Repository: chiefenne/PyAero Branch: master Commit: 0e786c674413 Files: 89 Total size: 4.1 MB Directory structure: gitextract_p5f8x5gl/ ├── .gitignore ├── .readthedocs.yaml ├── LICENSE ├── README.md ├── data/ │ ├── Batch/ │ │ └── batch_control.json │ ├── Config/ │ │ └── settings.ini │ ├── Examples/ │ │ └── OpenFOAM9/ │ │ └── airfoil_S809/ │ │ ├── 0/ │ │ │ ├── U │ │ │ ├── epsilon │ │ │ ├── k │ │ │ ├── nuTilda │ │ │ ├── nut │ │ │ ├── omega │ │ │ ├── p │ │ │ └── uniform/ │ │ │ └── time │ │ ├── Allclean │ │ ├── Allrun │ │ ├── S809.obj │ │ ├── airfoil.OpenFOAM │ │ ├── constant/ │ │ │ ├── transportProperties │ │ │ └── turbulenceProperties │ │ └── system/ │ │ ├── controlDict │ │ ├── createPatchDict │ │ ├── extrudeMeshDict │ │ ├── fvSchemes │ │ ├── fvSolution │ │ └── topoSetDict │ └── Menus/ │ ├── PMenu.xml │ └── PToolBar.xml ├── docs/ │ ├── CFD_boundary_conditions.rst │ ├── GUI.inc │ ├── GUI_modification.rst │ ├── Makefile │ ├── _templates/ │ │ ├── breadcrumbs.html │ │ └── footer.html │ ├── aerodynamics_panel.rst │ ├── batchmode.rst │ ├── conf.py │ ├── conf.py_SAVE │ ├── contour_analysis.rst │ ├── dependencies.rst │ ├── images/ │ │ └── mesh_block1a.tif │ ├── index.rst │ ├── introduction.rst │ ├── license.rst │ ├── load.rst │ ├── make.bat │ ├── meshing.rst │ ├── quickstart.rst │ ├── settings.rst │ ├── spline_refine.rst │ ├── trailing_edge.rst │ ├── ui_GUI.rst │ ├── ui_menu_file.inc │ ├── ui_menu_file_exit.inc │ ├── ui_menu_file_open.inc │ ├── ui_menu_file_print.inc │ ├── ui_menu_file_print_preview.inc │ ├── ui_menu_file_save.inc │ ├── ui_menu_help.inc │ ├── ui_menu_tools.inc │ └── ui_menu_view.inc └── src/ ├── Airfoil.py ├── BatchMode.py ├── Colors.py ├── Connect.py ├── ContourAnalysis.py ├── Elliptic.py ├── FileDialog.py ├── FileSystem.py ├── GraphicsItem.py ├── GraphicsItemsCollection.py ├── GraphicsScene.py ├── GraphicsTest.py ├── GraphicsView.py ├── GuiSlots.py ├── HtmlView.py ├── IconProvider.py ├── Logger.py ├── MenusTools.py ├── Meshing.py ├── PyAero.py ├── Settings.py ├── ShortCuts.py ├── Smooth_angle_based.py ├── SplineRefine.py ├── SvpMethod.py ├── ToolBox.py ├── TrailingEdge.py └── Utils.py ================================================ FILE CONTENTS ================================================ ================================================ FILE: .gitignore ================================================ # .DS_Store backup2Diskstation.sh debug/ data/OUTPUT/ data/LOGS/ docs/*.pptx *.txt lib_AE/ PyInstaller/ setup.py .vscode/ src/__pycache__/ SU2/ todo.txt environment.yml launch.json requirements.txt ================================================ FILE: .readthedocs.yaml ================================================ # .readthedocs.yaml # Read the Docs configuration file # See https://docs.readthedocs.io/en/stable/config-file/v2.html for details # Required version: 2 # Set the version of Python and other tools you might need build: os: ubuntu-22.04 tools: python: "3.11" # Build documentation in the docs/ directory with Sphinx sphinx: configuration: docs/conf.py # Optionally build your docs in additional formats such as PDF and ePub formats: - pdf # - epub # We recommend specifying your dependencies to enable reproducible builds: # https://docs.readthedocs.io/en/stable/guides/reproducible-builds.html python: install: - requirements: docs/requirements.txt ================================================ FILE: LICENSE ================================================ The MIT License (MIT) Copyright (c) 2024 Andreas Ennemoser Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. ================================================ FILE: README.md ================================================ # PyAero ![](docs/images/SD7003_velocity_AOA6.png) PyAero generated mesh (Solver: [SU2](https://su2code.github.io), Visualization: [ParaView](https://www.paraview.org/))
[![readthedocs](https://img.shields.io/badge/docs-latest-brightgreen.svg?style=flat)](https://pyaero.readthedocs.io/en/latest/?badge=latest) [![GitHub](https://img.shields.io/github/license/mashape/apistatus.svg)](https://en.wikipedia.org/wiki/MIT_License) PyAero is an open-source airfoil contour analysis and CFD meshing tool written in Python. The graphical user interface is based on [Qt for Python](https://www.qt.io/qt-for-python) (Pyside6). ## Features - Load and display airfoil contour files - Airfoil splining and refining - Get a smooth contour and sufficient contour points - Refine leading edge and trailing edge - Prepare contour for meshing - Automatic calculation of leading edge radius - Point distribution on spline used as mesh distribution around airfoil - Automatic generation of block-strcuctured mesh - Single element C-type mesh - **Strictly orthogonal** mesh in the vicinity of the airfoil - Mesh resolution control for airfoil, leading edge, trailing edge and windtunnel - Sharp or blunt trailing edges - Mesh smoothing (to be improved) - Mesh export - [AVL FIRE](https://www.avl.com/fire) (.flma) - Some other file formats are exported as well (only listed formats) - [SU2](https://su2code.github.io) (.su2) - Including boundary markers - [GMSH](http://gmsh.info) (.msh) - [VTK](https://vtk.org) (.vtk) - Automatic definition of boundary elements (edges, faces) - Airfoil, inlet, outlet, symmetry - Run in batch mode (i.e. run PyAero from the command line) - Mesh multiple airfoils and export the meshes in multiple formats in one run without user interaction - Using the ``-no-gui`` option and a [control file](data/Batch/batch_control.json) in json format - Example command: ``python src/PyAero.py -no-gui data/Batch/batch_control.json`` - Simple aerodynamic analysis using [AeroPython](http://nbviewer.ipython.org/github/barbagroup/AeroPython/blob/master/lessons/11_Lesson11_vortexSourcePanelMethod.ipynb) - Airfoil contour analysis (gradient, curvature and curvature circle) - NOT YET IMPLEMENTED: - Decent smoothing algorithm for the mesh regions outside the orthogonal blocks - Advanced aerodynamic analysis (i.e. linking to open source CFD software, e.g. SU2) ## Header image - Airfoil SD7003 - Meshing with PyAero - Calculation with the CFD code [SU2](https://su2code.github.io) - Post-processing done in [ParaView](https://www.paraview.org/) ## Sample screenshots ![](docs/images/gui_airfoil1_new.png) **PyAero GUI at a glance**

![](docs/images/mesh_RAE2822_MAC.png) **Example mesh around RAE2822 airfoil**

![](docs/images/LE_mesh_RAE2822_MAC.png) **Example mesh around RAE2822 airfoil - Leading Edge**

![](docs/images/TE_mesh_RAE2822_MAC.png) **Example mesh around RAE2822 airfoil with a blunt Trailing Edge (with finite thickness)**

![](docs/images/TE_mesh_sharp_MAC.png) **Example mesh with a sharp Trailing Edge**

![](docs/images/MAKAROV_KPS_mesh_MAC.png) **Example mesh around MAKAROV KPS airfoil as used in the CFD code AVL-FIRE**

![](docs/images/MAKAROV_KPS_Veloyity.gif) **Velocity field (RE=50000) around MAKAROV KPS airfoil using the CFD code AVL-FIRE**

![](docs/images/MAKAROV_KPS_TKE.gif) **Turbulence kinetic energy field (RE=50000) around MAKAROV KPS airfoil using the CFD code AVL-FIRE**

![](docs/movies/RG14_3D_laminar_Iso-Q_pressure.gif) **Unsteady 3D calculation of the RG14 airfoil using the CFD code AVL-FIRE**
**RE=330000, AOA=2°, 20 million cells.**
**Laminar calculation: CD=0.0079, CL=0.371**
**LES calculation (subgrid scale model: Kobayashi CSM): CD=0.0078, CL=0.362**

![](docs/images/SD7003_CP_RE200000_AOA3.png) **Steady 2D calculation of the SD7003 airfoil using the CFD code SU2 (RE=200000, AOA=3), post-processing with ParaView**

## Documentation The PyAero documentation can be found at the following link: **[http://pyaero.readthedocs.io](http://pyaero.readthedocs.io)** The documentation is automatically generated using the markdown files in the [docs](https://github.com/chiefenne/PyAero/tree/master/docs) folder via [Sphinx](http://www.sphinx-doc.org/en/stable/index.html). ## Dependencies - [Python 3.x](https://www.python.org/) - [Qt for Python (PySide6)](https://www.qt.io/qt-for-python) - [Numpy](http://www.numpy.org/) - [Scipy](https://www.scipy.org/) - [meshio](https://github.com/nschloe/meshio) At the moment no binary is available for Windows. ## Download The $ symbol at the beginning the following command examples represents the prompt at command shell. It is not part of the command. ### Option 1: Download source version using Git: ```bash $ cd anywhere_on_your_computer $ git clone https://github.com/chiefenne/PyAero.git ``` or if you want a specific branch (e.g. develop): ```bash $ git clone https://github.com/chiefenne/PyAero.git -b develop ``` ### Option 2: Download source version as a ZIP file: From the [PyAero GitHub repository](https://github.com/chiefenne/PyAero). There is on the upper right side a green pull down menu ***Clone or download***. Click on it and then click ***Download ZIP***. You get a file ***PyAero-master.zip*** which you store anywhere on your computer. ```bash $ cd anywhere_on_your_computer $ unzip PyAero-master.zip ``` ## Installation After cloning from Git, or downloading and unzipping, set the environment variable for the PyAero installation path. ### Linux If your shell is **bash**: ```bash $ export PYAEROPATH=path_to_your_installation ``` And if you want to set it permanently across sessions (one of the following): ```bash $ echo 'export PYAEROPATH=path_to_your_installation' >> ~/.bashrc $ echo 'export PYAEROPATH=path_to_your_installation' >> ~/.bash_profile ``` For **csh** or **tcsh** use: ```bash $ setenv PYAEROPATH path_to_your_installation ``` And if you want to set it permanently across sessions: ```bash $ echo 'setenv PYAEROPATH path_to_your_installation' >> ~/.cshrc ``` Run PyAero using: ```bash $ python $PYAEROPATH/src/PyAero.py ``` To simplify the command, set an *alias* (the upper beeing for bash and the lower for csh/tcsh). ```bash $ alias pyaero="python $PYAEROPATH/src/PyAero.py" $ alias pyaero "python $PYAEROPATH/src/PyAero.py" ``` To keep this across sessions, again append the *alias* command to the respective *.bashrc*, *.cshrc*, etc. Then start PyAero using: ```bash $ pyaero ``` ## Qt for Python version PyAero version based on the [Qt for Python](https://www.qt.io/qt-for-python) API (alias PySide2 for QT5 or PySide6 for QT6). PyAero started based on the PyQt4 framework which for me was the API to go at the time when I started development. After a small creative break I decided to upgrade to PyQt5 and continue development. I soon realized that the PyQt5 documentation lacks information, i.e. there were only links to the Qt C++ documentation and no Python related docs, I had the feeling that the PyQt5 development probably stagnates. Short online research revealed to me that meanwhile Qt themselves are developing now **Qt for Python** which is based on the legacy Pyside API. This made me think that it is possibly best to go with Qt for Python as it is tightly coupled to Qt. ## License Distributed under the MIT license. See [LICENSE](https://raw.githubusercontent.com/chiefenne/PyAero/master/LICENSE) for more information. 2024 Andreas Ennemoser – andreas.ennemoser@aon.at ## Stargazers over time [![Stargazers over time](https://starchart.cc/chiefenne/PyAero.svg?variant=adaptive)](https://starchart.cc/chiefenne/PyAero) ================================================ FILE: data/Batch/batch_control.json ================================================ { "Airfoils": { "path": "data/Airfoils/RC_Glider", "names": [ "clarky.dat", "rg15.dat" ], "trailing_edges": [ "yes", "no" ] }, "Output formats": { "path": "data/OUTPUT", "formats": [ "SU2", "VTK" ] }, "Airfoil contour refinement": { "Refinement tolerance": 172.0, "Refine trailing edge old": 3, "Refine trailing edge new": 6, "Refine trailing edge ratio" : 3, "Number of points on spline" : 200 }, "Airfoil trailing edge": { "Upper side blending length": 30.0, "Lower side blending length": 30.0, "Upper blending polynomial exponent": 3, "Lower blending polynomial exponent" : 3, "Trailing edge thickness relative to chord" : 0.4 }, "Airfoil contour mesh": { "Divisions normal to airfoil": 15, "1st cell layer thickness": 0.004, "Cell growth rate": 1.05 }, "Airfoil trailing edge mesh": { "Divisions at trailing edge": 3, "Divisions downstream": 15, "1st cell layer thickness": 0.004, "Cell growth rate" : 1.05 }, "Windtunnel mesh airfoil": { "Windtunnel height": 3.5, "Divisions of tunnel height": 100, "Cell thickness ratio": 10.0, "Distribution biasing" : "symmetric", "Smoothing algorithm" : "elliptic", "Smoothing iterations" : 20, "Smoothing tolerance" : 1.2e-5 }, "Windtunnel mesh wake": { "Windtunnel wake": 7.0, "Divisions in the wake": 100, "Cell thickness ratio": 15.0, "Equalize vertical wake line at" : 30.0 } } ================================================ FILE: data/Config/settings.ini ================================================ # **************** # PyAero Settings # **************** [Paths] # Base path for PyAero (default is the current working directory) PYAEROPATH = ./ # Path to data directory DATAPATH = data # Path to airfoil data AIRFOILDATA = data/Airfoils # Path for output data such as modified contours and mesh OUTPUTDATA = data/OUTPUT # Path to menu data MENUDATA = data/Menus # Path to log files LOGDATA = data/LOGS # Path to icons ICONS = data/Icons ICONS_S = data/Icons/16x16 ICONS_L = data/Icons/24x24 [Locale] # Locale settings # Use 'C' for decimal dot separator; leave empty for system default LOCALE = C [Application] # Allow application exit with Escape key EXITONESCAPE = True # Default airfoil chord length CHORDLENGTH = 1.0 # Default airfoil file for fast loading DEFAULT_CONTOUR = data/Airfoils/F1K/hn1033a.dat [Graphics] # Marker size for airfoil coordinate points MARKERSIZE = 3 # Zooming anchor ('mouse' or 'center') ZOOMANCHOR = mouse # Graphics view background style ('solid' or 'gradient') VIEWSTYLE = solid # Zoom limits MINZOOM = 10.0 MAXZOOM = 120000.0 # Minimum rubberband size (valid values between 0.05 and 1.0) RUBBERBANDSIZE = 0.08 # Scale increment (must be >= 1.1) SCALEINC = 1.1 # Zoom direction (negative to invert) ZOOMDIRECTION = -1 [Dialogs] # File dialog filters for airfoil contour files DIALOGFILTER = Airfoil contour files (*.dat *.txt) # File dialog filters for mesh files DIALOGFILTER_MESH = Mesh files FIRE(*.flma);;Mesh files SU2 (*.su2);;Mesh files GMSH (*.msh) # Filters for airfoil browser FILEFILTER = *.dat, *.txt, *.su2 [Logging] # Color for emphasized log messages LOGCOLOR = #1763E7 ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/0/U ================================================ /*--------------------------------*- C++ -*----------------------------------*\ ========= | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox \\ / O peration | Website: https://openfoam.org \\ / A nd | Version: 9 \\/ M anipulation | \*---------------------------------------------------------------------------*/ FoamFile { format ascii; class volVectorField; location "0"; object U; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // dimensions [0 1 -1 0 0 0 0]; internalField uniform (29.6 0 0); boundaryField { inletOutlet { type freestreamVelocity; freestreamValue uniform (29.6 0 0); value uniform (29.6 0 0); } airfoil { type noSlip; } frontAndBack { type empty; } } // ************************************************************************* // ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/0/epsilon ================================================ /*--------------------------------*- C++ -*----------------------------------*\ ========= | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox \\ / O peration | Website: https://openfoam.org \\ / A nd | Version: 9 \\/ M anipulation | \*---------------------------------------------------------------------------*/ FoamFile { format ascii; class volScalarField; location "0"; object epsilon; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // dimensions [0 2 -3 0 0 0 0]; internalField uniform 1; boundaryField { inletOutlet { type freestream; freestreamValue uniform 1; value uniform 1; } airfoil { type epsilonWallFunction; value uniform 1; } frontAndBack { type empty; } } // ************************************************************************* // ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/0/k ================================================ /*--------------------------------*- C++ -*----------------------------------*\ ========= | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox \\ / O peration | Website: https://openfoam.org \\ / A nd | Version: 9 \\/ M anipulation | \*---------------------------------------------------------------------------*/ FoamFile { format ascii; class volScalarField; location "0"; object k; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // dimensions [0 2 -2 0 0 0 0]; internalField uniform 0.8946; boundaryField { inletOutlet { type freestream; freestreamValue uniform 0.8946; value uniform 0.8946; } airfoil { type kqRWallFunction; value uniform 0; } frontAndBack { type empty; } } // ************************************************************************* // ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/0/nuTilda ================================================ /*--------------------------------*- C++ -*----------------------------------*\ ========= | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox \\ / O peration | Website: https://openfoam.org \\ / A nd | Version: 9 \\/ M anipulation | \*---------------------------------------------------------------------------*/ FoamFile { format ascii; class volScalarField; location "0"; object nuTilda; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // dimensions [0 2 -1 0 0 0 0]; internalField uniform 0.14; boundaryField { inletOutlet { type freestream; freestreamValue uniform 0.14; value uniform 0.14; } airfoil { type fixedValue; value uniform 0; } frontAndBack { type empty; } } // ************************************************************************* // ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/0/nut ================================================ /*--------------------------------*- C++ -*----------------------------------*\ ========= | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox \\ / O peration | Website: https://openfoam.org \\ / A nd | Version: 9 \\/ M anipulation | \*---------------------------------------------------------------------------*/ FoamFile { format ascii; class volScalarField; location "0"; object nut; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // dimensions [0 2 -1 0 0 0 0]; internalField uniform 0.14; boundaryField { inletOutlet { type freestream; freestreamValue uniform 0.14; value uniform 0.14; } airfoil { type nutUSpaldingWallFunction; value uniform 0; } frontAndBack { type empty; } } // ************************************************************************* // ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/0/omega ================================================ /*--------------------------------*- C++ -*----------------------------------*\ ========= | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox \\ / O peration | Website: https://openfoam.org \\ / A nd | Version: 9 \\/ M anipulation | \*---------------------------------------------------------------------------*/ FoamFile { format ascii; class volScalarField; location "0"; object omega; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // dimensions [0 0 -1 0 0 0 0]; internalField uniform 24.67; boundaryField { inletOutlet { type freestream; freestreamValue uniform 24.67; value uniform 24.67; } airfoil { type omegaWallFunction; value uniform 24.67; } frontAndBack { type empty; } } // ************************************************************************* // ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/0/p ================================================ /*--------------------------------*- C++ -*----------------------------------*\ ========= | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox \\ / O peration | Website: https://openfoam.org \\ / A nd | Version: 9 \\/ M anipulation | \*---------------------------------------------------------------------------*/ FoamFile { format ascii; class volScalarField; location "0"; object p; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // dimensions [0 2 -2 0 0 0 0]; internalField uniform 0; boundaryField { inletOutlet { type freestreamPressure; freestreamValue uniform 0; supersonic 0; value uniform 0; } airfoil { type zeroGradient; } frontAndBack { type empty; } } // ************************************************************************* // ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/0/uniform/time ================================================ /*--------------------------------*- C++ -*----------------------------------*\ ========= | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox \\ / O peration | Website: https://openfoam.org \\ / A nd | Version: 9 \\/ M anipulation | \*---------------------------------------------------------------------------*/ FoamFile { format ascii; class dictionary; location "0/uniform"; object time; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // beginTime 0; value 0; name "0"; index 0; deltaT 1; deltaT0 1; // ************************************************************************* // ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/Allclean ================================================ #!/bin/sh cd ${0%/*} || exit 1 # Run from this directory # Source tutorial run functions . $WM_PROJECT_DIR/bin/tools/RunFunctions foamListTimes -rm rm -rf constant/polyMesh rm -f log* rm -rf postProcessing #------------------------------------------------------------------------------ ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/Allrun ================================================ #!/bin/sh cd ${0%/*} || exit 1 # Run from this directory # Source tutorial run functions . $WM_PROJECT_DIR/bin/tools/RunFunctions application=`getApplication` extrudeMesh topoSet createPatch -overwrite #potentialFoam renumberMesh -overwrite runApplication $application simpleFoam -postProcess -func yPlus #------------------------------------------------------------------------------ ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/S809.obj 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3633 f 3857 4082 4083 3858 f 4082 4307 4308 4083 f 4307 4532 4533 4308 f 33 258 259 34 f 258 483 484 259 f 483 708 709 484 f 708 933 934 709 f 933 1158 1159 934 f 1158 1383 1384 1159 f 1383 1608 1609 1384 f 1608 1833 1834 1609 f 1833 2058 2059 1834 f 2058 2283 2284 2059 f 2283 2508 2509 2284 f 2508 2733 2734 2509 f 2733 2958 2959 2734 f 2958 3183 3184 2959 f 3183 3408 3409 3184 f 3408 3633 3634 3409 f 3633 3858 3859 3634 f 3858 4083 4084 3859 f 4083 4308 4309 4084 f 4308 4533 4534 4309 f 34 259 260 35 f 259 484 485 260 f 484 709 710 485 f 709 934 935 710 f 934 1159 1160 935 f 1159 1384 1385 1160 f 1384 1609 1610 1385 f 1609 1834 1835 1610 f 1834 2059 2060 1835 f 2059 2284 2285 2060 f 2284 2509 2510 2285 f 2509 2734 2735 2510 f 2734 2959 2960 2735 f 2959 3184 3185 2960 f 3184 3409 3410 3185 f 3409 3634 3635 3410 f 3634 3859 3860 3635 f 3859 4084 4085 3860 f 4084 4309 4310 4085 f 4309 4534 4535 4310 f 35 260 261 36 f 260 485 486 261 f 485 710 711 486 f 710 935 936 711 f 935 1160 1161 936 f 1160 1385 1386 1161 f 1385 1610 1611 1386 f 1610 1835 1836 1611 f 1835 2060 2061 1836 f 2060 2285 2286 2061 f 2285 2510 2511 2286 f 2510 2735 2736 2511 f 2735 2960 2961 2736 f 2960 3185 3186 2961 f 3185 3410 3411 3186 f 3410 3635 3636 3411 f 3635 3860 3861 3636 f 3860 4085 4086 3861 f 4085 4310 4311 4086 f 4310 4535 4536 4311 f 36 261 262 37 f 261 486 487 262 f 486 711 712 487 f 711 936 937 712 f 936 1161 1162 937 f 1161 1386 1387 1162 f 1386 1611 1612 1387 f 1611 1836 1837 1612 f 1836 2061 2062 1837 f 2061 2286 2287 2062 f 2286 2511 2512 2287 f 2511 2736 2737 2512 f 2736 2961 2962 2737 f 2961 3186 3187 2962 f 3186 3411 3412 3187 f 3411 3636 3637 3412 f 3636 3861 3862 3637 f 3861 4086 4087 3862 f 4086 4311 4312 4087 f 4311 4536 4537 4312 f 37 262 263 38 f 262 487 488 263 f 487 712 713 488 f 712 937 938 713 f 937 1162 1163 938 f 1162 1387 1388 1163 f 1387 1612 1613 1388 f 1612 1837 1838 1613 f 1837 2062 2063 1838 f 2062 2287 2288 2063 f 2287 2512 2513 2288 f 2512 2737 2738 2513 f 2737 2962 2963 2738 f 2962 3187 3188 2963 f 3187 3412 3413 3188 f 3412 3637 3638 3413 f 3637 3862 3863 3638 f 3862 4087 4088 3863 f 4087 4312 4313 4088 f 4312 4537 4538 4313 f 38 263 264 39 f 263 488 489 264 f 488 713 714 489 f 713 938 939 714 f 938 1163 1164 939 f 1163 1388 1389 1164 f 1388 1613 1614 1389 f 1613 1838 1839 1614 f 1838 2063 2064 1839 f 2063 2288 2289 2064 f 2288 2513 2514 2289 f 2513 2738 2739 2514 f 2738 2963 2964 2739 f 2963 3188 3189 2964 f 3188 3413 3414 3189 f 3413 3638 3639 3414 f 3638 3863 3864 3639 f 3863 4088 4089 3864 f 4088 4313 4314 4089 f 4313 4538 4539 4314 f 39 264 265 40 f 264 489 490 265 f 489 714 715 490 f 714 939 940 715 f 939 1164 1165 940 f 1164 1389 1390 1165 f 1389 1614 1615 1390 f 1614 1839 1840 1615 f 1839 2064 2065 1840 f 2064 2289 2290 2065 f 2289 2514 2515 2290 f 2514 2739 2740 2515 f 2739 2964 2965 2740 f 2964 3189 3190 2965 f 3189 3414 3415 3190 f 3414 3639 3640 3415 f 3639 3864 3865 3640 f 3864 4089 4090 3865 f 4089 4314 4315 4090 f 4314 4539 4540 4315 f 40 265 266 41 f 265 490 491 266 f 490 715 716 491 f 715 940 941 716 f 940 1165 1166 941 f 1165 1390 1391 1166 f 1390 1615 1616 1391 f 1615 1840 1841 1616 f 1840 2065 2066 1841 f 2065 2290 2291 2066 f 2290 2515 2516 2291 f 2515 2740 2741 2516 f 2740 2965 2966 2741 f 2965 3190 3191 2966 f 3190 3415 3416 3191 f 3415 3640 3641 3416 f 3640 3865 3866 3641 f 3865 4090 4091 3866 f 4090 4315 4316 4091 f 4315 4540 4541 4316 f 41 266 267 42 f 266 491 492 267 f 491 716 717 492 f 716 941 942 717 f 941 1166 1167 942 f 1166 1391 1392 1167 f 1391 1616 1617 1392 f 1616 1841 1842 1617 f 1841 2066 2067 1842 f 2066 2291 2292 2067 f 2291 2516 2517 2292 f 2516 2741 2742 2517 f 2741 2966 2967 2742 f 2966 3191 3192 2967 f 3191 3416 3417 3192 f 3416 3641 3642 3417 f 3641 3866 3867 3642 f 3866 4091 4092 3867 f 4091 4316 4317 4092 f 4316 4541 4542 4317 f 42 267 268 43 f 267 492 493 268 f 492 717 718 493 f 717 942 943 718 f 942 1167 1168 943 f 1167 1392 1393 1168 f 1392 1617 1618 1393 f 1617 1842 1843 1618 f 1842 2067 2068 1843 f 2067 2292 2293 2068 f 2292 2517 2518 2293 f 2517 2742 2743 2518 f 2742 2967 2968 2743 f 2967 3192 3193 2968 f 3192 3417 3418 3193 f 3417 3642 3643 3418 f 3642 3867 3868 3643 f 3867 4092 4093 3868 f 4092 4317 4318 4093 f 4317 4542 4543 4318 f 43 268 269 44 f 268 493 494 269 f 493 718 719 494 f 718 943 944 719 f 943 1168 1169 944 f 1168 1393 1394 1169 f 1393 1618 1619 1394 f 1618 1843 1844 1619 f 1843 2068 2069 1844 f 2068 2293 2294 2069 f 2293 2518 2519 2294 f 2518 2743 2744 2519 f 2743 2968 2969 2744 f 2968 3193 3194 2969 f 3193 3418 3419 3194 f 3418 3643 3644 3419 f 3643 3868 3869 3644 f 3868 4093 4094 3869 f 4093 4318 4319 4094 f 4318 4543 4544 4319 f 44 269 270 45 f 269 494 495 270 f 494 719 720 495 f 719 944 945 720 f 944 1169 1170 945 f 1169 1394 1395 1170 f 1394 1619 1620 1395 f 1619 1844 1845 1620 f 1844 2069 2070 1845 f 2069 2294 2295 2070 f 2294 2519 2520 2295 f 2519 2744 2745 2520 f 2744 2969 2970 2745 f 2969 3194 3195 2970 f 3194 3419 3420 3195 f 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f 722 947 948 723 f 947 1172 1173 948 f 1172 1397 1398 1173 f 1397 1622 1623 1398 f 1622 1847 1848 1623 f 1847 2072 2073 1848 f 2072 2297 2298 2073 f 2297 2522 2523 2298 f 2522 2747 2748 2523 f 2747 2972 2973 2748 f 2972 3197 3198 2973 f 3197 3422 3423 3198 f 3422 3647 3648 3423 f 3647 3872 3873 3648 f 3872 4097 4098 3873 f 4097 4322 4323 4098 f 4322 4547 4548 4323 f 48 273 274 49 f 273 498 499 274 f 498 723 724 499 f 723 948 949 724 f 948 1173 1174 949 f 1173 1398 1399 1174 f 1398 1623 1624 1399 f 1623 1848 1849 1624 f 1848 2073 2074 1849 f 2073 2298 2299 2074 f 2298 2523 2524 2299 f 2523 2748 2749 2524 f 2748 2973 2974 2749 f 2973 3198 3199 2974 f 3198 3423 3424 3199 f 3423 3648 3649 3424 f 3648 3873 3874 3649 f 3873 4098 4099 3874 f 4098 4323 4324 4099 f 4323 4548 4549 4324 f 49 274 275 50 f 274 499 500 275 f 499 724 725 500 f 724 949 950 725 f 949 1174 1175 950 f 1174 1399 1400 1175 f 1399 1624 1625 1400 f 1624 1849 1850 1625 f 1849 2074 2075 1850 f 2074 2299 2300 2075 f 2299 2524 2525 2300 f 2524 2749 2750 2525 f 2749 2974 2975 2750 f 2974 3199 3200 2975 f 3199 3424 3425 3200 f 3424 3649 3650 3425 f 3649 3874 3875 3650 f 3874 4099 4100 3875 f 4099 4324 4325 4100 f 4324 4549 4550 4325 f 50 275 276 51 f 275 500 501 276 f 500 725 726 501 f 725 950 951 726 f 950 1175 1176 951 f 1175 1400 1401 1176 f 1400 1625 1626 1401 f 1625 1850 1851 1626 f 1850 2075 2076 1851 f 2075 2300 2301 2076 f 2300 2525 2526 2301 f 2525 2750 2751 2526 f 2750 2975 2976 2751 f 2975 3200 3201 2976 f 3200 3425 3426 3201 f 3425 3650 3651 3426 f 3650 3875 3876 3651 f 3875 4100 4101 3876 f 4100 4325 4326 4101 f 4325 4550 4551 4326 f 51 276 277 52 f 276 501 502 277 f 501 726 727 502 f 726 951 952 727 f 951 1176 1177 952 f 1176 1401 1402 1177 f 1401 1626 1627 1402 f 1626 1851 1852 1627 f 1851 2076 2077 1852 f 2076 2301 2302 2077 f 2301 2526 2527 2302 f 2526 2751 2752 2527 f 2751 2976 2977 2752 f 2976 3201 3202 2977 f 3201 3426 3427 3202 f 3426 3651 3652 3427 f 3651 3876 3877 3652 f 3876 4101 4102 3877 f 4101 4326 4327 4102 f 4326 4551 4552 4327 f 52 277 278 53 f 277 502 503 278 f 502 727 728 503 f 727 952 953 728 f 952 1177 1178 953 f 1177 1402 1403 1178 f 1402 1627 1628 1403 f 1627 1852 1853 1628 f 1852 2077 2078 1853 f 2077 2302 2303 2078 f 2302 2527 2528 2303 f 2527 2752 2753 2528 f 2752 2977 2978 2753 f 2977 3202 3203 2978 f 3202 3427 3428 3203 f 3427 3652 3653 3428 f 3652 3877 3878 3653 f 3877 4102 4103 3878 f 4102 4327 4328 4103 f 4327 4552 4553 4328 f 53 278 279 54 f 278 503 504 279 f 503 728 729 504 f 728 953 954 729 f 953 1178 1179 954 f 1178 1403 1404 1179 f 1403 1628 1629 1404 f 1628 1853 1854 1629 f 1853 2078 2079 1854 f 2078 2303 2304 2079 f 2303 2528 2529 2304 f 2528 2753 2754 2529 f 2753 2978 2979 2754 f 2978 3203 3204 2979 f 3203 3428 3429 3204 f 3428 3653 3654 3429 f 3653 3878 3879 3654 f 3878 4103 4104 3879 f 4103 4328 4329 4104 f 4328 4553 4554 4329 f 54 279 280 55 f 279 504 505 280 f 504 729 730 505 f 729 954 955 730 f 954 1179 1180 955 f 1179 1404 1405 1180 f 1404 1629 1630 1405 f 1629 1854 1855 1630 f 1854 2079 2080 1855 f 2079 2304 2305 2080 f 2304 2529 2530 2305 f 2529 2754 2755 2530 f 2754 2979 2980 2755 f 2979 3204 3205 2980 f 3204 3429 3430 3205 f 3429 3654 3655 3430 f 3654 3879 3880 3655 f 3879 4104 4105 3880 f 4104 4329 4330 4105 f 4329 4554 4555 4330 f 55 280 281 56 f 280 505 506 281 f 505 730 731 506 f 730 955 956 731 f 955 1180 1181 956 f 1180 1405 1406 1181 f 1405 1630 1631 1406 f 1630 1855 1856 1631 f 1855 2080 2081 1856 f 2080 2305 2306 2081 f 2305 2530 2531 2306 f 2530 2755 2756 2531 f 2755 2980 2981 2756 f 2980 3205 3206 2981 f 3205 3430 3431 3206 f 3430 3655 3656 3431 f 3655 3880 3881 3656 f 3880 4105 4106 3881 f 4105 4330 4331 4106 f 4330 4555 4556 4331 f 56 281 282 57 f 281 506 507 282 f 506 731 732 507 f 731 956 957 732 f 956 1181 1182 957 f 1181 1406 1407 1182 f 1406 1631 1632 1407 f 1631 1856 1857 1632 f 1856 2081 2082 1857 f 2081 2306 2307 2082 f 2306 2531 2532 2307 f 2531 2756 2757 2532 f 2756 2981 2982 2757 f 2981 3206 3207 2982 f 3206 3431 3432 3207 f 3431 3656 3657 3432 f 3656 3881 3882 3657 f 3881 4106 4107 3882 f 4106 4331 4332 4107 f 4331 4556 4557 4332 f 57 282 283 58 f 282 507 508 283 f 507 732 733 508 f 732 957 958 733 f 957 1182 1183 958 f 1182 1407 1408 1183 f 1407 1632 1633 1408 f 1632 1857 1858 1633 f 1857 2082 2083 1858 f 2082 2307 2308 2083 f 2307 2532 2533 2308 f 2532 2757 2758 2533 f 2757 2982 2983 2758 f 2982 3207 3208 2983 f 3207 3432 3433 3208 f 3432 3657 3658 3433 f 3657 3882 3883 3658 f 3882 4107 4108 3883 f 4107 4332 4333 4108 f 4332 4557 4558 4333 f 58 283 284 59 f 283 508 509 284 f 508 733 734 509 f 733 958 959 734 f 958 1183 1184 959 f 1183 1408 1409 1184 f 1408 1633 1634 1409 f 1633 1858 1859 1634 f 1858 2083 2084 1859 f 2083 2308 2309 2084 f 2308 2533 2534 2309 f 2533 2758 2759 2534 f 2758 2983 2984 2759 f 2983 3208 3209 2984 f 3208 3433 3434 3209 f 3433 3658 3659 3434 f 3658 3883 3884 3659 f 3883 4108 4109 3884 f 4108 4333 4334 4109 f 4333 4558 4559 4334 f 59 284 285 60 f 284 509 510 285 f 509 734 735 510 f 734 959 960 735 f 959 1184 1185 960 f 1184 1409 1410 1185 f 1409 1634 1635 1410 f 1634 1859 1860 1635 f 1859 2084 2085 1860 f 2084 2309 2310 2085 f 2309 2534 2535 2310 f 2534 2759 2760 2535 f 2759 2984 2985 2760 f 2984 3209 3210 2985 f 3209 3434 3435 3210 f 3434 3659 3660 3435 f 3659 3884 3885 3660 f 3884 4109 4110 3885 f 4109 4334 4335 4110 f 4334 4559 4560 4335 f 60 285 286 61 f 285 510 511 286 f 510 735 736 511 f 735 960 961 736 f 960 1185 1186 961 f 1185 1410 1411 1186 f 1410 1635 1636 1411 f 1635 1860 1861 1636 f 1860 2085 2086 1861 f 2085 2310 2311 2086 f 2310 2535 2536 2311 f 2535 2760 2761 2536 f 2760 2985 2986 2761 f 2985 3210 3211 2986 f 3210 3435 3436 3211 f 3435 3660 3661 3436 f 3660 3885 3886 3661 f 3885 4110 4111 3886 f 4110 4335 4336 4111 f 4335 4560 4561 4336 f 61 286 287 62 f 286 511 512 287 f 511 736 737 512 f 736 961 962 737 f 961 1186 1187 962 f 1186 1411 1412 1187 f 1411 1636 1637 1412 f 1636 1861 1862 1637 f 1861 2086 2087 1862 f 2086 2311 2312 2087 f 2311 2536 2537 2312 f 2536 2761 2762 2537 f 2761 2986 2987 2762 f 2986 3211 3212 2987 f 3211 3436 3437 3212 f 3436 3661 3662 3437 f 3661 3886 3887 3662 f 3886 4111 4112 3887 f 4111 4336 4337 4112 f 4336 4561 4562 4337 f 62 287 288 63 f 287 512 513 288 f 512 737 738 513 f 737 962 963 738 f 962 1187 1188 963 f 1187 1412 1413 1188 f 1412 1637 1638 1413 f 1637 1862 1863 1638 f 1862 2087 2088 1863 f 2087 2312 2313 2088 f 2312 2537 2538 2313 f 2537 2762 2763 2538 f 2762 2987 2988 2763 f 2987 3212 3213 2988 f 3212 3437 3438 3213 f 3437 3662 3663 3438 f 3662 3887 3888 3663 f 3887 4112 4113 3888 f 4112 4337 4338 4113 f 4337 4562 4563 4338 f 63 288 289 64 f 288 513 514 289 f 513 738 739 514 f 738 963 964 739 f 963 1188 1189 964 f 1188 1413 1414 1189 f 1413 1638 1639 1414 f 1638 1863 1864 1639 f 1863 2088 2089 1864 f 2088 2313 2314 2089 f 2313 2538 2539 2314 f 2538 2763 2764 2539 f 2763 2988 2989 2764 f 2988 3213 3214 2989 f 3213 3438 3439 3214 f 3438 3663 3664 3439 f 3663 3888 3889 3664 f 3888 4113 4114 3889 f 4113 4338 4339 4114 f 4338 4563 4564 4339 f 64 289 290 65 f 289 514 515 290 f 514 739 740 515 f 739 964 965 740 f 964 1189 1190 965 f 1189 1414 1415 1190 f 1414 1639 1640 1415 f 1639 1864 1865 1640 f 1864 2089 2090 1865 f 2089 2314 2315 2090 f 2314 2539 2540 2315 f 2539 2764 2765 2540 f 2764 2989 2990 2765 f 2989 3214 3215 2990 f 3214 3439 3440 3215 f 3439 3664 3665 3440 f 3664 3889 3890 3665 f 3889 4114 4115 3890 f 4114 4339 4340 4115 f 4339 4564 4565 4340 f 65 290 291 66 f 290 515 516 291 f 515 740 741 516 f 740 965 966 741 f 965 1190 1191 966 f 1190 1415 1416 1191 f 1415 1640 1641 1416 f 1640 1865 1866 1641 f 1865 2090 2091 1866 f 2090 2315 2316 2091 f 2315 2540 2541 2316 f 2540 2765 2766 2541 f 2765 2990 2991 2766 f 2990 3215 3216 2991 f 3215 3440 3441 3216 f 3440 3665 3666 3441 f 3665 3890 3891 3666 f 3890 4115 4116 3891 f 4115 4340 4341 4116 f 4340 4565 4566 4341 f 66 291 292 67 f 291 516 517 292 f 516 741 742 517 f 741 966 967 742 f 966 1191 1192 967 f 1191 1416 1417 1192 f 1416 1641 1642 1417 f 1641 1866 1867 1642 f 1866 2091 2092 1867 f 2091 2316 2317 2092 f 2316 2541 2542 2317 f 2541 2766 2767 2542 f 2766 2991 2992 2767 f 2991 3216 3217 2992 f 3216 3441 3442 3217 f 3441 3666 3667 3442 f 3666 3891 3892 3667 f 3891 4116 4117 3892 f 4116 4341 4342 4117 f 4341 4566 4567 4342 f 67 292 293 68 f 292 517 518 293 f 517 742 743 518 f 742 967 968 743 f 967 1192 1193 968 f 1192 1417 1418 1193 f 1417 1642 1643 1418 f 1642 1867 1868 1643 f 1867 2092 2093 1868 f 2092 2317 2318 2093 f 2317 2542 2543 2318 f 2542 2767 2768 2543 f 2767 2992 2993 2768 f 2992 3217 3218 2993 f 3217 3442 3443 3218 f 3442 3667 3668 3443 f 3667 3892 3893 3668 f 3892 4117 4118 3893 f 4117 4342 4343 4118 f 4342 4567 4568 4343 f 68 293 294 69 f 293 518 519 294 f 518 743 744 519 f 743 968 969 744 f 968 1193 1194 969 f 1193 1418 1419 1194 f 1418 1643 1644 1419 f 1643 1868 1869 1644 f 1868 2093 2094 1869 f 2093 2318 2319 2094 f 2318 2543 2544 2319 f 2543 2768 2769 2544 f 2768 2993 2994 2769 f 2993 3218 3219 2994 f 3218 3443 3444 3219 f 3443 3668 3669 3444 f 3668 3893 3894 3669 f 3893 4118 4119 3894 f 4118 4343 4344 4119 f 4343 4568 4569 4344 f 69 294 295 70 f 294 519 520 295 f 519 744 745 520 f 744 969 970 745 f 969 1194 1195 970 f 1194 1419 1420 1195 f 1419 1644 1645 1420 f 1644 1869 1870 1645 f 1869 2094 2095 1870 f 2094 2319 2320 2095 f 2319 2544 2545 2320 f 2544 2769 2770 2545 f 2769 2994 2995 2770 f 2994 3219 3220 2995 f 3219 3444 3445 3220 f 3444 3669 3670 3445 f 3669 3894 3895 3670 f 3894 4119 4120 3895 f 4119 4344 4345 4120 f 4344 4569 4570 4345 f 70 295 296 71 f 295 520 521 296 f 520 745 746 521 f 745 970 971 746 f 970 1195 1196 971 f 1195 1420 1421 1196 f 1420 1645 1646 1421 f 1645 1870 1871 1646 f 1870 2095 2096 1871 f 2095 2320 2321 2096 f 2320 2545 2546 2321 f 2545 2770 2771 2546 f 2770 2995 2996 2771 f 2995 3220 3221 2996 f 3220 3445 3446 3221 f 3445 3670 3671 3446 f 3670 3895 3896 3671 f 3895 4120 4121 3896 f 4120 4345 4346 4121 f 4345 4570 4571 4346 f 71 296 297 72 f 296 521 522 297 f 521 746 747 522 f 746 971 972 747 f 971 1196 1197 972 f 1196 1421 1422 1197 f 1421 1646 1647 1422 f 1646 1871 1872 1647 f 1871 2096 2097 1872 f 2096 2321 2322 2097 f 2321 2546 2547 2322 f 2546 2771 2772 2547 f 2771 2996 2997 2772 f 2996 3221 3222 2997 f 3221 3446 3447 3222 f 3446 3671 3672 3447 f 3671 3896 3897 3672 f 3896 4121 4122 3897 f 4121 4346 4347 4122 f 4346 4571 4572 4347 f 72 297 298 73 f 297 522 523 298 f 522 747 748 523 f 747 972 973 748 f 972 1197 1198 973 f 1197 1422 1423 1198 f 1422 1647 1648 1423 f 1647 1872 1873 1648 f 1872 2097 2098 1873 f 2097 2322 2323 2098 f 2322 2547 2548 2323 f 2547 2772 2773 2548 f 2772 2997 2998 2773 f 2997 3222 3223 2998 f 3222 3447 3448 3223 f 3447 3672 3673 3448 f 3672 3897 3898 3673 f 3897 4122 4123 3898 f 4122 4347 4348 4123 f 4347 4572 4573 4348 f 73 298 299 74 f 298 523 524 299 f 523 748 749 524 f 748 973 974 749 f 973 1198 1199 974 f 1198 1423 1424 1199 f 1423 1648 1649 1424 f 1648 1873 1874 1649 f 1873 2098 2099 1874 f 2098 2323 2324 2099 f 2323 2548 2549 2324 f 2548 2773 2774 2549 f 2773 2998 2999 2774 f 2998 3223 3224 2999 f 3223 3448 3449 3224 f 3448 3673 3674 3449 f 3673 3898 3899 3674 f 3898 4123 4124 3899 f 4123 4348 4349 4124 f 4348 4573 4574 4349 f 74 299 300 75 f 299 524 525 300 f 524 749 750 525 f 749 974 975 750 f 974 1199 1200 975 f 1199 1424 1425 1200 f 1424 1649 1650 1425 f 1649 1874 1875 1650 f 1874 2099 2100 1875 f 2099 2324 2325 2100 f 2324 2549 2550 2325 f 2549 2774 2775 2550 f 2774 2999 3000 2775 f 2999 3224 3225 3000 f 3224 3449 3450 3225 f 3449 3674 3675 3450 f 3674 3899 3900 3675 f 3899 4124 4125 3900 f 4124 4349 4350 4125 f 4349 4574 4575 4350 f 75 300 301 76 f 300 525 526 301 f 525 750 751 526 f 750 975 976 751 f 975 1200 1201 976 f 1200 1425 1426 1201 f 1425 1650 1651 1426 f 1650 1875 1876 1651 f 1875 2100 2101 1876 f 2100 2325 2326 2101 f 2325 2550 2551 2326 f 2550 2775 2776 2551 f 2775 3000 3001 2776 f 3000 3225 3226 3001 f 3225 3450 3451 3226 f 3450 3675 3676 3451 f 3675 3900 3901 3676 f 3900 4125 4126 3901 f 4125 4350 4351 4126 f 4350 4575 4576 4351 f 76 301 302 77 f 301 526 527 302 f 526 751 752 527 f 751 976 977 752 f 976 1201 1202 977 f 1201 1426 1427 1202 f 1426 1651 1652 1427 f 1651 1876 1877 1652 f 1876 2101 2102 1877 f 2101 2326 2327 2102 f 2326 2551 2552 2327 f 2551 2776 2777 2552 f 2776 3001 3002 2777 f 3001 3226 3227 3002 f 3226 3451 3452 3227 f 3451 3676 3677 3452 f 3676 3901 3902 3677 f 3901 4126 4127 3902 f 4126 4351 4352 4127 f 4351 4576 4577 4352 f 77 302 303 78 f 302 527 528 303 f 527 752 753 528 f 752 977 978 753 f 977 1202 1203 978 f 1202 1427 1428 1203 f 1427 1652 1653 1428 f 1652 1877 1878 1653 f 1877 2102 2103 1878 f 2102 2327 2328 2103 f 2327 2552 2553 2328 f 2552 2777 2778 2553 f 2777 3002 3003 2778 f 3002 3227 3228 3003 f 3227 3452 3453 3228 f 3452 3677 3678 3453 f 3677 3902 3903 3678 f 3902 4127 4128 3903 f 4127 4352 4353 4128 f 4352 4577 4578 4353 f 78 303 304 79 f 303 528 529 304 f 528 753 754 529 f 753 978 979 754 f 978 1203 1204 979 f 1203 1428 1429 1204 f 1428 1653 1654 1429 f 1653 1878 1879 1654 f 1878 2103 2104 1879 f 2103 2328 2329 2104 f 2328 2553 2554 2329 f 2553 2778 2779 2554 f 2778 3003 3004 2779 f 3003 3228 3229 3004 f 3228 3453 3454 3229 f 3453 3678 3679 3454 f 3678 3903 3904 3679 f 3903 4128 4129 3904 f 4128 4353 4354 4129 f 4353 4578 4579 4354 f 79 304 305 80 f 304 529 530 305 f 529 754 755 530 f 754 979 980 755 f 979 1204 1205 980 f 1204 1429 1430 1205 f 1429 1654 1655 1430 f 1654 1879 1880 1655 f 1879 2104 2105 1880 f 2104 2329 2330 2105 f 2329 2554 2555 2330 f 2554 2779 2780 2555 f 2779 3004 3005 2780 f 3004 3229 3230 3005 f 3229 3454 3455 3230 f 3454 3679 3680 3455 f 3679 3904 3905 3680 f 3904 4129 4130 3905 f 4129 4354 4355 4130 f 4354 4579 4580 4355 f 80 305 306 81 f 305 530 531 306 f 530 755 756 531 f 755 980 981 756 f 980 1205 1206 981 f 1205 1430 1431 1206 f 1430 1655 1656 1431 f 1655 1880 1881 1656 f 1880 2105 2106 1881 f 2105 2330 2331 2106 f 2330 2555 2556 2331 f 2555 2780 2781 2556 f 2780 3005 3006 2781 f 3005 3230 3231 3006 f 3230 3455 3456 3231 f 3455 3680 3681 3456 f 3680 3905 3906 3681 f 3905 4130 4131 3906 f 4130 4355 4356 4131 f 4355 4580 4581 4356 f 81 306 307 82 f 306 531 532 307 f 531 756 757 532 f 756 981 982 757 f 981 1206 1207 982 f 1206 1431 1432 1207 f 1431 1656 1657 1432 f 1656 1881 1882 1657 f 1881 2106 2107 1882 f 2106 2331 2332 2107 f 2331 2556 2557 2332 f 2556 2781 2782 2557 f 2781 3006 3007 2782 f 3006 3231 3232 3007 f 3231 3456 3457 3232 f 3456 3681 3682 3457 f 3681 3906 3907 3682 f 3906 4131 4132 3907 f 4131 4356 4357 4132 f 4356 4581 4582 4357 f 82 307 308 83 f 307 532 533 308 f 532 757 758 533 f 757 982 983 758 f 982 1207 1208 983 f 1207 1432 1433 1208 f 1432 1657 1658 1433 f 1657 1882 1883 1658 f 1882 2107 2108 1883 f 2107 2332 2333 2108 f 2332 2557 2558 2333 f 2557 2782 2783 2558 f 2782 3007 3008 2783 f 3007 3232 3233 3008 f 3232 3457 3458 3233 f 3457 3682 3683 3458 f 3682 3907 3908 3683 f 3907 4132 4133 3908 f 4132 4357 4358 4133 f 4357 4582 4583 4358 f 83 308 309 84 f 308 533 534 309 f 533 758 759 534 f 758 983 984 759 f 983 1208 1209 984 f 1208 1433 1434 1209 f 1433 1658 1659 1434 f 1658 1883 1884 1659 f 1883 2108 2109 1884 f 2108 2333 2334 2109 f 2333 2558 2559 2334 f 2558 2783 2784 2559 f 2783 3008 3009 2784 f 3008 3233 3234 3009 f 3233 3458 3459 3234 f 3458 3683 3684 3459 f 3683 3908 3909 3684 f 3908 4133 4134 3909 f 4133 4358 4359 4134 f 4358 4583 4584 4359 f 84 309 310 85 f 309 534 535 310 f 534 759 760 535 f 759 984 985 760 f 984 1209 1210 985 f 1209 1434 1435 1210 f 1434 1659 1660 1435 f 1659 1884 1885 1660 f 1884 2109 2110 1885 f 2109 2334 2335 2110 f 2334 2559 2560 2335 f 2559 2784 2785 2560 f 2784 3009 3010 2785 f 3009 3234 3235 3010 f 3234 3459 3460 3235 f 3459 3684 3685 3460 f 3684 3909 3910 3685 f 3909 4134 4135 3910 f 4134 4359 4360 4135 f 4359 4584 4585 4360 f 85 310 311 86 f 310 535 536 311 f 535 760 761 536 f 760 985 986 761 f 985 1210 1211 986 f 1210 1435 1436 1211 f 1435 1660 1661 1436 f 1660 1885 1886 1661 f 1885 2110 2111 1886 f 2110 2335 2336 2111 f 2335 2560 2561 2336 f 2560 2785 2786 2561 f 2785 3010 3011 2786 f 3010 3235 3236 3011 f 3235 3460 3461 3236 f 3460 3685 3686 3461 f 3685 3910 3911 3686 f 3910 4135 4136 3911 f 4135 4360 4361 4136 f 4360 4585 4586 4361 f 86 311 312 87 f 311 536 537 312 f 536 761 762 537 f 761 986 987 762 f 986 1211 1212 987 f 1211 1436 1437 1212 f 1436 1661 1662 1437 f 1661 1886 1887 1662 f 1886 2111 2112 1887 f 2111 2336 2337 2112 f 2336 2561 2562 2337 f 2561 2786 2787 2562 f 2786 3011 3012 2787 f 3011 3236 3237 3012 f 3236 3461 3462 3237 f 3461 3686 3687 3462 f 3686 3911 3912 3687 f 3911 4136 4137 3912 f 4136 4361 4362 4137 f 4361 4586 4587 4362 f 87 312 313 88 f 312 537 538 313 f 537 762 763 538 f 762 987 988 763 f 987 1212 1213 988 f 1212 1437 1438 1213 f 1437 1662 1663 1438 f 1662 1887 1888 1663 f 1887 2112 2113 1888 f 2112 2337 2338 2113 f 2337 2562 2563 2338 f 2562 2787 2788 2563 f 2787 3012 3013 2788 f 3012 3237 3238 3013 f 3237 3462 3463 3238 f 3462 3687 3688 3463 f 3687 3912 3913 3688 f 3912 4137 4138 3913 f 4137 4362 4363 4138 f 4362 4587 4588 4363 f 88 313 314 89 f 313 538 539 314 f 538 763 764 539 f 763 988 989 764 f 988 1213 1214 989 f 1213 1438 1439 1214 f 1438 1663 1664 1439 f 1663 1888 1889 1664 f 1888 2113 2114 1889 f 2113 2338 2339 2114 f 2338 2563 2564 2339 f 2563 2788 2789 2564 f 2788 3013 3014 2789 f 3013 3238 3239 3014 f 3238 3463 3464 3239 f 3463 3688 3689 3464 f 3688 3913 3914 3689 f 3913 4138 4139 3914 f 4138 4363 4364 4139 f 4363 4588 4589 4364 f 89 314 315 90 f 314 539 540 315 f 539 764 765 540 f 764 989 990 765 f 989 1214 1215 990 f 1214 1439 1440 1215 f 1439 1664 1665 1440 f 1664 1889 1890 1665 f 1889 2114 2115 1890 f 2114 2339 2340 2115 f 2339 2564 2565 2340 f 2564 2789 2790 2565 f 2789 3014 3015 2790 f 3014 3239 3240 3015 f 3239 3464 3465 3240 f 3464 3689 3690 3465 f 3689 3914 3915 3690 f 3914 4139 4140 3915 f 4139 4364 4365 4140 f 4364 4589 4590 4365 f 90 315 316 91 f 315 540 541 316 f 540 765 766 541 f 765 990 991 766 f 990 1215 1216 991 f 1215 1440 1441 1216 f 1440 1665 1666 1441 f 1665 1890 1891 1666 f 1890 2115 2116 1891 f 2115 2340 2341 2116 f 2340 2565 2566 2341 f 2565 2790 2791 2566 f 2790 3015 3016 2791 f 3015 3240 3241 3016 f 3240 3465 3466 3241 f 3465 3690 3691 3466 f 3690 3915 3916 3691 f 3915 4140 4141 3916 f 4140 4365 4366 4141 f 4365 4590 4591 4366 f 91 316 317 92 f 316 541 542 317 f 541 766 767 542 f 766 991 992 767 f 991 1216 1217 992 f 1216 1441 1442 1217 f 1441 1666 1667 1442 f 1666 1891 1892 1667 f 1891 2116 2117 1892 f 2116 2341 2342 2117 f 2341 2566 2567 2342 f 2566 2791 2792 2567 f 2791 3016 3017 2792 f 3016 3241 3242 3017 f 3241 3466 3467 3242 f 3466 3691 3692 3467 f 3691 3916 3917 3692 f 3916 4141 4142 3917 f 4141 4366 4367 4142 f 4366 4591 4592 4367 f 92 317 318 93 f 317 542 543 318 f 542 767 768 543 f 767 992 993 768 f 992 1217 1218 993 f 1217 1442 1443 1218 f 1442 1667 1668 1443 f 1667 1892 1893 1668 f 1892 2117 2118 1893 f 2117 2342 2343 2118 f 2342 2567 2568 2343 f 2567 2792 2793 2568 f 2792 3017 3018 2793 f 3017 3242 3243 3018 f 3242 3467 3468 3243 f 3467 3692 3693 3468 f 3692 3917 3918 3693 f 3917 4142 4143 3918 f 4142 4367 4368 4143 f 4367 4592 4593 4368 f 93 318 319 94 f 318 543 544 319 f 543 768 769 544 f 768 993 994 769 f 993 1218 1219 994 f 1218 1443 1444 1219 f 1443 1668 1669 1444 f 1668 1893 1894 1669 f 1893 2118 2119 1894 f 2118 2343 2344 2119 f 2343 2568 2569 2344 f 2568 2793 2794 2569 f 2793 3018 3019 2794 f 3018 3243 3244 3019 f 3243 3468 3469 3244 f 3468 3693 3694 3469 f 3693 3918 3919 3694 f 3918 4143 4144 3919 f 4143 4368 4369 4144 f 4368 4593 4594 4369 f 94 319 320 95 f 319 544 545 320 f 544 769 770 545 f 769 994 995 770 f 994 1219 1220 995 f 1219 1444 1445 1220 f 1444 1669 1670 1445 f 1669 1894 1895 1670 f 1894 2119 2120 1895 f 2119 2344 2345 2120 f 2344 2569 2570 2345 f 2569 2794 2795 2570 f 2794 3019 3020 2795 f 3019 3244 3245 3020 f 3244 3469 3470 3245 f 3469 3694 3695 3470 f 3694 3919 3920 3695 f 3919 4144 4145 3920 f 4144 4369 4370 4145 f 4369 4594 4595 4370 f 95 320 321 96 f 320 545 546 321 f 545 770 771 546 f 770 995 996 771 f 995 1220 1221 996 f 1220 1445 1446 1221 f 1445 1670 1671 1446 f 1670 1895 1896 1671 f 1895 2120 2121 1896 f 2120 2345 2346 2121 f 2345 2570 2571 2346 f 2570 2795 2796 2571 f 2795 3020 3021 2796 f 3020 3245 3246 3021 f 3245 3470 3471 3246 f 3470 3695 3696 3471 f 3695 3920 3921 3696 f 3920 4145 4146 3921 f 4145 4370 4371 4146 f 4370 4595 4596 4371 f 96 321 322 97 f 321 546 547 322 f 546 771 772 547 f 771 996 997 772 f 996 1221 1222 997 f 1221 1446 1447 1222 f 1446 1671 1672 1447 f 1671 1896 1897 1672 f 1896 2121 2122 1897 f 2121 2346 2347 2122 f 2346 2571 2572 2347 f 2571 2796 2797 2572 f 2796 3021 3022 2797 f 3021 3246 3247 3022 f 3246 3471 3472 3247 f 3471 3696 3697 3472 f 3696 3921 3922 3697 f 3921 4146 4147 3922 f 4146 4371 4372 4147 f 4371 4596 4597 4372 f 97 322 323 98 f 322 547 548 323 f 547 772 773 548 f 772 997 998 773 f 997 1222 1223 998 f 1222 1447 1448 1223 f 1447 1672 1673 1448 f 1672 1897 1898 1673 f 1897 2122 2123 1898 f 2122 2347 2348 2123 f 2347 2572 2573 2348 f 2572 2797 2798 2573 f 2797 3022 3023 2798 f 3022 3247 3248 3023 f 3247 3472 3473 3248 f 3472 3697 3698 3473 f 3697 3922 3923 3698 f 3922 4147 4148 3923 f 4147 4372 4373 4148 f 4372 4597 4598 4373 f 98 323 324 99 f 323 548 549 324 f 548 773 774 549 f 773 998 999 774 f 998 1223 1224 999 f 1223 1448 1449 1224 f 1448 1673 1674 1449 f 1673 1898 1899 1674 f 1898 2123 2124 1899 f 2123 2348 2349 2124 f 2348 2573 2574 2349 f 2573 2798 2799 2574 f 2798 3023 3024 2799 f 3023 3248 3249 3024 f 3248 3473 3474 3249 f 3473 3698 3699 3474 f 3698 3923 3924 3699 f 3923 4148 4149 3924 f 4148 4373 4374 4149 f 4373 4598 4599 4374 f 99 324 325 100 f 324 549 550 325 f 549 774 775 550 f 774 999 1000 775 f 999 1224 1225 1000 f 1224 1449 1450 1225 f 1449 1674 1675 1450 f 1674 1899 1900 1675 f 1899 2124 2125 1900 f 2124 2349 2350 2125 f 2349 2574 2575 2350 f 2574 2799 2800 2575 f 2799 3024 3025 2800 f 3024 3249 3250 3025 f 3249 3474 3475 3250 f 3474 3699 3700 3475 f 3699 3924 3925 3700 f 3924 4149 4150 3925 f 4149 4374 4375 4150 f 4374 4599 4600 4375 f 100 325 326 101 f 325 550 551 326 f 550 775 776 551 f 775 1000 1001 776 f 1000 1225 1226 1001 f 1225 1450 1451 1226 f 1450 1675 1676 1451 f 1675 1900 1901 1676 f 1900 2125 2126 1901 f 2125 2350 2351 2126 f 2350 2575 2576 2351 f 2575 2800 2801 2576 f 2800 3025 3026 2801 f 3025 3250 3251 3026 f 3250 3475 3476 3251 f 3475 3700 3701 3476 f 3700 3925 3926 3701 f 3925 4150 4151 3926 f 4150 4375 4376 4151 f 4375 4600 4601 4376 f 101 326 327 102 f 326 551 552 327 f 551 776 777 552 f 776 1001 1002 777 f 1001 1226 1227 1002 f 1226 1451 1452 1227 f 1451 1676 1677 1452 f 1676 1901 1902 1677 f 1901 2126 2127 1902 f 2126 2351 2352 2127 f 2351 2576 2577 2352 f 2576 2801 2802 2577 f 2801 3026 3027 2802 f 3026 3251 3252 3027 f 3251 3476 3477 3252 f 3476 3701 3702 3477 f 3701 3926 3927 3702 f 3926 4151 4152 3927 f 4151 4376 4377 4152 f 4376 4601 4602 4377 f 102 327 328 103 f 327 552 553 328 f 552 777 778 553 f 777 1002 1003 778 f 1002 1227 1228 1003 f 1227 1452 1453 1228 f 1452 1677 1678 1453 f 1677 1902 1903 1678 f 1902 2127 2128 1903 f 2127 2352 2353 2128 f 2352 2577 2578 2353 f 2577 2802 2803 2578 f 2802 3027 3028 2803 f 3027 3252 3253 3028 f 3252 3477 3478 3253 f 3477 3702 3703 3478 f 3702 3927 3928 3703 f 3927 4152 4153 3928 f 4152 4377 4378 4153 f 4377 4602 4603 4378 f 103 328 329 104 f 328 553 554 329 f 553 778 779 554 f 778 1003 1004 779 f 1003 1228 1229 1004 f 1228 1453 1454 1229 f 1453 1678 1679 1454 f 1678 1903 1904 1679 f 1903 2128 2129 1904 f 2128 2353 2354 2129 f 2353 2578 2579 2354 f 2578 2803 2804 2579 f 2803 3028 3029 2804 f 3028 3253 3254 3029 f 3253 3478 3479 3254 f 3478 3703 3704 3479 f 3703 3928 3929 3704 f 3928 4153 4154 3929 f 4153 4378 4379 4154 f 4378 4603 4604 4379 f 104 329 330 105 f 329 554 555 330 f 554 779 780 555 f 779 1004 1005 780 f 1004 1229 1230 1005 f 1229 1454 1455 1230 f 1454 1679 1680 1455 f 1679 1904 1905 1680 f 1904 2129 2130 1905 f 2129 2354 2355 2130 f 2354 2579 2580 2355 f 2579 2804 2805 2580 f 2804 3029 3030 2805 f 3029 3254 3255 3030 f 3254 3479 3480 3255 f 3479 3704 3705 3480 f 3704 3929 3930 3705 f 3929 4154 4155 3930 f 4154 4379 4380 4155 f 4379 4604 4605 4380 f 105 330 331 106 f 330 555 556 331 f 555 780 781 556 f 780 1005 1006 781 f 1005 1230 1231 1006 f 1230 1455 1456 1231 f 1455 1680 1681 1456 f 1680 1905 1906 1681 f 1905 2130 2131 1906 f 2130 2355 2356 2131 f 2355 2580 2581 2356 f 2580 2805 2806 2581 f 2805 3030 3031 2806 f 3030 3255 3256 3031 f 3255 3480 3481 3256 f 3480 3705 3706 3481 f 3705 3930 3931 3706 f 3930 4155 4156 3931 f 4155 4380 4381 4156 f 4380 4605 4606 4381 f 106 331 332 107 f 331 556 557 332 f 556 781 782 557 f 781 1006 1007 782 f 1006 1231 1232 1007 f 1231 1456 1457 1232 f 1456 1681 1682 1457 f 1681 1906 1907 1682 f 1906 2131 2132 1907 f 2131 2356 2357 2132 f 2356 2581 2582 2357 f 2581 2806 2807 2582 f 2806 3031 3032 2807 f 3031 3256 3257 3032 f 3256 3481 3482 3257 f 3481 3706 3707 3482 f 3706 3931 3932 3707 f 3931 4156 4157 3932 f 4156 4381 4382 4157 f 4381 4606 4607 4382 f 107 332 333 108 f 332 557 558 333 f 557 782 783 558 f 782 1007 1008 783 f 1007 1232 1233 1008 f 1232 1457 1458 1233 f 1457 1682 1683 1458 f 1682 1907 1908 1683 f 1907 2132 2133 1908 f 2132 2357 2358 2133 f 2357 2582 2583 2358 f 2582 2807 2808 2583 f 2807 3032 3033 2808 f 3032 3257 3258 3033 f 3257 3482 3483 3258 f 3482 3707 3708 3483 f 3707 3932 3933 3708 f 3932 4157 4158 3933 f 4157 4382 4383 4158 f 4382 4607 4608 4383 f 108 333 334 109 f 333 558 559 334 f 558 783 784 559 f 783 1008 1009 784 f 1008 1233 1234 1009 f 1233 1458 1459 1234 f 1458 1683 1684 1459 f 1683 1908 1909 1684 f 1908 2133 2134 1909 f 2133 2358 2359 2134 f 2358 2583 2584 2359 f 2583 2808 2809 2584 f 2808 3033 3034 2809 f 3033 3258 3259 3034 f 3258 3483 3484 3259 f 3483 3708 3709 3484 f 3708 3933 3934 3709 f 3933 4158 4159 3934 f 4158 4383 4384 4159 f 4383 4608 4609 4384 f 109 334 335 110 f 334 559 560 335 f 559 784 785 560 f 784 1009 1010 785 f 1009 1234 1235 1010 f 1234 1459 1460 1235 f 1459 1684 1685 1460 f 1684 1909 1910 1685 f 1909 2134 2135 1910 f 2134 2359 2360 2135 f 2359 2584 2585 2360 f 2584 2809 2810 2585 f 2809 3034 3035 2810 f 3034 3259 3260 3035 f 3259 3484 3485 3260 f 3484 3709 3710 3485 f 3709 3934 3935 3710 f 3934 4159 4160 3935 f 4159 4384 4385 4160 f 4384 4609 4610 4385 f 110 335 336 111 f 335 560 561 336 f 560 785 786 561 f 785 1010 1011 786 f 1010 1235 1236 1011 f 1235 1460 1461 1236 f 1460 1685 1686 1461 f 1685 1910 1911 1686 f 1910 2135 2136 1911 f 2135 2360 2361 2136 f 2360 2585 2586 2361 f 2585 2810 2811 2586 f 2810 3035 3036 2811 f 3035 3260 3261 3036 f 3260 3485 3486 3261 f 3485 3710 3711 3486 f 3710 3935 3936 3711 f 3935 4160 4161 3936 f 4160 4385 4386 4161 f 4385 4610 4611 4386 f 111 336 337 112 f 336 561 562 337 f 561 786 787 562 f 786 1011 1012 787 f 1011 1236 1237 1012 f 1236 1461 1462 1237 f 1461 1686 1687 1462 f 1686 1911 1912 1687 f 1911 2136 2137 1912 f 2136 2361 2362 2137 f 2361 2586 2587 2362 f 2586 2811 2812 2587 f 2811 3036 3037 2812 f 3036 3261 3262 3037 f 3261 3486 3487 3262 f 3486 3711 3712 3487 f 3711 3936 3937 3712 f 3936 4161 4162 3937 f 4161 4386 4387 4162 f 4386 4611 4612 4387 f 112 337 338 113 f 337 562 563 338 f 562 787 788 563 f 787 1012 1013 788 f 1012 1237 1238 1013 f 1237 1462 1463 1238 f 1462 1687 1688 1463 f 1687 1912 1913 1688 f 1912 2137 2138 1913 f 2137 2362 2363 2138 f 2362 2587 2588 2363 f 2587 2812 2813 2588 f 2812 3037 3038 2813 f 3037 3262 3263 3038 f 3262 3487 3488 3263 f 3487 3712 3713 3488 f 3712 3937 3938 3713 f 3937 4162 4163 3938 f 4162 4387 4388 4163 f 4387 4612 4613 4388 f 113 338 339 114 f 338 563 564 339 f 563 788 789 564 f 788 1013 1014 789 f 1013 1238 1239 1014 f 1238 1463 1464 1239 f 1463 1688 1689 1464 f 1688 1913 1914 1689 f 1913 2138 2139 1914 f 2138 2363 2364 2139 f 2363 2588 2589 2364 f 2588 2813 2814 2589 f 2813 3038 3039 2814 f 3038 3263 3264 3039 f 3263 3488 3489 3264 f 3488 3713 3714 3489 f 3713 3938 3939 3714 f 3938 4163 4164 3939 f 4163 4388 4389 4164 f 4388 4613 4614 4389 f 114 339 340 115 f 339 564 565 340 f 564 789 790 565 f 789 1014 1015 790 f 1014 1239 1240 1015 f 1239 1464 1465 1240 f 1464 1689 1690 1465 f 1689 1914 1915 1690 f 1914 2139 2140 1915 f 2139 2364 2365 2140 f 2364 2589 2590 2365 f 2589 2814 2815 2590 f 2814 3039 3040 2815 f 3039 3264 3265 3040 f 3264 3489 3490 3265 f 3489 3714 3715 3490 f 3714 3939 3940 3715 f 3939 4164 4165 3940 f 4164 4389 4390 4165 f 4389 4614 4615 4390 f 115 340 341 116 f 340 565 566 341 f 565 790 791 566 f 790 1015 1016 791 f 1015 1240 1241 1016 f 1240 1465 1466 1241 f 1465 1690 1691 1466 f 1690 1915 1916 1691 f 1915 2140 2141 1916 f 2140 2365 2366 2141 f 2365 2590 2591 2366 f 2590 2815 2816 2591 f 2815 3040 3041 2816 f 3040 3265 3266 3041 f 3265 3490 3491 3266 f 3490 3715 3716 3491 f 3715 3940 3941 3716 f 3940 4165 4166 3941 f 4165 4390 4391 4166 f 4390 4615 4616 4391 f 116 341 342 117 f 341 566 567 342 f 566 791 792 567 f 791 1016 1017 792 f 1016 1241 1242 1017 f 1241 1466 1467 1242 f 1466 1691 1692 1467 f 1691 1916 1917 1692 f 1916 2141 2142 1917 f 2141 2366 2367 2142 f 2366 2591 2592 2367 f 2591 2816 2817 2592 f 2816 3041 3042 2817 f 3041 3266 3267 3042 f 3266 3491 3492 3267 f 3491 3716 3717 3492 f 3716 3941 3942 3717 f 3941 4166 4167 3942 f 4166 4391 4392 4167 f 4391 4616 4617 4392 f 117 342 343 118 f 342 567 568 343 f 567 792 793 568 f 792 1017 1018 793 f 1017 1242 1243 1018 f 1242 1467 1468 1243 f 1467 1692 1693 1468 f 1692 1917 1918 1693 f 1917 2142 2143 1918 f 2142 2367 2368 2143 f 2367 2592 2593 2368 f 2592 2817 2818 2593 f 2817 3042 3043 2818 f 3042 3267 3268 3043 f 3267 3492 3493 3268 f 3492 3717 3718 3493 f 3717 3942 3943 3718 f 3942 4167 4168 3943 f 4167 4392 4393 4168 f 4392 4617 4618 4393 f 118 343 344 119 f 343 568 569 344 f 568 793 794 569 f 793 1018 1019 794 f 1018 1243 1244 1019 f 1243 1468 1469 1244 f 1468 1693 1694 1469 f 1693 1918 1919 1694 f 1918 2143 2144 1919 f 2143 2368 2369 2144 f 2368 2593 2594 2369 f 2593 2818 2819 2594 f 2818 3043 3044 2819 f 3043 3268 3269 3044 f 3268 3493 3494 3269 f 3493 3718 3719 3494 f 3718 3943 3944 3719 f 3943 4168 4169 3944 f 4168 4393 4394 4169 f 4393 4618 4619 4394 f 119 344 345 120 f 344 569 570 345 f 569 794 795 570 f 794 1019 1020 795 f 1019 1244 1245 1020 f 1244 1469 1470 1245 f 1469 1694 1695 1470 f 1694 1919 1920 1695 f 1919 2144 2145 1920 f 2144 2369 2370 2145 f 2369 2594 2595 2370 f 2594 2819 2820 2595 f 2819 3044 3045 2820 f 3044 3269 3270 3045 f 3269 3494 3495 3270 f 3494 3719 3720 3495 f 3719 3944 3945 3720 f 3944 4169 4170 3945 f 4169 4394 4395 4170 f 4394 4619 4620 4395 f 120 345 346 121 f 345 570 571 346 f 570 795 796 571 f 795 1020 1021 796 f 1020 1245 1246 1021 f 1245 1470 1471 1246 f 1470 1695 1696 1471 f 1695 1920 1921 1696 f 1920 2145 2146 1921 f 2145 2370 2371 2146 f 2370 2595 2596 2371 f 2595 2820 2821 2596 f 2820 3045 3046 2821 f 3045 3270 3271 3046 f 3270 3495 3496 3271 f 3495 3720 3721 3496 f 3720 3945 3946 3721 f 3945 4170 4171 3946 f 4170 4395 4396 4171 f 4395 4620 4621 4396 f 121 346 347 122 f 346 571 572 347 f 571 796 797 572 f 796 1021 1022 797 f 1021 1246 1247 1022 f 1246 1471 1472 1247 f 1471 1696 1697 1472 f 1696 1921 1922 1697 f 1921 2146 2147 1922 f 2146 2371 2372 2147 f 2371 2596 2597 2372 f 2596 2821 2822 2597 f 2821 3046 3047 2822 f 3046 3271 3272 3047 f 3271 3496 3497 3272 f 3496 3721 3722 3497 f 3721 3946 3947 3722 f 3946 4171 4172 3947 f 4171 4396 4397 4172 f 4396 4621 4622 4397 f 122 347 348 123 f 347 572 573 348 f 572 797 798 573 f 797 1022 1023 798 f 1022 1247 1248 1023 f 1247 1472 1473 1248 f 1472 1697 1698 1473 f 1697 1922 1923 1698 f 1922 2147 2148 1923 f 2147 2372 2373 2148 f 2372 2597 2598 2373 f 2597 2822 2823 2598 f 2822 3047 3048 2823 f 3047 3272 3273 3048 f 3272 3497 3498 3273 f 3497 3722 3723 3498 f 3722 3947 3948 3723 f 3947 4172 4173 3948 f 4172 4397 4398 4173 f 4397 4622 4623 4398 f 123 348 349 124 f 348 573 574 349 f 573 798 799 574 f 798 1023 1024 799 f 1023 1248 1249 1024 f 1248 1473 1474 1249 f 1473 1698 1699 1474 f 1698 1923 1924 1699 f 1923 2148 2149 1924 f 2148 2373 2374 2149 f 2373 2598 2599 2374 f 2598 2823 2824 2599 f 2823 3048 3049 2824 f 3048 3273 3274 3049 f 3273 3498 3499 3274 f 3498 3723 3724 3499 f 3723 3948 3949 3724 f 3948 4173 4174 3949 f 4173 4398 4399 4174 f 4398 4623 4624 4399 f 124 349 350 125 f 349 574 575 350 f 574 799 800 575 f 799 1024 1025 800 f 1024 1249 1250 1025 f 1249 1474 1475 1250 f 1474 1699 1700 1475 f 1699 1924 1925 1700 f 1924 2149 2150 1925 f 2149 2374 2375 2150 f 2374 2599 2600 2375 f 2599 2824 2825 2600 f 2824 3049 3050 2825 f 3049 3274 3275 3050 f 3274 3499 3500 3275 f 3499 3724 3725 3500 f 3724 3949 3950 3725 f 3949 4174 4175 3950 f 4174 4399 4400 4175 f 4399 4624 4625 4400 f 125 350 351 126 f 350 575 576 351 f 575 800 801 576 f 800 1025 1026 801 f 1025 1250 1251 1026 f 1250 1475 1476 1251 f 1475 1700 1701 1476 f 1700 1925 1926 1701 f 1925 2150 2151 1926 f 2150 2375 2376 2151 f 2375 2600 2601 2376 f 2600 2825 2826 2601 f 2825 3050 3051 2826 f 3050 3275 3276 3051 f 3275 3500 3501 3276 f 3500 3725 3726 3501 f 3725 3950 3951 3726 f 3950 4175 4176 3951 f 4175 4400 4401 4176 f 4400 4625 4626 4401 f 126 351 352 127 f 351 576 577 352 f 576 801 802 577 f 801 1026 1027 802 f 1026 1251 1252 1027 f 1251 1476 1477 1252 f 1476 1701 1702 1477 f 1701 1926 1927 1702 f 1926 2151 2152 1927 f 2151 2376 2377 2152 f 2376 2601 2602 2377 f 2601 2826 2827 2602 f 2826 3051 3052 2827 f 3051 3276 3277 3052 f 3276 3501 3502 3277 f 3501 3726 3727 3502 f 3726 3951 3952 3727 f 3951 4176 4177 3952 f 4176 4401 4402 4177 f 4401 4626 4627 4402 f 127 352 353 128 f 352 577 578 353 f 577 802 803 578 f 802 1027 1028 803 f 1027 1252 1253 1028 f 1252 1477 1478 1253 f 1477 1702 1703 1478 f 1702 1927 1928 1703 f 1927 2152 2153 1928 f 2152 2377 2378 2153 f 2377 2602 2603 2378 f 2602 2827 2828 2603 f 2827 3052 3053 2828 f 3052 3277 3278 3053 f 3277 3502 3503 3278 f 3502 3727 3728 3503 f 3727 3952 3953 3728 f 3952 4177 4178 3953 f 4177 4402 4403 4178 f 4402 4627 4628 4403 f 128 353 354 129 f 353 578 579 354 f 578 803 804 579 f 803 1028 1029 804 f 1028 1253 1254 1029 f 1253 1478 1479 1254 f 1478 1703 1704 1479 f 1703 1928 1929 1704 f 1928 2153 2154 1929 f 2153 2378 2379 2154 f 2378 2603 2604 2379 f 2603 2828 2829 2604 f 2828 3053 3054 2829 f 3053 3278 3279 3054 f 3278 3503 3504 3279 f 3503 3728 3729 3504 f 3728 3953 3954 3729 f 3953 4178 4179 3954 f 4178 4403 4404 4179 f 4403 4628 4629 4404 f 129 354 355 130 f 354 579 580 355 f 579 804 805 580 f 804 1029 1030 805 f 1029 1254 1255 1030 f 1254 1479 1480 1255 f 1479 1704 1705 1480 f 1704 1929 1930 1705 f 1929 2154 2155 1930 f 2154 2379 2380 2155 f 2379 2604 2605 2380 f 2604 2829 2830 2605 f 2829 3054 3055 2830 f 3054 3279 3280 3055 f 3279 3504 3505 3280 f 3504 3729 3730 3505 f 3729 3954 3955 3730 f 3954 4179 4180 3955 f 4179 4404 4405 4180 f 4404 4629 4630 4405 f 130 355 356 131 f 355 580 581 356 f 580 805 806 581 f 805 1030 1031 806 f 1030 1255 1256 1031 f 1255 1480 1481 1256 f 1480 1705 1706 1481 f 1705 1930 1931 1706 f 1930 2155 2156 1931 f 2155 2380 2381 2156 f 2380 2605 2606 2381 f 2605 2830 2831 2606 f 2830 3055 3056 2831 f 3055 3280 3281 3056 f 3280 3505 3506 3281 f 3505 3730 3731 3506 f 3730 3955 3956 3731 f 3955 4180 4181 3956 f 4180 4405 4406 4181 f 4405 4630 4631 4406 f 131 356 357 132 f 356 581 582 357 f 581 806 807 582 f 806 1031 1032 807 f 1031 1256 1257 1032 f 1256 1481 1482 1257 f 1481 1706 1707 1482 f 1706 1931 1932 1707 f 1931 2156 2157 1932 f 2156 2381 2382 2157 f 2381 2606 2607 2382 f 2606 2831 2832 2607 f 2831 3056 3057 2832 f 3056 3281 3282 3057 f 3281 3506 3507 3282 f 3506 3731 3732 3507 f 3731 3956 3957 3732 f 3956 4181 4182 3957 f 4181 4406 4407 4182 f 4406 4631 4632 4407 f 132 357 358 133 f 357 582 583 358 f 582 807 808 583 f 807 1032 1033 808 f 1032 1257 1258 1033 f 1257 1482 1483 1258 f 1482 1707 1708 1483 f 1707 1932 1933 1708 f 1932 2157 2158 1933 f 2157 2382 2383 2158 f 2382 2607 2608 2383 f 2607 2832 2833 2608 f 2832 3057 3058 2833 f 3057 3282 3283 3058 f 3282 3507 3508 3283 f 3507 3732 3733 3508 f 3732 3957 3958 3733 f 3957 4182 4183 3958 f 4182 4407 4408 4183 f 4407 4632 4633 4408 f 133 358 359 134 f 358 583 584 359 f 583 808 809 584 f 808 1033 1034 809 f 1033 1258 1259 1034 f 1258 1483 1484 1259 f 1483 1708 1709 1484 f 1708 1933 1934 1709 f 1933 2158 2159 1934 f 2158 2383 2384 2159 f 2383 2608 2609 2384 f 2608 2833 2834 2609 f 2833 3058 3059 2834 f 3058 3283 3284 3059 f 3283 3508 3509 3284 f 3508 3733 3734 3509 f 3733 3958 3959 3734 f 3958 4183 4184 3959 f 4183 4408 4409 4184 f 4408 4633 4634 4409 f 134 359 360 135 f 359 584 585 360 f 584 809 810 585 f 809 1034 1035 810 f 1034 1259 1260 1035 f 1259 1484 1485 1260 f 1484 1709 1710 1485 f 1709 1934 1935 1710 f 1934 2159 2160 1935 f 2159 2384 2385 2160 f 2384 2609 2610 2385 f 2609 2834 2835 2610 f 2834 3059 3060 2835 f 3059 3284 3285 3060 f 3284 3509 3510 3285 f 3509 3734 3735 3510 f 3734 3959 3960 3735 f 3959 4184 4185 3960 f 4184 4409 4410 4185 f 4409 4634 4635 4410 f 135 360 361 136 f 360 585 586 361 f 585 810 811 586 f 810 1035 1036 811 f 1035 1260 1261 1036 f 1260 1485 1486 1261 f 1485 1710 1711 1486 f 1710 1935 1936 1711 f 1935 2160 2161 1936 f 2160 2385 2386 2161 f 2385 2610 2611 2386 f 2610 2835 2836 2611 f 2835 3060 3061 2836 f 3060 3285 3286 3061 f 3285 3510 3511 3286 f 3510 3735 3736 3511 f 3735 3960 3961 3736 f 3960 4185 4186 3961 f 4185 4410 4411 4186 f 4410 4635 4636 4411 f 136 361 362 137 f 361 586 587 362 f 586 811 812 587 f 811 1036 1037 812 f 1036 1261 1262 1037 f 1261 1486 1487 1262 f 1486 1711 1712 1487 f 1711 1936 1937 1712 f 1936 2161 2162 1937 f 2161 2386 2387 2162 f 2386 2611 2612 2387 f 2611 2836 2837 2612 f 2836 3061 3062 2837 f 3061 3286 3287 3062 f 3286 3511 3512 3287 f 3511 3736 3737 3512 f 3736 3961 3962 3737 f 3961 4186 4187 3962 f 4186 4411 4412 4187 f 4411 4636 4637 4412 f 137 362 363 138 f 362 587 588 363 f 587 812 813 588 f 812 1037 1038 813 f 1037 1262 1263 1038 f 1262 1487 1488 1263 f 1487 1712 1713 1488 f 1712 1937 1938 1713 f 1937 2162 2163 1938 f 2162 2387 2388 2163 f 2387 2612 2613 2388 f 2612 2837 2838 2613 f 2837 3062 3063 2838 f 3062 3287 3288 3063 f 3287 3512 3513 3288 f 3512 3737 3738 3513 f 3737 3962 3963 3738 f 3962 4187 4188 3963 f 4187 4412 4413 4188 f 4412 4637 4638 4413 f 138 363 364 139 f 363 588 589 364 f 588 813 814 589 f 813 1038 1039 814 f 1038 1263 1264 1039 f 1263 1488 1489 1264 f 1488 1713 1714 1489 f 1713 1938 1939 1714 f 1938 2163 2164 1939 f 2163 2388 2389 2164 f 2388 2613 2614 2389 f 2613 2838 2839 2614 f 2838 3063 3064 2839 f 3063 3288 3289 3064 f 3288 3513 3514 3289 f 3513 3738 3739 3514 f 3738 3963 3964 3739 f 3963 4188 4189 3964 f 4188 4413 4414 4189 f 4413 4638 4639 4414 f 139 364 365 140 f 364 589 590 365 f 589 814 815 590 f 814 1039 1040 815 f 1039 1264 1265 1040 f 1264 1489 1490 1265 f 1489 1714 1715 1490 f 1714 1939 1940 1715 f 1939 2164 2165 1940 f 2164 2389 2390 2165 f 2389 2614 2615 2390 f 2614 2839 2840 2615 f 2839 3064 3065 2840 f 3064 3289 3290 3065 f 3289 3514 3515 3290 f 3514 3739 3740 3515 f 3739 3964 3965 3740 f 3964 4189 4190 3965 f 4189 4414 4415 4190 f 4414 4639 4640 4415 f 140 365 366 141 f 365 590 591 366 f 590 815 816 591 f 815 1040 1041 816 f 1040 1265 1266 1041 f 1265 1490 1491 1266 f 1490 1715 1716 1491 f 1715 1940 1941 1716 f 1940 2165 2166 1941 f 2165 2390 2391 2166 f 2390 2615 2616 2391 f 2615 2840 2841 2616 f 2840 3065 3066 2841 f 3065 3290 3291 3066 f 3290 3515 3516 3291 f 3515 3740 3741 3516 f 3740 3965 3966 3741 f 3965 4190 4191 3966 f 4190 4415 4416 4191 f 4415 4640 4641 4416 f 141 366 367 142 f 366 591 592 367 f 591 816 817 592 f 816 1041 1042 817 f 1041 1266 1267 1042 f 1266 1491 1492 1267 f 1491 1716 1717 1492 f 1716 1941 1942 1717 f 1941 2166 2167 1942 f 2166 2391 2392 2167 f 2391 2616 2617 2392 f 2616 2841 2842 2617 f 2841 3066 3067 2842 f 3066 3291 3292 3067 f 3291 3516 3517 3292 f 3516 3741 3742 3517 f 3741 3966 3967 3742 f 3966 4191 4192 3967 f 4191 4416 4417 4192 f 4416 4641 4642 4417 f 142 367 368 143 f 367 592 593 368 f 592 817 818 593 f 817 1042 1043 818 f 1042 1267 1268 1043 f 1267 1492 1493 1268 f 1492 1717 1718 1493 f 1717 1942 1943 1718 f 1942 2167 2168 1943 f 2167 2392 2393 2168 f 2392 2617 2618 2393 f 2617 2842 2843 2618 f 2842 3067 3068 2843 f 3067 3292 3293 3068 f 3292 3517 3518 3293 f 3517 3742 3743 3518 f 3742 3967 3968 3743 f 3967 4192 4193 3968 f 4192 4417 4418 4193 f 4417 4642 4643 4418 f 143 368 369 144 f 368 593 594 369 f 593 818 819 594 f 818 1043 1044 819 f 1043 1268 1269 1044 f 1268 1493 1494 1269 f 1493 1718 1719 1494 f 1718 1943 1944 1719 f 1943 2168 2169 1944 f 2168 2393 2394 2169 f 2393 2618 2619 2394 f 2618 2843 2844 2619 f 2843 3068 3069 2844 f 3068 3293 3294 3069 f 3293 3518 3519 3294 f 3518 3743 3744 3519 f 3743 3968 3969 3744 f 3968 4193 4194 3969 f 4193 4418 4419 4194 f 4418 4643 4644 4419 f 144 369 370 145 f 369 594 595 370 f 594 819 820 595 f 819 1044 1045 820 f 1044 1269 1270 1045 f 1269 1494 1495 1270 f 1494 1719 1720 1495 f 1719 1944 1945 1720 f 1944 2169 2170 1945 f 2169 2394 2395 2170 f 2394 2619 2620 2395 f 2619 2844 2845 2620 f 2844 3069 3070 2845 f 3069 3294 3295 3070 f 3294 3519 3520 3295 f 3519 3744 3745 3520 f 3744 3969 3970 3745 f 3969 4194 4195 3970 f 4194 4419 4420 4195 f 4419 4644 4645 4420 f 145 370 371 146 f 370 595 596 371 f 595 820 821 596 f 820 1045 1046 821 f 1045 1270 1271 1046 f 1270 1495 1496 1271 f 1495 1720 1721 1496 f 1720 1945 1946 1721 f 1945 2170 2171 1946 f 2170 2395 2396 2171 f 2395 2620 2621 2396 f 2620 2845 2846 2621 f 2845 3070 3071 2846 f 3070 3295 3296 3071 f 3295 3520 3521 3296 f 3520 3745 3746 3521 f 3745 3970 3971 3746 f 3970 4195 4196 3971 f 4195 4420 4421 4196 f 4420 4645 4646 4421 f 146 371 372 147 f 371 596 597 372 f 596 821 822 597 f 821 1046 1047 822 f 1046 1271 1272 1047 f 1271 1496 1497 1272 f 1496 1721 1722 1497 f 1721 1946 1947 1722 f 1946 2171 2172 1947 f 2171 2396 2397 2172 f 2396 2621 2622 2397 f 2621 2846 2847 2622 f 2846 3071 3072 2847 f 3071 3296 3297 3072 f 3296 3521 3522 3297 f 3521 3746 3747 3522 f 3746 3971 3972 3747 f 3971 4196 4197 3972 f 4196 4421 4422 4197 f 4421 4646 4647 4422 f 147 372 373 148 f 372 597 598 373 f 597 822 823 598 f 822 1047 1048 823 f 1047 1272 1273 1048 f 1272 1497 1498 1273 f 1497 1722 1723 1498 f 1722 1947 1948 1723 f 1947 2172 2173 1948 f 2172 2397 2398 2173 f 2397 2622 2623 2398 f 2622 2847 2848 2623 f 2847 3072 3073 2848 f 3072 3297 3298 3073 f 3297 3522 3523 3298 f 3522 3747 3748 3523 f 3747 3972 3973 3748 f 3972 4197 4198 3973 f 4197 4422 4423 4198 f 4422 4647 4648 4423 f 148 373 374 149 f 373 598 599 374 f 598 823 824 599 f 823 1048 1049 824 f 1048 1273 1274 1049 f 1273 1498 1499 1274 f 1498 1723 1724 1499 f 1723 1948 1949 1724 f 1948 2173 2174 1949 f 2173 2398 2399 2174 f 2398 2623 2624 2399 f 2623 2848 2849 2624 f 2848 3073 3074 2849 f 3073 3298 3299 3074 f 3298 3523 3524 3299 f 3523 3748 3749 3524 f 3748 3973 3974 3749 f 3973 4198 4199 3974 f 4198 4423 4424 4199 f 4423 4648 4649 4424 f 149 374 375 150 f 374 599 600 375 f 599 824 825 600 f 824 1049 1050 825 f 1049 1274 1275 1050 f 1274 1499 1500 1275 f 1499 1724 1725 1500 f 1724 1949 1950 1725 f 1949 2174 2175 1950 f 2174 2399 2400 2175 f 2399 2624 2625 2400 f 2624 2849 2850 2625 f 2849 3074 3075 2850 f 3074 3299 3300 3075 f 3299 3524 3525 3300 f 3524 3749 3750 3525 f 3749 3974 3975 3750 f 3974 4199 4200 3975 f 4199 4424 4425 4200 f 4424 4649 4650 4425 f 150 375 376 151 f 375 600 601 376 f 600 825 826 601 f 825 1050 1051 826 f 1050 1275 1276 1051 f 1275 1500 1501 1276 f 1500 1725 1726 1501 f 1725 1950 1951 1726 f 1950 2175 2176 1951 f 2175 2400 2401 2176 f 2400 2625 2626 2401 f 2625 2850 2851 2626 f 2850 3075 3076 2851 f 3075 3300 3301 3076 f 3300 3525 3526 3301 f 3525 3750 3751 3526 f 3750 3975 3976 3751 f 3975 4200 4201 3976 f 4200 4425 4426 4201 f 4425 4650 4651 4426 f 151 376 377 152 f 376 601 602 377 f 601 826 827 602 f 826 1051 1052 827 f 1051 1276 1277 1052 f 1276 1501 1502 1277 f 1501 1726 1727 1502 f 1726 1951 1952 1727 f 1951 2176 2177 1952 f 2176 2401 2402 2177 f 2401 2626 2627 2402 f 2626 2851 2852 2627 f 2851 3076 3077 2852 f 3076 3301 3302 3077 f 3301 3526 3527 3302 f 3526 3751 3752 3527 f 3751 3976 3977 3752 f 3976 4201 4202 3977 f 4201 4426 4427 4202 f 4426 4651 4652 4427 f 152 377 378 153 f 377 602 603 378 f 602 827 828 603 f 827 1052 1053 828 f 1052 1277 1278 1053 f 1277 1502 1503 1278 f 1502 1727 1728 1503 f 1727 1952 1953 1728 f 1952 2177 2178 1953 f 2177 2402 2403 2178 f 2402 2627 2628 2403 f 2627 2852 2853 2628 f 2852 3077 3078 2853 f 3077 3302 3303 3078 f 3302 3527 3528 3303 f 3527 3752 3753 3528 f 3752 3977 3978 3753 f 3977 4202 4203 3978 f 4202 4427 4428 4203 f 4427 4652 4653 4428 f 153 378 379 154 f 378 603 604 379 f 603 828 829 604 f 828 1053 1054 829 f 1053 1278 1279 1054 f 1278 1503 1504 1279 f 1503 1728 1729 1504 f 1728 1953 1954 1729 f 1953 2178 2179 1954 f 2178 2403 2404 2179 f 2403 2628 2629 2404 f 2628 2853 2854 2629 f 2853 3078 3079 2854 f 3078 3303 3304 3079 f 3303 3528 3529 3304 f 3528 3753 3754 3529 f 3753 3978 3979 3754 f 3978 4203 4204 3979 f 4203 4428 4429 4204 f 4428 4653 4654 4429 f 154 379 380 155 f 379 604 605 380 f 604 829 830 605 f 829 1054 1055 830 f 1054 1279 1280 1055 f 1279 1504 1505 1280 f 1504 1729 1730 1505 f 1729 1954 1955 1730 f 1954 2179 2180 1955 f 2179 2404 2405 2180 f 2404 2629 2630 2405 f 2629 2854 2855 2630 f 2854 3079 3080 2855 f 3079 3304 3305 3080 f 3304 3529 3530 3305 f 3529 3754 3755 3530 f 3754 3979 3980 3755 f 3979 4204 4205 3980 f 4204 4429 4430 4205 f 4429 4654 4655 4430 f 155 380 381 156 f 380 605 606 381 f 605 830 831 606 f 830 1055 1056 831 f 1055 1280 1281 1056 f 1280 1505 1506 1281 f 1505 1730 1731 1506 f 1730 1955 1956 1731 f 1955 2180 2181 1956 f 2180 2405 2406 2181 f 2405 2630 2631 2406 f 2630 2855 2856 2631 f 2855 3080 3081 2856 f 3080 3305 3306 3081 f 3305 3530 3531 3306 f 3530 3755 3756 3531 f 3755 3980 3981 3756 f 3980 4205 4206 3981 f 4205 4430 4431 4206 f 4430 4655 4656 4431 f 156 381 382 157 f 381 606 607 382 f 606 831 832 607 f 831 1056 1057 832 f 1056 1281 1282 1057 f 1281 1506 1507 1282 f 1506 1731 1732 1507 f 1731 1956 1957 1732 f 1956 2181 2182 1957 f 2181 2406 2407 2182 f 2406 2631 2632 2407 f 2631 2856 2857 2632 f 2856 3081 3082 2857 f 3081 3306 3307 3082 f 3306 3531 3532 3307 f 3531 3756 3757 3532 f 3756 3981 3982 3757 f 3981 4206 4207 3982 f 4206 4431 4432 4207 f 4431 4656 4657 4432 f 157 382 383 158 f 382 607 608 383 f 607 832 833 608 f 832 1057 1058 833 f 1057 1282 1283 1058 f 1282 1507 1508 1283 f 1507 1732 1733 1508 f 1732 1957 1958 1733 f 1957 2182 2183 1958 f 2182 2407 2408 2183 f 2407 2632 2633 2408 f 2632 2857 2858 2633 f 2857 3082 3083 2858 f 3082 3307 3308 3083 f 3307 3532 3533 3308 f 3532 3757 3758 3533 f 3757 3982 3983 3758 f 3982 4207 4208 3983 f 4207 4432 4433 4208 f 4432 4657 4658 4433 f 158 383 384 159 f 383 608 609 384 f 608 833 834 609 f 833 1058 1059 834 f 1058 1283 1284 1059 f 1283 1508 1509 1284 f 1508 1733 1734 1509 f 1733 1958 1959 1734 f 1958 2183 2184 1959 f 2183 2408 2409 2184 f 2408 2633 2634 2409 f 2633 2858 2859 2634 f 2858 3083 3084 2859 f 3083 3308 3309 3084 f 3308 3533 3534 3309 f 3533 3758 3759 3534 f 3758 3983 3984 3759 f 3983 4208 4209 3984 f 4208 4433 4434 4209 f 4433 4658 4659 4434 f 159 384 385 160 f 384 609 610 385 f 609 834 835 610 f 834 1059 1060 835 f 1059 1284 1285 1060 f 1284 1509 1510 1285 f 1509 1734 1735 1510 f 1734 1959 1960 1735 f 1959 2184 2185 1960 f 2184 2409 2410 2185 f 2409 2634 2635 2410 f 2634 2859 2860 2635 f 2859 3084 3085 2860 f 3084 3309 3310 3085 f 3309 3534 3535 3310 f 3534 3759 3760 3535 f 3759 3984 3985 3760 f 3984 4209 4210 3985 f 4209 4434 4435 4210 f 4434 4659 4660 4435 f 160 385 386 161 f 385 610 611 386 f 610 835 836 611 f 835 1060 1061 836 f 1060 1285 1286 1061 f 1285 1510 1511 1286 f 1510 1735 1736 1511 f 1735 1960 1961 1736 f 1960 2185 2186 1961 f 2185 2410 2411 2186 f 2410 2635 2636 2411 f 2635 2860 2861 2636 f 2860 3085 3086 2861 f 3085 3310 3311 3086 f 3310 3535 3536 3311 f 3535 3760 3761 3536 f 3760 3985 3986 3761 f 3985 4210 4211 3986 f 4210 4435 4436 4211 f 4435 4660 4661 4436 f 161 386 387 162 f 386 611 612 387 f 611 836 837 612 f 836 1061 1062 837 f 1061 1286 1287 1062 f 1286 1511 1512 1287 f 1511 1736 1737 1512 f 1736 1961 1962 1737 f 1961 2186 2187 1962 f 2186 2411 2412 2187 f 2411 2636 2637 2412 f 2636 2861 2862 2637 f 2861 3086 3087 2862 f 3086 3311 3312 3087 f 3311 3536 3537 3312 f 3536 3761 3762 3537 f 3761 3986 3987 3762 f 3986 4211 4212 3987 f 4211 4436 4437 4212 f 4436 4661 4662 4437 f 162 387 388 163 f 387 612 613 388 f 612 837 838 613 f 837 1062 1063 838 f 1062 1287 1288 1063 f 1287 1512 1513 1288 f 1512 1737 1738 1513 f 1737 1962 1963 1738 f 1962 2187 2188 1963 f 2187 2412 2413 2188 f 2412 2637 2638 2413 f 2637 2862 2863 2638 f 2862 3087 3088 2863 f 3087 3312 3313 3088 f 3312 3537 3538 3313 f 3537 3762 3763 3538 f 3762 3987 3988 3763 f 3987 4212 4213 3988 f 4212 4437 4438 4213 f 4437 4662 4663 4438 f 163 388 389 164 f 388 613 614 389 f 613 838 839 614 f 838 1063 1064 839 f 1063 1288 1289 1064 f 1288 1513 1514 1289 f 1513 1738 1739 1514 f 1738 1963 1964 1739 f 1963 2188 2189 1964 f 2188 2413 2414 2189 f 2413 2638 2639 2414 f 2638 2863 2864 2639 f 2863 3088 3089 2864 f 3088 3313 3314 3089 f 3313 3538 3539 3314 f 3538 3763 3764 3539 f 3763 3988 3989 3764 f 3988 4213 4214 3989 f 4213 4438 4439 4214 f 4438 4663 4664 4439 f 164 389 390 165 f 389 614 615 390 f 614 839 840 615 f 839 1064 1065 840 f 1064 1289 1290 1065 f 1289 1514 1515 1290 f 1514 1739 1740 1515 f 1739 1964 1965 1740 f 1964 2189 2190 1965 f 2189 2414 2415 2190 f 2414 2639 2640 2415 f 2639 2864 2865 2640 f 2864 3089 3090 2865 f 3089 3314 3315 3090 f 3314 3539 3540 3315 f 3539 3764 3765 3540 f 3764 3989 3990 3765 f 3989 4214 4215 3990 f 4214 4439 4440 4215 f 4439 4664 4665 4440 f 165 390 391 166 f 390 615 616 391 f 615 840 841 616 f 840 1065 1066 841 f 1065 1290 1291 1066 f 1290 1515 1516 1291 f 1515 1740 1741 1516 f 1740 1965 1966 1741 f 1965 2190 2191 1966 f 2190 2415 2416 2191 f 2415 2640 2641 2416 f 2640 2865 2866 2641 f 2865 3090 3091 2866 f 3090 3315 3316 3091 f 3315 3540 3541 3316 f 3540 3765 3766 3541 f 3765 3990 3991 3766 f 3990 4215 4216 3991 f 4215 4440 4441 4216 f 4440 4665 4666 4441 f 166 391 392 167 f 391 616 617 392 f 616 841 842 617 f 841 1066 1067 842 f 1066 1291 1292 1067 f 1291 1516 1517 1292 f 1516 1741 1742 1517 f 1741 1966 1967 1742 f 1966 2191 2192 1967 f 2191 2416 2417 2192 f 2416 2641 2642 2417 f 2641 2866 2867 2642 f 2866 3091 3092 2867 f 3091 3316 3317 3092 f 3316 3541 3542 3317 f 3541 3766 3767 3542 f 3766 3991 3992 3767 f 3991 4216 4217 3992 f 4216 4441 4442 4217 f 4441 4666 4667 4442 f 167 392 393 168 f 392 617 618 393 f 617 842 843 618 f 842 1067 1068 843 f 1067 1292 1293 1068 f 1292 1517 1518 1293 f 1517 1742 1743 1518 f 1742 1967 1968 1743 f 1967 2192 2193 1968 f 2192 2417 2418 2193 f 2417 2642 2643 2418 f 2642 2867 2868 2643 f 2867 3092 3093 2868 f 3092 3317 3318 3093 f 3317 3542 3543 3318 f 3542 3767 3768 3543 f 3767 3992 3993 3768 f 3992 4217 4218 3993 f 4217 4442 4443 4218 f 4442 4667 4668 4443 f 168 393 394 169 f 393 618 619 394 f 618 843 844 619 f 843 1068 1069 844 f 1068 1293 1294 1069 f 1293 1518 1519 1294 f 1518 1743 1744 1519 f 1743 1968 1969 1744 f 1968 2193 2194 1969 f 2193 2418 2419 2194 f 2418 2643 2644 2419 f 2643 2868 2869 2644 f 2868 3093 3094 2869 f 3093 3318 3319 3094 f 3318 3543 3544 3319 f 3543 3768 3769 3544 f 3768 3993 3994 3769 f 3993 4218 4219 3994 f 4218 4443 4444 4219 f 4443 4668 4669 4444 f 169 394 395 170 f 394 619 620 395 f 619 844 845 620 f 844 1069 1070 845 f 1069 1294 1295 1070 f 1294 1519 1520 1295 f 1519 1744 1745 1520 f 1744 1969 1970 1745 f 1969 2194 2195 1970 f 2194 2419 2420 2195 f 2419 2644 2645 2420 f 2644 2869 2870 2645 f 2869 3094 3095 2870 f 3094 3319 3320 3095 f 3319 3544 3545 3320 f 3544 3769 3770 3545 f 3769 3994 3995 3770 f 3994 4219 4220 3995 f 4219 4444 4445 4220 f 4444 4669 4670 4445 f 170 395 396 171 f 395 620 621 396 f 620 845 846 621 f 845 1070 1071 846 f 1070 1295 1296 1071 f 1295 1520 1521 1296 f 1520 1745 1746 1521 f 1745 1970 1971 1746 f 1970 2195 2196 1971 f 2195 2420 2421 2196 f 2420 2645 2646 2421 f 2645 2870 2871 2646 f 2870 3095 3096 2871 f 3095 3320 3321 3096 f 3320 3545 3546 3321 f 3545 3770 3771 3546 f 3770 3995 3996 3771 f 3995 4220 4221 3996 f 4220 4445 4446 4221 f 4445 4670 4671 4446 f 171 396 397 172 f 396 621 622 397 f 621 846 847 622 f 846 1071 1072 847 f 1071 1296 1297 1072 f 1296 1521 1522 1297 f 1521 1746 1747 1522 f 1746 1971 1972 1747 f 1971 2196 2197 1972 f 2196 2421 2422 2197 f 2421 2646 2647 2422 f 2646 2871 2872 2647 f 2871 3096 3097 2872 f 3096 3321 3322 3097 f 3321 3546 3547 3322 f 3546 3771 3772 3547 f 3771 3996 3997 3772 f 3996 4221 4222 3997 f 4221 4446 4447 4222 f 4446 4671 4672 4447 f 172 397 398 173 f 397 622 623 398 f 622 847 848 623 f 847 1072 1073 848 f 1072 1297 1298 1073 f 1297 1522 1523 1298 f 1522 1747 1748 1523 f 1747 1972 1973 1748 f 1972 2197 2198 1973 f 2197 2422 2423 2198 f 2422 2647 2648 2423 f 2647 2872 2873 2648 f 2872 3097 3098 2873 f 3097 3322 3323 3098 f 3322 3547 3548 3323 f 3547 3772 3773 3548 f 3772 3997 3998 3773 f 3997 4222 4223 3998 f 4222 4447 4448 4223 f 4447 4672 4673 4448 f 173 398 399 174 f 398 623 624 399 f 623 848 849 624 f 848 1073 1074 849 f 1073 1298 1299 1074 f 1298 1523 1524 1299 f 1523 1748 1749 1524 f 1748 1973 1974 1749 f 1973 2198 2199 1974 f 2198 2423 2424 2199 f 2423 2648 2649 2424 f 2648 2873 2874 2649 f 2873 3098 3099 2874 f 3098 3323 3324 3099 f 3323 3548 3549 3324 f 3548 3773 3774 3549 f 3773 3998 3999 3774 f 3998 4223 4224 3999 f 4223 4448 4449 4224 f 4448 4673 4674 4449 f 174 399 400 175 f 399 624 625 400 f 624 849 850 625 f 849 1074 1075 850 f 1074 1299 1300 1075 f 1299 1524 1525 1300 f 1524 1749 1750 1525 f 1749 1974 1975 1750 f 1974 2199 2200 1975 f 2199 2424 2425 2200 f 2424 2649 2650 2425 f 2649 2874 2875 2650 f 2874 3099 3100 2875 f 3099 3324 3325 3100 f 3324 3549 3550 3325 f 3549 3774 3775 3550 f 3774 3999 4000 3775 f 3999 4224 4225 4000 f 4224 4449 4450 4225 f 4449 4674 4675 4450 f 175 400 401 176 f 400 625 626 401 f 625 850 851 626 f 850 1075 1076 851 f 1075 1300 1301 1076 f 1300 1525 1526 1301 f 1525 1750 1751 1526 f 1750 1975 1976 1751 f 1975 2200 2201 1976 f 2200 2425 2426 2201 f 2425 2650 2651 2426 f 2650 2875 2876 2651 f 2875 3100 3101 2876 f 3100 3325 3326 3101 f 3325 3550 3551 3326 f 3550 3775 3776 3551 f 3775 4000 4001 3776 f 4000 4225 4226 4001 f 4225 4450 4451 4226 f 4450 4675 4676 4451 f 176 401 402 177 f 401 626 627 402 f 626 851 852 627 f 851 1076 1077 852 f 1076 1301 1302 1077 f 1301 1526 1527 1302 f 1526 1751 1752 1527 f 1751 1976 1977 1752 f 1976 2201 2202 1977 f 2201 2426 2427 2202 f 2426 2651 2652 2427 f 2651 2876 2877 2652 f 2876 3101 3102 2877 f 3101 3326 3327 3102 f 3326 3551 3552 3327 f 3551 3776 3777 3552 f 3776 4001 4002 3777 f 4001 4226 4227 4002 f 4226 4451 4452 4227 f 4451 4676 4677 4452 f 177 402 403 178 f 402 627 628 403 f 627 852 853 628 f 852 1077 1078 853 f 1077 1302 1303 1078 f 1302 1527 1528 1303 f 1527 1752 1753 1528 f 1752 1977 1978 1753 f 1977 2202 2203 1978 f 2202 2427 2428 2203 f 2427 2652 2653 2428 f 2652 2877 2878 2653 f 2877 3102 3103 2878 f 3102 3327 3328 3103 f 3327 3552 3553 3328 f 3552 3777 3778 3553 f 3777 4002 4003 3778 f 4002 4227 4228 4003 f 4227 4452 4453 4228 f 4452 4677 4678 4453 f 178 403 404 179 f 403 628 629 404 f 628 853 854 629 f 853 1078 1079 854 f 1078 1303 1304 1079 f 1303 1528 1529 1304 f 1528 1753 1754 1529 f 1753 1978 1979 1754 f 1978 2203 2204 1979 f 2203 2428 2429 2204 f 2428 2653 2654 2429 f 2653 2878 2879 2654 f 2878 3103 3104 2879 f 3103 3328 3329 3104 f 3328 3553 3554 3329 f 3553 3778 3779 3554 f 3778 4003 4004 3779 f 4003 4228 4229 4004 f 4228 4453 4454 4229 f 4453 4678 4679 4454 f 179 404 405 180 f 404 629 630 405 f 629 854 855 630 f 854 1079 1080 855 f 1079 1304 1305 1080 f 1304 1529 1530 1305 f 1529 1754 1755 1530 f 1754 1979 1980 1755 f 1979 2204 2205 1980 f 2204 2429 2430 2205 f 2429 2654 2655 2430 f 2654 2879 2880 2655 f 2879 3104 3105 2880 f 3104 3329 3330 3105 f 3329 3554 3555 3330 f 3554 3779 3780 3555 f 3779 4004 4005 3780 f 4004 4229 4230 4005 f 4229 4454 4455 4230 f 4454 4679 4680 4455 f 180 405 406 181 f 405 630 631 406 f 630 855 856 631 f 855 1080 1081 856 f 1080 1305 1306 1081 f 1305 1530 1531 1306 f 1530 1755 1756 1531 f 1755 1980 1981 1756 f 1980 2205 2206 1981 f 2205 2430 2431 2206 f 2430 2655 2656 2431 f 2655 2880 2881 2656 f 2880 3105 3106 2881 f 3105 3330 3331 3106 f 3330 3555 3556 3331 f 3555 3780 3781 3556 f 3780 4005 4006 3781 f 4005 4230 4231 4006 f 4230 4455 4456 4231 f 4455 4680 4681 4456 f 181 406 407 182 f 406 631 632 407 f 631 856 857 632 f 856 1081 1082 857 f 1081 1306 1307 1082 f 1306 1531 1532 1307 f 1531 1756 1757 1532 f 1756 1981 1982 1757 f 1981 2206 2207 1982 f 2206 2431 2432 2207 f 2431 2656 