 4574//4574 2954//2954\nf 4338//4338 4419//4419 1471//1471\nf 720//720 4342//4342 5005//5005\nf 550//550 2372//2372 5042//5042\nf 789//789 757//757 3258//3258\nf 4118//4118 4119//4119 5181//5181\nf 646//646 2441//2441 2204//2204\nf 1456//1456 548//548 4243//4243\nf 2372//2372 2391//2391 5042//5042\nf 646//646 2204//2204 548//548\nf 335//335 4183//4183 4489//4489\nf 5184//5184 578//578 4341//4341\nf 512//512 2902//2902 519//519\nf 979//979 2307//2307 611//611\nf 5011//5011 335//335 4489//4489\nf 416//416 4400//4400 378//378\nf 2000//2000 483//483 647//647\nf 2000//2000 5184//5184 483//483\nf 886//886 3930//3930 4117//4117\nf 593//593 675//675 682//682\nf 2123//2123 736//736 605//605\nf 5159//5159 5187//5187 2123//2123\nf 2253//2253 3876//3876 3951//3951\nf 2270//2270 2281//2281 675//675\nf 4376//4376 2441//2441 646//646\nf 76//76 378//378 4872//4872\nf 643//643 1953//1953 709//709\nf 643//643 645//645 605//605\nf 4352//4352 573//573 443//443\nf 5089//5089 5084//5084 573//573\nf 4352//4352 5089//5089 573//573\nf 683//683 2323//2323 2237//2237\nf 4900//4900 179//179 319//319\nf 3121//3121 4563//4563 410//410\nf 2023//2023 4169//4169 679//679\nf 3121//3121 1897//1897 4563//4563\nf 3960//3960 3804//3804 3887//3887\nf 773//773 2789//2789 4198//4198\nf 1516//1516 679//679 4169//4169\nf 2231//2231 2361//2361 2354//2354\nf 5009//5009 2013//2013 2162//2162\nf 2013//2013 774//774 2162//2162\nf 835//835 4061//4061 3967//3967\nf 4390//4390 444//444 2532//2532\nf 4301//4301 5140//5140 584//584\nf 4061//4061 507//507 3967//3967\nf 2230//2230 2049//2049 532//532\nf 4128//4128 4301//4301 4168//4168\nf 1147//1147 2075//2075 5031//5031\nf 2667//2667 2729//2729 4534//4534\nf 370//370 2667//2667 4534//4534\nf 2188//2188 4345//4345 2047//2047\nf 4158//4158 2402//2402 2013//2013\nf 5031//5031 3674//3674 829//829\nf 2235//2235 3345//3345 3943//3943\nf 4869//4869 732//732 4139//4139\nf 2323//2323 3948//3948 4127//4127\nf 3422//3422 2188//2188 2047//2047\nf 3674//3674 5031//5031 2075//2075\nf 4107//4107 445//445 714//714\nf 566//566 4584//4584 3983//3983\nf 4165//4165 2350//2350 708//708\nf 794//794 4149//4149 2244//2244\nf 794//794 4776//4776 5208//5208\nf 4022//4022 5140//5140 4301//4301\nf 2189//2189 5178//5178 2208//2208\nf 507//507 4305//4305 5176//5176\nf 3967//3967 507//507 833//833\nf 626//626 2059//2059 4246//4246\nf 2230//2230 4188//4188 2315//2315\nf 4235//4235 3697//3697 4161//4161\nf 3089//3089 1544//1544 5157//5157\nf 5193//5193 3014//3014 765//765\nf 2029//2029 801//801 2375//2375\nf 2401//2401 4299//4299 4297//4297\nf 2568//2568 902//902 2233//2233\nf 801//801 4056//4056 2375//2375\nf 3120//3120 4248//4248 4599//4599\nf 4092//4092 1129//1129 1982//1982\nf 5206//5206 1129//1129 5157//5157\nf 1991//1991 4236//4236 3931//3931\nf 4236//4236 767//767 734//734\nf 701//701 3105//3105 4137//4137\nf 568//568 2401//2401 4179//4179\nf 164//164 280//280 2499//2499\nf 892//892 4068//4068 1540//1540\nf 5012//5012 498//498 1772//1772\nf 4065//4065 4106//4106 4012//4012\nf 4065//4065 1869//1869 1983//1983\nf 819//819 1539//1539 702//702\nf 4370//4370 497//497 2312//2312\nf 4246//4246 5127//5127 4166//4166\nf 532//532 2049//2049 2730//2730\nf 912//912 635//635 4455//4455\nf 609//609 5127//5127 2059//2059\nf 3907//3907 4076//4076 4056//4056\nf 2816//2816 1773//1773 3953//3953\nf 4250//4250 2814//2814 4368//4368\nf 4096//4096 4259//4259 3982//3982\nf 4076//4076 2375//2375 4056//4056\nf 3978//3978 623//623 4239//4239\nf 5171//5171 1668//1668 642//642\nf 4077//4077 6033//6033 3940//3940\nf 2217//2217 3879//3879 2337//2337\nf 590//590 2043//2043 3978//3978\nf 1668//1668 4318//4318 642//642\nf 4239//4239 2033//2033 5148//5148\nf 5171//5171 1037//1037 3660//3660\nf 775//775 4178//4178 4096//4096\nf 772//772 4324//4324 2814//2814\nf 4368//4368 4171//4171 4172//4172\nf 4171//4171 5214//5214 4172//4172\nf 775//775 4096//4096 772//772\nf 3953//3953 1773//1773 4278//4278\nf 3907//3907 5197//5197 2063//2063\nf 4264//4264 766//766 791//791\nf 4186//4186 2291//2291 766//766\nf 476//476 1037//1037 510//510\nf 253//253 527//527 4371//4371\nf 574//574 4319//4319 4177//4177\nf 3188//3188 510//510 1037//1037\nf 510//510 4371//4371 5124//5124\nf 4874//4874 4550//4550 111//111\nf 5165//5165 2267//2267 3987//3987\nf 3196//3196 1396//1396 4238//4238\nf 4874//4874 111//111 479//479\nf 4178//4178 4319//4319 574//574\nf 3196//3196 4115//4115 4176//4176\nf 2340//2340 1587//1587 4238//4238\nf 4240//4240 2405//2405 2324//2324\nf 2027//2027 5104//5104 5144//5144\nf 5172//5172 4215//4215 807//807\nf 4257//4257 2027//2027 5144//5144\nf 5212//5212 4123//4123 4049//4049\nf 4447//4447 2304//2304 1356//1356\nf 3274//3274 5043//5043 2304//2304\nf 4257//4257 5144//5144 3987//3987\nf 1357//1357 4315//4315 4011//4011\nf 4039//4039 4115//4115 531//531\nf 677//677 530//530 4202//4202\nf 851//851 5102//5102 2165//2165\nf 1587//1587 628//628 3337//3337\nf 530//530 4257//4257 2267//2267\nf 677//677 2027//2027 4257//4257\nf 677//677 4257//4257 530//530\nf 2046//2046 4263//4263 5215//5215\nf 4833//4833 1379//1379 489//489\nf 4224//4224 641//641 4833//4833\nf 4315//4315 641//641 540//540\nf 4315//4315 1379//1379 4833//4833\nf 473//473 4713//4713 545//545\nf 636//636 4173//4173 5098//5098\nf 4173//4173 1765//1765 5098//5098\nf 4263//4263 2351//2351 5183//5183\nf 3169//3169 1969//1969 3724//3724\nf 2058//2058 540//540 2513//2513\nf 4833//4833 4102//4102 4224//4224\nf 2466//2466 4950//4950 412//412\nf 586//586 5096//5096 4263//4263\nf 2266//2266 5143//5143 879//879\nf 1974//1974 613//613 616//616\nf 586//586 5183//5183 5098//5098\nf 4729//4729 4331//4331 583//583\nf 1945//1945 4331//4331 542//542\nf 4162//4162 484//484 686//686\nf 567//567 3726//3726 4289//4289\nf 664//664 2289//2289 10//10\nf 2219//2219 4953//4953 610//610\nf 583//583 3580//3580 450//450\nf 4436//4436 1199//1199 2422//2422\nf 4292//4292 4590//4590 4244//4244\nf 4875//4875 3970//3970 4093//4093\nf 567//567 4182//4182 1199//1199\nf 4875//4875 4618//4618 4220//4220\nf 943//943 2125//2125 5105//5105\nf 4379//4379 353//353 453//453\nf 4379//4379 3453//3453 353//353\nf 453//453 115//115 3726//3726\nf 2125//2125 893//893 753//753\nf 4876//4876 4875//4875 4220//4220\nf 484//484 5122//5122 4353//4353\nf 5199//5199 4093//4093 707//707\nf 484//484 4353//4353 686//686\nf 504//504 4340//4340 768//768\nf 4017//4017 2112//2112 5138//5138\nf 4499//4499 4651//4651 528//528\nf 4518//4518 4838//4838 4226//4226\nf 4017//4017 5138//5138 793//793\nf 4879//4879 4017//4017 793//793\nf 5112//5112 555//555 754//754\nf 528//528 4651//4651 4548//4548\nf 5041//5041 4336//4336 4082//4082\nf 716//716 4113//4113 1554//1554\nf 716//716 485//485 4113//4113\nf 4470//4470 2419//2419 2969//2969\nf 439//439 209//209 58//58\nf 4044//4044 4399//4399 4497//4497\nf 544//544 4226//4226 5094//5094\nf 2227//2227 475//475 941//941\nf 271//271 315//315 4955//4955\nf 4340//4340 4906//4906 768//768\nf 4044//4044 4497//4497 3984//3984\nf 4603//4603 18//18 488//488\nf 4399//4399 488//488 2331//2331\nf 4416//4416 2419//2419 4470//4470\nf 2272//2272 678//678 2030//2030\nf 4108//4108 612//612 3968//3968\nf 4308//4308 4225//4225 4043//4043\nf 4230//4230 4361//4361 4135//4135\nf 3081//3081 1489//1489 4310//4310\nf 710//710 1508//1508 4446//4446\nf 592//592 4101//4101 4842//4842\nf 2256//2256 2209//2209 3901//3901\nf 4111//4111 2019//2019 4907//4907\nf 4329//4329 2019//2019 4013//4013\nf 4911//4911 4844//4844 39//39\nf 2022//2022 1488//1488 4310//4310\nf 2022//2022 4135//4135 1488//1488\nf 587//587 4260//4260 4157//4157\nf 2205//2205 2279//2279 4954//4954\nf 4223//4223 5200//5200 3823//3823\nf 4330//4330 4275//4275 5038//5038\nf 2205//2205 3979//3979 4877//4877\nf 541//541 778//778 659//659\nf 4985//4985 2205//2205 5192//5192\nf 923//923 2089//2089 945//945\nf 2205//2205 4954//4954 3979//3979\nf 5192//5192 582//582 4985//4985\nf 5037//5037 4840//4840 4877//4877\nf 2205//2205 4877//4877 4840//4840\nf 4269//4269 2372//2372 550//550\nf 529//529 1377//1377 640//640\nf 4062//4062 2360//2360 4090//4090\nf 2056//2056 3886//3886 6//6\nf 993//993 1042//1042 3846//3846\nf 4342//4342 720//720 841//841\nf 5005//5005 4342//4342 4231//4231\nf 1594//1594 4233//4233 4231//4231\nf 3123//3123 1703//1703 2366//2366\nf 469//469 4873//4873 4668//4668\nf 582//582 4021//4021 4160//4160\nf 2295//2295 3979//3979 745//745\nf 4840//4840 5192//5192 2205//2205\nf 552//552 4330//4330 4985//4985\nf 539//539 4330//4330 552//552\nf 398//398 5091//5091 4543//4543\nf 4402//4402 4512//4512 309//309\nf 211//211 4453//4453 474//474\nf 4558//4558 4374//4374 2549//2549\nf 474//474 4357//4357 515//515\nf 2171//2171 2229//2229 2371//2371\nf 4419//4419 4338//4338 5162//5162\nf 2229//2229 5181//5181 2308//2308\nf 1457//1457 2833//2833 487//487\nf 4360//4360 548//548 1456//1456\nf 611//611 2497//2497 979//979\nf 548//548 2371//2371 4243//4243\nf 4424//4424 4507//4507 4929//4929\nf 2034//2034 4374//4374 4558//4558\nf 20//20 438//438 4969//4969\nf 490//490 1956//1956 1627//1627\nf 1956//1956 2005//2005 4302//4302\nf 2696//2696 519//519 458//458\nf 512//512 519//519 4381//4381\nf 4268//4268 2200//2200 4376//4376\nf 2064//2064 4194//4194 2185//2185\nf 4341//4341 483//483 5184//5184\nf 2000//2000 335//335 5184//5184\nf 2000//2000 4360//4360 1456//1456\nf 601//601 5174//5174 4987//4987\nf 335//335 2000//2000 1456//1456\nf 547//547 752//752 4163//4163\nf 579//579 4296//4296 2270//2270\nf 601//601 4195//4195 5175//5175\nf 547//547 750//750 546//546\nf 547//547 4163//4163 750//750\nf 4195//4195 4194//4194 5175//5175\nf 5174//5174 5175//5175 551//551\nf 2799//2799 4184//4184 4400//4400\nf 579//579 4294//4294 447//447\nf 645//645 2123//2123 605//605\nf 5139//5139 2808//2808 76//76\nf 378//378 61//61 416//416\nf 2270//2270 675//675 593//593\nf 5159//5159 579//579 593//593\nf 2070//2070 446//446 4170//4170\nf 2123//2123 645//645 536//536\nf 2123//2123 5187//5187 736//736\nf 643//643 709//709 4094//4094\nf 4294//4294 579//579 536//536\nf 4294//4294 460//460 447//447\nf 433//433 4184//4184 2799//2799\nf 446//446 443//443 4203//4203\nf 2070//2070 680//680 446//446\nf 4296//4296 2250//2250 2270//2270\nf 4203//4203 2788//2788 773//773\nf 3930//3930 1348//1348 3807//3807\nf 680//680 443//443 446//446\nf 5089//5089 2381//2381 4405//4405\nf 2789//2789 2788//2788 1516//1516\nf 4169//4169 2789//2789 1516//1516\nf 2316//2316 4198//4198 947//947\nf 773//773 4198//4198 4126//4126\nf 3121//3121 2054//2054 1897//1897\nf 700//700 2354//2354 4024//4024\nf 2883//2883 3932//3932 2316//2316\nf 4463//4463 2047//2047 698//698\nf 2354//2354 2361//2361 827//827\nf 3960//3960 4170//4170 4126//4126\nf 4203//4203 443//443 4350//4350\nf 1516//1516 2788//2788 508//508\nf 4587//4587 2538//2538 279//279\nf 1147//1147 5031//5031 2154//2154\nf 4164//4164 3422//3422 2047//2047\nf 827//827 4174//4174 2354//2354\nf 679//679 4051//4051 2023//2023\nf 2730//2730 401//401 629//629\nf 2730//2730 2048//2048 448//448\nf 1448//1448 3965//3965 4200//4200\nf 1448//1448 4097//4097 4131//4131\nf 2730//2730 2049//2049 2048//2048\nf 833//833 1937//1937 1869//1869\nf 1448//1448 4200//4200 830//830\nf 4188//4188 2230//2230 4061//4061\nf 4496//4496 514//514 5118//5118\nf 2600//2600 526//526 462//462\nf 4303//4303 4164//4164 4460//4460\nf 2600//2600 4933//4933 526//526\nf 650//650 2013//2013 2402//2402\nf 4035//4035 4303//4303 322//322\nf 4035//4035 743//743 4303//4303\nf 322//322 4303//4303 2726//2726\nf 2161//2161 570//570 4159//4159\nf 3674//3674 534//534 2051//2051\nf 2729//2729 2726//2726 4534//4534\nf 4164//4164 4463//4463 4460//4460\nf 4463//4463 4105//4105 4429//4429\nf 534//534 2349//2349 717//717\nf 2729//2729 4228//4228 322//322\nf 534//534 570//570 2349//2349\nf 5846//5846 2387//2387 4032//4032\nf 4940//4940 3961//3961 3983//3983\nf 4168//4168 2049//2049 4128//4128\nf 4103//4103 566//566 4356//4356\nf 35//35 509//509 3983//3983\nf 4168//4168 2048//2048 2049//2049\nf 2350//2350 4228//4228 708//708\nf 4623//4623 4567//4567 202//202\nf 5140//5140 638//638 637//637\nf 5178//5178 638//638 830//830\nf 2226//2226 4103//4103 637//637\nf 3885//3885 4623//4623 4940//4940\nf 4103//4103 4356//4356 637//637\nf 227//227 3980//3980 4921//4921\nf 1937//1937 4246//4246 4166//4166\nf 1937//1937 4385//4385 4246//4246\nf 401//401 4387//4387 4505//4505\nf 1937//1937 2662//2662 4385//4385\nf 2813//2813 626//626 4358//4358\nf 401//401 1992//1992 629//629\nf 626//626 4246//4246 4358//4358\nf 2442//2442 2338//2338 2312//2312\nf 4098//4098 2292//2292 702//702\nf 2239//2239 1067//1067 1018//1018\nf 2045//2045 1066//1066 1018//1018\nf 2798//2798 2400//2400 4537//4537\nf 577//577 480//480 1791//1791\nf 910//910 4461//4461 1967//1967\nf 568//568 2432//2432 516//516\nf 4599//4599 2443//2443 4297//4297\nf 796//796 4824//4824 2302//2302\nf 2239//2239 2382//2382 4455//4455\nf 2382//2382 630//630 4455//4455\nf 205//205 4597//4597 4739//4739\nf 1539//1539 1067//1067 2239//2239\nf 2045//2045 1018//1018 1067//1067\nf 702//702 1539//1539 779//779\nf 4511//4511 4661//4661 524//524\nf 4208//4208 161//161 4824//4824\nf 2401//2401 568//568 5206//5206\nf 5206//5206 1544//1544 2401//2401\nf 3120//3120 4299//4299 1400//1400\nf 516//516 2432//2432 1338//1338\nf 4248//4248 521//521 366//366\nf 283//283 4597//4597 4537//4537\nf 4750//4750 4959//4959 4960//4960\nf 5012//5012 1772//1772 3172//3172\nf 497//497 2442//2442 2312//2312\nf 497//497 5006//5006 2442//2442\nf 2059//2059 4068//4068 609//609\nf 1869//1869 2055//2055 833//833\nf 639//639 5012//5012 3172//3172\nf 4591//4591 4450//4450 349//349\nf 1772//1772 4370//4370 2813//2813\nf 4591//4591 2442//2442 5006//5006\nf 4591//4591 5006//5006 403//403\nf 2217//2217 2052//2052 4172//4172\nf 3978//3978 5214//5214 623//623\nf 1338//1338 1982//1982 516//516\nf 421//421 3352//3352 3799//3799\nf 2032//2032 2062//2062 4324//4324\nf 2033//2033 623//623 2062//2062\nf 577//577 2443//2443 910//910\nf 4750//4750 4743//4743 4959//4959\nf 727//727 2028//2028 845//845\nf 2052//2052 2217//2217 2346//2346\nf 1668//1668 2814//2814 4318//4318\nf 4411//4411 2816//2816 477//477\nf 693//693 2033//2033 2062//2062\nf 2379//2379 863//863 2263//2263\nf 2781//2781 4456//4456 523//523\nf 4187//4187 4411//4411 477//477\nf 2052//2052 4250//4250 4368//4368\nf 2346//2346 625//625 2130//2130\nf 2346//2346 4298//4298 4250//4250\nf 1668//1668 775//775 772//772\nf 2346//2346 2130//2130 4298//4298\nf 476//476 3660//3660 1037//1037\nf 642//642 1037//1037 5171//5171\nf 4319//4319 775//775 5171//5171\nf 1668//1668 5171//5171 775//775\nf 4319//4319 4178//4178 775//775\nf 5124//5124 476//476 510//510\nf 4286//4286 2342//2342 2353//2353\nf 4550//4550 4784//4784 111//111\nf 3659//3659 1588//1588 4177//4177\nf 727//727 4066//4066 903//903\nf 3659//3659 3660//3660 476//476\nf 2405//2405 5191//5191 2324//2324\nf 2324//2324 5191//5191 2194//2194\nf 4240//4240 4039//4039 531//531\nf 2027//2027 755//755 5104//5104\nf 1438//1438 1356//1356 2304//2304\nf 624//624 2268//2268 3274//3274\nf 1438//1438 2304//2304 4397//4397\nf 473//473 489//489 1379//1379\nf 4833//4833 641//641 4315//4315\nf 2268//2268 624//624 4042//4042\nf 4095//4095 3337//3337 5043//5043\nf 4202//4202 530//530 2122//2122\nf 2268//2268 5165//5165 2511//2511\nf 113//113 4102//4102 4564//4564\nf 557//557 4189//4189 5183//5183\nf 10//10 4729//4729 4326//4326\nf 4292//4292 4244//4244 484//484\nf 1945//1945 4173//4173 3580//3580\nf 715//715 2452//2452 5095//5095\nf 4316//4316 4289//4289 2414//2414\nf 4906//4906 2377//2377 806//806\nf 2016//2016 678//678 555//555\nf 4353//4353 5122//5122 569//569\nf 352//352 2198//2198 4814//4814\nf 4906//4906 4340//4340 544//544\nf 4470//4470 5027//5027 4843//4843\nf 5094//5094 4879//4879 2377//2377\nf 2199//2199 2313//2313 942//942\nf 2199//2199 2272//2272 1507//1507\nf 4013//4013 4205//4205 4329//4329\nf 4135//4135 2022//2022 685//685\nf 4308//4308 4043//4043 3984//3984\nf 2256//2256 2089//2089 2209//2209\nf 4081//4081 592//592 749//749\nf 4081//4081 4230//4230 654//654\nf 592//592 4842//4842 1507//1507\nf 90//90 4363//4363 4232//4232\nf 25//25 2037//2037 2326//2326\nf 4446//4446 4205//4205 4363//4363\nf 1436//1436 406//406 4314//4314\nf 1508//1508 4157//4157 4260//4260\nf 4386//4386 4970//4970 413//413\nf 520//520 496//496 563//563\nf 4655//4655 4418//4418 4367//4367\nf 1583//1583 4183//4183 299//299\nf 4334//4334 4273//4273 4080//4080\nf 563//563 576//576 1377//1377\nf 1703//1703 1819//1819 1521//1521\nf 1703//1703 529//529 640//640\nf 4343//4343 520//520 345//345\nf 457//457 468//468 1755//1755\nf 4231//4231 5162//5162 4338//4338\nf 4334//4334 539//539 4333//4333\nf 884//884 4685//4685 4291//4291\nf 4344//4344 580//580 2987//2987\nf 4971//4971 24//24 4684//4684\nf 4377//4377 420//420 4333//4333\nf 4021//4021 778//778 580//580\nf 564//564 350//350 4924//4924\nf 1471//1471 4306//4306 4338//4338\nf 487//487 1755//1755 3023//3023\nf 4231//4231 4342//4342 1594//1594\nf 4419//4419 4380//4380 1471//1471\nf 5091//5091 236//236 178//178\nf 4291//4291 515//515 4420//4420\nf 4268//4268 4376//4376 752//752\nf 4268//4268 5168//5168 2200//2200\nf 5184//5184 335//335 5011//5011\nf 61//61 4834//4834 159//159\nf 4489//4489 2008//2008 2040//2040\nf 645//645 4349//4349 536//536\nf 5211//5211 417//417 81//81\nf 4400//4400 416//416 5090//5090\nf 644//644 643//643 4094//4094\nf 4203//4203 773//773 4170//4170\nf 573//573 5084//5084 371//371\nf 5089//5089 4405//4405 5084//5084\nf 319//319 179//179 385//385\nf 385//385 4937//4937 4538//4538\nf 3960//3960 4126//4126 3804//3804\nf 4885//4885 4937//4937 385//385\nf 4900//4900 4949//4949 179//179\nf 680//680 4175//4175 4352//4352\nf 761//761 2023//2023 4051//4051\nf 5118//5118 4412//4412 4496//4496\nf 679//679 537//537 827//827\nf 4035//4035 572//572 2075//2075\nf 29//29 4581//4581 4933//4933\nf 29//29 4870//4870 4581//4581\nf 5176//5176 2662//2662 507//507\nf 3961//3961 336//336 35//35\nf 2531//2531 4354//4354 444//444\nf 4301//4301 584//584 2531//2531\nf 410//410 8//8 5118//5118\nf 2847//2847 2051//2051 717//717\nf 3821//3821 2003//2003 2002//2002\nf 2667//2667 2918//2918 4927//4927\nf 1228//1228 831//831 717//717\nf 4584//4584 4383//4383 714//714\nf 4159//4159 570//570 4107//4107\nf 2387//2387 5846//5846 4141//4141\nf 4141//4141 799//799 2387//2387\nf 638//638 2226//2226 637//637\nf 5099//5099 4498//4498 4505//4505\nf 507//507 4061//4061 4305//4305\nf 277//277 690//690 4944//4944\nf 4494//4494 411//411 414//414\nf 2813//2813 4370//4370 1066//1066\nf 63//63 4786//4786 217//217\nf 4382//4382 635//635 5100//5100\nf 4455//4455 630//630 912//912\nf 4355//4355 4245//4245 2382//2382\nf 609//609 2431//2431 4014//4014\nf 1018//1018 1066//1066 4355//4355\nf 4237//4237 2432//2432 4040//4040\nf 4396//4396 767//767 404//404\nf 4248//4248 366//366 4599//4599\nf 523//523 4237//4237 4040//4040\nf 2432//2432 2029//2029 1338//1338\nf 4236//4236 734//734 3931//3931\nf 1544//1544 4299//4299 2401//2401\nf 4297//4297 577//577 4179//4179\nf 366//366 521//521 283//283\nf 1983//1983 681//681 4065//4065\nf 507//507 2662//2662 833//833\nf 2662//2662 1937//1937 833//833\nf 497//497 498//498 5006//5006\nf 4245//4245 4355//4355 2312//2312\nf 2443//2443 366//366 4461//4461\nf 4750//4750 4806//4806 4743//4743\nf 625//625 4589//4589 2039//2039\nf 4437//4437 1806//1806 2564//2564\nf 3982//3982 2028//2028 693//693\nf 4942//4942 478//478 282//282\nf 4741//4741 4724//4724 4806//4806\nf 1009//1009 2271//2271 864//864\nf 2959//2959 633//633 864//864\nf 4317//4317 3978//3978 2043//2043\nf 2346//2346 4428//4428 625//625\nf 2814//2814 4324//4324 4368//4368\nf 4324//4324 4171//4171 4368//4368\nf 4903//4903 4586//4586 59//59\nf 3188//3188 491//491 4337//4337\nf 4398//4398 4508//4508 4395//4395\nf 1396//1396 1588//1588 4286//4286\nf 463//463 4757//4757 4981//4981\nf 491//491 4298//4298 4337//4337\nf 3659//3659 4286//4286 1588//1588\nf 845//845 2262//2262 2260//2260\nf 2262//2262 4259//4259 4281//4281\nf 2405//2405 2004//2004 5191//5191\nf 4115//4115 4039//4039 2105//2105\nf 294//294 2317//2317 2342//2342\nf 2317//2317 2353//2353 2342//2342\nf 4181//4181 4249//4249 5165//5165\nf 4696//4696 4542//4542 4586//4586\nf 2065//2065 4258//4258 4209//4209\nf 3987//3987 4181//4181 5165//5165\nf 4397//4397 4430//4430 4571//4571\nf 4249//4249 495//495 459//459\nf 4011//4011 2057//2057 599//599\nf 2268//2268 2267//2267 5165//5165\nf 522//522 2122//2122 4042//4042\nf 2341//2341 4202//4202 2122//2122\nf 5203//5203 4052//4052 797//797\nf 2351//2351 4263//4263 4986//4986\nf 4315//4315 1357//1357 1379//1379\nf 4287//4287 4173//4173 636//636\nf 4467//4467 4570//4570 294//294\nf 5195//5195 2303//2303 3936//3936\nf 2057//2057 2058//2058 3936//3936\nf 4189//4189 5098//5098 5183//5183\nf 4326//4326 1705//1705 616//616\nf 664//664 4326//4326 1999//1999\nf 1974//1974 300//300 715//715\nf 2466//2466 450//450 3724//3724\nf 19//19 4729//4729 583//583\nf 115//115 4289//4289 3726//3726\nf 595//595 364//364 4950//4950\nf 10//10 4326//4326 664//664\nf 1999//1999 5142//5142 664//664\nf 1999//1999 4326//4326 616//616\nf 5087//5087 180//180 4682//4682\nf 484//484 4162//4162 4292//4292\nf 4162//4162 2414//2414 4292//4292\nf 5199//5199 1998//1998 715//715\nf 1198//1198 2419//2419 4448//4448\nf 686//686 4114//4114 344//344\nf 3229//3229 3142//3142 4468//4468\nf 5106//5106 3062//3062 5122//5122\nf 5106//5106 3142//3142 3229//3229\nf 1198//1198 2026//2026 2339//2339\nf 528//528 4340//4340 504//504\nf 4113//4113 4185//4185 4469//4469\nf 4544//4544 352//352 4814//4814\nf 716//716 1554//1554 754//754\nf 4336//4336 4838//4838 4156//4156\nf 4416//4416 419//419 4490//4490\nf 1325//1325 2017//2017 2018//2018\nf 1325//1325 1933//1933 2017//2017\nf 1325//1325 1554//1554 2467//2467\nf 4500//4500 4399//4399 4044//4044\nf 126//126 4738//4738 209//209\nf 2740//2740 1818//1818 271//271\nf 5094//5094 2377//2377 544//544\nf 4707//4707 290//290 4662//4662\nf 4232//4232 4013//4013 685//685\nf 5169//5169 4225//4225 4308//4308\nf 2884//2884 4044//4044 538//538\nf 4081//4081 648//648 4230//4230\nf 696//696 5160//5160 5190//5190\nf 696//696 983//983 2211//2211\nf 18//18 4955//4955 4602//4602\nf 2327//2327 3080//3080 4454//4454\nf 90//90 3082//3082 4454//4454\nf 1488//1488 4361//4361 369//369\nf 4232//4232 4205//4205 4013//4013\nf 648//648 5169//5169 66//66\nf 369//369 3081//3081 1488//1488\nf 5169//5169 4308//4308 66//66\nf 3080//3080 348//348 4363//4363\nf 4454//4454 3082//3082 2036//2036\nf 5052//5052 4911//4911 39//39\nf 361//361 139//139 4700//4700\nf 2022//2022 4232//4232 685//685\nf 4844//4844 361//361 4956//4956\nf 80//80 4641//4641 5093//5093\nf 1436//1436 4892//4892 4378//4378\nf 587//587 4329//4329 4260//4260\nf 5037//5037 4877//4877 4266//4266\nf 4386//4386 4384//4384 4841//4841\nf 4892//4892 348//348 3080//3080\nf 4373//4373 4451//4451 4389//4389\nf 4378//4378 2037//2037 2367//2367\nf 2490//2490 4384//4384 4386//4386\nf 4418//4418 345//345 4367//4367\nf 778//778 4026//4026 580//580\nf 4026//4026 406//406 4373//4373\nf 4378//4378 2367//2367 406//406\nf 345//345 520//520 563//563\nf 4418//4418 4233//4233 4343//4343\nf 4417//4417 4488//4488 1755//1755\nf 1321//1321 2005//2005 21//21\nf 4655//4655 4656//4656 346//346\nf 3117//3117 4423//4423 4445//4445\nf 4424//4424 4929//4929 4576//4576\nf 884//884 337//337 2832//2832\nf 4970//4970 4841//4841 4971//4971\nf 4291//4291 2034//2034 884//884\nf 4558//4558 4424//4424 4576//4576\nf 2330//2330 503//503 4160//4160\nf 4892//4892 3080//3080 2327//2327\nf 552//552 582//582 503//503\nf 4420//4420 4374//4374 2034//2034\nf 474//474 4452//4452 4351//4351\nf 4351//4351 4427//4427 502//502\nf 490//490 2832//2832 486//486\nf 4453//4453 1627//1627 4302//4302\nf 4452//4452 4425//4425 4427//4427\nf 4402//4402 4938//4938 2913//2913\nf 4924//4924 4925//4925 4615//4615\nf 147//147 203//203 5081//5081\nf 4445//4445 456//456 3117//3117\nf 1404//1404 4987//4987 3962//3962\nf 4367//4367 1377//1377 529//529\nf 1457//1457 487//487 1466//1466\nf 4465//4465 1956//1956 490//490\nf 2902//2902 5011//5011 2040//2040\nf 316//316 2902//2902 2040//2040\nf 2171//2171 789//789 4118//4118\nf 490//490 1627//1627 4685//4685\nf 474//474 515//515 211//211\nf 2549//2549 4924//4924 4444//4444\nf 486//486 4434//4434 4465//4465\nf 38//38 4615//4615 4820//4820\nf 515//515 4357//4357 2913//2913\nf 4972//4972 108//108 355//355\nf 709//709 750//750 4341//4341\nf 260//260 2364//2364 398//398\nf 546//546 551//551 547//547\nf 2364//2364 468//468 398//398\nf 4851//4851 23//23 5062//5062\nf 259//259 316//316 2040//2040\nf 5085//5085 4543//4543 117//117\nf 5011//5011 2902//2902 512//512\nf 316//316 26//26 458//458\nf 4346//4346 4872//4872 2318//2318\nf 433//433 2381//2381 4335//4335\nf 5159//5159 536//536 579//579\nf 4898//4898 326//326 417//417\nf 5159//5159 2123//2123 536//536\nf 447//447 4372//4372 4296//4296\nf 326//326 4746//4746 417//417\nf 4349//4349 645//645 511//511\nf 4169//4169 2023//2023 947//947\nf 4352//4352 4372//4372 4335//4335\nf 680//680 2070//2070 481//481\nf 371//371 4515//4515 4350//4350\nf 481//481 2070//2070 591//591\nf 446//446 4203//4203 4170//4170\nf 371//371 4350//4350 573//573\nf 4139//4139 2883//2883 798//798\nf 4563//4563 4538//4538 8//8\nf 4885//4885 333//333 4747//4747\nf 333//333 4486//4486 4747//4747\nf 4949//4949 4592//4592 333//333\nf 4496//4496 2538//2538 4587//4587\nf 461//461 5129//5129 1845//1845\nf 2053//2053 2345//2345 4592//4592\nf 4528//4528 4853//4853 8//8\nf 4175//4175 4372//4372 4352//4352\nf 481//481 591//591 4207//4207\nf 4126//4126 4170//4170 773//773\nf 461//461 29//29 1688//1688\nf 3156//3156 292//292 4366//4366\nf 705//705 4345//4345 4045//4045\nf 4422//4422 461//461 1688//1688\nf 29//29 4933//4933 1688//1688\nf 4587//4587 279//279 461//461\nf 2232//2232 761//761 4051//4051\nf 4024//4024 4091//4091 700//700\nf 833//833 2055//2055 3967//3967\nf 638//638 5178//5178 2226//2226\nf 2049//2049 2230//2230 4128//4128\nf 4390//4390 422//422 1687//1687\nf 584//584 5140//5140 637//637\nf 461//461 279//279 29//29\nf 4422//4422 1688//1688 2600//2600\nf 2847//2847 2244//2244 2051//2051\nf 4429//4429 4105//4105 1831//1831\nf 2600//2600 462//462 1831//1831\nf 4534//4534 4429//4429 370//370\nf 4164//4164 4303//4303 743//743\nf 4933//4933 2600//2600 1688//1688\nf 462//462 370//370 1831//1831\nf 3422//3422 743//743 1147//1147\nf 1147//1147 743//743 2075//2075\nf 4165//4165 570//570 534//534\nf 2729//2729 418//418 455//455\nf 1147//1147 2154//2154 650//650\nf 650//650 2402//2402 3422//3422\nf 2075//2075 743//743 4035//4035\nf 4623//4623 202//202 4598//4598\nf 1474//1474 4200//4200 619//619\nf 4149//4149 618//618 829//829\nf 4027//4027 2847//2847 831//831\nf 509//509 4356//4356 566//566\nf 3204//3204 4767//4767 4831//4831\nf 4551//4551 12//12 4860//4860\nf 452//452 227//227 362//362\nf 4246//4246 4385//4385 4358//4358\nf 5099//5099 325//325 4498//4498\nf 4382//4382 2239//2239 4455//4455\nf 63//63 3208//3208 4617//4617\nf 639//639 674//674 5012//5012\nf 4355//4355 1066//1066 4370//4370\nf 4068//4068 2431//2431 609//609\nf 1967//1967 4413//4413 4415//4415\nf 366//366 283//283 4461//4461\nf 2798//2798 4960//4960 4951//4951\nf 523//523 3953//3953 4237//4237\nf 4433//4433 442//442 4396//4396\nf 2059//2059 626//626 2045//2045\nf 477//477 4456//4456 421//421\nf 767//767 635//635 912//912\nf 324//324 4960//4960 2798//2798\nf 4442//4442 4884//4884 4750//4750\nf 524//524 404//404 365//365\nf 4245//4245 2338//2338 365//365\nf 365//365 2338//2338 4511//4511\nf 1400//1400 4299//4299 1544//1544\nf 4245//4245 2312//2312 2338//2338\nf 1991//1991 3697//3697 4293//4293\nf 4370//4370 1772//1772 497//497\nf 2059//2059 2045//2045 5128//5128\nf 2413//2413 402//402 498//498\nf 4942//4942 4835//4835 4967//4967\nf 4392//4392 301//301 2337//2337\nf 3879//3879 2217//2217 4172//4172\nf 2032//2032 4324//4324 772//772\nf 4172//4172 2718//2718 3879//3879\nf 143//143 16//16 281//281\nf 2130//2130 2257//2257 4337//4337\nf 4298//4298 4318//4318 4250//4250\nf 4298//4298 491//491 4318//4318\nf 4307//4307 3880//3880 3352//3352\nf 4171//4171 2062//2062 623//623\nf 2320//2320 2400//2400 4951//4951\nf 4456//4456 2781//2781 421//421\nf 2781//2781 480//480 4415//4415\nf 2781//2781 1791//1791 480//480\nf 2243//2243 4428//4428 301//301\nf 2346//2346 2217//2217 4428//4428\nf 693//693 5148//5148 2033//2033\nf 2257//2257 2039//2039 4569//4569\nf 2257//2257 4359//4359 4337//4337\nf 4324//4324 2062//2062 4171//4171\nf 4337//4337 4298//4298 2130//2130\nf 4586//4586 233//233 59//59\nf 253//253 4359//4359 387//387\nf 1396//1396 2353//2353 4238//4238\nf 2015//2015 440//440 476//476\nf 4397//4397 4571//4571 1438//1438\nf 176//176 4467//4467 4332//4332\nf 1396//1396 4286//4286 2353//2353\nf 2015//2015 4332//4332 440//440\nf 4177//4177 4319//4319 3660//3660\nf 4395//4395 4508//4508 4696//4696\nf 440//440 4332//4332 2342//2342\nf 4508//4508 4542//4542 4696//4696\nf 459//459 1735//1735 1587//1587\nf 4238//4238 1587//1587 1735//1735\nf 624//624 4447//4447 599//599\nf 531//531 4115//4115 1735//1735\nf 4115//4115 3196//3196 1735//1735\nf 284//284 4686//4686 4902//4902\nf 3337//3337 4430//4430 4397//4397\nf 459//459 1587//1587 4095//4095\nf 522//522 2303//2303 2122//2122\nf 473//473 5055//5055 4713//4713\nf 4287//4287 3144//3144 113//113\nf 3144//3144 4224//4224 4102//4102\nf 4369//4369 567//567 4289//4289\nf 3580//3580 4173//4173 3169//3169\nf 3144//3144 4287//4287 636//636\nf 595//595 3724//3724 1969//1969\nf 453//453 353//353 4468//4468\nf 1825//1825 560//560 4958//4958\nf 686//686 344//344 4220//4220\nf 10//10 728//728 4196//4196\nf 728//728 10//10 2289//2289\nf 4846//4846 4742//4742 359//359\nf 192//192 4952//4952 145//145\nf 4590//4590 115//115 453//453\nf 1705//1705 19//19 60//60\nf 4326//4326 4729//4729 19//19\nf 3449//3449 3229//3229 4468//4468\nf 3142//3142 5106//5106 4244//4244\nf 5199//5199 5095//5095 4093//4093\nf 4468//4468 3142//3142 453//453\nf 4416//4416 3385//3385 4651//4651\nf 3448//3448 2339//2339 2026//2026\nf 5106//5106 4313//4313 3062//3062\nf 4416//4416 4490//4490 3385//3385\nf 3062//3062 449//449 569//569\nf 544//544 4518//4518 4226//4226\nf 449//449 1198//1198 4448//4448\nf 4156//4156 485//485 716//716\nf 3385//3385 4490//4490 4469//4469\nf 4492//4492 4602//4602 4935//4935\nf 2017//2017 4459//4459 2018//2018\nf 4647//4647 4699//4699 4325//4325\nf 4500//4500 4044//4044 2884//2884\nf 3223//3223 1933//1933 2467//2467\nf 4148//4148 4909//4909 74//74\nf 2036//2036 2327//2327 4454//4454\nf 4935//4935 4844//4844 4911//4911\nf 66//66 4361//4361 648//648\nf 4602//4602 488//488 18//18\nf 56//56 4641//4641 80//80\nf 3273//3273 25//25 2326//2326\nf 4043//4043 4225//4225 2016//2016\nf 4225//4225 678//678 2016//2016\nf 5169//5169 648//648 749//749\nf 157//157 4971//4971 4841//4841\nf 90//90 4454//4454 3080//3080\nf 234//234 312//312 28//28\nf 4026//4026 710//710 4314//4314\nf 39//39 2258//2258 3273//3273\nf 781//781 541//541 659//659\nf 2326//2326 4378//4378 4892//4892\nf 4687//4687 287//287 496//496\nf 2367//2367 482//482 4451//4451\nf 2326//2326 2327//2327 3273//3273\nf 781//781 4157//4157 541//541\nf 2832//2832 4488//4488 4417//4417\nf 345//345 4418//4418 4343//4343\nf 4367//4367 4656//4656 4655//4655\nf 1321//1321 21//21 3123//3123\nf 576//576 287//287 4536//4536\nf 640//640 3024//3024 2366//2366\nf 486//486 4417//4417 2833//2833\nf 311//311 289//289 210//210\nf 4434//4434 486//486 2833//2833\nf 4434//4434 1819//1819 4465//4465\nf 4302//4302 210//210 4912//4912\nf 4434//4434 2833//2833 3032//3032\nf 399//399 289//289 4546//4546\nf 4527//4527 2897//2897 457//457\nf 2897//2897 355//355 457//457\nf 2034//2034 4576//4576 884//884\nf 2005//2005 1956//1956 21//21\nf 4160//4160 4687//4687 2330//2330\nf 4160//4160 4344//4344 4687//4687\nf 4864//4864 4891//4891 5060//5060\nf 4558//4558 4576//4576 2034//2034\nf 502//502 441//441 4512//4512\nf 4685//4685 211//211 4291//4291\nf 4453//4453 211//211 1627//1627\nf 4512//4512 4402//4402 502//502\nf 5053//5053 4733//4733 441//441\nf 4351//4351 4452//4452 4427//4427\nf 4291//4291 211//211 515//515\nf 4917//4917 4773//4773 203//203\nf 4507//4507 4464//4464 4873//4873\nf 4727//4727 3202//3202 23//23\nf 4813//4813 288//288 4931//4931\nf 1466//1466 487//487 3023//3023\nf 1466//1466 4380//4380 1457//1457\nf 4380//4380 346//346 1457//1457\nf 108//108 273//273 236//236\nf 4434//4434 3032//3032 1521//1521\nf 1755//1755 4488//4488 457//457\nf 519//519 2902//2902 316//316\nf 4462//4462 259//259 2008//2008\nf 2064//2064 5168//5168 551//551\nf 4462//4462 260//260 259//259\nf 316//316 5085//5085 26//26\nf 4462//4462 456//456 4445//4445\nf 1583//1583 4574//4574 456//456\nf 456//456 4574//4574 3117//3117\nf 50//50 4857//4857 4482//4482\nf 99//99 249//249 4783//4783\nf 2364//2364 5155//5155 468//468\nf 2364//2364 4462//4462 4445//4445\nf 483//483 752//752 647//647\nf 4381//4381 519//519 2696//2696\nf 2364//2364 260//260 4462//4462\nf 460//460 518//518 447//447\nf 4346//4346 565//565 4872//4872\nf 643//643 644//644 645//645\nf 4294//4294 4349//4349 2356//2356\nf 4335//4335 4372//4372 518//518\nf 4349//4349 4294//4294 536//536\nf 2356//2356 460//460 4294//4294\nf 4335//4335 518//518 433//433\nf 235//235 49//49 184//184\nf 4296//4296 4372//4372 4175//4175\nf 4175//4175 680//680 481//481\nf 443//443 680//680 4352//4352\nf 5044//5044 4515//4515 371//371\nf 4496//4496 4091//4091 514//514\nf 454//454 4900//4900 319//319\nf 2070//2070 4170//4170 3960//3960\nf 454//454 4515//4515 4900//4900\nf 4592//4592 4486//4486 333//333\nf 2952//2952 4295//4295 537//537\nf 385//385 4563//4563 1897//1897\nf 5084//5084 5211//5211 2053//2053\nf 385//385 4538//4538 4563//4563\nf 4535//4535 1845//1845 1846//1846\nf 410//410 4563//4563 8//8\nf 410//410 4295//4295 3121//3121\nf 4198//4198 2789//2789 4169//4169\nf 705//705 4034//4034 4345//4345\nf 4697//4697 4792//4792 4897//4897\nf 2013//2013 5009//5009 4158//4158\nf 698//698 4105//4105 4463//4463\nf 4587//4587 461//461 1845//1845\nf 2187//2187 947//947 2023//2023\nf 5947//5947 6043//6043 5388//5388\nf 4767//4767 168//168 3069//3069\nf 2189//2189 513//513 2226//2226\nf 4356//4356 509//509 2612//2612\nf 4921//4921 3980//3980 876//876\nf 1687//1687 422//422 876//876\nf 1837//1837 1900//1900 2492//2492\nf 3961//3961 4598//4598 68//68\nf 4870//4870 57//57 4779//4779\nf 4034//4034 700//700 4091//4091\nf 1845//1845 4535//4535 4587//4587\nf 4345//4345 2188//2188 4045//4045\nf 526//526 4593//4593 11//11\nf 4234//4234 4295//4295 410//410\nf 4422//4422 5129//5129 461//461\nf 526//526 4594//4594 4593//4593\nf 705//705 700//700 4034//4034\nf 2354//2354 4174//4174 4024//4024\nf 4228//4228 2350//2350 322//322\nf 1831//1831 4422//4422 2600//2600\nf 4164//4164 743//743 3422//3422\nf 513//513 4103//4103 2226//2226\nf 2277//2277 5846//5846 4032//4032\nf 534//534 3674//3674 572//572\nf 4165//4165 534//534 572//572\nf 1474//1474 4027//4027 831//831\nf 570//570 4165//4165 4107//4107\nf 3965//3965 799//799 1479//1479\nf 4940//4940 4623//4623 4598//4598\nf 2592//2592 4567//4567 4623//4623\nf 2763//2763 4567//4567 2592//2592\nf 35//35 3983//3983 3961//3961\nf 513//513 4383//4383 4103//4103\nf 4159//4159 714//714 4383//4383\nf 200//200 1878//1878 2677//2677\nf 2612//2612 509//509 35//35\nf 4596//4596 82//82 4624//4624\nf 498//498 5012//5012 2413//2413\nf 414//414 452//452 362//362\nf 3980//3980 4504//4504 4387//4387\nf 1992//1992 401//401 4505//4505\nf 4807//4807 96//96 4431//4431\nf 404//404 912//912 630//630\nf 494//494 711//711 1540//1540\nf 277//277 5099//5099 4505//4505\nf 2531//2531 444//444 4168//4168\nf 819//819 702//702 2292//2292\nf 734//734 4396//4396 3120//3120\nf 2443//2443 577//577 4297//4297\nf 4856//4856 4661//4661 5072//5072\nf 477//477 2816//2816 4456//4456\nf 4856//4856 524//524 4661//4661\nf 5072//5072 521//521 4856//4856\nf 4936//4936 1967//1967 4461//4461\nf 4248//4248 442//442 4856//4856\nf 4433//4433 4396//4396 404//404\nf 283//283 4936//4936 4461//4461\nf 1991//1991 5100//5100 4236//4236\nf 767//767 4396//4396 734//734\nf 3208//3208 30//30 4617//4617\nf 767//767 912//912 404//404\nf 629//629 1992//1992 2725//2725\nf 4431//4431 403//403 402//402\nf 2413//2413 4431//4431 402//402\nf 4245//4245 365//365 630//630\nf 400//400 691//691 276//276\nf 4498//4498 733//733 1992//1992\nf 4504//4504 411//411 277//277\nf 1066//1066 626//626 2813//2813\nf 4498//4498 1992//1992 4505//4505\nf 421//421 4415//4415 4413//4413\nf 2718//2718 5214//5214 4317//4317\nf 301//301 4428//4428 2337//2337\nf 4428//4428 2217//2217 2337//2337\nf 4959//4959 4724//4724 16//16\nf 4456//4456 3953//3953 523//523\nf 4456//4456 2816//2816 3953//3953\nf 16//16 4432//4432 4951//4951\nf 4741//4741 4795//4795 4724//4724\nf 2320//2320 4307//4307 4413//4413\nf 4432//4432 2320//2320 4951//4951\nf 16//16 143//143 4432//4432\nf 4398//4398 4371//4371 527//527\nf 253//253 2041//2041 4359//4359\nf 510//510 2041//2041 4371//4371\nf 5171//5171 3660//3660 4319//4319\nf 3660//3660 3659//3659 4177//4177\nf 3188//3188 2041//2041 510//510\nf 4568//4568 4529//4529 37//37\nf 2041//2041 4337//4337 4359//4359\nf 4491//4491 4815//4815 4753//4753\nf 4286//4286 440//440 2342//2342\nf 2041//2041 253//253 4371//4371\nf 4508//4508 17//17 4542//4542\nf 4430//4430 3337//3337 628//628\nf 176//176 4395//4395 4696//4696\nf 4542//4542 4908//4908 4586//4586\nf 4395//4395 176//176 4332//4332\nf 4542//4542 327//327 4908//4908\nf 4177//4177 4176//4176 574//574\nf 4467//4467 2342//2342 4332//4332\nf 4529//4529 4803//4803 4491//4491\nf 440//440 4286//4286 3659//3659\nf 4176//4176 1588//1588 3196//3196\nf 624//624 599//599 522//522\nf 669//669 617//617 5144//5144\nf 4430//4430 4757//4757 4571//4571\nf 3274//3274 4447//4447 624//624\nf 2340//2340 2317//2317 4981//4981\nf 506//506 473//473 1379//1379\nf 284//284 4902//4902 189//189\nf 4430//4430 4981//4981 4757//4757\nf 4920//4920 4532//4532 4693//4693\nf 506//506 1438//1438 318//318\nf 1356//1356 1438//1438 506//506\nf 489//489 545//545 4102//4102\nf 540//540 4011//4011 4315//4315\nf 3169//3169 4173//4173 4287//4287\nf 300//300 1974//1974 616//616\nf 636//636 4189//4189 2321//2321\nf 4590//4590 453//453 3142//3142\nf 3449//3449 4540//4540 4509//4509\nf 4244//4244 4590//4590 3142//3142\nf 100//100 4756//4756 4905//4905\nf 560//560 3453//3453 412//412\nf 4468//4468 353//353 3449//3449\nf 4846//4846 4540//4540 4595//4595\nf 126//126 439//439 186//186\nf 2423//2423 768//768 4114//4114\nf 4353//4353 4114//4114 686//686\nf 4796//4796 9//9 596//596\nf 5086//5086 4752//4752 3448//3448\nf 806//806 2377//2377 3811//3811\nf 4082//4082 2031//2031 838//838\nf 754//754 2378//2378 4156//4156\nf 1325//1325 2018//2018 4605//4605\nf 4580//4580 3223//3223 1728//1728\nf 754//754 555//555 2378//2378\nf 4156//4156 2378//2378 4336//4336\nf 4185//4185 4651//4651 3385//3385\nf 4421//4421 2017//2017 1933//1933\nf 4658//4658 3487//3487 4738//4738\nf 2740//2740 2017//2017 4421//4421\nf 1173//1173 4964//4964 4216//4216\nf 2745//2745 225//225 5065//5065\nf 2//2 4152//4152 222//222\nf 1728//1728 36//36 4904//4904\nf 1933//1933 4580//4580 4421//4421\nf 836//836 15//15 4988//4988\nf 103//103 4086//4086 133//133\nf 4044//4044 4043//4043 538//538\nf 4232//4232 2022//2022 90//90\nf 2022//2022 4310//4310 90//90\nf 451//451 4911//4911 5052//5052\nf 5065//5065 4660//4660 315//315\nf 488//488 4602//4602 4492//4492\nf 4043//4043 2016//2016 538//538\nf 2037//2037 4378//4378 2326//2326\nf 2037//2037 25//25 80//80\nf 361//361 291//291 139//139\nf 142//142 4740//4740 139//139\nf 142//142 15//15 4740//4740\nf 25//25 4649//4649 80//80\nf 20//20 1321//1321 3178//3178\nf 4451//4451 4373//4373 406//406\nf 582//582 5192//5192 659//659\nf 105//105 4759//4759 5060//5060\nf 4426//4426 413//413 3024//3024\nf 778//778 710//710 4026//4026\nf 580//580 4344//4344 4021//4021\nf 4864//4864 5060//5060 4635//4635\nf 4864//4864 4811//4811 4865//4865\nf 4881//4881 4760//4760 132//132\nf 437//437 4886//4886 51//51\nf 4478//4478 27//27 2704//2704\nf 5093//5093 75//75 482//482\nf 640//640 4536//4536 3024//3024\nf 2490//2490 4426//4426 4536//4536\nf 346//346 4419//4419 4655//4655\nf 399//399 4546//4546 4797//4797\nf 2913//2913 4357//4357 4402//4402\nf 4733//4733 171//171 4471//4471\nf 4912//4912 210//210 289//289\nf 132//132 4760//4760 1849//1849\nf 3023//3023 1755//1755 5155//5155\nf 4357//4357 474//474 4351//4351\nf 21//21 1956//1956 4465//4465\nf 5060//5060 4891//4891 4800//4800\nf 234//234 72//72 4635//4635\nf 4759//4759 4635//4635 5060//5060\nf 2832//2832 4417//4417 486//486\nf 4474//4474 4809//4809 4734//4734\nf 4620//4620 132//132 1849//1849\nf 4733//4733 4474//4474 4734//4734\nf 398//398 4543//4543 260//260\nf 502//502 5053//5053 441//441\nf 502//502 4357//4357 4351//4351\nf 4402//4402 309//309 4938//4938\nf 170//170 4312//4312 4832//4832\nf 486//486 4465//4465 490//490\nf 4312//4312 4668//4668 4873//4873\nf 502//502 4402//4402 4357//4357\nf 4734//4734 69//69 4579//4579\nf 211//211 4685//4685 1627//1627\nf 564//564 4924//4924 2549//2549\nf 4924//4924 4615//4615 38//38\nf 4830//4830 5053//5053 4427//4427\nf 4444//4444 4424//4424 2549//2549\nf 303//303 4732//4732 4790//4790\nf 91//91 4670//4670 4782//4782\nf 4507//4507 4424//4424 4444//4444\nf 4423//4423 4380//4380 1466//1466\nf 5155//5155 1755//1755 468//468\nf 3176//3176 4423//4423 3117//3117\nf 260//260 4543//4543 5085//5085\nf 5078//5078 4727//4727 4744//4744\nf 108//108 4645//4645 273//273\nf 1755//1755 487//487 4417//4417\nf 487//487 2833//2833 4417//4417\nf 4464//4464 4444//4444 38//38\nf 4488//4488 4527//4527 457//457\nf 3023//3023 4423//4423 1466//1466\nf 3176//3176 4375//4375 1471//1471\nf 512//512 578//578 5184//5184\nf 456//456 4462//4462 2008//2008\nf 23//23 4813//4813 4931//4931\nf 2954//2954 299//299 2391//2391\nf 578//578 4094//4094 709//709\nf 511//511 645//645 644//644\nf 4349//4349 511//511 4346//4346\nf 416//416 4748//4748 377//377\nf 511//511 565//565 4346//4346\nf 460//460 4184//4184 433//433\nf 5090//5090 2381//2381 2799//2799\nf 4440//4440 4834//4834 61//61\nf 4346//4346 2318//2318 2356//2356\nf 2053//2053 5044//5044 5084//5084\nf 2799//2799 2381//2381 433//433\nf 2250//2250 481//481 4207//4207\nf 4405//4405 417//417 5211//5211\nf 2250//2250 4175//4175 481//481\nf 454//454 2054//2054 508//508\nf 4388//4388 2788//2788 4203//4203\nf 508//508 2952//2952 1516//1516\nf 85//85 49//49 46//46\nf 319//319 1897//1897 2054//2054\nf 4900//4900 4515//4515 5044//5044\nf 81//81 4746//4746 184//184\nf 4746//4746 235//235 184//184\nf 4034//4034 1846//1846 4345//4345\nf 332//332 4853//4853 4871//4871\nf 4126//4126 4288//4288 3804//3804\nf 4126//4126 4198//4198 4288//4288\nf 4871//4871 57//57 332//332\nf 57//57 4880//4880 4779//4779\nf 57//57 138//138 4880//4880\nf 537//537 1516//1516 2952//2952\nf 4870//4870 188//188 57//57\nf 4764//4764 4974//4974 4928//4928\nf 8//8 4852//4852 4528//4528\nf 4852//4852 181//181 4528//4528\nf 698//698 2047//2047 4345//4345\nf 3821//3821 5145//5145 3999//3999\nf 336//336 3961//3961 68//68\nf 4301//4301 2531//2531 4168//4168\nf 230//230 231//231 336//336\nf 2048//2048 444//444 4390//4390\nf 448//448 1687//1687 876//876\nf 4764//4764 4928//4928 174//174\nf 526//526 4933//4933 4594//4594\nf 4535//4535 4496//4496 4587//4587\nf 4535//4535 4091//4091 4496//4496\nf 2918//2918 11//11 297//297\nf 168//168 165//165 77//77\nf 4022//4022 3958//3958 4097//4097\nf 223//223 2763//2763 418//418\nf 4927//4927 418//418 2667//2667\nf 2763//2763 455//455 418//418\nf 4228//4228 2729//2729 455//455\nf 4927//4927 223//223 418//418\nf 4140//4140 4129//4129 5137//5137\nf 619//619 4200//4200 1479//1479\nf 714//714 445//445 3885//3885\nf 4577//4577 4573//4573 4721//4721\nf 227//227 452//452 3980//3980\nf 4061//4061 835//835 4188//4188\nf 2711//2711 2741//2741 1713//1713\nf 278//278 227//227 4551//4551\nf 3980//3980 452//452 4504//4504\nf 362//362 4650//4650 414//414\nf 4504//4504 4505//4505 4387//4387\nf 414//414 411//411 452//452\nf 278//278 4551//4551 4860//4860\nf 4681//4681 691//691 400//400\nf 325//325 733//733 4498//4498\nf 325//325 4807//4807 4431//4431\nf 4644//4644 3214//3214 4712//4712\nf 691//691 198//198 1353//1353\nf 4654//4654 32//32 53//53\nf 4878//4878 4688//4688 247//247\nf 230//230 2499//2499 280//280\nf 3208//3208 63//63 4560//4560\nf 2655//2655 2553//2553 2688//2688\nf 4802//4802 96//96 397//397\nf 2045//2045 1067//1067 5128//5128\nf 403//403 4787//4787 4591//4591\nf 4246//4246 2059//2059 5127//5127\nf 422//422 4541//4541 4939//4939\nf 365//365 4511//4511 524//524\nf 5072//5072 205//205 4739//4739\nf 5072//5072 217//217 205//205\nf 217//217 4786//4786 205//205\nf 4040//4040 568//568 4179//4179\nf 4786//4786 63//63 4785//4785\nf 217//217 104//104 63//63\nf 404//404 524//524 4433//4433\nf 197//197 4802//4802 4854//4854\nf 1991//1991 3089//3089 3697//3697\nf 1400//1400 3931//3931 734//734\nf 4505//4505 4504//4504 277//277\nf 4951//4951 2400//2400 2798//2798\nf 4307//4307 3352//3352 4413//4413\nf 3402//3402 3375//3375 2498//2498\nf 2039//2039 2130//2130 625//625\nf 478//478 2039//2039 4589//4589\nf 478//478 4589//4589 282//282\nf 2718//2718 4317//4317 4187//4187\nf 282//282 4795//4795 4741//4741\nf 421//421 2781//2781 4415//4415\nf 3880//3880 4392//4392 3799//3799\nf 2901//2901 4646//4646 305//305\nf 4884//4884 4761//4761 307//307\nf 3880//3880 143//143 301//301\nf 1//1 4967//4967 137//137\nf 1037//1037 642//642 3188//3188\nf 1//1 407//407 4942//4942\nf 107//107 183//183 327//327\nf 407//407 478//478 4942//4942\nf 387//387 4568//4568 253//253\nf 17//17 4508//4508 527//527\nf 5205//5205 4265//4265 4888//4888\nf 5205//5205 809//809 4265//4265\nf 37//37 107//107 17//17\nf 4550//4550 4910//4910 121//121\nf 2015//2015 5124//5124 4398//4398\nf 3337//3337 4397//4397 5043//5043\nf 4542//4542 107//107 327//327\nf 2353//2353 2340//2340 4238//4238\nf 4569//4569 478//478 407//407\nf 2015//2015 4398//4398 4395//4395\nf 5055//5055 473//473 506//506\nf 4874//4874 479//479 294//294\nf 4981//4981 628//628 2340//2340\nf 4981//4981 4430//4430 628//628\nf 4636//4636 255//255 4713//4713\nf 4686//4686 4636//4636 4713//4713\nf 5055//5055 4902//4902 4686//4686\nf 189//189 4757//4757 463//463\nf 364//364 4693//4693 4532//4532\nf 364//364 226//226 4950//4950\nf 318//318 4571//4571 4634//4634\nf 1379//1379 1357//1357 1356//1356\nf 506//506 318//318 5055//5055\nf 4173//4173 1945//1945 1765//1765\nf 4287//4287 1969//1969 3169//3169\nf 4920//4920 71//71 4756//4756\nf 4902//4902 4634//4634 189//189\nf 545//545 4564//4564 4102//4102\nf 4564//4564 4755//4755 321//321\nf 300//300 4369//4369 4316//4316\nf 4923//4923 4540//4540 5026//5026\nf 560//560 226//226 4958//4958\nf 226//226 100//100 4958//4958\nf 4532//4532 100//100 226//226\nf 4540//4540 4923//4923 4595//4595\nf 4682//4682 180//180 192//192\nf 4905//4905 5074//5074 4758//4758\nf 5087//5087 14//14 2445//2445\nf 2026//2026 4313//4313 3448//3448\nf 353//353 3453//3453 5026//5026\nf 5027//5027 4470//4470 2969//2969\nf 4758//4758 106//106 180//180\nf 4682//4682 192//192 145//145\nf 4816//4816 4608//4608 186//186\nf 4311//4311 3229//3229 4509//4509\nf 4311//4311 359//359 5086//5086\nf 45//45 4752//4752 5086//5086\nf 229//229 2339//2339 3448//3448\nf 4311//4311 4509//4509 359//359\nf 359//359 45//45 5086//5086\nf 267//267 5189//5189 4683//4683\nf 806//806 344//344 4114//4114\nf 225//225 2745//2745 4904//4904\nf 225//225 218//218 5065//5065\nf 4113//4113 2467//2467 1554//1554\nf 3448//3448 4752//4752 229//229\nf 4752//4752 4657//4657 229//229\nf 225//225 4659//4659 218//218\nf 2969//2969 2419//2419 1198//1198\nf 1173//1173 1174//1174 4964//4964\nf 5079//5079 4659//4659 123//123\nf 4698//4698 2508//2508 4964//4964\nf 315//315 1818//1818 5065//5065\nf 186//186 4608//4608 126//126\nf 4882//4882 133//133 4965//4965\nf 363//363 4935//4935 4602//4602\nf 538//538 4605//4605 2884//2884\nf 4613//4613 4707//4707 4660//4660\nf 2884//2884 2018//2018 4500//4500\nf 836//836 389//389 834//834\nf 2745//2745 5065//5065 1818//1818\nf 4662//4662 290//290 4545//4545\nf 271//271 1818//1818 315//315\nf 4459//4459 271//271 18//18\nf 2030//2030 1507//1507 2272//2272\nf 4660//4660 4662//4662 315//315\nf 18//18 4603//4603 4459//4459\nf 4310//4310 1488//1488 3081//3081\nf 4310//4310 1489//1489 3082//3082\nf 2367//2367 4451//4451 406//406\nf 4451//4451 4384//4384 4389//4389\nf 482//482 2367//2367 5093//5093\nf 4978//4978 3698//3698 4//4\nf 496//496 520//520 2330//2330\nf 4389//4389 287//287 2987//2987\nf 4969//4969 4684//4684 437//437\nf 3178//3178 3024//3024 413//413\nf 210//210 4968//4968 311//311\nf 3032//3032 346//346 4656//4656\nf 4635//4635 72//72 4864//4864\nf 2366//2366 1703//1703 640//640\nf 2704//2704 166//166 4881//4881\nf 438//438 4684//4684 4969//4969\nf 3023//3023 4445//4445 4423//4423\nf 1521//1521 529//529 1703//1703\nf 4619//4619 350//350 564//564\nf 4607//4607 4841//4841 75//75\nf 28//28 4641//4641 234//234\nf 520//520 4393//4393 2330//2330\nf 122//122 199//199 4673//4673\nf 122//122 3635//3635 199//199\nf 310//310 309//309 396//396\nf 122//122 4673//4673 160//160\nf 309//309 4828//4828 4938//4938\nf 4715//4715 396//396 4471//4471\nf 4873//4873 469//469 4507//4507\nf 38//38 4444//4444 4924//4924\nf 4837//4837 4745//4745 4521//4521\nf 4837//4837 4521//4521 5081//5081\nf 304//304 4925//4925 4828//4828\nf 4917//4917 4926//4926 4773//4773\nf 261//261 158//158 4667//4667\nf 334//334 4530//4530 4582//4582\nf 4521//4521 167//167 303//303\nf 4718//4718 4645//4645 4668//4668\nf 4521//4521 4745//4745 167//167\nf 4645//4645 108//108 4972//4972\nf 273//273 224//224 237//237\nf 4727//4727 5078//5078 237//237\nf 4488//4488 337//337 4527//4527\nf 23//23 4931//4931 5062//5062\nf 26//26 249//249 2808//2808\nf 578//578 709//709 4341//4341\nf 236//236 237//237 5078//5078\nf 99//99 4744//4744 4851//4851\nf 565//565 695//695 2696//2696\nf 511//511 644//644 695//695\nf 4929//4929 4527//4527 4576//4576\nf 4744//4744 4727//4727 23//23\nf 5139//5139 2696//2696 458//458\nf 2054//2054 2952//2952 508//508\nf 709//709 1953//1953 750//750\nf 410//410 5118//5118 514//514\nf 4562//4562 373//373 4481//4481\nf 4405//4405 4898//4898 417//417\nf 4405//4405 2381//2381 4898//4898\nf 46//46 4849//4849 187//187\nf 46//46 4481//4481 4849//4849\nf 4405//4405 5211//5211 5084//5084\nf 4350//4350 443//443 573//573\nf 4350//4350 4515//4515 4388//4388\nf 49//49 85//85 184//184\nf 4184//4184 2356//2356 2318//2318\nf 4034//4034 4091//4091 4535//4535\nf 119//119 3039//3039 5059//5059\nf 5129//5129 4105//4105 698//698\nf 4024//4024 4174//4174 4234//4234\nf 4852//4852 182//182 4897//4897\nf 4412//4412 5118//5118 4853//4853\nf 8//8 4538//4538 4852//4852\nf 4974//4974 3557//3557 4671//4671\nf 2726//2726 4460//4460 4534//4534\nf 175//175 296//296 138//138\nf 4594//4594 4933//4933 4581//4581\nf 4594//4594 4581//4581 4726//4726\nf 2532//2532 4541//4541 4390//4390\nf 4584//4584 3885//3885 4940//4940\nf 336//336 4443//4443 35//35\nf 165//165 4639//4639 297//297\nf 2592//2592 455//455 2763//2763\nf 336//336 68//68 230//230\nf 4939//4939 12//12 4921//4921\nf 1988//1988 1623//1623 2867//2867\nf 4860//4860 125//125 278//278\nf 4860//4860 12//12 5163//5163\nf 4354//4354 4443//4443 2532//2532\nf 4354//4354 2532//2532 444//444\nf 4726//4726 4764//4764 150//150\nf 4726//4726 4779//4779 4764//4764\nf 4581//4581 4779//4779 4726//4726\nf 4764//4764 174//174 150//150\nf 279//279 4870//4870 29//29\nf 714//714 4159//4159 4107//4107\nf 4848//4848 4561//4561 4721//4721\nf 4639//4639 4525//4525 223//223\nf 4639//4639 168//168 4525//4525\nf 93//93 3069//3069 4632//4632\nf 4567//4567 223//223 4525//4525\nf 445//445 4228//4228 455//455\nf 513//513 2189//2189 2161//2161\nf 418//418 2729//2729 2667//2667\nf 4305//4305 4061//4061 532//532\nf 4305//4305 2725//2725 5176//5176\nf 4944//4944 690//690 242//242\nf 690//690 411//411 4494//4494\nf 278//278 362//362 227//227\nf 2725//2725 733//733 674//674\nf 78//78 4859//4859 83//83\nf 4859//4859 4650//4650 362//362\nf 4812//4812 4771//4771 295//295\nf 32//32 4812//4812 53//53\nf 2388//2388 3205//3205 1495//1495\nf 5092//5092 4494//4494 276//276\nf 4617//4617 30//30 4604//4604\nf 4553//4553 130//130 242//242\nf 4480//4480 250//250 248//248\nf 414//414 4650//4650 276//276\nf 4504//4504 452//452 411//411\nf 4688//4688 4547//4547 4441//4441\nf 2725//2725 674//674 5176//5176\nf 4787//4787 4802//4802 197//197\nf 4787//4787 96//96 4802//4802\nf 2312//2312 4355//4355 4370//4370\nf 4943//4943 30//30 3208//3208\nf 4802//4802 130//130 4854//4854\nf 4822//4822 4516//4516 4774//4774\nf 4854//4854 130//130 302//302\nf 4817//4817 5080//5080 4805//4805\nf 521//521 5072//5072 4739//4739\nf 4786//4786 47//47 205//205\nf 4560//4560 4450//4450 197//197\nf 4553//4553 4866//4866 302//302\nf 4560//4560 349//349 4450//4450\nf 4936//4936 283//283 4537//4537\nf 4591//4591 4787//4787 4450//4450\nf 3120//3120 1400//1400 734//734\nf 733//733 2725//2725 1992//1992\nf 4787//4787 197//197 4450//4450\nf 4850//4850 4835//4835 4741//4741\nf 301//301 281//281 2243//2243\nf 47//47 4785//4785 4915//4915\nf 4510//4510 1701//1701 436//436\nf 625//625 4428//4428 2243//2243\nf 2039//2039 2257//2257 2130//2130\nf 4977//4977 4510//4510 436//436\nf 283//283 521//521 4739//4739\nf 143//143 281//281 301//301\nf 4248//4248 4856//4856 521//521\nf 4967//4967 1//1 4942//4942\nf 4817//4817 434//434 5080//5080\nf 434//434 436//436 354//354\nf 4040//4040 2432//2432 568//568\nf 2901//2901 4778//4778 4646//4646\nf 4936//4936 4537//4537 2400//2400\nf 47//47 4915//4915 324//324\nf 30//30 4774//4774 4604//4604\nf 143//143 4307//4307 4432//4432\nf 143//143 3880//3880 4307//4307\nf 4888//4888 4265//4265 4714//4714\nf 375//375 4815//4815 4491//4491\nf 4568//4568 527//527 253//253\nf 809//809 425//425 4265//4265\nf 4569//4569 4359//4359 2257//2257\nf 4569//4569 387//387 4359//4359\nf 375//375 4803//4803 1//1\nf 375//375 4491//4491 4803//4803\nf 4913//4913 109//109 327//327\nf 17//17 4568//4568 37//37\nf 4815//4815 92//92 4753//4753\nf 4569//4569 2039//2039 478//478\nf 4753//4753 37//37 4491//4491\nf 4769//4769 4570//4570 4903//4903\nf 37//37 4529//4529 4491//4491\nf 4874//4874 4570//4570 4769//4769\nf 479//479 463//463 2317//2317\nf 4332//4332 2015//2015 4395//4395\nf 4550//4550 121//121 4784//4784\nf 479//479 2317//2317 294//294\nf 2353//2353 2317//2317 2340//2340\nf 4855//4855 4706//4706 470//470\nf 387//387 4569//4569 407//407\nf 124//124 809//809 5205//5205\nf 4337//4337 2041//2041 3188//3188\nf 4902//4902 5055//5055 318//318\nf 4571//4571 4757//4757 4634//4634\nf 4713//4713 255//255 545//545\nf 4950//4950 226//226 560//560\nf 189//189 4634//4634 4757//4757\nf 4637//4637 4693//4693 4755//4755\nf 4696//4696 4586//4586 4903//4903\nf 3580//3580 3724//3724 450//450\nf 4436//4436 412//412 3453//3453\nf 284//284 4711//4711 4728//4728\nf 4637//4637 4755//4755 255//255\nf 545//545 255//255 4564//4564\nf 2342//2342 4467//4467 294//294\nf 4509//4509 3229//3229 3449//3449\nf 545//545 489//489 473//473\nf 4920//4920 4756//4756 4532//4532\nf 4693//4693 4637//4637 4920//4920\nf 4379//4379 3726//3726 1199//1199\nf 4509//4509 4540//4540 4846//4846\nf 100//100 4905//4905 2445//2445\nf 5161//5161 606//606 106//106\nf 14//14 4958//4958 2445//2445\nf 267//267 4657//4657 4690//4690\nf 4436//4436 3453//3453 4379//4379\nf 4890//4890 4796//4796 4690//4690\nf 5087//5087 4682//4682 1411//1411\nf 4923//4923 5026//5026 1825//1825\nf 1411//1411 4923//4923 5087//5087\nf 4799//4799 4595//4595 1411//1411\nf 4601//4601 4890//4890 4539//4539\nf 4648//4648 215//215 216//216\nf 4601//4601 4914//4914 4890//4890\nf 543//543 2561//2561 2566//2566\nf 5069//5069 4483//4483 4614//4614\nf 5086//5086 4313//4313 4311//4311\nf 4983//4983 1711//1711 5069//5069\nf 344//344 806//806 4876//4876\nf 569//569 2423//2423 4353//4353\nf 4890//4890 9//9 4796//4796\nf 4752//4752 4539//4539 4690//4690\nf 4657//4657 352//352 229//229\nf 2026//2026 449//449 3062//3062\nf 754//754 4156//4156 716//716\nf 3062//3062 4313//4313 2026//2026\nf 2508//2508 1621//1621 4964//4964\nf 225//225 58//58 4659//4659\nf 678//678 2272//2272 653//653\nf 58//58 225//225 4904//4904\nf 2339//2339 229//229 4544//4544\nf 4955//4955 18//18 271//271\nf 4955//4955 363//363 4602//4602\nf 4545//4545 290//290 4882//4882\nf 36//36 4843//4843 186//186\nf 4882//4882 291//291 270//270\nf 4956//4956 2258//2258 39//39\nf 4490//4490 1728//1728 3223//3223\nf 2467//2467 4469//4469 3223//3223\nf 4580//4580 4904//4904 2745//2745\nf 4459//4459 4603//4603 4500//4500\nf 4904//4904 439//439 58//58\nf 389//389 1891//1891 834//834\nf 2036//2036 3082//3082 5052//5052\nf 103//103 4707//4707 4613//4613\nf 3082//3082 1489//1489 5052//5052\nf 270//270 363//363 4545//4545\nf 488//488 4399//4399 4603//4603\nf 2018//2018 4459//4459 4500//4500\nf 5052//5052 1489//1489 451//451\nf 2331//2331 488//488 4492//4492\nf 3273//3273 2036//2036 39//39\nf 4205//4205 4446//4446 4260//4260\nf 291//291 4882//4882 4965//4965\nf 4839//4839 65//65 5088//5088\nf 4839//4839 4740//4740 821//821\nf 4793//4793 5082//5082 56//56\nf 270//270 4545//4545 4882//4882\nf 451//451 2331//2331 4492//4492\nf 451//451 1489//1489 2331//2331\nf 3896//3896 1636//1636 2692//2692\nf 110//110 4956//4956 4700//4700\nf 1489//1489 3081//3081 2331//2331\nf 112//112 4641//4641 56//56\nf 4700//4700 5088//5088 4793//4793\nf 39//39 4844//4844 4956//4956\nf 4684//4684 24//24 4886//4886\nf 4830//4830 4514//4514 4475//4475\nf 505//505 3635//3635 4391//4391\nf 4536//4536 287//287 2490//2490\nf 4389//4389 4384//4384 2490//2490\nf 24//24 4971//4971 157//157\nf 4607//4607 75//75 28//28\nf 4971//4971 438//438 4970//4970\nf 4427//4427 5053//5053 502//502\nf 312//312 4635//4635 4759//4759\nf 4425//4425 4452//4452 4912//4912\nf 210//210 2005//2005 4968//4968\nf 40//40 1152//1152 7//7\nf 471//471 3772//3772 40//40\nf 3178//3178 1321//1321 3123//3123\nf 3698//3698 4791//4791 4811//4811\nf 72//72 4811//4811 4864//4864\nf 4475//4475 4514//4514 4731//4731\nf 4731//4731 4797//4797 132//132\nf 118//118 4715//4715 196//196\nf 5046//5046 266//266 4760//4760\nf 5046//5046 7//7 266//266\nf 7//7 254//254 266//266\nf 4514//4514 4797//4797 4731//4731\nf 441//441 4733//4733 4471//4471\nf 4523//4523 4772//4772 196//196\nf 118//118 4679//4679 310//310\nf 4523//4523 4715//4715 171//171\nf 5053//5053 4474//4474 4733//4733\nf 69//69 4391//4391 122//122\nf 4715//4715 118//118 396//396\nf 4734//4734 4579//4579 171//171\nf 4828//4828 310//310 304//304\nf 147//147 4925//4925 304//304\nf 4820//4820 4627//4627 38//38\nf 303//303 4801//4801 170//170\nf 204//204 4762//4762 4630//4630\nf 4801//4801 91//91 4782//4782\nf 4312//4312 170//170 4781//4781\nf 304//304 310//310 4679//4679\nf 171//171 4579//4579 4523//4523\nf 4471//4471 171//171 4715//4715\nf 4667//4667 158//158 2993//2993\nf 4420//4420 515//515 2913//2913\nf 155//155 1802//1802 4709//4709\nf 350//350 4619//4619 4938//4938\nf 303//303 167//167 4801//4801\nf 4668//4668 4645//4645 4972//4972\nf 4312//4312 4781//4781 4718//4718\nf 4790//4790 4521//4521 303//303\nf 4615//4615 147//147 5081//5081\nf 167//167 91//91 4801//4801\nf 4558//4558 2549//2549 4424//4424\nf 5078//5078 178//178 236//236\nf 249//249 244//244 2808//2808\nf 4744//4744 4783//4783 5078//5078\nf 4744//4744 99//99 4783//4783\nf 4527//4527 337//337 4576//4576\nf 23//23 3202//3202 4813//4813\nf 4872//4872 5139//5139 76//76\nf 275//275 4813//4813 3202//3202\nf 4633//4633 224//224 220//220\nf 275//275 237//237 224//224\nf 249//249 117//117 4783//4783\nf 117//117 178//178 4783//4783\nf 4872//4872 565//565 5139//5139\nf 4783//4783 178//178 5078//5078\nf 76//76 244//244 4440//4440\nf 237//237 275//275 4727//4727\nf 178//178 117//117 4543//4543\nf 117//117 249//249 26//26\nf 565//565 2696//2696 5139//5139\nf 4780//4780 4808//4808 4562//4562\nf 4744//4744 23//23 4851//4851\nf 4777//4777 48//48 4643//4643\nf 4748//4748 416//416 61//61\nf 579//579 2270//2270 593//593\nf 2808//2808 244//244 76//76\nf 4748//4748 61//61 159//159\nf 4400//4400 2318//2318 378//378\nf 518//518 4372//4372 447//447\nf 518//518 460//460 433//433\nf 377//377 4748//4748 4643//4643\nf 4562//4562 4808//4808 373//373\nf 5051//5051 4481//4481 129//129\nf 326//326 4643//4643 4918//4918\nf 48//48 4780//4780 4918//4918\nf 2053//2053 4592//4592 4949//4949\nf 5044//5044 371//371 5084//5084\nf 2054//2054 454//454 319//319\nf 4484//4484 4555//4555 4768//4768\nf 4350//4350 4388//4388 4203//4203\nf 4484//4484 4849//4849 4555//4555\nf 5068//5068 4937//4937 4885//4885\nf 85//85 41//41 4486//4486\nf 85//85 46//46 187//187\nf 2054//2054 3121//3121 2952//2952\nf 5068//5068 4885//4885 4747//4747\nf 4435//4435 4241//4241 4403//4403\nf 1846//1846 4034//4034 4535//4535\nf 514//514 4024//4024 4234//4234\nf 179//179 333//333 4885//4885\nf 4606//4606 3557//3557 296//296\nf 4671//4671 4628//4628 4827//4827\nf 175//175 4606//4606 296//296\nf 2538//2538 332//332 188//188\nf 4853//4853 4528//4528 4871//4871\nf 4723//4723 4559//4559 285//285\nf 4628//4628 1190//1190 79//79\nf 4726//4726 4887//4887 4594//4594\nf 214//214 70//70 4887//4887\nf 4764//4764 4779//4779 4974//4974\nf 5132//5132 4723//4723 285//285\nf 150//150 174//174 4899//4899\nf 214//214 4887//4887 150//150\nf 1640//1640 1866//1866 1852//1852\nf 2762//2762 2943//2943 3063//3063\nf 4973//4973 4831//4831 4919//4919\nf 2841//2841 4466//4466 1745//1745\nf 4829//4829 2677//2677 2721//2721\nf 4541//4541 2532//2532 231//231\nf 448//448 401//401 2730//2730\nf 4767//4767 4525//4525 168//168\nf 4921//4921 422//422 4939//4939\nf 208//208 4672//4672 67//67\nf 4672//4672 208//208 4524//4524\nf 4672//4672 4524//4524 4593//4593\nf 297//297 11//11 4524//4524\nf 297//297 4524//4524 165//165\nf 2350//2350 4165//4165 572//572\nf 708//708 4107//4107 4165//4165\nf 223//223 4567//4567 2763//2763\nf 223//223 4927//4927 4639//4639\nf 200//200 4893//4893 213//213\nf 4541//4541 422//422 4390//4390\nf 231//231 4443//4443 336//336\nf 212//212 200//200 213//213\nf 4883//4883 4812//4812 4878//4878\nf 4654//4654 213//213 163//163\nf 164//164 5163//5163 12//12\nf 4551//4551 227//227 4921//4921\nf 198//198 4681//4681 4441//4441\nf 4712//4712 3214//3214 1702//1702\nf 4812//4812 32//32 4771//4771\nf 4409//4409 4863//4863 386//386\nf 1702//1702 153//153 31//31\nf 295//295 386//386 4547//4547\nf 78//78 4883//4883 247//247\nf 198//198 691//691 4681//4681\nf 104//104 349//349 4560//4560\nf 242//242 130//130 397//397\nf 2338//2338 2442//2442 349//349\nf 2442//2442 4591//4591 349//349\nf 4431//4431 96//96 403//403\nf 4807//4807 325//325 5099//5099\nf 4943//4943 197//197 4854//4854\nf 140//140 4884//4884 4442//4442\nf 140//140 4761//4761 4884//4884\nf 4943//4943 4854//4854 4822//4822\nf 4854//4854 302//302 4822//4822\nf 217//217 4661//4661 104//104\nf 876//876 3980//3980 4387//4387\nf 242//242 690//690 191//191\nf 4806//4806 4689//4689 4850//4850\nf 4743//4743 4806//4806 4724//4724\nf 4805//4805 4967//4967 4835//4835\nf 4817//4817 4977//4977 434//434\nf 436//436 5067//5067 354//354\nf 4795//4795 2243//2243 281//281\nf 4805//4805 5080//5080 4967//4967\nf 3128//3128 3213//3213 1202//1202\nf 137//137 4815//4815 375//375\nf 5080//5080 124//124 137//137\nf 92//92 4888//4888 4124//4124\nf 809//809 116//116 425//425\nf 4714//4714 4265//4265 428//428\nf 4568//4568 17//17 527//527\nf 4815//4815 5205//5205 92//92\nf 429//429 88//88 428//428\nf 246//246 1780//1780 4858//4858\nf 4570//4570 4874//4874 294//294\nf 124//124 4815//4815 137//137\nf 1780//1780 620//620 314//314\nf 4769//4769 4910//4910 4550//4550\nf 5083//5083 59//59 233//233\nf 2807//2807 3028//3028 4669//4669\nf 3028//3028 1585//1585 4669//4669\nf 4769//4769 4903//4903 59//59\nf 318//318 1438//1438 4571//4571\nf 5083//5083 201//201 4916//4916\nf 5083//5083 5077//5077 201//201\nf 4629//4629 4975//4975 3125//3125\nf 111//111 189//189 463//463\nf 4916//4916 33//33 4910//4910\nf 4758//4758 180//180 4905//4905\nf 4728//4728 4636//4636 4686//4686\nf 111//111 463//463 479//479\nf 4755//4755 4693//4693 364//364\nf 4756//4756 5074//5074 4905//4905\nf 1411//1411 4595//4595 4923//4923\nf 4564//4564 255//255 4755//4755\nf 5210//5210 4952//4952 192//192\nf 5026//5026 4540//4540 3449//3449\nf 42//42 71//71 3125//3125\nf 5207//5207 4728//4728 4629//4629\nf 3173//3173 2837//2837 1420//1420\nf 14//14 5087//5087 4923//4923\nf 3125//3125 5207//5207 4629//4629\nf 5161//5161 172//172 606//606\nf 219//219 9//9 4735//4735\nf 596//596 2566//2566 4614//4614\nf 216//216 4701//4701 4648//4648\nf 4914//4914 9//9 4890//4890\nf 4648//4648 4742//4742 215//215\nf 4601//4601 4742//4742 4648//4648\nf 4601//4601 4539//4539 45//45\nf 229//229 352//352 4544//4544\nf 219//219 596//596 9//9\nf 4816//4816 5027//5027 4814//4814\nf 4614//4614 2566//2566 5069//5069\nf 2740//2740 271//271 4459//4459\nf 4904//4904 4580//4580 1728//1728\nf 4313//4313 5106//5106 4311//4311\nf 4698//4698 5002//5002 2508//2508\nf 4699//4699 4647//4647 3487//3487\nf 5002//5002 1490//1490 156//156\nf 1299//1299 2605//2605 2569//2569\nf 2111//2111 4665//4665 5334//5334\nf 394//394 156//156 2526//2526\nf 4608//4608 52//52 1173//1173\nf 123//123 4659//4659 209//209\nf 218//218 4660//4660 5065//5065\nf 4608//4608 1173//1173 4658//4658\nf 103//103 4613//4613 2//2\nf 270//270 291//291 361//361\nf 2974//2974 4473//4473 358//358\nf 218//218 4613//4613 4660//4660\nf 209//209 439//439 126//126\nf 123//123 4966//4966 5079//5079\nf 4911//4911 451//451 4492//4492\nf 4911//4911 4492//4492 4935//4935\nf 126//126 4658//4658 4738//4738\nf 4793//4793 5088//5088 65//65\nf 218//218 4659//4659 5079//5079\nf 4700//4700 4956//4956 361//361\nf 3896//3896 1105//1105 173//173\nf 5088//5088 4700//4700 139//139\nf 5082//5082 43//43 112//112\nf 287//287 4687//4687 2987//2987\nf 65//65 5082//5082 4793//4793\nf 4731//4731 4809//4809 4475//4475\nf 7//7 313//313 254//254\nf 4912//4912 399//399 4425//4425\nf 4620//4620 3//3 262//262\nf 4969//4969 1321//1321 20//20\nf 4865//4865 4891//4891 4864//4864\nf 3635//3635 505//505 3514//3514\nf 25//25 2258//2258 4649//4649\nf 4922//4922 3695//3695 3772//3772\nf 110//110 4793//4793 56//56\nf 496//496 2330//2330 4687//4687\nf 471//471 40//40 5046//5046\nf 3698//3698 4978//4978 3896//3896\nf 4452//4452 474//474 4453//4453\nf 4619//4619 564//564 4374//4374\nf 3514//3514 4751//4751 4472//4472\nf 1189//1189 254//254 4751//4751\nf 4809//4809 262//262 69//69\nf 4425//4425 4514//4514 4830//4830\nf 4475//4475 4809//4809 4474//4474\nf 1849//1849 4760//4760 266//266\nf 3635//3635 356//356 199//199\nf 4667//4667 4930//4930 4773//4773\nf 310//310 4828//4828 309//309\nf 4667//4667 2993//2993 4930//4930\nf 4702//4702 34//34 4710//4710\nf 34//34 204//204 4710//4710\nf 4710//4710 91//91 95//95\nf 350//350 4925//4925 4924//4924\nf 4615//4615 5081//5081 4820//4820\nf 196//196 4715//4715 4523//4523\nf 5081//5081 4521//4521 4790//4790\nf 4615//4615 4925//4925 147//147\nf 4312//4312 4718//4718 4668//4668\nf 4420//4420 4619//4619 4374//4374\nf 4762//4762 4788//4788 4633//4633\nf 4420//4420 2913//2913 4619//4619\nf 4670//4670 4710//4710 204//204\nf 4790//4790 4820//4820 5081//5081\nf 4702//4702 3463//3463 34//34\nf 337//337 884//884 4576//4576\nf 1596//1596 3141//3141 95//95\nf 4702//4702 4710//4710 95//95\nf 167//167 4745//4745 95//95\nf 4482//4482 4766//4766 4808//4808\nf 149//149 4718//4718 347//347\nf 61//61 378//378 4440//4440\nf 3202//3202 4727//4727 275//275\nf 4527//4527 4929//4929 2897//2897\nf 4857//4857 4766//4766 4482//4482\nf 4872//4872 378//378 2318//2318\nf 4929//4929 469//469 2897//2897\nf 469//469 4972//4972 2897//2897\nf 398//398 468//468 355//355\nf 97//97 275//275 4633//4633\nf 376//376 2395//2395 129//129\nf 326//326 4918//4918 4746//4746\nf 4777//4777 50//50 48//48\nf 4481//4481 5051//5051 4849//4849\nf 5044//5044 2053//2053 4949//4949\nf 4918//4918 4643//4643 48//48\nf 4898//4898 2381//2381 5090//5090\nf 377//377 4643//4643 326//326\nf 4486//4486 2345//2345 184//184\nf 187//187 4484//4484 55//55\nf 85//85 4486//4486 184//184\nf 41//41 55//55 84//84\nf 129//129 1287//1287 376//376\nf 1846//1846 5129//5129 698//698\nf 514//514 4091//4091 4024//4024\nf 4747//4747 4486//4486 41//41\nf 179//179 4949//4949 333//333\nf 4900//4900 5044//5044 4949//4949\nf 279//279 188//188 4870//4870\nf 4804//4804 4867//4867 5059//5059\nf 296//296 4880//4880 138//138\nf 385//385 179//179 4885//4885\nf 4538//4538 4937//4937 182//182\nf 4880//4880 3557//3557 4974//4974\nf 2348//2348 2383//2383 2384//2384\nf 221//221 3380//3380 79//79\nf 4528//4528 181//181 4717//4717\nf 4528//4528 4717//4717 4871//4871\nf 4717//4717 175//175 138//138\nf 4697//4697 5068//5068 84//84\nf 4593//4593 70//70 4672//4672\nf 4798//4798 5132//5132 4845//4845\nf 4628//4628 2384//2384 1190//1190\nf 2726//2726 2729//2729 322//322\nf 3135//3135 4628//4628 4671//4671\nf 11//11 2918//2918 462//462\nf 1578//1578 2348//2348 390//390\nf 1936//1936 2464//2464 3156//3156\nf 94//94 70//70 214//214\nf 94//94 214//214 4763//4763\nf 2464//2464 1949//1949 2500//2500\nf 4973//4973 4919//4919 4561//4561\nf 3983//3983 4584//4584 4940//4940\nf 4775//4775 68//68 2836//2836\nf 2592//2592 445//445 455//455\nf 231//231 230//230 280//280\nf 4721//4721 4573//4573 4893//4893\nf 164//164 12//12 4939//4939\nf 4921//4921 876//876 422//422\nf 1687//1687 448//448 2048//2048\nf 238//238 4577//4577 93//93\nf 2734//2734 1029//1029 1359//1359\nf 4672//4672 70//70 94//94\nf 4632//4632 4825//4825 382//382\nf 67//67 94//94 4819//4819\nf 208//208 165//165 4524//4524\nf 208//208 77//77 165//165\nf 3961//3961 4940//4940 4598//4598\nf 4927//4927 297//297 4639//4639\nf 2350//2350 4035//4035 322//322\nf 4927//4927 2918//2918 297//297\nf 4810//4810 1306//1306 1601//1601\nf 212//212 125//125 1878//1878\nf 231//231 2532//2532 4443//4443\nf 77//77 3069//3069 168//168\nf 169//169 125//125 212//212\nf 78//78 400//400 4650//4650\nf 247//247 4681//4681 400//400\nf 4650//4650 4859//4859 78//78\nf 4921//4921 12//12 4551//4551\nf 247//247 4688//4688 4681//4681\nf 4654//4654 53//53 169//169\nf 4771//4771 1632//1632 5061//5061\nf 295//295 4771//4771 4770//4770\nf 5061//5061 317//317 4770//4770\nf 1918//1918 5001//5001 4719//4719\nf 4712//4712 1702//1702 31//31\nf 3214//3214 2388//2388 1495//1495\nf 4610//4610 4441//4441 4547//4547\nf 2388//2388 4719//4719 3205//3205\nf 1524//1524 4778//4778 154//154\nf 4689//4689 128//128 4612//4612\nf 3205//3205 3026//3026 1943//1943\nf 63//63 104//104 4560//4560\nf 4944//4944 5099//5099 277//277\nf 4944//4944 4807//4807 5099//5099\nf 2038//2038 4616//4616 2365//2365\nf 30//30 4943//4943 4774//4774\nf 4511//4511 349//349 104//104\nf 4537//4537 324//324 2798//2798\nf 4597//4597 47//47 324//324\nf 3208//3208 4560//4560 197//197\nf 191//191 690//690 4494//4494\nf 307//307 4612//4612 128//128\nf 302//302 130//130 4553//4553\nf 4944//4944 397//397 4807//4807\nf 4944//4944 242//242 397//397\nf 4553//4553 242//242 191//191\nf 308//308 193//193 134//134\nf 674//674 639//639 5176//5176\nf 4884//4884 128//128 4750//4750\nf 4915//4915 140//140 4442//4442\nf 4479//4479 154//154 4778//4778\nf 4479//4479 4516//4516 154//154\nf 2337//2337 3879//3879 4392//4392\nf 4805//4805 4835//4835 4850//4850\nf 4516//4516 193//193 154//154\nf 92//92 4124//4124 183//183\nf 383//383 3128//3128 1202//1202\nf 4803//4803 4529//4529 387//387\nf 327//327 109//109 4908//4908\nf 4265//4265 425//425 428//428\nf 4916//4916 4910//4910 5083//5083\nf 233//233 5077//5077 5083//5083\nf 5207//5207 4920//4920 4637//4637\nf 4794//4794 4669//4669 298//298\nf 3125//3125 4920//4920 5207//5207\nf 4629//4629 4711//4711 4609//4609\nf 111//111 4784//4784 189//189\nf 4874//4874 4769//4769 4550//4550\nf 5077//5077 4506//4506 201//201\nf 4629//4629 4728//4728 4711//4711\nf 256//256 3183//3183 620//620\nf 3125//3125 71//71 4920//4920\nf 4950//4950 560//560 412//412\nf 364//364 4532//4532 226//226\nf 245//245 4758//4758 5074//5074\nf 106//106 5210//5210 192//192\nf 321//321 4755//4755 364//364\nf 121//121 33//33 4609//4609\nf 4711//4711 121//121 4609//4609\nf 4254//4254 257//257 1464//1464\nf 257//257 195//195 1464//1464\nf 606//606 172//172 195//195\nf 4799//4799 5071//5071 216//216\nf 4730//4730 102//102 5071//5071\nf 215//215 4799//4799 216//216\nf 4890//4890 4690//4690 4539//4539\nf 4690//4690 4657//4657 4752//4752\nf 4961//4961 219//219 4735//4735\nf 596//596 4963//4963 4796//4796\nf 359//359 4742//4742 45//45\nf 5069//5069 3070//3070 4483//4483\nf 2026//2026 1198//1198 449//449\nf 4549//4549 1764//1764 1711//1711\nf 3441//3441 3369//3369 1334//1334\nf 5002//5002 4698//4698 615//615\nf 146//146 1490//1490 615//615\nf 2198//2198 52//52 4814//4814\nf 4843//4843 419//419 4470//4470\nf 4843//4843 5027//5027 4816//4816\nf 5079//5079 4152//4152 2//2\nf 270//270 4844//4844 363//363\nf 4421//4421 4580//4580 2745//2745\nf 1933//1933 3223//3223 4580//4580\nf 15//15 821//821 4740//4740\nf 2036//2036 5052//5052 39//39\nf 142//142 291//291 4965//4965\nf 2886//2886 3429//3429 268//268\nf 4844//4844 270//270 361//361\nf 15//15 142//142 4965//4965\nf 25//25 3273//3273 2258//2258\nf 110//110 2258//2258 4956//4956\nf 4839//4839 4978//4978 65//65\nf 4811//4811 43//43 4//4\nf 4978//4978 4//4 65//65\nf 5088//5088 4740//4740 4839//4839\nf 821//821 4695//4695 4839//4839\nf 834//834 1891//1891 306//306\nf 4649//4649 2258//2258 110//110\nf 269//269 5008//5008 4588//4588\nf 269//269 2886//2886 268//268\nf 105//105 5060//5060 4800//4800\nf 313//313 4533//4533 