2657 2432 f 2656 2881 2882 2657 f 2881 3106 3107 2882 f 3106 3331 3332 3107 f 3331 3556 3557 3332 f 3556 3781 3782 3557 f 3781 4006 4007 3782 f 4006 4231 4232 4007 f 4231 4456 4457 4232 f 4456 4681 4682 4457 f 182 407 408 183 f 407 632 633 408 f 632 857 858 633 f 857 1082 1083 858 f 1082 1307 1308 1083 f 1307 1532 1533 1308 f 1532 1757 1758 1533 f 1757 1982 1983 1758 f 1982 2207 2208 1983 f 2207 2432 2433 2208 f 2432 2657 2658 2433 f 2657 2882 2883 2658 f 2882 3107 3108 2883 f 3107 3332 3333 3108 f 3332 3557 3558 3333 f 3557 3782 3783 3558 f 3782 4007 4008 3783 f 4007 4232 4233 4008 f 4232 4457 4458 4233 f 4457 4682 4683 4458 f 183 408 409 184 f 408 633 634 409 f 633 858 859 634 f 858 1083 1084 859 f 1083 1308 1309 1084 f 1308 1533 1534 1309 f 1533 1758 1759 1534 f 1758 1983 1984 1759 f 1983 2208 2209 1984 f 2208 2433 2434 2209 f 2433 2658 2659 2434 f 2658 2883 2884 2659 f 2883 3108 3109 2884 f 3108 3333 3334 3109 f 3333 3558 3559 3334 f 3558 3783 3784 3559 f 3783 4008 4009 3784 f 4008 4233 4234 4009 f 4233 4458 4459 4234 f 4458 4683 4684 4459 f 184 409 410 185 f 409 634 635 410 f 634 859 860 635 f 859 1084 1085 860 f 1084 1309 1310 1085 f 1309 1534 1535 1310 f 1534 1759 1760 1535 f 1759 1984 1985 1760 f 1984 2209 2210 1985 f 2209 2434 2435 2210 f 2434 2659 2660 2435 f 2659 2884 2885 2660 f 2884 3109 3110 2885 f 3109 3334 3335 3110 f 3334 3559 3560 3335 f 3559 3784 3785 3560 f 3784 4009 4010 3785 f 4009 4234 4235 4010 f 4234 4459 4460 4235 f 4459 4684 4685 4460 f 185 410 411 186 f 410 635 636 411 f 635 860 861 636 f 860 1085 1086 861 f 1085 1310 1311 1086 f 1310 1535 1536 1311 f 1535 1760 1761 1536 f 1760 1985 1986 1761 f 1985 2210 2211 1986 f 2210 2435 2436 2211 f 2435 2660 2661 2436 f 2660 2885 2886 2661 f 2885 3110 3111 2886 f 3110 3335 3336 3111 f 3335 3560 3561 3336 f 3560 3785 3786 3561 f 3785 4010 4011 3786 f 4010 4235 4236 4011 f 4235 4460 4461 4236 f 4460 4685 4686 4461 f 186 411 412 187 f 411 636 637 412 f 636 861 862 637 f 861 1086 1087 862 f 1086 1311 1312 1087 f 1311 1536 1537 1312 f 1536 1761 1762 1537 f 1761 1986 1987 1762 f 1986 2211 2212 1987 f 2211 2436 2437 2212 f 2436 2661 2662 2437 f 2661 2886 2887 2662 f 2886 3111 3112 2887 f 3111 3336 3337 3112 f 3336 3561 3562 3337 f 3561 3786 3787 3562 f 3786 4011 4012 3787 f 4011 4236 4237 4012 f 4236 4461 4462 4237 f 4461 4686 4687 4462 f 187 412 413 188 f 412 637 638 413 f 637 862 863 638 f 862 1087 1088 863 f 1087 1312 1313 1088 f 1312 1537 1538 1313 f 1537 1762 1763 1538 f 1762 1987 1988 1763 f 1987 2212 2213 1988 f 2212 2437 2438 2213 f 2437 2662 2663 2438 f 2662 2887 2888 2663 f 2887 3112 3113 2888 f 3112 3337 3338 3113 f 3337 3562 3563 3338 f 3562 3787 3788 3563 f 3787 4012 4013 3788 f 4012 4237 4238 4013 f 4237 4462 4463 4238 f 4462 4687 4688 4463 f 188 413 414 189 f 413 638 639 414 f 638 863 864 639 f 863 1088 1089 864 f 1088 1313 1314 1089 f 1313 1538 1539 1314 f 1538 1763 1764 1539 f 1763 1988 1989 1764 f 1988 2213 2214 1989 f 2213 2438 2439 2214 f 2438 2663 2664 2439 f 2663 2888 2889 2664 f 2888 3113 3114 2889 f 3113 3338 3339 3114 f 3338 3563 3564 3339 f 3563 3788 3789 3564 f 3788 4013 4014 3789 f 4013 4238 4239 4014 f 4238 4463 4464 4239 f 4463 4688 4689 4464 f 189 414 415 190 f 414 639 640 415 f 639 864 865 640 f 864 1089 1090 865 f 1089 1314 1315 1090 f 1314 1539 1540 1315 f 1539 1764 1765 1540 f 1764 1989 1990 1765 f 1989 2214 2215 1990 f 2214 2439 2440 2215 f 2439 2664 2665 2440 f 2664 2889 2890 2665 f 2889 3114 3115 2890 f 3114 3339 3340 3115 f 3339 3564 3565 3340 f 3564 3789 3790 3565 f 3789 4014 4015 3790 f 4014 4239 4240 4015 f 4239 4464 4465 4240 f 4464 4689 4690 4465 f 190 415 416 191 f 415 640 641 416 f 640 865 866 641 f 865 1090 1091 866 f 1090 1315 1316 1091 f 1315 1540 1541 1316 f 1540 1765 1766 1541 f 1765 1990 1991 1766 f 1990 2215 2216 1991 f 2215 2440 2441 2216 f 2440 2665 2666 2441 f 2665 2890 2891 2666 f 2890 3115 3116 2891 f 3115 3340 3341 3116 f 3340 3565 3566 3341 f 3565 3790 3791 3566 f 3790 4015 4016 3791 f 4015 4240 4241 4016 f 4240 4465 4466 4241 f 4465 4690 4691 4466 f 191 416 417 192 f 416 641 642 417 f 641 866 867 642 f 866 1091 1092 867 f 1091 1316 1317 1092 f 1316 1541 1542 1317 f 1541 1766 1767 1542 f 1766 1991 1992 1767 f 1991 2216 2217 1992 f 2216 2441 2442 2217 f 2441 2666 2667 2442 f 2666 2891 2892 2667 f 2891 3116 3117 2892 f 3116 3341 3342 3117 f 3341 3566 3567 3342 f 3566 3791 3792 3567 f 3791 4016 4017 3792 f 4016 4241 4242 4017 f 4241 4466 4467 4242 f 4466 4691 4692 4467 f 192 417 418 193 f 417 642 643 418 f 642 867 868 643 f 867 1092 1093 868 f 1092 1317 1318 1093 f 1317 1542 1543 1318 f 1542 1767 1768 1543 f 1767 1992 1993 1768 f 1992 2217 2218 1993 f 2217 2442 2443 2218 f 2442 2667 2668 2443 f 2667 2892 2893 2668 f 2892 3117 3118 2893 f 3117 3342 3343 3118 f 3342 3567 3568 3343 f 3567 3792 3793 3568 f 3792 4017 4018 3793 f 4017 4242 4243 4018 f 4242 4467 4468 4243 f 4467 4692 4693 4468 f 193 418 419 194 f 418 643 644 419 f 643 868 869 644 f 868 1093 1094 869 f 1093 1318 1319 1094 f 1318 1543 1544 1319 f 1543 1768 1769 1544 f 1768 1993 1994 1769 f 1993 2218 2219 1994 f 2218 2443 2444 2219 f 2443 2668 2669 2444 f 2668 2893 2894 2669 f 2893 3118 3119 2894 f 3118 3343 3344 3119 f 3343 3568 3569 3344 f 3568 3793 3794 3569 f 3793 4018 4019 3794 f 4018 4243 4244 4019 f 4243 4468 4469 4244 f 4468 4693 4694 4469 f 194 419 420 195 f 419 644 645 420 f 644 869 870 645 f 869 1094 1095 870 f 1094 1319 1320 1095 f 1319 1544 1545 1320 f 1544 1769 1770 1545 f 1769 1994 1995 1770 f 1994 2219 2220 1995 f 2219 2444 2445 2220 f 2444 2669 2670 2445 f 2669 2894 2895 2670 f 2894 3119 3120 2895 f 3119 3344 3345 3120 f 3344 3569 3570 3345 f 3569 3794 3795 3570 f 3794 4019 4020 3795 f 4019 4244 4245 4020 f 4244 4469 4470 4245 f 4469 4694 4695 4470 f 195 420 421 196 f 420 645 646 421 f 645 870 871 646 f 870 1095 1096 871 f 1095 1320 1321 1096 f 1320 1545 1546 1321 f 1545 1770 1771 1546 f 1770 1995 1996 1771 f 1995 2220 2221 1996 f 2220 2445 2446 2221 f 2445 2670 2671 2446 f 2670 2895 2896 2671 f 2895 3120 3121 2896 f 3120 3345 3346 3121 f 3345 3570 3571 3346 f 3570 3795 3796 3571 f 3795 4020 4021 3796 f 4020 4245 4246 4021 f 4245 4470 4471 4246 f 4470 4695 4696 4471 f 196 421 422 197 f 421 646 647 422 f 646 871 872 647 f 871 1096 1097 872 f 1096 1321 1322 1097 f 1321 1546 1547 1322 f 1546 1771 1772 1547 f 1771 1996 1997 1772 f 1996 2221 2222 1997 f 2221 2446 2447 2222 f 2446 2671 2672 2447 f 2671 2896 2897 2672 f 2896 3121 3122 2897 f 3121 3346 3347 3122 f 3346 3571 3572 3347 f 3571 3796 3797 3572 f 3796 4021 4022 3797 f 4021 4246 4247 4022 f 4246 4471 4472 4247 f 4471 4696 4697 4472 f 197 422 423 198 f 422 647 648 423 f 647 872 873 648 f 872 1097 1098 873 f 1097 1322 1323 1098 f 1322 1547 1548 1323 f 1547 1772 1773 1548 f 1772 1997 1998 1773 f 1997 2222 2223 1998 f 2222 2447 2448 2223 f 2447 2672 2673 2448 f 2672 2897 2898 2673 f 2897 3122 3123 2898 f 3122 3347 3348 3123 f 3347 3572 3573 3348 f 3572 3797 3798 3573 f 3797 4022 4023 3798 f 4022 4247 4248 4023 f 4247 4472 4473 4248 f 4472 4697 4698 4473 f 198 423 424 199 f 423 648 649 424 f 648 873 874 649 f 873 1098 1099 874 f 1098 1323 1324 1099 f 1323 1548 1549 1324 f 1548 1773 1774 1549 f 1773 1998 1999 1774 f 1998 2223 2224 1999 f 2223 2448 2449 2224 f 2448 2673 2674 2449 f 2673 2898 2899 2674 f 2898 3123 3124 2899 f 3123 3348 3349 3124 f 3348 3573 3574 3349 f 3573 3798 3799 3574 f 3798 4023 4024 3799 f 4023 4248 4249 4024 f 4248 4473 4474 4249 f 4473 4698 4699 4474 f 199 424 425 200 f 424 649 650 425 f 649 874 875 650 f 874 1099 1100 875 f 1099 1324 1325 1100 f 1324 1549 1550 1325 f 1549 1774 1775 1550 f 1774 1999 2000 1775 f 1999 2224 2225 2000 f 2224 2449 2450 2225 f 2449 2674 2675 2450 f 2674 2899 2900 2675 f 2899 3124 3125 2900 f 3124 3349 3350 3125 f 3349 3574 3575 3350 f 3574 3799 3800 3575 f 3799 4024 4025 3800 f 4024 4249 4250 4025 f 4249 4474 4475 4250 f 4474 4699 4700 4475 f 200 425 426 201 f 425 650 651 426 f 650 875 876 651 f 875 1100 1101 876 f 1100 1325 1326 1101 f 1325 1550 1551 1326 f 1550 1775 1776 1551 f 1775 2000 2001 1776 f 2000 2225 2226 2001 f 2225 2450 2451 2226 f 2450 2675 2676 2451 f 2675 2900 2901 2676 f 2900 3125 3126 2901 f 3125 3350 3351 3126 f 3350 3575 3576 3351 f 3575 3800 3801 3576 f 3800 4025 4026 3801 f 4025 4250 4251 4026 f 4250 4475 4476 4251 f 4475 4700 4701 4476 f 201 426 427 202 f 426 651 652 427 f 651 876 877 652 f 876 1101 1102 877 f 1101 1326 1327 1102 f 1326 1551 1552 1327 f 1551 1776 1777 1552 f 1776 2001 2002 1777 f 2001 2226 2227 2002 f 2226 2451 2452 2227 f 2451 2676 2677 2452 f 2676 2901 2902 2677 f 2901 3126 3127 2902 f 3126 3351 3352 3127 f 3351 3576 3577 3352 f 3576 3801 3802 3577 f 3801 4026 4027 3802 f 4026 4251 4252 4027 f 4251 4476 4477 4252 f 4476 4701 4702 4477 f 202 427 428 203 f 427 652 653 428 f 652 877 878 653 f 877 1102 1103 878 f 1102 1327 1328 1103 f 1327 1552 1553 1328 f 1552 1777 1778 1553 f 1777 2002 2003 1778 f 2002 2227 2228 2003 f 2227 2452 2453 2228 f 2452 2677 2678 2453 f 2677 2902 2903 2678 f 2902 3127 3128 2903 f 3127 3352 3353 3128 f 3352 3577 3578 3353 f 3577 3802 3803 3578 f 3802 4027 4028 3803 f 4027 4252 4253 4028 f 4252 4477 4478 4253 f 4477 4702 4703 4478 f 203 428 429 204 f 428 653 654 429 f 653 878 879 654 f 878 1103 1104 879 f 1103 1328 1329 1104 f 1328 1553 1554 1329 f 1553 1778 1779 1554 f 1778 2003 2004 1779 f 2003 2228 2229 2004 f 2228 2453 2454 2229 f 2453 2678 2679 2454 f 2678 2903 2904 2679 f 2903 3128 3129 2904 f 3128 3353 3354 3129 f 3353 3578 3579 3354 f 3578 3803 3804 3579 f 3803 4028 4029 3804 f 4028 4253 4254 4029 f 4253 4478 4479 4254 f 4478 4703 4704 4479 f 204 429 430 205 f 429 654 655 430 f 654 879 880 655 f 879 1104 1105 880 f 1104 1329 1330 1105 f 1329 1554 1555 1330 f 1554 1779 1780 1555 f 1779 2004 2005 1780 f 2004 2229 2230 2005 f 2229 2454 2455 2230 f 2454 2679 2680 2455 f 2679 2904 2905 2680 f 2904 3129 3130 2905 f 3129 3354 3355 3130 f 3354 3579 3580 3355 f 3579 3804 3805 3580 f 3804 4029 4030 3805 f 4029 4254 4255 4030 f 4254 4479 4480 4255 f 4479 4704 4705 4480 f 205 430 431 206 f 430 655 656 431 f 655 880 881 656 f 880 1105 1106 881 f 1105 1330 1331 1106 f 1330 1555 1556 1331 f 1555 1780 1781 1556 f 1780 2005 2006 1781 f 2005 2230 2231 2006 f 2230 2455 2456 2231 f 2455 2680 2681 2456 f 2680 2905 2906 2681 f 2905 3130 3131 2906 f 3130 3355 3356 3131 f 3355 3580 3581 3356 f 3580 3805 3806 3581 f 3805 4030 4031 3806 f 4030 4255 4256 4031 f 4255 4480 4481 4256 f 4480 4705 4706 4481 f 206 431 432 207 f 431 656 657 432 f 656 881 882 657 f 881 1106 1107 882 f 1106 1331 1332 1107 f 1331 1556 1557 1332 f 1556 1781 1782 1557 f 1781 2006 2007 1782 f 2006 2231 2232 2007 f 2231 2456 2457 2232 f 2456 2681 2682 2457 f 2681 2906 2907 2682 f 2906 3131 3132 2907 f 3131 3356 3357 3132 f 3356 3581 3582 3357 f 3581 3806 3807 3582 f 3806 4031 4032 3807 f 4031 4256 4257 4032 f 4256 4481 4482 4257 f 4481 4706 4707 4482 f 207 432 433 208 f 432 657 658 433 f 657 882 883 658 f 882 1107 1108 883 f 1107 1332 1333 1108 f 1332 1557 1558 1333 f 1557 1782 1783 1558 f 1782 2007 2008 1783 f 2007 2232 2233 2008 f 2232 2457 2458 2233 f 2457 2682 2683 2458 f 2682 2907 2908 2683 f 2907 3132 3133 2908 f 3132 3357 3358 3133 f 3357 3582 3583 3358 f 3582 3807 3808 3583 f 3807 4032 4033 3808 f 4032 4257 4258 4033 f 4257 4482 4483 4258 f 4482 4707 4708 4483 f 208 433 434 209 f 433 658 659 434 f 658 883 884 659 f 883 1108 1109 884 f 1108 1333 1334 1109 f 1333 1558 1559 1334 f 1558 1783 1784 1559 f 1783 2008 2009 1784 f 2008 2233 2234 2009 f 2233 2458 2459 2234 f 2458 2683 2684 2459 f 2683 2908 2909 2684 f 2908 3133 3134 2909 f 3133 3358 3359 3134 f 3358 3583 3584 3359 f 3583 3808 3809 3584 f 3808 4033 4034 3809 f 4033 4258 4259 4034 f 4258 4483 4484 4259 f 4483 4708 4709 4484 f 209 434 435 210 f 434 659 660 435 f 659 884 885 660 f 884 1109 1110 885 f 1109 1334 1335 1110 f 1334 1559 1560 1335 f 1559 1784 1785 1560 f 1784 2009 2010 1785 f 2009 2234 2235 2010 f 2234 2459 2460 2235 f 2459 2684 2685 2460 f 2684 2909 2910 2685 f 2909 3134 3135 2910 f 3134 3359 3360 3135 f 3359 3584 3585 3360 f 3584 3809 3810 3585 f 3809 4034 4035 3810 f 4034 4259 4260 4035 f 4259 4484 4485 4260 f 4484 4709 4710 4485 f 210 435 436 211 f 435 660 661 436 f 660 885 886 661 f 885 1110 1111 886 f 1110 1335 1336 1111 f 1335 1560 1561 1336 f 1560 1785 1786 1561 f 1785 2010 2011 1786 f 2010 2235 2236 2011 f 2235 2460 2461 2236 f 2460 2685 2686 2461 f 2685 2910 2911 2686 f 2910 3135 3136 2911 f 3135 3360 3361 3136 f 3360 3585 3586 3361 f 3585 3810 3811 3586 f 3810 4035 4036 3811 f 4035 4260 4261 4036 f 4260 4485 4486 4261 f 4485 4710 4711 4486 f 211 436 437 212 f 436 661 662 437 f 661 886 887 662 f 886 1111 1112 887 f 1111 1336 1337 1112 f 1336 1561 1562 1337 f 1561 1786 1787 1562 f 1786 2011 2012 1787 f 2011 2236 2237 2012 f 2236 2461 2462 2237 f 2461 2686 2687 2462 f 2686 2911 2912 2687 f 2911 3136 3137 2912 f 3136 3361 3362 3137 f 3361 3586 3587 3362 f 3586 3811 3812 3587 f 3811 4036 4037 3812 f 4036 4261 4262 4037 f 4261 4486 4487 4262 f 4486 4711 4712 4487 f 212 437 438 213 f 437 662 663 438 f 662 887 888 663 f 887 1112 1113 888 f 1112 1337 1338 1113 f 1337 1562 1563 1338 f 1562 1787 1788 1563 f 1787 2012 2013 1788 f 2012 2237 2238 2013 f 2237 2462 2463 2238 f 2462 2687 2688 2463 f 2687 2912 2913 2688 f 2912 3137 3138 2913 f 3137 3362 3363 3138 f 3362 3587 3588 3363 f 3587 3812 3813 3588 f 3812 4037 4038 3813 f 4037 4262 4263 4038 f 4262 4487 4488 4263 f 4487 4712 4713 4488 f 213 438 439 214 f 438 663 664 439 f 663 888 889 664 f 888 1113 1114 889 f 1113 1338 1339 1114 f 1338 1563 1564 1339 f 1563 1788 1789 1564 f 1788 2013 2014 1789 f 2013 2238 2239 2014 f 2238 2463 2464 2239 f 2463 2688 2689 2464 f 2688 2913 2914 2689 f 2913 3138 3139 2914 f 3138 3363 3364 3139 f 3363 3588 3589 3364 f 3588 3813 3814 3589 f 3813 4038 4039 3814 f 4038 4263 4264 4039 f 4263 4488 4489 4264 f 4488 4713 4714 4489 f 214 439 440 215 f 439 664 665 440 f 664 889 890 665 f 889 1114 1115 890 f 1114 1339 1340 1115 f 1339 1564 1565 1340 f 1564 1789 1790 1565 f 1789 2014 2015 1790 f 2014 2239 2240 2015 f 2239 2464 2465 2240 f 2464 2689 2690 2465 f 2689 2914 2915 2690 f 2914 3139 3140 2915 f 3139 3364 3365 3140 f 3364 3589 3590 3365 f 3589 3814 3815 3590 f 3814 4039 4040 3815 f 4039 4264 4265 4040 f 4264 4489 4490 4265 f 4489 4714 4715 4490 f 215 440 441 216 f 440 665 666 441 f 665 890 891 666 f 890 1115 1116 891 f 1115 1340 1341 1116 f 1340 1565 1566 1341 f 1565 1790 1791 1566 f 1790 2015 2016 1791 f 2015 2240 2241 2016 f 2240 2465 2466 2241 f 2465 2690 2691 2466 f 2690 2915 2916 2691 f 2915 3140 3141 2916 f 3140 3365 3366 3141 f 3365 3590 3591 3366 f 3590 3815 3816 3591 f 3815 4040 4041 3816 f 4040 4265 4266 4041 f 4265 4490 4491 4266 f 4490 4715 4716 4491 f 216 441 442 217 f 441 666 667 442 f 666 891 892 667 f 891 1116 1117 892 f 1116 1341 1342 1117 f 1341 1566 1567 1342 f 1566 1791 1792 1567 f 1791 2016 2017 1792 f 2016 2241 2242 2017 f 2241 2466 2467 2242 f 2466 2691 2692 2467 f 2691 2916 2917 2692 f 2916 3141 3142 2917 f 3141 3366 3367 3142 f 3366 3591 3592 3367 f 3591 3816 3817 3592 f 3816 4041 4042 3817 f 4041 4266 4267 4042 f 4266 4491 4492 4267 f 4491 4716 4717 4492 f 217 442 443 218 f 442 667 668 443 f 667 892 893 668 f 892 1117 1118 893 f 1117 1342 1343 1118 f 1342 1567 1568 1343 f 1567 1792 1793 1568 f 1792 2017 2018 1793 f 2017 2242 2243 2018 f 2242 2467 2468 2243 f 2467 2692 2693 2468 f 2692 2917 2918 2693 f 2917 3142 3143 2918 f 3142 3367 3368 3143 f 3367 3592 3593 3368 f 3592 3817 3818 3593 f 3817 4042 4043 3818 f 4042 4267 4268 4043 f 4267 4492 4493 4268 f 4492 4717 4718 4493 f 218 443 444 219 f 443 668 669 444 f 668 893 894 669 f 893 1118 1119 894 f 1118 1343 1344 1119 f 1343 1568 1569 1344 f 1568 1793 1794 1569 f 1793 2018 2019 1794 f 2018 2243 2244 2019 f 2243 2468 2469 2244 f 2468 2693 2694 2469 f 2693 2918 2919 2694 f 2918 3143 3144 2919 f 3143 3368 3369 3144 f 3368 3593 3594 3369 f 3593 3818 3819 3594 f 3818 4043 4044 3819 f 4043 4268 4269 4044 f 4268 4493 4494 4269 f 4493 4718 4719 4494 f 219 444 445 220 f 444 669 670 445 f 669 894 895 670 f 894 1119 1120 895 f 1119 1344 1345 1120 f 1344 1569 1570 1345 f 1569 1794 1795 1570 f 1794 2019 2020 1795 f 2019 2244 2245 2020 f 2244 2469 2470 2245 f 2469 2694 2695 2470 f 2694 2919 2920 2695 f 2919 3144 3145 2920 f 3144 3369 3370 3145 f 3369 3594 3595 3370 f 3594 3819 3820 3595 f 3819 4044 4045 3820 f 4044 4269 4270 4045 f 4269 4494 4495 4270 f 4494 4719 4720 4495 f 220 445 446 221 f 445 670 671 446 f 670 895 896 671 f 895 1120 1121 896 f 1120 1345 1346 1121 f 1345 1570 1571 1346 f 1570 1795 1796 1571 f 1795 2020 2021 1796 f 2020 2245 2246 2021 f 2245 2470 2471 2246 f 2470 2695 2696 2471 f 2695 2920 2921 2696 f 2920 3145 3146 2921 f 3145 3370 3371 3146 f 3370 3595 3596 3371 f 3595 3820 3821 3596 f 3820 4045 4046 3821 f 4045 4270 4271 4046 f 4270 4495 4496 4271 f 4495 4720 4721 4496 f 221 446 447 222 f 446 671 672 447 f 671 896 897 672 f 896 1121 1122 897 f 1121 1346 1347 1122 f 1346 1571 1572 1347 f 1571 1796 1797 1572 f 1796 2021 2022 1797 f 2021 2246 2247 2022 f 2246 2471 2472 2247 f 2471 2696 2697 2472 f 2696 2921 2922 2697 f 2921 3146 3147 2922 f 3146 3371 3372 3147 f 3371 3596 3597 3372 f 3596 3821 3822 3597 f 3821 4046 4047 3822 f 4046 4271 4272 4047 f 4271 4496 4497 4272 f 4496 4721 4722 4497 f 222 447 448 223 f 447 672 673 448 f 672 897 898 673 f 897 1122 1123 898 f 1122 1347 1348 1123 f 1347 1572 1573 1348 f 1572 1797 1798 1573 f 1797 2022 2023 1798 f 2022 2247 2248 2023 f 2247 2472 2473 2248 f 2472 2697 2698 2473 f 2697 2922 2923 2698 f 2922 3147 3148 2923 f 3147 3372 3373 3148 f 3372 3597 3598 3373 f 3597 3822 3823 3598 f 3822 4047 4048 3823 f 4047 4272 4273 4048 f 4272 4497 4498 4273 f 4497 4722 4723 4498 f 223 448 449 224 f 448 673 674 449 f 673 898 899 674 f 898 1123 1124 899 f 1123 1348 1349 1124 f 1348 1573 1574 1349 f 1573 1798 1799 1574 f 1798 2023 2024 1799 f 2023 2248 2249 2024 f 2248 2473 2474 2249 f 2473 2698 2699 2474 f 2698 2923 2924 2699 f 2923 3148 3149 2924 f 3148 3373 3374 3149 f 3373 3598 3599 3374 f 3598 3823 3824 3599 f 3823 4048 4049 3824 f 4048 4273 4274 4049 f 4273 4498 4499 4274 f 4498 4723 4724 4499 f 224 449 450 225 f 449 674 675 450 f 674 899 900 675 f 899 1124 1125 900 f 1124 1349 1350 1125 f 1349 1574 1575 1350 f 1574 1799 1800 1575 f 1799 2024 2025 1800 f 2024 2249 2250 2025 f 2249 2474 2475 2250 f 2474 2699 2700 2475 f 2699 2924 2925 2700 f 2924 3149 3150 2925 f 3149 3374 3375 3150 f 3374 3599 3600 3375 f 3599 3824 3825 3600 f 3824 4049 4050 3825 f 4049 4274 4275 4050 f 4274 4499 4500 4275 f 4499 4724 4725 4500 f 4725 4728 4729 4500 f 4728 4772 4773 4729 f 4772 4816 4817 4773 f 4816 4860 4861 4817 f 4860 4904 4905 4861 f 4904 4948 4949 4905 f 4948 4992 4993 4949 f 4992 5036 5037 4993 f 5036 5080 5081 5037 f 5080 5124 5125 5081 f 5124 5168 5169 5125 f 5168 5212 5213 5169 f 5212 5256 5257 5213 f 5256 5300 5301 5257 f 5300 5344 5345 5301 f 5344 5388 5389 5345 f 5388 5432 5433 5389 f 5432 5476 5477 5433 f 5476 5520 5521 5477 f 5520 5564 5565 5521 f 4500 4729 4730 4275 f 4729 4773 4774 4730 f 4773 4817 4818 4774 f 4817 4861 4862 4818 f 4861 4905 4906 4862 f 4905 4949 4950 4906 f 4949 4993 4994 4950 f 4993 5037 5038 4994 f 5037 5081 5082 5038 f 5081 5125 5126 5082 f 5125 5169 5170 5126 f 5169 5213 5214 5170 f 5213 5257 5258 5214 f 5257 5301 5302 5258 f 5301 5345 5346 5302 f 5345 5389 5390 5346 f 5389 5433 5434 5390 f 5433 5477 5478 5434 f 5477 5521 5522 5478 f 5521 5565 5566 5522 f 4275 4730 4731 4050 f 4730 4774 4775 4731 f 4774 4818 4819 4775 f 4818 4862 4863 4819 f 4862 4906 4907 4863 f 4906 4950 4951 4907 f 4950 4994 4995 4951 f 4994 5038 5039 4995 f 5038 5082 5083 5039 f 5082 5126 5127 5083 f 5126 5170 5171 5127 f 5170 5214 5215 5171 f 5214 5258 5259 5215 f 5258 5302 5303 5259 f 5302 5346 5347 5303 f 5346 5390 5391 5347 f 5390 5434 5435 5391 f 5434 5478 5479 5435 f 5478 5522 5523 5479 f 5522 5566 5567 5523 f 4050 4731 4732 3825 f 4731 4775 4776 4732 f 4775 4819 4820 4776 f 4819 4863 4864 4820 f 4863 4907 4908 4864 f 4907 4951 4952 4908 f 4951 4995 4996 4952 f 4995 5039 5040 4996 f 5039 5083 5084 5040 f 5083 5127 5128 5084 f 5127 5171 5172 5128 f 5171 5215 5216 5172 f 5215 5259 5260 5216 f 5259 5303 5304 5260 f 5303 5347 5348 5304 f 5347 5391 5392 5348 f 5391 5435 5436 5392 f 5435 5479 5480 5436 f 5479 5523 5524 5480 f 5523 5567 5568 5524 f 3825 4732 4733 3600 f 4732 4776 4777 4733 f 4776 4820 4821 4777 f 4820 4864 4865 4821 f 4864 4908 4909 4865 f 4908 4952 4953 4909 f 4952 4996 4997 4953 f 4996 5040 5041 4997 f 5040 5084 5085 5041 f 5084 5128 5129 5085 f 5128 5172 5173 5129 f 5172 5216 5217 5173 f 5216 5260 5261 5217 f 5260 5304 5305 5261 f 5304 5348 5349 5305 f 5348 5392 5393 5349 f 5392 5436 5437 5393 f 5436 5480 5481 5437 f 5480 5524 5525 5481 f 5524 5568 5569 5525 f 3600 4733 4734 3375 f 4733 4777 4778 4734 f 4777 4821 4822 4778 f 4821 4865 4866 4822 f 4865 4909 4910 4866 f 4909 4953 4954 4910 f 4953 4997 4998 4954 f 4997 5041 5042 4998 f 5041 5085 5086 5042 f 5085 5129 5130 5086 f 5129 5173 5174 5130 f 5173 5217 5218 5174 f 5217 5261 5262 5218 f 5261 5305 5306 5262 f 5305 5349 5350 5306 f 5349 5393 5394 5350 f 5393 5437 5438 5394 f 5437 5481 5482 5438 f 5481 5525 5526 5482 f 5525 5569 5570 5526 f 3375 4734 4735 3150 f 4734 4778 4779 4735 f 4778 4822 4823 4779 f 4822 4866 4867 4823 f 4866 4910 4911 4867 f 4910 4954 4955 4911 f 4954 4998 4999 4955 f 4998 5042 5043 4999 f 5042 5086 5087 5043 f 5086 5130 5131 5087 f 5130 5174 5175 5131 f 5174 5218 5219 5175 f 5218 5262 5263 5219 f 5262 5306 5307 5263 f 5306 5350 5351 5307 f 5350 5394 5395 5351 f 5394 5438 5439 5395 f 5438 5482 5483 5439 f 5482 5526 5527 5483 f 5526 5570 5571 5527 f 3150 4735 4736 2925 f 4735 4779 4780 4736 f 4779 4823 4824 4780 f 4823 4867 4868 4824 f 4867 4911 4912 4868 f 4911 4955 4956 4912 f 4955 4999 5000 4956 f 4999 5043 5044 5000 f 5043 5087 5088 5044 f 5087 5131 5132 5088 f 5131 5175 5176 5132 f 5175 5219 5220 5176 f 5219 5263 5264 5220 f 5263 5307 5308 5264 f 5307 5351 5352 5308 f 5351 5395 5396 5352 f 5395 5439 5440 5396 f 5439 5483 5484 5440 f 5483 5527 5528 5484 f 5527 5571 5572 5528 f 2925 4736 4737 2700 f 4736 4780 4781 4737 f 4780 4824 4825 4781 f 4824 4868 4869 4825 f 4868 4912 4913 4869 f 4912 4956 4957 4913 f 4956 5000 5001 4957 f 5000 5044 5045 5001 f 5044 5088 5089 5045 f 5088 5132 5133 5089 f 5132 5176 5177 5133 f 5176 5220 5221 5177 f 5220 5264 5265 5221 f 5264 5308 5309 5265 f 5308 5352 5353 5309 f 5352 5396 5397 5353 f 5396 5440 5441 5397 f 5440 5484 5485 5441 f 5484 5528 5529 5485 f 5528 5572 5573 5529 f 2700 4737 4738 2475 f 4737 4781 4782 4738 f 4781 4825 4826 4782 f 4825 4869 4870 4826 f 4869 4913 4914 4870 f 4913 4957 4958 4914 f 4957 5001 5002 4958 f 5001 5045 5046 5002 f 5045 5089 5090 5046 f 5089 5133 5134 5090 f 5133 5177 5178 5134 f 5177 5221 5222 5178 f 5221 5265 5266 5222 f 5265 5309 5310 5266 f 5309 5353 5354 5310 f 5353 5397 5398 5354 f 5397 5441 5442 5398 f 5441 5485 5486 5442 f 5485 5529 5530 5486 f 5529 5573 5574 5530 f 2475 4738 4739 2250 f 4738 4782 4783 4739 f 4782 4826 4827 4783 f 4826 4870 4871 4827 f 4870 4914 4915 4871 f 4914 4958 4959 4915 f 4958 5002 5003 4959 f 5002 5046 5047 5003 f 5046 5090 5091 5047 f 5090 5134 5135 5091 f 5134 5178 5179 5135 f 5178 5222 5223 5179 f 5222 5266 5267 5223 f 5266 5310 5311 5267 f 5310 5354 5355 5311 f 5354 5398 5399 5355 f 5398 5442 5443 5399 f 5442 5486 5487 5443 f 5486 5530 5531 5487 f 5530 5574 5575 5531 f 2250 4739 4740 2025 f 4739 4783 4784 4740 f 4783 4827 4828 4784 f 4827 4871 4872 4828 f 4871 4915 4916 4872 f 4915 4959 4960 4916 f 4959 5003 5004 4960 f 5003 5047 5048 5004 f 5047 5091 5092 5048 f 5091 5135 5136 5092 f 5135 5179 5180 5136 f 5179 5223 5224 5180 f 5223 5267 5268 5224 f 5267 5311 5312 5268 f 5311 5355 5356 5312 f 5355 5399 5400 5356 f 5399 5443 5444 5400 f 5443 5487 5488 5444 f 5487 5531 5532 5488 f 5531 5575 5576 5532 f 2025 4740 4741 1800 f 4740 4784 4785 4741 f 4784 4828 4829 4785 f 4828 4872 4873 4829 f 4872 4916 4917 4873 f 4916 4960 4961 4917 f 4960 5004 5005 4961 f 5004 5048 5049 5005 f 5048 5092 5093 5049 f 5092 5136 5137 5093 f 5136 5180 5181 5137 f 5180 5224 5225 5181 f 5224 5268 5269 5225 f 5268 5312 5313 5269 f 5312 5356 5357 5313 f 5356 5400 5401 5357 f 5400 5444 5445 5401 f 5444 5488 5489 5445 f 5488 5532 5533 5489 f 5532 5576 5577 5533 f 1800 4741 4742 1575 f 4741 4785 4786 4742 f 4785 4829 4830 4786 f 4829 4873 4874 4830 f 4873 4917 4918 4874 f 4917 4961 4962 4918 f 4961 5005 5006 4962 f 5005 5049 5050 5006 f 5049 5093 5094 5050 f 5093 5137 5138 5094 f 5137 5181 5182 5138 f 5181 5225 5226 5182 f 5225 5269 5270 5226 f 5269 5313 5314 5270 f 5313 5357 5358 5314 f 5357 5401 5402 5358 f 5401 5445 5446 5402 f 5445 5489 5490 5446 f 5489 5533 5534 5490 f 5533 5577 5578 5534 f 1575 4742 4743 1350 f 4742 4786 4787 4743 f 4786 4830 4831 4787 f 4830 4874 4875 4831 f 4874 4918 4919 4875 f 4918 4962 4963 4919 f 4962 5006 5007 4963 f 5006 5050 5051 5007 f 5050 5094 5095 5051 f 5094 5138 5139 5095 f 5138 5182 5183 5139 f 5182 5226 5227 5183 f 5226 5270 5271 5227 f 5270 5314 5315 5271 f 5314 5358 5359 5315 f 5358 5402 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f 6139 6404 6405 6140 f 6404 6669 6670 6405 f 6669 6934 6935 6670 f 6934 7199 7200 6935 f 7199 7464 7465 7200 f 7464 7729 7730 7465 f 7729 7994 7995 7730 f 7994 8259 8260 7995 f 8259 8524 8525 8260 f 8524 8789 8790 8525 f 8789 9054 9055 8790 f 9054 9319 9320 9055 f 9319 9584 9585 9320 f 9584 9849 9850 9585 f 9849 10114 10115 9850 f 10114 10379 10380 10115 f 10379 10644 10645 10380 f 10644 10909 10910 10645 f 10909 11174 11175 10910 f 11174 11439 11440 11175 f 11439 11704 11705 11440 f 11704 11969 11970 11705 f 11969 12234 12235 11970 f 12234 12499 12500 12235 f 12499 12764 12765 12500 f 12764 13029 13030 12765 f 13029 13294 13295 13030 f 13294 13559 13560 13295 f 13559 13824 13825 13560 f 13824 14089 14090 13825 f 14089 14354 14355 14090 f 14354 14619 14620 14355 f 14619 14884 14885 14620 f 14884 15149 15150 14885 f 15149 15414 15415 15150 f 15414 15679 15680 15415 f 15679 15944 15945 15680 f 15944 16209 16210 15945 f 16209 16474 16475 16210 f 16474 16739 16740 16475 f 16739 17004 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f 27074 27339 27340 27075 f 27339 27604 27605 27340 f 27604 27869 27870 27605 f 27869 28134 28135 27870 f 28134 28399 28400 28135 f 28399 28664 28665 28400 f 28664 28929 28930 28665 f 28929 29194 29195 28930 f 29194 29459 29460 29195 f 29459 29724 29725 29460 f 29724 29989 29990 29725 f 29989 30254 30255 29990 f 30254 30519 30520 30255 f 30519 30784 30785 30520 f 30784 31049 31050 30785 f 31049 31314 31315 31050 f 31314 31579 31580 31315 f 31579 31844 31845 31580 f 5519 5610 5611 5475 f 5610 5875 5876 5611 f 5875 6140 6141 5876 f 6140 6405 6406 6141 f 6405 6670 6671 6406 f 6670 6935 6936 6671 f 6935 7200 7201 6936 f 7200 7465 7466 7201 f 7465 7730 7731 7466 f 7730 7995 7996 7731 f 7995 8260 8261 7996 f 8260 8525 8526 8261 f 8525 8790 8791 8526 f 8790 9055 9056 8791 f 9055 9320 9321 9056 f 9320 9585 9586 9321 f 9585 9850 9851 9586 f 9850 10115 10116 9851 f 10115 10380 10381 10116 f 10380 10645 10646 10381 f 10645 10910 10911 10646 f 10910 11175 11176 10911 f 11175 11440 11441 11176 f 11440 11705 11706 11441 f 11705 11970 11971 11706 f 11970 12235 12236 11971 f 12235 12500 12501 12236 f 12500 12765 12766 12501 f 12765 13030 13031 12766 f 13030 13295 13296 13031 f 13295 13560 13561 13296 f 13560 13825 13826 13561 f 13825 14090 14091 13826 f 14090 14355 14356 14091 f 14355 14620 14621 14356 f 14620 14885 14886 14621 f 14885 15150 15151 14886 f 15150 15415 15416 15151 f 15415 15680 15681 15416 f 15680 15945 15946 15681 f 15945 16210 16211 15946 f 16210 16475 16476 16211 f 16475 16740 16741 16476 f 16740 17005 17006 16741 f 17005 17270 17271 17006 f 17270 17535 17536 17271 f 17535 17800 17801 17536 f 17800 18065 18066 17801 f 18065 18330 18331 18066 f 18330 18595 18596 18331 f 18595 18860 18861 18596 f 18860 19125 19126 18861 f 19125 19390 19391 19126 f 19390 19655 19656 19391 f 19655 19920 19921 19656 f 19920 20185 20186 19921 f 20185 20450 20451 20186 f 20450 20715 20716 20451 f 20715 20980 20981 20716 f 20980 21245 21246 20981 f 21245 21510 21511 21246 f 21510 21775 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f 5475 5611 5612 5431 f 5611 5876 5877 5612 f 5876 6141 6142 5877 f 6141 6406 6407 6142 f 6406 6671 6672 6407 f 6671 6936 6937 6672 f 6936 7201 7202 6937 f 7201 7466 7467 7202 f 7466 7731 7732 7467 f 7731 7996 7997 7732 f 7996 8261 8262 7997 f 8261 8526 8527 8262 f 8526 8791 8792 8527 f 8791 9056 9057 8792 f 9056 9321 9322 9057 f 9321 9586 9587 9322 f 9586 9851 9852 9587 f 9851 10116 10117 9852 f 10116 10381 10382 10117 f 10381 10646 10647 10382 f 10646 10911 10912 10647 f 10911 11176 11177 10912 f 11176 11441 11442 11177 f 11441 11706 11707 11442 f 11706 11971 11972 11707 f 11971 12236 12237 11972 f 12236 12501 12502 12237 f 12501 12766 12767 12502 f 12766 13031 13032 12767 f 13031 13296 13297 13032 f 13296 13561 13562 13297 f 13561 13826 13827 13562 f 13826 14091 14092 13827 f 14091 14356 14357 14092 f 14356 14621 14622 14357 f 14621 14886 14887 14622 f 14886 15151 15152 14887 f 15151 15416 15417 15152 f 15416 15681 15682 15417 f 15681 15946 15947 15682 f 15946 16211 16212 15947 f 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9855 f 10119 10384 10385 10120 f 10384 10649 10650 10385 f 10649 10914 10915 10650 f 10914 11179 11180 10915 f 11179 11444 11445 11180 f 11444 11709 11710 11445 f 11709 11974 11975 11710 f 11974 12239 12240 11975 f 12239 12504 12505 12240 f 12504 12769 12770 12505 f 12769 13034 13035 12770 f 13034 13299 13300 13035 f 13299 13564 13565 13300 f 13564 13829 13830 13565 f 13829 14094 14095 13830 f 14094 14359 14360 14095 f 14359 14624 14625 14360 f 14624 14889 14890 14625 f 14889 15154 15155 14890 f 15154 15419 15420 15155 f 15419 15684 15685 15420 f 15684 15949 15950 15685 f 15949 16214 16215 15950 f 16214 16479 16480 16215 f 16479 16744 16745 16480 f 16744 17009 17010 16745 f 17009 17274 17275 17010 f 17274 17539 17540 17275 f 17539 17804 17805 17540 f 17804 18069 18070 17805 f 18069 18334 18335 18070 f 18334 18599 18600 18335 f 18599 18864 18865 18600 f 18864 19129 19130 18865 f 19129 19394 19395 19130 f 19394 19659 19660 19395 f 19659 19924 19925 19660 f 19924 20189 20190 19925 f 20189 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24960 25225 25226 24961 f 25225 25490 25491 25226 f 25490 25755 25756 25491 f 25755 26020 26021 25756 f 26020 26285 26286 26021 f 26285 26550 26551 26286 f 26550 26815 26816 26551 f 26815 27080 27081 26816 f 27080 27345 27346 27081 f 27345 27610 27611 27346 f 27610 27875 27876 27611 f 27875 28140 28141 27876 f 28140 28405 28406 28141 f 28405 28670 28671 28406 f 28670 28935 28936 28671 f 28935 29200 29201 28936 f 29200 29465 29466 29201 f 29465 29730 29731 29466 f 29730 29995 29996 29731 f 29995 30260 30261 29996 f 30260 30525 30526 30261 f 30525 30790 30791 30526 f 30790 31055 31056 30791 f 31055 31320 31321 31056 f 31320 31585 31586 31321 f 31585 31850 31851 31586 f 5255 5616 5617 5211 f 5616 5881 5882 5617 f 5881 6146 6147 5882 f 6146 6411 6412 6147 f 6411 6676 6677 6412 f 6676 6941 6942 6677 f 6941 7206 7207 6942 f 7206 7471 7472 7207 f 7471 7736 7737 7472 f 7736 8001 8002 7737 f 8001 8266 8267 8002 f 8266 8531 8532 8267 f 8531 8796 8797 8532 f 8796 9061 9062 8797 f 9061 9326 9327 9062 f 9326 9591 9592 9327 f 9591 9856 9857 9592 f 9856 10121 10122 9857 f 10121 10386 10387 10122 f 10386 10651 10652 10387 f 10651 10916 10917 10652 f 10916 11181 11182 10917 f 11181 11446 11447 11182 f 11446 11711 11712 11447 f 11711 11976 11977 11712 f 11976 12241 12242 11977 f 12241 12506 12507 12242 f 12506 12771 12772 12507 f 12771 13036 13037 12772 f 13036 13301 13302 13037 f 13301 13566 13567 13302 f 13566 13831 13832 13567 f 13831 14096 14097 13832 f 14096 14361 14362 14097 f 14361 14626 14627 14362 f 14626 14891 14892 14627 f 14891 15156 15157 14892 f 15156 15421 15422 15157 f 15421 15686 15687 15422 f 15686 15951 15952 15687 f 15951 16216 16217 15952 f 16216 16481 16482 16217 f 16481 16746 16747 16482 f 16746 17011 17012 16747 f 17011 17276 17277 17012 f 17276 17541 17542 17277 f 17541 17806 17807 17542 f 17806 18071 18072 17807 f 18071 18336 18337 18072 f 18336 18601 18602 18337 f 18601 18866 18867 18602 f 18866 19131 19132 18867 f 19131 19396 19397 19132 f 19396 19661 19662 19397 f 19661 19926 19927 19662 f 19926 20191 20192 19927 f 20191 20456 20457 20192 f 20456 20721 20722 20457 f 20721 20986 20987 20722 f 20986 21251 21252 20987 f 21251 21516 21517 21252 f 21516 21781 21782 21517 f 21781 22046 22047 21782 f 22046 22311 22312 22047 f 22311 22576 22577 22312 f 22576 22841 22842 22577 f 22841 23106 23107 22842 f 23106 23371 23372 23107 f 23371 23636 23637 23372 f 23636 23901 23902 23637 f 23901 24166 24167 23902 f 24166 24431 24432 24167 f 24431 24696 24697 24432 f 24696 24961 24962 24697 f 24961 25226 25227 24962 f 25226 25491 25492 25227 f 25491 25756 25757 25492 f 25756 26021 26022 25757 f 26021 26286 26287 26022 f 26286 26551 26552 26287 f 26551 26816 26817 26552 f 26816 27081 27082 26817 f 27081 27346 27347 27082 f 27346 27611 27612 27347 f 27611 27876 27877 27612 f 27876 28141 28142 27877 f 28141 28406 28407 28142 f 28406 28671 28672 28407 f 28671 28936 28937 28672 f 28936 29201 29202 28937 f 29201 29466 29467 29202 f 29466 29731 29732 29467 f 29731 29996 29997 29732 f 29996 30261 30262 29997 f 30261 30526 30527 30262 f 30526 30791 30792 30527 f 30791 31056 31057 30792 f 31056 31321 31322 31057 f 31321 31586 31587 31322 f 31586 31851 31852 31587 f 5211 5617 5618 5167 f 5617 5882 5883 5618 f 5882 6147 6148 5883 f 6147 6412 6413 6148 f 6412 6677 6678 6413 f 6677 6942 6943 6678 f 6942 7207 7208 6943 f 7207 7472 7473 7208 f 7472 7737 7738 7473 f 7737 8002 8003 7738 f 8002 8267 8268 8003 f 8267 8532 8533 8268 f 8532 8797 8798 8533 f 8797 9062 9063 8798 f 9062 9327 9328 9063 f 9327 9592 9593 9328 f 9592 9857 9858 9593 f 9857 10122 10123 9858 f 10122 10387 10388 10123 f 10387 10652 10653 10388 f 10652 10917 10918 10653 f 10917 11182 11183 10918 f 11182 11447 11448 11183 f 11447 11712 11713 11448 f 11712 11977 11978 11713 f 11977 12242 12243 11978 f 12242 12507 12508 12243 f 12507 12772 12773 12508 f 12772 13037 13038 12773 f 13037 13302 13303 13038 f 13302 13567 13568 13303 f 13567 13832 13833 13568 f 13832 14097 14098 13833 f 14097 14362 14363 14098 f 14362 14627 14628 14363 f 14627 14892 14893 14628 f 14892 15157 15158 14893 f 15157 15422 15423 15158 f 15422 15687 15688 15423 f 15687 15952 15953 15688 f 15952 16217 16218 15953 f 16217 16482 16483 16218 f 16482 16747 16748 16483 f 16747 17012 17013 16748 f 17012 17277 17278 17013 f 17277 17542 17543 17278 f 17542 17807 17808 17543 f 17807 18072 18073 17808 f 18072 18337 18338 18073 f 18337 18602 18603 18338 f 18602 18867 18868 18603 f 18867 19132 19133 18868 f 19132 19397 19398 19133 f 19397 19662 19663 19398 f 19662 19927 19928 19663 f 19927 20192 20193 19928 f 20192 20457 20458 20193 f 20457 20722 20723 20458 f 20722 20987 20988 20723 f 20987 21252 21253 20988 f 21252 21517 21518 21253 f 21517 21782 21783 21518 f 21782 22047 22048 21783 f 22047 22312 22313 22048 f 22312 22577 22578 22313 f 22577 22842 22843 22578 f 22842 23107 23108 22843 f 23107 23372 23373 23108 f 23372 23637 23638 23373 f 23637 23902 23903 23638 f 23902 24167 24168 23903 f 24167 24432 24433 24168 f 24432 24697 24698 24433 f 24697 24962 24963 24698 f 24962 25227 25228 24963 f 25227 25492 25493 25228 f 25492 25757 25758 25493 f 25757 26022 26023 25758 f 26022 26287 26288 26023 f 26287 26552 26553 26288 f 26552 26817 26818 26553 f 26817 27082 27083 26818 f 27082 27347 27348 27083 f 27347 27612 27613 27348 f 27612 27877 27878 27613 f 27877 28142 28143 27878 f 28142 28407 28408 28143 f 28407 28672 28673 28408 f 28672 28937 28938 28673 f 28937 29202 29203 28938 f 29202 29467 29468 29203 f 29467 29732 29733 29468 f 29732 29997 29998 29733 f 29997 30262 30263 29998 f 30262 30527 30528 30263 f 30527 30792 30793 30528 f 30792 31057 31058 30793 f 31057 31322 31323 31058 f 31322 31587 31588 31323 f 31587 31852 31853 31588 f 5167 5618 5619 5123 f 5618 5883 5884 5619 f 5883 6148 6149 5884 f 6148 6413 6414 6149 f 6413 6678 6679 6414 f 6678 6943 6944 6679 f 6943 7208 7209 6944 f 7208 7473 7474 7209 f 7473 7738 7739 7474 f 7738 8003 8004 7739 f 8003 8268 8269 8004 f 8268 8533 8534 8269 f 8533 8798 8799 8534 f 8798 9063 9064 8799 f 9063 9328 9329 9064 f 9328 9593 9594 9329 f 9593 9858 9859 9594 f 9858 10123 10124 9859 f 10123 10388 10389 10124 f 10388 10653 10654 10389 f 10653 10918 10919 10654 f 10918 11183 11184 10919 f 11183 11448 11449 11184 f 11448 11713 11714 11449 f 11713 11978 11979 11714 f 11978 12243 12244 11979 f 12243 12508 12509 12244 f 12508 12773 12774 12509 f 12773 13038 13039 12774 f 13038 13303 13304 13039 f 13303 13568 13569 13304 f 13568 13833 13834 13569 f 13833 14098 14099 13834 f 14098 14363 14364 14099 f 14363 14628 14629 14364 f 14628 14893 14894 14629 f 14893 15158 15159 14894 f 15158 15423 15424 15159 f 15423 15688 15689 15424 f 15688 15953 15954 15689 f 15953 16218 16219 15954 f 16218 16483 16484 16219 f 16483 16748 16749 16484 f 16748 17013 17014 16749 f 17013 17278 17279 17014 f 17278 17543 17544 17279 f 17543 17808 17809 17544 f 17808 18073 18074 17809 f 18073 18338 18339 18074 f 18338 18603 18604 18339 f 18603 18868 18869 18604 f 18868 19133 19134 18869 f 19133 19398 19399 19134 f 19398 19663 19664 19399 f 19663 19928 19929 19664 f 19928 20193 20194 19929 f 20193 20458 20459 20194 f 20458 20723 20724 20459 f 20723 20988 20989 20724 f 20988 21253 21254 20989 f 21253 21518 21519 21254 f 21518 21783 21784 21519 f 21783 22048 22049 21784 f 22048 22313 22314 22049 f 22313 22578 22579 22314 f 22578 22843 22844 22579 f 22843 23108 23109 22844 f 23108 23373 23374 23109 f 23373 23638 23639 23374 f 23638 23903 23904 23639 f 23903 24168 24169 23904 f 24168 24433 24434 24169 f 24433 24698 24699 24434 f 24698 24963 24964 24699 f 24963 25228 25229 24964 f 25228 25493 25494 25229 f 25493 25758 25759 25494 f 25758 26023 26024 25759 f 26023 26288 26289 26024 f 26288 26553 26554 26289 f 26553 26818 26819 26554 f 26818 27083 27084 26819 f 27083 27348 27349 27084 f 27348 27613 27614 27349 f 27613 27878 27879 27614 f 27878 28143 28144 27879 f 28143 28408 28409 28144 f 28408 28673 28674 28409 f 28673 28938 28939 28674 f 28938 29203 29204 28939 f 29203 29468 29469 29204 f 29468 29733 29734 29469 f 29733 29998 29999 29734 f 29998 30263 30264 29999 f 30263 30528 30529 30264 f 30528 30793 30794 30529 f 30793 31058 31059 30794 f 31058 31323 31324 31059 f 31323 31588 31589 31324 f 31588 31853 31854 31589 f 5123 5619 5620 5079 f 5619 5884 5885 5620 f 5884 6149 6150 5885 f 6149 6414 6415 6150 f 6414 6679 6680 6415 f 6679 6944 6945 6680 f 6944 7209 7210 6945 f 7209 7474 7475 7210 f 7474 7739 7740 7475 f 7739 8004 8005 7740 f 8004 8269 8270 8005 f 8269 8534 8535 8270 f 8534 8799 8800 8535 f 8799 9064 9065 8800 f 9064 9329 9330 9065 f 9329 9594 9595 9330 f 9594 9859 9860 9595 f 9859 10124 10125 9860 f 10124 10389 10390 10125 f 10389 10654 10655 10390 f 10654 10919 10920 10655 f 10919 11184 11185 10920 f 11184 11449 11450 11185 f 11449 11714 11715 11450 f 11714 11979 11980 11715 f 11979 12244 12245 11980 f 12244 12509 12510 12245 f 12509 12774 12775 12510 f 12774 13039 13040 12775 f 13039 13304 13305 13040 f 13304 13569 13570 13305 f 13569 13834 13835 13570 f 13834 14099 14100 13835 f 14099 14364 14365 14100 f 14364 14629 14630 14365 f 14629 14894 14895 14630 f 14894 15159 15160 14895 f 15159 15424 15425 15160 f 15424 15689 15690 15425 f 15689 15954 15955 15690 f 15954 16219 16220 15955 f 16219 16484 16485 16220 f 16484 16749 16750 16485 f 16749 17014 17015 16750 f 17014 17279 17280 17015 f 17279 17544 17545 17280 f 17544 17809 17810 17545 f 17809 18074 18075 17810 f 18074 18339 18340 18075 f 18339 18604 18605 18340 f 18604 18869 18870 18605 f 18869 19134 19135 18870 f 19134 19399 19400 19135 f 19399 19664 19665 19400 f 19664 19929 19930 19665 f 19929 20194 20195 19930 f 20194 20459 20460 20195 f 20459 20724 20725 20460 f 20724 20989 20990 20725 f 20989 21254 21255 20990 f 21254 21519 21520 21255 f 21519 21784 21785 21520 f 21784 22049 22050 21785 f 22049 22314 22315 22050 f 22314 22579 22580 22315 f 22579 22844 22845 22580 f 22844 23109 23110 22845 f 23109 23374 23375 23110 f 23374 23639 23640 23375 f 23639 23904 23905 23640 f 23904 24169 24170 23905 f 24169 24434 24435 24170 f 24434 24699 24700 24435 f 24699 24964 24965 24700 f 24964 25229 25230 24965 f 25229 25494 25495 25230 f 25494 25759 25760 25495 f 25759 26024 26025 25760 f 26024 26289 26290 26025 f 26289 26554 26555 26290 f 26554 26819 26820 26555 f 26819 27084 27085 26820 f 27084 27349 27350 27085 f 27349 27614 27615 27350 f 27614 27879 27880 27615 f 27879 28144 28145 27880 f 28144 28409 28410 28145 f 28409 28674 28675 28410 f 28674 28939 28940 28675 f 28939 29204 29205 28940 f 29204 29469 29470 29205 f 29469 29734 29735 29470 f 29734 29999 30000 29735 f 29999 30264 30265 30000 f 30264 30529 30530 30265 f 30529 30794 30795 30530 f 30794 31059 31060 30795 f 31059 31324 31325 31060 f 31324 31589 31590 31325 f 31589 31854 31855 31590 f 5079 5620 5621 5035 f 5620 5885 5886 5621 f 5885 6150 6151 5886 f 6150 6415 6416 6151 f 6415 6680 6681 6416 f 6680 6945 6946 6681 f 6945 7210 7211 6946 f 7210 7475 7476 7211 f 7475 7740 7741 7476 f 7740 8005 8006 7741 f 8005 8270 8271 8006 f 8270 8535 8536 8271 f 8535 8800 8801 8536 f 8800 9065 9066 8801 f 9065 9330 9331 9066 f 9330 9595 9596 9331 f 9595 9860 9861 9596 f 9860 10125 10126 9861 f 10125 10390 10391 10126 f 10390 10655 10656 10391 f 10655 10920 10921 10656 f 10920 11185 11186 10921 f 11185 11450 11451 11186 f 11450 11715 11716 11451 f 11715 11980 11981 11716 f 11980 12245 12246 11981 f 12245 12510 12511 12246 f 12510 12775 12776 12511 f 12775 13040 13041 12776 f 13040 13305 13306 13041 f 13305 13570 13571 13306 f 13570 13835 13836 13571 f 13835 14100 14101 13836 f 14100 14365 14366 14101 f 14365 14630 14631 14366 f 14630 14895 14896 14631 f 14895 15160 15161 14896 f 15160 15425 15426 15161 f 15425 15690 15691 15426 f 15690 15955 15956 15691 f 15955 16220 16221 15956 f 16220 16485 16486 16221 f 16485 16750 16751 16486 f 16750 17015 17016 16751 f 17015 17280 17281 17016 f 17280 17545 17546 17281 f 17545 17810 17811 17546 f 17810 18075 18076 17811 f 18075 18340 18341 18076 f 18340 18605 18606 18341 f 18605 18870 18871 18606 f 18870 19135 19136 18871 f 19135 19400 19401 19136 f 19400 19665 19666 19401 f 19665 19930 19931 19666 f 19930 20195 20196 19931 f 20195 20460 20461 20196 f 20460 20725 20726 20461 f 20725 20990 20991 20726 f 20990 21255 21256 20991 f 21255 21520 21521 21256 f 21520 21785 21786 21521 f 21785 22050 22051 21786 f 22050 22315 22316 22051 f 22315 22580 22581 22316 f 22580 22845 22846 22581 f 22845 23110 23111 22846 f 23110 23375 23376 23111 f 23375 23640 23641 23376 f 23640 23905 23906 23641 f 23905 24170 24171 23906 f 24170 24435 24436 24171 f 24435 24700 24701 24436 f 24700 24965 24966 24701 f 24965 25230 25231 24966 f 25230 25495 25496 25231 f 25495 25760 25761 25496 f 25760 26025 26026 25761 f 26025 26290 26291 26026 f 26290 26555 26556 26291 f 26555 26820 26821 26556 f 26820 27085 27086 26821 f 27085 27350 27351 27086 f 27350 27615 27616 27351 f 27615 27880 27881 27616 f 27880 28145 28146 27881 f 28145 28410 28411 28146 f 28410 28675 28676 28411 f 28675 28940 28941 28676 f 28940 29205 29206 28941 f 29205 29470 29471 29206 f 29470 29735 29736 29471 f 29735 30000 30001 29736 f 30000 30265 30266 30001 f 30265 30530 30531 30266 f 30530 30795 30796 30531 f 30795 31060 31061 30796 f 31060 31325 31326 31061 f 31325 31590 31591 31326 f 31590 31855 31856 31591 f 5035 5621 5622 4991 f 5621 5886 5887 5622 f 5886 6151 6152 5887 f 6151 6416 6417 6152 f 6416 6681 6682 6417 f 6681 6946 6947 6682 f 6946 7211 7212 6947 f 7211 7476 7477 7212 f 7476 7741 7742 7477 f 7741 8006 8007 7742 f 8006 8271 8272 8007 f 8271 8536 8537 8272 f 8536 8801 8802 8537 f 8801 9066 9067 8802 f 9066 9331 9332 9067 f 9331 9596 9597 9332 f 9596 9861 9862 9597 f 9861 10126 10127 9862 f 10126 10391 10392 10127 f 10391 10656 10657 10392 f 10656 10921 10922 10657 f 10921 11186 11187 10922 f 11186 11451 11452 11187 f 11451 11716 11717 11452 f 11716 11981 11982 11717 f 11981 12246 12247 11982 f 12246 12511 12512 12247 f 12511 12776 12777 12512 f 12776 13041 13042 12777 f 13041 13306 13307 13042 f 13306 13571 13572 13307 f 13571 13836 13837 13572 f 13836 14101 14102 13837 f 14101 14366 14367 14102 f 14366 14631 14632 14367 f 14631 14896 14897 14632 f 14896 15161 15162 14897 f 15161 15426 15427 15162 f 15426 15691 15692 15427 f 15691 15956 15957 15692 f 15956 16221 16222 15957 f 16221 16486 16487 16222 f 16486 16751 16752 16487 f 16751 17016 17017 16752 f 17016 17281 17282 17017 f 17281 17546 17547 17282 f 17546 17811 17812 17547 f 17811 18076 18077 17812 f 18076 18341 18342 18077 f 18341 18606 18607 18342 f 18606 18871 18872 18607 f 18871 19136 19137 18872 f 19136 19401 19402 19137 f 19401 19666 19667 19402 f 19666 19931 19932 19667 f 19931 20196 20197 19932 f 20196 20461 20462 20197 f 20461 20726 20727 20462 f 20726 20991 20992 20727 f 20991 21256 21257 20992 f 21256 21521 21522 21257 f 21521 21786 21787 21522 f 21786 22051 22052 21787 f 22051 22316 22317 22052 f 22316 22581 22582 22317 f 22581 22846 22847 22582 f 22846 23111 23112 22847 f 23111 23376 23377 23112 f 23376 23641 23642 23377 f 23641 23906 23907 23642 f 23906 24171 24172 23907 f 24171 24436 24437 24172 f 24436 24701 24702 24437 f 24701 24966 24967 24702 f 24966 25231 25232 24967 f 25231 25496 25497 25232 f 25496 25761 25762 25497 f 25761 26026 26027 25762 f 26026 26291 26292 26027 f 26291 26556 26557 26292 f 26556 26821 26822 26557 f 26821 27086 27087 26822 f 27086 27351 27352 27087 f 27351 27616 27617 27352 f 27616 27881 27882 27617 f 27881 28146 28147 27882 f 28146 28411 28412 28147 f 28411 28676 28677 28412 f 28676 28941 28942 28677 f 28941 29206 29207 28942 f 29206 29471 29472 29207 f 29471 29736 29737 29472 f 29736 30001 30002 29737 f 30001 30266 30267 30002 f 30266 30531 30532 30267 f 30531 30796 30797 30532 f 30796 31061 31062 30797 f 31061 31326 31327 31062 f 31326 31591 31592 31327 f 31591 31856 31857 31592 f 4991 5622 5623 4947 f 5622 5887 5888 5623 f 5887 6152 6153 5888 f 6152 6417 6418 6153 f 6417 6682 6683 6418 f 6682 6947 6948 6683 f 6947 7212 7213 6948 f 7212 7477 7478 7213 f 7477 7742 7743 7478 f 7742 8007 8008 7743 f 8007 8272 8273 8008 f 8272 8537 8538 8273 f 8537 8802 8803 8538 f 8802 9067 9068 8803 f 9067 9332 9333 9068 f 9332 9597 9598 9333 f 9597 9862 9863 9598 f 9862 10127 10128 9863 f 10127 10392 10393 10128 f 10392 10657 10658 10393 f 10657 10922 10923 10658 f 10922 11187 11188 10923 f 11187 11452 11453 11188 f 11452 11717 11718 11453 f 11717 11982 11983 11718 f 11982 12247 12248 11983 f 12247 12512 12513 12248 f 12512 12777 12778 12513 f 12777 13042 13043 12778 f 13042 13307 13308 13043 f 13307 13572 13573 13308 f 13572 13837 13838 13573 f 13837 14102 14103 13838 f 14102 14367 14368 14103 f 14367 14632 14633 14368 f 14632 14897 14898 14633 f 14897 15162 15163 14898 f 15162 15427 15428 15163 f 15427 15692 15693 15428 f 15692 15957 15958 15693 f 15957 16222 16223 15958 f 16222 16487 16488 16223 f 16487 16752 16753 16488 f 16752 17017 17018 16753 f 17017 17282 17283 17018 f 17282 17547 17548 17283 f 17547 17812 17813 17548 f 17812 18077 18078 17813 f 18077 18342 18343 18078 f 18342 18607 18608 18343 f 18607 18872 18873 18608 f 18872 19137 19138 18873 f 19137 19402 19403 19138 f 19402 19667 19668 19403 f 19667 19932 19933 19668 f 19932 20197 20198 19933 f 20197 20462 20463 20198 f 20462 20727 20728 20463 f 20727 20992 20993 20728 f 20992 21257 21258 20993 f 21257 21522 21523 21258 f 21522 21787 21788 21523 f 21787 22052 22053 21788 f 22052 22317 22318 22053 f 22317 22582 22583 22318 f 22582 22847 22848 22583 f 22847 23112 23113 22848 f 23112 23377 23378 23113 f 23377 23642 23643 23378 f 23642 23907 23908 23643 f 23907 24172 24173 23908 f 24172 24437 24438 24173 f 24437 24702 24703 24438 f 24702 24967 24968 24703 f 24967 25232 25233 24968 f 25232 25497 25498 25233 f 25497 25762 25763 25498 f 25762 26027 26028 25763 f 26027 26292 26293 26028 f 26292 26557 26558 26293 f 26557 26822 26823 26558 f 26822 27087 27088 26823 f 27087 27352 27353 27088 f 27352 27617 27618 27353 f 27617 27882 27883 27618 f 27882 28147 28148 27883 f 28147 28412 28413 28148 f 28412 28677 28678 28413 f 28677 28942 28943 28678 f 28942 29207 29208 28943 f 29207 29472 29473 29208 f 29472 29737 29738 29473 f 29737 30002 30003 29738 f 30002 30267 30268 30003 f 30267 30532 30533 30268 f 30532 30797 30798 30533 f 30797 31062 31063 30798 f 31062 31327 31328 31063 f 31327 31592 31593 31328 f 31592 31857 31858 31593 f 4947 5623 5624 4903 f 5623 5888 5889 5624 f 5888 6153 6154 5889 f 6153 6418 6419 6154 f 6418 6683 6684 6419 f 6683 6948 6949 6684 f 6948 7213 7214 6949 f 7213 7478 7479 7214 f 7478 7743 7744 7479 f 7743 8008 8009 7744 f 8008 8273 8274 8009 f 8273 8538 8539 8274 f 8538 8803 8804 8539 f 8803 9068 9069 8804 f 9068 9333 9334 9069 f 9333 9598 9599 9334 f 9598 9863 9864 9599 f 9863 10128 10129 9864 f 10128 10393 10394 10129 f 10393 10658 10659 10394 f 10658 10923 10924 10659 f 10923 11188 11189 10924 f 11188 11453 11454 11189 f 11453 11718 11719 11454 f 11718 11983 11984 11719 f 11983 12248 12249 11984 f 12248 12513 12514 12249 f 12513 12778 12779 12514 f 12778 13043 13044 12779 f 13043 13308 13309 13044 f 13308 13573 13574 13309 f 13573 13838 13839 13574 f 13838 14103 14104 13839 f 14103 14368 14369 14104 f 14368 14633 14634 14369 f 14633 14898 14899 14634 f 14898 15163 15164 14899 f 15163 15428 15429 15164 f 15428 15693 15694 15429 f 15693 15958 15959 15694 f 15958 16223 16224 15959 f 16223 16488 16489 16224 f 16488 16753 16754 16489 f 16753 17018 17019 16754 f 17018 17283 17284 17019 f 17283 17548 17549 17284 f 17548 17813 17814 17549 f 17813 18078 18079 17814 f 18078 18343 18344 18079 f 18343 18608 18609 18344 f 18608 18873 18874 18609 f 18873 19138 19139 18874 f 19138 19403 19404 19139 f 19403 19668 19669 19404 f 19668 19933 19934 19669 f 19933 20198 20199 19934 f 20198 20463 20464 20199 f 20463 20728 20729 20464 f 20728 20993 20994 20729 f 20993 21258 21259 20994 f 21258 21523 21524 21259 f 21523 21788 21789 21524 f 21788 22053 22054 21789 f 22053 22318 22319 22054 f 22318 22583 22584 22319 f 22583 22848 22849 22584 f 22848 23113 23114 22849 f 23113 23378 23379 23114 f 23378 23643 23644 23379 f 23643 23908 23909 23644 f 23908 24173 24174 23909 f 24173 24438 24439 24174 f 24438 24703 24704 24439 f 24703 24968 24969 24704 f 24968 25233 25234 24969 f 25233 25498 25499 25234 f 25498 25763 25764 25499 f 25763 26028 26029 25764 f 26028 26293 26294 26029 f 26293 26558 26559 26294 f 26558 26823 26824 26559 f 26823 27088 27089 26824 f 27088 27353 27354 27089 f 27353 27618 27619 27354 f 27618 27883 27884 27619 f 27883 28148 28149 27884 f 28148 28413 28414 28149 f 28413 28678 28679 28414 f 28678 28943 28944 28679 f 28943 29208 29209 28944 f 29208 29473 29474 29209 f 29473 29738 29739 29474 f 29738 30003 30004 29739 f 30003 30268 30269 30004 f 30268 30533 30534 30269 f 30533 30798 30799 30534 f 30798 31063 31064 30799 f 31063 31328 31329 31064 f 31328 31593 31594 31329 f 31593 31858 31859 31594 f 4903 5624 5625 4859 f 5624 5889 5890 5625 f 5889 6154 6155 5890 f 6154 6419 6420 6155 f 6419 6684 6685 6420 f 6684 6949 6950 6685 f 6949 7214 7215 6950 f 7214 7479 7480 7215 f 7479 7744 7745 7480 f 7744 8009 8010 7745 f 8009 8274 8275 8010 f 8274 8539 8540 8275 f 8539 8804 8805 8540 f 8804 9069 9070 8805 f 9069 9334 9335 9070 f 9334 9599 9600 9335 f 9599 9864 9865 9600 f 9864 10129 10130 9865 f 10129 10394 10395 10130 f 10394 10659 10660 10395 f 10659 10924 10925 10660 f 10924 11189 11190 10925 f 11189 11454 11455 11190 f 11454 11719 11720 11455 f 11719 11984 11985 11720 f 11984 12249 12250 11985 f 12249 12514 12515 12250 f 12514 12779 12780 12515 f 12779 13044 13045 12780 f 13044 13309 13310 13045 f 13309 13574 13575 13310 f 13574 13839 13840 13575 f 13839 14104 14105 13840 f 14104 14369 14370 14105 f 14369 14634 14635 14370 f 14634 14899 14900 14635 f 14899 15164 15165 14900 f 15164 15429 15430 15165 f 15429 15694 15695 15430 f 15694 15959 15960 15695 f 15959 16224 16225 15960 f 16224 16489 16490 16225 f 16489 16754 16755 16490 f 16754 17019 17020 16755 f 17019 17284 17285 17020 f 17284 17549 17550 17285 f 17549 17814 17815 17550 f 17814 18079 18080 17815 f 18079 18344 18345 18080 f 18344 18609 18610 18345 f 18609 18874 18875 18610 f 18874 19139 19140 18875 f 19139 19404 19405 19140 f 19404 19669 19670 19405 f 19669 19934 19935 19670 f 19934 20199 20200 19935 f 20199 20464 20465 20200 f 20464 20729 20730 20465 f 20729 20994 20995 20730 f 20994 21259 21260 20995 f 21259 21524 21525 21260 f 21524 21789 21790 21525 f 21789 22054 22055 21790 f 22054 22319 22320 22055 f 22319 22584 22585 22320 f 22584 22849 22850 22585 f 22849 23114 23115 22850 f 23114 23379 23380 23115 f 23379 23644 23645 23380 f 23644 23909 23910 23645 f 23909 24174 24175 23910 f 24174 24439 24440 24175 f 24439 24704 24705 24440 f 24704 24969 24970 24705 f 24969 25234 25235 24970 f 25234 25499 25500 25235 f 25499 25764 25765 25500 f 25764 26029 26030 25765 f 26029 26294 26295 26030 f 26294 26559 26560 26295 f 26559 26824 26825 26560 f 26824 27089 27090 26825 f 27089 27354 27355 27090 f 27354 27619 27620 27355 f 27619 27884 27885 27620 f 27884 28149 28150 27885 f 28149 28414 28415 28150 f 28414 28679 28680 28415 f 28679 28944 28945 28680 f 28944 29209 29210 28945 f 29209 29474 29475 29210 f 29474 29739 29740 29475 f 29739 30004 30005 29740 f 30004 30269 30270 30005 f 30269 30534 30535 30270 f 30534 30799 30800 30535 f 30799 31064 31065 30800 f 31064 31329 31330 31065 f 31329 31594 31595 31330 f 31594 31859 31860 31595 f 4859 5625 5626 4815 f 5625 5890 5891 5626 f 5890 6155 6156 5891 f 6155 6420 6421 6156 f 6420 6685 6686 6421 f 6685 6950 6951 6686 f 6950 7215 7216 6951 f 7215 7480 7481 7216 f 7480 7745 7746 7481 f 7745 8010 8011 7746 f 8010 8275 8276 8011 f 8275 8540 8541 8276 f 8540 8805 8806 8541 f 8805 9070 9071 8806 f 9070 9335 9336 9071 f 9335 9600 9601 9336 f 9600 9865 9866 9601 f 9865 10130 10131 9866 f 10130 10395 10396 10131 f 10395 10660 10661 10396 f 10660 10925 10926 10661 f 10925 11190 11191 10926 f 11190 11455 11456 11191 f 11455 11720 11721 11456 f 11720 11985 11986 11721 f 11985 12250 12251 11986 f 12250 12515 12516 12251 f 12515 12780 12781 12516 f 12780 13045 13046 12781 f 13045 13310 13311 13046 f 13310 13575 13576 13311 f 13575 13840 13841 13576 f 13840 14105 14106 13841 f 14105 14370 14371 14106 f 14370 14635 14636 14371 f 14635 14900 14901 14636 f 14900 15165 15166 14901 f 15165 15430 15431 15166 f 15430 15695 15696 15431 f 15695 15960 15961 15696 f 15960 16225 16226 15961 f 16225 16490 16491 16226 f 16490 16755 16756 16491 f 16755 17020 17021 16756 f 17020 17285 17286 17021 f 17285 17550 17551 17286 f 17550 17815 17816 17551 f 17815 18080 18081 17816 f 18080 18345 18346 18081 f 18345 18610 18611 18346 f 18610 18875 18876 18611 f 18875 19140 19141 18876 f 19140 19405 19406 19141 f 19405 19670 19671 19406 f 19670 19935 19936 19671 f 19935 20200 20201 19936 f 20200 20465 20466 20201 f 20465 20730 20731 20466 f 20730 20995 20996 20731 f 20995 21260 21261 20996 f 21260 21525 21526 21261 f 21525 21790 21791 21526 f 21790 22055 22056 21791 f 22055 22320 22321 22056 f 22320 22585 22586 22321 f 22585 22850 22851 22586 f 22850 23115 23116 22851 f 23115 23380 23381 23116 f 23380 23645 23646 23381 f 23645 23910 23911 23646 f 23910 24175 24176 23911 f 24175 24440 24441 24176 f 24440 24705 24706 24441 f 24705 24970 24971 24706 f 24970 25235 25236 24971 f 25235 25500 25501 25236 f 25500 25765 25766 25501 f 25765 26030 26031 25766 f 26030 26295 26296 26031 f 26295 26560 26561 26296 f 26560 26825 26826 26561 f 26825 27090 27091 26826 f 27090 27355 27356 27091 f 27355 27620 27621 27356 f 27620 27885 27886 27621 f 27885 28150 28151 27886 f 28150 28415 28416 28151 f 28415 28680 28681 28416 f 28680 28945 28946 28681 f 28945 29210 29211 28946 f 29210 29475 29476 29211 f 29475 29740 29741 29476 f 29740 30005 30006 29741 f 30005 30270 30271 30006 f 30270 30535 30536 30271 f 30535 30800 30801 30536 f 30800 31065 31066 30801 f 31065 31330 31331 31066 f 31330 31595 31596 31331 f 31595 31860 31861 31596 f 4815 5626 5627 4771 f 5626 5891 5892 5627 f 5891 6156 6157 5892 f 6156 6421 6422 6157 f 6421 6686 6687 6422 f 6686 6951 6952 6687 f 6951 7216 7217 6952 f 7216 7481 7482 7217 f 7481 7746 7747 7482 f 7746 8011 8012 7747 f 8011 8276 8277 8012 f 8276 8541 8542 8277 f 8541 8806 8807 8542 f 8806 9071 9072 8807 f 9071 9336 9337 9072 f 9336 9601 9602 9337 f 9601 9866 9867 9602 f 9866 10131 10132 9867 f 10131 10396 10397 10132 f 10396 10661 10662 10397 f 10661 10926 10927 10662 f 10926 11191 11192 10927 f 11191 11456 11457 11192 f 11456 11721 11722 11457 f 11721 11986 11987 11722 f 11986 12251 12252 11987 f 12251 12516 12517 12252 f 12516 12781 12782 12517 f 12781 13046 13047 12782 f 13046 13311 13312 13047 f 13311 13576 13577 13312 f 13576 13841 13842 13577 f 13841 14106 14107 13842 f 14106 14371 14372 14107 f 14371 14636 14637 14372 f 14636 14901 14902 14637 f 14901 15166 15167 14902 f 15166 15431 15432 15167 f 15431 15696 15697 15432 f 15696 15961 15962 15697 f 15961 16226 16227 15962 f 16226 16491 16492 16227 f 16491 16756 16757 16492 f 16756 17021 17022 16757 f 17021 17286 17287 17022 f 17286 17551 17552 17287 f 17551 17816 17817 17552 f 17816 18081 18082 17817 f 18081 18346 18347 18082 f 18346 18611 18612 18347 f 18611 18876 18877 18612 f 18876 19141 19142 18877 f 19141 19406 19407 19142 f 19406 19671 19672 19407 f 19671 19936 19937 19672 f 19936 20201 20202 19937 f 20201 20466 20467 20202 f 20466 20731 20732 20467 f 20731 20996 20997 20732 f 20996 21261 21262 20997 f 21261 21526 21527 21262 f 21526 21791 21792 21527 f 21791 22056 22057 21792 f 22056 22321 22322 22057 f 22321 22586 22587 22322 f 22586 22851 22852 22587 f 22851 23116 23117 22852 f 23116 23381 23382 23117 f 23381 23646 23647 23382 f 23646 23911 23912 23647 f 23911 24176 24177 23912 f 24176 24441 24442 24177 f 24441 24706 24707 24442 f 24706 24971 24972 24707 f 24971 25236 25237 24972 f 25236 25501 25502 25237 f 25501 25766 25767 25502 f 25766 26031 26032 25767 f 26031 26296 26297 26032 f 26296 26561 26562 26297 f 26561 26826 26827 26562 f 26826 27091 27092 26827 f 27091 27356 27357 27092 f 27356 27621 27622 27357 f 27621 27886 27887 27622 f 27886 28151 28152 27887 f 28151 28416 28417 28152 f 28416 28681 28682 28417 f 28681 28946 28947 28682 f 28946 29211 29212 28947 f 29211 29476 29477 29212 f 29476 29741 29742 29477 f 29741 30006 30007 29742 f 30006 30271 30272 30007 f 30271 30536 30537 30272 f 30536 30801 30802 30537 f 30801 31066 31067 30802 f 31066 31331 31332 31067 f 31331 31596 31597 31332 f 31596 31861 31862 31597 f 4771 5627 5628 4501 f 5627 5892 5893 5628 f 5892 6157 6158 5893 f 6157 6422 6423 6158 f 6422 6687 6688 6423 f 6687 6952 6953 6688 f 6952 7217 7218 6953 f 7217 7482 7483 7218 f 7482 7747 7748 7483 f 7747 8012 8013 7748 f 8012 8277 8278 8013 f 8277 8542 8543 8278 f 8542 8807 8808 8543 f 8807 9072 9073 8808 f 9072 9337 9338 9073 f 9337 9602 9603 9338 f 9602 9867 9868 9603 f 9867 10132 10133 9868 f 10132 10397 10398 10133 f 10397 10662 10663 10398 f 10662 10927 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24975 25240 25241 24976 f 25240 25505 25506 25241 f 25505 25770 25771 25506 f 25770 26035 26036 25771 f 26035 26300 26301 26036 f 26300 26565 26566 26301 f 26565 26830 26831 26566 f 26830 27095 27096 26831 f 27095 27360 27361 27096 f 27360 27625 27626 27361 f 27625 27890 27891 27626 f 27890 28155 28156 27891 f 28155 28420 28421 28156 f 28420 28685 28686 28421 f 28685 28950 28951 28686 f 28950 29215 29216 28951 f 29215 29480 29481 29216 f 29480 29745 29746 29481 f 29745 30010 30011 29746 f 30010 30275 30276 30011 f 30275 30540 30541 30276 f 30540 30805 30806 30541 f 30805 31070 31071 30806 f 31070 31335 31336 31071 f 31335 31600 31601 31336 f 31600 31865 31866 31601 f 4504 5631 5632 4505 f 5631 5896 5897 5632 f 5896 6161 6162 5897 f 6161 6426 6427 6162 f 6426 6691 6692 6427 f 6691 6956 6957 6692 f 6956 7221 7222 6957 f 7221 7486 7487 7222 f 7486 7751 7752 7487 f 7751 8016 8017 7752 f 8016 8281 8282 8017 f 8281 8546 8547 8282 f 8546 8811 8812 8547 f 8811 9076 9077 8812 f 9076 9341 9342 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f 29746 30011 30012 29747 f 30011 30276 30277 30012 f 30276 30541 30542 30277 f 30541 30806 30807 30542 f 30806 31071 31072 30807 f 31071 31336 31337 31072 f 31336 31601 31602 31337 f 31601 31866 31867 31602 f 4505 5632 5633 4506 f 5632 5897 5898 5633 f 5897 6162 6163 5898 f 6162 6427 6428 6163 f 6427 6692 6693 6428 f 6692 6957 6958 6693 f 6957 7222 7223 6958 f 7222 7487 7488 7223 f 7487 7752 7753 7488 f 7752 8017 8018 7753 f 8017 8282 8283 8018 f 8282 8547 8548 8283 f 8547 8812 8813 8548 f 8812 9077 9078 8813 f 9077 9342 9343 9078 f 9342 9607 9608 9343 f 9607 9872 9873 9608 f 9872 10137 10138 9873 f 10137 10402 10403 10138 f 10402 10667 10668 10403 f 10667 10932 10933 10668 f 10932 11197 11198 10933 f 11197 11462 11463 11198 f 11462 11727 11728 11463 f 11727 11992 11993 11728 f 11992 12257 12258 11993 f 12257 12522 12523 12258 f 12522 12787 12788 12523 f 12787 13052 13053 12788 f 13052 13317 13318 13053 f 13317 13582 13583 13318 f 13582 13847 13848 13583 f 13847 14112 14113 13848 f 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24448 24183 f 24447 24712 24713 24448 f 24712 24977 24978 24713 f 24977 25242 25243 24978 f 25242 25507 25508 25243 f 25507 25772 25773 25508 f 25772 26037 26038 25773 f 26037 26302 26303 26038 f 26302 26567 26568 26303 f 26567 26832 26833 26568 f 26832 27097 27098 26833 f 27097 27362 27363 27098 f 27362 27627 27628 27363 f 27627 27892 27893 27628 f 27892 28157 28158 27893 f 28157 28422 28423 28158 f 28422 28687 28688 28423 f 28687 28952 28953 28688 f 28952 29217 29218 28953 f 29217 29482 29483 29218 f 29482 29747 29748 29483 f 29747 30012 30013 29748 f 30012 30277 30278 30013 f 30277 30542 30543 30278 f 30542 30807 30808 30543 f 30807 31072 31073 30808 f 31072 31337 31338 31073 f 31337 31602 31603 31338 f 31602 31867 31868 31603 f 4506 5633 5634 4507 f 5633 5898 5899 5634 f 5898 6163 6164 5899 f 6163 6428 6429 6164 f 6428 6693 6694 6429 f 6693 6958 6959 6694 f 6958 7223 7224 6959 f 7223 7488 7489 7224 f 7488 7753 7754 7489 f 7753 8018 8019 7754 f 8018 8283 8284 8019 f 8283 8548 8549 8284 f 8548 8813 8814 8549 f 8813 9078 9079 8814 f 9078 9343 9344 9079 f 9343 9608 9609 9344 f 9608 9873 9874 9609 f 9873 10138 10139 9874 f 10138 10403 10404 10139 f 10403 10668 10669 10404 f 10668 10933 10934 10669 f 10933 11198 11199 10934 f 11198 11463 11464 11199 f 11463 11728 11729 11464 f 11728 11993 11994 11729 f 11993 12258 12259 11994 f 12258 12523 12524 12259 f 12523 12788 12789 12524 f 12788 13053 13054 12789 f 13053 13318 13319 13054 f 13318 13583 13584 13319 f 13583 13848 13849 13584 f 13848 14113 14114 13849 f 14113 14378 14379 14114 f 14378 14643 14644 14379 f 14643 14908 14909 14644 f 14908 15173 15174 14909 f 15173 15438 15439 15174 f 15438 15703 15704 15439 f 15703 15968 15969 15704 f 15968 16233 16234 15969 f 16233 16498 16499 16234 f 16498 16763 16764 16499 f 16763 17028 17029 16764 f 17028 17293 17294 17029 f 17293 17558 17559 17294 f 17558 17823 17824 17559 f 17823 18088 18089 17824 f 18088 18353 18354 18089 f 18353 18618 18619 18354 f 18618 18883 18884 18619 f 18883 19148 19149 18884 f 19148 19413 19414 19149 f 19413 19678 19679 19414 f 19678 19943 19944 19679 f 19943 20208 20209 19944 f 20208 20473 20474 20209 f 20473 20738 20739 20474 f 20738 21003 21004 20739 f 21003 21268 21269 21004 f 21268 21533 21534 21269 f 21533 21798 21799 21534 f 21798 22063 22064 21799 f 22063 22328 22329 22064 f 22328 22593 22594 22329 f 22593 22858 22859 22594 f 22858 23123 23124 22859 f 23123 23388 23389 23124 f 23388 23653 23654 23389 f 23653 23918 23919 23654 f 23918 24183 24184 23919 f 24183 24448 24449 24184 f 24448 24713 24714 24449 f 24713 24978 24979 24714 f 24978 25243 25244 24979 f 25243 25508 25509 25244 f 25508 25773 25774 25509 f 25773 26038 26039 25774 f 26038 26303 26304 26039 f 26303 26568 26569 26304 f 26568 26833 26834 26569 f 26833 27098 27099 26834 f 27098 27363 27364 27099 f 27363 27628 27629 27364 f 27628 27893 27894 27629 f 27893 28158 28159 27894 f 28158 28423 28424 28159 f 28423 28688 28689 28424 f 28688 28953 28954 28689 f 28953 29218 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f 23654 23919 23920 23655 f 23919 24184 24185 23920 f 24184 24449 24450 24185 f 24449 24714 24715 24450 f 24714 24979 24980 24715 f 24979 25244 25245 24980 f 25244 25509 25510 25245 f 25509 25774 25775 25510 f 25774 26039 26040 25775 f 26039 26304 26305 26040 f 26304 26569 26570 26305 f 26569 26834 26835 26570 f 26834 27099 27100 26835 f 27099 27364 27365 27100 f 27364 27629 27630 27365 f 27629 27894 27895 27630 f 27894 28159 28160 27895 f 28159 28424 28425 28160 f 28424 28689 28690 28425 f 28689 28954 28955 28690 f 28954 29219 29220 28955 f 29219 29484 29485 29220 f 29484 29749 29750 29485 f 29749 30014 30015 29750 f 30014 30279 30280 30015 f 30279 30544 30545 30280 f 30544 30809 30810 30545 f 30809 31074 31075 30810 f 31074 31339 31340 31075 f 31339 31604 31605 31340 f 31604 31869 31870 31605 f 4508 5635 5636 4509 f 5635 5900 5901 5636 f 5900 6165 6166 5901 f 6165 6430 6431 6166 f 6430 6695 6696 6431 f 6695 6960 6961 6696 f 6960 7225 7226 6961 f 7225 7490 7491 7226 f 7490 7755 7756 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6698 f 6962 7227 7228 6963 f 7227 7492 7493 7228 f 7492 7757 7758 7493 f 7757 8022 8023 7758 f 8022 8287 8288 8023 f 8287 8552 8553 8288 f 8552 8817 8818 8553 f 8817 9082 9083 8818 f 9082 9347 9348 9083 f 9347 9612 9613 9348 f 9612 9877 9878 9613 f 9877 10142 10143 9878 f 10142 10407 10408 10143 f 10407 10672 10673 10408 f 10672 10937 10938 10673 f 10937 11202 11203 10938 f 11202 11467 11468 11203 f 11467 11732 11733 11468 f 11732 11997 11998 11733 f 11997 12262 12263 11998 f 12262 12527 12528 12263 f 12527 12792 12793 12528 f 12792 13057 13058 12793 f 13057 13322 13323 13058 f 13322 13587 13588 13323 f 13587 13852 13853 13588 f 13852 14117 14118 13853 f 14117 14382 14383 14118 f 14382 14647 14648 14383 f 14647 14912 14913 14648 f 14912 15177 15178 14913 f 15177 15442 15443 15178 f 15442 15707 15708 15443 f 15707 15972 15973 15708 f 15972 16237 16238 15973 f 16237 16502 16503 16238 f 16502 16767 16768 16503 f 16767 17032 17033 16768 f 17032 17297 17298 17033 f 17297 17562 17563 17298 f 17562 17827 17828 17563 f 17827 18092 18093 17828 f 18092 18357 18358 18093 f 18357 18622 18623 18358 f 18622 18887 18888 18623 f 18887 19152 19153 18888 f 19152 19417 19418 19153 f 19417 19682 19683 19418 f 19682 19947 19948 19683 f 19947 20212 20213 19948 f 20212 20477 20478 20213 f 20477 20742 20743 20478 f 20742 21007 21008 20743 f 21007 21272 21273 21008 f 21272 21537 21538 21273 f 21537 21802 21803 21538 f 21802 22067 22068 21803 f 22067 22332 22333 22068 f 22332 22597 22598 22333 f 22597 22862 22863 22598 f 22862 23127 23128 22863 f 23127 23392 23393 23128 f 23392 23657 23658 23393 f 23657 23922 23923 23658 f 23922 24187 24188 23923 f 24187 24452 24453 24188 f 24452 24717 24718 24453 f 24717 24982 24983 24718 f 24982 25247 25248 24983 f 25247 25512 25513 25248 f 25512 25777 25778 25513 f 25777 26042 26043 25778 f 26042 26307 26308 26043 f 26307 26572 26573 26308 f 26572 26837 26838 26573 f 26837 27102 27103 26838 f 27102 27367 27368 27103 f 27367 27632 27633 27368 f 27632 27897 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f 22333 22598 22599 22334 f 22598 22863 22864 22599 f 22863 23128 23129 22864 f 23128 23393 23394 23129 f 23393 23658 23659 23394 f 23658 23923 23924 23659 f 23923 24188 24189 23924 f 24188 24453 24454 24189 f 24453 24718 24719 24454 f 24718 24983 24984 24719 f 24983 25248 25249 24984 f 25248 25513 25514 25249 f 25513 25778 25779 25514 f 25778 26043 26044 25779 f 26043 26308 26309 26044 f 26308 26573 26574 26309 f 26573 26838 26839 26574 f 26838 27103 27104 26839 f 27103 27368 27369 27104 f 27368 27633 27634 27369 f 27633 27898 27899 27634 f 27898 28163 28164 27899 f 28163 28428 28429 28164 f 28428 28693 28694 28429 f 28693 28958 28959 28694 f 28958 29223 29224 28959 f 29223 29488 29489 29224 f 29488 29753 29754 29489 f 29753 30018 30019 29754 f 30018 30283 30284 30019 f 30283 30548 30549 30284 f 30548 30813 30814 30549 f 30813 31078 31079 30814 f 31078 31343 31344 31079 f 31343 31608 31609 31344 f 31608 31873 31874 31609 f 4512 5639 5640 4513 f 5639 5904 5905 5640 f 5904 6169 6170 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17035 16770 f 17034 17299 17300 17035 f 17299 17564 17565 17300 f 17564 17829 17830 17565 f 17829 18094 18095 17830 f 18094 18359 18360 18095 f 18359 18624 18625 18360 f 18624 18889 18890 18625 f 18889 19154 19155 18890 f 19154 19419 19420 19155 f 19419 19684 19685 19420 f 19684 19949 19950 19685 f 19949 20214 20215 19950 f 20214 20479 20480 20215 f 20479 20744 20745 20480 f 20744 21009 21010 20745 f 21009 21274 21275 21010 f 21274 21539 21540 21275 f 21539 21804 21805 21540 f 21804 22069 22070 21805 f 22069 22334 22335 22070 f 22334 22599 22600 22335 f 22599 22864 22865 22600 f 22864 23129 23130 22865 f 23129 23394 23395 23130 f 23394 23659 23660 23395 f 23659 23924 23925 23660 f 23924 24189 24190 23925 f 24189 24454 24455 24190 f 24454 24719 24720 24455 f 24719 24984 24985 24720 f 24984 25249 25250 24985 f 25249 25514 25515 25250 f 25514 25779 25780 25515 f 25779 26044 26045 25780 f 26044 26309 26310 26045 f 26309 26574 26575 26310 f 26574 26839 26840 26575 f 26839 27104 27105 26840 f 27104 27369 27370 27105 f 27369 27634 27635 27370 f 27634 27899 27900 27635 f 27899 28164 28165 27900 f 28164 28429 28430 28165 f 28429 28694 28695 28430 f 28694 28959 28960 28695 f 28959 29224 29225 28960 f 29224 29489 29490 29225 f 29489 29754 29755 29490 f 29754 30019 30020 29755 f 30019 30284 30285 30020 f 30284 30549 30550 30285 f 30549 30814 30815 30550 f 30814 31079 31080 30815 f 31079 31344 31345 31080 f 31344 31609 31610 31345 f 31609 31874 31875 31610 f 4513 5640 5641 4514 f 5640 5905 5906 5641 f 5905 6170 6171 5906 f 6170 6435 6436 6171 f 6435 6700 6701 6436 f 6700 6965 6966 6701 f 6965 7230 7231 6966 f 7230 7495 7496 7231 f 7495 7760 7761 7496 f 7760 8025 8026 7761 f 8025 8290 8291 8026 f 8290 8555 8556 8291 f 8555 8820 8821 8556 f 8820 9085 9086 8821 f 9085 9350 9351 9086 f 9350 9615 9616 9351 f 9615 9880 9881 9616 f 9880 10145 10146 9881 f 10145 10410 10411 10146 f 10410 10675 10676 10411 f 10675 10940 10941 10676 f 10940 11205 11206 10941 f 11205 11470 11471 11206 f 11470 11735 11736 11471 f 11735 12000 12001 11736 f 12000 12265 12266 12001 f 12265 12530 12531 12266 f 12530 12795 12796 12531 f 12795 13060 13061 12796 f 13060 13325 13326 13061 f 13325 13590 13591 13326 f 13590 13855 13856 13591 f 13855 14120 14121 13856 f 14120 14385 14386 14121 f 14385 14650 14651 14386 f 14650 14915 14916 14651 f 14915 15180 15181 14916 f 15180 15445 15446 15181 f 15445 15710 15711 15446 f 15710 15975 15976 15711 f 15975 16240 16241 15976 f 16240 16505 16506 16241 f 16505 16770 16771 16506 f 16770 17035 17036 16771 f 17035 17300 17301 17036 f 17300 17565 17566 17301 f 17565 17830 17831 17566 f 17830 18095 18096 17831 f 18095 18360 18361 18096 f 18360 18625 18626 18361 f 18625 18890 18891 18626 f 18890 19155 19156 18891 f 19155 19420 19421 19156 f 19420 19685 19686 19421 f 19685 19950 19951 19686 f 19950 20215 20216 19951 f 20215 20480 20481 20216 f 20480 20745 20746 20481 f 20745 21010 21011 20746 f 21010 21275 21276 21011 f 21275 21540 21541 21276 f 21540 21805 21806 21541 f 21805 22070 22071 21806 f 22070 22335 22336 22071 f 22335 22600 22601 22336 f 22600 22865 22866 22601 f 22865 23130 23131 22866 f 23130 23395 23396 23131 f 23395 23660 23661 23396 f 23660 23925 23926 23661 f 23925 24190 24191 23926 f 24190 24455 24456 24191 f 24455 24720 24721 24456 f 24720 24985 24986 24721 f 24985 25250 25251 24986 f 25250 25515 25516 25251 f 25515 25780 25781 25516 f 25780 26045 26046 25781 f 26045 26310 26311 26046 f 26310 26575 26576 26311 f 26575 26840 26841 26576 f 26840 27105 27106 26841 f 27105 27370 27371 27106 f 27370 27635 27636 27371 f 27635 27900 27901 27636 f 27900 28165 28166 27901 f 28165 28430 28431 28166 f 28430 28695 28696 28431 f 28695 28960 28961 28696 f 28960 29225 29226 28961 f 29225 29490 29491 29226 f 29490 29755 29756 29491 f 29755 30020 30021 29756 f 30020 30285 30286 30021 f 30285 30550 30551 30286 f 30550 30815 30816 30551 f 30815 31080 31081 30816 f 31080 31345 31346 31081 f 31345 31610 31611 31346 f 31610 31875 31876 31611 f 4514 5641 5642 4515 f 5641 5906 5907 5642 f 5906 6171 6172 5907 f 6171 6436 6437 6172 f 6436 6701 6702 6437 f 6701 6966 6967 6702 f 6966 7231 7232 6967 f 7231 7496 7497 7232 f 7496 7761 7762 7497 f 7761 8026 8027 7762 f 8026 8291 8292 8027 f 8291 8556 8557 8292 f 8556 8821 8822 8557 f 8821 9086 9087 8822 f 9086 9351 9352 9087 f 9351 9616 9617 9352 f 9616 9881 9882 9617 f 9881 10146 10147 9882 f 10146 10411 10412 10147 f 10411 10676 10677 10412 f 10676 10941 10942 10677 f 10941 11206 11207 10942 f 11206 11471 11472 11207 f 11471 11736 11737 11472 f 11736 12001 12002 11737 f 12001 12266 12267 12002 f 12266 12531 12532 12267 f 12531 12796 12797 12532 f 12796 13061 13062 12797 f 13061 13326 13327 13062 f 13326 13591 13592 13327 f 13591 13856 13857 13592 f 13856 14121 14122 13857 f 14121 14386 14387 14122 f 14386 14651 14652 14387 f 14651 14916 14917 14652 f 14916 15181 15182 14917 f 15181 15446 15447 15182 f 15446 15711 15712 15447 f 15711 15976 15977 15712 f 15976 16241 16242 15977 f 16241 16506 16507 16242 f 16506 16771 16772 16507 f 16771 17036 17037 16772 f 17036 17301 17302 17037 f 17301 17566 17567 17302 f 17566 17831 17832 17567 f 17831 18096 18097 17832 f 18096 18361 18362 18097 f 18361 18626 18627 18362 f 18626 18891 18892 18627 f 18891 19156 19157 18892 f 19156 19421 19422 19157 f 19421 19686 19687 19422 f 19686 19951 19952 19687 f 19951 20216 20217 19952 f 20216 20481 20482 20217 f 20481 20746 20747 20482 f 20746 21011 21012 20747 f 21011 21276 21277 21012 f 21276 21541 21542 21277 f 21541 21806 21807 21542 f 21806 22071 22072 21807 f 22071 22336 22337 22072 f 22336 22601 22602 22337 f 22601 22866 22867 22602 f 22866 23131 23132 22867 f 23131 23396 23397 23132 f 23396 23661 23662 23397 f 23661 23926 23927 23662 f 23926 24191 24192 23927 f 24191 24456 24457 24192 f 24456 24721 24722 24457 f 24721 24986 24987 24722 f 24986 25251 25252 24987 f 25251 25516 25517 25252 f 25516 25781 25782 25517 f 25781 26046 26047 25782 f 26046 26311 26312 26047 f 26311 26576 26577 26312 f 26576 26841 26842 26577 f 26841 27106 27107 26842 f 27106 27371 27372 27107 f 27371 27636 27637 27372 f 27636 27901 27902 27637 f 27901 28166 28167 27902 f 28166 28431 28432 28167 f 28431 28696 28697 28432 f 28696 28961 28962 28697 f 28961 29226 29227 28962 f 29226 29491 29492 29227 f 29491 29756 29757 29492 f 29756 30021 30022 29757 f 30021 30286 30287 30022 f 30286 30551 30552 30287 f 30551 30816 30817 30552 f 30816 31081 31082 30817 f 31081 31346 31347 31082 f 31346 31611 31612 31347 f 31611 31876 31877 31612 f 4515 5642 5643 4516 f 5642 5907 5908 5643 f 5907 6172 6173 5908 f 6172 6437 6438 6173 f 6437 6702 6703 6438 f 6702 6967 6968 6703 f 6967 7232 7233 6968 f 7232 7497 7498 7233 f 7497 7762 7763 7498 f 7762 8027 8028 7763 f 8027 8292 8293 8028 f 8292 8557 8558 8293 f 8557 8822 8823 8558 f 8822 9087 9088 8823 f 9087 9352 9353 9088 f 9352 9617 9618 9353 f 9617 9882 9883 9618 f 9882 10147 10148 9883 f 10147 10412 10413 10148 f 10412 10677 10678 10413 f 10677 10942 10943 10678 f 10942 11207 11208 10943 f 11207 11472 11473 11208 f 11472 11737 11738 11473 f 11737 12002 12003 11738 f 12002 12267 12268 12003 f 12267 12532 12533 12268 f 12532 12797 12798 12533 f 12797 13062 13063 12798 f 13062 13327 13328 13063 f 13327 13592 13593 13328 f 13592 13857 13858 13593 f 13857 14122 14123 13858 f 14122 14387 14388 14123 f 14387 14652 14653 14388 f 14652 14917 14918 14653 f 14917 15182 15183 14918 f 15182 15447 15448 15183 f 15447 15712 15713 15448 f 15712 15977 15978 15713 f 15977 16242 16243 15978 f 16242 16507 16508 16243 f 16507 16772 16773 16508 f 16772 17037 17038 16773 f 17037 17302 17303 17038 f 17302 17567 17568 17303 f 17567 17832 17833 17568 f 17832 18097 18098 17833 f 18097 18362 18363 18098 f 18362 18627 18628 18363 f 18627 18892 18893 18628 f 18892 19157 19158 18893 f 19157 19422 19423 19158 f 19422 19687 19688 19423 f 19687 19952 19953 19688 f 19952 20217 20218 19953 f 20217 20482 20483 20218 f 20482 20747 20748 20483 f 20747 21012 21013 20748 f 21012 21277 21278 21013 f 21277 21542 21543 21278 f 21542 21807 21808 21543 f 21807 22072 22073 21808 f 22072 22337 22338 22073 f 22337 22602 22603 22338 f 22602 22867 22868 22603 f 22867 23132 23133 22868 f 23132 23397 23398 23133 f 23397 23662 23663 23398 f 23662 23927 23928 23663 f 23927 24192 24193 23928 f 24192 24457 24458 24193 f 24457 24722 24723 24458 f 24722 24987 24988 24723 f 24987 25252 25253 24988 f 25252 25517 25518 25253 f 25517 25782 25783 25518 f 25782 26047 26048 25783 f 26047 26312 26313 26048 f 26312 26577 26578 26313 f 26577 26842 26843 26578 f 26842 27107 27108 26843 f 27107 27372 27373 27108 f 27372 27637 27638 27373 f 27637 27902 27903 27638 f 27902 28167 28168 27903 f 28167 28432 28433 28168 f 28432 28697 28698 28433 f 28697 28962 28963 28698 f 28962 29227 29228 28963 f 29227 29492 29493 29228 f 29492 29757 29758 29493 f 29757 30022 30023 29758 f 30022 30287 30288 30023 f 30287 30552 30553 30288 f 30552 30817 30818 30553 f 30817 31082 31083 30818 f 31082 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24463 24198 f 24462 24727 24728 24463 f 24727 24992 24993 24728 f 24992 25257 25258 24993 f 25257 25522 25523 25258 f 25522 25787 25788 25523 f 25787 26052 26053 25788 f 26052 26317 26318 26053 f 26317 26582 26583 26318 f 26582 26847 26848 26583 f 26847 27112 27113 26848 f 27112 27377 27378 27113 f 27377 27642 27643 27378 f 27642 27907 27908 27643 f 27907 28172 28173 27908 f 28172 28437 28438 28173 f 28437 28702 28703 28438 f 28702 28967 28968 28703 f 28967 29232 29233 28968 f 29232 29497 29498 29233 f 29497 29762 29763 29498 f 29762 30027 30028 29763 f 30027 30292 30293 30028 f 30292 30557 30558 30293 f 30557 30822 30823 30558 f 30822 31087 31088 30823 f 31087 31352 31353 31088 f 31352 31617 31618 31353 f 31617 31882 31883 31618 f 4521 5648 5649 4522 f 5648 5913 5914 5649 f 5913 6178 6179 5914 f 6178 6443 6444 6179 f 6443 6708 6709 6444 f 6708 6973 6974 6709 f 6973 7238 7239 6974 f 7238 7503 7504 7239 f 7503 7768 7769 7504 f 7768 8033 8034 7769 f 8033 8298 8299 8034 f 8298 8563 8564 8299 f 8563 8828 8829 8564 f 8828 9093 9094 8829 f 9093 9358 9359 9094 f 9358 9623 9624 9359 f 9623 9888 9889 9624 f 9888 10153 10154 9889 f 10153 10418 10419 10154 f 10418 10683 10684 10419 f 10683 10948 10949 10684 f 10948 11213 11214 10949 f 11213 11478 11479 11214 f 11478 11743 11744 11479 f 11743 12008 12009 11744 f 12008 12273 12274 12009 f 12273 12538 12539 12274 f 12538 12803 12804 12539 f 12803 13068 13069 12804 f 13068 13333 13334 13069 f 13333 13598 13599 13334 f 13598 13863 13864 13599 f 13863 14128 14129 13864 f 14128 14393 14394 14129 f 14393 14658 14659 14394 f 14658 14923 14924 14659 f 14923 15188 15189 14924 f 15188 15453 15454 15189 f 15453 15718 15719 15454 f 15718 15983 15984 15719 f 15983 16248 16249 15984 f 16248 16513 16514 16249 f 16513 16778 16779 16514 f 16778 17043 17044 16779 f 17043 17308 17309 17044 f 17308 17573 17574 17309 f 17573 17838 17839 17574 f 17838 18103 18104 17839 f 18103 18368 18369 18104 f 18368 18633 18634 18369 f 18633 18898 18899 18634 f 18898 19163 19164 18899 f 19163 19428 19429 19164 f 19428 19693 19694 19429 f 19693 19958 19959 19694 f 19958 20223 20224 19959 f 20223 20488 20489 20224 f 20488 20753 20754 20489 f 20753 21018 21019 20754 f 21018 21283 21284 21019 f 21283 21548 21549 21284 f 21548 21813 21814 21549 f 21813 22078 22079 21814 f 22078 22343 22344 22079 f 22343 22608 22609 22344 f 22608 22873 22874 22609 f 22873 23138 23139 22874 f 23138 23403 23404 23139 f 23403 23668 23669 23404 f 23668 23933 23934 23669 f 23933 24198 24199 23934 f 24198 24463 24464 24199 f 24463 24728 24729 24464 f 24728 24993 24994 24729 f 24993 25258 25259 24994 f 25258 25523 25524 25259 f 25523 25788 25789 25524 f 25788 26053 26054 25789 f 26053 26318 26319 26054 f 26318 26583 26584 26319 f 26583 26848 26849 26584 f 26848 27113 27114 26849 f 27113 27378 27379 27114 f 27378 27643 27644 27379 f 27643 27908 27909 27644 f 27908 28173 28174 27909 f 28173 28438 28439 28174 f 28438 28703 28704 28439 f 28703 28968 28969 28704 f 28968 29233 29234 28969 f 29233 29498 29499 29234 f 29498 29763 29764 29499 f 29763 30028 30029 29764 f 30028 30293 30294 30029 f 30293 30558 30559 30294 f 30558 30823 30824 30559 f 30823 31088 31089 30824 f 31088 31353 31354 31089 f 31353 31618 31619 31354 f 31618 31883 31884 31619 f 4522 5649 5650 4523 f 5649 5914 5915 5650 f 5914 6179 6180 5915 f 6179 6444 6445 6180 f 6444 6709 6710 6445 f 6709 6974 6975 6710 f 6974 7239 7240 6975 f 7239 7504 7505 7240 f 7504 7769 7770 7505 f 7769 8034 8035 7770 f 8034 8299 8300 8035 f 8299 8564 8565 8300 f 8564 8829 8830 8565 f 8829 9094 9095 8830 f 9094 9359 9360 9095 f 9359 9624 9625 9360 f 9624 9889 9890 9625 f 9889 10154 10155 9890 f 10154 10419 10420 10155 f 10419 10684 10685 10420 f 10684 10949 10950 10685 f 10949 11214 11215 10950 f 11214 11479 11480 11215 f 11479 11744 11745 11480 f 11744 12009 12010 11745 f 12009 12274 12275 12010 f 12274 12539 12540 12275 f 12539 12804 12805 12540 f 12804 13069 13070 12805 f 13069 13334 13335 13070 f 13334 13599 13600 13335 f 13599 13864 13865 13600 f 13864 14129 14130 13865 f 14129 14394 14395 14130 f 14394 14659 14660 14395 f 14659 14924 14925 14660 f 14924 15189 15190 14925 f 15189 15454 15455 15190 f 15454 15719 15720 15455 f 15719 15984 15985 15720 f 15984 16249 16250 15985 f 16249 16514 16515 16250 f 16514 16779 16780 16515 f 16779 17044 17045 16780 f 17044 17309 17310 17045 f 17309 17574 17575 17310 f 17574 17839 17840 17575 f 17839 18104 18105 17840 f 18104 18369 18370 18105 f 18369 18634 18635 18370 f 18634 18899 18900 18635 f 18899 19164 19165 18900 f 19164 19429 19430 19165 f 19429 19694 19695 19430 f 19694 19959 19960 19695 f 19959 20224 20225 19960 f 20224 20489 20490 20225 f 20489 20754 20755 20490 f 20754 21019 21020 20755 f 21019 21284 21285 21020 f 21284 21549 21550 21285 f 21549 21814 21815 21550 f 21814 22079 22080 21815 f 22079 22344 22345 22080 f 22344 22609 22610 22345 f 22609 22874 22875 22610 f 22874 23139 23140 22875 f 23139 23404 23405 23140 f 23404 23669 23670 23405 f 23669 23934 23935 23670 f 23934 24199 24200 23935 f 24199 24464 24465 24200 f 24464 24729 24730 24465 f 24729 24994 24995 24730 f 24994 25259 25260 24995 f 25259 25524 25525 25260 f 25524 25789 25790 25525 f 25789 26054 26055 25790 f 26054 26319 26320 26055 f 26319 26584 26585 26320 f 26584 26849 26850 26585 f 26849 27114 27115 26850 f 27114 27379 27380 27115 f 27379 27644 27645 27380 f 27644 27909 27910 27645 f 27909 28174 28175 27910 f 28174 28439 28440 28175 f 28439 28704 28705 28440 f 28704 28969 28970 28705 f 28969 29234 29235 28970 f 29234 29499 29500 29235 f 29499 29764 29765 29500 f 29764 30029 30030 29765 f 30029 30294 30295 30030 f 30294 30559 30560 30295 f 30559 30824 30825 30560 f 30824 31089 31090 30825 f 31089 31354 31355 31090 f 31354 31619 31620 31355 f 31619 31884 31885 31620 f 4523 5650 5651 4524 f 5650 5915 5916 5651 f 5915 6180 6181 5916 f 6180 6445 6446 6181 f 6445 6710 6711 6446 f 6710 6975 6976 6711 f 6975 7240 7241 6976 f 7240 7505 7506 7241 f 7505 7770 7771 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18371 18106 f 18370 18635 18636 18371 f 18635 18900 18901 18636 f 18900 19165 19166 18901 f 19165 19430 19431 19166 f 19430 19695 19696 19431 f 19695 19960 19961 19696 f 19960 20225 20226 19961 f 20225 20490 20491 20226 f 20490 20755 20756 20491 f 20755 21020 21021 20756 f 21020 21285 21286 21021 f 21285 21550 21551 21286 f 21550 21815 21816 21551 f 21815 22080 22081 21816 f 22080 22345 22346 22081 f 22345 22610 22611 22346 f 22610 22875 22876 22611 f 22875 23140 23141 22876 f 23140 23405 23406 23141 f 23405 23670 23671 23406 f 23670 23935 23936 23671 f 23935 24200 24201 23936 f 24200 24465 24466 24201 f 24465 24730 24731 24466 f 24730 24995 24996 24731 f 24995 25260 25261 24996 f 25260 25525 25526 25261 f 25525 25790 25791 25526 f 25790 26055 26056 25791 f 26055 26320 26321 26056 f 26320 26585 26586 26321 f 26585 26850 26851 26586 f 26850 27115 27116 26851 f 27115 27380 27381 27116 f 27380 27645 27646 27381 f 27645 27910 27911 27646 f 27910 28175 28176 27911 f 28175 28440 28441 28176 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11485 11750 11751 11486 f 11750 12015 12016 11751 f 12015 12280 12281 12016 f 12280 12545 12546 12281 f 12545 12810 12811 12546 f 12810 13075 13076 12811 f 13075 13340 13341 13076 f 13340 13605 13606 13341 f 13605 13870 13871 13606 f 13870 14135 14136 13871 f 14135 14400 14401 14136 f 14400 14665 14666 14401 f 14665 14930 14931 14666 f 14930 15195 15196 14931 f 15195 15460 15461 15196 f 15460 15725 15726 15461 f 15725 15990 15991 15726 f 15990 16255 16256 15991 f 16255 16520 16521 16256 f 16520 16785 16786 16521 f 16785 17050 17051 16786 f 17050 17315 17316 17051 f 17315 17580 17581 17316 f 17580 17845 17846 17581 f 17845 18110 18111 17846 f 18110 18375 18376 18111 f 18375 18640 18641 18376 f 18640 18905 18906 18641 f 18905 19170 19171 18906 f 19170 19435 19436 19171 f 19435 19700 19701 19436 f 19700 19965 19966 19701 f 19965 20230 20231 19966 f 20230 20495 20496 20231 f 20495 20760 20761 20496 f 20760 21025 21026 20761 f 21025 21290 21291 21026 f 21290 21555 21556 21291 f 21555 21820 21821 21556 f 21820 22085 22086 21821 f 22085 22350 22351 22086 f 22350 22615 22616 22351 f 22615 22880 22881 22616 f 22880 23145 23146 22881 f 23145 23410 23411 23146 f 23410 23675 23676 23411 f 23675 23940 23941 23676 f 23940 24205 24206 23941 f 24205 24470 24471 24206 f 24470 24735 24736 24471 f 24735 25000 25001 24736 f 25000 25265 25266 25001 f 25265 25530 25531 25266 f 25530 25795 25796 25531 f 25795 26060 26061 25796 f 26060 26325 26326 26061 f 26325 26590 26591 26326 f 26590 26855 26856 26591 f 26855 27120 27121 26856 f 27120 27385 27386 27121 f 27385 27650 27651 27386 f 27650 27915 27916 27651 f 27915 28180 28181 27916 f 28180 28445 28446 28181 f 28445 28710 28711 28446 f 28710 28975 28976 28711 f 28975 29240 29241 28976 f 29240 29505 29506 29241 f 29505 29770 29771 29506 f 29770 30035 30036 29771 f 30035 30300 30301 30036 f 30300 30565 30566 30301 f 30565 30830 30831 30566 f 30830 31095 31096 30831 f 31095 31360 31361 31096 f 31360 31625 31626 31361 f 31625 31890 31891 31626 f 4529 5656 5657 4530 f 5656 5921 5922 5657 f 5921 6186 6187 5922 f 6186 6451 6452 6187 f 6451 6716 6717 6452 f 6716 6981 6982 6717 f 6981 7246 7247 6982 f 7246 7511 7512 7247 f 7511 7776 7777 7512 f 7776 8041 8042 7777 f 8041 8306 8307 8042 f 8306 8571 8572 8307 f 8571 8836 8837 8572 f 8836 9101 9102 8837 f 9101 9366 9367 9102 f 9366 9631 9632 9367 f 9631 9896 9897 9632 f 9896 10161 10162 9897 f 10161 10426 10427 10162 f 10426 10691 10692 10427 f 10691 10956 10957 10692 f 10956 11221 11222 10957 f 11221 11486 11487 11222 f 11486 11751 11752 11487 f 11751 12016 12017 11752 f 12016 12281 12282 12017 f 12281 12546 12547 12282 f 12546 12811 12812 12547 f 12811 13076 13077 12812 f 13076 13341 13342 13077 f 13341 13606 13607 13342 f 13606 13871 13872 13607 f 13871 14136 14137 13872 f 14136 14401 14402 14137 f 14401 14666 14667 14402 f 14666 14931 14932 14667 f 14931 15196 15197 14932 f 15196 15461 15462 15197 f 15461 15726 15727 15462 f 15726 15991 15992 15727 f 15991 16256 16257 15992 f 16256 16521 16522 16257 f 16521 16786 16787 16522 f 16786 17051 17052 16787 f 17051 17316 17317 17052 f 17316 17581 17582 17317 f 17581 17846 17847 17582 f 17846 18111 18112 17847 f 18111 18376 18377 18112 f 18376 18641 18642 18377 f 18641 18906 18907 18642 f 18906 19171 19172 18907 f 19171 19436 19437 19172 f 19436 19701 19702 19437 f 19701 19966 19967 19702 f 19966 20231 20232 19967 f 20231 20496 20497 20232 f 20496 20761 20762 20497 f 20761 21026 21027 20762 f 21026 21291 21292 21027 f 21291 21556 21557 21292 f 21556 21821 21822 21557 f 21821 22086 22087 21822 f 22086 22351 22352 22087 f 22351 22616 22617 22352 f 22616 22881 22882 22617 f 22881 23146 23147 22882 f 23146 23411 23412 23147 f 23411 23676 23677 23412 f 23676 23941 23942 23677 f 23941 24206 24207 23942 f 24206 24471 24472 24207 f 24471 24736 24737 24472 f 24736 25001 25002 24737 f 25001 25266 25267 25002 f 25266 25531 25532 25267 f 25531 25796 25797 25532 f 25796 26061 26062 25797 f 26061 26326 26327 26062 f 26326 26591 26592 26327 f 26591 26856 26857 26592 f 26856 27121 27122 26857 f 27121 27386 27387 27122 f 27386 27651 27652 27387 f 27651 27916 27917 27652 f 27916 28181 28182 27917 f 28181 28446 28447 28182 f 28446 28711 28712 28447 f 28711 28976 28977 28712 f 28976 29241 29242 28977 f 29241 29506 29507 29242 f 29506 29771 29772 29507 f 29771 30036 30037 29772 f 30036 30301 30302 30037 f 30301 30566 30567 30302 f 30566 30831 30832 30567 f 30831 31096 31097 30832 f 31096 31361 31362 31097 f 31361 31626 31627 31362 f 31626 31891 31892 31627 f 4530 5657 5658 4531 f 5657 5922 5923 5658 f 5922 6187 6188 5923 f 6187 6452 6453 6188 f 6452 6717 6718 6453 f 6717 6982 6983 6718 f 6982 7247 7248 6983 f 7247 7512 7513 7248 f 7512 7777 7778 7513 f 7777 8042 8043 7778 f 8042 8307 8308 8043 f 8307 8572 8573 8308 f 8572 8837 8838 8573 f 8837 9102 9103 8838 f 9102 9367 9368 9103 f 9367 9632 9633 9368 f 9632 9897 9898 9633 f 9897 10162 10163 9898 f 10162 10427 10428 10163 f 10427 10692 10693 10428 f 10692 10957 10958 10693 f 10957 11222 11223 10958 f 11222 11487 11488 11223 f 11487 11752 11753 11488 f 11752 12017 12018 11753 f 12017 12282 12283 12018 f 12282 12547 12548 12283 f 12547 12812 12813 12548 f 12812 13077 13078 12813 f 13077 13342 13343 13078 f 13342 13607 13608 13343 f 13607 13872 13873 13608 f 13872 14137 14138 13873 f 14137 14402 14403 14138 f 14402 14667 14668 14403 f 14667 14932 14933 14668 f 14932 15197 15198 14933 f 15197 15462 15463 15198 f 15462 15727 15728 15463 f 15727 15992 15993 15728 f 15992 16257 16258 15993 f 16257 16522 16523 16258 f 16522 16787 16788 16523 f 16787 17052 17053 16788 f 17052 17317 17318 17053 f 17317 17582 17583 17318 f 17582 17847 17848 17583 f 17847 18112 18113 17848 f 18112 18377 18378 18113 f 18377 18642 18643 18378 f 18642 18907 18908 18643 f 18907 19172 19173 18908 f 19172 19437 19438 19173 f 19437 19702 19703 19438 f 19702 19967 19968 19703 f 19967 20232 20233 19968 f 20232 20497 20498 20233 f 20497 20762 20763 20498 f 20762 21027 21028 20763 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31362 31363 31098 f 31362 31627 31628 31363 f 31627 31892 31893 31628 f 4531 5658 5659 4532 f 5658 5923 5924 5659 f 5923 6188 6189 5924 f 6188 6453 6454 6189 f 6453 6718 6719 6454 f 6718 6983 6984 6719 f 6983 7248 7249 6984 f 7248 7513 7514 7249 f 7513 7778 7779 7514 f 7778 8043 8044 7779 f 8043 8308 8309 8044 f 8308 8573 8574 8309 f 8573 8838 8839 8574 f 8838 9103 9104 8839 f 9103 9368 9369 9104 f 9368 9633 9634 9369 f 9633 9898 9899 9634 f 9898 10163 10164 9899 f 10163 10428 10429 10164 f 10428 10693 10694 10429 f 10693 10958 10959 10694 f 10958 11223 11224 10959 f 11223 11488 11489 11224 f 11488 11753 11754 11489 f 11753 12018 12019 11754 f 12018 12283 12284 12019 f 12283 12548 12549 12284 f 12548 12813 12814 12549 f 12813 13078 13079 12814 f 13078 13343 13344 13079 f 13343 13608 13609 13344 f 13608 13873 13874 13609 f 13873 14138 14139 13874 f 14138 14403 14404 14139 f 14403 14668 14669 14404 f 14668 14933 14934 14669 f 14933 15198 15199 14934 f 15198 15463 15464 15199 f 15463 15728 15729 15464 f 15728 15993 15994 15729 f 15993 16258 16259 15994 f 16258 16523 16524 16259 f 16523 16788 16789 16524 f 16788 17053 17054 16789 f 17053 17318 17319 17054 f 17318 17583 17584 17319 f 17583 17848 17849 17584 f 17848 18113 18114 17849 f 18113 18378 18379 18114 f 18378 18643 18644 18379 f 18643 18908 18909 18644 f 18908 19173 19174 18909 f 19173 19438 19439 19174 f 19438 19703 19704 19439 f 19703 19968 19969 19704 f 19968 20233 20234 19969 f 20233 20498 20499 20234 f 20498 20763 20764 20499 f 20763 21028 21029 20764 f 21028 21293 21294 21029 f 21293 21558 21559 21294 f 21558 21823 21824 21559 f 21823 22088 22089 21824 f 22088 22353 22354 22089 f 22353 22618 22619 22354 f 22618 22883 22884 22619 f 22883 23148 23149 22884 f 23148 23413 23414 23149 f 23413 23678 23679 23414 f 23678 23943 23944 23679 f 23943 24208 24209 23944 f 24208 24473 24474 24209 f 24473 24738 24739 24474 f 24738 25003 25004 24739 f 25003 25268 25269 25004 f 25268 25533 25534 25269 f 25533 25798 25799 25534 f 25798 26063 26064 25799 f 26063 26328 26329 26064 f 26328 26593 26594 26329 f 26593 26858 26859 26594 f 26858 27123 27124 26859 f 27123 27388 27389 27124 f 27388 27653 27654 27389 f 27653 27918 27919 27654 f 27918 28183 28184 27919 f 28183 28448 28449 28184 f 28448 28713 28714 28449 f 28713 28978 28979 28714 f 28978 29243 29244 28979 f 29243 29508 29509 29244 f 29508 29773 29774 29509 f 29773 30038 30039 29774 f 30038 30303 30304 30039 f 30303 30568 30569 30304 f 30568 30833 30834 30569 f 30833 31098 31099 30834 f 31098 31363 31364 31099 f 31363 31628 31629 31364 f 31628 31893 31894 31629 f 4532 5659 5660 4533 f 5659 5924 5925 5660 f 5924 6189 6190 5925 f 6189 6454 6455 6190 f 6454 6719 6720 6455 f 6719 6984 6985 6720 f 6984 7249 7250 6985 f 7249 7514 7515 7250 f 7514 7779 7780 7515 f 7779 8044 8045 7780 f 8044 8309 8310 8045 f 8309 8574 8575 8310 f 8574 8839 8840 8575 f 8839 9104 9105 8840 f 9104 9369 9370 9105 f 9369 9634 9635 9370 f 9634 9899 9900 9635 f 9899 10164 10165 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20499 20500 20235 f 20499 20764 20765 20500 f 20764 21029 21030 20765 f 21029 21294 21295 21030 f 21294 21559 21560 21295 f 21559 21824 21825 21560 f 21824 22089 22090 21825 f 22089 22354 22355 22090 f 22354 22619 22620 22355 f 22619 22884 22885 22620 f 22884 23149 23150 22885 f 23149 23414 23415 23150 f 23414 23679 23680 23415 f 23679 23944 23945 23680 f 23944 24209 24210 23945 f 24209 24474 24475 24210 f 24474 24739 24740 24475 f 24739 25004 25005 24740 f 25004 25269 25270 25005 f 25269 25534 25535 25270 f 25534 25799 25800 25535 f 25799 26064 26065 25800 f 26064 26329 26330 26065 f 26329 26594 26595 26330 f 26594 26859 26860 26595 f 26859 27124 27125 26860 f 27124 27389 27390 27125 f 27389 27654 27655 27390 f 27654 27919 27920 27655 f 27919 28184 28185 27920 f 28184 28449 28450 28185 f 28449 28714 28715 28450 f 28714 28979 28980 28715 f 28979 29244 29245 28980 f 29244 29509 29510 29245 f 29509 29774 29775 29510 f 29774 30039 30040 29775 f 30039 30304 30305 30040 f 30304 30569 30570 30305 f 30569 30834 30835 30570 f 30834 31099 31100 30835 f 31099 31364 31365 31100 f 31364 31629 31630 31365 f 31629 31894 31895 31630 f 4533 5660 5661 4534 f 5660 5925 5926 5661 f 5925 6190 6191 5926 f 6190 6455 6456 6191 f 6455 6720 6721 6456 f 6720 6985 6986 6721 f 6985 7250 7251 6986 f 7250 7515 7516 7251 f 7515 7780 7781 7516 f 7780 8045 8046 7781 f 8045 8310 8311 8046 f 8310 8575 8576 8311 f 8575 8840 8841 8576 f 8840 9105 9106 8841 f 9105 9370 9371 9106 f 9370 9635 9636 9371 f 9635 9900 9901 9636 f 9900 10165 10166 9901 f 10165 10430 10431 10166 f 10430 10695 10696 10431 f 10695 10960 10961 10696 f 10960 11225 11226 10961 f 11225 11490 11491 11226 f 11490 11755 11756 11491 f 11755 12020 12021 11756 f 12020 12285 12286 12021 f 12285 12550 12551 12286 f 12550 12815 12816 12551 f 12815 13080 13081 12816 f 13080 13345 13346 13081 f 13345 13610 13611 13346 f 13610 13875 13876 13611 f 13875 14140 14141 13876 f 14140 14405 14406 14141 f 14405 14670 14671 14406 f 14670 14935 14936 14671 f 14935 15200 15201 14936 f 15200 15465 15466 15201 f 15465 15730 15731 15466 f 15730 15995 15996 15731 f 15995 16260 16261 15996 f 16260 16525 16526 16261 f 16525 16790 16791 16526 f 16790 17055 17056 16791 f 17055 17320 17321 17056 f 17320 17585 17586 17321 f 17585 17850 17851 17586 f 17850 18115 18116 17851 f 18115 18380 18381 18116 f 18380 18645 18646 18381 f 18645 18910 18911 18646 f 18910 19175 19176 18911 f 19175 19440 19441 19176 f 19440 19705 19706 19441 f 19705 19970 19971 19706 f 19970 20235 20236 19971 f 20235 20500 20501 20236 f 20500 20765 20766 20501 f 20765 21030 21031 20766 f 21030 21295 21296 21031 f 21295 21560 21561 21296 f 21560 21825 21826 21561 f 21825 22090 22091 21826 f 22090 22355 22356 22091 f 22355 22620 22621 22356 f 22620 22885 22886 22621 f 22885 23150 23151 22886 f 23150 23415 23416 23151 f 23415 23680 23681 23416 f 23680 23945 23946 23681 f 23945 24210 24211 23946 f 24210 24475 24476 24211 f 24475 24740 24741 24476 f 24740 25005 25006 24741 f 25005 25270 25271 25006 f 25270 25535 25536 25271 f 25535 25800 25801 25536 f 25800 26065 26066 25801 f 26065 26330 26331 26066 f 26330 26595 26596 26331 f 26595 26860 26861 26596 f 26860 27125 27126 26861 f 27125 27390 27391 27126 f 27390 27655 27656 27391 f 27655 27920 27921 27656 f 27920 28185 28186 27921 f 28185 28450 28451 28186 f 28450 28715 28716 28451 f 28715 28980 28981 28716 f 28980 29245 29246 28981 f 29245 29510 29511 29246 f 29510 29775 29776 29511 f 29775 30040 30041 29776 f 30040 30305 30306 30041 f 30305 30570 30571 30306 f 30570 30835 30836 30571 f 30835 31100 31101 30836 f 31100 31365 31366 31101 f 31365 31630 31631 31366 f 31630 31895 31896 31631 f 4534 5661 5662 4535 f 5661 5926 5927 5662 f 5926 6191 6192 5927 f 6191 6456 6457 6192 f 6456 6721 6722 6457 f 6721 6986 6987 6722 f 6986 7251 7252 6987 f 7251 7516 7517 7252 f 7516 7781 7782 7517 f 7781 8046 8047 7782 f 8046 8311 8312 8047 f 8311 8576 8577 8312 f 8576 8841 8842 8577 f 8841 9106 9107 8842 f 9106 9371 9372 9107 f 9371 9636 9637 9372 f 9636 9901 9902 9637 f 9901 10166 10167 9902 f 10166 10431 10432 10167 f 10431 10696 10697 10432 f 10696 10961 10962 10697 f 10961 11226 11227 10962 f 11226 11491 11492 11227 f 11491 11756 11757 11492 f 11756 12021 12022 11757 f 12021 12286 12287 12022 f 12286 12551 12552 12287 f 12551 12816 12817 12552 f 12816 13081 13082 12817 f 13081 13346 13347 13082 f 13346 13611 13612 13347 f 13611 13876 13877 13612 f 13876 14141 14142 13877 f 14141 14406 14407 14142 f 14406 14671 14672 14407 f 14671 14936 14937 14672 f 14936 15201 15202 14937 f 15201 15466 15467 15202 f 15466 15731 15732 15467 f 15731 15996 15997 15732 f 15996 16261 16262 15997 f 16261 16526 16527 16262 f 16526 16791 16792 16527 f 16791 17056 17057 16792 f 17056 17321 17322 17057 f 17321 17586 17587 17322 f 17586 17851 17852 17587 f 17851 18116 18117 17852 f 18116 18381 18382 18117 f 18381 18646 18647 18382 f 18646 18911 18912 18647 f 18911 19176 19177 18912 f 19176 19441 19442 19177 f 19441 19706 19707 19442 f 19706 19971 19972 19707 f 19971 20236 20237 19972 f 20236 20501 20502 20237 f 20501 20766 20767 20502 f 20766 21031 21032 20767 f 21031 21296 21297 21032 f 21296 21561 21562 21297 f 21561 21826 21827 21562 f 21826 22091 22092 21827 f 22091 22356 22357 22092 f 22356 22621 22622 22357 f 22621 22886 22887 22622 f 22886 23151 23152 22887 f 23151 23416 23417 23152 f 23416 23681 23682 23417 f 23681 23946 23947 23682 f 23946 24211 24212 23947 f 24211 24476 24477 24212 f 24476 24741 24742 24477 f 24741 25006 25007 24742 f 25006 25271 25272 25007 f 25271 25536 25537 25272 f 25536 25801 25802 25537 f 25801 26066 26067 25802 f 26066 26331 26332 26067 f 26331 26596 26597 26332 f 26596 26861 26862 26597 f 26861 27126 27127 26862 f 27126 27391 27392 27127 f 27391 27656 27657 27392 f 27656 27921 27922 27657 f 27921 28186 28187 27922 f 28186 28451 28452 28187 f 28451 28716 28717 28452 f 28716 28981 28982 28717 f 28981 29246 29247 28982 f 29246 29511 29512 29247 f 29511 29776 29777 29512 f 29776 30041 30042 29777 f 30041 30306 30307 30042 f 30306 30571 30572 30307 f 30571 30836 30837 30572 f 30836 31101 31102 30837 f 31101 31366 31367 31102 f 31366 31631 31632 31367 f 31631 31896 31897 31632 f 4535 5662 5663 4536 f 5662 5927 5928 5663 f 5927 6192 6193 5928 f 6192 6457 6458 6193 f 6457 6722 6723 6458 f 6722 6987 6988 6723 f 6987 7252 7253 6988 f 7252 7517 7518 7253 f 7517 7782 7783 7518 f 7782 8047 8048 7783 f 8047 8312 8313 8048 f 8312 8577 8578 8313 f 8577 8842 8843 8578 f 8842 9107 9108 8843 f 9107 9372 9373 9108 f 9372 9637 9638 9373 f 9637 9902 9903 9638 f 9902 10167 10168 9903 f 10167 10432 10433 10168 f 10432 10697 10698 10433 f 10697 10962 10963 10698 f 10962 11227 11228 10963 f 11227 11492 11493 11228 f 11492 11757 11758 11493 f 11757 12022 12023 11758 f 12022 12287 12288 12023 f 12287 12552 12553 12288 f 12552 12817 12818 12553 f 12817 13082 13083 12818 f 13082 13347 13348 13083 f 13347 13612 13613 13348 f 13612 13877 13878 13613 f 13877 14142 14143 13878 f 14142 14407 14408 14143 f 14407 14672 14673 14408 f 14672 14937 14938 14673 f 14937 15202 15203 14938 f 15202 15467 15468 15203 f 15467 15732 15733 15468 f 15732 15997 15998 15733 f 15997 16262 16263 15998 f 16262 16527 16528 16263 f 16527 16792 16793 16528 f 16792 17057 17058 16793 f 17057 17322 17323 17058 f 17322 17587 17588 17323 f 17587 17852 17853 17588 f 17852 18117 18118 17853 f 18117 18382 18383 18118 f 18382 18647 18648 18383 f 18647 18912 18913 18648 f 18912 19177 19178 18913 f 19177 19442 19443 19178 f 19442 19707 19708 19443 f 19707 19972 19973 19708 f 19972 20237 20238 19973 f 20237 20502 20503 20238 f 20502 20767 20768 20503 f 20767 21032 21033 20768 f 21032 21297 21298 21033 f 21297 21562 21563 21298 f 21562 21827 21828 21563 f 21827 22092 22093 21828 f 22092 22357 22358 22093 f 22357 22622 22623 22358 f 22622 22887 22888 22623 f 22887 23152 23153 22888 f 23152 23417 23418 23153 f 23417 23682 23683 23418 f 23682 23947 23948 23683 f 23947 24212 24213 23948 f 24212 24477 24478 24213 f 24477 24742 24743 24478 f 24742 25007 25008 24743 f 25007 25272 25273 25008 f 25272 25537 25538 25273 f 25537 25802 25803 25538 f 25802 26067 26068 25803 f 26067 26332 26333 26068 f 26332 26597 26598 26333 f 26597 26862 26863 26598 f 26862 27127 27128 26863 f 27127 27392 27393 27128 f 27392 27657 27658 27393 f 27657 27922 27923 27658 f 27922 28187 28188 27923 f 28187 28452 28453 28188 f 28452 28717 28718 28453 f 28717 28982 28983 28718 f 28982 29247 29248 28983 f 29247 29512 29513 29248 f 29512 29777 29778 29513 f 29777 30042 30043 29778 f 30042 30307 30308 30043 f 30307 30572 30573 30308 f 30572 30837 30838 30573 f 30837 31102 31103 30838 f 31102 31367 31368 31103 f 31367 31632 31633 31368 f 31632 31897 31898 31633 f 4536 5663 5664 4537 f 5663 5928 5929 5664 f 5928 6193 6194 5929 f 6193 6458 6459 6194 f 6458 6723 6724 6459 f 6723 6988 6989 6724 f 6988 7253 7254 6989 f 7253 7518 7519 7254 f 7518 7783 7784 7519 f 7783 8048 8049 7784 f 8048 8313 8314 8049 f 8313 8578 8579 8314 f 8578 8843 8844 8579 f 8843 9108 9109 8844 f 9108 9373 9374 9109 f 9373 9638 9639 9374 f 9638 9903 9904 9639 f 9903 10168 10169 9904 f 10168 10433 10434 10169 f 10433 10698 10699 10434 f 10698 10963 10964 10699 f 10963 11228 11229 10964 f 11228 11493 11494 11229 f 11493 11758 11759 11494 f 11758 12023 12024 11759 f 12023 12288 12289 12024 f 12288 12553 12554 12289 f 12553 12818 12819 12554 f 12818 13083 13084 12819 f 13083 13348 13349 13084 f 13348 13613 13614 13349 f 13613 13878 13879 13614 f 13878 14143 14144 13879 f 14143 14408 14409 14144 f 14408 14673 14674 14409 f 14673 14938 14939 14674 f 14938 15203 15204 14939 f 15203 15468 15469 15204 f 15468 15733 15734 15469 f 15733 15998 15999 15734 f 15998 16263 16264 15999 f 16263 16528 16529 16264 f 16528 16793 16794 16529 f 16793 17058 17059 16794 f 17058 17323 17324 17059 f 17323 17588 17589 17324 f 17588 17853 17854 17589 f 17853 18118 18119 17854 f 18118 18383 18384 18119 f 18383 18648 18649 18384 f 18648 18913 18914 18649 f 18913 19178 19179 18914 f 19178 19443 19444 19179 f 19443 19708 19709 19444 f 19708 19973 19974 19709 f 19973 20238 20239 19974 f 20238 20503 20504 20239 f 20503 20768 20769 20504 f 20768 21033 21034 20769 f 21033 21298 21299 21034 f 21298 21563 21564 21299 f 21563 21828 21829 21564 f 21828 22093 22094 21829 f 22093 22358 22359 22094 f 22358 22623 22624 22359 f 22623 22888 22889 22624 f 22888 23153 23154 22889 f 23153 23418 23419 23154 f 23418 23683 23684 23419 f 23683 23948 23949 23684 f 23948 24213 24214 23949 f 24213 24478 24479 24214 f 24478 24743 24744 24479 f 24743 25008 25009 24744 f 25008 25273 25274 25009 f 25273 25538 25539 25274 f 25538 25803 25804 25539 f 25803 26068 26069 25804 f 26068 26333 26334 26069 f 26333 26598 26599 26334 f 26598 26863 26864 26599 f 26863 27128 27129 26864 f 27128 27393 27394 27129 f 27393 27658 27659 27394 f 27658 27923 27924 27659 f 27923 28188 28189 27924 f 28188 28453 28454 28189 f 28453 28718 28719 28454 f 28718 28983 28984 28719 f 28983 29248 29249 28984 f 29248 29513 29514 29249 f 29513 29778 29779 29514 f 29778 30043 30044 29779 f 30043 30308 30309 30044 f 30308 30573 30574 30309 f 30573 30838 30839 30574 f 30838 31103 31104 30839 f 31103 31368 31369 31104 f 31368 31633 31634 31369 f 31633 31898 31899 31634 f 4537 5664 5665 4538 f 5664 5929 5930 5665 f 5929 6194 6195 5930 f 6194 6459 6460 6195 f 6459 6724 6725 6460 f 6724 6989 6990 6725 f 6989 7254 7255 6990 f 7254 7519 7520 7255 f 7519 7784 7785 7520 f 7784 8049 8050 7785 f 8049 8314 8315 8050 f 8314 8579 8580 8315 f 8579 8844 8845 8580 f 8844 9109 9110 8845 f 9109 9374 9375 9110 f 9374 9639 9640 9375 f 9639 9904 9905 9640 f 9904 10169 10170 9905 f 10169 10434 10435 10170 f 10434 10699 10700 10435 f 10699 10964 10965 10700 f 10964 11229 11230 10965 f 11229 11494 11495 11230 f 11494 11759 11760 11495 f 11759 12024 12025 11760 f 12024 12289 12290 12025 f 12289 12554 12555 12290 f 12554 12819 12820 12555 f 12819 13084 13085 12820 f 13084 13349 13350 13085 f 13349 13614 13615 13350 f 13614 13879 13880 13615 f 13879 14144 14145 13880 f 14144 14409 14410 14145 f 14409 14674 14675 14410 f 14674 14939 14940 14675 f 14939 15204 15205 14940 f 15204 15469 15470 15205 f 15469 15734 15735 15470 f 15734 15999 16000 15735 f 15999 16264 16265 16000 f 16264 16529 16530 16265 f 16529 16794 16795 16530 f 16794 17059 17060 16795 f 17059 17324 17325 17060 f 17324 17589 17590 17325 f 17589 17854 17855 17590 f 17854 18119 18120 17855 f 18119 18384 18385 18120 f 18384 18649 18650 18385 f 18649 18914 18915 18650 f 18914 19179 19180 18915 f 19179 19444 19445 19180 f 19444 19709 19710 19445 f 19709 19974 19975 19710 f 19974 20239 20240 19975 f 20239 20504 20505 20240 f 20504 20769 20770 20505 f 20769 21034 21035 20770 f 21034 21299 21300 21035 f 21299 21564 21565 21300 f 21564 21829 21830 21565 f 21829 22094 22095 21830 f 22094 22359 22360 22095 f 22359 22624 22625 22360 f 22624 22889 22890 22625 f 22889 23154 23155 22890 f 23154 23419 23420 23155 f 23419 23684 23685 23420 f 23684 23949 23950 23685 f 23949 24214 24215 23950 f 24214 24479 24480 24215 f 24479 24744 24745 24480 f 24744 25009 25010 24745 f 25009 25274 25275 25010 f 25274 25539 25540 25275 f 25539 25804 25805 25540 f 25804 26069 26070 25805 f 26069 26334 26335 26070 f 26334 26599 26600 26335 f 26599 26864 26865 26600 f 26864 27129 27130 26865 f 27129 27394 27395 27130 f 27394 27659 27660 27395 f 27659 27924 27925 27660 f 27924 28189 28190 27925 f 28189 28454 28455 28190 f 28454 28719 28720 28455 f 28719 28984 28985 28720 f 28984 29249 29250 28985 f 29249 29514 29515 29250 f 29514 29779 29780 29515 f 29779 30044 30045 29780 f 30044 30309 30310 30045 f 30309 30574 30575 30310 f 30574 30839 30840 30575 f 30839 31104 31105 30840 f 31104 31369 31370 31105 f 31369 31634 31635 31370 f 31634 31899 31900 31635 f 4538 5665 5666 4539 f 5665 5930 5931 5666 f 5930 6195 6196 5931 f 6195 6460 6461 6196 f 6460 6725 6726 6461 f 6725 6990 6991 6726 f 6990 7255 7256 6991 f 7255 7520 7521 7256 f 7520 7785 7786 7521 f 7785 8050 8051 7786 f 8050 8315 8316 8051 f 8315 8580 8581 8316 f 8580 8845 8846 8581 f 8845 9110 9111 8846 f 9110 9375 9376 9111 f 9375 9640 9641 9376 f 9640 9905 9906 9641 f 9905 10170 10171 9906 f 10170 10435 10436 10171 f 10435 10700 10701 10436 f 10700 10965 10966 10701 f 10965 11230 11231 10966 f 11230 11495 11496 11231 f 11495 11760 11761 11496 f 11760 12025 12026 11761 f 12025 12290 12291 12026 f 12290 12555 12556 12291 f 12555 12820 12821 12556 f 12820 13085 13086 12821 f 13085 13350 13351 13086 f 13350 13615 13616 13351 f 13615 13880 13881 13616 f 13880 14145 14146 13881 f 14145 14410 14411 14146 f 14410 14675 14676 14411 f 14675 14940 14941 14676 f 14940 15205 15206 14941 f 15205 15470 15471 15206 f 15470 15735 15736 15471 f 15735 16000 16001 15736 f 16000 16265 16266 16001 f 16265 16530 16531 16266 f 16530 16795 16796 16531 f 16795 17060 17061 16796 f 17060 17325 17326 17061 f 17325 17590 17591 17326 f 17590 17855 17856 17591 f 17855 18120 18121 17856 f 18120 18385 18386 18121 f 18385 18650 18651 18386 f 18650 18915 18916 18651 f 18915 19180 19181 18916 f 19180 19445 19446 19181 f 19445 19710 19711 19446 f 19710 19975 19976 19711 f 19975 20240 20241 19976 f 20240 20505 20506 20241 f 20505 20770 20771 20506 f 20770 21035 21036 20771 f 21035 21300 21301 21036 f 21300 21565 21566 21301 f 21565 21830 21831 21566 f 21830 22095 22096 21831 f 22095 22360 22361 22096 f 22360 22625 22626 22361 f 22625 22890 22891 22626 f 22890 23155 23156 22891 f 23155 23420 23421 23156 f 23420 23685 23686 23421 f 23685 23950 23951 23686 f 23950 24215 24216 23951 f 24215 24480 24481 24216 f 24480 24745 24746 24481 f 24745 25010 25011 24746 f 25010 25275 25276 25011 f 25275 25540 25541 25276 f 25540 25805 25806 25541 f 25805 26070 26071 25806 f 26070 26335 26336 26071 f 26335 26600 26601 26336 f 26600 26865 26866 26601 f 26865 27130 27131 26866 f 27130 27395 27396 27131 f 27395 27660 27661 27396 f 27660 27925 27926 27661 f 27925 28190 28191 27926 f 28190 28455 28456 28191 f 28455 28720 28721 28456 f 28720 28985 28986 28721 f 28985 29250 29251 28986 f 29250 29515 29516 29251 f 29515 29780 29781 29516 f 29780 30045 30046 29781 f 30045 30310 30311 30046 f 30310 30575 30576 30311 f 30575 30840 30841 30576 f 30840 31105 31106 30841 f 31105 31370 31371 31106 f 31370 31635 31636 31371 f 31635 31900 31901 31636 f 4539 5666 5667 4540 f 5666 5931 5932 5667 f 5931 6196 6197 5932 f 6196 6461 6462 6197 f 6461 6726 6727 6462 f 6726 6991 6992 6727 f 6991 7256 7257 6992 f 7256 7521 7522 7257 f 7521 7786 7787 7522 f 7786 8051 8052 7787 f 8051 8316 8317 8052 f 8316 8581 8582 8317 f 8581 8846 8847 8582 f 8846 9111 9112 8847 f 9111 9376 9377 9112 f 9376 9641 9642 9377 f 9641 9906 9907 9642 f 9906 10171 10172 9907 f 10171 10436 10437 10172 f 10436 10701 10702 10437 f 10701 10966 10967 10702 f 10966 11231 11232 10967 f 11231 11496 11497 11232 f 11496 11761 11762 11497 f 11761 12026 12027 11762 f 12026 12291 12292 12027 f 12291 12556 12557 12292 f 12556 12821 12822 12557 f 12821 13086 13087 12822 f 13086 13351 13352 13087 f 13351 13616 13617 13352 f 13616 13881 13882 13617 f 13881 14146 14147 13882 f 14146 14411 14412 14147 f 14411 14676 14677 14412 f 14676 14941 14942 14677 f 14941 15206 15207 14942 f 15206 15471 15472 15207 f 15471 15736 15737 15472 f 15736 16001 16002 15737 f 16001 16266 16267 16002 f 16266 16531 16532 16267 f 16531 16796 16797 16532 f 16796 17061 17062 16797 f 17061 17326 17327 17062 f 17326 17591 17592 17327 f 17591 17856 17857 17592 f 17856 18121 18122 17857 f 18121 18386 18387 18122 f 18386 18651 18652 18387 f 18651 18916 18917 18652 f 18916 19181 19182 18917 f 19181 19446 19447 19182 f 19446 19711 19712 19447 f 19711 19976 19977 19712 f 19976 20241 20242 19977 f 20241 20506 20507 20242 f 20506 20771 20772 20507 f 20771 21036 21037 20772 f 21036 21301 21302 21037 f 21301 21566 21567 21302 f 21566 21831 21832 21567 f 21831 22096 22097 21832 f 22096 22361 22362 22097 f 22361 22626 22627 22362 f 22626 22891 22892 22627 f 22891 23156 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17592 17857 17858 17593 f 17857 18122 18123 17858 f 18122 18387 18388 18123 f 18387 18652 18653 18388 f 18652 18917 18918 18653 f 18917 19182 19183 18918 f 19182 19447 19448 19183 f 19447 19712 19713 19448 f 19712 19977 19978 19713 f 19977 20242 20243 19978 f 20242 20507 20508 20243 f 20507 20772 20773 20508 f 20772 21037 21038 20773 f 21037 21302 21303 21038 f 21302 21567 21568 21303 f 21567 21832 21833 21568 f 21832 22097 22098 21833 f 22097 22362 22363 22098 f 22362 22627 22628 22363 f 22627 22892 22893 22628 f 22892 23157 23158 22893 f 23157 23422 23423 23158 f 23422 23687 23688 23423 f 23687 23952 23953 23688 f 23952 24217 24218 23953 f 24217 24482 24483 24218 f 24482 24747 24748 24483 f 24747 25012 25013 24748 f 25012 25277 25278 25013 f 25277 25542 25543 25278 f 25542 25807 25808 25543 f 25807 26072 26073 25808 f 26072 26337 26338 26073 f 26337 26602 26603 26338 f 26602 26867 26868 26603 f 26867 27132 27133 26868 f 27132 27397 27398 27133 f 27397 27662 27663 27398 f 27662 27927 27928 27663 f 27927 28192 28193 27928 f 28192 28457 28458 28193 f 28457 28722 28723 28458 f 28722 28987 28988 28723 f 28987 29252 29253 28988 f 29252 29517 29518 29253 f 29517 29782 29783 29518 f 29782 30047 30048 29783 f 30047 30312 30313 30048 f 30312 30577 30578 30313 f 30577 30842 30843 30578 f 30842 31107 31108 30843 f 31107 31372 31373 31108 f 31372 31637 31638 31373 f 31637 31902 31903 31638 f 4541 5668 5669 4542 f 5668 5933 5934 5669 f 5933 6198 6199 5934 f 6198 6463 6464 6199 f 6463 6728 6729 6464 f 6728 6993 6994 6729 f 6993 7258 7259 6994 f 7258 7523 7524 7259 f 7523 7788 7789 7524 f 7788 8053 8054 7789 f 8053 8318 8319 8054 f 8318 8583 8584 8319 f 8583 8848 8849 8584 f 8848 9113 9114 8849 f 9113 9378 9379 9114 f 9378 9643 9644 9379 f 9643 9908 9909 9644 f 9908 10173 10174 9909 f 10173 10438 10439 10174 f 10438 10703 10704 10439 f 10703 10968 10969 10704 f 10968 11233 11234 10969 f 11233 11498 11499 11234 f 11498 11763 11764 11499 f 11763 12028 12029 11764 f 12028 12293 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f 22363 22628 22629 22364 f 22628 22893 22894 22629 f 22893 23158 23159 22894 f 23158 23423 23424 23159 f 23423 23688 23689 23424 f 23688 23953 23954 23689 f 23953 24218 24219 23954 f 24218 24483 24484 24219 f 24483 24748 24749 24484 f 24748 25013 25014 24749 f 25013 25278 25279 25014 f 25278 25543 25544 25279 f 25543 25808 25809 25544 f 25808 26073 26074 25809 f 26073 26338 26339 26074 f 26338 26603 26604 26339 f 26603 26868 26869 26604 f 26868 27133 27134 26869 f 27133 27398 27399 27134 f 27398 27663 27664 27399 f 27663 27928 27929 27664 f 27928 28193 28194 27929 f 28193 28458 28459 28194 f 28458 28723 28724 28459 f 28723 28988 28989 28724 f 28988 29253 29254 28989 f 29253 29518 29519 29254 f 29518 29783 29784 29519 f 29783 30048 30049 29784 f 30048 30313 30314 30049 f 30313 30578 30579 30314 f 30578 30843 30844 30579 f 30843 31108 31109 30844 f 31108 31373 31374 31109 f 31373 31638 31639 31374 f 31638 31903 31904 31639 f 4542 5669 5670 4543 f 5669 5934 5935 5670 f 5934 6199 6200 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f 27134 27399 27400 27135 f 27399 27664 27665 27400 f 27664 27929 27930 27665 f 27929 28194 28195 27930 f 28194 28459 28460 28195 f 28459 28724 28725 28460 f 28724 28989 28990 28725 f 28989 29254 29255 28990 f 29254 29519 29520 29255 f 29519 29784 29785 29520 f 29784 30049 30050 29785 f 30049 30314 30315 30050 f 30314 30579 30580 30315 f 30579 30844 30845 30580 f 30844 31109 31110 30845 f 31109 31374 31375 31110 f 31374 31639 31640 31375 f 31639 31904 31905 31640 f 4543 5670 5671 4544 f 5670 5935 5936 5671 f 5935 6200 6201 5936 f 6200 6465 6466 6201 f 6465 6730 6731 6466 f 6730 6995 6996 6731 f 6995 7260 7261 6996 f 7260 7525 7526 7261 f 7525 7790 7791 7526 f 7790 8055 8056 7791 f 8055 8320 8321 8056 f 8320 8585 8586 8321 f 8585 8850 8851 8586 f 8850 9115 9116 8851 f 9115 9380 9381 9116 f 9380 9645 9646 9381 f 9645 9910 9911 9646 f 9910 10175 10176 9911 f 10175 10440 10441 10176 f 10440 10705 10706 10441 f 10705 10970 10971 10706 f 10970 11235 11236 10971 f 11235 11500 11501 11236 f 11500 11765 11766 11501 f 11765 12030 12031 11766 f 12030 12295 12296 12031 f 12295 12560 12561 12296 f 12560 12825 12826 12561 f 12825 13090 13091 12826 f 13090 13355 13356 13091 f 13355 13620 13621 13356 f 13620 13885 13886 13621 f 13885 14150 14151 13886 f 14150 14415 14416 14151 f 14415 14680 14681 14416 f 14680 14945 14946 14681 f 14945 15210 15211 14946 f 15210 15475 15476 15211 f 15475 15740 15741 15476 f 15740 16005 16006 15741 f 16005 16270 16271 16006 f 16270 16535 16536 16271 f 16535 16800 16801 16536 f 16800 17065 17066 16801 f 17065 17330 17331 17066 f 17330 17595 17596 17331 f 17595 17860 17861 17596 f 17860 18125 18126 17861 f 18125 18390 18391 18126 f 18390 18655 18656 18391 f 18655 18920 18921 18656 f 18920 19185 19186 18921 f 19185 19450 19451 19186 f 19450 19715 19716 19451 f 19715 19980 19981 19716 f 19980 20245 20246 19981 f 20245 20510 20511 20246 f 20510 20775 20776 20511 f 20775 21040 21041 20776 f 21040 21305 21306 21041 f 21305 21570 21571 21306 f 21570 21835 21836 21571 f 21835 22100 22101 21836 f 22100 22365 22366 22101 f 22365 22630 22631 22366 f 22630 22895 22896 22631 f 22895 23160 23161 22896 f 23160 23425 23426 23161 f 23425 23690 23691 23426 f 23690 23955 23956 23691 f 23955 24220 24221 23956 f 24220 24485 24486 24221 f 24485 24750 24751 24486 f 24750 25015 25016 24751 f 25015 25280 25281 25016 f 25280 25545 25546 25281 f 25545 25810 25811 25546 f 25810 26075 26076 25811 f 26075 26340 26341 26076 f 26340 26605 26606 26341 f 26605 26870 26871 26606 f 26870 27135 27136 26871 f 27135 27400 27401 27136 f 27400 27665 27666 27401 f 27665 27930 27931 27666 f 27930 28195 28196 27931 f 28195 28460 28461 28196 f 28460 28725 28726 28461 f 28725 28990 28991 28726 f 28990 29255 29256 28991 f 29255 29520 29521 29256 f 29520 29785 29786 29521 f 29785 30050 30051 29786 f 30050 30315 30316 30051 f 30315 30580 30581 30316 f 30580 30845 30846 30581 f 30845 31110 31111 30846 f 31110 31375 31376 31111 f 31375 31640 31641 31376 f 31640 31905 31906 31641 f 4544 5671 5672 4545 f 5671 5936 5937 5672 f 5936 6201 6202 5937 f 6201 6466 6467 6202 f 6466 6731 6732 6467 f 6731 6996 6997 6732 f 6996 7261 7262 6997 f 7261 7526 7527 7262 f 7526 7791 7792 7527 f 7791 8056 8057 7792 f 8056 8321 8322 8057 f 8321 8586 8587 8322 f 8586 8851 8852 8587 f 8851 9116 9117 8852 f 9116 9381 9382 9117 f 9381 9646 9647 9382 f 9646 9911 9912 9647 f 9911 10176 10177 9912 f 10176 10441 10442 10177 f 10441 10706 10707 10442 f 10706 10971 10972 10707 f 10971 11236 11237 10972 f 11236 11501 11502 11237 f 11501 11766 11767 11502 f 11766 12031 12032 11767 f 12031 12296 12297 12032 f 12296 12561 12562 12297 f 12561 12826 12827 12562 f 12826 13091 13092 12827 f 13091 13356 13357 13092 f 13356 13621 13622 13357 f 13621 13886 13887 13622 f 13886 14151 14152 13887 f 14151 14416 14417 14152 f 14416 14681 14682 14417 f 14681 14946 14947 14682 f 14946 15211 15212 14947 f 15211 15476 15477 15212 f 15476 15741 15742 15477 f 15741 16006 16007 15742 f 16006 16271 16272 16007 f 16271 16536 16537 16272 f 16536 16801 16802 16537 f 16801 17066 17067 16802 f 17066 17331 17332 17067 f 17331 17596 17597 17332 f 17596 17861 17862 17597 f 17861 18126 18127 17862 f 18126 18391 18392 18127 f 18391 18656 18657 18392 f 18656 18921 18922 18657 f 18921 19186 19187 18922 f 19186 19451 19452 19187 f 19451 19716 19717 19452 f 19716 19981 19982 19717 f 19981 20246 20247 19982 f 20246 20511 20512 20247 f 20511 20776 20777 20512 f 20776 21041 21042 20777 f 21041 21306 21307 21042 f 21306 21571 21572 21307 f 21571 21836 21837 21572 f 21836 22101 22102 21837 f 22101 22366 22367 22102 f 22366 22631 22632 22367 f 22631 22896 22897 22632 f 22896 23161 23162 22897 f 23161 23426 23427 23162 f 23426 23691 23692 23427 f 23691 23956 23957 23692 f 23956 24221 24222 23957 f 24221 24486 24487 24222 f 24486 24751 24752 24487 f 24751 25016 25017 24752 f 25016 25281 25282 25017 f 25281 25546 25547 25282 f 25546 25811 25812 25547 f 25811 26076 26077 25812 f 26076 26341 26342 26077 f 26341 26606 26607 26342 f 26606 26871 26872 26607 f 26871 27136 27137 26872 f 27136 27401 27402 27137 f 27401 27666 27667 27402 f 27666 27931 27932 27667 f 27931 28196 28197 27932 f 28196 28461 28462 28197 f 28461 28726 28727 28462 f 28726 28991 28992 28727 f 28991 29256 29257 28992 f 29256 29521 29522 29257 f 29521 29786 29787 29522 f 29786 30051 30052 29787 f 30051 30316 30317 30052 f 30316 30581 30582 30317 f 30581 30846 30847 30582 f 30846 31111 31112 30847 f 31111 31376 31377 31112 f 31376 31641 31642 31377 f 31641 31906 31907 31642 f 4545 5672 5673 4546 f 5672 5937 5938 5673 f 5937 6202 6203 5938 f 6202 6467 6468 6203 f 6467 6732 6733 6468 f 6732 6997 6998 6733 f 6997 7262 7263 6998 f 7262 7527 7528 7263 f 7527 7792 7793 7528 f 7792 8057 8058 7793 f 8057 8322 8323 8058 f 8322 8587 8588 8323 f 8587 8852 8853 8588 f 8852 9117 9118 8853 f 9117 9382 9383 9118 f 9382 9647 9648 9383 f 9647 9912 9913 9648 f 9912 10177 10178 9913 f 10177 10442 10443 10178 f 10442 10707 10708 10443 f 10707 10972 10973 10708 f 10972 11237 11238 10973 f 11237 11502 11503 11238 f 11502 11767 11768 11503 f 11767 12032 12033 11768 f 12032 12297 12298 12033 f 12297 12562 12563 12298 f 12562 12827 12828 12563 f 12827 13092 13093 12828 f 13092 13357 13358 13093 f 13357 13622 13623 13358 f 13622 13887 13888 13623 f 13887 14152 14153 13888 f 14152 14417 14418 14153 f 14417 14682 14683 14418 f 14682 14947 14948 14683 f 14947 15212 15213 14948 f 15212 15477 15478 15213 f 15477 15742 15743 15478 f 15742 16007 16008 15743 f 16007 16272 16273 16008 f 16272 16537 16538 16273 f 16537 16802 16803 16538 f 16802 17067 17068 16803 f 17067 17332 17333 17068 f 17332 17597 17598 17333 f 17597 17862 17863 17598 f 17862 18127 18128 17863 f 18127 18392 18393 18128 f 18392 18657 18658 18393 f 18657 18922 18923 18658 f 18922 19187 19188 18923 f 19187 19452 19453 19188 f 19452 19717 19718 19453 f 19717 19982 19983 19718 f 19982 20247 20248 19983 f 20247 20512 20513 20248 f 20512 20777 20778 20513 f 20777 21042 21043 20778 f 21042 21307 21308 21043 f 21307 21572 21573 21308 f 21572 21837 21838 21573 f 21837 22102 22103 21838 f 22102 22367 22368 22103 f 22367 22632 22633 22368 f 22632 22897 22898 22633 f 22897 23162 23163 22898 f 23162 23427 23428 23163 f 23427 23692 23693 23428 f 23692 23957 23958 23693 f 23957 24222 24223 23958 f 24222 24487 24488 24223 f 24487 24752 24753 24488 f 24752 25017 25018 24753 f 25017 25282 25283 25018 f 25282 25547 25548 25283 f 25547 25812 25813 25548 f 25812 26077 26078 25813 f 26077 26342 26343 26078 f 26342 26607 26608 26343 f 26607 26872 26873 26608 f 26872 27137 27138 26873 f 27137 27402 27403 27138 f 27402 27667 27668 27403 f 27667 27932 27933 27668 f 27932 28197 28198 27933 f 28197 28462 28463 28198 f 28462 28727 28728 28463 f 28727 28992 28993 28728 f 28992 29257 29258 28993 f 29257 29522 29523 29258 f 29522 29787 29788 29523 f 29787 30052 30053 29788 f 30052 30317 30318 30053 f 30317 30582 30583 30318 f 30582 30847 30848 30583 f 30847 31112 31113 30848 f 31112 31377 31378 31113 f 31377 31642 31643 31378 f 31642 31907 31908 31643 f 4546 5673 5674 4547 f 5673 5938 5939 5674 f 5938 6203 6204 5939 f 6203 6468 6469 6204 f 6468 6733 6734 6469 f 6733 6998 6999 6734 f 6998 7263 7264 6999 f 7263 7528 7529 7264 f 7528 7793 7794 7529 f 7793 8058 8059 7794 f 8058 8323 8324 8059 f 8323 8588 8589 8324 f 8588 8853 8854 8589 f 8853 9118 9119 8854 f 9118 9383 9384 9119 f 9383 9648 9649 9384 f 9648 9913 9914 9649 f 9913 10178 10179 9914 f 10178 10443 10444 10179 f 10443 10708 10709 10444 f 10708 10973 10974 10709 f 10973 11238 11239 10974 f 11238 11503 11504 11239 f 11503 11768 11769 11504 f 11768 12033 12034 11769 f 12033 12298 12299 12034 f 12298 12563 12564 12299 f 12563 12828 12829 12564 f 12828 13093 13094 12829 f 13093 13358 13359 13094 f 13358 13623 13624 13359 f 13623 13888 13889 13624 f 13888 14153 14154 13889 f 14153 14418 14419 14154 f 14418 14683 14684 14419 f 14683 14948 14949 14684 f 14948 15213 15214 14949 f 15213 15478 15479 15214 f 15478 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9915 f 10179 10444 10445 10180 f 10444 10709 10710 10445 f 10709 10974 10975 10710 f 10974 11239 11240 10975 f 11239 11504 11505 11240 f 11504 11769 11770 11505 f 11769 12034 12035 11770 f 12034 12299 12300 12035 f 12299 12564 12565 12300 f 12564 12829 12830 12565 f 12829 13094 13095 12830 f 13094 13359 13360 13095 f 13359 13624 13625 13360 f 13624 13889 13890 13625 f 13889 14154 14155 13890 f 14154 14419 14420 14155 f 14419 14684 14685 14420 f 14684 14949 14950 14685 f 14949 15214 15215 14950 f 15214 15479 15480 15215 f 15479 15744 15745 15480 f 15744 16009 16010 15745 f 16009 16274 16275 16010 f 16274 16539 16540 16275 f 16539 16804 16805 16540 f 16804 17069 17070 16805 f 17069 17334 17335 17070 f 17334 17599 17600 17335 f 17599 17864 17865 17600 f 17864 18129 18130 17865 f 18129 18394 18395 18130 f 18394 18659 18660 18395 f 18659 18924 18925 18660 f 18924 19189 19190 18925 f 19189 19454 19455 19190 f 19454 19719 19720 19455 f 19719 19984 19985 19720 f 19984 20249 20250 19985 f 20249 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f 23699 23964 23965 23700 f 23964 24229 24230 23965 f 24229 24494 24495 24230 f 24494 24759 24760 24495 f 24759 25024 25025 24760 f 25024 25289 25290 25025 f 25289 25554 25555 25290 f 25554 25819 25820 25555 f 25819 26084 26085 25820 f 26084 26349 26350 26085 f 26349 26614 26615 26350 f 26614 26879 26880 26615 f 26879 27144 27145 26880 f 27144 27409 27410 27145 f 27409 27674 27675 27410 f 27674 27939 27940 27675 f 27939 28204 28205 27940 f 28204 28469 28470 28205 f 28469 28734 28735 28470 f 28734 28999 29000 28735 f 28999 29264 29265 29000 f 29264 29529 29530 29265 f 29529 29794 29795 29530 f 29794 30059 30060 29795 f 30059 30324 30325 30060 f 30324 30589 30590 30325 f 30589 30854 30855 30590 f 30854 31119 31120 30855 f 31119 31384 31385 31120 f 31384 31649 31650 31385 f 31649 31914 31915 31650 f 4553 5680 5681 4554 f 5680 5945 5946 5681 f 5945 6210 6211 5946 f 6210 6475 6476 6211 f 6475 6740 6741 6476 f 6740 7005 7006 6741 f 7005 7270 7271 7006 f 7270 7535 7536 7271 f 7535 7800 7801 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12836 13101 13102 12837 f 13101 13366 13367 13102 f 13366 13631 13632 13367 f 13631 13896 13897 13632 f 13896 14161 14162 13897 f 14161 14426 14427 14162 f 14426 14691 14692 14427 f 14691 14956 14957 14692 f 14956 15221 15222 14957 f 15221 15486 15487 15222 f 15486 15751 15752 15487 f 15751 16016 16017 15752 f 16016 16281 16282 16017 f 16281 16546 16547 16282 f 16546 16811 16812 16547 f 16811 17076 17077 16812 f 17076 17341 17342 17077 f 17341 17606 17607 17342 f 17606 17871 17872 17607 f 17871 18136 18137 17872 f 18136 18401 18402 18137 f 18401 18666 18667 18402 f 18666 18931 18932 18667 f 18931 19196 19197 18932 f 19196 19461 19462 19197 f 19461 19726 19727 19462 f 19726 19991 19992 19727 f 19991 20256 20257 19992 f 20256 20521 20522 20257 f 20521 20786 20787 20522 f 20786 21051 21052 20787 f 21051 21316 21317 21052 f 21316 21581 21582 21317 f 21581 21846 21847 21582 f 21846 22111 22112 21847 f 22111 22376 22377 22112 f 22376 22641 22642 22377 f 22641 22906 22907 22642 f 22906 23171 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31392 31393 31128 f 31392 31657 31658 31393 f 31657 31922 31923 31658 f 4561 5688 5689 4562 f 5688 5953 5954 5689 f 5953 6218 6219 5954 f 6218 6483 6484 6219 f 6483 6748 6749 6484 f 6748 7013 7014 6749 f 7013 7278 7279 7014 f 7278 7543 7544 7279 f 7543 7808 7809 7544 f 7808 8073 8074 7809 f 8073 8338 8339 8074 f 8338 8603 8604 8339 f 8603 8868 8869 8604 f 8868 9133 9134 8869 f 9133 9398 9399 9134 f 9398 9663 9664 9399 f 9663 9928 9929 9664 f 9928 10193 10194 9929 f 10193 10458 10459 10194 f 10458 10723 10724 10459 f 10723 10988 10989 10724 f 10988 11253 11254 10989 f 11253 11518 11519 11254 f 11518 11783 11784 11519 f 11783 12048 12049 11784 f 12048 12313 12314 12049 f 12313 12578 12579 12314 f 12578 12843 12844 12579 f 12843 13108 13109 12844 f 13108 13373 13374 13109 f 13373 13638 13639 13374 f 13638 13903 13904 13639 f 13903 14168 14169 13904 f 14168 14433 14434 14169 f 14433 14698 14699 14434 f 14698 14963 14964 14699 f 14963 15228 15229 14964 f 15228 15493 15494 15229 f 15493 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25564 f 25828 26093 26094 25829 f 26093 26358 26359 26094 f 26358 26623 26624 26359 f 26623 26888 26889 26624 f 26888 27153 27154 26889 f 27153 27418 27419 27154 f 27418 27683 27684 27419 f 27683 27948 27949 27684 f 27948 28213 28214 27949 f 28213 28478 28479 28214 f 28478 28743 28744 28479 f 28743 29008 29009 28744 f 29008 29273 29274 29009 f 29273 29538 29539 29274 f 29538 29803 29804 29539 f 29803 30068 30069 29804 f 30068 30333 30334 30069 f 30333 30598 30599 30334 f 30598 30863 30864 30599 f 30863 31128 31129 30864 f 31128 31393 31394 31129 f 31393 31658 31659 31394 f 31658 31923 31924 31659 f 4562 5689 5690 4563 f 5689 5954 5955 5690 f 5954 6219 6220 5955 f 6219 6484 6485 6220 f 6484 6749 6750 6485 f 6749 7014 7015 6750 f 7014 7279 7280 7015 f 7279 7544 7545 7280 f 7544 7809 7810 7545 f 7809 8074 8075 7810 f 8074 8339 8340 8075 f 8339 8604 8605 8340 f 8604 8869 8870 8605 f 8869 9134 9135 8870 f 9134 9399 9400 9135 f 9399 9664 9665 9400 f 9664 9929 9930 9665 f 9929 10194 10195 9930 f 10194 10459 10460 10195 f 10459 10724 10725 10460 f 10724 10989 10990 10725 f 10989 11254 11255 10990 f 11254 11519 11520 11255 f 11519 11784 11785 11520 f 11784 12049 12050 11785 f 12049 12314 12315 12050 f 12314 12579 12580 12315 f 12579 12844 12845 12580 f 12844 13109 13110 12845 f 13109 13374 13375 13110 f 13374 13639 13640 13375 f 13639 13904 13905 13640 f 13904 14169 14170 13905 f 14169 14434 14435 14170 f 14434 14699 14700 14435 f 14699 14964 14965 14700 f 14964 15229 15230 14965 f 15229 15494 15495 15230 f 15494 15759 15760 15495 f 15759 16024 16025 15760 f 16024 16289 16290 16025 f 16289 16554 16555 16290 f 16554 16819 16820 16555 f 16819 17084 17085 16820 f 17084 17349 17350 17085 f 17349 17614 17615 17350 f 17614 17879 17880 17615 f 17879 18144 18145 17880 f 18144 18409 18410 18145 f 18409 18674 18675 18410 f 18674 18939 18940 18675 f 18939 19204 19205 18940 f 19204 19469 19470 19205 f 19469 19734 19735 19470 f 19734 19999 20000 19735 f 19999 20264 20265 20000 f 20264 20529 20530 20265 f 20529 20794 20795 20530 f 20794 21059 21060 20795 f 21059 21324 21325 21060 f 21324 21589 21590 21325 f 21589 21854 21855 21590 f 21854 22119 22120 21855 f 22119 22384 22385 22120 f 22384 22649 22650 22385 f 22649 22914 22915 22650 f 22914 23179 23180 22915 f 23179 23444 23445 23180 f 23444 23709 23710 23445 f 23709 23974 23975 23710 f 23974 24239 24240 23975 f 24239 24504 24505 24240 f 24504 24769 24770 24505 f 24769 25034 25035 24770 f 25034 25299 25300 25035 f 25299 25564 25565 25300 f 25564 25829 25830 25565 f 25829 26094 26095 25830 f 26094 26359 26360 26095 f 26359 26624 26625 26360 f 26624 26889 26890 26625 f 26889 27154 27155 26890 f 27154 27419 27420 27155 f 27419 27684 27685 27420 f 27684 27949 27950 27685 f 27949 28214 28215 27950 f 28214 28479 28480 28215 f 28479 28744 28745 28480 f 28744 29009 29010 28745 f 29009 29274 29275 29010 f 29274 29539 29540 29275 f 29539 29804 29805 29540 f 29804 30069 30070 29805 f 30069 30334 30335 30070 f 30334 30599 30600 30335 f 30599 30864 30865 30600 f 30864 31129 31130 30865 f 31129 31394 31395 31130 f 31394 31659 31660 31395 f 31659 31924 31925 31660 f 4563 5690 5691 4564 f 5690 5955 5956 5691 f 5955 6220 6221 5956 f 6220 6485 6486 6221 f 6485 6750 6751 6486 f 6750 7015 7016 6751 f 7015 7280 7281 7016 f 7280 7545 7546 7281 f 7545 7810 7811 7546 f 7810 8075 8076 7811 f 8075 8340 8341 8076 f 8340 8605 8606 8341 f 8605 8870 8871 8606 f 8870 9135 9136 8871 f 9135 9400 9401 9136 f 9400 9665 9666 9401 f 9665 9930 9931 9666 f 9930 10195 10196 9931 f 10195 10460 10461 10196 f 10460 10725 10726 10461 f 10725 10990 10991 10726 f 10990 11255 11256 10991 f 11255 11520 11521 11256 f 11520 11785 11786 11521 f 11785 12050 12051 11786 f 12050 12315 12316 12051 f 12315 12580 12581 12316 f 12580 12845 12846 12581 f 12845 13110 13111 12846 f 13110 13375 13376 13111 f 13375 13640 13641 13376 f 13640 13905 13906 13641 f 13905 14170 14171 13906 f 14170 14435 14436 14171 f 14435 14700 14701 14436 f 14700 14965 14966 14701 f 14965 15230 15231 14966 f 15230 15495 15496 15231 f 15495 15760 15761 15496 f 15760 16025 16026 15761 f 16025 16290 16291 16026 f 16290 16555 16556 16291 f 16555 16820 16821 16556 f 16820 17085 17086 16821 f 17085 17350 17351 17086 f 17350 17615 17616 17351 f 17615 17880 17881 17616 f 17880 18145 18146 17881 f 18145 18410 18411 18146 f 18410 18675 18676 18411 f 18675 18940 18941 18676 f 18940 19205 19206 18941 f 19205 19470 19471 19206 f 19470 19735 19736 19471 f 19735 20000 20001 19736 f 20000 20265 20266 20001 f 20265 20530 20531 20266 f 20530 20795 20796 20531 f 20795 21060 21061 20796 f 21060 21325 21326 21061 f 21325 21590 21591 21326 f 21590 21855 21856 21591 f 21855 22120 22121 21856 f 22120 22385 22386 22121 f 22385 22650 22651 22386 f 22650 22915 22916 22651 f 22915 23180 23181 22916 f 23180 23445 23446 23181 f 23445 23710 23711 23446 f 23710 23975 23976 23711 f 23975 24240 24241 23976 f 24240 24505 24506 24241 f 24505 24770 24771 24506 f 24770 25035 25036 24771 f 25035 25300 25301 25036 f 25300 25565 25566 25301 f 25565 25830 25831 25566 f 25830 26095 26096 25831 f 26095 26360 26361 26096 f 26360 26625 26626 26361 f 26625 26890 26891 26626 f 26890 27155 27156 26891 f 27155 27420 27421 27156 f 27420 27685 27686 27421 f 27685 27950 27951 27686 f 27950 28215 28216 27951 f 28215 28480 28481 28216 f 28480 28745 28746 28481 f 28745 29010 29011 28746 f 29010 29275 29276 29011 f 29275 29540 29541 29276 f 29540 29805 29806 29541 f 29805 30070 30071 29806 f 30070 30335 30336 30071 f 30335 30600 30601 30336 f 30600 30865 30866 30601 f 30865 31130 31131 30866 f 31130 31395 31396 31131 f 31395 31660 31661 31396 f 31660 31925 31926 31661 f 4564 5691 5692 4565 f 5691 5956 5957 5692 f 5956 6221 6222 5957 f 6221 6486 6487 6222 f 6486 6751 6752 6487 f 6751 7016 7017 6752 f 7016 7281 7282 7017 f 7281 7546 7547 7282 f 7546 7811 7812 7547 f 7811 8076 8077 7812 f 8076 8341 8342 8077 f 8341 8606 8607 8342 f 8606 8871 8872 8607 f 8871 9136 9137 8872 f 9136 9401 9402 9137 f 9401 9666 9667 9402 f 9666 9931 9932 9667 f 9931 10196 10197 9932 f 10196 10461 10462 10197 f 10461 10726 10727 10462 f 10726 10991 10992 10727 f 10991 11256 11257 10992 f 11256 11521 11522 11257 f 11521 11786 11787 11522 f 11786 12051 12052 11787 f 12051 12316 12317 12052 f 12316 12581 12582 12317 f 12581 12846 12847 12582 f 12846 13111 13112 12847 f 13111 13376 13377 13112 f 13376 13641 13642 13377 f 13641 13906 13907 13642 f 13906 14171 14172 13907 f 14171 14436 14437 14172 f 14436 14701 14702 14437 f 14701 14966 14967 14702 f 14966 15231 15232 14967 f 15231 15496 15497 15232 f 15496 15761 15762 15497 f 15761 16026 16027 15762 f 16026 16291 16292 16027 f 16291 16556 16557 16292 f 16556 16821 16822 16557 f 16821 17086 17087 16822 f 17086 17351 17352 17087 f 17351 17616 17617 17352 f 17616 17881 17882 17617 f 17881 18146 18147 17882 f 18146 18411 18412 18147 f 18411 18676 18677 18412 f 18676 18941 18942 18677 f 18941 19206 19207 18942 f 19206 19471 19472 19207 f 19471 19736 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f 29806 30071 30072 29807 f 30071 30336 30337 30072 f 30336 30601 30602 30337 f 30601 30866 30867 30602 f 30866 31131 31132 30867 f 31131 31396 31397 31132 f 31396 31661 31662 31397 f 31661 31926 31927 31662 f 4565 5692 5693 4566 f 5692 5957 5958 5693 f 5957 6222 6223 5958 f 6222 6487 6488 6223 f 6487 6752 6753 6488 f 6752 7017 7018 6753 f 7017 7282 7283 7018 f 7282 7547 7548 7283 f 7547 7812 7813 7548 f 7812 8077 8078 7813 f 8077 8342 8343 8078 f 8342 8607 8608 8343 f 8607 8872 8873 8608 f 8872 9137 9138 8873 f 9137 9402 9403 9138 f 9402 9667 9668 9403 f 9667 9932 9933 9668 f 9932 10197 10198 9933 f 10197 10462 10463 10198 f 10462 10727 10728 10463 f 10727 10992 10993 10728 f 10992 11257 11258 10993 f 11257 11522 11523 11258 f 11522 11787 11788 11523 f 11787 12052 12053 11788 f 12052 12317 12318 12053 f 12317 12582 12583 12318 f 12582 12847 12848 12583 f 12847 13112 13113 12848 f 13112 13377 13378 13113 f 13377 13642 13643 13378 f 13642 13907 13908 13643 f 13907 14172 14173 13908 f 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8344 f 8608 8873 8874 8609 f 8873 9138 9139 8874 f 9138 9403 9404 9139 f 9403 9668 9669 9404 f 9668 9933 9934 9669 f 9933 10198 10199 9934 f 10198 10463 10464 10199 f 10463 10728 10729 10464 f 10728 10993 10994 10729 f 10993 11258 11259 10994 f 11258 11523 11524 11259 f 11523 11788 11789 11524 f 11788 12053 12054 11789 f 12053 12318 12319 12054 f 12318 12583 12584 12319 f 12583 12848 12849 12584 f 12848 13113 13114 12849 f 13113 13378 13379 13114 f 13378 13643 13644 13379 f 13643 13908 13909 13644 f 13908 14173 14174 13909 f 14173 14438 14439 14174 f 14438 14703 14704 14439 f 14703 14968 14969 14704 f 14968 15233 15234 14969 f 15233 15498 15499 15234 f 15498 15763 15764 15499 f 15763 16028 16029 15764 f 16028 16293 16294 16029 f 16293 16558 16559 16294 f 16558 16823 16824 16559 f 16823 17088 17089 16824 f 17088 17353 17354 17089 f 17353 17618 17619 17354 f 17618 17883 17884 17619 f 17883 18148 18149 17884 f 18148 18413 18414 18149 f 18413 18678 18679 18414 f 18678 18943 18944 18679 f 18943 19208 19209 18944 f 19208 19473 19474 19209 f 19473 19738 19739 19474 f 19738 20003 20004 19739 f 20003 20268 20269 20004 f 20268 20533 20534 20269 f 20533 20798 20799 20534 f 20798 21063 21064 20799 f 21063 21328 21329 21064 f 21328 21593 21594 21329 f 21593 21858 21859 21594 f 21858 22123 22124 21859 f 22123 22388 22389 22124 f 22388 22653 22654 22389 f 22653 22918 22919 22654 f 22918 23183 23184 22919 f 23183 23448 23449 23184 f 23448 23713 23714 23449 f 23713 23978 23979 23714 f 23978 24243 24244 23979 f 24243 24508 24509 24244 f 24508 24773 24774 24509 f 24773 25038 25039 24774 f 25038 25303 25304 25039 f 25303 25568 25569 25304 f 25568 25833 25834 25569 f 25833 26098 26099 25834 f 26098 26363 26364 26099 f 26363 26628 26629 26364 f 26628 26893 26894 26629 f 26893 27158 27159 26894 f 27158 27423 27424 27159 f 27423 27688 27689 27424 f 27688 27953 27954 27689 f 27953 28218 28219 27954 f 28218 28483 28484 28219 f 28483 28748 28749 28484 f 28748 29013 29014 28749 f 29013 29278 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f 23714 23979 23980 23715 f 23979 24244 24245 23980 f 24244 24509 24510 24245 f 24509 24774 24775 24510 f 24774 25039 25040 24775 f 25039 25304 25305 25040 f 25304 25569 25570 25305 f 25569 25834 25835 25570 f 25834 26099 26100 25835 f 26099 26364 26365 26100 f 26364 26629 26630 26365 f 26629 26894 26895 26630 f 26894 27159 27160 26895 f 27159 27424 27425 27160 f 27424 27689 27690 27425 f 27689 27954 27955 27690 f 27954 28219 28220 27955 f 28219 28484 28485 28220 f 28484 28749 28750 28485 f 28749 29014 29015 28750 f 29014 29279 29280 29015 f 29279 29544 29545 29280 f 29544 29809 29810 29545 f 29809 30074 30075 29810 f 30074 30339 30340 30075 f 30339 30604 30605 30340 f 30604 30869 30870 30605 f 30869 31134 31135 30870 f 31134 31399 31400 31135 f 31399 31664 31665 31400 f 31664 31929 31930 31665 f 4568 5695 5696 4569 f 5695 5960 5961 5696 f 5960 6225 6226 5961 f 6225 6490 6491 6226 f 6490 6755 6756 6491 f 6755 7020 7021 6756 f 7020 7285 7286 7021 f 7285 7550 7551 7286 f 7550 7815 7816 7551 f 7815 8080 8081 7816 f 8080 8345 8346 8081 f 8345 8610 8611 8346 f 8610 8875 8876 8611 f 8875 9140 9141 8876 f 9140 9405 9406 9141 f 9405 9670 9671 9406 f 9670 9935 9936 9671 f 9935 10200 10201 9936 f 10200 10465 10466 10201 f 10465 10730 10731 10466 f 10730 10995 10996 10731 f 10995 11260 11261 10996 f 11260 11525 11526 11261 f 11525 11790 11791 11526 f 11790 12055 12056 11791 f 12055 12320 12321 12056 f 12320 12585 12586 12321 f 12585 12850 12851 12586 f 12850 13115 13116 12851 f 13115 13380 13381 13116 f 13380 13645 13646 13381 f 13645 13910 13911 13646 f 13910 14175 14176 13911 f 14175 14440 14441 14176 f 14440 14705 14706 14441 f 14705 14970 14971 14706 f 14970 15235 15236 14971 f 15235 15500 15501 15236 f 15500 15765 15766 15501 f 15765 16030 16031 15766 f 16030 16295 16296 16031 f 16295 16560 16561 16296 f 16560 16825 16826 16561 f 16825 17090 17091 16826 f 17090 17355 17356 17091 f 17355 17620 17621 17356 f 17620 17885 17886 17621 f 17885 18150 18151 17886 f 18150 18415 18416 18151 f 18415 18680 18681 18416 f 18680 18945 18946 18681 f 18945 19210 19211 18946 f 19210 19475 19476 19211 f 19475 19740 19741 19476 f 19740 20005 20006 19741 f 20005 20270 20271 20006 f 20270 20535 20536 20271 f 20535 20800 20801 20536 f 20800 21065 21066 20801 f 21065 21330 21331 21066 f 21330 21595 21596 21331 f 21595 21860 21861 21596 f 21860 22125 22126 21861 f 22125 22390 22391 22126 f 22390 22655 22656 22391 f 22655 22920 22921 22656 f 22920 23185 23186 22921 f 23185 23450 23451 23186 f 23450 23715 23716 23451 f 23715 23980 23981 23716 f 23980 24245 24246 23981 f 24245 24510 24511 24246 f 24510 24775 24776 24511 f 24775 25040 25041 24776 f 25040 25305 25306 25041 f 25305 25570 25571 25306 f 25570 25835 25836 25571 f 25835 26100 26101 25836 f 26100 26365 26366 26101 f 26365 26630 26631 26366 f 26630 26895 26896 26631 f 26895 27160 27161 26896 f 27160 27425 27426 27161 f 27425 27690 27691 27426 f 27690 27955 27956 27691 f 27955 28220 28221 27956 f 28220 28485 28486 28221 f 28485 28750 28751 28486 f 28750 29015 29016 28751 f 29015 29280 29281 29016 f 29280 29545 29546 29281 f 29545 29810 29811 29546 f 29810 30075 30076 29811 f 30075 30340 30341 30076 f 30340 30605 30606 30341 f 30605 30870 30871 30606 f 30870 31135 31136 30871 f 31135 31400 31401 31136 f 31400 31665 31666 31401 f 31665 31930 31931 31666 f 4569 5696 5697 4570 f 5696 5961 5962 5697 f 5961 6226 6227 5962 f 6226 6491 6492 6227 f 6491 6756 6757 6492 f 6756 7021 7022 6757 f 7021 7286 7287 7022 f 7286 7551 7552 7287 f 7551 7816 7817 7552 f 7816 8081 8082 7817 f 8081 8346 8347 8082 f 8346 8611 8612 8347 f 8611 8876 8877 8612 f 8876 9141 9142 8877 f 9141 9406 9407 9142 f 9406 9671 9672 9407 f 9671 9936 9937 9672 f 9936 10201 10202 9937 f 10201 10466 10467 10202 f 10466 10731 10732 10467 f 10731 10996 10997 10732 f 10996 11261 11262 10997 f 11261 11526 11527 11262 f 11526 11791 11792 11527 f 11791 12056 12057 11792 f 12056 12321 12322 12057 f 12321 12586 12587 12322 f 12586 12851 12852 12587 f 12851 13116 13117 12852 f 13116 13381 13382 13117 f 13381 13646 13647 13382 f 13646 13911 13912 13647 f 13911 14176 14177 13912 f 14176 14441 14442 14177 f 14441 14706 14707 14442 f 14706 14971 14972 14707 f 14971 15236 15237 14972 f 15236 15501 15502 15237 f 15501 15766 15767 15502 f 15766 16031 16032 15767 f 16031 16296 16297 16032 f 16296 16561 16562 16297 f 16561 16826 16827 16562 f 16826 17091 17092 16827 f 17091 17356 17357 17092 f 17356 17621 17622 17357 f 17621 17886 17887 17622 f 17886 18151 18152 17887 f 18151 18416 18417 18152 f 18416 18681 18682 18417 f 18681 18946 18947 18682 f 18946 19211 19212 18947 f 19211 19476 19477 19212 f 19476 19741 19742 19477 f 19741 20006 20007 19742 f 20006 20271 20272 20007 f 20271 20536 20537 20272 f 20536 20801 20802 20537 f 20801 21066 21067 20802 f 21066 21331 21332 21067 f 21331 21596 21597 21332 f 21596 21861 21862 21597 f 21861 22126 22127 21862 f 22126 22391 22392 22127 f 22391 22656 22657 22392 f 22656 22921 22922 22657 f 22921 23186 23187 22922 f 23186 23451 23452 23187 f 23451 23716 23717 23452 f 23716 23981 23982 23717 f 23981 24246 24247 23982 f 24246 24511 24512 24247 f 24511 24776 24777 24512 f 24776 25041 25042 24777 f 25041 25306 25307 25042 f 25306 25571 25572 25307 f 25571 25836 25837 25572 f 25836 26101 26102 25837 f 26101 26366 26367 26102 f 26366 26631 26632 26367 f 26631 26896 26897 26632 f 26896 27161 27162 26897 f 27161 27426 27427 27162 f 27426 27691 27692 27427 f 27691 27956 27957 27692 f 27956 28221 28222 27957 f 28221 28486 28487 28222 f 28486 28751 28752 28487 f 28751 29016 29017 28752 f 29016 29281 29282 29017 f 29281 29546 29547 29282 f 29546 29811 29812 29547 f 29811 30076 30077 29812 f 30076 30341 30342 30077 f 30341 30606 30607 30342 f 30606 30871 30872 30607 f 30871 31136 31137 30872 f 31136 31401 31402 31137 f 31401 31666 31667 31402 f 31666 31931 31932 31667 f 4570 5697 5698 4571 f 5697 5962 5963 5698 f 5962 6227 6228 5963 f 6227 6492 6493 6228 f 6492 6757 6758 6493 f 6757 7022 7023 6758 f 7022 7287 7288 7023 f 7287 7552 7553 7288 f 7552 7817 7818 7553 f 7817 8082 8083 7818 f 8082 8347 8348 8083 f 8347 8612 8613 8348 f 8612 8877 8878 8613 f 8877 9142 9143 8878 f 9142 9407 9408 9143 f 9407 9672 9673 9408 f 9672 9937 9938 9673 f 9937 10202 10203 9938 f 10202 10467 10468 10203 f 10467 10732 10733 10468 f 10732 10997 10998 10733 f 10997 11262 11263 10998 f 11262 11527 11528 11263 f 11527 11792 11793 11528 f 11792 12057 12058 11793 f 12057 12322 12323 12058 f 12322 12587 12588 12323 f 12587 12852 12853 12588 f 12852 13117 13118 12853 f 13117 13382 13383 13118 f 13382 13647 13648 13383 f 13647 13912 13913 13648 f 13912 14177 14178 13913 f 14177 14442 14443 14178 f 14442 14707 14708 14443 f 14707 14972 14973 14708 f 14972 15237 15238 14973 f 15237 15502 15503 15238 f 15502 15767 15768 15503 f 15767 16032 16033 15768 f 16032 16297 16298 16033 f 16297 16562 16563 16298 f 16562 16827 16828 16563 f 16827 17092 17093 16828 f 17092 17357 17358 17093 f 17357 17622 17623 17358 f 17622 17887 17888 17623 f 17887 18152 18153 17888 f 18152 18417 18418 18153 f 18417 18682 18683 18418 f 18682 18947 18948 18683 f 18947 19212 19213 18948 f 19212 19477 19478 19213 f 19477 19742 19743 19478 f 19742 20007 20008 19743 f 20007 20272 20273 20008 f 20272 20537 20538 20273 f 20537 20802 20803 20538 f 20802 21067 21068 20803 f 21067 21332 21333 21068 f 21332 21597 21598 21333 f 21597 21862 21863 21598 f 21862 22127 22128 21863 f 22127 22392 22393 22128 f 22392 22657 22658 22393 f 22657 22922 22923 22658 f 22922 23187 23188 22923 f 23187 23452 23453 23188 f 23452 23717 23718 23453 f 23717 23982 23983 23718 f 23982 24247 24248 23983 f 24247 24512 24513 24248 f 24512 24777 24778 24513 f 24777 25042 25043 24778 f 25042 25307 25308 25043 f 25307 25572 25573 25308 f 25572 25837 25838 25573 f 25837 26102 26103 25838 f 26102 26367 26368 26103 f 26367 26632 26633 26368 f 26632 26897 26898 26633 f 26897 27162 27163 26898 f 27162 27427 27428 27163 f 27427 27692 27693 27428 f 27692 27957 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25579 f 25843 26108 26109 25844 f 26108 26373 26374 26109 f 26373 26638 26639 26374 f 26638 26903 26904 26639 f 26903 27168 27169 26904 f 27168 27433 27434 27169 f 27433 27698 27699 27434 f 27698 27963 27964 27699 f 27963 28228 28229 27964 f 28228 28493 28494 28229 f 28493 28758 28759 28494 f 28758 29023 29024 28759 f 29023 29288 29289 29024 f 29288 29553 29554 29289 f 29553 29818 29819 29554 f 29818 30083 30084 29819 f 30083 30348 30349 30084 f 30348 30613 30614 30349 f 30613 30878 30879 30614 f 30878 31143 31144 30879 f 31143 31408 31409 31144 f 31408 31673 31674 31409 f 31673 31938 31939 31674 f 4577 5704 5705 4578 f 5704 5969 5970 5705 f 5969 6234 6235 5970 f 6234 6499 6500 6235 f 6499 6764 6765 6500 f 6764 7029 7030 6765 f 7029 7294 7295 7030 f 7294 7559 7560 7295 f 7559 7824 7825 7560 f 7824 8089 8090 7825 f 8089 8354 8355 8090 f 8354 8619 8620 8355 f 8619 8884 8885 8620 f 8884 9149 9150 8885 f 9149 9414 9415 9150 f 9414 9679 9680 9415 f 9679 9944 9945 9680 f 9944 10209 10210 9945 f 10209 10474 10475 10210 f 10474 10739 10740 10475 f 10739 11004 11005 10740 f 11004 11269 11270 11005 f 11269 11534 11535 11270 f 11534 11799 11800 11535 f 11799 12064 12065 11800 f 12064 12329 12330 12065 f 12329 12594 12595 12330 f 12594 12859 12860 12595 f 12859 13124 13125 12860 f 13124 13389 13390 13125 f 13389 13654 13655 13390 f 13654 13919 13920 13655 f 13919 14184 14185 13920 f 14184 14449 14450 14185 f 14449 14714 14715 14450 f 14714 14979 14980 14715 f 14979 15244 15245 14980 f 15244 15509 15510 15245 f 15509 15774 15775 15510 f 15774 16039 16040 15775 f 16039 16304 16305 16040 f 16304 16569 16570 16305 f 16569 16834 16835 16570 f 16834 17099 17100 16835 f 17099 17364 17365 17100 f 17364 17629 17630 17365 f 17629 17894 17895 17630 f 17894 18159 18160 17895 f 18159 18424 18425 18160 f 18424 18689 18690 18425 f 18689 18954 18955 18690 f 18954 19219 19220 18955 f 19219 19484 19485 19220 f 19484 19749 19750 19485 f 19749 20014 20015 19750 f 20014 20279 20280 20015 f 20279 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30350 f 30614 30879 30880 30615 f 30879 31144 31145 30880 f 31144 31409 31410 31145 f 31409 31674 31675 31410 f 31674 31939 31940 31675 f 4578 5705 5706 4579 f 5705 5970 5971 5706 f 5970 6235 6236 5971 f 6235 6500 6501 6236 f 6500 6765 6766 6501 f 6765 7030 7031 6766 f 7030 7295 7296 7031 f 7295 7560 7561 7296 f 7560 7825 7826 7561 f 7825 8090 8091 7826 f 8090 8355 8356 8091 f 8355 8620 8621 8356 f 8620 8885 8886 8621 f 8885 9150 9151 8886 f 9150 9415 9416 9151 f 9415 9680 9681 9416 f 9680 9945 9946 9681 f 9945 10210 10211 9946 f 10210 10475 10476 10211 f 10475 10740 10741 10476 f 10740 11005 11006 10741 f 11005 11270 11271 11006 f 11270 11535 11536 11271 f 11535 11800 11801 11536 f 11800 12065 12066 11801 f 12065 12330 12331 12066 f 12330 12595 12596 12331 f 12595 12860 12861 12596 f 12860 13125 13126 12861 f 13125 13390 13391 13126 f 13390 13655 13656 13391 f 13655 13920 13921 13656 f 13920 14185 14186 13921 f 14185 14450 14451 14186 f 14450 14715 14716 14451 f 14715 14980 14981 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25050 25315 25316 25051 f 25315 25580 25581 25316 f 25580 25845 25846 25581 f 25845 26110 26111 25846 f 26110 26375 26376 26111 f 26375 26640 26641 26376 f 26640 26905 26906 26641 f 26905 27170 27171 26906 f 27170 27435 27436 27171 f 27435 27700 27701 27436 f 27700 27965 27966 27701 f 27965 28230 28231 27966 f 28230 28495 28496 28231 f 28495 28760 28761 28496 f 28760 29025 29026 28761 f 29025 29290 29291 29026 f 29290 29555 29556 29291 f 29555 29820 29821 29556 f 29820 30085 30086 29821 f 30085 30350 30351 30086 f 30350 30615 30616 30351 f 30615 30880 30881 30616 f 30880 31145 31146 30881 f 31145 31410 31411 31146 f 31410 31675 31676 31411 f 31675 31940 31941 31676 f 4579 5706 5707 4580 f 5706 5971 5972 5707 f 5971 6236 6237 5972 f 6236 6501 6502 6237 f 6501 6766 6767 6502 f 6766 7031 7032 6767 f 7031 7296 7297 7032 f 7296 7561 7562 7297 f 7561 7826 7827 7562 f 7826 8091 8092 7827 f 8091 8356 8357 8092 f 8356 8621 8622 8357 f 8621 8886 8887 8622 f 8886 9151 9152 8887 f 9151 9416 9417 9152 f 9416 9681 9682 9417 f 9681 9946 9947 9682 f 9946 10211 10212 9947 f 10211 10476 10477 10212 f 10476 10741 10742 10477 f 10741 11006 11007 10742 f 11006 11271 11272 11007 f 11271 11536 11537 11272 f 11536 11801 11802 11537 f 11801 12066 12067 11802 f 12066 12331 12332 12067 f 12331 12596 12597 12332 f 12596 12861 12862 12597 f 12861 13126 13127 12862 f 13126 13391 13392 13127 f 13391 13656 13657 13392 f 13656 13921 13922 13657 f 13921 14186 14187 13922 f 14186 14451 14452 14187 f 14451 14716 14717 14452 f 14716 14981 14982 14717 f 14981 15246 15247 14982 f 15246 15511 15512 15247 f 15511 15776 15777 15512 f 15776 16041 16042 15777 f 16041 16306 16307 16042 f 16306 16571 16572 16307 f 16571 16836 16837 16572 f 16836 17101 17102 16837 f 17101 17366 17367 17102 f 17366 17631 17632 17367 f 17631 17896 17897 17632 f 17896 18161 18162 17897 f 18161 18426 18427 18162 f 18426 18691 18692 18427 f 18691 18956 18957 18692 f 18956 19221 19222 18957 f 19221 19486 19487 19222 f 19486 19751 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f 29821 30086 30087 29822 f 30086 30351 30352 30087 f 30351 30616 30617 30352 f 30616 30881 30882 30617 f 30881 31146 31147 30882 f 31146 31411 31412 31147 f 31411 31676 31677 31412 f 31676 31941 31942 31677 f 4580 5707 5708 4581 f 5707 5972 5973 5708 f 5972 6237 6238 5973 f 6237 6502 6503 6238 f 6502 6767 6768 6503 f 6767 7032 7033 6768 f 7032 7297 7298 7033 f 7297 7562 7563 7298 f 7562 7827 7828 7563 f 7827 8092 8093 7828 f 8092 8357 8358 8093 f 8357 8622 8623 8358 f 8622 8887 8888 8623 f 8887 9152 9153 8888 f 9152 9417 9418 9153 f 9417 9682 9683 9418 f 9682 9947 9948 9683 f 9947 10212 10213 9948 f 10212 10477 10478 10213 f 10477 10742 10743 10478 f 10742 11007 11008 10743 f 11007 11272 11273 11008 f 11272 11537 11538 11273 f 11537 11802 11803 11538 f 11802 12067 12068 11803 f 12067 12332 12333 12068 f 12332 12597 12598 12333 f 12597 12862 12863 12598 f 12862 13127 13128 12863 f 13127 13392 13393 13128 f 13392 13657 13658 13393 f 13657 13922 13923 13658 f 13922 14187 14188 13923 f 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8359 f 8623 8888 8889 8624 f 8888 9153 9154 8889 f 9153 9418 9419 9154 f 9418 9683 9684 9419 f 9683 9948 9949 9684 f 9948 10213 10214 9949 f 10213 10478 10479 10214 f 10478 10743 10744 10479 f 10743 11008 11009 10744 f 11008 11273 11274 11009 f 11273 11538 11539 11274 f 11538 11803 11804 11539 f 11803 12068 12069 11804 f 12068 12333 12334 12069 f 12333 12598 12599 12334 f 12598 12863 12864 12599 f 12863 13128 13129 12864 f 13128 13393 13394 13129 f 13393 13658 13659 13394 f 13658 13923 13924 13659 f 13923 14188 14189 13924 f 14188 14453 14454 14189 f 14453 14718 14719 14454 f 14718 14983 14984 14719 f 14983 15248 15249 14984 f 15248 15513 15514 15249 f 15513 15778 15779 15514 f 15778 16043 16044 15779 f 16043 16308 16309 16044 f 16308 16573 16574 16309 f 16573 16838 16839 16574 f 16838 17103 17104 16839 f 17103 17368 17369 17104 f 17368 17633 17634 17369 f 17633 17898 17899 17634 f 17898 18163 18164 17899 f 18163 18428 18429 18164 f 18428 18693 18694 18429 f 18693 18958 18959 18694 f 18958 19223 19224 18959 f 19223 19488 19489 19224 f 19488 19753 19754 19489 f 19753 20018 20019 19754 f 20018 20283 20284 20019 f 20283 20548 20549 20284 f 20548 20813 20814 20549 f 20813 21078 21079 20814 f 21078 21343 21344 21079 f 21343 21608 21609 21344 f 21608 21873 21874 21609 f 21873 22138 22139 21874 f 22138 22403 22404 22139 f 22403 22668 22669 22404 f 22668 22933 22934 22669 f 22933 23198 23199 22934 f 23198 23463 23464 23199 f 23463 23728 23729 23464 f 23728 23993 23994 23729 f 23993 24258 24259 23994 f 24258 24523 24524 24259 f 24523 24788 24789 24524 f 24788 25053 25054 24789 f 25053 25318 25319 25054 f 25318 25583 25584 25319 f 25583 25848 25849 25584 f 25848 26113 26114 25849 f 26113 26378 26379 26114 f 26378 26643 26644 26379 f 26643 26908 26909 26644 f 26908 27173 27174 26909 f 27173 27438 27439 27174 f 27438 27703 27704 27439 f 27703 27968 27969 27704 f 27968 28233 28234 27969 f 28233 28498 28499 28234 f 28498 28763 28764 28499 f 28763 29028 29029 28764 f 29028 29293 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f 23729 23994 23995 23730 f 23994 24259 24260 23995 f 24259 24524 24525 24260 f 24524 24789 24790 24525 f 24789 25054 25055 24790 f 25054 25319 25320 25055 f 25319 25584 25585 25320 f 25584 25849 25850 25585 f 25849 26114 26115 25850 f 26114 26379 26380 26115 f 26379 26644 26645 26380 f 26644 26909 26910 26645 f 26909 27174 27175 26910 f 27174 27439 27440 27175 f 27439 27704 27705 27440 f 27704 27969 27970 27705 f 27969 28234 28235 27970 f 28234 28499 28500 28235 f 28499 28764 28765 28500 f 28764 29029 29030 28765 f 29029 29294 29295 29030 f 29294 29559 29560 29295 f 29559 29824 29825 29560 f 29824 30089 30090 29825 f 30089 30354 30355 30090 f 30354 30619 30620 30355 f 30619 30884 30885 30620 f 30884 31149 31150 30885 f 31149 31414 31415 31150 f 31414 31679 31680 31415 f 31679 31944 31945 31680 f 4583 5710 5711 4584 f 5710 5975 5976 5711 f 5975 6240 6241 5976 f 6240 6505 6506 6241 f 6505 6770 6771 6506 f 6770 7035 7036 6771 f 7035 7300 7301 7036 f 7300 7565 7566 7301 f 7565 7830 7831 7566 f 7830 8095 8096 7831 f 8095 8360 8361 8096 f 8360 8625 8626 8361 f 8625 8890 8891 8626 f 8890 9155 9156 8891 f 9155 9420 9421 9156 f 9420 9685 9686 9421 f 9685 9950 9951 9686 f 9950 10215 10216 9951 f 10215 10480 10481 10216 f 10480 10745 10746 10481 f 10745 11010 11011 10746 f 11010 11275 11276 11011 f 11275 11540 11541 11276 f 11540 11805 11806 11541 f 11805 12070 12071 11806 f 12070 12335 12336 12071 f 12335 12600 12601 12336 f 12600 12865 12866 12601 f 12865 13130 13131 12866 f 13130 13395 13396 13131 f 13395 13660 13661 13396 f 13660 13925 13926 13661 f 13925 14190 14191 13926 f 14190 14455 14456 14191 f 14455 14720 14721 14456 f 14720 14985 14986 14721 f 14985 15250 15251 14986 f 15250 15515 15516 15251 f 15515 15780 15781 15516 f 15780 16045 16046 15781 f 16045 16310 16311 16046 f 16310 16575 16576 16311 f 16575 16840 16841 16576 f 16840 17105 17106 16841 f 17105 17370 17371 17106 f 17370 17635 17636 17371 f 17635 17900 17901 17636 f 17900 18165 18166 17901 f 18165 18430 18431 18166 f 18430 18695 18696 18431 f 18695 18960 18961 18696 f 18960 19225 19226 18961 f 19225 19490 19491 19226 f 19490 19755 19756 19491 f 19755 20020 20021 19756 f 20020 20285 20286 20021 f 20285 20550 20551 20286 f 20550 20815 20816 20551 f 20815 21080 21081 20816 f 21080 21345 21346 21081 f 21345 21610 21611 21346 f 21610 21875 21876 21611 f 21875 22140 22141 21876 f 22140 22405 22406 22141 f 22405 22670 22671 22406 f 22670 22935 22936 22671 f 22935 23200 23201 22936 f 23200 23465 23466 23201 f 23465 23730 23731 23466 f 23730 23995 23996 23731 f 23995 24260 24261 23996 f 24260 24525 24526 24261 f 24525 24790 24791 24526 f 24790 25055 25056 24791 f 25055 25320 25321 25056 f 25320 25585 25586 25321 f 25585 25850 25851 25586 f 25850 26115 26116 25851 f 26115 26380 26381 26116 f 26380 26645 26646 26381 f 26645 26910 26911 26646 f 26910 27175 27176 26911 f 27175 27440 27441 27176 f 27440 27705 27706 27441 f 27705 27970 27971 27706 f 27970 28235 28236 27971 f 28235 28500 28501 28236 f 28500 28765 28766 28501 f 28765 29030 29031 28766 f 29030 29295 29296 29031 f 29295 29560 29561 29296 f 29560 29825 29826 29561 f 29825 30090 30091 29826 f 30090 30355 30356 30091 f 30355 30620 30621 30356 f 30620 30885 30886 30621 f 30885 31150 31151 30886 f 31150 31415 31416 31151 f 31415 31680 31681 31416 f 31680 31945 31946 31681 f 4584 5711 5712 4585 f 5711 5976 5977 5712 f 5976 6241 6242 5977 f 6241 6506 6507 6242 f 6506 6771 6772 6507 f 6771 7036 7037 6772 f 7036 7301 7302 7037 f 7301 7566 7567 7302 f 7566 7831 7832 7567 f 7831 8096 8097 7832 f 8096 8361 8362 8097 f 8361 8626 8627 8362 f 8626 8891 8892 8627 f 8891 9156 9157 8892 f 9156 9421 9422 9157 f 9421 9686 9687 9422 f 9686 9951 9952 9687 f 9951 10216 10217 9952 f 10216 10481 10482 10217 f 10481 10746 10747 10482 f 10746 11011 11012 10747 f 11011 11276 11277 11012 f 11276 11541 11542 11277 f 11541 11806 11807 11542 f 11806 12071 12072 11807 f 12071 12336 12337 12072 f 12336 12601 12602 12337 f 12601 12866 12867 12602 f 12866 13131 13132 12867 f 13131 13396 13397 13132 f 13396 13661 13662 13397 f 13661 13926 13927 13662 f 13926 14191 14192 13927 f 14191 14456 14457 14192 f 14456 14721 14722 14457 f 14721 14986 14987 14722 f 14986 15251 15252 14987 f 15251 15516 15517 15252 f 15516 15781 15782 15517 f 15781 16046 16047 15782 f 16046 16311 16312 16047 f 16311 16576 16577 16312 f 16576 16841 16842 16577 f 16841 17106 17107 16842 f 17106 17371 17372 17107 f 17371 17636 17637 17372 f 17636 17901 17902 17637 f 17901 18166 18167 17902 f 18166 18431 18432 18167 f 18431 18696 18697 18432 f 18696 18961 18962 18697 f 18961 19226 19227 18962 f 19226 19491 19492 19227 f 19491 19756 19757 19492 f 19756 20021 20022 19757 f 20021 20286 20287 20022 f 20286 20551 20552 20287 f 20551 20816 20817 20552 f 20816 21081 21082 20817 f 21081 21346 21347 21082 f 21346 21611 21612 21347 f 21611 21876 21877 21612 f 21876 22141 22142 21877 f 22141 22406 22407 22142 f 22406 22671 22672 22407 f 22671 22936 22937 22672 f 22936 23201 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6773 f 7037 7302 7303 7038 f 7302 7567 7568 7303 f 7567 7832 7833 7568 f 7832 8097 8098 7833 f 8097 8362 8363 8098 f 8362 8627 8628 8363 f 8627 8892 8893 8628 f 8892 9157 9158 8893 f 9157 9422 9423 9158 f 9422 9687 9688 9423 f 9687 9952 9953 9688 f 9952 10217 10218 9953 f 10217 10482 10483 10218 f 10482 10747 10748 10483 f 10747 11012 11013 10748 f 11012 11277 11278 11013 f 11277 11542 11543 11278 f 11542 11807 11808 11543 f 11807 12072 12073 11808 f 12072 12337 12338 12073 f 12337 12602 12603 12338 f 12602 12867 12868 12603 f 12867 13132 13133 12868 f 13132 13397 13398 13133 f 13397 13662 13663 13398 f 13662 13927 13928 13663 f 13927 14192 14193 13928 f 14192 14457 14458 14193 f 14457 14722 14723 14458 f 14722 14987 14988 14723 f 14987 15252 15253 14988 f 15252 15517 15518 15253 f 15517 15782 15783 15518 f 15782 16047 16048 15783 f 16047 16312 16313 16048 f 16312 16577 16578 16313 f 16577 16842 16843 16578 f 16842 17107 17108 16843 f 17107 17372 17373 17108 f 17372 17637 17638 17373 f 17637 17902 17903 17638 f 17902 18167 18168 17903 f 18167 18432 18433 18168 f 18432 18697 18698 18433 f 18697 18962 18963 18698 f 18962 19227 19228 18963 f 19227 19492 19493 19228 f 19492 19757 19758 19493 f 19757 20022 20023 19758 f 20022 20287 20288 20023 f 20287 20552 20553 20288 f 20552 20817 20818 20553 f 20817 21082 21083 20818 f 21082 21347 21348 21083 f 21347 21612 21613 21348 f 21612 21877 21878 21613 f 21877 22142 22143 21878 f 22142 22407 22408 22143 f 22407 22672 22673 22408 f 22672 22937 22938 22673 f 22937 23202 23203 22938 f 23202 23467 23468 23203 f 23467 23732 23733 23468 f 23732 23997 23998 23733 f 23997 24262 24263 23998 f 24262 24527 24528 24263 f 24527 24792 24793 24528 f 24792 25057 25058 24793 f 25057 25322 25323 25058 f 25322 25587 25588 25323 f 25587 25852 25853 25588 f 25852 26117 26118 25853 f 26117 26382 26383 26118 f 26382 26647 26648 26383 f 26647 26912 26913 26648 f 26912 27177 27178 26913 f 27177 27442 27443 27178 f 27442 27707 27708 27443 f 27707 27972 27973 27708 f 27972 28237 28238 27973 f 28237 28502 28503 28238 f 28502 28767 28768 28503 f 28767 29032 29033 28768 f 29032 29297 29298 29033 f 29297 29562 29563 29298 f 29562 29827 29828 29563 f 29827 30092 30093 29828 f 30092 30357 30358 30093 f 30357 30622 30623 30358 f 30622 30887 30888 30623 f 30887 31152 31153 30888 f 31152 31417 31418 31153 f 31417 31682 31683 31418 f 31682 31947 31948 31683 f 4586 5713 5714 4587 f 5713 5978 5979 5714 f 5978 6243 6244 5979 f 6243 6508 6509 6244 f 6508 6773 6774 6509 f 6773 7038 7039 6774 f 7038 7303 7304 7039 f 7303 7568 7569 7304 f 7568 7833 7834 7569 f 7833 8098 8099 7834 f 8098 8363 8364 8099 f 8363 8628 8629 8364 f 8628 8893 8894 8629 f 8893 9158 9159 8894 f 9158 9423 9424 9159 f 9423 9688 9689 9424 f 9688 9953 9954 9689 f 9953 10218 10219 9954 f 10218 10483 10484 10219 f 10483 10748 10749 10484 f 10748 11013 11014 10749 f 11013 11278 11279 11014 f 11278 11543 11544 11279 f 11543 11808 11809 11544 f 11808 12073 12074 11809 f 12073 12338 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f 22408 22673 22674 22409 f 22673 22938 22939 22674 f 22938 23203 23204 22939 f 23203 23468 23469 23204 f 23468 23733 23734 23469 f 23733 23998 23999 23734 f 23998 24263 24264 23999 f 24263 24528 24529 24264 f 24528 24793 24794 24529 f 24793 25058 25059 24794 f 25058 25323 25324 25059 f 25323 25588 25589 25324 f 25588 25853 25854 25589 f 25853 26118 26119 25854 f 26118 26383 26384 26119 f 26383 26648 26649 26384 f 26648 26913 26914 26649 f 26913 27178 27179 26914 f 27178 27443 27444 27179 f 27443 27708 27709 27444 f 27708 27973 27974 27709 f 27973 28238 28239 27974 f 28238 28503 28504 28239 f 28503 28768 28769 28504 f 28768 29033 29034 28769 f 29033 29298 29299 29034 f 29298 29563 29564 29299 f 29563 29828 29829 29564 f 29828 30093 30094 29829 f 30093 30358 30359 30094 f 30358 30623 30624 30359 f 30623 30888 30889 30624 f 30888 31153 31154 30889 f 31153 31418 31419 31154 f 31418 31683 31684 31419 f 31683 31948 31949 31684 f 4587 5714 5715 4588 f 5714 5979 5980 5715 f 5979 6244 6245 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f 4589 5716 5717 4590 f 5716 5981 5982 5717 f 5981 6246 6247 5982 f 6246 6511 6512 6247 f 6511 6776 6777 6512 f 6776 7041 7042 6777 f 7041 7306 7307 7042 f 7306 7571 7572 7307 f 7571 7836 7837 7572 f 7836 8101 8102 7837 f 8101 8366 8367 8102 f 8366 8631 8632 8367 f 8631 8896 8897 8632 f 8896 9161 9162 8897 f 9161 9426 9427 9162 f 9426 9691 9692 9427 f 9691 9956 9957 9692 f 9956 10221 10222 9957 f 10221 10486 10487 10222 f 10486 10751 10752 10487 f 10751 11016 11017 10752 f 11016 11281 11282 11017 f 11281 11546 11547 11282 f 11546 11811 11812 11547 f 11811 12076 12077 11812 f 12076 12341 12342 12077 f 12341 12606 12607 12342 f 12606 12871 12872 12607 f 12871 13136 13137 12872 f 13136 13401 13402 13137 f 13401 13666 13667 13402 f 13666 13931 13932 13667 f 13931 14196 14197 13932 f 14196 14461 14462 14197 f 14461 14726 14727 14462 f 14726 14991 14992 14727 f 14991 15256 15257 14992 f 15256 15521 15522 15257 f 15521 15786 15787 15522 f 15786 16051 16052 15787 f 16051 16316 16317 16052 f 16316 16581 16582 16317 f 16581 16846 16847 16582 f 16846 17111 17112 16847 f 17111 17376 17377 17112 f 17376 17641 17642 17377 f 17641 17906 17907 17642 f 17906 18171 18172 17907 f 18171 18436 18437 18172 f 18436 18701 18702 18437 f 18701 18966 18967 18702 f 18966 19231 19232 18967 f 19231 19496 19497 19232 f 19496 19761 19762 19497 f 19761 20026 20027 19762 f 20026 20291 20292 20027 f 20291 20556 20557 20292 f 20556 20821 20822 20557 f 20821 21086 21087 20822 f 21086 21351 21352 21087 f 21351 21616 21617 21352 f 21616 21881 21882 21617 f 21881 22146 22147 21882 f 22146 22411 22412 22147 f 22411 22676 22677 22412 f 22676 22941 22942 22677 f 22941 23206 23207 22942 f 23206 23471 23472 23207 f 23471 23736 23737 23472 f 23736 24001 24002 23737 f 24001 24266 24267 24002 f 24266 24531 24532 24267 f 24531 24796 24797 24532 f 24796 25061 25062 24797 f 25061 25326 25327 25062 f 25326 25591 25592 25327 f 25591 25856 25857 25592 f 25856 26121 26122 25857 f 26121 26386 26387 26122 f 26386 26651 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25594 f 25858 26123 26124 25859 f 26123 26388 26389 26124 f 26388 26653 26654 26389 f 26653 26918 26919 26654 f 26918 27183 27184 26919 f 27183 27448 27449 27184 f 27448 27713 27714 27449 f 27713 27978 27979 27714 f 27978 28243 28244 27979 f 28243 28508 28509 28244 f 28508 28773 28774 28509 f 28773 29038 29039 28774 f 29038 29303 29304 29039 f 29303 29568 29569 29304 f 29568 29833 29834 29569 f 29833 30098 30099 29834 f 30098 30363 30364 30099 f 30363 30628 30629 30364 f 30628 30893 30894 30629 f 30893 31158 31159 30894 f 31158 31423 31424 31159 f 31423 31688 31689 31424 f 31688 31953 31954 31689 f 4592 5719 5720 4593 f 5719 5984 5985 5720 f 5984 6249 6250 5985 f 6249 6514 6515 6250 f 6514 6779 6780 6515 f 6779 7044 7045 6780 f 7044 7309 7310 7045 f 7309 7574 7575 7310 f 7574 7839 7840 7575 f 7839 8104 8105 7840 f 8104 8369 8370 8105 f 8369 8634 8635 8370 f 8634 8899 8900 8635 f 8899 9164 9165 8900 f 9164 9429 9430 9165 f 9429 9694 9695 9430 f 9694 9959 9960 9695 f 9959 10224 10225 9960 f 10224 10489 10490 10225 f 10489 10754 10755 10490 f 10754 11019 11020 10755 f 11019 11284 11285 11020 f 11284 11549 11550 11285 f 11549 11814 11815 11550 f 11814 12079 12080 11815 f 12079 12344 12345 12080 f 12344 12609 12610 12345 f 12609 12874 12875 12610 f 12874 13139 13140 12875 f 13139 13404 13405 13140 f 13404 13669 13670 13405 f 13669 13934 13935 13670 f 13934 14199 14200 13935 f 14199 14464 14465 14200 f 14464 14729 14730 14465 f 14729 14994 14995 14730 f 14994 15259 15260 14995 f 15259 15524 15525 15260 f 15524 15789 15790 15525 f 15789 16054 16055 15790 f 16054 16319 16320 16055 f 16319 16584 16585 16320 f 16584 16849 16850 16585 f 16849 17114 17115 16850 f 17114 17379 17380 17115 f 17379 17644 17645 17380 f 17644 17909 17910 17645 f 17909 18174 18175 17910 f 18174 18439 18440 18175 f 18439 18704 18705 18440 f 18704 18969 18970 18705 f 18969 19234 19235 18970 f 19234 19499 19500 19235 f 19499 19764 19765 19500 f 19764 20029 20030 19765 f 20029 20294 20295 20030 f 20294 20559 20560 20295 f 20559 20824 20825 20560 f 20824 21089 21090 20825 f 21089 21354 21355 21090 f 21354 21619 21620 21355 f 21619 21884 21885 21620 f 21884 22149 22150 21885 f 22149 22414 22415 22150 f 22414 22679 22680 22415 f 22679 22944 22945 22680 f 22944 23209 23210 22945 f 23209 23474 23475 23210 f 23474 23739 23740 23475 f 23739 24004 24005 23740 f 24004 24269 24270 24005 f 24269 24534 24535 24270 f 24534 24799 24800 24535 f 24799 25064 25065 24800 f 25064 25329 25330 25065 f 25329 25594 25595 25330 f 25594 25859 25860 25595 f 25859 26124 26125 25860 f 26124 26389 26390 26125 f 26389 26654 26655 26390 f 26654 26919 26920 26655 f 26919 27184 27185 26920 f 27184 27449 27450 27185 f 27449 27714 27715 27450 f 