254//254\nf 413//413 4426//4426 4386//4386\nf 4426//4426 2490//2490 4386//4386\nf 5093//5093 4641//4641 28//28\nf 4620//4620 262//262 4731//4731\nf 4635//4635 312//312 234//234\nf 80//80 4649//4649 56//56\nf 471//471 27//27 4800//4800\nf 413//413 20//20 3178//3178\nf 3123//3123 2366//2366 3178//3178\nf 4716//4716 2009//2009 2300//2300\nf 4649//4649 110//110 56//56\nf 4533//4533 2300//2300 4751//4751\nf 505//505 1189//1189 3514//3514\nf 4533//4533 4716//4716 2300//2300\nf 3696//3696 2608//2608 472//472\nf 1907//1907 1950//1950 1390//1390\nf 4472//4472 356//356 3514//3514\nf 356//356 4674//4674 199//199\nf 356//356 3635//3635 3514//3514\nf 4809//4809 4731//4731 262//262\nf 2704//2704 4886//4886 4478//4478\nf 147//147 304//304 4917//4917\nf 3//3 505//505 4391//4391\nf 3//3 1189//1189 505//505\nf 4579//4579 122//122 160//160\nf 4679//4679 4926//4926 4917//4917\nf 4772//4772 152//152 5//5\nf 4828//4828 4925//4925 350//350\nf 350//350 4938//4938 4828//4828\nf 330//330 4328//4328 136//136\nf 3463//3463 274//274 272//272\nf 4732//4732 303//303 170//170\nf 3463//3463 4702//4702 3462//3462\nf 152//152 5064//5064 5//5\nf 4703//4703 155//155 4999//4999\nf 4749//4749 4837//4837 203//203\nf 1802//1802 4439//4439 4709//4709\nf 171//171 4733//4733 4734//4734\nf 196//196 5//5 148//148\nf 4749//4749 203//203 4773//4773\nf 272//272 4583//4583 4868//4868\nf 4627//4627 4820//4820 4790//4790\nf 4627//4627 4832//4832 4464//4464\nf 4868//4868 4583//4583 4979//4979\nf 4790//4790 4732//4732 4627//4627\nf 4732//4732 4832//4832 4627//4627\nf 4861//4861 97//97 4788//4788\nf 4482//4482 4780//4780 48//48\nf 4931//4931 4857//4857 50//50\nf 91//91 167//167 95//95\nf 2707//2707 4857//4857 288//288\nf 237//237 236//236 273//273\nf 373//373 1287//1287 129//129\nf 2345//2345 2053//2053 5211//5211\nf 220//220 149//149 347//347\nf 220//220 4630//4630 4762//4762\nf 149//149 224//224 273//273\nf 4788//4788 252//252 4862//4862\nf 2395//2395 4526//4526 2389//2389\nf 4481//4481 373//373 129//129\nf 1644//1644 2524//2524 4836//4836\nf 4481//4481 46//46 4562//4562\nf 1662//1662 2468//2468 1904//1904\nf 2345//2345 4486//4486 4592//4592\nf 4834//4834 4440//4440 244//244\nf 5062//5062 4931//4931 50//50\nf 4643//4643 4748//4748 4777//4777\nf 4780//4780 4482//4482 4808//4808\nf 2358//2358 4487//4487 1287//1287\nf 1904//1904 4493//4493 4487//4487\nf 55//55 41//41 187//187\nf 84//84 55//55 4821//4821\nf 187//187 41//41 85//85\nf 2395//2395 376//376 4526//4526\nf 390//390 3135//3135 5133//5133\nf 182//182 4937//4937 5068//5068\nf 1846//1846 698//698 4345//4345\nf 4897//4897 182//182 4697//4697\nf 5059//5059 3039//3039 5133//5133\nf 84//84 4747//4747 41//41\nf 4853//4853 332//332 4412//4412\nf 4804//4804 181//181 4897//4897\nf 4804//4804 5059//5059 175//175\nf 54//54 44//44 4768//4768\nf 221//221 339//339 2390//2390\nf 4429//4429 4460//4460 4463//4463\nf 4899//4899 4798//4798 4763//4763\nf 332//332 57//57 188//188\nf 4412//4412 332//332 2538//2538\nf 4717//4717 181//181 4804//4804\nf 4827//4827 4789//4789 174//174\nf 339//339 1968//1968 2006//2006\nf 339//339 1190//1190 338//338\nf 4723//4723 2411//2411 4559//4559\nf 4845//4845 4722//4722 4819//4819\nf 4722//4722 2500//2500 1949//1949\nf 2516//2516 1947//1947 1841//1841\nf 4541//4541 231//231 280//280\nf 4923//4923 1825//1825 14//14\nf 4831//4831 4767//4767 4919//4919\nf 3204//3204 202//202 4525//4525\nf 77//77 4632//4632 3069//3069\nf 4825//4825 208//208 67//67\nf 4561//4561 4919//4919 93//93\nf 67//67 382//382 4825//4825\nf 4672//4672 94//94 67//67\nf 4410//4410 243//243 2977//2977\nf 4939//4939 280//280 164//164\nf 4285//4285 2776//2776 1623//1623\nf 4893//4893 4410//4410 5063//5063\nf 5019//5019 5061//5061 4997//4997\nf 163//163 213//213 5063//5063\nf 5163//5163 164//164 2721//2721\nf 4688//4688 4441//4441 4681//4681\nf 247//247 4883//4883 4878//4878\nf 53//53 83//83 169//169\nf 5061//5061 1632//1632 4997//4997\nf 53//53 4883//4883 83//83\nf 4441//4441 4644//4644 4712//4712\nf 4719//4719 4996//4996 1918//1918\nf 4364//4364 5063//5063 251//251\nf 317//317 5019//5019 5131//5131\nf 5019//5019 1880//1880 5131//5131\nf 4441//4441 4712//4712 198//198\nf 2559//2559 5073//5073 1595//1595\nf 4863//4863 82//82 386//386\nf 379//379 2453//2453 4575//4575\nf 2958//2958 575//575 5154//5154\nf 379//379 5131//5131 4737//4737\nf 276//276 4494//4494 414//414\nf 276//276 691//691 5092//5092\nf 4624//4624 4996//4996 4596//4596\nf 4624//4624 2453//2453 4996//4996\nf 4866//4866 308//308 134//134\nf 2038//2038 3050//3050 4616//4616\nf 2038//2038 391//391 4622//4622\nf 2388//2388 3214//3214 4596//4596\nf 4689//4689 4805//4805 4850//4850\nf 5092//5092 426//426 191//191\nf 3880//3880 3799//3799 3352//3352\nf 2413//2413 325//325 4431//4431\nf 4480//4480 1702//1702 1495//1495\nf 248//248 153//153 4480//4480\nf 248//248 193//193 153//153\nf 193//193 248//248 154//154\nf 4915//4915 177//177 140//140\nf 307//307 2901//2901 305//305\nf 1834//1834 3139//3139 492//492\nf 239//239 1716//1716 432//432\nf 4803//4803 387//387 407//407\nf 2433//2433 241//241 2807//2807\nf 4589//4589 2243//2243 4795//4795\nf 425//425 424//424 428//428\nf 1384//1384 1327//1327 4990//4990\nf 1384//1384 1440//1440 3186//3186\nf 92//92 5205//5205 4888//4888\nf 4908//4908 233//233 4586//4586\nf 314//314 5161//5161 4889//4889\nf 4910//4910 4769//4769 5083//5083\nf 59//59 5083//5083 4769//4769\nf 4506//4506 4652//4652 201//201\nf 2807//2807 4669//4669 4794//4794\nf 4621//4621 4705//4705 4394//4394\nf 1585//1585 3132//3132 380//380\nf 257//257 4254//4254 4952//4952\nf 89//89 4916//4916 135//135\nf 3113//3113 4600//4600 4254//4254\nf 33//33 4916//4916 89//89\nf 33//33 89//89 246//246\nf 4609//4609 246//246 4975//4975\nf 1984//1984 500//500 5050//5050\nf 4728//4728 5207//5207 4636//4636\nf 135//135 4916//4916 201//201\nf 3113//3113 2749//2749 4600//4600\nf 360//360 4254//4254 4600//4600\nf 4756//4756 71//71 5074//5074\nf 1780//1780 127//127 620//620\nf 106//106 192//192 180//180\nf 4686//4686 284//284 4728//4728\nf 42//42 4889//4889 245//245\nf 5210//5210 257//257 4952//4952\nf 5210//5210 606//606 257//257\nf 606//606 195//195 257//257\nf 4254//4254 1464//1464 3113//3113\nf 172//172 3183//3183 195//195\nf 42//42 4858//4858 4889//4889\nf 9//9 4914//4914 4735//4735\nf 215//215 4846//4846 4595//4595\nf 4952//4952 4254//4254 4947//4947\nf 4952//4952 4947//4947 145//145\nf 620//620 127//127 256//256\nf 4799//4799 145//145 5071//5071\nf 368//368 1556//1556 4626//4626\nf 4914//4914 4648//4648 4701//4701\nf 5057//5057 4556//4556 2328//2328\nf 4041//4041 2198//2198 4683//4683\nf 2891//2891 3441//3441 1334//1334\nf 4701//4701 4735//4735 4914//4914\nf 4549//4549 1538//1538 3297//3297\nf 4698//4698 1174//1174 4041//4041\nf 4843//4843 36//36 419//419\nf 4448//4448 504//504 533//533\nf 4216//4216 1621//1621 3487//3487\nf 3487//3487 4647//4647 4738//4738\nf 5079//5079 4613//4613 218//218\nf 209//209 4738//4738 123//123\nf 5027//5027 4544//4544 4814//4814\nf 5079//5079 2//2 4613//4613\nf 4473//4473 2111//2111 3351//3351\nf 4843//4843 4816//4816 186//186\nf 2329//2329 1555//1555 3061//3061\nf 1560//1560 5070//5070 1622//1622\nf 4469//4469 4490//4490 3223//3223\nf 126//126 4608//4608 4658//4658\nf 2886//2886 389//389 358//358\nf 427//427 2504//2504 2790//2790\nf 1891//1891 389//389 2886//2886\nf 123//123 4647//4647 4966//4966\nf 1636//1636 2608//2608 3696//3696\nf 427//427 393//393 2504//2504\nf 1105//1105 4978//4978 4839//4839\nf 821//821 836//836 834//834\nf 1105//1105 4839//4839 4695//4695\nf 4978//4978 1105//1105 3896//3896\nf 43//43 72//72 112//112\nf 72//72 234//234 112//112\nf 43//43 5082//5082 4//4\nf 75//75 4841//4841 4384//4384\nf 472//472 2790//2790 2861//2861\nf 4641//4641 112//112 234//234\nf 3695//3695 4517//4517 3772//3772\nf 2522//2522 40//40 3772//3772\nf 4517//4517 3695//3695 3696//3696\nf 4517//4517 3696//3696 472//472\nf 4968//4968 4969//4969 437//437\nf 4517//4517 2521//2521 2522//2522\nf 413//413 4970//4970 20//20\nf 2521//2521 1950//1950 1907//1907\nf 2521//2521 2861//2861 1950//1950\nf 166//166 27//27 471//471\nf 4886//4886 105//105 4478//4478\nf 2521//2521 4517//4517 472//472\nf 2818//2818 2820//2820 4663//4663\nf 262//262 4391//4391 69//69\nf 4579//4579 69//69 122//122\nf 4427//4427 4425//4425 4830//4830\nf 441//441 4471//4471 4512//4512\nf 657//657 2727//2727 4449//4449\nf 1989//1989 1802//1802 155//155\nf 4217//4217 4694//4694 3074//3074\nf 5022//5022 2727//2727 331//331\nf 286//286 4749//4749 4930//4930\nf 2668//2668 4437//4437 136//136\nf 4702//4702 3141//3141 3462//3462\nf 1596//1596 4694//4694 4217//4217\nf 4694//4694 2993//2993 3074//3074\nf 2669//2669 330//330 136//136\nf 4781//4781 4801//4801 4782//4782\nf 2956//2956 6120//6120 87//87\nf 5//5 261//261 148//148\nf 4926//4926 4679//4679 148//148\nf 4679//4679 4917//4917 304//304\nf 4328//4328 330//330 374//374\nf 4217//4217 334//334 415//415\nf 334//334 1806//1806 415//415\nf 4999//4999 4708//4708 501//501\nf 2668//2668 274//274 3462//3462\nf 4788//4788 4862//4862 4861//4861\nf 3194//3194 1704//1704 2750//2750\nf 4862//4862 252//252 4979//4979\nf 272//272 4868//4868 34//34\nf 3463//3463 272//272 34//34\nf 329//329 151//151 1142//1142\nf 4487//4487 4526//4526 376//376\nf 4861//4861 288//288 97//97\nf 4526//4526 1986//1986 2389//2389\nf 220//220 4762//4762 4633//4633\nf 4766//4766 3353//3353 4808//4808\nf 4861//4861 1142//1142 4847//4847\nf 5045//5045 3973//3973 4768//4768\nf 423//423 2395//2395 1644//1644\nf 48//48 50//50 4482//4482\nf 4531//4531 1932//1932 2358//2358\nf 4531//4531 144//144 4847//4847\nf 4487//4487 1932//1932 1904//1904\nf 2381//2381 5089//5089 4335//4335\nf 4808//4808 3353//3353 373//373\nf 5090//5090 377//377 4898//4898\nf 5090//5090 416//416 377//377\nf 2468//2468 2527//2527 3025//3025\nf 4493//4493 1904//1904 3025//3025\nf 4493//4493 4526//4526 4487//4487\nf 5045//5045 1644//1644 4836//4836\nf 4836//4836 2197//2197 3973//3973\nf 5045//5045 4836//4836 3973//3973\nf 2707//2707 144//144 4766//4766\nf 4768//4768 3973//3973 3905//3905\nf 4522//4522 2394//2394 632//632\nf 4640//4640 4435//4435 1493//1493\nf 4821//4821 54//54 4792//4792\nf 3025//3025 4754//4754 4493//4493\nf 4754//4754 4653//4653 1986//1986\nf 4555//4555 5045//5045 4768//4768\nf 4821//4821 44//44 54//54\nf 4974//4974 4779//4779 4880//4880\nf 3905//3905 632//632 384//384\nf 84//84 4821//4821 4697//4697\nf 129//129 423//423 5051//5051\nf 44//44 55//55 4484//4484\nf 5059//5059 4867//4867 119//119\nf 84//84 5068//5068 4747//4747\nf 1993//1993 2424//2424 101//101\nf 1831//1831 4105//4105 4422//4422\nf 2298//2298 384//384 2394//2394\nf 1771//1771 1593//1593 1968//1968\nf 2006//2006 1968//1968 4578//4578\nf 2538//2538 4496//4496 4412//4412\nf 174//174 4928//4928 4827//4827\nf 4899//4899 214//214 150//150\nf 5133//5133 1578//1578 390//390\nf 4897//4897 181//181 4852//4852\nf 4853//4853 5118//5118 8//8\nf 138//138 57//57 4871//4871\nf 1771//1771 1968//1968 338//338\nf 79//79 4827//4827 4628//4628\nf 194//194 2464//2464 4678//4678\nf 2464//2464 1936//1936 4678//4678\nf 4763//4763 4798//4798 4845//4845\nf 114//114 5132//5132 4798//4798\nf 4845//4845 4819//4819 4763//4763\nf 4763//4763 214//214 4899//4899\nf 114//114 4980//4980 5132//5132\nf 194//194 243//243 2970//2970\nf 285//285 2500//2500 4722//4722\nf 114//114 4899//4899 4789//4789\nf 4831//4831 4973//4973 4901//4901\nf 4410//4410 251//251 5063//5063\nf 77//77 208//208 4825//4825\nf 2970//2970 243//243 4573//4573\nf 2970//2970 4573//4573 4577//4577\nf 1799//1799 2752//2752 2529//2529\nf 4632//4632 3450//3450 238//238\nf 67//67 1330//1330 382//382\nf 67//67 4819//4819 1330//1330\nf 114//114 4798//4798 4899//4899\nf 93//93 4632//4632 238//238\nf 4939//4939 4541//4541 280//280\nf 5063//5063 213//213 4893//4893\nf 163//163 32//32 4654//4654\nf 4410//4410 2977//2977 251//251\nf 317//317 4575//4575 4409//4409\nf 4997//4997 340//340 5019//5019\nf 4364//4364 4997//4997 1632//1632\nf 4770//4770 4409//4409 295//295\nf 4770//4770 4771//4771 5061//5061\nf 295//295 4547//4547 4878//4878\nf 4654//4654 169//169 212//212\nf 4364//4364 4736//4736 4997//4997\nf 381//381 2929//2929 4680//4680\nf 341//341 1918//1918 1919//1919\nf 379//379 4680//4680 1919//1919\nf 1676//1676 2929//2929 381//381\nf 1676//1676 1406//1406 2929//2929\nf 4572//4572 3205//3205 1943//1943\nf 1495//1495 3205//3205 4572//4572\nf 4719//4719 3026//3026 3205//3205\nf 2453//2453 1919//1919 4996//4996\nf 4688//4688 4878//4878 4547//4547\nf 400//400 78//78 247//247\nf 4778//4778 1524//1524 4666//4666\nf 391//391 3026//3026 2939//2939\nf 1524//1524 248//248 250//250\nf 426//426 1353//1353 4866//4866\nf 4689//4689 4817//4817 4805//4805\nf 154//154 248//248 1524//1524\nf 250//250 4666//4666 1524//1524\nf 250//250 293//293 4666//4666\nf 4689//4689 4612//4612 4817//4817\nf 1702//1702 3214//3214 1495//1495\nf 4644//4644 4610//4610 4596//4596\nf 4480//4480 1495//1495 4572//4572\nf 307//307 4761//4761 2901//2901\nf 177//177 4761//4761 140//140\nf 4516//4516 134//134 193//193\nf 4438//4438 3128//3128 383//383\nf 1202//1202 4407//4407 2976//2976\nf 177//177 4604//4604 4761//4761\nf 4646//4646 4778//4778 4666//4666\nf 4646//4646 4510//4510 305//305\nf 4646//4646 2071//2071 4510//4510\nf 2071//2071 2365//2365 4616//4616\nf 177//177 4617//4617 4604//4604\nf 2007//2007 239//239 116//116\nf 2071//2071 4616//4616 1701//1701\nf 4705//4705 4506//4506 470//470\nf 116//116 239//239 432//432\nf 1327//1327 4691//4691 1326//1326\nf 4913//4913 4706//4706 109//109\nf 4513//4513 2817//2817 395//395\nf 4513//4513 240//240 2817//2817\nf 4513//4513 2007//2007 240//240\nf 4394//4394 2989//2989 4794//4794\nf 4753//4753 183//183 107//107\nf 4568//4568 387//387 4529//4529\nf 1585//1585 380//380 1782//1782\nf 4706//4706 4913//4913 4058//4058\nf 2989//2989 2433//2433 4794//4794\nf 124//124 561//561 809//809\nf 109//109 4855//4855 4908//4908\nf 425//425 432//432 424//424\nf 3104//3104 762//762 4404//4404\nf 2597//2597 1790//1790 2596//2596\nf 183//183 4124//4124 4913//4913\nf 4122//4122 2433//2433 4058//4058\nf 2597//2597 4408//4408 1790//1790\nf 4621//4621 258//258 4705//4705\nf 4913//4913 4124//4124 4058//4058\nf 183//183 4913//4913 327//327\nf 4858//4858 4975//4975 246//246\nf 2676//2676 3174//3174 500//500\nf 2638//2638 2676//2676 2444//2444\nf 1984//1984 2676//2676 500//500\nf 1984//1984 4704//4704 2444//2444\nf 245//245 5074//5074 42//42\nf 3131//3131 2978//2978 4626//4626\nf 5057//5057 3096//3096 4554//4554\nf 4735//4735 4701//4701 102//102\nf 4947//4947 360//360 4730//4730\nf 4961//4961 102//102 2708//2708\nf 2259//2259 1556//1556 1985//1985\nf 146//146 615//615 5189//5189\nf 4539//4539 4752//4752 45//45\nf 216//216 102//102 4701//4701\nf 4961//4961 4735//4735 102//102\nf 1560//1560 5209//5209 554//554\nf 1871//1871 4554//4554 4677//4677\nf 4041//4041 615//615 4698//4698\nf 4483//4483 1490//1490 2505//2505\nf 2508//2508 2329//2329 1621//1621\nf 1871//1871 4677//4677 2259//2259\nf 1621//1621 5070//5070 4699//4699\nf 3130//3130 1555//1555 2329//2329\nf 2885//2885 4552//4552 1502//1502\nf 554//554 4325//4325 1560//1560\nf 358//358 3351//3351 3429//3429\nf 962//962 1942//1942 1820//1820\nf 156//156 394//394 3130//3130\nf 1239//1239 3429//3429 3351//3351\nf 1560//1560 4699//4699 5070//5070\nf 4325//4325 4966//4966 4647//4647\nf 351//351 1560//1560 1622//1622\nf 363//363 4844//4844 4935//4935\nf 5209//5209 351//351 1502//1502\nf 306//306 173//173 4695//4695\nf 2111//2111 4473//4473 1502//1502\nf 2742//2742 2527//2527 1557//1557\nf 4965//4965 4988//4988 15//15\nf 4965//4965 133//133 4988//4988\nf 290//290 4707//4707 103//103\nf 836//836 4988//4988 388//388\nf 388//388 1506//1506 2974//2974\nf 139//139 4740//4740 5088//5088\nf 4811//4811 4791//4791 4865//4865\nf 3209//3209 141//141 393//393\nf 1152//1152 4495//4495 313//313\nf 4607//4607 312//312 157//157\nf 105//105 4886//4886 24//24\nf 1189//1189 3//3 1849//1849\nf 4791//4791 3695//3695 4922//4922\nf 2692//2692 1636//1636 3696//3696\nf 2692//2692 3698//3698 3896//3896\nf 1152//1152 313//313 7//7\nf 141//141 3925//3925 393//393\nf 2692//2692 4791//4791 3698//3698\nf 3695//3695 2692//2692 3696//3696\nf 3695//3695 4791//4791 2692//2692\nf 4716//4716 4557//4557 2009//2009\nf 4495//4495 1788//1788 313//313\nf 2636//2636 264//264 2786//2786\nf 2637//2637 4197//4197 120//120\nf 1712//1712 4557//4557 430//430\nf 4471//4471 396//396 4512//4512\nf 4391//4391 3635//3635 122//122\nf 396//396 118//118 310//310\nf 3//3 4391//4391 262//262\nf 166//166 471//471 5046//5046\nf 1189//1189 4751//4751 3514//3514\nf 4523//4523 160//160 4772//4772\nf 4474//4474 4830//4830 4475//4475\nf 4674//4674 98//98 1191//1191\nf 1191//1191 4673//4673 199//199\nf 3384//3384 2727//2727 5022//5022\nf 4530//4530 4449//4449 4582//4582\nf 185//185 1802//1802 1989//1989\nf 185//185 206//206 1802//1802\nf 148//148 4679//4679 118//118\nf 1802//1802 206//206 4439//4439\nf 203//203 4837//4837 5081//5081\nf 4930//4930 2993//2993 4694//4694\nf 3388//3388 3384//3384 5022//5022\nf 264//264 2637//2637 120//120\nf 203//203 147//147 4917//4917\nf 2972//2972 4708//4708 467//467\nf 3017//3017 4675//4675 4725//4725\nf 2993//2993 656//656 3074//3074\nf 2993//2993 158//158 656//656\nf 95//95 3141//3141 4702//4702\nf 2669//2669 2564//2564 2840//2840\nf 3141//3141 4217//4217 415//415\nf 415//415 1806//1806 2668//2668\nf 152//152 3388//3388 5022//5022\nf 5//5 196//196 4772//4772\nf 148//148 118//118 196//196\nf 136//136 4328//4328 274//274\nf 1596//1596 4217//4217 3141//3141\nf 5064//5064 5022//5022 331//331\nf 5064//5064 152//152 5022//5022\nf 4765//4765 2673//2673 2840//2840\nf 274//274 3463//3463 3462//3462\nf 4583//4583 272//272 4328//4328\nf 252//252 4788//4788 4762//4762\nf 1441//1441 2673//2673 2767//2767\nf 4477//4477 1557//1557 1558//1558\nf 4868//4868 4979//4979 252//252\nf 2357//2357 328//328 329//329\nf 2357//2357 2072//2072 4725//4725\nf 204//204 4868//4868 252//252\nf 1986//1986 2746//2746 2389//2389\nf 329//329 1142//1142 4862//4862\nf 4675//4675 328//328 2357//2357\nf 4670//4670 91//91 4710//4710\nf 4766//4766 4857//4857 2707//2707\nf 50//50 4777//4777 5062//5062\nf 1986//1986 4653//4653 2746//2746\nf 159//159 4851//4851 5062//5062\nf 4519//4519 4867//4867 4792//4792\nf 1993//1993 1872//1872 2424//2424\nf 4867//4867 4519//4519 119//119\nf 4792//4792 4867//4867 4897//4897\nf 632//632 3905//3905 3973//3973\nf 4606//4606 175//175 5059//5059\nf 138//138 4871//4871 4717//4717\nf 1578//1578 5114//5114 101//101\nf 4827//4827 79//79 4789//4789\nf 2390//2390 2551//2551 4980//4980\nf 2390//2390 339//339 2006//2006\nf 2383//2383 5152//5152 1771//1771\nf 338//338 1968//1968 339//339\nf 4105//4105 5129//5129 4422//4422\nf 339//339 221//221 1190//1190\nf 101//101 2348//2348 1578//1578\nf 2384//2384 4628//4628 390//390\nf 4578//4578 1593//1593 1666//1666\nf 1771//1771 5152//5152 525//525\nf 4593//4593 4594//4594 4887//4887\nf 4980//4980 3380//3380 2390//2390\nf 5152//5152 2424//2424 1872//1872\nf 77//77 4825//4825 4632//4632\nf 1330//1330 1949//1949 3450//3450\nf 382//382 3450//3450 4632//4632\nf 3450//3450 2970//2970 238//238\nf 1949//1949 2464//2464 194//194\nf 2464//2464 2500//2500 3156//3156\nf 1909//1909 292//292 4559//4559\nf 163//163 1632//1632 32//32\nf 4678//4678 243//243 194//194\nf 4678//4678 1936//1936 2977//2977\nf 1470//1470 4736//4736 190//190\nf 295//295 4878//4878 4812//4812\nf 381//381 4680//4680 4737//4737\nf 1675//1675 1706//1706 3127//3127\nf 4719//4719 2388//2388 4996//4996\nf 3138//3138 878//878 3515//3515\nf 381//381 1675//1675 1676//1676\nf 5001//5001 1918//1918 4995//4995\nf 4575//4575 317//317 5131//5131\nf 1661//1661 1193//1193 818//818\nf 134//134 4516//4516 4822//4822\nf 2388//2388 4596//4596 4996//4996\nf 31//31 153//153 308//308\nf 4996//4996 1919//1919 1918//1918\nf 4863//4863 4624//4624 82//82\nf 31//31 198//198 4712//4712\nf 4409//4409 386//386 295//295\nf 4575//4575 2453//2453 4863//4863\nf 2892//2892 2724//2724 1527//1527\nf 4479//4479 4604//4604 4774//4774\nf 4479//4479 4778//4778 2901//2901\nf 4612//4612 4977//4977 4817//4817\nf 4516//4516 4479//4479 4774//4774\nf 1791//1791 4040//4040 4179//4179\nf 3442//3442 1266//1266 4407//4407\nf 3058//3058 1193//1193 1266//1266\nf 307//307 305//305 4612//4612\nf 2433//2433 2989//2989 4058//4058\nf 4691//4691 228//228 1326//1326\nf 4565//4565 2638//2638 2528//2528\nf 3028//3028 4631//4631 3132//3132\nf 780//780 3902//3902 930//930\nf 1780//1780 246//246 89//89\nf 265//265 499//499 3108//3108\nf 135//135 201//201 4652//4652\nf 620//620 172//172 314//314\nf 1556//1556 1538//1538 1985//1985\nf 4652//4652 4704//4704 135//135\nf 4190//4190 4976//4976 543//543\nf 4976//4976 4190//4190 2749//2749\nf 127//127 89//89 135//135\nf 127//127 1780//1780 89//89\nf 1800//1800 3174//3174 2676//2676\nf 5050//5050 4566//4566 3183//3183\nf 2749//2749 3113//3113 4554//4554\nf 5057//5057 4554//4554 3113//3113\nf 4799//4799 4682//4682 145//145\nf 314//314 4858//4858 1780//1780\nf 1985//1985 2657//2657 4976//4976\nf 4677//4677 4626//4626 2259//2259\nf 1764//1764 1653//1653 4501//4501\nf 2657//2657 2561//2561 543//543\nf 1770//1770 1267//1267 1555//1555\nf 1513//1513 2526//2526 2665//2665\nf 2508//2508 5002//5002 3130//3130\nf 554//554 5209//5209 4552//4552\nf 5209//5209 1502//1502 4552//4552\nf 4152//4152 554//554 4552//4552\nf 4152//4152 4552//4552 222//222\nf 1506//1506 2885//2885 2974//2974\nf 4325//4325 554//554 4966//4966\nf 1506//1506 222//222 2885//2885\nf 363//363 4955//4955 4545//4545\nf 133//133 290//290 103//103\nf 358//358 389//389 2974//2974\nf 4955//4955 4662//4662 4545//4545\nf 4320//4320 5023//5023 5334//5334\nf 4588//4588 306//306 269//269\nf 4716//4716 1788//1788 430//430\nf 254//254 1189//1189 266//266\nf 392//392 2818//2818 4663//4663\nf 3209//3209 5008//5008 2170//2170\nf 392//392 430//430 1788//1788\nf 1390//1390 2818//2818 392//392\nf 1160//1160 3429//3429 1239//1239\nf 4791//4791 4922//4922 4865//4865\nf 4881//4881 51//51 2704//2704\nf 4663//4663 1712//1712 430//430\nf 289//289 311//311 4546//4546\nf 4800//4800 4891//4891 471//471\nf 4197//4197 2972//2972 467//467\nf 4800//4800 4478//4478 105//105\nf 2300//2300 4472//4472 4751//4751\nf 4800//4800 27//27 4478//4478\nf 4197//4197 4362//4362 1387//1387\nf 343//343 2786//2786 342//342\nf 2009//2009 2636//2636 2786//2786\nf 2009//2009 4557//4557 2636//2636\nf 3384//3384 1989//1989 2727//2727\nf 4674//4674 342//342 98//98\nf 4674//4674 356//356 342//342\nf 342//342 2024//2024 98//98\nf 656//656 331//331 657//657\nf 656//656 158//158 331//331\nf 4674//4674 1191//1191 199//199\nf 4801//4801 4781//4781 170//170\nf 4782//4782 347//347 4781//4781\nf 347//347 4630//4630 220//220\nf 286//286 4694//4694 1596//1596\nf 347//347 4782//4782 4630//4630\nf 3017//3017 1558//1558 2527//2527\nf 2767//2767 5000//5000 372//372\nf 4583//4583 2072//2072 320//320\nf 374//374 2650//2650 4725//4725\nf 1442//1442 588//588 3034//3034\nf 4667//4667 4926//4926 261//261\nf 372//372 2650//2650 1441//1441\nf 1385//1385 4477//4477 1558//1558\nf 274//274 4328//4328 272//272\nf 151//151 1932//1932 4531//4531\nf 4979//4979 329//329 4862//4862\nf 4675//4675 2357//2357 4725//4725\nf 1142//1142 4861//4861 4862//4862\nf 4675//4675 3017//3017 2527//2527\nf 1932//1932 151//151 1662//1662\nf 4493//4493 1986//1986 4526//4526\nf 323//323 5058//5058 4522//4522\nf 288//288 4861//4861 4847//4847\nf 3905//3905 384//384 4519//4519\nf 3905//3905 4519//4519 54//54\nf 4562//4562 235//235 4780//4780\nf 235//235 4918//4918 4780//4780\nf 5040//5040 1383//1383 4241//4241\nf 2742//2742 3025//3025 2527//2527\nf 4847//4847 144//144 2707//2707\nf 2298//2298 5114//5114 3039//3039\nf 3557//3557 4606//4606 3135//3135\nf 2394//2394 5058//5058 5114//5114\nf 4538//4538 182//182 4852//4852\nf 3554//3554 5028//5028 3552//3552\nf 5114//5114 1578//1578 3039//3039\nf 2383//2383 1771//1771 338//338\nf 1888//1888 2411//2411 4723//4723\nf 5058//5058 2579//2579 1993//1993\nf 1888//1888 2436//2436 2411//2411\nf 517//517 4151//4151 5056//5056\nf 79//79 1190//1190 221//221\nf 2411//2411 4982//4982 2991//2991\nf 4485//4485 562//562 3111//3111\nf 4899//4899 174//174 4789//4789\nf 3512//3512 405//405 1665//1665\nf 2977//2977 243//243 4678//4678\nf 4980//4980 4723//4723 5132//5132\nf 4282//4282 4218//4218 3058//3058\nf 3156//3156 4559//4559 292//292\nf 3380//3380 221//221 2390//2390\nf 1949//1949 1330//1330 4722//4722\nf 1330//1330 3450//3450 382//382\nf 190//190 4736//4736 4364//4364\nf 1470//1470 1561//1561 4736//4736\nf 4572//4572 250//250 4480//4480\nf 3026//3026 5001//5001 2939//2939\nf 1919//1919 4680//4680 341//341\nf 153//153 1702//1702 4480//4480\nf 4547//4547 386//386 4610//4610\nf 2365//2365 2071//2071 4666//4666\nf 386//386 82//82 4610//4610\nf 1701//1701 5067//5067 436//436\nf 1701//1701 4438//4438 5067//5067\nf 3026//3026 4719//4719 5001//5001\nf 1661//1661 3227//3227 1193//1193\nf 2817//2817 232//232 395//395\nf 92//92 183//183 4753//4753\nf 428//428 88//88 4714//4714\nf 232//232 2889//2889 3371//3371\nf 561//561 2007//2007 116//116\nf 424//424 429//429 428//428\nf 241//241 2433//2433 4122//4122\nf 4124//4124 4888//4888 4122//4122\nf 88//88 2819//2819 241//241\nf 4122//4122 4058//4058 4124//4124\nf 429//429 424//424 466//466\nf 470//470 4506//4506 5077//5077\nf 4706//4706 4855//4855 109//109\nf 470//470 2989//2989 4394//4394\nf 1779//1779 1585//1585 1782//1782\nf 298//298 4669//4669 1779//1779\nf 2528//2528 4720//4720 2596//2596\nf 3027//3027 1230//1230 4112//4112\nf 3028//3028 3132//3132 1585//1585\nf 3104//3104 1230//1230 762//762\nf 5066//5066 2660//2660 3511//3511\nf 1790//1790 4408//4408 5021//5021\nf 4112//4112 1230//1230 3104//3104\nf 762//762 1108//1108 4404//4404\nf 465//465 4112//4112 3104//3104\nf 172//172 5161//5161 314//314\nf 1328//1328 3297//3297 1538//1538\nf 4858//4858 42//42 4975//4975\nf 606//606 5210//5210 106//106\nf 4711//4711 284//284 4784//4784\nf 5050//5050 5075//5075 4566//4566\nf 4609//4609 33//33 246//246\nf 5071//5071 4947//4947 4730//4730\nf 5071//5071 145//145 4947//4947\nf 314//314 4889//4889 4858//4858\nf 620//620 3183//3183 172//172\nf 2259//2259 1985//1985 1871//1871\nf 1711//1711 4501//4501 3070//3070\nf 1406//1406 2680//2680 4069//4069\nf 195//195 3183//3183 4556//4556\nf 4554//4554 3096//3096 4677//4677\nf 1538//1538 1556//1556 1328//1328\nf 1871//1871 1985//1985 4976//4976\nf 1556//1556 368//368 1328//1328\nf 4961//4961 543//543 219//219\nf 4614//4614 2505//2505 146//146\nf 5069//5069 2561//2561 4983//4983\nf 4216//4216 3487//3487 4658//4658\nf 4458//4458 156//156 1490//1490\nf 1490//1490 5002//5002 615//615\nf 4483//4483 3070//3070 2891//2891\nf 4321//4321 4271//4271 3754//3754\nf 4190//4190 2708//2708 4600//4600\nf 4041//4041 1174//1174 2198//2198\nf 2885//2885 4473//4473 2974//2974\nf 4966//4966 4152//4152 5079//5079\nf 4110//4110 631//631 1186//1186\nf 4086//4086 222//222 1506//1506\nf 4271//4271 5028//5028 3554//3554\nf 351//351 5054//5054 4665//4665\nf 306//306 4588//4588 173//173\nf 4473//4473 3351//3351 358//358\nf 982//982 1739//1739 689//689\nf 472//472 2608//2608 2790//2790\nf 1239//1239 5023//5023 748//748\nf 139//139 291//291 142//142\nf 43//43 4811//4811 72//72\nf 2504//2504 3926//3926 3624//3624\nf 2504//2504 393//393 1398//1398\nf 4716//4716 4533//4533 1788//1788\nf 4362//4362 4197//4197 2637//2637\nf 2790//2790 3624//3624 2861//2861\nf 1390//1390 392//392 4495//4495\nf 3772//3772 471//471 4922//4922\nf 4546//4546 311//311 51//51\nf 1849//1849 266//266 1189//1189\nf 75//75 5093//5093 28//28\nf 4362//4362 4994//4994 1387//1387\nf 1152//1152 2522//2522 1907//1907\nf 2988//2988 4994//4994 4362//4362\nf 343//343 2009//2009 2786//2786\nf 180//180 5087//5087 4905//4905\nf 652//652 1739//1739 1349//1349\nf 264//264 2024//2024 2786//2786\nf 264//264 206//206 2024//2024\nf 3161//3161 1726//1726 4070//4070\nf 206//206 120//120 4439//4439\nf 2673//2673 4765//4765 2767//2767\nf 5064//5064 331//331 158//158\nf 331//331 2727//2727 657//657\nf 264//264 2636//2636 2637//2637\nf 2636//2636 2890//2890 2637//2637\nf 2636//2636 4557//4557 2890//2890\nf 2972//2972 3137//3137 4708//4708\nf 4449//4449 2727//2727 1989//1989\nf 3137//3137 501//501 4708//4708\nf 4709//4709 4999//4999 155//155\nf 1442//1442 3386//3386 4477//4477\nf 4709//4709 4708//4708 4999//4999\nf 3386//3386 435//435 1557//1557\nf 1441//1441 330//330 2673//2673\nf 374//374 4725//4725 2072//2072\nf 1385//1385 1558//1558 3017//3017\nf 374//374 2072//2072 4328//4328\nf 1142//1142 151//151 4531//4531\nf 4487//4487 376//376 1287//1287\nf 1762//1762 2742//2742 1557//1557\nf 3057//3057 2689//2689 1188//1188\nf 3025//3025 2742//2742 4754//4754\nf 3455//3455 3386//3386 2855//2855\nf 384//384 2298//2298 119//119\nf 2389//2389 2524//2524 1644//1644\nf 4653//4653 2990//2990 4241//4241\nf 2742//2742 1762//1762 4754//4754\nf 4642//4642 3469//3469 1872//1872\nf 1349//1349 549//549 652//652\nf 4640//4640 2197//2197 4836//4836\nf 4555//4555 4849//4849 5051//5051\nf 2197//2197 4640//4640 1906//1906\nf 5133//5133 3135//3135 4606//4606\nf 3039//3039 119//119 2298//2298\nf 5058//5058 323//323 2579//2579\nf 632//632 2197//2197 4522//4522\nf 175//175 4717//4717 4804//4804\nf 296//296 3557//3557 4880//4880\nf 1593//1593 525//525 1726//1726\nf 2348//2348 101//101 2424//2424\nf 3111//3111 2436//2436 4485//4485\nf 2551//2551 1888//1888 4980//4980\nf 5133//5133 3039//3039 1578//1578\nf 3111//3111 4982//4982 2436//2436\nf 4578//4578 562//562 4485//4485\nf 5056//5056 4151//4151 4134//4134\nf 3111//3111 562//562 4503//4503\nf 4457//4457 1561//1561 1470//1470\nf 3512//3512 4414//4414 405//405\nf 1936//1936 4366//4366 2418//2418\nf 4845//4845 5132//5132 285//285\nf 405//405 4414//4414 4366//4366\nf 5019//5019 317//317 5061//5061\nf 317//317 4409//4409 4770//4770\nf 1470//1470 4414//4414 4457//4457\nf 4638//4638 2939//2939 408//408\nf 190//190 4364//4364 251//251\nf 3344//3344 878//878 3138//3138\nf 190//190 2418//2418 1470//1470\nf 5163//5163 2721//2721 2677//2677\nf 4575//4575 5131//5131 379//379\nf 4624//4624 4863//4863 2453//2453\nf 2680//2680 1676//1676 3127//3127\nf 341//341 4995//4995 1918//1918\nf 293//293 2038//2038 2365//2365\nf 2997//2997 3548//3548 1785//1785\nf 1943//1943 3026//3026 391//391\nf 2939//2939 5001//5001 408//408\nf 308//308 4866//4866 1353//1353\nf 4409//4409 4575//4575 4863//4863\nf 3214//3214 4644//4644 4596//4596\nf 561//561 116//116 809//809\nf 3050//3050 3128//3128 4438//4438\nf 4622//4622 3050//3050 2038//2038\nf 1834//1834 1835//1835 4622//4622\nf 4347//4347 3213//3213 1835//1835\nf 4616//4616 3050//3050 4438//4438\nf 1266//1266 1193//1193 3227//3227\nf 561//561 5080//5080 434//434\nf 1326//1326 1150//1150 722//722\nf 561//561 354//354 2007//2007\nf 1060//1060 2159//2159 2772//2772\nf 4691//4691 3220//3220 232//232\nf 2817//2817 2976//2976 2889//2889\nf 240//240 2007//2007 354//354\nf 2817//2817 240//240 2976//2976\nf 2787//2787 722//722 3423//3423\nf 1716//1716 3186//3186 432//432\nf 4794//4794 2433//2433 2807//2807\nf 4855//4855 233//233 4908//4908\nf 466//466 1440//1440 4365//4365\nf 466//466 3186//3186 1440//1440\nf 4365//4365 4631//4631 466//466\nf 4855//4855 470//470 5077//5077\nf 1838//1838 4408//4408 2597//2597\nf 4631//4631 2819//2819 429//429\nf 4631//4631 3028//3028 2819//2819\nf 466//466 424//424 3186//3186\nf 1384//1384 3186//3186 1716//1716\nf 298//298 4394//4394 4794//4794\nf 4720//4720 2528//2528 258//258\nf 1230//1230 3575//3575 762//762\nf 1790//1790 5021//5021 2537//2537\nf 4565//4565 2676//2676 2638//2638\nf 465//465 1790//1790 2537//2537\nf 258//258 2638//2638 5076//5076\nf 3108//3108 3717//3717 265//265\nf 2944//2944 5021//5021 2660//2660\nf 3108//3108 3716//3716 3717//3717\nf 2944//2944 1294//1294 4112//4112\nf 4309//4309 499//499 4565//4565\nf 3717//3717 1107//1107 1853//1853\nf 4652//4652 2444//2444 4704//4704\nf 2638//2638 2444//2444 5076//5076\nf 1800//1800 2676//2676 4565//4565\nf 4406//4406 5021//5021 4408//4408\nf 4025//4025 207//207 3717//3717\nf 543//543 4961//4961 4190//4190\nf 1158//1158 4025//4025 1499//1499\nf 4677//4677 3096//3096 3131//3131\nf 4975//4975 42//42 3125//3125\nf 4975//4975 4629//4629 4609//4609\nf 3183//3183 4566//4566 4556//4556\nf 543//543 2566//2566 219//219\nf 2328//2328 4556//4556 4566//4566\nf 3296//3296 2859//2859 2519//2519\nf 219//219 2566//2566 596//596\nf 1352//1352 3455//3455 2159//2159\nf 1711//1711 3070//3070 5069//5069\nf 5069//5069 2566//2566 2561//2561\nf 1490//1490 146//146 2505//2505\nf 394//394 3222//3222 1770//1770\nf 622//622 1069//1069 2386//2386\nf 5189//5189 615//615 4041//4041\nf 4964//4964 1174//1174 4698//4698\nf 3487//3487 1621//1621 4699//4699\nf 3373//3373 622//622 4116//4116\nf 52//52 1174//1174 1173//1173\nf 631//631 1267//1267 1186//1186\nf 2861//2861 2203//2203 1950//1950\nf 1389//1389 1418//1418 748//748\nf 1560//1560 351//351 5209//5209\nf 821//821 15//15 836//836\nf 268//268 3429//3429 1160//1160\nf 1636//1636 4588//4588 357//357\nf 3624//3624 2203//2203 2861//2861\nf 4533//4533 313//313 1788//1788\nf 343//343 342//342 356//356\nf 1592//1592 1398//1398 1952//1952\nf 4290//4290 2491//2491 3784//3784\nf 120//120 467//467 4439//4439\nf 4214//4214 4285//4285 1387//1387\nf 970//970 1515//1515 4984//4984\nf 3555//3555 1513//1513 3056//3056\nf 2009//2009 343//343 2300//2300\nf 4703//4703 501//501 2840//2840\nf 4437//4437 2669//2669 136//136\nf 5064//5064 261//261 5//5\nf 3388//3388 4772//4772 4673//4673\nf 4530//4530 656//656 657//657\nf 5064//5064 158//158 261//261\nf 4667//4667 4773//4773 4926//4926\nf 4773//4773 4930//4930 4749//4749\nf 320//320 329//329 4979//4979\nf 320//320 2357//2357 329//329\nf 320//320 2072//2072 2357//2357\nf 1986//1986 4493//4493 4754//4754\nf 435//435 1762//1762 1557//1557\nf 1441//1441 2767//2767 372//372\nf 558//558 3369//3369 1536//1536\nf 1762//1762 2990//2990 4754//4754\nf 4477//4477 3386//3386 1557//1557\nf 2358//2358 144//144 4531//4531\nf 4754//4754 2990//2990 4653//4653\nf 3553//3553 575//575 2958//2958\nf 328//328 151//151 329//329\nf 1928//1928 2850//2850 2653//2653\nf 328//328 2468//2468 1662//1662\nf 4675//4675 2527//2527 2468//2468\nf 4998//4998 5040//5040 2990//2990\nf 1382//1382 2871//2871 2624//2624\nf 4069//4069 4191//4191 1406//1406\nf 712//712 3784//3784 1592//1592\nf 1383//1383 4403//4403 4241//4241\nf 3905//3905 54//54 4768//4768\nf 1121//1121 4403//4403 3457//3457\nf 5059//5059 5133//5133 4606//4606\nf 2524//2524 4640//4640 4836//4836\nf 3469//3469 4642//4642 3468//3468\nf 1593//1593 4578//4578 1968//1968\nf 1666//1666 562//562 4578//4578\nf 5152//5152 2383//2383 2424//2424\nf 2551//2551 2390//2390 2006//2006\nf 525//525 1593//1593 1771//1771\nf 2411//2411 2991//2991 1909//1909\nf 1726//1726 3470//3470 1565//1565\nf 1665//1665 5056//5056 4134//4134\nf 3063//3063 2562//2562 2762//2762\nf 2158//2158 4284//4284 3451//3451\nf 3992//3992 3805//3805 3915//3915\nf 3998//3998 2705//2705 1107//1107\nf 562//562 1666//1666 367//367\nf 962//962 1820//1820 5010//5010\nf 4819//4819 94//94 4763//4763\nf 4573//4573 243//243 4410//4410\nf 1561//1561 340//340 4736//4736\nf 4366//4366 292//292 405//405\nf 2977//2977 190//190 251//251\nf 5048//5048 3515//3515 409//409\nf 4138//4138 748//748 5023//5023\nf 3554//3554 3552//3552 492//492\nf 163//163 5063//5063 4364//4364\nf 1632//1632 163//163 4364//4364\nf 878//878 3344//3344 3267//3267\nf 1569//1569 4280//4280 3904//3904\nf 1523//1523 2872//2872 1120//1120\nf 1763//1763 1682//1682 4994//4994\nf 694//694 1293//1293 2591//2591\nf 4995//4995 341//341 1523//1523\nf 4151//4151 4142//4142 3622//3622\nf 4995//4995 1523//1523 1120//1120\nf 4859//4859 362//362 278//278\nf 4859//4859 125//125 169//169\nf 4070//4070 4993//4993 3161//3161\nf 134//134 4822//4822 302//302\nf 1835//1835 3128//3128 3050//3050\nf 193//193 308//308 153//153\nf 1388//1388 4347//4347 1834//1834\nf 2038//2038 293//293 1943//1943\nf 4622//4622 3139//3139 1834//1834\nf 3139//3139 391//391 2939//2939\nf 3139//3139 4622//4622 391//391\nf 293//293 4572//4572 1943//1943\nf 4347//4347 3301//3301 1444//1444\nf 293//293 250//250 4572//4572\nf 1382//1382 3058//3058 3442//3442\nf 5205//5205 4815//4815 124//124\nf 354//354 561//561 434//434\nf 1382//1382 3301//3301 2871//2871\nf 1444//1444 3301//3301 1382//1382\nf 3127//3127 1706//1706 4339//4339\nf 47//47 4597//4597 205//205\nf 1701//1701 4616//4616 4438//4438\nf 4785//4785 4617//4617 177//177\nf 4646//4646 4666//4666 2071//2071\nf 1202//1202 3213//3213 1444//1444\nf 3371//3371 1492//1492 228//228\nf 558//558 589//589 3369//3369\nf 3127//3127 5130//5130 2680//2680\nf 3220//3220 395//395 232//232\nf 4280//4280 3013//3013 3827//3827\nf 1716//1716 3220//3220 1384//1384\nf 1716//1716 395//395 3220//3220\nf 1716//1716 239//239 395//395\nf 3136//3136 3443//3443 3461//3461\nf 3132//3132 4365//4365 1386//1386\nf 4990//4990 1440//1440 1384//1384\nf 2989//2989 4706//4706 4058//4058\nf 380//380 5020//5020 1782//1782\nf 2989//2989 470//470 4706//4706\nf 465//465 2769//2769 2596//2596\nf 3827//3827 2860//2860 3443//3443\nf 2940//2940 3456//3456 5154//5154\nf 1838//1838 4720//4720 4621//4621\nf 1782//1782 5020//5020 2536//2536\nf 2537//2537 5021//5021 2944//2944\nf 298//298 4621//4621 4394//4394\nf 2528//2528 4309//4309 4565//4565\nf 258//258 5076//5076 4705//4705\nf 499//499 1800//1800 4565//4565\nf 499//499 265//265 1800//1800\nf 672//672 4323//4323 367//367\nf 4404//4404 4309//4309 2769//2769\nf 431//431 499//499 4309//4309\nf 1351//1351 3064//3064 1575//1575\nf 2666//2666 559//559 4267//4267\nf 4151//4151 1261//1261 4142//4142\nf 4309//4309 4404//4404 431//431\nf 1501//1501 5075//5075 500//500\nf 1501//1501 500//500 3174//3174\nf 499//499 431//431 3108//3108\nf 4611//4611 5015//5015 1158//1158\nf 4611//4611 1491//1491 1564//1564\nf 3444//3444 2689//2689 3057//3057\nf 2259//2259 4626//4626 1556//1556\nf 1564//1564 5015//5015 4611//4611\nf 4730//4730 2708//2708 102//102\nf 4549//4549 1711//1711 4983//4983\nf 3131//3131 1564//1564 1491//1491\nf 3096//3096 2328//2328 1631//1631\nf 368//368 2859//2859 1328//1328\nf 5073//5073 1732//1732 3012//3012\nf 3297//3297 1268//1268 1764//1764\nf 1985//1985 1714//1714 2657//2657\nf 1714//1714 1985//1985 1538//1538\nf 4963//4963 5189//5189 267//267\nf 4963//4963 4614//4614 146//146\nf 156//156 3130//3130 5002//5002\nf 2505//2505 4614//4614 4483//4483\nf 4983//4983 1714//1714 4549//4549\nf 5189//5189 4041//4041 4683//4683\nf 2329//2329 2508//2508 3130//3130\nf 1569//1569 4110//4110 3013//3013\nf 2981//2981 2425//2425 2944//2944\nf 1418//1418 3350//3350 1160//1160\nf 4695//4695 173//173 1105//1105\nf 1622//1622 631//631 5054//5054\nf 268//268 3623//3623 269//269\nf 4695//4695 821//821 834//834\nf 1636//1636 173//173 4588//4588\nf 3926//3926 970//970 3624//3624\nf 1891//1891 2886//2886 269//269\nf 2425//2425 2981//2981 3221//3221\nf 3542//3542 4984//4984 2818//2818\nf 343//343 356//356 4472//4472\nf 2890//2890 4557//4557 1712//1712\nf 4204//4204 4339//4339 1706//1706\nf 1566//1566 3373//3373 1763//1763\nf 1566//1566 4663//4663 2820//2820\nf 4134//4134 3622//3622 4253//4253\nf 1324//1324 4765//4765 501//501\nf 2818//2818 4984//4984 2820//2820\nf 264//264 120//120 206//206\nf 120//120 4197//4197 467//467\nf 4926//4926 148//148 261//261\nf 4772//4772 3388//3388 152//152\nf 98//98 185//185 3384//3384\nf 3451//3451 3459//3459 3137//3137\nf 3459//3459 1324//1324 3137//3137\nf 334//334 4217//4217 3074//3074\nf 4151//4151 3622//3622 4134//4134\nf 95//95 4745//4745 1596//1596\nf 4745//4745 286//286 1596//1596\nf 2024//2024 206//206 185//185\nf 4745//4745 4837//4837 286//286\nf 3459//3459 4284//4284 2899//2899\nf 2810//2810 2967//2967 2956//2956\nf 1515//1515 1700//1700 2491//2491\nf 3455//3455 3701//3701 435//435\nf 2855//2855 3386//3386 1442//1442\nf 3025//3025 1904//1904 2468//2468\nf 1724//1724 1383//1383 5040//5040\nf 1352//1352 3057//3057 3701//3701\nf 3057//3057 1188//1188 3701//3701\nf 5017//5017 2578//2578 323//323\nf 2746//2746 4640//4640 2524//2524\nf 3461//3461 3443//3443 3222//3222\nf 3824//3824 3267//3267 4692//4692\nf 1194//1194 4991//4991 3457//3457\nf 5017//5017 1121//1121 4991//4991\nf 4991//4991 1121//1121 3457//3457\nf 4555//4555 5051//5051 423//423\nf 367//367 4503//4503 562//562\nf 2384//2384 390//390 2348//2348\nf 1666//1666 1593//1593 3393//3393\nf 5657//5657 2654//2654 1143//1143\nf 3161//3161 3393//3393 1593//1593\nf 101//101 5114//5114 1993//1993\nf 338//338 2384//2384 2383//2383\nf 1872//1872 3469//3469 5152//5152\nf 493//493 4457//4457 4414//4414\nf 1872//1872 1993//1993 2579//2579\nf 2991//2991 517//517 5056//5056\nf 4150//4150 3267//3267 3344//3344\nf 1454//1454 607//607 1589//1589\nf 1739//1739 982//982 493//493\nf 2783//2783 982//982 3344//3344\nf 2783//2783 4457//4457 493//493\nf 1561//1561 2783//2783 3138//3138\nf 5048//5048 1561//1561 3138//3138\nf 684//684 3511//3511 2960//2960\nf 1406//1406 1676//1676 2680//2680\nf 293//293 2365//2365 4666//4666\nf 4691//4691 1327//1327 3220//3220\nf 1444//1444 3213//3213 4347//4347\nf 4785//4785 63//63 4617//4617\nf 2038//2038 1943//1943 391//391\nf 2888//2888 1266//1266 3227//3227\nf 4407//4407 1266//1266 2888//2888\nf 2901//2901 4761//4761 4479//4479\nf 4407//4407 2888//2888 2889//2889\nf 2439//2439 2960//2960 4211//4211\nf 930//930 4267//4267 4153//4153\nf 2958//2958 1492//1492 1661//1661\nf 2976//2976 383//383 1202//1202\nf 305//305 4510//4510 4977//4977\nf 930//930 1386//1386 780//780\nf 241//241 4714//4714 88//88\nf 380//380 3132//3132 1386//1386\nf 4721//4721 4561//4561 4577//4577\nf 436//436 434//434 4977//4977\nf 3511//3511 2536//2536 2960//2960\nf 4705//4705 470//470 4394//4394\nf 2434//2434 2536//2536 4406//4406\nf 4153//4153 5020//5020 380//380\nf 466//466 4631//4631 429//429\nf 4365//4365 3132//3132 4631//4631\nf 4855//4855 5077//5077 233//233\nf 367//367 4323//4323 4503//4503\nf 2960//2960 2536//2536 5020//5020\nf 4993//4993 672//672 3393//3393\nf 298//298 1779//1779 1838//1838\nf 3575//3575 1108//1108 762//762\nf 5016//5016 3716//3716 3108//3108\nf 2596//2596 1790//1790 465//465\nf 5057//5057 2328//2328 3096//3096\nf 1631//1631 5075//5075 5015//5015\nf 5075//5075 5050//5050 500//500\nf 5075//5075 1631//1631 4566//4566\nf 2978//2978 3131//3131 1491//1491\nf 1538//1538 4549//4549 1714//1714\nf 1158//1158 207//207 4025//4025\nf 3297//3297 1764//1764 4549//4549\nf 1631//1631 5015//5015 1564//1564\nf 3056//3056 2665//2665 3369//3369\nf 1631//1631 1564//1564 3096//3096\nf 3297//3297 1328//1328 3296//3296\nf 3096//3096 1564//1564 3131//3131\nf 3113//3113 1464//1464 5057//5057\nf 2749//2749 4554//4554 1871//1871\nf 1871//1871 4976//4976 2749//2749\nf 2846//2846 1268//1268 3296//3296\nf 1565//1565 4070//4070 1726//1726\nf 1268//1268 3297//3297 3296//3296\nf 1464//1464 4556//4556 5057//5057\nf 1764//1764 1268//1268 1653//1653\nf 4501//4501 1711//1711 1764//1764\nf 3461//3461 394//394 1513//1513\nf 1490//1490 2891//2891 4458//4458\nf 4963//4963 596//596 4614//4614\nf 1173//1173 4216//4216 4658//4658\nf 1334//1334 3369//3369 2665//2665\nf 4190//4190 4961//4961 2708//2708\nf 1770//1770 3130//3130 394//394\nf 1569//1569 5047//5047 4110//4110\nf 1334//1334 4458//4458 2891//2891\nf 360//360 4600//4600 2708//2708\nf 3061//3061 1267//1267 631//631\nf 1060//1060 4221//4221 1352//1352\nf 1947//1947 1745//1745 4466//4466\nf 4683//4683 4657//4657 267//267\nf 3061//3061 1555//1555 1267//1267\nf 4683//4683 2198//2198 352//352\nf 4816//4816 52//52 4608//4608\nf 388//388 389//389 836//836\nf 358//358 3429//3429 2886//2886\nf 3551//3551 5023//5023 4320//4320\nf 4665//4665 5047//5047 2709//2709\nf 2408//2408 2614//2614 2428//2428\nf 5054//5054 631//631 4110//4110\nf 4110//4110 5047//5047 5054//5054\nf 4966//4966 554//554 4152//4152\nf 472//472 2861//2861 2521//2521\nf 5047//5047 1569//1569 4262//4262\nf 388//388 4988//4988 1506//1506\nf 427//427 357//357 3209//3209\nf 1661//1661 3553//3553 2958//2958\nf 2916//2916 2850//2850 2875//2875\nf 4988//4988 4086//4086 1506//1506\nf 2974//2974 389//389 388//388\nf 1418//1418 1160//1160 748//748\nf 5008//5008 3209//3209 357//357\nf 4401//4401 3513//3513 2412//2412\nf 4253//4253 1580//1580 4134//4134\nf 5008//5008 357//357 4588//4588\nf 5008//5008 269//269 3623//3623\nf 3925//3925 141//141 3068//3068\nf 2170//2170 3068//3068 141//141\nf 2608//2608 357//357 427//427\nf 1389//1389 748//748 3225//3225\nf 1398//1398 1592//1592 3926//3926\nf 1907//1907 2522//2522 2521//2521\nf 2504//2504 3624//3624 2790//2790\nf 1907//1907 1390//1390 4495//4495\nf 3624//3624 970//970 2203//2203\nf 1849//1849 3//3 4620//4620\nf 4322//4322 4476//4476 1294//1294\nf 3623//3623 2170//2170 5008//5008\nf 3350//3350 268//268 1160//1160\nf 1763//1763 2988//2988 1566//1566\nf 306//306 1891//1891 269//269\nf 1700//1700 3926//3926 1592//1592\nf 2890//2890 1712//1712 2988//2988\nf 1907//1907 4495//4495 1152//1152\nf 4495//4495 392//392 1788//1788\nf 3542//3542 2203//2203 970//970\nf 4362//4362 2890//2890 2988//2988\nf 98//98 2024//2024 185//185\nf 688//688 1351//1351 1589//1589\nf 1712//1712 1566//1566 2988//2988\nf 2940//2940 817//817 4502//4502\nf 343//343 4472//4472 2300//2300\nf 98//98 3384//3384 1191//1191\nf 1950//1950 2203//2203 3542//3542\nf 3137//3137 2972//2972 3451//3451\nf 970//970 4984//4984 3542//3542\nf 2899//2899 5153//5153 3459//3459\nf 4252//4252 4282//4282 2624//2624\nf 627//627 5000//5000 2767//2767\nf 4143//4143 3552//3552 3411//3411\nf 1739//1739 652//652 689//689\nf 1387//1387 3451//3451 2972//2972\nf 627//627 4765//4765 1324//1324\nf 2800//2800 2438//2438 2397//2397\nf 4703//4703 4999//4999 501//501\nf 467//467 4708//4708 4709//4709\nf 2393//2393 2630//2630 2768//2768\nf 3017//3017 2650//2650 1385//1385\nf 334//334 3074//3074 4530//4530\nf 1602//1602 5153//5153 2899//2899\nf 4192//4192 2879//2879 2846//2846\nf 4703//4703 2840//2840 2564//2564\nf 2673//2673 330//330 2669//2669\nf 2978//2978 1491//1491 3574//3574\nf 372//372 5000//5000 588//588\nf 4998//4998 2990//2990 1762//1762\nf 1854//1854 5151//5151 2503//2503\nf 1662//1662 1904//1904 1932//1932\nf 1662//1662 151//151 328//328\nf 2926//2926 3181//3181 1546//1546\nf 4998//4998 435//435 3701//3701\nf 4487//4487 2358//2358 1932//1932\nf 323//323 4522//4522 1906//1906\nf 5045//5045 4555//4555 423//423\nf 4403//4403 1493//1493 4435//4435\nf 1385//1385 2650//2650 372//372\nf 1194//1194 1119//1119 4991//4991\nf 1724//1724 5040//5040 1188//1188\nf 2872//2872 4191//4191 4321//4321\nf 1383//1383 3457//3457 4403//4403\nf 2579//2579 4642//4642 1872//1872\nf 1493//1493 1121//1121 5017//5017\nf 4642//4642 2579//2579 2578//2578\nf 1493//1493 4403//4403 1121//1121\nf 4998//4998 1188//1188 5040//5040\nf 1906//1906 5017//5017 323//323\nf 1906//1906 1493//1493 5017//5017\nf 688//688 4401//4401 1351//1351\nf 1565//1565 3470//3470 2156//2156\nf 2746//2746 4435//4435 4640//4640\nf 2156//2156 3469//3469 3468//3468\nf 1493//1493 1906//1906 4640//4640\nf 2578//2578 1119//1119 4642//4642\nf 2746//2746 4653//4653 4435//4435\nf 2746//2746 2524//2524 2389//2389\nf 1726//1726 525//525 3470//3470\nf 5114//5114 5058//5058 1993//1993\nf 1536//1536 464//464 558//558\nf 2578//2578 4991//4991 1119//1119\nf 3470//3470 525//525 5152//5152\nf 2436//2436 1888//1888 2551//2551\nf 1888//1888 4723//4723 4980//4980\nf 517//517 4982//4982 2936//2936\nf 1666//1666 3393//3393 367//367\nf 4485//4485 2436//2436 2551//2551\nf 2348//2348 2424//2424 2383//2383\nf 1665//1665 4134//4134 3512//3512\nf 4573//4573 4410//4410 4893//4893\nf 493//493 982//982 2783//2783\nf 4366//4366 4414//4414 2418//2418\nf 4150//4150 3344//3344 982//982\nf 2991//2991 4982//4982 517//517\nf 1628//1628 381//381 409//409\nf 517//517 2936//2936 1261//1261\nf 3111//3111 2936//2936 4982//4982\nf 5049//5049 878//878 3824//3824\nf 2783//2783 3344//3344 3138//3138\nf 4737//4737 409//409 381//381\nf 1675//1675 5049//5049 1706//1706\nf 1739//1739 493//493 1349//1349\nf 1919//1919 2453//2453 379//379\nf 1706//1706 5049//5049 3824//3824\nf 1120//1120 408//408 4995//4995\nf 1406//1406 1523//1523 2929//2929\nf 2418//2418 4414//4414 1470//1470\nf 3515//3515 5049//5049 1628//1628\nf 878//878 5049//5049 3515//3515\nf 3134//3134 4142//4142 1261//1261\nf 1675//1675 381//381 1628//1628\nf 408//408 5001//5001 4995//4995\nf 78//78 83//83 4883//4883\nf 83//83 4859//4859 169//169\nf 2929//2929 341//341 4680//4680\nf 3460//3460 2343//2343 598//598\nf 492//492 4638//4638 3554//3554\nf 1388//1388 3552//3552 4143//4143\nf 3373//3373 4116//4116 1763//1763\nf 1565//1565 4304//4304 4070//4070\nf 492//492 3552//3552 1388//1388\nf 2871//2871 3301//3301 4143//4143\nf 408//408 1120//1120 3754//3754\nf 1444//1444 1382//1382 3442//3442\nf 2888//2888 1492//1492 3371//3371\nf 492//492 3139//3139 4638//4638\nf 1388//1388 4143//4143 3301//3301\nf 5154//5154 2823//2823 2958//2958\nf 2976//2976 4407//4407 2889//2889\nf 3456//3456 1150//1150 1326//1326\nf 3456//3456 2940//2940 1150//1150\nf 2889//2889 2888//2888 3371//3371\nf 1202//1202 1444//1444 3442//3442\nf 3227//3227 1661//1661 1492//1492\nf 722//722 4990//4990 1327//1327\nf 2823//2823 3456//3456 228//228\nf 2976//2976 240//240 383//383\nf 305//305 4977//4977 4612//4612\nf 4323//4323 1829//1829 1678//1678\nf 3186//3186 424//424 432//432\nf 1660//1660 1150//1150 2940//2940\nf 1589//1589 607//607 688//688\nf 4513//4513 239//239 2007//2007\nf 429//429 2819//2819 88//88\nf 2787//2787 4348//4348 559//559\nf 1706//1706 3824//3824 4204//4204\nf 1580//1580 4253//4253 549//549\nf 930//930 3902//3902 2666//2666\nf 4720//4720 2597//2597 2596//2596\nf 4669//4669 1585//1585 1779//1779\nf 4621//4621 4720//4720 258//258\nf 1779//1779 1782//1782 2434//2434\nf 1294//1294 2944//2944 2425//2425\nf 1782//1782 2536//2536 2434//2434\nf 1838//1838 2434//2434 4408//4408\nf 4621//4621 298//298 1838//1838\nf 2944//2944 4112//4112 2537//2537\nf 1454//1454 1230//1230 3027//3027\nf 2769//2769 4309//4309 2528//2528\nf 2536//2536 3511//3511 4406//4406\nf 2597//2597 4720//4720 1838//1838\nf 4406//4406 3511//3511 2660//2660\nf 2456//2456 4585//4585 1786//1786\nf 2769//2769 2528//2528 2596//2596\nf 207//207 1501//1501 3174//3174\nf 1575//1575 3575//3575 1589//1589\nf 2555//2555 5330//5330 5791//5791\nf 1108//1108 5016//5016 431//431\nf 4582//4582 155//155 4703//4703\nf 5016//5016 1575//1575 3064//3064\nf 5076//5076 4652//4652 4506//4506\nf 4611//4611 1499//1499 2717//2717\nf 2903//2903 2956//2956 2679//2679\nf 3131//3131 4626//4626 4677//4677\nf 256//256 4704//4704 1984//1984\nf 4218//4218 818//818 1193//1193\nf 207//207 1158//1158 1501//1501\nf 5015//5015 1501//1501 1158//1158\nf 5076//5076 2444//2444 4652//4652\nf 4404//4404 2769//2769 3104//3104\nf 1589//1589 3575//3575 1454//1454\nf 3058//3058 4218//4218 1193//1193\nf 5015//5015 5075//5075 1501//1501\nf 1107//1107 3717//3717 3716//3716\nf 553//553 3744//3744 4150//4150\nf 1580//1580 549//549 1349//1349\nf 4404//4404 1108//1108 431//431\nf 3134//3134 2936//2936 4503//4503\nf 2912//2912 1732//1732 2998//2998\nf 1579//1579 5460//5460 5808//5808\nf 4038//4038 658//658 3599//3599\nf 1744//1744 1397//1397 1097//1097\nf 5460//5460 966//966 967//967\nf 3776//3776 5808//5808 1019//1019\nf 3673//3673 3767//3767 1397//1397\nf 5450//5450 2201//2201 5521//5521\nf 3679//3679 1264//1264 3946//3946\nf 1022//1022 5487//5487 2682//2682\nf 1362//1362 1312//1312 5741//5741\nf 1022//1022 3605//3605 5033//5033\nf 5276//5276 5156//5156 1109//1109\nf 5731//5731 1097//1097 1397//1397\nf 1097//1097 3776//3776 1744//1744\nf 2152//2152 5400//5400 1052//1052\nf 1314//1314 5276//5276 3713//3713\nf 3835//3835 3946//3946 1264//1264\nf 2275//2275 922//922 3679//3679\nf 6109//6109 5906//5906 5501//5501\nf 788//788 2193//2193 2195//2195\nf 5683//5683 6106//6106 5546//5546\nf 1088//1088 5502//5502 2077//2077\nf 5502//5502 6137//6137 5546//5546\nf 6106//6106 1017//1017 1059//1059\nf 3536//3536 2222//2222 2107//2107\nf 1175//1175 1176//1176 1093//1093\nf 1621//1621 4216//4216 4964//4964\nf 2885//2885 222//222 4552//4552\nf 3061//3061 1622//1622 5070//5070\nf 569//569 449//449 533//533\nf 2745//2745 1818//1818 4421//4421\nf 1818//1818 2740//2740 4421//4421\nf 1728//1728 4490//4490 419//419\nf 2561//2561 2657//2657 4983//4983\nf 2657//2657 1714//1714 4983//4983\nf 1174//1174 52//52 2198//2198\nf 186//186 439//439 36//36\nf 5114//5114 2298//2298 2394//2394\nf 390//390 4628//4628 3135//3135\nf 4522//4522 5058//5058 2394//2394\nf 4671//4671 3557//3557 3135//3135\nf 44//44 4821//4821 55//55\nf 384//384 119//119 4519//4519\nf 5134//5134 5418//5418 1099//1099\nf 6112//6112 5645//5645 6102//6102\nf 936//936 3519//3519 5326//5326\nf 1032//1032 3603//3603 5350//5350\nf 6107//6107 1209//1209 5278//5278\nf 5927//5927 823//823 3523//3523\nf 2157//2157 3504//3504 823//823\nf 1237//1237 6059//6059 6135//6135\nf 2066//2066 3155//3155 1426//1426\nf 3736//3736 968//968 5394//5394\nf 6135//6135 5716//5716 1426//1426\nf 687//687 6135//6135 3245//3245\nf 3155//3155 6031//6031 1426//1426\nf 1001//1001 3675//3675 3677//3677\nf 5798//5798 2088//2088 2066//2066\nf 4193//4193 3989//3989 4047//4047\nf 5606//5606 3688//3688 3620//3620\nf 4090//4090 2213//2213 745//745\nf 2360//2360 4962//4962 909//909\nf 5150//5150 1000//1000 4031//4031\nf 3918//3918 3801//3801 5519//5519\nf 604//604 692//692 4962//4962\nf 2294//2294 2295//2295 745//745\nf 1016//1016 5546//5546 6106//6106\nf 843//843 2141//2141 840//840\nf 6128//6128 5428//5428 3560//3560\nf 3641//3641 5509//5509 3668//3668\nf 4447//4447 1356//1356 1357//1357\nf 2267//2267 4042//4042 530//530\nf 522//522 2057//2057 2303//2303\nf 641//641 4224//4224 4242//4242\nf 1587//1587 3337//3337 4095//4095\nf 4042//4042 624//624 522//522\nf 3912//3912 2271//2271 4077//4077\nf 3828//3828 697//697 901//901\nf 2291//2291 5111//5111 791//791\nf 4145//4145 4056//4056 801//801\nf 1043//1043 919//919 5847//5847\nf 5811//5811 913//913 6022//6022\nf 954//954 4279//4279 5622//5622\nf 3796//3796 2202//2202 4279//4279\nf 5465//5465 964//964 5755//5755\nf 5490//5490 5569//5569 5784//5784\nf 933//933 2138//2138 5811//5811\nf 933//933 5779//5779 3418//3418\nf 3785//3785 2127//2127 3808//3808\nf 3866//3866 2380//2380 2091//2091\nf 5652//5652 6090//6090 2108//2108\nf 5815//5815 2284//2284 1584//1584\nf 3175//3175 1363//1363 5699//5699\nf 1210//1210 5735//5735 3576//3576\nf 3521//3521 933//933 5811//5811\nf 5465//5465 6101//6101 964//964\nf 4167//4167 2816//2816 4411//4411\nf 2511//2511 4095//4095 5043//5043\nf 1016//1016 6106//6106 1059//1059\nf 5122//5122 4244//4244 5106//5106\nf 1122//1122 1022//1022 2682//2682\nf 658//658 4038//4038 5238//5238\nf 3775//3775 718//718 1019//1019\nf 1440//1440 4990//4990 780//780\nf 492//492 1388//1388 1834//1834\nf 5048//5048 340//340 1561//1561\nf 4997//4997 4736//4736 340//340\nf 3134//3134 1261//1261 2936//2936\nf 2899//2899 4284//4284 608//608\nf 3034//3034 4261//4261 1442//1442\nf 3221//3221 4322//4322 2425//2425\nf 597//597 607//607 1454//1454\nf 4988//4988 133//133 4086//4086\nf 4705//4705 5076//5076 4506//4506\nf 1388//1388 3301//3301 4347//4347\nf 4321//4321 1120//1120 2872//2872\nf 4449//4449 1989//1989 155//155\nf 2820//2820 1069//1069 3373//3373\nf 2786//2786 2024//2024 342//342\nf 222//222 4086//4086 2//2\nf 3456//3456 2823//2823 5154//5154\nf 4407//4407 1202//1202 3442//3442\nf 2680//2680 5130//5130 4069//4069\nf 1561//1561 4457//4457 2783//2783\nf 2468//2468 328//328 4675//4675\nf 3384//3384 3388//3388 1191//1191\nf 4282//4282 3058//3058 2624//2624\nf 4221//4221 3444//3444 3057//3057\nf 4963//4963 267//267 4796//4796\nf 2599//2599 1732//1732 2912//2912\nf 135//135 4704//4704 127//127\nf 2819//2819 2807//2807 241//241\nf 4513//4513 395//395 239//239\nf 232//232 2817//2817 2889//2889\nf 354//354 5067//5067 240//240\nf 4622//4622 1835//1835 3050//3050\nf 4638//4638 3139//3139 2939//2939\nf 4503//4503 2936//2936 3111//3111\nf 632//632 2394//2394 384//384\nf 320//320 4979//4979 4583//4583\nf 4694//4694 286//286 4930//4930\nf 2890//2890 4362//4362 2637//2637\nf 2704//2704 27//27 166//166\nf 4891//4891 4865//4865 4922//4922\nf 2837//2837 3173//3173 1839//1839\nf 4473//4473 2885//2885 1502//1502\nf 4626//4626 2978//2978 368//368\nf 4112//4112 465//465 2537//2537\nf 2769//2769 465//465 3104//3104\nf 425//425 116//116 432//432\nf 128//128 4689//4689 4806//4806\nf 137//137 4967//4967 5080//5080\nf 137//137 375//375 1//1\nf 4610//4610 82//82 4596//4596\nf 3056//3056 3369//3369 589//589\nf 2977//2977 2418//2418 190//190\nf 2418//2418 2977//2977 1936//1936\nf 4887//4887 70//70 4593//4593\nf 632//632 3973//3973 2197//2197\nf 2197//2197 1906//1906 4522//4522\nf 2072//2072 4583//4583 4328//4328\nf 4437//4437 2668//2668 1806//1806\nf 415//415 2668//2668 3462//3462\nf 1566//1566 1712//1712 4663//4663\nf 4695//4695 834//834 306//306\nf 4660//4660 4707//4707 4662//4662\nf 1622//1622 5054//5054 351//351\nf 367//367 3393//3393 672//672\nf 5050//5050 3183//3183 256//256\nf 265//265 3717//3717 207//207\nf 2676//2676 1984//1984 2444//2444\nf 383//383 240//240 5067//5067\nf 198//198 31//31 1353//1353\nf 4479//4479 4761//4761 4604//4604\nf 5131//5131 1880//1880 4737//4737\nf 238//238 2970//2970 4577//4577\nf 4834//4834 99//99 4851//4851\nf 3388//3388 4673//4673 1191//1191\nf 286//286 4837//4837 4749//4749\nf 4514//4514 4425//4425 399//399\nf 4452//4452 4453//4453 4912//4912\nf 1950//1950 3542//3542 1390//1390\nf 2608//2608 427//427 2790//2790\nf 1636//1636 357//357 2608//2608\nf 1621//1621 2329//2329 5070//5070\nf 4947//4947 4254//4254 360//360\nf 127//127 4704//4704 256//256\nf 4566//4566 1631//1631 2328//2328\nf 4365//4365 1440//1440 780//780\nf 4122//4122 4888//4888 4714//4714\nf 1835//1835 3213//3213 3128//3128\nf 1979//1979 2887//2887 2812//2812\nf 4789//4789 3380//3380 114//114\nf 1190//1190 2384//2384 338//338\nf 4484//4484 4768//4768 44//44\nf 4630//4630 4782//4782 4670//4670\nf 3074//3074 656//656 4530//4530\nf 4760//4760 166//166 5046//5046\nf 173//173 1636//1636 3896//3896\nf 1779//1779 2434//2434 1838//1838\nf 5161//5161 245//245 4889//4889\nf 4714//4714 241//241 4122//4122\nf 4737//4737 4680//4680 379//379\nf 53//53 4812//4812 4883//4883\nf 159//159 4777//4777 4748//4748\nf 4813//4813 97//97 288//288\nf 2668//2668 136//136 274//274\nf 185//185 1989//1989 3384//3384\nf 5053//5053 4830//4830 4474//4474\nf 4922//4922 471//471 4891//4891\nf 5207//5207 4637//4637 4636//4636\nf 5080//5080 561//561 124//124\nf 4553//4553 191//191 426//426\nf 213//213 4654//4654 212//212\nf 114//114 3380//3380 4980//4980\nf 4593//4593 4524//4524 11//11\nf 129//129 2395//2395 423//423\nf 4849//4849 4484//4484 187//187\nf 5062//5062 4777//4777 159//159\nf 224//224 4633//4633 275//275\nf 3462//3462 3141//3141 415//415\nf 4816//4816 4814//4814 52//52\nf 5071//5071 102//102 216//216\nf 215//215 4742//4742 4846//4846\nf 412//412 4436//4436 2422//2422\nf 121//121 4711//4711 4784//4784\nf 4785//4785 177//177 4915//4915\nf 4650//4650 400//400 276//276\nf 4928//4928 4974//4974 4671//4671\nf 230//230 4775//4775 2499//2499\nf 279//279 2538//2538 188//188\nf 182//182 5068//5068 4697//4697\nf 3121//3121 4295//4295 2952//2952\nf 97//97 4633//4633 4788//4788\nf 275//275 97//97 4813//4813\nf 4781//4781 347//347 4718//4718\nf 4627//4627 4464//4464 38//38\nf 4832//4832 4732//4732 170//170\nf 4734//4734 4809//4809 69//69\nf 2367//2367 2037//2037 5093//5093\nf 4955//4955 315//315 4662//4662\nf 2329//2329 3061//3061 5070//5070\nf 4448//4448 533//533 449//449\nf 4742//4742 4601//4601 45//45\nf 4799//4799 215//215 4595//4595\nf 2445//2445 4905//4905 5087//5087\nf 255//255 4636//4636 4637//4637\nf 4508//4508 4398//4398 527//527\nf 1//1 4803//4803 407//407\nf 4884//4884 307//307 128//128\nf 47//47 4786//4786 4785//4785\nf 4248//4248 3120//3120 442//442\nf 5006//5006 402//402 403//403\nf 5092//5092 191//191 4494//4494\nf 411//411 690//690 277//277\nf 125//125 4859//4859 278//278\nf 4901//4901 2499//2499 4775//4775\nf 2592//2592 4623//4623 3885//3885\nf 2918//2918 370//370 462//462\nf 4887//4887 4726//4726 150//150\nf 448//448 876//876 4387//4387\nf 4174//4174 4295//4295 4234//4234\nf 49//49 235//235 4562//4562\nf 184//184 2345//2345 81//81\nf 2954//2954 4574//4574 1583//1583\nf 4832//4832 4312//4312 4873//4873\nf 512//512 5184//5184 5011//5011\nf 204//204 4630//4630 4670//4670\nf 4507//4507 469//469 4929//4929\nf 309//309 4512//4512 396//396\nf 4673//4673 4772//4772 160//160\nf 24//24 4759//4759 105//105\nf 437//437 311//311 4968//4968\nf 4620//4620 4731//4731 132//132\nf 112//112 56//56 5082//5082\nf 2490//2490 287//287 4389//4389\nf 3081//3081 369//369 4497//4497\nf 290//290 133//133 4882//4882\nf 4499//4499 4416//4416 4651//4651\nf 5386//5386 5276//5276 5912//5912\nf 4244//4244 5122//5122 484//484\nf 1411//1411 4682//4682 4799//4799\nf 4369//4369 4289//4289 4316//4316\nf 463//463 4981//4981 2317//2317\nf 364//364 595//595 321//321\nf 4249//4249 2511//2511 5165//5165\nf 17//17 107//107 4542//4542\nf 4510//4510 2071//2071 1701//1701\nf 324//324 4915//4915 4442//4442\nf 2243//2243 4589//4589 625//625\nf 3352//3352 421//421 4413//4413\nf 282//282 4835//4835 4942//4942\nf 4387//4387 401//401 448//448\nf 442//442 4433//4433 4856//4856\nf 4960//4960 324//324 4442//4442\nf 3931//3931 1544//1544 3089//3089\nf 397//397 96//96 4807//4807\nf 35//35 4443//4443 2612//2612\nf 4234//4234 410//410 514//514\nf 4928//4928 4671//4671 4827//4827\nf 445//445 2592//2592 3885//3885\nf 4697//4697 4821//4821 4792//4792\nf 4792//4792 54//54 4519//4519\nf 5211//5211 81//81 2345//2345\nf 4746//4746 4918//4918 235//235\nf 2250//2250 4296//4296 4175//4175\nf 2808//2808 458//458 26//26\nf 99//99 244//244 249//249\nf 178//178 4543//4543 5091//5091\nf 4938//4938 4619//4619 2913//2913\nf 1321//1321 4969//4969 4968//4968\nf 4579//4579 160//160 4523//4523\nf 4//4 3698//3698 4811//4811\nf 157//157 312//312 4759//4759\nf 24//24 157//157 4759//4759\nf 65//65 4//4 5082//5082\nf 5093//5093 2037//2037 80//80\nf 4970//4970 4386//4386 4841//4841\nf 4459//4459 2017//2017 2740//2740\nf 2//2 4086//4086 103//103\nf 4904//4904 36//36 439//439\nf 4185//4185 4113//4113 485//485\nf 485//485 4838//4838 4548//4548\nf 209//209 4659//4659 58//58\nf 245//245 106//106 4758//4758\nf 4379//4379 453//453 3726//3726\nf 176//176 4903//4903 4570//4570\nf 5055//5055 4686//4686 4713//4713\nf 4634//4634 4902//4902 318//318\nf 4238//4238 1735//1735 3196//3196\nf 37//37 4753//4753 107//107\nf 1587//1587 2340//2340 628//628\nf 642//642 491//491 3188//3188\nf 623//623 2033//2033 4239//4239\nf 4795//4795 281//281 4724//4724\nf 4835//4835 282//282 4741//4741\nf 3879//3879 2718//2718 4300//4300\nf 4358//4358 4385//4385 3172//3172\nf 197//197 4943//4943 3208//3208\nf 4610//4610 4644//4644 4441//4441\nf 202//202 4567//4567 4525//4525\nf 4639//4639 165//165 168//168\nf 708//708 445//445 4107//4107\nf 4534//4534 4460//4460 4429//4429\nf 4525//4525 4767//4767 3204//3204\nf 2407//2407 795//795 3943//3943\nf 4897//4897 4867//4867 4804//4804\nf 3932//3932 5198//5198 3858//3858\nf 4562//4562 46//46 49//49\nf 695//695 644//644 4094//4094\nf 4094//4094 4381//4381 695//695\nf 5085//5085 259//259 260//260\nf 5155//5155 4445//4445 3023//3023\nf 4444//4444 4464//4464 4507//4507\nf 4881//4881 166//166 4760//4760\nf 2370//2370 4377//4377 4333//4333\nf 289//289 399//399 4912//4912\nf 437//437 4684//4684 4886//4886\nf 437//437 51//51 311//311\nf 4363//4363 90//90 3080//3080\nf 348//348 4446//4446 4363//4363\nf 369//369 66//66 3984//3984\nf 4113//4113 4469//4469 2467//2467\nf 4518//4518 544//544 4340//4340\nf 359//359 4509//4509 4846//4846\nf 2339//2339 4544//4544 2969//2969\nf 3229//3229 4311//4311 5106//5106\nf 113//113 1969//1969 4287//4287\nf 636//636 5098//5098 4189//4189\nf 3936//3936 2303//2303 2057//2057\nf 189//189 4784//4784 284//284\nf 16//16 4724//4724 281//281\nf 4960//4960 4442//4442 4750//4750\nf 4589//4589 4795//4795 282//282\nf 3172//3172 1772//1772 2813//2813\nf 497//497 1772//1772 498//498\nf 3799//3799 477//477 421//421\nf 4597//4597 324//324 4537//4537\nf 1791//1791 4179//4179 577//577\nf 498//498 402//402 5006//5006\nf 444//444 2048//2048 4168//4168\nf 93//93 4919//4919 3069//3069\nf 3674//3674 2075//2075 572//572\nf 462//462 526//526 11//11\nf 4097//4097 5140//5140 4022//4022\nf 3821//3821 2002//2002 4826//4826\nf 5129//5129 1846//1846 1845//1845\nf 1897//1897 319//319 385//385\nf 460//460 2356//2356 4184//4184\nf 2008//2008 259//259 2040//2040\nf 695//695 565//565 511//511\nf 4489//4489 4183//4183 1583//1583\nf 564//564 2549//2549 4374//4374\nf 4420//4420 2034//2034 4291//4291\nf 496//496 287//287 576//576\nf 20//20 4970//4970 438//438\nf 2832//2832 490//490 4685//4685\nf 51//51 4881//4881 4546//4546\nf 3024//3024 3178//3178 2366//2366\nf 4021//4021 582//582 659//659\nf 587//587 4907//4907 4329//4329\nf 2327//2327 2326//2326 4892//4892\nf 4497//4497 4399//4399 2331//2331\nf 2313//2313 2199//2199 3968//3968\nf 2331//2331 3081//3081 4497//4497\nf 5041//5041 4082//4082 4520//4520\nf 4469//4469 4185//4185 3385//3385\nf 1198//1198 2339//2339 2969//2969\nf 4313//4313 5086//5086 3448//3448\nf 4196//4196 4729//4729 10//10\nf 3274//3274 2268//2268 2511//2511\nf 2058//2058 2513//2513 4052//4052\nf 2368//2368 4247//4247 4281//4281\nf 5124//5124 2015//2015 476//476\nf 4392//4392 3880//3880 301//301\nf 4750//4750 128//128 4806//4806\nf 4392//4392 3879//3879 4300//4300\nf 630//630 365//365 404//404\nf 635//635 4382//4382 4455//4455\nf 4317//4317 5214//5214 3978//3978\nf 1544//1544 5206//5206 5157//5157\nf 3172//3172 2813//2813 4358//4358\nf 2836//2836 4831//4831 4775//4775\nf 4200//4200 3965//3965 1479//1479\nf 4870//4870 4779//4779 4581//4581\nf 5089//5089 4352//4352 4335//4335\nf 2799//2799 4400//4400 5090//5090\nf 2356//2356 4349//4349 4346//4346\nf 4873//4873 4464//4464 4832//4832\nf 4384//4384 4451//4451 482//482\nf 4062//4062 4954//4954 603//603\nf 678//678 4225//4225 2030//2030\nf 352//352 4657//4657 4683//4683\nf 3724//3724 595//595 2466//2466\nf 4196//4196 728//728 2219//2219\nf 4011//4011 599//599 1357//1357\nf 4181//4181 495//495 4249//4249\nf 4371//4371 4398//4398 5124//5124\nf 4696//4696 4903//4903 176//176\nf 2052//2052 2346//2346 4250//4250\nf 4960//4960 4959//4959 4951//4951\nf 2443//2443 4461//4461 910//910\nf 5012//5012 674//674 2413//2413\nf 2413//2413 733//733 325//325\nf 4299//4299 4599//4599 4297//4297\nf 5214//5214 4171//4171 623//623\nf 524//524 4856//4856 4433//4433\nf 2059//2059 5128//5128 4068//4068\nf 2531//2531 584//584 2612//2612\nf 2612//2612 4443//4443 4354//4354\nf 2161//2161 4159//4159 513//513\nf 679//679 1516//1516 537//537\nf 3909//3909 5188//5188 2135//2135\nf 4207//4207 2281//2281 2250//2250\nf 647//647 646//646 4360//4360\nf 2295//2295 4223//4223 4266//4266\nf 659//659 778//778 4021//4021\nf 4384//4384 482//482 75//75\nf 951//951 4017//4017 2290//2290\nf 2227//2227 2290//2290 4520//4520\nf 4500//4500 4603//4603 4399//4399\nf 2466//2466 595//595 4950//4950\nf 113//113 4564//4564 321//321\nf 4011//4011 540//540 2058//2058\nf 4039//4039 4240//4240 4209//4209\nf 523//523 4040//4040 1791//1791\nf 4167//4167 5167//5167 1773//1773\nf 2413//2413 674//674 733//733\nf 4299//4299 3120//3120 4599//4599\nf 4206//4206 4264//4264 791//791\nf 4355//4355 2382//2382 1018//1018\nf 3422//3422 1147//1147 650//650\nf 4390//4390 1687//1687 2048//2048\nf 4388//4388 4515//4515 454//454\nf 4207//4207 591//591 3887//3887\nf 578//578 512//512 4381//4381\nf 4268//4268 752//752 547//547\nf 4360//4360 646//646 548//548\nf 2391//2391 299//299 5042//5042\nf 503//503 582//582 4160//4160\nf 556//556 2334//2334 812//812\nf 781//781 659//659 5192//5192\nf 533//533 2423//2423 569//569\nf 4336//4336 2378//2378 4082//4082\nf 2969//2969 4544//4544 5027//5027\nf 4220//4220 344//344 4876//4876\nf 2219//2219 4121//4121 4196//4196\nf 4121//4121 4331//4331 4196//4196\nf 742//742 2219//2219 728//728\nf 540//540 641//641 2513//2513\nf 1735//1735 459//459 531//531\nf 4115//4115 2105//2105 4176//4176\nf 4599//4599 366//366 2443//2443\nf 4317//4317 4411//4411 4187//4187\nf 626//626 1066//1066 2045//2045\nf 1129//1129 5206//5206 516//516\nf 4076//4076 4130//4130 2375//2375\nf 2382//2382 4245//4245 630//630\nf 5128//5128 494//494 1540//1540\nf 4383//4383 4584//4584 566//566\nf 4035//4035 2350//2350 572//572\nf 532//532 4061//4061 2230//2230\nf 2230//2230 2315//2315 4128//4128\nf 2231//2231 3883//3883 2361//2361\nf 4088//4088 162//162 4133//4133\nf 3887//3887 3804//3804 886//886\nf 2281//2281 2270//2270 2250//2250\nf 2696//2696 695//695 4381//4381\nf 2229//2229 550//550 2371//2371\nf 874//874 2359//2359 814//814\nf 4985//4985 582//582 552//552\nf 2373//2373 654//654 4230//4230\nf 848//848 5750//5750 6072//6072\nf 4909//4909 4148//4148 653//653\nf 653//653 555//555 678//678\nf 4518//4518 528//528 4548//4548\nf 528//528 504//504 4499//4499\nf 715//715 5095//5095 5199//5199\nf 616//616 1705//1705 300//300\nf 1765//1765 1945//1945 542//542\nf 5195//5195 5212//5212 2341//2341\nf 2179//2179 667//667 755//755\nf 617//617 2405//2405 4181//4181\nf 1357//1357 599//599 4447//4447\nf 4300//4300 477//477 3799//3799\nf 5128//5128 1067//1067 494//494\nf 681//681 4106//4106 4065//4065\nf 2182//2182 5197//5197 3907//3907\nf 4098//4098 2543//2543 2541//2541\nf 1540//1540 711//711 699//699\nf 2215//2215 5137//5137 1479//1479\nf 2215//2215 2214//2214 5137//5137\nf 3943//3943 5009//5009 2162//2162\nf 2055//2055 1869//1869 4065//4065\nf 2971//2971 618//618 2002//2002\nf 1407//1407 4327//4327 3952//3952\nf 578//578 4381//4381 4094//4094\nf 789//789 2204//2204 2441//2441\nf 13//13 4934//4934 2307//2307\nf 5181//5181 2171//2171 4118//4118\nf 2372//2372 2369//2369 2391//2391\nf 5164//5164 5201//5201 1000//1000\nf 4330//4330 2279//2279 4985//4985\nf 539//539 552//552 503//503\nf 685//685 4013//4013 2019//2019\nf 685//685 2019//2019 2373//2373\nf 832//832 5469//5469 5978//5978\nf 4651//4651 4185//4185 4548//4548\nf 793//793 2248//2248 3970//3970\nf 4100//4100 5202//5202 3869//3869\nf 755//755 2027//2027 2165//2165\nf 495//495 4240//4240 531//531\nf 1356//1356 506//506 1379//1379\nf 4059//4059 697//697 3828//3828\nf 4278//4278 4109//4109 4237//4237\nf 4187//4187 4300//4300 2718//2718\nf 4028//4028 6033//6033 826//826\nf 779//779 4382//4382 5100//5100\nf 4003//4003 2431//2431 892//892\nf 5149//5149 5218//5218 2241//2241\nf 2305//2305 263//263 4229//4229\nf 2215//2215 799//799 4141//4141\nf 3868//3868 5666//5666 3585//3585\nf 3858//3858 2135//2135 1348//1348\nf 4012//4012 4004//4004 4212//4212\nf 668//668 1607//1607 1987//1987\nf 683//683 2237//2237 5863//5863\nf 790//790 5274//5274 3900//3900\nf 3851//3851 6136//6136 790//790\nf 2204//2204 2371//2371 548//548\nf 13//13 62//62 4934//4934\nf 2497//2497 2206//2206 979//979\nf 874//874 3106//3106 673//673\nf 4047//4047 2213//2213 2254//2254\nf 3820//3820 1002//1002 898//898\nf 4148//4148 2031//2031 653//653\nf 893//893 4053//4053 2068//2068\nf 583//583 450//450 2831//2831\nf 4100//4100 5173//5173 5202//5202\nf 3929//3929 4083//4083 6116//6116\nf 5191//5191 2004//2004 663//663\nf 4258//4258 2368//2368 2105//2105\nf 1791//1791 2781//2781 523//523\nf 3912//3912 863//863 2271//2271\nf 2380//2380 4072//4072 816//816\nf 3729//3729 6036//6036 3808//3808\nf 3101//3101 4037//4037 815//815\nf 3789//3789 846//846 3702//3702\nf 5213//5213 731//731 3977//3977\nf 2282//2282 5846//5846 2103//2103\nf 2235//2235 3343//3343 3345//3345\nf 1479//1479 5137//5137 619//619\nf 2155//2155 979//979 2206//2206\nf 825//825 706//706 776//776\nf 13//13 979//979 2155//2155\nf 2210//2210 5101//5101 776//776\nf 2076//2076 2210//2210 3964//3964\nf 871//871 2255//2255 2101//2101\nf 877//877 587//587 4266//4266\nf 612//612 4108//4108 2261//2261\nf 3970//3970 4876//4876 3811//3811\nf 2224//2224 3920//3920 753//753\nf 3598//3598 5350//5350 3603//3603\nf 2344//2344 4144//4144 4054//4054\nf 5381//5381 6021//6021 5982//5982\nf 816//816 2291//2291 4046//4046\nf 3729//3729 2127//2127 3735//3735\nf 553//553 2854//2854 3744//3744\nf 846//846 5826//5826 3702//3702\nf 665//665 5213//5213 2246//2246\nf 3730//3730 3986//3986 3833//3833\nf 932//932 783//783 735//735\nf 5693//5693 3778//3778 906//906\nf 2253//2253 5311//5311 4155//4155\nf 4155//4155 3923//3923 5107//5107\nf 4946//4946 738//738 881//881\nf 2322//2322 5757//5757 4125//4125\nf 62//62 704//704 4276//4276\nf 3894//3894 2186//2186 4934//4934\nf 6069//6069 976//976 986//986\nf 898//898 1026//1026 4005//4005\nf 5101//5101 3996//3996 2184//2184\nf 957//957 956//956 4000//4000\nf 2311//2311 813//813 660//660\nf 810//810 5143//5143 2283//2283\nf 4083//4083 787//787 4016//4016\nf 882//882 3872//3872 2218//2218\nf 5217//5217 655//655 862//862\nf 2148//2148 5491//5491 3600//3600\nf 2174//2174 3940//3940 2164//2164\nf 5166//5166 6023//6023 899//899\nf 926//926 5182//5182 5766//5766\nf 6038//6038 5260//5260 852//852\nf 974//974 6024//6024 3857//3857\nf 3952//3952 2281//2281 2276//2276\nf 5274//5274 3740//3740 969//969\nf 988//988 3686//3686 1076//1076\nf 3745//3745 1008//1008 5781//5781\nf 2184//2184 2186//2186 5640//5640\nf 5914//5914 3990//3990 5803//5803\nf 981//981 5834//5834 759//759\nf 3802//3802 1046//1046 2172//2172\nf 5359//5359 5638//5638 5578//5578\nf 4054//4054 4144//4144 3871//3871\nf 900//900 2310//2310 4895//4895\nf 826//826 939//939 5756//5756\nf 5937//5937 1011//1011 5608//5608\nf 3993//3993 3390//3390 5279//5279\nf 3681//3681 3809//3809 