27714 27979 27980 27715 f 27979 28244 28245 27980 f 28244 28509 28510 28245 f 28509 28774 28775 28510 f 28774 29039 29040 28775 f 29039 29304 29305 29040 f 29304 29569 29570 29305 f 29569 29834 29835 29570 f 29834 30099 30100 29835 f 30099 30364 30365 30100 f 30364 30629 30630 30365 f 30629 30894 30895 30630 f 30894 31159 31160 30895 f 31159 31424 31425 31160 f 31424 31689 31690 31425 f 31689 31954 31955 31690 f 4593 5720 5721 4594 f 5720 5985 5986 5721 f 5985 6250 6251 5986 f 6250 6515 6516 6251 f 6515 6780 6781 6516 f 6780 7045 7046 6781 f 7045 7310 7311 7046 f 7310 7575 7576 7311 f 7575 7840 7841 7576 f 7840 8105 8106 7841 f 8105 8370 8371 8106 f 8370 8635 8636 8371 f 8635 8900 8901 8636 f 8900 9165 9166 8901 f 9165 9430 9431 9166 f 9430 9695 9696 9431 f 9695 9960 9961 9696 f 9960 10225 10226 9961 f 10225 10490 10491 10226 f 10490 10755 10756 10491 f 10755 11020 11021 10756 f 11020 11285 11286 11021 f 11285 11550 11551 11286 f 11550 11815 11816 11551 f 11815 12080 12081 11816 f 12080 12345 12346 12081 f 12345 12610 12611 12346 f 12610 12875 12876 12611 f 12875 13140 13141 12876 f 13140 13405 13406 13141 f 13405 13670 13671 13406 f 13670 13935 13936 13671 f 13935 14200 14201 13936 f 14200 14465 14466 14201 f 14465 14730 14731 14466 f 14730 14995 14996 14731 f 14995 15260 15261 14996 f 15260 15525 15526 15261 f 15525 15790 15791 15526 f 15790 16055 16056 15791 f 16055 16320 16321 16056 f 16320 16585 16586 16321 f 16585 16850 16851 16586 f 16850 17115 17116 16851 f 17115 17380 17381 17116 f 17380 17645 17646 17381 f 17645 17910 17911 17646 f 17910 18175 18176 17911 f 18175 18440 18441 18176 f 18440 18705 18706 18441 f 18705 18970 18971 18706 f 18970 19235 19236 18971 f 19235 19500 19501 19236 f 19500 19765 19766 19501 f 19765 20030 20031 19766 f 20030 20295 20296 20031 f 20295 20560 20561 20296 f 20560 20825 20826 20561 f 20825 21090 21091 20826 f 21090 21355 21356 21091 f 21355 21620 21621 21356 f 21620 21885 21886 21621 f 21885 22150 22151 21886 f 22150 22415 22416 22151 f 22415 22680 22681 22416 f 22680 22945 22946 22681 f 22945 23210 23211 22946 f 23210 23475 23476 23211 f 23475 23740 23741 23476 f 23740 24005 24006 23741 f 24005 24270 24271 24006 f 24270 24535 24536 24271 f 24535 24800 24801 24536 f 24800 25065 25066 24801 f 25065 25330 25331 25066 f 25330 25595 25596 25331 f 25595 25860 25861 25596 f 25860 26125 26126 25861 f 26125 26390 26391 26126 f 26390 26655 26656 26391 f 26655 26920 26921 26656 f 26920 27185 27186 26921 f 27185 27450 27451 27186 f 27450 27715 27716 27451 f 27715 27980 27981 27716 f 27980 28245 28246 27981 f 28245 28510 28511 28246 f 28510 28775 28776 28511 f 28775 29040 29041 28776 f 29040 29305 29306 29041 f 29305 29570 29571 29306 f 29570 29835 29836 29571 f 29835 30100 30101 29836 f 30100 30365 30366 30101 f 30365 30630 30631 30366 f 30630 30895 30896 30631 f 30895 31160 31161 30896 f 31160 31425 31426 31161 f 31425 31690 31691 31426 f 31690 31955 31956 31691 f 4594 5721 5722 4595 f 5721 5986 5987 5722 f 5986 6251 6252 5987 f 6251 6516 6517 6252 f 6516 6781 6782 6517 f 6781 7046 7047 6782 f 7046 7311 7312 7047 f 7311 7576 7577 7312 f 7576 7841 7842 7577 f 7841 8106 8107 7842 f 8106 8371 8372 8107 f 8371 8636 8637 8372 f 8636 8901 8902 8637 f 8901 9166 9167 8902 f 9166 9431 9432 9167 f 9431 9696 9697 9432 f 9696 9961 9962 9697 f 9961 10226 10227 9962 f 10226 10491 10492 10227 f 10491 10756 10757 10492 f 10756 11021 11022 10757 f 11021 11286 11287 11022 f 11286 11551 11552 11287 f 11551 11816 11817 11552 f 11816 12081 12082 11817 f 12081 12346 12347 12082 f 12346 12611 12612 12347 f 12611 12876 12877 12612 f 12876 13141 13142 12877 f 13141 13406 13407 13142 f 13406 13671 13672 13407 f 13671 13936 13937 13672 f 13936 14201 14202 13937 f 14201 14466 14467 14202 f 14466 14731 14732 14467 f 14731 14996 14997 14732 f 14996 15261 15262 14997 f 15261 15526 15527 15262 f 15526 15791 15792 15527 f 15791 16056 16057 15792 f 16056 16321 16322 16057 f 16321 16586 16587 16322 f 16586 16851 16852 16587 f 16851 17116 17117 16852 f 17116 17381 17382 17117 f 17381 17646 17647 17382 f 17646 17911 17912 17647 f 17911 18176 18177 17912 f 18176 18441 18442 18177 f 18441 18706 18707 18442 f 18706 18971 18972 18707 f 18971 19236 19237 18972 f 19236 19501 19502 19237 f 19501 19766 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8374 f 8638 8903 8904 8639 f 8903 9168 9169 8904 f 9168 9433 9434 9169 f 9433 9698 9699 9434 f 9698 9963 9964 9699 f 9963 10228 10229 9964 f 10228 10493 10494 10229 f 10493 10758 10759 10494 f 10758 11023 11024 10759 f 11023 11288 11289 11024 f 11288 11553 11554 11289 f 11553 11818 11819 11554 f 11818 12083 12084 11819 f 12083 12348 12349 12084 f 12348 12613 12614 12349 f 12613 12878 12879 12614 f 12878 13143 13144 12879 f 13143 13408 13409 13144 f 13408 13673 13674 13409 f 13673 13938 13939 13674 f 13938 14203 14204 13939 f 14203 14468 14469 14204 f 14468 14733 14734 14469 f 14733 14998 14999 14734 f 14998 15263 15264 14999 f 15263 15528 15529 15264 f 15528 15793 15794 15529 f 15793 16058 16059 15794 f 16058 16323 16324 16059 f 16323 16588 16589 16324 f 16588 16853 16854 16589 f 16853 17118 17119 16854 f 17118 17383 17384 17119 f 17383 17648 17649 17384 f 17648 17913 17914 17649 f 17913 18178 18179 17914 f 18178 18443 18444 18179 f 18443 18708 18709 18444 f 18708 18973 18974 18709 f 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f 28515 28780 28781 28516 f 28780 29045 29046 28781 f 29045 29310 29311 29046 f 29310 29575 29576 29311 f 29575 29840 29841 29576 f 29840 30105 30106 29841 f 30105 30370 30371 30106 f 30370 30635 30636 30371 f 30635 30900 30901 30636 f 30900 31165 31166 30901 f 31165 31430 31431 31166 f 31430 31695 31696 31431 f 31695 31960 31961 31696 f 4599 5726 5727 4600 f 5726 5991 5992 5727 f 5991 6256 6257 5992 f 6256 6521 6522 6257 f 6521 6786 6787 6522 f 6786 7051 7052 6787 f 7051 7316 7317 7052 f 7316 7581 7582 7317 f 7581 7846 7847 7582 f 7846 8111 8112 7847 f 8111 8376 8377 8112 f 8376 8641 8642 8377 f 8641 8906 8907 8642 f 8906 9171 9172 8907 f 9171 9436 9437 9172 f 9436 9701 9702 9437 f 9701 9966 9967 9702 f 9966 10231 10232 9967 f 10231 10496 10497 10232 f 10496 10761 10762 10497 f 10761 11026 11027 10762 f 11026 11291 11292 11027 f 11291 11556 11557 11292 f 11556 11821 11822 11557 f 11821 12086 12087 11822 f 12086 12351 12352 12087 f 12351 12616 12617 12352 f 12616 12881 12882 12617 f 12881 13146 13147 12882 f 13146 13411 13412 13147 f 13411 13676 13677 13412 f 13676 13941 13942 13677 f 13941 14206 14207 13942 f 14206 14471 14472 14207 f 14471 14736 14737 14472 f 14736 15001 15002 14737 f 15001 15266 15267 15002 f 15266 15531 15532 15267 f 15531 15796 15797 15532 f 15796 16061 16062 15797 f 16061 16326 16327 16062 f 16326 16591 16592 16327 f 16591 16856 16857 16592 f 16856 17121 17122 16857 f 17121 17386 17387 17122 f 17386 17651 17652 17387 f 17651 17916 17917 17652 f 17916 18181 18182 17917 f 18181 18446 18447 18182 f 18446 18711 18712 18447 f 18711 18976 18977 18712 f 18976 19241 19242 18977 f 19241 19506 19507 19242 f 19506 19771 19772 19507 f 19771 20036 20037 19772 f 20036 20301 20302 20037 f 20301 20566 20567 20302 f 20566 20831 20832 20567 f 20831 21096 21097 20832 f 21096 21361 21362 21097 f 21361 21626 21627 21362 f 21626 21891 21892 21627 f 21891 22156 22157 21892 f 22156 22421 22422 22157 f 22421 22686 22687 22422 f 22686 22951 22952 22687 f 22951 23216 23217 22952 f 23216 23481 23482 23217 f 23481 23746 23747 23482 f 23746 24011 24012 23747 f 24011 24276 24277 24012 f 24276 24541 24542 24277 f 24541 24806 24807 24542 f 24806 25071 25072 24807 f 25071 25336 25337 25072 f 25336 25601 25602 25337 f 25601 25866 25867 25602 f 25866 26131 26132 25867 f 26131 26396 26397 26132 f 26396 26661 26662 26397 f 26661 26926 26927 26662 f 26926 27191 27192 26927 f 27191 27456 27457 27192 f 27456 27721 27722 27457 f 27721 27986 27987 27722 f 27986 28251 28252 27987 f 28251 28516 28517 28252 f 28516 28781 28782 28517 f 28781 29046 29047 28782 f 29046 29311 29312 29047 f 29311 29576 29577 29312 f 29576 29841 29842 29577 f 29841 30106 30107 29842 f 30106 30371 30372 30107 f 30371 30636 30637 30372 f 30636 30901 30902 30637 f 30901 31166 31167 30902 f 31166 31431 31432 31167 f 31431 31696 31697 31432 f 31696 31961 31962 31697 f 4600 5727 5728 4601 f 5727 5992 5993 5728 f 5992 6257 6258 5993 f 6257 6522 6523 6258 f 6522 6787 6788 6523 f 6787 7052 7053 6788 f 7052 7317 7318 7053 f 7317 7582 7583 7318 f 7582 7847 7848 7583 f 7847 8112 8113 7848 f 8112 8377 8378 8113 f 8377 8642 8643 8378 f 8642 8907 8908 8643 f 8907 9172 9173 8908 f 9172 9437 9438 9173 f 9437 9702 9703 9438 f 9702 9967 9968 9703 f 9967 10232 10233 9968 f 10232 10497 10498 10233 f 10497 10762 10763 10498 f 10762 11027 11028 10763 f 11027 11292 11293 11028 f 11292 11557 11558 11293 f 11557 11822 11823 11558 f 11822 12087 12088 11823 f 12087 12352 12353 12088 f 12352 12617 12618 12353 f 12617 12882 12883 12618 f 12882 13147 13148 12883 f 13147 13412 13413 13148 f 13412 13677 13678 13413 f 13677 13942 13943 13678 f 13942 14207 14208 13943 f 14207 14472 14473 14208 f 14472 14737 14738 14473 f 14737 15002 15003 14738 f 15002 15267 15268 15003 f 15267 15532 15533 15268 f 15532 15797 15798 15533 f 15797 16062 16063 15798 f 16062 16327 16328 16063 f 16327 16592 16593 16328 f 16592 16857 16858 16593 f 16857 17122 17123 16858 f 17122 17387 17388 17123 f 17387 17652 17653 17388 f 17652 17917 17918 17653 f 17917 18182 18183 17918 f 18182 18447 18448 18183 f 18447 18712 18713 18448 f 18712 18977 18978 18713 f 18977 19242 19243 18978 f 19242 19507 19508 19243 f 19507 19772 19773 19508 f 19772 20037 20038 19773 f 20037 20302 20303 20038 f 20302 20567 20568 20303 f 20567 20832 20833 20568 f 20832 21097 21098 20833 f 21097 21362 21363 21098 f 21362 21627 21628 21363 f 21627 21892 21893 21628 f 21892 22157 22158 21893 f 22157 22422 22423 22158 f 22422 22687 22688 22423 f 22687 22952 22953 22688 f 22952 23217 23218 22953 f 23217 23482 23483 23218 f 23482 23747 23748 23483 f 23747 24012 24013 23748 f 24012 24277 24278 24013 f 24277 24542 24543 24278 f 24542 24807 24808 24543 f 24807 25072 25073 24808 f 25072 25337 25338 25073 f 25337 25602 25603 25338 f 25602 25867 25868 25603 f 25867 26132 26133 25868 f 26132 26397 26398 26133 f 26397 26662 26663 26398 f 26662 26927 26928 26663 f 26927 27192 27193 26928 f 27192 27457 27458 27193 f 27457 27722 27723 27458 f 27722 27987 27988 27723 f 27987 28252 28253 27988 f 28252 28517 28518 28253 f 28517 28782 28783 28518 f 28782 29047 29048 28783 f 29047 29312 29313 29048 f 29312 29577 29578 29313 f 29577 29842 29843 29578 f 29842 30107 30108 29843 f 30107 30372 30373 30108 f 30372 30637 30638 30373 f 30637 30902 30903 30638 f 30902 31167 31168 30903 f 31167 31432 31433 31168 f 31432 31697 31698 31433 f 31697 31962 31963 31698 f 4601 5728 5729 4602 f 5728 5993 5994 5729 f 5993 6258 6259 5994 f 6258 6523 6524 6259 f 6523 6788 6789 6524 f 6788 7053 7054 6789 f 7053 7318 7319 7054 f 7318 7583 7584 7319 f 7583 7848 7849 7584 f 7848 8113 8114 7849 f 8113 8378 8379 8114 f 8378 8643 8644 8379 f 8643 8908 8909 8644 f 8908 9173 9174 8909 f 9173 9438 9439 9174 f 9438 9703 9704 9439 f 9703 9968 9969 9704 f 9968 10233 10234 9969 f 10233 10498 10499 10234 f 10498 10763 10764 10499 f 10763 11028 11029 10764 f 11028 11293 11294 11029 f 11293 11558 11559 11294 f 11558 11823 11824 11559 f 11823 12088 12089 11824 f 12088 12353 12354 12089 f 12353 12618 12619 12354 f 12618 12883 12884 12619 f 12883 13148 13149 12884 f 13148 13413 13414 13149 f 13413 13678 13679 13414 f 13678 13943 13944 13679 f 13943 14208 14209 13944 f 14208 14473 14474 14209 f 14473 14738 14739 14474 f 14738 15003 15004 14739 f 15003 15268 15269 15004 f 15268 15533 15534 15269 f 15533 15798 15799 15534 f 15798 16063 16064 15799 f 16063 16328 16329 16064 f 16328 16593 16594 16329 f 16593 16858 16859 16594 f 16858 17123 17124 16859 f 17123 17388 17389 17124 f 17388 17653 17654 17389 f 17653 17918 17919 17654 f 17918 18183 18184 17919 f 18183 18448 18449 18184 f 18448 18713 18714 18449 f 18713 18978 18979 18714 f 18978 19243 19244 18979 f 19243 19508 19509 19244 f 19508 19773 19774 19509 f 19773 20038 20039 19774 f 20038 20303 20304 20039 f 20303 20568 20569 20304 f 20568 20833 20834 20569 f 20833 21098 21099 20834 f 21098 21363 21364 21099 f 21363 21628 21629 21364 f 21628 21893 21894 21629 f 21893 22158 22159 21894 f 22158 22423 22424 22159 f 22423 22688 22689 22424 f 22688 22953 22954 22689 f 22953 23218 23219 22954 f 23218 23483 23484 23219 f 23483 23748 23749 23484 f 23748 24013 24014 23749 f 24013 24278 24279 24014 f 24278 24543 24544 24279 f 24543 24808 24809 24544 f 24808 25073 25074 24809 f 25073 25338 25339 25074 f 25338 25603 25604 25339 f 25603 25868 25869 25604 f 25868 26133 26134 25869 f 26133 26398 26399 26134 f 26398 26663 26664 26399 f 26663 26928 26929 26664 f 26928 27193 27194 26929 f 27193 27458 27459 27194 f 27458 27723 27724 27459 f 27723 27988 27989 27724 f 27988 28253 28254 27989 f 28253 28518 28519 28254 f 28518 28783 28784 28519 f 28783 29048 29049 28784 f 29048 29313 29314 29049 f 29313 29578 29579 29314 f 29578 29843 29844 29579 f 29843 30108 30109 29844 f 30108 30373 30374 30109 f 30373 30638 30639 30374 f 30638 30903 30904 30639 f 30903 31168 31169 30904 f 31168 31433 31434 31169 f 31433 31698 31699 31434 f 31698 31963 31964 31699 f 4602 5729 5730 4603 f 5729 5994 5995 5730 f 5994 6259 6260 5995 f 6259 6524 6525 6260 f 6524 6789 6790 6525 f 6789 7054 7055 6790 f 7054 7319 7320 7055 f 7319 7584 7585 7320 f 7584 7849 7850 7585 f 7849 8114 8115 7850 f 8114 8379 8380 8115 f 8379 8644 8645 8380 f 8644 8909 8910 8645 f 8909 9174 9175 8910 f 9174 9439 9440 9175 f 9439 9704 9705 9440 f 9704 9969 9970 9705 f 9969 10234 10235 9970 f 10234 10499 10500 10235 f 10499 10764 10765 10500 f 10764 11029 11030 10765 f 11029 11294 11295 11030 f 11294 11559 11560 11295 f 11559 11824 11825 11560 f 11824 12089 12090 11825 f 12089 12354 12355 12090 f 12354 12619 12620 12355 f 12619 12884 12885 12620 f 12884 13149 13150 12885 f 13149 13414 13415 13150 f 13414 13679 13680 13415 f 13679 13944 13945 13680 f 13944 14209 14210 13945 f 14209 14474 14475 14210 f 14474 14739 14740 14475 f 14739 15004 15005 14740 f 15004 15269 15270 15005 f 15269 15534 15535 15270 f 15534 15799 15800 15535 f 15799 16064 16065 15800 f 16064 16329 16330 16065 f 16329 16594 16595 16330 f 16594 16859 16860 16595 f 16859 17124 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f 4604 5731 5732 4605 f 5731 5996 5997 5732 f 5996 6261 6262 5997 f 6261 6526 6527 6262 f 6526 6791 6792 6527 f 6791 7056 7057 6792 f 7056 7321 7322 7057 f 7321 7586 7587 7322 f 7586 7851 7852 7587 f 7851 8116 8117 7852 f 8116 8381 8382 8117 f 8381 8646 8647 8382 f 8646 8911 8912 8647 f 8911 9176 9177 8912 f 9176 9441 9442 9177 f 9441 9706 9707 9442 f 9706 9971 9972 9707 f 9971 10236 10237 9972 f 10236 10501 10502 10237 f 10501 10766 10767 10502 f 10766 11031 11032 10767 f 11031 11296 11297 11032 f 11296 11561 11562 11297 f 11561 11826 11827 11562 f 11826 12091 12092 11827 f 12091 12356 12357 12092 f 12356 12621 12622 12357 f 12621 12886 12887 12622 f 12886 13151 13152 12887 f 13151 13416 13417 13152 f 13416 13681 13682 13417 f 13681 13946 13947 13682 f 13946 14211 14212 13947 f 14211 14476 14477 14212 f 14476 14741 14742 14477 f 14741 15006 15007 14742 f 15006 15271 15272 15007 f 15271 15536 15537 15272 f 15536 15801 15802 15537 f 15801 16066 16067 15802 f 16066 16331 16332 16067 f 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11033 10768 f 11032 11297 11298 11033 f 11297 11562 11563 11298 f 11562 11827 11828 11563 f 11827 12092 12093 11828 f 12092 12357 12358 12093 f 12357 12622 12623 12358 f 12622 12887 12888 12623 f 12887 13152 13153 12888 f 13152 13417 13418 13153 f 13417 13682 13683 13418 f 13682 13947 13948 13683 f 13947 14212 14213 13948 f 14212 14477 14478 14213 f 14477 14742 14743 14478 f 14742 15007 15008 14743 f 15007 15272 15273 15008 f 15272 15537 15538 15273 f 15537 15802 15803 15538 f 15802 16067 16068 15803 f 16067 16332 16333 16068 f 16332 16597 16598 16333 f 16597 16862 16863 16598 f 16862 17127 17128 16863 f 17127 17392 17393 17128 f 17392 17657 17658 17393 f 17657 17922 17923 17658 f 17922 18187 18188 17923 f 18187 18452 18453 18188 f 18452 18717 18718 18453 f 18717 18982 18983 18718 f 18982 19247 19248 18983 f 19247 19512 19513 19248 f 19512 19777 19778 19513 f 19777 20042 20043 19778 f 20042 20307 20308 20043 f 20307 20572 20573 20308 f 20572 20837 20838 20573 f 20837 21102 21103 20838 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31437 31438 31173 f 31437 31702 31703 31438 f 31702 31967 31968 31703 f 4606 5733 5734 4607 f 5733 5998 5999 5734 f 5998 6263 6264 5999 f 6263 6528 6529 6264 f 6528 6793 6794 6529 f 6793 7058 7059 6794 f 7058 7323 7324 7059 f 7323 7588 7589 7324 f 7588 7853 7854 7589 f 7853 8118 8119 7854 f 8118 8383 8384 8119 f 8383 8648 8649 8384 f 8648 8913 8914 8649 f 8913 9178 9179 8914 f 9178 9443 9444 9179 f 9443 9708 9709 9444 f 9708 9973 9974 9709 f 9973 10238 10239 9974 f 10238 10503 10504 10239 f 10503 10768 10769 10504 f 10768 11033 11034 10769 f 11033 11298 11299 11034 f 11298 11563 11564 11299 f 11563 11828 11829 11564 f 11828 12093 12094 11829 f 12093 12358 12359 12094 f 12358 12623 12624 12359 f 12623 12888 12889 12624 f 12888 13153 13154 12889 f 13153 13418 13419 13154 f 13418 13683 13684 13419 f 13683 13948 13949 13684 f 13948 14213 14214 13949 f 14213 14478 14479 14214 f 14478 14743 14744 14479 f 14743 15008 15009 14744 f 15008 15273 15274 15009 f 15273 15538 15539 15274 f 15538 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9975 f 10239 10504 10505 10240 f 10504 10769 10770 10505 f 10769 11034 11035 10770 f 11034 11299 11300 11035 f 11299 11564 11565 11300 f 11564 11829 11830 11565 f 11829 12094 12095 11830 f 12094 12359 12360 12095 f 12359 12624 12625 12360 f 12624 12889 12890 12625 f 12889 13154 13155 12890 f 13154 13419 13420 13155 f 13419 13684 13685 13420 f 13684 13949 13950 13685 f 13949 14214 14215 13950 f 14214 14479 14480 14215 f 14479 14744 14745 14480 f 14744 15009 15010 14745 f 15009 15274 15275 15010 f 15274 15539 15540 15275 f 15539 15804 15805 15540 f 15804 16069 16070 15805 f 16069 16334 16335 16070 f 16334 16599 16600 16335 f 16599 16864 16865 16600 f 16864 17129 17130 16865 f 17129 17394 17395 17130 f 17394 17659 17660 17395 f 17659 17924 17925 17660 f 17924 18189 18190 17925 f 18189 18454 18455 18190 f 18454 18719 18720 18455 f 18719 18984 18985 18720 f 18984 19249 19250 18985 f 19249 19514 19515 19250 f 19514 19779 19780 19515 f 19779 20044 20045 19780 f 20044 20309 20310 20045 f 20309 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30380 f 30644 30909 30910 30645 f 30909 31174 31175 30910 f 31174 31439 31440 31175 f 31439 31704 31705 31440 f 31704 31969 31970 31705 f 4608 5735 5736 4609 f 5735 6000 6001 5736 f 6000 6265 6266 6001 f 6265 6530 6531 6266 f 6530 6795 6796 6531 f 6795 7060 7061 6796 f 7060 7325 7326 7061 f 7325 7590 7591 7326 f 7590 7855 7856 7591 f 7855 8120 8121 7856 f 8120 8385 8386 8121 f 8385 8650 8651 8386 f 8650 8915 8916 8651 f 8915 9180 9181 8916 f 9180 9445 9446 9181 f 9445 9710 9711 9446 f 9710 9975 9976 9711 f 9975 10240 10241 9976 f 10240 10505 10506 10241 f 10505 10770 10771 10506 f 10770 11035 11036 10771 f 11035 11300 11301 11036 f 11300 11565 11566 11301 f 11565 11830 11831 11566 f 11830 12095 12096 11831 f 12095 12360 12361 12096 f 12360 12625 12626 12361 f 12625 12890 12891 12626 f 12890 13155 13156 12891 f 13155 13420 13421 13156 f 13420 13685 13686 13421 f 13685 13950 13951 13686 f 13950 14215 14216 13951 f 14215 14480 14481 14216 f 14480 14745 14746 14481 f 14745 15010 15011 14746 f 15010 15275 15276 15011 f 15275 15540 15541 15276 f 15540 15805 15806 15541 f 15805 16070 16071 15806 f 16070 16335 16336 16071 f 16335 16600 16601 16336 f 16600 16865 16866 16601 f 16865 17130 17131 16866 f 17130 17395 17396 17131 f 17395 17660 17661 17396 f 17660 17925 17926 17661 f 17925 18190 18191 17926 f 18190 18455 18456 18191 f 18455 18720 18721 18456 f 18720 18985 18986 18721 f 18985 19250 19251 18986 f 19250 19515 19516 19251 f 19515 19780 19781 19516 f 19780 20045 20046 19781 f 20045 20310 20311 20046 f 20310 20575 20576 20311 f 20575 20840 20841 20576 f 20840 21105 21106 20841 f 21105 21370 21371 21106 f 21370 21635 21636 21371 f 21635 21900 21901 21636 f 21900 22165 22166 21901 f 22165 22430 22431 22166 f 22430 22695 22696 22431 f 22695 22960 22961 22696 f 22960 23225 23226 22961 f 23225 23490 23491 23226 f 23490 23755 23756 23491 f 23755 24020 24021 23756 f 24020 24285 24286 24021 f 24285 24550 24551 24286 f 24550 24815 24816 24551 f 24815 25080 25081 24816 f 25080 25345 25346 25081 f 25345 25610 25611 25346 f 25610 25875 25876 25611 f 25875 26140 26141 25876 f 26140 26405 26406 26141 f 26405 26670 26671 26406 f 26670 26935 26936 26671 f 26935 27200 27201 26936 f 27200 27465 27466 27201 f 27465 27730 27731 27466 f 27730 27995 27996 27731 f 27995 28260 28261 27996 f 28260 28525 28526 28261 f 28525 28790 28791 28526 f 28790 29055 29056 28791 f 29055 29320 29321 29056 f 29320 29585 29586 29321 f 29585 29850 29851 29586 f 29850 30115 30116 29851 f 30115 30380 30381 30116 f 30380 30645 30646 30381 f 30645 30910 30911 30646 f 30910 31175 31176 30911 f 31175 31440 31441 31176 f 31440 31705 31706 31441 f 31705 31970 31971 31706 f 4609 5736 5737 4610 f 5736 6001 6002 5737 f 6001 6266 6267 6002 f 6266 6531 6532 6267 f 6531 6796 6797 6532 f 6796 7061 7062 6797 f 7061 7326 7327 7062 f 7326 7591 7592 7327 f 7591 7856 7857 7592 f 7856 8121 8122 7857 f 8121 8386 8387 8122 f 8386 8651 8652 8387 f 8651 8916 8917 8652 f 8916 9181 9182 8917 f 9181 9446 9447 9182 f 9446 9711 9712 9447 f 9711 9976 9977 9712 f 9976 10241 10242 9977 f 10241 10506 10507 10242 f 10506 10771 10772 10507 f 10771 11036 11037 10772 f 11036 11301 11302 11037 f 11301 11566 11567 11302 f 11566 11831 11832 11567 f 11831 12096 12097 11832 f 12096 12361 12362 12097 f 12361 12626 12627 12362 f 12626 12891 12892 12627 f 12891 13156 13157 12892 f 13156 13421 13422 13157 f 13421 13686 13687 13422 f 13686 13951 13952 13687 f 13951 14216 14217 13952 f 14216 14481 14482 14217 f 14481 14746 14747 14482 f 14746 15011 15012 14747 f 15011 15276 15277 15012 f 15276 15541 15542 15277 f 15541 15806 15807 15542 f 15806 16071 16072 15807 f 16071 16336 16337 16072 f 16336 16601 16602 16337 f 16601 16866 16867 16602 f 16866 17131 17132 16867 f 17131 17396 17397 17132 f 17396 17661 17662 17397 f 17661 17926 17927 17662 f 17926 18191 18192 17927 f 18191 18456 18457 18192 f 18456 18721 18722 18457 f 18721 18986 18987 18722 f 18986 19251 19252 18987 f 19251 19516 19517 19252 f 19516 19781 19782 19517 f 19781 20046 20047 19782 f 20046 20311 20312 20047 f 20311 20576 20577 20312 f 20576 20841 20842 20577 f 20841 21106 21107 20842 f 21106 21371 21372 21107 f 21371 21636 21637 21372 f 21636 21901 21902 21637 f 21901 22166 22167 21902 f 22166 22431 22432 22167 f 22431 22696 22697 22432 f 22696 22961 22962 22697 f 22961 23226 23227 22962 f 23226 23491 23492 23227 f 23491 23756 23757 23492 f 23756 24021 24022 23757 f 24021 24286 24287 24022 f 24286 24551 24552 24287 f 24551 24816 24817 24552 f 24816 25081 25082 24817 f 25081 25346 25347 25082 f 25346 25611 25612 25347 f 25611 25876 25877 25612 f 25876 26141 26142 25877 f 26141 26406 26407 26142 f 26406 26671 26672 26407 f 26671 26936 26937 26672 f 26936 27201 27202 26937 f 27201 27466 27467 27202 f 27466 27731 27732 27467 f 27731 27996 27997 27732 f 27996 28261 28262 27997 f 28261 28526 28527 28262 f 28526 28791 28792 28527 f 28791 29056 29057 28792 f 29056 29321 29322 29057 f 29321 29586 29587 29322 f 29586 29851 29852 29587 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14217 14482 14483 14218 f 14482 14747 14748 14483 f 14747 15012 15013 14748 f 15012 15277 15278 15013 f 15277 15542 15543 15278 f 15542 15807 15808 15543 f 15807 16072 16073 15808 f 16072 16337 16338 16073 f 16337 16602 16603 16338 f 16602 16867 16868 16603 f 16867 17132 17133 16868 f 17132 17397 17398 17133 f 17397 17662 17663 17398 f 17662 17927 17928 17663 f 17927 18192 18193 17928 f 18192 18457 18458 18193 f 18457 18722 18723 18458 f 18722 18987 18988 18723 f 18987 19252 19253 18988 f 19252 19517 19518 19253 f 19517 19782 19783 19518 f 19782 20047 20048 19783 f 20047 20312 20313 20048 f 20312 20577 20578 20313 f 20577 20842 20843 20578 f 20842 21107 21108 20843 f 21107 21372 21373 21108 f 21372 21637 21638 21373 f 21637 21902 21903 21638 f 21902 22167 22168 21903 f 22167 22432 22433 22168 f 22432 22697 22698 22433 f 22697 22962 22963 22698 f 22962 23227 23228 22963 f 23227 23492 23493 23228 f 23492 23757 23758 23493 f 23757 24022 24023 23758 f 24022 24287 24288 24023 f 24287 24552 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8389 f 8653 8918 8919 8654 f 8918 9183 9184 8919 f 9183 9448 9449 9184 f 9448 9713 9714 9449 f 9713 9978 9979 9714 f 9978 10243 10244 9979 f 10243 10508 10509 10244 f 10508 10773 10774 10509 f 10773 11038 11039 10774 f 11038 11303 11304 11039 f 11303 11568 11569 11304 f 11568 11833 11834 11569 f 11833 12098 12099 11834 f 12098 12363 12364 12099 f 12363 12628 12629 12364 f 12628 12893 12894 12629 f 12893 13158 13159 12894 f 13158 13423 13424 13159 f 13423 13688 13689 13424 f 13688 13953 13954 13689 f 13953 14218 14219 13954 f 14218 14483 14484 14219 f 14483 14748 14749 14484 f 14748 15013 15014 14749 f 15013 15278 15279 15014 f 15278 15543 15544 15279 f 15543 15808 15809 15544 f 15808 16073 16074 15809 f 16073 16338 16339 16074 f 16338 16603 16604 16339 f 16603 16868 16869 16604 f 16868 17133 17134 16869 f 17133 17398 17399 17134 f 17398 17663 17664 17399 f 17663 17928 17929 17664 f 17928 18193 18194 17929 f 18193 18458 18459 18194 f 18458 18723 18724 18459 f 18723 18988 18989 18724 f 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6803 f 7067 7332 7333 7068 f 7332 7597 7598 7333 f 7597 7862 7863 7598 f 7862 8127 8128 7863 f 8127 8392 8393 8128 f 8392 8657 8658 8393 f 8657 8922 8923 8658 f 8922 9187 9188 8923 f 9187 9452 9453 9188 f 9452 9717 9718 9453 f 9717 9982 9983 9718 f 9982 10247 10248 9983 f 10247 10512 10513 10248 f 10512 10777 10778 10513 f 10777 11042 11043 10778 f 11042 11307 11308 11043 f 11307 11572 11573 11308 f 11572 11837 11838 11573 f 11837 12102 12103 11838 f 12102 12367 12368 12103 f 12367 12632 12633 12368 f 12632 12897 12898 12633 f 12897 13162 13163 12898 f 13162 13427 13428 13163 f 13427 13692 13693 13428 f 13692 13957 13958 13693 f 13957 14222 14223 13958 f 14222 14487 14488 14223 f 14487 14752 14753 14488 f 14752 15017 15018 14753 f 15017 15282 15283 15018 f 15282 15547 15548 15283 f 15547 15812 15813 15548 f 15812 16077 16078 15813 f 16077 16342 16343 16078 f 16342 16607 16608 16343 f 16607 16872 16873 16608 f 16872 17137 17138 16873 f 17137 17402 17403 17138 f 17402 17667 17668 17403 f 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28003 27738 f 28002 28267 28268 28003 f 28267 28532 28533 28268 f 28532 28797 28798 28533 f 28797 29062 29063 28798 f 29062 29327 29328 29063 f 29327 29592 29593 29328 f 29592 29857 29858 29593 f 29857 30122 30123 29858 f 30122 30387 30388 30123 f 30387 30652 30653 30388 f 30652 30917 30918 30653 f 30917 31182 31183 30918 f 31182 31447 31448 31183 f 31447 31712 31713 31448 f 31712 31977 31978 31713 f 4616 5743 5744 4617 f 5743 6008 6009 5744 f 6008 6273 6274 6009 f 6273 6538 6539 6274 f 6538 6803 6804 6539 f 6803 7068 7069 6804 f 7068 7333 7334 7069 f 7333 7598 7599 7334 f 7598 7863 7864 7599 f 7863 8128 8129 7864 f 8128 8393 8394 8129 f 8393 8658 8659 8394 f 8658 8923 8924 8659 f 8923 9188 9189 8924 f 9188 9453 9454 9189 f 9453 9718 9719 9454 f 9718 9983 9984 9719 f 9983 10248 10249 9984 f 10248 10513 10514 10249 f 10513 10778 10779 10514 f 10778 11043 11044 10779 f 11043 11308 11309 11044 f 11308 11573 11574 11309 f 11573 11838 11839 11574 f 11838 12103 12104 11839 f 12103 12368 12369 12104 f 12368 12633 12634 12369 f 12633 12898 12899 12634 f 12898 13163 13164 12899 f 13163 13428 13429 13164 f 13428 13693 13694 13429 f 13693 13958 13959 13694 f 13958 14223 14224 13959 f 14223 14488 14489 14224 f 14488 14753 14754 14489 f 14753 15018 15019 14754 f 15018 15283 15284 15019 f 15283 15548 15549 15284 f 15548 15813 15814 15549 f 15813 16078 16079 15814 f 16078 16343 16344 16079 f 16343 16608 16609 16344 f 16608 16873 16874 16609 f 16873 17138 17139 16874 f 17138 17403 17404 17139 f 17403 17668 17669 17404 f 17668 17933 17934 17669 f 17933 18198 18199 17934 f 18198 18463 18464 18199 f 18463 18728 18729 18464 f 18728 18993 18994 18729 f 18993 19258 19259 18994 f 19258 19523 19524 19259 f 19523 19788 19789 19524 f 19788 20053 20054 19789 f 20053 20318 20319 20054 f 20318 20583 20584 20319 f 20583 20848 20849 20584 f 20848 21113 21114 20849 f 21113 21378 21379 21114 f 21378 21643 21644 21379 f 21643 21908 21909 21644 f 21908 22173 22174 21909 f 22173 22438 22439 22174 f 22438 22703 22704 22439 f 22703 22968 22969 22704 f 22968 23233 23234 22969 f 23233 23498 23499 23234 f 23498 23763 23764 23499 f 23763 24028 24029 23764 f 24028 24293 24294 24029 f 24293 24558 24559 24294 f 24558 24823 24824 24559 f 24823 25088 25089 24824 f 25088 25353 25354 25089 f 25353 25618 25619 25354 f 25618 25883 25884 25619 f 25883 26148 26149 25884 f 26148 26413 26414 26149 f 26413 26678 26679 26414 f 26678 26943 26944 26679 f 26943 27208 27209 26944 f 27208 27473 27474 27209 f 27473 27738 27739 27474 f 27738 28003 28004 27739 f 28003 28268 28269 28004 f 28268 28533 28534 28269 f 28533 28798 28799 28534 f 28798 29063 29064 28799 f 29063 29328 29329 29064 f 29328 29593 29594 29329 f 29593 29858 29859 29594 f 29858 30123 30124 29859 f 30123 30388 30389 30124 f 30388 30653 30654 30389 f 30653 30918 30919 30654 f 30918 31183 31184 30919 f 31183 31448 31449 31184 f 31448 31713 31714 31449 f 31713 31978 31979 31714 f 4617 5744 5745 4618 f 5744 6009 6010 5745 f 6009 6274 6275 6010 f 6274 6539 6540 6275 f 6539 6804 6805 6540 f 6804 7069 7070 6805 f 7069 7334 7335 7070 f 7334 7599 7600 7335 f 7599 7864 7865 7600 f 7864 8129 8130 7865 f 8129 8394 8395 8130 f 8394 8659 8660 8395 f 8659 8924 8925 8660 f 8924 9189 9190 8925 f 9189 9454 9455 9190 f 9454 9719 9720 9455 f 9719 9984 9985 9720 f 9984 10249 10250 9985 f 10249 10514 10515 10250 f 10514 10779 10780 10515 f 10779 11044 11045 10780 f 11044 11309 11310 11045 f 11309 11574 11575 11310 f 11574 11839 11840 11575 f 11839 12104 12105 11840 f 12104 12369 12370 12105 f 12369 12634 12635 12370 f 12634 12899 12900 12635 f 12899 13164 13165 12900 f 13164 13429 13430 13165 f 13429 13694 13695 13430 f 13694 13959 13960 13695 f 13959 14224 14225 13960 f 14224 14489 14490 14225 f 14489 14754 14755 14490 f 14754 15019 15020 14755 f 15019 15284 15285 15020 f 15284 15549 15550 15285 f 15549 15814 15815 15550 f 15814 16079 16080 15815 f 16079 16344 16345 16080 f 16344 16609 16610 16345 f 16609 16874 16875 16610 f 16874 17139 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11575 11840 11841 11576 f 11840 12105 12106 11841 f 12105 12370 12371 12106 f 12370 12635 12636 12371 f 12635 12900 12901 12636 f 12900 13165 13166 12901 f 13165 13430 13431 13166 f 13430 13695 13696 13431 f 13695 13960 13961 13696 f 13960 14225 14226 13961 f 14225 14490 14491 14226 f 14490 14755 14756 14491 f 14755 15020 15021 14756 f 15020 15285 15286 15021 f 15285 15550 15551 15286 f 15550 15815 15816 15551 f 15815 16080 16081 15816 f 16080 16345 16346 16081 f 16345 16610 16611 16346 f 16610 16875 16876 16611 f 16875 17140 17141 16876 f 17140 17405 17406 17141 f 17405 17670 17671 17406 f 17670 17935 17936 17671 f 17935 18200 18201 17936 f 18200 18465 18466 18201 f 18465 18730 18731 18466 f 18730 18995 18996 18731 f 18995 19260 19261 18996 f 19260 19525 19526 19261 f 19525 19790 19791 19526 f 19790 20055 20056 19791 f 20055 20320 20321 20056 f 20320 20585 20586 20321 f 20585 20850 20851 20586 f 20850 21115 21116 20851 f 21115 21380 21381 21116 f 21380 21645 21646 21381 f 21645 21910 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25624 f 25888 26153 26154 25889 f 26153 26418 26419 26154 f 26418 26683 26684 26419 f 26683 26948 26949 26684 f 26948 27213 27214 26949 f 27213 27478 27479 27214 f 27478 27743 27744 27479 f 27743 28008 28009 27744 f 28008 28273 28274 28009 f 28273 28538 28539 28274 f 28538 28803 28804 28539 f 28803 29068 29069 28804 f 29068 29333 29334 29069 f 29333 29598 29599 29334 f 29598 29863 29864 29599 f 29863 30128 30129 29864 f 30128 30393 30394 30129 f 30393 30658 30659 30394 f 30658 30923 30924 30659 f 30923 31188 31189 30924 f 31188 31453 31454 31189 f 31453 31718 31719 31454 f 31718 31983 31984 31719 f 4622 5749 5750 4623 f 5749 6014 6015 5750 f 6014 6279 6280 6015 f 6279 6544 6545 6280 f 6544 6809 6810 6545 f 6809 7074 7075 6810 f 7074 7339 7340 7075 f 7339 7604 7605 7340 f 7604 7869 7870 7605 f 7869 8134 8135 7870 f 8134 8399 8400 8135 f 8399 8664 8665 8400 f 8664 8929 8930 8665 f 8929 9194 9195 8930 f 9194 9459 9460 9195 f 9459 9724 9725 9460 f 9724 9989 9990 9725 f 9989 10254 10255 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30395 f 30659 30924 30925 30660 f 30924 31189 31190 30925 f 31189 31454 31455 31190 f 31454 31719 31720 31455 f 31719 31984 31985 31720 f 4623 5750 5751 4624 f 5750 6015 6016 5751 f 6015 6280 6281 6016 f 6280 6545 6546 6281 f 6545 6810 6811 6546 f 6810 7075 7076 6811 f 7075 7340 7341 7076 f 7340 7605 7606 7341 f 7605 7870 7871 7606 f 7870 8135 8136 7871 f 8135 8400 8401 8136 f 8400 8665 8666 8401 f 8665 8930 8931 8666 f 8930 9195 9196 8931 f 9195 9460 9461 9196 f 9460 9725 9726 9461 f 9725 9990 9991 9726 f 9990 10255 10256 9991 f 10255 10520 10521 10256 f 10520 10785 10786 10521 f 10785 11050 11051 10786 f 11050 11315 11316 11051 f 11315 11580 11581 11316 f 11580 11845 11846 11581 f 11845 12110 12111 11846 f 12110 12375 12376 12111 f 12375 12640 12641 12376 f 12640 12905 12906 12641 f 12905 13170 13171 12906 f 13170 13435 13436 13171 f 13435 13700 13701 13436 f 13700 13965 13966 13701 f 13965 14230 14231 13966 f 14230 14495 14496 14231 f 14495 14760 14761 14496 f 14760 15025 15026 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25095 25360 25361 25096 f 25360 25625 25626 25361 f 25625 25890 25891 25626 f 25890 26155 26156 25891 f 26155 26420 26421 26156 f 26420 26685 26686 26421 f 26685 26950 26951 26686 f 26950 27215 27216 26951 f 27215 27480 27481 27216 f 27480 27745 27746 27481 f 27745 28010 28011 27746 f 28010 28275 28276 28011 f 28275 28540 28541 28276 f 28540 28805 28806 28541 f 28805 29070 29071 28806 f 29070 29335 29336 29071 f 29335 29600 29601 29336 f 29600 29865 29866 29601 f 29865 30130 30131 29866 f 30130 30395 30396 30131 f 30395 30660 30661 30396 f 30660 30925 30926 30661 f 30925 31190 31191 30926 f 31190 31455 31456 31191 f 31455 31720 31721 31456 f 31720 31985 31986 31721 f 4624 5751 5752 4625 f 5751 6016 6017 5752 f 6016 6281 6282 6017 f 6281 6546 6547 6282 f 6546 6811 6812 6547 f 6811 7076 7077 6812 f 7076 7341 7342 7077 f 7341 7606 7607 7342 f 7606 7871 7872 7607 f 7871 8136 8137 7872 f 8136 8401 8402 8137 f 8401 8666 8667 8402 f 8666 8931 8932 8667 f 8931 9196 9197 8932 f 9196 9461 9462 9197 f 9461 9726 9727 9462 f 9726 9991 9992 9727 f 9991 10256 10257 9992 f 10256 10521 10522 10257 f 10521 10786 10787 10522 f 10786 11051 11052 10787 f 11051 11316 11317 11052 f 11316 11581 11582 11317 f 11581 11846 11847 11582 f 11846 12111 12112 11847 f 12111 12376 12377 12112 f 12376 12641 12642 12377 f 12641 12906 12907 12642 f 12906 13171 13172 12907 f 13171 13436 13437 13172 f 13436 13701 13702 13437 f 13701 13966 13967 13702 f 13966 14231 14232 13967 f 14231 14496 14497 14232 f 14496 14761 14762 14497 f 14761 15026 15027 14762 f 15026 15291 15292 15027 f 15291 15556 15557 15292 f 15556 15821 15822 15557 f 15821 16086 16087 15822 f 16086 16351 16352 16087 f 16351 16616 16617 16352 f 16616 16881 16882 16617 f 16881 17146 17147 16882 f 17146 17411 17412 17147 f 17411 17676 17677 17412 f 17676 17941 17942 17677 f 17941 18206 18207 17942 f 18206 18471 18472 18207 f 18471 18736 18737 18472 f 18736 19001 19002 18737 f 19001 19266 19267 19002 f 19266 19531 19532 19267 f 19531 19796 19797 19532 f 19796 20061 20062 19797 f 20061 20326 20327 20062 f 20326 20591 20592 20327 f 20591 20856 20857 20592 f 20856 21121 21122 20857 f 21121 21386 21387 21122 f 21386 21651 21652 21387 f 21651 21916 21917 21652 f 21916 22181 22182 21917 f 22181 22446 22447 22182 f 22446 22711 22712 22447 f 22711 22976 22977 22712 f 22976 23241 23242 22977 f 23241 23506 23507 23242 f 23506 23771 23772 23507 f 23771 24036 24037 23772 f 24036 24301 24302 24037 f 24301 24566 24567 24302 f 24566 24831 24832 24567 f 24831 25096 25097 24832 f 25096 25361 25362 25097 f 25361 25626 25627 25362 f 25626 25891 25892 25627 f 25891 26156 26157 25892 f 26156 26421 26422 26157 f 26421 26686 26687 26422 f 26686 26951 26952 26687 f 26951 27216 27217 26952 f 27216 27481 27482 27217 f 27481 27746 27747 27482 f 27746 28011 28012 27747 f 28011 28276 28277 28012 f 28276 28541 28542 28277 f 28541 28806 28807 28542 f 28806 29071 29072 28807 f 29071 29336 29337 29072 f 29336 29601 29602 29337 f 29601 29866 29867 29602 f 29866 30131 30132 29867 f 30131 30396 30397 30132 f 30396 30661 30662 30397 f 30661 30926 30927 30662 f 30926 31191 31192 30927 f 31191 31456 31457 31192 f 31456 31721 31722 31457 f 31721 31986 31987 31722 f 4625 5752 5753 4626 f 5752 6017 6018 5753 f 6017 6282 6283 6018 f 6282 6547 6548 6283 f 6547 6812 6813 6548 f 6812 7077 7078 6813 f 7077 7342 7343 7078 f 7342 7607 7608 7343 f 7607 7872 7873 7608 f 7872 8137 8138 7873 f 8137 8402 8403 8138 f 8402 8667 8668 8403 f 8667 8932 8933 8668 f 8932 9197 9198 8933 f 9197 9462 9463 9198 f 9462 9727 9728 9463 f 9727 9992 9993 9728 f 9992 10257 10258 9993 f 10257 10522 10523 10258 f 10522 10787 10788 10523 f 10787 11052 11053 10788 f 11052 11317 11318 11053 f 11317 11582 11583 11318 f 11582 11847 11848 11583 f 11847 12112 12113 11848 f 12112 12377 12378 12113 f 12377 12642 12643 12378 f 12642 12907 12908 12643 f 12907 13172 13173 12908 f 13172 13437 13438 13173 f 13437 13702 13703 13438 f 13702 13967 13968 13703 f 13967 14232 14233 13968 f 14232 14497 14498 14233 f 14497 14762 14763 14498 f 14762 15027 15028 14763 f 15027 15292 15293 15028 f 15292 15557 15558 15293 f 15557 15822 15823 15558 f 15822 16087 16088 15823 f 16087 16352 16353 16088 f 16352 16617 16618 16353 f 16617 16882 16883 16618 f 16882 17147 17148 16883 f 17147 17412 17413 17148 f 17412 17677 17678 17413 f 17677 17942 17943 17678 f 17942 18207 18208 17943 f 18207 18472 18473 18208 f 18472 18737 18738 18473 f 18737 19002 19003 18738 f 19002 19267 19268 19003 f 19267 19532 19533 19268 f 19532 19797 19798 19533 f 19797 20062 20063 19798 f 20062 20327 20328 20063 f 20327 20592 20593 20328 f 20592 20857 20858 20593 f 20857 21122 21123 20858 f 21122 21387 21388 21123 f 21387 21652 21653 21388 f 21652 21917 21918 21653 f 21917 22182 22183 21918 f 22182 22447 22448 22183 f 22447 22712 22713 22448 f 22712 22977 22978 22713 f 22977 23242 23243 22978 f 23242 23507 23508 23243 f 23507 23772 23773 23508 f 23772 24037 24038 23773 f 24037 24302 24303 24038 f 24302 24567 24568 24303 f 24567 24832 24833 24568 f 24832 25097 25098 24833 f 25097 25362 25363 25098 f 25362 25627 25628 25363 f 25627 25892 25893 25628 f 25892 26157 26158 25893 f 26157 26422 26423 26158 f 26422 26687 26688 26423 f 26687 26952 26953 26688 f 26952 27217 27218 26953 f 27217 27482 27483 27218 f 27482 27747 27748 27483 f 27747 28012 28013 27748 f 28012 28277 28278 28013 f 28277 28542 28543 28278 f 28542 28807 28808 28543 f 28807 29072 29073 28808 f 29072 29337 29338 29073 f 29337 29602 29603 29338 f 29602 29867 29868 29603 f 29867 30132 30133 29868 f 30132 30397 30398 30133 f 30397 30662 30663 30398 f 30662 30927 30928 30663 f 30927 31192 31193 30928 f 31192 31457 31458 31193 f 31457 31722 31723 31458 f 31722 31987 31988 31723 f 4626 5753 5754 4627 f 5753 6018 6019 5754 f 6018 6283 6284 6019 f 6283 6548 6549 6284 f 6548 6813 6814 6549 f 6813 7078 7079 6814 f 7078 7343 7344 7079 f 7343 7608 7609 7344 f 7608 7873 7874 7609 f 7873 8138 8139 7874 f 8138 8403 8404 8139 f 8403 8668 8669 8404 f 8668 8933 8934 8669 f 8933 9198 9199 8934 f 9198 9463 9464 9199 f 9463 9728 9729 9464 f 9728 9993 9994 9729 f 9993 10258 10259 9994 f 10258 10523 10524 10259 f 10523 10788 10789 10524 f 10788 11053 11054 10789 f 11053 11318 11319 11054 f 11318 11583 11584 11319 f 11583 11848 11849 11584 f 11848 12113 12114 11849 f 12113 12378 12379 12114 f 12378 12643 12644 12379 f 12643 12908 12909 12644 f 12908 13173 13174 12909 f 13173 13438 13439 13174 f 13438 13703 13704 13439 f 13703 13968 13969 13704 f 13968 14233 14234 13969 f 14233 14498 14499 14234 f 14498 14763 14764 14499 f 14763 15028 15029 14764 f 15028 15293 15294 15029 f 15293 15558 15559 15294 f 15558 15823 15824 15559 f 15823 16088 16089 15824 f 16088 16353 16354 16089 f 16353 16618 16619 16354 f 16618 16883 16884 16619 f 16883 17148 17149 16884 f 17148 17413 17414 17149 f 17413 17678 17679 17414 f 17678 17943 17944 17679 f 17943 18208 18209 17944 f 18208 18473 18474 18209 f 18473 18738 18739 18474 f 18738 19003 19004 18739 f 19003 19268 19269 19004 f 19268 19533 19534 19269 f 19533 19798 19799 19534 f 19798 20063 20064 19799 f 20063 20328 20329 20064 f 20328 20593 20594 20329 f 20593 20858 20859 20594 f 20858 21123 21124 20859 f 21123 21388 21389 21124 f 21388 21653 21654 21389 f 21653 21918 21919 21654 f 21918 22183 22184 21919 f 22183 22448 22449 22184 f 22448 22713 22714 22449 f 22713 22978 22979 22714 f 22978 23243 23244 22979 f 23243 23508 23509 23244 f 23508 23773 23774 23509 f 23773 24038 24039 23774 f 24038 24303 24304 24039 f 24303 24568 24569 24304 f 24568 24833 24834 24569 f 24833 25098 25099 24834 f 25098 25363 25364 25099 f 25363 25628 25629 25364 f 25628 25893 25894 25629 f 25893 26158 26159 25894 f 26158 26423 26424 26159 f 26423 26688 26689 26424 f 26688 26953 26954 26689 f 26953 27218 27219 26954 f 27218 27483 27484 27219 f 27483 27748 27749 27484 f 27748 28013 28014 27749 f 28013 28278 28279 28014 f 28278 28543 28544 28279 f 28543 28808 28809 28544 f 28808 29073 29074 28809 f 29073 29338 29339 29074 f 29338 29603 29604 29339 f 29603 29868 29869 29604 f 29868 30133 30134 29869 f 30133 30398 30399 30134 f 30398 30663 30664 30399 f 30663 30928 30929 30664 f 30928 31193 31194 30929 f 31193 31458 31459 31194 f 31458 31723 31724 31459 f 31723 31988 31989 31724 f 4627 5754 5755 4628 f 5754 6019 6020 5755 f 6019 6284 6285 6020 f 6284 6549 6550 6285 f 6549 6814 6815 6550 f 6814 7079 7080 6815 f 7079 7344 7345 7080 f 7344 7609 7610 7345 f 7609 7874 7875 7610 f 7874 8139 8140 7875 f 8139 8404 8405 8140 f 8404 8669 8670 8405 f 8669 8934 8935 8670 f 8934 9199 9200 8935 f 9199 9464 9465 9200 f 9464 9729 9730 9465 f 9729 9994 9995 9730 f 9994 10259 10260 9995 f 10259 10524 10525 10260 f 10524 10789 10790 10525 f 10789 11054 11055 10790 f 11054 11319 11320 11055 f 11319 11584 11585 11320 f 11584 11849 11850 11585 f 11849 12114 12115 11850 f 12114 12379 12380 12115 f 12379 12644 12645 12380 f 12644 12909 12910 12645 f 12909 13174 13175 12910 f 13174 13439 13440 13175 f 13439 13704 13705 13440 f 13704 13969 13970 13705 f 13969 14234 14235 13970 f 14234 14499 14500 14235 f 14499 14764 14765 14500 f 14764 15029 15030 14765 f 15029 15294 15295 15030 f 15294 15559 15560 15295 f 15559 15824 15825 15560 f 15824 16089 16090 15825 f 16089 16354 16355 16090 f 16354 16619 16620 16355 f 16619 16884 16885 16620 f 16884 17149 17150 16885 f 17149 17414 17415 17150 f 17414 17679 17680 17415 f 17679 17944 17945 17680 f 17944 18209 18210 17945 f 18209 18474 18475 18210 f 18474 18739 18740 18475 f 18739 19004 19005 18740 f 19004 19269 19270 19005 f 19269 19534 19535 19270 f 19534 19799 19800 19535 f 19799 20064 20065 19800 f 20064 20329 20330 20065 f 20329 20594 20595 20330 f 20594 20859 20860 20595 f 20859 21124 21125 20860 f 21124 21389 21390 21125 f 21389 21654 21655 21390 f 21654 21919 21920 21655 f 21919 22184 22185 21920 f 22184 22449 22450 22185 f 22449 22714 22715 22450 f 22714 22979 22980 22715 f 22979 23244 23245 22980 f 23244 23509 23510 23245 f 23509 23774 23775 23510 f 23774 24039 24040 23775 f 24039 24304 24305 24040 f 24304 24569 24570 24305 f 24569 24834 24835 24570 f 24834 25099 25100 24835 f 25099 25364 25365 25100 f 25364 25629 25630 25365 f 25629 25894 25895 25630 f 25894 26159 26160 25895 f 26159 26424 26425 26160 f 26424 26689 26690 26425 f 26689 26954 26955 26690 f 26954 27219 27220 26955 f 27219 27484 27485 27220 f 27484 27749 27750 27485 f 27749 28014 28015 27750 f 28014 28279 28280 28015 f 28279 28544 28545 28280 f 28544 28809 28810 28545 f 28809 29074 29075 28810 f 29074 29339 29340 29075 f 29339 29604 29605 29340 f 29604 29869 29870 29605 f 29869 30134 30135 29870 f 30134 30399 30400 30135 f 30399 30664 30665 30400 f 30664 30929 30930 30665 f 30929 31194 31195 30930 f 31194 31459 31460 31195 f 31459 31724 31725 31460 f 31724 31989 31990 31725 f 4628 5755 5756 4629 f 5755 6020 6021 5756 f 6020 6285 6286 6021 f 6285 6550 6551 6286 f 6550 6815 6816 6551 f 6815 7080 7081 6816 f 7080 7345 7346 7081 f 7345 7610 7611 7346 f 7610 7875 7876 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18476 18211 f 18475 18740 18741 18476 f 18740 19005 19006 18741 f 19005 19270 19271 19006 f 19270 19535 19536 19271 f 19535 19800 19801 19536 f 19800 20065 20066 19801 f 20065 20330 20331 20066 f 20330 20595 20596 20331 f 20595 20860 20861 20596 f 20860 21125 21126 20861 f 21125 21390 21391 21126 f 21390 21655 21656 21391 f 21655 21920 21921 21656 f 21920 22185 22186 21921 f 22185 22450 22451 22186 f 22450 22715 22716 22451 f 22715 22980 22981 22716 f 22980 23245 23246 22981 f 23245 23510 23511 23246 f 23510 23775 23776 23511 f 23775 24040 24041 23776 f 24040 24305 24306 24041 f 24305 24570 24571 24306 f 24570 24835 24836 24571 f 24835 25100 25101 24836 f 25100 25365 25366 25101 f 25365 25630 25631 25366 f 25630 25895 25896 25631 f 25895 26160 26161 25896 f 26160 26425 26426 26161 f 26425 26690 26691 26426 f 26690 26955 26956 26691 f 26955 27220 27221 26956 f 27220 27485 27486 27221 f 27485 27750 27751 27486 f 27750 28015 28016 27751 f 28015 28280 28281 28016 f 28280 28545 28546 28281 f 28545 28810 28811 28546 f 28810 29075 29076 28811 f 29075 29340 29341 29076 f 29340 29605 29606 29341 f 29605 29870 29871 29606 f 29870 30135 30136 29871 f 30135 30400 30401 30136 f 30400 30665 30666 30401 f 30665 30930 30931 30666 f 30930 31195 31196 30931 f 31195 31460 31461 31196 f 31460 31725 31726 31461 f 31725 31990 31991 31726 f 4629 5756 5757 4630 f 5756 6021 6022 5757 f 6021 6286 6287 6022 f 6286 6551 6552 6287 f 6551 6816 6817 6552 f 6816 7081 7082 6817 f 7081 7346 7347 7082 f 7346 7611 7612 7347 f 7611 7876 7877 7612 f 7876 8141 8142 7877 f 8141 8406 8407 8142 f 8406 8671 8672 8407 f 8671 8936 8937 8672 f 8936 9201 9202 8937 f 9201 9466 9467 9202 f 9466 9731 9732 9467 f 9731 9996 9997 9732 f 9996 10261 10262 9997 f 10261 10526 10527 10262 f 10526 10791 10792 10527 f 10791 11056 11057 10792 f 11056 11321 11322 11057 f 11321 11586 11587 11322 f 11586 11851 11852 11587 f 11851 12116 12117 11852 f 12116 12381 12382 12117 f 12381 12646 12647 12382 f 12646 12911 12912 12647 f 12911 13176 13177 12912 f 13176 13441 13442 13177 f 13441 13706 13707 13442 f 13706 13971 13972 13707 f 13971 14236 14237 13972 f 14236 14501 14502 14237 f 14501 14766 14767 14502 f 14766 15031 15032 14767 f 15031 15296 15297 15032 f 15296 15561 15562 15297 f 15561 15826 15827 15562 f 15826 16091 16092 15827 f 16091 16356 16357 16092 f 16356 16621 16622 16357 f 16621 16886 16887 16622 f 16886 17151 17152 16887 f 17151 17416 17417 17152 f 17416 17681 17682 17417 f 17681 17946 17947 17682 f 17946 18211 18212 17947 f 18211 18476 18477 18212 f 18476 18741 18742 18477 f 18741 19006 19007 18742 f 19006 19271 19272 19007 f 19271 19536 19537 19272 f 19536 19801 19802 19537 f 19801 20066 20067 19802 f 20066 20331 20332 20067 f 20331 20596 20597 20332 f 20596 20861 20862 20597 f 20861 21126 21127 20862 f 21126 21391 21392 21127 f 21391 21656 21657 21392 f 21656 21921 21922 21657 f 21921 22186 22187 21922 f 22186 22451 22452 22187 f 22451 22716 22717 22452 f 22716 22981 22982 22717 f 22981 23246 23247 22982 f 23246 23511 23512 23247 f 23511 23776 23777 23512 f 23776 24041 24042 23777 f 24041 24306 24307 24042 f 24306 24571 24572 24307 f 24571 24836 24837 24572 f 24836 25101 25102 24837 f 25101 25366 25367 25102 f 25366 25631 25632 25367 f 25631 25896 25897 25632 f 25896 26161 26162 25897 f 26161 26426 26427 26162 f 26426 26691 26692 26427 f 26691 26956 26957 26692 f 26956 27221 27222 26957 f 27221 27486 27487 27222 f 27486 27751 27752 27487 f 27751 28016 28017 27752 f 28016 28281 28282 28017 f 28281 28546 28547 28282 f 28546 28811 28812 28547 f 28811 29076 29077 28812 f 29076 29341 29342 29077 f 29341 29606 29607 29342 f 29606 29871 29872 29607 f 29871 30136 30137 29872 f 30136 30401 30402 30137 f 30401 30666 30667 30402 f 30666 30931 30932 30667 f 30931 31196 31197 30932 f 31196 31461 31462 31197 f 31461 31726 31727 31462 f 31726 31991 31992 31727 f 4630 5757 5758 4631 f 5757 6022 6023 5758 f 6022 6287 6288 6023 f 6287 6552 6553 6288 f 6552 6817 6818 6553 f 6817 7082 7083 6818 f 7082 7347 7348 7083 f 7347 7612 7613 7348 f 7612 7877 7878 7613 f 7877 8142 8143 7878 f 8142 8407 8408 8143 f 8407 8672 8673 8408 f 8672 8937 8938 8673 f 8937 9202 9203 8938 f 9202 9467 9468 9203 f 9467 9732 9733 9468 f 9732 9997 9998 9733 f 9997 10262 10263 9998 f 10262 10527 10528 10263 f 10527 10792 10793 10528 f 10792 11057 11058 10793 f 11057 11322 11323 11058 f 11322 11587 11588 11323 f 11587 11852 11853 11588 f 11852 12117 12118 11853 f 12117 12382 12383 12118 f 12382 12647 12648 12383 f 12647 12912 12913 12648 f 12912 13177 13178 12913 f 13177 13442 13443 13178 f 13442 13707 13708 13443 f 13707 13972 13973 13708 f 13972 14237 14238 13973 f 14237 14502 14503 14238 f 14502 14767 14768 14503 f 14767 15032 15033 14768 f 15032 15297 15298 15033 f 15297 15562 15563 15298 f 15562 15827 15828 15563 f 15827 16092 16093 15828 f 16092 16357 16358 16093 f 16357 16622 16623 16358 f 16622 16887 16888 16623 f 16887 17152 17153 16888 f 17152 17417 17418 17153 f 17417 17682 17683 17418 f 17682 17947 17948 17683 f 17947 18212 18213 17948 f 18212 18477 18478 18213 f 18477 18742 18743 18478 f 18742 19007 19008 18743 f 19007 19272 19273 19008 f 19272 19537 19538 19273 f 19537 19802 19803 19538 f 19802 20067 20068 19803 f 20067 20332 20333 20068 f 20332 20597 20598 20333 f 20597 20862 20863 20598 f 20862 21127 21128 20863 f 21127 21392 21393 21128 f 21392 21657 21658 21393 f 21657 21922 21923 21658 f 21922 22187 22188 21923 f 22187 22452 22453 22188 f 22452 22717 22718 22453 f 22717 22982 22983 22718 f 22982 23247 23248 22983 f 23247 23512 23513 23248 f 23512 23777 23778 23513 f 23777 24042 24043 23778 f 24042 24307 24308 24043 f 24307 24572 24573 24308 f 24572 24837 24838 24573 f 24837 25102 25103 24838 f 25102 25367 25368 25103 f 25367 25632 25633 25368 f 25632 25897 25898 25633 f 25897 26162 26163 25898 f 26162 26427 26428 26163 f 26427 26692 26693 26428 f 26692 26957 26958 26693 f 26957 27222 27223 26958 f 27222 27487 27488 27223 f 27487 27752 27753 27488 f 27752 28017 28018 27753 f 28017 28282 28283 28018 f 28282 28547 28548 28283 f 28547 28812 28813 28548 f 28812 29077 29078 28813 f 29077 29342 29343 29078 f 29342 29607 29608 29343 f 29607 29872 29873 29608 f 29872 30137 30138 29873 f 30137 30402 30403 30138 f 30402 30667 30668 30403 f 30667 30932 30933 30668 f 30932 31197 31198 30933 f 31197 31462 31463 31198 f 31462 31727 31728 31463 f 31727 31992 31993 31728 f 4631 5758 5759 4632 f 5758 6023 6024 5759 f 6023 6288 6289 6024 f 6288 6553 6554 6289 f 6553 6818 6819 6554 f 6818 7083 7084 6819 f 7083 7348 7349 7084 f 7348 7613 7614 7349 f 7613 7878 7879 7614 f 7878 8143 8144 7879 f 8143 8408 8409 8144 f 8408 8673 8674 8409 f 8673 8938 8939 8674 f 8938 9203 9204 8939 f 9203 9468 9469 9204 f 9468 9733 9734 9469 f 9733 9998 9999 9734 f 9998 10263 10264 9999 f 10263 10528 10529 10264 f 10528 10793 10794 10529 f 10793 11058 11059 10794 f 11058 11323 11324 11059 f 11323 11588 11589 11324 f 11588 11853 11854 11589 f 11853 12118 12119 11854 f 12118 12383 12384 12119 f 12383 12648 12649 12384 f 12648 12913 12914 12649 f 12913 13178 13179 12914 f 13178 13443 13444 13179 f 13443 13708 13709 13444 f 13708 13973 13974 13709 f 13973 14238 14239 13974 f 14238 14503 14504 14239 f 14503 14768 14769 14504 f 14768 15033 15034 14769 f 15033 15298 15299 15034 f 15298 15563 15564 15299 f 15563 15828 15829 15564 f 15828 16093 16094 15829 f 16093 16358 16359 16094 f 16358 16623 16624 16359 f 16623 16888 16889 16624 f 16888 17153 17154 16889 f 17153 17418 17419 17154 f 17418 17683 17684 17419 f 17683 17948 17949 17684 f 17948 18213 18214 17949 f 18213 18478 18479 18214 f 18478 18743 18744 18479 f 18743 19008 19009 18744 f 19008 19273 19274 19009 f 19273 19538 19539 19274 f 19538 19803 19804 19539 f 19803 20068 20069 19804 f 20068 20333 20334 20069 f 20333 20598 20599 20334 f 20598 20863 20864 20599 f 20863 21128 21129 20864 f 21128 21393 21394 21129 f 21393 21658 21659 21394 f 21658 21923 21924 21659 f 21923 22188 22189 21924 f 22188 22453 22454 22189 f 22453 22718 22719 22454 f 22718 22983 22984 22719 f 22983 23248 23249 22984 f 23248 23513 23514 23249 f 23513 23778 23779 23514 f 23778 24043 24044 23779 f 24043 24308 24309 24044 f 24308 24573 24574 24309 f 24573 24838 24839 24574 f 24838 25103 25104 24839 f 25103 25368 25369 25104 f 25368 25633 25634 25369 f 25633 25898 25899 25634 f 25898 26163 26164 25899 f 26163 26428 26429 26164 f 26428 26693 26694 26429 f 26693 26958 26959 26694 f 26958 27223 27224 26959 f 27223 27488 27489 27224 f 27488 27753 27754 27489 f 27753 28018 28019 27754 f 28018 28283 28284 28019 f 28283 28548 28549 28284 f 28548 28813 28814 28549 f 28813 29078 29079 28814 f 29078 29343 29344 29079 f 29343 29608 29609 29344 f 29608 29873 29874 29609 f 29873 30138 30139 29874 f 30138 30403 30404 30139 f 30403 30668 30669 30404 f 30668 30933 30934 30669 f 30933 31198 31199 30934 f 31198 31463 31464 31199 f 31463 31728 31729 31464 f 31728 31993 31994 31729 f 4632 5759 5760 4633 f 5759 6024 6025 5760 f 6024 6289 6290 6025 f 6289 6554 6555 6290 f 6554 6819 6820 6555 f 6819 7084 7085 6820 f 7084 7349 7350 7085 f 7349 7614 7615 7350 f 7614 7879 7880 7615 f 7879 8144 8145 7880 f 8144 8409 8410 8145 f 8409 8674 8675 8410 f 8674 8939 8940 8675 f 8939 9204 9205 8940 f 9204 9469 9470 9205 f 9469 9734 9735 9470 f 9734 9999 10000 9735 f 9999 10264 10265 10000 f 10264 10529 10530 10265 f 10529 10794 10795 10530 f 10794 11059 11060 10795 f 11059 11324 11325 11060 f 11324 11589 11590 11325 f 11589 11854 11855 11590 f 11854 12119 12120 11855 f 12119 12384 12385 12120 f 12384 12649 12650 12385 f 12649 12914 12915 12650 f 12914 13179 13180 12915 f 13179 13444 13445 13180 f 13444 13709 13710 13445 f 13709 13974 13975 13710 f 13974 14239 14240 13975 f 14239 14504 14505 14240 f 14504 14769 14770 14505 f 14769 15034 15035 14770 f 15034 15299 15300 15035 f 15299 15564 15565 15300 f 15564 15829 15830 15565 f 15829 16094 16095 15830 f 16094 16359 16360 16095 f 16359 16624 16625 16360 f 16624 16889 16890 16625 f 16889 17154 17155 16890 f 17154 17419 17420 17155 f 17419 17684 17685 17420 f 17684 17949 17950 17685 f 17949 18214 18215 17950 f 18214 18479 18480 18215 f 18479 18744 18745 18480 f 18744 19009 19010 18745 f 19009 19274 19275 19010 f 19274 19539 19540 19275 f 19539 19804 19805 19540 f 19804 20069 20070 19805 f 20069 20334 20335 20070 f 20334 20599 20600 20335 f 20599 20864 20865 20600 f 20864 21129 21130 20865 f 21129 21394 21395 21130 f 21394 21659 21660 21395 f 21659 21924 21925 21660 f 21924 22189 22190 21925 f 22189 22454 22455 22190 f 22454 22719 22720 22455 f 22719 22984 22985 22720 f 22984 23249 23250 22985 f 23249 23514 23515 23250 f 23514 23779 23780 23515 f 23779 24044 24045 23780 f 24044 24309 24310 24045 f 24309 24574 24575 24310 f 24574 24839 24840 24575 f 24839 25104 25105 24840 f 25104 25369 25370 25105 f 25369 25634 25635 25370 f 25634 25899 25900 25635 f 25899 26164 26165 25900 f 26164 26429 26430 26165 f 26429 26694 26695 26430 f 26694 26959 26960 26695 f 26959 27224 27225 26960 f 27224 27489 27490 27225 f 27489 27754 27755 27490 f 27754 28019 28020 27755 f 28019 28284 28285 28020 f 28284 28549 28550 28285 f 28549 28814 28815 28550 f 28814 29079 29080 28815 f 29079 29344 29345 29080 f 29344 29609 29610 29345 f 29609 29874 29875 29610 f 29874 30139 30140 29875 f 30139 30404 30405 30140 f 30404 30669 30670 30405 f 30669 30934 30935 30670 f 30934 31199 31200 30935 f 31199 31464 31465 31200 f 31464 31729 31730 31465 f 31729 31994 31995 31730 f 4633 5760 5761 4634 f 5760 6025 6026 5761 f 6025 6290 6291 6026 f 6290 6555 6556 6291 f 6555 6820 6821 6556 f 6820 7085 7086 6821 f 7085 7350 7351 7086 f 7350 7615 7616 7351 f 7615 7880 7881 7616 f 7880 8145 8146 7881 f 8145 8410 8411 8146 f 8410 8675 8676 8411 f 8675 8940 8941 8676 f 8940 9205 9206 8941 f 9205 9470 9471 9206 f 9470 9735 9736 9471 f 9735 10000 10001 9736 f 10000 10265 10266 10001 f 10265 10530 10531 10266 f 10530 10795 10796 10531 f 10795 11060 11061 10796 f 11060 11325 11326 11061 f 11325 11590 11591 11326 f 11590 11855 11856 11591 f 11855 12120 12121 11856 f 12120 12385 12386 12121 f 12385 12650 12651 12386 f 12650 12915 12916 12651 f 12915 13180 13181 12916 f 13180 13445 13446 13181 f 13445 13710 13711 13446 f 13710 13975 13976 13711 f 13975 14240 14241 13976 f 14240 14505 14506 14241 f 14505 14770 14771 14506 f 14770 15035 15036 14771 f 15035 15300 15301 15036 f 15300 15565 15566 15301 f 15565 15830 15831 15566 f 15830 16095 16096 15831 f 16095 16360 16361 16096 f 16360 16625 16626 16361 f 16625 16890 16891 16626 f 16890 17155 17156 16891 f 17155 17420 17421 17156 f 17420 17685 17686 17421 f 17685 17950 17951 17686 f 17950 18215 18216 17951 f 18215 18480 18481 18216 f 18480 18745 18746 18481 f 18745 19010 19011 18746 f 19010 19275 19276 19011 f 19275 19540 19541 19276 f 19540 19805 19806 19541 f 19805 20070 20071 19806 f 20070 20335 20336 20071 f 20335 20600 20601 20336 f 20600 20865 20866 20601 f 20865 21130 21131 20866 f 21130 21395 21396 21131 f 21395 21660 21661 21396 f 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31996 31731 f 4634 5761 5762 4635 f 5761 6026 6027 5762 f 6026 6291 6292 6027 f 6291 6556 6557 6292 f 6556 6821 6822 6557 f 6821 7086 7087 6822 f 7086 7351 7352 7087 f 7351 7616 7617 7352 f 7616 7881 7882 7617 f 7881 8146 8147 7882 f 8146 8411 8412 8147 f 8411 8676 8677 8412 f 8676 8941 8942 8677 f 8941 9206 9207 8942 f 9206 9471 9472 9207 f 9471 9736 9737 9472 f 9736 10001 10002 9737 f 10001 10266 10267 10002 f 10266 10531 10532 10267 f 10531 10796 10797 10532 f 10796 11061 11062 10797 f 11061 11326 11327 11062 f 11326 11591 11592 11327 f 11591 11856 11857 11592 f 11856 12121 12122 11857 f 12121 12386 12387 12122 f 12386 12651 12652 12387 f 12651 12916 12917 12652 f 12916 13181 13182 12917 f 13181 13446 13447 13182 f 13446 13711 13712 13447 f 13711 13976 13977 13712 f 13976 14241 14242 13977 f 14241 14506 14507 14242 f 14506 14771 14772 14507 f 14771 15036 15037 14772 f 15036 15301 15302 15037 f 15301 15566 15567 15302 f 15566 15831 15832 15567 f 15831 16096 16097 15832 f 16096 16361 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f 17960 18225 18226 17961 f 18225 18490 18491 18226 f 18490 18755 18756 18491 f 18755 19020 19021 18756 f 19020 19285 19286 19021 f 19285 19550 19551 19286 f 19550 19815 19816 19551 f 19815 20080 20081 19816 f 20080 20345 20346 20081 f 20345 20610 20611 20346 f 20610 20875 20876 20611 f 20875 21140 21141 20876 f 21140 21405 21406 21141 f 21405 21670 21671 21406 f 21670 21935 21936 21671 f 21935 22200 22201 21936 f 22200 22465 22466 22201 f 22465 22730 22731 22466 f 22730 22995 22996 22731 f 22995 23260 23261 22996 f 23260 23525 23526 23261 f 23525 23790 23791 23526 f 23790 24055 24056 23791 f 24055 24320 24321 24056 f 24320 24585 24586 24321 f 24585 24850 24851 24586 f 24850 25115 25116 24851 f 25115 25380 25381 25116 f 25380 25645 25646 25381 f 25645 25910 25911 25646 f 25910 26175 26176 25911 f 26175 26440 26441 26176 f 26440 26705 26706 26441 f 26705 26970 26971 26706 f 26970 27235 27236 26971 f 27235 27500 27501 27236 f 27500 27765 27766 27501 f 27765 28030 28031 27766 f 28030 28295 28296 28031 f 28295 28560 28561 28296 f 28560 28825 28826 28561 f 28825 29090 29091 28826 f 29090 29355 29356 29091 f 29355 29620 29621 29356 f 29620 29885 29886 29621 f 29885 30150 30151 29886 f 30150 30415 30416 30151 f 30415 30680 30681 30416 f 30680 30945 30946 30681 f 30945 31210 31211 30946 f 31210 31475 31476 31211 f 31475 31740 31741 31476 f 31740 32005 32006 31741 f 4644 5771 5772 4645 f 5771 6036 6037 5772 f 6036 6301 6302 6037 f 6301 6566 6567 6302 f 6566 6831 6832 6567 f 6831 7096 7097 6832 f 7096 7361 7362 7097 f 7361 7626 7627 7362 f 7626 7891 7892 7627 f 7891 8156 8157 7892 f 8156 8421 8422 8157 f 8421 8686 8687 8422 f 8686 8951 8952 8687 f 8951 9216 9217 8952 f 9216 9481 9482 9217 f 9481 9746 9747 9482 f 9746 10011 10012 9747 f 10011 10276 10277 10012 f 10276 10541 10542 10277 f 10541 10806 10807 10542 f 10806 11071 11072 10807 f 11071 11336 11337 11072 f 11336 11601 11602 11337 f 11601 11866 11867 11602 f 11866 12131 12132 11867 f 12131 12396 12397 12132 f 12396 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22467 f 22731 22996 22997 22732 f 22996 23261 23262 22997 f 23261 23526 23527 23262 f 23526 23791 23792 23527 f 23791 24056 24057 23792 f 24056 24321 24322 24057 f 24321 24586 24587 24322 f 24586 24851 24852 24587 f 24851 25116 25117 24852 f 25116 25381 25382 25117 f 25381 25646 25647 25382 f 25646 25911 25912 25647 f 25911 26176 26177 25912 f 26176 26441 26442 26177 f 26441 26706 26707 26442 f 26706 26971 26972 26707 f 26971 27236 27237 26972 f 27236 27501 27502 27237 f 27501 27766 27767 27502 f 27766 28031 28032 27767 f 28031 28296 28297 28032 f 28296 28561 28562 28297 f 28561 28826 28827 28562 f 28826 29091 29092 28827 f 29091 29356 29357 29092 f 29356 29621 29622 29357 f 29621 29886 29887 29622 f 29886 30151 30152 29887 f 30151 30416 30417 30152 f 30416 30681 30682 30417 f 30681 30946 30947 30682 f 30946 31211 31212 30947 f 31211 31476 31477 31212 f 31476 31741 31742 31477 f 31741 32006 32007 31742 f 4645 5772 5773 4646 f 5772 6037 6038 5773 f 6037 6302 6303 6038 f 6302 6567 6568 6303 f 6567 6832 6833 6568 f 6832 7097 7098 6833 f 7097 7362 7363 7098 f 7362 7627 7628 7363 f 7627 7892 7893 7628 f 7892 8157 8158 7893 f 8157 8422 8423 8158 f 8422 8687 8688 8423 f 8687 8952 8953 8688 f 8952 9217 9218 8953 f 9217 9482 9483 9218 f 9482 9747 9748 9483 f 9747 10012 10013 9748 f 10012 10277 10278 10013 f 10277 10542 10543 10278 f 10542 10807 10808 10543 f 10807 11072 11073 10808 f 11072 11337 11338 11073 f 11337 11602 11603 11338 f 11602 11867 11868 11603 f 11867 12132 12133 11868 f 12132 12397 12398 12133 f 12397 12662 12663 12398 f 12662 12927 12928 12663 f 12927 13192 13193 12928 f 13192 13457 13458 13193 f 13457 13722 13723 13458 f 13722 13987 13988 13723 f 13987 14252 14253 13988 f 14252 14517 14518 14253 f 14517 14782 14783 14518 f 14782 15047 15048 14783 f 15047 15312 15313 15048 f 15312 15577 15578 15313 f 15577 15842 15843 15578 f 15842 16107 16108 15843 f 16107 16372 16373 16108 f 16372 16637 16638 16373 f 16637 16902 16903 16638 f 16902 17167 17168 16903 f 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27503 27238 f 27502 27767 27768 27503 f 27767 28032 28033 27768 f 28032 28297 28298 28033 f 28297 28562 28563 28298 f 28562 28827 28828 28563 f 28827 29092 29093 28828 f 29092 29357 29358 29093 f 29357 29622 29623 29358 f 29622 29887 29888 29623 f 29887 30152 30153 29888 f 30152 30417 30418 30153 f 30417 30682 30683 30418 f 30682 30947 30948 30683 f 30947 31212 31213 30948 f 31212 31477 31478 31213 f 31477 31742 31743 31478 f 31742 32007 32008 31743 f 4646 5773 5774 4647 f 5773 6038 6039 5774 f 6038 6303 6304 6039 f 6303 6568 6569 6304 f 6568 6833 6834 6569 f 6833 7098 7099 6834 f 7098 7363 7364 7099 f 7363 7628 7629 7364 f 7628 7893 7894 7629 f 7893 8158 8159 7894 f 8158 8423 8424 8159 f 8423 8688 8689 8424 f 8688 8953 8954 8689 f 8953 9218 9219 8954 f 9218 9483 9484 9219 f 9483 9748 9749 9484 f 9748 10013 10014 9749 f 10013 10278 10279 10014 f 10278 10543 10544 10279 f 10543 10808 10809 10544 f 10808 11073 11074 10809 f 11073 11338 11339 11074 f 11338 11603 11604 11339 f 11603 11868 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f 21938 22203 22204 21939 f 22203 22468 22469 22204 f 22468 22733 22734 22469 f 22733 22998 22999 22734 f 22998 23263 23264 22999 f 23263 23528 23529 23264 f 23528 23793 23794 23529 f 23793 24058 24059 23794 f 24058 24323 24324 24059 f 24323 24588 24589 24324 f 24588 24853 24854 24589 f 24853 25118 25119 24854 f 25118 25383 25384 25119 f 25383 25648 25649 25384 f 25648 25913 25914 25649 f 25913 26178 26179 25914 f 26178 26443 26444 26179 f 26443 26708 26709 26444 f 26708 26973 26974 26709 f 26973 27238 27239 26974 f 27238 27503 27504 27239 f 27503 27768 27769 27504 f 27768 28033 28034 27769 f 28033 28298 28299 28034 f 28298 28563 28564 28299 f 28563 28828 28829 28564 f 28828 29093 29094 28829 f 29093 29358 29359 29094 f 29358 29623 29624 29359 f 29623 29888 29889 29624 f 29888 30153 30154 29889 f 30153 30418 30419 30154 f 30418 30683 30684 30419 f 30683 30948 30949 30684 f 30948 31213 31214 30949 f 31213 31478 31479 31214 f 31478 31743 31744 31479 f 31743 32008 32009 31744 f 4647 5774 5775 4648 f 5774 6039 6040 5775 f 6039 6304 6305 6040 f 6304 6569 6570 6305 f 6569 6834 6835 6570 f 6834 7099 7100 6835 f 7099 7364 7365 7100 f 7364 7629 7630 7365 f 7629 7894 7895 7630 f 7894 8159 8160 7895 f 8159 8424 8425 8160 f 8424 8689 8690 8425 f 8689 8954 8955 8690 f 8954 9219 9220 8955 f 9219 9484 9485 9220 f 9484 9749 9750 9485 f 9749 10014 10015 9750 f 10014 10279 10280 10015 f 10279 10544 10545 10280 f 10544 10809 10810 10545 f 10809 11074 11075 10810 f 11074 11339 11340 11075 f 11339 11604 11605 11340 f 11604 11869 11870 11605 f 11869 12134 12135 11870 f 12134 12399 12400 12135 f 12399 12664 12665 12400 f 12664 12929 12930 12665 f 12929 13194 13195 12930 f 13194 13459 13460 13195 f 13459 13724 13725 13460 f 13724 13989 13990 13725 f 13989 14254 14255 13990 f 14254 14519 14520 14255 f 14519 14784 14785 14520 f 14784 15049 15050 14785 f 15049 15314 15315 15050 f 15314 15579 15580 15315 f 15579 15844 15845 15580 f 15844 16109 16110 15845 f 16109 16374 16375 16110 f 16374 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26445 f 26709 26974 26975 26710 f 26974 27239 27240 26975 f 27239 27504 27505 27240 f 27504 27769 27770 27505 f 27769 28034 28035 27770 f 28034 28299 28300 28035 f 28299 28564 28565 28300 f 28564 28829 28830 28565 f 28829 29094 29095 28830 f 29094 29359 29360 29095 f 29359 29624 29625 29360 f 29624 29889 29890 29625 f 29889 30154 30155 29890 f 30154 30419 30420 30155 f 30419 30684 30685 30420 f 30684 30949 30950 30685 f 30949 31214 31215 30950 f 31214 31479 31480 31215 f 31479 31744 31745 31480 f 31744 32009 32010 31745 f 4648 5775 5776 4649 f 5775 6040 6041 5776 f 6040 6305 6306 6041 f 6305 6570 6571 6306 f 6570 6835 6836 6571 f 6835 7100 7101 6836 f 7100 7365 7366 7101 f 7365 7630 7631 7366 f 7630 7895 7896 7631 f 7895 8160 8161 7896 f 8160 8425 8426 8161 f 8425 8690 8691 8426 f 8690 8955 8956 8691 f 8955 9220 9221 8956 f 9220 9485 9486 9221 f 9485 9750 9751 9486 f 9750 10015 10016 9751 f 10015 10280 10281 10016 f 10280 10545 10546 10281 f 10545 10810 10811 10546 f 10810 11075 11076 10811 f 11075 11340 11341 11076 f 11340 11605 11606 11341 f 11605 11870 11871 11606 f 11870 12135 12136 11871 f 12135 12400 12401 12136 f 12400 12665 12666 12401 f 12665 12930 12931 12666 f 12930 13195 13196 12931 f 13195 13460 13461 13196 f 13460 13725 13726 13461 f 13725 13990 13991 13726 f 13990 14255 14256 13991 f 14255 14520 14521 14256 f 14520 14785 14786 14521 f 14785 15050 15051 14786 f 15050 15315 15316 15051 f 15315 15580 15581 15316 f 15580 15845 15846 15581 f 15845 16110 16111 15846 f 16110 16375 16376 16111 f 16375 16640 16641 16376 f 16640 16905 16906 16641 f 16905 17170 17171 16906 f 17170 17435 17436 17171 f 17435 17700 17701 17436 f 17700 17965 17966 17701 f 17965 18230 18231 17966 f 18230 18495 18496 18231 f 18495 18760 18761 18496 f 18760 19025 19026 18761 f 19025 19290 19291 19026 f 19290 19555 19556 19291 f 19555 19820 19821 19556 f 19820 20085 20086 19821 f 20085 20350 20351 20086 f 20350 20615 20616 20351 f 20615 20880 20881 20616 f 20880 21145 21146 20881 f 21145 21410 21411 21146 f 21410 21675 21676 21411 f 21675 21940 21941 21676 f 21940 22205 22206 21941 f 22205 22470 22471 22206 f 22470 22735 22736 22471 f 22735 23000 23001 22736 f 23000 23265 23266 23001 f 23265 23530 23531 23266 f 23530 23795 23796 23531 f 23795 24060 24061 23796 f 24060 24325 24326 24061 f 24325 24590 24591 24326 f 24590 24855 24856 24591 f 24855 25120 25121 24856 f 25120 25385 25386 25121 f 25385 25650 25651 25386 f 25650 25915 25916 25651 f 25915 26180 26181 25916 f 26180 26445 26446 26181 f 26445 26710 26711 26446 f 26710 26975 26976 26711 f 26975 27240 27241 26976 f 27240 27505 27506 27241 f 27505 27770 27771 27506 f 27770 28035 28036 27771 f 28035 28300 28301 28036 f 28300 28565 28566 28301 f 28565 28830 28831 28566 f 28830 29095 29096 28831 f 29095 29360 29361 29096 f 29360 29625 29626 29361 f 29625 29890 29891 29626 f 29890 30155 30156 29891 f 30155 30420 30421 30156 f 30420 30685 30686 30421 f 30685 30950 30951 30686 f 30950 31215 31216 30951 f 31215 31480 31481 31216 f 31480 31745 31746 31481 f 31745 32010 32011 31746 f 4649 5776 5777 4650 f 5776 6041 6042 5777 f 6041 6306 6307 6042 f 6306 6571 6572 6307 f 6571 6836 6837 6572 f 6836 7101 7102 6837 f 7101 7366 7367 7102 f 7366 7631 7632 7367 f 7631 7896 7897 7632 f 7896 8161 8162 7897 f 8161 8426 8427 8162 f 8426 8691 8692 8427 f 8691 8956 8957 8692 f 8956 9221 9222 8957 f 9221 9486 9487 9222 f 9486 9751 9752 9487 f 9751 10016 10017 9752 f 10016 10281 10282 10017 f 10281 10546 10547 10282 f 10546 10811 10812 10547 f 10811 11076 11077 10812 f 11076 11341 11342 11077 f 11341 11606 11607 11342 f 11606 11871 11872 11607 f 11871 12136 12137 11872 f 12136 12401 12402 12137 f 12401 12666 12667 12402 f 12666 12931 12932 12667 f 12931 13196 13197 12932 f 13196 13461 13462 13197 f 13461 13726 13727 13462 f 13726 13991 13992 13727 f 13991 14256 14257 13992 f 14256 14521 14522 14257 f 14521 14786 14787 14522 f 14786 15051 15052 14787 f 15051 15316 15317 15052 f 15316 15581 15582 15317 f 15581 15846 15847 15582 f 15846 16111 16112 15847 f 16111 16376 16377 16112 f 16376 16641 16642 16377 f 16641 16906 16907 16642 f 16906 17171 17172 16907 f 17171 17436 17437 17172 f 17436 17701 17702 17437 f 17701 17966 17967 17702 f 17966 18231 18232 17967 f 18231 18496 18497 18232 f 18496 18761 18762 18497 f 18761 19026 19027 18762 f 19026 19291 19292 19027 f 19291 19556 19557 19292 f 19556 19821 19822 19557 f 19821 20086 20087 19822 f 20086 20351 20352 20087 f 20351 20616 20617 20352 f 20616 20881 20882 20617 f 20881 21146 21147 20882 f 21146 21411 21412 21147 f 21411 21676 21677 21412 f 21676 21941 21942 21677 f 21941 22206 22207 21942 f 22206 22471 22472 22207 f 22471 22736 22737 22472 f 22736 23001 23002 22737 f 23001 23266 23267 23002 f 23266 23531 23532 23267 f 23531 23796 23797 23532 f 23796 24061 24062 23797 f 24061 24326 24327 24062 f 24326 24591 24592 24327 f 24591 24856 24857 24592 f 24856 25121 25122 24857 f 25121 25386 25387 25122 f 25386 25651 25652 25387 f 25651 25916 25917 25652 f 25916 26181 26182 25917 f 26181 26446 26447 26182 f 26446 26711 26712 26447 f 26711 26976 26977 26712 f 26976 27241 27242 26977 f 27241 27506 27507 27242 f 27506 27771 27772 27507 f 27771 28036 28037 27772 f 28036 28301 28302 28037 f 28301 28566 28567 28302 f 28566 28831 28832 28567 f 28831 29096 29097 28832 f 29096 29361 29362 29097 f 29361 29626 29627 29362 f 29626 29891 29892 29627 f 29891 30156 30157 29892 f 30156 30421 30422 30157 f 30421 30686 30687 30422 f 30686 30951 30952 30687 f 30951 31216 31217 30952 f 31216 31481 31482 31217 f 31481 31746 31747 31482 f 31746 32011 32012 31747 f 4650 5777 5778 4651 f 5777 6042 6043 5778 f 6042 6307 6308 6043 f 6307 6572 6573 6308 f 6572 6837 6838 6573 f 6837 7102 7103 6838 f 7102 7367 7368 7103 f 7367 7632 7633 7368 f 7632 7897 7898 7633 f 7897 8162 8163 7898 f 8162 8427 8428 8163 f 8427 8692 8693 8428 f 8692 8957 8958 8693 f 8957 9222 9223 8958 f 9222 9487 9488 9223 f 9487 9752 9753 9488 f 9752 10017 10018 9753 f 10017 10282 10283 10018 f 10282 10547 10548 10283 f 10547 10812 10813 10548 f 10812 11077 11078 10813 f 11077 11342 11343 11078 f 11342 11607 11608 11343 f 11607 11872 11873 11608 f 11872 12137 12138 11873 f 12137 12402 12403 12138 f 12402 12667 12668 12403 f 12667 12932 12933 12668 f 12932 13197 13198 12933 f 13197 13462 13463 13198 f 13462 13727 13728 13463 f 13727 13992 13993 13728 f 13992 14257 14258 13993 f 14257 14522 14523 14258 f 14522 14787 14788 14523 f 14787 15052 15053 14788 f 15052 15317 15318 15053 f 15317 15582 15583 15318 f 15582 15847 15848 15583 f 15847 16112 16113 15848 f 16112 16377 16378 16113 f 16377 16642 16643 16378 f 16642 16907 16908 16643 f 16907 17172 17173 16908 f 17172 17437 17438 17173 f 17437 17702 17703 17438 f 17702 17967 17968 17703 f 17967 18232 18233 17968 f 18232 18497 18498 18233 f 18497 18762 18763 18498 f 18762 19027 19028 18763 f 19027 19292 19293 19028 f 19292 19557 19558 19293 f 19557 19822 19823 19558 f 19822 20087 20088 19823 f 20087 20352 20353 20088 f 20352 20617 20618 20353 f 20617 20882 20883 20618 f 20882 21147 21148 20883 f 21147 21412 21413 21148 f 21412 21677 21678 21413 f 21677 21942 21943 21678 f 21942 22207 22208 21943 f 22207 22472 22473 22208 f 22472 22737 22738 22473 f 22737 23002 23003 22738 f 23002 23267 23268 23003 f 23267 23532 23533 23268 f 23532 23797 23798 23533 f 23797 24062 24063 23798 f 24062 24327 24328 24063 f 24327 24592 24593 24328 f 24592 24857 24858 24593 f 24857 25122 25123 24858 f 25122 25387 25388 25123 f 25387 25652 25653 25388 f 25652 25917 25918 25653 f 25917 26182 26183 25918 f 26182 26447 26448 26183 f 26447 26712 26713 26448 f 26712 26977 26978 26713 f 26977 27242 27243 26978 f 27242 27507 27508 27243 f 27507 27772 27773 27508 f 27772 28037 28038 27773 f 28037 28302 28303 28038 f 28302 28567 28568 28303 f 28567 28832 28833 28568 f 28832 29097 29098 28833 f 29097 29362 29363 29098 f 29362 29627 29628 29363 f 29627 29892 29893 29628 f 29892 30157 30158 29893 f 30157 30422 30423 30158 f 30422 30687 30688 30423 f 30687 30952 30953 30688 f 30952 31217 31218 30953 f 31217 31482 31483 31218 f 31482 31747 31748 31483 f 31747 32012 32013 31748 f 4651 5778 5779 4652 f 5778 6043 6044 5779 f 6043 6308 6309 6044 f 6308 6573 6574 6309 f 6573 6838 6839 6574 f 6838 7103 7104 6839 f 7103 7368 7369 7104 f 7368 7633 7634 7369 f 7633 7898 7899 7634 f 7898 8163 8164 7899 f 8163 8428 8429 8164 f 8428 8693 8694 8429 f 8693 8958 8959 8694 f 8958 9223 9224 8959 f 9223 9488 9489 9224 f 9488 9753 9754 9489 f 9753 10018 10019 9754 f 10018 10283 10284 10019 f 10283 10548 10549 10284 f 10548 10813 10814 10549 f 10813 11078 11079 10814 f 11078 11343 11344 11079 f 11343 11608 11609 11344 f 11608 11873 11874 11609 f 11873 12138 12139 11874 f 12138 12403 12404 12139 f 12403 12668 12669 12404 f 12668 12933 12934 12669 f 12933 13198 13199 12934 f 13198 13463 13464 13199 f 13463 13728 13729 13464 f 13728 13993 13994 13729 f 13993 14258 14259 13994 f 14258 14523 14524 14259 f 14523 14788 14789 14524 f 14788 15053 15054 14789 f 15053 15318 15319 15054 f 15318 15583 15584 15319 f 15583 15848 15849 15584 f 15848 16113 16114 15849 f 16113 16378 16379 16114 f 16378 16643 16644 16379 f 16643 16908 16909 16644 f 16908 17173 17174 16909 f 17173 17438 17439 17174 f 17438 17703 17704 17439 f 17703 17968 17969 17704 f 17968 18233 18234 17969 f 18233 18498 18499 18234 f 18498 18763 18764 18499 f 18763 19028 19029 18764 f 19028 19293 19294 19029 f 19293 19558 19559 19294 f 19558 19823 19824 19559 f 19823 20088 20089 19824 f 20088 20353 20354 20089 f 20353 20618 20619 20354 f 20618 20883 20884 20619 f 20883 21148 21149 20884 f 21148 21413 21414 21149 f 21413 21678 21679 21414 f 21678 21943 21944 21679 f 21943 22208 22209 21944 f 22208 22473 22474 22209 f 22473 22738 22739 22474 f 22738 23003 23004 22739 f 23003 23268 23269 23004 f 23268 23533 23534 23269 f 23533 23798 23799 23534 f 23798 24063 24064 23799 f 24063 24328 24329 24064 f 24328 24593 24594 24329 f 24593 24858 24859 24594 f 24858 25123 25124 24859 f 25123 25388 25389 25124 f 25388 25653 25654 25389 f 25653 25918 25919 25654 f 25918 26183 26184 25919 f 26183 26448 26449 26184 f 26448 26713 26714 26449 f 26713 26978 26979 26714 f 26978 27243 27244 26979 f 27243 27508 27509 27244 f 27508 27773 27774 27509 f 27773 28038 28039 27774 f 28038 28303 28304 28039 f 28303 28568 28569 28304 f 28568 28833 28834 28569 f 28833 29098 29099 28834 f 29098 29363 29364 29099 f 29363 29628 29629 29364 f 29628 29893 29894 29629 f 29893 30158 30159 29894 f 30158 30423 30424 30159 f 30423 30688 30689 30424 f 30688 30953 30954 30689 f 30953 31218 31219 30954 f 31218 31483 31484 31219 f 31483 31748 31749 31484 f 31748 32013 32014 31749 f 4652 5779 5780 4653 f 5779 6044 6045 5780 f 6044 6309 6310 6045 f 6309 6574 6575 6310 f 6574 6839 6840 6575 f 6839 7104 7105 6840 f 7104 7369 7370 7105 f 7369 7634 7635 7370 f 7634 7899 7900 7635 f 7899 8164 8165 7900 f 8164 8429 8430 8165 f 8429 8694 8695 8430 f 8694 8959 8960 8695 f 8959 9224 9225 8960 f 9224 9489 9490 9225 f 9489 9754 9755 9490 f 9754 10019 10020 9755 f 10019 10284 10285 10020 f 10284 10549 10550 10285 f 10549 10814 10815 10550 f 10814 11079 11080 10815 f 11079 11344 11345 11080 f 11344 11609 11610 11345 f 11609 11874 11875 11610 f 11874 12139 12140 11875 f 12139 12404 12405 12140 f 12404 12669 12670 12405 f 12669 12934 12935 12670 f 12934 13199 13200 12935 f 13199 13464 13465 13200 f 13464 13729 13730 13465 f 13729 13994 13995 13730 f 13994 14259 14260 13995 f 14259 14524 14525 14260 f 14524 14789 14790 14525 f 14789 15054 15055 14790 f 15054 15319 15320 15055 f 15319 15584 15585 15320 f 15584 15849 15850 15585 f 15849 16114 16115 15850 f 16114 16379 16380 16115 f 16379 16644 16645 16380 f 16644 16909 16910 16645 f 16909 17174 17175 16910 f 17174 17439 17440 17175 f 17439 17704 17705 17440 f 17704 17969 17970 17705 f 17969 18234 18235 17970 f 18234 18499 18500 18235 f 18499 18764 18765 18500 f 18764 19029 19030 18765 f 19029 19294 19295 19030 f 19294 19559 19560 19295 f 19559 19824 19825 19560 f 19824 20089 20090 19825 f 20089 20354 20355 20090 f 20354 20619 20620 20355 f 20619 20884 20885 20620 f 20884 21149 21150 20885 f 21149 21414 21415 21150 f 21414 21679 21680 21415 f 21679 21944 21945 21680 f 21944 22209 22210 21945 f 22209 22474 22475 22210 f 22474 22739 22740 22475 f 22739 23004 23005 22740 f 23004 23269 23270 23005 f 23269 23534 23535 23270 f 23534 23799 23800 23535 f 23799 24064 24065 23800 f 24064 24329 24330 24065 f 24329 24594 24595 24330 f 24594 24859 24860 24595 f 24859 25124 25125 24860 f 25124 25389 25390 25125 f 25389 25654 25655 25390 f 25654 25919 25920 25655 f 25919 26184 26185 25920 f 26184 26449 26450 26185 f 26449 26714 26715 26450 f 26714 26979 26980 26715 f 26979 27244 27245 26980 f 27244 27509 27510 27245 f 27509 27774 27775 27510 f 27774 28039 28040 27775 f 28039 28304 28305 28040 f 28304 28569 28570 28305 f 28569 28834 28835 28570 f 28834 29099 29100 28835 f 29099 29364 29365 29100 f 29364 29629 29630 29365 f 29629 29894 29895 29630 f 29894 30159 30160 29895 f 30159 30424 30425 30160 f 30424 30689 30690 30425 f 30689 30954 30955 30690 f 30954 31219 31220 30955 f 31219 31484 31485 31220 f 31484 31749 31750 31485 f 31749 32014 32015 31750 f 4653 5780 5781 4654 f 5780 6045 6046 5781 f 6045 6310 6311 6046 f 6310 6575 6576 6311 f 6575 6840 6841 6576 f 6840 7105 7106 6841 f 7105 7370 7371 7106 f 7370 7635 7636 7371 f 7635 7900 7901 7636 f 7900 8165 8166 7901 f 8165 8430 8431 8166 f 8430 8695 8696 8431 f 8695 8960 8961 8696 f 8960 9225 9226 8961 f 9225 9490 9491 9226 f 9490 9755 9756 9491 f 9755 10020 10021 9756 f 10020 10285 10286 10021 f 10285 10550 10551 10286 f 10550 10815 10816 10551 f 10815 11080 11081 10816 f 11080 11345 11346 11081 f 11345 11610 11611 11346 f 11610 11875 11876 11611 f 11875 12140 12141 11876 f 12140 12405 12406 12141 f 12405 12670 12671 12406 f 12670 12935 12936 12671 f 12935 13200 13201 12936 f 13200 13465 13466 13201 f 13465 13730 13731 13466 f 13730 13995 13996 13731 f 13995 14260 14261 13996 f 14260 14525 14526 14261 f 14525 14790 14791 14526 f 14790 15055 15056 14791 f 15055 15320 15321 15056 f 15320 15585 15586 15321 f 15585 15850 15851 15586 f 15850 16115 16116 15851 f 16115 16380 16381 16116 f 16380 16645 16646 16381 f 16645 16910 16911 16646 f 16910 17175 17176 16911 f 17175 17440 17441 17176 f 17440 17705 17706 17441 f 17705 17970 17971 17706 f 17970 18235 18236 17971 f 18235 18500 18501 18236 f 18500 18765 18766 18501 f 18765 19030 19031 18766 f 19030 19295 19296 19031 f 19295 19560 19561 19296 f 19560 19825 19826 19561 f 19825 20090 20091 19826 f 20090 20355 20356 20091 f 20355 20620 20621 20356 f 20620 20885 20886 20621 f 20885 21150 21151 20886 f 21150 21415 21416 21151 f 21415 21680 21681 21416 f 21680 21945 21946 21681 f 21945 22210 22211 21946 f 22210 22475 22476 22211 f 22475 22740 22741 22476 f 22740 23005 23006 22741 f 23005 23270 23271 23006 f 23270 23535 23536 23271 f 23535 23800 23801 23536 f 23800 24065 24066 23801 f 24065 24330 24331 24066 f 24330 24595 24596 24331 f 24595 24860 24861 24596 f 24860 25125 25126 24861 f 25125 25390 25391 25126 f 25390 25655 25656 25391 f 25655 25920 25921 25656 f 25920 26185 26186 25921 f 26185 26450 26451 26186 f 26450 26715 26716 26451 f 26715 26980 26981 26716 f 26980 27245 27246 26981 f 27245 27510 27511 27246 f 27510 27775 27776 27511 f 27775 28040 28041 27776 f 28040 28305 28306 28041 f 28305 28570 28571 28306 f 28570 28835 28836 28571 f 28835 29100 29101 28836 f 29100 29365 29366 29101 f 29365 29630 29631 29366 f 29630 29895 29896 29631 f 29895 30160 30161 29896 f 30160 30425 30426 30161 f 30425 30690 30691 30426 f 30690 30955 30956 30691 f 30955 31220 31221 30956 f 31220 31485 31486 31221 f 31485 31750 31751 31486 f 31750 32015 32016 31751 f 4654 5781 5782 4655 f 5781 6046 6047 5782 f 6046 6311 6312 6047 f 6311 6576 6577 6312 f 6576 6841 6842 6577 f 6841 7106 7107 6842 f 7106 7371 7372 7107 f 7371 7636 7637 7372 f 7636 7901 7902 7637 f 7901 8166 8167 7902 f 8166 8431 8432 8167 f 8431 8696 8697 8432 f 8696 8961 8962 8697 f 8961 9226 9227 8962 f 9226 9491 9492 9227 f 9491 9756 9757 9492 f 9756 10021 10022 9757 f 10021 10286 10287 10022 f 10286 10551 10552 10287 f 10551 10816 10817 10552 f 10816 11081 11082 10817 f 11081 11346 11347 11082 f 11346 11611 11612 11347 f 11611 11876 11877 11612 f 11876 12141 12142 11877 f 12141 12406 12407 12142 f 12406 12671 12672 12407 f 12671 12936 12937 12672 f 12936 13201 13202 12937 f 13201 13466 13467 13202 f 13466 13731 13732 13467 f 13731 13996 13997 13732 f 13996 14261 14262 13997 f 14261 14526 14527 14262 f 14526 14791 14792 14527 f 14791 15056 15057 14792 f 15056 15321 15322 15057 f 15321 15586 15587 15322 f 15586 15851 15852 15587 f 15851 16116 16117 15852 f 16116 16381 16382 16117 f 16381 16646 16647 16382 f 16646 16911 16912 16647 f 16911 17176 17177 16912 f 17176 17441 17442 17177 f 17441 17706 17707 17442 f 17706 17971 17972 17707 f 17971 18236 18237 17972 f 18236 18501 18502 18237 f 18501 18766 18767 18502 f 18766 19031 19032 18767 f 19031 19296 19297 19032 f 19296 19561 19562 19297 f 19561 19826 19827 19562 f 19826 20091 20092 19827 f 20091 20356 20357 20092 f 20356 20621 20622 20357 f 20621 20886 20887 20622 f 20886 21151 21152 20887 f 21151 21416 21417 21152 f 21416 21681 21682 21417 f 21681 21946 21947 21682 f 21946 22211 22212 21947 f 22211 22476 22477 22212 f 22476 22741 22742 22477 f 22741 23006 23007 22742 f 23006 23271 23272 23007 f 23271 23536 23537 23272 f 23536 23801 23802 23537 f 23801 24066 24067 23802 f 24066 24331 24332 24067 f 24331 24596 24597 24332 f 24596 24861 24862 24597 f 24861 25126 25127 24862 f 25126 25391 25392 25127 f 25391 25656 25657 25392 f 25656 25921 25922 25657 f 25921 26186 26187 25922 f 26186 26451 26452 26187 f 26451 26716 26717 26452 f 26716 26981 26982 26717 f 26981 27246 27247 26982 f 27246 27511 27512 27247 f 27511 27776 27777 27512 f 27776 28041 28042 27777 f 28041 28306 28307 28042 f 28306 28571 28572 28307 f 28571 28836 28837 28572 f 28836 29101 29102 28837 f 29101 29366 29367 29102 f 29366 29631 29632 29367 f 29631 29896 29897 29632 f 29896 30161 30162 29897 f 30161 30426 30427 30162 f 30426 30691 30692 30427 f 30691 30956 30957 30692 f 30956 31221 31222 30957 f 31221 31486 31487 31222 f 31486 31751 31752 31487 f 31751 32016 32017 31752 f 4655 5782 5783 4656 f 5782 6047 6048 5783 f 6047 6312 6313 6048 f 6312 6577 6578 6313 f 6577 6842 6843 6578 f 6842 7107 7108 6843 f 7107 7372 7373 7108 f 7372 7637 7638 7373 f 7637 7902 7903 7638 f 7902 8167 8168 7903 f 8167 8432 8433 8168 f 8432 8697 8698 8433 f 8697 8962 8963 8698 f 8962 9227 9228 8963 f 9227 9492 9493 9228 f 9492 9757 9758 9493 f 9757 10022 10023 9758 f 10022 10287 10288 10023 f 10287 10552 10553 10288 f 10552 10817 10818 10553 f 10817 11082 11083 10818 f 11082 11347 11348 11083 f 11347 11612 11613 11348 f 11612 11877 11878 11613 f 11877 12142 12143 11878 f 12142 12407 12408 12143 f 12407 12672 12673 12408 f 12672 12937 12938 12673 f 12937 13202 13203 12938 f 13202 13467 13468 13203 f 13467 13732 13733 13468 f 13732 13997 13998 13733 f 13997 14262 14263 13998 f 14262 14527 14528 14263 f 14527 14792 14793 14528 f 14792 15057 15058 14793 f 15057 15322 15323 15058 f 15322 15587 15588 15323 f 15587 15852 15853 15588 f 15852 16117 16118 15853 f 16117 16382 16383 16118 f 16382 16647 16648 16383 f 16647 16912 16913 16648 f 16912 17177 17178 16913 f 17177 17442 17443 17178 f 17442 17707 17708 17443 f 17707 17972 17973 17708 f 17972 18237 18238 17973 f 18237 18502 18503 18238 f 18502 18767 18768 18503 f 18767 19032 19033 18768 f 19032 19297 19298 19033 f 19297 19562 19563 19298 f 19562 19827 19828 19563 f 19827 20092 20093 19828 f 20092 20357 20358 20093 f 20357 20622 20623 20358 f 20622 20887 20888 20623 f 20887 21152 21153 20888 f 21152 21417 21418 21153 f 21417 21682 21683 21418 f 21682 21947 21948 21683 f 21947 22212 22213 21948 f 22212 22477 22478 22213 f 22477 22742 22743 22478 f 22742 23007 23008 22743 f 23007 23272 23273 23008 f 23272 23537 23538 23273 f 23537 23802 23803 23538 f 23802 24067 24068 23803 f 24067 24332 24333 24068 f 24332 24597 24598 24333 f 24597 24862 24863 24598 f 24862 25127 25128 24863 f 25127 25392 25393 25128 f 25392 25657 25658 25393 f 25657 25922 25923 25658 f 25922 26187 26188 25923 f 26187 26452 26453 26188 f 26452 26717 26718 26453 f 26717 26982 26983 26718 f 26982 27247 27248 26983 f 27247 27512 27513 27248 f 27512 27777 27778 27513 f 27777 28042 28043 27778 f 28042 28307 28308 28043 f 28307 28572 28573 28308 f 28572 28837 28838 28573 f 28837 29102 29103 28838 f 29102 29367 29368 29103 f 29367 29632 29633 29368 f 29632 29897 29898 29633 f 29897 30162 30163 29898 f 30162 30427 30428 30163 f 30427 30692 30693 30428 f 30692 30957 30958 30693 f 30957 31222 31223 30958 f 31222 31487 31488 31223 f 31487 31752 31753 31488 f 31752 32017 32018 31753 f 4656 5783 5784 4657 f 5783 6048 6049 5784 f 6048 6313 6314 6049 f 6313 6578 6579 6314 f 6578 6843 6844 6579 f 6843 7108 7109 6844 f 7108 7373 7374 7109 f 7373 7638 7639 7374 f 7638 7903 7904 7639 f 7903 8168 8169 7904 f 8168 8433 8434 8169 f 8433 8698 8699 8434 f 8698 8963 8964 8699 f 8963 9228 9229 8964 f 9228 9493 9494 9229 f 9493 9758 9759 9494 f 9758 10023 10024 9759 f 10023 10288 10289 10024 f 10288 10553 10554 10289 f 10553 10818 10819 10554 f 10818 11083 11084 10819 f 11083 11348 11349 11084 f 11348 11613 11614 11349 f 11613 11878 11879 11614 f 11878 12143 12144 11879 f 12143 12408 12409 12144 f 12408 12673 12674 12409 f 12673 12938 12939 12674 f 12938 13203 13204 12939 f 13203 13468 13469 13204 f 13468 13733 13734 13469 f 13733 13998 13999 13734 f 13998 14263 14264 13999 f 14263 14528 14529 14264 f 14528 14793 14794 14529 f 14793 15058 15059 14794 f 15058 15323 15324 15059 f 15323 15588 15589 15324 f 15588 15853 15854 15589 f 15853 16118 16119 15854 f 16118 16383 16384 16119 f 16383 16648 16649 16384 f 16648 16913 16914 16649 f 16913 17178 17179 16914 f 17178 17443 17444 17179 f 17443 17708 17709 17444 f 17708 17973 17974 17709 f 17973 18238 18239 17974 f 18238 18503 18504 18239 f 18503 18768 18769 18504 f 18768 19033 19034 18769 f 19033 19298 19299 19034 f 19298 19563 19564 19299 f 19563 19828 19829 19564 f 19828 20093 20094 19829 f 20093 20358 20359 20094 f 20358 20623 20624 20359 f 20623 20888 20889 20624 f 20888 21153 21154 20889 f 21153 21418 21419 21154 f 21418 21683 21684 21419 f 21683 21948 21949 21684 f 21948 22213 22214 21949 f 22213 22478 22479 22214 f 22478 22743 22744 22479 f 22743 23008 23009 22744 f 23008 23273 23274 23009 f 23273 23538 23539 23274 f 23538 23803 23804 23539 f 23803 24068 24069 23804 f 24068 24333 24334 24069 f 24333 24598 24599 24334 f 24598 24863 24864 24599 f 24863 25128 25129 24864 f 25128 25393 25394 25129 f 25393 25658 25659 25394 f 25658 25923 25924 25659 f 25923 26188 26189 25924 f 26188 26453 26454 26189 f 26453 26718 26719 26454 f 26718 26983 26984 26719 f 26983 27248 27249 26984 f 27248 27513 27514 27249 f 27513 27778 27779 27514 f 27778 28043 28044 27779 f 28043 28308 28309 28044 f 28308 28573 28574 28309 f 28573 28838 28839 28574 f 28838 29103 29104 28839 f 29103 29368 29369 29104 f 29368 29633 29634 29369 f 29633 29898 29899 29634 f 29898 30163 30164 29899 f 30163 30428 30429 30164 f 30428 30693 30694 30429 f 30693 30958 30959 30694 f 30958 31223 31224 30959 f 31223 31488 31489 31224 f 31488 31753 31754 31489 f 31753 32018 32019 31754 f 4657 5784 5785 4658 f 5784 6049 6050 5785 f 6049 6314 6315 6050 f 6314 6579 6580 6315 f 6579 6844 6845 6580 f 6844 7109 7110 6845 f 7109 7374 7375 7110 f 7374 7639 7640 7375 f 7639 7904 7905 7640 f 7904 8169 8170 7905 f 8169 8434 8435 8170 f 8434 8699 8700 8435 f 8699 8964 8965 8700 f 8964 9229 9230 8965 f 9229 9494 9495 9230 f 9494 9759 9760 9495 f 9759 10024 10025 9760 f 10024 10289 10290 10025 f 10289 10554 10555 10290 f 10554 10819 10820 10555 f 10819 11084 11085 10820 f 11084 11349 11350 11085 f 11349 11614 11615 11350 f 11614 11879 11880 11615 f 11879 12144 12145 11880 f 12144 12409 12410 12145 f 12409 12674 12675 12410 f 12674 12939 12940 12675 f 12939 13204 13205 12940 f 13204 13469 13470 13205 f 13469 13734 13735 13470 f 13734 13999 14000 13735 f 13999 14264 14265 14000 f 14264 14529 14530 14265 f 14529 14794 14795 14530 f 14794 15059 15060 14795 f 15059 15324 15325 15060 f 15324 15589 15590 15325 f 15589 15854 15855 15590 f 15854 16119 16120 15855 f 16119 16384 16385 16120 f 16384 16649 16650 16385 f 16649 16914 16915 16650 f 16914 17179 17180 16915 f 17179 17444 17445 17180 f 17444 17709 17710 17445 f 17709 17974 17975 17710 f 17974 18239 18240 17975 f 18239 18504 18505 18240 f 18504 18769 18770 18505 f 18769 19034 19035 18770 f 19034 19299 19300 19035 f 19299 19564 19565 19300 f 19564 19829 19830 19565 f 19829 20094 20095 19830 f 20094 20359 20360 20095 f 20359 20624 20625 20360 f 20624 20889 20890 20625 f 20889 21154 21155 20890 f 21154 21419 21420 21155 f 21419 21684 21685 21420 f 21684 21949 21950 21685 f 21949 22214 22215 21950 f 22214 22479 22480 22215 f 22479 22744 22745 22480 f 22744 23009 23010 22745 f 23009 23274 23275 23010 f 23274 23539 23540 23275 f 23539 23804 23805 23540 f 23804 24069 24070 23805 f 24069 24334 24335 24070 f 24334 24599 24600 24335 f 24599 24864 24865 24600 f 24864 25129 25130 24865 f 25129 25394 25395 25130 f 25394 25659 25660 25395 f 25659 25924 25925 25660 f 25924 26189 26190 25925 f 26189 26454 26455 26190 f 26454 26719 26720 26455 f 26719 26984 26985 26720 f 26984 27249 27250 26985 f 27249 27514 27515 27250 f 27514 27779 27780 27515 f 27779 28044 28045 27780 f 28044 28309 28310 28045 f 28309 28574 28575 28310 f 28574 28839 28840 28575 f 28839 29104 29105 28840 f 29104 29369 29370 29105 f 29369 29634 29635 29370 f 29634 29899 29900 29635 f 29899 30164 30165 29900 f 30164 30429 30430 30165 f 30429 30694 30695 30430 f 30694 30959 30960 30695 f 30959 31224 31225 30960 f 31224 31489 31490 31225 f 31489 31754 31755 31490 f 31754 32019 32020 31755 f 4658 5785 5786 4659 f 5785 6050 6051 5786 f 6050 6315 6316 6051 f 6315 6580 6581 6316 f 6580 6845 6846 6581 f 6845 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11353 11618 11619 11354 f 11618 11883 11884 11619 f 11883 12148 12149 11884 f 12148 12413 12414 12149 f 12413 12678 12679 12414 f 12678 12943 12944 12679 f 12943 13208 13209 12944 f 13208 13473 13474 13209 f 13473 13738 13739 13474 f 13738 14003 14004 13739 f 14003 14268 14269 14004 f 14268 14533 14534 14269 f 14533 14798 14799 14534 f 14798 15063 15064 14799 f 15063 15328 15329 15064 f 15328 15593 15594 15329 f 15593 15858 15859 15594 f 15858 16123 16124 15859 f 16123 16388 16389 16124 f 16388 16653 16654 16389 f 16653 16918 16919 16654 f 16918 17183 17184 16919 f 17183 17448 17449 17184 f 17448 17713 17714 17449 f 17713 17978 17979 17714 f 17978 18243 18244 17979 f 18243 18508 18509 18244 f 18508 18773 18774 18509 f 18773 19038 19039 18774 f 19038 19303 19304 19039 f 19303 19568 19569 19304 f 19568 19833 19834 19569 f 19833 20098 20099 19834 f 20098 20363 20364 20099 f 20363 20628 20629 20364 f 20628 20893 20894 20629 f 20893 21158 21159 20894 f 21158 21423 21424 21159 f 21423 21688 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f 31758 32023 32024 31759 f 4662 5789 5790 4663 f 5789 6054 6055 5790 f 6054 6319 6320 6055 f 6319 6584 6585 6320 f 6584 6849 6850 6585 f 6849 7114 7115 6850 f 7114 7379 7380 7115 f 7379 7644 7645 7380 f 7644 7909 7910 7645 f 7909 8174 8175 7910 f 8174 8439 8440 8175 f 8439 8704 8705 8440 f 8704 8969 8970 8705 f 8969 9234 9235 8970 f 9234 9499 9500 9235 f 9499 9764 9765 9500 f 9764 10029 10030 9765 f 10029 10294 10295 10030 f 10294 10559 10560 10295 f 10559 10824 10825 10560 f 10824 11089 11090 10825 f 11089 11354 11355 11090 f 11354 11619 11620 11355 f 11619 11884 11885 11620 f 11884 12149 12150 11885 f 12149 12414 12415 12150 f 12414 12679 12680 12415 f 12679 12944 12945 12680 f 12944 13209 13210 12945 f 13209 13474 13475 13210 f 13474 13739 13740 13475 f 13739 14004 14005 13740 f 14004 14269 14270 14005 f 14269 14534 14535 14270 f 14534 14799 14800 14535 f 14799 15064 15065 14800 f 15064 15329 15330 15065 f 15329 15594 15595 15330 f 15594 15859 15860 15595 f 15859 16124 16125 15860 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26459 26460 26195 f 26459 26724 26725 26460 f 26724 26989 26990 26725 f 26989 27254 27255 26990 f 27254 27519 27520 27255 f 27519 27784 27785 27520 f 27784 28049 28050 27785 f 28049 28314 28315 28050 f 28314 28579 28580 28315 f 28579 28844 28845 28580 f 28844 29109 29110 28845 f 29109 29374 29375 29110 f 29374 29639 29640 29375 f 29639 29904 29905 29640 f 29904 30169 30170 29905 f 30169 30434 30435 30170 f 30434 30699 30700 30435 f 30699 30964 30965 30700 f 30964 31229 31230 30965 f 31229 31494 31495 31230 f 31494 31759 31760 31495 f 31759 32024 32025 31760 f 4663 5790 5791 4664 f 5790 6055 6056 5791 f 6055 6320 6321 6056 f 6320 6585 6586 6321 f 6585 6850 6851 6586 f 6850 7115 7116 6851 f 7115 7380 7381 7116 f 7380 7645 7646 7381 f 7645 7910 7911 7646 f 7910 8175 8176 7911 f 8175 8440 8441 8176 f 8440 8705 8706 8441 f 8705 8970 8971 8706 f 8970 9235 9236 8971 f 9235 9500 9501 9236 f 9500 9765 9766 9501 f 9765 10030 10031 9766 f 10030 10295 10296 10031 f 10295 10560 10561 10296 f 10560 10825 10826 10561 f 10825 11090 11091 10826 f 11090 11355 11356 11091 f 11355 11620 11621 11356 f 11620 11885 11886 11621 f 11885 12150 12151 11886 f 12150 12415 12416 12151 f 12415 12680 12681 12416 f 12680 12945 12946 12681 f 12945 13210 13211 12946 f 13210 13475 13476 13211 f 13475 13740 13741 13476 f 13740 14005 14006 13741 f 14005 14270 14271 14006 f 14270 14535 14536 14271 f 14535 14800 14801 14536 f 14800 15065 15066 14801 f 15065 15330 15331 15066 f 15330 15595 15596 15331 f 15595 15860 15861 15596 f 15860 16125 16126 15861 f 16125 16390 16391 16126 f 16390 16655 16656 16391 f 16655 16920 16921 16656 f 16920 17185 17186 16921 f 17185 17450 17451 17186 f 17450 17715 17716 17451 f 17715 17980 17981 17716 f 17980 18245 18246 17981 f 18245 18510 18511 18246 f 18510 18775 18776 18511 f 18775 19040 19041 18776 f 19040 19305 19306 19041 f 19305 19570 19571 19306 f 19570 19835 19836 19571 f 19835 20100 20101 19836 f 20100 20365 20366 20101 f 20365 20630 20631 20366 f 20630 20895 20896 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30965 31230 31231 30966 f 31230 31495 31496 31231 f 31495 31760 31761 31496 f 31760 32025 32026 31761 f 4664 5791 5792 4665 f 5791 6056 6057 5792 f 6056 6321 6322 6057 f 6321 6586 6587 6322 f 6586 6851 6852 6587 f 6851 7116 7117 6852 f 7116 7381 7382 7117 f 7381 7646 7647 7382 f 7646 7911 7912 7647 f 7911 8176 8177 7912 f 8176 8441 8442 8177 f 8441 8706 8707 8442 f 8706 8971 8972 8707 f 8971 9236 9237 8972 f 9236 9501 9502 9237 f 9501 9766 9767 9502 f 9766 10031 10032 9767 f 10031 10296 10297 10032 f 10296 10561 10562 10297 f 10561 10826 10827 10562 f 10826 11091 11092 10827 f 11091 11356 11357 11092 f 11356 11621 11622 11357 f 11621 11886 11887 11622 f 11886 12151 12152 11887 f 12151 12416 12417 12152 f 12416 12681 12682 12417 f 12681 12946 12947 12682 f 12946 13211 13212 12947 f 13211 13476 13477 13212 f 13476 13741 13742 13477 f 13741 14006 14007 13742 f 14006 14271 14272 14007 f 14271 14536 14537 14272 f 14536 14801 14802 14537 f 14801 15066 15067 14802 f 15066 15331 15332 15067 f 15331 15596 15597 15332 f 15596 15861 15862 15597 f 15861 16126 16127 15862 f 16126 16391 16392 16127 f 16391 16656 16657 16392 f 16656 16921 16922 16657 f 16921 17186 17187 16922 f 17186 17451 17452 17187 f 17451 17716 17717 17452 f 17716 17981 17982 17717 f 17981 18246 18247 17982 f 18246 18511 18512 18247 f 18511 18776 18777 18512 f 18776 19041 19042 18777 f 19041 19306 19307 19042 f 19306 19571 19572 19307 f 19571 19836 19837 19572 f 19836 20101 20102 19837 f 20101 20366 20367 20102 f 20366 20631 20632 20367 f 20631 20896 20897 20632 f 20896 21161 21162 20897 f 21161 21426 21427 21162 f 21426 21691 21692 21427 f 21691 21956 21957 21692 f 21956 22221 22222 21957 f 22221 22486 22487 22222 f 22486 22751 22752 22487 f 22751 23016 23017 22752 f 23016 23281 23282 23017 f 23281 23546 23547 23282 f 23546 23811 23812 23547 f 23811 24076 24077 23812 f 24076 24341 24342 24077 f 24341 24606 24607 24342 f 24606 24871 24872 24607 f 24871 25136 25137 24872 f 25136 25401 25402 25137 f 25401 25666 25667 25402 f 25666 25931 25932 25667 f 25931 26196 26197 25932 f 26196 26461 26462 26197 f 26461 26726 26727 26462 f 26726 26991 26992 26727 f 26991 27256 27257 26992 f 27256 27521 27522 27257 f 27521 27786 27787 27522 f 27786 28051 28052 27787 f 28051 28316 28317 28052 f 28316 28581 28582 28317 f 28581 28846 28847 28582 f 28846 29111 29112 28847 f 29111 29376 29377 29112 f 29376 29641 29642 29377 f 29641 29906 29907 29642 f 29906 30171 30172 29907 f 30171 30436 30437 30172 f 30436 30701 30702 30437 f 30701 30966 30967 30702 f 30966 31231 31232 30967 f 31231 31496 31497 31232 f 31496 31761 31762 31497 f 31761 32026 32027 31762 f 4665 5792 5793 4666 f 5792 6057 6058 5793 f 6057 6322 6323 6058 f 6322 6587 6588 6323 f 6587 6852 6853 6588 f 6852 7117 7118 6853 f 7117 7382 7383 7118 f 7382 7647 7648 7383 f 7647 7912 7913 7648 f 7912 8177 8178 7913 f 8177 8442 8443 8178 f 8442 8707 8708 8443 f 8707 8972 8973 8708 f 8972 9237 9238 8973 f 9237 9502 9503 9238 f 9502 9767 9768 9503 f 9767 10032 10033 9768 f 10032 10297 10298 10033 f 10297 10562 10563 10298 f 10562 10827 10828 10563 f 10827 11092 11093 10828 f 11092 11357 11358 11093 f 11357 11622 11623 11358 f 11622 11887 11888 11623 f 11887 12152 12153 11888 f 12152 12417 12418 12153 f 12417 12682 12683 12418 f 12682 12947 12948 12683 f 12947 13212 13213 12948 f 13212 13477 13478 13213 f 13477 13742 13743 13478 f 13742 14007 14008 13743 f 14007 14272 14273 14008 f 14272 14537 14538 14273 f 14537 14802 14803 14538 f 14802 15067 15068 14803 f 15067 15332 15333 15068 f 15332 15597 15598 15333 f 15597 15862 15863 15598 f 15862 16127 16128 15863 f 16127 16392 16393 16128 f 16392 16657 16658 16393 f 16657 16922 16923 16658 f 16922 17187 17188 16923 f 17187 17452 17453 17188 f 17452 17717 17718 17453 f 17717 17982 17983 17718 f 17982 18247 18248 17983 f 18247 18512 18513 18248 f 18512 18777 18778 18513 f 18777 19042 19043 18778 f 19042 19307 19308 19043 f 19307 19572 19573 19308 f 19572 19837 19838 19573 f 19837 20102 20103 19838 f 20102 20367 20368 20103 f 20367 20632 20633 20368 f 20632 20897 20898 20633 f 20897 21162 21163 20898 f 21162 21427 21428 21163 f 21427 21692 21693 21428 f 21692 21957 21958 21693 f 21957 22222 22223 21958 f 22222 22487 22488 22223 f 22487 22752 22753 22488 f 22752 23017 23018 22753 f 23017 23282 23283 23018 f 23282 23547 23548 23283 f 23547 23812 23813 23548 f 23812 24077 24078 23813 f 24077 24342 24343 24078 f 24342 24607 24608 24343 f 24607 24872 24873 24608 f 24872 25137 25138 24873 f 25137 25402 25403 25138 f 25402 25667 25668 25403 f 25667 25932 25933 25668 f 25932 26197 26198 25933 f 26197 26462 26463 26198 f 26462 26727 26728 26463 f 26727 26992 26993 26728 f 26992 27257 27258 26993 f 27257 27522 27523 27258 f 27522 27787 27788 27523 f 27787 28052 28053 27788 f 28052 28317 28318 28053 f 28317 28582 28583 28318 f 28582 28847 28848 28583 f 28847 29112 29113 28848 f 29112 29377 29378 29113 f 29377 29642 29643 29378 f 29642 29907 29908 29643 f 29907 30172 30173 29908 f 30172 30437 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f 24873 25138 25139 24874 f 25138 25403 25404 25139 f 25403 25668 25669 25404 f 25668 25933 25934 25669 f 25933 26198 26199 25934 f 26198 26463 26464 26199 f 26463 26728 26729 26464 f 26728 26993 26994 26729 f 26993 27258 27259 26994 f 27258 27523 27524 27259 f 27523 27788 27789 27524 f 27788 28053 28054 27789 f 28053 28318 28319 28054 f 28318 28583 28584 28319 f 28583 28848 28849 28584 f 28848 29113 29114 28849 f 29113 29378 29379 29114 f 29378 29643 29644 29379 f 29643 29908 29909 29644 f 29908 30173 30174 29909 f 30173 30438 30439 30174 f 30438 30703 30704 30439 f 30703 30968 30969 30704 f 30968 31233 31234 30969 f 31233 31498 31499 31234 f 31498 31763 31764 31499 f 31763 32028 32029 31764 f 4667 5794 5795 4668 f 5794 6059 6060 5795 f 6059 6324 6325 6060 f 6324 6589 6590 6325 f 6589 6854 6855 6590 f 6854 7119 7120 6855 f 7119 7384 7385 7120 f 7384 7649 7650 7385 f 7649 7914 7915 7650 f 7914 8179 8180 7915 f 8179 8444 8445 8180 f 8444 8709 8710 8445 f 8709 8974 8975 8710 f 8974 9239 9240 8975 f 9239 9504 9505 9240 f 9504 9769 9770 9505 f 9769 10034 10035 9770 f 10034 10299 10300 10035 f 10299 10564 10565 10300 f 10564 10829 10830 10565 f 10829 11094 11095 10830 f 11094 11359 11360 11095 f 11359 11624 11625 11360 f 11624 11889 11890 11625 f 11889 12154 12155 11890 f 12154 12419 12420 12155 f 12419 12684 12685 12420 f 12684 12949 12950 12685 f 12949 13214 13215 12950 f 13214 13479 13480 13215 f 13479 13744 13745 13480 f 13744 14009 14010 13745 f 14009 14274 14275 14010 f 14274 14539 14540 14275 f 14539 14804 14805 14540 f 14804 15069 15070 14805 f 15069 15334 15335 15070 f 15334 15599 15600 15335 f 15599 15864 15865 15600 f 15864 16129 16130 15865 f 16129 16394 16395 16130 f 16394 16659 16660 16395 f 16659 16924 16925 16660 f 16924 17189 17190 16925 f 17189 17454 17455 17190 f 17454 17719 17720 17455 f 17719 17984 17985 17720 f 17984 18249 18250 17985 f 18249 18514 18515 18250 f 18514 18779 18780 18515 f 18779 19044 19045 18780 f 19044 19309 19310 19045 f 19309 19574 19575 19310 f 19574 19839 19840 19575 f 19839 20104 20105 19840 f 20104 20369 20370 20105 f 20369 20634 20635 20370 f 20634 20899 20900 20635 f 20899 21164 21165 20900 f 21164 21429 21430 21165 f 21429 21694 21695 21430 f 21694 21959 21960 21695 f 21959 22224 22225 21960 f 22224 22489 22490 22225 f 22489 22754 22755 22490 f 22754 23019 23020 22755 f 23019 23284 23285 23020 f 23284 23549 23550 23285 f 23549 23814 23815 23550 f 23814 24079 24080 23815 f 24079 24344 24345 24080 f 24344 24609 24610 24345 f 24609 24874 24875 24610 f 24874 25139 25140 24875 f 25139 25404 25405 25140 f 25404 25669 25670 25405 f 25669 25934 25935 25670 f 25934 26199 26200 25935 f 26199 26464 26465 26200 f 26464 26729 26730 26465 f 26729 26994 26995 26730 f 26994 27259 27260 26995 f 27259 27524 27525 27260 f 27524 27789 27790 27525 f 27789 28054 28055 27790 f 28054 28319 28320 28055 f 28319 28584 28585 28320 f 28584 28849 28850 28585 f 28849 29114 29115 28850 f 29114 29379 29380 29115 f 29379 29644 29645 29380 f 29644 29909 29910 29645 f 29909 30174 30175 29910 f 30174 30439 30440 30175 f 30439 30704 30705 30440 f 30704 30969 30970 30705 f 30969 31234 31235 30970 f 31234 31499 31500 31235 f 31499 31764 31765 31500 f 31764 32029 32030 31765 f 4668 5795 5796 4669 f 5795 6060 6061 5796 f 6060 6325 6326 6061 f 6325 6590 6591 6326 f 6590 6855 6856 6591 f 6855 7120 7121 6856 f 7120 7385 7386 7121 f 7385 7650 7651 7386 f 7650 7915 7916 7651 f 7915 8180 8181 7916 f 8180 8445 8446 8181 f 8445 8710 8711 8446 f 8710 8975 8976 8711 f 8975 9240 9241 8976 f 9240 9505 9506 9241 f 9505 9770 9771 9506 f 9770 10035 10036 9771 f 10035 10300 10301 10036 f 10300 10565 10566 10301 f 10565 10830 10831 10566 f 10830 11095 11096 10831 f 11095 11360 11361 11096 f 11360 11625 11626 11361 f 11625 11890 11891 11626 f 11890 12155 12156 11891 f 12155 12420 12421 12156 f 12420 12685 12686 12421 f 12685 12950 12951 12686 f 12950 13215 13216 12951 f 13215 13480 13481 13216 f 13480 13745 13746 13481 f 13745 14010 14011 13746 f 14010 14275 14276 14011 f 14275 14540 14541 14276 f 14540 14805 14806 14541 f 14805 15070 15071 14806 f 15070 15335 15336 15071 f 15335 15600 15601 15336 f 15600 15865 15866 15601 f 15865 16130 16131 15866 f 16130 16395 16396 16131 f 16395 16660 16661 16396 f 16660 16925 16926 16661 f 16925 17190 17191 16926 f 17190 17455 17456 17191 f 17455 17720 17721 17456 f 17720 17985 17986 17721 f 17985 18250 18251 17986 f 18250 18515 18516 18251 f 18515 18780 18781 18516 f 18780 19045 19046 18781 f 19045 19310 19311 19046 f 19310 19575 19576 19311 f 19575 19840 19841 19576 f 19840 20105 20106 19841 f 20105 20370 20371 20106 f 20370 20635 20636 20371 f 20635 20900 20901 20636 f 20900 21165 21166 20901 f 21165 21430 21431 21166 f 21430 21695 21696 21431 f 21695 21960 21961 21696 f 21960 22225 22226 21961 f 22225 22490 22491 22226 f 22490 22755 22756 22491 f 22755 23020 23021 22756 f 23020 23285 23286 23021 f 23285 23550 23551 23286 f 23550 23815 23816 23551 f 23815 24080 24081 23816 f 24080 24345 24346 24081 f 24345 24610 24611 24346 f 24610 24875 24876 24611 f 24875 25140 25141 24876 f 25140 25405 25406 25141 f 25405 25670 25671 25406 f 25670 25935 25936 25671 f 25935 26200 26201 25936 f 26200 26465 26466 26201 f 26465 26730 26731 26466 f 26730 26995 26996 26731 f 26995 27260 27261 26996 f 27260 27525 27526 27261 f 27525 27790 27791 27526 f 27790 28055 28056 27791 f 28055 28320 28321 28056 f 28320 28585 28586 28321 f 28585 28850 28851 28586 f 28850 29115 29116 28851 f 29115 29380 29381 29116 f 29380 29645 29646 29381 f 29645 29910 29911 29646 f 29910 30175 30176 29911 f 30175 30440 30441 30176 f 30440 30705 30706 30441 f 30705 30970 30971 30706 f 30970 31235 31236 30971 f 31235 31500 31501 31236 f 31500 31765 31766 31501 f 31765 32030 32031 31766 f 4669 5796 5797 4670 f 5796 6061 6062 5797 f 6061 6326 6327 6062 f 6326 6591 6592 6327 f 6591 6856 6857 6592 f 6856 7121 7122 6857 f 7121 7386 7387 7122 f 7386 7651 7652 7387 f 7651 7916 7917 7652 f 7916 8181 8182 7917 f 8181 8446 8447 8182 f 8446 8711 8712 8447 f 8711 8976 8977 8712 f 8976 9241 9242 8977 f 9241 9506 9507 9242 f 9506 9771 9772 9507 f 9771 10036 10037 9772 f 10036 10301 10302 10037 f 10301 10566 10567 10302 f 10566 10831 10832 10567 f 10831 11096 11097 10832 f 11096 11361 11362 11097 f 11361 11626 11627 11362 f 11626 11891 11892 11627 f 11891 12156 12157 11892 f 12156 12421 12422 12157 f 12421 12686 12687 12422 f 12686 12951 12952 12687 f 12951 13216 13217 12952 f 13216 13481 13482 13217 f 13481 13746 13747 13482 f 13746 14011 14012 13747 f 14011 14276 14277 14012 f 14276 14541 14542 14277 f 14541 14806 14807 14542 f 14806 15071 15072 14807 f 15071 15336 15337 15072 f 15336 15601 15602 15337 f 15601 15866 15867 15602 f 15866 16131 16132 15867 f 16131 16396 16397 16132 f 16396 16661 16662 16397 f 16661 16926 16927 16662 f 16926 17191 17192 16927 f 17191 17456 17457 17192 f 17456 17721 17722 17457 f 17721 17986 17987 17722 f 17986 18251 18252 17987 f 18251 18516 18517 18252 f 18516 18781 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f 28851 29116 29117 28852 f 29116 29381 29382 29117 f 29381 29646 29647 29382 f 29646 29911 29912 29647 f 29911 30176 30177 29912 f 30176 30441 30442 30177 f 30441 30706 30707 30442 f 30706 30971 30972 30707 f 30971 31236 31237 30972 f 31236 31501 31502 31237 f 31501 31766 31767 31502 f 31766 32031 32032 31767 f 4670 5797 5798 4671 f 5797 6062 6063 5798 f 6062 6327 6328 6063 f 6327 6592 6593 6328 f 6592 6857 6858 6593 f 6857 7122 7123 6858 f 7122 7387 7388 7123 f 7387 7652 7653 7388 f 7652 7917 7918 7653 f 7917 8182 8183 7918 f 8182 8447 8448 8183 f 8447 8712 8713 8448 f 8712 8977 8978 8713 f 8977 9242 9243 8978 f 9242 9507 9508 9243 f 9507 9772 9773 9508 f 9772 10037 10038 9773 f 10037 10302 10303 10038 f 10302 10567 10568 10303 f 10567 10832 10833 10568 f 10832 11097 11098 10833 f 11097 11362 11363 11098 f 11362 11627 11628 11363 f 11627 11892 11893 11628 f 11892 12157 12158 11893 f 12157 12422 12423 12158 f 12422 12687 12688 12423 f 12687 12952 12953 12688 f 12952 13217 13218 12953 f 13217 13482 13483 13218 f 13482 13747 13748 13483 f 13747 14012 14013 13748 f 14012 14277 14278 14013 f 14277 14542 14543 14278 f 14542 14807 14808 14543 f 14807 15072 15073 14808 f 15072 15337 15338 15073 f 15337 15602 15603 15338 f 15602 15867 15868 15603 f 15867 16132 16133 15868 f 16132 16397 16398 16133 f 16397 16662 16663 16398 f 16662 16927 16928 16663 f 16927 17192 17193 16928 f 17192 17457 17458 17193 f 17457 17722 17723 17458 f 17722 17987 17988 17723 f 17987 18252 18253 17988 f 18252 18517 18518 18253 f 18517 18782 18783 18518 f 18782 19047 19048 18783 f 19047 19312 19313 19048 f 19312 19577 19578 19313 f 19577 19842 19843 19578 f 19842 20107 20108 19843 f 20107 20372 20373 20108 f 20372 20637 20638 20373 f 20637 20902 20903 20638 f 20902 21167 21168 20903 f 21167 21432 21433 21168 f 21432 21697 21698 21433 f 21697 21962 21963 21698 f 21962 22227 22228 21963 f 22227 22492 22493 22228 f 22492 22757 22758 22493 f 22757 23022 23023 22758 f 23022 23287 23288 23023 f 23287 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7124 f 7388 7653 7654 7389 f 7653 7918 7919 7654 f 7918 8183 8184 7919 f 8183 8448 8449 8184 f 8448 8713 8714 8449 f 8713 8978 8979 8714 f 8978 9243 9244 8979 f 9243 9508 9509 9244 f 9508 9773 9774 9509 f 9773 10038 10039 9774 f 10038 10303 10304 10039 f 10303 10568 10569 10304 f 10568 10833 10834 10569 f 10833 11098 11099 10834 f 11098 11363 11364 11099 f 11363 11628 11629 11364 f 11628 11893 11894 11629 f 11893 12158 12159 11894 f 12158 12423 12424 12159 f 12423 12688 12689 12424 f 12688 12953 12954 12689 f 12953 13218 13219 12954 f 13218 13483 13484 13219 f 13483 13748 13749 13484 f 13748 14013 14014 13749 f 14013 14278 14279 14014 f 14278 14543 14544 14279 f 14543 14808 14809 14544 f 14808 15073 15074 14809 f 15073 15338 15339 15074 f 15338 15603 15604 15339 f 15603 15868 15869 15604 f 15868 16133 16134 15869 f 16133 16398 16399 16134 f 16398 16663 16664 16399 f 16663 16928 16929 16664 f 16928 17193 17194 16929 f 17193 17458 17459 17194 f 17458 17723 17724 17459 f 17723 17988 17989 17724 f 17988 18253 18254 17989 f 18253 18518 18519 18254 f 18518 18783 18784 18519 f 18783 19048 19049 18784 f 19048 19313 19314 19049 f 19313 19578 19579 19314 f 19578 19843 19844 19579 f 19843 20108 20109 19844 f 20108 20373 20374 20109 f 20373 20638 20639 20374 f 20638 20903 20904 20639 f 20903 21168 21169 20904 f 21168 21433 21434 21169 f 21433 21698 21699 21434 f 21698 21963 21964 21699 f 21963 22228 22229 21964 f 22228 22493 22494 22229 f 22493 22758 22759 22494 f 22758 23023 23024 22759 f 23023 23288 23289 23024 f 23288 23553 23554 23289 f 23553 23818 23819 23554 f 23818 24083 24084 23819 f 24083 24348 24349 24084 f 24348 24613 24614 24349 f 24613 24878 24879 24614 f 24878 25143 25144 24879 f 25143 25408 25409 25144 f 25408 25673 25674 25409 f 25673 25938 25939 25674 f 25938 26203 26204 25939 f 26203 26468 26469 26204 f 26468 26733 26734 26469 f 26733 26998 26999 26734 f 26998 27263 27264 26999 f 27263 27528 27529 27264 f 27528 27793 27794 27529 f 27793 28058 28059 27794 f 28058 28323 28324 28059 f 28323 28588 28589 28324 f 28588 28853 28854 28589 f 28853 29118 29119 28854 f 29118 29383 29384 29119 f 29383 29648 29649 29384 f 29648 29913 29914 29649 f 29913 30178 30179 29914 f 30178 30443 30444 30179 f 30443 30708 30709 30444 f 30708 30973 30974 30709 f 30973 31238 31239 30974 f 31238 31503 31504 31239 f 31503 31768 31769 31504 f 31768 32033 32034 31769 f 4672 5799 5800 4673 f 5799 6064 6065 5800 f 6064 6329 6330 6065 f 6329 6594 6595 6330 f 6594 6859 6860 6595 f 6859 7124 7125 6860 f 7124 7389 7390 7125 f 7389 7654 7655 7390 f 7654 7919 7920 7655 f 7919 8184 8185 7920 f 8184 8449 8450 8185 f 8449 8714 8715 8450 f 8714 8979 8980 8715 f 8979 9244 9245 8980 f 9244 9509 9510 9245 f 9509 9774 9775 9510 f 9774 10039 10040 9775 f 10039 10304 10305 10040 f 10304 10569 10570 10305 f 10569 10834 10835 10570 f 10834 11099 11100 10835 f 11099 11364 11365 11100 f 11364 11629 11630 11365 f 11629 11894 11895 11630 f 11894 12159 12160 11895 f 12159 12424 12425 12160 f 12424 12689 12690 12425 f 12689 12954 12955 12690 f 12954 13219 13220 12955 f 13219 13484 13485 13220 f 13484 13749 13750 13485 f 13749 14014 14015 13750 f 14014 14279 14280 14015 f 14279 14544 14545 14280 f 14544 14809 14810 14545 f 14809 15074 15075 14810 f 15074 15339 15340 15075 f 15339 15604 15605 15340 f 15604 15869 15870 15605 f 15869 16134 16135 15870 f 16134 16399 16400 16135 f 16399 16664 16665 16400 f 16664 16929 16930 16665 f 16929 17194 17195 16930 f 17194 17459 17460 17195 f 17459 17724 17725 17460 f 17724 17989 17990 17725 f 17989 18254 18255 17990 f 18254 18519 18520 18255 f 18519 18784 18785 18520 f 18784 19049 19050 18785 f 19049 19314 19315 19050 f 19314 19579 19580 19315 f 19579 19844 19845 19580 f 19844 20109 20110 19845 f 20109 20374 20375 20110 f 20374 20639 20640 20375 f 20639 20904 20905 20640 f 20904 21169 21170 20905 f 21169 21434 21435 21170 f 21434 21699 21700 21435 f 21699 21964 21965 21700 f 21964 22229 22230 21965 f 22229 22494 22495 22230 f 22494 22759 22760 22495 f 22759 23024 23025 22760 f 23024 23289 23290 23025 f 23289 23554 23555 23290 f 23554 23819 23820 23555 f 23819 24084 24085 23820 f 24084 24349 24350 24085 f 24349 24614 24615 24350 f 24614 24879 24880 24615 f 24879 25144 25145 24880 f 25144 25409 25410 25145 f 25409 25674 25675 25410 f 25674 25939 25940 25675 f 25939 26204 26205 25940 f 26204 26469 26470 26205 f 26469 26734 26735 26470 f 26734 26999 27000 26735 f 26999 27264 27265 27000 f 27264 27529 27530 27265 f 27529 27794 27795 27530 f 27794 28059 28060 27795 f 28059 28324 28325 28060 f 28324 28589 28590 28325 f 28589 28854 28855 28590 f 28854 29119 29120 28855 f 29119 29384 29385 29120 f 29384 29649 29650 29385 f 29649 29914 29915 29650 f 29914 30179 30180 29915 f 30179 30444 30445 30180 f 30444 30709 30710 30445 f 30709 30974 30975 30710 f 30974 31239 31240 30975 f 31239 31504 31505 31240 f 31504 31769 31770 31505 f 31769 32034 32035 31770 f 4673 5800 5801 4674 f 5800 6065 6066 5801 f 6065 6330 6331 6066 f 6330 6595 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f 17195 17460 17461 17196 f 17460 17725 17726 17461 f 17725 17990 17991 17726 f 17990 18255 18256 17991 f 18255 18520 18521 18256 f 18520 18785 18786 18521 f 18785 19050 19051 18786 f 19050 19315 19316 19051 f 19315 19580 19581 19316 f 19580 19845 19846 19581 f 19845 20110 20111 19846 f 20110 20375 20376 20111 f 20375 20640 20641 20376 f 20640 20905 20906 20641 f 20905 21170 21171 20906 f 21170 21435 21436 21171 f 21435 21700 21701 21436 f 21700 21965 21966 21701 f 21965 22230 22231 21966 f 22230 22495 22496 22231 f 22495 22760 22761 22496 f 22760 23025 23026 22761 f 23025 23290 23291 23026 f 23290 23555 23556 23291 f 23555 23820 23821 23556 f 23820 24085 24086 23821 f 24085 24350 24351 24086 f 24350 24615 24616 24351 f 24615 24880 24881 24616 f 24880 25145 25146 24881 f 25145 25410 25411 25146 f 25410 25675 25676 25411 f 25675 25940 25941 25676 f 25940 26205 26206 25941 f 26205 26470 26471 26206 f 26470 26735 26736 26471 f 26735 27000 27001 26736 f 27000 27265 27266 27001 f 27265 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31509 31244 f 31508 31773 31774 31509 f 31773 32038 32039 31774 f 4677 5804 5805 4678 f 5804 6069 6070 5805 f 6069 6334 6335 6070 f 6334 6599 6600 6335 f 6599 6864 6865 6600 f 6864 7129 7130 6865 f 7129 7394 7395 7130 f 7394 7659 7660 7395 f 7659 7924 7925 7660 f 7924 8189 8190 7925 f 8189 8454 8455 8190 f 8454 8719 8720 8455 f 8719 8984 8985 8720 f 8984 9249 9250 8985 f 9249 9514 9515 9250 f 9514 9779 9780 9515 f 9779 10044 10045 9780 f 10044 10309 10310 10045 f 10309 10574 10575 10310 f 10574 10839 10840 10575 f 10839 11104 11105 10840 f 11104 11369 11370 11105 f 11369 11634 11635 11370 f 11634 11899 11900 11635 f 11899 12164 12165 11900 f 12164 12429 12430 12165 f 12429 12694 12695 12430 f 12694 12959 12960 12695 f 12959 13224 13225 12960 f 13224 13489 13490 13225 f 13489 13754 13755 13490 f 13754 14019 14020 13755 f 14019 14284 14285 14020 f 14284 14549 14550 14285 f 14549 14814 14815 14550 f 14814 15079 15080 14815 f 15079 15344 15345 15080 f 15344 15609 15610 15345 f 15609 15874 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f 25944 26209 26210 25945 f 26209 26474 26475 26210 f 26474 26739 26740 26475 f 26739 27004 27005 26740 f 27004 27269 27270 27005 f 27269 27534 27535 27270 f 27534 27799 27800 27535 f 27799 28064 28065 27800 f 28064 28329 28330 28065 f 28329 28594 28595 28330 f 28594 28859 28860 28595 f 28859 29124 29125 28860 f 29124 29389 29390 29125 f 29389 29654 29655 29390 f 29654 29919 29920 29655 f 29919 30184 30185 29920 f 30184 30449 30450 30185 f 30449 30714 30715 30450 f 30714 30979 30980 30715 f 30979 31244 31245 30980 f 31244 31509 31510 31245 f 31509 31774 31775 31510 f 31774 32039 32040 31775 f 4678 5805 5806 4679 f 5805 6070 6071 5806 f 6070 6335 6336 6071 f 6335 6600 6601 6336 f 6600 6865 6866 6601 f 6865 7130 7131 6866 f 7130 7395 7396 7131 f 7395 7660 7661 7396 f 7660 7925 7926 7661 f 7925 8190 8191 7926 f 8190 8455 8456 8191 f 8455 8720 8721 8456 f 8720 8985 8986 8721 f 8985 9250 9251 8986 f 9250 9515 9516 9251 f 9515 9780 9781 9516 f 9780 10045 10046 9781 f 10045 10310 10311 10046 f 10310 10575 10576 10311 f 10575 10840 10841 10576 f 10840 11105 11106 10841 f 11105 11370 11371 11106 f 11370 11635 11636 11371 f 11635 11900 11901 11636 f 11900 12165 12166 11901 f 12165 12430 12431 12166 f 12430 12695 12696 12431 f 12695 12960 12961 12696 f 12960 13225 13226 12961 f 13225 13490 13491 13226 f 13490 13755 13756 13491 f 13755 14020 14021 13756 f 14020 14285 14286 14021 f 14285 14550 14551 14286 f 14550 14815 14816 14551 f 14815 15080 15081 14816 f 15080 15345 15346 15081 f 15345 15610 15611 15346 f 15610 15875 15876 15611 f 15875 16140 16141 15876 f 16140 16405 16406 16141 f 16405 16670 16671 16406 f 16670 16935 16936 16671 f 16935 17200 17201 16936 f 17200 17465 17466 17201 f 17465 17730 17731 17466 f 17730 17995 17996 17731 f 17995 18260 18261 17996 f 18260 18525 18526 18261 f 18525 18790 18791 18526 f 18790 19055 19056 18791 f 19055 19320 19321 19056 f 19320 19585 19586 19321 f 19585 19850 19851 19586 f 19850 20115 20116 19851 f 20115 20380 20381 20116 f 20380 20645 20646 20381 f 20645 20910 20911 20646 f 20910 21175 21176 20911 f 21175 21440 21441 21176 f 21440 21705 21706 21441 f 21705 21970 21971 21706 f 21970 22235 22236 21971 f 22235 22500 22501 22236 f 22500 22765 22766 22501 f 22765 23030 23031 22766 f 23030 23295 23296 23031 f 23295 23560 23561 23296 f 23560 23825 23826 23561 f 23825 24090 24091 23826 f 24090 24355 24356 24091 f 24355 24620 24621 24356 f 24620 24885 24886 24621 f 24885 25150 25151 24886 f 25150 25415 25416 25151 f 25415 25680 25681 25416 f 25680 25945 25946 25681 f 25945 26210 26211 25946 f 26210 26475 26476 26211 f 26475 26740 26741 26476 f 26740 27005 27006 26741 f 27005 27270 27271 27006 f 27270 27535 27536 27271 f 27535 27800 27801 27536 f 27800 28065 28066 27801 f 28065 28330 28331 28066 f 28330 28595 28596 28331 f 28595 28860 28861 28596 f 28860 29125 29126 28861 f 29125 29390 29391 29126 f 29390 29655 29656 29391 f 29655 29920 29921 29656 f 29920 30185 30186 29921 f 30185 30450 30451 30186 f 30450 30715 30716 30451 f 30715 30980 30981 30716 f 30980 31245 31246 30981 f 31245 31510 31511 31246 f 31510 31775 31776 31511 f 31775 32040 32041 31776 f 4679 5806 5807 4680 f 5806 6071 6072 5807 f 6071 6336 6337 6072 f 6336 6601 6602 6337 f 6601 6866 6867 6602 f 6866 7131 7132 6867 f 7131 7396 7397 7132 f 7396 7661 7662 7397 f 7661 7926 7927 7662 f 7926 8191 8192 7927 f 8191 8456 8457 8192 f 8456 8721 8722 8457 f 8721 8986 8987 8722 f 8986 9251 9252 8987 f 9251 9516 9517 9252 f 9516 9781 9782 9517 f 9781 10046 10047 9782 f 10046 10311 10312 10047 f 10311 10576 10577 10312 f 10576 10841 10842 10577 f 10841 11106 11107 10842 f 11106 11371 11372 11107 f 11371 11636 11637 11372 f 11636 11901 11902 11637 f 11901 12166 12167 11902 f 12166 12431 12432 12167 f 12431 12696 12697 12432 f 12696 12961 12962 12697 f 12961 13226 13227 12962 f 13226 13491 13492 13227 f 13491 13756 13757 13492 f 13756 14021 14022 13757 f 14021 14286 14287 14022 f 14286 14551 14552 14287 f 14551 14816 14817 14552 f 14816 15081 15082 14817 f 15081 15346 15347 15082 f 15346 15611 15612 15347 f 15611 15876 15877 15612 f 15876 16141 16142 15877 f 16141 16406 16407 16142 f 16406 16671 16672 16407 f 16671 16936 16937 16672 f 16936 17201 17202 16937 f 17201 17466 17467 17202 f 17466 17731 17732 17467 f 17731 17996 17997 17732 f 17996 18261 18262 17997 f 18261 18526 18527 18262 f 18526 18791 18792 18527 f 18791 19056 19057 18792 f 19056 19321 19322 19057 f 19321 19586 19587 19322 f 19586 19851 19852 19587 f 19851 20116 20117 19852 f 20116 20381 20382 20117 f 20381 20646 20647 20382 f 20646 20911 20912 20647 f 20911 21176 21177 20912 f 21176 21441 21442 21177 f 21441 21706 21707 21442 f 21706 21971 21972 21707 f 21971 22236 22237 21972 f 22236 22501 22502 22237 f 22501 22766 22767 22502 f 22766 23031 23032 22767 f 23031 23296 23297 23032 f 23296 23561 23562 23297 f 23561 23826 23827 23562 f 23826 24091 24092 23827 f 24091 24356 24357 24092 f 24356 24621 24622 24357 f 24621 24886 24887 24622 f 24886 25151 25152 24887 f 25151 25416 25417 25152 f 25416 25681 25682 25417 f 25681 25946 25947 25682 f 25946 26211 26212 25947 f 26211 26476 26477 26212 f 26476 26741 26742 26477 f 26741 27006 27007 26742 f 27006 27271 27272 27007 f 27271 27536 27537 27272 f 27536 27801 27802 27537 f 27801 28066 28067 27802 f 28066 28331 28332 28067 f 28331 28596 28597 28332 f 28596 28861 28862 28597 f 28861 29126 29127 28862 f 29126 29391 29392 29127 f 29391 29656 29657 29392 f 29656 29921 29922 29657 f 29921 30186 30187 29922 f 30186 30451 30452 30187 f 30451 30716 30717 30452 f 30716 30981 30982 30717 f 30981 31246 31247 30982 f 31246 31511 31512 31247 f 31511 31776 31777 31512 f 31776 32041 32042 31777 f 4680 5807 5808 4681 f 5807 6072 6073 5808 f 6072 6337 6338 6073 f 6337 6602 6603 6338 f 6602 6867 6868 6603 f 6867 7132 7133 6868 f 7132 7397 7398 7133 f 7397 7662 7663 7398 f 7662 7927 7928 7663 f 7927 8192 8193 7928 f 8192 8457 8458 8193 f 8457 8722 8723 8458 f 8722 8987 8988 8723 f 8987 9252 9253 8988 f 9252 9517 9518 9253 f 9517 9782 9783 9518 f 9782 10047 10048 9783 f 10047 10312 10313 10048 f 10312 10577 10578 10313 f 10577 10842 10843 10578 f 10842 11107 11108 10843 f 11107 11372 11373 11108 f 11372 11637 11638 11373 f 11637 11902 11903 11638 f 11902 12167 12168 11903 f 12167 12432 12433 12168 f 12432 12697 12698 12433 f 12697 12962 12963 12698 f 12962 13227 13228 12963 f 13227 13492 13493 13228 f 13492 13757 13758 13493 f 13757 14022 14023 13758 f 14022 14287 14288 14023 f 14287 14552 14553 14288 f 14552 14817 14818 14553 f 14817 15082 15083 14818 f 15082 15347 15348 15083 f 15347 15612 15613 15348 f 15612 15877 15878 15613 f 15877 16142 16143 15878 f 16142 16407 16408 16143 f 16407 16672 16673 16408 f 16672 16937 16938 16673 f 16937 17202 17203 16938 f 17202 17467 17468 17203 f 17467 17732 17733 17468 f 17732 17997 17998 17733 f 17997 18262 18263 17998 f 18262 18527 18528 18263 f 18527 18792 18793 18528 f 18792 19057 19058 18793 f 19057 19322 19323 19058 f 19322 19587 19588 19323 f 19587 19852 19853 19588 f 19852 20117 20118 19853 f 20117 20382 20383 20118 f 20382 20647 20648 20383 f 20647 20912 20913 20648 f 20912 21177 21178 20913 f 21177 21442 21443 21178 f 21442 21707 21708 21443 f 21707 21972 21973 21708 f 21972 22237 22238 21973 f 22237 22502 22503 22238 f 22502 22767 22768 22503 f 22767 23032 23033 22768 f 23032 23297 23298 23033 f 23297 23562 23563 23298 f 23562 23827 23828 23563 f 23827 24092 24093 23828 f 24092 24357 24358 24093 f 24357 24622 24623 24358 f 24622 24887 24888 24623 f 24887 25152 25153 24888 f 25152 25417 25418 25153 f 25417 25682 25683 25418 f 25682 25947 25948 25683 f 25947 26212 26213 25948 f 26212 26477 26478 26213 f 26477 26742 26743 26478 f 26742 27007 27008 26743 f 27007 27272 27273 27008 f 27272 27537 27538 27273 f 27537 27802 27803 27538 f 27802 28067 28068 27803 f 28067 28332 28333 28068 f 28332 28597 28598 28333 f 28597 28862 28863 28598 f 28862 29127 29128 28863 f 29127 29392 29393 29128 f 29392 29657 29658 29393 f 29657 29922 29923 29658 f 29922 30187 30188 29923 f 30187 30452 30453 30188 f 30452 30717 30718 30453 f 30717 30982 30983 30718 f 30982 31247 31248 30983 f 31247 31512 31513 31248 f 31512 31777 31778 31513 f 31777 32042 32043 31778 f 4681 5808 5809 4682 f 5808 6073 6074 5809 f 6073 6338 6339 6074 f 6338 6603 6604 6339 f 6603 6868 6869 6604 f 6868 7133 7134 6869 f 7133 7398 7399 7134 f 7398 7663 7664 7399 f 7663 7928 7929 7664 f 7928 8193 8194 7929 f 8193 8458 8459 8194 f 8458 8723 8724 8459 f 8723 8988 8989 8724 f 8988 9253 9254 8989 f 9253 9518 9519 9254 f 9518 9783 9784 9519 f 9783 10048 10049 9784 f 10048 10313 10314 10049 f 10313 10578 10579 10314 f 10578 10843 10844 10579 f 10843 11108 11109 10844 f 11108 11373 11374 11109 f 11373 11638 11639 11374 f 11638 11903 11904 11639 f 11903 12168 12169 11904 f 12168 12433 12434 12169 f 12433 12698 12699 12434 f 12698 12963 12964 12699 f 12963 13228 13229 12964 f 13228 13493 13494 13229 f 13493 13758 13759 13494 f 13758 14023 14024 13759 f 14023 14288 14289 14024 f 14288 14553 14554 14289 f 14553 14818 14819 14554 f 14818 15083 15084 14819 f 15083 15348 15349 15084 f 15348 15613 15614 15349 f 15613 15878 15879 15614 f 15878 16143 16144 15879 f 16143 16408 16409 16144 f 16408 16673 16674 16409 f 16673 16938 16939 16674 f 16938 17203 17204 16939 f 17203 17468 17469 17204 f 17468 17733 17734 17469 f 17733 17998 17999 17734 f 17998 18263 18264 17999 f 18263 18528 18529 18264 f 18528 18793 18794 18529 f 18793 19058 19059 18794 f 19058 19323 19324 19059 f 19323 19588 19589 19324 f 19588 19853 19854 19589 f 19853 20118 20119 19854 f 20118 20383 20384 20119 f 20383 20648 20649 20384 f 20648 20913 20914 20649 f 20913 21178 21179 20914 f 21178 21443 21444 21179 f 21443 21708 21709 21444 f 21708 21973 21974 21709 f 21973 22238 22239 21974 f 22238 22503 22504 22239 f 22503 22768 22769 22504 f 22768 23033 23034 22769 f 23033 23298 23299 23034 f 23298 23563 23564 23299 f 23563 23828 23829 23564 f 23828 24093 24094 23829 f 24093 24358 24359 24094 f 24358 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f 23037 23302 23303 23038 f 23302 23567 23568 23303 f 23567 23832 23833 23568 f 23832 24097 24098 23833 f 24097 24362 24363 24098 f 24362 24627 24628 24363 f 24627 24892 24893 24628 f 24892 25157 25158 24893 f 25157 25422 25423 25158 f 25422 25687 25688 25423 f 25687 25952 25953 25688 f 25952 26217 26218 25953 f 26217 26482 26483 26218 f 26482 26747 26748 26483 f 26747 27012 27013 26748 f 27012 27277 27278 27013 f 27277 27542 27543 27278 f 27542 27807 27808 27543 f 27807 28072 28073 27808 f 28072 28337 28338 28073 f 28337 28602 28603 28338 f 28602 28867 28868 28603 f 28867 29132 29133 28868 f 29132 29397 29398 29133 f 29397 29662 29663 29398 f 29662 29927 29928 29663 f 29927 30192 30193 29928 f 30192 30457 30458 30193 f 30457 30722 30723 30458 f 30722 30987 30988 30723 f 30987 31252 31253 30988 f 31252 31517 31518 31253 f 31517 31782 31783 31518 f 31782 32047 32048 31783 f 4686 5813 5814 4687 f 5813 6078 6079 5814 f 6078 6343 6344 6079 f 6343 6608 6609 6344 f 6608 6873 6874 6609 f 6873 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f 27808 28073 28074 27809 f 28073 28338 28339 28074 f 28338 28603 28604 28339 f 28603 28868 28869 28604 f 28868 29133 29134 28869 f 29133 29398 29399 29134 f 29398 29663 29664 29399 f 29663 29928 29929 29664 f 29928 30193 30194 29929 f 30193 30458 30459 30194 f 30458 30723 30724 30459 f 30723 30988 30989 30724 f 30988 31253 31254 30989 f 31253 31518 31519 31254 f 31518 31783 31784 31519 f 31783 32048 32049 31784 f 4687 5814 5815 4688 f 5814 6079 6080 5815 f 6079 6344 6345 6080 f 6344 6609 6610 6345 f 6609 6874 6875 6610 f 6874 7139 7140 6875 f 7139 7404 7405 7140 f 7404 7669 7670 7405 f 7669 7934 7935 7670 f 7934 8199 8200 7935 f 8199 8464 8465 8200 f 8464 8729 8730 8465 f 8729 8994 8995 8730 f 8994 9259 9260 8995 f 9259 9524 9525 9260 f 9524 9789 9790 9525 f 9789 10054 10055 9790 f 10054 10319 10320 10055 f 10319 10584 10585 10320 f 10584 10849 10850 10585 f 10849 11114 11115 10850 f 11114 11379 11380 11115 f 11379 11644 11645 11380 f 11644 11909 11910 11645 f 11909 12174 12175 11910 f 12174 12439 12440 12175 f 12439 12704 12705 12440 f 12704 12969 12970 12705 f 12969 13234 13235 12970 f 13234 13499 13500 13235 f 13499 13764 13765 13500 f 13764 14029 14030 13765 f 14029 14294 14295 14030 f 14294 14559 14560 14295 f 14559 14824 14825 14560 f 14824 15089 15090 14825 f 15089 15354 15355 15090 f 15354 15619 15620 15355 f 15619 15884 15885 15620 f 15884 16149 16150 15885 f 16149 16414 16415 16150 f 16414 16679 16680 16415 f 16679 16944 16945 16680 f 16944 17209 17210 16945 f 17209 17474 17475 17210 f 17474 17739 17740 17475 f 17739 18004 18005 17740 f 18004 18269 18270 18005 f 18269 18534 18535 18270 f 18534 18799 18800 18535 f 18799 19064 19065 18800 f 19064 19329 19330 19065 f 19329 19594 19595 19330 f 19594 19859 19860 19595 f 19859 20124 20125 19860 f 20124 20389 20390 20125 f 20389 20654 20655 20390 f 20654 20919 20920 20655 f 20919 21184 21185 20920 f 21184 21449 21450 21185 f 21449 21714 21715 21450 f 21714 21979 21980 21715 f 21979 22244 22245 21980 f 22244 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6080 6345 6346 6081 f 6345 6610 6611 6346 f 6610 6875 6876 6611 f 6875 7140 7141 6876 f 7140 7405 7406 7141 f 7405 7670 7671 7406 f 7670 7935 7936 7671 f 7935 8200 8201 7936 f 8200 8465 8466 8201 f 8465 8730 8731 8466 f 8730 8995 8996 8731 f 8995 9260 9261 8996 f 9260 9525 9526 9261 f 9525 9790 9791 9526 f 9790 10055 10056 9791 f 10055 10320 10321 10056 f 10320 10585 10586 10321 f 10585 10850 10851 10586 f 10850 11115 11116 10851 f 11115 11380 11381 11116 f 11380 11645 11646 11381 f 11645 11910 11911 11646 f 11910 12175 12176 11911 f 12175 12440 12441 12176 f 12440 12705 12706 12441 f 12705 12970 12971 12706 f 12970 13235 13236 12971 f 13235 13500 13501 13236 f 13500 13765 13766 13501 f 13765 14030 14031 13766 f 14030 14295 14296 14031 f 14295 14560 14561 14296 f 14560 14825 14826 14561 f 14825 15090 15091 14826 f 15090 15355 15356 15091 f 15355 15620 15621 15356 f 15620 15885 15886 15621 f 15885 16150 16151 15886 f 16150 16415 16416 16151 f 16415 16680 16681 16416 f 16680 16945 16946 16681 f 16945 17210 17211 16946 f 17210 17475 17476 17211 f 17475 17740 17741 17476 f 17740 18005 18006 17741 f 18005 18270 18271 18006 f 18270 18535 18536 18271 f 18535 18800 18801 18536 f 18800 19065 19066 18801 f 19065 19330 19331 19066 f 19330 19595 19596 19331 f 19595 19860 19861 19596 f 19860 20125 20126 19861 f 20125 20390 20391 20126 f 20390 20655 20656 20391 f 20655 20920 20921 20656 f 20920 21185 21186 20921 f 21185 21450 21451 21186 f 21450 21715 21716 21451 f 21715 21980 21981 21716 f 21980 22245 22246 21981 f 22245 22510 22511 22246 f 22510 22775 22776 22511 f 22775 23040 23041 22776 f 23040 23305 23306 23041 f 23305 23570 23571 23306 f 23570 23835 23836 23571 f 23835 24100 24101 23836 f 24100 24365 24366 24101 f 24365 24630 24631 24366 f 24630 24895 24896 24631 f 24895 25160 25161 24896 f 25160 25425 25426 25161 f 25425 25690 25691 25426 f 25690 25955 25956 25691 f 25955 26220 26221 25956 f 26220 26485 26486 26221 f 26485 26750 26751 26486 f 26750 27015 27016 26751 f 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f 24901 25166 25167 24902 f 25166 25431 25432 25167 f 25431 25696 25697 25432 f 25696 25961 25962 25697 f 25961 26226 26227 25962 f 26226 26491 26492 26227 f 26491 26756 26757 26492 f 26756 27021 27022 26757 f 27021 27286 27287 27022 f 27286 27551 27552 27287 f 27551 27816 27817 27552 f 27816 28081 28082 27817 f 28081 28346 28347 28082 f 28346 28611 28612 28347 f 28611 28876 28877 28612 f 28876 29141 29142 28877 f 29141 29406 29407 29142 f 29406 29671 29672 29407 f 29671 29936 29937 29672 f 29936 30201 30202 29937 f 30201 30466 30467 30202 f 30466 30731 30732 30467 f 30731 30996 30997 30732 f 30996 31261 31262 30997 f 31261 31526 31527 31262 f 31526 31791 31792 31527 f 31791 32056 32057 31792 f 4695 5822 5823 4696 f 5822 6087 6088 5823 f 6087 6352 6353 6088 f 6352 6617 6618 6353 f 6617 6882 6883 6618 f 6882 7147 7148 6883 f 7147 7412 7413 7148 f 7412 7677 7678 7413 f 7677 7942 7943 7678 f 7942 8207 8208 7943 f 8207 8472 8473 8208 f 8472 8737 8738 8473 f 8737 9002 9003 8738 f 9002 9267 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19602 19603 19338 f 19602 19867 19868 19603 f 19867 20132 20133 19868 f 20132 20397 20398 20133 f 20397 20662 20663 20398 f 20662 20927 20928 20663 f 20927 21192 21193 20928 f 21192 21457 21458 21193 f 21457 21722 21723 21458 f 21722 21987 21988 21723 f 21987 22252 22253 21988 f 22252 22517 22518 22253 f 22517 22782 22783 22518 f 22782 23047 23048 22783 f 23047 23312 23313 23048 f 23312 23577 23578 23313 f 23577 23842 23843 23578 f 23842 24107 24108 23843 f 24107 24372 24373 24108 f 24372 24637 24638 24373 f 24637 24902 24903 24638 f 24902 25167 25168 24903 f 25167 25432 25433 25168 f 25432 25697 25698 25433 f 25697 25962 25963 25698 f 25962 26227 26228 25963 f 26227 26492 26493 26228 f 26492 26757 26758 26493 f 26757 27022 27023 26758 f 27022 27287 27288 27023 f 27287 27552 27553 27288 f 27552 27817 27818 27553 f 27817 28082 28083 27818 f 28082 28347 28348 28083 f 28347 28612 28613 28348 f 28612 28877 28878 28613 f 28877 29142 29143 28878 f 29142 29407 29408 29143 f 29407 29672 29673 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13774 f 14038 14303 14304 14039 f 14303 14568 14569 14304 f 14568 14833 14834 14569 f 14833 15098 15099 14834 f 15098 15363 15364 15099 f 15363 15628 15629 15364 f 15628 15893 15894 15629 f 15893 16158 16159 15894 f 16158 16423 16424 16159 f 16423 16688 16689 16424 f 16688 16953 16954 16689 f 16953 17218 17219 16954 f 17218 17483 17484 17219 f 17483 17748 17749 17484 f 17748 18013 18014 17749 f 18013 18278 18279 18014 f 18278 18543 18544 18279 f 18543 18808 18809 18544 f 18808 19073 19074 18809 f 19073 19338 19339 19074 f 19338 19603 19604 19339 f 19603 19868 19869 19604 f 19868 20133 20134 19869 f 20133 20398 20399 20134 f 20398 20663 20664 20399 f 20663 20928 20929 20664 f 20928 21193 21194 20929 f 21193 21458 21459 21194 f 21458 21723 21724 21459 f 21723 21988 21989 21724 f 21988 22253 22254 21989 f 22253 22518 22519 22254 f 22518 22783 22784 22519 f 22783 23048 23049 22784 f 23048 23313 23314 23049 f 23313 23578 23579 23314 f 23578 23843 23844 23579 f 23843 24108 24109 23844 f 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21201 21466 21467 21202 f 21466 21731 21732 21467 f 21731 21996 21997 21732 f 21996 22261 22262 21997 f 22261 22526 22527 22262 f 22526 22791 22792 22527 f 22791 23056 23057 22792 f 23056 23321 23322 23057 f 23321 23586 23587 23322 f 23586 23851 23852 23587 f 23851 24116 24117 23852 f 24116 24381 24382 24117 f 24381 24646 24647 24382 f 24646 24911 24912 24647 f 24911 25176 25177 24912 f 25176 25441 25442 25177 f 25441 25706 25707 25442 f 25706 25971 25972 25707 f 25971 26236 26237 25972 f 26236 26501 26502 26237 f 26501 26766 26767 26502 f 26766 27031 27032 26767 f 27031 27296 27297 27032 f 27296 27561 27562 27297 f 27561 27826 27827 27562 f 27826 28091 28092 27827 f 28091 28356 28357 28092 f 28356 28621 28622 28357 f 28621 28886 28887 28622 f 28886 29151 29152 28887 f 29151 29416 29417 29152 f 29416 29681 29682 29417 f 29681 29946 29947 29682 f 29946 30211 30212 29947 f 30211 30476 30477 30212 f 30476 30741 30742 30477 f 30741 31006 31007 30742 f 31006 31271 31272 31007 f 31271 31536 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15903 15638 f 15902 16167 16168 15903 f 16167 16432 16433 16168 f 16432 16697 16698 16433 f 16697 16962 16963 16698 f 16962 17227 17228 16963 f 17227 17492 17493 17228 f 17492 17757 17758 17493 f 17757 18022 18023 17758 f 18022 18287 18288 18023 f 18287 18552 18553 18288 f 18552 18817 18818 18553 f 18817 19082 19083 18818 f 19082 19347 19348 19083 f 19347 19612 19613 19348 f 19612 19877 19878 19613 f 19877 20142 20143 19878 f 20142 20407 20408 20143 f 20407 20672 20673 20408 f 20672 20937 20938 20673 f 20937 21202 21203 20938 f 21202 21467 21468 21203 f 21467 21732 21733 21468 f 21732 21997 21998 21733 f 21997 22262 22263 21998 f 22262 22527 22528 22263 f 22527 22792 22793 22528 f 22792 23057 23058 22793 f 23057 23322 23323 23058 f 23322 23587 23588 23323 f 23587 23852 23853 23588 f 23852 24117 24118 23853 f 24117 24382 24383 24118 f 24382 24647 24648 24383 f 24647 24912 24913 24648 f 24912 25177 25178 24913 f 25177 25442 25443 25178 f 25442 25707 25708 25443 f 25707 25972 25973 25708 f 25972 26237 26238 25973 f 26237 26502 26503 26238 f 26502 26767 26768 26503 f 26767 27032 27033 26768 f 27032 27297 27298 27033 f 27297 27562 27563 27298 f 27562 27827 27828 27563 f 27827 28092 28093 27828 f 28092 28357 28358 28093 f 28357 28622 28623 28358 f 28622 28887 28888 28623 f 28887 29152 29153 28888 f 29152 29417 29418 29153 f 29417 29682 29683 29418 f 29682 29947 29948 29683 f 29947 30212 30213 29948 f 30212 30477 30478 30213 f 30477 30742 30743 30478 f 30742 31007 31008 30743 f 31007 31272 31273 31008 f 31272 31537 31538 31273 f 31537 31802 31803 31538 f 31802 32067 32068 31803 f 4706 5833 5834 4707 f 5833 6098 6099 5834 f 6098 6363 6364 6099 f 6363 6628 6629 6364 f 6628 6893 6894 6629 f 6893 7158 7159 6894 f 7158 7423 7424 7159 f 7423 7688 7689 7424 f 7688 7953 7954 7689 f 7953 8218 8219 7954 f 8218 8483 8484 8219 f 8483 8748 8749 8484 f 8748 9013 9014 8749 f 9013 9278 9279 9014 f 9278 9543 9544 9279 f 9543 9808 9809 9544 f 9808 10073 10074 9809 f 10073 10338 10339 10074 f 10338 10603 10604 10339 f 10603 10868 10869 10604 f 10868 11133 11134 10869 f 11133 11398 11399 11134 f 11398 11663 11664 11399 f 11663 11928 11929 11664 f 11928 12193 12194 11929 f 12193 12458 12459 12194 f 12458 12723 12724 12459 f 12723 12988 12989 12724 f 12988 13253 13254 12989 f 13253 13518 13519 13254 f 13518 13783 13784 13519 f 13783 14048 14049 13784 f 14048 14313 14314 14049 f 14313 14578 14579 14314 f 14578 14843 14844 14579 f 14843 15108 15109 14844 f 15108 15373 15374 15109 f 15373 15638 15639 15374 f 15638 15903 15904 15639 f 15903 16168 16169 15904 f 16168 16433 16434 16169 f 16433 16698 16699 16434 f 16698 16963 16964 16699 f 16963 17228 17229 16964 f 17228 17493 17494 17229 f 17493 17758 17759 17494 f 17758 18023 18024 17759 f 18023 18288 18289 18024 f 18288 18553 18554 18289 f 18553 18818 18819 18554 f 18818 19083 19084 18819 f 19083 19348 19349 19084 f 19348 19613 19614 19349 f 19613 19878 19879 19614 f 19878 20143 20144 19879 f 20143 20408 20409 20144 f 20408 20673 20674 20409 f 20673 20938 20939 20674 f 20938 21203 21204 20939 f 21203 21468 21469 21204 f 21468 21733 21734 21469 f 21733 21998 21999 21734 f 21998 22263 22264 21999 f 22263 22528 22529 22264 f 22528 22793 22794 22529 f 22793 23058 23059 22794 f 23058 23323 23324 23059 f 23323 23588 23589 23324 f 23588 23853 23854 23589 f 23853 24118 24119 23854 f 24118 24383 24384 24119 f 24383 24648 24649 24384 f 24648 24913 24914 24649 f 24913 25178 25179 24914 f 25178 25443 25444 25179 f 25443 25708 25709 25444 f 25708 25973 25974 25709 f 25973 26238 26239 25974 f 26238 26503 26504 26239 f 26503 26768 26769 26504 f 26768 27033 27034 26769 f 27033 27298 27299 27034 f 27298 27563 27564 27299 f 27563 27828 27829 27564 f 27828 28093 28094 27829 f 28093 28358 28359 28094 f 28358 28623 28624 28359 f 28623 28888 28889 28624 f 28888 29153 29154 28889 f 29153 29418 29419 29154 f 29418 29683 29684 29419 f 29683 29948 29949 29684 f 29948 30213 30214 29949 f 30213 30478 30479 30214 f 30478 30743 30744 30479 f 30743 31008 31009 30744 f 31008 31273 31274 31009 f 31273 31538 31539 31274 f 31538 31803 31804 31539 f 31803 32068 32069 31804 f 4707 5834 5835 4708 f 5834 6099 6100 5835 f 6099 6364 6365 6100 f 6364 6629 6630 6365 f 6629 6894 6895 6630 f 6894 7159 7160 6895 f 7159 7424 7425 7160 f 7424 7689 7690 7425 f 7689 7954 7955 7690 f 7954 8219 8220 7955 f 8219 8484 8485 8220 f 8484 8749 8750 8485 f 8749 9014 9015 8750 f 9014 9279 9280 9015 f 9279 9544 9545 9280 f 9544 9809 9810 9545 f 9809 10074 10075 9810 f 10074 10339 10340 10075 f 10339 10604 10605 10340 f 10604 10869 10870 10605 f 10869 11134 11135 10870 f 11134 11399 11400 11135 f 11399 11664 11665 11400 f 11664 11929 11930 11665 f 11929 12194 12195 11930 f 12194 12459 12460 12195 f 12459 12724 12725 12460 f 12724 12989 12990 12725 f 12989 13254 13255 12990 f 13254 13519 13520 13255 f 13519 13784 13785 13520 f 13784 14049 14050 13785 f 14049 14314 14315 14050 f 14314 14579 14580 14315 f 14579 14844 14845 14580 f 14844 15109 15110 14845 f 15109 15374 15375 15110 f 15374 15639 15640 15375 f 15639 15904 15905 15640 f 15904 16169 16170 15905 f 16169 16434 16435 16170 f 16434 16699 16700 16435 f 16699 16964 16965 16700 f 16964 17229 17230 16965 f 17229 17494 17495 17230 f 17494 17759 17760 17495 f 17759 18024 18025 17760 f 18024 18289 18290 18025 f 18289 18554 18555 18290 f 18554 18819 18820 18555 f 18819 19084 19085 18820 f 19084 19349 19350 19085 f 19349 19614 19615 19350 f 19614 19879 19880 19615 f 19879 20144 20145 19880 f 20144 20409 20410 20145 f 20409 20674 20675 20410 f 20674 20939 20940 20675 f 20939 21204 21205 20940 f 21204 21469 21470 21205 f 21469 21734 21735 21470 f 21734 21999 22000 21735 f 21999 22264 22265 22000 f 22264 22529 22530 22265 f 22529 22794 22795 22530 f 22794 23059 23060 22795 f 23059 23324 23325 23060 f 23324 23589 23590 23325 f 23589 23854 23855 23590 f 23854 24119 24120 23855 f 24119 24384 24385 24120 f 24384 24649 24650 24385 f 24649 24914 24915 24650 f 24914 25179 25180 24915 f 25179 25444 25445 25180 f 25444 25709 25710 25445 f 25709 25974 25975 25710 f 25974 26239 26240 25975 f 26239 26504 26505 26240 f 26504 26769 26770 26505 f 26769 27034 27035 26770 f 27034 27299 27300 27035 f 27299 27564 27565 27300 f 27564 27829 27830 27565 f 27829 28094 28095 27830 f 28094 28359 28360 28095 f 28359 28624 28625 28360 f 28624 28889 28890 28625 f 28889 29154 29155 28890 f 29154 29419 29420 29155 f 29419 29684 29685 29420 f 29684 29949 29950 29685 f 29949 30214 30215 29950 f 30214 30479 30480 30215 f 30479 30744 30745 30480 f 30744 31009 31010 30745 f 31009 31274 31275 31010 f 31274 31539 31540 31275 f 31539 31804 31805 31540 f 31804 32069 32070 31805 f 4708 5835 5836 4709 f 5835 6100 6101 5836 f 6100 6365 6366 6101 f 6365 6630 6631 6366 f 6630 6895 6896 6631 f 6895 7160 7161 6896 f 7160 7425 7426 7161 f 7425 7690 7691 7426 f 7690 7955 7956 7691 f 7955 8220 8221 7956 f 8220 8485 8486 8221 f 8485 8750 8751 8486 f 8750 9015 9016 8751 f 9015 9280 9281 9016 f 9280 9545 9546 9281 f 9545 9810 9811 9546 f 9810 10075 10076 9811 f 10075 10340 10341 10076 f 10340 10605 10606 10341 f 10605 10870 10871 10606 f 10870 11135 11136 10871 f 11135 11400 11401 11136 f 11400 11665 11666 11401 f 11665 11930 11931 11666 f 11930 12195 12196 11931 f 12195 12460 12461 12196 f 12460 12725 12726 12461 f 12725 12990 12991 12726 f 12990 13255 13256 12991 f 13255 13520 13521 13256 f 13520 13785 13786 13521 f 13785 14050 14051 13786 f 14050 14315 14316 14051 f 14315 14580 14581 14316 f 14580 14845 14846 14581 f 14845 15110 15111 14846 f 15110 15375 15376 15111 f 15375 15640 15641 15376 f 15640 15905 15906 15641 f 15905 16170 16171 15906 f 16170 16435 16436 16171 f 16435 16700 16701 16436 f 16700 16965 16966 16701 f 16965 17230 17231 16966 f 17230 17495 17496 17231 f 17495 17760 17761 17496 f 17760 18025 18026 17761 f 18025 18290 18291 18026 f 18290 18555 18556 18291 f 18555 18820 18821 18556 f 18820 19085 19086 18821 f 19085 19350 19351 19086 f 19350 19615 19616 19351 f 19615 19880 19881 19616 f 19880 20145 20146 19881 f 20145 20410 20411 20146 f 20410 20675 20676 20411 f 20675 20940 20941 20676 f 20940 21205 21206 20941 f 21205 21470 21471 21206 f 21470 21735 21736 21471 f 21735 22000 22001 21736 f 22000 22265 22266 22001 f 22265 22530 22531 22266 f 22530 22795 22796 22531 f 22795 23060 23061 22796 f 23060 23325 23326 23061 f 23325 23590 23591 23326 f 23590 23855 23856 23591 f 23855 24120 24121 23856 f 24120 24385 24386 24121 f 24385 24650 24651 24386 f 24650 24915 24916 24651 f 24915 25180 25181 24916 f 25180 25445 25446 25181 f 25445 25710 25711 25446 f 25710 25975 25976 25711 f 25975 26240 26241 25976 f 26240 26505 26506 26241 f 26505 26770 26771 26506 f 26770 27035 27036 26771 f 27035 27300 27301 27036 f 27300 27565 27566 27301 f 27565 27830 27831 27566 f 27830 28095 28096 27831 f 28095 28360 28361 28096 f 28360 28625 28626 28361 f 28625 28890 28891 28626 f 28890 29155 29156 28891 f 29155 29420 29421 29156 f 29420 29685 29686 29421 f 29685 29950 29951 29686 f 29950 30215 30216 29951 f 30215 30480 30481 30216 f 30480 30745 30746 30481 f 30745 31010 31011 30746 f 31010 31275 31276 31011 f 31275 31540 31541 31276 f 31540 31805 31806 31541 f 31805 32070 32071 31806 f 4709 5836 5837 4710 f 5836 6101 6102 5837 f 6101 6366 6367 6102 f 6366 6631 6632 6367 f 6631 6896 6897 6632 f 6896 7161 7162 6897 f 7161 7426 7427 7162 f 7426 7691 7692 7427 f 7691 7956 7957 7692 f 7956 8221 8222 7957 f 8221 8486 8487 8222 f 8486 8751 8752 8487 f 8751 9016 9017 8752 f 9016 9281 9282 9017 f 9281 9546 9547 9282 f 9546 9811 9812 9547 f 9811 10076 10077 9812 f 10076 10341 10342 10077 f 10341 10606 10607 10342 f 10606 10871 10872 10607 f 10871 11136 11137 10872 f 11136 11401 11402 11137 f 11401 11666 11667 11402 f 11666 11931 11932 11667 f 11931 12196 12197 11932 f 12196 12461 12462 12197 f 12461 12726 12727 12462 f 12726 12991 12992 12727 f 12991 13256 13257 12992 f 13256 13521 13522 13257 f 13521 13786 13787 13522 f 13786 14051 14052 13787 f 14051 14316 14317 14052 f 14316 14581 14582 14317 f 14581 14846 14847 14582 f 14846 15111 15112 14847 f 15111 15376 15377 15112 f 15376 15641 15642 15377 f 15641 15906 15907 15642 f 15906 16171 16172 15907 f 16171 16436 16437 16172 f 16436 16701 16702 16437 f 16701 16966 16967 16702 f 16966 17231 17232 16967 f 17231 17496 17497 17232 f 17496 17761 17762 17497 f 17761 18026 18027 17762 f 18026 18291 18292 18027 f 18291 18556 18557 18292 f 18556 18821 18822 18557 f 18821 19086 19087 18822 f 19086 19351 19352 19087 f 19351 19616 19617 19352 f 19616 19881 19882 19617 f 19881 20146 20147 19882 f 20146 20411 20412 20147 f 20411 20676 20677 20412 f 20676 20941 20942 20677 f 20941 21206 21207 20942 f 21206 21471 21472 21207 f 21471 21736 21737 21472 f 21736 22001 22002 21737 f 22001 22266 22267 22002 f 22266 22531 22532 22267 f 22531 22796 22797 22532 f 22796 23061 23062 22797 f 23061 23326 23327 23062 f 23326 23591 23592 23327 f 23591 23856 23857 23592 f 23856 24121 24122 23857 f 24121 24386 24387 24122 f 24386 24651 24652 24387 f 24651 24916 24917 24652 f 24916 25181 25182 24917 f 25181 25446 25447 25182 f 25446 25711 25712 25447 f 25711 25976 25977 25712 f 25976 26241 26242 25977 f 26241 26506 26507 26242 f 26506 26771 26772 26507 f 26771 27036 27037 26772 f 27036 27301 27302 27037 f 27301 27566 27567 27302 f 27566 27831 27832 27567 f 27831 28096 28097 27832 f 28096 28361 28362 28097 f 28361 28626 28627 28362 f 28626 28891 28892 28627 f 28891 29156 29157 28892 f 29156 29421 29422 29157 f 29421 29686 29687 29422 f 29686 29951 29952 29687 f 29951 30216 30217 29952 f 30216 30481 30482 30217 f 30481 30746 30747 30482 f 30746 31011 31012 30747 f 31011 31276 31277 31012 f 31276 31541 31542 31277 f 31541 31806 31807 31542 f 31806 32071 32072 31807 f 4710 5837 5838 4711 f 5837 6102 6103 5838 f 6102 6367 6368 6103 f 6367 6632 6633 6368 f 6632 6897 6898 6633 f 6897 7162 7163 6898 f 7162 7427 7428 7163 f 7427 7692 7693 7428 f 7692 7957 7958 7693 f 7957 8222 8223 7958 f 8222 8487 8488 8223 f 8487 8752 8753 8488 f 8752 9017 9018 8753 f 9017 9282 9283 9018 f 9282 9547 9548 9283 f 9547 9812 9813 9548 f 9812 10077 10078 9813 f 10077 10342 10343 10078 f 10342 10607 10608 10343 f 10607 10872 10873 10608 f 10872 11137 11138 10873 f 11137 11402 11403 11138 f 11402 11667 11668 11403 f 11667 11932 11933 11668 f 11932 12197 12198 11933 f 12197 12462 12463 12198 f 12462 12727 12728 12463 f 12727 12992 12993 12728 f 12992 13257 13258 12993 f 13257 13522 13523 13258 f 13522 13787 13788 13523 f 13787 14052 14053 13788 f 14052 14317 14318 14053 f 14317 14582 14583 14318 f 14582 14847 14848 14583 f 14847 15112 15113 14848 f 15112 15377 15378 15113 f 15377 15642 15643 15378 f 15642 15907 15908 15643 f 15907 16172 16173 15908 f 16172 16437 16438 16173 f 16437 16702 16703 16438 f 16702 16967 16968 16703 f 16967 17232 17233 16968 f 17232 17497 17498 17233 f 17497 17762 17763 17498 f 17762 18027 18028 17763 f 18027 18292 18293 18028 f 18292 18557 18558 18293 f 18557 18822 18823 18558 f 18822 19087 19088 18823 f 19087 19352 19353 19088 f 19352 19617 19618 19353 f 19617 19882 19883 19618 f 19882 20147 20148 19883 f 20147 20412 20413 20148 f 20412 20677 20678 20413 f 20677 20942 20943 20678 f 20942 21207 21208 20943 f 21207 21472 21473 21208 f 21472 21737 21738 21473 f 21737 22002 22003 21738 f 22002 22267 22268 22003 f 22267 22532 22533 22268 f 22532 22797 22798 22533 f 22797 23062 23063 22798 f 23062 23327 23328 23063 f 23327 23592 23593 23328 f 23592 23857 23858 23593 f 23857 24122 24123 23858 f 24122 24387 24388 24123 f 24387 24652 24653 24388 f 24652 24917 24918 24653 f 24917 25182 25183 24918 f 25182 25447 25448 25183 f 25447 25712 25713 25448 f 25712 25977 25978 25713 f 25977 26242 26243 25978 f 26242 26507 26508 26243 f 26507 26772 26773 26508 f 26772 27037 27038 26773 f 27037 27302 27303 27038 f 27302 27567 27568 27303 f 27567 27832 27833 27568 f 27832 28097 28098 27833 f 28097 28362 28363 28098 f 28362 28627 28628 28363 f 28627 28892 28893 28628 f 28892 29157 29158 28893 f 29157 29422 29423 29158 f 29422 29687 29688 29423 f 29687 29952 29953 29688 f 29952 30217 30218 29953 f 30217 30482 30483 30218 f 30482 30747 30748 30483 f 30747 31012 31013 30748 f 31012 31277 31278 31013 f 31277 31542 31543 31278 f 31542 31807 31808 31543 f 31807 32072 32073 31808 f 4711 5838 5839 4712 f 5838 6103 6104 5839 f 6103 6368 6369 6104 f 6368 6633 6634 6369 f 6633 6898 6899 6634 f 6898 7163 7164 6899 f 7163 7428 7429 7164 f 7428 7693 7694 7429 f 7693 7958 7959 7694 f 7958 8223 8224 7959 f 8223 8488 8489 8224 f 8488 8753 8754 8489 f 8753 9018 9019 8754 f 9018 9283 9284 9019 f 9283 9548 9549 9284 f 9548 9813 9814 9549 f 9813 10078 10079 9814 f 10078 10343 10344 10079 f 10343 10608 10609 10344 f 10608 10873 10874 10609 f 10873 11138 11139 10874 f 11138 11403 11404 11139 f 11403 11668 11669 11404 f 11668 11933 11934 11669 f 11933 12198 12199 11934 f 12198 12463 12464 12199 f 12463 12728 12729 12464 f 12728 12993 12994 12729 f 12993 13258 13259 12994 f 13258 13523 13524 13259 f 13523 13788 13789 13524 f 13788 14053 14054 13789 f 14053 14318 14319 14054 f 14318 14583 14584 14319 f 14583 14848 14849 14584 f 14848 15113 15114 14849 f 15113 15378 15379 15114 f 15378 15643 15644 15379 f 15643 15908 15909 15644 f 15908 16173 16174 15909 f 16173 16438 16439 16174 f 16438 16703 16704 16439 f 16703 16968 16969 16704 f 16968 17233 17234 16969 f 17233 17498 17499 17234 f 17498 17763 17764 17499 f 17763 18028 18029 17764 f 18028 18293 18294 18029 f 18293 18558 18559 18294 f 18558 18823 18824 18559 f 18823 19088 19089 18824 f 19088 19353 19354 19089 f 19353 19618 19619 19354 f 19618 19883 19884 19619 f 19883 20148 20149 19884 f 20148 20413 20414 20149 f 20413 20678 20679 20414 f 20678 20943 20944 20679 f 20943 21208 21209 20944 f 21208 21473 21474 21209 f 21473 21738 21739 21474 f 21738 22003 22004 21739 f 22003 22268 22269 22004 f 22268 22533 22534 22269 f 22533 22798 22799 22534 f 22798 23063 23064 22799 f 23063 23328 23329 23064 f 23328 23593 23594 23329 f 23593 23858 23859 23594 f 23858 24123 24124 23859 f 24123 24388 24389 24124 f 24388 24653 24654 24389 f 24653 24918 24919 24654 f 24918 25183 25184 24919 f 25183 25448 25449 25184 f 25448 25713 25714 25449 f 25713 25978 25979 25714 f 25978 26243 26244 25979 f 26243 26508 26509 26244 f 26508 26773 26774 26509 f 26773 27038 27039 26774 f 27038 27303 27304 27039 f 27303 27568 27569 27304 f 27568 27833 27834 27569 f 27833 28098 28099 27834 f 28098 28363 28364 28099 f 28363 28628 28629 28364 f 28628 28893 28894 28629 f 28893 29158 29159 28894 f 29158 29423 29424 29159 f 29423 29688 29689 29424 f 29688 29953 29954 29689 f 29953 30218 30219 29954 f 30218 30483 30484 30219 f 30483 30748 30749 30484 f 30748 31013 31014 30749 f 31013 31278 31279 31014 f 31278 31543 31544 31279 f 31543 31808 31809 31544 f 31808 32073 32074 31809 f 4712 5839 5840 4713 f 5839 6104 6105 5840 f 6104 6369 6370 6105 f 6369 6634 6635 6370 f 6634 6899 6900 6635 f 6899 7164 7165 6900 f 7164 7429 7430 7165 f 7429 7694 7695 7430 f 7694 7959 7960 7695 f 7959 8224 8225 7960 f 8224 8489 8490 8225 f 8489 8754 8755 8490 f 8754 9019 9020 8755 f 9019 9284 9285 9020 f 9284 9549 9550 9285 f 9549 9814 9815 9550 f 9814 10079 10080 9815 f 10079 10344 10345 10080 f 10344 10609 10610 10345 f 10609 10874 10875 10610 f 10874 11139 11140 10875 f 11139 11404 11405 11140 f 11404 11669 11670 11405 f 11669 11934 11935 11670 f 11934 12199 12200 11935 f 12199 12464 12465 12200 f 12464 12729 12730 12465 f 12729 12994 12995 12730 f 12994 13259 13260 12995 f 13259 13524 13525 13260 f 13524 13789 13790 13525 f 13789 14054 14055 13790 f 14054 14319 14320 14055 f 14319 14584 14585 14320 f 14584 14849 14850 14585 f 14849 15114 15115 14850 f 15114 15379 15380 15115 f 15379 15644 15645 15380 f 15644 15909 15910 15645 f 15909 16174 16175 15910 f 16174 16439 16440 16175 f 16439 16704 16705 16440 f 16704 16969 16970 16705 f 16969 17234 17235 16970 f 17234 17499 17500 17235 f 17499 17764 17765 17500 f 17764 18029 18030 17765 f 18029 18294 18295 18030 f 18294 18559 18560 18295 f 18559 18824 18825 18560 f 18824 19089 19090 18825 f 19089 19354 19355 19090 f 19354 19619 19620 19355 f 19619 19884 19885 19620 f 19884 20149 20150 19885 f 20149 20414 20415 20150 f 20414 20679 20680 20415 f 20679 20944 20945 20680 f 20944 21209 21210 20945 f 21209 21474 21475 21210 f 21474 21739 21740 21475 f 21739 22004 22005 21740 f 22004 22269 22270 22005 f 22269 22534 22535 22270 f 22534 22799 22800 22535 f 22799 23064 23065 22800 f 23064 23329 23330 23065 f 23329 23594 23595 23330 f 23594 23859 23860 23595 f 23859 24124 24125 23860 f 24124 24389 24390 24125 f 24389 24654 24655 24390 f 24654 24919 24920 24655 f 24919 25184 25185 24920 f 25184 25449 25450 25185 f 25449 25714 25715 25450 f 25714 25979 25980 25715 f 25979 26244 26245 25980 f 26244 26509 26510 26245 f 26509 26774 26775 26510 f 26774 27039 27040 26775 f 27039 27304 27305 27040 f 27304 27569 27570 27305 f 27569 27834 27835 27570 f 27834 28099 28100 27835 f 28099 28364 28365 28100 f 28364 28629 28630 28365 f 28629 28894 28895 28630 f 28894 29159 29160 28895 f 29159 29424 29425 29160 f 29424 29689 29690 29425 f 29689 29954 29955 29690 f 29954 30219 30220 29955 f 30219 30484 30485 30220 f 30484 30749 30750 30485 f 30749 31014 31015 30750 f 31014 31279 31280 31015 f 31279 31544 31545 31280 f 31544 31809 31810 31545 f 31809 32074 32075 31810 f 4713 5840 5841 4714 f 5840 6105 6106 5841 f 6105 6370 6371 6106 f 6370 6635 6636 6371 f 6635 6900 6901 6636 f 6900 7165 7166 6901 f 7165 7430 7431 7166 f 7430 7695 7696 7431 f 7695 7960 7961 7696 f 7960 8225 8226 7961 f 8225 8490 8491 8226 f 8490 8755 8756 8491 f 8755 9020 9021 8756 f 9020 9285 9286 9021 f 9285 9550 9551 9286 f 9550 9815 9816 9551 f 9815 10080 10081 9816 f 10080 10345 10346 10081 f 10345 10610 10611 10346 f 10610 10875 10876 10611 f 10875 11140 11141 10876 f 11140 11405 11406 11141 f 11405 11670 11671 11406 f 11670 11935 11936 11671 f 11935 12200 12201 11936 f 12200 12465 12466 12201 f 12465 12730 12731 12466 f 12730 12995 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11409 11674 11675 11410 f 11674 11939 11940 11675 f 11939 12204 12205 11940 f 12204 12469 12470 12205 f 12469 12734 12735 12470 f 12734 12999 13000 12735 f 12999 13264 13265 13000 f 13264 13529 13530 13265 f 13529 13794 13795 13530 f 13794 14059 14060 13795 f 14059 14324 14325 14060 f 14324 14589 14590 14325 f 14589 14854 14855 14590 f 14854 15119 15120 14855 f 15119 15384 15385 15120 f 15384 15649 15650 15385 f 15649 15914 15915 15650 f 15914 16179 16180 15915 f 16179 16444 16445 16180 f 16444 16709 16710 16445 f 16709 16974 16975 16710 f 16974 17239 17240 16975 f 17239 17504 17505 17240 f 17504 17769 17770 17505 f 17769 18034 18035 17770 f 18034 18299 18300 18035 f 18299 18564 18565 18300 f 18564 18829 18830 18565 f 18829 19094 19095 18830 f 19094 19359 19360 19095 f 19359 19624 19625 19360 f 19624 19889 19890 19625 f 19889 20154 20155 19890 f 20154 20419 20420 20155 f 20419 20684 20685 20420 f 20684 20949 20950 20685 f 20949 21214 21215 20950 f 21214 21479 21480 21215 f 21479 21744 21745 21480 f 21744 22009 22010 21745 f 22009 22274 22275 22010 f 22274 22539 22540 22275 f 22539 22804 22805 22540 f 22804 23069 23070 22805 f 23069 23334 23335 23070 f 23334 23599 23600 23335 f 23599 23864 23865 23600 f 23864 24129 24130 23865 f 24129 24394 24395 24130 f 24394 24659 24660 24395 f 24659 24924 24925 24660 f 24924 25189 25190 24925 f 25189 25454 25455 25190 f 25454 25719 25720 25455 f 25719 25984 25985 25720 f 25984 26249 26250 25985 f 26249 26514 26515 26250 f 26514 26779 26780 26515 f 26779 27044 27045 26780 f 27044 27309 27310 27045 f 27309 27574 27575 27310 f 27574 27839 27840 27575 f 27839 28104 28105 27840 f 28104 28369 28370 28105 f 28369 28634 28635 28370 f 28634 28899 28900 28635 f 28899 29164 29165 28900 f 29164 29429 29430 29165 f 29429 29694 29695 29430 f 29694 29959 29960 29695 f 29959 30224 30225 29960 f 30224 30489 30490 30225 f 30489 30754 30755 30490 f 30754 31019 31020 30755 f 31019 31284 31285 31020 f 31284 31549 31550 31285 f 31549 31814 31815 31550 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20158 20423 20424 20159 f 20423 20688 20689 20424 f 20688 20953 20954 20689 f 20953 21218 21219 20954 f 21218 21483 21484 21219 f 21483 21748 21749 21484 f 21748 22013 22014 21749 f 22013 22278 22279 22014 f 22278 22543 22544 22279 f 22543 22808 22809 22544 f 22808 23073 23074 22809 f 23073 23338 23339 23074 f 23338 23603 23604 23339 f 23603 23868 23869 23604 f 23868 24133 24134 23869 f 24133 24398 24399 24134 f 24398 24663 24664 24399 f 24663 24928 24929 24664 f 24928 25193 25194 24929 f 25193 25458 25459 25194 f 25458 25723 25724 25459 f 25723 25988 25989 25724 f 25988 26253 26254 25989 f 26253 26518 26519 26254 f 26518 26783 26784 26519 f 26783 27048 27049 26784 f 27048 27313 27314 27049 f 27313 27578 27579 27314 f 27578 27843 27844 27579 f 27843 28108 28109 27844 f 28108 28373 28374 28109 f 28373 28638 28639 28374 f 28638 28903 28904 28639 f 28903 29168 29169 28904 f 29168 29433 29434 29169 f 29433 29698 29699 29434 f 29698 29963 29964 29699 f 29963 30228 30229 29964 f 30228 30493 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f 24929 25194 25195 24930 f 25194 25459 25460 25195 f 25459 25724 25725 25460 f 25724 25989 25990 25725 f 25989 26254 26255 25990 f 26254 26519 26520 26255 f 26519 26784 26785 26520 f 26784 27049 27050 26785 f 27049 27314 27315 27050 f 27314 27579 27580 27315 f 27579 27844 27845 27580 f 27844 28109 28110 27845 f 28109 28374 28375 28110 f 28374 28639 28640 28375 f 28639 28904 28905 28640 f 28904 29169 29170 28905 f 29169 29434 29435 29170 f 29434 29699 29700 29435 f 29699 29964 29965 29700 f 29964 30229 30230 29965 f 30229 30494 30495 30230 f 30494 30759 30760 30495 f 30759 31024 31025 30760 f 31024 31289 31290 31025 f 31289 31554 31555 31290 f 31554 31819 31820 31555 f 31819 32084 32085 31820 f 4723 5850 5851 4724 f 5850 6115 6116 5851 f 6115 6380 6381 6116 f 6380 6645 6646 6381 f 6645 6910 6911 6646 f 6910 7175 7176 6911 f 7175 7440 7441 7176 f 7440 7705 7706 7441 f 7705 7970 7971 7706 f 7970 8235 8236 7971 f 8235 8500 8501 8236 f 8500 8765 8766 8501 f 8765 9030 9031 8766 f 9030 9295 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24136 24401 24402 24137 f 24401 24666 24667 24402 f 24666 24931 24932 24667 f 24931 25196 25197 24932 f 25196 25461 25462 25197 f 25461 25726 25727 25462 f 25726 25991 25992 25727 f 25991 26256 26257 25992 f 26256 26521 26522 26257 f 26521 26786 26787 26522 f 26786 27051 27052 26787 f 27051 27316 27317 27052 f 27316 27581 27582 27317 f 27581 27846 27847 27582 f 27846 28111 28112 27847 f 28111 28376 28377 28112 f 28376 28641 28642 28377 f 28641 28906 28907 28642 f 28906 29171 29172 28907 f 29171 29436 29437 29172 f 29436 29701 29702 29437 f 29701 29966 29967 29702 f 29966 30231 30232 29967 f 30231 30496 30497 30232 f 30496 30761 30762 30497 f 30761 31026 31027 30762 f 31026 31291 31292 31027 f 31291 31556 31557 31292 f 31556 31821 31822 31557 f 31821 32086 32087 31822 f 4725 5852 5853 4728 f 5852 6117 6118 5853 f 6117 6382 6383 6118 f 6382 6647 6648 6383 f 6647 6912 6913 6648 f 6912 7177 7178 6913 f 7177 7442 7443 7178 f 7442 7707 7708 7443 f 7707 7972 7973 7708 f 7972 8237 8238 7973 f 8237 8502 8503 8238 f 8502 8767 8768 8503 f 8767 9032 9033 8768 f 9032 9297 9298 9033 f 9297 9562 9563 9298 f 9562 9827 9828 9563 f 9827 10092 10093 9828 f 10092 10357 10358 10093 f 10357 10622 10623 10358 f 10622 10887 10888 10623 f 10887 11152 11153 10888 f 11152 11417 11418 11153 f 11417 11682 11683 11418 f 11682 11947 11948 11683 f 11947 12212 12213 11948 f 12212 12477 12478 12213 f 12477 12742 12743 12478 f 12742 13007 13008 12743 f 13007 13272 13273 13008 f 13272 13537 13538 13273 f 13537 13802 13803 13538 f 13802 14067 14068 13803 f 14067 14332 14333 14068 f 14332 14597 14598 14333 f 14597 14862 14863 14598 f 14862 15127 15128 14863 f 15127 15392 15393 15128 f 15392 15657 15658 15393 f 15657 15922 15923 15658 f 15922 16187 16188 15923 f 16187 16452 16453 16188 f 16452 16717 16718 16453 f 16717 16982 16983 16718 f 16982 17247 17248 16983 f 17247 17512 17513 17248 f 17512 17777 17778 17513 f 17777 18042 18043 17778 f 18042 18307 18308 18043 f 18307 18572 18573 18308 f 18572 18837 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f 28907 29172 29173 28908 f 29172 29437 29438 29173 f 29437 29702 29703 29438 f 29702 29967 29968 29703 f 29967 30232 30233 29968 f 30232 30497 30498 30233 f 30497 30762 30763 30498 f 30762 31027 31028 30763 f 31027 31292 31293 31028 f 31292 31557 31558 31293 f 31557 31822 31823 31558 f 31822 32087 32088 31823 f 4728 5853 5854 4772 f 5853 6118 6119 5854 f 6118 6383 6384 6119 f 6383 6648 6649 6384 f 6648 6913 6914 6649 f 6913 7178 7179 6914 f 7178 7443 7444 7179 f 7443 7708 7709 7444 f 7708 7973 7974 7709 f 7973 8238 8239 7974 f 8238 8503 8504 8239 f 8503 8768 8769 8504 f 8768 9033 9034 8769 f 9033 9298 9299 9034 f 9298 9563 9564 9299 f 9563 9828 9829 9564 f 9828 10093 10094 9829 f 10093 10358 10359 10094 f 10358 10623 10624 10359 f 10623 10888 10889 10624 f 10888 11153 11154 10889 f 11153 11418 11419 11154 f 11418 11683 11684 11419 f 11683 11948 11949 11684 f 11948 12213 12214 11949 f 12213 12478 12479 12214 f 12478 12743 12744 12479 f 12743 13008 13009 12744 f 13008 13273 13274 13009 f 13273 13538 13539 13274 f 13538 13803 13804 13539 f 13803 14068 14069 13804 f 14068 14333 14334 14069 f 14333 14598 14599 14334 f 14598 14863 14864 14599 f 14863 15128 15129 14864 f 15128 15393 15394 15129 f 15393 15658 15659 15394 f 15658 15923 15924 15659 f 15923 16188 16189 15924 f 16188 16453 16454 16189 f 16453 16718 16719 16454 f 16718 16983 16984 16719 f 16983 17248 17249 16984 f 17248 17513 17514 17249 f 17513 17778 17779 17514 f 17778 18043 18044 17779 f 18043 18308 18309 18044 f 18308 18573 18574 18309 f 18573 18838 18839 18574 f 18838 19103 19104 18839 f 19103 19368 19369 19104 f 19368 19633 19634 19369 f 19633 19898 19899 19634 f 19898 20163 20164 19899 f 20163 20428 20429 20164 f 20428 20693 20694 20429 f 20693 20958 20959 20694 f 20958 21223 21224 20959 f 21223 21488 21489 21224 f 21488 21753 21754 21489 f 21753 22018 22019 21754 f 22018 22283 22284 22019 f 22283 22548 22549 22284 f 22548 22813 22814 22549 f 22813 23078 23079 22814 f 23078 23343 23344 23079 f 23343 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7180 f 7444 7709 7710 7445 f 7709 7974 7975 7710 f 7974 8239 8240 7975 f 8239 8504 8505 8240 f 8504 8769 8770 8505 f 8769 9034 9035 8770 f 9034 9299 9300 9035 f 9299 9564 9565 9300 f 9564 9829 9830 9565 f 9829 10094 10095 9830 f 10094 10359 10360 10095 f 10359 10624 10625 10360 f 10624 10889 10890 10625 f 10889 11154 11155 10890 f 11154 11419 11420 11155 f 11419 11684 11685 11420 f 11684 11949 11950 11685 f 11949 12214 12215 11950 f 12214 12479 12480 12215 f 12479 12744 12745 12480 f 12744 13009 13010 12745 f 13009 13274 13275 13010 f 13274 13539 13540 13275 f 13539 13804 13805 13540 f 13804 14069 14070 13805 f 14069 14334 14335 14070 f 14334 14599 14600 14335 f 14599 14864 14865 14600 f 14864 15129 15130 14865 f 15129 15394 15395 15130 f 15394 15659 15660 15395 f 15659 15924 15925 15660 f 15924 16189 16190 15925 f 16189 16454 16455 16190 f 16454 16719 16720 16455 f 16719 16984 16985 16720 f 16984 17249 17250 16985 f 17249 17514 17515 17250 f 17514 17779 17780 17515 f 17779 18044 18045 17780 f 18044 18309 18310 18045 f 18309 18574 18575 18310 f 18574 18839 18840 18575 f 18839 19104 19105 18840 f 19104 19369 19370 19105 f 19369 19634 19635 19370 f 19634 19899 19900 19635 f 19899 20164 20165 19900 f 20164 20429 20430 20165 f 20429 20694 20695 20430 f 20694 20959 20960 20695 f 20959 21224 21225 20960 f 21224 21489 21490 21225 f 21489 21754 21755 21490 f 21754 22019 22020 21755 f 22019 22284 22285 22020 f 22284 22549 22550 22285 f 22549 22814 22815 22550 f 22814 23079 23080 22815 f 23079 23344 23345 23080 f 23344 23609 23610 23345 f 23609 23874 23875 23610 f 23874 24139 24140 23875 f 24139 24404 24405 24140 f 24404 24669 24670 24405 f 24669 24934 24935 24670 f 24934 25199 25200 24935 f 25199 25464 25465 25200 f 25464 25729 25730 25465 f 25729 25994 25995 25730 f 25994 26259 26260 25995 f 26259 26524 26525 26260 f 26524 26789 26790 26525 f 26789 27054 27055 26790 f 27054 27319 27320 27055 f 27319 27584 27585 27320 f 27584 27849 27850 27585 f 27849 28114 28115 27850 f 28114 28379 28380 28115 f 28379 28644 28645 28380 f 28644 28909 28910 28645 f 28909 29174 29175 28910 f 29174 29439 29440 29175 f 29439 29704 29705 29440 f 29704 29969 29970 29705 f 29969 30234 30235 29970 f 30234 30499 30500 30235 f 30499 30764 30765 30500 f 30764 31029 31030 30765 f 31029 31294 31295 31030 f 31294 31559 31560 31295 f 31559 31824 31825 31560 f 31824 32089 32090 31825 f 4816 5855 5856 4860 f 5855 6120 6121 5856 f 6120 6385 6386 6121 f 6385 6650 6651 6386 f 6650 6915 6916 6651 f 6915 7180 7181 6916 f 7180 7445 7446 7181 f 7445 7710 7711 7446 f 7710 7975 7976 7711 f 7975 8240 8241 7976 f 8240 8505 8506 8241 f 8505 8770 8771 8506 f 8770 9035 9036 8771 f 9035 9300 9301 9036 f 9300 9565 9566 9301 f 9565 9830 9831 9566 f 9830 10095 10096 9831 f 10095 10360 10361 10096 f 10360 10625 10626 10361 f 10625 10890 10891 10626 f 10890 11155 11156 10891 f 11155 11420 11421 11156 f 11420 11685 11686 11421 f 11685 11950 11951 11686 f 11950 12215 12216 11951 f 12215 12480 12481 12216 f 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f 