3617//3617\nf 4767//4767 3069//3069 4919//4919\nf 899//899 4106//4106 2273//2273\nf 64//64 4826//4826 794//794\nf 3919//3919 973//973 1012//1012\nf 5394//5394 5458//5458 6059//6059\nf 937//937 4008//4008 5801//5801\nf 4957//4957 5196//5196 4948//4948\nf 3806//3806 5825//5825 1113//1113\nf 5101//5101 4251//4251 3996//3996\nf 945//945 5343//5343 4256//4256\nf 6056//6056 5800//5800 3424//3424\nf 3968//3968 2199//2199 1507//1507\nf 1003//1003 6134//6134 2181//2181\nf 3644//3644 1125//1125 2682//2682\nf 2252//2252 3692//3692 3416//3416\nf 5364//5364 3870//3870 929//929\nf 5032//5032 3647//3647 5993//5993\nf 2102//2102 2096//2096 1156//1156\nf 2096//2096 2102//2102 1155//1155\nf 3735//3735 5146//5146 2288//2288\nf 2577//2577 1029//1029 1680//1680\nf 3817//3817 1159//1159 1394//1394\nf 3848//3848 3681//3681 3617//3617\nf 3522//3522 3155//3155 3676//3676\nf 3466//3466 5719//5719 3919//3919\nf 3986//3986 3859//3859 3864//3864\nf 5898//5898 3860//3860 3928//3928\nf 3815//3815 5732//5732 3731//3731\nf 6139//6139 3793//3793 1047//1047\nf 2306//2306 5672//5672 5781//5781\nf 2222//2222 5453//5453 5820//5820\nf 1049//1049 993//993 3846//3846\nf 859//859 2213//2213 4047//4047\nf 5933//5933 5732//5732 5823//5823\nf 952//952 3882//3882 4255//4255\nf 3569//3569 3643//3643 1532//1532\nf 980//980 3945//3945 2136//2136\nf 957//957 792//792 2180//2180\nf 4015//4015 6116//6116 3829//3829\nf 3711//3711 5937//5937 3774//3774\nf 5937//5937 5266//5266 1011//1011\nf 3662//3662 5511//5511 3994//3994\nf 3732//3732 3786//3786 1673//1673\nf 5768//5768 1233//1233 3657//3657\nf 3837//3837 3682//3682 2137//2137\nf 822//822 2131//2131 4029//4029\nf 857//857 3856//3856 5539//5539\nf 997//997 989//989 5370//5370\nf 5650//5650 3999//3999 2086//2086\nf 740//740 2277//2277 856//856\nf 5034//5034 906//906 5270//5270\nf 3342//3342 3413//3413 1298//1298\nf 5821//5821 3928//3928 3860//3860\nf 3676//3676 989//989 997//997\nf 3951//3951 3898//3898 3166//3166\nf 3654//3654 3922//3922 6169//6169\nf 5628//5628 6010//6010 1637//1637\nf 6012//6012 3709//3709 3503//3503\nf 1106//1106 3795//3795 5913//5913\nf 2073//2073 3687//3687 1136//1136\nf 3620//3620 5615//5615 986//986\nf 955//955 5897//5897 3914//3914\nf 4006//4006 5480//5480 999//999\nf 5554//5554 2183//2183 660//660\nf 956//956 5468//5468 3680//3680\nf 2275//2275 3679//3679 3946//3946\nf 5683//5683 6137//6137 3421//3421\nf 5372//5372 3705//3705 5582//5582\nf 2264//2264 5455//5455 3751//3751\nf 6065//6065 3705//3705 5463//5463\nf 978//978 3718//3718 3607//3607\nf 759//759 2245//2245 907//907\nf 1075//1075 5535//5535 5390//5390\nf 868//868 5684//5684 4016//4016\nf 6009//6009 726//726 3672//3672\nf 1207//1207 5854//5854 1281//1281\nf 991//991 1062//1062 5779//5779\nf 3572//3572 6048//6048 3537//3537\nf 4046//4046 5146//5146 816//816\nf 3669//3669 5420//5420 5824//5824\nf 5279//5279 3921//3921 972//972\nf 1277//1277 5776//5776 6112//6112\nf 3657//3657 1233//1233 3533//3533\nf 991//991 5779//5779 5989//5989\nf 847//847 5810//5810 1096//1096\nf 6026//6026 729//729 3856//3856\nf 3860//3860 5682//5682 5393//5393\nf 3315//3315 5842//5842 3518//3518\nf 5643//5643 5489//5489 5224//5224\nf 5752//5752 5551//5551 3826//3826\nf 3621//3621 5929//5929 1102//1102\nf 5495//5495 6038//6038 991//991\nf 6010//6010 5628//5628 998//998\nf 3928//3928 5265//5265 6141//6141\nf 3568//3568 5413//5413 1095//1095\nf 3686//3686 1081//1081 3947//3947\nf 1136//1136 3687//3687 5933//5933\nf 3722//3722 5615//5615 5249//5249\nf 5984//5984 5428//5428 1049//1049\nf 5160//5160 5343//5343 2256//2256\nf 5673//5673 5322//5322 5943//5943\nf 1297//1297 1013//1013 5502//5502\nf 3605//3605 1022//1022 1122//1122\nf 1118//1118 3625//3625 3690//3690\nf 6060//6060 1025//1025 5379//5379\nf 5287//5287 5831//5831 1141//1141\nf 5287//5287 5462//5462 1154//1154\nf 3819//3819 5829//5829 3658//3658\nf 1054//1054 3561//3561 3389//3389\nf 5286//5286 3618//3618 5876//5876\nf 5896//5896 3672//3672 726//726\nf 6044//6044 5852//5852 3559//3559\nf 5490//5490 1096//1096 5569//5569\nf 914//914 1040//1040 6055//6055\nf 2288//2288 1040//1040 914//914\nf 1303//1303 1414//1414 5945//5945\nf 954//954 5662//5662 2137//2137\nf 964//964 6101//6101 5226//5226\nf 4989//4989 1006//1006 6101//6101\nf 6151//6151 5460//5460 1579//1579\nf 3490//3490 3263//3263 3492//3492\nf 4002//4002 5308//5308 1044//1044\nf 6000//6000 1097//1097 2078//2078\nf 6031//6031 2126//2126 5539//5539\nf 5643//5643 5345//5345 5442//5442\nf 2207//2207 6052//6052 3765//3765\nf 3806//3806 2146//2146 5825//5825\nf 5912//5912 1093//1093 3510//3510\nf 5806//5806 3947//3947 5825//5825\nf 3991//3991 959//959 994//994\nf 3687//3687 3651//3651 5894//5894\nf 3844//3844 5322//5322 5860//5860\nf 2080//2080 3637//3637 1297//1297\nf 949//949 999//999 5329//5329\nf 5803//5803 2100//2100 3725//3725\nf 5276//5276 1109//1109 3713//3713\nf 1744//1744 3776//3776 1019//1019\nf 5225//5225 1137//1137 3597//3597\nf 960//960 760//760 1063//1063\nf 5778//5778 5522//5522 4018//4018\nf 1071//1071 5993//5993 1511//1511\nf 6037//6037 3819//3819 2795//2795\nf 5264//5264 3831//3831 5478//5478\nf 3632//3632 5560//5560 3760//3760\nf 3362//3362 1236//1236 2129//2129\nf 3748//3748 3632//3632 5884//5884\nf 5407//5407 824//824 4201//4201\nf 5670//5670 1161//1161 6117//6117\nf 5278//5278 3525//3525 6107//6107\nf 3600//3600 5491//5491 3669//3669\nf 3789//3789 1394//1394 5254//5254\nf 5254//5254 1394//1394 1082//1082\nf 3729//3729 3735//3735 5608//5608\nf 5865//5865 1030//1030 6146//6146\nf 5770//5770 1201//1201 3447//3447\nf 3601//3601 3684//3684 5755//5755\nf 1238//1238 5229//5229 3332//3332\nf 3505//3505 3516//3516 1091//1091\nf 1397//1397 3767//3767 5731//5731\nf 3675//3675 3881//3881 5975//5975\nf 3509//3509 1223//1223 6006//6006\nf 6022//6022 6101//6101 5465//5465\nf 5786//5786 1020//1020 5408//5408\nf 5825//5825 2146//2146 5806//5806\nf 996//996 1074//1074 5434//5434\nf 1089//1089 3608//3608 5548//5548\nf 5590//5590 1170//1170 1095//1095\nf 3547//3547 5376//5376 3570//3570\nf 3881//3881 3675//3675 2131//2131\nf 5875//5875 6128//6128 3424//3424\nf 6128//6128 2265//2265 3688//3688\nf 3956//3956 2209//2209 5294//5294\nf 1118//1118 3690//3690 3910//3910\nf 2107//2107 2222//2222 3305//3305\nf 5929//5929 5786//5786 990//990\nf 960//960 1063//1063 5623//5623\nf 2851//2851 5599//5599 3287//3287\nf 5588//5588 6017//6017 3764//3764\nf 3787//3787 5333//5333 5032//5032\nf 1269//1269 3517//3517 3425//3425\nf 5876//5876 3618//3618 5887//5887\nf 5353//5353 5882//5882 3398//3398\nf 3540//3540 5882//5882 5980//5980\nf 1234//1234 1296//1296 5331//5331\nf 897//897 6164//6164 6036//6036\nf 3699//3699 3742//3742 5826//5826\nf 3496//3496 1083//1083 3179//3179\nf 5657//5657 3394//3394 2654//2654\nf 5363//5363 5602//5602 3638//3638\nf 5384//5384 3332//3332 5595//5595\nf 3581//3581 3655//3655 1171//1171\nf 5548//5548 5833//5833 1089//1089\nf 3767//3767 3629//3629 3546//3546\nf 2131//2131 822//822 3881//3881\nf 5996//5996 5295//5295 1572//1572\nf 5808//5808 3775//3775 1019//1019\nf 5383//5383 1397//1397 1744//1744\nf 1223//1223 2088//2088 1001//1001\nf 971//971 3806//3806 3365//3365\nf 3806//3806 5979//5979 3365//3365\nf 5545//5545 5275//5275 3492//3492\nf 2193//2193 3625//3625 1132//1132\nf 5906//5906 3368//3368 3439//3439\nf 1412//1412 5586//5586 6012//6012\nf 5808//5808 3776//3776 1579//1579\nf 3037//3037 3863//3863 5796//5796\nf 5741//5741 1004//1004 1362//1362\nf 6000//6000 6131//6131 1097//1097\nf 3177//3177 658//658 5033//5033\nf 5379//5379 2252//2252 6060//6060\nf 5932//5932 1586//1586 3710//3710\nf 3495//3495 5506//5506 3389//3389\nf 5562//5562 5955//5955 3619//3619\nf 5230//5230 1234//1234 5331//5331\nf 5459//5459 5466//5466 3743//3743\nf 3791//3791 5619//5619 2225//2225\nf 5275//5275 3609//3609 3490//3490\nf 927//927 3652//3652 3761//3761\nf 3547//3547 5880//5880 5376//5376\nf 5932//5932 5972//5972 1289//1289\nf 1149//1149 4018//4018 3942//3942\nf 3540//3540 3539//3539 1070//1070\nf 3656//3656 5366//5366 5965//5965\nf 3638//3638 3332//3332 5384//5384\nf 5285//5285 3692//3692 5706//5706\nf 6080//6080 3244//3244 3597//3597\nf 1072//1072 960//960 5623//5623\nf 3564//3564 1413//1413 3355//3355\nf 2247//2247 5887//5887 1103//1103\nf 5230//5230 3602//3602 1207//1207\nf 5612//5612 2286//2286 3627//3627\nf 5524//5524 6093//6093 3475//3475\nf 3538//3538 3438//3438 1050//1050\nf 5805//5805 3656//3656 5895//5895\nf 1203//1203 5240//5240 2134//2134\nf 5916//5916 1203//1203 4992//4992\nf 3524//3524 3588//3588 5774//5774\nf 5713//5713 1185//1185 5885//5885\nf 5797//5797 1320//1320 3612//3612\nf 3916//3916 5999//5999 5780//5780\nf 1511//1511 3529//3529 5223//5223\nf 6095//6095 5995//5995 1392//1392\nf 5667//5667 5500//5500 5317//5317\nf 5891//5891 1038//1038 3591//3591\nf 1021//1021 6113//6113 6017//6017\nf 1206//1206 5457//5457 6113//6113\nf 1178//1178 5970//5970 5928//5928\nf 1178//1178 5928//5928 5866//5866\nf 3545//3545 1128//1128 5344//5344\nf 3262//3262 1192//1192 1265//1265\nf 5883//5883 5985//5985 2280//2280\nf 3475//3475 5945//5945 1181//1181\nf 5907//5907 3689//3689 1256//1256\nf 5694//5694 5237//5237 1304//1304\nf 164//164 2499//2499 2721//2721\nf 6029//6029 3394//3394 5997//5997\nf 5363//5363 5780//5780 3562//3562\nf 5904//5904 1146//1146 3527//3527\nf 3426//3426 5621//5621 3308//3308\nf 5630//5630 3397//3397 3576//3576\nf 1391//1391 1309//1309 1086//1086\nf 3670//3670 1184//1184 3427//3427\nf 3389//3389 3558//3558 1169//1169\nf 3355//3355 6008//6008 3564//3564\nf 3618//3618 5286//5286 3769//3769\nf 5406//5406 769//769 3531//3531\nf 5858//5858 1178//1178 5866//5866\nf 2129//2129 1236//1236 1104//1104\nf 1235//1235 5724//5724 5942//5942\nf 6149//6149 5645//5645 5725//5725\nf 1399//1399 1340//1340 3538//3538\nf 5850//5850 3458//3458 6162//6162\nf 3458//3458 5883//5883 3465//3465\nf 1185//1185 3452//3452 5240//5240\nf 5526//5526 5375//5375 1166//1166\nf 5865//5865 1180//1180 5555//5555\nf 6029//6029 3544//3544 5328//5328\nf 5819//5819 5233//5233 3031//3031\nf 1391//1391 5410//5410 3165//3165\nf 1163//1163 3427//3427 1184//1184\nf 5735//5735 3670//3670 3576//3576\nf 3501//3501 1053//1053 3158//3158\nf 1148//1148 5500//5500 3488//3488\nf 5272//5272 3741//3741 769//769\nf 1192//1192 3336//3336 1322//1322\nf 1178//1178 3626//3626 1128//1128\nf 5830//5830 5950//5950 5246//5246\nf 1414//1414 1110//1110 1302//1302\nf 5985//5985 1050//1050 2280//2280\nf 5584//5584 3370//3370 1333//1333\nf 1805//1805 5774//5774 1123//1123\nf 6091//6091 6146//6146 1030//1030\nf 1591//1591 3083//3083 3049//3049\nf 3241//3241 5921//5921 1195//1195\nf 5513//5513 1747//1747 3586//3586\nf 1520//1520 5944//5944 2099//2099\nf 3200//3200 5485//5485 3447//3447\nf 1320//1320 1216//1216 3562//3562\nf 3187//3187 1177//1177 2809//2809\nf 3566//3566 5461//5461 2809//2809\nf 3199//3199 2108//2108 3282//3282\nf 5277//5277 5566//5566 1218//1218\nf 3306//3306 6046//6046 5525//5525\nf 3307//3307 1253//1253 1053//1053\nf 3171//3171 1475//1475 6145//6145\nf 5866//5866 5928//5928 3356//3356\nf 3627//3627 3626//3626 931//931\nf 1251//1251 5278//5278 3523//3523\nf 3504//3504 2157//2157 6117//6117\nf 5594//5594 3338//3338 1272//1272\nf 6125//6125 5561//5561 1284//1284\nf 5517//5517 1272//1272 5237//5237\nf 5654//5654 3109//3109 1258//1258\nf 3458//3458 3465//3465 6162//6162\nf 3317//3317 2079//2079 5864//5864\nf 5795//5795 3035//3035 2639//2639\nf 1166//1166 5375//5375 2632//2632\nf 1127//1127 1403//1403 1458//1458\nf 3346//3346 3270//3270 1482//1482\nf 3192//3192 5543//5543 1477//1477\nf 3118//3118 5812//5812 5289//5289\nf 1342//1342 6138//6138 1798//1798\nf 2044//2044 1310//1310 5770//5770\nf 5422//5422 5923//5923 5681//5681\nf 3483//3483 1257//1257 5992//5992\nf 5992//5992 6001//6001 3239//3239\nf 5461//5461 3566//3566 1402//1402\nf 5277//5277 3420//3420 5566//5566\nf 3206//3206 1309//1309 5959//5959\nf 1276//1276 1210//1210 3397//3397\nf 3281//3281 6124//6124 2093//2093\nf 6046//6046 3376//3376 5338//5338\nf 1392//1392 5667//5667 6095//6095\nf 3358//3358 5858//5858 5866//5866\nf 5632//5632 3358//3358 5866//5866\nf 5454//5454 5947//5947 3502//3502\nf 3160//3160 3543//3543 3578//3578\nf 5439//5439 5885//5885 3473//3473\nf 5925//5925 5567//5567 5352//5352\nf 5853//5853 5935//5935 5587//5587\nf 6043//6043 1331//1331 5637//5637\nf 3417//3417 3319//3319 5870//5870\nf 3278//3278 1259//1259 3502//3502\nf 3436//3436 5740//5740 5555//5555\nf 5744//5744 5730//5730 5252//5252\nf 6074//6074 5252//5252 3410//3410\nf 1477//1477 5861//5861 3275//3275\nf 6045//6045 3428//3428 1286//1286\nf 1437//1437 5659//5659 3325//3325\nf 1395//1395 2176//2176 1342//1342\nf 3237//3237 3110//3110 3302//3302\nf 2755//2755 2756//2756 2099//2099\nf 3083//3083 2811//2811 3243//3243\nf 2920//2920 5251//5251 1257//1257\nf 5699//5699 3226//3226 3065//3065\nf 6166//6166 5486//5486 6094//6094\nf 5987//5987 5686//5686 5571//5571\nf 5587//5587 1505//1505 2811//2811\nf 3290//3290 5664//5664 3410//3410\nf 5404//5404 3311//3311 3310//3310\nf 3410//3410 5664//5664 1375//1375\nf 1651//1651 1482//1482 3270//3270\nf 2953//2953 5532//5532 1582//1582\nf 3406//3406 5704//5704 5538//5538\nf 5676//5676 5437//5437 5759//5759\nf 3586//3586 1245//1245 5513//5513\nf 1172//1172 3189//3189 5352//5352\nf 1747//1747 5485//5485 5313//5313\nf 6063//6063 1424//1424 3073//3073\nf 5256//5256 3167//3167 2074//2074\nf 3232//3232 2099//2099 5283//5283\nf 3242//3242 3307//3307 3361//3361\nf 5973//5973 1345//1345 3359//3359\nf 1254//1254 1428//1428 5481//5481\nf 5610//5610 2132//2132 1265//1265\nf 6166//6166 3043//3043 6068//6068\nf 3338//3338 1340//1340 5425//5425\nf 1643//1643 5371//5371 2167//2167\nf 5885//5885 5916//5916 3473//3473\nf 1370//1370 5973//5973 1509//1509\nf 5853//5853 2955//2955 1317//1317\nf 3311//3311 5281//5281 5864//5864\nf 1375//1375 3335//3335 3410//3410\nf 5532//5532 3406//3406 5538//5538\nf 1380//1380 5665//5665 1520//1520\nf 1168//1168 5436//5436 3045//3045\nf 5421//5421 6129//6129 3218//3218\nf 1424//1424 6063//6063 5313//5313\nf 5485//5485 5671//5671 1424//1424\nf 1271//1271 3318//3318 3154//3154\nf 3095//3095 5992//5992 5024//5024\nf 1308//1308 6153//6153 5794//5794\nf 3149//3149 5514//5514 1288//1288\nf 6090//6090 5652//5652 1584//1584\nf 1570//1570 3361//3361 5530//5530\nf 3216//3216 5120//5120 5723//5723\nf 3467//3467 6166//6166 6068//6068\nf 5822//5822 6105//6105 1648//1648\nf 1718//1718 1562//1562 3163//3163\nf 5864//5864 2955//2955 3317//3317\nf 1259//1259 3348//3348 1452//1452\nf 5362//5362 5957//5957 5708//5708\nf 5552//5552 3268//3268 3272//3272\nf 2149//2149 1484//1484 1373//1373\nf 3182//3182 5498//5498 1547//1547\nf 2149//2149 1373//1373 1482//1482\nf 5751//5751 1374//1374 3309//3309\nf 1483//1483 2236//2236 6020//6020\nf 3318//3318 2838//2838 3154//3154\nf 5990//5990 1449//1449 3284//3284\nf 5717//5717 5290//5290 1541//1541\nf 1694//1694 3260//3260 3124//3124\nf 1500//1500 3284//3284 1449//1449\nf 5284//5284 1151//1151 5959//5959\nf 5352//5352 5567//5567 3250//3250\nf 1367//1367 1211//1211 1584//1584\nf 6078//6078 3191//3191 1481//1481\nf 5773//5773 5561//5561 6125//6125\nf 3191//3191 6078//6078 3279//3279\nf 1467//1467 5701//5701 3007//3007\nf 5526//5526 5538//5538 5704//5704\nf 5953//5953 5591//5591 5377//5377\nf 3329//3329 5596//5596 1273//1273\nf 1619//1619 3067//3067 3115//3115\nf 3002//3002 3020//3020 1449//1449\nf 5451//5451 5729//5729 5312//5312\nf 5247//5247 1434//1434 3395//3395\nf 5257//5257 5998//5998 5247//5247\nf 6050//6050 5493//5493 6132//6132\nf 5653//5653 1212//1212 6045//6045\nf 5917//5917 5424//5424 5382//5382\nf 1439//1439 1533//1533 3098//3098\nf 1485//1485 5998//5998 5581//5581\nf 5890//5890 2839//2839 2827//2827\nf 5476//5476 5401//5401 3215//3215\nf 1736//1736 3011//3011 2728//2728\nf 3318//3318 3382//3382 3293//3293\nf 3006//3006 3094//3094 1613//1613\nf 5962//5962 6058//6058 3000//3000\nf 3270//3270 3346//3346 3414//3414\nf 1431//1431 5242//5242 2868//2868\nf 3164//3164 3029//3029 6030//6030\nf 6084//6084 3164//3164 6030//6030\nf 1535//1535 1736//1736 1693//1693\nf 1606//1606 2785//2785 1599//1599\nf 3147//3147 2982//2982 3084//3084\nf 5387//5387 5258//5258 5775//5775\nf 6058//6058 6144//6144 3157//3157\nf 1696//1696 1461//1461 6127//6127\nf 3103//3103 2785//2785 5888//5888\nf 1535//1535 1693//1693 1769//1769\nf 3079//3079 5746//5746 1599//1599\nf 5948//5948 3076//3076 1810//1810\nf 2906//2906 2995//2995 5862//5862\nf 3020//3020 5256//5256 1449//1449\n# 12340 faces, 0 coords texture\n\n# End of File\n"
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0.680013\nvn 0.414594 -0.559343 0.717765\nvn 0.250160 0.249763 0.935423\nvn 0.217322 -0.538713 0.813959\nvn 0.202887 -0.618030 0.759514\nvn 0.214148 -0.558184 0.801569\nvn 0.000000 0.249916 0.968261\nvn 0.000000 -0.538102 0.842860\nvn 0.000000 -0.617206 0.786767\nvn 0.000000 -0.557421 0.830195\nvn -0.250160 0.249763 0.935423\nvn -0.217322 -0.538713 0.813959\nvn -0.202887 -0.618030 0.759514\nvn -0.214148 -0.558184 0.801569\nvn -0.484359 0.249825 0.838404\nvn -0.420881 -0.539720 0.729026\nvn -0.392712 -0.619098 0.680013\nvn -0.414594 -0.559343 0.717765\nvn -0.684652 0.249886 0.684652\nvn -0.595050 -0.540147 0.595050\nvn -0.555040 -0.619526 0.555040\nvn -0.585894 -0.559862 0.585894\nvn -0.838404 0.249825 0.484359\nvn -0.729026 -0.539720 0.420881\nvn -0.680013 -0.619098 0.392712\nvn -0.717765 -0.559343 0.414594\nvn -0.935423 0.249763 0.250160\nvn -0.813959 -0.538713 0.217322\nvn -0.759484 -0.618030 0.202887\nvn -0.801569 -0.558184 0.214148\nvn -0.968261 0.249916 0.000000\nvn -0.842860 -0.538102 0.000000\nvn -0.786767 -0.617206 0.000000\nvn -0.830195 -0.557421 0.000000\nvn -0.935423 0.249763 -0.250160\nvn -0.813959 -0.538713 -0.217322\nvn -0.759484 -0.618030 -0.202887\nvn -0.801569 -0.558184 -0.214148\nvn -0.838404 0.249825 -0.484359\nvn -0.729026 -0.539720 -0.420881\nvn -0.680013 -0.619098 -0.392712\nvn -0.717765 -0.559343 -0.414594\nvn -0.684652 0.249886 -0.684652\nvn -0.595050 -0.540147 -0.595050\nvn -0.555040 -0.619526 -0.555040\nvn -0.585864 -0.559862 -0.585894\nvn -0.484359 0.249825 -0.838404\nvn -0.420881 -0.539720 -0.729026\nvn -0.392712 -0.619098 -0.680013\nvn -0.414594 -0.559343 -0.717765\nvn -0.250160 0.249763 -0.935423\nvn -0.217322 -0.538713 -0.813959\nvn -0.202887 -0.618030 -0.759484\nvn -0.214148 -0.558214 -0.801569\nvn 0.000000 0.249916 -0.968261\nvn 0.000000 -0.538102 -0.842860\nvn 0.000000 -0.617206 -0.786767\nvn 0.000000 -0.557421 -0.830195\nvn 0.250160 0.249763 -0.935423\nvn 0.217322 -0.538713 -0.813959\nvn 0.202887 -0.618030 -0.759484\nvn 0.214148 -0.558214 -0.801569\nvn 0.484359 0.249825 -0.838404\nvn 0.420881 -0.539720 -0.729026\nvn 0.392712 -0.619098 -0.680013\nvn 0.414594 -0.559343 -0.717765\nvn 0.684652 0.249886 -0.684652\nvn 0.595050 -0.540147 -0.595050\nvn 0.555040 -0.619526 -0.555040\nvn 0.585864 -0.559862 -0.585894\nvn 0.838404 0.249825 -0.484359\nvn 0.729026 -0.539720 -0.420881\nvn 0.680013 -0.619098 -0.392712\nvn 0.717765 -0.559343 -0.414594\nvn 0.935423 0.249763 -0.250160\nvn 0.813959 -0.538713 -0.217322\nvn 0.759484 -0.618030 -0.202887\nvn 0.801569 -0.558184 -0.214148\nf 1//1 2//2 3//3\nf 3//3 2//2 4//4\nf 4//4 2//2 5//5\nf 5//5 2//2 6//6\nf 6//6 2//2 7//7\nf 7//7 2//2 8//8\nf 8//8 2//2 9//9\nf 9//9 2//2 10//10\nf 10//10 2//2 11//11\nf 11//11 2//2 12//12\nf 12//12 2//2 13//13\nf 13//13 2//2 14//14\nf 14//14 2//2 15//15\nf 15//15 2//2 16//16\nf 16//16 2//2 17//17\nf 17//17 2//2 18//18\nf 18//18 2//2 19//19\nf 19//19 2//2 20//20\nf 20//20 2//2 21//21\nf 21//21 2//2 22//22\nf 22//22 2//2 23//23\nf 23//23 2//2 24//24\nf 24//24 2//2 25//25\nf 2//2 1//1 25//25\nf 26//26 27//27 28//28\nf 28//28 29//29 26//26\nf 29//29 28//28 30//30\nf 31//31 30//30 28//28\nf 30//30 31//31 32//32\nf 33//33 32//32 31//31\nf 34//34 35//35 33//33\nf 32//32 33//33 35//35\nf 36//36 37//37 34//34\nf 35//35 34//34 37//37\nf 38//38 39//39 36//36\nf 37//37 36//36 39//39\nf 27//27 40//40 41//41\nf 41//41 28//28 27//27\nf 28//28 41//41 31//31\nf 42//42 31//31 41//41\nf 31//31 42//42 33//33\nf 43//43 33//33 42//42\nf 44//44 34//34 43//43\nf 33//33 43//43 34//34\nf 45//45 36//36 44//44\nf 34//34 44//44 36//36\nf 46//46 38//38 45//45\nf 36//36 45//45 38//38\nf 40//40 47//47 48//48\nf 48//48 41//41 40//40\nf 41//41 48//48 42//42\nf 49//49 42//42 48//48\nf 42//42 49//49 43//43\nf 50//50 43//43 49//49\nf 51//51 44//44 50//50\nf 43//43 50//50 44//44\nf 52//52 45//45 51//51\nf 44//44 51//51 45//45\nf 53//53 46//46 52//52\nf 45//45 52//52 46//46\nf 47//47 54//54 48//48\nf 55//55 48//48 54//54\nf 48//48 55//55 49//49\nf 56//56 49//49 55//55\nf 49//49 56//56 57//57\nf 57//57 50//50 49//49\nf 58//58 51//51 50//50\nf 50//50 57//57 58//58\nf 59//59 52//52 51//51\nf 51//51 58//58 59//59\nf 60//60 53//53 52//52\nf 52//52 59//59 60//60\nf 54//54 61//61 55//55\nf 62//62 55//55 61//61\nf 55//55 62//62 63//63\nf 63//63 56//56 55//55\nf 56//56 63//63 64//64\nf 64//64 57//57 56//56\nf 65//65 58//58 57//57\nf 57//57 64//64 65//65\nf 66//66 59//59 58//58\nf 58//58 65//65 66//66\nf 67//67 60//60 59//59\nf 59//59 66//66 67//67\nf 61//61 68//68 62//62\nf 69//69 62//62 68//68\nf 62//62 69//69 70//70\nf 70//70 63//63 62//62\nf 63//63 70//70 71//71\nf 71//71 64//64 63//63\nf 72//72 65//65 64//64\nf 64//64 71//71 72//72\nf 73//73 66//66 65//65\nf 65//65 72//72 73//73\nf 74//74 67//67 66//66\nf 66//66 73//73 74//74\nf 68//68 75//75 76//76\nf 76//76 69//69 68//68\nf 69//69 76//76 70//70\nf 77//77 70//70 76//76\nf 70//70 77//77 71//71\nf 78//78 71//71 77//77\nf 79//79 72//72 78//78\nf 71//71 78//78 72//72\nf 80//80 73//73 79//79\nf 72//72 79//79 73//73\nf 81//81 74//74 80//80\nf 73//73 80//80 74//74\nf 75//75 82//82 83//83\nf 83//83 76//76 75//75\nf 76//76 83//83 77//77\nf 84//84 77//77 83//83\nf 77//77 84//84 78//78\nf 85//85 78//78 84//84\nf 86//86 79//79 85//85\nf 78//78 85//85 79//79\nf 87//87 80//80 86//86\nf 79//79 86//86 80//80\nf 88//88 81//81 87//87\nf 80//80 87//87 81//81\nf 82//82 89//89 90//90\nf 90//90 83//83 82//82\nf 83//83 90//90 91//91\nf 91//91 84//84 83//83\nf 84//84 91//91 85//85\nf 92//92 85//85 91//91\nf 93//93 86//86 92//92\nf 85//85 92//92 86//86\nf 94//94 87//87 93//93\nf 86//86 93//93 87//87\nf 95//95 88//88 94//94\nf 87//87 94//94 88//88\nf 89//89 96//96 90//90\nf 97//97 90//90 96//96\nf 90//90 97//97 98//98\nf 98//98 91//91 90//90\nf 91//91 98//98 99//99\nf 99//99 92//92 91//91\nf 100//100 93//93 92//92\nf 92//92 99//99 100//100\nf 101//101 94//94 93//93\nf 93//93 100//100 101//101\nf 102//102 95//95 94//94\nf 94//94 101//101 102//102\nf 96//96 103//103 97//97\nf 104//104 97//97 103//103\nf 97//97 104//104 105//105\nf 105//105 98//98 97//97\nf 98//98 105//105 106//106\nf 106//106 99//99 98//98\nf 107//107 100//100 99//99\nf 99//99 106//106 107//107\nf 108//108 101//101 100//100\nf 100//100 107//107 108//108\nf 109//109 102//102 101//101\nf 101//101 108//108 109//109\nf 103//103 110//110 104//104\nf 111//111 104//104 110//110\nf 104//104 111//111 112//112\nf 112//112 105//105 104//104\nf 105//105 112//112 113//113\nf 113//113 106//106 105//105\nf 114//114 107//107 106//106\nf 106//106 113//113 114//114\nf 115//115 108//108 107//107\nf 107//107 114//114 115//115\nf 116//116 109//109 108//108\nf 108//108 115//115 116//116\nf 110//110 117//117 118//118\nf 118//118 111//111 110//110\nf 111//111 118//118 119//119\nf 119//119 112//112 111//111\nf 112//112 119//119 113//113\nf 120//120 113//113 119//119\nf 121//121 114//114 120//120\nf 113//113 120//120 114//114\nf 122//122 115//115 121//121\nf 114//114 121//121 115//115\nf 123//123 116//116 122//122\nf 115//115 122//122 116//116\nf 117//117 124//124 125//125\nf 125//125 118//118 117//117\nf 118//118 125//125 119//119\nf 126//126 119//119 125//125\nf 119//119 126//126 120//120\nf 127//127 120//120 126//126\nf 128//128 121//121 127//127\nf 120//120 127//127 121//121\nf 129//129 122//122 128//128\nf 121//121 128//128 122//122\nf 130//130 123//123 129//129\nf 122//122 129//129 123//123\nf 124//124 131//131 132//132\nf 132//132 125//125 124//124\nf 125//125 132//132 133//133\nf 133//133 126//126 125//125\nf 126//126 133//133 127//127\nf 134//134 127//127 133//133\nf 135//135 128//128 134//134\nf 127//127 134//134 128//128\nf 136//136 129//129 135//135\nf 128//128 135//135 129//129\nf 137//137 130//130 136//136\nf 129//129 136//136 130//130\nf 131//131 138//138 132//132\nf 139//139 132//132 138//138\nf 132//132 139//139 140//140\nf 140//140 133//133 132//132\nf 133//133 140//140 141//141\nf 141//141 134//134 133//133\nf 142//142 135//135 134//134\nf 134//134 141//141 142//142\nf 143//143 136//136 135//135\nf 135//135 142//142 143//143\nf 144//144 137//137 136//136\nf 136//136 143//143 144//144\nf 138//138 145//145 139//139\nf 146//146 139//139 145//145\nf 139//139 146//146 147//147\nf 147//147 140//140 139//139\nf 140//140 147//147 148//148\nf 148//148 141//141 140//140\nf 149//149 142//142 141//141\nf 141//141 148//148 149//149\nf 150//150 143//143 142//142\nf 142//142 149//149 150//150\nf 151//151 144//144 143//143\nf 143//143 150//150 151//151\nf 145//145 152//152 146//146\nf 153//153 146//146 152//152\nf 146//146 153//153 154//154\nf 154//154 147//147 146//146\nf 147//147 154//154 155//155\nf 155//155 148//148 147//147\nf 156//156 149//149 148//148\nf 148//148 155//155 156//156\nf 157//157 150//150 149//149\nf 149//149 156//156 157//157\nf 158//158 151//151 150//150\nf 150//150 157//157 158//158\nf 152//152 159//159 160//160\nf 160//160 153//153 152//152\nf 153//153 160//160 154//154\nf 161//161 154//154 160//160\nf 154//154 161//161 155//155\nf 162//162 155//155 161//161\nf 163//163 156//156 162//162\nf 155//155 162//162 156//156\nf 164//164 157//157 163//163\nf 156//156 163//163 157//157\nf 165//165 158//158 164//164\nf 157//157 164//164 158//158\nf 159//159 166//166 167//167\nf 167//167 160//160 159//159\nf 160//160 167//167 161//161\nf 168//168 161//161 167//167\nf 161//161 168//168 162//162\nf 169//169 162//162 168//168\nf 170//170 163//163 169//169\nf 162//162 169//169 163//163\nf 171//171 164//164 170//170\nf 163//163 170//170 164//164\nf 172//172 165//165 171//171\nf 164//164 171//171 165//165\nf 166//166 173//173 174//174\nf 174//174 167//167 166//166\nf 167//167 174//174 168//168\nf 175//175 168//168 174//174\nf 168//168 175//175 169//169\nf 176//176 169//169 175//175\nf 177//177 170//170 176//176\nf 169//169 176//176 170//170\nf 178//178 171//171 177//177\nf 170//170 177//177 171//171\nf 179//179 172//172 178//178\nf 171//171 178//178 172//172\nf 173//173 180//180 174//174\nf 181//181 174//174 180//180\nf 174//174 181//181 175//175\nf 182//182 175//175 181//181\nf 175//175 182//182 183//183\nf 183//183 176//176 175//175\nf 184//184 177//177 176//176\nf 176//176 183//183 184//184\nf 185//185 178//178 177//177\nf 177//177 184//184 185//185\nf 186//186 179//179 178//178\nf 178//178 185//185 186//186\nf 180//180 187//187 181//181\nf 188//188 181//181 187//187\nf 181//181 188//188 189//189\nf 189//189 182//182 181//181\nf 182//182 189//189 190//190\nf 190//190 183//183 182//182\nf 191//191 184//184 183//183\nf 183//183 190//190 191//191\nf 192//192 185//185 184//184\nf 184//184 191//191 192//192\nf 193//193 186//186 185//185\nf 185//185 192//192 193//193\nf 187//187 26//26 188//188\nf 29//29 188//188 26//26\nf 188//188 29//29 189//189\nf 30//30 189//189 29//29\nf 189//189 30//30 32//32\nf 32//32 190//190 189//189\nf 35//35 191//191 190//190\nf 190//190 32//32 35//35\nf 37//37 192//192 191//191\nf 191//191 35//35 37//37\nf 39//39 193//193 192//192\nf 192//192 37//37 39//39\nf 194//194 195//195 38//38\nf 39//39 38//38 195//195\nf 196//196 197//197 194//194\nf 195//195 194//194 197//197\nf 198//198 199//199 196//196\nf 197//197 196//196 199//199\nf 200//200 201//201 198//198\nf 199//199 198//198 201//201\nf 202//202 203//203 200//200\nf 201//201 200//200 203//203\nf 204//204 205//205 202//202\nf 203//203 202//202 205//205\nf 206//206 194//194 46//46\nf 38//38 46//46 194//194\nf 207//207 196//196 206//206\nf 194//194 206//206 196//196\nf 208//208 198//198 207//207\nf 196//196 207//207 198//198\nf 209//209 200//200 208//208\nf 198//198 208//208 200//200\nf 210//210 202//202 209//209\nf 200//200 209//209 202//202\nf 211//211 204//204 210//210\nf 202//202 210//210 204//204\nf 212//212 206//206 53//53\nf 46//46 53//53 206//206\nf 213//213 207//207 212//212\nf 206//206 212//212 207//207\nf 214//214 208//208 213//213\nf 207//207 213//213 208//208\nf 215//215 209//209 214//214\nf 208//208 214//214 209//209\nf 216//216 210//210 215//215\nf 209//209 215//215 210//210\nf 217//217 211//211 216//216\nf 210//210 216//216 211//211\nf 218//218 212//212 53//53\nf 53//53 60//60 218//218\nf 219//219 213//213 212//212\nf 212//212 218//218 219//219\nf 220//220 214//214 213//213\nf 213//213 219//219 220//220\nf 221//221 215//215 214//214\nf 214//214 220//220 221//221\nf 222//222 216//216 215//215\nf 215//215 221//221 222//222\nf 223//223 217//217 216//216\nf 216//216 222//222 223//223\nf 224//224 218//218 60//60\nf 60//60 67//67 224//224\nf 225//225 219//219 218//218\nf 218//218 224//224 225//225\nf 226//226 220//220 219//219\nf 219//219 225//225 226//226\nf 227//227 221//221 220//220\nf 220//220 226//226 227//227\nf 228//228 222//222 221//221\nf 221//221 227//227 228//228\nf 229//229 223//223 222//222\nf 222//222 228//228 229//229\nf 230//230 224//224 67//67\nf 67//67 74//74 230//230\nf 231//231 225//225 224//224\nf 224//224 230//230 231//231\nf 232//232 226//226 225//225\nf 225//225 231//231 232//232\nf 233//233 227//227 226//226\nf 226//226 232//232 233//233\nf 234//234 228//228 227//227\nf 227//227 233//233 234//234\nf 235//235 229//229 228//228\nf 228//228 234//234 235//235\nf 236//236 230//230 81//81\nf 74//74 81//81 230//230\nf 237//237 231//231 236//236\nf 230//230 236//236 231//231\nf 238//238 232//232 237//237\nf 231//231 237//237 232//232\nf 239//239 233//233 238//238\nf 232//232 238//238 233//233\nf 240//240 234//234 239//239\nf 233//233 239//239 234//234\nf 241//241 235//235 240//240\nf 234//234 240//240 235//235\nf 242//242 236//236 88//88\nf 81//81 88//88 236//236\nf 243//243 237//237 242//242\nf 236//236 242//242 237//237\nf 244//244 238//238 243//243\nf 237//237 243//243 238//238\nf 245//245 239//239 244//244\nf 238//238 244//244 239//239\nf 246//246 240//240 245//245\nf 239//239 245//245 240//240\nf 247//247 241//241 246//246\nf 240//240 246//246 241//241\nf 248//248 242//242 95//95\nf 88//88 95//95 242//242\nf 249//249 243//243 248//248\nf 242//242 248//248 243//243\nf 250//250 244//244 249//249\nf 243//243 249//249 244//244\nf 251//251 245//245 250//250\nf 244//244 250//250 245//245\nf 252//252 246//246 251//251\nf 245//245 251//251 246//246\nf 253//253 247//247 252//252\nf 246//246 252//252 247//247\nf 254//254 248//248 95//95\nf 95//95 102//102 254//254\nf 255//255 249//249 248//248\nf 248//248 254//254 255//255\nf 256//256 250//250 249//249\nf 249//249 255//255 256//256\nf 257//257 251//251 250//250\nf 250//250 256//256 257//257\nf 258//258 252//252 251//251\nf 251//251 257//257 258//258\nf 259//259 253//253 252//252\nf 252//252 258//258 259//259\nf 260//260 254//254 102//102\nf 102//102 109//109 260//260\nf 261//261 255//255 254//254\nf 254//254 260//260 261//261\nf 262//262 256//256 255//255\nf 255//255 261//261 262//262\nf 263//263 257//257 256//256\nf 256//256 262//262 263//263\nf 264//264 258//258 257//257\nf 257//257 263//263 264//264\nf 265//265 259//259 258//258\nf 258//258 264//264 265//265\nf 266//266 260//260 109//109\nf 109//109 116//116 266//266\nf 267//267 261//261 260//260\nf 260//260 266//266 267//267\nf 268//268 262//262 261//261\nf 261//261 267//267 268//268\nf 269//269 263//263 262//262\nf 262//262 268//268 269//269\nf 270//270 264//264 263//263\nf 263//263 269//269 270//270\nf 271//271 265//265 264//264\nf 264//264 270//270 271//271\nf 272//272 266//266 123//123\nf 116//116 123//123 266//266\nf 273//273 267//267 272//272\nf 266//266 272//272 267//267\nf 274//274 268//268 273//273\nf 267//267 273//273 268//268\nf 275//275 269//269 274//274\nf 268//268 274//274 269//269\nf 276//276 270//270 275//275\nf 269//269 275//275 270//270\nf 277//277 271//271 276//276\nf 270//270 276//276 271//271\nf 278//278 272//272 130//130\nf 123//123 130//130 272//272\nf 279//279 273//273 278//278\nf 272//272 278//278 273//273\nf 280//280 274//274 279//279\nf 273//273 279//279 274//274\nf 281//281 275//275 280//280\nf 274//274 280//280 275//275\nf 282//282 276//276 281//281\nf 275//275 281//281 276//276\nf 283//283 277//277 282//282\nf 276//276 282//282 277//277\nf 284//284 278//278 137//137\nf 130//130 137//137 278//278\nf 285//285 279//279 284//284\nf 278//278 284//284 279//279\nf 286//286 280//280 285//285\nf 279//279 285//285 280//280\nf 287//287 281//281 286//286\nf 280//280 286//286 281//281\nf 288//288 282//282 287//287\nf 281//281 287//287 282//282\nf 289//289 283//283 288//288\nf 282//282 288//288 283//283\nf 290//290 284//284 137//137\nf 137//137 144//144 290//290\nf 291//291 285//285 284//284\nf 284//284 290//290 291//291\nf 292//292 286//286 285//285\nf 285//285 291//291 292//292\nf 293//293 287//287 286//286\nf 286//286 292//292 293//293\nf 294//294 288//288 287//287\nf 287//287 293//293 294//294\nf 295//295 289//289 288//288\nf 288//288 294//294 295//295\nf 296//296 290//290 144//144\nf 144//144 151//151 296//296\nf 297//297 291//291 290//290\nf 290//290 296//296 297//297\nf 298//298 292//292 291//291\nf 291//291 297//297 298//298\nf 299//299 293//293 292//292\nf 292//292 298//298 299//299\nf 300//300 294//294 293//293\nf 293//293 299//299 300//300\nf 301//301 295//295 294//294\nf 294//294 300//300 301//301\nf 302//302 296//296 151//151\nf 151//151 158//158 302//302\nf 303//303 297//297 296//296\nf 296//296 302//302 303//303\nf 304//304 298//298 297//297\nf 297//297 303//303 304//304\nf 305//305 299//299 298//298\nf 298//298 304//304 305//305\nf 306//306 300//300 299//299\nf 299//299 305//305 306//306\nf 307//307 301//301 300//300\nf 300//300 306//306 307//307\nf 308//308 302//302 165//165\nf 158//158 165//165 302//302\nf 309//309 303//303 308//308\nf 302//302 308//308 303//303\nf 310//310 304//304 309//309\nf 303//303 309//309 304//304\nf 311//311 305//305 310//310\nf 304//304 310//310 305//305\nf 312//312 306//306 311//311\nf 305//305 311//311 306//306\nf 313//313 307//307 312//312\nf 306//306 312//312 307//307\nf 314//314 308//308 172//172\nf 165//165 172//172 308//308\nf 315//315 309//309 314//314\nf 308//308 314//314 309//309\nf 316//316 310//310 315//315\nf 309//309 315//315 310//310\nf 317//317 311//311 316//316\nf 310//310 316//316 311//311\nf 318//318 312//312 317//317\nf 311//311 317//317 312//312\nf 319//319 313//313 318//318\nf 312//312 318//318 313//313\nf 320//320 314//314 179//179\nf 172//172 179//179 314//314\nf 321//321 315//315 320//320\nf 314//314 320//320 315//315\nf 322//322 316//316 321//321\nf 315//315 321//321 316//316\nf 323//323 317//317 322//322\nf 316//316 322//322 317//317\nf 324//324 318//318 323//323\nf 317//317 323//323 318//318\nf 325//325 319//319 324//324\nf 318//318 324//324 319//319\nf 326//326 320//320 179//179\nf 179//179 186//186 326//326\nf 327//327 321//321 320//320\nf 320//320 326//326 327//327\nf 328//328 322//322 321//321\nf 321//321 327//327 328//328\nf 329//329 323//323 322//322\nf 322//322 328//328 329//329\nf 330//330 324//324 323//323\nf 323//323 329//329 330//330\nf 331//331 325//325 324//324\nf 324//324 330//330 331//331\nf 332//332 326//326 186//186\nf 186//186 193//193 332//332\nf 333//333 327//327 326//326\nf 326//326 332//332 333//333\nf 334//334 328//328 327//327\nf 327//327 333//333 334//334\nf 335//335 329//329 328//328\nf 328//328 334//334 335//335\nf 336//336 330//330 329//329\nf 329//329 335//335 336//336\nf 337//337 331//331 330//330\nf 330//330 336//336 337//337\nf 195//195 332//332 193//193\nf 193//193 39//39 195//195\nf 197//197 333//333 332//332\nf 332//332 195//195 197//197\nf 199//199 334//334 333//333\nf 333//333 197//197 199//199\nf 201//201 335//335 334//334\nf 334//334 199//199 201//201\nf 203//203 336//336 335//335\nf 335//335 201//201 203//203\nf 205//205 337//337 336//336\nf 336//336 203//203 205//205\nf 338//338 339//339 205//205\nf 205//205 204//204 338//338\nf 340//340 341//341 339//339\nf 339//339 338//338 340//340\nf 342//342 343//343 341//341\nf 341//341 340//340 342//342\nf 344//344 345//345 343//343\nf 343//343 342//342 344//344\nf 346//346 347//347 345//345\nf 345//345 344//344 346//346\nf 348//348 349//349 347//347\nf 347//347 346//346 348//348\nf 350//350 338//338 204//204\nf 204//204 211//211 350//350\nf 351//351 340//340 338//338\nf 338//338 350//350 351//351\nf 352//352 342//342 340//340\nf 340//340 351//351 352//352\nf 353//353 344//344 342//342\nf 342//342 352//352 353//353\nf 354//354 346//346 344//344\nf 344//344 353//353 354//354\nf 355//355 348//348 346//346\nf 346//346 354//354 355//355\nf 356//356 350//350 211//211\nf 211//211 217//217 356//356\nf 357//357 351//351 350//350\nf 350//350 356//356 357//357\nf 358//358 352//352 351//351\nf 351//351 357//357 358//358\nf 359//359 353//353 352//352\nf 352//352 358//358 359//359\nf 360//360 354//354 353//353\nf 353//353 359//359 360//360\nf 361//361 355//355 354//354\nf 354//354 360//360 361//361\nf 362//362 356//356 223//223\nf 217//217 223//223 356//356\nf 363//363 357//357 362//362\nf 356//356 362//362 357//357\nf 364//364 358//358 363//363\nf 357//357 363//363 358//358\nf 365//365 359//359 364//364\nf 358//358 364//364 359//359\nf 366//366 360//360 365//365\nf 359//359 365//365 360//360\nf 367//367 361//361 366//366\nf 360//360 366//366 361//361\nf 368//368 362//362 229//229\nf 223//223 229//229 362//362\nf 369//369 363//363 368//368\nf 362//362 368//368 363//363\nf 370//370 364//364 369//369\nf 363//363 369//369 364//364\nf 371//371 365//365 370//370\nf 364//364 370//370 365//365\nf 372//372 366//366 371//371\nf 365//365 371//371 366//366\nf 373//373 367//367 372//372\nf 366//366 372//372 367//367\nf 374//374 368//368 235//235\nf 229//229 235//235 368//368\nf 375//375 369//369 374//374\nf 368//368 374//374 369//369\nf 376//376 370//370 375//375\nf 369//369 375//375 370//370\nf 377//377 371//371 376//376\nf 370//370 376//376 371//371\nf 378//378 372//372 377//377\nf 371//371 377//377 372//372\nf 379//379 373//373 378//378\nf 372//372 378//378 373//373\nf 380//380 374//374 235//235\nf 235//235 241//241 380//380\nf 381//381 375//375 374//374\nf 374//374 380//380 381//381\nf 382//382 376//376 375//375\nf 375//375 381//381 382//382\nf 383//383 377//377 376//376\nf 376//376 382//382 383//383\nf 384//384 378//378 377//377\nf 377//377 383//383 384//384\nf 385//385 379//379 378//378\nf 378//378 384//384 385//385\nf 386//386 380//380 241//241\nf 241//241 247//247 386//386\nf 387//387 381//381 380//380\nf 380//380 386//386 387//387\nf 388//388 382//382 381//381\nf 381//381 387//387 388//388\nf 389//389 383//383 382//382\nf 382//382 388//388 389//389\nf 390//390 384//384 383//383\nf 383//383 389//389 390//390\nf 391//391 385//385 384//384\nf 384//384 390//390 391//391\nf 392//392 386//386 247//247\nf 247//247 253//253 392//392\nf 393//393 387//387 386//386\nf 386//386 392//392 393//393\nf 394//394 388//388 387//387\nf 387//387 393//393 394//394\nf 395//395 389//389 388//388\nf 388//388 394//394 395//395\nf 396//396 390//390 389//389\nf 389//389 395//395 396//396\nf 397//397 391//391 390//390\nf 390//390 396//396 397//397\nf 398//398 392//392 259//259\nf 253//253 259//259 392//392\nf 399//399 393//393 398//398\nf 392//392 398//398 393//393\nf 400//400 394//394 399//399\nf 393//393 399//399 394//394\nf 401//401 395//395 400//400\nf 394//394 400//400 395//395\nf 402//402 396//396 401//401\nf 395//395 401//401 396//396\nf 403//403 397//397 402//402\nf 396//396 402//402 397//397\nf 404//404 398//398 265//265\nf 259//259 265//265 398//398\nf 405//405 399//399 404//404\nf 398//398 404//404 399//399\nf 406//406 400//400 405//405\nf 399//399 405//405 400//400\nf 407//407 401//401 406//406\nf 400//400 406//406 401//401\nf 408//408 402//402 407//407\nf 401//401 407//407 402//402\nf 409//409 403//403 408//408\nf 402//402 408//408 403//403\nf 410//410 404//404 271//271\nf 265//265 271//271 404//404\nf 411//411 405//405 410//410\nf 404//404 410//410 405//405\nf 412//412 406//406 411//411\nf 405//405 411//411 406//406\nf 413//413 407//407 412//412\nf 406//406 412//412 407//407\nf 414//414 408//408 413//413\nf 407//407 413//413 408//408\nf 415//415 409//409 414//414\nf 408//408 414//414 409//409\nf 416//416 410//410 271//271\nf 271//271 277//277 416//416\nf 417//417 411//411 410//410\nf 410//410 416//416 417//417\nf 418//418 412//412 411//411\nf 411//411 417//417 418//418\nf 419//419 413//413 412//412\nf 412//412 418//418 419//419\nf 420//420 414//414 413//413\nf 413//413 419//419 420//420\nf 421//421 415//415 414//414\nf 414//414 420//420 421//421\nf 422//422 416//416 277//277\nf 277//277 283//283 422//422\nf 423//423 417//417 416//416\nf 416//416 422//422 423//423\nf 424//424 418//418 417//417\nf 417//417 423//423 424//424\nf 425//425 419//419 418//418\nf 418//418 424//424 425//425\nf 426//426 420//420 419//419\nf 419//419 425//425 426//426\nf 427//427 421//421 420//420\nf 420//420 426//426 427//427\nf 428//428 422//422 283//283\nf 283//283 289//289 428//428\nf 429//429 423//423 422//422\nf 422//422 428//428 429//429\nf 430//430 424//424 423//423\nf 423//423 429//429 430//430\nf 431//431 425//425 424//424\nf 424//424 430//430 431//431\nf 432//432 426//426 425//425\nf 425//425 431//431 432//432\nf 433//433 427//427 426//426\nf 426//426 432//432 433//433\nf 434//434 428//428 295//295\nf 289//289 295//295 428//428\nf 435//435 429//429 434//434\nf 428//428 434//434 429//429\nf 436//436 430//430 435//435\nf 429//429 435//435 430//430\nf 437//437 431//431 436//436\nf 430//430 436//436 431//431\nf 438//438 432//432 437//437\nf 431//431 437//437 432//432\nf 439//439 433//433 438//438\nf 432//432 438//438 433//433\nf 440//440 434//434 301//301\nf 295//295 301//301 434//434\nf 441//441 435//435 440//440\nf 434//434 440//440 435//435\nf 442//442 436//436 441//441\nf 435//435 441//441 436//436\nf 443//443 437//437 442//442\nf 436//436 442//442 437//437\nf 444//444 438//438 443//443\nf 437//437 443//443 438//438\nf 445//445 439//439 444//444\nf 438//438 444//444 439//439\nf 446//446 440//440 307//307\nf 301//301 307//307 440//440\nf 447//447 441//441 446//446\nf 440//440 446//446 441//441\nf 448//448 442//442 447//447\nf 441//441 447//447 442//442\nf 449//449 443//443 448//448\nf 442//442 448//448 443//443\nf 450//450 444//444 449//449\nf 443//443 449//449 444//444\nf 451//451 445//445 450//450\nf 444//444 450//450 445//445\nf 452//452 446//446 307//307\nf 307//307 313//313 452//452\nf 453//453 447//447 446//446\nf 446//446 452//452 453//453\nf 454//454 448//448 447//447\nf 447//447 453//453 454//454\nf 455//455 449//449 448//448\nf 448//448 454//454 455//455\nf 456//456 450//450 449//449\nf 449//449 455//455 456//456\nf 457//457 451//451 450//450\nf 450//450 456//456 457//457\nf 458//458 452//452 313//313\nf 313//313 319//319 458//458\nf 459//459 453//453 452//452\nf 452//452 458//458 459//459\nf 460//460 454//454 453//453\nf 453//453 459//459 460//460\nf 461//461 455//455 454//454\nf 454//454 460//460 461//461\nf 462//462 456//456 455//455\nf 455//455 461//461 462//462\nf 463//463 457//457 456//456\nf 456//456 462//462 463//463\nf 464//464 458//458 319//319\nf 319//319 325//325 464//464\nf 465//465 459//459 458//458\nf 458//458 464//464 465//465\nf 466//466 460//460 459//459\nf 459//459 465//465 466//466\nf 467//467 461//461 460//460\nf 460//460 466//466 467//467\nf 468//468 462//462 461//461\nf 461//461 467//467 468//468\nf 469//469 463//463 462//462\nf 462//462 468//468 469//469\nf 470//470 464//464 331//331\nf 325//325 331//331 464//464\nf 471//471 465//465 470//470\nf 464//464 470//470 465//465\nf 472//472 466//466 471//471\nf 465//465 471//471 466//466\nf 473//473 467//467 472//472\nf 466//466 472//472 467//467\nf 474//474 468//468 473//473\nf 467//467 473//473 468//468\nf 475//475 469//469 474//474\nf 468//468 474//474 469//469\nf 476//476 470//470 337//337\nf 331//331 337//337 470//470\nf 477//477 471//471 476//476\nf 470//470 476//476 471//471\nf 478//478 472//472 477//477\nf 471//471 477//477 472//472\nf 479//479 473//473 478//478\nf 472//472 478//478 473//473\nf 480//480 474//474 479//479\nf 473//473 479//479 474//474\nf 481//481 475//475 480//480\nf 474//474 480//480 475//475\nf 339//339 476//476 205//205\nf 337//337 205//205 476//476\nf 341//341 477//477 339//339\nf 476//476 339//339 477//477\nf 343//343 478//478 341//341\nf 477//477 341//341 478//478\nf 345//345 479//479 343//343\nf 478//478 343//343 479//479\nf 347//347 480//480 345//345\nf 479//479 345//345 480//480\nf 349//349 481//481 347//347\nf 480//480 347//347 481//481\nf 1//1 3//3 482//482\nf 483//483 482//482 3//3\nf 482//482 483//483 484//484\nf 485//485 484//484 483//483\nf 484//484 485//485 486//486\nf 487//487 486//486 485//485\nf 486//486 487//487 488//488\nf 489//489 488//488 487//487\nf 488//488 489//489 349//349\nf 481//481 349//349 489//489\nf 3//3 4//4 483//483\nf 490//490 483//483 4//4\nf 483//483 490//490 485//485\nf 491//491 485//485 490//490\nf 485//485 491//491 487//487\nf 492//492 487//487 491//491\nf 487//487 492//492 489//489\nf 493//493 489//489 492//492\nf 489//489 493//493 481//481\nf 475//475 481//481 493//493\nf 4//4 5//5 490//490\nf 494//494 490//490 5//5\nf 490//490 494//494 491//491\nf 495//495 491//491 494//494\nf 491//491 495//495 492//492\nf 496//496 492//492 495//495\nf 492//492 496//496 493//493\nf 497//497 493//493 496//496\nf 493//493 497//497 475//475\nf 469//469 475//475 497//497\nf 5//5 6//6 498//498\nf 498//498 494//494 5//5\nf 494//494 498//498 499//499\nf 499//499 495//495 494//494\nf 495//495 499//499 500//500\nf 500//500 496//496 495//495\nf 496//496 500//500 501//501\nf 501//501 497//497 496//496\nf 497//497 501//501 463//463\nf 463//463 469//469 497//497\nf 6//6 7//7 502//502\nf 502//502 498//498 6//6\nf 498//498 502//502 503//503\nf 503//503 499//499 498//498\nf 499//499 503//503 504//504\nf 504//504 500//500 499//499\nf 500//500 504//504 505//505\nf 505//505 501//501 500//500\nf 501//501 505//505 457//457\nf 457//457 463//463 501//501\nf 7//7 8//8 506//506\nf 506//506 502//502 7//7\nf 502//502 506//506 507//507\nf 507//507 503//503 502//502\nf 503//503 507//507 508//508\nf 508//508 504//504 503//503\nf 504//504 508//508 509//509\nf 509//509 505//505 504//504\nf 505//505 509//509 451//451\nf 451//451 457//457 505//505\nf 8//8 9//9 506//506\nf 510//510 506//506 9//9\nf 506//506 510//510 507//507\nf 511//511 507//507 510//510\nf 507//507 511//511 508//508\nf 512//512 508//508 511//511\nf 508//508 512//512 509//509\nf 513//513 509//509 512//512\nf 509//509 513//513 451//451\nf 445//445 451//451 513//513\nf 9//9 10//10 510//510\nf 514//514 510//510 10//10\nf 510//510 514//514 511//511\nf 515//515 511//511 514//514\nf 511//511 515//515 512//512\nf 516//516 512//512 515//515\nf 512//512 516//516 513//513\nf 517//517 513//513 516//516\nf 513//513 517//517 445//445\nf 439//439 445//445 517//517\nf 10//10 11//11 514//514\nf 518//518 514//514 11//11\nf 514//514 518//518 515//515\nf 519//519 515//515 518//518\nf 515//515 519//519 516//516\nf 520//520 516//516 519//519\nf 516//516 520//520 517//517\nf 521//521 517//517 520//520\nf 517//517 521//521 439//439\nf 433//433 439//439 521//521\nf 11//11 12//12 522//522\nf 522//522 518//518 11//11\nf 518//518 522//522 523//523\nf 523//523 519//519 518//518\nf 519//519 523//523 524//524\nf 524//524 520//520 519//519\nf 520//520 524//524 525//525\nf 525//525 521//521 520//520\nf 521//521 525//525 427//427\nf 427//427 433//433 521//521\nf 12//12 13//13 526//526\nf 526//526 522//522 12//12\nf 522//522 526//526 527//527\nf 527//527 523//523 522//522\nf 523//523 527//527 528//528\nf 528//528 524//524 523//523\nf 524//524 528//528 529//529\nf 529//529 525//525 524//524\nf 525//525 529//529 421//421\nf 421//421 427//427 525//525\nf 13//13 14//14 530//530\nf 530//530 526//526 13//13\nf 526//526 530//530 531//531\nf 531//531 527//527 526//526\nf 527//527 531//531 532//532\nf 532//532 528//528 527//527\nf 528//528 532//532 533//533\nf 533//533 529//529 528//528\nf 529//529 533//533 415//415\nf 415//415 421//421 529//529\nf 14//14 15//15 530//530\nf 534//534 530//530 15//15\nf 530//530 534//534 531//531\nf 535//535 531//531 534//534\nf 531//531 535//535 532//532\nf 536//536 532//532 535//535\nf 532//532 536//536 533//533\nf 537//537 533//533 536//536\nf 533//533 537//537 415//415\nf 409//409 415//415 537//537\nf 15//15 16//16 534//534\nf 538//538 534//534 16//16\nf 534//534 538//538 535//535\nf 539//539 535//535 538//538\nf 535//535 539//539 536//536\nf 540//540 536//536 539//539\nf 536//536 540//540 537//537\nf 541//541 537//537 540//540\nf 537//537 541//541 409//409\nf 403//403 409//409 541//541\nf 16//16 17//17 538//538\nf 542//542 538//538 17//17\nf 538//538 542//542 539//539\nf 543//543 539//539 542//542\nf 539//539 543//543 540//540\nf 544//544 540//540 543//543\nf 540//540 544//544 541//541\nf 545//545 541//541 544//544\nf 541//541 545//545 403//403\nf 397//397 403//403 545//545\nf 17//17 18//18 546//546\nf 546//546 542//542 17//17\nf 542//542 546//546 547//547\nf 547//547 543//543 542//542\nf 543//543 547//547 548//548\nf 548//548 544//544 543//543\nf 544//544 548//548 549//549\nf 549//549 545//545 544//544\nf 545//545 549//549 391//391\nf 391//391 397//397 545//545\nf 18//18 19//19 550//550\nf 550//550 546//546 18//18\nf 546//546 550//550 551//551\nf 551//551 547//547 546//546\nf 547//547 551//551 552//552\nf 552//552 548//548 547//547\nf 548//548 552//552 553//553\nf 553//553 549//549 548//548\nf 549//549 553//553 385//385\nf 385//385 391//391 549//549\nf 19//19 20//20 554//554\nf 554//554 550//550 19//19\nf 550//550 554//554 555//555\nf 555//555 551//551 550//550\nf 551//551 555//555 556//556\nf 556//556 552//552 551//551\nf 552//552 556//556 557//557\nf 557//557 553//553 552//552\nf 553//553 557//557 379//379\nf 379//379 385//385 553//553\nf 20//20 21//21 554//554\nf 558//558 554//554 21//21\nf 554//554 558//558 555//555\nf 559//559 555//555 558//558\nf 555//555 559//559 556//556\nf 560//560 556//556 559//559\nf 556//556 560//560 557//557\nf 561//561 557//557 560//560\nf 557//557 561//561 379//379\nf 373//373 379//379 561//561\nf 21//21 22//22 558//558\nf 562//562 558//558 22//22\nf 558//558 562//562 559//559\nf 563//563 559//559 562//562\nf 559//559 563//563 560//560\nf 564//564 560//560 563//563\nf 560//560 564//564 561//561\nf 565//565 561//561 564//564\nf 561//561 565//565 373//373\nf 367//367 373//373 565//565\nf 22//22 23//23 562//562\nf 566//566 562//562 23//23\nf 562//562 566//566 563//563\nf 567//567 563//563 566//566\nf 563//563 567//567 564//564\nf 568//568 564//564 567//567\nf 564//564 568//568 565//565\nf 569//569 565//565 568//568\nf 565//565 569//569 367//367\nf 361//361 367//367 569//569\nf 23//23 24//24 570//570\nf 570//570 566//566 23//23\nf 566//566 570//570 571//571\nf 571//571 567//567 566//566\nf 567//567 571//571 572//572\nf 572//572 568//568 567//567\nf 568//568 572//572 573//573\nf 573//573 569//569 568//568\nf 569//569 573//573 355//355\nf 355//355 361//361 569//569\nf 24//24 25//25 574//574\nf 574//574 570//570 24//24\nf 570//570 574//574 575//575\nf 575//575 571//571 570//570\nf 571//571 575//575 576//576\nf 576//576 572//572 571//571\nf 572//572 576//576 577//577\nf 577//577 573//573 572//572\nf 573//573 577//577 348//348\nf 348//348 355//355 573//573\nf 25//25 1//1 482//482\nf 482//482 574//574 25//25\nf 574//574 482//482 484//484\nf 484//484 575//575 574//574\nf 575//575 484//484 486//486\nf 486//486 576//576 575//575\nf 576//576 486//486 488//488\nf 488//488 577//577 576//576\nf 577//577 488//488 349//349\nf 349//349 348//348 577//577\nf 578//578 579//579 580//580\nf 581//581 580//580 579//579\nf 582//582 578//578 583//583\nf 580//580 583//583 578//578\nf 584//584 582//582 585//585\nf 583//583 585//585 582//582\nf 586//586 584//584 585//585\nf 585//585 587//587 586//586\nf 588//588 586//586 587//587\nf 587//587 589//589 588//588\nf 590//590 588//588 589//589\nf 589//589 591//591 590//590\nf 592//592 590//590 593//593\nf 591//591 593//593 590//590\nf 594//594 592//592 595//595\nf 593//593 595//595 592//592\nf 596//596 594//594 597//597\nf 595//595 597//597 594//594\nf 598//598 596//596 597//597\nf 597//597 599//599 598//598\nf 600//600 598//598 599//599\nf 599//599 601//601 600//600\nf 602//602 600//600 601//601\nf 601//601 603//603 602//602\nf 604//604 602//602 605//605\nf 603//603 605//605 602//602\nf 606//606 604//604 607//607\nf 605//605 607//607 604//604\nf 608//608 606//606 609//609\nf 607//607 609//609 606//606\nf 610//610 608//608 609//609\nf 609//609 611//611 610//610\nf 612//612 610//610 611//611\nf 611//611 613//613 612//612\nf 614//614 612//612 613//613\nf 613//613 615//615 614//614\nf 616//616 614//614 617//617\nf 615//615 617//617 614//614\nf 618//618 616//616 619//619\nf 617//617 619//619 616//616\nf 620//620 618//618 621//621\nf 619//619 621//621 618//618\nf 622//622 620//620 621//621\nf 621//621 623//623 622//622\nf 624//624 622//622 623//623\nf 623//623 625//625 624//624\nf 579//579 624//624 625//625\nf 625//625 581//581 579//579\nf 626//626 627//627 578//578\nf 579//579 578//578 627//627\nf 628//628 629//629 626//626\nf 627//627 626//626 629//629\nf 630//630 631//631 628//628\nf 629//629 628//628 631//631\nf 632//632 633//633 630//630\nf 631//631 630//630 633//633\nf 634//634 635//635 632//632\nf 633//633 632//632 635//635\nf 636//636 637//637 634//634\nf 635//635 634//634 637//637\nf 638//638 626//626 582//582\nf 578//578 582//582 626//626\nf 639//639 628//628 638//638\nf 626//626 638//638 628//628\nf 640//640 630//630 639//639\nf 628//628 639//639 630//630\nf 641//641 632//632 640//640\nf 630//630 640//640 632//632\nf 642//642 634//634 641//641\nf 632//632 641//641 634//634\nf 643//643 636//636 642//642\nf 634//634 642//642 636//636\nf 644//644 638//638 584//584\nf 582//582 584//584 638//638\nf 645//645 639//639 644//644\nf 638//638 644//644 639//639\nf 646//646 640//640 645//645\nf 639//639 645//645 640//640\nf 647//647 641//641 646//646\nf 640//640 646//646 641//641\nf 648//648 642//642 647//647\nf 641//641 647//647 642//642\nf 649//649 643//643 648//648\nf 642//642 648//648 643//643\nf 650//650 644//644 584//584\nf 584//584 586//586 650//650\nf 651//651 645//645 644//644\nf 644//644 650//650 651//651\nf 652//652 646//646 645//645\nf 645//645 651//651 652//652\nf 653//653 647//647 646//646\nf 646//646 652//652 653//653\nf 654//654 648//648 647//647\nf 647//647 653//653 654//654\nf 655//655 649//649 648//648\nf 648//648 654//654 655//655\nf 656//656 650//650 586//586\nf 586//586 588//588 656//656\nf 657//657 651//651 650//650\nf 650//650 656//656 657//657\nf 658//658 652//652 651//651\nf 651//651 657//657 658//658\nf 659//659 653//653 652//652\nf 652//652 658//658 659//659\nf 660//660 654//654 653//653\nf 653//653 659//659 660//660\nf 661//661 655//655 654//654\nf 654//654 660//660 661//661\nf 662//662 656//656 588//588\nf 588//588 590//590 662//662\nf 663//663 657//657 656//656\nf 656//656 662//662 663//663\nf 664//664 658//658 657//657\nf 657//657 663//663 664//664\nf 665//665 659//659 658//658\nf 658//658 664//664 665//665\nf 666//666 660//660 659//659\nf 659//659 665//665 666//666\nf 667//667 661//661 660//660\nf 660//660 666//666 667//667\nf 668//668 662//662 592//592\nf 590//590 592//592 662//662\nf 669//669 663//663 668//668\nf 662//662 668//668 663//663\nf 670//670 664//664 669//669\nf 663//663 669//669 664//664\nf 671//671 665//665 670//670\nf 664//664 670//670 665//665\nf 672//672 666//666 671//671\nf 665//665 671//671 666//666\nf 673//673 667//667 672//672\nf 666//666 672//672 667//667\nf 674//674 668//668 594//594\nf 592//592 594//594 668//668\nf 675//675 669//669 674//674\nf 668//668 674//674 669//669\nf 676//676 670//670 675//675\nf 669//669 675//675 670//670\nf 677//677 671//671 676//676\nf 670//670 676//676 671//671\nf 678//678 672//672 677//677\nf 671//671 677//677 672//672\nf 679//679 673//673 678//678\nf 672//672 678//678 673//673\nf 680//680 674//674 596//596\nf 594//594 596//596 674//674\nf 681//681 675//675 680//680\nf 674//674 680//680 675//675\nf 682//682 676//676 681//681\nf 675//675 681//681 676//676\nf 683//683 677//677 682//682\nf 676//676 682//682 677//677\nf 684//684 678//678 683//683\nf 677//677 683//683 678//678\nf 685//685 679//679 684//684\nf 678//678 684//684 679//679\nf 686//686 680//680 596//596\nf 596//596 598//598 686//686\nf 687//687 681//681 680//680\nf 680//680 686//686 687//687\nf 688//688 682//682 681//681\nf 681//681 687//687 688//688\nf 689//689 683//683 682//682\nf 682//682 688//688 689//689\nf 690//690 684//684 683//683\nf 683//683 689//689 690//690\nf 691//691 685//685 684//684\nf 684//684 690//690 691//691\nf 692//692 686//686 598//598\nf 598//598 600//600 692//692\nf 693//693 687//687 686//686\nf 686//686 692//692 693//693\nf 694//694 688//688 687//687\nf 687//687 693//693 694//694\nf 695//695 689//689 688//688\nf 688//688 694//694 695//695\nf 696//696 690//690 689//689\nf 689//689 695//695 696//696\nf 697//697 691//691 690//690\nf 690//690 696//696 697//697\nf 698//698 692//692 600//600\nf 600//600 602//602 698//698\nf 699//699 693//693 692//692\nf 692//692 698//698 699//699\nf 700//700 694//694 693//693\nf 693//693 699//699 700//700\nf 701//701 695//695 694//694\nf 694//694 700//700 701//701\nf 702//702 696//696 695//695\nf 695//695 701//701 702//702\nf 703//703 697//697 696//696\nf 696//696 702//702 703//703\nf 704//704 698//698 604//604\nf 602//602 604//604 698//698\nf 705//705 699//699 704//704\nf 698//698 704//704 699//699\nf 706//706 700//700 705//705\nf 699//699 705//705 700//700\nf 707//707 701//701 706//706\nf 700//700 706//706 701//701\nf 708//708 702//702 707//707\nf 701//701 707//707 702//702\nf 709//709 703//703 708//708\nf 702//702 708//708 703//703\nf 710//710 704//704 606//606\nf 604//604 606//606 704//704\nf 711//711 705//705 710//710\nf 704//704 710//710 705//705\nf 712//712 706//706 711//711\nf 705//705 711//711 706//706\nf 713//713 707//707 712//712\nf 706//706 712//712 707//707\nf 714//714 708//708 713//713\nf 707//707 713//713 708//708\nf 715//715 709//709 714//714\nf 708//708 714//714 709//709\nf 716//716 710//710 608//608\nf 606//606 608//608 710//710\nf 717//717 711//711 716//716\nf 710//710 716//716 711//711\nf 718//718 712//712 717//717\nf 711//711 717//717 712//712\nf 719//719 713//713 718//718\nf 712//712 718//718 713//713\nf 720//720 714//714 719//719\nf 713//713 719//719 714//714\nf 721//721 715//715 720//720\nf 714//714 720//720 715//715\nf 722//722 716//716 608//608\nf 608//608 610//610 722//722\nf 723//723 717//717 716//716\nf 716//716 722//722 723//723\nf 724//724 718//718 717//717\nf 717//717 723//723 724//724\nf 725//725 719//719 718//718\nf 718//718 724//724 725//725\nf 726//726 720//720 719//719\nf 719//719 725//725 726//726\nf 727//727 721//721 720//720\nf 720//720 726//726 727//727\nf 728//728 722//722 610//610\nf 610//610 612//612 728//728\nf 729//729 723//723 722//722\nf 722//722 728//728 729//729\nf 730//730 724//724 723//723\nf 723//723 729//729 730//730\nf 731//731 725//725 724//724\nf 724//724 730//730 731//731\nf 732//732 726//726 725//725\nf 725//725 731//731 732//732\nf 733//733 727//727 726//726\nf 726//726 732//732 733//733\nf 734//734 728//728 612//612\nf 612//612 614//614 734//734\nf 735//735 729//729 728//728\nf 728//728 734//734 735//735\nf 736//736 730//730 729//729\nf 729//729 735//735 736//736\nf 737//737 731//731 730//730\nf 730//730 736//736 737//737\nf 738//738 732//732 731//731\nf 731//731 737//737 738//738\nf 739//739 733//733 732//732\nf 732//732 738//738 739//739\nf 740//740 734//734 616//616\nf 614//614 616//616 734//734\nf 741//741 735//735 740//740\nf 734//734 740//740 735//735\nf 742//742 736//736 741//741\nf 735//735 741//741 736//736\nf 743//743 737//737 742//742\nf 736//736 742//742 737//737\nf 744//744 738//738 743//743\nf 737//737 743//743 738//738\nf 745//745 739//739 744//744\nf 738//738 744//744 739//739\nf 746//746 740//740 618//618\nf 616//616 618//618 740//740\nf 747//747 741//741 746//746\nf 740//740 746//746 741//741\nf 748//748 742//742 747//747\nf 741//741 747//747 742//742\nf 749//749 743//743 748//748\nf 742//742 748//748 743//743\nf 750//750 744//744 749//749\nf 743//743 749//749 744//744\nf 751//751 745//745 750//750\nf 744//744 750//750 745//745\nf 752//752 746//746 620//620\nf 618//618 620//620 746//746\nf 753//753 747//747 752//752\nf 746//746 752//752 747//747\nf 754//754 748//748 753//753\nf 747//747 753//753 748//748\nf 755//755 749//749 754//754\nf 748//748 754//754 749//749\nf 756//756 750//750 755//755\nf 749//749 755//755 750//750\nf 757//757 751//751 756//756\nf 750//750 756//756 751//751\nf 758//758 752//752 620//620\nf 620//620 622//622 758//758\nf 759//759 753//753 752//752\nf 752//752 758//758 759//759\nf 760//760 754//754 753//753\nf 753//753 759//759 760//760\nf 761//761 755//755 754//754\nf 754//754 760//760 761//761\nf 762//762 756//756 755//755\nf 755//755 761//761 762//762\nf 763//763 757//757 756//756\nf 756//756 762//762 763//763\nf 764//764 758//758 622//622\nf 622//622 624//624 764//764\nf 765//765 759//759 758//758\nf 758//758 764//764 765//765\nf 766//766 760//760 759//759\nf 759//759 765//765 766//766\nf 767//767 761//761 760//760\nf 760//760 766//766 767//767\nf 768//768 762//762 761//761\nf 761//761 767//767 768//768\nf 769//769 763//763 762//762\nf 762//762 768//768 769//769\nf 627//627 764//764 624//624\nf 624//624 579//579 627//627\nf 629//629 765//765 764//764\nf 764//764 627//627 629//629\nf 631//631 766//766 765//765\nf 765//765 629//629 631//631\nf 633//633 767//767 766//766\nf 766//766 631//631 633//633\nf 635//635 768//768 767//767\nf 767//767 633//633 635//635\nf 637//637 769//769 768//768\nf 768//768 635//635 637//637\nf 770//770 771//771 772//772\nf 773//773 772//772 771//771\nf 774//774 770//770 775//775\nf 772//772 775//775 770//770\nf 776//776 777//777 774//774\nf 774//774 775//775 776//776\nf 778//778 779//779 776//776\nf 777//777 776//776 779//779\nf 780//780 781//781 778//778\nf 779//779 778//778 781//781\nf 782//782 783//783 780//780\nf 781//781 780//780 783//783\nf 772//772 773//773 784//784\nf 785//785 784//784 773//773\nf 775//775 772//772 786//786\nf 784//784 786//786 772//772\nf 776//776 775//775 787//787\nf 786//786 787//787 775//775\nf 788//788 778//778 776//776\nf 776//776 787//787 788//788\nf 789//789 780//780 788//788\nf 778//778 788//788 780//780\nf 790//790 782//782 789//789\nf 780//780 789//789 782//782\nf 784//784 785//785 791//791\nf 792//792 791//791 785//785\nf 786//786 784//784 793//793\nf 791//791 793//793 784//784\nf 787//787 786//786 794//794\nf 793//793 794//794 786//786\nf 795//795 788//788 787//787\nf 787//787 794//794 795//795\nf 796//796 789//789 795//795\nf 788//788 795//795 789//789\nf 797//797 790//790 796//796\nf 789//789 796//796 790//790\nf 791//791 792//792 798//798\nf 799//799 798//798 792//792\nf 793//793 791//791 800//800\nf 798//798 800//800 791//791\nf 794//794 793//793 801//801\nf 800//800 801//801 793//793\nf 802//802 795//795 794//794\nf 794//794 801//801 802//802\nf 803//803 796//796 802//802\nf 795//795 802//802 796//796\nf 804//804 797//797 803//803\nf 796//796 803//803 797//797\nf 798//798 799//799 805//805\nf 806//806 805//805 799//799\nf 800//800 798//798 807//807\nf 805//805 807//807 798//798\nf 801//801 800//800 808//808\nf 807//807 808//808 800//800\nf 809//809 802//802 801//801\nf 801//801 808//808 809//809\nf 810//810 803//803 809//809\nf 802//802 809//809 803//803\nf 811//811 804//804 810//810\nf 803//803 810//810 804//804\nf 805//805 806//806 812//812\nf 813//813 812//812 806//806\nf 807//807 805//805 814//814\nf 812//812 814//814 805//805\nf 815//815 808//808 814//814\nf 807//807 814//814 808//808\nf 816//816 809//809 815//815\nf 808//808 815//815 809//809\nf 817//817 810//810 816//816\nf 809//809 816//816 810//810\nf 818//818 811//811 817//817\nf 810//810 817//817 811//811\nf 819//819 820//820 812//812\nf 812//812 813//813 819//819\nf 820//820 821//821 814//814\nf 814//814 812//812 820//820\nf 822//822 815//815 814//814\nf 814//814 821//821 822//822\nf 823//823 816//816 815//815\nf 815//815 822//822 823//823\nf 824//824 817//817 816//816\nf 816//816 823//823 824//824\nf 825//825 818//818 817//817\nf 817//817 824//824 825//825\nf 826//826 827//827 820//820\nf 820//820 819//819 826//826\nf 827//827 828//828 821//821\nf 821//821 820//820 827//827\nf 828//828 829//829 822//822\nf 822//822 821//821 828//828\nf 830//830 823//823 829//829\nf 822//822 829//829 823//823\nf 831//831 824//824 823//823\nf 823//823 830//830 831//831\nf 832//832 825//825 824//824\nf 824//824 831//831 832//832\nf 833//833 834//834 827//827\nf 827//827 826//826 833//833\nf 834//834 835//835 828//828\nf 828//828 827//827 834//834\nf 835//835 836//836 829//829\nf 829//829 828//828 835//835\nf 837//837 830//830 836//836\nf 829//829 836//836 830//830\nf 838//838 831//831 830//830\nf 830//830 837//837 838//838\nf 839//839 832//832 831//831\nf 831//831 838//838 839//839\nf 840//840 841//841 834//834\nf 834//834 833//833 840//840\nf 841//841 842//842 835//835\nf 835//835 834//834 841//841\nf 842//842 843//843 836//836\nf 836//836 835//835 842//842\nf 844//844 837//837 843//843\nf 836//836 843//843 837//837\nf 845//845 838//838 837//837\nf 837//837 844//844 845//845\nf 846//846 839//839 838//838\nf 838//838 845//845 846//846\nf 847//847 848//848 841//841\nf 841//841 840//840 847//847\nf 848//848 849//849 842//842\nf 842//842 841//841 848//848\nf 849//849 850//850 843//843\nf 843//843 842//842 849//849\nf 851//851 844//844 850//850\nf 843//843 850//850 844//844\nf 852//852 845//845 844//844\nf 844//844 851//851 852//852\nf 853//853 846//846 845//845\nf 845//845 852//852 853//853\nf 771//771 770//770 848//848\nf 848//848 847//847 771//771\nf 770//770 774//774 849//849\nf 849//849 848//848 770//770\nf 777//777 850//850 774//774\nf 849//849 774//774 850//850\nf 779//779 851//851 850//850\nf 850//850 777//777 779//779\nf 781//781 852//852 851//851\nf 851//851 779//779 781//781\nf 783//783 853//853 852//852\nf 852//852 781//781 783//783\nf 854//854 855//855 782//782\nf 783//783 782//782 855//855\nf 856//856 857//857 855//855\nf 855//855 854//854 856//856\nf 858//858 859//859 857//857\nf 857//857 856//856 858//858\nf 860//860 861//861 859//859\nf 859//859 858//858 860//860\nf 862//862 863//863 861//861\nf 861//861 860//860 862//862\nf 864//864 865//865 863//863\nf 863//863 862//862 864//864\nf 866//866 854//854 782//782\nf 782//782 790//790 866//866\nf 867//867 856//856 854//854\nf 854//854 866//866 867//867\nf 868//868 858//858 856//856\nf 856//856 867//867 868//868\nf 869//869 860//860 858//858\nf 858//858 868//868 869//869\nf 870//870 862//862 860//860\nf 860//860 869//869 870//870\nf 871//871 864//864 870//870\nf 862//862 870//870 864//864\nf 872//872 866//866 790//790\nf 790//790 797//797 872//872\nf 873//873 867//867 866//866\nf 866//866 872//872 873//873\nf 874//874 868//868 867//867\nf 867//867 873//873 874//874\nf 875//875 869//869 874//874\nf 868//868 874//874 869//869\nf 876//876 870//870 875//875\nf 869//869 875//875 870//870\nf 877//877 871//871 876//876\nf 870//870 876//876 871//871\nf 878//878 872//872 797//797\nf 797//797 804//804 878//878\nf 879//879 873//873 872//872\nf 872//872 878//878 879//879\nf 880//880 874//874 873//873\nf 873//873 879//879 880//880\nf 881//881 875//875 880//880\nf 874//874 880//880 875//875\nf 882//882 876//876 881//881\nf 875//875 881//881 876//876\nf 883//883 877//877 882//882\nf 876//876 882//882 877//877\nf 884//884 878//878 804//804\nf 804//804 811//811 884//884\nf 885//885 879//879 878//878\nf 878//878 884//884 885//885\nf 886//886 880//880 879//879\nf 879//879 885//885 886//886\nf 887//887 881//881 880//880\nf 880//880 886//886 887//887\nf 888//888 882//882 881//881\nf 881//881 887//887 888//888\nf 889//889 883//883 888//888\nf 882//882 888//888 883//883\nf 890//890 884//884 811//811\nf 811//811 818//818 890//890\nf 891//891 885//885 884//884\nf 884//884 890//890 891//891\nf 892//892 886//886 885//885\nf 885//885 891//891 892//892\nf 893//893 887//887 886//886\nf 886//886 892//892 893//893\nf 894//894 888//888 887//887\nf 887//887 893//893 894//894\nf 895//895 889//889 888//888\nf 888//888 894//894 895//895\nf 896//896 890//890 825//825\nf 818//818 825//825 890//890\nf 897//897 891//891 896//896\nf 890//890 896//896 891//891\nf 898//898 892//892 897//897\nf 891//891 897//897 892//892\nf 899//899 893//893 898//898\nf 892//892 898//898 893//893\nf 900//900 894//894 899//899\nf 893//893 899//899 894//894\nf 901//901 895//895 900//900\nf 894//894 900//900 895//895\nf 902//902 896//896 832//832\nf 825//825 832//832 896//896\nf 903//903 897//897 902//902\nf 896//896 902//902 897//897\nf 904//904 898//898 903//903\nf 897//897 903//903 898//898\nf 905//905 899//899 904//904\nf 898//898 904//904 899//899\nf 906//906 900//900 905//905\nf 899//899 905//905 900//900\nf 907//907 901//901 900//900\nf 900//900 906//906 907//907\nf 908//908 902//902 839//839\nf 832//832 839//839 902//902\nf 909//909 903//903 908//908\nf 902//902 908//908 903//903\nf 910//910 904//904 909//909\nf 903//903 909//909 904//904\nf 911//911 905//905 904//904\nf 904//904 910//910 911//911\nf 912//912 906//906 905//905\nf 905//905 911//911 912//912\nf 913//913 907//907 906//906\nf 906//906 912//912 913//913\nf 914//914 908//908 846//846\nf 839//839 846//846 908//908\nf 915//915 909//909 914//914\nf 908//908 914//914 909//909\nf 916//916 910//910 915//915\nf 909//909 915//915 910//910\nf 917//917 911//911 910//910\nf 910//910 916//916 917//917\nf 918//918 912//912 911//911\nf 911//911 917//917 918//918\nf 919//919 913//913 912//912\nf 912//912 918//918 919//919\nf 920//920 914//914 853//853\nf 846//846 853//853 914//914\nf 921//921 915//915 920//920\nf 914//914 920//920 915//915\nf 922//922 916//916 921//921\nf 915//915 921//921 916//916\nf 923//923 917//917 922//922\nf 916//916 922//922 917//917\nf 924//924 918//918 923//923\nf 917//917 923//923 918//918\nf 925//925 919//919 918//918\nf 918//918 924//924 925//925\nf 855//855 920//920 853//853\nf 853//853 783//783 855//855\nf 857//857 921//921 855//855\nf 920//920 855//855 921//921\nf 859//859 922//922 857//857\nf 921//921 857//857 922//922\nf 861//861 923//923 859//859\nf 922//922 859//859 923//923\nf 863//863 924//924 861//861\nf 923//923 861//861 924//924\nf 865//865 925//925 863//863\nf 924//924 863//863 925//925\nf 926//926 927//927 928//928\nf 928//928 929//929 926//926\nf 929//929 928//928 930//930\nf 930//930 931//931 929//929\nf 931//931 930//930 932//932\nf 932//932 933//933 931//931\nf 933//933 932//932 934//934\nf 934//934 935//935 933//933\nf 935//935 934//934 936//936\nf 936//936 937//937 935//935\nf 937//937 936//936 938//938\nf 939//939 938//938 936//936\nf 940//940 941//941 927//927\nf 928//928 927//927 941//941\nf 928//928 941//941 942//942\nf 942//942 930//930 928//928\nf 930//930 942//942 943//943\nf 943//943 932//932 930//930\nf 932//932 943//943 944//944\nf 944//944 934//934 932//932\nf 934//934 944//944 936//936\nf 945//945 936//936 944//944\nf 936//936 945//945 939//939\nf 946//946 939//939 945//945\nf 947//947 948//948 940//940\nf 941//941 940//940 948//948\nf 941//941 948//948 949//949\nf 949//949 942//942 941//941\nf 942//942 949//949 943//943\nf 950//950 943//943 949//949\nf 943//943 950//950 944//944\nf 951//951 944//944 950//950\nf 944//944 951//951 945//945\nf 952//952 945//945 951//951\nf 945//945 952//952 946//946\nf 953//953 946//946 952//952\nf 954//954 955//955 947//947\nf 948//948 947//947 955//955\nf 948//948 955//955 956//956\nf 956//956 949//949 948//948\nf 949//949 956//956 950//950\nf 957//957 950//950 956//956\nf 950//950 957//957 951//951\nf 958//958 951//951 957//957\nf 951//951 958//958 952//952\nf 959//959 952//952 958//958\nf 952//952 959//959 953//953\nf 960//960 953//953 959//959\nf 954//954 961//961 962//962\nf 962//962 955//955 954//954\nf 955//955 962//962 956//956\nf 963//963 956//956 962//962\nf 956//956 963//963 957//957\nf 964//964 957//957 963//963\nf 957//957 964//964 958//958\nf 965//965 958//958 964//964\nf 958//958 965//965 959//959\nf 966//966 959//959 965//965\nf 959//959 966//966 960//960\nf 967//967 960//960 966//966\nf 961//961 968//968 962//962\nf 969//969 962//962 968//968\nf 962//962 969//969 963//963\nf 970//970 963//963 969//969\nf 963//963 970//970 964//964\nf 971//971 964//964 970//970\nf 964//964 971//971 965//965\nf 972//972 965//965 971//971\nf 965//965 972//972 966//966\nf 973//973 966//966 972//972\nf 966//966 973//973 967//967\nf 974//974 967//967 973//973\nf 968//968 975//975 976//976\nf 976//976 969//969 968//968\nf 969//969 976//976 977//977\nf 977//977 970//970 969//969\nf 970//970 977//977 978//978\nf 978//978 971//971 970//970\nf 971//971 978//978 979//979\nf 979//979 972//972 971//971\nf 972//972 979//979 980//980\nf 980//980 973//973 972//972\nf 973//973 980//980 981//981\nf 981//981 974//974 973//973\nf 975//975 982//982 976//976\nf 983//983 976//976 982//982\nf 976//976 983//983 984//984\nf 984//984 977//977 976//976\nf 977//977 984//984 985//985\nf 985//985 978//978 977//977\nf 978//978 985//985 986//986\nf 986//986 979//979 978//978\nf 979//979 986//986 987//987\nf 987//987 980//980 979//979\nf 980//980 987//987 988//988\nf 988//988 981//981 980//980\nf 983//983 982//982 989//989\nf 989//989 990//990 983//983\nf 983//983 990//990 984//984\nf 991//991 984//984 990//990\nf 984//984 991//991 992//992\nf 992//992 985//985 984//984\nf 985//985 992//992 993//993\nf 993//993 986//986 985//985\nf 986//986 993//993 994//994\nf 994//994 987//987 986//986\nf 987//987 994//994 995//995\nf 995//995 988//988 987//987\nf 990//990 989//989 996//996\nf 996//996 997//997 990//990\nf 990//990 997//997 991//991\nf 998//998 991//991 997//997\nf 991//991 998//998 999//999\nf 999//999 992//992 991//991\nf 992//992 999//999 1000//1000\nf 1000//1000 993//993 992//992\nf 993//993 1000//1000 1001//1001\nf 1001//1001 994//994 993//993\nf 994//994 1001//1001 1002//1002\nf 1002//1002 995//995 994//994\nf 997//997 996//996 1003//1003\nf 1003//1003 1004//1004 997//997\nf 997//997 1004//1004 998//998\nf 1005//1005 998//998 1004//1004\nf 998//998 1005//1005 999//999\nf 1006//1006 999//999 1005//1005\nf 999//999 1006//1006 1000//1000\nf 1007//1007 1000//1000 1006//1006\nf 1000//1000 1007//1007 1008//1008\nf 1008//1008 1001//1001 1000//1000\nf 1001//1001 1008//1008 1009//1009\nf 1009//1009 1002//1002 1001//1001\nf 1003//1003 926//926 1004//1004\nf 929//929 1004//1004 926//926\nf 1004//1004 929//929 1005//1005\nf 931//931 1005//1005 929//929\nf 1005//1005 931//931 1006//1006\nf 933//933 1006//1006 931//931\nf 1006//1006 933//933 1007//1007\nf 935//935 1007//1007 933//933\nf 1007//1007 935//935 1008//1008\nf 937//937 1008//1008 935//935\nf 1008//1008 937//937 938//938\nf 938//938 1009//1009 1008//1008\nf 938//938 939//939 1010//1010\nf 1011//1011 1010//1010 939//939\nf 1010//1010 1011//1011 1012//1012\nf 1013//1013 1012//1012 1011//1011\nf 1012//1012 1013//1013 1014//1014\nf 1015//1015 1014//1014 1013//1013\nf 1016//1016 1017//1017 1014//1014\nf 1014//1014 1015//1015 1016//1016\nf 1018//1018 1019//1019 1017//1017\nf 1017//1017 1016//1016 1018//1018\nf 1020//1020 1021//1021 1019//1019\nf 1019//1019 1018//1018 1020//1020\nf 939//939 946//946 1011//1011\nf 1022//1022 1011//1011 946//946\nf 1011//1011 1022//1022 1013//1013\nf 1023//1023 1013//1013 1022//1022\nf 1013//1013 1023//1023 1015//1015\nf 1024//1024 1015//1015 1023//1023\nf 1025//1025 1016//1016 1015//1015\nf 1015//1015 1024//1024 1025//1025\nf 1026//1026 1018//1018 1016//1016\nf 1016//1016 1025//1025 1026//1026\nf 1027//1027 1020//1020 1018//1018\nf 1018//1018 1026//1026 1027//1027\nf 946//946 953//953 1022//1022\nf 1028//1028 1022//1022 953//953\nf 1022//1022 1028//1028 1023//1023\nf 1029//1029 1023//1023 1028//1028\nf 1023//1023 1029//1029 1024//1024\nf 1030//1030 1024//1024 1029//1029\nf 1031//1031 1025//1025 1024//1024\nf 1024//1024 1030//1030 1031//1031\nf 1032//1032 1026//1026 1025//1025\nf 1025//1025 1031//1031 1032//1032\nf 1033//1033 1027//1027 1026//1026\nf 1026//1026 1032//1032 1033//1033\nf 953//953 960//960 1028//1028\nf 1034//1034 1028//1028 960//960\nf 1028//1028 1034//1034 1029//1029\nf 1035//1035 1029//1029 1034//1034\nf 1029//1029 1035//1035 1030//1030\nf 1036//1036 1030//1030 1035//1035\nf 1037//1037 1031//1031 1030//1030\nf 1030//1030 1036//1036 1037//1037\nf 1038//1038 1032//1032 1031//1031\nf 1031//1031 1037//1037 1038//1038\nf 1039//1039 1033//1033 1032//1032\nf 1032//1032 1038//1038 1039//1039\nf 960//960 967//967 1034//1034\nf 1040//1040 1034//1034 967//967\nf 1034//1034 1040//1040 1035//1035\nf 1041//1041 1035//1035 1040//1040\nf 1035//1035 1041//1041 1036//1036\nf 1042//1042 1036//1036 1041//1041\nf 1043//1043 1037//1037 1036//1036\nf 1036//1036 1042//1042 1043//1043\nf 1044//1044 1038//1038 1037//1037\nf 1037//1037 1043//1043 1044//1044\nf 1045//1045 1039//1039 1038//1038\nf 1038//1038 1044//1044 1045//1045\nf 967//967 974//974 1040//1040\nf 1046//1046 1040//1040 974//974\nf 1040//1040 1046//1046 1041//1041\nf 1047//1047 1041//1041 1046//1046\nf 1041//1041 1047//1047 1042//1042\nf 1048//1048 1042//1042 1047//1047\nf 1049//1049 1043//1043 1042//1042\nf 1042//1042 1048//1048 1049//1049\nf 1050//1050 1044//1044 1043//1043\nf 1043//1043 1049//1049 1050//1050\nf 1051//1051 1045//1045 1044//1044\nf 1044//1044 1050//1050 1051//1051\nf 974//974 981//981 1052//1052\nf 1052//1052 1046//1046 974//974\nf 1046//1046 1052//1052 1053//1053\nf 1053//1053 1047//1047 1046//1046\nf 1047//1047 1053//1053 1054//1054\nf 1054//1054 1048//1048 1047//1047\nf 1055//1055 1049//1049 1054//1054\nf 1048//1048 1054//1054 1049//1049\nf 1056//1056 1050//1050 1055//1055\nf 1049//1049 1055//1055 1050//1050\nf 1057//1057 1051//1051 1056//1056\nf 1050//1050 1056//1056 1051//1051\nf 981//981 988//988 1058//1058\nf 1058//1058 1052//1052 981//981\nf 1052//1052 1058//1058 1059//1059\nf 1059//1059 1053//1053 1052//1052\nf 1053//1053 1059//1059 1060//1060\nf 1060//1060 1054//1054 1053//1053\nf 1061//1061 1055//1055 1060//1060\nf 1054//1054 1060//1060 1055//1055\nf 1062//1062 1056//1056 1061//1061\nf 1055//1055 1061//1061 1056//1056\nf 1063//1063 1057//1057 1062//1062\nf 1056//1056 1062//1062 1057//1057\nf 988//988 995//995 1064//1064\nf 1064//1064 1058//1058 988//988\nf 1058//1058 1064//1064 1065//1065\nf 1065//1065 1059//1059 1058//1058\nf 1059//1059 1065//1065 1066//1066\nf 1066//1066 1060//1060 1059//1059\nf 1067//1067 1061//1061 1066//1066\nf 1060//1060 1066//1066 1061//1061\nf 1068//1068 1062//1062 1067//1067\nf 1061//1061 1067//1067 1062//1062\nf 1069//1069 1063//1063 1068//1068\nf 1062//1062 1068//1068 1063//1063\nf 995//995 1002//1002 1070//1070\nf 1070//1070 1064//1064 995//995\nf 1064//1064 1070//1070 1071//1071\nf 1071//1071 1065//1065 1064//1064\nf 1065//1065 1071//1071 1072//1072\nf 1072//1072 1066//1066 1065//1065\nf 1073//1073 1067//1067 1072//1072\nf 1066//1066 1072//1072 1067//1067\nf 1074//1074 1068//1068 1073//1073\nf 1067//1067 1073//1073 1068//1068\nf 1075//1075 1069//1069 1074//1074\nf 1068//1068 1074//1074 1069//1069\nf 1002//1002 1009//1009 1076//1076\nf 1076//1076 1070//1070 1002//1002\nf 1070//1070 1076//1076 1077//1077\nf 1077//1077 1071//1071 1070//1070\nf 1071//1071 1077//1077 1078//1078\nf 1078//1078 1072//1072 1071//1071\nf 1079//1079 1073//1073 1078//1078\nf 1072//1072 1078//1078 1073//1073\nf 1080//1080 1074//1074 1079//1079\nf 1073//1073 1079//1079 1074//1074\nf 1081//1081 1075//1075 1080//1080\nf 1074//1074 1080//1080 1075//1075\nf 1009//1009 938//938 1010//1010\nf 1010//1010 1076//1076 1009//1009\nf 1076//1076 1010//1010 1012//1012\nf 1012//1012 1077//1077 1076//1076\nf 1077//1077 1012//1012 1014//1014\nf 1014//1014 1078//1078 1077//1077\nf 1017//1017 1079//1079 1014//1014\nf 1078//1078 1014//1014 1079//1079\nf 1019//1019 1080//1080 1017//1017\nf 1079//1079 1017//1017 1080//1080\nf 1021//1021 1081//1081 1019//1019\nf 1080//1080 1019//1019 1081//1081\nf 1082//1082 1083//1083 1084//1084\nf 1084//1084 1083//1083 1085//1085\nf 1085//1085 1083//1083 1086//1086\nf 1086//1086 1083//1083 1087//1087\nf 1087//1087 1083//1083 1088//1088\nf 1088//1088 1083//1083 1089//1089\nf 1089//1089 1083//1083 1090//1090\nf 1090//1090 1083//1083 1091//1091\nf 1091//1091 1083//1083 1092//1092\nf 1092//1092 1083//1083 1093//1093\nf 1093//1093 1083//1083 1094//1094\nf 1094//1094 1083//1083 1095//1095\nf 1095//1095 1083//1083 1096//1096\nf 1096//1096 1083//1083 1097//1097\nf 1097//1097 1083//1083 1098//1098\nf 1098//1098 1083//1083 1099//1099\nf 1099//1099 1083//1083 1100//1100\nf 1100//1100 1083//1083 1101//1101\nf 1101//1101 1083//1083 1102//1102\nf 1102//1102 1083//1083 1103//1103\nf 1103//1103 1083//1083 1104//1104\nf 1104//1104 1083//1083 1105//1105\nf 1105//1105 1083//1083 1106//1106\nf 1106//1106 1083//1083 1082//1082\nf 1107//1107 1108//1108 1084//1084\nf 1082//1082 1084//1084 1108//1108\nf 1109//1109 1110//1110 1108//1108\nf 1108//1108 1107//1107 1109//1109\nf 1111//1111 1112//1112 1110//1110\nf 1110//1110 1109//1109 1111//1111\nf 1113//1113 1114//1114 1112//1112\nf 1112//1112 1111//1111 1113//1113\nf 1115//1115 1107//1107 1085//1085\nf 1084//1084 1085//1085 1107//1107\nf 1116//1116 1109//1109 1107//1107\nf 1107//1107 1115//1115 1116//1116\nf 1117//1117 1111//1111 1109//1109\nf 1109//1109 1116//1116 1117//1117\nf 1118//1118 1113//1113 1111//1111\nf 1111//1111 1117//1117 1118//1118\nf 1119//1119 1115//1115 1086//1086\nf 1085//1085 1086//1086 1115//1115\nf 1120//1120 1116//1116 1115//1115\nf 1115//1115 1119//1119 1120//1120\nf 1121//1121 1117//1117 1116//1116\nf 1116//1116 1120//1120 1121//1121\nf 1122//1122 1118//1118 1117//1117\nf 1117//1117 1121//1121 1122//1122\nf 1123//1123 1119//1119 1086//1086\nf 1086//1086 1087//1087 1123//1123\nf 1124//1124 1120//1120 1123//1123\nf 1119//1119 1123//1123 1120//1120\nf 1125//1125 1121//1121 1124//1124\nf 1120//1120 1124//1124 1121//1121\nf 1126//1126 1122//1122 1125//1125\nf 1121//1121 1125//1125 1122//1122\nf 1127//1127 1123//1123 1087//1087\nf 1087//1087 1088//1088 1127//1127\nf 1128//1128 1124//1124 1127//1127\nf 1123//1123 1127//1127 1124//1124\nf 1129//1129 1125//1125 1128//1128\nf 1124//1124 1128//1128 1125//1125\nf 1130//1130 1126//1126 1129//1129\nf 1125//1125 1129//1129 1126//1126\nf 1131//1131 1127//1127 1088//1088\nf 1088//1088 1089//1089 1131//1131\nf 1132//1132 1128//1128 1131//1131\nf 1127//1127 1131//1131 1128//1128\nf 1133//1133 1129//1129 1132//1132\nf 1128//1128 1132//1132 1129//1129\nf 1134//1134 1130//1130 1133//1133\nf 1129//1129 1133//1133 1130//1130\nf 1135//1135 1131//1131 1090//1090\nf 1089//1089 1090//1090 1131//1131\nf 1136//1136 1132//1132 1131//1131\nf 1131//1131 1135//1135 1136//1136\nf 1137//1137 1133//1133 1132//1132\nf 1132//1132 1136//1136 1137//1137\nf 1138//1138 1134//1134 1133//1133\nf 1133//1133 1137//1137 1138//1138\nf 1139//1139 1135//1135 1091//1091\nf 1090//1090 1091//1091 1135//1135\nf 1140//1140 1136//1136 1135//1135\nf 1135//1135 1139//1139 1140//1140\nf 1141//1141 1137//1137 1136//1136\nf 1136//1136 1140//1140 1141//1141\nf 1142//1142 1138//1138 1137//1137\nf 1137//1137 1141//1141 1142//1142\nf 1143//1143 1139//1139 1092//1092\nf 1091//1091 1092//1092 1139//1139\nf 1144//1144 1140//1140 1139//1139\nf 1139//1139 1143//1143 1144//1144\nf 1145//1145 1141//1141 1140//1140\nf 1140//1140 1144//1144 1145//1145\nf 1146//1146 1142//1142 1141//1141\nf 1141//1141 1145//1145 1146//1146\nf 1147//1147 1143//1143 1092//1092\nf 1092//1092 1093//1093 1147//1147\nf 1148//1148 1144//1144 1147//1147\nf 1143//1143 1147//1147 1144//1144\nf 1149//1149 1145//1145 1148//1148\nf 1144//1144 1148//1148 1145//1145\nf 1150//1150 1146//1146 1149//1149\nf 1145//1145 1149//1149 1146//1146\nf 1151//1151 1147//1147 1093//1093\nf 1093//1093 1094//1094 1151//1151\nf 1152//1152 1148//1148 1151//1151\nf 1147//1147 1151//1151 1148//1148\nf 1153//1153 1149//1149 1152//1152\nf 1148//1148 1152//1152 1149//1149\nf 1154//1154 1150//1150 1153//1153\nf 1149//1149 1153//1153 1150//1150\nf 1155//1155 1151//1151 1094//1094\nf 1094//1094 1095//1095 1155//1155\nf 1156//1156 1152//1152 1155//1155\nf 1151//1151 1155//1155 1152//1152\nf 1157//1157 1153//1153 1156//1156\nf 1152//1152 1156//1156 1153//1153\nf 1158//1158 1154//1154 1157//1157\nf 1153//1153 1157//1157 1154//1154\nf 1159//1159 1155//1155 1096//1096\nf 1095//1095 1096//1096 1155//1155\nf 1160//1160 1156//1156 1155//1155\nf 1155//1155 1159//1159 1160//1160\nf 1161//1161 1157//1157 1156//1156\nf 1156//1156 1160//1160 1161//1161\nf 1162//1162 1158//1158 1157//1157\nf 1157//1157 1161//1161 1162//1162\nf 1163//1163 1159//1159 1097//1097\nf 1096//1096 1097//1097 1159//1159\nf 1164//1164 1160//1160 1159//1159\nf 1159//1159 1163//1163 1164//1164\nf 1165//1165 1161//1161 1160//1160\nf 1160//1160 1164//1164 1165//1165\nf 1166//1166 1162//1162 1161//1161\nf 1161//1161 1165//1165 1166//1166\nf 1167//1167 1163//1163 1098//1098\nf 1097//1097 1098//1098 1163//1163\nf 1168//1168 1164//1164 1163//1163\nf 1163//1163 1167//1167 1168//1168\nf 1169//1169 1165//1165 1164//1164\nf 1164//1164 1168//1168 1169//1169\nf 1170//1170 1166//1166 1165//1165\nf 1165//1165 1169//1169 1170//1170\nf 1171//1171 1167//1167 1098//1098\nf 1098//1098 1099//1099 1171//1171\nf 1172//1172 1168//1168 1171//1171\nf 1167//1167 1171//1171 1168//1168\nf 1173//1173 1169//1169 1172//1172\nf 1168//1168 1172//1172 1169//1169\nf 1174//1174 1170//1170 1173//1173\nf 1169//1169 1173//1173 1170//1170\nf 1175//1175 1171//1171 1099//1099\nf 1099//1099 1100//1100 1175//1175\nf 1176//1176 1172//1172 1175//1175\nf 1171//1171 1175//1175 1172//1172\nf 1177//1177 1173//1173 1176//1176\nf 1172//1172 1176//1176 1173//1173\nf 1178//1178 1174//1174 1177//1177\nf 1173//1173 1177//1177 1174//1174\nf 1179//1179 1175//1175 1100//1100\nf 1100//1100 1101//1101 1179//1179\nf 1180//1180 1176//1176 1179//1179\nf 1175//1175 1179//1179 1176//1176\nf 1181//1181 1177//1177 1180//1180\nf 1176//1176 1180//1180 1177//1177\nf 1182//1182 1178//1178 1181//1181\nf 1177//1177 1181//1181 1178//1178\nf 1183//1183 1179//1179 1102//1102\nf 1101//1101 1102//1102 1179//1179\nf 1184//1184 1180//1180 1179//1179\nf 1179//1179 1183//1183 1184//1184\nf 1185//1185 1181//1181 1180//1180\nf 1180//1180 1184//1184 1185//1185\nf 1186//1186 1182//1182 1181//1181\nf 1181//1181 1185//1185 1186//1186\nf 1187//1187 1183//1183 1103//1103\nf 1102//1102 1103//1103 1183//1183\nf 1188//1188 1184//1184 1183//1183\nf 1183//1183 1187//1187 1188//1188\nf 1189//1189 1185//1185 1184//1184\nf 1184//1184 1188//1188 1189//1189\nf 1190//1190 1186//1186 1185//1185\nf 1185//1185 1189//1189 1190//1190\nf 1191//1191 1187//1187 1104//1104\nf 1103//1103 1104//1104 1187//1187\nf 1192//1192 1188//1188 1187//1187\nf 1187//1187 1191//1191 1192//1192\nf 1193//1193 1189//1189 1188//1188\nf 1188//1188 1192//1192 1193//1193\nf 1194//1194 1190//1190 1189//1189\nf 1189//1189 1193//1193 1194//1194\nf 1195//1195 1191//1191 1104//1104\nf 1104//1104 1105//1105 1195//1195\nf 1196//1196 1192//1192 1195//1195\nf 1191//1191 1195//1195 1192//1192\nf 1197//1197 1193//1193 1196//1196\nf 1192//1192 1196//1196 1193//1193\nf 1198//1198 1194//1194 1197//1197\nf 1193//1193 1197//1197 1194//1194\nf 1199//1199 1195//1195 1105//1105\nf 1105//1105 1106//1106 1199//1199\nf 1200//1200 1196//1196 1199//1199\nf 1195//1195 1199//1199 1196//1196\nf 1201//1201 1197//1197 1200//1200\nf 1196//1196 1200//1200 1197//1197\nf 1202//1202 1198//1198 1201//1201\nf 1197//1197 1201//1201 1198//1198\nf 1108//1108 1199//1199 1106//1106\nf 1106//1106 1082//1082 1108//1108\nf 1110//1110 1200//1200 1108//1108\nf 1199//1199 1108//1108 1200//1200\nf 1112//1112 1201//1201 1110//1110\nf 1200//1200 1110//1110 1201//1201\nf 1114//1114 1202//1202 1112//1112\nf 1201//1201 1112//1112 1202//1202\n"
  },
  {
    "path": "vkoo/include/vkoo/ObjParser.h",
    "content": "#pragma once\n\n#include \"common.h\"\n\nnamespace vkoo {\nstruct MeshGroup {\n  std::string name;\n  size_t start_face_index;\n  size_t num_indices;\n  std::string material_name;\n};\n\nstruct ParsedData {\n  std::unique_ptr<std::vector<glm::vec3>> positions;\n  std::unique_ptr<std::vector<glm::vec3>> normals;\n  std::unique_ptr<std::vector<uint32_t>> indices;\n  std::unique_ptr<std::vector<glm::vec2>> tex_coords;\n\n  std::vector<MeshGroup> groups;\n};\n\nclass ObjParser {\n public:\n  static ParsedData Parse(const std::string& file_path, bool& success);\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/common.h",
    "content": "#pragma once\n\n#ifndef GLM_FORCE_RADIANS\n#define GLM_FORCE_RADIANS\n#endif\n#ifndef GLM_FORCE_DEPTH_ZERO_TO_ONE\n#define GLM_FORCE_DEPTH_ZERO_TO_ONE\n#endif\n\n#include <glm/glm.hpp>\n#include <glm/gtc/matrix_transform.hpp>\n#include <glm/gtc/quaternion.hpp>\n#include <glm/gtc/type_ptr.hpp>\n#include <glm/gtx/hash.hpp>\n#include <glm/gtx/matrix_decompose.hpp>\n#include <glm/gtx/norm.hpp>\n#include <vulkan/vulkan.h>\n\n#include <algorithm>\n#include <array>\n#include <cassert>\n#include <chrono>\n#include <cstring>\n#include <fstream>\n#include <iostream>\n#include <map>\n#include <memory>\n#include <mutex>\n#include <random>\n#include <set>\n#include <sstream>\n#include <string>\n#include <typeindex>\n#include <vector>\n\nnamespace vkoo {\nstd::string GetErrorString(VkResult error_code);\n\n#define VK_CHECK(f)                                                            \\\n  {                                                                            \\\n    VkResult res = (f);                                                        \\\n    if (res != VK_SUCCESS) {                                                   \\\n      std::cout << \"Fatal : VkResult is \\\"\" << GetErrorString(res) << \"\\\" in \" \\\n                << __FILE__ << \" at line \" << __LINE__ << \"\\n\";                \\\n      assert(res == VK_SUCCESS);                                               \\\n    }                                                                          \\\n  }\n\nbool IsDepthOnlyFormat(VkFormat format);\nbool IsDepthStencilFormat(VkFormat format);\nVkFormat GetSuitableDepthFormat(\n    VkPhysicalDevice physical_device, bool depth_only = false,\n    const std::vector<VkFormat>& depth_format_priority_list = {\n        VK_FORMAT_D32_SFLOAT, VK_FORMAT_D32_SFLOAT_S8_UINT,\n        VK_FORMAT_D24_UNORM_S8_UINT, VK_FORMAT_D16_UNORM_S8_UINT,\n        VK_FORMAT_D16_UNORM});\n\nconst float kPi = std::atan(1.0f) * 4;\n\ntemplate <class T>\nusing BindingMap = std::map<uint32_t, std::map<uint32_t, T>>;\n\nstruct LoadStoreInfo {\n  VkAttachmentLoadOp load_op = VK_ATTACHMENT_LOAD_OP_CLEAR;\n  VkAttachmentStoreOp store_op = VK_ATTACHMENT_STORE_OP_STORE;\n};\n\ntemplate <typename T>\ninline std::vector<uint8_t> to_bytes(const T& value) {\n  return std::vector<uint8_t>{\n      reinterpret_cast<const uint8_t*>(&value),\n      reinterpret_cast<const uint8_t*>(&value) + sizeof(T)};\n}\n\nstruct ImageMemoryBarrier {\n  VkPipelineStageFlags src_stage_mask{VK_PIPELINE_STAGE_BOTTOM_OF_PIPE_BIT};\n  VkPipelineStageFlags dst_stage_mask{VK_PIPELINE_STAGE_TOP_OF_PIPE_BIT};\n  VkAccessFlags src_access_mask{0};\n  VkAccessFlags dst_access_mask{0};\n  VkImageLayout old_layout{VK_IMAGE_LAYOUT_UNDEFINED};\n  VkImageLayout new_layout{VK_IMAGE_LAYOUT_UNDEFINED};\n};\n\ntemplate <class T>\ninline void hash_combine(size_t& seed, const T& v) {\n  std::hash<T> hasher;\n  glm::detail::hash_combine(seed, hasher(v));\n}\n\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/Application.h",
    "content": "#pragma once\n\n#define GLFW_INCLUDE_VULKAN\n#include <GLFW/glfw3.h>\n\n#include \"Device.h\"\n#include \"InputEvent.h\"\n#include \"Instance.h\"\n#include \"PhysicalDevice.h\"\n#include \"RenderContext.h\"\n#include \"RenderPipeline.h\"\n#include \"vkoo/st/Scene.h\"\n\nnamespace vkoo {\nclass Gui;\n\nclass Application {\n public:\n  Application(bool enable_validation_layer);\n  virtual ~Application();\n\n  virtual void Prepare();\n  virtual void Update(float delta_time);\n  virtual void Draw(CommandBuffer& command_buffer, RenderTarget& render_target);\n  virtual void DrawRenderPasses(CommandBuffer& command_buffer,\n                                RenderTarget& render_target) = 0;\n  virtual void MainLoop();\n\n  RenderContext& GetRenderContext() { return *render_context_; }\n  float GetContentScaleFactor() const;\n  virtual float GetDpiFactor() const;\n  void GetWindowSize(uint32_t& width, uint32_t& height);\n  float GetWindowAspectRatio();\n  GLFWwindow* GetGLFWWindow() { return window_; }\n\n  bool IsKeyPressed(int key);\n  void GetMousePosition(float& x_pos, float& y_pos);\n  Device& GetDevice();\n  st::Scene& GetScene();\n\n protected:\n  virtual void PrepareRenderContext();\n  void SetViewPortAndScissor(CommandBuffer& command_buffer,\n                             const VkExtent2D& extent) const;\n  void ChangeWindowSize(uint32_t new_width, uint32_t new_height);\n  virtual void UpdateScene(float delta_time);\n  virtual void UpdateGui(float delta_time);\n  virtual void DrawGui() {}\n  virtual void FramebufferSizeCallback(int width, int height);\n  virtual void HandleInputEvent(const InputEvent& event);\n\n  std::unique_ptr<Instance> instance_;\n  std::unique_ptr<Device> device_;\n\n  // render_context_ manages the swapchain and a list of RenderFrame.\n  std::unique_ptr<RenderContext> render_context_;\n\n  std::string name_;\n\n  std::unique_ptr<st::Scene> scene_;\n\n  std::unique_ptr<Gui> gui_;\n  GLFWwindow* window_;\n\n  uint32_t starter_width_{1280};\n  uint32_t starter_height_{720};\n\n private:\n  void PrepareWindow();\n  void CreateSurface();\n  void CursorPositionCallback(float x_pos, float y_pos);\n  void MouseButtonCallback(int button, int action, float x_pos, float y_pos);\n  void KeyCallback(int key, int action);\n  void CharCallback(unsigned int codepoint);\n  void ScrollCallback(double x_offset, double y_offset);\n\n  bool enable_validation_layer_;\n  VkSurfaceKHR surface_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/Buffer.h",
    "content": "#pragma once\n\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass Device;\n\nnamespace core {\nclass Buffer {\n public:\n  Buffer(Device& device, VkDeviceSize size, VkBufferUsageFlags usage,\n         VkMemoryPropertyFlags properties);\n  ~Buffer();\n  Buffer(Buffer&& other);\n\n  VkBuffer GetHandle() const { return handle_; }\n  VkDeviceSize GetSize() const { return size_; }\n  uint8_t* Map();\n  void Unmap();\n  void Update(const std::vector<uint8_t>& data, size_t offset = 0);\n  void Update(const uint8_t* data, size_t size, size_t offset = 0);\n\n  template <class T>\n  void ConvertAndUpdate(const T& value, uint32_t offset = 0) {\n    Update(to_bytes(value), offset);\n  }\n\n private:\n  Device& device_;\n  VkDeviceSize size_;\n  VkBuffer handle_;\n  VkDeviceMemory memory_;\n  uint8_t* mapped_data_;\n  bool mapped_;\n};\n}  // namespace core\n}  // namespace vkoo"
  },
  {
    "path": "vkoo/include/vkoo/core/BufferPool.h",
    "content": "#pragma once\n\n#include \"Buffer.h\"\n\nnamespace vkoo {\nclass Device;\n\nclass BufferPool {\n public:\n  BufferPool(Device& device, VkBufferUsageFlags usage,\n             VkMemoryPropertyFlags memory_properties);\n\n  core::Buffer& RequestBuffer(VkDeviceSize size);\n  void Reset();\n\n private:\n  Device& device_;\n  std::vector<std::unique_ptr<core::Buffer>> buffers_;\n  VkBufferUsageFlags usage_;\n  VkMemoryPropertyFlags memory_properties_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/CommandBuffer.h",
    "content": "#pragma once\n\n#include \"Framebuffer.h\"\n#include \"PipelineState.h\"\n#include \"ResourceBindingState.h\"\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass CommandPool;\nclass Subpass;\n\nclass CommandBuffer {\n public:\n  struct RenderPassBinding {\n    const RenderPass* render_pass;\n    const Framebuffer* framebuffer;\n  };\n\n  CommandBuffer(CommandPool& command_pool);\n  ~CommandBuffer();\n  const VkCommandBuffer& GetHandle() const { return handle_; }\n  void Flush(VkPipelineBindPoint pipeline_bind_point);\n  void Begin(VkCommandBufferUsageFlags flags);\n  void End();\n  void Reset();\n\n  void SetViewport(uint32_t first_viewport,\n                   const std::vector<VkViewport>& viewports);\n  void SetScissor(uint32_t first_scissor,\n                  const std::vector<VkRect2D>& scissors);\n\n  void BeginRenderPass(\n      const VkExtent2D& extent,\n      const std::vector<VkImageView>& attachment_views,\n      const std::vector<VkAttachmentDescription2KHR>& attachment_descriptions,\n      const std::vector<VkClearValue>& clear_values,\n      const std::vector<std::unique_ptr<Subpass>>& subpasses,\n      const std::vector<VkSubpassDependency2KHR>& dependencies,\n      VkSubpassContents contents);\n  void BeginRenderPass(const VkExtent2D& extent, const RenderPass& render_pass,\n                       const Framebuffer& framebuffer,\n                       const std::vector<VkClearValue>& clear_values,\n                       VkSubpassContents contents);\n\n  void EndRenderPass();\n  Device& GetDevice();\n\n  void SetVertexInputState(const VertexInputState& state);\n  void SetInputAssemblyState(const InputAssemblyState& state);\n  void SetRasterizationState(const RasterizationState& state);\n  void SetMultisampleState(const MultisampleState& state);\n  void SetColorBlendState(const ColorBlendState& state);\n  void SetDepthStencilState(const DepthStencilState& state);\n\n  void BindPipelineLayout(PipelineLayout& pipeline_layout);\n  void BindVertexBuffers(uint32_t first_binding,\n                         const std::vector<core::Buffer*>& buffers,\n                         const std::vector<VkDeviceSize>& offsets);\n  void BindIndexBuffer(const core::Buffer& buffer, VkDeviceSize offset,\n                       VkIndexType index_type);\n  void DrawIndexed(uint32_t index_count, uint32_t instance_count,\n                   uint32_t first_index, int32_t vertex_offset,\n                   uint32_t first_instance);\n  void Draw(uint32_t vertex_count, uint32_t instance_count,\n            uint32_t first_vertex, uint32_t first_instance);\n\n  void BindBuffer(const core::Buffer& buffer, VkDeviceSize offset,\n                  VkDeviceSize range, uint32_t set, uint32_t binding,\n                  uint32_t array_element);\n  void BindImage(const core::ImageView& image_view, uint32_t set,\n                 uint32_t binding, uint32_t array_element);\n  void BindImage(const core::ImageView& image_view,\n                 const core::Sampler& sampler, uint32_t set, uint32_t binding,\n                 uint32_t array_element);\n  void BindInput(const core::ImageView& image_view, uint32_t set,\n                 uint32_t binding, uint32_t array_element);\n\n  void InsertImageMemoryBarrier(const core::ImageView& image_view,\n                                const ImageMemoryBarrier& memory_barrier);\n  void InsertImageMemoryBarrier(VkImage image,\n                                const ImageMemoryBarrier& memory_barrier,\n                                VkImageSubresourceRange subresource_range);\n\n  void CopyBufferToImage(const core::Buffer& buffer, const core::Image& image,\n                         const std::vector<VkBufferImageCopy>& regions);\n\n  template <typename T>\n  void PushConstants(const T& value) {\n    auto data = to_bytes(value);\n\n    uint32_t size =\n        static_cast<uint32_t>(stored_push_constants_.size() + data.size());\n\n    if (size > max_push_constants_size_) {\n      throw std::runtime_error(\"Cannot overflow push constant limit\");\n    }\n\n    stored_push_constants_.insert(stored_push_constants_.end(), data.begin(),\n                                  data.end());\n  }\n\n  void NextSubpass();\n\n private:\n  void FlushPipelineState(VkPipelineBindPoint pipeline_bind_point);\n  void FlushDescriptorState(VkPipelineBindPoint pipeline_bind_point);\n  void FlushPushConstants();\n\n  RenderPass& GetRenderPass(\n      const std::vector<VkAttachmentDescription2KHR>& attachment_descriptions,\n      const std::vector<std::unique_ptr<Subpass>>& subpasses,\n      const std::vector<VkSubpassDependency2KHR>& dependencies);\n\n  CommandPool& command_pool_;\n  VkCommandBuffer handle_;\n  PipelineState pipeline_state_;\n  ResourceBindingState resource_binding_state_;\n  //  std::unordered_map<uint32_t, DescriptorSetLayout*>\n  //      descriptor_set_layout_binding_state_;\n  RenderPassBinding current_render_pass_;\n\n  std::vector<uint8_t> stored_push_constants_;\n  uint32_t max_push_constants_size_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/CommandPool.h",
    "content": "#pragma once\n\n#include \"CommandBuffer.h\"\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass Device;\nclass RenderFrame;\n\nclass CommandPool {\n public:\n  CommandPool(Device& device, uint32_t queue_family_index,\n              RenderFrame* render_frame = nullptr);\n  ~CommandPool();\n  VkCommandPool GetHandle() const { return handle_; }\n  Device& GetDevice() { return device_; }\n  void ResetPool();\n  CommandBuffer& RequestCommandBuffer();\n  RenderFrame* GetRenderFrame() const { return render_frame_; }\n\n private:\n  void ResetCommandBuffers();\n\n  Device& device_;\n  RenderFrame* render_frame_{nullptr};\n  VkCommandPool handle_;\n  uint32_t active_command_buffer_count_;\n  std::vector<std::unique_ptr<CommandBuffer>> command_buffers_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/DeferredLightingSubpass.h",
    "content": "#pragma once\n\n#include \"Subpass.h\"\n#include \"vkoo/core/ShaderModule.h\"\n#include \"vkoo/st/Scene.h\"\n#include \"vkoo/st/ShaderProgram.h\"\n\n#define MAX_DEFERRED_LIGHT_COUNT 32\n\nnamespace vkoo {\nclass DeferredLightingSubpass : public Subpass {\n public:\n  DeferredLightingSubpass(RenderContext& render_context,\n                          const st::ShaderProgram& shader_program,\n                          st::Scene& scene, const core::Sampler& sampler,\n                          uint32_t depth_attachment_id,\n                          uint32_t albedo_attachment_id,\n                          uint32_t normal_attachment_id);\n  virtual void Prepare() override;\n  virtual void Draw(CommandBuffer& command_buffer) override;\n  void SetSSAOAttachment(uint32_t ssao_attachment_id);\n\n private:\n  struct alignas(16) CameraUniform {\n    glm::mat4 clip_to_world_mat;\n    glm::vec2 inv_resolution;\n  };\n\n  struct alignas(16) DeferredLights {\n    Light directional_lights[MAX_DEFERRED_LIGHT_COUNT];\n    Light point_lights[MAX_DEFERRED_LIGHT_COUNT];\n    uint32_t directional_light_count;\n    uint32_t point_light_count;\n  };\n\n  struct alignas(16) SSAOFlags {\n    glm::mat4 __placeholder;\n    uint32_t use_ssao;\n    uint32_t ssao_only;\n  };\n\n  const core::Sampler& sampler_;\n  uint32_t depth_attachment_id_;\n  uint32_t albedo_attachment_id_;\n  uint32_t normal_attachment_id_;\n  uint32_t ssao_attachment_id_;\n  bool ssao_enabled_{false};\n  ShaderVariant shader_variant_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/DescriptorPool.h",
    "content": "#pragma once\n\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass Device;\nclass DescriptorSetLayout;\n\nclass DescriptorPool {\n public:\n  static const uint32_t MAX_SETS_PER_POOL = 16;\n\n  DescriptorPool(Device& device,\n                 const DescriptorSetLayout& descriptor_set_layout,\n                 uint32_t pool_size = MAX_SETS_PER_POOL);\n\n  ~DescriptorPool();\n\n  void Reset();\n  VkDescriptorSet Allocate();\n  void Free(VkDescriptorSet descriptor_set);\n\n  const DescriptorSetLayout& GetDescriptorSetLayout() const {\n    return descriptor_set_layout_;\n  }\n\n private:\n  uint32_t FindAvailablePool(uint32_t search_index);\n\n  Device& device_;\n  const DescriptorSetLayout& descriptor_set_layout_;\n  std::vector<VkDescriptorPoolSize> pool_sizes_;\n  uint32_t pool_max_sets_;\n  std::vector<VkDescriptorPool> pools_;\n  std::vector<uint32_t> pool_sets_count_;\n  uint32_t pool_index_;\n  std::unordered_map<VkDescriptorSet, uint32_t> set_pool_mapping_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/DescriptorSet.h",
    "content": "#pragma once\n\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass Device;\nclass DescriptorSetLayout;\nclass DescriptorPool;\n\nclass DescriptorSet {\n public:\n  DescriptorSet(Device& device, DescriptorSetLayout& descriptor_set_layout,\n                DescriptorPool& descriptor_pool,\n                const BindingMap<VkDescriptorBufferInfo>& buffer_infos = {},\n                const BindingMap<VkDescriptorImageInfo>& image_infos = {});\n  DescriptorSet(DescriptorSet&& other);\n  ~DescriptorSet() = default;\n\n  void Update();\n  VkDescriptorSet GetHandle() const { return handle_; }\n\n private:\n  void Prepare();\n\n  Device& device_;\n  DescriptorSetLayout& descriptor_set_layout_;\n  DescriptorPool& descriptor_pool_;\n  BindingMap<VkDescriptorBufferInfo> buffer_infos_;\n  BindingMap<VkDescriptorImageInfo> image_infos_;\n\n  VkDescriptorSet handle_;\n  std::vector<VkWriteDescriptorSet> write_descriptor_sets_;\n\n  // Map binding number to a hash of the binding description, to prevent\n  // duplicate calls to vkUpdateDescriptorSets.\n  std::unordered_map<uint32_t, size_t> updated_bindings_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/DescriptorSetLayout.h",
    "content": "#pragma once\n\n#include \"vkoo/common.h\"\n#include <optional>\n\nnamespace vkoo {\nclass Device;\nstruct ShaderResource;\nclass ShaderModule;\n\nclass DescriptorSetLayout {\n public:\n  DescriptorSetLayout(Device& device,\n                      const std::vector<ShaderModule*>& shader_modules,\n                      uint32_t set_index,\n                      const std::vector<ShaderResource>& resource_set);\n  DescriptorSetLayout(DescriptorSetLayout&& other);\n  ~DescriptorSetLayout();\n\n  VkDescriptorSetLayout GetHandle() const { return handle_; }\n\n  std::optional<VkDescriptorSetLayoutBinding> GetLayoutBinding(\n      uint32_t binding_index) const;\n\n  std::optional<VkDescriptorSetLayoutBinding> GetLayoutBinding(\n      const std::string& name) const;\n\n  const std::vector<VkDescriptorSetLayoutBinding> GetBindings() const {\n    return bindings_;\n  }\n\n  uint32_t GetSetIndex() const { return set_index_; }\n\n private:\n  Device& device_;\n  VkDescriptorSetLayout handle_;\n  uint32_t set_index_;\n  std::vector<ShaderModule*> shader_modules_;\n  std::vector<VkDescriptorSetLayoutBinding> bindings_;\n  std::vector<VkDescriptorBindingFlagsEXT> binding_flags_;\n\n  std::unordered_map<uint32_t, VkDescriptorSetLayoutBinding>\n      binding_id_to_layout_dict_;\n  std::unordered_map<std::string, uint32_t> name_to_binding_id_dict_;\n};\n}  // namespace vkoo"
  },
  {
    "path": "vkoo/include/vkoo/core/Device.h",
    "content": "#pragma once\n\n#include \"CommandPool.h\"\n#include \"FencePool.h\"\n#include \"PhysicalDevice.h\"\n#include \"Queue.h\"\n#include \"ResourceCache.h\"\n\nnamespace vkoo {\n\nclass Device {\n public:\n  Device(const PhysicalDevice& gpu, VkSurfaceKHR surface,\n         const std::vector<const char*>& required_extensions);\n\n  ~Device();\n\n  VkDevice GetHandle() const { return handle_; }\n  const PhysicalDevice& GetGPU() const { return gpu_; }\n  const Queue& GetSuitableGraphicsQueue() const;\n  ResourceCache& GetResourceCache() { return resource_cache_; }\n  const Queue& GetQueueByFlags(VkQueueFlags required_queue_flags,\n                               uint32_t queue_index);\n  CommandBuffer& RequestCommandBuffer();\n\n  const std::unordered_map<VkBufferUsageFlags, uint32_t> kSupportedUsageMap = {\n      {VK_BUFFER_USAGE_UNIFORM_BUFFER_BIT, 1}};\n\n  VkFence RequestFence();\n  CommandPool& GetCommandPool() { return *command_pool_; }\n  FencePool& GetFencePool() { return *fence_pool_; }\n\n  void WaitIdle();\n\n private:\n  const PhysicalDevice& gpu_;\n  VkDevice handle_;\n  std::vector<std::vector<Queue>> queue_families_;\n\n  ResourceCache resource_cache_;\n\n  std::unique_ptr<CommandPool> command_pool_;\n  std::unique_ptr<FencePool> fence_pool_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/FencePool.h",
    "content": "#pragma once\n\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass Device;\n\nclass FencePool {\n public:\n  FencePool(Device& device);\n\n  ~FencePool();\n\n  VkFence RequestFence();\n\n  void Wait(uint32_t timeout = std::numeric_limits<uint32_t>::max()) const;\n\n  void Reset();\n\n private:\n  Device& device_;\n\n  std::vector<VkFence> fences_;\n\n  uint32_t active_fence_count_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/ForwardSubpass.h",
    "content": "#pragma once\n\n#include \"GeometrySubpass.h\"\n#include \"vkoo/core/Buffer.h\"\n\n#define MAX_FORWARD_LIGHT_COUNT 32\n\nnamespace vkoo {\nclass ForwardSubpass : public GeometrySubpass {\n public:\n  ForwardSubpass(RenderContext& render_context,\n                 const st::ShaderProgram& shader_program, st::Scene& scene,\n                 TransparencyMode transparency_mode);\n\n  void Prepare() override;\n  void Draw(CommandBuffer& command_buffer) override;\n\n private:\n  struct alignas(16) ForwardLights {\n    Light directional_lights[MAX_FORWARD_LIGHT_COUNT];\n    Light point_lights[MAX_FORWARD_LIGHT_COUNT];\n    uint32_t directional_light_count;\n    uint32_t point_light_count;\n  };\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/Framebuffer.h",
    "content": "#pragma once\n\n#include \"RenderPass.h\"\n#include \"RenderTarget.h\"\n\nnamespace vkoo {\nclass Device;\n\nclass Framebuffer {\n public:\n  Framebuffer(Device& device, const VkExtent2D& extent,\n              const std::vector<VkImageView>& attachments,\n              const RenderPass& render_pass);\n\n  Framebuffer(Framebuffer&& other);\n\n  ~Framebuffer();\n\n  VkFramebuffer GetHandle() const { return handle_; }\n  const VkExtent2D& GetExtent() const { return extent_; }\n\n private:\n  Device& device_;\n  VkFramebuffer handle_{VK_NULL_HANDLE};\n  VkExtent2D extent_{};\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/GLSLCompiler.h",
    "content": "#pragma once\n\n#include <glslang/Public/ShaderLang.h>\n\n#include \"ShaderModule.h\"\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass GLSLCompiler {\n public:\n  static bool CompileToSPIRV(VkShaderStageFlagBits stage,\n                             const std::vector<uint8_t>& glsl_source,\n                             const std::string& entry_point,\n                             const ShaderVariant& shader_variant,\n                             std::vector<std::uint32_t>& spirv,\n                             std::string& info_log);\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/GeometrySubpass.h",
    "content": "#pragma once\n\n#include \"Subpass.h\"\n#include \"vkoo/st/Scene.h\"\n#include \"vkoo/st/components/Mesh.h\"\n\nnamespace vkoo {\nenum class TransparencyMode { SolidOnly, TransparentOnly, SolidAndTransparent };\n\nclass GeometrySubpass : public Subpass {\n public:\n  GeometrySubpass(RenderContext& render_context,\n                  const st::ShaderProgram& shader_program, st::Scene& scene,\n                  TransparencyMode blending_mode);\n  virtual ~GeometrySubpass() = default;\n  virtual void Prepare() override;\n  virtual void Draw(CommandBuffer& command_buffer) override;\n\n protected:\n  // No alignas since this is used for push constant.\n  struct MaterialUniform {\n    glm::vec4 diffuse_color;\n    uint32_t has_texture;\n  };\n\n  struct alignas(16) GlobalUniform {\n    glm::mat4 model_mat;\n    glm::mat4 normal_mat;\n    glm::mat4 view_proj_mat;\n    glm::vec3 camera_position;\n  };\n\n  void UpdateUniform(CommandBuffer& command_buffer, st::Node& node);\n  void DrawSubmesh(CommandBuffer& command_buffer, st::Mesh& mesh);\n  void DrawSubmeshCommand(CommandBuffer& command_buffer, st::Mesh& mesh);\n  void PreparePipelineState(CommandBuffer& command_buffer, st::Mesh& mesh);\n  PipelineLayout& GetPipelineLayout(\n      CommandBuffer& command_buffer,\n      const std::vector<ShaderModule*>& shader_modules);\n\n  TransparencyMode transparency_mode_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/GraphicsPipeline.h",
    "content": "#pragma once\n\n#include \"PipelineState.h\"\n\nnamespace vkoo {\nclass GraphicsPipeline {\n public:\n  GraphicsPipeline(Device& device, PipelineState& pipeline_state);\n  ~GraphicsPipeline();\n  GraphicsPipeline(GraphicsPipeline&& other);\n\n  VkPipeline GetHandle() const { return handle_; }\n\n private:\n  Device& device_;\n  VkPipeline handle_;\n  PipelineState state_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/Gui.h",
    "content": "#pragma once\n\n#include <imgui.h>\n\n#include \"Buffer.h\"\n#include \"CommandBuffer.h\"\n#include \"Image.h\"\n#include \"ImageView.h\"\n#include \"InputEvent.h\"\n#include \"RenderFrame.h\"\n#include \"Sampler.h\"\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass Application;\nstruct Font {\n public:\n  Font(const std::string& name, float size);\n\n private:\n  ImFont* handle_{nullptr};\n  std::string name_;\n  std::vector<uint8_t> data_;\n};\n\nclass Gui {\n public:\n  Gui(Application& application, float font_size);\n  ~Gui();\n  void Resize(uint32_t width, uint32_t height);\n  void Draw(CommandBuffer& command_buffer);\n  void NewFrame();\n  void Update(float delta_time);\n  bool HandleInputEvent(const InputEvent& event);\n  void HandleCharCallback(unsigned int codepoint);\n\n private:\n  void PrepareFont();\n  void UpdateBuffers(CommandBuffer& command_buffer, RenderFrame& render_frame);\n\n  Application& application_;\n\n  std::vector<Font> fonts_;\n  float font_size_;\n\n  std::unique_ptr<core::Image> font_image_;\n  std::unique_ptr<core::ImageView> font_image_view_;\n  std::unique_ptr<core::Sampler> sampler_;\n\n  PipelineLayout* pipeline_layout_;\n\n  float content_scale_factor_;\n  float dpi_factor_;\n\n  const std::string kDefaultFont = \"NunitoSans-Regular\";\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/Image.h",
    "content": "#pragma once\n\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass Device;\n\nnamespace core {\nclass Image {\n public:\n  Image(Device& device, VkImage handle, VkExtent2D extent, VkFormat format,\n        VkImageUsageFlags usage);\n  Image(Device& device, const VkExtent2D& extent, VkFormat format,\n        VkImageUsageFlags usage, VkMemoryPropertyFlags properties,\n        VkSampleCountFlagBits sample_count = VK_SAMPLE_COUNT_1_BIT,\n        VkImageTiling tiling = VK_IMAGE_TILING_OPTIMAL,\n        VkImageCreateFlags flags = 0);\n  Image(Image&& other) noexcept;\n  ~Image();\n\n  Device& GetDevice() { return device_; }\n  const VkExtent2D& GetExtent() { return extent_; }\n  VkImage GetHandle() const { return handle_; }\n  VkFormat GetFormat() const { return format_; }\n  VkImageUsageFlags GetUsage() const { return usage_; }\n  VkSampleCountFlagBits GetSampleCount() const { return sample_count_; };\n  VkDeviceMemory GetMemory() const { return memory_; }\n\n private:\n  Device& device_;\n  VkImage handle_{VK_NULL_HANDLE};\n  VkExtent2D extent_;\n  VkFormat format_{VK_FORMAT_UNDEFINED};\n  VkImageUsageFlags usage_;\n  VkImageTiling tiling_{VK_IMAGE_TILING_OPTIMAL};\n  VkSampleCountFlagBits sample_count_{VK_SAMPLE_COUNT_1_BIT};\n  VkImageSubresource subresource_{};\n\n  VkDeviceMemory memory_{VK_NULL_HANDLE};\n};\n}  // namespace core\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/ImageView.h",
    "content": "#pragma once\n\n#include \"Image.h\"\n\nnamespace vkoo {\nnamespace core {\nclass ImageView {\n public:\n  ImageView(Image& image, VkImageViewType view_type);\n  ImageView(ImageView&& other);\n  ~ImageView();\n\n  VkImageView GetHandle() const { return handle_; }\n  VkImageSubresourceRange GetSubresourceRange() const {\n    return subresource_range_;\n  }\n  VkFormat GetFormat() const { return format_; }\n  const Image& GetImage() const { return image_; }\n  VkImageSubresourceLayers GetSubresourceLayers() const;\n\n private:\n  Device& device_;\n  Image& image_;\n  VkImageView handle_;\n  VkFormat format_;\n  VkImageSubresourceRange subresource_range_;\n};\n}  // namespace core\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/InputEvent.h",
    "content": "#pragma once\n\nnamespace vkoo {\n\nenum class EventSource { Keyboard, Mouse, Scroll };\n\nclass InputEvent {\n public:\n  InputEvent(EventSource source);\n  EventSource GetSource() const { return source_; }\n\n private:\n  EventSource source_;\n};\n\nenum class KeyAction { Down, Up, Repeat, Unknown };\n\nclass KeyInputEvent : public InputEvent {\n public:\n  KeyInputEvent(int code, KeyAction action);\n  int GetCode() const { return code_; }\n  KeyAction GetAction() const { return action_; }\n\n private:\n  int code_;\n  KeyAction action_;\n};\n\nenum class MouseButton { Left, Right, Middle, Unknown };\nenum class MouseAction { Down, Up, Move, Unknown };\n\nclass MouseButtonInputEvent : public InputEvent {\n public:\n  MouseButtonInputEvent(MouseButton button, MouseAction action, float x_pos,\n                        float y_pos);\n  MouseButton GetButton() const { return button_; }\n  MouseAction GetAction() const { return action_; }\n  float GetXPos() const { return x_pos_; }\n  float GetYPos() const { return y_pos_; }\n\n private:\n  MouseButton button_;\n  MouseAction action_;\n  float x_pos_;\n  float y_pos_;\n};\n\nclass ScrollInputEvent : public InputEvent {\n public:\n  ScrollInputEvent(double x_offset, double y_offset);\n  double GetXOffset() const { return x_offset_; }\n  double GetYOffset() const { return y_offset_; }\n\n private:\n  double x_offset_;\n  double y_offset_;\n};\n\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/Instance.h",
    "content": "#pragma once\n\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass PhysicalDevice;\n\nclass Instance {\n public:\n  Instance(const std::string& application_name,\n           const std::vector<const char*>& extensions,\n           bool enable_validation_layer);\n\n  ~Instance();\n\n  VkInstance GetHandle() const { return handle_; }\n  PhysicalDevice& GetSuitableGPU();\n\n private:\n  bool CheckValidationLayerSupport();\n  void PopulateDebugMessengerCreateInfo(\n      VkDebugUtilsMessengerCreateInfoEXT& create_info);\n  void QueryGPUs();\n\n  VkInstance handle_;\n\n  bool enable_validation_layer_;\n  std::vector<const char*> enabled_extensions_;\n  const char* kValidationLayerName = \"VK_LAYER_KHRONOS_validation\";\n  VkDebugUtilsMessengerEXT debug_messenger_;\n  std::vector<std::unique_ptr<PhysicalDevice>> gpus_;\n};\n}  // namespace vkoo"
  },
  {
    "path": "vkoo/include/vkoo/core/PhysicalDevice.h",
    "content": "#pragma once\n\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass Instance;\n\nclass PhysicalDevice {\n public:\n  PhysicalDevice(Instance& instance, VkPhysicalDevice physical_device);\n\n  VkPhysicalDevice GetHandle() const { return handle_; }\n  VkPhysicalDeviceProperties GetProperties() const { return properties_; }\n  const std::vector<VkQueueFamilyProperties>& GetQueueFamilyProperties() const {\n    return queue_family_properties_;\n  }\n  VkBool32 IsPresentSupported(VkSurfaceKHR surface,\n                              uint32_t queue_family_index) const;\n\n private:\n  [[maybe_unused]] Instance& instance_;\n  VkPhysicalDevice handle_;\n  VkPhysicalDeviceFeatures features_;\n  VkPhysicalDeviceProperties properties_;\n  VkPhysicalDeviceMemoryProperties memory_properties_;\n  std::vector<VkQueueFamilyProperties> queue_family_properties_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/PipelineLayout.h",
    "content": "#pragma once\n\n#include \"DescriptorSetLayout.h\"\n#include \"ShaderModule.h\"\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass Device;\nclass PipelineLayout {\n public:\n  PipelineLayout(Device& device,\n                 const std::vector<ShaderModule*>& shader_modules);\n  PipelineLayout(PipelineLayout&& other);\n  ~PipelineLayout();\n\n  std::vector<ShaderResource> GetResources(\n      ShaderResourceType type = ShaderResourceType::All,\n      VkShaderStageFlagBits stage = VK_SHADER_STAGE_ALL) const;\n\n  const std::vector<ShaderModule*>& GetShaderModules() const;\n  VkPipelineLayout GetHandle() const { return handle_; }\n\n  DescriptorSetLayout& GetDescriptorSetLayout(uint32_t set_index) const;\n  bool HasDescriptorSetLayout(uint32_t set_index) const;\n  VkShaderStageFlags GetPushConstantRangeStage(uint32_t size,\n                                               uint32_t offset = 0) const;\n\n private:\n  Device& device_;\n  VkPipelineLayout handle_;\n  std::vector<ShaderModule*> shader_modules_;\n\n  std::unordered_map<std::string, ShaderResource> name_to_resource_dict_;\n  std::unordered_map<uint32_t, std::vector<ShaderResource>> shader_sets_;\n  std::vector<DescriptorSetLayout*> descriptor_set_layouts_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/PipelineState.h",
    "content": "#pragma once\n\n#include \"PipelineLayout.h\"\n#include \"RenderPass.h\"\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nstruct VertexInputState {\n  std::vector<VkVertexInputBindingDescription> bindings;\n  std::vector<VkVertexInputAttributeDescription> attributes;\n};\n\nstruct InputAssemblyState {\n  VkPrimitiveTopology topology{VK_PRIMITIVE_TOPOLOGY_TRIANGLE_LIST};\n  VkBool32 primitive_restart_enable{VK_FALSE};\n};\n\nstruct RasterizationState {\n  VkBool32 depth_clamp_enable{VK_FALSE};\n  VkBool32 rasterizer_discard_enable{VK_FALSE};\n  VkPolygonMode polygon_mode{VK_POLYGON_MODE_FILL};\n  VkCullModeFlags cull_mode{VK_CULL_MODE_BACK_BIT};\n  VkFrontFace front_face{VK_FRONT_FACE_COUNTER_CLOCKWISE};\n  VkBool32 depth_bias_enable{VK_FALSE};\n  float line_width{1.0f};\n};\n\nstruct MultisampleState {\n  VkSampleCountFlagBits rasterization_samples{VK_SAMPLE_COUNT_1_BIT};\n  VkBool32 sample_shading_enable{VK_FALSE};\n  float min_sample_shading{0.0f};\n};\n\nstruct ViewportState {\n  uint32_t viewport_count{1};\n  uint32_t scissor_count{1};\n};\n\nstruct StencilOpState {\n  VkStencilOp fail_op{VK_STENCIL_OP_REPLACE};\n  VkStencilOp pass_op{VK_STENCIL_OP_REPLACE};\n  VkStencilOp depth_fail_op{VK_STENCIL_OP_REPLACE};\n  VkCompareOp compare_op{VK_COMPARE_OP_NEVER};\n};\n\nstruct DepthStencilState {\n  VkBool32 depth_test_enable{VK_TRUE};\n  VkBool32 depth_write_enable{VK_TRUE};\n\n  VkCompareOp depth_compare_op{VK_COMPARE_OP_LESS};\n  VkBool32 depth_bounds_test_enable{VK_FALSE};\n  VkBool32 stencil_test_enable{VK_FALSE};\n  StencilOpState front{};\n  StencilOpState back{};\n};\n\nstruct ColorBlendAttachmentState {\n  VkBool32 blend_enable{VK_FALSE};\n  VkBlendFactor src_color_blend_factor{VK_BLEND_FACTOR_ONE};\n  VkBlendFactor dst_color_blend_factor{VK_BLEND_FACTOR_ZERO};\n  VkBlendOp color_blend_op{VK_BLEND_OP_ADD};\n  VkBlendFactor src_alpha_blend_factor{VK_BLEND_FACTOR_ONE};\n  VkBlendFactor dst_alpha_blend_factor{VK_BLEND_FACTOR_ZERO};\n  VkBlendOp alpha_blend_op{VK_BLEND_OP_ADD};\n  VkColorComponentFlags color_write_mask{\n      VK_COLOR_COMPONENT_R_BIT | VK_COLOR_COMPONENT_G_BIT |\n      VK_COLOR_COMPONENT_B_BIT | VK_COLOR_COMPONENT_A_BIT};\n};\n\nstruct ColorBlendState {\n  VkBool32 logic_op_enable{VK_FALSE};\n  VkLogicOp logic_op{VK_LOGIC_OP_CLEAR};\n  std::vector<ColorBlendAttachmentState> attachments;\n};\n\nclass PipelineState {\n public:\n  PipelineState() = default;\n  void Reset();\n\n  PipelineLayout* GetPipelineLayout() const;\n  void SetPipelineLayout(PipelineLayout* pipeline_layout);\n  const RenderPass* GetRenderPass() const;\n  void SetRenderPass(const RenderPass* render_pass);\n  const VertexInputState& GetVertexInputState() const;\n  void SetVertexInputState(const VertexInputState& vertex_input_state);\n  const InputAssemblyState& GetInputAssemblyState() const;\n  void SetInputAssemblyState(const InputAssemblyState& input_assembly_state);\n  const RasterizationState& GetRasterizationState() const;\n  void SetRasterizationState(const RasterizationState& rasterization_state);\n  const MultisampleState& GetMultisampleState() const;\n  void SetMultisampleState(const MultisampleState& multisample_state);\n  const ViewportState& GetViewportState() const;\n  void SetViewportState(const ViewportState& viewport_state);\n  const ColorBlendState& GetColorBlendState() const;\n  void SetColorBlendState(const ColorBlendState& color_blend_state);\n  uint32_t GetSubpassIndex() const;\n  void SetSubpassIndex(uint32_t subpass_index);\n\n  const DepthStencilState& GetDepthStencilState() const;\n  void SetDepthStencilState(const DepthStencilState& depth_stencil_state);\n\n private:\n  PipelineLayout* pipeline_layout_{nullptr};\n  const RenderPass* render_pass_{nullptr};\n\n  VertexInputState vertex_input_state_{};\n  InputAssemblyState input_assembly_state_{};\n  RasterizationState rasterization_state_{};\n  MultisampleState multisample_state_{};\n  ViewportState viewport_state_{};\n  DepthStencilState depth_stencil_state_{};\n  ColorBlendState color_blend_state_{};\n  uint32_t subpass_index{0};\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/PostprocessingSubpass.h",
    "content": "#pragma once\n\n#include \"Subpass.h\"\n#include \"vkoo/st/Image.h\"\n#include \"vkoo/st/Scene.h\"\n#include \"vkoo/st/ShaderProgram.h\"\n\nnamespace vkoo {\nclass PostprocessingSubpass : public Subpass {\n public:\n  PostprocessingSubpass(RenderContext& render_context,\n                        const st::ShaderProgram& shader_program,\n                        st::Scene& scene, uint32_t input_detachment_id);\n  void Prepare() override;\n  void Draw(CommandBuffer& command_buffer) override;\n\n private:\n  std::unique_ptr<core::Sampler> input_sampler_;\n  uint32_t input_attachment_id_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/PrimitiveFactory.h",
    "content": "#pragma once\n\n#include \"VertexObject.h\"\n\nnamespace vkoo {\nclass PrimitiveFactory {\n public:\n  // Create a radius-r sphere with prescribed vertical/horizontal numbers\n  // of slices/stacks.\n  static std::unique_ptr<VertexObject> CreateSphere(Device& device, float r,\n                                                    size_t slices,\n                                                    size_t stacks);\n\n  // Create a cylinder with prescribed radius, height, and number of sides.\n  static std::unique_ptr<VertexObject> CreateCylinder(Device& device, float r,\n                                                      float h,\n                                                      size_t num_sides);\n\n  // Create a standard cube with corners at -1 or 1.\n  static std::unique_ptr<VertexObject> CreateCube(Device& device);\n\n  // Create a flat quad with corners at -1 or 1 in both x and y\n  // coordinates.\n  static std::unique_ptr<VertexObject> CreateQuad(Device& device);\n\n  // Create a line segment between p and q.\n  static std::unique_ptr<VertexObject> CreateLineSegment(Device& device,\n                                                         const glm::vec3& p,\n                                                         const glm::vec3& q);\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/Queue.h",
    "content": "#pragma once\n\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass Device;\nclass CommandBuffer;\n\nclass Queue {\n public:\n  Queue(Device& device, uint32_t family_index, uint32_t index,\n        VkQueueFamilyProperties properties, VkBool32 present_supported);\n\n  VkBool32 IsPresentSupported() const { return present_supported_; }\n  uint32_t GetFamilyIndex() const { return family_index_; }\n  VkResult Submit(const std::vector<VkSubmitInfo>& submit_infos,\n                  VkFence fence) const;\n  VkResult Submit(const CommandBuffer& command_buffer, VkFence fence) const;\n  VkResult Present(const VkPresentInfoKHR& present_info) const;\n  const VkQueueFamilyProperties& GetProperties() const { return properties_; }\n\n private:\n  [[maybe_unused]] Device& device_;\n  VkQueue handle_;\n  uint32_t family_index_;\n  [[maybe_unused]] uint32_t index_;\n  VkBool32 present_supported_;\n  VkQueueFamilyProperties properties_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/RenderContext.h",
    "content": "#pragma once\n\n#include \"Device.h\"\n#include \"Queue.h\"\n#include \"RenderFrame.h\"\n#include \"Swapchain.h\"\n\nnamespace vkoo {\nclass RenderContext {\n public:\n  RenderContext(Device& device, VkSurfaceKHR surface, uint32_t window_width,\n                uint32_t window_height);\n\n  void Prepare(\n      RenderTarget::CreateFunc create_func = RenderTarget::kDefaultCreateFunc);\n  CommandBuffer& Begin();\n  VkSemaphore BeginFrame();\n  RenderFrame& GetActiveFrame();\n  void Submit(CommandBuffer& command_buffer);\n  void Submit(const std::vector<CommandBuffer*>& command_buffers);\n  VkSemaphore Submit(const Queue& queue,\n                     const std::vector<CommandBuffer*>& command_buffers,\n                     VkSemaphore wait_semaphore,\n                     VkPipelineStageFlags wait_pipeline_stage);\n  void EndFrame(VkSemaphore render_semaphore);\n  Device& GetDevice() { return device_; }\n  const VkExtent2D& GetSurfaceExtent() const { return surface_extent_; }\n  void UpdateSwapchain();\n  VkImage GetLastActiveSwapchainImage() const;\n  Swapchain& GetSwapchain() { return *swapchain_; }\n\n private:\n  void HandleWindowResize();\n  void Recreate();\n  void RecreateSwapchain(const VkExtent2D& extent);\n\n  Device& device_;\n  std::unique_ptr<Swapchain> swapchain_;\n  const Queue& queue_;\n  VkExtent2D surface_extent_;\n  std::vector<std::unique_ptr<RenderFrame>> frames_;\n\n  bool prepared_;\n  bool is_frame_active_;\n  uint32_t active_frame_index_;\n\n  VkSemaphore acquired_semaphore_;  // TODO: is it right to put this here?\n\n  RenderTarget::CreateFunc create_render_target_func_{\n      RenderTarget::kDefaultCreateFunc};\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/RenderFrame.h",
    "content": "#pragma once\n\n#include \"BufferPool.h\"\n#include \"CommandPool.h\"\n#include \"DescriptorPool.h\"\n#include \"DescriptorSet.h\"\n#include \"Device.h\"\n#include \"FencePool.h\"\n#include \"Queue.h\"\n#include \"RenderTarget.h\"\n#include \"SemaphorePool.h\"\n\nnamespace vkoo {\nclass RenderFrame {\n public:\n  RenderFrame(Device& device, std::unique_ptr<RenderTarget>&& render_target);\n\n  const std::unordered_map<VkBufferUsageFlags, uint32_t> kSupportedUsageMap = {\n      {VK_BUFFER_USAGE_UNIFORM_BUFFER_BIT, 1},\n      {VK_BUFFER_USAGE_VERTEX_BUFFER_BIT, 1},\n      {VK_BUFFER_USAGE_INDEX_BUFFER_BIT, 1}};\n\n  DescriptorSet& RequestDescriptorSet(\n      DescriptorSetLayout& descriptor_set_layout,\n      const BindingMap<VkDescriptorBufferInfo>& buffer_infos,\n      const BindingMap<VkDescriptorImageInfo>& image_infos);\n  CommandBuffer& RequestCommandBuffer(const Queue& queue);\n  core::Buffer& AllocateBuffer(VkBufferUsageFlags usage, VkDeviceSize size);\n  VkSemaphore RequestSemaphore();\n  VkFence RequestFence();\n  void UpdateRenderTarget(std::unique_ptr<RenderTarget>&& render_target);\n\n  void Reset();\n  void ClearDescriptors();\n  RenderTarget& GetRenderTarget() { return *render_target_; }\n\n private:\n  Device& device_;\n  std::unique_ptr<RenderTarget> render_target_;\n\n  // One command pool per queue family.\n  std::map<uint32_t, std::unique_ptr<CommandPool>> command_pool_dict_;\n  FencePool fence_pool_;\n  SemaphorePool semaphore_pool_;\n  std::map<VkBufferUsageFlags, BufferPool> buffer_pool_dict_;\n  std::unordered_map<size_t, DescriptorPool> descriptor_pool_;\n  std::unordered_map<size_t, DescriptorSet> descriptor_sets_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/RenderPass.h",
    "content": "#pragma once\n\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass Device;\nstruct Attachment;\n\nstruct SubpassInfo {\n  std::vector<uint32_t> input_attachments;\n  std::vector<uint32_t> output_attachments;\n  std::vector<uint32_t> color_resolve_attachments;\n  bool disable_depth_stencil_attachment;\n  uint32_t depth_stencil_resolve_attachment;\n  VkResolveModeFlagBits depth_stencil_resolve_mode;\n};\n\nclass RenderPass {\n public:\n  RenderPass(\n      Device& device,\n      const std::vector<VkAttachmentDescription2KHR>& attachment_descriptions,\n      const std::vector<SubpassInfo>& subpasses,\n      const std::vector<VkSubpassDependency2KHR>& dependencies);\n  RenderPass(RenderPass&& other);\n  ~RenderPass();\n\n  VkRenderPass GetHandle() const { return handle_; }\n  uint32_t GetColorOutputCount(uint32_t subpass_index) const {\n    return color_output_count_.at(subpass_index);\n  }\n\n private:\n  Device& device_;\n  VkRenderPass handle_;\n  size_t subpass_count_;\n  std::vector<uint32_t> color_output_count_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/RenderPipeline.h",
    "content": "#pragma once\n\n#include \"CommandBuffer.h\"\n#include \"RenderTarget.h\"\n#include \"Subpass.h\"\n\nnamespace vkoo {\nclass RenderPipeline {\n public:\n  RenderPipeline(std::vector<std::unique_ptr<Subpass>>&& subpasses = {});\n  virtual ~RenderPipeline() = default;\n  RenderPipeline(RenderPipeline&&) = default;\n\n  void Prepare();\n\n  void AddSubpass(std::unique_ptr<Subpass>&& subpass);\n\n  std::vector<std::unique_ptr<Subpass>>& GetSubpasses();\n\n  void Draw(\n      CommandBuffer& command_buffer, const VkExtent2D& extent,\n      const std::vector<VkImageView>& attachments,\n      const std::vector<VkAttachmentDescription2KHR>& attachment_descriptions,\n      const std::vector<VkSubpassDependency2KHR>& dependencies);\n\n  const std::vector<VkClearValue>& GetClearValue() const;\n  void SetClearValue(const std::vector<VkClearValue>& clear_value);\n\n private:\n  std::vector<std::unique_ptr<Subpass>> subpasses_;\n  std::vector<VkClearValue> clear_value_;\n  size_t active_subpass_index_{0};\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/RenderTarget.h",
    "content": "#pragma once\n\n#include \"Image.h\"\n#include \"ImageView.h\"\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass RenderTarget {\n public:\n  using CreateFunc =\n      std::function<std::unique_ptr<RenderTarget>(core::Image&&)>;\n  static const CreateFunc kDefaultCreateFunc;\n\n  RenderTarget(std::vector<core::Image>&& images);\n\n  const VkExtent2D& GetExtent() const { return extent_; }\n  const std::vector<core::ImageView>& GetViews() const { return views_; }\n\n private:\n  Device& device_;\n  VkExtent2D extent_;\n  std::vector<core::Image> images_;\n  std::vector<core::ImageView> views_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/ResourceBindingState.h",
    "content": "#pragma once\n\n#include \"Buffer.h\"\n#include \"ImageView.h\"\n#include \"Sampler.h\"\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nstruct ResourceInfo {\n  const core::Buffer* buffer{nullptr};\n  VkDeviceSize offset{0};\n  VkDeviceSize range{0};\n  const core::ImageView* image_view{nullptr};\n  const core::Sampler* sampler{nullptr};\n};\n\nclass ResourceSet {\n public:\n  void Reset();\n  void BindBuffer(const core::Buffer& buffer, VkDeviceSize offset,\n                  VkDeviceSize range, uint32_t binding, uint32_t array_element);\n\n  void BindInput(const core::ImageView& image_view, uint32_t binding,\n                 uint32_t array_element);\n  void BindImage(const core::ImageView& image_view,\n                 const core::Sampler& sampler, uint32_t binding,\n                 uint32_t array_element);\n  void BindImage(const core::ImageView& image_view, uint32_t binding,\n                 uint32_t array_element);\n\n  const BindingMap<ResourceInfo>& GetResourceBindings() const {\n    return resource_bindings_;\n  }\n\n private:\n  BindingMap<ResourceInfo> resource_bindings_;\n};\n\nclass ResourceBindingState {\n public:\n  void Reset();\n  void BindBuffer(const core::Buffer& buffer, VkDeviceSize offset,\n                  VkDeviceSize range, uint32_t set, uint32_t binding,\n                  uint32_t array_element);\n\n  void BindInput(const core::ImageView& image_view, uint32_t set,\n                 uint32_t binding, uint32_t array_element);\n  void BindImage(const core::ImageView& image_view,\n                 const core::Sampler& sampler, uint32_t set, uint32_t binding,\n                 uint32_t array_element);\n\n  void BindImage(const core::ImageView& image_view, uint32_t set,\n                 uint32_t binding, uint32_t array_element);\n\n  const std::unordered_map<uint32_t, ResourceSet>& GetResourceSets() {\n    return resource_sets_;\n  }\n\n private:\n  std::unordered_map<uint32_t, ResourceSet> resource_sets_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/ResourceCache.h",
    "content": "#pragma once\n\n#include \"DescriptorSetLayout.h\"\n#include \"Framebuffer.h\"\n#include \"GraphicsPipeline.h\"\n#include \"RenderPass.h\"\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass Device;\n\nstruct ResourceCacheState {\n  std::unordered_map<size_t, RenderPass> render_passes;\n  std::unordered_map<size_t, DescriptorSetLayout> descriptor_set_layouts;\n  std::unordered_map<size_t, ShaderModule> shader_modules;\n  std::unordered_map<size_t, Framebuffer> framebuffers;\n  std::unordered_map<size_t, PipelineLayout> pipeline_layouts;\n  std::unordered_map<size_t, GraphicsPipeline> graphics_pipelines;\n};\n\nclass ResourceCache {\n public:\n  ResourceCache(Device& device);\n\n  DescriptorSetLayout& RequestDescriptorSetLayout(\n      const std::vector<ShaderModule*>& shader_modules, uint32_t set_index,\n      const std::vector<ShaderResource>& resource_set);\n\n  RenderPass& RequestRenderPass(\n      const std::vector<VkAttachmentDescription2KHR>& attachment_descriptions,\n      const std::vector<SubpassInfo>& subpasses,\n      const std::vector<VkSubpassDependency2KHR>& dependencies);\n  Framebuffer& RequestFramebuffer(const VkExtent2D& extent,\n                                  const std::vector<VkImageView>& attachments,\n                                  const RenderPass& render_pass);\n  GraphicsPipeline& RequestGraphicsPipeline(PipelineState& pipeline_state);\n  ShaderModule& RequestShaderModule(VkShaderStageFlagBits stage,\n                                    const ShaderSource& shader_source,\n                                    const ShaderVariant& shader_variant = {});\n  PipelineLayout& RequestPipelineLayout(\n      const std::vector<ShaderModule*>& shader_modules);\n\n  void ClearFramebuffers();\n  void Clear();\n\n private:\n  Device& device_;\n\n  ResourceCacheState state_;\n\n  std::mutex shader_module_mutex_;\n  std::mutex descriptor_set_layout_mutex_;\n  std::mutex render_pass_mutex_;\n  std::mutex framebuffer_mutex_;\n  std::mutex pipeline_layout_mutex_;\n  std::mutex graphics_pipeline_mutex_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/SPIRVReflection.h",
    "content": "#pragma once\n\n#include <spirv_glsl.hpp>\n\n#include <string>\n#include <unordered_map>\n\n#include \"ShaderModule.h\"\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass SPIRVReflection {\n public:\n  static bool ReflectShaderResources(VkShaderStageFlagBits stage,\n                                     const std::vector<uint32_t>& spirv,\n                                     std::vector<ShaderResource>& resources);\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/SSAOBlurSubpass.h",
    "content": "#pragma once\n\n#include \"Subpass.h\"\n#include \"vkoo/st/Image.h\"\n#include \"vkoo/st/Scene.h\"\n#include \"vkoo/st/ShaderProgram.h\"\n\nnamespace vkoo {\nclass SSAOBlurSubpass : public Subpass {\n public:\n  SSAOBlurSubpass(RenderContext& render_context,\n                  const st::ShaderProgram& shader_program, st::Scene& scene,\n                  uint32_t ssao_detachment_id);\n  void Prepare() override;\n  void Draw(CommandBuffer& command_buffer) override;\n\n private:\n  std::unique_ptr<core::Sampler> blur_sampler_;\n  uint32_t ssao_detachment_id_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/SSAOSubpass.h",
    "content": "#pragma once\n\n#include \"Subpass.h\"\n#include \"vkoo/st/Image.h\"\n#include \"vkoo/st/Scene.h\"\n#include \"vkoo/st/ShaderProgram.h\"\n\nnamespace vkoo {\nclass SSAOSubpass : public Subpass {\n public:\n  SSAOSubpass(RenderContext& render_context,\n              const st::ShaderProgram& shader_program, st::Scene& scene,\n              const core::Sampler& texture_sampler,\n              uint32_t depth_attachment_id, uint32_t normal_attachment_id);\n  void Prepare() override;\n  void Draw(CommandBuffer& command_buffer) override;\n\n private:\n  struct alignas(16) CameraUniform {\n    glm::mat4 world_to_clip_mat;\n    glm::mat4 clip_to_world_mat;\n  };\n\n  const size_t kSSAOKernelSize = 64;\n  [[maybe_unused]] const float kSSAORadius = 0.2f;\n  const size_t kSSAONoiseDim = 4;\n\n  std::unique_ptr<core::Buffer> ssao_kernel_buffer_;\n  std::unique_ptr<st::Image> ssao_noise_image_;\n  std::unique_ptr<core::Sampler> noise_sampler_;\n\n  const core::Sampler& texture_sampler_;\n  uint32_t depth_attachment_id_;\n  uint32_t normal_attachment_id_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/Sampler.h",
    "content": "#pragma once\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass Device;\n\nnamespace core {\nclass Sampler {\n public:\n  Sampler(Device& device, const VkSamplerCreateInfo& info);\n  Sampler(Sampler&& sampler);\n  ~Sampler();\n  VkSampler GetHandle() const { return handle_; }\n\n private:\n  Device& device_;\n  VkSampler handle_{VK_NULL_HANDLE};\n};\n}  // namespace core\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/SemaphorePool.h",
    "content": "#pragma once\n\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass Device;\n\nclass SemaphorePool {\n public:\n  SemaphorePool(Device& device);\n\n  ~SemaphorePool();\n\n  VkSemaphore RequestSemaphore();\n\n  void Reset();\n\n private:\n  Device& device_;\n\n  std::vector<VkSemaphore> semaphores_;\n\n  uint32_t active_semaphore_count_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/ShaderModule.h",
    "content": "#pragma once\n\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass Device;\nenum class ShaderResourceType {\n  Input,\n  InputAttachment,\n  Output,\n  Image,\n  ImageSampler,\n  ImageStorage,\n  Sampler,\n  BufferUniform,\n  BufferStorage,\n  PushConstant,\n  SpecializationConstant,\n  All\n};\n\nenum class ShaderResourceMode { Static, Dynamic, UpdateAfterBind };\n\nstruct ShaderResourceQualifiers {\n  enum : uint32_t {\n    None = 0,\n    NonReadable = 1,\n    NonWritable = 2,\n  };\n};\n\nstruct ShaderResource {\n  VkShaderStageFlags stages;\n  ShaderResourceType type;\n  ShaderResourceMode mode;\n  uint32_t set;\n  uint32_t binding;\n  uint32_t location;\n  uint32_t input_attachment_index;\n  uint32_t vec_size;\n  uint32_t columns;\n  uint32_t array_size;\n  uint32_t offset;\n  uint32_t size;\n  uint32_t constant_id;\n  uint32_t qualifiers;\n  std::string name;\n};\n\nstruct ShaderSource {\n  std::string glsl_file;\n  std::string entry_point;\n};\n\nclass ShaderVariant {\n public:\n  ShaderVariant();\n  void AddDef(const std::string& def);\n  void AddUndef(const std::string& def);\n  const std::string& GetPreamble() const;\n  const std::vector<std::string>& GetProcesses() const;\n  size_t GetHashId() const;\n  void Clear();\n\n private:\n  void UpdateHashId();\n\n  std::string preamble_;\n  std::vector<std::string> processes_;\n  size_t hash_id_;\n};\n\nclass ShaderModule {\n public:\n  ShaderModule(Device& device, VkShaderStageFlagBits stage,\n               const ShaderSource& shader_source,\n               const ShaderVariant& shader_variant);\n  ShaderModule(ShaderModule&& other) = default;\n\n  const std::vector<ShaderResource>& GetResources() const { return resources_; }\n  VkShaderStageFlagBits GetStage() const;\n  const std::string& GetEntryPoint() const;\n  const std::vector<uint32_t>& GetBinary() const { return spirv_; }\n  size_t GetHashID() const { return hash_id_; }\n\n private:\n  [[maybe_unused]] Device& device_;\n  VkShaderStageFlagBits stage_;\n  std::string entry_point_;\n  std::vector<uint32_t> spirv_;\n  std::vector<ShaderResource> resources_;\n\n  size_t hash_id_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/Subpass.h",