10366 10631 10632 10367 f 10631 10896 10897 10632 f 10896 11161 11162 10897 f 11161 11426 11427 11162 f 11426 11691 11692 11427 f 11691 11956 11957 11692 f 11956 12221 12222 11957 f 12221 12486 12487 12222 f 12486 12751 12752 12487 f 12751 13016 13017 12752 f 13016 13281 13282 13017 f 13281 13546 13547 13282 f 13546 13811 13812 13547 f 13811 14076 14077 13812 f 14076 14341 14342 14077 f 14341 14606 14607 14342 f 14606 14871 14872 14607 f 14871 15136 15137 14872 f 15136 15401 15402 15137 f 15401 15666 15667 15402 f 15666 15931 15932 15667 f 15931 16196 16197 15932 f 16196 16461 16462 16197 f 16461 16726 16727 16462 f 16726 16991 16992 16727 f 16991 17256 17257 16992 f 17256 17521 17522 17257 f 17521 17786 17787 17522 f 17786 18051 18052 17787 f 18051 18316 18317 18052 f 18316 18581 18582 18317 f 18581 18846 18847 18582 f 18846 19111 19112 18847 f 19111 19376 19377 19112 f 19376 19641 19642 19377 f 19641 19906 19907 19642 f 19906 20171 20172 19907 f 20171 20436 20437 20172 f 20436 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30507 f 30771 31036 31037 30772 f 31036 31301 31302 31037 f 31301 31566 31567 31302 f 31566 31831 31832 31567 f 31831 32096 32097 31832 f 5124 5862 5863 5168 f 5862 6127 6128 5863 f 6127 6392 6393 6128 f 6392 6657 6658 6393 f 6657 6922 6923 6658 f 6922 7187 7188 6923 f 7187 7452 7453 7188 f 7452 7717 7718 7453 f 7717 7982 7983 7718 f 7982 8247 8248 7983 f 8247 8512 8513 8248 f 8512 8777 8778 8513 f 8777 9042 9043 8778 f 9042 9307 9308 9043 f 9307 9572 9573 9308 f 9572 9837 9838 9573 f 9837 10102 10103 9838 f 10102 10367 10368 10103 f 10367 10632 10633 10368 f 10632 10897 10898 10633 f 10897 11162 11163 10898 f 11162 11427 11428 11163 f 11427 11692 11693 11428 f 11692 11957 11958 11693 f 11957 12222 12223 11958 f 12222 12487 12488 12223 f 12487 12752 12753 12488 f 12752 13017 13018 12753 f 13017 13282 13283 13018 f 13282 13547 13548 13283 f 13547 13812 13813 13548 f 13812 14077 14078 13813 f 14077 14342 14343 14078 f 14342 14607 14608 14343 f 14607 14872 14873 14608 f 14872 15137 15138 14873 f 15137 15402 15403 15138 f 15402 15667 15668 15403 f 15667 15932 15933 15668 f 15932 16197 16198 15933 f 16197 16462 16463 16198 f 16462 16727 16728 16463 f 16727 16992 16993 16728 f 16992 17257 17258 16993 f 17257 17522 17523 17258 f 17522 17787 17788 17523 f 17787 18052 18053 17788 f 18052 18317 18318 18053 f 18317 18582 18583 18318 f 18582 18847 18848 18583 f 18847 19112 19113 18848 f 19112 19377 19378 19113 f 19377 19642 19643 19378 f 19642 19907 19908 19643 f 19907 20172 20173 19908 f 20172 20437 20438 20173 f 20437 20702 20703 20438 f 20702 20967 20968 20703 f 20967 21232 21233 20968 f 21232 21497 21498 21233 f 21497 21762 21763 21498 f 21762 22027 22028 21763 f 22027 22292 22293 22028 f 22292 22557 22558 22293 f 22557 22822 22823 22558 f 22822 23087 23088 22823 f 23087 23352 23353 23088 f 23352 23617 23618 23353 f 23617 23882 23883 23618 f 23882 24147 24148 23883 f 24147 24412 24413 24148 f 24412 24677 24678 24413 f 24677 24942 24943 24678 f 24942 25207 25208 24943 f 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9309 f 9573 9838 9839 9574 f 9838 10103 10104 9839 f 10103 10368 10369 10104 f 10368 10633 10634 10369 f 10633 10898 10899 10634 f 10898 11163 11164 10899 f 11163 11428 11429 11164 f 11428 11693 11694 11429 f 11693 11958 11959 11694 f 11958 12223 12224 11959 f 12223 12488 12489 12224 f 12488 12753 12754 12489 f 12753 13018 13019 12754 f 13018 13283 13284 13019 f 13283 13548 13549 13284 f 13548 13813 13814 13549 f 13813 14078 14079 13814 f 14078 14343 14344 14079 f 14343 14608 14609 14344 f 14608 14873 14874 14609 f 14873 15138 15139 14874 f 15138 15403 15404 15139 f 15403 15668 15669 15404 f 15668 15933 15934 15669 f 15933 16198 16199 15934 f 16198 16463 16464 16199 f 16463 16728 16729 16464 f 16728 16993 16994 16729 f 16993 17258 17259 16994 f 17258 17523 17524 17259 f 17523 17788 17789 17524 f 17788 18053 18054 17789 f 18053 18318 18319 18054 f 18318 18583 18584 18319 f 18583 18848 18849 18584 f 18848 19113 19114 18849 f 19113 19378 19379 19114 f 19378 19643 19644 19379 f 19643 19908 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f 29978 30243 30244 29979 f 30243 30508 30509 30244 f 30508 30773 30774 30509 f 30773 31038 31039 30774 f 31038 31303 31304 31039 f 31303 31568 31569 31304 f 31568 31833 31834 31569 f 31833 32098 32099 31834 f 5212 5864 5865 5256 f 5864 6129 6130 5865 f 6129 6394 6395 6130 f 6394 6659 6660 6395 f 6659 6924 6925 6660 f 6924 7189 7190 6925 f 7189 7454 7455 7190 f 7454 7719 7720 7455 f 7719 7984 7985 7720 f 7984 8249 8250 7985 f 8249 8514 8515 8250 f 8514 8779 8780 8515 f 8779 9044 9045 8780 f 9044 9309 9310 9045 f 9309 9574 9575 9310 f 9574 9839 9840 9575 f 9839 10104 10105 9840 f 10104 10369 10370 10105 f 10369 10634 10635 10370 f 10634 10899 10900 10635 f 10899 11164 11165 10900 f 11164 11429 11430 11165 f 11429 11694 11695 11430 f 11694 11959 11960 11695 f 11959 12224 12225 11960 f 12224 12489 12490 12225 f 12489 12754 12755 12490 f 12754 13019 13020 12755 f 13019 13284 13285 13020 f 13284 13549 13550 13285 f 13549 13814 13815 13550 f 13814 14079 14080 13815 f 14079 14344 14345 14080 f 14344 14609 14610 14345 f 14609 14874 14875 14610 f 14874 15139 15140 14875 f 15139 15404 15405 15140 f 15404 15669 15670 15405 f 15669 15934 15935 15670 f 15934 16199 16200 15935 f 16199 16464 16465 16200 f 16464 16729 16730 16465 f 16729 16994 16995 16730 f 16994 17259 17260 16995 f 17259 17524 17525 17260 f 17524 17789 17790 17525 f 17789 18054 18055 17790 f 18054 18319 18320 18055 f 18319 18584 18585 18320 f 18584 18849 18850 18585 f 18849 19114 19115 18850 f 19114 19379 19380 19115 f 19379 19644 19645 19380 f 19644 19909 19910 19645 f 19909 20174 20175 19910 f 20174 20439 20440 20175 f 20439 20704 20705 20440 f 20704 20969 20970 20705 f 20969 21234 21235 20970 f 21234 21499 21500 21235 f 21499 21764 21765 21500 f 21764 22029 22030 21765 f 22029 22294 22295 22030 f 22294 22559 22560 22295 f 22559 22824 22825 22560 f 22824 23089 23090 22825 f 23089 23354 23355 23090 f 23354 23619 23620 23355 f 23619 23884 23885 23620 f 23884 24149 24150 23885 f 24149 24414 24415 24150 f 24414 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18851 f 19115 19380 19381 19116 f 19380 19645 19646 19381 f 19645 19910 19911 19646 f 19910 20175 20176 19911 f 20175 20440 20441 20176 f 20440 20705 20706 20441 f 20705 20970 20971 20706 f 20970 21235 21236 20971 f 21235 21500 21501 21236 f 21500 21765 21766 21501 f 21765 22030 22031 21766 f 22030 22295 22296 22031 f 22295 22560 22561 22296 f 22560 22825 22826 22561 f 22825 23090 23091 22826 f 23090 23355 23356 23091 f 23355 23620 23621 23356 f 23620 23885 23886 23621 f 23885 24150 24151 23886 f 24150 24415 24416 24151 f 24415 24680 24681 24416 f 24680 24945 24946 24681 f 24945 25210 25211 24946 f 25210 25475 25476 25211 f 25475 25740 25741 25476 f 25740 26005 26006 25741 f 26005 26270 26271 26006 f 26270 26535 26536 26271 f 26535 26800 26801 26536 f 26800 27065 27066 26801 f 27065 27330 27331 27066 f 27330 27595 27596 27331 f 27595 27860 27861 27596 f 27860 28125 28126 27861 f 28125 28390 28391 28126 f 28390 28655 28656 28391 f 28655 28920 28921 28656 f 28920 29185 29186 28921 f 29185 29450 29451 29186 f 29450 29715 29716 29451 f 29715 29980 29981 29716 f 29980 30245 30246 29981 f 30245 30510 30511 30246 f 30510 30775 30776 30511 f 30775 31040 31041 30776 f 31040 31305 31306 31041 f 31305 31570 31571 31306 f 31570 31835 31836 31571 f 31835 32100 32101 31836 f 5300 5866 5867 5344 f 5866 6131 6132 5867 f 6131 6396 6397 6132 f 6396 6661 6662 6397 f 6661 6926 6927 6662 f 6926 7191 7192 6927 f 7191 7456 7457 7192 f 7456 7721 7722 7457 f 7721 7986 7987 7722 f 7986 8251 8252 7987 f 8251 8516 8517 8252 f 8516 8781 8782 8517 f 8781 9046 9047 8782 f 9046 9311 9312 9047 f 9311 9576 9577 9312 f 9576 9841 9842 9577 f 9841 10106 10107 9842 f 10106 10371 10372 10107 f 10371 10636 10637 10372 f 10636 10901 10902 10637 f 10901 11166 11167 10902 f 11166 11431 11432 11167 f 11431 11696 11697 11432 f 11696 11961 11962 11697 f 11961 12226 12227 11962 f 12226 12491 12492 12227 f 12491 12756 12757 12492 f 12756 13021 13022 12757 f 13021 13286 13287 13022 f 13286 13551 13552 13287 f 13551 13816 13817 13552 f 13816 14081 14082 13817 f 14081 14346 14347 14082 f 14346 14611 14612 14347 f 14611 14876 14877 14612 f 14876 15141 15142 14877 f 15141 15406 15407 15142 f 15406 15671 15672 15407 f 15671 15936 15937 15672 f 15936 16201 16202 15937 f 16201 16466 16467 16202 f 16466 16731 16732 16467 f 16731 16996 16997 16732 f 16996 17261 17262 16997 f 17261 17526 17527 17262 f 17526 17791 17792 17527 f 17791 18056 18057 17792 f 18056 18321 18322 18057 f 18321 18586 18587 18322 f 18586 18851 18852 18587 f 18851 19116 19117 18852 f 19116 19381 19382 19117 f 19381 19646 19647 19382 f 19646 19911 19912 19647 f 19911 20176 20177 19912 f 20176 20441 20442 20177 f 20441 20706 20707 20442 f 20706 20971 20972 20707 f 20971 21236 21237 20972 f 21236 21501 21502 21237 f 21501 21766 21767 21502 f 21766 22031 22032 21767 f 22031 22296 22297 22032 f 22296 22561 22562 22297 f 22561 22826 22827 22562 f 22826 23091 23092 22827 f 23091 23356 23357 23092 f 23356 23621 23622 23357 f 23621 23886 23887 23622 f 23886 24151 24152 23887 f 24151 24416 24417 24152 f 24416 24681 24682 24417 f 24681 24946 24947 24682 f 24946 25211 25212 24947 f 25211 25476 25477 25212 f 25476 25741 25742 25477 f 25741 26006 26007 25742 f 26006 26271 26272 26007 f 26271 26536 26537 26272 f 26536 26801 26802 26537 f 26801 27066 27067 26802 f 27066 27331 27332 27067 f 27331 27596 27597 27332 f 27596 27861 27862 27597 f 27861 28126 28127 27862 f 28126 28391 28392 28127 f 28391 28656 28657 28392 f 28656 28921 28922 28657 f 28921 29186 29187 28922 f 29186 29451 29452 29187 f 29451 29716 29717 29452 f 29716 29981 29982 29717 f 29981 30246 30247 29982 f 30246 30511 30512 30247 f 30511 30776 30777 30512 f 30776 31041 31042 30777 f 31041 31306 31307 31042 f 31306 31571 31572 31307 f 31571 31836 31837 31572 f 31836 32101 32102 31837 f 5344 5867 5868 5388 f 5867 6132 6133 5868 f 6132 6397 6398 6133 f 6397 6662 6663 6398 f 6662 6927 6928 6663 f 6927 7192 7193 6928 f 7192 7457 7458 7193 f 7457 7722 7723 7458 f 7722 7987 7988 7723 f 7987 8252 8253 7988 f 8252 8517 8518 8253 f 8517 8782 8783 8518 f 8782 9047 9048 8783 f 9047 9312 9313 9048 f 9312 9577 9578 9313 f 9577 9842 9843 9578 f 9842 10107 10108 9843 f 10107 10372 10373 10108 f 10372 10637 10638 10373 f 10637 10902 10903 10638 f 10902 11167 11168 10903 f 11167 11432 11433 11168 f 11432 11697 11698 11433 f 11697 11962 11963 11698 f 11962 12227 12228 11963 f 12227 12492 12493 12228 f 12492 12757 12758 12493 f 12757 13022 13023 12758 f 13022 13287 13288 13023 f 13287 13552 13553 13288 f 13552 13817 13818 13553 f 13817 14082 14083 13818 f 14082 14347 14348 14083 f 14347 14612 14613 14348 f 14612 14877 14878 14613 f 14877 15142 15143 14878 f 15142 15407 15408 15143 f 15407 15672 15673 15408 f 15672 15937 15938 15673 f 15937 16202 16203 15938 f 16202 16467 16468 16203 f 16467 16732 16733 16468 f 16732 16997 16998 16733 f 16997 17262 17263 16998 f 17262 17527 17528 17263 f 17527 17792 17793 17528 f 17792 18057 18058 17793 f 18057 18322 18323 18058 f 18322 18587 18588 18323 f 18587 18852 18853 18588 f 18852 19117 19118 18853 f 19117 19382 19383 19118 f 19382 19647 19648 19383 f 19647 19912 19913 19648 f 19912 20177 20178 19913 f 20177 20442 20443 20178 f 20442 20707 20708 20443 f 20707 20972 20973 20708 f 20972 21237 21238 20973 f 21237 21502 21503 21238 f 21502 21767 21768 21503 f 21767 22032 22033 21768 f 22032 22297 22298 22033 f 22297 22562 22563 22298 f 22562 22827 22828 22563 f 22827 23092 23093 22828 f 23092 23357 23358 23093 f 23357 23622 23623 23358 f 23622 23887 23888 23623 f 23887 24152 24153 23888 f 24152 24417 24418 24153 f 24417 24682 24683 24418 f 24682 24947 24948 24683 f 24947 25212 25213 24948 f 25212 25477 25478 25213 f 25477 25742 25743 25478 f 25742 26007 26008 25743 f 26007 26272 26273 26008 f 26272 26537 26538 26273 f 26537 26802 26803 26538 f 26802 27067 27068 26803 f 27067 27332 27333 27068 f 27332 27597 27598 27333 f 27597 27862 27863 27598 f 27862 28127 28128 27863 f 28127 28392 28393 28128 f 28392 28657 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13024 12759 f 13023 13288 13289 13024 f 13288 13553 13554 13289 f 13553 13818 13819 13554 f 13818 14083 14084 13819 f 14083 14348 14349 14084 f 14348 14613 14614 14349 f 14613 14878 14879 14614 f 14878 15143 15144 14879 f 15143 15408 15409 15144 f 15408 15673 15674 15409 f 15673 15938 15939 15674 f 15938 16203 16204 15939 f 16203 16468 16469 16204 f 16468 16733 16734 16469 f 16733 16998 16999 16734 f 16998 17263 17264 16999 f 17263 17528 17529 17264 f 17528 17793 17794 17529 f 17793 18058 18059 17794 f 18058 18323 18324 18059 f 18323 18588 18589 18324 f 18588 18853 18854 18589 f 18853 19118 19119 18854 f 19118 19383 19384 19119 f 19383 19648 19649 19384 f 19648 19913 19914 19649 f 19913 20178 20179 19914 f 20178 20443 20444 20179 f 20443 20708 20709 20444 f 20708 20973 20974 20709 f 20973 21238 21239 20974 f 21238 21503 21504 21239 f 21503 21768 21769 21504 f 21768 22033 22034 21769 f 22033 22298 22299 22034 f 22298 22563 22564 22299 f 22563 22828 22829 22564 f 22828 23093 23094 22829 f 23093 23358 23359 23094 f 23358 23623 23624 23359 f 23623 23888 23889 23624 f 23888 24153 24154 23889 f 24153 24418 24419 24154 f 24418 24683 24684 24419 f 24683 24948 24949 24684 f 24948 25213 25214 24949 f 25213 25478 25479 25214 f 25478 25743 25744 25479 f 25743 26008 26009 25744 f 26008 26273 26274 26009 f 26273 26538 26539 26274 f 26538 26803 26804 26539 f 26803 27068 27069 26804 f 27068 27333 27334 27069 f 27333 27598 27599 27334 f 27598 27863 27864 27599 f 27863 28128 28129 27864 f 28128 28393 28394 28129 f 28393 28658 28659 28394 f 28658 28923 28924 28659 f 28923 29188 29189 28924 f 29188 29453 29454 29189 f 29453 29718 29719 29454 f 29718 29983 29984 29719 f 29983 30248 30249 29984 f 30248 30513 30514 30249 f 30513 30778 30779 30514 f 30778 31043 31044 30779 f 31043 31308 31309 31044 f 31308 31573 31574 31309 f 31573 31838 31839 31574 f 31838 32103 32104 31839 f 5432 5869 5870 5476 f 5869 6134 6135 5870 f 6134 6399 6400 6135 f 6399 6664 6665 6400 f 6664 6929 6930 6665 f 6929 7194 7195 6930 f 7194 7459 7460 7195 f 7459 7724 7725 7460 f 7724 7989 7990 7725 f 7989 8254 8255 7990 f 8254 8519 8520 8255 f 8519 8784 8785 8520 f 8784 9049 9050 8785 f 9049 9314 9315 9050 f 9314 9579 9580 9315 f 9579 9844 9845 9580 f 9844 10109 10110 9845 f 10109 10374 10375 10110 f 10374 10639 10640 10375 f 10639 10904 10905 10640 f 10904 11169 11170 10905 f 11169 11434 11435 11170 f 11434 11699 11700 11435 f 11699 11964 11965 11700 f 11964 12229 12230 11965 f 12229 12494 12495 12230 f 12494 12759 12760 12495 f 12759 13024 13025 12760 f 13024 13289 13290 13025 f 13289 13554 13555 13290 f 13554 13819 13820 13555 f 13819 14084 14085 13820 f 14084 14349 14350 14085 f 14349 14614 14615 14350 f 14614 14879 14880 14615 f 14879 15144 15145 14880 f 15144 15409 15410 15145 f 15409 15674 15675 15410 f 15674 15939 15940 15675 f 15939 16204 16205 15940 f 16204 16469 16470 16205 f 16469 16734 16735 16470 f 16734 16999 17000 16735 f 16999 17264 17265 17000 f 17264 17529 17530 17265 f 17529 17794 17795 17530 f 17794 18059 18060 17795 f 18059 18324 18325 18060 f 18324 18589 18590 18325 f 18589 18854 18855 18590 f 18854 19119 19120 18855 f 19119 19384 19385 19120 f 19384 19649 19650 19385 f 19649 19914 19915 19650 f 19914 20179 20180 19915 f 20179 20444 20445 20180 f 20444 20709 20710 20445 f 20709 20974 20975 20710 f 20974 21239 21240 20975 f 21239 21504 21505 21240 f 21504 21769 21770 21505 f 21769 22034 22035 21770 f 22034 22299 22300 22035 f 22299 22564 22565 22300 f 22564 22829 22830 22565 f 22829 23094 23095 22830 f 23094 23359 23360 23095 f 23359 23624 23625 23360 f 23624 23889 23890 23625 f 23889 24154 24155 23890 f 24154 24419 24420 24155 f 24419 24684 24685 24420 f 24684 24949 24950 24685 f 24949 25214 25215 24950 f 25214 25479 25480 25215 f 25479 25744 25745 25480 f 25744 26009 26010 25745 f 26009 26274 26275 26010 f 26274 26539 26540 26275 f 26539 26804 26805 26540 f 26804 27069 27070 26805 f 27069 27334 27335 27070 f 27334 27599 27600 27335 f 27599 27864 27865 27600 f 27864 28129 28130 27865 f 28129 28394 28395 28130 f 28394 28659 28660 28395 f 28659 28924 28925 28660 f 28924 29189 29190 28925 f 29189 29454 29455 29190 f 29454 29719 29720 29455 f 29719 29984 29985 29720 f 29984 30249 30250 29985 f 30249 30514 30515 30250 f 30514 30779 30780 30515 f 30779 31044 31045 30780 f 31044 31309 31310 31045 f 31309 31574 31575 31310 f 31574 31839 31840 31575 f 31839 32104 32105 31840 f 5476 5870 5871 5520 f 5870 6135 6136 5871 f 6135 6400 6401 6136 f 6400 6665 6666 6401 f 6665 6930 6931 6666 f 6930 7195 7196 6931 f 7195 7460 7461 7196 f 7460 7725 7726 7461 f 7725 7990 7991 7726 f 7990 8255 8256 7991 f 8255 8520 8521 8256 f 8520 8785 8786 8521 f 8785 9050 9051 8786 f 9050 9315 9316 9051 f 9315 9580 9581 9316 f 9580 9845 9846 9581 f 9845 10110 10111 9846 f 10110 10375 10376 10111 f 10375 10640 10641 10376 f 10640 10905 10906 10641 f 10905 11170 11171 10906 f 11170 11435 11436 11171 f 11435 11700 11701 11436 f 11700 11965 11966 11701 f 11965 12230 12231 11966 f 12230 12495 12496 12231 f 12495 12760 12761 12496 f 12760 13025 13026 12761 f 13025 13290 13291 13026 f 13290 13555 13556 13291 f 13555 13820 13821 13556 f 13820 14085 14086 13821 f 14085 14350 14351 14086 f 14350 14615 14616 14351 f 14615 14880 14881 14616 f 14880 15145 15146 14881 f 15145 15410 15411 15146 f 15410 15675 15676 15411 f 15675 15940 15941 15676 f 15940 16205 16206 15941 f 16205 16470 16471 16206 f 16470 16735 16736 16471 f 16735 17000 17001 16736 f 17000 17265 17266 17001 f 17265 17530 17531 17266 f 17530 17795 17796 17531 f 17795 18060 18061 17796 f 18060 18325 18326 18061 f 18325 18590 18591 18326 f 18590 18855 18856 18591 f 18855 19120 19121 18856 f 19120 19385 19386 19121 f 19385 19650 19651 19386 f 19650 19915 19916 19651 f 19915 20180 20181 19916 f 20180 20445 20446 20181 f 20445 20710 20711 20446 f 20710 20975 20976 20711 f 20975 21240 21241 20976 f 21240 21505 21506 21241 f 21505 21770 21771 21506 f 21770 22035 22036 21771 f 22035 22300 22301 22036 f 22300 22565 22566 22301 f 22565 22830 22831 22566 f 22830 23095 23096 22831 f 23095 23360 23361 23096 f 23360 23625 23626 23361 f 23625 23890 23891 23626 f 23890 24155 24156 23891 f 24155 24420 24421 24156 f 24420 24685 24686 24421 f 24685 24950 24951 24686 f 24950 25215 25216 24951 f 25215 25480 25481 25216 f 25480 25745 25746 25481 f 25745 26010 26011 25746 f 26010 26275 26276 26011 f 26275 26540 26541 26276 f 26540 26805 26806 26541 f 26805 27070 27071 26806 f 27070 27335 27336 27071 f 27335 27600 27601 27336 f 27600 27865 27866 27601 f 27865 28130 28131 27866 f 28130 28395 28396 28131 f 28395 28660 28661 28396 f 28660 28925 28926 28661 f 28925 29190 29191 28926 f 29190 29455 29456 29191 f 29455 29720 29721 29456 f 29720 29985 29986 29721 f 29985 30250 30251 29986 f 30250 30515 30516 30251 f 30515 30780 30781 30516 f 30780 31045 31046 30781 f 31045 31310 31311 31046 f 31310 31575 31576 31311 f 31575 31840 31841 31576 f 31840 32105 32106 31841 f 5520 5871 5872 5564 f 5871 6136 6137 5872 f 6136 6401 6402 6137 f 6401 6666 6667 6402 f 6666 6931 6932 6667 f 6931 7196 7197 6932 f 7196 7461 7462 7197 f 7461 7726 7727 7462 f 7726 7991 7992 7727 f 7991 8256 8257 7992 f 8256 8521 8522 8257 f 8521 8786 8787 8522 f 8786 9051 9052 8787 f 9051 9316 9317 9052 f 9316 9581 9582 9317 f 9581 9846 9847 9582 f 9846 10111 10112 9847 f 10111 10376 10377 10112 f 10376 10641 10642 10377 f 10641 10906 10907 10642 f 10906 11171 11172 10907 f 11171 11436 11437 11172 f 11436 11701 11702 11437 f 11701 11966 11967 11702 f 11966 12231 12232 11967 f 12231 12496 12497 12232 f 12496 12761 12762 12497 f 12761 13026 13027 12762 f 13026 13291 13292 13027 f 13291 13556 13557 13292 f 13556 13821 13822 13557 f 13821 14086 14087 13822 f 14086 14351 14352 14087 f 14351 14616 14617 14352 f 14616 14881 14882 14617 f 14881 15146 15147 14882 f 15146 15411 15412 15147 f 15411 15676 15677 15412 f 15676 15941 15942 15677 f 15941 16206 16207 15942 f 16206 16471 16472 16207 f 16471 16736 16737 16472 f 16736 17001 17002 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27071 27336 27337 27072 f 27336 27601 27602 27337 f 27601 27866 27867 27602 f 27866 28131 28132 27867 f 28131 28396 28397 28132 f 28396 28661 28662 28397 f 28661 28926 28927 28662 f 28926 29191 29192 28927 f 29191 29456 29457 29192 f 29456 29721 29722 29457 f 29721 29986 29987 29722 f 29986 30251 30252 29987 f 30251 30516 30517 30252 f 30516 30781 30782 30517 f 30781 31046 31047 30782 f 31046 31311 31312 31047 f 31311 31576 31577 31312 f 31576 31841 31842 31577 f 31841 32106 32107 31842 f 32108 32208 32209 32109 f 32208 32308 32309 32209 f 32308 32408 32409 32309 f 32408 32508 32509 32409 f 32508 32608 32609 32509 f 32608 32708 32709 32609 f 32708 32808 32809 32709 f 32808 32908 32909 32809 f 32908 33008 33009 32909 f 33008 33108 33109 33009 f 33108 33208 33209 33109 f 33208 33308 33309 33209 f 33308 33408 33409 33309 f 33408 33508 33509 33409 f 33508 33608 33609 33509 f 33608 33708 33709 33609 f 33708 33808 33809 33709 f 33808 33908 33909 33809 f 33908 34008 34009 33909 f 34008 34108 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30518 30253 f 56007 56107 30783 30518 f 56107 56207 31048 30783 f 56207 56307 31313 31048 f 56307 56407 31578 31313 f 56407 56507 31843 31578 ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/airfoil.OpenFOAM ================================================ ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/constant/transportProperties ================================================ /*--------------------------------*- C++ -*----------------------------------*\ | ========= | | | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox | | \\ / O peration | Version: 5 | | \\ / A nd | Web: www.OpenFOAM.org | | \\/ M anipulation | | \*---------------------------------------------------------------------------*/ FoamFile { version 2.0; format ascii; class dictionary; location "constant"; object transportProperties; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // transportModel Newtonian; rho [1 -3 0 0 0 0 0] 1; nu [0 2 -1 0 0 0 0] 1e-05; // ************************************************************************* // ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/constant/turbulenceProperties ================================================ /*--------------------------------*- C++ -*----------------------------------*\ | ========= | | | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox | | \\ / O peration | Version: 5 | | \\ / A nd | Web: www.OpenFOAM.org | | \\/ M anipulation | | \*---------------------------------------------------------------------------*/ FoamFile { version 2.0; format ascii; class dictionary; location "constant"; object turbulenceProperties; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // simulationType RAS; RAS { //RASModel SpalartAllmaras; //RASModel kEpsilon; //RASModel kOmega; RASModel kOmegaSST; turbulence on; printCoeffs on; } // ************************************************************************* // ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/system/controlDict ================================================ /*--------------------------------*- C++ -*----------------------------------*\ | ========= | | | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox | | \\ / O peration | Version: 5 | | \\ / A nd | Web: www.OpenFOAM.org | | \\/ M anipulation | | \*---------------------------------------------------------------------------*/ FoamFile { version 2.0; format ascii; class dictionary; location "system"; object controlDict; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // application simpleFoam; startFrom latestTime; startTime 0; stopAt endTime; endTime 10000; deltaT 1; writeControl timeStep; writeInterval 100; purgeWrite 3; writeFormat ascii; writePrecision 6; writeCompression off; timeFormat general; timePrecision 6; runTimeModifiable true; functions { forceCoeffs // aerodynamic force coefficients { type forceCoeffs; functionObjectLibs ("libforces.so"); patches (airfoil); rho rhoInf; rhoInf 1; // reference fluid density CofR (0.25 0 0); // changes due to AOA, but no influence on Cl and Cd liftDir (0 1 0); // vertical dragDir (1 0 0); // horizontal pitchAxis (0 0 1); // in-plane magUInf 29.6; // reference fluid velocity lRef 1; // reference length (chord) Aref 1; // reference area (chord * span; for 2D: chord * z-coord.) // (no influence on Cl and Cd) // https://www.cfd-online.com/Forums/openfoam/85764-forces-what-maguinf-lref-aref.html } wingPressure // pressure distribution around airfoil { type surfaceFieldValue; libs ("libfieldFunctionObjects.so"); enabled yes; writeControl writeTime; log yes; writeFields yes; regionType patch; name airfoil; operation none; surfaceFormat raw; fields ( p ); } }; // ************************************************************************* // ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/system/createPatchDict ================================================ /*--------------------------------*- C++ -*----------------------------------*\ ========= | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox \\ / O peration | Website: https://openfoam.org \\ / A nd | Version: 9 \\/ M anipulation | \*---------------------------------------------------------------------------*/ FoamFile { format ascii; class dictionary; object createPatchDict; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // pointSync false; patches ( { name inletOutlet; patchInfo { type patch; } constructFrom set; set inletOutlet; } { name airfoil; patchInfo { type wall; } constructFrom set; set airfoil; } { name frontAndBack; patchInfo { type empty; } constructFrom patches; patches ("empty"); } ); // ************************************************************************* // ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/system/extrudeMeshDict ================================================ /*--------------------------------*- C++ -*----------------------------------*\ ========= | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox \\ / O peration | Website: https://openfoam.org \\ / A nd | Version: 9 \\/ M anipulation | \*---------------------------------------------------------------------------*/ FoamFile { format ascii; class dictionary; object extrudeMeshDict; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // constructFrom surface;//patch; /* patch: patch of sourceCase mesh: patch of sourceCase, retaining original mesh surface: surface geometry file */ sourceCase "$FOAM_CASE"; // uses current case; can be a separate case //sourcePatches (front); surface "S809.obj"; // constructFrom surface // constructFrom patch: name of exposed "original" patch exposedPatchName back; flipNormals false; extrudeModel plane; /* linearNormal: linear extrusion in point-normal direction plane: single-layer, point-normal extrusion with empty type (2D) linearDirection: linear extrusion in specified direction wedge: single-layer, wedge extrusion with wedge type (axisymmetric) sector: sector extrusion about specified axis linearRadial: linear extrusion in radial direction radial: linear extrusion in radial direction with multiple radii */ thickness 0.5; // used by plane extrusion nLayers 1; expansionRatio 1.0; // Merge front and back patches, typically for 360 deg wedge extrusion mergeFaces false; mergeTol 0; linearNormalCoeffs { thickness 1; } linearDirectionCoeffs { direction (0 1 0); thickness 0.5; } sectorCoeffs // used by sector and wedge extrusion { axisPt (0 0 0); axis (1 0 0); angle 360; } linearRadialCoeffs { R 0.5; Rsurface 0.1; } radialCoeffs { R table ((0 0.01) (3 0.03) (10 0.1)); } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/system/fvSchemes ================================================ /*--------------------------------*- C++ -*----------------------------------*\ | ========= | | | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox | | \\ / O peration | Version: 5 | | \\ / A nd | Web: www.OpenFOAM.org | | \\/ M anipulation | | \*---------------------------------------------------------------------------*/ FoamFile { version 2.0; format ascii; class dictionary; location "system"; object fvSchemes; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // ddtSchemes { default steadyState; } gradSchemes { default Gauss linear; limited cellLimited Gauss linear 1; grad(U) $limited; grad(k) $limited; grad(omega) $limited; } divSchemes { default none; div(phi,U) bounded Gauss limitedLinear 1; div(phi,nuTilda) bounded Gauss limitedLinear 1; div((nuEff*dev2(T(grad(U))))) Gauss linear; div(phi,epsilon) bounded Gauss limitedLinear 1; div(phi,k) bounded Gauss limitedLinear 1; div(phi,omega) bounded Gauss limitedLinear 1; } laplacianSchemes { default Gauss linear corrected; } interpolationSchemes { default linear; } snGradSchemes { default corrected; } wallDist { method meshWave; } // ************************************************************************* // ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/system/fvSolution ================================================ /*--------------------------------*- C++ -*----------------------------------*\ | ========= | | | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox | | \\ / O peration | Version: 5 | | \\ / A nd | Web: www.OpenFOAM.org | | \\/ M anipulation | | \*---------------------------------------------------------------------------*/ FoamFile { version 2.0; format ascii; class dictionary; location "system"; object fvSolution; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // solvers { p { solver GAMG; tolerance 1e-06; relTol 0.1; smoother GaussSeidel; } U { solver smoothSolver; smoother GaussSeidel; nSweeps 2; tolerance 1e-08; relTol 0.1; } "(epsilon|k|omega)" { solver smoothSolver; smoother GaussSeidel; nSweeps 2; tolerance 1e-08; relTol 0.01; } Phi { solver GAMG; smoother DIC; tolerance 1e-06; relTol 0.01; } } SIMPLE { nNonOrthogonalCorrectors 2; pRefCell 0; pRefValue 0; consistent yes; residualControl { p 1e-5; U 1e-5; epsilon 1e-5; k 1e-5; omega 1e-05; } } potentialFlow { nNonOrthogonalCorrectors 10; } relaxationFactors { fields { p 0.3; } equations { U 0.7; epsilon 0.7; k 0.7; omega 0.7; } } // ************************************************************************* // ================================================ FILE: data/Examples/OpenFOAM9/airfoil_S809/system/topoSetDict ================================================ /*--------------------------------*- C++ -*----------------------------------*\ ========= | \\ / F ield | OpenFOAM: The Open Source CFD Toolbox \\ / O peration | Website: https://openfoam.org \\ / A nd | Version: 9 \\/ M anipulation | \*---------------------------------------------------------------------------*/ FoamFile { format ascii; class dictionary; object topoSetDict; } // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * // actions ( { action new; type faceSet; name allPatch; source patchToFace; sourceInfo { name sides; } } { action new; type faceSet; name airfoil; source faceToFace; sourceInfo { set allPatch; } } { action subset; type faceSet; name airfoil; source boxToFace; sourceInfo { boxes ((-0.5 -0.5 -100)(1.5 0.5 100)); } } { action new; type faceSet; name inletOutlet; source faceToFace; sourceInfo { set allPatch; } } { action delete; type faceSet; name inletOutlet; source faceToFace; sourceInfo { set airfoil; } } ); ************************************************************************* // ================================================ FILE: data/Menus/PMenu.xml ================================================ ================================================ FILE: data/Menus/PToolBar.xml ================================================ ================================================ FILE: docs/CFD_boundary_conditions.rst ================================================ .. make a label for this file .. _CFD_bnd: CFD_boundary_conditions ======================= ================================================ FILE: docs/GUI.inc ================================================ Working with the User Interface ------------------------------- ================================================ FILE: docs/GUI_modification.rst ================================================ Modify and extend GUI Functionality =================================== ================================================ FILE: docs/Makefile ================================================ # Makefile for 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================================================ FILE: docs/aerodynamics_panel.rst ================================================ .. make a label for this file .. _aero_panel: Aerodynamics (panel code) ========================= For fast lift coefficient calculations a panel method has been implemented. The code is based on an open source software developed by the `Barba group `_. The codes in `Aeropython `_ are part of a series of lessons of a university course. The specific module used here is based on a vortex-source panel method (code in `module 4 `_). .. _figure_aeropython: .. figure:: images/AeroPython_settings.png :align: center :scale: 50% :target: _images/AeroPython_settings.png :name: AeroPython_settings Settings for the panel method. Clicking on :guilabel:`Calulate lift coefficient` will calculate the lift coefficient for the current configuration. The code runs very fast and is not influenced much by the number of panels. The code is using its own paneling method. Paneling is either based on the airfoil raw data or on the splined contour data (if available). A too high number of panels may lead to convergence issues. A typical result/output of the method is shown below (the information is displayed in the message window): :code:`INFO - Aerodynamic properties of Makarov KPS Long Root:` :code:`INFO - Cl = 1.268 [-] at Uinf = 5.000 [m/s], and AOA = 3.000 [degree]` :title-reference:`Barba, Lorena A., and Mesnard, Olivier (2019). Aero Python: classical aerodynamics of potential flow using Python. Journal of Open Source Education, 2(15), 45, https://doi.org/10.21105/jose.00045` ================================================ FILE: docs/batchmode.rst ================================================ .. make a label for this file .. _batchmode: Batch mode (run from command line) ================================== In order to be able to automate the mesh generation process, a batch utility is available. This allows to run the mesh generation on a large number of airfoils. A batch control file is used to specify the airfoils to be processed. The batch control file is a text file which contains the following information: * Airfoils which should be meshed * Settings to be used for the mesher * Output formats in which the mesh(es) should be written The command used to launch the batch processing is: :code:`python src/PyAero.py -no-gui data/Batch/batch_control.json` The batch control file can be located in an arbitrary folder and have any name. It just has to have the same format as the example file of the installation, see :file:`data/Batch/batch_control.json`. ================================================ FILE: docs/conf.py ================================================ # -*- coding: utf-8 -*- # # Configuration file for the Sphinx documentation builder. # # This file does only contain a selection of the most common options. For a # full list see the documentation: # http://www.sphinx-doc.org/en/master/config # -- Path setup -------------------------------------------------------------- # If extensions (or modules to document with autodoc) are in another directory, # add these directories to sys.path here. If the directory is relative to the # documentation root, use os.path.abspath to make it absolute, like shown here. # import datetime from pathlib import Path import re import sys year = str(datetime.date.today().strftime("%Y")) DOCS_DIR = Path(__file__).resolve().parent PROJECT_ROOT = DOCS_DIR.parent sys.path.insert(0, str(PROJECT_ROOT / 'src')) # -- Project information ----------------------------------------------------- project = 'PyAero' copyright = year + ', Andreas Ennemoser' author = 'Andreas Ennemoser' VERSION_FILE = PROJECT_ROOT / 'src' / 'PyAero.py' VERSION_PATTERN = re.compile( r"^__version__\s*=\s*['\"]([^'\"]+)['\"]", re.MULTILINE, ) version_match = VERSION_PATTERN.search(VERSION_FILE.read_text(encoding='utf-8')) if version_match is None: raise RuntimeError(f'Unable to determine version from {VERSION_FILE}') version = version_match.group(1) # The short X.Y version # version = '2.1.5' # The full version, including alpha/beta/rc tags release = 'v' + version # -- General configuration --------------------------------------------------- # If your documentation needs a minimal Sphinx version, state it here. # # needs_sphinx = '1.0' # Add any Sphinx extension module names here, as strings. They can be # extensions coming with Sphinx (named 'sphinx.ext.*') or your custom # ones. extensions = [ 'sphinx.ext.mathjax', 'sphinx.ext.viewcode', ] # Add any paths that contain templates here, relative to this directory. templates_path = ['_templates'] # The suffix(es) of source filenames. # You can specify multiple suffix as a list of string: # # source_suffix = ['.rst', '.md'] source_suffix = '.rst' # The master toctree document. master_doc = 'index' # The language for content autogenerated by Sphinx. Refer to documentation # for a list of supported languages. # # This is also used if you do content translation via gettext catalogs. # Usually you set "language" from the command line for these cases. language = None # List of patterns, relative to source directory, that match files and # directories to ignore when looking for source files. # This pattern also affects html_static_path and html_extra_path. exclude_patterns = ['_build', 'Thumbs.db', '.DS_Store'] # The name of the Pygments (syntax highlighting) style to use. pygments_style = None # -- Options for HTML output ------------------------------------------------- # The theme to use for HTML and HTML Help pages. See the documentation for # a list of builtin themes. # html_theme = 'sphinx_rtd_theme' # Theme options are theme-specific and customize the look and feel of a theme # further. For a list of options available for each theme, see the # documentation. # # html_theme_options = {} # Add any paths that contain custom static files (such as style sheets) here, # relative to this directory. They are copied after the builtin static files, # so a file named "default.css" will overwrite the builtin "default.css". html_static_path = ['_static'] # Custom sidebar templates, must be a dictionary that maps document names # to template names. # # The default sidebars (for documents that don't match any pattern) are # defined by theme itself. Builtin themes are using these templates by # default: ``['localtoc.html', 'relations.html', 'sourcelink.html', # 'searchbox.html']``. # # html_sidebars = {} # -- Options for HTMLHelp output --------------------------------------------- # Output file base name for HTML help builder. htmlhelp_basename = 'PyAerodoc' # -- Options for LaTeX output ------------------------------------------------ latex_elements = { # The paper size ('letterpaper' or 'a4paper'). # # 'papersize': 'letterpaper', # The font size ('10pt', '11pt' or '12pt'). # # 'pointsize': '10pt', # Additional stuff for the LaTeX preamble. # # 'preamble': '', # Latex figure (float) alignment # # 'figure_align': 'htbp', } # Grouping the document tree into LaTeX files. List of tuples # (source start file, target name, title, # author, documentclass [howto, manual, or own class]). latex_documents = [ (master_doc, 'PyAero.tex', 'PyAero Documentation', 'Andreas Ennemoser', 'manual'), ] # -- Options for manual page output ------------------------------------------ # One entry per manual page. List of tuples # (source start file, name, description, authors, manual section). man_pages = [ (master_doc, 'pyaero', 'PyAero Documentation', [author], 1) ] # -- Options for Texinfo output ---------------------------------------------- # Grouping the document tree into Texinfo files. List of tuples # (source start file, target name, title, author, # dir menu entry, description, category) texinfo_documents = [ (master_doc, 'PyAero', 'PyAero Documentation', author, 'PyAero', 'One line description of project.', 'Miscellaneous'), ] # -- Options for Epub output ------------------------------------------------- # Bibliographic Dublin Core info. epub_title = project # The unique identifier of the text. This can be a ISBN number # or the project homepage. # # epub_identifier = '' # A unique identification for the text. # # epub_uid = '' # A list of files that should not be packed into the epub file. epub_exclude_files = ['search.html'] # -- Extension configuration ------------------------------------------------- ================================================ FILE: docs/conf.py_SAVE ================================================ # -*- coding: utf-8 -*- # # PyAERO documentation build configuration file, created by # sphinx-quickstart on Sun Oct 02 22:20:19 2016. # # This file is execfile()d with the current directory set to its # containing dir. # # Note that not all possible configuration values are present in this # autogenerated file. # # All configuration values have a default; values that are commented out # serve to show the default. # this allows to use the readthedocs theme also locally import sphinx_rtd_theme # If extensions (or modules to document with autodoc) are in another directory, # add these directories to sys.path here. If the directory is relative to the # documentation root, use os.path.abspath to make it absolute, like shown here. # import os import sys sys.path.insert(0, os.path.abspath('.')) # -- General configuration ------------------------------------------------ # If your documentation needs a minimal Sphinx version, state it here. # # needs_sphinx = '1.0' # Add any Sphinx extension module names here, as strings. They can be # extensions coming with Sphinx (named 'sphinx.ext.*') or your custom # ones. extensions = [ 'sphinx.ext.mathjax', ] # Add any paths that contain templates here, relative to this directory. templates_path = ['_templates'] # The suffix(es) of source filenames. # You can specify multiple suffix as a list of string: # # source_suffix = ['.rst', '.md'] source_suffix = '.rst' # The encoding of source files. # # source_encoding = 'utf-8-sig' # The master toctree document. master_doc = 'index' # General information about the project. project = u'PyAero' copyright = u'2014-2019, Andreas Ennemoser' author = u'Andreas Ennemoser' # The version info for the project you're documenting, acts as replacement for # |version| and |release|, also used in various other places throughout the # built documents. # # The short X.Y version. version = u'1.1' # The full version, including alpha/beta/rc tags. release = u'1.1.0' # The language for content autogenerated by Sphinx. Refer to documentation # for a list of supported languages. # # This is also used if you do content translation via gettext catalogs. # Usually you set "language" from the command line for these cases. language = None # There are two options for replacing |today|: either, you set today to some # non-false value, then it is used: # # today = '' # # Else, today_fmt is used as the format for a strftime call. # # today_fmt = '%B %d, %Y' # List of patterns, relative to source directory, that match files and # directories to ignore when looking for source files. # This patterns also effect to html_static_path and html_extra_path exclude_patterns = ['_build', 'Thumbs.db', '.DS_Store'] # The reST default role (used for this markup: `text`) to use for all # documents. # # default_role = None # If true, '()' will be appended to :func: etc. cross-reference text. # # add_function_parentheses = True # If true, the current module name will be prepended to all description # unit titles (such as .. function::). # # add_module_names = True # If true, sectionauthor and moduleauthor directives will be shown in the # output. They are ignored by default. # show_authors = False # The name of the Pygments (syntax highlighting) style to use. pygments_style = 'sphinx' # A list of ignored prefixes for module index sorting. # modindex_common_prefix = [] # If true, keep warnings as "system message" paragraphs in the built documents. # keep_warnings = False # If true, `todo` and `todoList` produce output, else they produce nothing. todo_include_todos = False # -- Options for HTML output ---------------------------------------------- # The theme to use for HTML and HTML Help pages. See the documentation for # a list of builtin themes. # # html_theme = 'default' html_theme = "sphinx_rtd_theme" html_theme_path = [sphinx_rtd_theme.get_html_theme_path()] # Theme options are theme-specific and customize the look and feel of a theme # further. For a list of options available for each theme, see the # documentation. # # html_theme_options = {} # Add any paths that contain custom themes here, relative to this directory. # html_theme_path = [] # The name for this set of Sphinx documents. # " v documentation" by default. # # html_title = u'PyAERO v1.0' # A shorter title for the navigation bar. Default is the same as html_title. # # html_short_title = None # The name of an image file (relative to this directory) to place at the top # of the sidebar. # # html_logo = None # The name of an image file (relative to this directory) to use as a favicon of # the docs. This file should be a Windows icon file (.ico) being 16x16 or 32x32 # pixels large. # # html_favicon = None # Add any paths that contain custom static files (such as style sheets) here, # relative to this directory. They are copied after the builtin static files, # so a file named "default.css" will overwrite the builtin "default.css". html_static_path = ['_static'] # Add any extra paths that contain custom files (such as robots.txt or # .htaccess) here, relative to this directory. These files are copied # directly to the root of the documentation. # # html_extra_path = [] # If not None, a 'Last updated on:' timestamp is inserted at every page # bottom, using the given strftime format. # The empty string is equivalent to '%b %d, %Y'. # # html_last_updated_fmt = None # If true, SmartyPants will be used to convert quotes and dashes to # typographically correct entities. # # html_use_smartypants = True # Custom sidebar templates, maps document names to template names. # # html_sidebars = {} # Additional templates that should be rendered to pages, maps page names to # template names. # # html_additional_pages = {} # If false, no module index is generated. # # html_domain_indices = True # If false, no index is generated. # # html_use_index = True # If true, the index is split into individual pages for each letter. # # html_split_index = False # If true, links to the reST sources are added to the pages. # # html_show_sourcelink = True # If true, "Created using Sphinx" is shown in the HTML footer. Default is True. # # html_show_sphinx = True # If true, "(C) Copyright ..." is shown in the HTML footer. Default is True. # # html_show_copyright = True # If true, an OpenSearch description file will be output, and all pages will # contain a tag referring to it. The value of this option must be the # base URL from which the finished HTML is served. # # html_use_opensearch = '' # This is the file name suffix for HTML files (e.g. ".xhtml"). # html_file_suffix = None # Language to be used for generating the HTML full-text search index. # Sphinx supports the following languages: # 'da', 'de', 'en', 'es', 'fi', 'fr', 'hu', 'it', 'ja' # 'nl', 'no', 'pt', 'ro', 'ru', 'sv', 'tr', 'zh' # # html_search_language = 'en' # A dictionary with options for the search language support, empty by default. # 'ja' uses this config value. # 'zh' user can custom change `jieba` dictionary path. # # html_search_options = {'type': 'default'} # The name of a javascript file (relative to the configuration directory) that # implements a search results scorer. If empty, the default will be used. # # html_search_scorer = 'scorer.js' # Output file base name for HTML help builder. htmlhelp_basename = 'PyAeroDoc' # -- Options for LaTeX output --------------------------------------------- latex_elements = { # The paper size ('letterpaper' or 'a4paper'). # # 'papersize': 'letterpaper', # The font size ('10pt', '11pt' or '12pt'). # # 'pointsize': '10pt', # Additional stuff for the LaTeX preamble. # # 'preamble': '', # Latex figure (float) alignment # # 'figure_align': 'htbp', } # Grouping the document tree into LaTeX files. List of tuples # (source start file, target name, title, # author, documentclass [howto, manual, or own class]). latex_documents = [ (master_doc, 'PyAero.tex', u'PyAero Documentation', u'Andreas Ennemoser', 'manual'), ] # The name of an image file (relative to this directory) to place at the top of # the title page. # # latex_logo = None # For "manual" documents, if this is true, then toplevel headings are parts, # not chapters. # # latex_use_parts = False # If true, show page references after internal links. # # latex_show_pagerefs = False # If true, show URL addresses after external links. # # latex_show_urls = False # Documents to append as an appendix to all manuals. # # latex_appendices = [] # It false, will not define \strong, \code, itleref, \crossref ... but only # \sphinxstrong, ..., \sphinxtitleref, ... To help avoid clash with user added # packages. # # latex_keep_old_macro_names = True # If false, no module index is generated. # # latex_domain_indices = True # -- Options for manual page output --------------------------------------- # One entry per manual page. List of tuples # (source start file, name, description, authors, manual section). man_pages = [ (master_doc, 'pyaero', u'PyAero Documentation', [author], 1) ] # If true, show URL addresses after external links. # # man_show_urls = False # -- Options for Texinfo output ------------------------------------------- # Grouping the document tree into Texinfo files. List of tuples # (source start file, target name, title, author, # dir menu entry, description, category) texinfo_documents = [ (master_doc, 'PyAero', u'PyAERO Documentation', author, 'PyAero', 'One line description of project.', 'Miscellaneous'), ] # Documents to append as an appendix to all manuals. # # texinfo_appendices = [] # If false, no module index is generated. # # texinfo_domain_indices = True # How to display URL addresses: 'footnote', 'no', or 'inline'. # # texinfo_show_urls = 'footnote' # If true, do not generate a @detailmenu in the "Top" node's menu. # # texinfo_no_detailmenu = False ================================================ FILE: docs/contour_analysis.rst ================================================ Contour Analysis ================ ================================================ FILE: docs/dependencies.rst ================================================ Dependencies ============ - `Python 3 `_ - `Qt for Python `_ (PySide6) - `Numpy `_ - `Scipy `_ - `meshio `_ ================================================ FILE: docs/index.rst ================================================ .. |br| raw:: html
.. important:: The documentation is not yet finished, but should be good enough to make meshes. ******************** PyAero documentation ******************** PyAero is an airfoil contour analysis and CFD meshing tool written in Python. |br| PyAero is open-source and distributed under the MIT license, see `LICENSE `_. |br| .. figure:: images/SD7003_velocity_AOA6.png :align: center :target: _images/SD7003_velocity_AOA6.png :name: GUI PyAero generated mesh (Solver: `SU2 `_, Visualization: `ParaView `_) .. figure:: images/gui_airfoil_MAC.png :align: center :target: _images/gui_airfoil_MAC.png :name: GUI PyAero user interface at a glance .. figure:: images/LE_mesh.png :align: center :target: _images/LE_mesh.png :name: Mesh_HN1033_LE Example mesh around HN1033 airfoil - Leading Edge .. figure:: images/TE_mesh.png :align: center :target: _images/TE_mesh.png :name: Mesh_HN1033_TE Example mesh around HN1033 airfoil - Trailing Edge (with finite thickness) .. figure:: images/mesh2.png :align: center :target: _images/mesh2.png :name: Mesh_HN1033 Example mesh around HN1033 airfoil .. figure:: movies/RG14_3D_laminar_Iso-Q_pressure.gif :align: center :target: _movies/RG14_3D_laminar_Iso-Q_pressure.gif :name: RG14_3D_laminar_Iso-Q_pressure Example calculation result Above analysis result was obtained using the CFD code AVL-FIRE. It is an unsteady laminar 3D calculation of the RG14 airfoil. The mesh was thickened with several layers in spanwise direction in order to allow for turbulent fluctuations in all three dimensions. The calculation result shown is based on pure laminar settings (i.e. no turbulence model switched on). Later (result not shown) a LES calculation using the Kobayashi SGS model was done. With the applied mesh resolution both approaches lead to quite similar results. .. csv-table:: Aerodynamic coefficients, RG14 airfoil, RE=330000, AOA 2°, 20 million cells :header-rows: 1 :widths: 14, 12, 12 :align: center "Model", "Drag", "Lift" "Laminar", 0.0079, 0.371 "LES", 0.0078, 0.362 **Features** - Load and display airfoil contour files - Airfoil splining and refining - Prepare contour for meshing - Splining is done to get a smooth contour and sufficient contour points - Refining allows to improve leading and trailing edge resolution - Airfoil contour analysis - Analyze gradient, curvature, and curvature circle at the leading edge, i.e. leadinge edge radius - Trailing edge generation - Specification of the trailing edge thickness (blunt trailing edge) - Smart blending functions (arbitrary polynomial) - Independent blending for upper and lower contour (e.g. for strong cambered airfoils) - Automatic generation of block-strcuctured meshes for airfoils - Currently only single element C-type meshes are supported - Mesh control - Boundary layer region - Wake region - Windtunnel - Mesh export (most formats based on the `meshio `_ library) - `AVL FIRE `_ (*.flma) - `SU2 `_ (*.su2) - `GMSH `_ (*.msh) - `VTK `_ (.vtk) - `CGNS `_ (.cgns) - `ABAQUS `_ (.inp) - Simple aerodynamic analysis, i.e. panel methods - `AeroPython `_ **Quick start guide** Follow the :ref:`quickstart` tutorial to get a first impression of the key functionality. **Code repository** The code ist hosted on GitHub: `PyAero source code `_ .. toctree:: :caption: Table of Contents :numbered: :maxdepth: 2 :hidden: introduction quickstart ui_GUI load spline_refine trailing_edge meshing batchmode CFD_boundary_conditions aerodynamics_panel contour_analysis settings GUI_modification dependencies license ================================================ FILE: docs/introduction.rst ================================================ Introduction ============ `PyAero `_ is an open-source airfoil contour analysis and CFD meshing tool. The main intention of writing the software was to make an easy to use tool for 2D airfoil meshing. Meshes generated by `PyAero `_ are intended to be used in subsequent CFD analysis. `PyAero `_, at least at the moment, does not do the CFD calculation itself. At a later stage it might be possible that `PyAero `_ will be interfaced (i.e. export meshes in the respective format(s)) with existing open source CFD methods like `SU2 `_ or similar. As an initial step towards aerodynamic calculations, a panel method from `AeroPython `_ (©2014 Lorena A. Barba, Olivier Mesnard) has been implemented. Airfoil contours (at least legacy airfoils) often are described through a limited number of points (approx. 60 points). When meshing such contours, if not interpolated by splines, the resulting mesh and numerical solutions based on it would end up with artefacts. These would deteriorate the quality of the analysis results. Therefore, in addition to the mesh generation module, some additional features have been implemented. These features are intended to be able to analyze and improve the airfoil contour. The improvement process is supported by point insertion and spline interpolation techniques. First and second derivatives of the contour allow for control of the contour as well as curvature smoothness. To reflect *real* shapes, an option for creating a trailing edge and blending it to the contour is implemented. The following figures show an example mesh for the airfoil **RAE2822** and a magnification of leading edge and trailing edge sections. .. _figure_mesh_RAE2822: .. figure:: images/mesh_RAE2822_MAC.png :align: center :target: _images/mesh_RAE2822_MAC.png :name: mesh_RAE2822_753x288 Mesh around **RAE2822** airfoil .. _figure_LE_mesh_RAE2822: .. figure:: images/LE_mesh_RAE2822_MAC.png :align: center :target: _images/LE_mesh_RAE2822_MAC.png :name: LE_mesh_RAE2822 Leading edge mesh view of **RAE2822** airfoil .. _figure_TE_mesh_RAE2822: .. figure:: images/TE_mesh_RAE2822_MAC.png :align: center :target: _images/TE_mesh_RAE2822_MAC.png :name: TE_mesh_RAE2822 Trailing edge mesh view of **RAE2822** airfoil ================================================ FILE: docs/license.rst ================================================ License ======= The MIT License (MIT) Copyright (c) 2022 Andreas Ennemoser Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. ================================================ FILE: docs/load.rst ================================================ .. make a label for this file .. _loading_airfoils: .. |right_Arrow| unicode:: U+025BA .. BLACK RIGHT-POINTING POINTER .. |right_medium_Arrow| unicode:: U+023F5 .. BLACK MEDIUM RIGHT-POINTING TRIANGLE .. |down_right_Arrow| unicode:: U+021B3 .. DOWNWARDS ARROW WITH TIP RIGHTWARDS Loading Airfoils ================ Loading airfoils can be done in different ways. Load via menu :guilabel:`Open` ------------------------------ The :menuselection:`File --> Open` menu is the standard way to load airfoil contour data. The shortcut assigned to this menu is :kbd:`CTRL-o`. When clicking this menu or applying the respective shortcut, a file dialog pops up. It allows to select files or browse directories. .. _figure_menu_open: .. figure:: images/menu_open.png :align: center :target: _images/menu_open.png :name: MenuOpen *Open* menu to load an airfoil contour via the file browser Load via the inline file browser -------------------------------- As outlined above there are more ways to load airfoils. A very handy way to browse airfoils is to use the implemented file browser. This browser is restricted in terms of navigation. Only files and folders below a predefined root path are visible. The default root is the :file:`data/Airfoils` subfolder from the standard installation. The root path for airfoils can be changed by the user in the file :file:`src/Settings.py` by changing the value of the variable :code:`AIRFOILDATA`. The file browser is located in the toolbox on the left side of the application. It is the uppermost tab in the toolbox area. .. _figure_toolbox_area: .. figure:: images/toolbox_area_1_NEW.png :align: center :width: 60% :target: _images/toolbox_area_1_NEW.png :name: Toolbar_Open File browser integrated in the *Toolbox*. .. seealso:: For more information on configuring the root path to airfoil data see :ref:`tutorial_settings`. Load via the *Toolbar* ---------------------- Another way to open the file dialog is to click on the :menuselection:`Open` icon in the toolbar. The toolbar consists of a row of icons just below the menu bar. The toolbar and its icons can be customized by editing the file :file:`data/PToolBar.xml`. .. _figure_toolbar_open: .. figure:: images/toolbar_open.png :align: center :target: _images/toolbar_open.png :name: Toolbar_Open Toolbar icon to load an airfoil contour via the file browser .. seealso:: For more information on configuring the menubar and the toolbar see :ref:`tutorial_settings`. Load a predefined airfoil ------------------------- For testing purposes a predefined airfoil can be loaded without the need of a file dialog. The airfoil which is predefined can be configured. .. _figure_toolbar_open_predefined: .. figure:: images/toolbar_open_predefined.png :align: center :target: _images/toolbar_open_predefined.png :name: Toolbar_Open Toolbar icon to load a predefined airfoil contour .. seealso:: See tutorial :ref:`tutorial_settings` on how to change the default airfoil. Load via drag and drop ---------------------- Last but not least, one or more airfoil(s) can be loaded via drag and drop. Just drag a couple of files, e.g. from the Explorer (Windows) or Finder (MacOS), to the graphics window. All files will be loaded, but only one file will be displayed. All the other files are shown (and can be activated by double-clicking on the name) in the toolbox area. .. _figure_drag_and_drop: .. figure:: images/Drag_and_drop.gif :align: center :target: _images/Drag_and_drop.gif :name: Load_drag_and_drop Load multiple contours via drag and drop ================================================ FILE: docs/make.bat ================================================ @ECHO OFF REM Command file for Sphinx documentation if "%SPHINXBUILD%" == "" ( set SPHINXBUILD=sphinx-build ) set BUILDDIR=_build set ALLSPHINXOPTS=-d %BUILDDIR%/doctrees %SPHINXOPTS% . set I18NSPHINXOPTS=%SPHINXOPTS% . if NOT "%PAPER%" == "" ( set ALLSPHINXOPTS=-D latex_paper_size=%PAPER% %ALLSPHINXOPTS% set I18NSPHINXOPTS=-D latex_paper_size=%PAPER% %I18NSPHINXOPTS% ) if "%1" == "" goto help if "%1" == "help" ( :help echo.Please use `make ^` where ^ is one of echo. html to make standalone HTML files echo. dirhtml to make HTML files named index.html in directories echo. singlehtml to make a single large HTML file echo. pickle to make pickle files echo. json to make JSON files echo. htmlhelp to make HTML files and a HTML help project echo. qthelp to make HTML files and a qthelp project echo. devhelp to make HTML files and a Devhelp project echo. epub to make an epub echo. epub3 to make an epub3 echo. latex to make LaTeX files, you can set PAPER=a4 or PAPER=letter echo. text to make text files echo. man to make manual pages echo. texinfo to make Texinfo files echo. gettext to make PO message catalogs echo. changes to make an overview over all changed/added/deprecated items echo. xml to make Docutils-native XML files echo. pseudoxml to make pseudoxml-XML files for display purposes echo. linkcheck to check all external links for integrity echo. doctest to run all doctests embedded in the documentation if enabled echo. coverage to run coverage check of the documentation if enabled echo. dummy to check syntax errors of document sources goto end ) if "%1" == "clean" ( for /d %%i in (%BUILDDIR%\*) do rmdir /q /s %%i del /q /s %BUILDDIR%\* goto end ) REM Check if sphinx-build is available and fallback to Python version if any %SPHINXBUILD% 1>NUL 2>NUL if errorlevel 9009 goto sphinx_python goto sphinx_ok :sphinx_python set SPHINXBUILD=python -m sphinx.__init__ %SPHINXBUILD% 2> nul if errorlevel 9009 ( echo. echo.The 'sphinx-build' command was not found. Make sure you have Sphinx echo.installed, then set the SPHINXBUILD environment variable to point echo.to the full path of the 'sphinx-build' executable. Alternatively you echo.may add the Sphinx directory to PATH. echo. echo.If you don't have Sphinx installed, grab it from echo.http://sphinx-doc.org/ exit /b 1 ) :sphinx_ok if "%1" == "html" ( %SPHINXBUILD% -b html %ALLSPHINXOPTS% %BUILDDIR%/html if errorlevel 1 exit /b 1 echo. echo.Build finished. The HTML pages are in %BUILDDIR%/html. goto end ) if "%1" == "dirhtml" ( %SPHINXBUILD% -b dirhtml %ALLSPHINXOPTS% %BUILDDIR%/dirhtml if errorlevel 1 exit /b 1 echo. echo.Build finished. The HTML pages are in %BUILDDIR%/dirhtml. goto end ) if "%1" == "singlehtml" ( %SPHINXBUILD% -b singlehtml %ALLSPHINXOPTS% %BUILDDIR%/singlehtml if errorlevel 1 exit /b 1 echo. echo.Build finished. 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The XML files are in %BUILDDIR%/xml. goto end ) if "%1" == "pseudoxml" ( %SPHINXBUILD% -b pseudoxml %ALLSPHINXOPTS% %BUILDDIR%/pseudoxml if errorlevel 1 exit /b 1 echo. echo.Build finished. The pseudo-XML files are in %BUILDDIR%/pseudoxml. goto end ) if "%1" == "dummy" ( %SPHINXBUILD% -b dummy %ALLSPHINXOPTS% %BUILDDIR%/dummy if errorlevel 1 exit /b 1 echo. echo.Build finished. Dummy builder generates no files. goto end ) :end ================================================ FILE: docs/meshing.rst ================================================ .. make a label for this file .. _meshing: Making Meshes ============= After :ref:`spline_refine` and optionally making a blunt :ref:`trailing_edge`, the airfoil contour can be meshed which is the primary purpose of `PyAero `_. As for splining and refining the meshing options are located in the toolbox area which is the left pane of the user interface (see :ref:`toolbox_functions`). The default settings for the mesh generation process should be good enough to generate a mesh that can be used to do CFD RANS simulations. The mesh is constructed from four individual blocks, each of which has its own configuration options. The mesh blocks are (listed below with the same name as in the GUI): - Airfoil contour mesh (block 1) - Airfoil trailing edge mesh (block 2) - Windtunnel mesh around airfoil (block 3) - Windtunnel mesh in the wake (block 4) .. _figure_mesh_blocks: .. figure:: images/mesh_blocks.png :align: center :target: _images/mesh_blocks.png :name: MeshBlocks Mesh blocking structure The main mesh block is the one directly attached to the airfoil contour. It is constructed by grid lines emerging perpendicular from the airfoil, starting at the points from the splined contour (see :ref:`spline_refine`). Another set of lines parallel to the airfoil contour complete the main mesh block. The default settings there implement a streching away from the airfoil, so that the thinnest mesh layer is attached at the airfoil and further mesh layers are gradually thickened outwards. .. _figure_mesh_block_1: .. figure:: images/mesh_block1bb.png :align: center :target: _images/mesh_block1bb.png :name: MeshBlock1 Mesh around airfoil (block 1) The process of constructing the grid lines perpendicular and parallel to the contour guarantees a fully orthogonal mesh in the vicinity of the airfoil which is important for keeping numerical errors as low as possible in the region of interest. The mesh distribution settings for this block are depicted in the following figure (:ref:`mesh_settings_airfoil_contour`). .. _mesh_settings_airfoil_contour: .. figure:: images/mesh_settings_airfoil_contour.png :align: center :target: _images/mesh_settings_airfoil_contour.png :name: SettingsAirfoilContour Settings for the mesh around the airfoil (block 1) The value for the number of :code:`Gridpoints along airfoil` contour is grayed out. This value is taken from the number of points on the spline and is displayed here just for reference(see also :ref:`figure_toolbox_spline_refine_1`). If a different number of grid points along the contour is required the spline has to be updated at first. Next the :code:`Divisions normal to airfoil` allows to vary the number mesh layers normal to the contour within mesh block 1. The setting :code:`1st cell layer thickness` specifies the dimension/length of block 1 normal to the contour in percentage of the airfoil chord. It is limited to 100% chord length, but typical values would be in the range 5% to 20%. The final parameter for block 1 is the :code:`Cell thickness ratio (-)`. It specifies the ratio of the cell thickness of the outermost cell in the block (wrt to airfoil normal direction) over the cell thickness of the layer which is attached to the contour. So if for example the ratio is 3, the outer cell layer of block one is 3 times a thick as the cell layer at the airfoil (see :ref:`figure_mesh_stretching_annotated`). .. _figure_mesh_stretching_annotated: .. figure:: images/mesh_stretching_annotated.png :align: center :target: _images/mesh_stretching_annotated.png :name: mesh_stretching_annotated Mesh stretching ratio The trailing edge mesh is the region directly behind the airfoil (block 2, see :ref:`figure_mesh_blocks`). This block has its own parameters in order to be able to fine control the grid resolution where upper and lower contour shear layers meet and interact(see :ref:`figure_mesh_block_TE`). .. _figure_mesh_TE_annotated: .. figure:: images/mesh_TE_annotated.gif :align: center :target: _images/mesh_TE_annotated.gif :name: mesh_TE_annotated Mesh at the trailing edge (block 2) .. _mesh_settings_TE: .. figure:: images/mesh_settings_TE.png :align: center :target: _images/mesh_settings_TE.png :name: SettingsTrailingEdge Settings for the airfoil trailing edge mesh (block 2) The parameter :guilabel:`Divisions at trailing edge` controls the number of subdivisions at the trailing edge (see blue circle in :ref:`figure_mesh_TE_annotated`). If the airfoil trailing edge has a finite thickness (blunt trailing edge), these cells resolve the small vertical part of the trailing edge. :guilabel:`Divisions downstream trailing edge` is the number of subdivisions in the direction of the airfoil wake inside block 2. The :guilabel:`Length behind trailing edge (%)` is the length of block 2 in the same direction measured as fraction of the unit chord. The :guilabel:`Cell thickness ratio (-)` has the same effect on the grid line distribution as already depicted for the mesh around the airfoil (block 1). In case of a sharp trailing edge, above parameters are not used. The cells of the airfoil upper and lower grid lines meet at the trailing edge and continue as one gridline downstream. .. _figure_mesh_TE_sharp: .. figure:: images/mesh_TE_sharp.gif :align: center :target: _images/mesh_TE_sharp.gif :name: mesh_TE_sharp Example mesh for a sharp trailing edge The next set of parameters specifies the grid distribution within block 3. The parameters are handled in the same way as for block 1 and block 2. The distribution biasing is just and intermediate helper function and should be kept with its default value (see note below) for symmetric or slightly cambered airfoils. For airfoils with pronounced camber setting biasing to :guilabel:`lower` improves the mesh quality. .. important:: The meshing algorithm in block 3 is not finished, rather it is a tweaked version of a transfinite interpolation. This will be updated with elliptic grid generation or similar. .. _mesh_settings_WT_airfoil: .. figure:: images/mesh_settings_WT_airfoil.png :align: center :target: _images/mesh_settings_WT_airfoil.png :name: SettingsWtAirfoil Settings for the windtunnel around the airfoil (block 3) The final mesh block (see block 4 in :ref:`figure_mesh_blocks`) is the remainder of the windtunnel downstream. It copies the mesh distribution of blocks 1,2 and 3 onits upstream side. Again the settings left over here should be self explanatory, except :guilabel:`Equalize vertical wake line at (%)`. At the outlet of the windtunnel downstrream all cells have equal width in the vertical direction. The setting just mentioned allows to specify at which percentage of the block 4 in downstream direction the cells will be of homogeneous size in the vertical direction (see :ref:`figure_mesh_WT_wake_annotated`). The dashed vertical line indicates the location from where the vertical grid line distribution is homogeneous. .. _mesh_settings_WT_wake: .. figure:: images/mesh_settings_WT_wake.png :align: center :target: _images/mesh_settings_WT_wake.png :name: SettingsWtWake Settings for the windtunnel in the wake (block 4) .. _figure_mesh_WT_wake_annotated: .. figure:: images/mesh_WT_wake_annotated.gif :align: center :target: _images/mesh_WT_wake_annotated.gif :name: mesh_WT_wake_annotated Mesh block 4 - equalizing trailing edge grid line distribution The following figure shows the final mesh of an example airfoil (**hn1033a**). .. _figure_complete_mesh: .. figure:: images/complete_mesh.gif :align: center :target: _images/complete_mesh.gif :name: complete_mesh Final mesh around airfoil **hn1033a** ================================================ FILE: docs/quickstart.rst ================================================ .. |br| raw:: html