    "content": "#pragma once\n\n#include \"CommandBuffer.h\"\n#include \"RenderContext.h\"\n#include \"ShaderModule.h\"\n#include \"vkoo/st/Node.h\"\n#include \"vkoo/st/Scene.h\"\n#include \"vkoo/st/ShaderProgram.h\"\n#include \"vkoo/st/Transform.h\"\n#include \"vkoo/st/components/Light.h\"\n\nnamespace vkoo {\nglm::mat4 VulkanStyleProjection(const glm::mat4& proj);\n\nstruct alignas(16) Light {\n  glm::vec4 position;   // position.w represents type of light\n  glm::vec4 color;      // color.w represents light intensity\n  glm::vec4 direction;  // direction.w represents range\n};\n\nclass Subpass {\n public:\n  Subpass(RenderContext& render_context,\n          const st::ShaderProgram& shader_program, st::Scene& scene);\n  virtual ~Subpass() = default;\n\n  virtual void Prepare() = 0;\n  virtual void Draw(CommandBuffer& command_buffer) = 0;\n\n  const std::vector<uint32_t> GetInputAttachments() const {\n    return input_attachments_;\n  }\n\n  const std::vector<uint32_t> GetOutputAttachments() const {\n    return output_attachments_;\n  }\n\n  const std::vector<uint32_t> GetColorResolveAttachments() const {\n    return color_resolve_attachments_;\n  }\n\n  uint32_t GetDepthStencilResolveAttachment() const {\n    return depth_stencil_resolve_attachment_;\n  }\n\n  VkResolveModeFlagBits GetDepthStencilResolveMode() const {\n    return depth_stencil_resolve_mode_;\n  }\n\n  void SetInputAttachments(const std::vector<uint32_t>& input_attachments) {\n    input_attachments_ = input_attachments;\n  }\n\n  void SetOutputAttachments(const std::vector<uint32_t>& output_attachments) {\n    output_attachments_ = output_attachments;\n  }\n\n  void SetColorResolveAttachments(\n      const std::vector<uint32_t>& color_resolve_attachments) {\n    color_resolve_attachments_ = color_resolve_attachments;\n  }\n\n  void SetDepthStencilResolveAttachment(\n      uint32_t depth_stencil_resolve_attachment) {\n    depth_stencil_resolve_attachment_ = depth_stencil_resolve_attachment;\n  }\n\n  void SetDepthStencilResolveMode(\n      VkResolveModeFlagBits depth_stencil_resolve_mode) {\n    depth_stencil_resolve_mode_ = depth_stencil_resolve_mode;\n  }\n\n  bool IsDisableDepthStencilAttachment() const {\n    return disable_depth_stencil_attachment_;\n  }\n\n  void SetDisableDepthStencilAttachment(bool disable_depth_stencil_attachment) {\n    disable_depth_stencil_attachment_ = disable_depth_stencil_attachment;\n  }\n\n  void SetSampleCount(VkSampleCountFlagBits sample_count) {\n    sample_count_ = sample_count;\n  }\n\n protected:\n  template <class T>\n  void AggregateLights(T& light_ubo,\n                       const std::vector<st::Light*>& scene_lights) {\n    light_ubo.directional_light_count = 0;\n    light_ubo.point_light_count = 0;\n    for (auto& scene_light : scene_lights) {\n      const auto& properties = scene_light->GetProperties();\n      const auto& transform = scene_light->GetNode()->GetTransform();\n\n      Light light{\n          {transform.GetWorldPosition(),\n           static_cast<float>(scene_light->GetLightType())},\n          {properties.color, properties.intensity},\n          {glm::vec3(transform.GetLocalToWorldMatrix() *\n                     glm::vec4(properties.direction, 0.0f)),\n           properties.range},\n      };\n      if (scene_light->GetLightType() == st::LightType::Directional) {\n        light_ubo.directional_lights[light_ubo.directional_light_count++] =\n            light;\n      } else if (scene_light->GetLightType() == st::LightType::Point) {\n        light_ubo.point_lights[light_ubo.point_light_count++] = light;\n      } else {\n        throw std::runtime_error(\"Unsupported light type.\");\n      }\n    }\n  }\n\n  RenderContext& render_context_;\n  st::ShaderProgram shader_program_;\n  st::Scene& scene_;\n\n  VkSampleCountFlagBits sample_count_{VK_SAMPLE_COUNT_1_BIT};\n\n  std::vector<uint32_t> input_attachments_ = {};\n  std::vector<uint32_t> output_attachments_ = {0};\n  std::vector<uint32_t> color_resolve_attachments_ = {};\n  uint32_t depth_stencil_resolve_attachment_{VK_ATTACHMENT_UNUSED};\n  VkResolveModeFlagBits depth_stencil_resolve_mode_{VK_RESOLVE_MODE_NONE};\n\n  bool disable_depth_stencil_attachment_{false};\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/Swapchain.h",
    "content": "#pragma once\n\n#include \"Device.h\"\n\nnamespace vkoo {\nstruct SwapchainProperties {\n  VkSwapchainKHR old_swapchain{VK_NULL_HANDLE};\n  uint32_t image_count;\n  VkExtent2D extent;\n  VkSurfaceFormatKHR surface_format;\n  VkImageUsageFlags image_usage;\n  VkPresentModeKHR present_mode;\n  VkSurfaceTransformFlagBitsKHR pre_transform;\n};\n\nclass Swapchain {\n public:\n  Swapchain(Device& device, VkSurfaceKHR surface, const VkExtent2D& extent);\n  Swapchain(VkSwapchainKHR old_swapchain, Device& device, VkSurfaceKHR surface,\n            const VkExtent2D& extent);\n\n  // Special constructor from existing swapchain: to make sure the destructor of\n  // old_swapchain is called after the swapchain is created, Create() will be\n  // called automatically at the end of this constructor.\n  Swapchain(Swapchain& old_swapchain, const VkExtent2D& new_extent);\n\n  ~Swapchain();\n  void Create();\n  VkResult AcquireNextImage(uint32_t& image_index,\n                            VkSemaphore image_acquired_semaphore,\n                            VkFence fence);\n\n  VkSwapchainKHR GetHandle() const { return handle_; }\n  const std::vector<VkImage>& GetImages() const { return images_; }\n  VkFormat GetFormat() const;\n  VkImageUsageFlags GetUsage() const;\n  VkSurfaceKHR GetSurface() const { return surface_; }\n  const VkExtent2D& GetExtent() const { return properties_.extent; }\n\n private:\n  Device& device_;\n  VkSurfaceKHR surface_;\n  std::vector<VkSurfaceFormatKHR> surface_formats_;\n  std::vector<VkPresentModeKHR> present_modes_;\n\n  SwapchainProperties properties_;\n  VkSwapchainKHR handle_;\n  std::vector<VkImage> images_;\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/VertexObject.h",
    "content": "#pragma once\n\n#include \"Buffer.h\"\n#include \"Device.h\"\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nstruct VertexAttribute {\n  VkFormat format{VK_FORMAT_UNDEFINED};\n  uint32_t stride{0};\n  uint32_t offset{0};\n};\n\nclass VertexObject {\n public:\n  VertexObject(Device& device);\n  ~VertexObject();\n  template <class T>\n  void Update(const std::string& name, const std::vector<T>& array) {\n    size_t data_size = array.size() * sizeof(array[0]);\n    core::Buffer buffer{device_, static_cast<VkDeviceSize>(data_size),\n                        VK_BUFFER_USAGE_VERTEX_BUFFER_BIT,\n                        VK_MEMORY_PROPERTY_HOST_VISIBLE_BIT |\n                            VK_MEMORY_PROPERTY_HOST_COHERENT_BIT};\n    buffer.Update(reinterpret_cast<const uint8_t*>(array.data()), data_size, 0);\n    if (vertex_buffer_dict_.count(name)) {\n      vertex_buffer_dict_.erase(name);\n      attribute_resource_count_.erase(name);\n      vertex_attributes_.erase(name);\n    }\n    vertex_buffer_dict_.emplace(name, std::move(buffer));\n    attribute_resource_count_.emplace(name, array.size());\n\n    auto itr = kGlmToVkFormat.find(typeid(T));\n    if (itr != kGlmToVkFormat.end()) {\n      vertex_attributes_.insert(\n          std::make_pair(name, VertexAttribute{itr->second, sizeof(T), 0U}));\n    } else {\n      throw std::runtime_error(\"Unrecognized VK_FORMAT from GLM types!\");\n    }\n  }\n\n  void UpdateIndices(const std::vector<uint32_t>& indices);\n  core::Buffer* FindResource(const std::string& name);\n  int GetResourceCount(const std::string& name);\n  const core::Buffer& GetIndexBuffer() const { return *index_buffer_; }\n  const std::unordered_map<std::string, VertexAttribute>& GetVertexAttributes()\n      const {\n    return vertex_attributes_;\n  }\n\n  size_t GetIndexCount() const { return index_count_; }\n\n private:\n  Device& device_;\n  std::unordered_map<std::string, core::Buffer> vertex_buffer_dict_;\n  std::unordered_map<std::string, size_t> attribute_resource_count_;\n  std::unordered_map<std::string, VertexAttribute> vertex_attributes_;\n  std::unique_ptr<core::Buffer> index_buffer_;\n  size_t index_count_{0U};\n\n  const std::unordered_map<std::type_index, VkFormat> kGlmToVkFormat = {\n      {typeid(glm::vec2), VK_FORMAT_R32G32_SFLOAT},\n      {typeid(glm::vec3), VK_FORMAT_R32G32B32_SFLOAT},\n      {typeid(glm::vec4), VK_FORMAT_R32G32B32A32_SFLOAT},\n  };\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/core/resource_caching.h",
    "content": "#pragma once\n\n#include <type_traits>\n\n#include \"DescriptorPool.h\"\n#include \"DescriptorSetLayout.h\"\n#include \"Device.h\"\n#include \"ShaderModule.h\"\n#include \"vkoo/common.h\"\n\nnamespace std {\ntemplate <>\nstruct hash<vkoo::ShaderModule> {\n  std::size_t operator()(const vkoo::ShaderModule& shader_module) const {\n    std::size_t result = 0;\n    vkoo::hash_combine(result, shader_module.GetHashID());\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<vkoo::ShaderSource> {\n  std::size_t operator()(const vkoo::ShaderSource& shader_source) const {\n    std::size_t result = 0;\n    vkoo::hash_combine(result, shader_source.glsl_file);\n    vkoo::hash_combine(result, shader_source.entry_point);\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<vkoo::ShaderVariant> {\n  std::size_t operator()(const vkoo::ShaderVariant& shader_variant) const {\n    std::size_t result = 0;\n    vkoo::hash_combine(result, shader_variant.GetHashId());\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<vkoo::ShaderResource> {\n  std::size_t operator()(const vkoo::ShaderResource& shader_resource) const {\n    std::size_t result = 0;\n\n    if (shader_resource.type == vkoo::ShaderResourceType::Input ||\n        shader_resource.type == vkoo::ShaderResourceType::Output ||\n        shader_resource.type == vkoo::ShaderResourceType::PushConstant ||\n        shader_resource.type ==\n            vkoo::ShaderResourceType::SpecializationConstant) {\n      return result;\n    }\n\n    vkoo::hash_combine(result, shader_resource.set);\n    vkoo::hash_combine(result, shader_resource.binding);\n    vkoo::hash_combine(\n        result,\n        static_cast<std::underlying_type<vkoo::ShaderResourceType>::type>(\n            shader_resource.type));\n    vkoo::hash_combine(result, shader_resource.mode);\n\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<VkDescriptorBufferInfo> {\n  std::size_t operator()(\n      const VkDescriptorBufferInfo& descriptor_buffer_info) const {\n    std::size_t result = 0;\n\n    vkoo::hash_combine(result, descriptor_buffer_info.buffer);\n    vkoo::hash_combine(result, descriptor_buffer_info.range);\n    vkoo::hash_combine(result, descriptor_buffer_info.offset);\n\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<VkDescriptorImageInfo> {\n  std::size_t operator()(\n      const VkDescriptorImageInfo& descriptor_image_info) const {\n    std::size_t result = 0;\n\n    vkoo::hash_combine(result, descriptor_image_info.imageView);\n    vkoo::hash_combine(result,\n                       static_cast<std::underlying_type<VkImageLayout>::type>(\n                           descriptor_image_info.imageLayout));\n    vkoo::hash_combine(result, descriptor_image_info.sampler);\n\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<VkWriteDescriptorSet> {\n  std::size_t operator()(\n      const VkWriteDescriptorSet& write_descriptor_set) const {\n    std::size_t result = 0;\n\n    vkoo::hash_combine(result, write_descriptor_set.dstSet);\n    vkoo::hash_combine(result, write_descriptor_set.dstBinding);\n    vkoo::hash_combine(result, write_descriptor_set.dstArrayElement);\n    vkoo::hash_combine(result, write_descriptor_set.descriptorCount);\n    vkoo::hash_combine(result, write_descriptor_set.descriptorType);\n\n    switch (write_descriptor_set.descriptorType) {\n      case VK_DESCRIPTOR_TYPE_SAMPLER:\n      case VK_DESCRIPTOR_TYPE_COMBINED_IMAGE_SAMPLER:\n      case VK_DESCRIPTOR_TYPE_SAMPLED_IMAGE:\n      case VK_DESCRIPTOR_TYPE_STORAGE_IMAGE:\n      case VK_DESCRIPTOR_TYPE_INPUT_ATTACHMENT:\n        for (uint32_t i = 0; i < write_descriptor_set.descriptorCount; i++) {\n          vkoo::hash_combine(result, write_descriptor_set.pImageInfo[i]);\n        }\n        break;\n\n      case VK_DESCRIPTOR_TYPE_UNIFORM_TEXEL_BUFFER:\n      case VK_DESCRIPTOR_TYPE_STORAGE_TEXEL_BUFFER:\n        for (uint32_t i = 0; i < write_descriptor_set.descriptorCount; i++) {\n          vkoo::hash_combine(result, write_descriptor_set.pTexelBufferView[i]);\n        }\n        break;\n\n      case VK_DESCRIPTOR_TYPE_UNIFORM_BUFFER:\n      case VK_DESCRIPTOR_TYPE_STORAGE_BUFFER:\n      case VK_DESCRIPTOR_TYPE_UNIFORM_BUFFER_DYNAMIC:\n      case VK_DESCRIPTOR_TYPE_STORAGE_BUFFER_DYNAMIC:\n        for (uint32_t i = 0; i < write_descriptor_set.descriptorCount; i++) {\n          vkoo::hash_combine(result, write_descriptor_set.pBufferInfo[i]);\n        }\n        break;\n\n      default:\n        // Not implemented\n        break;\n    };\n\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<vkoo::DescriptorSetLayout> {\n  std::size_t operator()(\n      const vkoo::DescriptorSetLayout& descriptor_set_layout) const {\n    std::size_t result = 0;\n    vkoo::hash_combine(result, descriptor_set_layout.GetHandle());\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<vkoo::DescriptorPool> {\n  std::size_t operator()(const vkoo::DescriptorPool& descriptor_pool) const {\n    std::size_t result = 0;\n\n    vkoo::hash_combine(result, descriptor_pool.GetDescriptorSetLayout());\n\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<VkAttachmentDescription2KHR> {\n  std::size_t operator()(const VkAttachmentDescription2KHR& attachment) const {\n    std::size_t result = 0;\n\n    vkoo::hash_combine(\n        result,\n        static_cast<std::underlying_type<VkFormat>::type>(attachment.format));\n    vkoo::hash_combine(\n        result, static_cast<std::underlying_type<VkSampleCountFlagBits>::type>(\n                    attachment.samples));\n    vkoo::hash_combine(\n        result, static_cast<std::underlying_type<VkAttachmentLoadOp>::type>(\n                    attachment.loadOp));\n    vkoo::hash_combine(\n        result, static_cast<std::underlying_type<VkAttachmentStoreOp>::type>(\n                    attachment.storeOp));\n    vkoo::hash_combine(\n        result, static_cast<std::underlying_type<VkAttachmentLoadOp>::type>(\n                    attachment.stencilLoadOp));\n    vkoo::hash_combine(\n        result, static_cast<std::underlying_type<VkAttachmentStoreOp>::type>(\n                    attachment.stencilStoreOp));\n    vkoo::hash_combine(result,\n                       static_cast<std::underlying_type<VkImageLayout>::type>(\n                           attachment.initialLayout));\n    vkoo::hash_combine(result,\n                       static_cast<std::underlying_type<VkImageLayout>::type>(\n                           attachment.finalLayout));\n\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<VkExtent2D> {\n  size_t operator()(const VkExtent2D& extent) const {\n    size_t result = 0;\n\n    vkoo::hash_combine(result, extent.width);\n    vkoo::hash_combine(result, extent.height);\n\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<vkoo::StencilOpState> {\n  std::size_t operator()(const vkoo::StencilOpState& stencil) const {\n    std::size_t result = 0;\n\n    vkoo::hash_combine(result,\n                       static_cast<std::underlying_type<VkCompareOp>::type>(\n                           stencil.compare_op));\n    vkoo::hash_combine(result,\n                       static_cast<std::underlying_type<VkStencilOp>::type>(\n                           stencil.depth_fail_op));\n    vkoo::hash_combine(\n        result,\n        static_cast<std::underlying_type<VkStencilOp>::type>(stencil.fail_op));\n    vkoo::hash_combine(\n        result,\n        static_cast<std::underlying_type<VkStencilOp>::type>(stencil.pass_op));\n\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<vkoo::LoadStoreInfo> {\n  std::size_t operator()(const vkoo::LoadStoreInfo& load_store_info) const {\n    std::size_t result = 0;\n\n    vkoo::hash_combine(\n        result, static_cast<std::underlying_type<VkAttachmentLoadOp>::type>(\n                    load_store_info.load_op));\n    vkoo::hash_combine(\n        result, static_cast<std::underlying_type<VkAttachmentStoreOp>::type>(\n                    load_store_info.store_op));\n\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<vkoo::SubpassInfo> {\n  std::size_t operator()(const vkoo::SubpassInfo& subpass_info) const {\n    std::size_t result = 0;\n\n    for (uint32_t output_attachment : subpass_info.output_attachments) {\n      vkoo::hash_combine(result, output_attachment);\n    }\n\n    for (uint32_t input_attachment : subpass_info.input_attachments) {\n      vkoo::hash_combine(result, input_attachment);\n    }\n\n    for (uint32_t color_resolve_attachments :\n         subpass_info.color_resolve_attachments) {\n      vkoo::hash_combine(result, color_resolve_attachments);\n    }\n\n    vkoo::hash_combine(result, subpass_info.disable_depth_stencil_attachment);\n    vkoo::hash_combine(result, subpass_info.depth_stencil_resolve_attachment);\n    vkoo::hash_combine(\n        result, static_cast<std::underlying_type<VkResolveModeFlagBits>::type>(\n                    subpass_info.depth_stencil_resolve_mode));\n\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<VkSubpassDependency2KHR> {\n  std::size_t operator()(const VkSubpassDependency2KHR& dependency) const {\n    std::size_t result = 0;\n    vkoo::hash_combine(result, dependency.srcSubpass);\n    vkoo::hash_combine(result, dependency.dstSubpass);\n    vkoo::hash_combine(result, dependency.srcStageMask);\n    vkoo::hash_combine(result, dependency.dstStageMask);\n    vkoo::hash_combine(result, dependency.srcAccessMask);\n    vkoo::hash_combine(result, dependency.dstAccessMask);\n    vkoo::hash_combine(result, dependency.dependencyFlags);\n    return result;\n  };\n};\n\ntemplate <>\nstruct hash<vkoo::RenderTarget> {\n  std::size_t operator()(const vkoo::RenderTarget& render_target) const {\n    std::size_t result = 0;\n\n    for (auto& view : render_target.GetViews()) {\n      vkoo::hash_combine(result, view.GetHandle());\n    }\n\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<vkoo::RenderPass> {\n  std::size_t operator()(const vkoo::RenderPass& render_pass) const {\n    std::size_t result = 0;\n\n    vkoo::hash_combine(result, render_pass.GetHandle());\n\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<VkVertexInputAttributeDescription> {\n  std::size_t operator()(\n      const VkVertexInputAttributeDescription& vertex_attrib) const {\n    std::size_t result = 0;\n\n    vkoo::hash_combine(result, vertex_attrib.binding);\n    vkoo::hash_combine(result,\n                       static_cast<std::underlying_type<VkFormat>::type>(\n                           vertex_attrib.format));\n    vkoo::hash_combine(result, vertex_attrib.location);\n    vkoo::hash_combine(result, vertex_attrib.offset);\n\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<VkVertexInputBindingDescription> {\n  std::size_t operator()(\n      const VkVertexInputBindingDescription& vertex_binding) const {\n    std::size_t result = 0;\n\n    vkoo::hash_combine(result, vertex_binding.binding);\n    vkoo::hash_combine(\n        result, static_cast<std::underlying_type<VkVertexInputRate>::type>(\n                    vertex_binding.inputRate));\n    vkoo::hash_combine(result, vertex_binding.stride);\n\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<vkoo::ColorBlendAttachmentState> {\n  std::size_t operator()(\n      const vkoo::ColorBlendAttachmentState& color_blend_attachment) const {\n    std::size_t result = 0;\n\n    vkoo::hash_combine(result,\n                       static_cast<std::underlying_type<VkBlendOp>::type>(\n                           color_blend_attachment.alpha_blend_op));\n    vkoo::hash_combine(result, color_blend_attachment.blend_enable);\n    vkoo::hash_combine(result,\n                       static_cast<std::underlying_type<VkBlendOp>::type>(\n                           color_blend_attachment.color_blend_op));\n    vkoo::hash_combine(result, color_blend_attachment.color_write_mask);\n    vkoo::hash_combine(result,\n                       static_cast<std::underlying_type<VkBlendFactor>::type>(\n                           color_blend_attachment.dst_alpha_blend_factor));\n    vkoo::hash_combine(result,\n                       static_cast<std::underlying_type<VkBlendFactor>::type>(\n                           color_blend_attachment.dst_color_blend_factor));\n    vkoo::hash_combine(result,\n                       static_cast<std::underlying_type<VkBlendFactor>::type>(\n                           color_blend_attachment.src_alpha_blend_factor));\n    vkoo::hash_combine(result,\n                       static_cast<std::underlying_type<VkBlendFactor>::type>(\n                           color_blend_attachment.src_color_blend_factor));\n\n    return result;\n  }\n};\n\ntemplate <>\nstruct hash<vkoo::PipelineState> {\n  std::size_t operator()(const vkoo::PipelineState& pipeline_state) const {\n    std::size_t result = 0;\n\n    vkoo::hash_combine(result, pipeline_state.GetPipelineLayout()->GetHandle());\n\n    if (auto render_pass = pipeline_state.GetRenderPass()) {\n      vkoo::hash_combine(result, render_pass->GetHandle());\n    }\n\n    vkoo::hash_combine(result, pipeline_state.GetSubpassIndex());\n\n    for (auto shader_module :\n         pipeline_state.GetPipelineLayout()->GetShaderModules()) {\n      vkoo::hash_combine(result, shader_module->GetHashID());\n    }\n\n    // VertexInputState\n    for (auto& attribute : pipeline_state.GetVertexInputState().attributes) {\n      vkoo::hash_combine(result, attribute);\n    }\n\n    for (auto& binding : pipeline_state.GetVertexInputState().bindings) {\n      vkoo::hash_combine(result, binding);\n    }\n\n    // InputAssemblyState\n    vkoo::hash_combine(\n        result,\n        pipeline_state.GetInputAssemblyState().primitive_restart_enable);\n    vkoo::hash_combine(\n        result, static_cast<std::underlying_type<VkPrimitiveTopology>::type>(\n                    pipeline_state.GetInputAssemblyState().topology));\n\n    // ViewportState\n    vkoo::hash_combine(result,\n                       pipeline_state.GetViewportState().viewport_count);\n    vkoo::hash_combine(result, pipeline_state.GetViewportState().scissor_count);\n\n    // RasterizationState\n    vkoo::hash_combine(result,\n                       pipeline_state.GetRasterizationState().cull_mode);\n    vkoo::hash_combine(\n        result, pipeline_state.GetRasterizationState().depth_bias_enable);\n    vkoo::hash_combine(\n        result, pipeline_state.GetRasterizationState().depth_clamp_enable);\n    vkoo::hash_combine(result,\n                       static_cast<std::underlying_type<VkFrontFace>::type>(\n                           pipeline_state.GetRasterizationState().front_face));\n    vkoo::hash_combine(\n        result, static_cast<std::underlying_type<VkPolygonMode>::type>(\n                    pipeline_state.GetRasterizationState().polygon_mode));\n    vkoo::hash_combine(\n        result,\n        pipeline_state.GetRasterizationState().rasterizer_discard_enable);\n    vkoo::hash_combine(result,\n                       pipeline_state.GetRasterizationState().line_width);\n\n    // MultisampleState\n    vkoo::hash_combine(result,\n                       pipeline_state.GetMultisampleState().min_sample_shading);\n    vkoo::hash_combine(\n        result,\n        static_cast<std::underlying_type<VkSampleCountFlagBits>::type>(\n            pipeline_state.GetMultisampleState().rasterization_samples));\n    vkoo::hash_combine(\n        result, pipeline_state.GetMultisampleState().sample_shading_enable);\n\n    // DepthStencilState\n    vkoo::hash_combine(result, pipeline_state.GetDepthStencilState().back);\n    vkoo::hash_combine(\n        result, pipeline_state.GetDepthStencilState().depth_bounds_test_enable);\n    vkoo::hash_combine(\n        result, static_cast<std::underlying_type<VkCompareOp>::type>(\n                    pipeline_state.GetDepthStencilState().depth_compare_op));\n    vkoo::hash_combine(result,\n                       pipeline_state.GetDepthStencilState().depth_test_enable);\n    vkoo::hash_combine(\n        result, pipeline_state.GetDepthStencilState().depth_write_enable);\n    vkoo::hash_combine(result, pipeline_state.GetDepthStencilState().front);\n    vkoo::hash_combine(\n        result, pipeline_state.GetDepthStencilState().stencil_test_enable);\n\n    // ColorBlendState\n    vkoo::hash_combine(result,\n                       static_cast<std::underlying_type<VkLogicOp>::type>(\n                           pipeline_state.GetColorBlendState().logic_op));\n    vkoo::hash_combine(result,\n                       pipeline_state.GetColorBlendState().logic_op_enable);\n\n    for (auto& attachment : pipeline_state.GetColorBlendState().attachments) {\n      vkoo::hash_combine(result, attachment);\n    }\n\n    return result;\n  }\n};\n}  // namespace std\n\nnamespace vkoo {\ntemplate <typename T>\ninline void hash_param(size_t& seed, const T& value) {\n  hash_combine(seed, value);\n}\n\ntemplate <typename T, typename... Args>\ninline void hash_param(size_t& seed, const T& first_arg, const Args&... args) {\n  hash_param(seed, first_arg);\n  hash_param(seed, args...);\n}\n\ntemplate <>\ninline void hash_param<std::vector<ShaderModule*>>(\n    size_t& seed, const std::vector<ShaderModule*>& value) {\n  for (auto& shader_module : value) {\n    hash_combine(seed, shader_module->GetHashID());\n  }\n}\n\ntemplate <>\ninline void hash_param<std::vector<ShaderResource>>(\n    size_t& seed, const std::vector<ShaderResource>& value) {\n  for (auto& resource : value) {\n    hash_combine(seed, resource);\n  }\n}\n\ntemplate <>\ninline void hash_param<std::vector<VkImageView>>(\n    size_t& seed, const std::vector<VkImageView>& value) {\n  for (auto& view : value) {\n    hash_combine(seed, view);\n  }\n}\n\ntemplate <>\ninline void hash_param<std::vector<LoadStoreInfo>>(\n    size_t& seed, const std::vector<LoadStoreInfo>& value) {\n  for (auto& load_store_info : value) {\n    hash_combine(seed, load_store_info);\n  }\n}\n\ntemplate <>\ninline void hash_param<std::vector<VkAttachmentDescription2KHR>>(\n    size_t& seed, const std::vector<VkAttachmentDescription2KHR>& value) {\n  for (auto& description : value) {\n    hash_combine(seed, description);\n  }\n}\n\ntemplate <>\ninline void hash_param<std::vector<SubpassInfo>>(\n    size_t& seed, const std::vector<SubpassInfo>& value) {\n  for (auto& subpass_info : value) {\n    hash_combine(seed, subpass_info);\n  }\n}\n\ntemplate <>\ninline void hash_param<std::vector<VkSubpassDependency2KHR>>(\n    size_t& seed, const std::vector<VkSubpassDependency2KHR>& value) {\n  for (auto& subpass_info : value) {\n    hash_combine(seed, subpass_info);\n  }\n}\n\ntemplate <>\ninline void\nhash_param<std::map<uint32_t, std::map<uint32_t, VkDescriptorBufferInfo>>>(\n    size_t& seed,\n    const std::map<uint32_t, std::map<uint32_t, VkDescriptorBufferInfo>>&\n        value) {\n  for (auto& binding_set : value) {\n    hash_combine(seed, binding_set.first);\n\n    for (auto& binding_element : binding_set.second) {\n      hash_combine(seed, binding_element.first);\n      hash_combine(seed, binding_element.second);\n    }\n  }\n}\n\ntemplate <>\ninline void\nhash_param<std::map<uint32_t, std::map<uint32_t, VkDescriptorImageInfo>>>(\n    size_t& seed,\n    const std::map<uint32_t, std::map<uint32_t, VkDescriptorImageInfo>>&\n        value) {\n  for (auto& binding_set : value) {\n    hash_combine(seed, binding_set.first);\n\n    for (auto& binding_element : binding_set.second) {\n      hash_combine(seed, binding_element.first);\n      hash_combine(seed, binding_element.second);\n    }\n  }\n}\n\ntemplate <class T, class... A>\nT& RequestResource(Device& device,\n                   std::unordered_map<std::size_t, T>& resource_pool,\n                   A&... args) {\n  std::size_t hash{0U};\n  hash_param(hash, args...);\n\n  auto res_it = resource_pool.find(hash);\n\n  if (res_it != resource_pool.end()) {\n    return res_it->second;\n  }\n\n  const char* res_type = typeid(T).name();\n  size_t res_id = resource_pool.size();\n\n  T resource(device, args...);\n\n  auto res_ins_it = resource_pool.emplace(hash, std::move(resource));\n\n  if (!res_ins_it.second) {\n    throw std::runtime_error{std::string{\"Insertion error for #\"} +\n                             std::to_string(res_id) + \"cache object (\" +\n                             res_type + \")\"};\n  }\n\n  res_it = res_ins_it.first;\n\n  return res_it->second;\n}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/logging.h",
    "content": "#pragma once\n\n#include <spdlog/fmt/fmt.h>\n#include <spdlog/spdlog.h>\n\n#define __FILENAME__ (static_cast<const char*>(__FILE__))\n#define LOGI(...) spdlog::info(__VA_ARGS__);\n#define LOGW(...) spdlog::warn(__VA_ARGS__);\n#define LOGE(...) \\\n  spdlog::error(\"[{}:{}] {}\", __FILENAME__, __LINE__, fmt::format(__VA_ARGS__));\n#define LOGD(...) spdlog::debug(__VA_ARGS__);\n"
  },
  {
    "path": "vkoo/include/vkoo/st/Image.h",
    "content": "#pragma once\n\n#include \"vkoo/common.h\"\n#include \"vkoo/core/Device.h\"\n#include \"vkoo/core/Image.h\"\n#include \"vkoo/core/ImageView.h\"\n\nnamespace vkoo {\nnamespace st {\nstruct Mipmap {\n  /// Mipmap level.\n  uint32_t level = 0;\n\n  /// Byte offset used for uploading.\n  uint32_t offset = 0;\n\n  /// Width and height of the mipmap.\n  VkExtent2D extent = {0, 0};\n};\n\nclass Image {\n public:\n  Image(std::vector<uint8_t>&& data, std::vector<Mipmap>&& mipmaps = {{}},\n        VkFormat format = VK_FORMAT_R8G8B8A8_SRGB);\n  static std::unique_ptr<Image> Load(const std::string& image_path);\n  virtual ~Image() = default;\n\n  void CreateVkImageAndView(\n      Device& device, VkImageViewType image_view_type = VK_IMAGE_VIEW_TYPE_2D,\n      VkImageCreateFlags flags = 0);\n\n  void UploadDataToGPU(Device& device);\n\n  const core::Image& GetVkImage() const { return *vk_image_; }\n  const core::ImageView& GetVkImageView() const { return *vk_image_view_; }\n  const VkExtent2D& GetExtent() const { return mipmaps_.at(0).extent; }\n\n private:\n  std::vector<uint8_t> data_;\n  std::vector<Mipmap> mipmaps_;\n\n  VkFormat format_{VK_FORMAT_UNDEFINED};\n  std::unique_ptr<core::Image> vk_image_;\n  std::unique_ptr<core::ImageView> vk_image_view_;\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/st/Material.h",
    "content": "#pragma once\n\n#include \"vkoo/st/Texture.h\"\n#include \"vkoo/st/components/ComponentBase.h\"\n\nnamespace vkoo {\nnamespace st {\nclass Material {\n public:\n  std::unordered_map<std::string, Texture*> textures;\n  std::unordered_map<std::string, glm::vec4> colors;\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/st/Node.h",
    "content": "#pragma once\n\n#include <typeindex>\n\n#include \"Transform.h\"\n#include \"vkoo/common.h\"\n#include \"vkoo/st/components/ComponentBase.h\"\n\nnamespace vkoo {\nnamespace st {\nclass Node {\n public:\n  Node();\n  virtual ~Node() = default;\n\n  // Disallow copy constructor & assignment by default.\n  Node(const Node&) = delete;\n  Node& operator=(const Node&) = delete;\n\n  size_t GetChildrenCount() const { return children_.size(); }\n\n  Node& GetChild(size_t index) const { return *children_.at(index); }\n\n  Node* GetParentPtr() const { return parent_; }\n\n  void AddChild(std::unique_ptr<Node> child);\n\n  std::unique_ptr<Node> RemoveChild(std::function<bool(Node*)> predicate);\n  std::unique_ptr<Node> RemoveChild(Node* child);\n  void RemoveAllChildren();\n  void RemoveFromParent();\n\n  template <class T>\n  void SetComponent(std::unique_ptr<T> component) {\n    component->SetNode(this);\n    component_dict_[component->GetType()] = std::move(component);\n  }\n\n  template <class T>\n  bool RemoveComponent() {\n    auto itr = component_dict_.find(typeid(T));\n    if (itr != component_dict_.end()) {\n      component_dict_.erase(itr);\n      return true;\n    }\n    return false;\n  }\n\n  template <class T, typename... Args>\n  T& CreateComponent(Args&&... args) {\n    auto component = std::make_unique<T>(std::forward<Args>(args)...);\n    std::type_index index = component->GetType();\n    SetComponent<T>(std::move(component));\n    return static_cast<T&>(*GetComponent(index));\n  }\n\n  ComponentBase* GetComponent(std::type_index index) const;\n\n  template <class T>\n  T* GetComponentPtr() const {\n    return static_cast<T*>(GetComponent(typeid(T)));\n  }\n\n  template <class T>\n  std::vector<T*> GetComponentsRecursive(bool visible_only = false) const {\n    std::vector<T*> result;\n    std::vector<ComponentBase*> result_raw;\n    GatherComponentsRecursive(typeid(T), result_raw, visible_only);\n    for (ComponentBase* c : result_raw) {\n      result.push_back(static_cast<T*>(c));\n    }\n    return result;\n  }\n\n  Transform& GetTransform() { return transform_; }\n\n  const Transform& GetTransform() const { return transform_; }\n\n  const std::string& GetTag() const { return tag_; }\n  void SetTag(const std::string& tag) { tag_ = tag; }\n\n  bool IsVisible() const { return visible_; }\n  void SetVisible(bool visible) { visible_ = visible; }\n\n private:\n  void GatherComponentsRecursive(std::type_index index,\n                                 std::vector<ComponentBase*>& result,\n                                 bool visible_only = false) const;\n\n  Transform transform_;\n  std::unordered_map<std::type_index, std::unique_ptr<ComponentBase>>\n      component_dict_;\n  std::vector<std::unique_ptr<Node>> children_;\n  Node* parent_{nullptr};\n  std::string tag_;\n  bool visible_{true};\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/st/Scene.h",
    "content": "#pragma once\n\n#include \"Node.h\"\n#include \"vkoo/st/components/Camera.h\"\n\nnamespace vkoo {\nnamespace st {\nclass Scene {\n public:\n  Scene(std::unique_ptr<Node> root);\n  Node& GetRoot() { return *root_; }\n  Camera* GetActiveCameraPtr() const;\n  void SetActiveCameraPtr(Camera* active_camera_ptr);\n\n private:\n  std::unique_ptr<Node> root_;\n  Camera* active_camera_ptr_;\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/st/ShaderProgram.h",
    "content": "#pragma once\n\n#include \"vkoo/common.h\"\n#include \"vkoo/core/ShaderModule.h\"\n\nnamespace vkoo {\nnamespace st {\nclass ShaderProgram {\n public:\n  ShaderProgram(const ShaderSource& vertex_shader_source,\n                const ShaderSource& fragment_shader_source);\n  ShaderSource vertex_shader_source;\n  ShaderSource fragment_shader_source;\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/st/Texture.h",
    "content": "#pragma once\n\n#include \"Image.h\"\n#include \"vkoo/core/Sampler.h\"\n\nnamespace vkoo {\nnamespace st {\nclass Texture {\n public:\n  Image* GetImage() const { return image_; }\n  void SetImage(Image* image) { image_ = image; }\n  core::Sampler* GetSampler() const { return sampler_; }\n  void SetSampler(core::Sampler* sampler) { sampler_ = sampler; }\n\n private:\n  Image* image_{nullptr};\n  core::Sampler* sampler_{nullptr};\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/st/Transform.h",
    "content": "#pragma once\n\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nnamespace st {\nclass Node;\n\nclass Transform {\n public:\n  Transform(Node& node);\n  void SetPosition(const glm::vec3& position);\n  void SetRotation(const glm::quat& rotation);\n  void SetRotation(const glm::vec3& axis, float angle);\n  void SetScale(const glm::vec3& scale);\n  void SetMatrix4x4(const glm::mat4& T);\n  glm::vec3 GetPosition() const { return position_; }\n  glm::quat GetRotation() const { return rotation_; }\n  glm::vec3 GetScale() const { return scale_; }\n  glm::vec3 GetWorldPosition() const;\n  glm::mat4 GetWorldToLocalMatrix() const;\n  glm::mat4 GetLocalToWorldMatrix() const;\n  glm::mat4 GetLocalToParentMatrix() const;\n  glm::mat4 GetLocalToAncestorMatrix(Node* ancestor) const;\n  glm::vec3 GetForwardDirection() const;\n  glm::vec3 GetUpDirection() const;\n  glm::vec3 GetRightDirection() const;\n  static glm::vec3 GetWorldUp();\n  static glm::vec3 GetWorldRight();\n  static glm::vec3 GetWorldForward();\n\n private:\n  void UpdateLocalTransformMatrix();\n\n  glm::vec3 position_;\n  glm::quat rotation_;\n  glm::vec3 scale_;\n\n  glm::mat4 local_transform_mat_;\n\n  Node& node_;\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/st/components/Camera.h",
    "content": "#pragma once\n\n#include \"ComponentBase.h\"\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nnamespace st {\nclass Camera : public ComponentBase {\n public:\n  Camera(float fov, float aspect_ratio, float z_near, float z_far);\n  std::type_index GetType() const override { return typeid(Camera); }\n  glm::mat4 GetProjectionMatrix() const;\n  glm::mat4 GetViewMatrix() const;\n  glm::vec3 GetFrontDirection() const;\n  void SetAspectRatio(float aspect_ratio) { aspect_ratio_ = aspect_ratio; }\n  void SetPrescribedViewMatrix(const glm::mat4& view_mat);\n\n private:\n  float fov_;\n  float aspect_ratio_;\n  float z_near_;\n  float z_far_;\n\n  std::unique_ptr<glm::mat4> prescribed_view_mat_;\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/st/components/ComponentBase.h",
    "content": "#pragma once\n\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nnamespace st {\nclass Node;\nclass ComponentBase {\n public:\n  virtual ~ComponentBase() = default;\n\n  // Disallow copy constructor & assignment by default.\n  ComponentBase() {}\n  ComponentBase(const ComponentBase&) = delete;\n  ComponentBase& operator=(const ComponentBase&) = delete;\n\n  void SetNode(Node* node) { node_ = node; }\n  Node* GetNode() const { return node_; }\n  virtual std::type_index GetType() const = 0;\n\n protected:\n  Node* node_;\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/st/components/Light.h",
    "content": "#pragma once\n\n#include \"ComponentBase.h\"\n\nnamespace vkoo {\nnamespace st {\n\nenum LightType { Directional = 0, Point = 1, Max };\n\nstruct LightProperties {\n  glm::vec3 direction{0.0f, 0.0f, -1.0f};\n  glm::vec3 color{1.0f, 1.0f, 1.0f};\n  float intensity{1.0f};\n  float range{0.0f};\n};\n\nclass Light : public ComponentBase {\n public:\n  std::type_index GetType() const final;\n  LightType GetLightType() const;\n  void SetType(LightType type);\n  const LightProperties& GetProperties() const;\n  void SetProperties(const LightProperties& properties);\n\n private:\n  LightType type_;\n  LightProperties properties_;\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/st/components/Mesh.h",
    "content": "#pragma once\n\n#include \"ComponentBase.h\"\n#include \"vkoo/core/ShaderModule.h\"\n#include \"vkoo/core/VertexObject.h\"\n\nnamespace vkoo {\nnamespace st {\nclass Material;\n\nenum class PrimitiveTopology { TriangleList, LineList, PointList };\n\nenum class PolygonMode { Line, Fill };\n\nclass Mesh : public ComponentBase {\n public:\n  Mesh(std::shared_ptr<VertexObject> vertex_object, uint32_t index_count,\n       uint32_t index_offset = 0);\n  std::type_index GetType() const override;\n\n  VertexObject& GetVertexObject() const { return *vertex_object_; }\n  uint32_t GetIndexOffset() const { return index_offset_; }\n  uint32_t GetIndexCount() const { return index_count_; }\n  void SetAttribute(const std::string& name, const VertexAttribute& attribute);\n  void SetAttributes(\n      const std::unordered_map<std::string, VertexAttribute>& attributes);\n  std::optional<VertexAttribute> GetAttribute(const std::string& name) const;\n  void SetMaterial(const Material& material);\n  const Material* GetMaterial() const { return material_; }\n  float GetLineWidth() const;\n\n  PrimitiveTopology GetPrimitiveTopology() const;\n  void SetPrimitiveTopology(PrimitiveTopology topology);\n  void SetLineWidth(float line_width);\n  PolygonMode GetPolygonMode() const;\n  void SetPolygonMode(PolygonMode polygon_mode);\n  void SetTransparent(bool transparent);\n  bool IsTransparent() const { return transparent_; }\n  void SetAllowDepthTesting(bool allow);\n  bool AllowDepthTesting() const { return allow_depth_testing_; }\n  const ShaderVariant& GetShaderVariant() const { return shader_variant_; }\n  void UpdateShaderVariant();\n\n private:\n  std::shared_ptr<VertexObject> vertex_object_;\n  uint32_t index_offset_;\n  uint32_t index_count_;\n  std::unordered_map<std::string, VertexAttribute> vertex_attributes_;\n  const Material* material_{nullptr};\n  bool transparent_{false};\n  bool allow_depth_testing_{true};\n\n  PrimitiveTopology topology_{PrimitiveTopology::TriangleList};\n  PolygonMode polygon_mode_{PolygonMode::Fill};\n  float line_width_{1.0f};\n\n  ShaderVariant shader_variant_;\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/st/components/Script.h",
    "content": "#pragma once\n\n#include \"ComponentBase.h\"\n#include \"vkoo/core/InputEvent.h\"\n\nnamespace vkoo {\nnamespace st {\nclass Script : public ComponentBase {\n public:\n  Script(Node& node);\n\n  std::type_index GetType() const final;\n\n  virtual ~Script() = default;\n  virtual void Update([[maybe_unused]] float delta_time) {}\n  virtual bool HandleInputEvent(\n      [[maybe_unused]] const InputEvent& input_event) {\n    return false;\n  }\n  virtual void OnWindowResize([[maybe_unused]] uint32_t width,\n                              [[maybe_unused]] uint32_t height) {}\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/st/components/Tracing.h",
    "content": "#pragma once\n\n#include \"ComponentBase.h\"\n#include \"vkoo/st/hittables/HittableBase.h\"\n\nnamespace vkoo {\nnamespace st {\nclass Tracing : public ComponentBase {\n public:\n  Tracing(std::shared_ptr<HittableBase> hittable);\n  const HittableBase& GetHittable() const { return *hittable_; }\n  void SetHittable(std::shared_ptr<HittableBase> hittable);\n  std::type_index GetType() const final;\n\n private:\n  std::shared_ptr<HittableBase> hittable_;\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/st/hittables/AABB.h",
    "content": "#pragma once\n\n#include \"HittableBase.h\"\n\nnamespace vkoo {\nnamespace st {\nclass AABB : public HittableBase {\n public:\n  AABB(const glm::vec3& mn, const glm::vec3& mx);\n  static AABB FromCuboid(const glm::vec3& center, const glm::vec3& halflengths);\n\n  bool Intersect(const Ray& ray, HitRecord& record) const override;\n\n private:\n  glm::vec3 mn_;\n  glm::vec3 mx_;\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/st/hittables/Cylinder.h",
    "content": "#pragma once\n\n#include \"HittableBase.h\"\n\nnamespace vkoo {\nnamespace st {\nclass Cylinder : public HittableBase {\n public:\n  // Cylinder has its base on xz plane.\n  Cylinder(float radius, float height);\n  bool Intersect(const Ray& ray, HitRecord& record) const override;\n  bool IsYOnCylinder(float y) const;\n\n private:\n  float radius_;\n  float height_;\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/st/hittables/HittableBase.h",
    "content": "#pragma once\n\n#include \"Ray.h\"\n\nnamespace vkoo {\nnamespace st {\nclass HittableBase {\n public:\n  virtual ~HittableBase() = default;\n  virtual bool Intersect(const Ray& ray, HitRecord& record) const = 0;\n};\n}  // namespace st\n}  // namespace vkoo"
  },
  {
    "path": "vkoo/include/vkoo/st/hittables/Plane.h",
    "content": "#pragma once\n\n#include \"HittableBase.h\"\n\nnamespace vkoo {\nnamespace st {\nclass Plane : public HittableBase {\n public:\n  Plane(const glm::vec3& normal, float d);\n  bool Intersect(const Ray& ray, HitRecord& record) const override;\n\n private:\n  glm::vec3 normal_;\n  float d_;\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/st/hittables/Ray.h",
    "content": "#pragma once\n\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nnamespace st {\n\nstruct HitRecord {\n  HitRecord() { time = std::numeric_limits<float>::max(); }\n\n  float time;\n  glm::vec3 normal;\n};\n\nclass Ray {\n public:\n  Ray(const glm::vec3& origin, const glm::vec3& direction)\n      : origin_(origin), direction_(direction) {}\n\n  const glm::vec3& GetOrigin() const { return origin_; }\n\n  const glm::vec3& GetDirection() const { return direction_; }\n\n  void SetDirection(const glm::vec3& direction) { direction_ = direction; }\n\n  glm::vec3 At(float t) const { return origin_ + t * direction_; }\n\n  void ApplyTransform(const glm::mat4& transform) {\n    glm::vec3 ref = At(1.0f);\n    glm::vec4 new_origin = transform * glm::vec4(origin_, 1.0f);\n    origin_ = glm::vec3(new_origin / new_origin.w);\n    glm::vec4 new_ref = transform * glm::vec4(ref, 1.0f);\n    ref = glm::vec3(new_ref / new_ref.w);\n    direction_ = ref - origin_;\n    // Note: do not normalize direction_ here since we want\n    // ref to always be At(1.0) before/after transform.\n  }\n\n private:\n  glm::vec3 origin_;\n  glm::vec3 direction_;\n};\n}  // namespace st\n}  // namespace vkoo"
  },
  {
    "path": "vkoo/include/vkoo/st/hittables/Sphere.h",
    "content": "#pragma once\n\n#include \"HittableBase.h\"\n\nnamespace vkoo {\nnamespace st {\nclass Sphere : public HittableBase {\n public:\n  // A sphere is always centered at origin in its local coordinate.\n  Sphere(float radius) : radius_(radius) {}\n  bool Intersect(const Ray& ray, HitRecord& record) const override;\n\n private:\n  float radius_;\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/st/hittables/Triangle.h",
    "content": "#pragma once\n\n#include \"HittableBase.h\"\n\nnamespace vkoo {\nnamespace st {\nclass Triangle : public HittableBase {\n public:\n  Triangle(const glm::vec3& p0, const glm::vec3& p1, const glm::vec3& p2,\n           const glm::vec3& n0, const glm::vec3& n1, const glm::vec3& n2);\n  Triangle(const std::vector<glm::vec3>& positions,\n           const std::vector<glm::vec3>& normals);\n\n  bool Intersect(const Ray& ray, HitRecord& record) const override;\n  const glm::vec3& GetPosition(size_t i) const { return positions_[i]; }\n  const glm::vec3& GetNormal(size_t i) const { return normals_[i]; }\n\n private:\n  std::vector<glm::vec3> positions_;\n  std::vector<glm::vec3> normals_;\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/st/scripts/ArcBallCameraScript.h",
    "content": "#pragma once\n\n#include \"vkoo/st/Node.h\"\n#include \"vkoo/st/components/Camera.h\"\n#include \"vkoo/st/components/Script.h\"\n\nnamespace vkoo {\nnamespace st {\nclass ArcBallCameraScript : public Script {\n public:\n  ArcBallCameraScript(Camera& camera, const glm::vec3& position,\n                      const glm::vec3& anchor, const glm::vec3& up_direction,\n                      bool reversed);\n  void OnWindowResize(uint32_t width, uint32_t height) override;\n  bool HandleInputEvent(const InputEvent& event) override;\n  bool& GetReversedRef() { return reversed_; }\n  const glm::vec3& GetPosition() const { return position_; }\n  const glm::vec3& GetAnchor() const { return anchor_; }\n  const glm::vec3& GetUpDirection() const { return up_direction_; }\n  void UpdateViewMatrix();\n\n private:\n  void PerformRotation(glm::vec2 new_mouse_position);\n  void PerformZoom(glm::vec2 new_mouse_position);\n  void PerformTranslation(glm::vec2 new_mouse_position);\n  glm::vec3 GetRightDirection();\n\n  Camera& camera_;\n  glm::vec2 last_position_;\n  std::map<MouseButton, bool> is_mouse_pressed_;\n\n  glm::vec3 position_;\n  glm::vec3 anchor_;\n  glm::vec3 up_direction_;\n  bool reversed_;\n};\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/include/vkoo/utils.h",
    "content": "#pragma once\n\n#include \"vkoo/common.h\"\n\nnamespace vkoo {\nclass Device;\n\nstd::string GetShaderPath();\nstd::string GetAssetPath();\n\nstd::vector<uint8_t> ReadBinaryFile(const std::string& filename);\nuint32_t FindMemoryType(const Device& device, uint32_t type_filter,\n                        VkMemoryPropertyFlags properties);\n\nstd::unique_ptr<std::vector<glm::vec3>> EstimateNormals(\n    const std::vector<glm::vec3>& positions,\n    const std::vector<uint32_t>& indices, bool inverse_normal = false);\n\nstd::vector<std::string> Split(const std::string& s, char delim);\n}  // namespace vkoo"
  },
  {
    "path": "vkoo/shaders/deferred_geometry.frag",
    "content": "#version 450\n\nlayout(location = 0) in vec4 in_pos;\nlayout(location = 1) in vec3 in_normal;\n#ifdef PER_VERTEX_COLOR\nlayout(location = 2) in vec4 in_color;\n#else\nlayout(location = 2) in vec2 in_uv;\n#endif\n\n#ifdef HAS_DIFFUSE_TEXTURE\nlayout(binding = 2) uniform sampler2D diffuse_texture;\n#endif\n\nlayout(push_constant) uniform MaterialUniform {\n    vec4 diffuse_color;\n    uint has_texture;\n} material_uniform;\n\nlayout(location = 0) out vec4 o_albedo;\nlayout(location = 1) out vec4 o_normal;\n\nvoid main(void)\n{\n    o_normal = vec4(normalize(in_normal), 1.0);\n\n#ifdef PER_VERTEX_COLOR\n    o_albedo = in_color;\n#else\n#ifdef HAS_DIFFUSE_TEXTURE\n    o_albedo = texture(diffuse_texture, in_uv);\n#else\n    o_albedo = material_uniform.diffuse_color;\n#endif\n#endif\n}\n"
  },
  {
    "path": "vkoo/shaders/deferred_geometry.vert",
    "content": "#version 450\n\nlayout(set = 0, binding = 1) uniform GlobalUniform {\n    mat4 model_mat;\n    mat4 normal_mat;\n    mat4 view_proj_mat;\n    vec3 camera_position;\n} global_uniform;\n\nlayout(location = 0) in vec3 position;\nlayout(location = 1) in vec3 normal;\n#ifdef PER_VERTEX_COLOR\nlayout(location = 2) in vec4 color;\n#else\nlayout(location = 2) in vec2 tex_coord;\n#endif\n\nlayout(location = 0) out vec4 o_pos;\nlayout(location = 1) out vec3 o_normal;\n#ifdef PER_VERTEX_COLOR\nlayout(location = 2) out vec4 o_color;\n#else\nlayout(location = 2) out vec2 o_tex_coord;\n#endif\n\nvoid main()\n{\n    o_pos = global_uniform.model_mat * vec4(position, 1.0);\n    o_normal = vec3(global_uniform.normal_mat * vec4(normal, 0.0));\n#ifdef PER_VERTEX_COLOR\n    o_color = color;\n#else\n    o_tex_coord = tex_coord;\n#endif\n    gl_Position = global_uniform.view_proj_mat * o_pos;\n\n    #ifdef DRAW_POINTS_ONLY\n    gl_PointSize = 1.0f;\n    #endif\n}\n"
  },
  {
    "path": "vkoo/shaders/deferred_lighting.frag",
    "content": "#version 450\n\nlayout(location = 0) in vec2 in_uv;\nlayout(location = 0) out vec4 o_color;\n\nlayout(set = 0, binding = 0) uniform sampler2D depth_tex;\nlayout(set = 0, binding = 1) uniform sampler2D albedo_tex;\nlayout(set = 0, binding = 2) uniform sampler2D normal_tex;\n\n#ifdef SSAO_ENABLED\nlayout(set = 0, binding = 3) uniform sampler2D ssao_tex;\n#endif\n\nlayout(set = 0, binding = 4) uniform CameraUniform {\n    mat4 clip_to_world_mat;\n    vec2 inv_resolution;\n} camera_uniform;\n\nstruct Light {\n    vec4 position;\n    vec4 color;\n    vec4 direction;\n};\n\nlayout(set = 0, binding = 5) uniform LightsInfo {\n    Light directional_lights[32];\n    Light point_lights[32];\n    uint directional_light_count;\n    uint point_light_count;\n} lights_info;\n\nvec3 ApplyDirectionalLight(Light light, vec3 normal)\n{\n    vec3 world_to_light = -light.direction.xyz;\n    world_to_light = normalize(world_to_light);\n    float ndotl = clamp(dot(normal, world_to_light), 0.0, 1.0);\n    return ndotl * light.color.w * light.color.rgb;\n}\n\nvec3 ApplyPointLight(Light light, vec3 pos, vec3 normal)\n{\n    vec3  world_to_light = light.position.xyz - pos;\n    float dist = length(world_to_light) * 0.005;\n    float atten = 1.0 / (dist * dist);\n    world_to_light = normalize(world_to_light);\n    float ndotl = clamp(dot(normal, world_to_light), 0.0, 1.0);\n    return ndotl * light.color.w * atten * light.color.rgb;\n}\n\nvoid main()\n{\n    // Retrieve position from depth. Note in_uv is in [0, 2].\n    vec4 clip = vec4(in_uv * 2.0 - 1.0, texture(depth_tex, in_uv).x, 1.0);\n    vec4 world_w = camera_uniform.clip_to_world_mat * clip;\n    vec3 pos = world_w.xyz / world_w.w;\n    vec4 albedo = texture(albedo_tex, in_uv);\n    vec3 normal = texture(normal_tex, in_uv).xyz;\n    // Calculate lighting.\n    vec3 light_contribution = vec3(0.0);\n    for (uint i = 0U; i < lights_info.directional_light_count; i++) {\n        light_contribution += ApplyDirectionalLight(lights_info.directional_lights[i], normal);\n    }\n    for (uint i = 0U; i < lights_info.point_light_count; i++) {\n        light_contribution += ApplyPointLight(lights_info.point_lights[i], pos, normal);\n    }\n    light_contribution += vec3(0.7);// ambient light\n\n    vec4 base_color = albedo;\n    if ((normal.x == 0) && (normal.y == 0) && (normal.z == 0)) {\n        o_color = base_color;\n    } else {\n        o_color = vec4(light_contribution * base_color.xyz, base_color.w);\n#ifdef SSAO_ENABLED\n        o_color.rgb *= 1.0 - texture(ssao_tex, in_uv).x;\n#endif\n    }\n}\n"
  },
  {
    "path": "vkoo/shaders/deferred_ssao.frag",
    "content": "#version 450\n\nlayout(location = 0) in vec2 in_uv;\nlayout(location = 0) out float o_occlusion;\n\nlayout(set = 0, binding = 0) uniform sampler2D depth_tex;\nlayout(set = 0, binding = 1) uniform sampler2D normal_tex;\nlayout(set = 0, binding = 2) uniform sampler2D ssao_noise_tex;\n\nlayout(constant_id = 0) const uint kSSAOKernelSize = 64;\nlayout(constant_id = 1) const float kSSAORadius = 0.2;\n\nlayout(set = 0, binding = 3) uniform SSAOKernel {\n    vec4 samples[kSSAOKernelSize];\n} ssao_kernel;\n\nlayout(set = 0, binding = 4) uniform CameraUniform {\n    mat4 world_to_clip_mat;\n    mat4 clip_to_world_mat;\n} camera_uniform;\n\n\nvoid main() {\n    float depth = texture(depth_tex, in_uv).x;\n    vec4 clip = vec4(in_uv * 2.0 - 1.0, depth, 1.0);\n    vec4 world_w = camera_uniform.clip_to_world_mat * clip;\n    vec3 frag_pos = world_w.xyz / world_w.w;// world position of the fragment\n\n    vec3 normal = texture(normal_tex, in_uv).xyz;\n    normal = normalize(2.0 * normal - 1.0);\n\n    ivec2 tex_dim = textureSize(depth_tex, 0);\n    ivec2 noise_tex_dim = textureSize(ssao_noise_tex, 0);\n    const vec2 noise_uv = vec2(float(tex_dim.x) / float(noise_tex_dim.x), float(tex_dim.y) / float(noise_tex_dim.y)) * in_uv;\n    vec3 rand_vec = texture(ssao_noise_tex, noise_uv).xyz * 2.0 - 1.0;\n\n    // Create TBN frame.\n    vec3 tangent = normalize(rand_vec - normal * dot(rand_vec, normal));\n    vec3 bitangent = cross(tangent, normal);\n    mat3 TBN = mat3(tangent, bitangent, normal);\n\n    float occlusion = 0.0;\n    const float bias = 0.0025;\n    for (uint i = 0; i < kSSAOKernelSize; i++) {\n        vec3 sample_pos = TBN * ssao_kernel.samples[i].xyz;\n        sample_pos = frag_pos + kSSAORadius * sample_pos;\n\n        vec4 sample_clip_pos = camera_uniform.world_to_clip_mat * vec4(sample_pos, 1.0);\n        sample_clip_pos.xyz /= sample_clip_pos.w;\n        // Scale from clip position to uv.\n        float sample_depth = texture(depth_tex, sample_clip_pos.xy * 0.5 + 0.5).x;\n\n        float range_check = smoothstep(0.0, 1.0, kSSAORadius / abs(depth - sample_depth));\n        // float range_check = 1.0f;\n        occlusion += (sample_depth + bias <= sample_clip_pos.z ? 1.0: 0.0) * range_check;\n    }\n    occlusion = occlusion / kSSAOKernelSize;\n\n    o_occlusion = occlusion;\n}\n"
  },
  {
    "path": "vkoo/shaders/deferred_ssao_blur.frag",
    "content": "#version 450\n\nlayout(set = 0, binding = 0) uniform sampler2D ssao_tex;\n\nlayout(location = 0) in vec2 in_uv;\n\nlayout(location = 0) out float o_blurred_occlusion;\n\nvoid main()\n{\n    const int blurRange = 2;\n    int n = 0;\n    vec2 texel_size = 1.0 / vec2(textureSize(ssao_tex, 0));\n    float result = 0.0;\n    for (int x = -blurRange; x < blurRange; x++) {\n        for (int y = -blurRange; y < blurRange; y++) {\n            vec2 offset = vec2(float(x), float(y)) * texel_size;\n            result += texture(ssao_tex, in_uv + offset).r;\n            n++;\n        }\n    }\n    o_blurred_occlusion = result / (float(n));\n}"
  },
  {
    "path": "vkoo/shaders/deferred_transparent.frag",
    "content": "#version 450\n\nlayout(location = 0) in vec4 in_pos;\nlayout(location = 1) in vec3 in_normal;\nlayout(location = 2) in vec2 in_uv;\n\n#ifdef HAS_DIFFUSE_TEXTURE\nlayout(binding = 2) uniform sampler2D diffuse_texture;\n#endif\n\nlayout(push_constant) uniform MaterialUniform {\n    vec4 diffuse_color;\n    uint has_texture;\n} material_uniform;\n\nlayout(location = 0) out vec4 o_color;\n\nvoid main(void)\n{\n    #ifdef HAS_DIFFUSE_TEXTURE\n    o_color = texture(diffuse_texture, in_uv);\n    #else\n    o_color = material_uniform.diffuse_color;\n    #endif\n}\n"
  },
  {
    "path": "vkoo/shaders/forward.frag",
    "content": "#version 450\n\nlayout(set = 0, binding = 1) uniform GlobalUniform {\n    mat4 model_mat;\n    mat4 normal_mat;\n    mat4 view_proj_mat;\n    vec3 camera_position;\n} global_uniform;\n\nlayout(location = 0) in vec4 in_pos;\nlayout(location = 1) in vec3 in_normal;\nlayout(location = 2) in vec4 in_color;\nlayout(location = 3) in vec2 in_tex_coord;\n\nlayout(binding = 2) uniform sampler2D diffuse_tex;\n\nlayout(location = 0) out vec4 o_color;\n\nstruct Light {\n    vec4 position;\n    vec4 color;\n    vec4 direction;\n};\n\nlayout(set = 0, binding = 4) uniform LightsInfo {\n    Light directional_lights[32];\n    Light point_lights[32];\n    uint directional_light_count;\n    uint point_light_count;\n} lights_info;\n\nvec3 ApplyDirectionalLight(Light light, vec3 normal)\n{\n    vec3 world_to_light = -light.direction.xyz;\n    world_to_light = normalize(world_to_light);\n    float ndotl = clamp(dot(normal, world_to_light), 0.0, 1.0);\n    return ndotl * light.color.w * light.color.rgb;\n}\n\nvec3 ApplyPointLight(Light light, vec3 pos, vec3 normal)\n{\n    vec3  world_to_light = light.position.xyz - pos;\n    float dist = length(world_to_light) * 0.005;\n    float atten = 1.0 / (dist * dist);\n    world_to_light = normalize(world_to_light);\n    float ndotl = clamp(dot(normal, world_to_light), 0.0, 1.0);\n    return ndotl * light.color.w * atten * light.color.rgb;\n}\n\nvoid main() {\n    vec3 normal = normalize(in_normal);\n    vec3 light_contribution = vec3(0.0);\n    for (uint i = 0U; i < lights_info.directional_light_count; i++) {\n        light_contribution += ApplyDirectionalLight(lights_info.directional_lights[i], normal);\n    }\n    for (uint i = 0U; i < lights_info.point_light_count; i++) {\n        light_contribution += ApplyPointLight(lights_info.point_lights[i], vec3(in_pos), normal);\n    }\n    light_contribution += vec3(0.2);// ambient light\n    vec4 base_color = in_color;\n    o_color = vec4(light_contribution * base_color.xyz, base_color.w);\n    // o_color = vec4(1.0, 1.0, 1.0, 1.0);// base_color;\n}"
  },
  {
    "path": "vkoo/shaders/forward.vert",
    "content": "#version 450\n\nlayout(set = 0, binding = 1) uniform GlobalUniform {\n    mat4 model_mat;\n    mat4 normal_mat;\n    mat4 view_proj_mat;\n    vec3 camera_position;\n} global_uniform;\n\nlayout(location = 0) in vec3 position;\nlayout(location = 1) in vec3 normal;\nlayout(location = 2) in vec4 color;\nlayout(location = 3) in vec2 tex_coord;\n\nlayout(location = 0) out vec4 o_pos;\nlayout(location = 1) out vec3 o_normal;\nlayout(location = 2) out vec4 o_color;\nlayout(location = 3) out vec2 o_tex_coord;\n\nvoid main() {\n    o_pos = global_uniform.model_mat * vec4(position, 1.0);\n    o_normal = vec3(global_uniform.normal_mat * vec4(normal, 0.0));\n    o_color = color;\n    o_tex_coord = tex_coord;\n    gl_Position = global_uniform.view_proj_mat * o_pos;\n}"
  },
  {
    "path": "vkoo/shaders/imgui.frag",
    "content": "#version 450\n\nlayout (binding = 0) uniform sampler2D fontSampler;\n\nlayout (location = 0) in vec2 inUV;\nlayout (location = 1) in vec4 inColor;\n\nlayout (location = 0) out vec4 outColor;\n\nvoid main()\n{\n    outColor = inColor * texture(fontSampler, inUV);\n}\n"
  },
  {
    "path": "vkoo/shaders/imgui.vert",
    "content": "#version 450\n\nlayout (location = 0) in vec2 inPos;\nlayout (location = 1) in vec2 inUV;\nlayout (location = 2) in vec4 inColor;\n\nlayout (push_constant) uniform PushConstants {\n    mat4 transform;\n} pushConstants;\n\nlayout (location = 0) out vec2 outUV;\nlayout (location = 1) out vec4 outColor;\n\nout gl_PerVertex\n{\n    vec4 gl_Position;\n};\n\nvoid main()\n{\n    outUV = inUV;\n    outColor = inColor;\n    gl_Position = pushConstants.transform * vec4(inPos.xy, 0.0, 1.0);\n}\n"
  },
  {
    "path": "vkoo/shaders/offscreen.vert",
    "content": "#version 450\n\nlayout (location = 0) out vec2 out_tex_coord;\n\nvoid main()\n{\n    out_tex_coord = vec2((gl_VertexIndex << 1) & 2, gl_VertexIndex & 2);\n\n    gl_Position = vec4(out_tex_coord * 2.0f - 1.0f, 0.0f, 1.0f);\n}\n"
  },
  {
    "path": "vkoo/shaders/postprocessing.frag",
    "content": "#version 450\n\nlayout(location = 0) in vec2 in_uv;\nlayout(location = 0) out vec4 o_color;\n\nlayout(set = 0, binding = 0) uniform sampler2D input_tex;\n\nvoid main()\n{\n    o_color = texture(input_tex, in_uv);\n}\n"
  },
  {
    "path": "vkoo/shaders/recompile.sh",
    "content": "glslangValidator -V -o forward_vert.spv forward.vert\nglslangValidator -V -o forward_frag.spv forward.frag\nglslangValidator -V -o deferred_geometry_vert.spv deferred_geometry.vert\nglslangValidator -V -o deferred_geometry_frag.spv deferred_geometry.frag\nglslangValidator -V -o offscreen_vert.spv offscreen.vert\nglslangValidator -V -o deferred_lighting_frag.spv deferred_lighting.frag\nglslangValidator -V -o deferred_transparent_frag.spv deferred_transparent.frag\nglslangValidator -V -o deferred_ssao_frag.spv deferred_ssao.frag\nglslangValidator -V -o imgui_vert.spv imgui.vert\nglslangValidator -V -o imgui_frag.spv imgui.frag\n"
  },
  {
    "path": "vkoo/src/ObjParser.cpp",
    "content": "#include \"vkoo/ObjParser.h\"\n\n#include \"vkoo/utils.h\"\n\nnamespace vkoo {\nParsedData ObjParser::Parse(const std::string& file_path, bool& success) {\n  success = false;\n  std::fstream fs(file_path);\n  if (!fs) {\n    std::cerr << \"ERROR: Unable to open OBJ file \" + file_path + \"!\"\n              << std::endl;\n    return {};\n  }\n\n  ParsedData data;\n\n  MeshGroup current_group;\n  std::string line;\n  while (std::getline(fs, line)) {\n    std::stringstream ss(line);\n    std::string command;\n    ss >> command;\n    if (command == \"#\" || command == \"\") {\n      continue;\n    } else if (command == \"v\") {\n      glm::vec3 p;\n      ss >> p.x >> p.y >> p.z;\n      if (data.positions == nullptr)\n        data.positions = std::make_unique<std::vector<glm::vec3>>();\n      data.positions->emplace_back(std::move(p));\n    } else if (command == \"vn\") {\n      glm::vec3 n;\n      ss >> n.x >> n.y >> n.z;\n      if (data.normals == nullptr)\n        data.normals = std::make_unique<std::vector<glm::vec3>>();\n      data.normals->emplace_back(std::move(n));\n    } else if (command == \"vt\") {\n      glm::vec2 uv;\n      ss >> uv.s >> uv.t;\n      if (data.tex_coords == nullptr)\n        data.tex_coords = std::make_unique<std::vector<glm::vec2>>();\n      data.tex_coords->emplace_back(std::move(uv));\n    } else if (command == \"f\") {\n      if (data.indices == nullptr)\n        data.indices = std::make_unique<std::vector<uint32_t>>();\n      for (int t = 0; t < 3; t++) {\n        std::string str;\n        ss >> str;\n        unsigned int idx;\n        if (str.find('/') == std::string::npos) {\n          idx = std::stoul(str);\n        } else {\n          idx = std::stoul(Split(str, '/')[0]);\n        }\n        // Minus 1 because OBJ indices start with 1.\n        data.indices->push_back(idx - 1);\n      }\n    } else if (command == \"g\") {\n      if (current_group.name != \"\") {\n        current_group.num_indices =\n            data.indices->size() - current_group.start_face_index;\n        data.groups.push_back(std::move(current_group));\n      }\n      ss >> current_group.name;\n      if (data.indices == nullptr)\n        current_group.start_face_index = 0;\n      else\n        current_group.start_face_index = data.indices->size();\n    } else if (command == \"usemtl\") {\n      ss >> current_group.material_name;\n    } else if (command == \"mtllib\") {\n      std::string mtl_file;\n      ss >> mtl_file;\n      // TODO: parse material.\n    } else if (command == \"o\" || command == \"s\") {\n      std::cout << \"Skipped command: \" << command << std::endl;\n    } else {\n      std::cerr << \"Unknown obj command: \" << command << std::endl;\n      success = false;\n      continue;\n    }\n  }\n\n  if (current_group.name != \"\") {\n    current_group.num_indices =\n        data.indices->size() - current_group.start_face_index;\n    data.groups.push_back(std::move(current_group));\n  }\n\n  success = true;\n  return data;\n}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/common.cpp",
    "content": "#include \"vkoo/common.h\"\n\nnamespace vkoo {\nstd::string GetErrorString(VkResult error_code) {\n  switch (error_code) {\n#define STR(r) \\\n  case VK_##r: \\\n    return #r\n    STR(NOT_READY);\n    STR(TIMEOUT);\n    STR(EVENT_SET);\n    STR(EVENT_RESET);\n    STR(INCOMPLETE);\n    STR(ERROR_OUT_OF_HOST_MEMORY);\n    STR(ERROR_OUT_OF_DEVICE_MEMORY);\n    STR(ERROR_INITIALIZATION_FAILED);\n    STR(ERROR_DEVICE_LOST);\n    STR(ERROR_MEMORY_MAP_FAILED);\n    STR(ERROR_LAYER_NOT_PRESENT);\n    STR(ERROR_EXTENSION_NOT_PRESENT);\n    STR(ERROR_FEATURE_NOT_PRESENT);\n    STR(ERROR_INCOMPATIBLE_DRIVER);\n    STR(ERROR_TOO_MANY_OBJECTS);\n    STR(ERROR_FORMAT_NOT_SUPPORTED);\n    STR(ERROR_SURFACE_LOST_KHR);\n    STR(ERROR_NATIVE_WINDOW_IN_USE_KHR);\n    STR(SUBOPTIMAL_KHR);\n    STR(ERROR_OUT_OF_DATE_KHR);\n    STR(ERROR_INCOMPATIBLE_DISPLAY_KHR);\n    STR(ERROR_VALIDATION_FAILED_EXT);\n    STR(ERROR_INVALID_SHADER_NV);\n#undef STR\n    default:\n      return \"UNKNOWN_ERROR\";\n  }\n}\n\nbool IsDepthOnlyFormat(VkFormat format) {\n  return format == VK_FORMAT_D16_UNORM || format == VK_FORMAT_D32_SFLOAT;\n}\n\nbool IsDepthStencilFormat(VkFormat format) {\n  return format == VK_FORMAT_D16_UNORM_S8_UINT ||\n         format == VK_FORMAT_D24_UNORM_S8_UINT ||\n         format == VK_FORMAT_D32_SFLOAT_S8_UINT || IsDepthOnlyFormat(format);\n}\n\nVkFormat GetSuitableDepthFormat(\n    VkPhysicalDevice physical_device, bool depth_only,\n    const std::vector<VkFormat>& depth_format_priority_list) {\n  VkFormat depth_format{VK_FORMAT_UNDEFINED};\n\n  for (auto& format : depth_format_priority_list) {\n    if (depth_only && !IsDepthOnlyFormat(format)) {\n      continue;\n    }\n\n    VkFormatProperties properties;\n    vkGetPhysicalDeviceFormatProperties(physical_device, format, &properties);\n\n    // Format must support depth stencil attachment for optimal tiling.\n    if (properties.optimalTilingFeatures &\n        VK_FORMAT_FEATURE_DEPTH_STENCIL_ATTACHMENT_BIT) {\n      depth_format = format;\n      break;\n    }\n  }\n\n  if (depth_format != VK_FORMAT_UNDEFINED) {\n    return depth_format;\n  }\n\n  throw std::runtime_error(\"No suitable depth format could be determined\");\n}\n\n}  // namespace vkoo"
  },
  {
    "path": "vkoo/src/core/Application.cpp",
    "content": "#include \"vkoo/core/Application.h\"\n\n#include \"vkoo/core/Gui.h\"\n#include \"vkoo/logging.h\"\n#include \"vkoo/st/components/Script.h\"\n\nnamespace vkoo {\nApplication::Application(bool enable_validation_layer)\n    : enable_validation_layer_(enable_validation_layer) {}\n\nvoid Application::PrepareWindow() {\n  glfwInit();\n\n  glfwWindowHint(GLFW_CLIENT_API, GLFW_NO_API);\n\n  window_ = glfwCreateWindow(starter_width_, starter_height_, name_.c_str(),\n                             nullptr, nullptr);\n  glfwSetWindowUserPointer(window_, this);\n\n  // Register a bunch of callbacks.\n  glfwSetFramebufferSizeCallback(\n      window_, +[](GLFWwindow* window, int width, int height) {\n        static_cast<Application*>(glfwGetWindowUserPointer(window))\n            ->FramebufferSizeCallback(width, height);\n      });\n  glfwSetCursorPosCallback(\n      window_, +[](GLFWwindow* window, double xpos, double ypos) {\n        static_cast<Application*>(glfwGetWindowUserPointer(window))\n            ->CursorPositionCallback(static_cast<float>(xpos),\n                                     static_cast<float>(ypos));\n      });\n  glfwSetMouseButtonCallback(\n      window_, +[](GLFWwindow* window, int button, int action, int /*modes*/) {\n        double xpos, ypos;\n        glfwGetCursorPos(window, &xpos, &ypos);\n        static_cast<Application*>(glfwGetWindowUserPointer(window))\n            ->MouseButtonCallback(button, action, static_cast<float>(xpos),\n                                  static_cast<float>(ypos));\n      });\n  glfwSetScrollCallback(\n      window_, +[](GLFWwindow* window, double x_offset, double y_offset) {\n        static_cast<Application*>(glfwGetWindowUserPointer(window))\n            ->ScrollCallback(static_cast<float>(x_offset),\n                             static_cast<float>(y_offset));\n      });\n  glfwSetCharCallback(\n      window_, +[](GLFWwindow* window, unsigned int codepoint) {\n        static_cast<Application*>(glfwGetWindowUserPointer(window))\n            ->CharCallback(codepoint);\n      });\n  glfwSetKeyCallback(\n      window_, +[](GLFWwindow* window, int key, int /*scancode*/, int action,\n                   int /*mods*/) {\n        static_cast<Application*>(glfwGetWindowUserPointer(window))\n            ->KeyCallback(key, action);\n      });\n}\n\nvoid Application::ChangeWindowSize(uint32_t new_width, uint32_t new_height) {\n  assert(window_);\n  glfwSetWindowSize(window_, new_width, new_height);\n}\n\nvoid Application::Prepare() {\n  PrepareWindow();\n\n  uint32_t glfw_extension_count = 0;\n  const char** glfw_extensions =\n      glfwGetRequiredInstanceExtensions(&glfw_extension_count);\n\n  std::vector<const char*> instance_extensions(\n      glfw_extensions, glfw_extensions + glfw_extension_count);\n  instance_extensions.push_back(\n      VK_KHR_GET_PHYSICAL_DEVICE_PROPERTIES_2_EXTENSION_NAME);  // to get depth\n                                                                // resolve mode\n\n  instance_ = std::make_unique<Instance>(name_, instance_extensions,\n                                         enable_validation_layer_);\n\n  CreateSurface();\n\n  auto& gpu = instance_->GetSuitableGPU();\n\n  const std::vector<const char*> kDeviceExtensions = {\n      VK_KHR_SWAPCHAIN_EXTENSION_NAME,\n      VK_KHR_DEPTH_STENCIL_RESOLVE_EXTENSION_NAME,\n      VK_KHR_CREATE_RENDERPASS_2_EXTENSION_NAME,\n      VK_KHR_MAINTENANCE2_EXTENSION_NAME, VK_KHR_MULTIVIEW_EXTENSION_NAME};\n  device_ = std::make_unique<Device>(gpu, surface_, kDeviceExtensions);\n\n  render_context_ = std::make_unique<RenderContext>(\n      *device_, surface_, starter_width_, starter_height_);\n  PrepareRenderContext();\n}\n\nvoid Application::PrepareRenderContext() { render_context_->Prepare(); }\n\nvoid Application::CreateSurface() {\n  VK_CHECK(glfwCreateWindowSurface(instance_->GetHandle(), window_, nullptr,\n                                   &surface_));\n}\n\nvoid Application::Update(float delta_time) {\n  UpdateScene(delta_time);\n\n  UpdateGui(delta_time);\n\n  CommandBuffer& command_buffer = render_context_->Begin();\n  command_buffer.Begin(VK_COMMAND_BUFFER_USAGE_ONE_TIME_SUBMIT_BIT);\n  Draw(command_buffer, render_context_->GetActiveFrame().GetRenderTarget());\n  command_buffer.End();\n  render_context_->Submit(command_buffer);\n}\n\nvoid Application::UpdateScene(float delta_time) {\n  if (scene_) {\n    auto scripts = scene_->GetRoot().GetComponentsRecursive<st::Script>();\n    for (auto script : scripts) {\n      script->Update(delta_time);\n    }\n  }\n}\n\nvoid Application::Draw(CommandBuffer& command_buffer,\n                       RenderTarget& render_target) {\n  DrawRenderPasses(command_buffer, render_target);\n}\n\nvoid Application::SetViewPortAndScissor(CommandBuffer& command_buffer,\n                                        const VkExtent2D& extent) const {\n  VkViewport viewport{};\n  viewport.width = static_cast<float>(extent.width);\n  viewport.height = static_cast<float>(extent.height);\n  viewport.minDepth = 0.0f;\n  viewport.maxDepth = 1.0f;\n  command_buffer.SetViewport(0, {viewport});\n\n  VkRect2D scissor{};\n  scissor.extent = extent;\n  command_buffer.SetScissor(0, {scissor});\n}\n\nApplication::~Application() {\n  if (device_) {\n    device_->WaitIdle();\n  }\n  scene_.reset();\n  gui_.reset();\n\n  render_context_.reset();\n  device_.reset();\n  if (surface_ != VK_NULL_HANDLE) {\n    vkDestroySurfaceKHR(instance_->GetHandle(), surface_, nullptr);\n  }\n  instance_.reset();\n\n  glfwDestroyWindow(window_);\n  glfwTerminate();\n}\n\nvoid Application::MainLoop() {\n  using Clock = std::chrono::high_resolution_clock;\n  using TimePoint =\n      std::chrono::time_point<Clock, std::chrono::duration<double>>;\n  TimePoint last_tick_time = Clock::now();\n  while (!glfwWindowShouldClose(window_)) {\n    glfwPollEvents();\n    TimePoint current_tick_time = Clock::now();\n    double delta_time = (current_tick_time - last_tick_time).count();\n    last_tick_time = current_tick_time;\n\n    Update(delta_time);\n  }\n}\n\nvoid Application::FramebufferSizeCallback(int width, int height) {\n  if (gui_) {\n    gui_->Resize(width, height);\n  }\n\n  if (scene_) {\n    auto scripts = scene_->GetRoot().GetComponentsRecursive<st::Script>();\n    for (auto script : scripts) {\n      script->OnWindowResize(static_cast<uint32_t>(width),\n                             static_cast<uint32_t>(height));\n    }\n  }\n}\n\nvoid Application::UpdateGui(float delta_time) {\n  if (gui_) {\n    gui_->NewFrame();\n    DrawGui();\n    gui_->Update(delta_time);\n  }\n}\n\nvoid Application::CursorPositionCallback(float x_pos, float y_pos) {\n  HandleInputEvent(MouseButtonInputEvent{MouseButton::Unknown,\n                                         MouseAction::Move, x_pos, y_pos});\n}\n\nvoid Application::MouseButtonCallback(int button, int action, float x_pos,\n                                      float y_pos) {\n  MouseButton translated_button;\n  if (button == GLFW_MOUSE_BUTTON_LEFT) {\n    translated_button = MouseButton::Left;\n  } else if (button == GLFW_MOUSE_BUTTON_RIGHT) {\n    translated_button = MouseButton::Right;\n  } else if (button == GLFW_MOUSE_BUTTON_MIDDLE) {\n    translated_button = MouseButton::Middle;\n  } else {\n    translated_button = MouseButton::Unknown;\n  }\n\n  MouseAction translated_action;\n  if (action == GLFW_PRESS) {\n    translated_action = MouseAction::Down;\n  } else if (action == GLFW_RELEASE) {\n    translated_action = MouseAction::Up;\n  } else {\n    translated_action = MouseAction::Unknown;\n  }\n\n  HandleInputEvent(MouseButtonInputEvent{translated_button, translated_action,\n                                         x_pos, y_pos});\n}\n\nvoid Application::KeyCallback(int key, int action) {\n  KeyAction translated_action;\n  if (action == GLFW_PRESS) {\n    translated_action = KeyAction::Down;\n  } else if (action == GLFW_RELEASE) {\n    translated_action = KeyAction::Up;\n  } else if (action == GLFW_REPEAT) {\n    translated_action = KeyAction::Repeat;\n  } else {\n    translated_action = KeyAction::Unknown;\n  }\n\n  HandleInputEvent(KeyInputEvent{key, translated_action});\n}\n\nvoid Application::CharCallback(unsigned int codepoint) {\n  if (gui_) {\n    gui_->HandleCharCallback(codepoint);\n  }\n}\n\nvoid Application::ScrollCallback(double x_offset, double y_offset) {\n  HandleInputEvent(ScrollInputEvent{x_offset, y_offset});\n}\n\nvoid Application::HandleInputEvent(const InputEvent& event) {\n  bool captured_by_gui = false;\n  if (gui_) {\n    captured_by_gui = gui_->HandleInputEvent(event);\n  }\n  if (!captured_by_gui && scene_) {\n    auto scripts = scene_->GetRoot().GetComponentsRecursive<st::Script>();\n    for (auto script : scripts) {\n      script->HandleInputEvent(event);\n    }\n  }\n}\n\nbool Application::IsKeyPressed(int key) {\n  return glfwGetKey(window_, key) == GLFW_PRESS;\n}\nvoid Application::GetMousePosition(float& x_pos, float& y_pos) {\n  double x_pos_d;\n  double y_pos_d;\n  glfwGetCursorPos(window_, &x_pos_d, &y_pos_d);\n  x_pos = static_cast<float>(x_pos_d);\n  y_pos = static_cast<float>(y_pos_d);\n}\n\nDevice& Application::GetDevice() {\n  assert(device_ != nullptr);\n  return *device_;\n}\n\nst::Scene& Application::GetScene() {\n  assert(scene_ != nullptr);\n  return *scene_;\n}\n\nfloat Application::GetContentScaleFactor() const {\n  int fb_width, fb_height;\n  glfwGetFramebufferSize(window_, &fb_width, &fb_height);\n  int win_width, win_height;\n  glfwGetWindowSize(window_, &win_width, &win_height);\n\n  return static_cast<float>(fb_width) / win_width;\n}\n\nfloat Application::GetDpiFactor() const {\n  auto primary_monitor = glfwGetPrimaryMonitor();\n  auto vidmode = glfwGetVideoMode(primary_monitor);\n\n  int width_mm, height_mm;\n  glfwGetMonitorPhysicalSize(primary_monitor, &width_mm, &height_mm);\n\n  static const float inch_to_mm = 25.0f;\n  static const float win_base_density = 96.0f;\n\n  auto dpi = static_cast<uint32_t>(vidmode->width / (width_mm / inch_to_mm));\n  auto dpi_factor = dpi / win_base_density;\n\n  return dpi_factor;\n}\n\nvoid Application::GetWindowSize(uint32_t& width, uint32_t& height) {\n  VkExtent2D extent = render_context_->GetSurfaceExtent();\n  width = extent.width;\n  height = extent.height;\n}\n\nfloat Application::GetWindowAspectRatio() {\n  uint32_t width;\n  uint32_t height;\n  GetWindowSize(width, height);\n  return static_cast<float>(width) / static_cast<float>(height);\n}\n\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/Buffer.cpp",
    "content": "#include \"vkoo/core/Buffer.h\"\n\n#include \"vkoo/core/Device.h\"\n#include \"vkoo/utils.h\"\n\nnamespace vkoo {\nnamespace core {\nBuffer::Buffer(Device& device, VkDeviceSize size, VkBufferUsageFlags usage,\n               VkMemoryPropertyFlags properties)\n    : device_(device), size_(size), mapped_data_{nullptr}, mapped_(false) {\n  VkBufferCreateInfo buffer_info{};\n  buffer_info.sType = VK_STRUCTURE_TYPE_BUFFER_CREATE_INFO;\n  buffer_info.size = size;\n  buffer_info.usage = usage;\n  buffer_info.sharingMode = VK_SHARING_MODE_EXCLUSIVE;\n\n  VK_CHECK(\n      vkCreateBuffer(device_.GetHandle(), &buffer_info, nullptr, &handle_));\n\n  VkMemoryRequirements mem_requirements;\n  vkGetBufferMemoryRequirements(device_.GetHandle(), handle_,\n                                &mem_requirements);\n\n  VkMemoryAllocateInfo alloc_info{};\n  alloc_info.sType = VK_STRUCTURE_TYPE_MEMORY_ALLOCATE_INFO;\n  alloc_info.allocationSize = mem_requirements.size;\n  alloc_info.memoryTypeIndex =\n      FindMemoryType(device_, mem_requirements.memoryTypeBits, properties);\n\n  VK_CHECK(\n      vkAllocateMemory(device_.GetHandle(), &alloc_info, nullptr, &memory_));\n\n  VK_CHECK(vkBindBufferMemory(device_.GetHandle(), handle_, memory_, 0));\n}\n\nBuffer::~Buffer() {\n  if (handle_ != VK_NULL_HANDLE) {\n    vkDestroyBuffer(device_.GetHandle(), handle_, nullptr);\n  }\n  if (memory_ != VK_NULL_HANDLE) {\n    vkFreeMemory(device_.GetHandle(), memory_, nullptr);\n  }\n}\n\nuint8_t* Buffer::Map() {\n  if (!mapped_ && !mapped_data_) {\n    vkMapMemory(device_.GetHandle(), memory_, 0, size_, 0,\n                reinterpret_cast<void**>(&mapped_data_));\n    mapped_ = true;\n  }\n  return mapped_data_;\n}\n\nvoid Buffer::Unmap() {\n  if (mapped_) {\n    vkUnmapMemory(device_.GetHandle(), memory_);\n    mapped_data_ = nullptr;\n    mapped_ = false;\n  }\n}\n\nvoid Buffer::Update(const std::vector<uint8_t>& data, size_t offset) {\n  Update(data.data(), data.size(), offset);\n}\n\nvoid Buffer::Update(const uint8_t* data, size_t size, size_t offset) {\n  Map();\n  std::copy(data, data + size, mapped_data_ + offset);\n  Unmap();\n}\n\nBuffer::Buffer(Buffer&& other)\n    : device_{other.device_},\n      size_{other.size_},\n      handle_{other.handle_},\n      memory_{other.memory_},\n      mapped_data_{other.mapped_data_},\n      mapped_{other.mapped_} {\n  other.handle_ = VK_NULL_HANDLE;\n  other.memory_ = VK_NULL_HANDLE;\n  other.mapped_data_ = nullptr;\n  other.mapped_ = false;\n}\n\n}  // namespace core\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/BufferPool.cpp",
    "content": "#include \"vkoo/core/BufferPool.h\"\n\n#include \"vkoo/core/Device.h\"\n\nnamespace vkoo {\n\nBufferPool::BufferPool(Device& device, VkBufferUsageFlags usage,\n                       VkMemoryPropertyFlags memory_properties)\n    : device_{device}, usage_{usage}, memory_properties_{memory_properties} {}\n\ncore::Buffer& BufferPool::RequestBuffer(VkDeviceSize size) {\n  buffers_.emplace_back(std::make_unique<core::Buffer>(device_, size, usage_,\n                                                       memory_properties_));\n  return *buffers_.back();\n}\n\nvoid BufferPool::Reset() { buffers_.clear(); }\n\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/CommandBuffer.cpp",
    "content": "#include \"vkoo/core/CommandBuffer.h\"\n\n#include \"vkoo/core/CommandPool.h\"\n#include \"vkoo/core/Device.h\"\n#include \"vkoo/core/Subpass.h\"\n#include \"vkoo/logging.h\"\n\nnamespace vkoo {\nCommandBuffer::CommandBuffer(CommandPool& command_pool)\n    : command_pool_{command_pool},\n      handle_{VK_NULL_HANDLE},\n      max_push_constants_size_{command_pool.GetDevice()\n                                   .GetGPU()\n                                   .GetProperties()\n                                   .limits.maxPushConstantsSize} {\n  VkCommandBufferAllocateInfo allocate_info{\n      VK_STRUCTURE_TYPE_COMMAND_BUFFER_ALLOCATE_INFO};\n\n  allocate_info.commandPool = command_pool_.GetHandle();\n  allocate_info.commandBufferCount = 1;\n  allocate_info.level = VK_COMMAND_BUFFER_LEVEL_PRIMARY;\n\n  VK_CHECK(vkAllocateCommandBuffers(command_pool_.GetDevice().GetHandle(),\n                                    &allocate_info, &handle_));\n}\n\nCommandBuffer::~CommandBuffer() {\n  if (handle_ != VK_NULL_HANDLE) {\n    vkFreeCommandBuffers(command_pool_.GetDevice().GetHandle(),\n                         command_pool_.GetHandle(), 1, &handle_);\n  }\n}\n\nvoid CommandBuffer::Reset() {\n  pipeline_state_.Reset();\n  resource_binding_state_.Reset();\n  stored_push_constants_.clear();\n}\n\nvoid CommandBuffer::Begin(VkCommandBufferUsageFlags flags) {\n  // Note: command buffer might already have some resources when requested from\n  // the pool.\n  pipeline_state_.Reset();\n  resource_binding_state_.Reset();\n  stored_push_constants_.clear();\n\n  VkCommandBufferBeginInfo begin_info{\n      VK_STRUCTURE_TYPE_COMMAND_BUFFER_BEGIN_INFO};\n  begin_info.flags = flags;\n  VK_CHECK(vkBeginCommandBuffer(GetHandle(), &begin_info));\n}\n\nvoid CommandBuffer::End() { VK_CHECK(vkEndCommandBuffer(GetHandle())); }\n\nvoid CommandBuffer::SetViewport(uint32_t first_viewport,\n                                const std::vector<VkViewport>& viewports) {\n  vkCmdSetViewport(GetHandle(), first_viewport,\n                   static_cast<uint32_t>(viewports.size()), viewports.data());\n}\n\nvoid CommandBuffer::SetScissor(uint32_t first_scissor,\n                               const std::vector<VkRect2D>& scissors) {\n  vkCmdSetScissor(GetHandle(), first_scissor,\n                  static_cast<uint32_t>(scissors.size()), scissors.data());\n}\n\nvoid CommandBuffer::BeginRenderPass(\n    const VkExtent2D& extent, const std::vector<VkImageView>& attachments,\n    const std::vector<VkAttachmentDescription2KHR>& attachment_descriptions,\n    const std::vector<VkClearValue>& clear_values,\n    const std::vector<std::unique_ptr<Subpass>>& subpasses,\n    const std::vector<VkSubpassDependency2KHR>& dependencies,\n    VkSubpassContents contents) {\n  assert(attachments.size() == attachment_descriptions.size() &&\n         attachments.size() == clear_values.size());\n  RenderPass& render_pass =\n      GetRenderPass(attachment_descriptions, subpasses, dependencies);\n  Framebuffer& framebuffer = GetDevice().GetResourceCache().RequestFramebuffer(\n      extent, attachments, render_pass);\n  BeginRenderPass(extent, render_pass, framebuffer, clear_values, contents);\n}\n\nvoid CommandBuffer::BeginRenderPass(\n    const VkExtent2D& extent, const RenderPass& render_pass,\n    const Framebuffer& framebuffer,\n    const std::vector<VkClearValue>& clear_values, VkSubpassContents contents) {\n  current_render_pass_.render_pass = &render_pass;\n  current_render_pass_.framebuffer = &framebuffer;\n\n  VkRenderPassBeginInfo begin_info{VK_STRUCTURE_TYPE_RENDER_PASS_BEGIN_INFO};\n  begin_info.renderPass = current_render_pass_.render_pass->GetHandle();\n  begin_info.framebuffer = current_render_pass_.framebuffer->GetHandle();\n  begin_info.renderArea.extent = extent;\n  begin_info.clearValueCount = static_cast<uint32_t>(clear_values.size());\n  begin_info.pClearValues = clear_values.data();\n\n  vkCmdBeginRenderPass(GetHandle(), &begin_info, contents);\n\n  // Update blend state attachments for first subpass.\n  auto blend_state = pipeline_state_.GetColorBlendState();\n  blend_state.attachments.resize(\n      current_render_pass_.render_pass->GetColorOutputCount(\n          pipeline_state_.GetSubpassIndex()));\n  pipeline_state_.SetColorBlendState(blend_state);\n}\n\nvoid CommandBuffer::EndRenderPass() { vkCmdEndRenderPass(GetHandle()); }\n\nRenderPass& CommandBuffer::GetRenderPass(\n    const std::vector<VkAttachmentDescription2KHR>& attachment_descriptions,\n    const std::vector<std::unique_ptr<Subpass>>& subpasses,\n    const std::vector<VkSubpassDependency2KHR>& dependencies) {\n  assert(subpasses.size() > 0 &&\n         \"Cannot create a render pass without any subpass\");\n\n  std::vector<SubpassInfo> subpass_infos;\n  for (auto& subpass : subpasses) {\n    SubpassInfo info{};\n    info.input_attachments = subpass->GetInputAttachments();\n    info.output_attachments = subpass->GetOutputAttachments();\n    info.color_resolve_attachments = subpass->GetColorResolveAttachments();\n    info.depth_stencil_resolve_attachment =\n        subpass->GetDepthStencilResolveAttachment();\n    info.depth_stencil_resolve_mode = subpass->GetDepthStencilResolveMode();\n    info.disable_depth_stencil_attachment =\n        subpass->IsDisableDepthStencilAttachment();\n    subpass_infos.push_back(info);\n  }\n\n  return GetDevice().GetResourceCache().RequestRenderPass(\n      attachment_descriptions, subpass_infos, dependencies);\n}\n\nDevice& CommandBuffer::GetDevice() { return command_pool_.GetDevice(); }\n\nvoid CommandBuffer::SetRasterizationState(const RasterizationState& state) {\n  pipeline_state_.SetRasterizationState(state);\n}\n\nvoid CommandBuffer::SetMultisampleState(const MultisampleState& state) {\n  pipeline_state_.SetMultisampleState(state);\n}\n\nvoid CommandBuffer::SetInputAssemblyState(const InputAssemblyState& state) {\n  pipeline_state_.SetInputAssemblyState(state);\n}\n\nvoid CommandBuffer::SetVertexInputState(const VertexInputState& state) {\n  pipeline_state_.SetVertexInputState(state);\n}\n\nvoid CommandBuffer::SetColorBlendState(const ColorBlendState& state) {\n  pipeline_state_.SetColorBlendState(state);\n}\n\nvoid CommandBuffer::SetDepthStencilState(const DepthStencilState& state) {\n  pipeline_state_.SetDepthStencilState(state);\n}\n\nvoid CommandBuffer::BindPipelineLayout(PipelineLayout& pipeline_layout) {\n  pipeline_state_.SetPipelineLayout(&pipeline_layout);\n}\n\nvoid CommandBuffer::BindVertexBuffers(\n    uint32_t first_binding, const std::vector<core::Buffer*>& buffers,\n    const std::vector<VkDeviceSize>& offsets) {\n  std::vector<VkBuffer> buffer_handles(buffers.size(), VK_NULL_HANDLE);\n  std::transform(\n      buffers.begin(), buffers.end(), buffer_handles.begin(),\n      [](const core::Buffer* buffer) { return buffer->GetHandle(); });\n  vkCmdBindVertexBuffers(handle_, first_binding,\n                         static_cast<uint32_t>(buffer_handles.size()),\n                         buffer_handles.data(), offsets.data());\n}\n\nvoid CommandBuffer::BindIndexBuffer(const core::Buffer& buffer,\n                                    VkDeviceSize offset,\n                                    VkIndexType index_type) {\n  vkCmdBindIndexBuffer(handle_, buffer.GetHandle(), offset, index_type);\n}\n\nvoid CommandBuffer::Draw(uint32_t vertex_count, uint32_t instance_count,\n                         uint32_t first_vertex, uint32_t first_instance) {\n  Flush(VK_PIPELINE_BIND_POINT_GRAPHICS);\n\n  vkCmdDraw(handle_, vertex_count, instance_count, first_vertex,\n            first_instance);\n}\n\nvoid CommandBuffer::DrawIndexed(uint32_t index_count, uint32_t instance_count,\n                                uint32_t first_index, int32_t vertex_offset,\n                                uint32_t first_instance) {\n  Flush(VK_PIPELINE_BIND_POINT_GRAPHICS);\n\n  vkCmdDrawIndexed(handle_, index_count, instance_count, first_index,\n                   vertex_offset, first_instance);\n}\n\nvoid CommandBuffer::Flush(VkPipelineBindPoint pipeline_bind_point) {\n  // This is where pipeline and descriptor sets are created in a lazy manner.\n  FlushPipelineState(pipeline_bind_point);\n  FlushPushConstants();\n  FlushDescriptorState(pipeline_bind_point);\n}\n\nvoid CommandBuffer::FlushPipelineState(\n    VkPipelineBindPoint pipeline_bind_point) {\n  // TODO: lazy flush.\n  assert(pipeline_bind_point == VK_PIPELINE_BIND_POINT_GRAPHICS);\n  pipeline_state_.SetRenderPass(current_render_pass_.render_pass);\n  GraphicsPipeline& pipeline =\n      GetDevice().GetResourceCache().RequestGraphicsPipeline(pipeline_state_);\n  vkCmdBindPipeline(handle_, pipeline_bind_point, pipeline.GetHandle());\n}\n\nvoid CommandBuffer::FlushDescriptorState(\n    VkPipelineBindPoint pipeline_bind_point) {\n  assert(command_pool_.GetRenderFrame() &&\n         \"The command pool must be associated to a render frame\");\n\n  const PipelineLayout& pipeline_layout = *pipeline_state_.GetPipelineLayout();\n\n  // TODO: for now we just recreate the descriptor set every time.\n  for (auto& resource_set_kv : resource_binding_state_.GetResourceSets()) {\n    uint32_t descriptor_set_id = resource_set_kv.first;\n    const ResourceSet& resource_set = resource_set_kv.second;\n\n    // Skip resource set if a descriptor set layout doesn't exist for it.\n    if (!pipeline_layout.HasDescriptorSetLayout(descriptor_set_id)) {\n      continue;\n    }\n\n    DescriptorSetLayout& descriptor_set_layout =\n        pipeline_layout.GetDescriptorSetLayout(descriptor_set_id);\n\n    BindingMap<VkDescriptorBufferInfo> buffer_infos;\n    BindingMap<VkDescriptorImageInfo> image_infos;\n    // Iterate over all resource bindings.\n    for (auto& binding_kv : resource_set.GetResourceBindings()) {\n      uint32_t binding_index = binding_kv.first;\n      auto& binding_resources = binding_kv.second;\n\n      // Check if binding exists in the pipeline layout.\n      if (auto binding_info =\n              descriptor_set_layout.GetLayoutBinding(binding_index)) {\n        // Iterate over all binding resources.\n        for (auto& element_it : binding_resources) {\n          uint32_t array_element = element_it.first;\n          const ResourceInfo& resource_info = element_it.second;\n\n          const core::Buffer* buffer = resource_info.buffer;\n          const core::Sampler* sampler = resource_info.sampler;\n          const core::ImageView* image_view = resource_info.image_view;\n          if (buffer != nullptr) {\n            assert(binding_info->descriptorType ==\n                   VK_DESCRIPTOR_TYPE_UNIFORM_BUFFER);\n            VkDescriptorBufferInfo buffer_info{};\n\n            buffer_info.buffer = resource_info.buffer->GetHandle();\n            buffer_info.offset = resource_info.offset;\n            buffer_info.range = resource_info.range;\n\n            buffer_infos[binding_index][array_element] = buffer_info;\n          } else if (image_view != nullptr) {\n            VkDescriptorImageInfo image_info{};\n            image_info.sampler =\n                sampler ? sampler->GetHandle() : VK_NULL_HANDLE;\n            image_info.imageView = image_view->GetHandle();\n            switch (binding_info->descriptorType) {\n              case VK_DESCRIPTOR_TYPE_COMBINED_IMAGE_SAMPLER:\n                // image_info.imageLayout =\n                //    VK_IMAGE_LAYOUT_SHADER_READ_ONLY_OPTIMAL;\n                if (IsDepthStencilFormat(image_view->GetFormat())) {\n                  image_info.imageLayout =\n                      VK_IMAGE_LAYOUT_DEPTH_STENCIL_READ_ONLY_OPTIMAL;\n                } else {\n                  image_info.imageLayout =\n                      VK_IMAGE_LAYOUT_SHADER_READ_ONLY_OPTIMAL;\n                }\n                break;\n              case VK_DESCRIPTOR_TYPE_INPUT_ATTACHMENT:\n                if (IsDepthStencilFormat(image_view->GetFormat())) {\n                  image_info.imageLayout =\n                      VK_IMAGE_LAYOUT_DEPTH_STENCIL_READ_ONLY_OPTIMAL;\n                } else {\n                  image_info.imageLayout =\n                      VK_IMAGE_LAYOUT_SHADER_READ_ONLY_OPTIMAL;\n                }\n                break;\n              case VK_DESCRIPTOR_TYPE_STORAGE_IMAGE:\n                image_info.imageLayout = VK_IMAGE_LAYOUT_GENERAL;\n                break;\n\n              default:\n                continue;\n            }\n            image_infos[binding_index][array_element] = image_info;\n          } else {\n            throw std::runtime_error(\n                fmt::format(\"No resource is bound to {}!\", binding_index));\n          }\n        }\n      }\n    }\n\n    DescriptorSet& descriptor_set =\n        command_pool_.GetRenderFrame()->RequestDescriptorSet(\n            descriptor_set_layout, buffer_infos, image_infos);\n    descriptor_set.Update();\n\n    VkDescriptorSet descriptor_set_handle = descriptor_set.GetHandle();\n\n    vkCmdBindDescriptorSets(handle_, pipeline_bind_point,\n                            pipeline_layout.GetHandle(), descriptor_set_id, 1,\n                            &descriptor_set_handle, 0, nullptr);\n  }\n}\n\nvoid CommandBuffer::BindBuffer(const core::Buffer& buffer, VkDeviceSize offset,\n                               VkDeviceSize range, uint32_t set,\n                               uint32_t binding, uint32_t array_element) {\n  resource_binding_state_.BindBuffer(buffer, offset, range, set, binding,\n                                     array_element);\n}\n\nvoid CommandBuffer::InsertImageMemoryBarrier(\n    const core::ImageView& image_view,\n    const ImageMemoryBarrier& memory_barrier) {\n  auto subresource_range = image_view.GetSubresourceRange();\n  auto format = image_view.GetFormat();\n  if (IsDepthOnlyFormat(format)) {\n    subresource_range.aspectMask = VK_IMAGE_ASPECT_DEPTH_BIT;\n  } else if (IsDepthStencilFormat(format)) {\n    subresource_range.aspectMask =\n        VK_IMAGE_ASPECT_DEPTH_BIT | VK_IMAGE_ASPECT_STENCIL_BIT;\n  }\n  InsertImageMemoryBarrier(image_view.GetImage().GetHandle(), memory_barrier,\n                           subresource_range);\n}\n\nvoid CommandBuffer::InsertImageMemoryBarrier(\n    VkImage image, const ImageMemoryBarrier& memory_barrier,\n    VkImageSubresourceRange subresource_range) {\n  VkImageMemoryBarrier image_memory_barrier{\n      VK_STRUCTURE_TYPE_IMAGE_MEMORY_BARRIER};\n  image_memory_barrier.oldLayout = memory_barrier.old_layout;\n  image_memory_barrier.newLayout = memory_barrier.new_layout;\n  image_memory_barrier.image = image;\n  image_memory_barrier.subresourceRange = subresource_range;\n  image_memory_barrier.srcAccessMask = memory_barrier.src_access_mask;\n  image_memory_barrier.dstAccessMask = memory_barrier.dst_access_mask;\n\n  VkPipelineStageFlags src_stage_mask = memory_barrier.src_stage_mask;\n  VkPipelineStageFlags dst_stage_mask = memory_barrier.dst_stage_mask;\n\n  vkCmdPipelineBarrier(handle_, src_stage_mask, dst_stage_mask, 0, 0, nullptr,\n                       0, nullptr, 1, &image_memory_barrier);\n}\n\nvoid CommandBuffer::BindImage(const core::ImageView& image_view, uint32_t set,\n                              uint32_t binding, uint32_t array_element) {\n  resource_binding_state_.BindImage(image_view, set, binding, array_element);\n}\n\nvoid CommandBuffer::BindImage(const core::ImageView& image_view,\n                              const core::Sampler& sampler, uint32_t set,\n                              uint32_t binding, uint32_t array_element) {\n  resource_binding_state_.BindImage(image_view, sampler, set, binding,\n                                    array_element);\n}\n\nvoid CommandBuffer::CopyBufferToImage(\n    const core::Buffer& buffer, const core::Image& image,\n    const std::vector<VkBufferImageCopy>& regions) {\n  vkCmdCopyBufferToImage(handle_, buffer.GetHandle(), image.GetHandle(),\n                         VK_IMAGE_LAYOUT_TRANSFER_DST_OPTIMAL,\n                         static_cast<uint32_t>(regions.size()), regions.data());\n}\n\nvoid CommandBuffer::FlushPushConstants() {\n  if (stored_push_constants_.empty()) {\n    return;\n  }\n\n  const PipelineLayout& pipeline_layout = *pipeline_state_.GetPipelineLayout();\n\n  VkShaderStageFlags shader_stage = pipeline_layout.GetPushConstantRangeStage(\n      static_cast<uint32_t>(stored_push_constants_.size()));\n\n  if (shader_stage) {\n    vkCmdPushConstants(handle_, pipeline_layout.GetHandle(), shader_stage, 0,\n                       static_cast<uint32_t>(stored_push_constants_.size()),\n                       stored_push_constants_.data());\n  } else {\n    throw std::runtime_error(\n        fmt::format(\"Push constant range [{}, {}] not found\", 0,\n                    stored_push_constants_.size()));\n  }\n\n  stored_push_constants_.clear();\n}\n\nvoid CommandBuffer::BindInput(const core::ImageView& image_view, uint32_t set,\n                              uint32_t binding, uint32_t array_element) {\n  resource_binding_state_.BindInput(image_view, set, binding, array_element);\n}\n\nvoid CommandBuffer::NextSubpass() {\n  pipeline_state_.SetSubpassIndex(pipeline_state_.GetSubpassIndex() + 1);\n\n  auto blend_state = pipeline_state_.GetColorBlendState();\n  blend_state.attachments.resize(\n      current_render_pass_.render_pass->GetColorOutputCount(\n          pipeline_state_.GetSubpassIndex()));\n  pipeline_state_.SetColorBlendState(blend_state);\n\n  resource_binding_state_.Reset();\n  stored_push_constants_.clear();\n  vkCmdNextSubpass(handle_, VK_SUBPASS_CONTENTS_INLINE);\n}\n\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/CommandPool.cpp",
    "content": "#include \"vkoo/core/CommandPool.h\"\n\n#include \"vkoo/core/Device.h\"\n\nnamespace vkoo {\nCommandPool::CommandPool(Device& device, uint32_t queue_family_index,\n                         RenderFrame* render_frame)\n    : device_{device},\n      render_frame_{render_frame},\n      active_command_buffer_count_{0} {\n  VkCommandPoolCreateInfo create_info{\n      VK_STRUCTURE_TYPE_COMMAND_POOL_CREATE_INFO};\n\n  create_info.queueFamilyIndex = queue_family_index;\n  create_info.flags = VK_COMMAND_POOL_CREATE_TRANSIENT_BIT;\n\n  VK_CHECK(vkCreateCommandPool(device_.GetHandle(), &create_info, nullptr,\n                               &handle_));\n}\n\nCommandPool::~CommandPool() {\n  command_buffers_.clear();\n  if (handle_ != VK_NULL_HANDLE) {\n    vkDestroyCommandPool(device_.GetHandle(), handle_, nullptr);\n  }\n}\n\nvoid CommandPool::ResetPool() {\n  VK_CHECK(vkResetCommandPool(device_.GetHandle(), handle_, 0));\n  ResetCommandBuffers();\n}\n\nvoid CommandPool::ResetCommandBuffers() {\n  for (auto& cmd_buf : command_buffers_) {\n    cmd_buf->Reset();\n  }\n  active_command_buffer_count_ = 0;\n}\n\nCommandBuffer& CommandPool::RequestCommandBuffer() {\n  if (active_command_buffer_count_ < command_buffers_.size()) {\n    return *command_buffers_.at(active_command_buffer_count_);\n  }\n  command_buffers_.emplace_back(std::make_unique<CommandBuffer>(*this));\n  active_command_buffer_count_++;\n  return *command_buffers_.back();\n}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/DeferredLightingSubpass.cpp",
    "content": "#include \"vkoo/core/DeferredLightingSubpass.h\"\n\nnamespace vkoo {\nDeferredLightingSubpass::DeferredLightingSubpass(\n    RenderContext& render_context, const st::ShaderProgram& shader_program,\n    st::Scene& scene, const core::Sampler& sampler,\n    uint32_t depth_attachment_id, uint32_t albedo_attachment_id,\n    uint32_t normal_attachment_id)\n    : Subpass{render_context, shader_program, scene},\n      sampler_{sampler},\n      depth_attachment_id_{depth_attachment_id},\n      albedo_attachment_id_{albedo_attachment_id},\n      normal_attachment_id_{normal_attachment_id} {}\n\nvoid DeferredLightingSubpass::Prepare() {}\n\nvoid DeferredLightingSubpass::SetSSAOAttachment(uint32_t ssao_attachment_id) {\n  ssao_attachment_id_ = ssao_attachment_id;\n  ssao_enabled_ = true;\n\n  shader_variant_.Clear();\n  shader_variant_.AddDef(\"SSAO_ENABLED\");\n}\n\nvoid DeferredLightingSubpass::Draw(CommandBuffer& command_buffer) {\n  DeferredLights light_ubo;\n  AggregateLights(light_ubo,\n                  scene_.GetRoot().GetComponentsRecursive<st::Light>());\n  auto& render_frame = render_context_.GetActiveFrame();\n  auto& light_buffer = render_frame.AllocateBuffer(\n      VK_BUFFER_USAGE_UNIFORM_BUFFER_BIT, sizeof(DeferredLights));\n  light_buffer.ConvertAndUpdate(light_ubo);\n\n  // The lights' uniform parameter is always at binding = 5.\n  command_buffer.BindBuffer(light_buffer, 0, light_buffer.GetSize(), 0, 5, 0);\n\n  auto& resource_cache = command_buffer.GetDevice().GetResourceCache();\n  auto& vert_shader_module = resource_cache.RequestShaderModule(\n      VK_SHADER_STAGE_VERTEX_BIT, shader_program_.vertex_shader_source,\n      shader_variant_);\n  auto& frag_shader_module = resource_cache.RequestShaderModule(\n      VK_SHADER_STAGE_FRAGMENT_BIT, shader_program_.fragment_shader_source,\n      shader_variant_);\n  std::vector<ShaderModule*> shader_modules{&vert_shader_module,\n                                            &frag_shader_module};\n\n  auto& pipeline_layout = resource_cache.RequestPipelineLayout(shader_modules);\n  command_buffer.BindPipelineLayout(pipeline_layout);\n\n  command_buffer.SetVertexInputState({});  // no vertex input\n\n  auto& render_target = render_context_.GetActiveFrame().GetRenderTarget();\n  auto& target_views = render_target.GetViews();\n\n  // Bind depth, albedo, and normal as input attachments.\n  auto& depth_view = target_views.at(depth_attachment_id_);\n  command_buffer.BindImage(depth_view, sampler_, 0, 0, 0);\n\n  auto& albedo_view = target_views.at(albedo_attachment_id_);\n  command_buffer.BindImage(albedo_view, sampler_, 0, 1, 0);\n\n  auto& normal_view = target_views.at(normal_attachment_id_);\n  command_buffer.BindImage(normal_view, sampler_, 0, 2, 0);\n\n  if (ssao_enabled_) {\n    auto& ssao_view = target_views.at(ssao_attachment_id_);\n    command_buffer.BindImage(ssao_view, sampler_, 0, 3, 0);\n  }\n\n  // Set cull mode to front as full screen triangle is clock-wise.\n  RasterizationState rasterization_state{};\n  rasterization_state.cull_mode = VK_CULL_MODE_FRONT_BIT;\n  command_buffer.SetRasterizationState(rasterization_state);\n\n  CameraUniform camera_uniform;\n  camera_uniform.inv_resolution.x =\n      1.0f / static_cast<float>(render_target.GetExtent().width);\n  camera_uniform.inv_resolution.y =\n      1.0f / static_cast<float>(render_target.GetExtent().height);\n\n  const st::Camera& camera = *scene_.GetActiveCameraPtr();\n  glm::mat4 view_proj_mat =\n      VulkanStyleProjection(camera.GetProjectionMatrix()) *\n      camera.GetViewMatrix();\n  camera_uniform.clip_to_world_mat = glm::inverse(view_proj_mat);\n\n  core::Buffer& buffer = render_frame.AllocateBuffer(\n      VK_BUFFER_USAGE_UNIFORM_BUFFER_BIT, sizeof(CameraUniform));\n  buffer.ConvertAndUpdate(camera_uniform);\n\n  // Bind camera uniform at binding 4.\n  command_buffer.BindBuffer(buffer, 0, buffer.GetSize(), 0, 4, 0);\n\n  command_buffer.Draw(3, 1, 0, 0);\n}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/DescriptorPool.cpp",
    "content": "#include \"vkoo/core/DescriptorPool.h\"\n\n#include \"vkoo/core/DescriptorSetLayout.h\"\n#include \"vkoo/core/Device.h\"\n\nnamespace vkoo {\nDescriptorPool::DescriptorPool(Device& device,\n                               const DescriptorSetLayout& descriptor_set_layout,\n                               uint32_t pool_size)\n    : device_{device},\n      descriptor_set_layout_{descriptor_set_layout},\n      pool_index_{0} {\n  const std::vector<VkDescriptorSetLayoutBinding>& bindings =\n      descriptor_set_layout.GetBindings();\n\n  std::map<VkDescriptorType, std::uint32_t> descriptor_type_counts;\n\n  for (auto& binding : bindings) {\n    descriptor_type_counts[binding.descriptorType] += binding.descriptorCount;\n  }\n\n  pool_sizes_.resize(descriptor_type_counts.size());\n\n  auto pool_size_it = pool_sizes_.begin();\n\n  for (auto& it : descriptor_type_counts) {\n    pool_size_it->type = it.first;\n    pool_size_it->descriptorCount = it.second * pool_size;\n    ++pool_size_it;\n  }\n\n  pool_max_sets_ = pool_size;\n}\n\nDescriptorPool::~DescriptorPool() {\n  for (auto pool : pools_) {\n    vkDestroyDescriptorPool(device_.GetHandle(), pool, nullptr);\n  }\n}\n\nuint32_t DescriptorPool::FindAvailablePool(uint32_t search_index) {\n  if (pools_.size() <= search_index) {\n    VkDescriptorPoolCreateInfo create_info{\n        VK_STRUCTURE_TYPE_DESCRIPTOR_POOL_CREATE_INFO};\n\n    create_info.poolSizeCount = static_cast<uint32_t>(pool_sizes_.size());\n    create_info.pPoolSizes = pool_sizes_.data();\n    create_info.maxSets = pool_max_sets_;\n    create_info.flags = 0;\n\n    VkDescriptorPool handle = VK_NULL_HANDLE;\n\n    VK_CHECK(vkCreateDescriptorPool(device_.GetHandle(), &create_info, nullptr,\n                                    &handle));\n\n    pools_.push_back(handle);\n    pool_sets_count_.push_back(0);\n\n    return search_index;\n  } else if (pool_sets_count_[search_index] < pool_max_sets_) {\n    return search_index;\n  }\n\n  return FindAvailablePool(++search_index);\n}\nvoid DescriptorPool::Reset() {\n  for (auto pool : pools_) {\n    vkResetDescriptorPool(device_.GetHandle(), pool, 0);\n  }\n\n  std::fill(pool_sets_count_.begin(), pool_sets_count_.end(), 0);\n  set_pool_mapping_.clear();\n\n  pool_index_ = 0;\n}\n\nVkDescriptorSet DescriptorPool::Allocate() {\n  pool_index_ = FindAvailablePool(pool_index_);\n\n  // Increment allocated set count for the current pool.\n  ++pool_sets_count_[pool_index_];\n\n  VkDescriptorSetLayout set_layout = descriptor_set_layout_.GetHandle();\n\n  VkDescriptorSetAllocateInfo alloc_info{\n      VK_STRUCTURE_TYPE_DESCRIPTOR_SET_ALLOCATE_INFO};\n  alloc_info.descriptorPool = pools_[pool_index_];\n  alloc_info.descriptorSetCount = 1;\n  alloc_info.pSetLayouts = &set_layout;\n\n  VkDescriptorSet handle = VK_NULL_HANDLE;\n\n  VK_CHECK(vkAllocateDescriptorSets(device_.GetHandle(), &alloc_info, &handle));\n\n  set_pool_mapping_.emplace(handle, pool_index_);\n\n  return handle;\n}\n\nvoid DescriptorPool::Free(VkDescriptorSet descriptor_set) {\n  // Get the pool index of the descriptor set\n  auto it = set_pool_mapping_.find(descriptor_set);\n\n  if (it == set_pool_mapping_.end()) {\n    throw std::runtime_error(\n        \"Cannot free descriptor: no set-pool mapping found!\");\n  }\n\n  auto desc_pool_index = it->second;\n\n  vkFreeDescriptorSets(device_.GetHandle(), pools_[desc_pool_index], 1,\n                       &descriptor_set);\n\n  set_pool_mapping_.erase(it);\n  --pool_sets_count_[desc_pool_index];\n  pool_index_ = desc_pool_index;\n}\n\n}  // namespace vkoo"
  },
  {
    "path": "vkoo/src/core/DescriptorSet.cpp",
    "content": "#include \"vkoo/core/DescriptorPool.h\"\n#include \"vkoo/core/DescriptorSet.h\"\n#include \"vkoo/core/DescriptorSetLayout.h\"\n#include \"vkoo/core/Device.h\"\n#include \"vkoo/core/resource_caching.h\"\n#include \"vkoo/logging.h\"\n\nnamespace vkoo {\nDescriptorSet::DescriptorSet(\n    Device& device, DescriptorSetLayout& descriptor_set_layout,\n    DescriptorPool& descriptor_pool,\n    const BindingMap<VkDescriptorBufferInfo>& buffer_infos,\n    const BindingMap<VkDescriptorImageInfo>& image_infos)\n    : device_{device},\n      descriptor_set_layout_{descriptor_set_layout},\n      descriptor_pool_(descriptor_pool),\n      buffer_infos_{buffer_infos},\n      image_infos_{image_infos},\n      handle_{descriptor_pool.Allocate()} {\n  Prepare();\n}\n\nDescriptorSet::DescriptorSet(DescriptorSet&& other)\n    : device_{other.device_},\n      descriptor_set_layout_{other.descriptor_set_layout_},\n      descriptor_pool_{other.descriptor_pool_},\n      buffer_infos_{std::move(other.buffer_infos_)},\n      image_infos_{std::move(other.image_infos_)},\n      handle_{other.handle_},\n      write_descriptor_sets_{std::move(other.write_descriptor_sets_)},\n      updated_bindings_{std::move(other.updated_bindings_)} {\n  other.handle_ = VK_NULL_HANDLE;\n}\n\nvoid DescriptorSet::Prepare() {\n  if (!write_descriptor_sets_.empty()) {\n    throw std::runtime_error(\n        \"Trying to prepare a descriptor set that has already been prepared, \"\n        \"skipping.\");\n    return;\n  }\n\n  for (auto& binding_it : buffer_infos_) {\n    auto binding_index = binding_it.first;\n    auto& buffer_bindings = binding_it.second;\n\n    if (auto binding_info =\n            descriptor_set_layout_.GetLayoutBinding(binding_index)) {\n      for (auto& element_it : buffer_bindings) {\n        auto& buffer_info = element_it.second;\n\n#ifndef NDEBUG\n        size_t uniform_buffer_range_limit =\n            device_.GetGPU().GetProperties().limits.maxUniformBufferRange;\n        size_t buffer_range_limit = buffer_info.range;\n        assert(binding_info->descriptorType ==\n               VK_DESCRIPTOR_TYPE_UNIFORM_BUFFER);\n        assert(buffer_range_limit <= uniform_buffer_range_limit);\n#endif\n\n        VkWriteDescriptorSet write_descriptor_set{\n            VK_STRUCTURE_TYPE_WRITE_DESCRIPTOR_SET};\n\n        write_descriptor_set.dstBinding = binding_index;\n        write_descriptor_set.descriptorType = binding_info->descriptorType;\n        write_descriptor_set.pBufferInfo = &buffer_info;\n        write_descriptor_set.dstSet = handle_;\n        write_descriptor_set.dstArrayElement = element_it.first;\n        write_descriptor_set.descriptorCount = 1;\n\n        write_descriptor_sets_.push_back(write_descriptor_set);\n      }\n    } else {\n      throw std::runtime_error(\n          fmt::format(\"Shader layout set does not use buffer binding at {}\",\n                      binding_index));\n    }\n  }\n\n  for (auto& binding_it : image_infos_) {\n    auto binding_index = binding_it.first;\n    auto& binding_resources = binding_it.second;\n\n    if (auto binding_info =\n            descriptor_set_layout_.GetLayoutBinding(binding_index)) {\n      for (auto& element_it : binding_resources) {\n        auto& image_info = element_it.second;\n\n        VkWriteDescriptorSet write_descriptor_set{\n            VK_STRUCTURE_TYPE_WRITE_DESCRIPTOR_SET};\n\n        write_descriptor_set.dstBinding = binding_index;\n        write_descriptor_set.descriptorType = binding_info->descriptorType;\n        write_descriptor_set.pImageInfo = &image_info;\n        write_descriptor_set.dstSet = handle_;\n        write_descriptor_set.dstArrayElement = element_it.first;\n        write_descriptor_set.descriptorCount = 1;\n\n        write_descriptor_sets_.push_back(write_descriptor_set);\n      }\n    } else {\n      throw std::runtime_error(fmt::format(\n          \"Shader layout set does not use image binding at {}\", binding_index));\n    }\n  }\n}\n\nvoid DescriptorSet::Update() {\n  std::vector<VkWriteDescriptorSet> write_operations;\n  std::vector<size_t> write_operation_hashes;\n\n  for (size_t i = 0; i < write_descriptor_sets_.size(); i++) {\n    const auto& write_operation = write_descriptor_sets_[i];\n    size_t write_operation_hash = 0;\n    hash_param(write_operation_hash, write_operation);\n    auto it = updated_bindings_.find(write_operation.dstBinding);\n    if (it == updated_bindings_.end() || it->second != write_operation_hash) {\n      write_operations.push_back(write_operation);\n      write_operation_hashes.push_back(write_operation_hash);\n    }\n  }\n\n  if (!write_operations.empty()) {\n    vkUpdateDescriptorSets(device_.GetHandle(),\n                           static_cast<uint32_t>(write_operations.size()),\n                           write_operations.data(), 0, nullptr);\n  }\n\n  for (size_t i = 0; i < write_operations.size(); i++) {\n    updated_bindings_[write_operations[i].dstBinding] =\n        write_operation_hashes[i];\n  }\n}\n\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/DescriptorSetLayout.cpp",
    "content": "#include \"vkoo/core/DescriptorSetLayout.h\"\n\n#include \"vkoo/core/Device.h\"\n#include \"vkoo/core/ShaderModule.h\"\n\nnamespace vkoo {\ninline VkDescriptorType FindDescriptorType(ShaderResourceType resource_type,\n                                           bool dynamic) {\n  switch (resource_type) {\n    case ShaderResourceType::InputAttachment:\n      return VK_DESCRIPTOR_TYPE_INPUT_ATTACHMENT;\n      break;\n    case ShaderResourceType::Image:\n      return VK_DESCRIPTOR_TYPE_SAMPLED_IMAGE;\n      break;\n    case ShaderResourceType::ImageSampler:\n      return VK_DESCRIPTOR_TYPE_COMBINED_IMAGE_SAMPLER;\n      break;\n    case ShaderResourceType::ImageStorage:\n      return VK_DESCRIPTOR_TYPE_STORAGE_IMAGE;\n      break;\n    case ShaderResourceType::Sampler:\n      return VK_DESCRIPTOR_TYPE_SAMPLER;\n      break;\n    case ShaderResourceType::BufferUniform:\n      if (dynamic) {\n        return VK_DESCRIPTOR_TYPE_UNIFORM_BUFFER_DYNAMIC;\n      } else {\n        return VK_DESCRIPTOR_TYPE_UNIFORM_BUFFER;\n      }\n      break;\n    case ShaderResourceType::BufferStorage:\n      if (dynamic) {\n        return VK_DESCRIPTOR_TYPE_STORAGE_BUFFER_DYNAMIC;\n      } else {\n        return VK_DESCRIPTOR_TYPE_STORAGE_BUFFER;\n      }\n      break;\n    default:\n      throw std::runtime_error(\n          \"No conversion possible for the shader resource type.\");\n      break;\n  }\n}\n\nDescriptorSetLayout::DescriptorSetLayout(\n    Device& device, const std::vector<ShaderModule*>& shader_modules,\n    uint32_t set_index, const std::vector<ShaderResource>& resource_set)\n    : device_(device), set_index_(set_index), shader_modules_{shader_modules} {\n  for (auto& resource : resource_set) {\n    // Skip shader resources whitout a binding point\n    if (resource.type == ShaderResourceType::Input ||\n        resource.type == ShaderResourceType::Output ||\n        resource.type == ShaderResourceType::PushConstant ||\n        resource.type == ShaderResourceType::SpecializationConstant) {\n      continue;\n    }\n\n    if (resource.mode != ShaderResourceMode::Static) {\n      throw std::runtime_error(\"Non-static resources are not supported yet.\");\n    }\n\n    // Convert from ShaderResourceType to VkDescriptorType.\n    auto descriptor_type = FindDescriptorType(\n        resource.type, resource.mode == ShaderResourceMode::Dynamic);\n\n    binding_flags_.push_back(0);\n\n    // Convert ShaderResource to VkDescriptorSetLayoutBinding.\n    VkDescriptorSetLayoutBinding layout_binding{};\n\n    layout_binding.binding = resource.binding;\n    layout_binding.descriptorCount = resource.array_size;\n    layout_binding.descriptorType = descriptor_type;\n    layout_binding.stageFlags =\n        static_cast<VkShaderStageFlags>(resource.stages);\n\n    bindings_.push_back(layout_binding);\n    binding_id_to_layout_dict_.emplace(resource.binding, layout_binding);\n    name_to_binding_id_dict_.emplace(resource.name, resource.binding);\n  }\n  VkDescriptorSetLayoutCreateInfo create_info{\n      VK_STRUCTURE_TYPE_DESCRIPTOR_SET_LAYOUT_CREATE_INFO};\n  create_info.flags = 0;\n  create_info.bindingCount = static_cast<uint32_t>(bindings_.size());\n  create_info.pBindings = bindings_.data();\n\n  VK_CHECK(vkCreateDescriptorSetLayout(device_.GetHandle(), &create_info,\n                                       nullptr, &handle_));\n}\n\nstd::optional<VkDescriptorSetLayoutBinding>\nDescriptorSetLayout::GetLayoutBinding(uint32_t binding_index) const {\n  auto it = binding_id_to_layout_dict_.find(binding_index);\n  if (it == binding_id_to_layout_dict_.end()) {\n    return {};\n  }\n  return it->second;\n}\n\nstd::optional<VkDescriptorSetLayoutBinding>\nDescriptorSetLayout::GetLayoutBinding(const std::string& name) const {\n  auto it = name_to_binding_id_dict_.find(name);\n  if (it == name_to_binding_id_dict_.end()) {\n    return {};\n  }\n  return GetLayoutBinding(it->second);\n}\n\nDescriptorSetLayout::DescriptorSetLayout(DescriptorSetLayout&& other)\n    : device_{other.device_},\n      handle_{other.handle_},\n      set_index_{other.set_index_},\n      shader_modules_{other.shader_modules_},\n      bindings_{other.bindings_},\n      binding_flags_{other.binding_flags_},\n      binding_id_to_layout_dict_{other.binding_id_to_layout_dict_},\n      name_to_binding_id_dict_{other.name_to_binding_id_dict_} {\n  other.handle_ = VK_NULL_HANDLE;\n}\n\nDescriptorSetLayout::~DescriptorSetLayout() {\n  if (handle_ != VK_NULL_HANDLE) {\n    vkDestroyDescriptorSetLayout(device_.GetHandle(), handle_, nullptr);\n  }\n}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/Device.cpp",
    "content": "#include \"vkoo/core/Device.h\"\n\nnamespace vkoo {\nDevice::Device(const PhysicalDevice& gpu, VkSurfaceKHR surface,\n               const std::vector<const char*>& required_extensions)\n    : gpu_(gpu), resource_cache_(*this) {\n  size_t queue_family_count = gpu.GetQueueFamilyProperties().size();\n  std::vector<VkDeviceQueueCreateInfo> queue_create_infos;\n  std::vector<std::vector<float>> queue_priorities;\n\n  for (size_t i = 0; i < queue_family_count; i++) {\n    const VkQueueFamilyProperties& family_properties =\n        gpu.GetQueueFamilyProperties()[i];\n    queue_priorities.push_back(\n        std::vector<float>(family_properties.queueCount, 1.0f));\n\n    VkDeviceQueueCreateInfo queue_create_info{};\n    queue_create_info.sType = VK_STRUCTURE_TYPE_DEVICE_QUEUE_CREATE_INFO;\n    queue_create_info.queueFamilyIndex = i;\n    queue_create_info.queueCount = family_properties.queueCount;\n    queue_create_info.pQueuePriorities = queue_priorities.back().data();\n    queue_create_infos.push_back(queue_create_info);\n  }\n\n  VkPhysicalDeviceFeatures device_features{};\n  device_features.fillModeNonSolid = VK_TRUE;\n  device_features.samplerAnisotropy = VK_TRUE;\n  device_features.wideLines = VK_TRUE;\n\n  VkDeviceCreateInfo create_info{};\n  create_info.sType = VK_STRUCTURE_TYPE_DEVICE_CREATE_INFO;\n  create_info.pQueueCreateInfos = queue_create_infos.data();\n  create_info.queueCreateInfoCount =\n      static_cast<uint32_t>(queue_create_infos.size());\n  create_info.pEnabledFeatures = &device_features;\n  create_info.ppEnabledExtensionNames = required_extensions.data();\n  create_info.enabledExtensionCount =\n      static_cast<uint32_t>(required_extensions.size());\n\n  VK_CHECK(vkCreateDevice(gpu_.GetHandle(), &create_info, nullptr, &handle_));\n\n  queue_families_.resize(queue_family_count);\n  for (size_t i = 0; i < queue_family_count; i++) {\n    const VkQueueFamilyProperties& family_properties =\n        gpu.GetQueueFamilyProperties()[i];\n    VkBool32 present_supported = gpu_.IsPresentSupported(surface, i);\n    for (size_t j = 0; j < family_properties.queueCount; j++) {\n      queue_families_[i].emplace_back(*this, i, j, family_properties,\n                                      present_supported);\n    }\n  }\n\n  command_pool_ = std::make_unique<CommandPool>(\n      *this, GetQueueByFlags(VK_QUEUE_GRAPHICS_BIT | VK_QUEUE_COMPUTE_BIT, 0)\n                 .GetFamilyIndex());\n  fence_pool_ = std::make_unique<FencePool>(*this);\n}\n\nDevice::~Device() {\n  resource_cache_.Clear();\n  command_pool_.reset();\n  fence_pool_.reset();\n\n  if (handle_ != VK_NULL_HANDLE) {\n    vkDestroyDevice(handle_, nullptr);\n  }\n}\n\nconst Queue& Device::GetSuitableGraphicsQueue() const {\n  for (const auto& queue_family : queue_families_) {\n    if (!queue_family.empty() && queue_family[0].IsPresentSupported()) {\n      return queue_family[0];\n    }\n  }\n  throw std::runtime_error(\"No graphics queue with present supported found!\");\n}\n\nconst Queue& Device::GetQueueByFlags(VkQueueFlags required_queue_flags,\n                                     uint32_t queue_index) {\n  for (uint32_t queue_family_index = 0U;\n       queue_family_index < queue_families_.size(); ++queue_family_index) {\n    Queue& first_queue = queue_families_[queue_family_index][0];\n\n    VkQueueFlags queue_flags = first_queue.GetProperties().queueFlags;\n    uint32_t queue_count = first_queue.GetProperties().queueCount;\n\n    if (((queue_flags & required_queue_flags) == required_queue_flags) &&\n        queue_index < queue_count) {\n      return queue_families_[queue_family_index][queue_index];\n    }\n  }\n\n  throw std::runtime_error(\"Queue not found\");\n}\n\nvoid Device::WaitIdle() { VK_CHECK(vkDeviceWaitIdle(handle_)); }\n\nCommandBuffer& Device::RequestCommandBuffer() {\n  return command_pool_->RequestCommandBuffer();\n}\n\nVkFence Device::RequestFence() { return fence_pool_->RequestFence(); }\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/FencePool.cpp",
    "content": "#include \"vkoo/core/FencePool.h\"\n\n#include \"vkoo/core/Device.h\"\n\nnamespace vkoo {\nFencePool::FencePool(Device& device)\n    : device_{device}, active_fence_count_{0} {}\n\nFencePool::~FencePool() {\n  Wait();\n  Reset();\n\n  for (VkFence fence : fences_) {\n    vkDestroyFence(device_.GetHandle(), fence, nullptr);\n  }\n\n  fences_.clear();\n}\n\nVkFence FencePool::RequestFence() {\n  if (active_fence_count_ < fences_.size()) {\n    return fences_.at(active_fence_count_++);\n  }\n\n  VkFence fence{VK_NULL_HANDLE};\n\n  VkFenceCreateInfo create_info{VK_STRUCTURE_TYPE_FENCE_CREATE_INFO};\n\n  VK_CHECK(vkCreateFence(device_.GetHandle(), &create_info, nullptr, &fence));\n\n  fences_.push_back(fence);\n\n  active_fence_count_++;\n\n  return fences_.back();\n}\n\nvoid FencePool::Wait(uint32_t timeout) const {\n  if (active_fence_count_ < 1 || fences_.empty()) {\n    return;\n  }\n\n  VK_CHECK(vkWaitForFences(device_.GetHandle(), active_fence_count_,\n                           fences_.data(), true, timeout));\n}\n\nvoid FencePool::Reset() {\n  if (active_fence_count_ < 1 || fences_.empty()) {\n    return;\n  }\n\n  VK_CHECK(\n      vkResetFences(device_.GetHandle(), active_fence_count_, fences_.data()));\n\n  active_fence_count_ = 0;\n}\n}  // namespace vkoo"
  },
  {
    "path": "vkoo/src/core/ForwardSubpass.cpp",
    "content": "#include \"vkoo/core/ForwardSubpass.h\"\n\n#include \"vkoo/st/components/Light.h\"\n\nnamespace vkoo {\nForwardSubpass::ForwardSubpass(RenderContext& render_context,\n                               const st::ShaderProgram& shader_program,\n                               st::Scene& scene,\n                               TransparencyMode transparency_mode)\n    : GeometrySubpass{render_context, shader_program, scene,\n                      transparency_mode} {}\n\nvoid ForwardSubpass::Prepare() { GeometrySubpass::Prepare(); }\n\nvoid ForwardSubpass::Draw(CommandBuffer& command_buffer) {\n  ForwardLights light_ubo;\n  AggregateLights(light_ubo,\n                  scene_.GetRoot().GetComponentsRecursive<st::Light>());\n  auto& render_frame = render_context_.GetActiveFrame();\n  auto& light_buffer = render_frame.AllocateBuffer(\n      VK_BUFFER_USAGE_UNIFORM_BUFFER_BIT, sizeof(ForwardLights));\n  light_buffer.ConvertAndUpdate(light_ubo);\n\n  // The lights' uniform parameter is always at binding = 4.\n  command_buffer.BindBuffer(light_buffer, 0, light_buffer.GetSize(), 0, 4, 0);\n\n  GeometrySubpass::Draw(command_buffer);\n}\n}  // namespace vkoo"
  },
  {
    "path": "vkoo/src/core/Framebuffer.cpp",
    "content": "#include \"vkoo/core/Framebuffer.h\"\n\n#include \"vkoo/core/Device.h\"\n\nnamespace vkoo {\nFramebuffer::Framebuffer(Device& device, const VkExtent2D& extent,\n                         const std::vector<VkImageView>& attachments,\n                         const RenderPass& render_pass)\n    : device_{device}, extent_{extent} {\n  VkFramebufferCreateInfo create_info{\n      VK_STRUCTURE_TYPE_FRAMEBUFFER_CREATE_INFO};\n\n  create_info.renderPass = render_pass.GetHandle();\n  create_info.attachmentCount = static_cast<uint32_t>(attachments.size());\n  create_info.pAttachments = attachments.data();\n  create_info.width = extent_.width;\n  create_info.height = extent_.height;\n  create_info.layers = 1;\n\n  VK_CHECK(\n      vkCreateFramebuffer(device.GetHandle(), &create_info, nullptr, &handle_));\n}\n\nFramebuffer::~Framebuffer() {\n  if (handle_ != VK_NULL_HANDLE) {\n    vkDestroyFramebuffer(device_.GetHandle(), handle_, nullptr);\n  }\n}\n\nFramebuffer::Framebuffer(Framebuffer&& other)\n    : device_{other.device_}, handle_{other.handle_}, extent_{other.extent_} {\n  other.handle_ = VK_NULL_HANDLE;\n}\n\n}  // namespace vkoo"
  },
  {
    "path": "vkoo/src/core/GLSLCompiler.cpp",
    "content": "#include \"vkoo/core/GLSLCompiler.h\"\n\n#include <StandAlone/ResourceLimits.h>\n#include <SPIRV/GlslangToSpv.h>\n\nnamespace vkoo {\nnamespace {\ninline EShLanguage FindShaderLanguage(VkShaderStageFlagBits stage) {\n  switch (stage) {\n    case VK_SHADER_STAGE_VERTEX_BIT:\n      return EShLangVertex;\n\n    case VK_SHADER_STAGE_TESSELLATION_CONTROL_BIT:\n      return EShLangTessControl;\n\n    case VK_SHADER_STAGE_TESSELLATION_EVALUATION_BIT:\n      return EShLangTessEvaluation;\n\n    case VK_SHADER_STAGE_GEOMETRY_BIT:\n      return EShLangGeometry;\n\n    case VK_SHADER_STAGE_FRAGMENT_BIT:\n      return EShLangFragment;\n\n    case VK_SHADER_STAGE_COMPUTE_BIT:\n      return EShLangCompute;\n\n    case VK_SHADER_STAGE_RAYGEN_BIT_NV:\n      return EShLangRayGenNV;\n\n    case VK_SHADER_STAGE_MISS_BIT_NV:\n      return EShLangMissNV;\n\n    case VK_SHADER_STAGE_CLOSEST_HIT_BIT_NV:\n      return EShLangClosestHitNV;\n\n    default:\n      return EShLangVertex;\n  }\n}\n}  // namespace\n\nbool GLSLCompiler::CompileToSPIRV(VkShaderStageFlagBits stage,\n                                  const std::vector<uint8_t>& glsl_source,\n                                  const std::string& entry_point,\n                                  const ShaderVariant& shader_variant,\n                                  std::vector<std::uint32_t>& spirv,\n                                  std::string& info_log) {\n  glslang::InitializeProcess();\n\n  EShMessages messages = static_cast<EShMessages>(\n      EShMsgDefault | EShMsgVulkanRules | EShMsgSpvRules);\n\n  EShLanguage language = FindShaderLanguage(stage);\n  std::string source = std::string(glsl_source.begin(), glsl_source.end());\n\n  const char* file_name_list[1] = {\"\"};\n  const char* shader_source = reinterpret_cast<const char*>(source.data());\n\n  glslang::TShader shader(language);\n  shader.setStringsWithLengthsAndNames(&shader_source, nullptr, file_name_list,\n                                       1);\n  shader.setEntryPoint(entry_point.c_str());\n  shader.setSourceEntryPoint(entry_point.c_str());\n  shader.setPreamble(shader_variant.GetPreamble().c_str());\n  shader.addProcesses(shader_variant.GetProcesses());\n\n  if (!shader.parse(&glslang::DefaultTBuiltInResource, 100, false, messages)) {\n    info_log = std::string(shader.getInfoLog()) + \"\\n\" +\n               std::string(shader.getInfoDebugLog());\n    return false;\n  }\n\n  // Add shader to new program object.\n  glslang::TProgram program;\n  program.addShader(&shader);\n\n  // Link program.\n  if (!program.link(messages)) {\n    info_log = std::string(program.getInfoLog()) + \"\\n\" +\n               std::string(program.getInfoDebugLog());\n    return false;\n  }\n\n  // Save any info log that was generated.\n  if (shader.getInfoLog()) {\n    info_log += std::string(shader.getInfoLog()) + \"\\n\" +\n                std::string(shader.getInfoDebugLog()) + \"\\n\";\n  }\n\n  if (program.getInfoLog()) {\n    info_log += std::string(program.getInfoLog()) + \"\\n\" +\n                std::string(program.getInfoDebugLog());\n  }\n\n  glslang::TIntermediate* intermediate = program.getIntermediate(language);\n\n  // Translate to SPIRV.\n  if (!intermediate) {\n    info_log += \"Failed to get shared intermediate code.\\n\";\n    return false;\n  }\n\n  spv::SpvBuildLogger logger;\n\n  glslang::GlslangToSpv(*intermediate, spirv, &logger);\n\n  info_log += logger.getAllMessages() + \"\\n\";\n\n  // Shutdown glslang library.\n  glslang::FinalizeProcess();\n\n  return true;\n}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/GeometrySubpass.cpp",
    "content": "#include \"vkoo/core/GeometrySubpass.h\"\n\n#include \"vkoo/st/Material.h\"\n#include \"vkoo/st/Scene.h\"\n#include \"vkoo/st/Texture.h\"\n#include \"vkoo/st/components/Camera.h\"\n\nnamespace vkoo {\nnamespace {\nvoid GatherVisibleMeshesInTree(const st::Node& node,\n                               std::vector<st::Mesh*>& result) {\n  if (!node.IsVisible()) {\n    return;\n  }\n  auto mesh = node.GetComponentPtr<st::Mesh>();\n  if (mesh != nullptr) {\n    result.push_back(mesh);\n  }\n  size_t child_count = node.GetChildrenCount();\n  for (size_t i = 0; i < child_count; i++) {\n    const st::Node& child = node.GetChild(i);\n    GatherVisibleMeshesInTree(child, result);\n  }\n}\n\nstd::vector<st::Mesh*> GetVisibleMeshesInTree(const st::Node& root) {\n  std::vector<st::Mesh*> result;\n  GatherVisibleMeshesInTree(root, result);\n  return result;\n}\n}  // namespace\n\nGeometrySubpass::GeometrySubpass(RenderContext& render_context,\n                                 const st::ShaderProgram& shader_program,\n                                 st::Scene& scene,\n                                 TransparencyMode transparency_mode)\n    : Subpass{render_context, shader_program, scene},\n      transparency_mode_{transparency_mode} {}\n\nvoid GeometrySubpass::Prepare() {}\n\nvoid GeometrySubpass::Draw(CommandBuffer& command_buffer) {\n  auto meshes = GetVisibleMeshesInTree(scene_.GetRoot());\n  std::vector<st::Mesh*> solid_meshes;\n  std::vector<st::Mesh*> transparent_meshes_depth;\n  std::vector<st::Mesh*> transparent_meshes_no_depth;\n  for (st::Mesh* mesh : meshes) {\n    if (mesh->IsTransparent()) {\n      if (mesh->AllowDepthTesting()) {\n        transparent_meshes_depth.push_back(mesh);\n      } else {\n        transparent_meshes_no_depth.push_back(mesh);\n      }\n    } else {\n      solid_meshes.push_back(mesh);\n    }\n  }\n\n  if (transparency_mode_ != TransparencyMode::TransparentOnly) {\n    // By default, depth test/write is enabled for solid objects.\n    for (st::Mesh* mesh : solid_meshes) {\n      UpdateUniform(command_buffer, *mesh->GetNode());\n      DrawSubmesh(command_buffer, *mesh);\n    }\n  }\n\n  if (transparency_mode_ != TransparencyMode::SolidOnly) {\n    // For transparent objects, they never write depth.\n    // But they can either allow/disallow depth testing.\n    DepthStencilState depth_stencil_state{};\n    depth_stencil_state.depth_write_enable = VK_FALSE;\n\n    // Enable alpha blending.\n    ColorBlendAttachmentState color_blend_attachment{};\n    color_blend_attachment.blend_enable = VK_TRUE;\n    color_blend_attachment.src_color_blend_factor = VK_BLEND_FACTOR_SRC_ALPHA;\n    color_blend_attachment.dst_color_blend_factor =\n        VK_BLEND_FACTOR_ONE_MINUS_SRC_ALPHA;\n    color_blend_attachment.src_alpha_blend_factor = VK_BLEND_FACTOR_ONE;\n    color_blend_attachment.dst_alpha_blend_factor = VK_BLEND_FACTOR_ONE;\n\n    ColorBlendState color_blend_state{};\n    color_blend_state.attachments.resize(GetOutputAttachments().size());\n    for (auto& it : color_blend_state.attachments) {\n      it = color_blend_attachment;\n    }\n    command_buffer.SetColorBlendState(color_blend_state);\n\n    // Draw transparent meshes that require depth testing first.\n    depth_stencil_state.depth_test_enable = VK_TRUE;\n    command_buffer.SetDepthStencilState(depth_stencil_state);\n    for (st::Mesh* mesh : transparent_meshes_depth) {\n      UpdateUniform(command_buffer, *mesh->GetNode());\n      DrawSubmesh(command_buffer, *mesh);\n    }\n\n    depth_stencil_state.depth_test_enable = VK_FALSE;\n    command_buffer.SetDepthStencilState(depth_stencil_state);\n    for (st::Mesh* mesh : transparent_meshes_no_depth) {\n      UpdateUniform(command_buffer, *mesh->GetNode());\n      DrawSubmesh(command_buffer, *mesh);\n    }\n  }\n}\n\nvoid GeometrySubpass::PreparePipelineState(CommandBuffer& command_buffer,\n                                           st::Mesh& mesh) {\n  InputAssemblyState input_assembly_state{};\n  if (mesh.GetPrimitiveTopology() == st::PrimitiveTopology::LineList) {\n    input_assembly_state.topology = VK_PRIMITIVE_TOPOLOGY_LINE_LIST;\n  } else if (mesh.GetPrimitiveTopology() ==\n             st::PrimitiveTopology::TriangleList) {\n    input_assembly_state.topology = VK_PRIMITIVE_TOPOLOGY_TRIANGLE_LIST;\n  } else if (mesh.GetPrimitiveTopology() == st::PrimitiveTopology::PointList) {\n    input_assembly_state.topology = VK_PRIMITIVE_TOPOLOGY_POINT_LIST;\n  }\n  command_buffer.SetInputAssemblyState(input_assembly_state);\n\n  RasterizationState rasterization_state{};\n  if (mesh.GetPolygonMode() == st::PolygonMode::Line) {\n    rasterization_state.polygon_mode = VK_POLYGON_MODE_LINE;\n    rasterization_state.cull_mode = VK_CULL_MODE_NONE;\n  } else if (mesh.GetPolygonMode() == st::PolygonMode::Fill) {\n    rasterization_state.polygon_mode = VK_POLYGON_MODE_FILL;\n    if (transparency_mode_ == TransparencyMode::TransparentOnly) {\n      rasterization_state.cull_mode = VK_CULL_MODE_NONE;\n    }\n  }\n  rasterization_state.line_width = mesh.GetLineWidth();\n\n  command_buffer.SetRasterizationState(rasterization_state);\n}\n\nPipelineLayout& GeometrySubpass::GetPipelineLayout(\n    CommandBuffer& command_buffer,\n    const std::vector<ShaderModule*>& shader_modules) {\n  return command_buffer.GetDevice().GetResourceCache().RequestPipelineLayout(\n      shader_modules);\n}\n\nvoid GeometrySubpass::DrawSubmesh(CommandBuffer& command_buffer,\n                                  st::Mesh& mesh) {\n  auto& device = command_buffer.GetDevice();\n\n  PreparePipelineState(command_buffer, mesh);\n\n  MultisampleState multisample_state{};\n  multisample_state.rasterization_samples = sample_count_;\n  command_buffer.SetMultisampleState(multisample_state);\n\n  auto& vert_shader_module = device.GetResourceCache().RequestShaderModule(\n      VK_SHADER_STAGE_VERTEX_BIT, shader_program_.vertex_shader_source,\n      mesh.GetShaderVariant());\n  auto& frag_shader_module = device.GetResourceCache().RequestShaderModule(\n      VK_SHADER_STAGE_FRAGMENT_BIT, shader_program_.fragment_shader_source,\n      mesh.GetShaderVariant());\n\n  std::vector<ShaderModule*> shader_modules{&vert_shader_module,\n                                            &frag_shader_module};\n\n  PipelineLayout& pipeline_layout =\n      GetPipelineLayout(command_buffer, shader_modules);\n\n  command_buffer.BindPipelineLayout(pipeline_layout);\n\n  DescriptorSetLayout& descriptor_set_layout =\n      pipeline_layout.GetDescriptorSetLayout(0);\n\n  // Bind material.\n  MaterialUniform material_uniform{glm::vec4{1.0f}, false};\n\n  const st::Material* material = mesh.GetMaterial();\n  if (material != nullptr) {\n    auto it = material->textures.find(\"diffuse_texture\");\n    if (it != material->textures.end()) {\n      if (auto layout_binding =\n              descriptor_set_layout.GetLayoutBinding(\"diffuse_texture\")) {\n        command_buffer.BindImage(it->second->GetImage()->GetVkImageView(),\n                                 *it->second->GetSampler(), 0,\n                                 layout_binding->binding, 0);\n        material_uniform.has_texture = 1U;\n      } else {\n        throw std::runtime_error(\n            \"Shaders for the GeometrySubpass does not have \"\n            \"\\\"diffuse_texture\\\"\");\n      }\n    } else {\n      auto color_it = material->colors.find(\"diffuse_color\");\n      if (color_it != material->colors.end()) {\n        material_uniform.diffuse_color = color_it->second;\n        material_uniform.has_texture = 0U;\n      }\n    }\n  }\n  command_buffer.PushConstants(material_uniform);\n\n  std::vector<ShaderResource> vertex_input_resources =\n      pipeline_layout.GetResources(ShaderResourceType::Input,\n                                   VK_SHADER_STAGE_VERTEX_BIT);\n\n  VertexInputState vertex_input_state;\n\n  for (auto& input_resource : vertex_input_resources) {\n    if (auto attribute = mesh.GetAttribute(input_resource.name)) {\n      VkVertexInputAttributeDescription vertex_attribute{};\n      vertex_attribute.binding = input_resource.location;\n      vertex_attribute.format = attribute->format;\n      vertex_attribute.location = input_resource.location;\n      vertex_attribute.offset = attribute->offset;\n\n      vertex_input_state.attributes.push_back(vertex_attribute);\n\n      VkVertexInputBindingDescription vertex_binding{};\n      vertex_binding.binding = input_resource.location;\n      vertex_binding.stride = attribute->stride;\n\n      vertex_input_state.bindings.push_back(vertex_binding);\n    }\n  }\n\n  command_buffer.SetVertexInputState(vertex_input_state);\n\n  for (auto& input_resource : vertex_input_resources) {\n    core::Buffer* buffer =\n        mesh.GetVertexObject().FindResource(input_resource.name);\n    if (buffer != nullptr) {\n      command_buffer.BindVertexBuffers(input_resource.location, {buffer}, {0});\n    } else {\n      throw std::runtime_error(\"Cannot find resource \" + input_resource.name +\n                               \" in the mesh!\");\n    }\n  }\n\n  DrawSubmeshCommand(command_buffer, mesh);\n}\n\nvoid GeometrySubpass::DrawSubmeshCommand(CommandBuffer& command_buffer,\n                                         st::Mesh& mesh) {\n  command_buffer.BindIndexBuffer(mesh.GetVertexObject().GetIndexBuffer(),\n                                 mesh.GetIndexOffset(), VK_INDEX_TYPE_UINT32);\n  command_buffer.DrawIndexed(mesh.GetIndexCount(), 1, 0, 0, 0);\n}\n\nvoid GeometrySubpass::UpdateUniform(CommandBuffer& command_buffer,\n                                    st::Node& node) {\n  GlobalUniform global_uniform;\n  const st::Camera& camera = *scene_.GetActiveCameraPtr();\n\n  global_uniform.view_proj_mat =\n      VulkanStyleProjection(camera.GetProjectionMatrix()) *\n      camera.GetViewMatrix();\n  global_uniform.camera_position =\n      camera.GetNode()->GetTransform().GetWorldPosition();\n\n  st::Transform& transform = node.GetTransform();\n\n  global_uniform.model_mat = transform.GetLocalToWorldMatrix();\n  global_uniform.normal_mat =\n      glm::transpose(glm::inverse(glm::mat3(global_uniform.model_mat)));\n\n  RenderFrame& render_frame = render_context_.GetActiveFrame();\n  core::Buffer& buffer = render_frame.AllocateBuffer(\n      VK_BUFFER_USAGE_UNIFORM_BUFFER_BIT, sizeof(GlobalUniform));\n  buffer.ConvertAndUpdate(global_uniform);\n\n  // Global uniform is always at set = 0, binding = 1.\n  command_buffer.BindBuffer(buffer, 0, buffer.GetSize(), 0, 1, 0);\n}\n\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/GraphicsPipeline.cpp",
    "content": "#include \"vkoo/core/GraphicsPipeline.h\"\n\n#include \"vkoo/core/Device.h\"\n#include \"vkoo/logging.h\"\n\nnamespace vkoo {\nGraphicsPipeline::GraphicsPipeline(Device& device,\n                                   PipelineState& pipeline_state)\n    : device_(device) {\n  std::vector<VkShaderModule> shader_modules;\n\n  std::vector<VkPipelineShaderStageCreateInfo> stage_create_infos;\n\n  for (const ShaderModule* shader_module :\n       pipeline_state.GetPipelineLayout()->GetShaderModules()) {\n    VkPipelineShaderStageCreateInfo stage_create_info{\n        VK_STRUCTURE_TYPE_PIPELINE_SHADER_STAGE_CREATE_INFO};\n\n    stage_create_info.stage = shader_module->GetStage();\n    stage_create_info.pName = shader_module->GetEntryPoint().c_str();\n\n    VkShaderModuleCreateInfo vk_create_info{\n        VK_STRUCTURE_TYPE_SHADER_MODULE_CREATE_INFO};\n\n    vk_create_info.codeSize =\n        shader_module->GetBinary().size() * sizeof(uint32_t);\n    vk_create_info.pCode = shader_module->GetBinary().data();\n\n    VK_CHECK(vkCreateShaderModule(device_.GetHandle(), &vk_create_info, nullptr,\n                                  &stage_create_info.module));\n\n    stage_create_infos.push_back(stage_create_info);\n    shader_modules.push_back(stage_create_info.module);\n  }\n\n  VkGraphicsPipelineCreateInfo create_info{\n      VK_STRUCTURE_TYPE_GRAPHICS_PIPELINE_CREATE_INFO};\n\n  create_info.stageCount = static_cast<uint32_t>(stage_create_infos.size());\n  create_info.pStages = stage_create_infos.data();\n\n  VkPipelineVertexInputStateCreateInfo vertex_input_state{\n      VK_STRUCTURE_TYPE_PIPELINE_VERTEX_INPUT_STATE_CREATE_INFO};\n\n  vertex_input_state.pVertexAttributeDescriptions =\n      pipeline_state.GetVertexInputState().attributes.data();\n  vertex_input_state.vertexAttributeDescriptionCount = static_cast<uint32_t>(\n      pipeline_state.GetVertexInputState().attributes.size());\n\n  vertex_input_state.pVertexBindingDescriptions =\n      pipeline_state.GetVertexInputState().bindings.data();\n  vertex_input_state.vertexBindingDescriptionCount = static_cast<uint32_t>(\n      pipeline_state.GetVertexInputState().bindings.size());\n\n  VkPipelineInputAssemblyStateCreateInfo input_assembly_state{\n      VK_STRUCTURE_TYPE_PIPELINE_INPUT_ASSEMBLY_STATE_CREATE_INFO};\n\n  input_assembly_state.topology =\n      pipeline_state.GetInputAssemblyState().topology;\n  input_assembly_state.primitiveRestartEnable =\n      pipeline_state.GetInputAssemblyState().primitive_restart_enable;\n\n  VkPipelineViewportStateCreateInfo viewport_state{\n      VK_STRUCTURE_TYPE_PIPELINE_VIEWPORT_STATE_CREATE_INFO};\n\n  viewport_state.viewportCount =\n      pipeline_state.GetViewportState().viewport_count;\n  viewport_state.scissorCount = pipeline_state.GetViewportState().scissor_count;\n\n  VkPipelineRasterizationStateCreateInfo rasterization_state{\n      VK_STRUCTURE_TYPE_PIPELINE_RASTERIZATION_STATE_CREATE_INFO};\n\n  rasterization_state.depthClampEnable =\n      pipeline_state.GetRasterizationState().depth_clamp_enable;\n  rasterization_state.rasterizerDiscardEnable =\n      pipeline_state.GetRasterizationState().rasterizer_discard_enable;\n  rasterization_state.polygonMode =\n      pipeline_state.GetRasterizationState().polygon_mode;\n  rasterization_state.cullMode =\n      pipeline_state.GetRasterizationState().cull_mode;\n  rasterization_state.frontFace =\n      pipeline_state.GetRasterizationState().front_face;\n  rasterization_state.depthBiasEnable =\n      pipeline_state.GetRasterizationState().depth_bias_enable;\n  // rasterization_state.depthBiasClamp = 1.0f;\n  // rasterization_state.depthBiasSlopeFactor = 1.0f;\n  rasterization_state.lineWidth =\n      pipeline_state.GetRasterizationState().line_width;\n\n  VkPipelineMultisampleStateCreateInfo multisample_state{\n      VK_STRUCTURE_TYPE_PIPELINE_MULTISAMPLE_STATE_CREATE_INFO};\n\n  multisample_state.rasterizationSamples =\n      pipeline_state.GetMultisampleState().rasterization_samples;\n  multisample_state.sampleShadingEnable =\n      pipeline_state.GetMultisampleState().sample_shading_enable;\n  multisample_state.minSampleShading =\n      pipeline_state.GetMultisampleState().min_sample_shading;\n\n  VkPipelineDepthStencilStateCreateInfo depth_stencil_state{\n      VK_STRUCTURE_TYPE_PIPELINE_DEPTH_STENCIL_STATE_CREATE_INFO};\n\n  depth_stencil_state.depthTestEnable =\n      pipeline_state.GetDepthStencilState().depth_test_enable;\n  depth_stencil_state.depthWriteEnable =\n      pipeline_state.GetDepthStencilState().depth_write_enable;\n  depth_stencil_state.depthCompareOp =\n      pipeline_state.GetDepthStencilState().depth_compare_op;\n  depth_stencil_state.depthBoundsTestEnable =\n      pipeline_state.GetDepthStencilState().depth_bounds_test_enable;\n\n  VkPipelineColorBlendStateCreateInfo color_blend_state{\n      VK_STRUCTURE_TYPE_PIPELINE_COLOR_BLEND_STATE_CREATE_INFO};\n\n  color_blend_state.logicOpEnable =\n      pipeline_state.GetColorBlendState().logic_op_enable;\n  color_blend_state.logicOp = pipeline_state.GetColorBlendState().logic_op;\n  color_blend_state.attachmentCount = static_cast<uint32_t>(\n      pipeline_state.GetColorBlendState().attachments.size());\n  color_blend_state.pAttachments =\n      reinterpret_cast<const VkPipelineColorBlendAttachmentState*>(\n          pipeline_state.GetColorBlendState().attachments.data());\n  color_blend_state.blendConstants[0] = 1.0f;\n  color_blend_state.blendConstants[1] = 1.0f;\n  color_blend_state.blendConstants[2] = 1.0f;\n  color_blend_state.blendConstants[3] = 1.0f;\n\n  std::array<VkDynamicState, 2> dynamic_states{\n      VK_DYNAMIC_STATE_VIEWPORT, VK_DYNAMIC_STATE_SCISSOR,\n      // VK_DYNAMIC_STATE_LINE_WIDTH\n      //      VK_DYNAMIC_STATE_DEPTH_BIAS,\n      //      VK_DYNAMIC_STATE_BLEND_CONSTANTS,\n      //      VK_DYNAMIC_STATE_DEPTH_BOUNDS,\n      //      VK_DYNAMIC_STATE_STENCIL_COMPARE_MASK,\n      //      VK_DYNAMIC_STATE_STENCIL_WRITE_MASK,\n      //      VK_DYNAMIC_STATE_STENCIL_REFERENCE,\n  };\n\n  VkPipelineDynamicStateCreateInfo dynamic_state{\n      VK_STRUCTURE_TYPE_PIPELINE_DYNAMIC_STATE_CREATE_INFO};\n\n  dynamic_state.pDynamicStates = dynamic_states.data();\n  dynamic_state.dynamicStateCount =\n      static_cast<uint32_t>(dynamic_states.size());\n\n  create_info.pVertexInputState = &vertex_input_state;\n  create_info.pInputAssemblyState = &input_assembly_state;\n  create_info.pViewportState = &viewport_state;\n  create_info.pRasterizationState = &rasterization_state;\n  create_info.pMultisampleState = &multisample_state;\n  create_info.pDepthStencilState = &depth_stencil_state;\n  create_info.pColorBlendState = &color_blend_state;\n  create_info.pDynamicState = &dynamic_state;\n\n  create_info.layout = pipeline_state.GetPipelineLayout()->GetHandle();\n  create_info.renderPass = pipeline_state.GetRenderPass()->GetHandle();\n  create_info.subpass = pipeline_state.GetSubpassIndex();\n\n  VK_CHECK(vkCreateGraphicsPipelines(device_.GetHandle(), VK_NULL_HANDLE, 1,\n                                     &create_info, nullptr, &handle_));\n\n  for (auto shader_module : shader_modules) {\n    vkDestroyShaderModule(device.GetHandle(), shader_module, nullptr);\n  }\n\n  state_ = pipeline_state;\n}\n\nGraphicsPipeline::GraphicsPipeline(GraphicsPipeline&& other)\n    : device_{other.device_}, handle_{other.handle_}, state_{other.state_} {\n  other.handle_ = VK_NULL_HANDLE;\n}\n\nGraphicsPipeline::~GraphicsPipeline() {\n  if (handle_ != VK_NULL_HANDLE) {\n    vkDestroyPipeline(device_.GetHandle(), handle_, nullptr);\n  }\n}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/Gui.cpp",