.. make a label for this file .. _quickstart: Quick start guide ================= The general steps for mesh generation in `PyAero `_ can be explained as follows: 1. Load an airfoil contour file |br| This is to get the raw data decribing the airfoil contour. 2. Spline and refine the airfoil contour |br| This is to update/improve the contour and prepare the mesh resolution along the airfoil. 3. Make a trailing edge with finite thickness |br| This adds a so called blunt trailing edge to the contour. |br| Skip this step if the trailing edge should be sharp. 4. Mesh the refined airfoil contour |br| Start the meshing process. 5. Export the mesh in the required format |br| Save the mesh in the specified format to the harddrive. This is it. Check the animation below, on how this looks in the graphical user interface (version 2.1.5). .. _figure_quickstart_steps: .. figure:: images/quickstart.gif :align: center :target: _images/quickstart.gif :name: quickstart_steps Step by step mesh generation with predefined airfoil contour ================================================ FILE: docs/settings.rst ================================================ .. make a label for this file .. _tutorial_settings: Settings ======== `PyAero `_ supports customizing its behaviour. The parameters which can be modified are stored in a file called :file:`Settings.py`. ================================================ FILE: docs/spline_refine.rst ================================================ .. make a label for this file .. _spline_refine: Splining and Refining Airfoil Contours ====================================== The meshing process in `PyAero `_ relies on the point distribution on the airfoil contour. During meshing, there is a mesh constructed around the airfoil, which consists of mesh lines perpendicular to the airfoil contour. The mesh lines are starting at the individual airfoil contour points. So in order to be able to generate a proper mesh, the contour point distribution has to be adapted first. This is important, because particularly legacy wing sections have quite a coarse resolution (around 60 points). In the figure below, there is an animation of: - the original airfoil contour - the splined airfoil contour - and the mesh lines parting from the splined contour .. _figure_splining_animated_new: .. figure:: images/splining_animated_new.gif :align: center :target: _images/splining_animated_new.gif :name: splining_animated_new Airfoil contour before and after splining Two functions improve the contour before meshing. After clicking *Spline and Refine* in the respective toolbox function, the contour will at first be splined and in a second step refined. .. _figure_toolbox_spline_refine_1: .. figure:: images/toolbox_spline_refine_1.png :align: center :target: _images/toolbox_spline_refine_1.png :name: toolbox_spline_refine_1 Toolbox function for specifying spline and refining parameters The splining is done using B-splines via the Scipy function :code:`scipy.interpolate.splprep`. This produces a spline representation through the initial (raw) airfoil contour. The number of points on the spline obviously can be set by `Number of points on spline`. Using an equal arc length the respective number of points is distributed homogeneously along the spline. This is the intended behaviour, as it guarantees constant size mesh cells around the airfoil (since the mesh is based on these points). .. _figure_splining_raw: .. figure:: images/splining_raw.png :align: center :target: _images/splining_raw.png :name: splining_raw Airfoil RG15: Points are as loaded from original file .. _figure_splining_60pts: .. figure:: images/splining_60pts.png :align: center :target: _images/splining_60pts.png :name: splining_60pts Airfoil RG15: Contour after splining with 60 points, no refinements .. _figure_splining_120pts: .. figure:: images/splining_120pts.png :align: center :target: _images/splining_120pts.png :name: splining_120pts Airfoil RG15: Contour after splining with 120 points, no refinements Obviously, at the leading and trailing edges some more care is necessary to produce the required mesh resolution. At the leading edge it is required to resolve the big pressure gradients which are produced by the shape of the airfoil nose. A recursive refinement algorithm is used to resolve the contour until a certain criterion is met (see following figure). A B-spline is interpolated throug the given raw contour points. At first, equidistant arc length segments are created on the spline (according to the prescribed number of points). During recursive refinement, the algorithm checks each pair of adjacent line segments if they match the criterion. The criterion is based on the angle included between adjacent segments. If the angle is less than a threshold specified by the user via the `Refinement tolerance` input, the algorithm adds two points. Each point is placed on the interpolated spline, half distance within each of the current segments. Then, new segments are created and angles are checked over and over again, until no pair of segments exists which include angles less than the threshold. This guarantees that the angle between adjacent mesh cells in the boundary layer is as uniform as possible. Thus, pressure gradients around the airfoil are resolved with the same quality. .. _figure_refining_1: .. figure:: images/refining_1.png :align: center :target: _images/refining_1.png :name: refining_1 Refinement algorithm Angles between 170° and 173° already produce very well resolved leading edge contours (see following figures). .. _figure_splining_60pts_ref170: .. figure:: images/splining_60pts_ref170.png :align: center :target: _images/splining_60pts_ref170.png :name: splining_60pts_ref170 Airfoil RG15: Contour after splining with 60 points, LE refinement 170° .. _figure_splining_60pts_ref170_close: .. figure:: images/splining_60pts_ref170_close-up.png :align: center :target: _images/splining_60pts_ref170_close-up.png :name: splining_60pts_ref170_close Airfoil RG15: Close-up, 60 points, LE refinement 170° At the trailing edge again pronounced pressure gradients due to flow separation shall be resolved by a finer mesh. .. _figure_splining_60pts_ref170_TE3: .. figure:: images/splining_60pts_ref170_TE3.png :align: center :target: _images/splining_60pts_ref170_TE3.png :name: splining_60ptsplining_60pts_ref170_TE3s_ref170 Airfoil RG15: Contour after splining with 60 points, LE and TE refinements The trailing edge refinement algorithm is somewhat simpler. The user specifies the number of segments to be refinded at the trailing edge. If the number of `Refine trailinge edge (old segments)` is 3, both, at the upper and lower sides of the contour, the last 3 segments are selected for refinement. The number of segments is then changed to `Refine trailinge edge (new segments)`. If this number is 6 and the chosen compression rate `Refine trailinge edge ratio` is 4, a distribution as depicted in figure :ref:`figure_refining_3` is created. .. _figure_refining_3: .. figure:: images/refining_3.png :align: center :target: _images/refining_3.png :name: refining_3 Airfoil RG15: Close-up, 60 points, LE refinement 3, 6, 4 ================================================ FILE: docs/trailing_edge.rst ================================================ .. make a label for this file .. _trailing_edge: Trailing Edge ============= .. note:: If a sharp trailing edge is needed, this step can to be skipped. As outlined in the section before, the meshing process relies on the point distribution on the airfoil contour. Real airfoils, i.e. airfoils which are built as a hardware, have a trailing edge (TE) with a definite thickness, a `blunt trailing edge`. This is due to manufacturing and/or structural reasons. To be able to model this, `PyAero `_ has a dedicated function. The following figure shows an animation of a sharp trailing edge and a blunt trailing edge. .. _figure_TE1_animated: .. figure:: images/TE1_animated.gif :align: center :target: _images/TE1_animated.gif :name: TE1_animated Sharp and `blunt` trailing edges The blunt trailing edge needs to be added to the original contour in a controlled manner. The parameters shown in the following figure can be used to control this process. .. _figure_toolbox_spline_refine_2: .. figure:: images/toolbox_spline_refine_2.png :align: center :target: _images/toolbox_spline_refine_2.png :name: toolbox_spline_refine_2 Toolbox function for specifying the blunt TE blending parameters The trailing edge thickness itself can be specified relative to the unit chord. The thickenning is done perpendicular to the camber line at the trailing edge. In order to prevent aerodynamic artefacts due to the blunt TE, a smooth controlled blend from the blunt TE vertices into the original (raw) contour needs to be done. This is achieved by allowing to blend along a certain user specified length into the original contour. Furthermore, the degree of the blending curve can be specified. The blending length describes the fraction (in %) of the chord in which the blending is done. The polynomial exponent can be used to describe the blending curve degree. The blending can be controlled individually for the upper and lower sides of the contour. This is specifically useful for strongly camber airfoils. To better understand the TE blending options the following figure depicts a visually exaggerated TE blending (by clicking several times on the *Add Trailing Edge* button). The upper side of the aifoil is blended over 50% of the chord with a linear blend, whereas the lower side is blended over 20% of the chord with a polynom of degree three. .. _figure_TE_blending_options: .. figure:: images/TE_blending_options.png :align: center :target: _images/TE_blending_options.png :name: TE_blending_options Exaggerated TE blending: 50% linear (upper), 30% 3rd order polynom (lower) Playing with the settings and finding the best setup for blending is always best viewed by clicking two or three times on the *Add Trailing Edge* button. A reset to the original curve can be achieved by simply clicking on the *Spline and Refine* button in the menu above (see :ref:`figure_toolbox_spline_refine_1`). When a satisfying result is achieved for the contour in terms of splining, refining and trailing edge, the meshing process can be started. ================================================ FILE: docs/ui_GUI.rst ================================================ .. make a label for this file .. _user_interface: User Interface ============== `PyAero `_ comes with a graphical user interface (GUI) written in `Qt for Python `_ aka Pyside6. Overview ----------- The layout of the user interface can be seen in the figure below. Different functional areas are bordered with blue lines. These areas are: - Menubar - Toolbar - Toolbox - Graphics view - Viewing options - Message window Loading and saving geometry and meshes is done via the menus and the toolbar. Most operations during geometry preparation and meshing are done inside the toolbox. .. _figure_main_screen: .. figure:: images/main_screen_new1.png :align: center :target: _images/main_screen_new1.png :name: main_screen_new Graphical user interface of PyAero Menus ----- Menus in `PyAero `_ try to behave much the same as in typical desktop software. For standard menus as :guilabel:`File` or :guilabel:`Print` the documentation will be kept short. See figure above for the location of the menubar in the GUI and the figure below for an overview of the menu structure. The menus in the menubar and the tools in the toolbar (see Toolbar) are coded in a dynamic way. That is, all menus and toolbar items (and their respective handlers/callbacks) are read from XML files (see ``PMenu.xml``, ``PToolbar.xml`` in the ``data/Menus`` folder of the installation). The graphical user interface is automatically populated using the entries of those files. With this structure in place, menus and toolbar items can easily be extended and customized. When adding new menus and thus functionality, it is required to provide corresponding functions in the code or handlers (in *Qt for Python* nomenclature so-called “slots”) to take care of the newly introduced functionality. .. _figure_menu_structure: .. figure:: images/menu_structure_NEW.png :align: center :width: 80% :target: _images/menu_structure_NEW.png :name: menu_structure PyAero menu structure .. note:: Most probably, the XML files will be changed to JSON format sooner or later. This will not change the functionality. .. include:: ui_menu_file.inc .. include:: ui_menu_view.inc .. include:: ui_menu_tools.inc .. include:: ui_menu_help.inc Toolbar ------- The toolbar in `PyAero `_ allows fast access to actions which are otherwise triggered by menus. Each of the toolbar buttons launch a specific action. The toolbar can be customized by editing the file :file:`$PYAEROPATH/data/PToolBar.xml`. .. figure:: images/toolbar_animated_NEW.gif :align: center :scale: 70% :target: _images/toolbar_animated_NEW.gif :name: toolbar_animated Overview on toolbar options Toolbox Functions ----------------- The toolbox functions are arranged at the left border of the GUI. A *toolbox* is a GUI element that displays a column of tabs one above the other, with the current item displayed below the current tab. The toolbox is the main working area when generating meshes with `PyAero `_. The complete functionality like splining, refining, contour analysis and meshing are operated there. See the animation below to get an overview on the options available in the toolbox. .. _toolbox_functions: .. figure:: images/toolbox_animated_NEW.gif :align: center :scale: 60% :target: _images/toolbox_animated_NEW.gif :name: toolbox_animated Overview on toolbox options Tabbed Views ------------ The graphics view in `PyAero `_ and a set of other views (see figure below) are arranged via a tab bar. E.g., the views can be switched between the graphics view and the contour analysis view. The latter contains graphs for curvature analysis. .. figure:: images/tabbed_views_animated.gif :align: center :target: _images/tabbed_views_animated.gif :name: tabbed_views_animated Overview on tabbed views .. note:: The look and feel of the tabs might change over time. Zooming, Panning ---------------- When an airfoil is loaded it is displayed with a size that fits into the graphics view (leaving a small margin left and right). The contour can then be panned and zoomed in the following way: Panning ^^^^^^^ In order to pan (drag) the contour or any other item press and hold :kbd:`CTRL` (:kbd:`CMD` on MacOS) and then press and hold the left mouse button and move the mouse in order to drag the contour. .. figure:: images/drag_view.gif :align: center :target: _images/drag_view.gif :name: drag_view Drag the items in the view by pressing :kbd:`CTRL` and moving the mouse (left button pressed) Zooming ^^^^^^^ Zooming is activated by pressing and holding the left mouse button. While dragging the mouse, a rubberband rectangle is drawn. This rectangle indicates the area which will be zoomed when releasing the left mouse button. In order to avoid accidential zooming too deep, a minimum size rectangle has to show up. A valid zoom rectangle is indicated by changing its background to a transparent blueish color (the minimum allowed size can be set in ``Settings.py`` by changing the value of **RUBBERBANDSIZE**). In order to zoom in deeper, the rubberband rectangle can be subsequently used. Zoom limits (**MINZOOM**, **MAXZOOM**) are set in the file ``Settings.py``. .. figure:: images/zoom_view.gif :align: center :target: _images/zoom_view.gif :name: zoom_view Zoom the items in the view. Select a rectangle using the left mouse button. Another natural possibility to zoom the view, is to use the scroll wheel. Thereby the geometry is zoomed with respect to the current mouse position. Zooming can further be done using the :kbd:`Page-Up` and :kbd:`Page-Up` down keys. A reset to the initial (home) position can either be achieved by pressing the :kbd:`HOME` key or by right clicking in the graphics view and selecting :guilabel:`Fit airfoil in view` from the pulldown menu. Keyboard shortcuts ------------------ To speed up some operations, a set of keyboard shortcuts are defined. In some of the menus the shortcuts for the respective actions are defined at the right side of the menu. Furthermore, the shortcut :kbd:`CTRL+k` on Windows and :kbd:`CMD+k` on MacOS are used to access an overview of the keyboard shortcuts. .. note:: The keyboard shortcuts are rendered as uppercase letters in the GUI. Nevertheless, always lowercase letters need to be used, unless the :kbd:`SHIFT` key is a part of the shortcut. ================================================ FILE: docs/ui_menu_file.inc ================================================ Menu :guilabel:`File` ^^^^^^^^^^^^^^^^^^^^^ This menu is, as pointed out before, a typical desktop software menu. It consists of a set of dialogs for file manipulation, printing and alike. .. include:: ui_menu_file_open.inc .. include:: ui_menu_file_save.inc .. include:: ui_menu_file_print.inc .. include:: ui_menu_file_print_preview.inc .. include:: ui_menu_file_exit.inc ================================================ FILE: docs/ui_menu_file_exit.inc ================================================ Submenu :guilabel:`Exit` """""""""""""""""""""""" The :menuselection:`File --> Exit` submenu does what is says and closes all windows and exits `PyAero `_. ================================================ FILE: docs/ui_menu_file_open.inc ================================================ Submenu :guilabel:`Open` """""""""""""""""""""""" The :menuselection:`File --> Open` submenu is used to load airfoil contour files or meshes. At the moment the standard file format as used in many applications is supported. .. epigraph:: "Coordinates in the standard format wrapping from upper surface trailing edge around the leading edge to the lower surface trailing edge" -- `UIUC airofil data site `_ See figure below for the layout/format of such a file. Only the first and last few lines of the file are printed here. .. _figure_airfoil_file: .. figure:: images/airfoil_file.png :align: center :target: _images/airfoil_file.png :name: airfoil_file Typical format of an airfoil contour file This format is often used in software like `XFOIL `_ and similar. In addition, lines starting with a hash sign :code:`#` at the beginning are interpreted as comment lines (i.e. not used inside PyAero). This can be used for documentation or to add additional information. ================================================ FILE: docs/ui_menu_file_print.inc ================================================ Submenu :guilabel:`Print` """"""""""""""""""""""""" The :menuselection:`File --> Print` submenu allows for printing the content of the graphics view. Only graphics items as airfoil, coordinate cross, etc. will be plotted. The background gradient of the main graphics view will not be plotted. In case, that the background gradient shall be on the image, use the screenshot option. ================================================ FILE: docs/ui_menu_file_print_preview.inc ================================================ Subenu :guilabel:`Print preview` """"""""""""""""""""""""""""""" The :menuselection:`File --> Print preview` submenu allows previewing the printout prior to printing. Actual printing then can be started directly from the print preview dialog, see Figure 2 3. .. figure:: images/print_preview1.png :align: center :target: _images/print_preview1.png :name: print_preview1 Print preview dialog ================================================ FILE: docs/ui_menu_file_save.inc ================================================ Submenu :guilabel:`Save` """""""""""""""""""""""" The :menuselection:`File --> Save` submenu is used to save airfoil contour files or meshes. The file is saved using the name from the currently active airfoil. An extension with respect to the selected file type (e.g. .dat, .msh) is added automatically. ================================================ FILE: docs/ui_menu_help.inc ================================================ Menu :guilabel:`Help` ^^^^^^^^^^^^^^^^^^^^^ This menu provides access to help on `PyAero `_. Help is available via a link to the online `documentation `_ or to a PDF version of it. The :menuselection:`Help --> About PyAero` pops up awindow showing basic information on author and credits. Further it lists the versions of the main Python packages used in `PyAero `_. ================================================ FILE: docs/ui_menu_tools.inc ================================================ Menu :guilabel:`Tools` ^^^^^^^^^^^^^^^^^^^^^^ The :guilabel:`Tools` menu is planned to collect some useful helper tools. Currently there is a preparation for launching a calculator or for changing `PyAero `_ settings. .. note:: At the moment both are not implemented. ================================================ FILE: docs/ui_menu_view.inc ================================================ Menu :guilabel:`View` ^^^^^^^^^^^^^ This menu is used to set dedicated zoom levels or to toggle parameters of the view. All submenus of the :menuselection:`View` menu can be activated by respective shortcuts or by using the right mouse button inside the graphics view. Submenu :guilabel:`Fit airfoil in view` """"""""""""""""""""""""""""""""""""""" The :menuselection:`View --> Fit airfoil in view` does what it says. It fits the complete airfoil into the graphics view. This is exactly the same zoom and position which is used after an airfoil has been loaded. The keyboard shortcut for this submenu is :kbd:`CTRL-f`. Submenu :guilabel:`Fit all in view` """"""""""""""""""""""""""""""""""""""" The :menuselection:`View --> Fit all in view` does also what it says. It fits loaded airfoils only (if no mesh exist yet) or the complete mesh of the windtunnel into the graphics view. The respective keyboard shortcut is :kbd:`CTRL-SHIFT-f`. Submenu :guilabel:`Toggle background` """"""""""""""""""""""""""""""""""""" The :menuselection:`View --> Toggle background` can be used to toggle the background of the graphics view. The default background is a solid whit background. Toggling switches over to a gradient filled background (white to dark grey, from top to bottom). The respective keyboard shortcut used is :kbd:`CTRL-b`. Submenu :guilabel:`Toggle message window` """""""""""""""""""""""""""""""""""""""" The :menuselection:`View --> Toggle message window` can be used to toggle the message window which is located below the the graphics view (see also :ref:`figure_main_screen`). Toggling hides the message window and after toggling once more it is brought back again. The respective keyboard shortcut used is :kbd:`CTRL-m`. The message window is a so called floating window which can also be detached from the GUI. It can be positioned anywhere on the screen and it can be reattched to the GUI again at any position ( top, bottom, left, right). ================================================ FILE: src/Airfoil.py ================================================ import numpy as np from PySide6 import QtGui, QtCore import GraphicsItemsCollection as gic import GraphicsItem import logging logger = logging.getLogger(__name__) class Airfoil: """Class to read airfoil data from file (or use predefined airfoil) The Airfoil object carries several graphics items: e.g. raw data, chord, camber, etc. Attributes: brushcolor (QColor): fill color for airfoil chord (QGraphicsItem): Description item (QGraphicsItem): graphics item derived from QPolygonF object name (str): airfoil name (without path) pencolor (QColor): color for airoil outline penwidth (float): thickness of airfoil outline raw_coordinates (numpy array): list of contour points as tuples """ def __init__(self, name): # get MainWindow instance (overcomes handling parents) self.mainwindow = QtCore.QCoreApplication.instance().mainwindow self.name = name self.chord = None self.has_TE = False self.contourPolygon = None # self.contourSpline = None self.spline_data = None self.raw_coordinates = None self.pencolor = QtGui.QColor(0, 20, 255, 255) self.penwidth = 4.0 self.brushcolor = QtGui.QColor() self.brushcolor.setNamedColor('#7c8696') def readContour(self, filename, comment): try: with open(filename, mode='r') as f: lines = f.readlines() except IOError as error: # exc_info=True sends traceback to the logger logger.error('Failed to open file {} with error {}'. \ format(filename, error), exc_info=True) return False data = [line for line in lines if comment not in line] # find and drop duplicate points (except first and last) data_clean = list() for index, line in enumerate(data): if index == 0: data_clean.append(line) continue elif index == len(data)-1: data_clean.append(line) break if line != data[index-1]: data_clean.append(line) else: logger.info('Dropped duplicate point {}'.format(line)) # check for correct data # specifically important for drag and drop try: x = [float(l.split()[0]) for l in data_clean] y = [float(l.split()[1]) for l in data_clean] except (ValueError, IndexError) as error: logger.error('Unable to parse file file {}'. \ format(filename)) logger.error('Following error occured: {}'.format(error)) return False except: # exc_info=True sends traceback to the logger logger.error('Unable to parse file file {}. Unknown error caught'\ .format(filename), exc_info=True) return False # store airfoil coordinates as list of tuples self.raw_coordinates = np.array((x, y)) # normalize airfoil to unit chord self.raw_coordinates[0] -= np.min(x) divisor = np.max(self.raw_coordinates[0]) self.raw_coordinates[0] /= divisor self.raw_coordinates[1] /= divisor self.offset = [np.min(y), np.max(y)] return True def makeAirfoil(self): # make polygon graphicsitem from coordinates self.makeContourPolygon() self.makeChord() self.makePolygonMarkers() # Activate checkboxes for contour points, polygon, and chord in viewing options. checkboxes = [ self.mainwindow.centralwidget.airfoil_points_checkbox, self.mainwindow.centralwidget.airfoil_raw_contour_checkbox, self.mainwindow.centralwidget.airfoil_chord_checkbox, ] for checkbox in checkboxes: checkbox.setChecked(True) checkbox.setEnabled(True) def addToScene(self, scene): """add all items to the scene""" scene.addItem(self.contourPolygon) scene.addItem(self.chord) self.polygonMarkersGroup = scene. \ createItemGroup(self.polygonMarkers) def makeContourPolygon(self): """Add airfoil points as GraphicsItem to the scene""" # instantiate a graphics item contour = gic.GraphicsCollection() # make it polygon type and populate its points points = [QtCore.QPointF(x, y) for x, y in zip(*self.raw_coordinates)] contour.Polygon(QtGui.QPolygonF(points), self.name) # set its properties contour.pen.setColor(self.pencolor) contour.pen.setWidthF(self.penwidth) # no pen thickness change when zoomed contour.pen.setCosmetic(True) contour.brush.setColor(self.brushcolor) self.contourPolygon = GraphicsItem.GraphicsItem(contour) def makePolygonMarkers(self): """Create marker for polygon contour""" self.polygonMarkers = list() for x, y in zip(*self.raw_coordinates): marker = gic.GraphicsCollection() marker.pen.setColor(QtGui.QColor(60, 60, 80, 255)) marker.pen.setWidthF(1.6) # no pen thickness change when zoomed marker.pen.setCosmetic(True) marker.brush.setColor(QtGui.QColor(217, 63, 122, 255)) # circle size doesn't do anything here # this is indirectly deactivated because we don't want to change # marker size during zoom # the sizing is thus handled in graphicsview adjustMarkerSize # there a fixed markersize in pixels is taken from settings which # can be configured by the user marker.Circle(x, y, 0.004) markerItem = GraphicsItem.GraphicsItem(marker) self.polygonMarkers.append(markerItem) def makeChord(self): line = gic.GraphicsCollection() color = QtGui.QColor(52, 235, 122, 255) line.pen.setColor(color) line.pen.setWidthF(2.5) # no pen thickness change when zoomed line.pen.setCosmetic(True) # setting CustomDashLine not needed as it will be set # implicitely by Qt when CustomDashLine is applied # put it just for completeness line.pen.setStyle(QtCore.Qt.CustomDashLine) stroke = 10 dot = 1 space = 5 line.pen.setDashPattern([stroke, space, dot, space]) index_min = np.argmin(self.raw_coordinates[0]) index_max = np.argmax(self.raw_coordinates[0]) x1 = self.raw_coordinates[0][index_min] y1 = self.raw_coordinates[1][index_min] x2 = self.raw_coordinates[0][index_max] y2 = self.raw_coordinates[1][index_max] line.Line(x1, y1, x2, y2) self.chord = GraphicsItem.GraphicsItem(line) self.chord.setZValue(99) self.chord.setAcceptHoverEvents(False) def makeContourSpline(self): """Add splined and refined airfoil points as GraphicsItem to the scene """ self.pencolor = QtGui.QColor(80, 80, 220, 255) self.penwidth = 4.0 # instantiate a graphics item splinecontour = gic.GraphicsCollection() # make it polygon type and populate its points points = [QtCore.QPointF(x, y) for x, y in zip(*self.spline_data[0])] splinecontour.Polygon(QtGui.QPolygonF(points), self.name) # set its properties splinecontour.pen.setColor(self.pencolor) splinecontour.pen.setWidthF(self.penwidth) # no pen thickness change when zoomed splinecontour.pen.setCosmetic(True) # remove items from iterated uses of spline/refine and trailing edge if hasattr(self, 'contourSpline') and \ self.contourSpline in self.mainwindow.scene.items(): self.mainwindow.scene.removeItem(self.contourSpline) self.contourSpline = GraphicsItem.GraphicsItem(splinecontour) self.mainwindow.scene.addItem(self.contourSpline) # remove items from iterated uses of spline/refine and trailing edge if hasattr(self, 'splineMarkersGroup') and \ self.splineMarkersGroup in self.mainwindow.scene.items(): self.mainwindow.scene.removeItem(self.splineMarkersGroup) self.makeSplineMarkers() self.splineMarkersGroup = self.mainwindow.scene. \ createItemGroup(self.splineMarkers) self.mainwindow.airfoil.contourSpline.brush. \ setStyle(QtCore.Qt.SolidPattern) color = QtGui.QColor() color.setNamedColor('#7c8696') self.contourSpline.brush.setColor(color) self.polygonMarkersGroup.setZValue(100) # switch off raw contour and toogle corresponding checkbox if self.polygonMarkersGroup.isVisible(): self.mainwindow.centralwidget.airfoil_points_checkbox.click() if self.contourPolygon.isVisible(): self.mainwindow.centralwidget.airfoil_raw_contour_checkbox.click() # Activate checkboxes for contour points and chord in viewing options. checkboxes = [ self.mainwindow.centralwidget.airfoil_spline_points_checkbox, self.mainwindow.centralwidget.airfoil_spline_contour_checkbox, ] for checkbox in checkboxes: checkbox.setChecked(True) checkbox.setEnabled(True) self.mainwindow.view.adjustMarkerSize() def makeSplineMarkers(self): """Create marker for polygon contour""" self.splineMarkers = list() for x, y in zip(*self.spline_data[0]): # put airfoil contour points as graphicsitem splinemarker = gic.GraphicsCollection() splinemarker.pen.setColor(QtGui.QColor(60, 60, 80, 255)) splinemarker.pen.setWidthF(1.6) # no pen thickness change when zoomed splinemarker.pen.setCosmetic(True) splinemarker.brush.setColor(QtGui.QColor(203, 250, 72, 255)) splinemarker.Circle(x, y, 0.004) splineMarkerItem = GraphicsItem.GraphicsItem(splinemarker) self.splineMarkers.append(splineMarkerItem) def drawCamber(self, camber): self.pencolor = QtGui.QColor(220, 80, 80, 255) self.penwidth = 3.5 # instantiate a graphics item camberline = gic.GraphicsCollection() # make it polygon type and populate its points points = [QtCore.QPointF(x, y) for x, y in zip(*camber)] camberline.Polyline(QtGui.QPolygonF(points)) # set its properties camberline.pen.setColor(self.pencolor) camberline.pen.setWidthF(self.penwidth) # camberline.pen.setStyle(QtCore.Qt.DashLine) camberline.pen.setStyle(QtCore.Qt.DotLine) # no pen thickness change when zoomed camberline.pen.setCosmetic(True) camberline.brush.setColor(self.brushcolor) # add the spline polygon without filling camberline.brush.setStyle(QtCore.Qt.NoBrush) # remove items from iterated uses of spline/refine and trailing edge if hasattr(self, 'camberline') and \ self.camberline in self.mainwindow.scene.items(): self.mainwindow.scene.removeItem(self.camberline) self.camberline = GraphicsItem.GraphicsItem(camberline) self.camberline.setAcceptHoverEvents(False) self.camberline.setZValue(99) self.mainwindow.scene.addItem(self.camberline) self.mainwindow.centralwidget.airfoil_camber_line_checkbox.setChecked(True) self.mainwindow.centralwidget.airfoil_camber_line_checkbox.setEnabled(True) def setPenColor(self, r, g, b, a): self.pencolor = QtGui.QColor(r, g, b, a) def setBrushColor(self, r, g, b, a): self.brushcolor = QtGui.QColor(r, g, b, a) ================================================ FILE: src/BatchMode.py ================================================ import os import json import Airfoil import SplineRefine import TrailingEdge import Meshing import Connect from Settings import DATAPATH import logging logger = logging.getLogger(__name__) class Batch: def __init__(self, app, batch_controlfile, __version__): self.app = app self.app.mainwindow = self self.load_batch_control(batch_controlfile) stars = 50 message_stars = stars*'*' print('\n' + message_stars) message = '{:*^{stars}}'.format(' PYAERO batch meshing ', stars=stars) print(message) message = '{:*^{stars}}'.format(' v' + __version__ + ' ', stars=stars) print(message) logger.info(message) print(message_stars + '\n') def load_batch_control(self, batch_controlfile): with open(batch_controlfile, 'r') as f: self.batch_control = json.load(f) def run_batch(self): # loop all airfoils airfoil_path = self.batch_control['Airfoils']['path'] mesh_path = self.batch_control['Output formats']['path'] output_formats = self.batch_control['Output formats']['formats'] print('Airfoil path is', airfoil_path) print('Mesh output path is', mesh_path, '\n') airfoils = self.batch_control['Airfoils']['names'] trailing_edges = self.batch_control['Airfoils']['trailing_edges'] message = 'Airfoils to mesh:' print(message) logger.info(message) for airfoil in airfoils: message = f' --> {airfoil}' print(message) logger.info(message) print('\n') for i, airfoil in enumerate(airfoils): message = f'Starting batch meshing for airfoil {airfoil}' print(message) logger.info(message) # load airfoil basename = os.path.splitext(airfoil)[0] self.airfoil = Airfoil.Airfoil(basename) self.airfoil.readContour(os.path.join(airfoil_path, airfoil), '#') # spline and refine refinement = self.batch_control['Airfoil contour refinement'] refine = SplineRefine.SplineRefine() refine.doSplineRefine(tolerance=refinement['Refinement tolerance'], points=refinement['Number of points on spline'], ref_te=refinement['Refine trailing edge old'], ref_te_n=refinement['Refine trailing edge new'], ref_te_ratio=refinement['Refine trailing edge ratio']) # trailing edge if trailing_edges[i] == 'yes': self.app.mainwindow.airfoil.has_TE = True te = self.batch_control['Airfoil trailing edge'] trailing = TrailingEdge.TrailingEdge() trailing.trailingEdge(blend=te['Upper side blending length'] / 100.0, ex=te['Upper blending polynomial exponent'], thickness=te['Trailing edge thickness relative to chord'], side='upper') trailing.trailingEdge(blend=te['Lower side blending length'] / 100.0, ex=te['Lower blending polynomial exponent'], thickness=te['Trailing edge thickness relative to chord'], side='lower') # make mesh wind_tunnel = Meshing.Windtunnel() contour = self.app.mainwindow.airfoil.spline_data[0] # mesh around airfoil acm = self.batch_control['Airfoil contour mesh'] wind_tunnel.AirfoilMesh(name='block_airfoil', contour=contour, divisions=acm['Divisions normal to airfoil'], ratio=acm['Cell growth rate'], thickness=acm['1st cell layer thickness']) # mesh at trailing edge tem = self.batch_control['Airfoil trailing edge mesh'] wind_tunnel.TrailingEdgeMesh(name='block_TE', te_divisions=tem['Divisions at trailing edge'], thickness=tem['1st cell layer thickness'], divisions=tem['Divisions downstream'], ratio=tem['Cell growth rate']) # mesh tunnel airfoil tam = self.batch_control['Windtunnel mesh airfoil'] wind_tunnel.TunnelMesh(name='block_tunnel', tunnel_height=tam['Windtunnel height'], divisions_height=tam['Divisions of tunnel height'], ratio_height=tam['Cell thickness ratio'], dist=tam['Distribution biasing'], smoothing_algorithm=tam['Smoothing algorithm'], smoothing_iterations=tam['Smoothing iterations'], smoothing_tolerance=tam['Smoothing tolerance']) # mesh tunnel wake twm = self.batch_control['Windtunnel mesh wake'] wind_tunnel.TunnelMeshWake(name='block_tunnel_wake', tunnel_wake=twm['Windtunnel wake'], divisions=twm['Divisions in the wake'], ratio=twm['Cell thickness ratio'], spread=twm['Equalize vertical wake line at'] / 100.0) # connect mesh blocks connect = Connect.Connect(None) vertices, connectivity, _ = connect.connectAllBlocks(wind_tunnel.blocks) # add mesh to Wind-tunnel instance wind_tunnel.mesh = vertices, connectivity # generate cell to edge connectivity from mesh wind_tunnel.makeLCE() # generate cell to edge connectivity from mesh wind_tunnel.makeLCE() # generate boundaries from mesh connectivity wind_tunnel.makeBoundaries() message = f'Finished batch meshing for airfoil {airfoil}' print(message) logger.info(message) # export mesh message = f'Starting mesh export for airfoil {airfoil}' print(message) logger.info(message) for output_format in output_formats: extension = {'FLMA': '.flma', 'SU2': '.su2', 'GMSH': '.msh', 'VTK': '.vtk', 'CGNS': '.cgns', 'ABAQUS': '.inp', 'OBJ': '.obj'} mesh_name = os.path.join(mesh_path, basename + extension[output_format]) getattr(Meshing.BlockMesh, 'write'+output_format)(wind_tunnel, name=mesh_name) message = f'Finished mesh export for airfoil {airfoil} to {mesh_name}' print(message) logger.info(message) ================================================ FILE: src/Colors.py ================================================ """ Functions for color customizing of all PyAero items. """ from PySide6 import QtCore def torgb(color): """Convert HTML string to (r, g, b, a) tuple""" # pylint: disable=E1103 red, green, blue, alpha = QtCore.QColor.getRgb(color) # pylint: enable=E1103 return (red, green, blue, alpha) def tohtml(): """Convert (r, g, b) tuple to HTML string""" html_string = '#2784CB' return html_string ================================================ FILE: src/Connect.py ================================================ import os import copy import numpy as np from scipy import spatial from PySide6 import QtCore, QtGui import GraphicsItemsCollection as gic import GraphicsItem class Connect: """docstring""" def __init__(self, progdialog): # get MainWindow instance (overcomes handling parents) self.mainwindow = QtCore.QCoreApplication.instance().mainwindow self.progdialog = progdialog def getVertices(self, block): """Make a list of point tuples from a BlockMesh object Args: block (BlockMesh): BlockMesh object Returns: list: list of point tuples # [(x1, y1), (x2, y2), (x3, y3), ... , (xn, yn)] """ vertices = list() for uline in block.getULines(): vertices += uline return vertices def getConnectivity(self, block): connectivity = list() U, V = block.getDivUV() up = U + 1 for u in range(U): for v in range(V): p1 = v * up + u p2 = p1 + up p3 = p2 + 1 p4 = p1 + 1 connectivity.append((p1, p2, p3, p4)) return connectivity def getMinMaxConnectivityIDs(self, connectivity): id_min = 1e10 id_max = -1 for cell in connectivity: for id in cell: id_min = min(id_min, id) id_max = max(id_max, id) return id_min, id_max def getNearestNeighboursPairs(self, vertices, radius=1.e-6): tree = spatial.cKDTree(vertices) pairs = tree.query_pairs(radius, p=2., eps=0) return pairs def getNearestNeighboursBiDirectional(d1, d2, radius=1.e-6): """Get all indices ofts in d1 which are within distance r to d2""" tree_1 = spatial.cKDTree(d1) tree_2 = spatial.cKDTree(d2) idx1 = tree_2.query_ball_tree(tree_1, radius, p=2., eps=0) idx2 = tree_1.query_ball_tree(tree_2, radius, p=2., eps=0) matching = [e[0] for e in idx1 if e] opposite = [e[0] for e in idx2 if e] return matching, opposite def getNearestNeighbours(self, vertices, neighbours, radius=1.e-6): """Get the nearest neighbours to each vertex in a list of vertices uses Scipy kd-tree for quick nearest-neighbor lookup Args: vertices (list of tuples): Vertices for which nearest neighbours should be searched neighbours (list of tuples): These are the neighbours which are being searched radius (float, optional): Search neighbours within this radius Returns: vertex_and_neighbours(dictionary): Contains vertices searched as key and a list of nearest neighbours as values """ # setup k-dimensional tree tree = spatial.cKDTree(neighbours) vertex_and_neighbours = dict() for vertex_id, vertex in enumerate(vertices): vertex_and_neighbours[vertex_id] = \ tree.query_ball_point(vertex, radius) return vertex_and_neighbours def shiftConnectivity(self, connectivity, shift): if shift == 0: return connectivity connectivity_shifted = list() for cell in connectivity: new_cell = [vertex + shift for vertex in cell] connectivity_shifted.append(new_cell) return connectivity_shifted def connectAllBlocks(self, blocks): # compile global vertex list and cell connectivity from all blocks vertices = list() connectivity = list() for i, block in enumerate(blocks): # accumulated number of vertices # for i = 0 shift is automatically 0 # so the connectivity of the first block doesn't get shifted # thus, this variable must be set before 'vertices += ...' shift = len(vertices) # concatenate vertices of all blocks # vertices += [vertex for vertex in self.getVertices(block)] vertices += self.getVertices(block) # shift the block connectivity by accumulated number of vertices # from all blocks before this one connectivity_block = \ self.shiftConnectivity(self.getConnectivity(block), shift) connectivity += [tuple(cell) for cell in connectivity_block] if self.progdialog: self.progdialog.setValue(80) # FIXME # FIXME for some reason tuples need to be redefined # FIXME vertices = [(vertex[0], vertex[1]) for vertex in vertices] # search vertices of all blocks against themselves # finds itself AND multiple connections (i.e. vertices from neighbour blocks) # uses Scipy kd-tree for quick nearest-neighbor lookup # the distance tolerance is specified via the radius variable vertex_and_neighbours = self.getNearestNeighbours(vertices, vertices, radius=1.e-6) # substitute vertex ids in connectivity at block connections connectivity_connected = list() for cell in connectivity: cell_new = list() for node in cell: # if there is only one vertex in vertex_and_neighbours, # then it is taken as it is # if there is more than one vertex, # then the minimum vertex index is used # so a few vertices remain unused and need to be removed later node_new = min(vertex_and_neighbours[node]) cell_new.append(node_new) connectivity_connected.append(cell_new) # use numpy arrays unconnected = np.array(connectivity) connected = np.array(connectivity_connected) # deleted nodes deleted_nodes = np.unique(unconnected[np.where(connected != unconnected)]) # delete unused vertices vertices_clean = [v for i,v in enumerate(vertices) if i not in sorted(deleted_nodes.tolist())] # find remaining node ids remaining_nodes = np.setdiff1d(np.unique(connected), deleted_nodes) # replace node ids so that a contiguous numbering is established # divakar, method 3 (https://stackoverflow.com/a/55950051/2264936) mapping = {rn:i for i, rn in enumerate(remaining_nodes)} k = np.array(list(mapping.keys())) v = np.array(list(mapping.values())) mapping_ar = np.zeros(k.max()+1,dtype=v.dtype) mapping_ar[k] = v connectivity_clean = mapping_ar[connected] if self.progdialog: self.progdialog.setValue(90) # DEBUGGING # self.write_debug(unconnected, connected, deleted_nodes, vertices, vertices_clean, connectivity_clean) # self.draw_connectivity(vertices, deleted_nodes) return (vertices_clean, connectivity_clean, self.progdialog) def draw_connectivity(self, vertices, deleted_nodes): self.connections = list() # instantiate a graphics item marker = gic.GraphicsCollection() # set its properties marker.pen.setColor(QtGui.QColor(60, 60, 255, 255)) marker.brush.setColor(QtGui.QColor(255, 50, 50, 230)) marker.pen.setWidthF(1.6) # no pen thickness change when zoomed marker.pen.setCosmetic(True) for node in deleted_nodes: marker.Circle(vertices[node][0], vertices[node][1], 0.003) marker_item = GraphicsItem.GraphicsItem(marker) self.connections.append(marker_item) # add to the scene self.connections = self.mainwindow.scene. \ createItemGroup(self.connections) def write_debug(self, unconnected, connected, deleted_nodes, vertices, vertices_clean, connectivity_clean): dicts = locals() # print('dicts keys', dicts.keys()) # print('type', type(dicts)) dicts.pop('self') folder = 'debug' if not os.path.isdir(folder): os.mkdir(folder) # write all data to individual files for listname in dicts: with open(os.path.join(folder, listname + '.txt'), 'w') as f: for item in dicts[listname]: f.write(str(item) + '\n') ================================================ FILE: src/ContourAnalysis.py ================================================ import numpy as np from PySide6 import QtCore, QtGui from PySide6.QtWidgets import QFrame, QHBoxLayout, QVBoxLayout, QPushButton from PySide6.QtCharts import QChart, QChartView, QLineSeries, QValueAxis from PySide6.QtGui import QPainter import logging logger = logging.getLogger(__name__) class ContourAnalysis(QFrame): """Summary Attributes: canvas (TYPE): Description figure (TYPE): Description raw_coordinates (list): contour points as tuples toolbar (TYPE): Description """ def __init__(self, canvas=False): super().__init__() # get MainWindow instance (overcomes handling parents) self.mainwindow = QtCore.QCoreApplication.instance().mainwindow # run the gui part only when canvas set to true if canvas: self.initUI() def initUI(self): self.lineSeries = QLineSeries() # legend name # self.lineSeries.setName("trend") self.lineSeries.append(QtCore.QPoint(0, 0)) pen = QtGui.QPen(QtCore.Qt.red, 6, QtCore.Qt.SolidLine) self.lineSeries.setPen(pen) self.chart = QChart() self.chart.setAnimationOptions(QChart.AllAnimations) self.chart.setTitle("Airfoil contour analysis") self.chart.addSeries(self.lineSeries) self.chart.legend().setVisible(False) self.chart.legend().setAlignment(QtCore.Qt.AlignBottom) self.axisX = QValueAxis() self.axisY = QValueAxis() self.chart.setAxisX(self.axisX, self.lineSeries) self.chart.setAxisY(self.axisY, self.lineSeries) self.chart_view = QChartView(self.chart) self.chart_view.setRenderHint(QPainter.Antialiasing) self.chart_view.setRubberBand(QChartView.RectangleRubberBand) self.chart_view.setDragMode(QChartView.ScrollHandDrag) vlayout = QVBoxLayout() vlayout.addWidget(self.chart_view) self.setLayout(vlayout) # Add buttons for zoom and home self.zoom_in_button = QPushButton("Zoom In") self.zoom_out_button = QPushButton("Zoom Out") self.home_button = QPushButton("Home") self.zoom_in_button.clicked.connect(self.zoom_in) self.zoom_out_button.clicked.connect(self.zoom_out) self.home_button.clicked.connect(self.home) button_layout = QHBoxLayout() button_layout.addWidget(self.zoom_in_button) button_layout.addWidget(self.zoom_out_button) button_layout.addWidget(self.home_button) vlayout.addLayout(button_layout) self.setLayout(vlayout) def zoom_in(self): self.chart_view.chart().zoomIn() def zoom_out(self): self.chart_view.chart().zoomOut() def home(self): self.chart_view.chart().zoomReset() @staticmethod def getCurvature(spline_data): """Curvature and radius of curvature of a parametric curve der1 is dx/dt and dy/dt at each point der2 is d2x/dt2 and d2y/dt2 at each point Returns: float: Tuple of numpy arrays carrying gradient of the curve, the curvature, radiusses of curvature circles and curvature circle centers for each point of the curve """ coo = spline_data[0] der1 = spline_data[3] der2 = spline_data[4] xd = der1[0] yd = der1[1] x2d = der2[0] y2d = der2[1] n = xd**2 + yd**2 d = xd*y2d - yd*x2d # gradient dy/dx = dy/du / dx/du gradient = der1[1] / der1[0] # radius of curvature R = n**(3./2.) / abs(d) # curvature C = d / n**(3./2.) # coordinates of curvature-circle center points xc = coo[0] - R * yd / np.sqrt(n) yc = coo[1] + R * xd / np.sqrt(n) return [gradient, C, R, xc, yc] @staticmethod def getLeRadius(spline_data, curvature_data): """Identify leading edge radius, i.e. smallest radius of parametric curve Returns: FLOAT: leading edge radius, its center and related contour point and id """ radius = curvature_data[2] rc = np.min(radius) # numpy where returns a tuple # we take the first element, which is type array le_id = np.where(radius == rc)[0] # convert the numpy array to a list and take the first element le_id = le_id.tolist()[0] # leading edge curvature circle center xc = curvature_data[3][le_id] yc = curvature_data[4][le_id] xr, yr = spline_data[0] xle = xr[le_id] yle = yr[le_id] return rc, xc, yc, xle, yle, le_id def analyze(self): """get specific curve properties""" if not self.mainwindow.airfoil.spline_data: self.mainwindow.slots.messageBox('Please do splining first') return spline_data = self.mainwindow.airfoil.spline_data curvature_data = ContourAnalysis.getCurvature(spline_data) # add new attributes to airfoil instance self.mainwindow.airfoil.curvature_data = curvature_data self.drawContour() def drawContour(self, quantity='gradient'): """quantity is one of 'gradient', 'curvature', 'radius' """ spline_data = self.mainwindow.airfoil.spline_data curvature_data = self.mainwindow.airfoil.curvature_data selector = {'gradient': 0, 'curvature': 1, 'radius': 2} points = [QtCore.QPointF(x, y) for x, y in zip(spline_data[0][0], curvature_data[selector[quantity]])] self.lineSeries = QLineSeries() self.lineSeries.append(points) self.chart.removeAllSeries() self.chart.addSeries(self.lineSeries) self.chart.setAxisX(self.axisX, self.lineSeries) self.chart.setAxisY(self.axisY, self.lineSeries) ================================================ FILE: src/Elliptic.py ================================================ import copy import numpy as np from Utils import Utils import logging logger = logging.getLogger(__name__) class Elliptic: def __init__(self, ulines): self.ulines = ulines self.nx = np.array(self.ulines).shape[1] self.ny = np.array(self.ulines).shape[0] # initialize coordinate array self.x = np.empty((self.nx, self.ny)) self.y = np.empty_like(self.x) # map coordinates from ulines to i,j index self.mapUlines() def mapUlines(self): for j, uline in enumerate(self.ulines): for i, u in enumerate(uline): self.x[i, j] = u[0] self.y[i, j] = u[1] def mapToUlines(self): self.new_ulines = list() for j, uline in enumerate(self.ulines): new_uline = list() for i, u in enumerate(uline): new_uline.append((self.xn[i, j], self.yn[i, j])) self.new_ulines.append(new_uline) @staticmethod def curveNormals(x, y, closed=False): istart = 0 iend = 0 n = list() for i, _ in enumerate(x): if closed: if i == len(x) - 1: iend = -i - 1 else: if i == 0: istart = 1 if i == len(x) - 1: iend = -1 a = np.array([x[i + 1 + iend] - x[i - 1 + istart], y[i + 1 + iend] - y[i - 1 + istart]]) e = Utils.unit_vector(a) n.append([e[1], -e[0]]) istart = 0 iend = 0 return np.array(n) def smooth(self, iterations=10, tolerance=1e-3, bnd_type=None, verbose=False): self.mapUlines() self.xn = copy.deepcopy(self.x) self.yn = copy.deepcopy(self.y) # calculate normals at boundaries # used for Neumann boundary conditions normals_left = self.curveNormals(self.xn[0, :], self.yn[0, :]) normals_right = self.curveNormals(self.xn[-1, :], self.yn[-1, :]) normals_top = self.curveNormals(self.xn[:, -1], self.yn[:, -1]) normals_bottom = self.curveNormals(self.xn[:, 0], self.yn[:, 0]) for iteration in range(iterations): # loop internal nodes, index a[0, 0] refers to the first internal node for i in range(1, self.nx - 1): for j in range(1, self.ny - 1): # g22 alpha = 1./4. * ( (self.x[i, j+1] - self.x[i, j-1])**2 \ + (self.y[i, j+1] - self.y[i, j-1])**2 ) # g11 gamma = 1./4. * ( (self.x[i+1, j] - self.x[i-1, j])**2 \ + (self.y[i+1, j] - self.y[i-1, j])**2 ) # g12 beta = 1./16. * ( ( self.x[i+1, j] - self.x[i-1, j] ) \ * ( self.x[i, j+1] - self.x[i, j-1] ) \ + ( self.y[i+1, j] - self.y[i-1, j] ) \ * ( self.y[i, j+1] - self.y[i, j-1] ) ) # calculate new x-coordinate self.xn[i,j] = -0.5 / (alpha + gamma + 1.e-9) \ * (2. * beta * ( self.x[i+1, j+1] - self.x[i-1, j+1] \ - self.x[i+1, j-1] + self.x[i-1, j-1] ) \ - alpha * ( self.x[i+1, j] + self.x[i-1, j] ) \ - gamma * ( self.x[i, j+1] + self.x[i, j-1] ) ) # calculate new y-coordinate self.yn[i,j] = -0.5 / (alpha + gamma + 1.e-9) \ * (2. * beta * ( self.y[i+1, j+1] - self.y[i-1, j+1] \ - self.y[i+1, j-1] + self.y[i-1, j-1] ) \ - alpha * ( self.y[i+1, j] + self.y[i-1, j] ) \ - gamma * ( self.y[i, j+1] + self.y[i, j-1] ) ) # Neumann boundary conditions (normal to boundary here) # project vector a (boundary node to internal node) # onto vector b (normal vector at boundary) and move # internal node to this position if bnd_type == 'Neumann': if j == 1: a = [self.xn[i,1] - self.xn[i,0], self.yn[i,1] - self.yn[i,0]] b = normals_bottom[i] projected = np.dot(a, b) / np.dot(b, b) * b self.xn[i,1] = self.xn[i,0] + projected[0] self.yn[i,1] = self.yn[i,0] + projected[1] elif i == self.nx - 1: pass elif j == 1: pass elif j == self.ny - 1: pass tol = np.max(np.abs(self.xn - self.x)) + np.max(np.abs(self.yn - self.y)) if verbose: logger.info(f'Iteration={iteration+1:3d}, residual={tol:.3e}') if tol < tolerance: break # update coordinates for next iteration self.x = copy.deepcopy(self.xn) self.y = copy.deepcopy(self.yn) # map coordinates back to uline data structure self.mapToUlines() return self.new_ulines ================================================ FILE: src/FileDialog.py ================================================ import os from Settings import DIALOGFILTER, OUTPUTDATA, AIRFOILDATA from PySide6 import QtWidgets class Dialog: def __init__(self, filter=DIALOGFILTER): self.names = [] # DIALOGFILTER = 'Airfoil contour files (*.dat *.txt)' self.filter = filter def saveFilename(self, filename=None): """Summary Args: filename (None, optional): If given, then it is displayed as default value in the dialog Returns: string: filename inlcuding path to filename string: filter which was selected """ path = os.path.join(OUTPUTDATA, filename) filename, selected_filter = QtWidgets.QFileDialog.getSaveFileName( None, 'Save File As', path, self.filter, selectedFilter='*') return filename, selected_filter def openFilename(self, directory=AIRFOILDATA): """Summary Returns: string: filename inlcuding path to filename string: filter which was selected """ filename, selected_filter = QtWidgets.QFileDialog.getOpenFileName( None, 'Open File', directory, self.filter, '') return filename, selected_filter def setFilter(self, filter): self.filter = filter ================================================ FILE: src/FileSystem.py ================================================ import os from PySide6 import QtGui, QtCore, QtWidgets from Settings import AIRFOILDATA, FILEFILTER, ICONS_L import logging logger = logging.getLogger(__name__) class FileSystemModel(QtWidgets.QFileSystemModel): def __init__(self): super().__init__() self.setFilter(QtCore.QDir.AllDirs | QtCore.QDir.Files | QtCore.QDir.NoDotAndDotDot) self.setNameFilters(FILEFILTER) # if true, filtered files are shown, but grey # if false they are not shown self.setNameFilterDisables(False) # get MainWindow instance (overcomes handling parents) self.mainwindow = QtCore.QCoreApplication.instance().mainwindow # set path for FileSytemModel to location of airfoil data path = os.path.abspath(AIRFOILDATA) self.setRootPath(path) # inherited from QAbstractItemModel def data(self, index, role): """ This function partly overrides the standard QFileSystemModel data function to return custom file and folder icons """ fileInfo = self.getFileInfo(index)[4] if role == QtCore.Qt.DecorationRole: if fileInfo.isDir(): return QtGui.QPixmap(os.path.join(ICONS_L, 'Folder.png')) elif fileInfo.isFile(): return QtGui.QPixmap(os.path.join(ICONS_L, 'airfoil.png')) # return QtWidgets.QFileSystemModel.data(self, index, role) return super().data(index, role) # @QtCore.Slot(QtCore.QModelIndex) def onFileSelected(self, index): fileInfo = self.getFileInfo(index)[4] if fileInfo.isDir(): return name = self.getFileInfo(index)[0] logger.info('Airfoil {} selected'.format(name)) # @QtCore.Slot(QtCore.QModelIndex) def onFileLoad(self, index): fileInfo = self.getFileInfo(index)[4] if fileInfo.isDir(): return fullname = self.getFileInfo(index)[2] self.mainwindow.slots.loadAirfoil(fullname, comment='#') def getFileInfo(self, index): fileInfo = self.fileInfo(index) path = fileInfo.absolutePath() name = fileInfo.fileName() ext = fileInfo.suffix() fullname = fileInfo.absoluteFilePath() logger.debug('FileInfo', [name, path, fullname, ext, fileInfo]) return [name, path, fullname, ext, fileInfo] ================================================ FILE: src/GraphicsItem.py ================================================ from PySide6 import QtGui, QtCore, QtWidgets class GraphicsItem(QtWidgets.QGraphicsItem): """ From the QT docs: To write your own graphics item, you first create a subclass of QGraphicsItem, and then start by implementing its two pure virtual public functions: boundingRect(), which returns an estimate of the area painted by the item, and paint(), which implements the actual painting. """ def __init__(self, item): """ Args: item (object): GraphicsItemsCollection object """ super().__init__() # get MainWindow instance (overcomes handling parents) self.mainwindow = QtCore.QCoreApplication.instance().mainwindow self.scene = self.mainwindow.scene self.setFlag(QtWidgets.QGraphicsItem.ItemIsMovable, False) self.setFlag(QtWidgets.QGraphicsItem.ItemIsSelectable, False) self.setFlag(QtWidgets.QGraphicsItem.ItemIsFocusable, True) # docs: For performance reasons, these notifications # are disabled by default. # needed for : ItemScaleHasChanged self.setFlag(QtWidgets.QGraphicsItem.ItemSendsGeometryChanges, True) self.setAcceptHoverEvents(True) # method of QPainter self.method = item.method self.args = item.args self.pen = item.pen self.penwidth = item.pen.width() self.brush = item.brush self.rect = QtCore.QRectF(item.rect) self.setToolTip(item.tooltip) self.scale = item.scale self.font = item.font self.item_shape = item.shape self.hoverstyle = QtCore.Qt.SolidLine self.hoverwidth = 2. if hasattr(item, 'name'): self.name = item.name # initialize bounding rectangle (including penwidth) self.setBoundingRect() def itemChange(self, change, value): if change == QtWidgets.QGraphicsItem.ItemSelectedHasChanged: # when selecting an airfoil item in the graphics view # select the respective item in Toolbox/MyListWidget # which contains a list of loaded airfoils if not hasattr(self, 'name'): # return if no name, e.g. when test items are loaded # from Graphicstest. These are not listed in MyListWidget return centralwidget = self.mainwindow.centralwidget itms = centralwidget.toolbox.listwidget. \ findItems(self.name, QtCore.Qt.MatchExactly) if self.isSelected(): for itm in itms: itm.setSelected(True) # centralwidget.toolbox.listwidget. \ # setItemSelected(itm, True) else: for itm in itms: itm.setSelected(False) # centralwidget.toolbox.listwidget. \ # setItemSelected(itm, False) # give focus to listwidget so that highlighting works # (at least for short period until mouse is moved) centralwidget.toolbox.listwidget.setFocus() return QtWidgets.QGraphicsItem.itemChange(self, change, value) def mousePressEvent(self, event): # set item as topmost in stack # zstack = [itm.zValue() for itm in self.scene.items()] # zmax = max(zstack) # self.setZValue(zmax + 1) self.setSelected(True) # handle event super().mousePressEvent(event) def mouseReleaseEvent(self, event): self.setCursor(QtGui.QCursor(QtCore.Qt.ArrowCursor)) # handle event super().mouseReleaseEvent(event) def mouseMoveEvent(self, event): # handle event super().mouseMoveEvent(event) def shape(self): # this function may be overwritten when subclassing QGraphicsItem # it gives more accurate results for collision detection, etc. return self.item_shape def boundingRect(self): # this function must be overwritten when subclassing QGraphicsItem # bounding box rect shall be set to the bounds of the item. Due to the # line thickness this rect is bigger than the rect of the ellipse or # rect, etc. # rect + line thickness is size return self.boundingrect def setBoundingRect(self): # FIXME # FIXME self.penwidth is in pixels, most probably needs # FIXME to be transformed to scene coordinates # FIXME maybe updated when refactoring GraphicsitemCollection # FIXME and its usage # FIXME pw = 0.0 self.boundingrect = QtCore.QRectF(self.rect.left()-pw/2, self.rect.top()-pw/2, self.rect.width()+pw, self.rect.height()+pw) def paint(self, painter, option, widget): # this function must be overwritten when subclassing QGraphicsItem painter.setBrush(self.brush) painter.setPen(self.pen) painter.setFont(self.font) # draw the gridline aliased, that makes them looking "sharper" if self.method == 'drawPolyline': painter.setRenderHint(QtGui.QPainter.Antialiasing, False) else: painter.setRenderHint(QtGui.QPainter.Antialiasing, True) # care for difference between objects and text # i.e. normally y-coordinates go top down # to make a normal coordinate system y-axis is swapped in PGraphicsview # since PyQT does this automatically for text in the original setup # the text here needs to be swapped back to be printed correctly # scale on text items therefore in PGraphicsitemsCollection # gets scale (1, -1), all other items get scale (1, 1) painter.scale(self.scale[0], self.scale[1]) # call module painter with its method given by string in self.method # args are arguments to method # painter is a QPainter instance # depending on the method a variable number of arguments is needed # example: # if self.method = 'drawEllipse' # and self.args = QRectF(x, y, w, h) # the call to painter would render as: # painter.drawEllipse(*self.args) getattr(painter, self.method)(*self.args) if self.isSelected(): # draw rectangle around selected item self.drawFocusRect(painter) # make selected item opaque color = self.brush.color() # color.setAlpha(80) brush = QtGui.QBrush(color) painter.setBrush(brush) def drawFocusRect(self, painter): self.focusbrush = QtGui.QBrush() self.focuspen = QtGui.QPen(QtCore.Qt.DashLine) self.focuspen.setColor(QtCore.Qt.darkGray) self.focuspen.setWidthF(1.0) # no pen thickness change when zoomed self.focuspen.setCosmetic(True) # no thickness change when zoomed painter.setBrush(self.focusbrush) painter.setPen(self.focuspen) painter.drawRect(self.boundingRect()) def hoverEnterEvent(self, event): if not self.isSelected(): self.pen.setWidthF(self.penwidth + self.hoverwidth) # handle event super().hoverEnterEvent(event) def hoverLeaveEvent(self, event): self.pen.setWidthF(self.penwidth) # handle event super().hoverLeaveEvent(event) ================================================ FILE: src/GraphicsItemsCollection.py ================================================ from PySide6 import QtGui, QtCore class GraphicsCollection: """Collection of custom graphics items which can be used to draw QGraphicsItems within a scene. The custom items are being made a QGraphicsItem in GraphicsItem. There each method needs 4 attributes: self.rect ... bounding rectangle of the item (drawn when selected) self.shape ... more accurate results for collision detection wrt to bounding rect self.method ... draw method of QPainter (e.g. drawEllipse) self.args ... list of arguments to self.method """ def __init__(self, name=None): pen = QtGui.QPen(QtCore.Qt.SolidLine) pen.setColor(QtGui.QColor(0, 0, 0, 255)) pen.setWidthF(0.2) pen.setJoinStyle(QtCore.Qt.MiterJoin) self.pen = pen self.brush = QtGui.QBrush(QtGui.QColor(255, 255, 0, 255)) self.font = QtGui.QFont('Decorative', 12) self.rect = QtCore.QRectF() self.shape = QtGui.QPainterPath() self.path = QtGui.QPainterPath() self.scale = (1, 1) self.tooltip = '' self.method = '' self.args = [] def Point(self, x, y): # add some pixels to the point rect, so that it can be selected eps = 0.02 self.rect = QtCore.QRectF(x-eps, y-eps, 2.*eps, 2.*eps) self.shape.addRect(self.rect) self.method = 'drawPoint' self.args = [x, y] def Line(self, x1, y1, x2, y2): eps = 0.01 p1 = QtCore.QPointF(x1, y1) p2 = QtCore.QPointF(x2, y2) p1e = QtCore.QPointF(x1-eps, y1-eps) p2e = QtCore.QPointF(x2+eps, y2+eps) self.rect = QtCore.QRectF(p1e, p2e) self.shape.addRect(self.rect) self.method = 'drawLine' self.args = [p1, p2] def Circle(self, x, y, r): self.rect = QtCore.QRectF(x-r, y-r, 2.*r, 2.*r) self.shape.addEllipse(self.rect) self.method = 'drawEllipse' self.args = [self.rect] def Rectangle(self, x, y, w, h): self.rect = QtCore.QRectF(x, y, w, h) self.shape.addRect(self.rect) self.method = 'drawRect' self.args = [self.rect] def Polygon(self, polygon, name=None): """Custom polygon graphics item pre-populated for PGraphicsItem Args: polygon (QPolygonF): x, y coordinates of points """ self.rect = polygon.boundingRect() self.shape.addPolygon(polygon) self.method = 'drawPolygon' self.args = [polygon] # in case of an airfoil its the airfoil name (Airfoil.py) self.name = name self.tooltip = name def Polyline(self, polygon, name=None): """Custom polyline graphics item pre-populated for PGraphicsItem Args: polygon (QPolygonF): x, y coordinates of points """ self.rect = polygon.boundingRect() self.shape.addPolygon(polygon) self.method = 'drawPolyline' self.args = [polygon] def Mesh(self, mesh): self.method = 'drawPath' self.args = [] def Path(self, path): rect = path.boundingRect() self.shape.addRect(rect) self.method = 'drawPath' self.args = [path] def Text(self, x, y, text, font): # since GraphicsView swaps already y-coordinate, text needs to be # flipped back self.scale = (1, -1) thetext = QtGui.QStaticText(text) size = thetext.size() self.rect = QtCore.QRectF(x, y, size.width(), size.height()) self.font = font self.method = 'drawStaticText' self.args = [x, y, thetext] self.shape.addText(x, y, font, text) def setPen(self, pen): self.pen = pen def setBrush(self, brush): self.brush = brush def setRect(self, rect): self.rect = rect def setTooltip(self, tooltip): self.tooltip = tooltip ================================================ FILE: src/GraphicsScene.py ================================================ from PySide6 import QtWidgets import logging logger = logging.getLogger(__name__) class GraphicsScene(QtWidgets.QGraphicsScene): """The graphics scene manages all items which are drawn in the graphics view The coordinates in the scene are the "logical" coordinates. These are the real object coordinates. E.g., an airfoil typically is described in an x-range from 0 to 1 (no units are given for that). So when PyAero loads an airfoil, the GraphicsView provides a view on that graphics item. The "fitallinview" after loading, scales the view so that the airfoil is fully fitting the graphics view which is in pixels or "physical" coordinates. Attributes: parent (TYPE): Description """ def __init__(self, parent=None): # call constructor of QGraphicsScene super().__init__(parent) # set scene to large size so that scrollbars are small (if shown) self.setSceneRect(-50, -50, 100, 100) def mousePressEvent(self, event): """Re-implement QGraphicsView's mousePressEvent handler""" logger.debug('I WAS IN GraphicsScene mousePressEvent') logger.debug('Event accepted: {}'.format(event.isAccepted())) # call original implementation of QGraphicsView mousePressEvent handler super().mousePressEvent(event) def mouseReleaseEvent(self, event): """Re-implement QGraphicsView's mousePressEvent handler""" # call original implementation of QGraphicsView # mouseReleaseEvent handler super().mouseReleaseEvent(event) def mouseMoveEvent(self, event): """Re-implement QGraphicsView's mousePressEvent handler""" # call original implementation of QGraphicsView mouseMoveEvent handler super().mouseMoveEvent(event) ================================================ FILE: src/GraphicsTest.py ================================================ from PySide6 import QtGui, QtCore import GraphicsItemsCollection as gic import GraphicsItem def addTestItems(scene): # add items to the scene circle1 = gic.GraphicsCollection() circle1.Circle(0., 0., 0.1) circle1.pen.setWidthF(0.2) circle1.pen.setColor(QtGui.QColor(0, 0, 0, 255)) circle1.brush.setColor(QtGui.QColor(255, 255, 0, 255)) circle2 = gic.GraphicsCollection() circle2.Circle(-0.3, -0.3, 0.3) circle2.pen.setWidthF(0.02) circle2.pen.setColor(QtGui.QColor(0, 0, 0, 255)) circle2.brush.setColor(QtGui.QColor(255, 0, 0, 255)) circle3 = gic.GraphicsCollection() circle3.Circle(0.5, 0.5, 0.2) circle3.pen.setWidthF(0.02) circle3.pen.setColor(QtGui.QColor(0, 255, 0, 255)) circle3.brush.setColor(QtGui.QColor(30, 30, 255, 100)) circle4 = gic.GraphicsCollection() circle4.Circle(-0.1, 0.4, 0.2) circle4.pen.setWidthF(0.02) circle4.pen.setColor(QtGui.QColor(0, 0, 255, 255)) circle4.brush.setColor(QtGui.QColor(30, 30, 30, 255)) rectangle1 = gic.GraphicsCollection() rectangle1.Rectangle(-0.20, 0.10, 0.70, 0.35) rectangle1.pen.setWidthF(0.02) rectangle1.pen.setColor(QtGui.QColor(0, 0, 255, 255)) rectangle1.brush.setColor(QtGui.QColor(0, 255, 0, 180)) text1 = gic.GraphicsCollection() font = QtGui.QFont('Arial', 20) font.setBold(True) text1.Text(0, 0.90, 'This is a text', font) text1.pen.setColor(QtGui.QColor(50, 30, 200, 255)) point1 = gic.GraphicsCollection() point1.Point(0, 0) point1.pen.setColor(QtGui.QColor(255, 0, 0, 255)) point1.pen.setWidthF(0.02) polygon1 = gic.GraphicsCollection() polygon = QtGui.QPolygonF() polygon.append(QtCore.QPointF(0.20, 0.10)) polygon.append(QtCore.QPointF(0.45, 0.10)) polygon.append(QtCore.QPointF(0.45, -0.40)) polygon.append(QtCore.QPointF(0.15, -0.40)) polygon.append(QtCore.QPointF(0.0, 0.0)) polygon1.pen.setWidthF(0.02) polygon1.pen.setColor(QtGui.QColor(0, 0, 0, 255)) polygon1.brush.setColor(QtGui.QColor(0, 0, 255, 150)) polygon1.Polygon(polygon) # create on the fly scene attributes which can be accessed deleteTestItems scene.itemc1 = GraphicsItem.GraphicsItem(circle1) scene.itemc2 = GraphicsItem.GraphicsItem(circle2) scene.itemc3 = GraphicsItem.GraphicsItem(circle3) scene.itemc4 = GraphicsItem.GraphicsItem(circle4) scene.itemr1 = GraphicsItem.GraphicsItem(rectangle1) # add test items to the scene scene.addItem(scene.itemc1) scene.addItem(scene.itemc2) scene.addItem(scene.itemc3) scene.addItem(scene.itemc4) scene.addItem(scene.itemr1) def deleteTestItems(scene): scene.removeItem(scene.itemc1) scene.removeItem(scene.itemc2) scene.removeItem(scene.itemc3) scene.removeItem(scene.itemc4) scene.removeItem(scene.itemr1) ================================================ FILE: src/GraphicsView.py ================================================ import os import math from PySide6 import QtGui, QtCore, QtWidgets from Settings import ZOOMANCHOR, SCALEINC, MINZOOM, MAXZOOM, \ MARKERSIZE, RUBBERBANDSIZE, VIEWSTYLE, ZOOMDIRECTION import logging logger = logging.getLogger(__name__) # put constraints on rubberband zoom (relative rectangle wdith) RUBBERBANDSIZE = min(RUBBERBANDSIZE, 1.0) RUBBERBANDSIZE = max(RUBBERBANDSIZE, 0.05) class GraphicsView(QtWidgets.QGraphicsView): """The graphics view is the canvas where airfoils are drawn upon Its coordinates are in pixels or "physical" coordinates. Attributes: origin (QPoint): stores location of mouse press parent (QMainWindow): mainwindow instance rubberband (QRubberBand): an instance of the custom rubberband class used for zooming and selecting sceneview (QRectF): stores current view in scene coordinates """ def __init__(self, parent=None, scene=None): """Default settings for graphicsview instance Args: parent (QMainWindow, optional): mainwindow instance """ super().__init__(scene) self.parent = parent self._leftMousePressed = False # allow drops from drag and drop self.setAcceptDrops(True) # use custom rubberband self.rubberband = RubberBand(QtWidgets.QRubberBand.Rectangle, self) # needed for correct mouse wheel zoom # otherwise mouse anchor is wrong; it would use (0, 0) self.setInteractive(True) # set QGraphicsView attributes self.setRenderHints(QtGui.QPainter.Antialiasing | QtGui.QPainter.TextAntialiasing) self.setViewportUpdateMode(QtWidgets.QGraphicsView.FullViewportUpdate) self.setResizeAnchor(QtWidgets.QGraphicsView.AnchorViewCenter) # view behaviour when zooming if ZOOMANCHOR == 'mouse': # point under mouse pointer stays fixed during zoom self.setTransformationAnchor( QtWidgets.QGraphicsView.AnchorUnderMouse) else: # view center stays fixed during zoom self.setTransformationAnchor( QtWidgets.QGraphicsView.AnchorViewCenter) self.setHorizontalScrollBarPolicy(QtCore.Qt.ScrollBarAlwaysOff) self.setVerticalScrollBarPolicy(QtCore.Qt.ScrollBarAlwaysOff) # normally (0, 0) is upperleft corner of view # swap y-axis in order to make (0, 0) lower left # and y-axis pointing upwards self.scale(1, -1) # cache view to be able to keep it during resize self.getSceneFromView() # set background style and color for view self.setBackground(VIEWSTYLE) def setBackground(self, styletype): """Switches between gradient and simple background using style sheets. border-color (in HTML) works only if border-style is set. """ if styletype == 'gradient': style = """ border-style:solid; border-color: lightgrey; border-width: 1px; background-color: QLinearGradient(x1: 0.0, y1: 0.0, x2: 0.0, y2: 1.0, stop: 0.3 white, stop: 1.0 #263a5a); """ # if more stops are needed # stop: 0.3 white, stop: 0.6 #4b73b4, stop: 1.0 #263a5a); } """) else: style = (""" border-style:solid; border-color: lightgrey; \ border-width: 1px; background-color: white;""") self.setStyleSheet(style) def resizeEvent(self, event): """Re-implement QGraphicsView's resizeEvent handler""" # call corresponding base class method super().resizeEvent(event) # scrollbars need to be switched off when calling fitinview from # within resize event otherwise strange recursion can occur self.fitInView(self.sceneview, aspectRadioMode=QtCore.Qt.KeepAspectRatio) def mousePressEvent(self, event): """Re-implement QGraphicsView's mousePressEvent handler""" # status of CTRL key ctrl = event.modifiers() == QtCore.Qt.ControlModifier # if a mouse event happens in the graphics view # put the keyboard focus to the view as well self.setFocus() self.origin = event.pos() # do rubberband zoom only with left mouse button if event.button() == QtCore.Qt.LeftButton: self._leftMousePressed = True self._dragPos = event.pos() if ctrl: self.setCursor(QtCore.Qt.ClosedHandCursor) else: # initiate rubberband origin and size (zero at first) self.rubberband.setGeometry(QtCore.QRect(self.origin, QtCore.QSize())) # show, even at zero size # allows to check later using isVisible() self.rubberband.show() # call corresponding base class method super().mousePressEvent(event) def mouseMoveEvent(self, event): """Re-implement QGraphicsView's mouseMoveEvent handler""" # if a mouse event happens in the graphics view # put the keyboard focus to the view as well self.setFocus() # status of CTRL key ctrl = event.modifiers() == QtCore.Qt.ControlModifier # pan the view with the left mouse button and CRTL down if self._leftMousePressed and ctrl: self.setCursor(QtCore.Qt.ClosedHandCursor) newPos = event.pos() diff = newPos - self._dragPos self._dragPos = newPos # this actually does the pan # no matter if scroll bars are displayed or not self.horizontalScrollBar().setValue( self.horizontalScrollBar().value() - diff.x()) self.verticalScrollBar().setValue( self.verticalScrollBar().value() - diff.y()) if self.rubberband.isVisible() and not ctrl: self.setInteractive(False) self.rubberband.setGeometry( QtCore.QRect(self.origin, event.pos()).normalized()) # call corresponding base class method super().mouseMoveEvent(event) def mouseReleaseEvent(self, event): """Re-implement QGraphicsView's mouseReleaseEvent handler""" self._leftMousePressed = False self.setCursor(QtCore.Qt.ArrowCursor) # do zoom wrt to rect of rubberband if self.rubberband.isVisible(): self.rubberband.hide() rect = self.rubberband.geometry() rectf = self.mapToScene(rect).boundingRect() # zoom the selected rectangle (works on scene coordinates) # zoom rect must be at least 5% of view width to allow zoom if self.rubberband.allow_zoom: self.fitInView(rectf, aspectRadioMode=QtCore.Qt.KeepAspectRatio) # rescale markers during zoom # i.e. keep them constant size self.adjustMarkerSize() # reset to True, so that mouse wheel zoom anchor works self.setInteractive(True) # reset ScrollHandDrag if it was active if self.dragMode() == QtWidgets.QGraphicsView.ScrollHandDrag: self.setDragMode(QtWidgets.QGraphicsView.NoDrag) # call corresponding base class method super().mouseReleaseEvent(event) def wheelEvent(self, event): """Re-implement QGraphicsView's wheelEvent handler""" # detect if event comes from a touchpad or similar (e.g., Apple magic mouse) # then zoom based on pixel delta device = event.device().type().name if device == 'TouchPad': delta = event.pixelDelta().y() damping = 0.0 else: delta = event.angleDelta().y() damping = 0.0 # Determine the scale factor based on the wheel direction factor = SCALEINC - damping scale_factor = 1.0 / factor if delta * ZOOMDIRECTION > 0 else factor # Apply the scaling self.scaleView(scale_factor) # DO NOT CONTINUE HANDLING EVENTS HERE!!! # this would destroy the mouse anchor # call corresponding base class method # super().wheelEvent(event) def keyPressEvent(self, event): """Re-implement QGraphicsView's keyPressEvent handler""" key = event.key() if key == QtCore.Qt.Key_Plus or key == QtCore.Qt.Key_PageDown: f = SCALEINC # if scaling with the keys, the do not use mouse as zoom anchor anchor = self.transformationAnchor() self.setTransformationAnchor(QtWidgets.QGraphicsView.AnchorViewCenter) self.scaleView(f) self.setTransformationAnchor(anchor) if key == QtCore.Qt.Key_PageDown: # return here so that later base class is NOT called # because QAbstractScrollArea would otherwise handle # the event and do something we do not want return elif key == QtCore.Qt.Key_Minus or key == QtCore.Qt.Key_PageUp: f = 1.0 / SCALEINC # if scaling with the keys, the do not use mouse as zoom anchor anchor = self.transformationAnchor() self.setTransformationAnchor(QtWidgets.QGraphicsView.AnchorViewCenter) self.scaleView(f) self.setTransformationAnchor(anchor) if key == QtCore.Qt.Key_PageUp: # return here so that later base class is NOT called # because QAbstractScrollArea would otherwise handle # the event and do something we do not want return elif key == QtCore.Qt.Key_Home: self.parent.slots.onViewAll() elif key == QtCore.Qt.Key_Delete: # removes all selected airfoils self.parent.slots.removeAirfoil() # call corresponding base class method super().keyPressEvent(event) def keyReleaseEvent(self, event): """Re-implement QGraphicsView's keyReleaseEvent handler""" # call corresponding base class method super().keyReleaseEvent(event) def dragEnterEvent(self, event): if event.mimeData().hasUrls(): event.accept() else: event.ignore() def dragLeaveEvent(self, event): pass def dragMoveEvent(self, event): if event.mimeData().hasUrls(): if event.mimeData().hasText(): event.setDropAction(QtCore.Qt.CopyAction) event.accept() else: event.ignore() def dropEvent(self, event): for url in event.mimeData().urls(): path = url.toLocalFile() if os.path.isfile(path): self.parent.slots.loadAirfoil(path, comment='#') def scaleView(self, factor): # check if zoom limits are exceeded # m11 = x-scaling sx = self.transform().m11() too_big = sx > MAXZOOM and factor > 1.0 too_small = sx < MINZOOM and factor < 1.0 if too_big or too_small: return # do the actual zooming self.scale(factor, factor) # rescale markers during zoom, i.e., keep them constant size self.adjustMarkerSize() # cache view to be able to keep it during resize self.getSceneFromView() def adjustMarkerSize(self): """Adjust marker size during zoom. Marker items are circles which are otherwise affected by zoom. Using MARKERSIZE from Settings a fixed markersize (e.g. 3 pixels) can be kept. This method immitates the behaviour of pen.setCosmetic() """ # FIXME # FIXME this fixes an accidential call of this method # FIXME should be fixed by checking when called # FIXME if not self.parent.airfoil: return # current_zoom = self.transform().m11() scale_marker = 1. + 3. * (current_zoom - MINZOOM) / (MAXZOOM - MINZOOM) # scale_marker = 100. # logger.info(f'Current zoom value {current_zoom}') # logger.info(f'Scale factor for markers {scale_marker}') # markers are drawn in GraphicsItem using scene coordinates # in order to keep them constant size, also when zooming # a fixed pixel size (MARKERSIZE from settings) is mapped to # scene coordinates # depending on the zoom, this leads to always different # scene coordinates # map a square with side length of MARKERSIZE to the scene coords mappedMarker = self.mapToScene( QtCore.QRect(0, 0, MARKERSIZE*scale_marker, MARKERSIZE*scale_marker)) mappedMarkerWidth = mappedMarker.boundingRect().width() if self.parent.airfoil.contourPolygon: markers = self.parent.airfoil.polygonMarkers x, y = self.parent.airfoil.raw_coordinates for i, marker in enumerate(markers): # in case of circle, args is a QRectF marker.args = [QtCore.QRectF(x[i] - mappedMarkerWidth, y[i] - mappedMarkerWidth, 2. * mappedMarkerWidth, 2. * mappedMarkerWidth)] # if self.parent.airfoil.contourSpline: if hasattr(self.parent.airfoil, 'contourSpline'): markers = self.parent.airfoil.splineMarkers x, y = self.parent.airfoil.spline_data[0] for i, marker in enumerate(markers): # in case of circle, args is a QRectF marker.args = [QtCore.QRectF(x[i] - mappedMarkerWidth, y[i] - mappedMarkerWidth, 2. * mappedMarkerWidth, 2. * mappedMarkerWidth)] def getSceneFromView(self): """Cache view to be able to keep it during resize""" # map view rectangle to scene coordinates polygon = self.mapToScene(self.rect()) # sceneview describes the rectangle which is currently # being viewed in scene coordinates # this is needed during resizing to be able to keep the view self.sceneview = QtCore.QRectF(polygon[0], polygon[2]) def contextMenuEvent(self, event): """Creates context menu (popup menu) for the graphicsview. This has to be done by reimplementing the contextMenuEvent handler from The QWidget class. """ menu = QtWidgets.QMenu(self) menu.setStyleSheet( """ QMenu{ background-color: #EFEFFF; } QMenu::hover{ background-color: #B0B0FF; } """ ) fitairfoil = menu.addAction('Fit airfoil in view') fitairfoil.setShortcut('CTRL+f') fitall = menu.addAction('Fit all items in view') fitall.setShortcut('HOME, CTRL+SHIFT+f') menu.addSeparator() delitems = menu.addAction('Delete airfoil') delitems.setShortcut('Del') menu.addSeparator() togglebg = menu.addAction('Toggle background') togglebg.setShortcut('CTRL+b') action = menu.exec_(self.mapToGlobal(event.pos())) if action == togglebg: self.parent.slots.onBackground() elif action == fitairfoil: self.parent.slots.fitAirfoilInView() elif action == fitall: self.parent.slots.onViewAll() # remove all selected items from the scene elif action == delitems: self.parent.slots.removeAirfoil() # call corresponding base class method super().contextMenuEvent(event) class RubberBand(QtWidgets.QRubberBand): """Custom rubberband from: http://stackoverflow.com/questions/25642618 """ def __init__(self, *args, **kwargs): super().__init__(*args, **kwargs) self.view = args[1] # set pen and brush (filling) self.pen = QtGui.QPen() self.pen.setStyle(QtCore.Qt.DotLine) self.pen.setColor(QtGui.QColor(80, 80, 100)) self.brush = QtGui.QBrush() color = QtGui.QColor(20, 20, 80, 30) self.brush.setColor(color) # self.brush.setStyle(QtCore.Qt.NoBrush) self.brush.setStyle(QtCore.Qt.SolidPattern) # set style selectively for the rubberband like that # see: http://stackoverflow.com/questions/25642618 # required as opacity might not work # NOTE: opacity removed here self.setStyle(QtWidgets.QStyleFactory.create('windowsvista')) # set boolean for allowing zoom self.allow_zoom = False def paintEvent(self, QPaintEvent): painter = QtGui.QPainter(self) self.pen.setColor(QtGui.QColor(80, 80, 100)) self.pen.setWidthF(1.5) self.pen.setStyle(QtCore.Qt.DotLine) # zoom rect must be at least RUBBERBANDSIZE % of view to allow zoom if (QPaintEvent.rect().width() < RUBBERBANDSIZE * self.view.width()) \ or \ (QPaintEvent.rect().height() < RUBBERBANDSIZE * self.view.height()): self.brush.setStyle(QtCore.Qt.NoBrush) # set boolean for allowing zoom self.allow_zoom = False else: # if rubberband rect is big enough indicate this by fill color color = QtGui.QColor(10, 30, 140, 45) self.brush.setColor(color) self.brush.setStyle(QtCore.Qt.SolidPattern) # set boolean for allowing zoom self.allow_zoom = True painter.setBrush(self.brush) painter.setPen(self.pen) painter.drawRect(QPaintEvent.rect()) ================================================ FILE: src/GuiSlots.py ================================================ import sys import copy import webbrowser import numpy as np import scipy import PySide6 from PySide6 import QtGui, QtCore, QtWidgets, QtPrintSupport import PyAero import Airfoil import FileDialog import GraphicsTest from Settings import DIALOGFILTER, AIRFOILDATA, DEFAULT_CONTOUR import logging logger = logging.getLogger(__name__) class Slots: """This class handles all callback routines for GUI actions PyQt uses signals and slots for GUI events and their respective handlers/callbacks. It is mandatory to decorate the callback functions with the @QtCore.Slot() decorator. """ def __init__(self, parent): """Constructor for Slots class Args: parent (QMainWindow object): MainWindow instance """ self.parent = parent @QtCore.Slot() def onOpen(self): """Summary Returns: TYPE: Description """ file_dialog = FileDialog.Dialog() file_dialog.setFilter(DIALOGFILTER) filename, _ = file_dialog.openFilename(directory=AIRFOILDATA) if not filename: logger.info('No file selected. Nothing saved.') return if 'su2' in filename: self.loadSU2(filename) return self.loadAirfoil(filename) @QtCore.Slot() def onOpenPredefined(self): self.loadAirfoil(DEFAULT_CONTOUR) @QtCore.Slot(str, str) def loadAirfoil(self, filename, comment='#'): fileinfo = QtCore.QFileInfo(filename) name = fileinfo.fileName() airfoil = Airfoil.Airfoil(name) loaded = airfoil.readContour(filename, comment) if not loaded: logger.error(f'Failed to load airfoil from {filename}') return self._clearScene() self._addAirfoilToScene(airfoil) self._updateAirfoilList(name) self.fitAirfoilInView() logger.info(f'Airfoil {name} loaded') def _clearScene(self): self.parent.scene.clear() def _addAirfoilToScene(self, airfoil): airfoil.makeAirfoil() airfoil.addToScene(self.parent.scene) self.parent.airfoil = airfoil self.parent.airfoils.append(airfoil) def _updateAirfoilList(self, name): toolbox = self.parent.centralwidget.toolbox toolbox.header.setEnabled(True) toolbox.listwidget.setEnabled(True) toolbox.listwidget.addItem(name) @QtCore.Slot(str) def loadSU2(self, filename): comment = '%' try: with open(filename, mode='r') as f: lines = f.readlines() except IOError as error: # exc_info=True sends traceback to the logger logger.error('Failed to open file {} with error {}'. format(filename, error), exc_info=True) return False # FIXME # FIXME complete code to read SU2 mesh files # FIXME data = [line for line in lines if comment not in line] @QtCore.Slot() def fitAirfoilInView(self): if len(self.parent.airfoils) == 0: return # get bounding rect in scene coordinates item = self.parent.airfoil.contourPolygon rectf = item.boundingRect() rf = copy.deepcopy(rectf) center = rf.center() # make 4% smaller than width of graphicsview w = 1.04 * rf.width() h = 1.04 * rf.height() # do not use setWidhtF and setHeightF here!!! rf.setWidth(w) rf.setHeight(h) # shift center of rectf cx = center.x() cy = center.y() rf.moveCenter(QtCore.QPointF(cx, cy)) self.parent.view.fitInView(rf, aspectRadioMode=QtCore.Qt.KeepAspectRatio) # it is IMPORTANT that this is called after fitInView # adjust airfoil marker size to MARKERSIZE setting self.parent.view.adjustMarkerSize() # cache view to be able to keep it during resize self.parent.view.getSceneFromView() @QtCore.Slot() def onViewAll(self): """Zoom view in order to fit all items of the scene""" # take all items except markers (as they are adjusted in size for view) rectf = self.parent.scene.itemsBoundingRect() self.parent.view.fitInView(rectf, aspectRadioMode=QtCore.Qt.KeepAspectRatio) # it is IMPORTANT that this is called after fitInView # adjust airfoil marker size to MARKERSIZE setting self.parent.view.adjustMarkerSize() # cache view to be able to keep it during resize self.parent.view.getSceneFromView() @QtCore.Slot() def toggleTestObjects(self): if self.parent.testitems: GraphicsTest.deleteTestItems(self.parent.scene) logger.info('Test items for GraphicsView loaded') else: GraphicsTest.addTestItems(self.parent.scene) logger.info('Test items for GraphicsView removed') self.parent.testitems = not self.parent.testitems @QtCore.Slot() def onSave(self): (fname, thefilter) = QtWidgets.QFileDialog. \ getSaveFileNameAndFilter(self.parent, 'Save file', '.', filter=DIALOGFILTER) if not fname: return with open(fname, 'w') as f: f.write('This test worked for me ...') @QtCore.Slot() def onSaveAs(self): (fname, thefilter) = QtGui. \ QFileDialog.getSaveFileNameAndFilter( self.parent, 'Save file as ...', '.', filter=DIALOGFILTER) if not fname: return with open(fname, 'w') as f: f.write('This test worked for me ...') @QtCore.Slot() def onPrint(self): dialog = QtWidgets.QPrintDialog() if dialog.exec_() == QtGui.QDialog.Accepted: self.parent.editor.document().print_(dialog.printer()) @QtCore.Slot() def onPreview(self): printer = QtPrintSupport.QPrinter(QtPrintSupport.QPrinter.HighResolution) layout = QtGui.QPageLayout() layout.setOrientation(QtGui.QPageLayout.Landscape) layout.setPageSize(QtGui.QPageSize.A3) printer.setPageLayout(layout) preview = QtPrintSupport.QPrintPreviewDialog(printer, self.parent) preview.paintRequested.connect(self.handlePaintRequest) preview.exec() @QtCore.Slot() def handlePaintRequest(self, printer): # render QGraphicsView self.parent.view.render(QtGui.QPainter(printer)) @QtCore.Slot(str) def toggleLogDock(self, _sender): """Switch message log window on/off""" visible = self.parent.messagedock.isVisible() self.parent.messagedock.setVisible(not visible) # update the checkbox if toggling is done via keyboard shortcut if _sender == 'shortcut': checkbox = self.parent.centralwidget.message_window_checkbox checkbox.setChecked(not checkbox.isChecked()) @QtCore.Slot() def onBlockMesh(self): pass @QtCore.Slot(str) def getAirfoilByName(self, name): for airfoil in self.parent.airfoils: if airfoil.name == name: return airfoil return None @QtCore.Slot() def removeAirfoil(self, name=None): """Remove all selected airfoils from the scene""" # look also at toolbox listwidget centralwidget = self.parent.centralwidget listwidget = centralwidget.toolbox.listwidget # the name parameter is only set when coming from listwidget # and the deleting is done via DEL key if name: airfoil = self.getAirfoilByName(name) # FIXME: # FIXME: this does not work # FIXME: needs to delete the selected airfoil from the listwidget # FIXME: elif len(listwidget.selectedItems()) > 0: name = listwidget.selectedItems()[0].text() airfoil = self.getAirfoilByName(name) elif self.parent.airfoil: airfoil = self.parent.airfoil else: print('No airfoil selected for deletion') return # remove airfoil from the list in the list widget self.parent.airfoils.remove(airfoil) # remove from scene only if active airfoil was chosen if airfoil.name == self.parent.airfoil.name: # removes all items from the scene (polygon, chord, mesh, etc.) self.parent.scene.clear() # remove also listwidget entry itms = listwidget.findItems( self.parent.airfoil.name, QtCore.Qt.MatchExactly) for itm in itms: row = listwidget.row(itm) listwidget.takeItem(row) # fit all remaining scene items into the view self.onViewAll() @QtCore.Slot(str) def onMessage(self, msg): # move cursor to the end before writing new message # so in case text inside the log window was selected before # the new text is pastes correct self.parent.messages.moveCursor(QtGui.QTextCursor.End) self.parent.messages.append(msg) @QtCore.Slot() def onExit(self): sys.exit(QtWidgets.QApplication.exit()) @QtCore.Slot() def onCalculator(self): pass @QtCore.Slot() def onBackground(self): if self.parent.view.viewstyle == 'gradient': self.parent.view.viewstyle = 'solid' else: self.parent.view.viewstyle = 'gradient' self.parent.view.setBackground(self.parent.view.viewstyle) @QtCore.Slot() def onLevelChanged(self): """Change size of message window when floating """ if self.parent.messagedock.isFloating(): self.parent.messagedock.resize(600, 300) @QtCore.Slot() def onTextChanged(self): """Move the scrollbar in the message log-window to the bottom. So latest messages are always in the view. """ vbar = self.parent.messages.verticalScrollBar() if vbar: vbar.triggerAction(QtWidgets.QAbstractSlider.SliderToMaximum) @QtCore.Slot() def onTabChanged(self): """Sync tabs and toolboxes """ tabs = self.parent.centralwidget.tabs tab_text = self.parent.centralwidget.tabs.tabText(tabs.currentIndex()) toolbox = self.parent.centralwidget.toolbox if tab_text == 'Airfoil Viewer': toolbox.setCurrentIndex(toolbox.tb1) if tab_text == 'Contour Analysis': toolbox.setCurrentIndex(toolbox.tb3) @QtCore.Slot(str) def messageBox(self, message): QtWidgets.QMessageBox. \ information(self.parent, 'Information', message, QtWidgets.QMessageBox.Ok) @QtCore.Slot() def onKeyBd(self): # automatically populate shortcuts from PMenu.xml text = ' \ ' for eachMenu in self.parent.menudata: for pulldown in eachMenu[1]: if pulldown[2]: if self.parent.platform == 'Darwin': shortcut = pulldown[2].replace('CTRL', 'CMD') # print(pulldown[2], '...', shortcut) else: shortcut = pulldown[2] text += f' \ \ \
\ \ \
\ \ ' text += '
{shortcut}{pulldown[1]}
' textedit = QtWidgets.QTextEdit() textedit.setReadOnly(True) # textedit.setStyleSheet('font-family: Courier; font-size: 14px; ') textedit.setHtml(text) # buttons = QtWidgets.QDialogButtonBox.Ok | QtWidgets.QDialogButtonBox.Cancel buttons = QtWidgets.QDialogButtonBox.Ok buttonBox = QtWidgets.QDialogButtonBox(buttons) # make a dialog to carry the textedit and button widget dlg = QtWidgets.QDialog(self.parent) dlg.setWindowTitle('Keyboard shortcuts') dlg.setFixedSize(800, 900) buttonBox.accepted.connect(dlg.accept) layout = QtWidgets.QVBoxLayout() layout.addWidget(textedit) layout.addWidget(buttonBox) dlg.setLayout(layout) dlg.exec_() @QtCore.Slot() def runCommands(self): '''Automate different actions by simulation of button clicks Call directly a function or using click or animateClick on the respective widget # self.parent.centralwidget.toolbox.splineButton.click # self.parent.centralwidget.toolbox.splineButton.animateClick This feature is mainly used during tesing, as it runs the whole workflow automatically. ''' # load the predefined airfoil self.onOpenPredefined() # spline and refine the contour with defaults self.parent.centralwidget.toolbox.spline_and_refine() # add a blunt trailing edge with defaults self.parent.centralwidget.toolbox.makeTrailingEdge() # generate a mesh using defaults self.parent.centralwidget.toolbox.generateMesh() # export the mesh # self.parent.centralwidget.toolbox.exportMesh() @QtCore.Slot() def onHelpOnline(self): webbrowser.open('http://pyaero.readthedocs.io/en/latest/') @QtCore.Slot() def onHelpPDF(self): webbrowser.open('https://pyaero.readthedocs.io/_/downloads/en/latest/pdf/') @QtCore.Slot() def onAboutQt(self): QtWidgets.QApplication.aboutQt() @QtCore.Slot() def onAbout(self): QtWidgets.QMessageBox. \ about(self.parent, "About " + PyAero.__appname__, "" + PyAero.__appname__ + " is used for " "2D airfoil contour analysis and CFD mesh generation.\

" "" + PyAero.__appname__ + " code under " + PyAero.__license__ + " license. (c) " + PyAero.__copyright__ + "

" "email to: " + PyAero.__email__ + "

" "Embedded Aeropython code under MIT license.