    "content": "#include \"vkoo/core/Gui.h\"\n\n#include \"imgui.h\"\n#include \"vkoo/core/Application.h\"\n#include \"vkoo/core/ShaderModule.h\"\n#include \"vkoo/logging.h\"\n#include \"vkoo/utils.h\"\n\nnamespace vkoo {\nnamespace {\nstatic const char* ImGui_ImplGlfw_GetClipboardText(void* user_data) {\n  return glfwGetClipboardString((GLFWwindow*)user_data);\n}\n\nstatic void ImGui_ImplGlfw_SetClipboardText(void* user_data, const char* text) {\n  glfwSetClipboardString((GLFWwindow*)user_data, text);\n}\n\nvoid UploadRawData(ImDrawData* draw_data, const uint8_t* vertex_data,\n                   const uint8_t* index_data) {\n  ImDrawVert* vtx_dst = (ImDrawVert*)vertex_data;\n  ImDrawIdx* idx_dst = (ImDrawIdx*)index_data;\n\n  for (int n = 0; n < draw_data->CmdListsCount; n++) {\n    const ImDrawList* cmd_list = draw_data->CmdLists[n];\n    memcpy(vtx_dst, cmd_list->VtxBuffer.Data,\n           cmd_list->VtxBuffer.Size * sizeof(ImDrawVert));\n    memcpy(idx_dst, cmd_list->IdxBuffer.Data,\n           cmd_list->IdxBuffer.Size * sizeof(ImDrawIdx));\n    vtx_dst += cmd_list->VtxBuffer.Size;\n    idx_dst += cmd_list->IdxBuffer.Size;\n  }\n}\n}  // namespace\n\nGui::Gui(Application& application, float font_size)\n    : application_{application},\n      font_size_{font_size},\n      content_scale_factor_{application.GetContentScaleFactor()},\n      dpi_factor_{application.GetDpiFactor()} {\n  ImGui::CreateContext();\n\n  // Styles.\n  ImGui::StyleColorsDark();\n  ImGuiStyle& style = ImGui::GetStyle();\n  style.WindowPadding = {12.0f, 12.0f};\n  style.WindowRounding = 8.0f;\n  style.FrameRounding = 6.0f;\n  style.GrabRounding = style.FrameRounding;\n  style.GrabMinSize = 8.0f;\n  style.IndentSpacing = 1.0f;\n  {\n    ImVec4* colors = ImGui::GetStyle().Colors;\n    colors[ImGuiCol_TitleBgActive] = ImVec4(0.05f, 0.26f, 0.25f, 1.00f);\n    colors[ImGuiCol_TitleBgCollapsed] = ImVec4(0.14f, 0.13f, 0.13f, 0.51f);\n  }\n\n  style.WindowMenuButtonPosition = ImGuiDir_Right;\n  style.WindowBorderSize = 0.0f;\n  style.ScaleAllSizes(1.0f * dpi_factor_);\n\n  // Dimensions.\n  ImGuiIO& io = ImGui::GetIO();\n  auto extent = application_.GetRenderContext().GetSurfaceExtent();\n  io.DisplaySize.x = static_cast<float>(extent.width);\n  io.DisplaySize.y = static_cast<float>(extent.height);\n  io.FontGlobalScale = 1.0f;\n  io.DisplayFramebufferScale = ImVec2(1.0f, 1.0f);\n\n  // io.MouseDoubleClickTime = 1.0f;\n\n  // Enable keyboard navigation.\n  io.KeyMap[ImGuiKey_Tab] = GLFW_KEY_TAB;\n  io.KeyMap[ImGuiKey_LeftArrow] = GLFW_KEY_LEFT;\n  io.KeyMap[ImGuiKey_RightArrow] = GLFW_KEY_RIGHT;\n  io.KeyMap[ImGuiKey_UpArrow] = GLFW_KEY_UP;\n  io.KeyMap[ImGuiKey_DownArrow] = GLFW_KEY_DOWN;\n  io.KeyMap[ImGuiKey_PageUp] = GLFW_KEY_PAGE_UP;\n  io.KeyMap[ImGuiKey_PageDown] = GLFW_KEY_PAGE_DOWN;\n  io.KeyMap[ImGuiKey_Home] = GLFW_KEY_HOME;\n  io.KeyMap[ImGuiKey_End] = GLFW_KEY_END;\n  io.KeyMap[ImGuiKey_Insert] = GLFW_KEY_INSERT;\n  io.KeyMap[ImGuiKey_Delete] = GLFW_KEY_DELETE;\n  io.KeyMap[ImGuiKey_Backspace] = GLFW_KEY_BACKSPACE;\n  io.KeyMap[ImGuiKey_Space] = GLFW_KEY_SPACE;\n  io.KeyMap[ImGuiKey_Enter] = GLFW_KEY_ENTER;\n  io.KeyMap[ImGuiKey_Escape] = GLFW_KEY_ESCAPE;\n  io.KeyMap[ImGuiKey_KeyPadEnter] = GLFW_KEY_KP_ENTER;\n\n  io.SetClipboardTextFn = ImGui_ImplGlfw_SetClipboardText;\n  io.GetClipboardTextFn = ImGui_ImplGlfw_GetClipboardText;\n  io.ClipboardUserData = application_.GetGLFWWindow();\n\n  io.ConfigFlags |= ImGuiConfigFlags_NavEnableKeyboard;\n\n  PrepareFont();\n\n  Device& device = application_.GetRenderContext().GetDevice();\n\n  // Prepare shaders.\n  std::vector<ShaderModule*> shader_modules;\n  shader_modules.push_back(&device.GetResourceCache().RequestShaderModule(\n      VK_SHADER_STAGE_VERTEX_BIT,\n      ShaderSource{GetShaderPath() + \"/imgui.vert\", \"main\"}));\n  shader_modules.push_back(&device.GetResourceCache().RequestShaderModule(\n      VK_SHADER_STAGE_FRAGMENT_BIT,\n      ShaderSource{GetShaderPath() + \"/imgui.frag\", \"main\"}));\n  pipeline_layout_ =\n      &device.GetResourceCache().RequestPipelineLayout(shader_modules);\n\n  // Create sampler.\n  VkSamplerCreateInfo sampler_info{VK_STRUCTURE_TYPE_SAMPLER_CREATE_INFO};\n  sampler_info.maxAnisotropy = 1.0f;\n  sampler_info.magFilter = VK_FILTER_LINEAR;\n  sampler_info.minFilter = VK_FILTER_LINEAR;\n  sampler_info.mipmapMode = VK_SAMPLER_MIPMAP_MODE_NEAREST;\n  sampler_info.addressModeU = VK_SAMPLER_ADDRESS_MODE_CLAMP_TO_EDGE;\n  sampler_info.addressModeV = VK_SAMPLER_ADDRESS_MODE_CLAMP_TO_EDGE;\n  sampler_info.addressModeW = VK_SAMPLER_ADDRESS_MODE_CLAMP_TO_EDGE;\n  sampler_info.borderColor = VK_BORDER_COLOR_FLOAT_OPAQUE_WHITE;\n\n  sampler_ = std::make_unique<core::Sampler>(device, sampler_info);\n}\n\nGui::~Gui() { ImGui::DestroyContext(); }\n\nvoid Gui::PrepareFont() {\n  // Default font.\n  fonts_.emplace_back(kDefaultFont, font_size_ * dpi_factor_);\n\n  // Create font texture.\n  unsigned char* font_data;\n  int tex_width, tex_height;\n  ImGuiIO& io = ImGui::GetIO();\n  io.Fonts->GetTexDataAsRGBA32(&font_data, &tex_width, &tex_height);\n  size_t upload_size = tex_width * tex_height * 4 * sizeof(char);\n\n  Device& device = application_.GetRenderContext().GetDevice();\n\n  // Create target image for copy.\n  VkExtent2D font_extent{static_cast<uint32_t>(tex_width),\n                         static_cast<uint32_t>(tex_height)};\n  font_image_ = std::make_unique<core::Image>(\n      device, font_extent, VK_FORMAT_R8G8B8A8_UNORM,\n      VK_IMAGE_USAGE_SAMPLED_BIT | VK_IMAGE_USAGE_TRANSFER_DST_BIT,\n      VK_MEMORY_PROPERTY_DEVICE_LOCAL_BIT);\n  font_image_view_ =\n      std::make_unique<core::ImageView>(*font_image_, VK_IMAGE_VIEW_TYPE_2D);\n\n  // Upload font data into the vulkan image memory.\n  {\n    core::Buffer staging_buffer{device, upload_size,\n                                VK_BUFFER_USAGE_TRANSFER_SRC_BIT,\n                                VK_MEMORY_PROPERTY_HOST_VISIBLE_BIT |\n                                    VK_MEMORY_PROPERTY_HOST_COHERENT_BIT};\n    staging_buffer.Update({font_data, font_data + upload_size});\n\n    auto& command_buffer = device.RequestCommandBuffer();\n\n    FencePool fence_pool{device};\n\n    command_buffer.Begin(VK_COMMAND_BUFFER_USAGE_ONE_TIME_SUBMIT_BIT);\n\n    {\n      ImageMemoryBarrier memory_barrier{};\n      memory_barrier.old_layout = VK_IMAGE_LAYOUT_UNDEFINED;\n      memory_barrier.new_layout = VK_IMAGE_LAYOUT_TRANSFER_DST_OPTIMAL;\n      memory_barrier.src_access_mask = 0;\n      memory_barrier.dst_access_mask = VK_ACCESS_TRANSFER_WRITE_BIT;\n      memory_barrier.src_stage_mask = VK_PIPELINE_STAGE_HOST_BIT;\n      memory_barrier.dst_stage_mask = VK_PIPELINE_STAGE_TRANSFER_BIT;\n\n      command_buffer.InsertImageMemoryBarrier(*font_image_view_,\n                                              memory_barrier);\n    }\n\n    VkBufferImageCopy buffer_copy_region{};\n    buffer_copy_region.imageSubresource.layerCount =\n        font_image_view_->GetSubresourceRange().layerCount;\n    buffer_copy_region.imageSubresource.aspectMask =\n        font_image_view_->GetSubresourceRange().aspectMask;\n    buffer_copy_region.imageExtent.width = font_image_->GetExtent().width;\n    buffer_copy_region.imageExtent.height = font_image_->GetExtent().height;\n    buffer_copy_region.imageExtent.depth = 1;\n\n    command_buffer.CopyBufferToImage(staging_buffer, *font_image_,\n                                     {buffer_copy_region});\n\n    {\n      ImageMemoryBarrier memory_barrier{};\n      memory_barrier.old_layout = VK_IMAGE_LAYOUT_TRANSFER_DST_OPTIMAL;\n      memory_barrier.new_layout = VK_IMAGE_LAYOUT_SHADER_READ_ONLY_OPTIMAL;\n      memory_barrier.src_access_mask = 0;\n      memory_barrier.dst_access_mask = VK_ACCESS_SHADER_READ_BIT;\n      memory_barrier.src_stage_mask = VK_PIPELINE_STAGE_TRANSFER_BIT;\n      memory_barrier.dst_stage_mask = VK_PIPELINE_STAGE_FRAGMENT_SHADER_BIT;\n\n      command_buffer.InsertImageMemoryBarrier(*font_image_view_,\n                                              memory_barrier);\n    }\n\n    command_buffer.End();\n\n    auto& queue = device.GetQueueByFlags(VK_QUEUE_GRAPHICS_BIT, 0);\n\n    queue.Submit(command_buffer, device.RequestFence());\n\n    device.GetFencePool().Wait();\n    device.GetFencePool().Reset();\n    device.GetCommandPool().ResetPool();\n    device.WaitIdle();\n  }\n}\n\nvoid Gui::Draw(CommandBuffer& command_buffer) {\n  // Vertex input state.\n  VkVertexInputBindingDescription vertex_input_binding{};\n  vertex_input_binding.stride = static_cast<uint32_t>(sizeof(ImDrawVert));\n\n  // Location 0: Position.\n  VkVertexInputAttributeDescription pos_attr{};\n  pos_attr.format = VK_FORMAT_R32G32_SFLOAT;\n  pos_attr.offset = static_cast<uint32_t>(offsetof(ImDrawVert, pos));\n\n  // Location 1: UV.\n  VkVertexInputAttributeDescription uv_attr{};\n  uv_attr.location = 1;\n  uv_attr.format = VK_FORMAT_R32G32_SFLOAT;\n  uv_attr.offset = static_cast<uint32_t>(offsetof(ImDrawVert, uv));\n\n  // Location 2: Color.\n  VkVertexInputAttributeDescription col_attr{};\n  col_attr.location = 2;\n  col_attr.format = VK_FORMAT_R8G8B8A8_UNORM;\n  col_attr.offset = static_cast<uint32_t>(offsetof(ImDrawVert, col));\n\n  VertexInputState vertex_input_state{};\n  vertex_input_state.bindings = {vertex_input_binding};\n  vertex_input_state.attributes = {pos_attr, uv_attr, col_attr};\n\n  command_buffer.SetVertexInputState(vertex_input_state);\n\n  // Blend state.\n  ColorBlendAttachmentState color_attachment{};\n  color_attachment.blend_enable = VK_TRUE;\n  color_attachment.color_write_mask =\n      VK_COLOR_COMPONENT_R_BIT | VK_COLOR_COMPONENT_G_BIT |\n      VK_COLOR_COMPONENT_B_BIT | VK_COLOR_COMPONENT_A_BIT;\n  color_attachment.src_color_blend_factor = VK_BLEND_FACTOR_SRC_ALPHA;\n  color_attachment.dst_color_blend_factor = VK_BLEND_FACTOR_ONE_MINUS_SRC_ALPHA;\n  color_attachment.src_alpha_blend_factor = VK_BLEND_FACTOR_ONE_MINUS_SRC_ALPHA;\n  color_attachment.src_alpha_blend_factor = VK_BLEND_FACTOR_ONE;\n  color_attachment.dst_alpha_blend_factor = VK_BLEND_FACTOR_ONE;\n  color_attachment.alpha_blend_op = VK_BLEND_OP_MAX;\n\n  ColorBlendState blend_state{};\n  blend_state.attachments = {color_attachment};\n\n  command_buffer.SetColorBlendState(blend_state);\n\n  RasterizationState rasterization_state{};\n  rasterization_state.cull_mode = VK_CULL_MODE_NONE;\n  command_buffer.SetRasterizationState(rasterization_state);\n\n  DepthStencilState depth_state{};\n  depth_state.depth_test_enable = VK_FALSE;\n  depth_state.depth_write_enable = VK_FALSE;\n  command_buffer.SetDepthStencilState(depth_state);\n\n  // Bind pipeline layout.\n  command_buffer.BindPipelineLayout(*pipeline_layout_);\n\n  command_buffer.BindImage(*font_image_view_, *sampler_, 0, 0, 0);\n\n  // Pre-rotation: none on desktops.\n  ImGuiIO& io = ImGui::GetIO();\n  auto push_transform = glm::mat4(1.0f);\n\n  // GUI coordinate space to screen space.\n  push_transform =\n      glm::translate(push_transform, glm::vec3(-1.0f, -1.0f, 0.0f));\n  push_transform = glm::scale(\n      push_transform,\n      glm::vec3(2.0f / io.DisplaySize.x, 2.0f / io.DisplaySize.y, 0.0f));\n\n  // Push constants.\n  command_buffer.PushConstants(push_transform);\n\n  UpdateBuffers(command_buffer,\n                application_.GetRenderContext().GetActiveFrame());\n\n  // Render commands.\n  ImDrawData* draw_data = ImGui::GetDrawData();\n  int32_t vertex_offset = 0;\n  uint32_t index_offset = 0;\n\n  if (!draw_data || draw_data->CmdListsCount == 0) {\n    return;\n  }\n\n  for (int32_t i = 0; i < draw_data->CmdListsCount; i++) {\n    const ImDrawList* cmd_list = draw_data->CmdLists[i];\n    for (int32_t j = 0; j < cmd_list->CmdBuffer.Size; j++) {\n      const ImDrawCmd* cmd = &cmd_list->CmdBuffer[j];\n      VkRect2D scissor_rect;\n      scissor_rect.offset.x =\n          std::max(static_cast<int32_t>(cmd->ClipRect.x), 0);\n      scissor_rect.offset.y =\n          std::max(static_cast<int32_t>(cmd->ClipRect.y), 0);\n      scissor_rect.extent.width =\n          static_cast<uint32_t>(cmd->ClipRect.z - cmd->ClipRect.x);\n      scissor_rect.extent.height =\n          static_cast<uint32_t>(cmd->ClipRect.w - cmd->ClipRect.y);\n\n      command_buffer.SetScissor(0, {scissor_rect});\n      command_buffer.DrawIndexed(cmd->ElemCount, 1, index_offset, vertex_offset,\n                                 0);\n      index_offset += cmd->ElemCount;\n    }\n    vertex_offset += cmd_list->VtxBuffer.Size;\n  }\n}\n\nvoid Gui::UpdateBuffers(CommandBuffer& command_buffer,\n                        RenderFrame& render_frame) {\n  ImDrawData* draw_data = ImGui::GetDrawData();\n\n  if (!draw_data) {\n    return;\n  }\n\n  size_t vertex_buffer_size = draw_data->TotalVtxCount * sizeof(ImDrawVert);\n  size_t index_buffer_size = draw_data->TotalIdxCount * sizeof(ImDrawIdx);\n\n  if ((vertex_buffer_size == 0) || (index_buffer_size == 0)) {\n    return;\n  }\n\n  std::vector<uint8_t> vertex_data(vertex_buffer_size);\n  std::vector<uint8_t> index_data(index_buffer_size);\n\n  UploadRawData(draw_data, vertex_data.data(), index_data.data());\n\n  core::Buffer& vertex_buffer =\n      application_.GetRenderContext().GetActiveFrame().AllocateBuffer(\n          VK_BUFFER_USAGE_VERTEX_BUFFER_BIT, vertex_buffer_size);\n\n  vertex_buffer.Update(vertex_data);\n\n  command_buffer.BindVertexBuffers(0, {&vertex_buffer}, {0});\n\n  core::Buffer& index_buffer =\n      application_.GetRenderContext().GetActiveFrame().AllocateBuffer(\n          VK_BUFFER_USAGE_INDEX_BUFFER_BIT, index_buffer_size);\n\n  index_buffer.Update(index_data);\n\n  command_buffer.BindIndexBuffer(index_buffer, 0, VK_INDEX_TYPE_UINT16);\n}\n\nvoid Gui::Update(float delta_time) {\n  // Update imGui.\n  ImGuiIO& io = ImGui::GetIO();\n  auto extent = application_.GetRenderContext().GetSurfaceExtent();\n  Resize(extent.width, extent.height);\n  io.DeltaTime = delta_time;\n\n  // Render to generate draw buffers.\n  ImGui::Render();\n}\n\nvoid Gui::NewFrame() { ImGui::NewFrame(); }\n\nvoid Gui::Resize(uint32_t width, uint32_t height) {\n  ImGuiIO& io = ImGui::GetIO();\n  io.DisplaySize.x = static_cast<float>(width);\n  io.DisplaySize.y = static_cast<float>(height);\n\n  content_scale_factor_ = application_.GetContentScaleFactor();\n}\n\nFont::Font(const std::string& name, float size)\n    : name_{name},\n      data_{ReadBinaryFile(GetAssetPath() + \"/fonts/\" + name + \".ttf\")} {\n  // Keep ownership of the font data to avoid a double delete.\n  ImFontConfig font_config{};\n  font_config.FontDataOwnedByAtlas = false;\n\n  ImGuiIO& io = ImGui::GetIO();\n  handle_ = io.Fonts->AddFontFromMemoryTTF(\n      data_.data(), static_cast<int>(data_.size()), size, &font_config);\n}\n\nbool Gui::HandleInputEvent(const InputEvent& event) {\n  ImGuiIO& io = ImGui::GetIO();\n  bool captured = false;\n  if (event.GetSource() == EventSource::Mouse) {\n    auto& mouse_event = static_cast<const MouseButtonInputEvent&>(event);\n    io.MousePos = ImVec2{mouse_event.GetXPos() * content_scale_factor_,\n                         mouse_event.GetYPos() * content_scale_factor_};\n    // Direct casting button id is compatible.\n    auto button_id = static_cast<int>(mouse_event.GetButton());\n    if (mouse_event.GetAction() == MouseAction::Down) {\n      io.MouseDown[button_id] = true;\n      // FIXME: right now don't capture mouse down event if it is not hovered\n      // over any window or any popup. This is a bit hacky.\n      captured =\n          ImGui::IsWindowHovered(ImGuiHoveredFlags_AnyWindow |\n                                 ImGuiHoveredFlags_AllowWhenBlockedByPopup);\n    } else if (mouse_event.GetAction() == MouseAction::Up) {\n      io.MouseDown[button_id] = false;\n      captured =\n          ImGui::IsWindowHovered(ImGuiHoveredFlags_AnyWindow |\n                                 ImGuiHoveredFlags_AllowWhenBlockedByPopup);\n    } else if (mouse_event.GetAction() == MouseAction::Move) {\n      captured = io.WantCaptureMouse;\n    }\n  } else if (event.GetSource() == EventSource::Keyboard) {\n      auto& key_event = static_cast<const KeyInputEvent&>(event);\n      if (key_event.GetAction() == KeyAction::Down) {\n        io.KeysDown[key_event.GetCode()] = true;\n      }\n      if (key_event.GetAction() == KeyAction::Up) {\n        io.KeysDown[key_event.GetCode()] = false;\n      }\n      io.KeyCtrl = io.KeysDown[GLFW_KEY_LEFT_CONTROL] ||\n                   io.KeysDown[GLFW_KEY_RIGHT_CONTROL];\n      io.KeyShift =\n          io.KeysDown[GLFW_KEY_LEFT_SHIFT] || io.KeysDown[GLFW_KEY_RIGHT_SHIFT];\n      io.KeyAlt =\n          io.KeysDown[GLFW_KEY_LEFT_ALT] || io.KeysDown[GLFW_KEY_RIGHT_ALT];\n      io.KeySuper =\n          io.KeysDown[GLFW_KEY_LEFT_SUPER] || io.KeysDown[GLFW_KEY_RIGHT_SUPER];\n      if (io.WantCaptureKeyboard | io.WantTextInput) {\n        captured = true;\n      }\n  } else if (event.GetSource() == EventSource::Scroll) {\n    auto& scroll_event = static_cast<const ScrollInputEvent&>(event);\n    if (io.WantCaptureMouse) {\n      io.MouseWheelH += (float)scroll_event.GetXOffset();\n      io.MouseWheel += (float)scroll_event.GetYOffset();\n      captured = true;\n    }\n  }\n  return captured;\n}\n\nvoid Gui::HandleCharCallback(unsigned int codepoint) {\n  ImGuiIO& io = ImGui::GetIO();\n  io.AddInputCharacter(codepoint);\n}\n\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/Image.cpp",
    "content": "#include \"vkoo/core/Image.h\"\n\n#include \"vkoo/core/Device.h\"\n#include \"vkoo/utils.h\"\n\nnamespace vkoo {\nnamespace core {\nImage::Image(Device& device, VkImage handle, VkExtent2D extent, VkFormat format,\n             VkImageUsageFlags usage)\n    : device_{device},\n      handle_{handle},\n      extent_{extent},\n      format_{format},\n      usage_{usage} {\n  subresource_.mipLevel = 1;\n  subresource_.arrayLayer = 1;\n}\n\nImage::Image(Image&& other) noexcept\n    : device_{other.device_},\n      handle_{other.handle_},\n      extent_{other.extent_},\n      format_{other.format_},\n      usage_{other.usage_},\n      tiling_{other.tiling_},\n      sample_count_{other.sample_count_},\n      subresource_{other.subresource_},\n      memory_{other.memory_} {\n  other.handle_ = VK_NULL_HANDLE;\n  other.memory_ = VK_NULL_HANDLE;\n}\n\nImage::Image(Device& device, const VkExtent2D& extent, VkFormat format,\n             VkImageUsageFlags usage, VkMemoryPropertyFlags properties,\n             VkSampleCountFlagBits sample_count, VkImageTiling tiling,\n             VkImageCreateFlags flags)\n    : device_{device},\n      extent_{extent},\n      format_{format},\n      usage_{usage},\n      tiling_{tiling},\n      sample_count_{sample_count} {\n  subresource_.mipLevel = 1;\n  subresource_.arrayLayer = 1;\n\n  VkImageCreateInfo image_info{VK_STRUCTURE_TYPE_IMAGE_CREATE_INFO};\n  image_info.flags = flags;\n  image_info.imageType = VK_IMAGE_TYPE_2D;\n  image_info.extent.width = extent.width;\n  image_info.extent.height = extent.height;\n  image_info.extent.depth = 1;\n  image_info.format = format;\n  image_info.tiling = tiling;\n  image_info.usage = usage;\n  image_info.samples = sample_count;\n  image_info.sharingMode = VK_SHARING_MODE_EXCLUSIVE;\n  image_info.mipLevels = subresource_.mipLevel;\n  image_info.arrayLayers = subresource_.arrayLayer;\n\n  VK_CHECK(vkCreateImage(device.GetHandle(), &image_info, nullptr, &handle_));\n\n  VkMemoryRequirements mem_requirements;\n  vkGetImageMemoryRequirements(device_.GetHandle(), handle_, &mem_requirements);\n\n  VkMemoryAllocateInfo alloc_info{};\n  alloc_info.sType = VK_STRUCTURE_TYPE_MEMORY_ALLOCATE_INFO;\n  alloc_info.allocationSize = mem_requirements.size;\n  alloc_info.memoryTypeIndex =\n      FindMemoryType(device_, mem_requirements.memoryTypeBits, properties);\n\n  VK_CHECK(\n      vkAllocateMemory(device_.GetHandle(), &alloc_info, nullptr, &memory_));\n\n  VK_CHECK(vkBindImageMemory(device_.GetHandle(), handle_, memory_, 0));\n}\n\nImage::~Image() {\n  // Don't destroy swapchain images here.\n  if (handle_ != VK_NULL_HANDLE && memory_ != VK_NULL_HANDLE) {\n    vkDestroyImage(device_.GetHandle(), handle_, nullptr);\n    vkFreeMemory(device_.GetHandle(), memory_, nullptr);\n  }\n}\n}  // namespace core\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/ImageView.cpp",
    "content": "#include \"vkoo/core/ImageView.h\"\n\n#include \"vkoo/core/Device.h\"\n\nnamespace vkoo {\nnamespace core {\nImageView::ImageView(Image& image, VkImageViewType view_type)\n    : device_{image.GetDevice()}, image_{image}, format_{image.GetFormat()} {\n  // TODO: mipmap.\n  VkImageViewCreateInfo view_create_info{};\n  view_create_info.sType = VK_STRUCTURE_TYPE_IMAGE_VIEW_CREATE_INFO;\n  view_create_info.image = image_.GetHandle();\n  view_create_info.viewType = view_type;\n  view_create_info.format = format_;\n\n  subresource_range_.baseMipLevel = 0;\n  subresource_range_.levelCount = 1;\n  subresource_range_.baseArrayLayer = 0;\n  subresource_range_.layerCount = 1;\n\n  if (IsDepthStencilFormat(format_)) {\n    subresource_range_.aspectMask = VK_IMAGE_ASPECT_DEPTH_BIT;\n  } else {\n    subresource_range_.aspectMask = VK_IMAGE_ASPECT_COLOR_BIT;\n  }\n\n  view_create_info.components.r = VK_COMPONENT_SWIZZLE_IDENTITY;\n  view_create_info.components.g = VK_COMPONENT_SWIZZLE_IDENTITY;\n  view_create_info.components.b = VK_COMPONENT_SWIZZLE_IDENTITY;\n  view_create_info.components.a = VK_COMPONENT_SWIZZLE_IDENTITY;\n  view_create_info.subresourceRange = subresource_range_;\n\n  VK_CHECK(vkCreateImageView(image_.GetDevice().GetHandle(), &view_create_info,\n                             nullptr, &handle_));\n}\n\nImageView::ImageView(ImageView&& other)\n    : device_{other.device_},\n      image_{other.image_},\n      handle_{other.handle_},\n      format_{other.format_},\n      subresource_range_{other.subresource_range_} {\n  other.handle_ = VK_NULL_HANDLE;\n}\n\nImageView::~ImageView() {\n  if (handle_ != nullptr) {\n    vkDestroyImageView(device_.GetHandle(), handle_, nullptr);\n  }\n}\n\nVkImageSubresourceLayers ImageView::GetSubresourceLayers() const {\n  VkImageSubresourceLayers subresource{};\n  subresource.aspectMask = subresource_range_.aspectMask;\n  subresource.baseArrayLayer = subresource_range_.baseArrayLayer;\n  subresource.layerCount = subresource_range_.layerCount;\n  subresource.mipLevel = subresource_range_.baseMipLevel;\n  return subresource;\n}\n}  // namespace core\n\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/InputEvent.cpp",
    "content": "#include \"vkoo/core/InputEvent.h\"\n\nnamespace vkoo {\nInputEvent::InputEvent(EventSource source) : source_{source} {}\n\nKeyInputEvent::KeyInputEvent(int code, KeyAction action)\n    : InputEvent{EventSource::Keyboard}, code_{code}, action_{action} {}\n\nMouseButtonInputEvent::MouseButtonInputEvent(MouseButton button,\n                                             MouseAction action, float x_pos,\n                                             float y_pos)\n    : InputEvent{EventSource::Mouse},\n      button_{button},\n      action_{action},\n      x_pos_{x_pos},\n      y_pos_{y_pos} {}\n\nScrollInputEvent::ScrollInputEvent(double x_offset, double y_offset)\n    : InputEvent{EventSource::Scroll},\n      x_offset_{x_offset},\n      y_offset_{y_offset} {}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/Instance.cpp",
    "content": "#include \"vkoo/core/Instance.h\"\n\n#include \"vkoo/core/PhysicalDevice.h\"\n\nnamespace vkoo {\nnamespace {\nstatic VKAPI_ATTR VkBool32 VKAPI_CALL\nDebugCallback(VkDebugUtilsMessageSeverityFlagBitsEXT message_severity,\n              VkDebugUtilsMessageTypeFlagsEXT message_type,\n              const VkDebugUtilsMessengerCallbackDataEXT* p_callback_data,\n              void* pUserData) {\n  std::cerr << \"Validation layer: \" << p_callback_data->pMessage << std::endl;\n  throw std::runtime_error(\"Ugh!\");\n\n  return VK_FALSE;\n}\n}  // namespace\n\nInstance::Instance(const std::string& application_name,\n                   const std::vector<const char*>& required_extensions,\n                   bool enable_validation_layer)\n    : enable_validation_layer_(enable_validation_layer),\n      enabled_extensions_(required_extensions) {\n  if (enable_validation_layer_ && !CheckValidationLayerSupport()) {\n    throw std::runtime_error(\"Validation layers requested but not available!\");\n  }\n\n  VkApplicationInfo app_info{};\n  app_info.sType = VK_STRUCTURE_TYPE_APPLICATION_INFO;\n  app_info.pApplicationName = application_name.c_str();\n  app_info.pEngineName = \"No Engine\";\n  app_info.apiVersion = VK_API_VERSION_1_2;\n\n  VkInstanceCreateInfo create_info{};\n  create_info.sType = VK_STRUCTURE_TYPE_INSTANCE_CREATE_INFO;\n  create_info.pApplicationInfo = &app_info;\n\n  if (enable_validation_layer_) {\n    enabled_extensions_.push_back(VK_EXT_DEBUG_UTILS_EXTENSION_NAME);\n  }\n  create_info.enabledExtensionCount =\n      static_cast<uint32_t>(enabled_extensions_.size());\n  create_info.ppEnabledExtensionNames = enabled_extensions_.data();\n\n  VkDebugUtilsMessengerCreateInfoEXT debug_create_info;\n  if (enable_validation_layer_) {\n    create_info.enabledLayerCount = 1;\n    create_info.ppEnabledLayerNames = &kValidationLayerName;\n\n    PopulateDebugMessengerCreateInfo(debug_create_info);\n    create_info.pNext = &debug_create_info;\n  } else {\n    create_info.enabledLayerCount = 0;\n    create_info.pNext = nullptr;\n  }\n\n  VK_CHECK(vkCreateInstance(&create_info, nullptr, &handle_));\n\n  if (enable_validation_layer_) {\n    auto func = (PFN_vkCreateDebugUtilsMessengerEXT)vkGetInstanceProcAddr(\n        handle_, \"vkCreateDebugUtilsMessengerEXT\");\n    if (func != nullptr) {\n      VK_CHECK(func(handle_, &debug_create_info, nullptr, &debug_messenger_));\n    } else {\n      throw std::runtime_error(\n          \"Cannot find function vkCreateDebugUtilsMessengerEXT!\");\n    }\n  }\n\n  QueryGPUs();\n}\n\nInstance::~Instance() {\n  if (debug_messenger_ != VK_NULL_HANDLE) {\n    auto func = (PFN_vkDestroyDebugUtilsMessengerEXT)vkGetInstanceProcAddr(\n        handle_, \"vkDestroyDebugUtilsMessengerEXT\");\n    if (func != nullptr) {\n      func(handle_, debug_messenger_, nullptr);\n    }\n  }\n}\n\nbool Instance::CheckValidationLayerSupport() {\n  uint32_t layer_count;\n  vkEnumerateInstanceLayerProperties(&layer_count, nullptr);\n\n  std::vector<VkLayerProperties> available_layers(layer_count);\n  vkEnumerateInstanceLayerProperties(&layer_count, available_layers.data());\n  for (const auto& layer_properties : available_layers) {\n    if (strcmp(kValidationLayerName, layer_properties.layerName) == 0)\n      return true;\n  }\n\n  return false;\n}\n\nvoid Instance::PopulateDebugMessengerCreateInfo(\n    VkDebugUtilsMessengerCreateInfoEXT& create_info) {\n  create_info = {};\n  create_info.sType = VK_STRUCTURE_TYPE_DEBUG_UTILS_MESSENGER_CREATE_INFO_EXT;\n  create_info.messageSeverity =\n      // VK_DEBUG_UTILS_MESSAGE_SEVERITY_VERBOSE_BIT_EXT |\n      VK_DEBUG_UTILS_MESSAGE_SEVERITY_WARNING_BIT_EXT |\n      VK_DEBUG_UTILS_MESSAGE_SEVERITY_ERROR_BIT_EXT;\n  create_info.messageType = VK_DEBUG_UTILS_MESSAGE_TYPE_GENERAL_BIT_EXT |\n                            VK_DEBUG_UTILS_MESSAGE_TYPE_VALIDATION_BIT_EXT |\n                            VK_DEBUG_UTILS_MESSAGE_TYPE_PERFORMANCE_BIT_EXT;\n  create_info.pfnUserCallback = DebugCallback;\n}\n\nvoid Instance::QueryGPUs() {\n  uint32_t device_count = 0;\n  vkEnumeratePhysicalDevices(handle_, &device_count, nullptr);\n\n  if (device_count == 0) {\n    throw std::runtime_error(\"Failed to find GPUs with Vulkan support!\");\n  }\n\n  std::vector<VkPhysicalDevice> devices(device_count);\n  vkEnumeratePhysicalDevices(handle_, &device_count, devices.data());\n\n  for (auto device : devices) {\n    gpus_.push_back(std::make_unique<PhysicalDevice>(*this, device));\n  }\n}\n\nPhysicalDevice& Instance::GetSuitableGPU() {\n  assert(!gpus_.empty() && \"No physical devices were found on the system.\");\n\n  for (auto& gpu : gpus_) {\n    if (gpu->GetProperties().deviceType ==\n        VK_PHYSICAL_DEVICE_TYPE_DISCRETE_GPU) {\n      return *gpu;\n    }\n  }\n\n  return *gpus_[0];\n}\n\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/PhysicalDevice.cpp",
    "content": "#include \"vkoo/core/PhysicalDevice.h\"\n\n#include \"vkoo/core/Instance.h\"\n\nnamespace vkoo {\nPhysicalDevice::PhysicalDevice(Instance& instance,\n                               VkPhysicalDevice physical_device)\n    : instance_(instance), handle_(physical_device) {\n  vkGetPhysicalDeviceFeatures(physical_device, &features_);\n  vkGetPhysicalDeviceProperties(physical_device, &properties_);\n  vkGetPhysicalDeviceMemoryProperties(physical_device, &memory_properties_);\n\n  uint32_t queue_family_properties_count = 0;\n  vkGetPhysicalDeviceQueueFamilyProperties(\n      physical_device, &queue_family_properties_count, nullptr);\n  queue_family_properties_.resize(queue_family_properties_count);\n  vkGetPhysicalDeviceQueueFamilyProperties(physical_device,\n                                           &queue_family_properties_count,\n                                           queue_family_properties_.data());\n}\nVkBool32 PhysicalDevice::IsPresentSupported(VkSurfaceKHR surface,\n                                            uint32_t queue_family_index) const {\n  VkBool32 present_supported{VK_FALSE};\n\n  if (surface != VK_NULL_HANDLE) {\n    VK_CHECK(vkGetPhysicalDeviceSurfaceSupportKHR(handle_, queue_family_index,\n                                                  surface, &present_supported));\n  }\n\n  return present_supported;\n}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/PipelineLayout.cpp",
    "content": "#include \"vkoo/core/PipelineLayout.h\"\n\n#include \"vkoo/core/Device.h\"\n\n#include \"vkoo/logging.h\"\n\nnamespace vkoo {\nPipelineLayout::PipelineLayout(Device& device,\n                               const std::vector<ShaderModule*>& shader_modules)\n    : device_(device), shader_modules_(shader_modules) {\n  for (const auto& shader_module : shader_modules) {\n    for (const auto& resource : shader_module->GetResources()) {\n      std::string key = resource.name;\n      if (resource.type == ShaderResourceType::Input ||\n          resource.type == ShaderResourceType::Output) {\n        key = std::to_string(resource.stages) + \"_\" + key;\n      }\n\n      auto it = name_to_resource_dict_.find(key);\n      if (it != name_to_resource_dict_.end()) {\n        it->second.stages |= resource.stages;\n      } else {\n        name_to_resource_dict_.emplace(key, resource);\n      }\n    }\n  }\n\n  for (auto& kv : name_to_resource_dict_) {\n    auto& resource = kv.second;\n    auto it = shader_sets_.find(resource.set);\n    if (it != shader_sets_.end()) {\n      it->second.push_back(resource);\n    } else {\n      shader_sets_.emplace(resource.set, std::vector<ShaderResource>{resource});\n    }\n  }\n\n  // Create descriptor set layouts here.\n  for (auto& kv : shader_sets_) {\n    descriptor_set_layouts_.emplace_back(\n        &device_.GetResourceCache().RequestDescriptorSetLayout(\n            shader_modules, kv.first, kv.second));\n  }\n\n  std::vector<VkDescriptorSetLayout> descriptor_set_layout_handles;\n  for (size_t i = 0; i < descriptor_set_layouts_.size(); i++) {\n    if (descriptor_set_layouts_[i]) {\n      descriptor_set_layout_handles.push_back(\n          descriptor_set_layouts_[i]->GetHandle());\n    } else {\n      descriptor_set_layout_handles.push_back(VK_NULL_HANDLE);\n    }\n  }\n  // Collect all the push constant shader resources.\n  std::vector<VkPushConstantRange> push_constant_ranges;\n  for (auto& push_constant_resource :\n       GetResources(ShaderResourceType::PushConstant)) {\n    push_constant_ranges.push_back({push_constant_resource.stages,\n                                    push_constant_resource.offset,\n                                    push_constant_resource.size});\n  }\n\n  VkPipelineLayoutCreateInfo create_info{\n      VK_STRUCTURE_TYPE_PIPELINE_LAYOUT_CREATE_INFO};\n\n  create_info.setLayoutCount =\n      static_cast<uint32_t>(descriptor_set_layout_handles.size());\n  create_info.pSetLayouts = descriptor_set_layout_handles.data();\n  create_info.pushConstantRangeCount =\n      static_cast<uint32_t>(push_constant_ranges.size());\n  create_info.pPushConstantRanges = push_constant_ranges.data();\n\n  VK_CHECK(vkCreatePipelineLayout(device.GetHandle(), &create_info, nullptr,\n                                  &handle_));\n}\n\nPipelineLayout::PipelineLayout(PipelineLayout&& other)\n    : device_{other.device_},\n      handle_{other.handle_},\n      shader_modules_{other.shader_modules_},\n      name_to_resource_dict_{other.name_to_resource_dict_},\n      shader_sets_{other.shader_sets_},\n      descriptor_set_layouts_{other.descriptor_set_layouts_} {\n  other.handle_ = VK_NULL_HANDLE;\n}\n\nPipelineLayout::~PipelineLayout() {\n  if (handle_ != VK_NULL_HANDLE) {\n    vkDestroyPipelineLayout(device_.GetHandle(), handle_, nullptr);\n  }\n}\n\nstd::vector<ShaderResource> PipelineLayout::GetResources(\n    ShaderResourceType type, VkShaderStageFlagBits stage) const {\n  std::vector<ShaderResource> found_resources;\n  for (auto& kv : name_to_resource_dict_) {\n    auto& resource = kv.second;\n    if (resource.type == type || type == ShaderResourceType::All) {\n      if (resource.stages == stage || stage == VK_SHADER_STAGE_ALL) {\n        found_resources.push_back(resource);\n      }\n    }\n  }\n  return found_resources;\n}\n\nconst std::vector<ShaderModule*>& PipelineLayout::GetShaderModules() const {\n  return shader_modules_;\n}\n\nDescriptorSetLayout& PipelineLayout::GetDescriptorSetLayout(\n    uint32_t set_index) const {\n  for (auto& descriptor_set_layout : descriptor_set_layouts_) {\n    if (descriptor_set_layout->GetSetIndex() == set_index) {\n      return *descriptor_set_layout;\n    }\n  }\n  throw std::runtime_error(fmt::format(\n      \"Couldn't find descriptor set layout at index {}\", set_index));\n}\n\nbool PipelineLayout::HasDescriptorSetLayout(uint32_t set_index) const {\n  for (auto& descriptor_set_layout : descriptor_set_layouts_) {\n    if (descriptor_set_layout->GetSetIndex() == set_index) {\n      return true;\n    }\n  }\n  return false;\n}\nVkShaderStageFlags PipelineLayout::GetPushConstantRangeStage(\n    uint32_t size, uint32_t offset) const {\n  VkShaderStageFlags stages = 0;\n\n  for (auto& push_constant_resource :\n       GetResources(ShaderResourceType::PushConstant)) {\n    if (offset >= push_constant_resource.offset &&\n        offset + size <=\n            push_constant_resource.offset + push_constant_resource.size) {\n      stages |= push_constant_resource.stages;\n    }\n  }\n  return stages;\n}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/PipelineState.cpp",
    "content": "#include \"vkoo/core/PipelineState.h\"\n\nnamespace vkoo {\nPipelineLayout* PipelineState::GetPipelineLayout() const {\n  return pipeline_layout_;\n}\n\nvoid PipelineState::SetPipelineLayout(PipelineLayout* pipeline_layout) {\n  pipeline_layout_ = pipeline_layout;\n}\n\nconst RenderPass* PipelineState::GetRenderPass() const { return render_pass_; }\n\nvoid PipelineState::SetRenderPass(const RenderPass* render_pass) {\n  render_pass_ = render_pass;\n}\n\nconst VertexInputState& PipelineState::GetVertexInputState() const {\n  return vertex_input_state_;\n}\n\nvoid PipelineState::SetVertexInputState(\n    const VertexInputState& vertex_input_state) {\n  vertex_input_state_ = vertex_input_state;\n}\n\nconst InputAssemblyState& PipelineState::GetInputAssemblyState() const {\n  return input_assembly_state_;\n}\n\nvoid PipelineState::SetInputAssemblyState(\n    const InputAssemblyState& input_assembly_state) {\n  input_assembly_state_ = input_assembly_state;\n}\n\nconst RasterizationState& PipelineState::GetRasterizationState() const {\n  return rasterization_state_;\n}\n\nvoid PipelineState::SetRasterizationState(\n    const RasterizationState& rasterization_state) {\n  rasterization_state_ = rasterization_state;\n}\n\nconst MultisampleState& PipelineState::GetMultisampleState() const {\n  return multisample_state_;\n}\n\nvoid PipelineState::SetMultisampleState(\n    const MultisampleState& multisample_state) {\n  multisample_state_ = multisample_state;\n}\n\nconst ViewportState& PipelineState::GetViewportState() const {\n  return viewport_state_;\n}\n\nvoid PipelineState::SetViewportState(const ViewportState& viewport_state) {\n  viewport_state_ = viewport_state;\n}\n\nconst ColorBlendState& PipelineState::GetColorBlendState() const {\n  return color_blend_state_;\n}\n\nvoid PipelineState::SetColorBlendState(\n    const ColorBlendState& color_blend_state) {\n  color_blend_state_ = color_blend_state;\n}\n\nuint32_t PipelineState::GetSubpassIndex() const { return subpass_index; }\n\nvoid PipelineState::SetSubpassIndex(uint32_t subpass_index) {\n  PipelineState::subpass_index = subpass_index;\n}\n\nvoid PipelineState::Reset() {\n  pipeline_layout_ = nullptr;\n  render_pass_ = nullptr;\n  vertex_input_state_ = {};\n  input_assembly_state_ = {};\n  rasterization_state_ = {};\n  multisample_state_ = {};\n  viewport_state_ = {};\n  depth_stencil_state_ = {};\n  color_blend_state_ = {};\n  subpass_index = {0};\n}\n\nconst DepthStencilState& PipelineState::GetDepthStencilState() const {\n  return depth_stencil_state_;\n}\nvoid PipelineState::SetDepthStencilState(\n    const DepthStencilState& depth_stencil_state) {\n  depth_stencil_state_ = depth_stencil_state;\n}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/PostprocessingSubpass.cpp",
    "content": "#include \"vkoo/core/PostprocessingSubpass.h\"\n\nnamespace vkoo {\nPostprocessingSubpass::PostprocessingSubpass(\n    RenderContext& render_context, const st::ShaderProgram& shader_program,\n    st::Scene& scene, uint32_t input_attachment_id)\n    : Subpass{render_context, shader_program, scene},\n      input_attachment_id_{input_attachment_id} {\n  // Create sampler.\n  VkSamplerCreateInfo sampler_info{};\n  sampler_info.sType = VK_STRUCTURE_TYPE_SAMPLER_CREATE_INFO;\n  sampler_info.magFilter = VK_FILTER_LINEAR;\n  sampler_info.minFilter = VK_FILTER_LINEAR;\n  sampler_info.addressModeU = VK_SAMPLER_ADDRESS_MODE_CLAMP_TO_EDGE;\n  sampler_info.addressModeV = VK_SAMPLER_ADDRESS_MODE_CLAMP_TO_EDGE;\n  sampler_info.addressModeW = VK_SAMPLER_ADDRESS_MODE_CLAMP_TO_EDGE;\n  sampler_info.anisotropyEnable = VK_TRUE;\n  sampler_info.maxAnisotropy = 1.0f;\n  sampler_info.unnormalizedCoordinates = VK_FALSE;\n  sampler_info.compareEnable = VK_FALSE;\n  sampler_info.compareOp = VK_COMPARE_OP_ALWAYS;\n  sampler_info.mipmapMode = VK_SAMPLER_MIPMAP_MODE_LINEAR;\n\n  input_sampler_ = std::make_unique<vkoo::core::Sampler>(\n      render_context.GetDevice(), sampler_info);\n}\n\nvoid PostprocessingSubpass::Prepare() {}\n\nvoid PostprocessingSubpass::Draw(CommandBuffer& command_buffer) {\n  auto& render_frame = render_context_.GetActiveFrame();\n\n  // Bind pipeline layout.\n  auto& resource_cache = command_buffer.GetDevice().GetResourceCache();\n  auto& vert_shader_module = resource_cache.RequestShaderModule(\n      VK_SHADER_STAGE_VERTEX_BIT, shader_program_.vertex_shader_source);\n  auto& frag_shader_module = resource_cache.RequestShaderModule(\n      VK_SHADER_STAGE_FRAGMENT_BIT, shader_program_.fragment_shader_source);\n  std::vector<ShaderModule*> shader_modules{&vert_shader_module,\n                                            &frag_shader_module};\n\n  auto& pipeline_layout = resource_cache.RequestPipelineLayout(shader_modules);\n  command_buffer.BindPipelineLayout(pipeline_layout);\n\n  command_buffer.SetVertexInputState({});  // no vertex input\n\n  // Set cull mode to front as the full screen triangle is clock-wise.\n  RasterizationState rasterization_state{};\n  rasterization_state.cull_mode = VK_CULL_MODE_FRONT_BIT;\n  command_buffer.SetRasterizationState(rasterization_state);\n\n  // Enable alpha blending.\n  ColorBlendAttachmentState color_blend_attachment{};\n  color_blend_attachment.blend_enable = VK_TRUE;\n  color_blend_attachment.src_color_blend_factor = VK_BLEND_FACTOR_SRC_ALPHA;\n  color_blend_attachment.dst_color_blend_factor =\n      VK_BLEND_FACTOR_ONE_MINUS_SRC_ALPHA;\n  color_blend_attachment.src_alpha_blend_factor = VK_BLEND_FACTOR_ONE;\n  color_blend_attachment.dst_alpha_blend_factor = VK_BLEND_FACTOR_ONE;\n\n  ColorBlendState color_blend_state{};\n  color_blend_state.attachments.resize(GetOutputAttachments().size());\n  for (auto& it : color_blend_state.attachments) {\n    it = color_blend_attachment;\n  }\n  command_buffer.SetColorBlendState(color_blend_state);\n\n  auto& target_views = render_frame.GetRenderTarget().GetViews();\n\n  // Bind input texture at binding 0.\n  command_buffer.BindImage(target_views.at(input_attachment_id_),\n                           *input_sampler_, 0, 0, 0);\n\n  command_buffer.Draw(3, 1, 0, 0);\n}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/PrimitiveFactory.cpp",
    "content": "#include \"vkoo/core/PrimitiveFactory.h\"\n\n#include \"vkoo/utils.h\"\n\nnamespace vkoo {\nstd::unique_ptr<VertexObject> PrimitiveFactory::CreateSphere(Device& device,\n                                                             float r,\n                                                             size_t slices,\n                                                             size_t stacks) {\n  std::vector<glm::vec3> positions;\n  std::vector<glm::vec3> normals;\n  std::vector<uint32_t> indices;\n\n  float phi_step = kPi * 2 / slices;\n  float theta_step = kPi / stacks;\n\n  for (size_t vi = 0; vi < stacks; vi++) {  // vertical loop\n    float theta = vi * theta_step;\n    float z = r * cosf(theta);\n    for (size_t hi = 0; hi < slices; hi++) {  // horizontal loop\n      float phi = hi * phi_step;\n      glm::vec3 p(r * cosf(phi) * sinf(theta), r * sinf(phi) * sinf(theta), z);\n      positions.push_back(p);\n      normals.push_back(glm::normalize(p));\n    }\n  }\n\n  for (size_t vi = 0; vi < stacks; vi++)\n    for (size_t hi = 0; hi < slices; hi++) {\n      auto t1 = (uint32_t)(vi * slices + hi);\n      auto t2 = (uint32_t)(vi * slices + hi + 1);\n      auto t3 = (uint32_t)((vi + 1) * slices + hi + 1);\n      auto t4 = (uint32_t)((vi + 1) * slices + hi);\n      indices.insert(indices.end(), {t1, t3, t2});\n      indices.insert(indices.end(), {t1, t4, t3});\n    }\n\n  auto vertex_object = std::make_unique<VertexObject>(device);\n  vertex_object->Update(\"position\", positions);\n  vertex_object->Update(\"normal\", normals);\n  vertex_object->UpdateIndices(indices);\n  return vertex_object;\n}\n\nstd::unique_ptr<VertexObject> PrimitiveFactory::CreateLineSegment(\n    Device& device, const glm::vec3& p, const glm::vec3& q) {\n  auto vertex_object = std::make_unique<VertexObject>(device);\n  vertex_object->Update(\"position\", std::vector<glm::vec3>{p, q});\n\n  return vertex_object;\n}\n\nstd::unique_ptr<VertexObject> PrimitiveFactory::CreateQuad(Device& device) {\n  auto vertex_object = std::make_unique<VertexObject>(device);\n  vertex_object->Update(\n      \"position\",\n      std::vector<glm::vec3>{{-1, -1, 0}, {1, -1, 0}, {1, 1, 0}, {-1, 1, 0}});\n  vertex_object->Update(\n      \"normal\",\n      std::vector<glm::vec3>{{0, 0, 1}, {0, 0, 1}, {0, 0, 1}, {0, 0, 1}});\n  vertex_object->UpdateIndices({0, 1, 2, 0, 2, 3});\n\n  return vertex_object;\n}\n\nstd::unique_ptr<VertexObject> PrimitiveFactory::CreateCube(Device& device) {\n  auto vertex_object = std::make_unique<VertexObject>(device);\n  std::vector<glm::vec3> positions;\n  for (int z = -1; z <= 1; z += 2)\n    for (int y = -1; y <= 1; y += 2)\n      for (int x = -1; x <= 1; x += 2) {\n        positions.emplace_back(static_cast<float>(x), static_cast<float>(y),\n                               static_cast<float>(z));\n      }\n  std::vector<uint32_t> indices{0, 2, 3, 0, 3, 1, 1, 3, 7, 1, 7, 5,\n                                4, 5, 7, 4, 7, 6, 0, 6, 2, 0, 4, 6,\n                                2, 7, 3, 2, 6, 7, 0, 1, 5, 0, 5, 4};\n\n  // Create discontinuous normals by duplicating positions.\n  std::vector<glm::vec3> new_positions;\n  std::vector<glm::vec3> normals;\n  std::vector<uint32_t> new_indices;\n\n  for (size_t i = 0; i < indices.size(); i += 3) {\n    auto& a = positions[indices[i]];\n    auto& b = positions[indices[i + 1]];\n    auto& c = positions[indices[i + 2]];\n\n    auto normal = glm::normalize(glm::cross(b - a, c - a));\n\n    new_positions.push_back(a);\n    new_positions.push_back(b);\n    new_positions.push_back(c);\n    normals.push_back(normal);\n    normals.push_back(normal);\n    normals.push_back(normal);\n    new_indices.push_back(i);\n    new_indices.push_back(i + 1);\n    new_indices.push_back(i + 2);\n  }\n\n  vertex_object->Update(\"position\", new_positions);\n  vertex_object->Update(\"normal\", normals);\n  vertex_object->UpdateIndices(new_indices);\n\n  return vertex_object;\n}\n\nstd::unique_ptr<VertexObject> PrimitiveFactory::CreateCylinder(\n    Device& device, float r, float h, size_t num_sides) {\n  auto positions = std::make_unique<std::vector<glm::vec3>>();\n  auto normals = std::make_unique<std::vector<glm::vec3>>();\n  auto indices = std::make_unique<std::vector<uint32_t>>();\n\n  float step = 2 * kPi / num_sides;\n\n  for (size_t face = 0; face < num_sides; face++) {\n    float lx = r * cosf(face * step);\n    float lz = r * sinf(face * step);\n    positions->emplace_back(lx, 0.0f, lz);\n    positions->emplace_back(lx, h, lz);\n\n    normals->emplace_back(cosf(face * step), 0.0f, sinf(face * step));\n    normals->emplace_back(cosf(face * step), 0.0f, sinf(face * step));\n  }\n  for (size_t face = 0; face < num_sides; ++face) {\n    unsigned int i1 = (unsigned int)face * 2;\n    unsigned int i2;\n    if (face == num_sides - 1) {\n      i2 = 1;\n    } else {\n      i2 = i1 + 3;\n    }\n    unsigned int i3 = i1 + 1;\n\n    indices->insert(indices->end(), {i1, i2, i3});\n    if (face == num_sides - 1) {\n      i2 = 0;\n      i3 = 1;\n    } else {\n      i2 = i1 + 2;\n      i3 = i1 + 3;\n    }\n    indices->insert(indices->end(), {i1, i2, i3});\n  }\n  auto vertex_object = std::make_unique<VertexObject>(device);\n  vertex_object->Update(\"position\", *positions);\n  vertex_object->Update(\"normal\", *normals);\n  vertex_object->UpdateIndices(*indices);\n\n  return vertex_object;\n}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/Queue.cpp",
    "content": "#include \"vkoo/core/Queue.h\"\n\n#include \"vkoo/core/CommandBuffer.h\"\n#include \"vkoo/core/Device.h\"\n\nnamespace vkoo {\nQueue::Queue(Device& device, uint32_t family_index, uint32_t index,\n             VkQueueFamilyProperties properties, VkBool32 present_supported)\n    : device_(device),\n      family_index_(family_index),\n      index_(index),\n      present_supported_(present_supported),\n      properties_(properties) {\n  vkGetDeviceQueue(device.GetHandle(), family_index, index, &handle_);\n}\n\nVkResult Queue::Submit(const std::vector<VkSubmitInfo>& submit_infos,\n                       VkFence fence) const {\n  return vkQueueSubmit(handle_, static_cast<uint32_t>(submit_infos.size()),\n                       submit_infos.data(), fence);\n}\n\nVkResult Queue::Submit(const CommandBuffer& command_buffer,\n                       VkFence fence) const {\n  VkSubmitInfo submit_info{VK_STRUCTURE_TYPE_SUBMIT_INFO};\n  submit_info.commandBufferCount = 1;\n  submit_info.pCommandBuffers = &command_buffer.GetHandle();\n\n  return Submit({submit_info}, fence);\n}\n\nVkResult Queue::Present(const VkPresentInfoKHR& present_info) const {\n  if (!present_supported_) {\n    throw std::runtime_error(\n        \"Present is not supported on this queue! Cannot call Present() on it.\");\n  }\n\n  return vkQueuePresentKHR(handle_, &present_info);\n}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/RenderContext.cpp",
    "content": "#include \"vkoo/core/RenderContext.h\"\n\n#include \"vkoo/core/RenderTarget.h\"\n#include \"vkoo/logging.h\"\n#include <GLFW/glfw3.h>\n\nnamespace vkoo {\nRenderContext::RenderContext(Device& device, VkSurfaceKHR surface,\n                             uint32_t window_width, uint32_t window_height)\n    : device_{device},\n      queue_{device.GetSuitableGraphicsQueue()},\n      surface_extent_{window_width, window_height},\n      prepared_{false},\n      is_frame_active_{false},\n      active_frame_index_{0} {\n  swapchain_ = std::make_unique<Swapchain>(device, surface, surface_extent_);\n}\n\nvoid RenderContext::Prepare(RenderTarget::CreateFunc create_func) {\n  device_.WaitIdle();\n  swapchain_->Create();\n\n  for (VkImage image_handle : swapchain_->GetImages()) {\n    core::Image image(device_, image_handle, surface_extent_,\n                      swapchain_->GetFormat(), swapchain_->GetUsage());\n    std::unique_ptr<RenderTarget> render_target = create_func(std::move(image));\n    frames_.emplace_back(\n        std::make_unique<RenderFrame>(device_, std::move(render_target)));\n  }\n\n  create_render_target_func_ = create_func;\n  prepared_ = true;\n}\n\nCommandBuffer& RenderContext::Begin() {\n  assert(prepared_);\n  acquired_semaphore_ = BeginFrame();\n\n  const Queue& queue = device_.GetSuitableGraphicsQueue();\n  return GetActiveFrame().RequestCommandBuffer(queue);\n}\n\nVkSemaphore RenderContext::BeginFrame() {\n  HandleWindowResize();\n\n  assert(!is_frame_active_);\n  RenderFrame& prev_frame = *frames_.at(active_frame_index_);\n  VkSemaphore acquired_semaphore = prev_frame.RequestSemaphore();\n  VkResult acquire_result = swapchain_->AcquireNextImage(\n      active_frame_index_, acquired_semaphore, VK_NULL_HANDLE);\n  if (acquire_result == VK_SUBOPTIMAL_KHR ||\n      acquire_result == VK_ERROR_OUT_OF_DATE_KHR) {\n    HandleWindowResize();\n    acquire_result = swapchain_->AcquireNextImage(\n        active_frame_index_, acquired_semaphore, VK_NULL_HANDLE);\n  }\n\n  if (acquire_result != VK_SUCCESS) {\n    throw std::runtime_error(\"Cannot acquire next image from the swapchain.\");\n  }\n\n  is_frame_active_ = true;\n\n  // Release resources on the frame that was just acquired.\n  GetActiveFrame().Reset();\n  return acquired_semaphore;\n}\n\nRenderFrame& RenderContext::GetActiveFrame() {\n  assert(is_frame_active_);\n  return *frames_.at(active_frame_index_);\n}\n\nvoid RenderContext::Submit(CommandBuffer& command_buffer) {\n  Submit({&command_buffer});\n}\n\nvoid RenderContext::Submit(const std::vector<CommandBuffer*>& command_buffers) {\n  assert(is_frame_active_);\n  VkSemaphore render_semaphore =\n      Submit(queue_, command_buffers, acquired_semaphore_,\n             VK_PIPELINE_STAGE_COLOR_ATTACHMENT_OUTPUT_BIT);\n  EndFrame(render_semaphore);\n  acquired_semaphore_ = VK_NULL_HANDLE;\n}\n\nVkSemaphore RenderContext::Submit(\n    const Queue& queue, const std::vector<CommandBuffer*>& command_buffers,\n    VkSemaphore wait_semaphore, VkPipelineStageFlags wait_pipeline_stage) {\n  std::vector<VkCommandBuffer> cmd_buf_handles(command_buffers.size(),\n                                               VK_NULL_HANDLE);\n  std::transform(\n      command_buffers.begin(), command_buffers.end(), cmd_buf_handles.begin(),\n      [](const CommandBuffer* cmd_buf) { return cmd_buf->GetHandle(); });\n\n  RenderFrame& frame = GetActiveFrame();\n\n  VkSemaphore signal_semaphore = frame.RequestSemaphore();\n\n  VkSubmitInfo submit_info{VK_STRUCTURE_TYPE_SUBMIT_INFO};\n\n  submit_info.commandBufferCount =\n      static_cast<uint32_t>(cmd_buf_handles.size());\n  submit_info.pCommandBuffers = cmd_buf_handles.data();\n  submit_info.waitSemaphoreCount = 1;\n  submit_info.pWaitSemaphores = &wait_semaphore;\n  submit_info.pWaitDstStageMask = &wait_pipeline_stage;\n  submit_info.signalSemaphoreCount = 1;\n  submit_info.pSignalSemaphores = &signal_semaphore;\n\n  VkFence fence = frame.RequestFence();\n\n  queue.Submit({submit_info}, fence);\n\n  return signal_semaphore;\n}\n\nvoid RenderContext::HandleWindowResize() {\n  VkSurfaceCapabilitiesKHR surface_properties{};\n  VK_CHECK(vkGetPhysicalDeviceSurfaceCapabilitiesKHR(\n      device_.GetGPU().GetHandle(), swapchain_->GetSurface(),\n      &surface_properties));\n\n  if (surface_properties.currentExtent.width != surface_extent_.width ||\n      surface_properties.currentExtent.height != surface_extent_.height) {\n    device_.WaitIdle();\n    // TODO: make this not dependent on glfw.\n    while (surface_properties.currentExtent.width < 1 &&\n           surface_properties.currentExtent.height < 1) {\n      glfwWaitEvents();\n      VK_CHECK(vkGetPhysicalDeviceSurfaceCapabilitiesKHR(\n          device_.GetGPU().GetHandle(), swapchain_->GetSurface(),\n          &surface_properties));\n    }\n\n    RecreateSwapchain(surface_properties.currentExtent);\n    surface_extent_ = surface_properties.currentExtent;\n  }\n}\n\nvoid RenderContext::EndFrame(VkSemaphore render_semaphore) {\n  assert(is_frame_active_ && \"Frame is not active, please call begin_frame\");\n\n  VkSwapchainKHR vk_swapchain = swapchain_->GetHandle();\n\n  VkPresentInfoKHR present_info{VK_STRUCTURE_TYPE_PRESENT_INFO_KHR};\n\n  present_info.waitSemaphoreCount = 1;\n  present_info.pWaitSemaphores = &render_semaphore;\n  present_info.swapchainCount = 1;\n  present_info.pSwapchains = &vk_swapchain;\n  present_info.pImageIndices = &active_frame_index_;\n\n  VkResult result = queue_.Present(present_info);\n\n  if (result == VK_SUBOPTIMAL_KHR || result == VK_ERROR_OUT_OF_DATE_KHR) {\n    HandleWindowResize();\n  }\n\n  is_frame_active_ = false;\n}\n\nvoid RenderContext::RecreateSwapchain(const VkExtent2D& new_extent) {\n  device_.GetResourceCache().ClearFramebuffers();\n  swapchain_ = std::make_unique<Swapchain>(*swapchain_, new_extent);\n  Recreate();\n}\n\nvoid RenderContext::UpdateSwapchain() { RecreateSwapchain(surface_extent_); }\n\nvoid RenderContext::Recreate() {\n  VkExtent2D extent = swapchain_->GetExtent();\n  auto frame_it = frames_.begin();\n  for (auto& image_handle : swapchain_->GetImages()) {\n    core::Image new_image{device_, image_handle, extent,\n                          swapchain_->GetFormat(), swapchain_->GetUsage()};\n    std::unique_ptr<RenderTarget> render_target =\n        create_render_target_func_(std::move(new_image));\n    if (frame_it != frames_.end()) {\n      (*frame_it)->UpdateRenderTarget(std::move(render_target));\n    } else {\n      frames_.emplace_back(\n          std::make_unique<RenderFrame>(device_, std::move(render_target)));\n    }\n    frame_it++;\n  }\n}\n\nVkImage RenderContext::GetLastActiveSwapchainImage() const {\n  return swapchain_->GetImages()[active_frame_index_];\n}\n\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/RenderFrame.cpp",
    "content": "#include \"vkoo/core/RenderFrame.h\"\n\n#include \"vkoo/core/resource_caching.h\"\n#include \"vkoo/logging.h\"\n\nnamespace vkoo {\n\nRenderFrame::RenderFrame(Device& device,\n                         std::unique_ptr<RenderTarget>&& render_target)\n    : device_{device},\n      render_target_{std::move(render_target)},\n      fence_pool_{device},\n      semaphore_pool_{device} {\n  for (auto& usage_kv : kSupportedUsageMap) {\n    buffer_pool_dict_.emplace(\n        usage_kv.first, BufferPool(device, usage_kv.first,\n                                   VK_MEMORY_PROPERTY_HOST_VISIBLE_BIT |\n                                       VK_MEMORY_PROPERTY_HOST_COHERENT_BIT));\n  }\n}\n\nDescriptorSet& RenderFrame::RequestDescriptorSet(\n    DescriptorSetLayout& descriptor_set_layout,\n    const BindingMap<VkDescriptorBufferInfo>& buffer_infos,\n    const BindingMap<VkDescriptorImageInfo>& image_infos) {\n  DescriptorPool& descriptor_pool =\n      RequestResource(device_, descriptor_pool_, descriptor_set_layout);\n\n  return RequestResource(device_, descriptor_sets_, descriptor_set_layout,\n                         descriptor_pool, buffer_infos, image_infos);\n}\n\ncore::Buffer& RenderFrame::AllocateBuffer(VkBufferUsageFlags usage,\n                                          VkDeviceSize size) {\n  auto buffer_pool_it = buffer_pool_dict_.find(usage);\n  if (buffer_pool_it == buffer_pool_dict_.end()) {\n    throw std::runtime_error(\"No buffer pool for usage \" +\n                             std::to_string(usage) + \"!\");\n  }\n  auto& buffer_pool = buffer_pool_it->second;\n  return buffer_pool.RequestBuffer(size);\n}\n\nvoid RenderFrame::Reset() {\n  fence_pool_.Wait();\n  fence_pool_.Reset();\n\n  semaphore_pool_.Reset();\n\n  for (auto& queue_cmd_pool_kv : command_pool_dict_) {\n    queue_cmd_pool_kv.second->ResetPool();\n  }\n\n  for (auto& usage_buffer_pool_kv : buffer_pool_dict_) {\n    usage_buffer_pool_kv.second.Reset();\n  }\n\n  // TODO: for now clear descriptors frame to frame.\n  ClearDescriptors();\n}\n\nvoid RenderFrame::ClearDescriptors() {\n  descriptor_sets_.clear();\n  for (auto& kv : descriptor_pool_) {\n    kv.second.Reset();\n  }\n  descriptor_pool_.clear();\n}\n\nCommandBuffer& RenderFrame::RequestCommandBuffer(const Queue& queue) {\n  uint32_t queue_family_index = queue.GetFamilyIndex();\n  auto it = command_pool_dict_.find(queue_family_index);\n  if (it == command_pool_dict_.end()) {\n    auto emplace_it = command_pool_dict_.emplace(\n        queue_family_index,\n        std::make_unique<CommandPool>(device_, queue_family_index, this));\n    if (!emplace_it.second) {\n      throw std::runtime_error(fmt::format(\n          \"Cannot emplace command pool for family {}!\", queue_family_index));\n    }\n    it = emplace_it.first;\n  }\n\n  CommandPool& command_pool = *it->second;\n  return command_pool.RequestCommandBuffer();\n}\n\nVkSemaphore RenderFrame::RequestSemaphore() {\n  return semaphore_pool_.RequestSemaphore();\n}\n\nVkFence RenderFrame::RequestFence() { return fence_pool_.RequestFence(); }\n\nvoid RenderFrame::UpdateRenderTarget(\n    std::unique_ptr<RenderTarget>&& render_target) {\n  render_target_ = std::move(render_target);\n}\n\n}  // namespace vkoo"
  },
  {
    "path": "vkoo/src/core/RenderPass.cpp",
    "content": "#include \"vkoo/core/RenderPass.h\"\n\n#include <stdexcept>\n\n#include \"vkoo/core/Device.h\"\n#include \"vkoo/core/RenderTarget.h\"\n\nnamespace vkoo {\nnamespace {\nVkAttachmentReference2KHR GetAttachmentReference(const uint32_t attachment,\n                                                 const VkImageLayout layout) {\n  VkAttachmentReference2KHR reference{};\n\n  reference.sType = VK_STRUCTURE_TYPE_ATTACHMENT_REFERENCE_2_KHR;\n  reference.attachment = attachment;\n  reference.layout = layout;\n\n  return reference;\n}\n}  // namespace\n\nRenderPass::RenderPass(Device& device,\n                       const std::vector<VkAttachmentDescription2KHR>&\n                           attachment_descriptions_const,\n                       const std::vector<SubpassInfo>& subpasses,\n                       const std::vector<VkSubpassDependency2KHR>& dependencies)\n    : device_(device), subpass_count_(subpasses.size()) {\n  // TODO: might need to modify depth resolve attachment's initial layout.\n  auto attachment_descriptions = attachment_descriptions_const;\n#ifndef NDEBUG\n  assert(subpasses.size() >= 1);\n  for (auto& attachment : attachment_descriptions) {\n    assert(attachment.sType == VK_STRUCTURE_TYPE_ATTACHMENT_DESCRIPTION_2_KHR);\n  }\n  for (auto& dep : dependencies) {\n    assert(dep.sType == VK_STRUCTURE_TYPE_SUBPASS_DEPENDENCY_2_KHR);\n  }\n#endif\n\n  std::vector<std::vector<VkAttachmentReference2KHR>> color_attachments{\n      subpass_count_};\n  std::vector<std::vector<VkAttachmentReference2KHR>> input_attachments{\n      subpass_count_};\n  std::vector<std::vector<VkAttachmentReference2KHR>> depth_stencil_attachments{\n      subpass_count_};\n  std::vector<std::vector<VkAttachmentReference2KHR>> color_resolve_attachments{\n      subpass_count_};\n  std::vector<std::vector<VkAttachmentReference2KHR>> depth_resolve_attachments{\n      subpass_count_};\n\n  for (size_t i = 0; i < subpasses.size(); i++) {\n    const SubpassInfo& subpass = subpasses[i];\n    for (auto o_attachment : subpass.output_attachments) {\n      auto initial_layout =\n          attachment_descriptions[o_attachment].initialLayout ==\n                  VK_IMAGE_LAYOUT_UNDEFINED\n              ? VK_IMAGE_LAYOUT_COLOR_ATTACHMENT_OPTIMAL\n              : attachment_descriptions[o_attachment].initialLayout;\n      auto& description = attachment_descriptions[o_attachment];\n      if (!IsDepthStencilFormat(description.format)) {\n        color_attachments[i].push_back(\n            GetAttachmentReference(o_attachment, initial_layout));\n      }\n    }\n\n    for (auto i_attachment : subpass.input_attachments) {\n      auto default_layout =\n          IsDepthStencilFormat(attachment_descriptions[i_attachment].format)\n              ? VK_IMAGE_LAYOUT_DEPTH_STENCIL_READ_ONLY_OPTIMAL\n              : VK_IMAGE_LAYOUT_SHADER_READ_ONLY_OPTIMAL;\n      auto initial_layout =\n          attachment_descriptions[i_attachment].initialLayout ==\n                  VK_IMAGE_LAYOUT_UNDEFINED\n              ? default_layout\n              : attachment_descriptions[i_attachment].initialLayout;\n      input_attachments[i].push_back(\n          GetAttachmentReference(i_attachment, initial_layout));\n    }\n\n    for (auto r_attachment : subpass.color_resolve_attachments) {\n      auto initial_layout =\n          attachment_descriptions[r_attachment].initialLayout ==\n                  VK_IMAGE_LAYOUT_UNDEFINED\n              ? VK_IMAGE_LAYOUT_COLOR_ATTACHMENT_OPTIMAL\n              : attachment_descriptions[r_attachment].initialLayout;\n      color_resolve_attachments[i].push_back(\n          GetAttachmentReference(r_attachment, initial_layout));\n    }\n\n    if (!subpass.disable_depth_stencil_attachment) {\n      // Assume depth stencil attachment appears before any depth resolve\n      // attachment.\n      auto it = find_if(attachment_descriptions.begin(),\n                        attachment_descriptions.end(),\n                        [](const VkAttachmentDescription2KHR& attachment) {\n                          return IsDepthStencilFormat(attachment.format);\n                        });\n      if (it != attachment_descriptions.end()) {\n        auto i_depth_stencil = static_cast<uint32_t>(\n            std::distance(attachment_descriptions.begin(), it));\n        auto initial_layout =\n            it->initialLayout == VK_IMAGE_LAYOUT_UNDEFINED\n                ? VK_IMAGE_LAYOUT_DEPTH_STENCIL_ATTACHMENT_OPTIMAL\n                : it->initialLayout;\n        depth_stencil_attachments[i].push_back(\n            GetAttachmentReference(i_depth_stencil, initial_layout));\n\n        if (subpass.depth_stencil_resolve_mode != VK_RESOLVE_MODE_NONE) {\n          auto i_depth_stencil_resolve =\n              subpass.depth_stencil_resolve_attachment;\n          initial_layout =\n              attachment_descriptions[i_depth_stencil_resolve].initialLayout ==\n                      VK_IMAGE_LAYOUT_UNDEFINED\n                  ? VK_IMAGE_LAYOUT_DEPTH_STENCIL_ATTACHMENT_OPTIMAL\n                  : attachment_descriptions[i_depth_stencil_resolve]\n                        .initialLayout;\n          depth_resolve_attachments[i].push_back(\n              GetAttachmentReference(i_depth_stencil_resolve, initial_layout));\n        }\n      }\n    }\n  }\n\n  std::vector<VkSubpassDescription2KHR> subpass_descriptions;\n  VkSubpassDescriptionDepthStencilResolveKHR depth_resolve{};\n  for (size_t i = 0; i < subpasses.size(); ++i) {\n    VkSubpassDescription2KHR subpass_description{};\n    subpass_description.sType = VK_STRUCTURE_TYPE_SUBPASS_DESCRIPTION_2_KHR;\n    subpass_description.pipelineBindPoint = VK_PIPELINE_BIND_POINT_GRAPHICS;\n\n    subpass_description.pColorAttachments =\n        color_attachments[i].empty() ? nullptr : color_attachments[i].data();\n    subpass_description.colorAttachmentCount =\n        static_cast<uint32_t>(color_attachments[i].size());\n\n    subpass_description.pInputAttachments =\n        input_attachments[i].empty() ? nullptr : input_attachments[i].data();\n    subpass_description.inputAttachmentCount =\n        static_cast<uint32_t>(input_attachments[i].size());\n\n    subpass_description.pResolveAttachments =\n        color_resolve_attachments[i].empty()\n            ? nullptr\n            : color_resolve_attachments[i].data();\n\n    if (!depth_stencil_attachments[i].empty()) {\n      subpass_description.pDepthStencilAttachment =\n          depth_stencil_attachments[i].data();\n      if (!depth_resolve_attachments[i].empty()) {\n        auto& subpass = subpasses[i];\n        depth_resolve.sType =\n            VK_STRUCTURE_TYPE_SUBPASS_DESCRIPTION_DEPTH_STENCIL_RESOLVE_KHR;\n        depth_resolve.depthResolveMode = subpass.depth_stencil_resolve_mode;\n        depth_resolve.pDepthStencilResolveAttachment =\n            &depth_resolve_attachments[i][0];\n        subpass_description.pNext = &depth_resolve;\n      }\n    } else {\n      subpass_description.pDepthStencilAttachment = nullptr;\n    }\n\n    subpass_descriptions.push_back(subpass_description);\n  }\n\n  for (size_t i = 0; i < subpass_count_; i++) {\n    color_output_count_.push_back(\n        static_cast<uint32_t>(color_attachments[i].size()));\n  }\n\n  VkRenderPassCreateInfo2KHR create_info{\n      VK_STRUCTURE_TYPE_RENDER_PASS_CREATE_INFO};\n  create_info.sType = VK_STRUCTURE_TYPE_RENDER_PASS_CREATE_INFO_2_KHR;\n  create_info.attachmentCount =\n      static_cast<uint32_t>(attachment_descriptions.size());\n  create_info.pAttachments = attachment_descriptions.data();\n  create_info.subpassCount = static_cast<uint32_t>(subpass_descriptions.size());\n  create_info.pSubpasses = subpass_descriptions.data();\n  create_info.dependencyCount = static_cast<uint32_t>(dependencies.size());\n  create_info.pDependencies = dependencies.data();\n\n  auto create_fn = (PFN_vkCreateRenderPass2KHR)vkGetDeviceProcAddr(\n      device_.GetHandle(), \"vkCreateRenderPass2KHR\");\n  if (!create_fn) {\n    throw std::runtime_error(\"Depth resolve extension not availabe/enabled!\");\n  }\n  VK_CHECK(create_fn(device_.GetHandle(), &create_info, nullptr, &handle_));\n}\n\nRenderPass::RenderPass(RenderPass&& other)\n    : device_{other.device_},\n      handle_{other.handle_},\n      subpass_count_{other.subpass_count_},\n      color_output_count_{other.color_output_count_} {\n  other.handle_ = VK_NULL_HANDLE;\n}\n\nRenderPass::~RenderPass() {\n  if (handle_ != VK_NULL_HANDLE) {\n    vkDestroyRenderPass(device_.GetHandle(), handle_, nullptr);\n  }\n}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/RenderPipeline.cpp",
    "content": "#include \"vkoo/core/RenderPipeline.h\"\n\nnamespace vkoo {\nRenderPipeline::RenderPipeline(\n    std::vector<std::unique_ptr<Subpass>>&& subpasses)\n    : subpasses_{std::move(subpasses)} {\n  Prepare();\n}\n\nvoid RenderPipeline::Prepare() {\n  for (auto& subpass : subpasses_) {\n    subpass->Prepare();\n  }\n}\n\nvoid RenderPipeline::AddSubpass(std::unique_ptr<Subpass>&& subpass) {\n  subpass->Prepare();\n  subpasses_.emplace_back(std::move(subpass));\n}\n\nstd::vector<std::unique_ptr<Subpass>>& RenderPipeline::GetSubpasses() {\n  return subpasses_;\n}\n\nconst std::vector<VkClearValue>& RenderPipeline::GetClearValue() const {\n  return clear_value_;\n}\n\nvoid RenderPipeline::SetClearValue(\n    const std::vector<VkClearValue>& clear_value) {\n  clear_value_ = clear_value;\n}\n\nvoid RenderPipeline::Draw(\n    CommandBuffer& command_buffer, const VkExtent2D& extent,\n    const std::vector<VkImageView>& attachments,\n    const std::vector<VkAttachmentDescription2KHR>& attachment_descriptions,\n    const std::vector<VkSubpassDependency2KHR>& dependencies) {\n  assert(!subpasses_.empty() &&\n         \"Render pipeline should contain at least one sub-pass\");\n\n  for (size_t i = 0; i < subpasses_.size(); ++i) {\n    active_subpass_index_ = i;\n    auto& subpass = subpasses_[i];\n\n    if (i == 0) {\n      command_buffer.BeginRenderPass(\n          extent, attachments, attachment_descriptions, clear_value_,\n          subpasses_, dependencies, VK_SUBPASS_CONTENTS_INLINE);\n    } else {\n      command_buffer.NextSubpass();\n    }\n\n    subpass->Draw(command_buffer);\n  }\n  active_subpass_index_ = 0;\n}\n\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/RenderTarget.cpp",
    "content": "#include \"vkoo/core/RenderTarget.h\"\n\n#include \"vkoo/core/Device.h\"\n\nnamespace vkoo {\nRenderTarget::RenderTarget(std::vector<core::Image>&& images)\n    : device_(images.back().GetDevice()), images_(std::move(images)) {\n  // Check if the extent is unique.\n  for (auto& image : images_) {\n    if (image.GetExtent().height != images_.back().GetExtent().height ||\n        image.GetExtent().width != images_.back().GetExtent().width) {\n      throw std::runtime_error(\"Extent size is not unique!\");\n    }\n  }\n\n  extent_ = images_.back().GetExtent();\n  for (auto& image : images_) {\n    views_.emplace_back(image, VK_IMAGE_VIEW_TYPE_2D);\n  }\n}\n\nconst RenderTarget::CreateFunc RenderTarget::kDefaultCreateFunc =\n    [](core::Image&& image) -> std::unique_ptr<RenderTarget> {\n  VkFormat depth_format =\n      GetSuitableDepthFormat(image.GetDevice().GetGPU().GetHandle());\n\n  std::vector<core::Image> images;\n  images.push_back(std::move(image));\n\n  core::Image depth_image{image.GetDevice(), image.GetExtent(), depth_format,\n                          VK_IMAGE_USAGE_DEPTH_STENCIL_ATTACHMENT_BIT |\n                              VK_IMAGE_USAGE_TRANSIENT_ATTACHMENT_BIT,\n                          VK_MEMORY_PROPERTY_DEVICE_LOCAL_BIT};\n  images.push_back(std::move(depth_image));\n\n  return std::make_unique<RenderTarget>(std::move(images));\n};\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/ResourceBindingState.cpp",
    "content": "#include \"vkoo/core/ResourceBindingState.h\"\n\nnamespace vkoo {\nvoid ResourceBindingState::Reset() { resource_sets_.clear(); }\n\nvoid ResourceBindingState::BindBuffer(const core::Buffer& buffer,\n                                      VkDeviceSize offset, VkDeviceSize range,\n                                      uint32_t set, uint32_t binding,\n                                      uint32_t array_element) {\n  resource_sets_[set].BindBuffer(buffer, offset, range, binding, array_element);\n}\n\nvoid ResourceBindingState::BindInput(const core::ImageView& image_view,\n                                     uint32_t set, uint32_t binding,\n                                     uint32_t array_element) {\n  resource_sets_[set].BindInput(image_view, binding, array_element);\n}\n\nvoid ResourceBindingState::BindImage(const core::ImageView& image_view,\n                                     uint32_t set, uint32_t binding,\n                                     uint32_t array_element) {\n  resource_sets_[set].BindImage(image_view, binding, array_element);\n}\n\nvoid ResourceBindingState::BindImage(const core::ImageView& image_view,\n                                     const core::Sampler& sampler, uint32_t set,\n                                     uint32_t binding, uint32_t array_element) {\n  resource_sets_[set].BindImage(image_view, sampler, binding, array_element);\n}\n\nvoid ResourceSet::Reset() { resource_bindings_.clear(); }\n\nvoid ResourceSet::BindBuffer(const core::Buffer& buffer, VkDeviceSize offset,\n                             VkDeviceSize range, uint32_t binding,\n                             uint32_t array_element) {\n  resource_bindings_[binding][array_element].buffer = &buffer;\n  resource_bindings_[binding][array_element].offset = offset;\n  resource_bindings_[binding][array_element].range = range;\n}\n\nvoid ResourceSet::BindInput(const core::ImageView& image_view,\n                            const uint32_t binding,\n                            const uint32_t array_element) {\n  resource_bindings_[binding][array_element].image_view = &image_view;\n}\n\nvoid ResourceSet::BindImage(const core::ImageView& image_view,\n                            const core::Sampler& sampler, uint32_t binding,\n                            uint32_t array_element) {\n  resource_bindings_[binding][array_element].image_view = &image_view;\n  resource_bindings_[binding][array_element].sampler = &sampler;\n}\n\nvoid ResourceSet::BindImage(const core::ImageView& image_view, uint32_t binding,\n                            uint32_t array_element) {\n  resource_bindings_[binding][array_element].image_view = &image_view;\n  resource_bindings_[binding][array_element].sampler = nullptr;\n}\n\n}  // namespace vkoo"
  },
  {
    "path": "vkoo/src/core/ResourceCache.cpp",
    "content": "#include \"vkoo/core/ResourceCache.h\"\n\n#include \"vkoo/core/resource_caching.h\"\n\nnamespace vkoo {\nnamespace {\ntemplate <class T, class... A>\nT& RequestResourceSync(Device& device, std::mutex& resource_mutex,\n                       std::unordered_map<std::size_t, T>& resource_pool,\n                       A&... args) {\n  std::lock_guard<std::mutex> guard(resource_mutex);\n  return RequestResource(device, resource_pool, args...);\n}\n}  // namespace\n\nResourceCache::ResourceCache(Device& device) : device_{device} {}\n\nDescriptorSetLayout& ResourceCache::RequestDescriptorSetLayout(\n    const std::vector<ShaderModule*>& shader_modules, uint32_t set_index,\n    const std::vector<ShaderResource>& resource_set) {\n  return RequestResourceSync(device_, descriptor_set_layout_mutex_,\n                             state_.descriptor_set_layouts, shader_modules,\n                             set_index, resource_set);\n}\n\nRenderPass& ResourceCache::RequestRenderPass(\n    const std::vector<VkAttachmentDescription2KHR>& attachment_descriptions,\n    const std::vector<SubpassInfo>& subpasses,\n    const std::vector<VkSubpassDependency2KHR>& dependencies) {\n  return RequestResourceSync(device_, render_pass_mutex_, state_.render_passes,\n                             attachment_descriptions, subpasses, dependencies);\n}\n\nFramebuffer& ResourceCache::RequestFramebuffer(\n    const VkExtent2D& extent, const std::vector<VkImageView>& attachments,\n    const RenderPass& render_pass) {\n  return RequestResourceSync(device_, framebuffer_mutex_, state_.framebuffers,\n                             extent, attachments, render_pass);\n}\n\nGraphicsPipeline& ResourceCache::RequestGraphicsPipeline(\n    PipelineState& pipeline_state) {\n  return RequestResourceSync(device_, graphics_pipeline_mutex_,\n                             state_.graphics_pipelines, pipeline_state);\n}\n\nShaderModule& ResourceCache::RequestShaderModule(\n    VkShaderStageFlagBits stage, const ShaderSource& shader_source,\n    const ShaderVariant& shader_variant) {\n  return RequestResourceSync(device_, shader_module_mutex_,\n                             state_.shader_modules, stage, shader_source,\n                             shader_variant);\n}\n\nPipelineLayout& ResourceCache::RequestPipelineLayout(\n    const std::vector<ShaderModule*>& shader_modules) {\n  return RequestResourceSync(device_, pipeline_layout_mutex_,\n                             state_.pipeline_layouts, shader_modules);\n}\n\nvoid ResourceCache::ClearFramebuffers() { state_.framebuffers.clear(); }\n\nvoid ResourceCache::Clear() {\n  state_.pipeline_layouts.clear();\n  state_.shader_modules.clear();\n  state_.graphics_pipelines.clear();\n  state_.descriptor_set_layouts.clear();\n  state_.render_passes.clear();\n  ClearFramebuffers();\n}\n\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/SPIRVReflection.cpp",
    "content": "#include \"vkoo/core/SPIRVReflection.h\"\n\nnamespace vkoo {\nnamespace {\ntemplate <ShaderResourceType T>\ninline void read_shader_resource(const spirv_cross::Compiler& compiler,\n                                 VkShaderStageFlagBits stage,\n                                 std::vector<ShaderResource>& resources) {\n  throw std::runtime_error(\"Not implemented! Read shader resources of type.\");\n}\n\ntemplate <spv::Decoration T>\ninline void read_resource_decoration(const spirv_cross::Compiler& /*compiler*/,\n                                     const spirv_cross::Resource& /*resource*/,\n                                     ShaderResource& /*shader_resource*/) {\n  throw std::runtime_error(\n      \"Not implemented! Read resources decoration of type.\");\n}\n\ntemplate <>\ninline void read_resource_decoration<spv::DecorationLocation>(\n    const spirv_cross::Compiler& compiler,\n    const spirv_cross::Resource& resource, ShaderResource& shader_resource) {\n  shader_resource.location =\n      compiler.get_decoration(resource.id, spv::DecorationLocation);\n}\n\ntemplate <>\ninline void read_resource_decoration<spv::DecorationDescriptorSet>(\n    const spirv_cross::Compiler& compiler,\n    const spirv_cross::Resource& resource, ShaderResource& shader_resource) {\n  shader_resource.set =\n      compiler.get_decoration(resource.id, spv::DecorationDescriptorSet);\n}\n\ntemplate <>\ninline void read_resource_decoration<spv::DecorationBinding>(\n    const spirv_cross::Compiler& compiler,\n    const spirv_cross::Resource& resource, ShaderResource& shader_resource) {\n  shader_resource.binding =\n      compiler.get_decoration(resource.id, spv::DecorationBinding);\n}\n\ntemplate <>\ninline void read_resource_decoration<spv::DecorationInputAttachmentIndex>(\n    const spirv_cross::Compiler& compiler,\n    const spirv_cross::Resource& resource, ShaderResource& shader_resource) {\n  shader_resource.input_attachment_index =\n      compiler.get_decoration(resource.id, spv::DecorationInputAttachmentIndex);\n}\n\ntemplate <>\ninline void read_resource_decoration<spv::DecorationNonWritable>(\n    const spirv_cross::Compiler& compiler,\n    const spirv_cross::Resource& resource, ShaderResource& shader_resource) {\n  shader_resource.qualifiers |= ShaderResourceQualifiers::NonWritable;\n}\n\ntemplate <>\ninline void read_resource_decoration<spv::DecorationNonReadable>(\n    const spirv_cross::Compiler& compiler,\n    const spirv_cross::Resource& resource, ShaderResource& shader_resource) {\n  shader_resource.qualifiers |= ShaderResourceQualifiers::NonReadable;\n}\n\ninline void read_resource_vec_size(const spirv_cross::Compiler& compiler,\n                                   const spirv_cross::Resource& resource,\n                                   ShaderResource& shader_resource) {\n  const auto& spirv_type = compiler.get_type_from_variable(resource.id);\n\n  shader_resource.vec_size = spirv_type.vecsize;\n  shader_resource.columns = spirv_type.columns;\n}\n\ninline void read_resource_array_size(const spirv_cross::Compiler& compiler,\n                                     const spirv_cross::Resource& resource,\n                                     ShaderResource& shader_resource) {\n  const auto& spirv_type = compiler.get_type_from_variable(resource.id);\n\n  shader_resource.array_size =\n      spirv_type.array.size() ? spirv_type.array[0] : 1;\n}\n\ninline void read_resource_size(const spirv_cross::Compiler& compiler,\n                               const spirv_cross::Resource& resource,\n                               ShaderResource& shader_resource) {\n  const auto& spirv_type = compiler.get_type_from_variable(resource.id);\n\n  size_t array_size = 0;\n  //  if (variant.get_runtime_array_sizes().count(resource.name) != 0) {\n  //    array_size = variant.get_runtime_array_sizes().at(resource.name);\n  //  }\n\n  shader_resource.size = static_cast<uint32_t>(\n      compiler.get_declared_struct_size_runtime_array(spirv_type, array_size));\n}\n\ninline void read_resource_size(const spirv_cross::Compiler& compiler,\n                               const spirv_cross::SPIRConstant& constant,\n                               ShaderResource& shader_resource) {\n  auto spirv_type = compiler.get_type(constant.constant_type);\n\n  switch (spirv_type.basetype) {\n    case spirv_cross::SPIRType::BaseType::Boolean:\n    case spirv_cross::SPIRType::BaseType::Char:\n    case spirv_cross::SPIRType::BaseType::Int:\n    case spirv_cross::SPIRType::BaseType::UInt:\n    case spirv_cross::SPIRType::BaseType::Float:\n      shader_resource.size = 4;\n      break;\n    case spirv_cross::SPIRType::BaseType::Int64:\n    case spirv_cross::SPIRType::BaseType::UInt64:\n    case spirv_cross::SPIRType::BaseType::Double:\n      shader_resource.size = 8;\n      break;\n    default:\n      shader_resource.size = 0;\n      break;\n  }\n}\n\ntemplate <>\ninline void read_shader_resource<ShaderResourceType::Input>(\n    const spirv_cross::Compiler& compiler, VkShaderStageFlagBits stage,\n    std::vector<ShaderResource>& resources) {\n  auto input_resources = compiler.get_shader_resources().stage_inputs;\n\n  for (auto& resource : input_resources) {\n    ShaderResource shader_resource{};\n    shader_resource.type = ShaderResourceType::Input;\n    shader_resource.stages = stage;\n    shader_resource.name = resource.name;\n\n    read_resource_vec_size(compiler, resource, shader_resource);\n    read_resource_array_size(compiler, resource, shader_resource);\n    read_resource_decoration<spv::DecorationLocation>(compiler, resource,\n                                                      shader_resource);\n\n    resources.push_back(shader_resource);\n  }\n}\n\ntemplate <>\ninline void read_shader_resource<ShaderResourceType::InputAttachment>(\n    const spirv_cross::Compiler& compiler, VkShaderStageFlagBits /*stage*/,\n    std::vector<ShaderResource>& resources) {\n  auto subpass_resources = compiler.get_shader_resources().subpass_inputs;\n\n  for (auto& resource : subpass_resources) {\n    ShaderResource shader_resource{};\n    shader_resource.type = ShaderResourceType::InputAttachment;\n    shader_resource.stages = VK_SHADER_STAGE_FRAGMENT_BIT;\n    shader_resource.name = resource.name;\n\n    read_resource_array_size(compiler, resource, shader_resource);\n    read_resource_decoration<spv::DecorationInputAttachmentIndex>(\n        compiler, resource, shader_resource);\n    read_resource_decoration<spv::DecorationDescriptorSet>(compiler, resource,\n                                                           shader_resource);\n    read_resource_decoration<spv::DecorationBinding>(compiler, resource,\n                                                     shader_resource);\n\n    resources.push_back(shader_resource);\n  }\n}\n\ntemplate <>\ninline void read_shader_resource<ShaderResourceType::Output>(\n    const spirv_cross::Compiler& compiler, VkShaderStageFlagBits stage,\n    std::vector<ShaderResource>& resources) {\n  auto output_resources = compiler.get_shader_resources().stage_outputs;\n\n  for (auto& resource : output_resources) {\n    ShaderResource shader_resource{};\n    shader_resource.type = ShaderResourceType::Output;\n    shader_resource.stages = stage;\n    shader_resource.name = resource.name;\n\n    read_resource_array_size(compiler, resource, shader_resource);\n    read_resource_vec_size(compiler, resource, shader_resource);\n    read_resource_decoration<spv::DecorationLocation>(compiler, resource,\n                                                      shader_resource);\n\n    resources.push_back(shader_resource);\n  }\n}\n\ntemplate <>\ninline void read_shader_resource<ShaderResourceType::Image>(\n    const spirv_cross::Compiler& compiler, VkShaderStageFlagBits stage,\n    std::vector<ShaderResource>& resources) {\n  auto image_resources = compiler.get_shader_resources().separate_images;\n\n  for (auto& resource : image_resources) {\n    ShaderResource shader_resource{};\n    shader_resource.type = ShaderResourceType::Image;\n    shader_resource.stages = stage;\n    shader_resource.name = resource.name;\n\n    read_resource_array_size(compiler, resource, shader_resource);\n    read_resource_decoration<spv::DecorationDescriptorSet>(compiler, resource,\n                                                           shader_resource);\n    read_resource_decoration<spv::DecorationBinding>(compiler, resource,\n                                                     shader_resource);\n\n    resources.push_back(shader_resource);\n  }\n}\n\ntemplate <>\ninline void read_shader_resource<ShaderResourceType::ImageSampler>(\n    const spirv_cross::Compiler& compiler, VkShaderStageFlagBits stage,\n    std::vector<ShaderResource>& resources) {\n  auto image_resources = compiler.get_shader_resources().sampled_images;\n\n  for (auto& resource : image_resources) {\n    ShaderResource shader_resource{};\n    shader_resource.type = ShaderResourceType::ImageSampler;\n    shader_resource.stages = stage;\n    shader_resource.name = resource.name;\n\n    read_resource_array_size(compiler, resource, shader_resource);\n    read_resource_decoration<spv::DecorationDescriptorSet>(compiler, resource,\n                                                           shader_resource);\n    read_resource_decoration<spv::DecorationBinding>(compiler, resource,\n                                                     shader_resource);\n\n    resources.push_back(shader_resource);\n  }\n}\n\ntemplate <>\ninline void read_shader_resource<ShaderResourceType::ImageStorage>(\n    const spirv_cross::Compiler& compiler, VkShaderStageFlagBits stage,\n    std::vector<ShaderResource>& resources) {\n  auto storage_resources = compiler.get_shader_resources().storage_images;\n\n  for (auto& resource : storage_resources) {\n    ShaderResource shader_resource{};\n    shader_resource.type = ShaderResourceType::ImageStorage;\n    shader_resource.stages = stage;\n    shader_resource.name = resource.name;\n\n    read_resource_array_size(compiler, resource, shader_resource);\n    read_resource_decoration<spv::DecorationNonReadable>(compiler, resource,\n                                                         shader_resource);\n    read_resource_decoration<spv::DecorationNonWritable>(compiler, resource,\n                                                         shader_resource);\n    read_resource_decoration<spv::DecorationDescriptorSet>(compiler, resource,\n                                                           shader_resource);\n    read_resource_decoration<spv::DecorationBinding>(compiler, resource,\n                                                     shader_resource);\n\n    resources.push_back(shader_resource);\n  }\n}\n\ntemplate <>\ninline void read_shader_resource<ShaderResourceType::Sampler>(\n    const spirv_cross::Compiler& compiler, VkShaderStageFlagBits stage,\n    std::vector<ShaderResource>& resources) {\n  auto sampler_resources = compiler.get_shader_resources().separate_samplers;\n\n  for (auto& resource : sampler_resources) {\n    ShaderResource shader_resource{};\n    shader_resource.type = ShaderResourceType::Sampler;\n    shader_resource.stages = stage;\n    shader_resource.name = resource.name;\n\n    read_resource_array_size(compiler, resource, shader_resource);\n    read_resource_decoration<spv::DecorationDescriptorSet>(compiler, resource,\n                                                           shader_resource);\n    read_resource_decoration<spv::DecorationBinding>(compiler, resource,\n                                                     shader_resource);\n\n    resources.push_back(shader_resource);\n  }\n}\n\ntemplate <>\ninline void read_shader_resource<ShaderResourceType::BufferUniform>(\n    const spirv_cross::Compiler& compiler, VkShaderStageFlagBits stage,\n    std::vector<ShaderResource>& resources) {\n  auto uniform_resources = compiler.get_shader_resources().uniform_buffers;\n\n  for (auto& resource : uniform_resources) {\n    ShaderResource shader_resource{};\n    shader_resource.type = ShaderResourceType::BufferUniform;\n    shader_resource.stages = stage;\n    shader_resource.name = resource.name;\n\n    read_resource_size(compiler, resource, shader_resource);\n    read_resource_array_size(compiler, resource, shader_resource);\n    read_resource_decoration<spv::DecorationDescriptorSet>(compiler, resource,\n                                                           shader_resource);\n    read_resource_decoration<spv::DecorationBinding>(compiler, resource,\n                                                     shader_resource);\n\n    resources.push_back(shader_resource);\n  }\n}\n\ntemplate <>\ninline void read_shader_resource<ShaderResourceType::BufferStorage>(\n    const spirv_cross::Compiler& compiler, VkShaderStageFlagBits stage,\n    std::vector<ShaderResource>& resources) {\n  auto storage_resources = compiler.get_shader_resources().storage_buffers;\n\n  for (auto& resource : storage_resources) {\n    ShaderResource shader_resource;\n    shader_resource.type = ShaderResourceType::BufferStorage;\n    shader_resource.stages = stage;\n    shader_resource.name = resource.name;\n\n    read_resource_size(compiler, resource, shader_resource);\n    read_resource_array_size(compiler, resource, shader_resource);\n    read_resource_decoration<spv::DecorationNonReadable>(compiler, resource,\n                                                         shader_resource);\n    read_resource_decoration<spv::DecorationNonWritable>(compiler, resource,\n                                                         shader_resource);\n    read_resource_decoration<spv::DecorationDescriptorSet>(compiler, resource,\n                                                           shader_resource);\n    read_resource_decoration<spv::DecorationBinding>(compiler, resource,\n                                                     shader_resource);\n\n    resources.push_back(shader_resource);\n  }\n}\nvoid parse_shader_resources(const spirv_cross::Compiler& compiler,\n                            VkShaderStageFlagBits stage,\n                            std::vector<ShaderResource>& resources) {\n  read_shader_resource<ShaderResourceType::Input>(compiler, stage, resources);\n  read_shader_resource<ShaderResourceType::InputAttachment>(compiler, stage,\n                                                            resources);\n  read_shader_resource<ShaderResourceType::Output>(compiler, stage, resources);\n  read_shader_resource<ShaderResourceType::Image>(compiler, stage, resources);\n  read_shader_resource<ShaderResourceType::ImageSampler>(compiler, stage,\n                                                         resources);\n  read_shader_resource<ShaderResourceType::ImageStorage>(compiler, stage,\n                                                         resources);\n  read_shader_resource<ShaderResourceType::Sampler>(compiler, stage, resources);\n  read_shader_resource<ShaderResourceType::BufferUniform>(compiler, stage,\n                                                          resources);\n  read_shader_resource<ShaderResourceType::BufferStorage>(compiler, stage,\n                                                          resources);\n}\n\nvoid parse_push_constants(const spirv_cross::Compiler& compiler,\n                          VkShaderStageFlagBits stage,\n                          std::vector<ShaderResource>& resources) {\n  auto shader_resources = compiler.get_shader_resources();\n\n  for (auto& resource : shader_resources.push_constant_buffers) {\n    const auto& spivr_type = compiler.get_type_from_variable(resource.id);\n\n    std::uint32_t offset = std::numeric_limits<std::uint32_t>::max();\n\n    for (auto i = 0U; i < spivr_type.member_types.size(); ++i) {\n      auto mem_offset = compiler.get_member_decoration(spivr_type.self, i,\n                                                       spv::DecorationOffset);\n\n      offset = std::min(offset, mem_offset);\n    }\n\n    ShaderResource shader_resource{};\n    shader_resource.type = ShaderResourceType::PushConstant;\n    shader_resource.stages = stage;\n    shader_resource.name = resource.name;\n    shader_resource.offset = offset;\n\n    read_resource_size(compiler, resource, shader_resource);\n\n    shader_resource.size -= shader_resource.offset;\n\n    resources.push_back(shader_resource);\n  }\n}\n\nvoid parse_specialization_constants(const spirv_cross::Compiler& compiler,\n                                    VkShaderStageFlagBits stage,\n                                    std::vector<ShaderResource>& resources) {\n  auto specialization_constants = compiler.get_specialization_constants();\n\n  for (auto& resource : specialization_constants) {\n    auto& spirv_value = compiler.get_constant(resource.id);\n\n    ShaderResource shader_resource{};\n    shader_resource.type = ShaderResourceType::SpecializationConstant;\n    shader_resource.stages = stage;\n    shader_resource.name = compiler.get_name(resource.id);\n    shader_resource.offset = 0;\n    shader_resource.constant_id = resource.constant_id;\n\n    read_resource_size(compiler, spirv_value, shader_resource);\n\n    resources.push_back(shader_resource);\n  }\n}\n}  // namespace\n\nbool SPIRVReflection::ReflectShaderResources(\n    VkShaderStageFlagBits stage, const std::vector<uint32_t>& spirv,\n    std::vector<ShaderResource>& resources) {\n  spirv_cross::CompilerGLSL compiler{spirv};\n\n  auto opts = compiler.get_common_options();\n  opts.enable_420pack_extension = true;\n\n  compiler.set_common_options(opts);\n\n  parse_shader_resources(compiler, stage, resources);\n  parse_push_constants(compiler, stage, resources);\n  parse_specialization_constants(compiler, stage, resources);\n\n  return true;\n}\n\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/SSAOBlurSubpass.cpp",
    "content": "#include \"vkoo/core/SSAOBlurSubpass.h\"\n\nnamespace vkoo {\nSSAOBlurSubpass::SSAOBlurSubpass(RenderContext& render_context,\n                                 const st::ShaderProgram& shader_program,\n                                 st::Scene& scene, uint32_t ssao_detachment_id)\n    : Subpass{render_context, shader_program, scene},\n      ssao_detachment_id_{ssao_detachment_id} {\n  // Create sampler.\n  VkSamplerCreateInfo sampler_info{};\n  sampler_info.sType = VK_STRUCTURE_TYPE_SAMPLER_CREATE_INFO;\n  sampler_info.magFilter = VK_FILTER_LINEAR;\n  sampler_info.minFilter = VK_FILTER_LINEAR;\n  sampler_info.addressModeU = VK_SAMPLER_ADDRESS_MODE_CLAMP_TO_EDGE;\n  sampler_info.addressModeV = VK_SAMPLER_ADDRESS_MODE_CLAMP_TO_EDGE;\n  sampler_info.addressModeW = VK_SAMPLER_ADDRESS_MODE_CLAMP_TO_EDGE;\n  sampler_info.anisotropyEnable = VK_TRUE;\n  sampler_info.maxAnisotropy = 1.0f;\n  sampler_info.unnormalizedCoordinates = VK_FALSE;\n  sampler_info.compareEnable = VK_FALSE;\n  sampler_info.compareOp = VK_COMPARE_OP_ALWAYS;\n  sampler_info.mipmapMode = VK_SAMPLER_MIPMAP_MODE_LINEAR;\n\n  blur_sampler_ = std::make_unique<vkoo::core::Sampler>(\n      render_context.GetDevice(), sampler_info);\n}\n\nvoid SSAOBlurSubpass::Prepare() {}\n\nvoid SSAOBlurSubpass::Draw(CommandBuffer& command_buffer) {\n  auto& render_frame = render_context_.GetActiveFrame();\n\n  // Bind pipeline layout.\n  auto& resource_cache = command_buffer.GetDevice().GetResourceCache();\n  auto& vert_shader_module = resource_cache.RequestShaderModule(\n      VK_SHADER_STAGE_VERTEX_BIT, shader_program_.vertex_shader_source);\n  auto& frag_shader_module = resource_cache.RequestShaderModule(\n      VK_SHADER_STAGE_FRAGMENT_BIT, shader_program_.fragment_shader_source);\n  std::vector<ShaderModule*> shader_modules{&vert_shader_module,\n                                            &frag_shader_module};\n\n  auto& pipeline_layout = resource_cache.RequestPipelineLayout(shader_modules);\n  command_buffer.BindPipelineLayout(pipeline_layout);\n\n  command_buffer.SetVertexInputState({});  // no vertex input\n\n  // Set cull mode to front as the full screen triangle is clock-wise.\n  RasterizationState rasterization_state{};\n  rasterization_state.cull_mode = VK_CULL_MODE_FRONT_BIT;\n  command_buffer.SetRasterizationState(rasterization_state);\n\n  auto& target_views = render_frame.GetRenderTarget().GetViews();\n\n  // Bind ssao at binding 0.\n  command_buffer.BindImage(target_views.at(ssao_detachment_id_), *blur_sampler_,\n                           0, 0, 0);\n\n  command_buffer.Draw(3, 1, 0, 0);\n}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/SSAOSubpass.cpp",
    "content": "#include \"vkoo/core/SSAOSubpass.h\"\n\nnamespace vkoo {\nSSAOSubpass::SSAOSubpass(RenderContext& render_context,\n                         const st::ShaderProgram& shader_program,\n                         st::Scene& scene, const core::Sampler& texture_sampler,\n                         uint32_t depth_attachment_id,\n                         uint32_t normal_attachment_id)\n    : Subpass{render_context, shader_program, scene},\n      texture_sampler_{texture_sampler},\n      depth_attachment_id_{depth_attachment_id},\n      normal_attachment_id_{normal_attachment_id} {\n  std::default_random_engine rnd_engine((unsigned)time(nullptr));\n  std::uniform_real_distribution<float> rnd_dist(0.0f, 1.0f);\n\n  // Prepare SSAO kernel.\n  std::vector<glm::vec4> ssao_kernel(kSSAOKernelSize);\n  for (size_t i = 0; i < kSSAOKernelSize; i++) {\n    glm::vec3 sample(rnd_dist(rnd_engine) * 2.0 - 1.0,\n                     rnd_dist(rnd_engine) * 2.0 - 1.0,\n                     rnd_dist(rnd_engine));  // hemisphere\n    sample = glm::normalize(sample);\n    sample *= rnd_dist(rnd_engine);\n    ssao_kernel[i] = glm::vec4(sample, 1.0f);\n  }\n  ssao_kernel_buffer_ = std::make_unique<core::Buffer>(\n      render_context.GetDevice(), ssao_kernel.size() * sizeof(glm::vec4),\n      VK_BUFFER_USAGE_UNIFORM_BUFFER_BIT,\n      VK_MEMORY_PROPERTY_HOST_VISIBLE_BIT |\n          VK_MEMORY_PROPERTY_HOST_COHERENT_BIT);\n  ssao_kernel_buffer_->Update(\n      reinterpret_cast<const uint8_t*>(ssao_kernel.data()),\n      ssao_kernel.size() * sizeof(glm::vec4), 0);\n\n  // Prepare SSAO noise texture.\n  std::vector<glm::vec4> ssao_noise(kSSAONoiseDim * kSSAONoiseDim);\n  for (size_t i = 0; i < ssao_noise.size(); i++) {\n    ssao_noise[i] = glm::vec4(rnd_dist(rnd_engine) * 2.0 - 1.0,\n                              rnd_dist(rnd_engine) * 2.0 - 1.0,\n                              rnd_dist(rnd_engine) * 2.0 - 1.0, 0.0f);\n  }\n\n  st::Mipmap mipmap{};\n  mipmap.extent.width = kSSAONoiseDim;\n  mipmap.extent.height = kSSAONoiseDim;\n\n  std::vector<uint8_t> image_data{\n      reinterpret_cast<uint8_t*>(ssao_noise.data()),\n      reinterpret_cast<uint8_t*>(ssao_noise.data()) +\n          ssao_noise.size() * sizeof(glm::vec4)};\n  ssao_noise_image_ = std::make_unique<st::Image>(\n      std::move(image_data), std::vector<st::Mipmap>{mipmap},\n      VK_FORMAT_R32G32B32A32_SFLOAT);\n  ssao_noise_image_->CreateVkImageAndView(render_context.GetDevice(),\n                                          VK_IMAGE_VIEW_TYPE_2D);\n  ssao_noise_image_->UploadDataToGPU(render_context.GetDevice());\n\n  // Create sampler.\n  VkSamplerCreateInfo sampler_info{};\n  sampler_info.sType = VK_STRUCTURE_TYPE_SAMPLER_CREATE_INFO;\n  sampler_info.magFilter = VK_FILTER_LINEAR;\n  sampler_info.minFilter = VK_FILTER_LINEAR;\n  sampler_info.addressModeU = VK_SAMPLER_ADDRESS_MODE_REPEAT;\n  sampler_info.addressModeV = VK_SAMPLER_ADDRESS_MODE_REPEAT;\n  sampler_info.addressModeW = VK_SAMPLER_ADDRESS_MODE_REPEAT;\n  sampler_info.anisotropyEnable = VK_TRUE;\n  sampler_info.maxAnisotropy = 1.0f;\n  sampler_info.unnormalizedCoordinates = VK_FALSE;\n  sampler_info.compareEnable = VK_FALSE;\n  sampler_info.compareOp = VK_COMPARE_OP_ALWAYS;\n  sampler_info.mipmapMode = VK_SAMPLER_MIPMAP_MODE_LINEAR;\n\n  noise_sampler_ = std::make_unique<vkoo::core::Sampler>(\n      render_context.GetDevice(), sampler_info);\n}\n\nvoid SSAOSubpass::Prepare() {}\n\nvoid SSAOSubpass::Draw(CommandBuffer& command_buffer) {\n  auto& render_frame = render_context_.GetActiveFrame();\n\n  // Bind pipeline layout.\n  auto& resource_cache = command_buffer.GetDevice().GetResourceCache();\n  auto& vert_shader_module = resource_cache.RequestShaderModule(\n      VK_SHADER_STAGE_VERTEX_BIT, shader_program_.vertex_shader_source);\n  auto& frag_shader_module = resource_cache.RequestShaderModule(\n      VK_SHADER_STAGE_FRAGMENT_BIT, shader_program_.fragment_shader_source);\n  std::vector<ShaderModule*> shader_modules{&vert_shader_module,\n                                            &frag_shader_module};\n\n  auto& pipeline_layout = resource_cache.RequestPipelineLayout(shader_modules);\n  command_buffer.BindPipelineLayout(pipeline_layout);\n\n  command_buffer.SetVertexInputState({});  // no vertex input\n\n  // Set cull mode to front as the full screen triangle is clock-wise.\n  RasterizationState rasterization_state{};\n  rasterization_state.cull_mode = VK_CULL_MODE_FRONT_BIT;\n  command_buffer.SetRasterizationState(rasterization_state);\n\n  auto& target_views = render_frame.GetRenderTarget().GetViews();\n\n  // Depth at binding 0.\n  command_buffer.BindImage(target_views.at(depth_attachment_id_),\n                           texture_sampler_, 0, 0, 0);\n  // Normal at binding 1.\n  command_buffer.BindImage(target_views.at(normal_attachment_id_),\n                           texture_sampler_, 0, 1, 0);\n\n  // Bind ssao noise image at binding 2.\n  command_buffer.BindImage(ssao_noise_image_->GetVkImageView(), *noise_sampler_,\n                           0, 2, 0);\n\n  // Bind ssao kernel at binding 3.\n  command_buffer.BindBuffer(*ssao_kernel_buffer_, 0,\n                            ssao_kernel_buffer_->GetSize(), 0, 3, 0);\n\n  CameraUniform camera_uniform;\n  const st::Camera& camera = *scene_.GetActiveCameraPtr();\n  glm::mat4 view_proj_mat =\n      VulkanStyleProjection(camera.GetProjectionMatrix()) *\n      camera.GetViewMatrix();\n  camera_uniform.world_to_clip_mat = view_proj_mat;\n  camera_uniform.clip_to_world_mat = glm::inverse(view_proj_mat);\n\n  core::Buffer& buffer = render_frame.AllocateBuffer(\n      VK_BUFFER_USAGE_UNIFORM_BUFFER_BIT, sizeof(CameraUniform));\n  buffer.ConvertAndUpdate(camera_uniform);\n\n  // Bind camera uniform at binding 4.\n  command_buffer.BindBuffer(buffer, 0, buffer.GetSize(), 0, 4, 0);\n\n  command_buffer.Draw(3, 1, 0, 0);\n}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/Sampler.cpp",
    "content": "#include \"vkoo/core/Sampler.h\"\n\n#include \"vkoo/core/Device.h\"\n\nnamespace vkoo {\nnamespace core {\nSampler::Sampler(Device& device, const VkSamplerCreateInfo& info)\n    : device_{device} {\n  VK_CHECK(vkCreateSampler(device_.GetHandle(), &info, nullptr, &handle_));\n}\n\nSampler::Sampler(Sampler&& other)\n    : device_{other.device_}, handle_{other.handle_} {\n  other.handle_ = VK_NULL_HANDLE;\n}\n\nSampler::~Sampler() {\n  if (handle_ != VK_NULL_HANDLE) {\n    vkDestroySampler(device_.GetHandle(), handle_, nullptr);\n  }\n}\n}  // namespace core\n\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/SemaphorePool.cpp",
    "content": "#include \"vkoo/core/SemaphorePool.h\"\n\n#include \"vkoo/core/Device.h\"\n\nnamespace vkoo {\nSemaphorePool::SemaphorePool(Device& device)\n    : device_{device}, active_semaphore_count_{0} {}\n\nSemaphorePool::~SemaphorePool() {\n  Reset();\n\n  for (VkSemaphore semaphore : semaphores_) {\n    vkDestroySemaphore(device_.GetHandle(), semaphore, nullptr);\n  }\n\n  semaphores_.clear();\n}\n\nVkSemaphore SemaphorePool::RequestSemaphore() {\n  if (active_semaphore_count_ < semaphores_.size()) {\n    return semaphores_.at(active_semaphore_count_++);\n  }\n  VkSemaphore semaphore{VK_NULL_HANDLE};\n  VkSemaphoreCreateInfo create_info{VK_STRUCTURE_TYPE_SEMAPHORE_CREATE_INFO};\n  VK_CHECK(vkCreateSemaphore(device_.GetHandle(), &create_info, nullptr,\n                             &semaphore));\n  semaphores_.push_back(semaphore);\n  active_semaphore_count_++;\n\n  return semaphore;\n}\n\nvoid SemaphorePool::Reset() { active_semaphore_count_ = 0; }\n\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/ShaderModule.cpp",
    "content": "#include \"vkoo/core/ShaderModule.h\"\n\n#include \"vkoo/core/Device.h\"\n#include \"vkoo/core/GLSLCompiler.h\"\n#include \"vkoo/core/SPIRVReflection.h\"\n#include \"vkoo/utils.h\"\n#include \"vkoo/logging.h\"\n\nnamespace vkoo {\nnamespace {\nstd::string ReadTextFile(const std::string& filename) {\n  std::vector<std::string> data;\n  std::ifstream file;\n  file.open(filename, std::ios::in);\n  if (!file.is_open()) {\n    throw std::runtime_error(\"Failed to open file: \" + filename);\n  }\n\n  return std::string{(std::istreambuf_iterator<char>(file)),\n                     (std::istreambuf_iterator<char>())};\n}\n\ninline std::vector<std::string> PrecompileShaders(const std::string& source) {\n  std::vector<std::string> final_file;\n\n  auto lines = Split(source, '\\n');\n\n  for (auto& line : lines) {\n    if (line.find(\"#include \\\"\") == 0) {\n      std::string include_path = line.substr(10);\n      size_t last_quote = include_path.find(\"\\\"\");\n      if (!include_path.empty() && last_quote != std::string::npos) {\n        include_path = include_path.substr(0, last_quote);\n      }\n\n      // Include paths are relative to the base shader directory.\n      auto include_file =\n          PrecompileShaders(GetShaderPath() + \"/\" + include_path);\n      for (auto& include_file_line : include_file) {\n        final_file.push_back(include_file_line);\n      }\n    } else {\n      final_file.push_back(line);\n    }\n  }\n\n  return final_file;\n}\n\ninline std::vector<uint8_t> ConvertToBytes(std::vector<std::string>& lines) {\n  std::vector<uint8_t> bytes;\n\n  for (auto& line : lines) {\n    line += \"\\n\";\n    std::vector<uint8_t> line_bytes(line.begin(), line.end());\n    bytes.insert(bytes.end(), line_bytes.begin(), line_bytes.end());\n  }\n\n  return bytes;\n}\n}  // namespace\n\nShaderModule::ShaderModule(Device& device, VkShaderStageFlagBits stage,\n                           const ShaderSource& shader_source,\n                           const ShaderVariant& shader_variant)\n    : device_(device), stage_(stage), entry_point_(shader_source.entry_point) {\n  std::string source = ReadTextFile(shader_source.glsl_file);\n  std::string info_log;\n\n  auto precompiled_source = PrecompileShaders(source);\n  if (!GLSLCompiler::CompileToSPIRV(stage, ConvertToBytes(precompiled_source),\n                                    entry_point_, shader_variant, spirv_,\n                                    info_log)) {\n    throw std::runtime_error(\n        fmt::format(\"Shader compilation failed for {}.\\nInfo: {}\",\n                    shader_source.glsl_file, info_log));\n  }\n\n  if (!SPIRVReflection::ReflectShaderResources(stage, spirv_, resources_)) {\n    throw std::runtime_error(fmt::format(\n        \"Cannot reflect shader resources of {}!\", shader_source.glsl_file));\n  }\n  std::hash<std::string> hasher{};\n  hash_id_ = hasher(std::string{spirv_.cbegin(), spirv_.cend()});\n}\n\nVkShaderStageFlagBits ShaderModule::GetStage() const { return stage_; }\n\nconst std::string& ShaderModule::GetEntryPoint() const { return entry_point_; }\n\nvoid ShaderVariant::AddDef(const std::string& def) {\n  processes_.push_back(\"D\" + def);\n  preamble_.append(\"#define \" + def + \"\\n\");\n\n  UpdateHashId();\n}\n\nvoid ShaderVariant::AddUndef(const std::string& def) {\n  processes_.push_back(\"U\" + def);\n  preamble_.append(\"#undef\" + def + \"\\n\");\n\n  UpdateHashId();\n}\n\nvoid ShaderVariant::UpdateHashId() {\n  std::hash<std::string> hasher{};\n  hash_id_ = hasher(preamble_);\n}\n\nconst std::string& ShaderVariant::GetPreamble() const { return preamble_; }\n\nconst std::vector<std::string>& ShaderVariant::GetProcesses() const {\n  return processes_;\n}\n\nsize_t ShaderVariant::GetHashId() const { return hash_id_; }\n\nvoid ShaderVariant::Clear() {\n  preamble_.clear();\n  processes_.clear();\n  UpdateHashId();\n}\n\nShaderVariant::ShaderVariant() { UpdateHashId(); }\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/Subpass.cpp",
    "content": "#include \"vkoo/core/Subpass.h\"\n\nnamespace vkoo {\n\nSubpass::Subpass(RenderContext& render_context,\n                 const st::ShaderProgram& shader_program, st::Scene& scene)\n    : render_context_{render_context},\n      shader_program_{shader_program},\n      scene_{scene} {}\n\nglm::mat4 VulkanStyleProjection(const glm::mat4& proj) {\n  // Flip Y in clipspace. X = -1, Y = -1 is top-left in Vulkan.\n  glm::mat4 mat = proj;\n  mat[1][1] *= -1;\n\n  return mat;\n}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/Swapchain.cpp",
    "content": "#include \"vkoo/core/Swapchain.h\"\n\n#include \"vkoo/logging.h\"\n\nnamespace vkoo {\n\nnamespace {\nVkSurfaceFormatKHR ChooseSurfaceFormat(\n    const std::vector<VkSurfaceFormatKHR>& formats) {\n  for (const auto& x : formats) {\n    if (x.format == VK_FORMAT_B8G8R8A8_SRGB &&\n        x.colorSpace == VK_COLOR_SPACE_SRGB_NONLINEAR_KHR) {\n      return x;\n    }\n  }\n  return formats[0];\n}\n\nVkPresentModeKHR ChoosePresentMode(\n    const std::vector<VkPresentModeKHR>& present_modes) {\n  for (const auto& mode : present_modes) {\n    if (mode == VK_PRESENT_MODE_MAILBOX_KHR) {\n      return mode;\n    }\n  }\n  return VK_PRESENT_MODE_FIFO_KHR;\n}\n\nuint32_t ChooseImageCount(uint32_t min_count, uint32_t max_count) {\n  uint32_t image_count = min_count + 1;\n  if (max_count > 0 && image_count > max_count) {\n    image_count = max_count;\n  }\n  return image_count;\n}\n\nVkExtent2D ChooseExtent(VkExtent2D request_extent,\n                        const VkExtent2D& min_image_extent,\n                        const VkExtent2D& max_image_extent,\n                        const VkExtent2D& current_extent) {\n  if (request_extent.width < 1 || request_extent.height < 1) {\n    return current_extent;\n  }\n\n  request_extent.width = std::max(request_extent.width, min_image_extent.width);\n  request_extent.width = std::min(request_extent.width, max_image_extent.width);\n\n  request_extent.height =\n      std::max(request_extent.height, min_image_extent.height);\n  request_extent.height =\n      std::min(request_extent.height, max_image_extent.height);\n\n  return request_extent;\n}\n\n}  // namespace\n\nSwapchain::Swapchain(Swapchain& old_swapchain, const VkExtent2D& new_extent)\n    : Swapchain{old_swapchain.GetHandle(), old_swapchain.device_,\n                old_swapchain.surface_, new_extent} {\n  Create();\n}\n\nSwapchain::Swapchain(Device& device, VkSurfaceKHR surface,\n                     const VkExtent2D& extent)\n    : Swapchain{VK_NULL_HANDLE, device, surface, extent} {}\n\nSwapchain::Swapchain(VkSwapchainKHR old_swapchain, Device& device,\n                     VkSurfaceKHR surface, const VkExtent2D& extent)\n    : device_{device}, surface_{surface} {\n  VkPhysicalDevice gpu_handle = device_.GetGPU().GetHandle();\n  VkSurfaceCapabilitiesKHR surface_capabilities{};\n  vkGetPhysicalDeviceSurfaceCapabilitiesKHR(gpu_handle, surface,\n                                            &surface_capabilities);\n\n  uint32_t surface_format_count;\n  VK_CHECK(vkGetPhysicalDeviceSurfaceFormatsKHR(\n      gpu_handle, surface, &surface_format_count, nullptr));\n  surface_formats_.resize(surface_format_count);\n  VK_CHECK(vkGetPhysicalDeviceSurfaceFormatsKHR(\n      gpu_handle, surface, &surface_format_count, surface_formats_.data()));\n\n  uint32_t present_mode_count;\n  VK_CHECK(vkGetPhysicalDeviceSurfacePresentModesKHR(\n      gpu_handle, surface, &present_mode_count, nullptr));\n  present_modes_.resize(present_mode_count);\n  VK_CHECK(vkGetPhysicalDeviceSurfacePresentModesKHR(\n      gpu_handle, surface, &present_mode_count, present_modes_.data()));\n\n  properties_.image_count = ChooseImageCount(\n      surface_capabilities.minImageCount, surface_capabilities.maxImageCount);\n  properties_.surface_format = ChooseSurfaceFormat(surface_formats_);\n  properties_.image_usage = VK_IMAGE_USAGE_COLOR_ATTACHMENT_BIT;\n  if (surface_capabilities.supportedUsageFlags &\n      VK_IMAGE_USAGE_TRANSFER_SRC_BIT) {\n    // Screenshot support.\n    properties_.image_usage |= VK_IMAGE_USAGE_TRANSFER_SRC_BIT;\n  }\n  properties_.present_mode = ChoosePresentMode(present_modes_);\n  properties_.extent = ChooseExtent(extent, surface_capabilities.minImageExtent,\n                                    surface_capabilities.maxImageExtent,\n                                    surface_capabilities.currentExtent);\n  properties_.pre_transform = surface_capabilities.currentTransform;\n  properties_.old_swapchain = old_swapchain;\n}\n\nvoid Swapchain::Create() {\n  VkSwapchainCreateInfoKHR create_info{};\n  create_info.sType = VK_STRUCTURE_TYPE_SWAPCHAIN_CREATE_INFO_KHR;\n  create_info.minImageCount = properties_.image_count;\n  create_info.imageExtent = properties_.extent;\n  create_info.presentMode = properties_.present_mode;\n  create_info.imageFormat = properties_.surface_format.format;\n  create_info.imageColorSpace = properties_.surface_format.colorSpace;\n  create_info.imageArrayLayers = 1;\n  create_info.imageUsage = properties_.image_usage;\n  create_info.preTransform = properties_.pre_transform;\n  create_info.compositeAlpha = VK_COMPOSITE_ALPHA_OPAQUE_BIT_KHR;\n  create_info.oldSwapchain = properties_.old_swapchain;\n  create_info.surface = surface_;\n  create_info.imageSharingMode = VK_SHARING_MODE_EXCLUSIVE;\n  create_info.clipped = VK_TRUE;\n\n  VK_CHECK(vkCreateSwapchainKHR(device_.GetHandle(), &create_info, nullptr,\n                                &handle_));\n\n  uint32_t image_available_count;\n  VK_CHECK(vkGetSwapchainImagesKHR(device_.GetHandle(), handle_,\n                                   &image_available_count, nullptr));\n\n  images_.resize(image_available_count);\n\n  VK_CHECK(vkGetSwapchainImagesKHR(device_.GetHandle(), handle_,\n                                   &image_available_count, images_.data()));\n}\n\nVkFormat Swapchain::GetFormat() const {\n  return properties_.surface_format.format;\n}\n\nVkImageUsageFlags Swapchain::GetUsage() const {\n  return VK_IMAGE_USAGE_COLOR_ATTACHMENT_BIT;\n}\n\nVkResult Swapchain::AcquireNextImage(uint32_t& image_index,\n                                     VkSemaphore image_acquired_semaphore,\n                                     VkFence fence) {\n  return vkAcquireNextImageKHR(device_.GetHandle(), handle_,\n                               std::numeric_limits<uint64_t>::max(),\n                               image_acquired_semaphore, fence, &image_index);\n}\n\nSwapchain::~Swapchain() {\n  if (handle_ != VK_NULL_HANDLE) {\n    vkDestroySwapchainKHR(device_.GetHandle(), handle_, nullptr);\n    handle_ = VK_NULL_HANDLE;\n  }\n}\n\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/core/VertexObject.cpp",
    "content": "#include \"vkoo/core/VertexObject.h\"\n\nnamespace vkoo {\nVertexObject::VertexObject(Device& device) : device_(device) {}\n\nvoid VertexObject::UpdateIndices(const std::vector<uint32_t>& indices) {\n  size_t data_size = indices.size() * sizeof(indices[0]);\n  index_buffer_ = std::make_unique<core::Buffer>(\n      device_, static_cast<VkDeviceSize>(data_size),\n      VK_BUFFER_USAGE_INDEX_BUFFER_BIT,\n      VK_MEMORY_PROPERTY_HOST_VISIBLE_BIT |\n          VK_MEMORY_PROPERTY_HOST_COHERENT_BIT);\n  index_buffer_->Update(reinterpret_cast<const uint8_t*>(indices.data()),\n                        data_size, 0);\n  index_count_ = indices.size();\n}\n\ncore::Buffer* VertexObject::FindResource(const std::string& name) {\n  auto it = vertex_buffer_dict_.find(name);\n  if (it == vertex_buffer_dict_.end()) {\n    return nullptr;\n  } else {\n    return &it->second;\n  }\n}\n\nint VertexObject::GetResourceCount(const std::string& name) {\n  auto it = attribute_resource_count_.find(name);\n  if (it == attribute_resource_count_.end()) {\n    return -1;\n  }\n  return static_cast<int>(it->second);\n}\n\nVertexObject::~VertexObject() {\n  // Need to wait all queue operations to finish before destroying the buffers.\n  device_.WaitIdle();\n}\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/st/Image.cpp",
    "content": "#include \"vkoo/st/Image.h\"\n\n#include \"vkoo/utils.h\"\n\n#define STB_IMAGE_IMPLEMENTATION\n#include <stb_image.h>\n\nnamespace vkoo {\nnamespace st {\nImage::Image(std::vector<uint8_t>&& data, std::vector<Mipmap>&& mipmaps,\n             VkFormat format)\n    : data_{std::move(data)}, mipmaps_{mipmaps}, format_{format} {}\n\nvoid Image::CreateVkImageAndView(Device& device,\n                                 VkImageViewType image_view_type,\n                                 VkImageCreateFlags flags) {\n  vk_image_ = std::make_unique<core::Image>(\n      device, GetExtent(), format_,\n      VK_IMAGE_USAGE_SAMPLED_BIT | VK_IMAGE_USAGE_TRANSFER_DST_BIT,\n      VK_MEMORY_PROPERTY_DEVICE_LOCAL_BIT, VK_SAMPLE_COUNT_1_BIT,\n      VK_IMAGE_TILING_OPTIMAL, flags);\n\n  vk_image_view_ =\n      std::make_unique<core::ImageView>(*vk_image_, image_view_type);\n}\n\nvoid Image::UploadDataToGPU(Device& device) {\n  auto& command_buffer = device.RequestCommandBuffer();\n  command_buffer.Begin(VK_COMMAND_BUFFER_USAGE_ONE_TIME_SUBMIT_BIT);\n\n  core::Buffer staging_buffer{device, data_.size(),\n                              VK_BUFFER_USAGE_TRANSFER_SRC_BIT,\n                              VK_MEMORY_PROPERTY_HOST_VISIBLE_BIT |\n                                  VK_MEMORY_PROPERTY_HOST_COHERENT_BIT};\n  staging_buffer.Update(data_);\n  {\n    ImageMemoryBarrier memory_barrier{};\n    memory_barrier.old_layout = VK_IMAGE_LAYOUT_UNDEFINED;\n    memory_barrier.new_layout = VK_IMAGE_LAYOUT_TRANSFER_DST_OPTIMAL;\n    memory_barrier.src_access_mask = 0;\n    memory_barrier.dst_access_mask = VK_ACCESS_TRANSFER_WRITE_BIT;\n    memory_barrier.src_stage_mask = VK_PIPELINE_STAGE_HOST_BIT;\n    memory_barrier.dst_stage_mask = VK_PIPELINE_STAGE_TRANSFER_BIT;\n\n    command_buffer.InsertImageMemoryBarrier(*vk_image_view_, memory_barrier);\n  }\n\n  // Create a buffer image copy for every mip level.\n  auto& mipmaps = mipmaps_;\n\n  std::vector<VkBufferImageCopy> buffer_copy_regions(mipmaps.size());\n\n  for (size_t i = 0; i < mipmaps.size(); i++) {\n    auto& mipmap = mipmaps[i];\n    auto& copy_region = buffer_copy_regions[i];\n\n    copy_region.bufferOffset = mipmap.offset;\n    copy_region.imageSubresource = vk_image_view_->GetSubresourceLayers();\n\n    copy_region.imageSubresource.mipLevel = mipmap.level;\n    copy_region.imageExtent.width = mipmap.extent.width;\n    copy_region.imageExtent.height = mipmap.extent.height;\n    copy_region.imageExtent.depth = 1;\n  }\n\n  command_buffer.CopyBufferToImage(staging_buffer, *vk_image_,\n                                   buffer_copy_regions);\n\n  {\n    ImageMemoryBarrier memory_barrier{};\n    memory_barrier.old_layout = VK_IMAGE_LAYOUT_TRANSFER_DST_OPTIMAL;\n    memory_barrier.new_layout = VK_IMAGE_LAYOUT_SHADER_READ_ONLY_OPTIMAL;\n    memory_barrier.src_access_mask = VK_ACCESS_TRANSFER_WRITE_BIT;\n    memory_barrier.dst_access_mask = VK_ACCESS_SHADER_READ_BIT;\n    memory_barrier.src_stage_mask = VK_PIPELINE_STAGE_TRANSFER_BIT;\n    memory_barrier.dst_stage_mask = VK_PIPELINE_STAGE_FRAGMENT_SHADER_BIT;\n\n    command_buffer.InsertImageMemoryBarrier(*vk_image_view_, memory_barrier);\n  }\n  command_buffer.End();\n\n  auto& queue = device.GetQueueByFlags(VK_QUEUE_GRAPHICS_BIT, 0);\n\n  queue.Submit(command_buffer, device.RequestFence());\n\n  device.GetFencePool().Wait();\n  device.GetFencePool().Reset();\n  device.GetCommandPool().ResetPool();\n  device.WaitIdle();\n}\n\nstd::unique_ptr<Image> Image::Load(const std::string& image_path) {\n  std::vector<uint8_t> data = ReadBinaryFile(image_path);\n  int width;\n  int height;\n  int comp;\n  int req_comp = 4;\n\n  auto data_buffer = reinterpret_cast<const stbi_uc*>(data.data());\n  auto data_size = static_cast<int>(data.size());\n\n  auto raw_data = stbi_load_from_memory(data_buffer, data_size, &width, &height,\n                                        &comp, req_comp);\n\n  if (!raw_data) {\n    throw std::runtime_error{\"Failed to load \" + image_path + \": \" +\n                             stbi_failure_reason()};\n  }\n\n  Mipmap mipmap{};\n  mipmap.extent.width = width;\n  mipmap.extent.height = height;\n\n  std::vector<uint8_t> image_data{raw_data,\n                                  raw_data + width * height * req_comp};\n  auto image = std::make_unique<Image>(std::move(image_data),\n                                       std::vector<Mipmap>{mipmap});\n\n  stbi_image_free(raw_data);\n\n  return image;\n}\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/st/Material.cpp",
    "content": "#include \"vkoo/st/Material.h\"\n"
  },
  {
    "path": "vkoo/src/st/Node.cpp",
    "content": "#include \"vkoo/st/Node.h\"\n\nnamespace vkoo {\nnamespace st {\n\nvoid Node::GatherComponentsRecursive(std::type_index index,\n                                     std::vector<ComponentBase*>& result,\n                                     bool visible_only) const {\n  if (!visible_) {\n    return;\n  }\n  ComponentBase* component = GetComponent(index);\n  if (component != nullptr) {\n    result.push_back(component);\n  }\n  size_t child_count = GetChildrenCount();\n  for (size_t i = 0; i < child_count; i++) {\n    Node& child = GetChild(i);\n    child.GatherComponentsRecursive(index, result);\n  }\n}\n\nComponentBase* Node::GetComponent(std::type_index index) const {\n  auto itr = component_dict_.find(index);\n  if (itr != component_dict_.end()) {\n    return itr->second.get();\n  } else {\n    return nullptr;\n  }\n}\n\nNode::Node() : transform_(*this) {}\n\nvoid Node::AddChild(std::unique_ptr<Node> child) {\n  child->parent_ = this;\n  children_.emplace_back(std::move(child));\n}\n\nstd::unique_ptr<Node> Node::RemoveChild(std::function<bool(Node*)> predicate) {\n  auto it = std::find_if(children_.begin(), children_.end(),\n                         [&](const std::unique_ptr<Node>& child) {\n                           if (predicate(child.get())) {\n                             return true;\n                           }\n                           return false;\n                         });\n  if (it == children_.end()) {\n    return nullptr;\n  }\n  auto ret = std::move(*it);\n  children_.erase(it);\n  return ret;\n}\n\nstd::unique_ptr<Node> Node::RemoveChild(Node* child) {\n  return RemoveChild([&](Node* node) { return node == child; });\n}\n\nvoid Node::RemoveAllChildren() { children_.clear(); }\n\nvoid Node::RemoveFromParent() {\n  assert(parent_);\n  parent_->RemoveChild(this);\n}\n\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/st/Scene.cpp",
    "content": "#include \"vkoo/st/Scene.h\"\n\nnamespace vkoo {\nnamespace st {\nCamera* Scene::GetActiveCameraPtr() const { return active_camera_ptr_; }\n\nvoid Scene::SetActiveCameraPtr(Camera* active_camera_ptr) {\n  active_camera_ptr_ = active_camera_ptr;\n}\n\nScene::Scene(std::unique_ptr<Node> root) : root_(std::move(root)) {}\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/st/ShaderProgram.cpp",
    "content": "#include \"vkoo/st/ShaderProgram.h\"\n\nnamespace vkoo {\nnamespace st {\nShaderProgram::ShaderProgram(const ShaderSource& vertex_shader_source,\n                             const ShaderSource& fragment_shader_source)\n    : vertex_shader_source(vertex_shader_source),\n      fragment_shader_source(fragment_shader_source) {}\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/st/Texture.cpp",
    "content": "#include \"vkoo/st/Texture.h\"\n"
  },
  {
    "path": "vkoo/src/st/Transform.cpp",
    "content": "#include \"vkoo/st/Transform.h\"\n\n#include \"vkoo/st/Node.h\"\n\nnamespace vkoo {\nnamespace st {\nTransform::Transform(Node& node)\n    : position_{0.f, 0.f, 0.f},\n      rotation_(glm::quat(1.f, 0.f, 0.f, 0.f)),\n      scale_(glm::vec3(1.f)),\n      node_(node) {\n  UpdateLocalTransformMatrix();\n}\n\nvoid Transform::SetPosition(const glm::vec3& position) {\n  position_ = position;\n  UpdateLocalTransformMatrix();\n}\n\nvoid Transform::SetRotation(const glm::quat& rotation) {\n  rotation_ = rotation;\n  UpdateLocalTransformMatrix();\n}\n\nvoid Transform::SetRotation(const glm::vec3& axis, float angle) {\n  SetRotation(glm::quat(cosf(angle / 2), axis.x * sinf(angle / 2),\n                        axis.y * sinf(angle / 2), axis.z * sinf(angle / 2)));\n}\n\nvoid Transform::SetScale(const glm::vec3& scale) {\n  scale_ = scale;\n  UpdateLocalTransformMatrix();\n}\n\nvoid Transform::SetMatrix4x4(const glm::mat4& T) {\n  glm::vec3 skew;\n  glm::vec4 perspective;\n  glm::decompose(T, scale_, rotation_, position_, skew, perspective);\n  // The assumption is that T doesn't have skew or perspective components.\n  UpdateLocalTransformMatrix();\n}\n\nglm::vec3 Transform::GetForwardDirection() const {\n  return glm::mat3_cast(rotation_) * GetWorldForward();\n}\n\nglm::vec3 Transform::GetUpDirection() const {\n  return glm::mat3_cast(rotation_) * GetWorldUp();\n}\n\nglm::vec3 Transform::GetRightDirection() const {\n  return glm::mat3_cast(rotation_) * GetWorldRight();\n}\n\nglm::vec3 Transform::GetWorldUp() { return glm::vec3(0.f, 1.f, 0.f); }\n\nglm::vec3 Transform::GetWorldRight() { return glm::vec3(1.f, 0.f, 0.f); }\n\nglm::vec3 Transform::GetWorldForward() { return glm::vec3(0.f, 0.f, -1.f); }\n\nglm::vec3 Transform::GetWorldPosition() const {\n  return glm::vec3(GetLocalToWorldMatrix() * glm::vec4(0.0f, 0.0f, 0.0f, 1.0f));\n}\n\nglm::mat4 Transform::GetLocalToParentMatrix() const {\n  return local_transform_mat_;\n}\n\nglm::mat4 Transform::GetLocalToAncestorMatrix(Node* ancestor) const {\n  Node* parent = node_.GetParentPtr();\n  if (parent == ancestor) {\n    return local_transform_mat_;\n  } else {\n    if (parent == nullptr) {\n      throw std::runtime_error(\"Ancestor does not exist!\");\n    }\n    return parent->GetTransform().GetLocalToAncestorMatrix(ancestor) *\n           local_transform_mat_;\n  }\n}\n\nglm::mat4 Transform::GetLocalToWorldMatrix() const {\n  return GetLocalToAncestorMatrix(nullptr);\n}\n\nglm::mat4 Transform::GetWorldToLocalMatrix() const {\n  return glm::inverse(GetLocalToWorldMatrix());\n}\n\nvoid Transform::UpdateLocalTransformMatrix() {\n  glm::mat4 new_matrix(1.f);\n\n  // Order: scale, rotate, translate\n  new_matrix = glm::scale(glm::mat4(1.f), scale_) * new_matrix;\n  new_matrix = glm::mat4_cast(rotation_) * new_matrix;\n  new_matrix = glm::translate(glm::mat4(1.f), position_) * new_matrix;\n\n  local_transform_mat_ = std::move(new_matrix);\n}\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/st/components/Camera.cpp",
    "content": "#include \"vkoo/st/components/Camera.h\"\n\n#include <vkoo/st/hittables/Ray.h>\n\n#include \"vkoo/st/Node.h\"\n#include \"vkoo/st/Transform.h\"\n\nnamespace vkoo {\nnamespace st {\nCamera::Camera(float fov, float aspect_ratio, float z_near, float z_far)\n    : fov_(fov), aspect_ratio_(aspect_ratio), z_near_(z_near), z_far_(z_far) {}\n\nglm::mat4 Camera::GetProjectionMatrix() const {\n  return glm::perspective(fov_ * kPi / 180.f, aspect_ratio_, z_near_, z_far_);\n}\n\nglm::vec3 Camera::GetFrontDirection() const {\n  Ray ray{{0, 0, 0}, {0, 0, 1}};\n  glm::mat4 proj_view_mat = GetProjectionMatrix() * GetViewMatrix();\n  ray.ApplyTransform(glm::inverse(proj_view_mat));\n  ray.SetDirection(glm::normalize(ray.GetDirection()));\n  return ray.GetDirection();\n}\n\nglm::mat4 Camera::GetViewMatrix() const {\n  if (prescribed_view_mat_) {\n    return *prescribed_view_mat_;\n  }\n  return glm::inverse(GetNode()->GetTransform().GetLocalToWorldMatrix());\n}\n\nvoid Camera::SetPrescribedViewMatrix(const glm::mat4& view_mat) {\n  prescribed_view_mat_ = std::make_unique<glm::mat4>(view_mat);\n}\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/st/components/ComponentBase.cpp",
    "content": "#include \"vkoo/st/components/ComponentBase.h\"\n"
  },
  {
    "path": "vkoo/src/st/components/Light.cpp",
    "content": "#include \"vkoo/st/components/Light.h\"\n\nnamespace vkoo {\nnamespace st {\nconst LightProperties& Light::GetProperties() const { return properties_; }\n\nLightType Light::GetLightType() const { return type_; }\n\nvoid Light::SetProperties(const LightProperties& properties) {\n  properties_ = properties;\n}\n\nvoid Light::SetType(LightType type) { type_ = type; }\n\nstd::type_index Light::GetType() const { return typeid(Light); }\n\n}  // namespace st\n}  // namespace vkoo"
  },
  {
    "path": "vkoo/src/st/components/Mesh.cpp",
    "content": "#include \"vkoo/st/components/Mesh.h\"\n\n#include \"vkoo/st/Material.h\"\n\nnamespace vkoo {\nnamespace st {\nMesh::Mesh(std::shared_ptr<VertexObject> vertex_object, uint32_t index_count,\n           uint32_t index_offset)\n    : vertex_object_{std::move(vertex_object)},\n      index_offset_{index_offset},\n      index_count_{index_count} {\n  if (vertex_object_->FindResource(\"tex_coord\") == nullptr) {\n    vertex_object_->Update(\n        \"tex_coord\",\n        std::vector<glm::vec2>(vertex_object_->GetResourceCount(\"position\"),\n                               glm::vec2(0.0f, 0.0f)));\n  }\n  SetAttributes(vertex_object_->GetVertexAttributes());\n}\n\nvoid Mesh::SetAttribute(const std::string& name,\n                        const VertexAttribute& attribute) {\n  vertex_attributes_[name] = attribute;\n}\n\nvoid Mesh::SetAttributes(\n    const std::unordered_map<std::string, VertexAttribute>& attributes) {\n  for (const auto& kv : attributes) {\n    vertex_attributes_[kv.first] = kv.second;\n  }\n}\n\nstd::optional<VertexAttribute> Mesh::GetAttribute(\n    const std::string& name) const {\n  auto it = vertex_attributes_.find(name);\n  if (it == vertex_attributes_.end()) {\n    return {};\n  }\n  return it->second;\n}\n\nvoid Mesh::SetMaterial(const Material& material) {\n  material_ = &material;\n  UpdateShaderVariant();\n}\n\nvoid Mesh::UpdateShaderVariant() {\n  shader_variant_.Clear();\n  if (material_ != nullptr) {\n    for (auto& pv : material_->textures) {\n      std::string texture_name = pv.first;\n      std::transform(texture_name.begin(), texture_name.end(),\n                     texture_name.begin(), toupper);\n\n      shader_variant_.AddDef(\"HAS_\" + texture_name);\n    }\n  }\n  if (topology_ == PrimitiveTopology::PointList) {\n    shader_variant_.AddDef(\"DRAW_POINTS_ONLY\");\n  }\n  if (GetAttribute(\"color\")) {\n    shader_variant_.AddDef(\"PER_VERTEX_COLOR\");\n  }\n}\n\nstd::type_index Mesh::GetType() const { return typeid(Mesh); }\n\nPrimitiveTopology Mesh::GetPrimitiveTopology() const { return topology_; }\n\nvoid Mesh::SetPrimitiveTopology(PrimitiveTopology topology) {\n  topology_ = topology;\n  UpdateShaderVariant();\n}\n\nPolygonMode Mesh::GetPolygonMode() const { return polygon_mode_; }\n\nvoid Mesh::SetPolygonMode(PolygonMode polygon_mode) {\n  polygon_mode_ = polygon_mode;\n}\n\nvoid Mesh::SetTransparent(bool transparent) { transparent_ = transparent; }\n\nvoid Mesh::SetAllowDepthTesting(bool allow) { allow_depth_testing_ = allow; }\n\nfloat Mesh::GetLineWidth() const { return line_width_; }\n\nvoid Mesh::SetLineWidth(float line_width) { line_width_ = line_width; }\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/st/components/Script.cpp",
    "content": "#include \"vkoo/st/components/Script.h\"\n\nnamespace vkoo {\nnamespace st {\nScript::Script(Node& node) { SetNode(&node); }\n\nstd::type_index Script::GetType() const { return typeid(Script); }\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/st/components/Tracing.cpp",
    "content": "#include \"vkoo/st/components/Tracing.h\"\n\nnamespace vkoo {\nnamespace st {\nTracing::Tracing(std::shared_ptr<HittableBase> hittable)\n    : hittable_{hittable} {}\n\nstd::type_index Tracing::GetType() const { return typeid(Tracing); }\n\nvoid Tracing::SetHittable(std::shared_ptr<HittableBase> hittable) {\n  hittable_ = hittable;\n}\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/st/hittables/AABB.cpp",
    "content": "#include \"vkoo/st/hittables/AABB.h\"\n\nnamespace vkoo {\nnamespace st {\nAABB::AABB(const glm::vec3& mn, const glm::vec3& mx) : mn_{mn}, mx_{mx} {}\n\nbool AABB::Intersect(const Ray& ray, HitRecord& record) const {\n  auto ray_dir = ray.GetDirection();\n  auto ray_origin = ray.GetOrigin();\n\n  float divx = 1 / (ray_dir[0] + 1e-8f);\n  float divy = 1 / (ray_dir[1] + 1e-8f);\n  float divz = 1 / (ray_dir[2] + 1e-8f);\n\n  float tx0 = (mn_[0] - ray_origin[0]) * divx;\n  float tx1 = (mx_[0] - ray_origin[0]) * divx;\n  float ty0 = (mn_[1] - ray_origin[1]) * divy;\n  float ty1 = (mx_[1] - ray_origin[1]) * divy;\n  float tz0 = (mn_[2] - ray_origin[2]) * divz;\n  float tz1 = (mx_[2] - ray_origin[2]) * divz;\n\n  if (ray_dir[0] < 0) {\n    std::swap(tx0, tx1);\n  }\n  if (ray_dir[1] < 0) {\n    std::swap(ty0, ty1);\n  }\n  if (ray_dir[2] < 0) {\n    std::swap(tz0, tz1);\n  }\n\n  float t_lower = std::max(std::max(tx0, ty0), tz0);\n  float t_upper = std::min(std::min(tx1, ty1), tz1);\n  if (t_lower <= t_upper) {\n    // Normal doesn't make sense in the interior of the AABB.\n    if (record.time > t_lower) {\n      record.time = t_lower;\n      return true;\n    }\n  }\n  return false;\n}\n\nAABB AABB::FromCuboid(const glm::vec3& center, const glm::vec3& halflengths) {\n  return AABB(center - halflengths, center + halflengths);\n}\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/st/hittables/Cylinder.cpp",
    "content": "#include \"vkoo/st/hittables/Cylinder.h\"\n\nnamespace vkoo {\nnamespace st {\nCylinder::Cylinder(float radius, float height)\n    : radius_{radius}, height_{height} {}\n\nbool Cylinder::Intersect(const Ray& ray, HitRecord& record) const {\n  auto d = ray.GetDirection();\n  auto o = ray.GetOrigin();\n\n  float a = d.x * d.x + d.z * d.z;\n  float b = 2 * (o.x * d.x + o.z * d.z);\n  float c = o.x * o.x + o.z * o.z - radius_ * radius_;\n\n  float D = b * b - 4 * a * c;\n\n  if (D < 0) {\n    return false;\n  }\n  D = sqrt(D);\n  float t_plus = (-b + D) / (2 * a);\n  float t_minus = (-b - D) / (2 * a);\n\n  float t;\n  if (t_minus < 0) {\n    if (t_plus < 0) {\n      return false;\n    } else {\n      if (IsYOnCylinder(ray.At(t_plus).y)) {\n        t = t_plus;\n      } else {\n        return false;\n      }\n    }\n  } else {\n    if (IsYOnCylinder(ray.At(t_minus).y)) {\n      t = t_minus;\n    } else if (IsYOnCylinder(ray.At(t_plus).y)) {\n      t = t_plus;\n    } else {\n      return false;\n    }\n  }\n\n  if (t < record.time) {\n    record.time = t;\n    auto intersection = ray.At(t);\n    record.normal =\n        glm::normalize(glm::vec3{intersection.x, 0.0f, intersection.z});\n    return true;\n  }\n  return false;\n}\n\nbool Cylinder::IsYOnCylinder(float y) const { return 0 <= y && y <= height_; }\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/st/hittables/Plane.cpp",
    "content": "#include \"vkoo/st/hittables/Plane.h\"\n\nnamespace vkoo {\nnamespace st {\nPlane::Plane(const glm::vec3& normal, float d) : normal_{normal}, d_{d} {}\n\nbool Plane::Intersect(const Ray& ray, HitRecord& record) const {\n  float t = (d_ - glm::dot(ray.GetOrigin(), normal_)) /\n            glm::dot(ray.GetDirection(), normal_);\n  if (t < record.time) {\n    record.time = t;\n    record.normal = normal_;\n    return true;\n  }\n  return false;\n}\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/st/hittables/Sphere.cpp",
    "content": "#include \"vkoo/st/hittables/Sphere.h\"\n\nnamespace vkoo {\nnamespace st {\nbool Sphere::Intersect(const Ray& ray, HitRecord& record) const {\n  float a = glm::length2(ray.GetDirection());\n  float b = 2 * glm::dot(ray.GetDirection(), ray.GetOrigin());\n  float c = glm::length2(ray.GetOrigin()) - radius_ * radius_;\n\n  float d = b * b - 4 * a * c;\n\n  if (d < 0) {\n    return false;\n  }\n  d = sqrt(d);\n\n  float t_plus = (-b + d) / (2 * a);\n  float t_minus = (-b - d) / (2 * a);\n\n  float t;\n  if (t_minus < 0) {\n    if (t_plus < 0)\n      return false;\n    else {\n      t = t_plus;\n    }\n  } else {\n    t = t_minus;\n  }\n\n  if (t < record.time) {\n    record.time = t;\n    record.normal = glm::normalize(ray.At(t));\n    return true;\n  }\n\n  return false;\n}\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/st/hittables/Triangle.cpp",
    "content": "#include \"vkoo/st/hittables/Triangle.h\"\n\n#include \"vkoo/st/hittables/Plane.h\"\n\nnamespace vkoo {\nnamespace st {\nTriangle::Triangle(const glm::vec3& p0, const glm::vec3& p1,\n                   const glm::vec3& p2, const glm::vec3& n0,\n                   const glm::vec3& n1, const glm::vec3& n2) {\n  positions_.push_back(p0);\n  positions_.push_back(p1);\n  positions_.push_back(p2);\n\n  normals_.push_back(n0);\n  normals_.push_back(n1);\n  normals_.push_back(n2);\n}\n\nTriangle::Triangle(const std::vector<glm::vec3>& positions,\n                   const std::vector<glm::vec3>& normals) {\n  if (positions.size() != 3 || normals.size() != 3)\n    throw std::runtime_error(\"Wrong vector size in Triangle constructor!\");\n  positions_ = positions;\n  normals_ = normals;\n}\n\nbool Triangle::Intersect(const Ray& ray, HitRecord& record) const {\n  glm::vec3 O = positions_[0];\n  glm::vec3 v1 = positions_[1] - O;\n  glm::vec3 v2 = positions_[2] - O;\n  glm::vec3 n = glm::normalize(glm::cross(v1, v2));\n\n  Plane plane(n, glm::dot(O, n));\n  HitRecord new_record{record};\n  if (!plane.Intersect(ray, new_record)) return false;\n\n  glm::vec3 p = ray.At(new_record.time) - O;\n\n  glm::mat3 A(n, v1, v2);\n  glm::vec3 x = glm::inverse(A) * p;\n  x[0] = 1 - x[1] - x[2];  // barycentric coordinates\n  if (x[0] < 0 || x[0] > 1 || x[1] < 0 || x[1] > 1 || x[2] < 0 || x[2] > 1) {\n    return false;\n  }\n  // Only update record after passing all intersection tests.\n  record = new_record;\n  // Interpolating normals.\n  record.normal = glm::normalize(x[0] * normals_[0] + x[1] * normals_[1] +\n                                 x[2] * normals_[2]);\n  return true;\n}\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/st/scripts/ArcBallCameraScript.cpp",
    "content": "#include \"vkoo/st/scripts/ArcBallCameraScript.h\"\n\n#include <glm/gtx/rotate_vector.hpp>\n\n#include \"vkoo/logging.h\"\n\nnamespace vkoo {\nnamespace {\nconst float kRotateSensitivity = 1e-3f;\nconst float kZoomSensitivity = 1e-3f;\nconst float kTranslateSensitivity = 5e-3f;\n}  // namespace\n\nnamespace st {\nArcBallCameraScript::ArcBallCameraScript(Camera& camera,\n                                         const glm::vec3& position,\n                                         const glm::vec3& anchor,\n                                         const glm::vec3& up_direction,\n                                         bool reversed)\n    : Script(*camera.GetNode()),\n      camera_(camera),\n      position_{position},\n      anchor_{anchor},\n      up_direction_{up_direction},\n      reversed_{reversed} {\n  const MouseButton buttons[] = {MouseButton::Left, MouseButton::Right,\n                                 MouseButton::Middle};\n  for (auto button : buttons) {\n    is_mouse_pressed_[button] = false;\n  }\n}\n\nvoid ArcBallCameraScript::OnWindowResize(uint32_t width, uint32_t height) {\n  float aspect_ratio = static_cast<float>(width) / static_cast<float>(height);\n  camera_.SetAspectRatio(aspect_ratio);\n}\n\nbool ArcBallCameraScript::HandleInputEvent(const InputEvent& event) {\n  bool handled = false;\n  if (event.GetSource() == EventSource::Mouse) {\n    auto& mouse_event = static_cast<const MouseButtonInputEvent&>(event);\n    auto action = mouse_event.GetAction();\n    auto button = mouse_event.GetButton();\n    if (action == MouseAction::Move) {\n      glm::vec2 new_mouse_position{static_cast<float>(mouse_event.GetXPos()),\n                                   static_cast<float>(mouse_event.GetYPos())};\n      if (is_mouse_pressed_[MouseButton::Left]) {\n        PerformRotation(new_mouse_position);\n        handled = true;\n      } else if (is_mouse_pressed_[MouseButton::Right]) {\n        PerformZoom(new_mouse_position);\n        handled = true;\n      } else if (is_mouse_pressed_[MouseButton::Middle]) {\n        PerformTranslation(new_mouse_position);\n        handled = true;\n      }\n    } else if (action == MouseAction::Down) {\n      is_mouse_pressed_[button] = true;\n      handled = true;\n    } else if (action == MouseAction::Up) {\n      is_mouse_pressed_[button] = false;\n      handled = true;\n    }\n    last_position_.x = static_cast<float>(mouse_event.GetXPos());\n    last_position_.y = static_cast<float>(mouse_event.GetYPos());\n  }\n  return handled;\n}\n\nvoid ArcBallCameraScript::PerformRotation(const glm::vec2 new_mouse_position) {\n  glm::vec2 diff = new_mouse_position - last_position_;\n  diff *= kRotateSensitivity;\n  if (reversed_) {\n    diff *= -1;\n  }\n\n  glm::vec3 new_position = position_;\n  glm::vec3 right_direction = GetRightDirection();\n\n  new_position =\n      glm::rotate(new_position - anchor_, diff.x, up_direction_) + anchor_;\n  new_position =\n      glm::rotate(new_position - anchor_, diff.y, right_direction) + anchor_;\n\n  position_ = new_position;\n  glm::vec3 new_up_direction =\n      glm::rotate(up_direction_, diff.y, right_direction);\n  up_direction_ = new_up_direction;\n\n  UpdateViewMatrix();\n}\n\nvoid ArcBallCameraScript::PerformZoom(const glm::vec2 new_mouse_position) {\n  float diff_y = new_mouse_position.y - last_position_.y;\n  position_ =\n      anchor_ + std::exp(diff_y * kZoomSensitivity) * (position_ - anchor_);\n  UpdateViewMatrix();\n}\n\nvoid ArcBallCameraScript::PerformTranslation(glm::vec2 new_mouse_position) {\n  glm::vec2 diff = new_mouse_position - last_position_;\n  diff *= kTranslateSensitivity;\n  if (reversed_) {\n    diff *= -1;\n  }\n\n  glm::vec3 delta = diff.x * GetRightDirection() - diff.y * up_direction_;\n  position_ += delta;\n  anchor_ += delta;\n\n  UpdateViewMatrix();\n}\n\nvoid ArcBallCameraScript::UpdateViewMatrix() {\n  glm::mat4 new_view_mat = glm::lookAt(position_, anchor_, up_direction_);\n  camera_.SetPrescribedViewMatrix(new_view_mat);\n}\n\nglm::vec3 ArcBallCameraScript::GetRightDirection() {\n  return glm::normalize(glm::cross(anchor_ - position_, up_direction_));\n}\n\n}  // namespace st\n}  // namespace vkoo\n"
  },
  {
    "path": "vkoo/src/utils.cpp",
    "content": "#include \"vkoo/utils.h\"\n\n#include <vkoo/core/Device.h>\n\nnamespace vkoo {\nstd::string GetShaderPath() { return SHADER_PATH; }\nstd::string GetAssetPath() { return ASSET_PATH; }\n\nstd::vector<uint8_t> ReadBinaryFile(const std::string& filename) {\n  std::ifstream file(filename, std::ios::ate | std::ios::binary);\n\n  if (!file.is_open()) {\n    throw std::runtime_error(\"Failed to open file \" + filename + \"!\");\n  }\n\n  size_t fileSize = (size_t)file.tellg();\n  std::vector<uint8_t> buffer(fileSize);\n\n  file.seekg(0);\n  file.read(reinterpret_cast<char*>(buffer.data()), fileSize);\n\n  file.close();\n\n  return buffer;\n}\n\nuint32_t FindMemoryType(const Device& device, uint32_t type_filter,\n                        VkMemoryPropertyFlags properties) {\n  VkPhysicalDeviceMemoryProperties mem_properties;\n  vkGetPhysicalDeviceMemoryProperties(device.GetGPU().GetHandle(),\n                                      &mem_properties);\n\n  for (uint32_t i = 0; i < mem_properties.memoryTypeCount; i++) {\n    if ((type_filter & (1 << i)) &&\n        (mem_properties.memoryTypes[i].propertyFlags & properties) ==\n            properties) {\n      return i;\n    }\n  }\n\n  throw std::runtime_error(\"Failed to find a suitable memory type!\");\n}\n\nstd::unique_ptr<std::vector<glm::vec3>> EstimateNormals(\n    const std::vector<glm::vec3>& positions,\n    const std::vector<uint32_t>& indices, bool inverse_normal) {\n  auto normals = std::make_unique<std::vector<glm::vec3>>(positions.size(),\n                                                          glm::vec3(0.0f));\n\n  for (size_t i = 0; i < indices.size(); i += 3) {\n    int v1 = indices[i];\n    int v2 = indices[i + 1];\n    int v3 = indices[i + 2];\n    auto& p1 = positions[v1];\n    auto& p2 = positions[v2];\n    auto& p3 = positions[v3];\n    auto n = glm::cross(p2 - p1, p3 - p1);\n    // No need to normalize here, since the norm of n is\n    // proportional to the area.\n    (*normals)[v1] += n;\n    (*normals)[v2] += n;\n    (*normals)[v3] += n;\n  }\n\n  for (size_t i = 0; i < normals->size(); i++) {\n    (*normals)[i] = glm::normalize((*normals)[i]);\n    if (inverse_normal) {\n      (*normals)[i] = -(*normals)[i];\n    }\n  }\n\n  return normals;\n}\n\nstd::vector<std::string> Split(const std::string& s, char delim) {\n  std::stringstream ss(s);\n  std::string item;\n  std::vector<std::string> result;\n  while (std::getline(ss, item, delim)) {\n    result.emplace_back(std::move(item));\n  }\n  return result;\n}\n\n}  // namespace vkoo\n"
  }
]