\ (c) 2014 Lorena A. Barba, Olivier Mesnard
" "Link to " + " \ Aeropython (iPython notebook)." + "

" + "VERSIONS:" + "
" + PyAero.__appname__ + ": " + PyAero.__version__ + "
" + "Python: %s" % (sys.version.split()[0]) + "
" + "Numpy: %s" % (np.__version__) + "
" + "Scipy: %s" % (scipy.__version__) + "
" + "Qt for Python: %s" % (PySide6.__version__) + "
" + "Qt: %s" % (PySide6.QtCore.__version__) ) ================================================ FILE: src/HtmlView.py ================================================ from PySide6 import QtGui, QtCore class HtmlView(QtGui.QWebView): """docstring for HtmLvIEW""" def __init__(self, parent): super().__init__(parent) self.parent = parent ================================================ FILE: src/IconProvider.py ================================================ """ The PIconProvider class overwrites QFileIconProvider. This allows to use custom icons in different places of the application (e.g. file dialogs) """ from PySide6 import QtGui, QtCore, QtWidgets from Settings import * class IconProvider(QtWidgets.QFileIconProvider): # call constructor of IconProvider def __init__(self): # call constructor of QFileIconProvider super().__init__() # overwrite icon method of QFileIconProvider def icon(self, icontype): if isinstance(icontype, QtCore.QFileInfo): if icontype.isDir(): return QtGui.QIcon(os.path.join(ICONS_L, 'Folder.png')) if icontype.isFile(): return QtGui.QIcon(os.path.join(ICONS_L, 'Fast delivery.png')) if icontype == QtGui.QFileIconProvider.Folder: return QtGui.QIcon(os.path.join(ICONS_L, 'Folder.png')) if icontype == QtGui.QFileIconProvider.File: return QtGui.QIcon(os.path.join(ICONS_L, 'Fast delivery.png')) return super().icon(icontype) ================================================ FILE: src/Logger.py ================================================ import os import logging import datetime from Settings import LOGDATA class GuiHandler(logging.Handler): """ Class to redistribute python logging data from https://stackoverflow.com/a/36017801/2264936 """ # have a class member to store the existing logger logger_instance = logging.getLogger('') def __init__(self, parent=None, *args): # Initialize the Handler super().__init__(*args) self.parent = parent # make the logger send data to this class self.logger_instance.addHandler(self) def emit(self, record): """ Overload of logging.Handler method """ record = self.format(record) self.parent.slots.onMessage(record) def log(mainwindow): useGUI = True if mainwindow == 'file_only': useGUI = False logging.basicConfig(level=logging.INFO) # logging.getLogger('') gets the 'root' logger # stdout is the only handler initially # see https://stackoverflow.com/a/6459613/2264936 stdout_handler = logging.getLogger('').handlers[0] format = 'PyAero_%Y-%m-%d____h%H-m%M-s%S.log' logfile = os.path.join(LOGDATA, datetime.datetime.now().strftime(format)) # create a file handler file_handler = logging.FileHandler(logfile) file_handler.setLevel(logging.DEBUG) # create a console handler (for error messages) console_handler = logging.StreamHandler() console_handler.setLevel(logging.ERROR) # create a gui handler (for writing to the message dock window) if useGUI: gui_handler = GuiHandler(parent=mainwindow) gui_handler.setLevel(logging.INFO) # create specific logging formats file_formatter = logging.Formatter('%(asctime)s - %(name)s - %(levelname)s - %(message)s') console_formatter = logging.Formatter('%(name)s - %(levelname)s - %(message)s') if useGUI: gui_formatter = logging.Formatter('%(levelname)s - %(message)s') # apply formats to handlers file_handler.setFormatter(file_formatter) console_handler.setFormatter(console_formatter) if useGUI: gui_handler.setFormatter(gui_formatter) # add the handlers to the root logger logging.getLogger('').addHandler(file_handler) logging.getLogger('').addHandler(console_handler) if useGUI: logging.getLogger('').addHandler(gui_handler) # remove the standard handler from the root logger # it would log everything to the console automatically # see https://stackoverflow.com/a/6459613/2264936 logging.getLogger('').removeHandler(stdout_handler) # getLogger with __name__ retruns a logger for the current module (here Logger) # example log message of level INFO preceeded by module name # 2018-09-30 18:18:47,559 - Logger - INFO - Starting to log logger = logging.getLogger(__name__) logger.info('Starting to log') ================================================ FILE: src/MenusTools.py ================================================ import os import platform import xml.etree.ElementTree as etree from PySide6 import QtGui, QtCore, QtWidgets from Settings import ICONS_S, ICONS_L, MENUDATA import logging logger = logging.getLogger(__name__) class MenusTools: # call constructor of MenusTools def __init__(self, parent=None): self.parent = parent def getMenuData(self): """get all menus and pulldowns from the external XML file""" menudata = list() xml_file = os.path.join(MENUDATA, 'PMenu.xml') xml = etree.parse(xml_file) menu_structure = xml.getroot() for menu in menu_structure.findall('Menubar'): mname = menu.attrib['name'] items = menu.findall('Submenu') pulldowns = self.getPullDownData(items) menudata.append((mname, [s for s in pulldowns])) # attach available pulldowns to the mainwindow # so it can be used elsewhere (e.g. Guislots) self.parent.menudata = menudata return tuple(menudata) def getPullDownData(self, items): pulldowns = list() for sub in items: sname = sub.attrib['name'] if sname == 'Separator': pulldowns.append(('', '', '', '', self.onPass)) continue tip = sub.attrib['tip'] icon = sub.attrib['icon'] shortcut = sub.attrib['short'] handler = sub.attrib['handler'] pulldowns.append((sname, tip, shortcut, icon, handler)) return pulldowns def createMenus(self): """create the menubar and populate it automatically""" # create a menu bar # self.menubar = QtWidgets.QMenuBar() self.menubar = self.parent.menuBar() # for MacOS in order that the menu stays with the window pltf = platform.system() if 'Darwin' in pltf: self.menubar.setNativeMenuBar(False) for eachMenu in self.getMenuData(): name = eachMenu[0] menu = self.menubar.addMenu(name) pulldown = eachMenu[1] self.createPullDown(menu, pulldown) return def createPullDown(self, menu, eachPullDown): """create the submenu structure to method createMenus""" for name, tip, short, icon, handler in eachPullDown: if len(name) == 0: menu.addSeparator() continue icon = QtGui.QIcon(os.path.join(ICONS_S, icon)) logger.debug('HANDLER: {}'.format(handler)) handler = 'self.parent.slots.' + handler action = QtGui.QAction(icon, name, self.parent, shortcut=short, statusTip=tip, triggered=eval(handler)) action.setStatusTip(tip) action.setShortcut(short) # action.triggered.connect(eval(handler)) menu.addAction(action) def getToolbarData(self): """get all menus and submenus from the external XML file""" xml_file = os.path.join(MENUDATA, 'PToolBar.xml') xml = etree.parse(xml_file) tool_structure = xml.getroot() tooldata = list() for toolbar in tool_structure.findall('Toolbar'): for tool in toolbar.findall('Tool'): if tool.attrib['handler'] == 'self.onPass': tooldata.append(('', '', '', '', self.onPass)) continue tip = tool.attrib['tip'] icon = tool.attrib['icon'] handler = tool.attrib['handler'] tooldata.append((tip, icon, handler)) return tuple(tooldata) def createTools(self): """create the toolbar and populate it automatically from method toolData """ # create a toolbar self.toolbar = QtWidgets.QToolBar('Toolbar') self.parent.addToolBar(self.toolbar) for tip, icon, handler in self.getToolbarData(): if len(tip) == 0: self.toolbar.addSeparator() continue icon = QtGui.QIcon(os.path.join(ICONS_L, icon)) # guislot converts to: # self.parent.slots.slotMethod() guislot = getattr(self.parent.slots, handler) action = QtGui.QAction(icon, tip, parent=self.parent) # action.setIcon(icon) # action.setToolTip(tip) action.triggered.connect(guislot) self.toolbar.addAction(action) def createDocks(self): self.parent.messagedock = QtWidgets.QDockWidget(self.parent) self.parent.messagedock. \ setFeatures(QtWidgets.QDockWidget.DockWidgetMovable | QtWidgets.QDockWidget.DockWidgetFloatable) self.parent.messagedock.setWindowTitle('Messages') self.parent.messagedock.setMinimumSize(100, 50) # connect messagedock to slot self.parent.messagedock.topLevelChanged.connect( self.parent.slots.onLevelChanged) self.parent.messages = QtWidgets.QTextEdit(self.parent) self.parent.messages. \ setTextInteractionFlags(QtCore.Qt.TextSelectableByMouse | QtCore.Qt.TextSelectableByKeyboard) # connect messages to scrollhandler self.parent.messages.textChanged.connect( self.parent.slots.onTextChanged) self.parent.messagedock.setWidget(self.parent.messages) place = QtCore.Qt.BottomDockWidgetArea self.parent.addDockWidget( QtCore.Qt.DockWidgetArea(place), self.parent.messagedock) def onPass(self): pass ================================================ FILE: src/Meshing.py ================================================ import os import copy from datetime import date import locale import numpy as np from scipy import interpolate from PySide6 import QtGui, QtCore, QtWidgets import PyAero import GraphicsItemsCollection as gic import GraphicsItem import Elliptic import Connect from Smooth_angle_based import SmoothAngleBased from Utils import Utils from Settings import OUTPUTDATA import logging logger = logging.getLogger(__name__) class Windtunnel: """ The Windtunnel class is responsible for generating a computational fluid dynamics (CFD) mesh around an airfoil within a wind tunnel. It includes methods for creating different parts of the mesh, such as the airfoil mesh, trailing edge mesh, tunnel mesh, and tunnel wake mesh. Additionally, it provides functionality for mesh quality assessment, drawing the mesh, and exporting the mesh in various formats. """ def __init__(self): # contains list of BlockMesh objects self.blocks = [] # get MainWindow instance (overcomes handling parents) self.mainwindow = QtCore.QCoreApplication.instance().mainwindow def AirfoilMesh(self, name='', contour=None, divisions=15, ratio=3.0, thickness=0.04): # get airfoil contour coordinates x, y = contour # make a list of point tuples # [(x1, y1), (x2, y2), (x3, y3), ... , (xn, yn)] line = list(zip(x, y)) # block mesh around airfoil contour self.block_airfoil = BlockMesh(name=name) self.block_airfoil.addLine(line) # self.block_airfoil.extrudeLine(line, length=thickness, direction=3, # divisions=divisions, ratio=ratio) self.block_airfoil.extrudeLine_cell_thickness(line, cell_thickness=thickness, growth=ratio, divisions=divisions, direction=3) self.blocks.append(self.block_airfoil) def TrailingEdgeMesh(self, name='', te_divisions=3, thickness=0.04, divisions=10, ratio=1.05): # compile first line of trailing edge block first = self.block_airfoil.getLine(number=0, direction='v') last = self.block_airfoil.getLine(number=-1, direction='v') last_reversed = copy.deepcopy(last) last_reversed.reverse() vec = np.array(first[0]) - np.array(last[0]) line = copy.deepcopy(last_reversed) # in case of TE add the points from the TE if self.mainwindow.airfoil.has_TE: for i in range(1, te_divisions): p = last_reversed[-1] + float(i) / te_divisions * vec # p is type numpy.float, so convert it to float line.append((float(p[0]), float(p[1]))) line += first # handle case with sharp trailing edge else: line += first[1:] # trailing edge block mesh block_te = BlockMesh(name=name) block_te.addLine(line) # block_te.extrudeLine(line, length=length, direction=4, # divisions=divisions, ratio=ratio) block_te.extrudeLine_cell_thickness(line, cell_thickness=thickness, growth=ratio, divisions=divisions, direction=4) # equidistant point distribution block_te.distribute(direction='u', number=-1) # make a transfinite interpolation # i.e. recreate points inside the block block_te.transfinite() self.block_te = block_te self.blocks.append(block_te) def TunnelMesh(self, name='', tunnel_height=2.0, divisions_height=100, ratio_height=10.0, dist='symmetric', smoothing_algorithm='simple', smoothing_iterations=10, smoothing_tolerance=1e-3): block_tunnel = BlockMesh(name=name) self.tunnel_height = tunnel_height # line composed of trailing edge and airfoil meshes line = self.block_te.getVLines()[-1] line.reverse() del line[-1] line += self.block_airfoil.getULines()[-1] del line[-1] line += self.block_te.getVLines()[0] block_tunnel.addLine(line) # line composed of upper, lower and front line segments p1 = np.array((block_tunnel.getULines()[0][0][0], tunnel_height)) p2 = np.array((0.0, tunnel_height)) p3 = np.array((0.0, -tunnel_height)) p4 = np.array((block_tunnel.getULines()[0][-1][0], -tunnel_height)) # upper line of wind tunnel line = list() vec = p2 - p1 for t in np.linspace(0.0, 1.0, 10): p = p1 + t * vec line.append(p.tolist()) del line[-1] # front half circle of wind tunnel for phi in np.linspace(90.0, 270.0, 200): phir = np.radians(phi) x = tunnel_height * np.cos(phir) y = tunnel_height * np.sin(phir) line.append((x, y)) del line[-1] # lower line of wind tunnel vec = p4 - p3 for t in np.linspace(0.0, 1.0, 10): p = p3 + t * vec line.append(p.tolist()) # make numpy array line = np.array(line) # interpolate a spline through line # at this point "line" is the big "C" of the windtunnel until TE tck, _ = interpolate.splprep(line.T, s=0, k=1) # point distribution on upper, front and lower part if dist == 'symmetric': ld = -1.3 ud = 1.3 if dist == 'lower': ld = -1.2 ud = 1.5 if dist == 'upper': ld = -1.5 ud = 1.2 xx = np.linspace(ld, ud, len(block_tunnel.getULines()[0])) t = (np.tanh(xx) + 1.0) / 2.0 # calculate new points on the big "C" according to t distribution xs, ys = interpolate.splev(t, tck, der=0) line = list(zip(xs.tolist(), ys.tolist())) block_tunnel.addLine(line) p5 = np.array(block_tunnel.getULines()[0][0]) p6 = np.array(block_tunnel.getULines()[0][-1]) # first vline vline1 = BlockMesh.makeLine(p5, p1, divisions=divisions_height, ratio=ratio_height) # last vline vline2 = BlockMesh.makeLine(p6, p4, divisions=divisions_height, ratio=ratio_height) boundary = [block_tunnel.getULines()[0], block_tunnel.getULines()[-1], vline1, vline2] block_tunnel.transfinite(boundary=boundary) # blending between normals (inner lines) and transfinite (outer lines) ulines = list() old_ulines = block_tunnel.getULines() for j, uline in enumerate(block_tunnel.getULines()): # skip first and last line if j == 0 or j == len(block_tunnel.getULines()) - 1: ulines.append(uline) continue line = list() xo, yo = list(zip(*old_ulines[0])) xo = np.array(xo) yo = np.array(yo) normals = BlockMesh.curveNormals(xo, yo) for i, point in enumerate(uline): # skip first and last point if i == 0 or i == len(uline) - 1: line.append(point) continue pt = np.array(old_ulines[j][i]) pto = np.array(old_ulines[0][i]) vec = pt - pto # projection of vec into normal dist = np.dot(vec, normals[i]) / np.linalg.norm(normals[i]) pn = pto + dist * normals[i] v = float(j) / float(len(block_tunnel.getULines())) exp = 0.6 pnew = (1.0 - v**exp) * pn + v**exp * pt line.append((pnew.tolist()[0], pnew.tolist()[1])) ulines.append(line) block_tunnel = BlockMesh(name=name) for uline in ulines: block_tunnel.addLine(uline) # make transfinite interpolation from boundary lines ij = [0, 30, 0, len(block_tunnel.getULines()) - 1] block_tunnel.transfinite(ij=ij) ij = [len(block_tunnel.getVLines()) - 31, len(block_tunnel.getVLines()) - 1, 0, len(block_tunnel.getULines()) - 1] block_tunnel.transfinite(ij=ij) # FIXME: # FIXME: refactoring needed here (put smoother in blockmesh class) # FIXME: and refactor complete meshing functions # FIXME: if smoothing_algorithm == 'simple': # FIXME: # FIXME: this can be improved # FIXME: and at least documented # FIXME: smooth = Smooth(block_tunnel) nodes = smooth.selectNodes(domain='interior') block_tunnel = smooth.smooth(nodes, iterations=1, algorithm='laplace') ij = [1, 30, 1, len(block_tunnel.getULines()) - 2] nodes = smooth.selectNodes(domain='ij', ij=ij) block_tunnel = smooth.smooth(nodes, iterations=2, algorithm='laplace') ij = [len(block_tunnel.getVLines()) - 31, len(block_tunnel.getVLines()) - 2, 1, len(block_tunnel.getULines()) - 2] nodes = smooth.selectNodes(domain='ij', ij=ij) block_tunnel = smooth.smooth(nodes, iterations=3, algorithm='laplace') elif smoothing_algorithm == 'elliptic': # elliptic grid generation smoother = Elliptic.Elliptic(block_tunnel.getULines()) new_ulines = smoother.smooth(iterations=smoothing_iterations, tolerance=smoothing_tolerance, bnd_type=None, # can be 'Neumann' verbose=True) block_tunnel.setUlines(new_ulines) elif smoothing_algorithm == 'angle_based': smoother = SmoothAngleBased(block_tunnel, data_source='block') smoothed_vertices = smoother.smooth(iterations=smoothing_iterations, tolerance=smoothing_tolerance, verbose=True) new_ulines = smoother.mapToUlines(smoothed_vertices) block_tunnel.setUlines(new_ulines) self.block_tunnel = block_tunnel self.blocks.append(block_tunnel) def TunnelMeshWake(self, name='', tunnel_wake=2.0, divisions=100, ratio=0.1, spread=0.4): chord = 1.0 block_tunnel_wake = BlockMesh(name=name) # line composed of trailing edge and block_tunnel meshes line = self.block_tunnel.getVLines()[-1] line.reverse() del line[-1] line += self.block_te.getULines()[-1] del line[-1] line += self.block_tunnel.getVLines()[0] block_tunnel_wake.addLine(line) # p1 = np.array((self.block_te.getULines()[-1][0][0], self.tunnel_height)) p4 = np.array((self.block_te.getULines()[-1][-1][0], - self.tunnel_height)) p7 = np.array((tunnel_wake + chord, self.tunnel_height)) p8 = np.array((tunnel_wake + chord, -self.tunnel_height)) upper = BlockMesh.makeLine(p7, p1, divisions=divisions, ratio=1.0 / ratio) lower = BlockMesh.makeLine(p8, p4, divisions=divisions, ratio=1.0 / ratio) left = line right = BlockMesh.makeLine(p8, p7, divisions=len(left) - 1, ratio=1.0) boundary = [upper, lower, right, left] block_tunnel_wake.transfinite(boundary=boundary) # equalize division line in wake for i, u in enumerate(block_tunnel_wake.getULines()[0]): if u[0] < chord + tunnel_wake * spread: ll = len(block_tunnel_wake.getULines()[0]) line_no = -ll + i break block_tunnel_wake.distribute(direction='v', number=line_no) # transfinite left of division line ij = [len(block_tunnel_wake.getVLines()) + line_no, len(block_tunnel_wake.getVLines()) - 1, 0, len(block_tunnel_wake.getULines()) - 1] block_tunnel_wake.transfinite(ij=ij) # transfinite right of division line ij = [0, len(block_tunnel_wake.getVLines()) + line_no, 0, len(block_tunnel_wake.getULines()) - 1] block_tunnel_wake.transfinite(ij=ij) self.block_tunnel_wake = block_tunnel_wake self.blocks.append(block_tunnel_wake) def makeMesh(self): toolbox = self.mainwindow.centralwidget.toolbox if self.mainwindow.airfoil: if not hasattr(self.mainwindow.airfoil, 'spline_data'): message = 'Splining needs to be done first.' self.mainwindow.slots.messageBox(message) return contour = self.mainwindow.airfoil.spline_data[0] else: self.mainwindow.slots.messageBox('No airfoil loaded.') return # delete blocks outline if existing # because a new one will be generated if hasattr(self.mainwindow.airfoil, 'mesh_blocks'): self.mainwindow.scene.removeItem( self.mainwindow.airfoil.mesh_blocks) del self.mainwindow.airfoil.mesh_blocks progdialog = QtWidgets.QProgressDialog( "Meshing in progress", "Cancel", 0, 100, self.mainwindow) progdialog.setFixedWidth(300) progdialog.setMinimumDuration(0) progdialog.setWindowTitle('Generating the CFD mesh') progdialog.setWindowModality(QtCore.Qt.WindowModal) progdialog.setCancelButtonText('Abort meshing ...') progdialog.show() progdialog.setValue(10) # progdialog.setLabelText('making blocks') self.AirfoilMesh(name='block_airfoil', contour=contour, divisions=toolbox.points_n.value(), ratio=toolbox.ratio.value(), thickness=toolbox.normal_thickness.value()) progdialog.setValue(20) if progdialog.wasCanceled(): return self.TrailingEdgeMesh(name='block_TE', te_divisions=toolbox.te_div.value(), thickness=toolbox.length_te.value(), divisions=toolbox.points_te.value(), ratio=toolbox.ratio_te.value()) progdialog.setValue(30) if progdialog.wasCanceled(): return self.TunnelMesh(name='block_tunnel', tunnel_height=toolbox.tunnel_height.value(), divisions_height=toolbox.divisions_height.value(), ratio_height=toolbox.ratio_height.value(), dist=toolbox.dist.currentText(), smoothing_algorithm=toolbox.smoothing_algorithm, smoothing_iterations=toolbox.smoother_iterations.value(), smoothing_tolerance=float(toolbox.smoother_tolerance.text())) progdialog.setValue(50) if progdialog.wasCanceled(): return self.TunnelMeshWake(name='block_tunnel_wake', tunnel_wake=toolbox.tunnel_wake.value(), divisions=toolbox.divisions_wake.value(), ratio=toolbox.ratio_wake.value(), spread=toolbox.spread.value() / 100.0) progdialog.setValue(70) if progdialog.wasCanceled(): return # connect mesh blocks connect = Connect.Connect(progdialog) vertices, connectivity, progdialog = \ connect.connectAllBlocks(self.blocks) # add mesh to Wind-tunnel instance self.mesh = vertices, connectivity # generate cell to vertex connectivity from mesh self.makeLCV() # generate cell to edge connectivity from mesh self.makeLCE() # generate boundaries from mesh connectivity self.makeBoundaries() logger.info('Mesh around {} created'. format(self.mainwindow.airfoil.name)) logger.info('Mesh has {} vertices and {} elements'. format(len(vertices), len(connectivity))) self.drawMesh(self.mainwindow.airfoil) self.drawBlockOutline(self.mainwindow.airfoil) # mesh quality # quality = self.MeshQuality(crit='k2inf') # self.drawMeshQuality(quality) progdialog.setValue(100) # enable mesh export and set filename and boundary definitions toolbox.box_meshexport.setEnabled(True) def makeLCV(self): """Make cell to vertex connectivity for the mesh LCV is identical to connectivity """ _, connectivity = self.mesh self.LCV = connectivity def makeLVC(self): _, connectivity = self.mesh nodes = list(set([node for cell in connectivity for node in cell])) self.lvc = dict() for node in nodes: for cell in connectivity: if node in cell: self.lvc.setdefault(node, []).append(cell.tolist()) def makeLCE(self): """Make cell to edge connectivity for the mesh""" _, connectivity = self.mesh self.LCE = dict() self.edges = list() for i, cell in enumerate(connectivity): # example for quadrilateral: # cell: [0, 1, 5, 4] # edges: [(0,1), (1,5), (5,4), (4,0)] edges = [(cell[j], cell[(j + 1) % len(cell)]) for j in range(len(cell))] # all edges for cell i self.LCE[i] = edges # all edges in one list self.edges += [tuple(sorted(edge)) for edge in edges] def makeLCC(self): """Make cell to cell connectivity for the mesh""" pass def makeBoundaries(self): """A boundary edge is an edge that belongs only to one cell""" vertices, _ = self.mesh vertices = np.array(vertices) edges = self.edges seen = set() unique = list() doubles = set() for edge in edges: if edge not in seen: seen.add(edge) unique.append(edge) else: doubles.add(edge) self.boundary_edges = [edge for edge in unique if edge not in doubles] # tag edges for boundary definitions # FIXME # FIXME here it's done the dirty way # FIXME at least try to make it faster later # FIXME self.boundary_tags = {'airfoil': [], 'inlet': [], 'outlet': [], 'top': [], 'bottom': []} ### FIXME ### FIXME too dirty below (do not work with toplerances!!!) ### FIXME xmax = np.max(vertices[:,0]) ymax = np.max(vertices[:,1]) ymin = np.min(vertices[:,1]) for edge in self.boundary_edges: x1 = vertices[edge[0]][0] y1 = vertices[edge[0]][1] x2 = vertices[edge[1]][0] y2 = vertices[edge[1]][1] tol = 1e-6 # tolerance for coordinate comparison if x1 > -0.1 and x1 < 1.1 and y1 < 0.5 and y1 > -0.5: self.boundary_tags['airfoil'].append(edge) elif abs(x1 - xmax) < tol and abs(x2 - xmax) < tol: self.boundary_tags['outlet'].append(edge) elif abs(y1 - ymax) < tol and abs(y2 - ymax) < tol: self.boundary_tags['top'].append(edge) elif abs(y1 - ymin) < tol and abs(y2 - ymin) < tol: self.boundary_tags['bottom'].append(edge) else: self.boundary_tags['inlet'].append(edge) return def drawMesh(self, airfoil): """Add the mesh as ItemGroup to the scene Args: airfoil (TYPE): object containing all airfoil properties and data """ # toggle spline points self.mainwindow.centralwidget.airfoil_spline_points_checkbox.click() # delete old mesh if existing if hasattr(airfoil, 'mesh'): logger.debug('MESH item type: {}'.format(type(airfoil.mesh))) self.mainwindow.scene.removeItem(airfoil.mesh) mesh = list() for block in self.blocks: for lines in [block.getULines(), block.getVLines()]: for line in lines: # instantiate a graphics item contour = gic.GraphicsCollection() # make it polygon type and populate its points points = [QtCore.QPointF(x, y) for x, y in line] contour.Polyline(QtGui.QPolygonF(points), '') # set its properties contour.pen.setColor(QtGui.QColor(0, 0, 0, 255)) contour.pen.setWidthF(0.8) contour.pen.setCosmetic(True) contour.brush.setStyle(QtCore.Qt.NoBrush) # add contour as a GraphicsItem to the scene # these are the objects which are drawn in the GraphicsView meshline = GraphicsItem.GraphicsItem(contour) mesh.append(meshline) airfoil.mesh = self.mainwindow.scene.createItemGroup(mesh) # activate viewing options if mesh is created and displayed self.mainwindow.centralwidget.mesh_checkbox.setChecked(True) self.mainwindow.centralwidget.mesh_checkbox.setEnabled(True) def drawMeshQuality(self, quality): vertices, connectivity = self.mesh quads = list() colors = [Utils.scalar_to_rgb(q, range='256') for q in quality] for i, cell in enumerate(connectivity): quad = gic.GraphicsCollection() points = [QtCore.QPointF(*vertices[vertex]) for vertex in cell] quad.Polygon(QtGui.QPolygonF(points), '') quad.pen.setColor(QtGui.QColor(0, 0, 0, 255)) quad.brush.setColor(QtGui.QColor(*colors[i])) quad.pen.setWidthF(0.8) quad.pen.setCosmetic(True) quaditem = GraphicsItem.GraphicsItem(quad) quads.append(quaditem) self.mainwindow.scene.createItemGroup(quads) def drawBlockOutline(self, airfoil): """Add the mesh block outlines to the scene Args: airfoil (TYPE): object containing all airfoil properties and data """ # FIXME # FIXME Refactoring of code duplication here and in drawMesh # FIXME mesh_blocks = list() for block in self.blocks: for lines in [block.getULines()]: for line in [lines[0], lines[-1]]: # instantiate a graphics item contour = gic.GraphicsCollection() # make it polygon type and populate its points points = [QtCore.QPointF(x, y) for x, y in line] contour.Polyline(QtGui.QPolygonF(points), '') # set its properties contour.pen.setColor(QtGui.QColor(202, 31, 123, 255)) contour.pen.setWidthF(3.0) contour.pen.setCosmetic(True) contour.brush.setStyle(QtCore.Qt.NoBrush) # add contour as a GraphicsItem to the scene # these are the objects which are drawn in the GraphicsView meshline = GraphicsItem.GraphicsItem(contour) mesh_blocks.append(meshline) for lines in [block.getVLines()]: for line in [lines[0], lines[-1]]: # instantiate a graphics item contour = gic.GraphicsCollection() # make it polygon type and populate its points points = [QtCore.QPointF(x, y) for x, y in line] contour.Polyline(QtGui.QPolygonF(points), '') # set its properties contour.pen.setColor(QtGui.QColor(202, 31, 123, 255)) contour.pen.setWidthF(3.0) contour.pen.setCosmetic(True) contour.brush.setStyle(QtCore.Qt.NoBrush) # add contour as a GraphicsItem to the scene # these are the objects which are drawn in the GraphicsView meshline = GraphicsItem.GraphicsItem(contour) mesh_blocks.append(meshline) airfoil.mesh_blocks = self.mainwindow.scene \ .createItemGroup(mesh_blocks) # initial visibility of mesh blocks is False, but enabled airfoil.mesh_blocks.setVisible(False) self.mainwindow.centralwidget.mesh_blocks_checkbox.setEnabled(True) def MeshQuality(self, crit='k2inf'): vertices, connectivity = self.mesh if crit == 'k2inf': v12 = vertices[connectivity[:, 1]] - vertices[connectivity[:, 0]] v23 = vertices[connectivity[:, 2]] - vertices[connectivity[:, 1]] v34 = vertices[connectivity[:, 3]] - vertices[connectivity[:, 2]] v41 = vertices[connectivity[:, 0]] - vertices[connectivity[:, 3]] a = np.linalg.norm(v12) b = np.linalg.norm(v23) c = np.linalg.norm(v34) d = np.linalg.norm(v41) p = 0.5 * (a + b + c + d) q2 = np.sqrt(a**2 + b**2 + c**2 + d**2) alpha = Utils.angle_between(v12, -v41) beta = Utils.angle_between(v23, -v12) gamma = Utils.angle_between(v34, -v23) delta = Utils.angle_between(v41, -v12) theta = 0.5 * (alpha + gamma) # quad area using Bretschneider’s formula A = np.sqrt((p -a)*(p-b)*(p-c)*(p-d) - a*b*c*d*np.cos(theta)) ka = (a**2 + d**2) / (a*d*np.sin(alpha)) kb = (a**2 + b**2) / (a*b*np.sin(beta)) kc = (b**2 + c**2) / (b*c*np.sin(gamma)) kd = (c**2 + d**2) / (c*d*np.sin(delta)) k = np.stack((ka, kb, kc, kd)) quality = np.max(k, axis=0) / 2. self.mesh.quality = quality return self.mesh.quality class BlockMesh: def __init__(self, name='block'): self.name = name self.ULines = list() def addLine(self, line): # line is a list of (x, y) tuples self.ULines.append(line) def getULines(self): return self.ULines def setUlines(self, ulines): self.ULines = ulines def getVLines(self): vlines = list() U, V = self.getDivUV() # loop over all u-lines for i in range(U + 1): # prepare new v-line vline = list() # collect i-th point on each u-line for uline in self.getULines(): vline.append(uline[i]) vlines.append(vline) return vlines def getLine(self, number=0, direction='u'): if direction.lower() == 'u': lines = self.getULines() if direction.lower() == 'v': lines = self.getVLines() return lines[number] def getDivUV(self): u = len(self.getULines()[0]) - 1 v = len(self.getULines()) - 1 return u, v def getNodeCoo(self, node): I, J = node[0], node[1] uline = self.getULines()[J] point = uline[I] return np.array(point) def setNodeCoo(self, node, new_pos): I, J = node[0], node[1] uline = self.getULines()[J] uline[I] = new_pos return @staticmethod def makeLine(p1, p2, divisions=1, ratio=1.0): vec = p2 - p1 dist = np.linalg.norm(vec) spacing = BlockMesh.spacing(divisions=divisions, ratio=ratio, length=dist) line = list() line.append((p1.tolist()[0], p1.tolist()[1])) for i in range(1, len(spacing)): p = p1 + spacing[i] * Utils.unit_vector(vec) line.append((p.tolist()[0], p.tolist()[1])) del line[-1] line.append((p2.tolist()[0], p2.tolist()[1])) return line def extrudeLine_cell_thickness(self, line, cell_thickness=0.04, growth=1.05, divisions=1, direction=3): x, y = list(zip(*line)) x = np.array(x) y = np.array(y) if direction == 3: spacing, _ = self.spacing_cell_thickness( cell_thickness=cell_thickness, growth=growth, divisions=divisions) normals = self.curveNormals(x, y) for i in range(1, len(spacing)): xo = x + spacing[i] * normals[:, 0] yo = y + spacing[i] * normals[:, 1] line = list(zip(xo.tolist(), yo.tolist())) self.addLine(line) elif direction == 4: spacing, _ = self.spacing_cell_thickness( cell_thickness=cell_thickness, growth=growth, divisions=divisions) normals = self.curveNormals(x, y) normalx = normals[:, 0].mean() normaly = normals[:, 1].mean() for i in range(1, len(spacing)): xo = x + spacing[i] * normalx yo = y + spacing[i] * normaly line = list(zip(xo.tolist(), yo.tolist())) self.addLine(line) def extrudeLine(self, line, direction=0, length=0.1, divisions=1, ratio=1.00001, constant=False): x, y = list(zip(*line)) x = np.array(x) y = np.array(y) if constant and direction == 0: x.fill(length) line = list(zip(x.tolist(), y.tolist())) self.addLine(line) elif constant and direction == 1: y.fill(length) line = list(zip(x.tolist(), y.tolist())) self.addLine(line) elif direction == 3: spacing = self.spacing(divisions=divisions, ratio=ratio, length=length) normals = self.curveNormals(x, y) for i in range(1, len(spacing)): xo = x + spacing[i] * normals[:, 0] yo = y + spacing[i] * normals[:, 1] line = list(zip(xo.tolist(), yo.tolist())) self.addLine(line) elif direction == 4: spacing = self.spacing(divisions=divisions, ratio=ratio, length=length) normals = self.curveNormals(x, y) normalx = normals[:, 0].mean() normaly = normals[:, 1].mean() for i in range(1, len(spacing)): xo = x + spacing[i] * normalx yo = y + spacing[i] * normaly line = list(zip(xo.tolist(), yo.tolist())) self.addLine(line) def distribute(self, direction='u', number=0, type='constant'): if direction == 'u': line = np.array(self.getULines()[number]) elif direction == 'v': line = np.array(self.getVLines()[number]) # interpolate B-spline through data points # here, a linear interpolant is derived "k=1" # splprep returns: # tck ... tuple (t,c,k) containing the vector of knots, # the B-spline coefficients, and the degree of the spline. # u ... array of the parameters for each given point (knot) tck, u = interpolate.splprep(line.T, s=0, k=1) if type == 'constant': t = np.linspace(0.0, 1.0, num=len(line)) if type == 'transition': first = np.array(self.getULines()[0]) last = np.array(self.getULines()[-1]) tck_first, u_first = interpolate.splprep(first.T, s=0, k=1) tck_last, u_last = interpolate.splprep(last.T, s=0, k=1) if number < 0.0: number = len(self.getVLines()) v = float(number) / float(len(self.getVLines())) t = (1.0 - v) * u_first + v * u_last # evaluate function at any parameter "0<=t<=1" line = interpolate.splev(t, tck, der=0) line = list(zip(line[0].tolist(), line[1].tolist())) if direction == 'u': self.getULines()[number] = line elif direction == 'v': for i, uline in enumerate(self.getULines()): self.getULines()[i][number] = line[i] @staticmethod def spacing_cell_thickness(cell_thickness=0.04, growth=1.1, divisions=10): # add cell thickness of first layer spacing = [cell_thickness] for i in range(divisions - 1): spacing.append(spacing[0] + spacing[-1] * growth) spacing.insert(0, 0.0) length = np.sum(spacing) return spacing, length @staticmethod def spacing(divisions=10, ratio=1.0, length=1.0): """Calculate point distribution on a line Args: divisions (int, optional): Number of subdivisions ratio (float, optional): Ratio of last to first subdivision size length (float, optional): length of line Returns: array: individual line segment lengths """ if divisions == 1: sp = [0.0, 1.0] return np.array(sp) growth = ratio**(1.0 / (float(divisions) - 1.0)) if growth == 1.0: growth = 1.0 + 1.0e-10 s = [1.0] for i in range(1, divisions + 1): s.append(growth**i) spacing = np.array(s) spacing -= spacing[0] spacing /= spacing[-1] spacing *= length return spacing def mapLines(self, line_1, line_2): """Map the distribution of points from one line to another line Args: line_1 (LIST): Source line (will be mapped) line_2 (LIST): Destination line (upon this line_1 is mapped) """ pass @staticmethod def curveNormals(x, y, closed=False): istart = 0 iend = 0 n = list() for i, _ in enumerate(x): if closed: if i == len(x) - 1: iend = -i - 1 else: if i == 0: istart = 1 if i == len(x) - 1: iend = -1 a = np.array([x[i + 1 + iend] - x[i - 1 + istart], y[i + 1 + iend] - y[i - 1 + istart]]) e = Utils.unit_vector(a) n.append([e[1], -e[0]]) istart = 0 iend = 0 return np.array(n) def transfinite(self, boundary=[], ij=[]): """Make a transfinite interpolation. http://en.wikipedia.org/wiki/Transfinite_interpolation upper -------------------- | | | | left | | right | | | | -------------------- lower Example input for the lower boundary: lower = [(0.0, 0.0), (0.1, 0.3), (0.5, 0.4)] """ if boundary: lower = boundary[0] upper = boundary[1] left = boundary[2] right = boundary[3] elif ij: lower = self.getULines()[ij[2]][ij[0]:ij[1] + 1] upper = self.getULines()[ij[3]][ij[0]:ij[1] + 1] left = self.getVLines()[ij[0]][ij[2]:ij[3] + 1] right = self.getVLines()[ij[1]][ij[2]:ij[3] + 1] else: lower = self.getULines()[0] upper = self.getULines()[-1] left = self.getVLines()[0] right = self.getVLines()[-1] # FIXME # FIXME left and right need to swapped from input # FIXME # FIXME like: left, right = right, left # FIXME lower = np.array(lower) upper = np.array(upper) left = np.array(left) right = np.array(right) # convert the block boundary curves into parametric form # as curves need to be between 0 and 1 # interpolate B-spline through data points # here, a linear interpolant is derived "k=1" # splprep returns: # tck ... tuple (t,c,k) containing the vector of knots, # the B-spline coefficients, and the degree of the spline. # u ... array of the parameters for each given point (knot) tck_lower, u_lower = interpolate.splprep(lower.T, s=0, k=1) tck_upper, u_upper = interpolate.splprep(upper.T, s=0, k=1) tck_left, u_left = interpolate.splprep(left.T, s=0, k=1) tck_right, u_right = interpolate.splprep(right.T, s=0, k=1) nodes = np.zeros((len(left) * len(lower), 2)) # corner points c1 = lower[0] c2 = upper[0] c3 = lower[-1] c4 = upper[-1] for i, xi in enumerate(u_lower): for j, eta in enumerate(u_left): node = i * len(u_left) + j point = (1.0 - xi) * left[j] + xi * right[j] + \ (1.0 - eta) * lower[i] + eta * upper[i] - \ ((1.0 - xi) * (1.0 - eta) * c1 + (1.0 - xi) * eta * c2 + xi * (1.0 - eta) * c3 + xi * eta * c4) nodes[node, 0] = point[0] nodes[node, 1] = point[1] vlines = list() vline = list() i = 0 for node in nodes: i += 1 vline.append(node) if i % len(left) == 0: vlines.append(vline) vline = list() vlines.reverse() if ij: ulines = self.makeUfromV(vlines) n = -1 for k in range(ij[2], ij[3] + 1): n += 1 self.ULines[k][ij[0]:ij[1] + 1] = ulines[n] else: self.ULines = self.makeUfromV(vlines) return @staticmethod def makeUfromV(vlines): ulines = list() uline = list() for i in range(len(vlines[0])): for vline in vlines: x, y = vline[i][0], vline[i][1] uline.append((x, y)) ulines.append(uline[::-1]) uline = list() return ulines @staticmethod def writeFLMA(wind_tunnel, name='', depth=0.3): '''Write mesh to AVL-FIRE *.flma format''' basename = os.path.basename(name) nameroot, extension = os.path.splitext(basename) mesh = wind_tunnel.mesh vertices, connectivity = mesh with open(name, 'w') as f: number_of_vertices_2D = len(vertices) numvertex = '8' # write number of points to FLMA file (*2 for z-direction) f.write(str(2 * number_of_vertices_2D) + '\n') signum = -1. # write x-, y- and z-coordinates to FLMA file # loop 1D direction (symmetry) for _ in range(2): for vertex in vertices: f.write(str(vertex[0]) + ' ' + str(vertex[1]) + ' ' + str(signum * depth / 2.0) + ' ') signum = 1. # write number of cells to FLMA file cells = len(connectivity) f.write('\n' + str(cells) + '\n') # write cell connectivity to FLMA file for cell in connectivity: cell_connect = str(cell[0]) + ' ' + \ str(cell[1]) + ' ' + \ str(cell[2]) + ' ' + \ str(cell[3]) + ' ' + \ str(cell[0] + number_of_vertices_2D) + ' ' + \ str(cell[1] + number_of_vertices_2D) + ' ' + \ str(cell[2] + number_of_vertices_2D) + ' ' + \ str(cell[3] + number_of_vertices_2D) + '\n' f.write(numvertex + '\n') f.write(cell_connect) # FIRE element type (FET) for HEX element fetHEX = '5' f.write('\n' + str(cells) + '\n') for i in range(cells): f.write(fetHEX + ' ') f.write('\n\n') # FIRE element type (FET) for Quad element fetQuad = '3\n' # write FIRE selections to FLMA file # number of selections f.write('6\n') # selection name f.write('symmetry\n') # FIRE element type f.write(fetQuad) # 2x number of faces in the selection # her we take 4x because we put both symmetry selections together f.write(str(4 * len(connectivity)) + '\n') # cells of the face-selection and face direction (0-5) for i in range(len(connectivity)): f.write(f' {i} 0') for i in range(len(connectivity)): f.write(f' {i} 1') f.write('\n') f.write('\n') # # FIXME # FIXME find all cell around the airfoil, at the outlet and at the inlet # FIXME # # selection name f.write('bottom\n') f.write(fetQuad) f.write('2\n') f.write('0 2\n') f.write('\n') f.write('top\n') f.write(fetQuad) f.write('2\n') f.write('0 3\n') f.write('\n') f.write('back\n') f.write(fetQuad) f.write('2\n') f.write('0 4\n') f.write('\n') f.write('front\n') f.write(fetQuad) f.write('2\n') f.write('0 5\n') logger.info('FIRE type mesh saved as {}'. format(os.path.join(OUTPUTDATA, basename))) @staticmethod def writeSU2_nolib(wind_tunnel, name=''): '''Write mesh to SU2 format without using meshio''' mesh = wind_tunnel.mesh vertices, connectivity = mesh tags = wind_tunnel.boundary_tags num_airfoil_edges = len(tags['airfoil']) num_inlet_edges = len(tags['inlet']) num_outlet_edges = len(tags['outlet']) num_top_edges = len(tags['top']) num_bottom_edges = len(tags['bottom']) with open(name, 'w') as f: # write header f.write('%\n') f.write('% Problem dimension\n') f.write('%\n') f.write('NDIME= 2\n') f.write('%\n') f.write('% Node coordinates\n') f.write('%\n') f.write('NPOIN= ' + str(len(vertices)) + '\n') # write vertices for i, vertex in enumerate(vertices): f.write(f'{vertex[0]: .8e} {vertex[1]: .8e} {i:<}\n') f.write('%\n') f.write('% Element connectivity\n') f.write('%\n') f.write('NELEM= ' + str(len(connectivity)) + '\n') # write elements for i, cell in enumerate(connectivity): f.write(f'9 {cell[0]:10d} {cell[1]:10d} {cell[2]:10d} {cell[3]:10d} {i:>10d}\n') f.write('%\n') f.write('% Boundary tags\n') f.write('%\n') # write boundary tags f.write('NMARK= 5\n') f.write('MARKER_TAG= airfoil\n') f.write('MARKER_ELEMS= ' + str(num_airfoil_edges) + '\n') for edge in tags['airfoil']: f.write(f'3 {edge[0]} {edge[1]}\n') f.write('MARKER_TAG= inlet\n') f.write('MARKER_ELEMS= ' + str(num_inlet_edges) + '\n') for edge in tags['inlet']: f.write(f'3 {edge[0]} {edge[1]}\n') f.write('MARKER_TAG= outlet\n') f.write('MARKER_ELEMS= ' + str(num_outlet_edges) + '\n') for edge in tags['outlet']: f.write(f'3 {edge[0]} {edge[1]}\n') f.write('MARKER_TAG= top\n') f.write('MARKER_ELEMS= ' + str(num_top_edges) + '\n') for edge in tags['top']: f.write(f'3 {edge[0]} {edge[1]}\n') f.write('MARKER_TAG= bottom\n') f.write('MARKER_ELEMS= ' + str(num_bottom_edges) + '\n') for edge in tags['bottom']: f.write(f'3 {edge[0]} {edge[1]}\n') basename = os.path.basename(name) logger.info('SU2 type mesh saved as {}'. format(os.path.join(OUTPUTDATA, basename))) @staticmethod def writeVTK_nolib(wind_tunnel, name=''): """ Write a VTU file (UnstructuredGrid).""" mesh = wind_tunnel.mesh vertices, connectivity = mesh tags = wind_tunnel.boundary_tags vertices = [v + (0.0,) for v in vertices] # Determine number of points num_vertices = len(vertices) # Convert connectivity (list of lists) to a consistent format internally # without changing the external data model. polygon_cells = [np.array(cell, dtype=int) for cell in connectivity] # Function to determine VTK cell type based on number of vertices in a cell # Add more mappings if you have other cell types. def cell_type_from_length(n): if n == 2: return 3 # VTK_LINE elif n == 3: return 5 # VTK_TRIANGLE elif n == 4: return 9 # VTK_QUAD else: raise ValueError(f"No VTK cell type defined for {n}-node cells.") # Process main polygonal cells # For these cells, we assign boundary_id=0 as a default. # Flatten their connectivity # Process main polygonal cells polygon_cell_lengths = [len(cell) for cell in polygon_cells] polygon_connectivity_flat = np.concatenate([cell for cell in polygon_cells]) if polygon_cells else np.array([], dtype=int) polygon_cell_types = np.array([cell_type_from_length(l) for l in polygon_cell_lengths], dtype=np.uint8) polygon_boundary_ids = np.zeros(len(polygon_cells), dtype=np.int32) # default boundary_id=0 # Process boundary edges (line cells) # Assign each boundary name a unique ID starting from 1 boundary_names = list(tags.keys()) boundary_id_map = {name: i+1 for i, name in enumerate(boundary_names)} # Flatten boundary edges into a single connectivity array # Each edge is a 2-vertex line cell boundary_edges = [] boundary_edge_lengths = [] boundary_edge_types = [] boundary_edge_ids = [] for bname, edges in tags.items(): for edge in edges: edge = np.array(edge, dtype=int) # ensure numpy array if len(edge) != 2: raise ValueError("Boundary edges must have exactly 2 vertices.") boundary_edges.append(edge) boundary_edge_lengths.append(2) boundary_edge_types.append(cell_type_from_length(2)) boundary_edge_ids.append(boundary_id_map[bname]) if len(boundary_edges) > 0: boundary_connectivity_flat = np.concatenate(boundary_edges) boundary_cell_types = np.array(boundary_edge_types, dtype=np.uint8) boundary_ids_array = np.array(boundary_edge_ids, dtype=np.int32) else: boundary_connectivity_flat = np.array([], dtype=int) boundary_cell_types = np.array([], dtype=np.uint8) boundary_ids_array = np.array([], dtype=np.int32) # Combine polygonal cells and boundary line cells all_connectivity_flat = np.concatenate([polygon_connectivity_flat, boundary_connectivity_flat]) all_cell_types = np.concatenate([polygon_cell_types, boundary_cell_types]) all_boundary_ids = np.concatenate([polygon_boundary_ids, boundary_ids_array]) all_cell_lengths = polygon_cell_lengths + boundary_edge_lengths num_cells = len(all_cell_lengths) offsets = np.cumsum(all_cell_lengths) # Write VTU file in ASCII format with open(name, "w") as f: f.write('\n') f.write('\n') f.write(' \n') f.write(f' \n') # Cell Data: boundary_ids f.write(' \n') f.write(' \n') f.write(' ' + ' '.join(map(str, all_boundary_ids)) + '\n') f.write(' \n') f.write(' \n') # vertices f.write(' \n') f.write(' \n') for p in vertices: f.write(f' {p[0]} {p[1]} {p[2]}\n') f.write(' \n') f.write(' \n') # Cells f.write(' \n') # connectivity f.write(' \n') f.write(' ' + ' '.join(map(str, all_connectivity_flat)) + '\n') f.write(' \n') # offsets f.write(' \n') f.write(' ' + ' '.join(map(str, offsets)) + '\n') f.write(' \n') # types f.write(' \n') f.write(' ' + ' '.join(map(str, all_cell_types)) + '\n') f.write(' \n') f.write(' \n') f.write(' \n') f.write(' \n') f.write('\n') basename = os.path.basename(name) logger.info('VTK type mesh saved as {}'. format(os.path.join(OUTPUTDATA, basename))) @staticmethod def writeGMSH_nolib(wind_tunnel, name=''): """Writes a GMSH 2.2 format mesh file.""" mesh = wind_tunnel.mesh vertices, connectivity = mesh boundaries = wind_tunnel.boundary_tags # Assign unique physical tags to boundaries boundary_tags = {name: idx + 1 for idx, name in enumerate(boundaries.keys())} num_physical_names = len(boundaries) + 1 # +1 for the domain (elements) # Assign a physical tag for the domain elements domain_physical_tag = num_physical_names # Write the mesh file with open(name, 'w') as f: # Write MeshFormat section f.write('$MeshFormat\n') f.write('2.2 0 8\n') # Version 2.2, ASCII mode, size of double precision f.write('$EndMeshFormat\n') # Write PhysicalNames section f.write('$PhysicalNames\n') f.write(f'{num_physical_names}\n') # Write boundary physical names for name1, tag in boundary_tags.items(): f.write(f'1 {tag} "{name1}"\n') # Dimension 1 for lines # Write domain physical name f.write(f'2 {domain_physical_tag} "Domain"\n') # Dimension 2 for surface elements f.write('$EndPhysicalNames\n') # Write Nodes section f.write('$Nodes\n') f.write(f'{len(vertices)}\n') z = 0.0 # 2D mesh for idx, (x, y) in enumerate(vertices, start=1): f.write(f'{idx} {x: .8e} {y: .8e} {z: .8e}\n') f.write('$EndNodes\n') # Prepare elements elements_data = [] elem_id = 1 # Write boundary edge elements for name1, edges in boundaries.items(): physical_tag = boundary_tags[name1] geometrical_tag = physical_tag # For simplicity, set geometrical tag equal to physical tag element_type = 1 # Line elements num_tags = 2 for edge in edges: node1, node2 = edge elements_data.append((elem_id, element_type, num_tags, physical_tag, geometrical_tag, [node1+1, node2+1])) # +1 to match GMSH 1-based indexing elem_id += 1 # Write domain elements for elem_nodes in connectivity: num_nodes = len(elem_nodes) if num_nodes == 3: element_type = 2 # Triangle elif num_nodes == 4: element_type = 3 # Quadrangle elif num_nodes == 6: element_type = 9 # 6-node second order triangle elif num_nodes == 8: element_type = 16 # 8-node second order quadrangle else: raise ValueError(f"Unsupported element with {num_nodes} nodes.") num_tags = 2 physical_tag = domain_physical_tag geometrical_tag = physical_tag elements_data.append((elem_id, element_type, num_tags, physical_tag, geometrical_tag, [node+1 for node in elem_nodes])) # +1 to match GMSH 1-based indexing elem_id += 1 # Write Elements section f.write('$Elements\n') f.write(f'{len(elements_data)}\n') for elem in elements_data: elem_id, elem_type, num_tags, physical_tag, geometrical_tag, node_ids = elem node_ids_str = ' '.join(map(str, node_ids)) f.write(f'{elem_id} {elem_type} {num_tags} {physical_tag} {geometrical_tag} {node_ids_str}\n') f.write('$EndElements\n') logger.info(f'GMSH type mesh saved as {name}') class Smooth: def __init__(self, block): self.block = block def getNeighbours(self, node): """Get a list of neighbours around a node """ i, j = node[0], node[1] neighbours = {1: (i - 1, j - 1), 2: (i, j - 1), 3: (i + 1, j - 1), 4: (i + 1, j), 5: (i + 1, j + 1), 6: (i, j + 1), 7: (i - 1, j + 1), 8: (i - 1, j)} return neighbours def smooth(self, nodes, iterations=1, algorithm='laplace'): """Smoothing of a square lattice mesh Algorithms: - Angle based Tian Zhou: AN ANGLE-BASED APPROACH TO TWO-DIMENSIONAL MESH SMOOTHING - Laplace Mean of surrounding node coordinates - Parallelogram smoothing Sanjay Kumar Khattri: A NEW SMOOTHING ALGORITHM FOR QUADRILATERAL AND HEXAHEDRAL MESHES Args: nodes (TYPE): List of (i, j) tuples for the nodes to be smoothed iterations (int, optional): Number of smoothing iterations algorithm (str, optional): Smoothing algorithm """ # loop number of smoothing iterations for i in range(iterations): new_pos = list() # smooth a node (i, j) for node in nodes: nb = self.getNeighbours(node) if algorithm == 'laplace': new_pos = (self.block.getNodeCoo(nb[2]) + self.block.getNodeCoo(nb[4]) + self.block.getNodeCoo(nb[6]) + self.block.getNodeCoo(nb[8])) / 4.0 if algorithm == 'parallelogram': new_pos = (self.block.getNodeCoo(nb[1]) + self.block.getNodeCoo(nb[3]) + self.block.getNodeCoo(nb[5]) + self.block.getNodeCoo(nb[7])) / 4.0 - \ (self.block.getNodeCoo(nb[2]) + self.block.getNodeCoo(nb[4]) + self.block.getNodeCoo(nb[6]) + self.block.getNodeCoo(nb[8])) / 2.0 if algorithm == 'angle_based': pass self.block.setNodeCoo(node, new_pos.tolist()) return self.block def selectNodes(self, domain='interior', ij=[]): """Generate a node index list Args: domain (str, optional): Defines the part of the domain where nodes shall be selected Returns: List: Indices as (i, j) tuples """ U, V = self.block.getDivUV() nodes = list() # select all nodes except boundary nodes if domain == 'interior': istart = 1 iend = U jstart = 1 jend = V if domain == 'ij': istart = ij[0] iend = ij[1] jstart = ij[2] jend = ij[3] for i in range(istart, iend): for j in range(jstart, jend): nodes.append((i, j)) return nodes ================================================ FILE: src/PyAero.py ================================================ #! /usr/bin/env python """ PyAero is an airfoil CFD meshing (2D) and contour analysis tool. The meshing tool provides features to be able to create 2D CFD meshes for numerical airfoil analysis (virtual wind tunnel). The purpose of the contour analysis tool is to be able to read airfoil contour data and analyze them with respect to smoothness and similar properties. Functions allow splining, refinement, smoothing, etc. in order to provide accurate input to the subsequent meshing process. """ import os import sys import platform path_of_this_file = os.path.dirname(__file__) sys.path.append(path_of_this_file) import datetime from PySide6 import QtGui, QtCore, QtWidgets import MenusTools import GraphicsView import GraphicsScene import GuiSlots import ContourAnalysis import ToolBox from Settings import ICONS, LOCALE, EXITONESCAPE, \ OUTPUTDATA, MENUDATA, VIEWSTYLE, LOGDATA import Logger import ShortCuts import BatchMode __appname__ = 'PyAero' __author__ = 'Andreas Ennemoser' __credits__ = 'Internet and open source' year = str(datetime.date.today().strftime("%Y")) __copyright__ = '2014-' + year + ' ' + __author__ __license__ = 'MIT' __version__ = '2.1.9' __email__ = 'andreas.ennemoser@aon.at' __status__ = 'Release' class MainWindow(QtWidgets.QMainWindow): """PyAero's main QT window""" # constructor of MainWindow def __init__(self, app): super().__init__() self.app = app self.app.mainwindow = self self.platform = platform.system() self.airfoil = None self.airfoils = [] self.scene = GraphicsScene.GraphicsScene(self) self.view = GraphicsView.GraphicsView(self, self.scene) self.view.viewstyle = VIEWSTYLE self.contourview = ContourAnalysis.ContourAnalysis(canvas=True) self.slots = GuiSlots.Slots(self) self.centralwidget = CentralWidget(self) self.setCentralWidget(self.centralwidget) self._setupShortcuts() self.testitems = False self.checkEnvironment() self.init_GUI() Logger.log(self) def _setupShortcuts(self): sc = ShortCuts.ShortCuts(self) sc.addShortcut('ALT+m', 'toggleLogDock', 'shortcut') sc.addShortcut('ALT+t', 'toggleTestObjects') def init_GUI(self): # window size, position and title # self.setGeometry(700, 100, 1200, 900) self.showMaximized() title = __appname__ + ' - Airfoil Contour Analysis and CFD Meshing' self.setWindowTitle = title # create menus and tools of main window menusTools = MenusTools.MenusTools(self) menusTools.createMenus() menusTools.createTools() menusTools.createDocks() # create statusbar in main window self.statusbar = self.statusBar() self.statusbar.setFixedHeight(22) style = """ QStatusBar { background-color: rgb(232, 232, 232); border: 1px solid grey; } """ self.statusbar.setStyleSheet(style) self.statusbar.setSizeGripEnabled(False) self.statusbar.showMessage('Ready', 3000) # show the GUI self.show() def checkEnvironment(self): # check if path is correct if not os.path.exists(MENUDATA): error_message = ( f'\n PyAero ERROR: Folder {MENUDATA} does not exist.\n' ' PyAero ERROR: Maybe you are starting PyAero from the wrong location.\n' ) print(error_message) sys.exit() # check if output folder does exist if not os.path.exists(OUTPUTDATA): os.mkdir(OUTPUTDATA, mode=0o777) print('Folder %s created.' % (OUTPUTDATA)) # check if logs folder does exist if not os.path.exists(LOGDATA): os.mkdir(LOGDATA, mode=0o777) print('Folder %s created.' % (LOGDATA)) def keyPressEvent(self, event): """Catch keypress events in main window Args: event (QKeyEvent): key event sent to the widget with keyboard input focus """ key = event.key() if key == QtCore.Qt.Key_Escape and EXITONESCAPE: sys.exit(self.app.exit(retcode=0)) elif key == QtCore.Qt.Key_Home: self.slots.onViewAll() else: # progress event super().keyPressEvent(event) class CentralWidget(QtWidgets.QWidget): """ CentralWidget is a custom QWidget that serves as the central widget for the main window. It contains a splitter that divides the window into two panes: a toolbox and viewing options pane on the left, and a tabbed widget for different views on the right. Attributes: parent (QWidget): The parent widget. splitter (QSplitter): The main splitter dividing the window horizontally. toolbox (ToolBox.Toolbox): A toolbox widget for various tools. viewing_options (QGroupBox): A group box containing viewing options checkboxes. left_pane (QWidget): The left pane containing the toolbox and viewing options. tabs (QTabWidget): The tabbed widget containing different views. Methods: __init__(self, parent=None): Initializes the CentralWidget, sets up the layout, and connects signals. viewingOptions(self): Creates and configures the viewing options group box with checkboxes. """ # call constructor of CentralWidget def __init__(self, parent=None): # call constructor of QWidget super().__init__(parent) self.parent = parent # split main window horizontally into two panes self.splitter = QtWidgets.QSplitter(QtCore.Qt.Horizontal) # create QToolBox widget self.toolbox = ToolBox.Toolbox(self.parent) # create box where viewing options are placed self.viewingOptions() horizontal_line = QtWidgets.QFrame() horizontal_line.setFrameShape(QtWidgets.QFrame.HLine) horizontal_line.setFrameShadow(QtWidgets.QFrame.Sunken) self.left_pane = QtWidgets.QWidget() vbox = QtWidgets.QVBoxLayout() vbox.addWidget(self.toolbox) vbox.addStretch(5) vbox.addWidget(horizontal_line) vbox.addSpacing(15) vbox.addWidget(self.viewing_options) self.left_pane.setLayout(vbox) # create tabbed windows for viewing self.tabs = QtWidgets.QTabWidget() self.tabs.addTab(self.parent.view, 'Airfoil Viewer') self.tabs.addTab(self.parent.contourview, 'Contour Analysis') # connect tab changed signal to slot self.tabs.currentChanged.connect(self.parent.slots.onTabChanged) # add splitter panes self.splitter.addWidget(self.left_pane) self.splitter.addWidget(self.tabs) self.splitter.setSizes([100, 1300]) # initial hint for splitter spacing # put splitter in a layout box hbox = QtWidgets.QHBoxLayout() hbox.addWidget(self.splitter) self.setLayout(hbox) def viewingOptions(self): self.viewing_options = QtWidgets.QGroupBox('Viewing Options') # Set font size via CSS workaround font = self.viewing_options.font() font.setPointSize(13) self.viewing_options.setFont(font) # Layouts for organizing checkboxes hbox = QtWidgets.QHBoxLayout() vbox1 = QtWidgets.QVBoxLayout() vbox2 = QtWidgets.QVBoxLayout() self.viewing_options.setLayout(hbox) # Checkboxes for viewing options checkboxes = [ ('Message Window', True, True, self.parent.slots.toggleLogDock, 'tick'), ('Airfoil Points', False, False, self.toolbox.toggleRawPoints), ('Airfoil Raw Contour', False, False, self.toolbox.toggleRawContour), ('Airfoil Spline Points', False, False, self.toolbox.toggleSplinePoints), ('Airfoil Spline Contour', False, False, self.toolbox.toggleSpline), ('Airfoil Chord', False, False, self.toolbox.toggleChord), ('Mesh', False, False, self.toolbox.toggleMesh), ('Leading Edge Circle', False, False, self.toolbox.toggleLeCircle), ('Mesh Blocks', False, False, self.toolbox.toggleMeshBlocks), ('Airfoil Camber Line', False, False, self.toolbox.toggleCamberLine) ] # Create and add checkboxes to layouts for i, (label, checked, enabled, slot, *args) in enumerate(checkboxes): checkbox = QtWidgets.QCheckBox(label) checkbox.setChecked(checked) checkbox.setEnabled(enabled) if args: checkbox.clicked.connect(lambda _, s=slot, a=args[0]: s(a)) else: checkbox.clicked.connect(slot) if i == 0: vbox2.addWidget(checkbox) else: vbox1.addWidget(checkbox) # Set attribute for each checkbox with a meaningful name attribute_name = label.lower().replace(' ', '_') + '_checkbox' setattr(self, attribute_name, checkbox) hbox.addLayout(vbox1) hbox.addLayout(vbox2) hbox.setAlignment(QtCore.Qt.AlignTop) def main(): # check if the user is running the program in batch mode batchmode = '-no-gui' in sys.argv # run PyAero in batch mode if batchmode: app = QtCore.QCoreApplication(sys.argv) # FIXME # FIXME check for proper batch control file # FIXME if sys.argv[-1] == '-no-gui': print('No batch control file specified.') sys.exit() # prepare logger Logger.log('file_only') batch_controlfile = sys.argv[-1] batchmode = BatchMode.Batch(app, batch_controlfile, __version__) batchmode.run_batch() return # main application (contains the main event loop) # run PyAero in GUI mode app = QtWidgets.QApplication(sys.argv) # set icon for the application ( upper left window icon and taskbar icon) # and add specialization icons per size # (needed depending on the operating system) app_icon = QtGui.QIcon(os.path.join(ICONS, 'app_image.png')) icon_sizes = [16, 24, 32, 48, 256] for size in icon_sizes: app_icon.addFile(os.path.join(ICONS, f'app_image_{size}x{size}.png'), QtCore.QSize(size, size)) app.setWindowIcon(app_icon) if LOCALE == 'C': # set default locale to C, so that decimal separator is a # dot in spin boxes, etc. QtCore.QLocale.setDefault(QtCore.QLocale.c()) # window style set in Settings.py window = MainWindow(app) window.show() sys.exit(app.exec()) if __name__ == '__main__': main() ================================================ FILE: src/Settings.py ================================================ # **************** # PyAero settings # **************** import os PYAEROPATH = os.getcwd() # check if user has set the path via environment variable if os.getenv('PYAEROPATH'): PYAEROPATH = os.getenv('PYAEROPATH') # path to data DATAPATH = os.path.join(PYAEROPATH, 'data') # path to data (e.g. airfoil coordinate files) # path can be absolute or relative (to position where starting PyAero) AIRFOILDATA = os.path.join(PYAEROPATH, 'data/Airfoils') # modified contours and mesh folder OUTPUTDATA = os.path.join(DATAPATH, 'OUTPUT') # path to menu data MENUDATA = os.path.join(DATAPATH, 'Menus') # path to log files LOGDATA = os.path.join(DATAPATH, 'LOGS') # set locale # can be either 'C' or '' # if string is empty then system default locale is used # in case of 'C' decimal separator is a dot in spin boxes, etc. LOCALE = 'C' # application can be exited by pressing the escape key EXITONESCAPE = True # airfoil chord length CHORDLENGTH = 1. # path to icons ICONS = os.path.join(PYAEROPATH, 'data/Icons') ICONS_S = os.path.join(ICONS, '16x16') ICONS_L = os.path.join(ICONS, '24x24') # size of airfoil coordinate markers in pixels MARKERSIZE = 3 # default airfoil for fast loading DEFAULT_CONTOUR = os.path.join(AIRFOILDATA, 'F1K/hn1033a.dat') # set the filter for files to be shown in dialogs DIALOGFILTER = 'Airfoil contour files (*.dat *.txt)' DIALOGFILTER_MESH = 'Mesh files FIRE(*.flma);;Mesh files SU2 (*.su2);;Mesh files GMSH (*.msh)' # set the filter for files to be shown in the airfoil browser FILEFILTER = ['*.dat', '*.txt', '*.su2'] # set anchor for zooming # 'mouse' means zooming wrt to mouse pointer location # 'center' means zooming wrt to the view center ZOOMANCHOR = 'mouse' # background of graphicsview ('solid', 'gradient') VIEWSTYLE = 'solid' # set zoom limits so that scene is always in meaningful size MINZOOM = 10.0 MAXZOOM = 120000. # set minimum relative rubberband size # i.e. width of zoom rectangle wrt to viewer window width # for smaller rectangles zoom is deactivated to avoid accidential zooms # valid values between 0.05 and 1.0 RUBBERBANDSIZE = 0.08 # scale increment (must be >= 1.1) SCALEINC = 1.1 # zoom direction (can be inverted by changing the sign) ZOOMDIRECTION = -1 # Color for emphasized log messages LOGCOLOR = '#1763E7' ================================================ FILE: src/ShortCuts.py ================================================ from PySide6 import QtGui, QtWidgets class ShortCuts: """docstring for ClassName """ def __init__(self, parent): if not isinstance(parent, QtWidgets.QMainWindow): raise TypeError('parent must be a MainWindow instance') self.parent = parent def addShortcut(self, shortcut, slotMethod, *args): """Add a shortcut to a slot (event handler) Args: shortcut (STRING): Something like 'ALT+m' slotMethod (STRING): Method of GuiSlots 'Slot' class Returns: object: QShortcut object """ # gui_slot converts to: # self.parent.slots.slotMethod(*args) gui_slot = getattr(self.parent.slots, slotMethod) sc = QtGui.QShortcut(QtGui.QKeySequence(shortcut), self.parent) # connect shortcut to slot # e.g. self.parent.slots.toggleLogDock(*args) sc.activated.connect(lambda: gui_slot(*args)) return def enableShortcut(self, enable=True): self.setEnabled(self, enable) def changeKey(self, key): self.setKey(key) ================================================ FILE: src/Smooth_angle_based.py ================================================ import copy import numpy as np from PySide6 import QtGui, QtCore import GraphicsItemsCollection as gic import GraphicsItem import Connect import logging logger = logging.getLogger(__name__) class SmoothAngleBased: """Mesh smoothing based on the paper: An Angular Method with Position Control for Block Mesh Squareness Improvement by Jin Yao, Douglas Stillman There are several errors in the paper. Nevertheless, the idea and algorithm description are formulated very clear. The errors are in the summation over all 12 angles, which in fact needs to be split into four for the alphas and eight for the betas. Therefore also the depicted derivatives are wrong as well as the inverse Hessian for the Newton optimization iterations. This class contains the corrected equations. """ def __init__(self, data, data_source='block'): # get MainWindow instance (overcomes handling parents) self.mainwindow = QtCore.QCoreApplication.instance().mainwindow # data_source is one of 'block' or 'mesh' if data_source == 'block': self.block = data connect = Connect.Connect(None) vertices = connect.getVertices(self.block) connectivity = connect.getConnectivity(self.block) self.mesh = vertices, connectivity if data_source == 'mesh': self.mesh = data lvc = self.makeLVC() self.stencils = self.make_stencil(lvc) self.drawlines = None def makeLVC(self): _, connectivity = self.mesh nodes = set([node for cell in connectivity for node in cell]) self.lvc = dict() conn = np.array(connectivity) for node in nodes: cells, _ = np.where(conn == node) self.lvc.setdefault(node, []).append([conn[cell] for cell in cells]) return self.lvc def make_stencil(self, lvc, verbose=False): # lvc is a dictionary self.stencils = dict() for idx in range(len(lvc)): v, c = np.unique(lvc[idx], return_counts=True) vertices_quad = v[np.argwhere(c==1)] vertices_star = v[np.argwhere(c==2)] cells_with_common_edges = list() if len(vertices_star) != 4: continue for vertex in vertices_star: mask = np.isin(lvc[idx], [vertex[0], idx]) mask1 = np.count_nonzero(mask, axis=1) == 2 cells_with_common_edges.append(np.array(lvc[idx])[mask1]) if idx == 6 and verbose: for cells in cells_with_common_edges: mask2 = np.isin(cells, np.append(vertices_star.flatten(), idx)) corresponding_corners = list() for cells in cells_with_common_edges: mask2 = np.isin(cells, np.append(vertices_star.flatten(), idx)) corresponding_corners.append(cells[~mask2]) self.stencils[idx] = corresponding_corners return self.stencils def make_cardinals(self, vertices): cardinals = dict() for stencil in self.stencils: s = self.stencils[stencil] D = [vertices[s[2][0]][0], vertices[s[2][0]][1]] EE = [vertices[s[0][0]][0], vertices[s[0][0]][1]] F = [vertices[s[1][1]][0], vertices[s[1][1]][1]] G = [vertices[s[0][1]][0], vertices[s[0][1]][1]] S = (0.5 * (D[0] + EE[0]), 0.5 * (D[1] + EE[1])) W = (0.5 * (D[0] + G[0]), 0.5 * (D[1] + G[1])) E = (0.5 * (EE[0] + F[0]), 0.5 * (EE[1] + F[1])) N = (0.5 * (G[0] + F[0]), 0.5 * (G[1] + F[1])) cardinals[stencil] = (S, W, E, N, D, EE, F, G) return cardinals def draw_cardinal(self, S, W, E, N, D, EE, F, G): self.drawlines = list() gc = gic.GraphicsCollection() points = [QtCore.QPointF(x, y) for x, y in [S, N]] gc.Polyline(QtGui.QPolygonF(points), '') gc.pen.setColor(QtGui.QColor(255, 0, 0, 255)) gc.pen.setWidthF(3.0) gc.pen.setCosmetic(True) gc.brush.setStyle(QtCore.Qt.NoBrush) meshline = GraphicsItem.GraphicsItem(gc) self.drawlines.append(meshline) gc = gic.GraphicsCollection() points = [QtCore.QPointF(x, y) for x, y in [E, W]] gc.Polyline(QtGui.QPolygonF(points), '') gc.pen.setColor(QtGui.QColor(0, 255, 0, 255)) gc.pen.setWidthF(3.0) gc.pen.setCosmetic(True) gc.brush.setStyle(QtCore.Qt.NoBrush) meshline = GraphicsItem.GraphicsItem(gc) self.drawlines.append(meshline) gc = gic.GraphicsCollection() points = [QtCore.QPointF(x, y) for x, y in [D, EE, F, G, D]] gc.Polyline(QtGui.QPolygonF(points), '') gc.pen.setColor(QtGui.QColor(0, 0, 255, 255)) gc.pen.setWidthF(5.0) gc.pen.setCosmetic(True) gc.brush.setStyle(QtCore.Qt.NoBrush) meshline = GraphicsItem.GraphicsItem(gc) self.drawlines.append(meshline) ''' gc = gic.GraphicsCollection() points = [QtCore.QPointF(x, y) for x, y in [EE, G]] gc.Polyline(QtGui.QPolygonF(points), '') gc.pen.setColor(QtGui.QColor(0, 255, 255, 255)) gc.pen.setWidthF(9.0) gc.pen.setCosmetic(True) gc.brush.setStyle(QtCore.Qt.NoBrush) meshline = GraphicsItem.GraphicsItem(gc) self.drawlines.append(meshline) gc = gic.GraphicsCollection() points = [QtCore.QPointF(x, y) for x, y in [D, G]] gc.Polyline(QtGui.QPolygonF(points), '') gc.pen.setColor(QtGui.QColor(255, 0, 255, 255)) gc.pen.setWidthF(9.0) gc.pen.setCosmetic(True) gc.brush.setStyle(QtCore.Qt.NoBrush) meshline = GraphicsItem.GraphicsItem(gc) self.drawlines.append(meshline) gc = gic.GraphicsCollection() points = [QtCore.QPointF(x, y) for x, y in [D, F]] gc.Polyline(QtGui.QPolygonF(points), '') gc.pen.setColor(QtGui.QColor(0, 0, 0, 255)) gc.pen.setWidthF(9.0) gc.pen.setCosmetic(True) gc.brush.setStyle(QtCore.Qt.NoBrush) meshline = GraphicsItem.GraphicsItem(gc) self.drawlines.append(meshline) ''' # self.mainwindow.scene.createItemGroup(self.drawlines) def smooth(self, iterations=20, tolerance=1.e-4, verbose=False): # iterations=1 vertices, _ = self.mesh cardinals = self.make_cardinals(vertices) smoothed_vertices = copy.deepcopy(vertices) smoothed_vertices_old = copy.deepcopy(vertices) corner = False omega = 1 if corner: omega = 0 # loop until convergence iteration = 0 while iteration < iterations: iteration += 1 # loop over all stencils (for vertices to be smoothed) for ic, cardinal in enumerate(cardinals): (x, y) = smoothed_vertices[cardinal] (xold, yold) = smoothed_vertices_old[cardinal] S, W, E, N, D, EE, F, G = cardinals[cardinal] DEBUG = False if DEBUG and ic == 143: self.draw_cardinal(S, W, E, N, D, EE, F, G) # print('ic, cardinal', ic, cardinal) # print('Stencil', self.stencils[cardinal]) # calculate position control NS = np.linalg.norm( (S[0] - N[0], S[1] - N[1]) ) WE = np.linalg.norm( (E[0] - W[0], E[1] - W[1]) ) sigma = np.max((NS/WE, WE/NS)) # angles alpha a1 = np.array([S[0], E[0], N[0], W[0]]) a2 = np.array([E[0], N[0], W[0], S[0]]) b1 = np.array([S[1], E[1], N[1], W[1]]) b2 = np.array([E[1], N[1], W[1], S[1]]) # angles beta c1 = np.array([S[0], S[0], E[0], E[0], N[0], N[0], W[0], W[0]]) c2 = np.array([D[0], EE[0], EE[0], F[0], F[0], G[0], G[0], D[0]]) d1 = np.array([S[1], S[1], E[1], E[1], N[1], N[1], W[1], W[1]]) d2 = np.array([D[1], EE[1], EE[1], F[1], F[1], G[1], G[1], D[1]]) # derivatives of alpha contributions (including position control) ca = np.sum(omega / ( (a1**2 + b1**2 - 2*a1*xold + xold**2 - 2*b1*yold + yold**2) * \ (a2**2 + b2**2 - 2*a2*xold + xold**2 - 2*b2*yold + yold**2) + 1.e-9)) dTdx_alpha = np.sum(-(a1*a2 + b1*b2 - a1*x - a2*x + x**2 - b1*y - b2*y + y**2) * \ (a1 + a2 - 2.*x) - (a1 + a1 + a1 + a1 - 4.*x) * sigma) dTdy_alpha = np.sum(-(a1*a2 + b1*b2 - a1*x - a2*x + x**2 - b1*y - b2*y + y**2) * \ (b1 + b2 - 2*y) - (b1 + b1 + b1 + b1 - 4*y)*sigma) d2Tdx2_alpha = np.sum((a1 + a2 - 2*x)**2 + 2*a1*a2 + 2*b1*b2 - 2*a1*x - 2*a2*x + 2*x**2 - \ 2*b1*y - 2*b2*y + 2*y**2 + 4*sigma) d2Tdy2_alpha = np.sum(2*a1*a2 + (b1 + b2 - 2*y)**2 + 2*b1*b2 - 2*a1*x - 2*a2*x + 2*x**2 - \ 2*b1*y - 2*b2*y + 2*y**2 + 4*sigma) d2Tdxdy_alpha = np.sum((a1 + a2 - 2*x)*(b1 + b2 - 2*y)) # derivatives of beta contributions (including position control) cb = np.sum(omega / ((c1**2 - 2*c1*c2 + c2**2 + d1**2 - 2*d1*d2 + d2**2) * \ (c1**2 + d1**2 - 2*c1*xold + xold**2 - 2*d1*yold + yold**2) + 1.e-9)) dTdx_beta = np.sum(-(c1**2 - c1*c2 + d1**2 - d1*d2 - c1*x + c2*x - d1*y + d2*y) * (c1 - c2) -\ (a1[0] + a1[1] + a1[2] + a1[3] - 4.*x)*sigma) dTdy_beta = np.sum(-(c1**2 - c1*c2 + d1**2 - d1*d2 - c1*x + c2*x - d1*y + d2*y) * (d1 - d2) -\ (b1[0] + b1[1] + b1[2] + b1[3] - 4*y)*sigma) d2Tdx2_beta = np.sum((c1 - c2)**2 + 4*sigma) d2Tdy2_beta = np.sum((d1 - d2)**2 + 4*sigma) d2Tdxdy_beta = np.sum((c1 - c2)*(d1 - d2)) # compile derivatives of all contributions dTdx = ca * dTdx_alpha + cb * dTdx_beta dTdy = ca * dTdy_alpha + cb * dTdy_beta d2Tdx2 = ca * d2Tdx2_alpha + cb * d2Tdx2_beta d2Tdy2 = ca * d2Tdy2_alpha + cb * d2Tdy2_beta d2Tdxdy = ca * d2Tdxdy_alpha + cb * d2Tdxdy_beta # Newton iteration for optimization xnew = x - [d2Tdy2 * dTdx - d2Tdxdy * dTdy] / (d2Tdx2 * d2Tdy2 - (d2Tdxdy)**2) ynew = y - [d2Tdx2 * dTdy - d2Tdxdy * dTdx] / (d2Tdx2 * d2Tdy2 - (d2Tdxdy)**2) smoothed_vertices[cardinal] = (xnew[0], ynew[0]) smoothed_vertices_old[cardinal] = (x, y) tol = np.linalg.norm((xnew[0] - x, ynew[0] - y)) if verbose: logger.info(f'Iteration={iteration:3d}, residual={tol:.3e}') if tol < tolerance: break # update current cardinals for next iteration cardinals = self.make_cardinals(smoothed_vertices) if self.drawlines: self.mainwindow.scene.createItemGroup(self.drawlines) return smoothed_vertices def mapToUlines(self, smoothed_vertices): self.new_ulines = list() j = -1 for uline in self.block.getULines(): new_uline = list() for i in range(len(uline)): j += 1 new_uline.append(smoothed_vertices[j]) self.new_ulines.append(new_uline) return self.new_ulines ================================================ FILE: src/SplineRefine.py ================================================ import copy import numpy as np from scipy import interpolate from PySide6 import QtGui, QtCore from Utils import Utils import GraphicsItemsCollection as gic import GraphicsItem import logging logger = logging.getLogger(__name__) class SplineRefine: def __init__(self): # get MainWindow instance (overcomes handling parents) self.mainwindow = QtCore.QCoreApplication.instance().mainwindow def doSplineRefine(self, tolerance=172.0, points=150, ref_te=3, ref_te_n=6, ref_te_ratio=3.0): logger.debug('Arrived in doSplineRefine') # get raw coordinates x, y = self.mainwindow.airfoil.raw_coordinates # interpolate a spline through the raw contour points # constant point distribution used here # typically nose radius poorly resolved by that self.spline_data = self.spline(x, y, points=points, degree=3) # refine the contour in order to meet the tolerance # this keeps the constant distribution but refines around the nose spline_data = copy.deepcopy(self.spline_data) self.refine(spline_data, tolerance=tolerance) # redo spline on refined contour # spline only evaluated at refined contour points (evaluate=True) coo, u, t, der1, der2, tck = self.spline_data x, y = coo self.spline_data = self.spline(x, y, points=points, degree=3, evaluate=True) # refine the trailing edge of the spline self.refine_te(ref_te, ref_te_n, ref_te_ratio) # add spline data to airfoil object self.mainwindow.airfoil.spline_data = self.spline_data def getCamberThickness(self, spline_data, le_id): # split airfoil spline at leading edge # FIXME # FIXME why do I need to substract -3 here to be at LE ???? # FIXME u_le = spline_data[1][le_id - 3] upper = np.linspace(u_le, 0.0, 300) lower = np.linspace(u_le, 1.0, 300) tck = spline_data[5] coo_upper = interpolate.splev(upper, tck, der=0) coo_lower = interpolate.splev(lower, tck, der=0) camber = 0.5 * (np.array(coo_upper) + np.array(coo_lower)) thickness = np.array(coo_upper) - np.array(coo_lower) # maximum distance of y-coordinated to chord max_camber = np.max(camber[1]) pos_camber = np.where(camber[1] == max_camber) max_camber_pos = camber[0][pos_camber][0] # maximum thickness max_thickness = np.max(thickness) pos_thickness = np.where(thickness == max_thickness)[1] # print('coo_upper[0]', coo_upper[0]) max_thickness_pos = coo_upper[0][pos_thickness][0] # since we work with unit chord, multiply with 100 for percent logger.info('Maximum thickness: {:5.2f} % at {:5.2f} % chord' .format(max_thickness*100.0, max_thickness_pos*100.0)) # since we work with unit chord, multiply with 100 for percent logger.info('Maximum camber: {:5.2f} % at {:5.2f} % chord' .format(max_camber*100.0, max_camber_pos*100.0)) return camber def makeLeCircle(self, rc, xc, yc, xle, yle): # delete exitsing LE circle ItemGroup from scene if hasattr(self.mainwindow.airfoil, 'le_circle') and \ self.mainwindow.airfoil.le_circle in self.mainwindow.scene.items(): self.mainwindow.scene.removeItem(self.mainwindow.airfoil.le_circle) # put LE circle, center and tangent point in a list circles = list() circle = gic.GraphicsCollection() circle.pen.setColor(QtGui.QColor(0, 150, 0, 255)) circle.pen.setWidthF(0.3) # no pen thickness change when zoomed circle.pen.setCosmetic(True) circle.brush.setColor(QtGui.QColor(10, 200, 10, 150)) circle.Circle(xc, yc, rc) circle = GraphicsItem.GraphicsItem(circle) circles.append(circle) circle = gic.GraphicsCollection() circle.pen.setColor(QtGui.QColor(255, 0, 0, 255)) circle.pen.setWidthF(0.3) # no pen thickness change when zoomed circle.pen.setCosmetic(True) circle.brush.setColor(QtGui.QColor(255, 0, 0, 255)) circle.Circle(xc, yc, 0.0002) circle = GraphicsItem.GraphicsItem(circle) circles.append(circle) circle = gic.GraphicsCollection() circle.pen.setColor(QtGui.QColor(255, 0, 0, 255)) circle.pen.setWidthF(1.6) # no pen thickness change when zoomed circle.pen.setCosmetic(True) circle.brush.setColor(QtGui.QColor(255, 0, 0, 255)) circle.Circle(xle, yle, 0.0002) circle = GraphicsItem.GraphicsItem(circle) circles.append(circle) self.mainwindow.airfoil.le_circle = \ self.mainwindow.scene.createItemGroup(circles) self.mainwindow.airfoil.le_circle.setZValue(110) self.mainwindow.centralwidget.leading_edge_circle_checkbox.setChecked(True) self.mainwindow.centralwidget.leading_edge_circle_checkbox.setEnabled(True) def spline(self, x, y, points=200, degree=2, evaluate=False): """Interpolate spline through given points Args: spline (int, optional): Number of points on the spline degree (int, optional): Degree of the spline evaluate (bool, optional): If True, evaluate spline just at the coordinates of the knots """ # interpolate B-spline through data points # returns knots of control polygon # tck ... tuple (t,c,k) containing the vector of knots, # the B-spline coefficients, and the degree of the spline. # u ... array of the parameters for each knot # NOTE: s=0.0 is important as no smoothing should be done on the spline # after interpolating it tck, u = interpolate.splprep([x, y], s=0.0, k=degree) # number of points on interpolated B-spline (parameter t) t = np.linspace(0.0, 1.0, points) # if True, evaluate spline just at the coordinates of the knots if evaluate: t = u # evaluate B-spline at given parameters # der=0: returns point coordinates coo = interpolate.splev(t, tck, der=0) # evaluate 1st derivative at given parameters der1 = interpolate.splev(t, tck, der=1) # evaluate 2nd derivative at given parameters der2 = interpolate.splev(t, tck, der=2) spline_data = [coo, u, t, der1, der2, tck] return spline_data def refine(self, spline_data, tolerance=170.0, recursions=0): """Recursive refinement with respect to angle criterion (tol). If angle between two adjacent line segments is less than tol, a recursive refinement of the contour is performed until tol is met. Args: tol (float, optional): Angle between two adjacent contour segments recursions (int, optional): NO USER INPUT HERE Needed just for level information during recursions """ # self.spline_data = [coo, u, t, der1, der2, tck] xx, yy = spline_data[0] t = spline_data[2] tck = spline_data[5] logger.debug('\nPoints before refining: {} \n'.format(len(xx))) xn = copy.deepcopy(xx) yn = copy.deepcopy(yy) tn = copy.deepcopy(t) j = 0 refinements = 0 first = True refined = dict() for i in range(len(xx) - 2): refined[i] = False # angle between two contour line segments a = np.array([xx[i], yy[i]]) b = np.array([xx[i + 1], yy[i + 1]]) c = np.array([xx[i + 2], yy[i + 2]]) angle = Utils.angle_between(a - b, c - b, degree=True) if angle < tolerance: logger.debug('Refining between segments {} {},' .format(i, i + 1)) logger.debug('Tol={0:5.1f}, Angle={1:05.1f}\n' .format(tolerance, angle)) refined[i] = True refinements += 1 # parameters for new points t1 = (t[i] + t[i + 1]) / 2. t2 = (t[i + 1] + t[i + 2]) / 2. # coordinates of new points p1 = interpolate.splev(t1, tck, der=0) p2 = interpolate.splev(t2, tck, der=0) # insert points and their parameters into arrays if i > 0 and not refined[i - 1]: xn = np.insert(xn, i + 1 + j, p1[0]) yn = np.insert(yn, i + 1 + j, p1[1]) tn = np.insert(tn, i + 1 + j, t1) j += 1 xn = np.insert(xn, i + 2 + j, p2[0]) yn = np.insert(yn, i + 2 + j, p2[1]) tn = np.insert(tn, i + 2 + j, t2) j += 1 if first and recursions > 0: logger.debug('Recursion level: {} \n'.format(recursions)) first = False logger.debug('Points after refining: {}'.format(len(xn))) # update coordinate array, including inserted points spline_data[0] = (xn, yn) # update parameter array, including parameters of inserted points spline_data[2] = tn # this is the recursion :) if refinements > 0: self.refine(spline_data, tolerance, recursions + 1) # stopping from recursion if no refinements done in this recursion else: # update derivatives, including inserted points spline_data[3] = interpolate.splev(tn, tck, der=1) spline_data[4] = interpolate.splev(tn, tck, der=2) logger.debug('No more refinements.') logger.debug('\nTotal number of recursions: {}' .format(recursions - 1)) # due to recursive call to refine, here no object can be returned # instead use self to transfer data to the outer world :) self.spline_data = copy.deepcopy(spline_data) return def refine_te(self, ref_te, ref_te_n, ref_te_ratio): """Refine the airfoil contour at the trailing edge Args: ref_te (TYPE): Description ref_te_n (TYPE): Description ref_te_ratio (TYPE): Description Returns: TYPE: Description """ # get parameter of point to which refinement reaches tref = self.spline_data[2][ref_te] # calculate the new spacing at the trailing edge points spacing = self.spacing(divisions=ref_te_n, ratio=ref_te_ratio, thickness=tref) # insert new points with the spacing into the airfoil contour data x, y = self.spline_data[0] t = self.spline_data[2] tck = self.spline_data[5] # remove points which will be refined index = range(ref_te + 1) x = np.delete(x, index) y = np.delete(y, index) t = np.delete(t, index) index = range(len(x))[-(ref_te + 1):] x = np.delete(x, index) y = np.delete(y, index) t = np.delete(t, index) # add refined points for s in spacing[::-1]: # upper side p = interpolate.splev(s, tck, der=0) x = np.insert(x, 0, p[0]) y = np.insert(y, 0, p[1]) t = np.insert(t, 0, s) # lower side p = interpolate.splev(1. - s, tck, der=0) x = np.append(x, p[0]) y = np.append(y, p[1]) t = np.append(t, 1. - s) # update coordinate array, including inserted points self.spline_data[0] = (x, y) # update parameter array, including parameters of inserted points self.spline_data[2] = t # update derivatives, including inserted points self.spline_data[3] = interpolate.splev(t, tck, der=1) self.spline_data[4] = interpolate.splev(t, tck, der=2) def spacing(self, divisions=10, ratio=1.0, thickness=1.0): """Calculate point distribution on a line Args: divisions (int, optional): Number of subdivisions ratio (float, optional): Ratio of last to first subdivision size thickness (float, optional): length of line Returns: TYPE: Description """ if divisions == 1: sp = [0.0, 1.0] return np.array(sp) growth = ratio**(1.0 / (float(divisions) - 1.0)) if growth == 1.0: growth = 1.0 + 1.0e-10 s0 = 1.0 s = [s0] for i in range(1, divisions + 1): app = s0 * growth**i s.append(app) sp = np.array(s) sp -= sp[0] sp /= sp[-1] sp *= thickness return sp def writeContour(self): xr = self.raw_coordinates[0] xc = self.coordinates[0] yc = self.coordinates[1] s = '# Spline with {0} points based on initial contour'.format(len(xc)) s1 = '({0} points)\n'.format(len(xr)) info = s + s1 with open(self.name + '_spline_' + str(len(xc)) + '.dat', 'w') as f: f.write('#\n') f.write('# Airfoil: ' + self.name + '\n') f.write('# Created from ' + self.filename + '\n') f.write(info) f.write('#\n') for i in range(len(xc)): data = '{:10.8f} {:10.8f} \n'.format(xc[i], yc[i]) f.write(data) ================================================ FILE: src/SvpMethod.py ================================================ # -*- coding: utf-8 -*- """ Source-vortex panel method http://nbviewer.ipython.org/github/barbagroup/AeroPython/blob/master/ lessons/11_Lesson11_vortexSourcePanelMethod.ipynb Code under MIT license. (c)2014 Lorena A. Barba, Olivier Mesnard. """ import os import math import numpy from scipy import integrate from PySide6 import QtCore import logging logger = logging.getLogger(__name__) class Panel: """Contains information related to one panel.""" def __init__(self, xa, ya, xb, yb): """Creates a panel. Arguments --------- xa, ya -- Cartesian coordinates of the first end-point. xb, yb -- Cartesian coordinates of the second end-point. """ self.xa, self.ya = xa, ya self.xb, self.yb = xb, yb self.xc, self.yc = (xa+xb)/2, (ya+yb)/2 # control-point (center-point) self.length = math.sqrt((xb-xa)**2+(yb-ya)**2) # length of the panel # orientation of the panel (angle between x-axis and panel's normal) if xb-xa <= 0.: self.beta = math.acos((yb-ya)/self.length) elif xb-xa > 0.: self.beta = math.pi + math.acos(-(yb-ya)/self.length) # location of the panel if self.beta <= math.pi: self.loc = 'upper' else: self.loc = 'lower' self.sigma = 0. # source strength self.vt = 0. # tangential velocity self.cp = 0. # pressure coefficient class Freestream: """Freestream conditions.""" def __init__(self, u_inf=1.0, alpha=0.0): """Sets the freestream conditions. Arguments --------- u_inf -- Farfield speed (default 1.0). alpha -- Angle of attack in degrees (default 0.0). """ self.u_inf = u_inf self.alpha = alpha*math.pi/180 # degrees --> radians # # functions # def define_panels(x, y, N=40): """Discretizes the geometry into panels using 'cosine' method. Arguments --------- x, y -- Cartesian coordinates of the geometry (1D arrays). N - number of panels (default 40). Returns ------- panels -- Numpy array of panels. """ R = (x.max()-x.min())/2 # radius of the circle x_center = (x.max()+x.min())/2 # x-coord of the center x_circle = x_center + R*numpy.cos(numpy.linspace(0, 2*math.pi, N+1)) # x-coord of the circle points x_ends = numpy.copy(x_circle) # projection of the x-coord on the surface y_ends = numpy.empty_like(x_ends) # initialization of the y-coord Numpy array x, y = numpy.append(x, x[0]), numpy.append(y, y[0]) # extend arrays using numpy.append # computes the y-coordinate of end-points I = 0 for i in range(N): while I < len(x)-1: if (x[I] <= x_ends[i] <= x[I+1]) or (x[I+1] <= x_ends[i] <= x[I]): break else: I += 1 a = (y[I+1]-y[I])/(x[I+1]-x[I]) b = y[I+1] - a*x[I+1] y_ends[i] = a*x_ends[i] + b y_ends[N] = y_ends[0] panels = numpy.empty(N, dtype=object) for i in range(N): panels[i] = Panel(x_ends[i], y_ends[i], x_ends[i+1], y_ends[i+1]) return panels def integral(x, y, panel, dxdz, dydz): """Evaluates the contribution of a panel at one point. Arguments --------- x, y -- Cartesian coordinates of the point. panel -- panel which contribution is evaluated. dxdz -- derivative of x in the z-direction. dydz -- derivative of y in the z-direction. Returns ------- Integral over the panel of the influence at one point. """ def func(s): return (((x - (panel.xa - math.sin(panel.beta)*s))*dxdz + (y - (panel.ya + math.cos(panel.beta)*s))*dydz) / ((x - (panel.xa - math.sin(panel.beta)*s))**2 + (y - (panel.ya + math.cos(panel.beta)*s))**2)) return integrate.quad(lambda s: func(s), 0., panel.length)[0] def source_matrix(panels): """Builds the source matrix. Arguments --------- panels -- array of panels. Returns ------- A -- NxN matrix (N is the number of panels). """ N = len(panels) A = numpy.empty((N, N), dtype=float) numpy.fill_diagonal(A, 0.5) for i, p_i in enumerate(panels): for j, p_j in enumerate(panels): if i != j: A[i,j] = 0.5/math.pi*integral(p_i.xc, p_i.yc, p_j, math.cos(p_i.beta), math.sin(p_i.beta)) return A def vortex_array(panels): """Builds the vortex array. Arguments --------- panels - array of panels. Returns ------- a -- 1D array (Nx1, N is the number of panels). """ a = numpy.zeros(len(panels), dtype=float) for i, p_i in enumerate(panels): for j, p_j in enumerate(panels): if i != j: a[i] -= 0.5/math.pi*integral(p_i.xc, p_i.yc, p_j, +math.sin(p_i.beta), -math.cos(p_i.beta)) return a def kutta_array(panels): """Builds the Kutta-condition array. Arguments --------- panels -- array of panels. Returns ------- a -- 1D array (Nx1, N is the number of panels). """ N = len(panels) a = numpy.zeros(N+1, dtype=float) a[0] = 0.5/math.pi*integral(panels[N-1].xc, panels[N-1].yc, panels[0], -math.sin(panels[N-1].beta), +math.cos(panels[N-1].beta)) a[N-1] = 0.5/math.pi*integral(panels[0].xc, panels[0].yc, panels[N-1], -math.sin(panels[0].beta), +math.cos(panels[0].beta)) for i, panel in enumerate(panels[1:N-1]): a[i] = 0.5/math.pi*(integral(panels[0].xc, panels[0].yc, panel, -math.sin(panels[0].beta), +math.cos(panels[0].beta)) + integral(panels[N-1].xc, panels[N-1].yc, panel, -math.sin(panels[N-1].beta), +math.cos(panels[N-1].beta)) ) a[N] -= 0.5/math.pi*(integral(panels[0].xc, panels[0].yc, panel, +math.cos(panels[0].beta), +math.sin(panels[0].beta)) + integral(panels[N-1].xc, panels[N-1].yc, panel, +math.cos(panels[N-1].beta), +math.sin(panels[N-1].beta)) ) return a def build_matrix(panels): """Builds the matrix of the linear system. Arguments --------- panels -- array of panels. Returns ------- A -- (N+1)x(N+1) matrix (N is the number of panels). """ N = len(panels) A = numpy.empty((N+1, N+1), dtype=float) AS = source_matrix(panels) av = vortex_array(panels) ak = kutta_array(panels) A[0:N,0:N], A[0:N,N], A[N,:] = AS[:,:], av[:], ak[:] return A def build_rhs(panels, freestream): """Builds the RHS of the linear system. Arguments --------- panels -- array of panels. freestream -- farfield conditions. Returns ------- b -- 1D array ((N+1)x1, N is the number of panels). """ N = len(panels) b = numpy.empty(N+1,dtype=float) for i, panel in enumerate(panels): b[i] = - freestream.u_inf * math.cos(freestream.alpha - panel.beta) b[N] = -freestream.u_inf*( math.sin(freestream.alpha-panels[0].beta) +math.sin(freestream.alpha-panels[N-1].beta) ) return b def get_tangential_velocity(panels, freestream, gamma): """Computes the tangential velocity on the surface. Arguments --------- panels -- array of panels. freestream -- farfield conditions. gamma -- circulation density. """ N = len(panels) A = numpy.empty((N, N+1), dtype=float) numpy.fill_diagonal(A, 0.0) for i, p_i in enumerate(panels): for j, p_j in enumerate(panels): if i != j: A[i,j] = 0.5/math.pi*integral(p_i.xc, p_i.yc, p_j, -math.sin(p_i.beta), +math.cos(p_i.beta)) A[i,N] -= 0.5/math.pi*integral(p_i.xc, p_i.yc, p_j, +math.cos(p_i.beta), +math.sin(p_i.beta)) b = freestream.u_inf * numpy.sin([freestream.alpha - panel.beta for panel in panels]) var = numpy.append([panel.sigma for panel in panels], gamma) vt = numpy.dot(A, var) + b for i, panel in enumerate(panels): panel.vt = vt[i] def get_velocity_field(panels, freestream, X, Y): """Returns the velocity field. Arguments --------- panels -- array of panels. freestream -- farfield conditions. X, Y -- mesh grid. """ Nx, Ny = X.shape u, v = numpy.empty((Nx, Ny), dtype=float), numpy.empty((Nx, Ny), dtype=float) for i in range(Nx): for j in range(Ny): u[i,j] = freestream.u_inf*math.cos(freestream.alpha)\ + 0.5/math.pi*sum([p.sigma*integral(X[i,j], Y[i,j], p, 1, 0) for p in panels]) v[i,j] = freestream.u_inf*math.sin(freestream.alpha)\ + 0.5/math.pi*sum([p.sigma*integral(X[i,j], Y[i,j], p, 0, 1) for p in panels]) return u, v def get_pressure_field(u, v, freestream): cp = 1.0 - (u**2+v**2)/freestream.u_inf**2 return cp def get_meshgrid(panels, Nx, Ny, val_x, val_y): # defines a mesh grid # Nx, Ny = 20, 20 # val_x, val_y = 1.0, 2.0 x_min, x_max = min( panel.xa for panel in panels ), max( panel.xa for panel in panels ) y_min, y_max = min( panel.ya for panel in panels ), max( panel.ya for panel in panels ) x_start, x_end = x_min-val_x*(x_max-x_min), x_max+val_x*(x_max-x_min) y_start, y_end = y_min-val_y*(y_max-y_min), y_max+val_y*(y_max-y_min) X, Y = numpy.meshgrid(numpy.linspace(x_start, x_end, Nx), numpy.linspace(y_start, y_end, Ny)) return X, Y def get_pressure_coefficient(panels, freestream): """Computes the surface pressure coefficients. Arguments --------- panels -- array of panels. freestream -- farfield conditions. """ for panel in panels: panel.cp = 1.0 - (panel.vt/freestream.u_inf)**2 def runSVP(name, x, y, u_inf, alpha, npanel=40): x = numpy.array(x) y = numpy.array(y) panels = define_panels(x, y, npanel) # discretizes of the geometry into panels # plots the geometry and the panels val_x, val_y = 0.1, 0.2 x_min, x_max = min( panel.xa for panel in panels ), max( panel.xa for panel in panels ) #y_min, y_max = min( panel.ya for panel in panels ), max( panel.ya for panel in panels ) #x_start, x_end = x_min-val_x*(x_max-x_min), x_max+val_x*(x_max-x_min) #y_start, y_end = y_min-val_y*(y_max-y_min), y_max+val_y*(y_max-y_min) # defines and creates the object freestream freestream = Freestream(u_inf, alpha) # calculates the singularity matrix A = build_matrix(panels) # calculates the freestream RHS b = build_rhs(panels, freestream) # solves the linear system variables = numpy.linalg.solve(A, b) for i, panel in enumerate(panels): panel.sigma = variables[i] gamma = variables[-1] # time = QtCore.QTime() # time.start() # computes the tangential velocity at each panel center. get_tangential_velocity(panels, freestream, gamma) # computes surface pressure coefficient get_pressure_coefficient(panels, freestream) # calculates the accuracy accuracy = sum([panel.sigma*panel.length for panel in panels]) logger.debug('Accuracy (sum of source/sink strengths) = {}'.format(accuracy)) # calculates of the lift cl = gamma*sum(panel.length for panel in panels) / \ (0.5*freestream.u_inf*(x_max-x_min)) logger.info(f'Aerodynamic properties of {os.path.splitext(name)[0]}:') logger.info(f'Cl = {cl:6.3f} [-] at Uinf = {u_inf:6.3f} [m/s], ' f'and AOA = {alpha:6.3f} [degree]') ================================================ FILE: src/ToolBox.py ================================================ # -*- coding: utf-8 -*- import os import numpy as np from PySide6 import QtGui, QtCore, QtWidgets import PyAero import Airfoil import FileDialog import FileSystem import SvpMethod import SplineRefine import TrailingEdge import Meshing import ContourAnalysis as ca from Settings import ICONS_L import logging logger = logging.getLogger(__name__) class Toolbox(QtWidgets.QToolBox): def __init__(self, parent): """Main menus for PyAero functionality. Inserted in left pane of splitter window which in turn is the app's CentralWidget. Args: parent (QWidget): MainWindow from PyAero.py """ super().__init__() self.parent = parent # set the style (css) style = """ QToolBox::tab { border: 3px; background-color: #DDDDDD; color: black; } QToolBox::tab:pressed { background-color: #CCCCCD; } QToolBox::tab:selected { font: bold; } """ self.setStyleSheet(style) # create toolbox items self.itemFileSystem() self.itemAeropython() self.itemBoundaryCondtions() self.itemContourAnalysis() self.itemSplineRefine() self.itemMeshing() self.makeToolbox() self.currentChanged.connect(self.toolboxChanged) def toolboxChanged(self): # tb1 = 'Airfoil Database' # tb2 = 'Contour Splining and Refinement' # tb4 = 'Meshing' # tb6 = 'Aerodynamics Boundary Conditions' # tb5 = 'Aerodynamics (Panel Code)' # tb3 = 'Contour Analysis' if self.currentIndex() == self.tb1: self.parent.centralwidget.tabs.setCurrentIndex(0) if self.currentIndex() == self.tb3: self.parent.centralwidget.tabs.setCurrentIndex(1) # update points on airfoil when toolbox changed to meshing if self.currentIndex() == self.tb4 and self.parent.airfoil: pts = len(self.parent.airfoil.spline_data[0][0]) self.points_on_airfoil.setText(str(pts)) def itemFileSystem(self): self.item_fs = QtWidgets.QWidget() layout = QtWidgets.QVBoxLayout() self.item_fs.setLayout(layout) # instance of QFileSystemModel filesystem_model = FileSystem.FileSystemModel() root_path = filesystem_model.rootPath() self.tree = QtWidgets.QTreeView() self.tree.setModel(filesystem_model) self.tree.setRootIndex(filesystem_model.index(root_path)) self.tree.setAnimated(True) # hide size column self.tree.setColumnHidden(1, True) # hide type column self.tree.setColumnHidden(2, True) # hide date modified column self.tree.setColumnHidden(3, True) # hide the header line of the filesystem tree # the header line would consist of name, date, type, size # the latter three are hidden anyway (see above) header = self.tree.header() header.hide() # handler self.tree.clicked.connect(filesystem_model.onFileSelected) self.tree.doubleClicked.connect(filesystem_model.onFileLoad) layout.addWidget(self.tree, stretch=12) # layout.setAlignment(QtCore.Qt.AlignTop) self.header = QtWidgets.QLabel('Loaded airfoil(s)') self.header.setEnabled(False) layout.addStretch(stretch=2) layout.addWidget(self.header) self.listwidget = ListWidget(self.parent) self.listwidget.setEnabled(False) # allow only single selections self.listwidget.setSelectionMode(QtWidgets.QAbstractItemView. SingleSelection) layout.addWidget(self.listwidget, stretch=5) layout.addStretch(stretch=1) def itemAeropython(self): form = QtWidgets.QFormLayout() label1 = QtWidgets.QLabel(u'Angle of attack (°)') self.aoaAP = QtWidgets.QDoubleSpinBox() self.aoaAP.setSingleStep(0.1) self.aoaAP.setDecimals(1) self.aoaAP.setRange(-10.0, 10.0) self.aoaAP.setValue(0.0) form.addRow(label1, self.aoaAP) label2 = QtWidgets.QLabel('Freestream velocity (m/s)') self.freestream = QtWidgets.QDoubleSpinBox() self.freestream.setSingleStep(0.1) self.freestream.setDecimals(2) self.freestream.setRange(0.0, 100.0) self.freestream.setValue(10.0) form.addRow(label2, self.freestream) label3 = QtWidgets.QLabel('Number of panels (-)') self.panels = QtWidgets.QSpinBox() self.panels.setRange(10, 500) self.panels.setValue(40) form.addRow(label3, self.panels) panelMethodButton = QtWidgets.QPushButton('Calculate lift coefficient') form.addRow(panelMethodButton) self.item_ap = QtWidgets.QGroupBox('AeroPython Panel Method') self.item_ap.setLayout(form) panelMethodButton.clicked.connect(self.runPanelMethod) def itemBoundaryCondtions(self): form = QtWidgets.QFormLayout() label = QtWidgets.QLabel(u'Reynolds Number (-)') self.reynolds = QtWidgets.QDoubleSpinBox() self.reynolds.setSingleStep(10000.0) self.reynolds.setDecimals(2) self.reynolds.setRange(0.0, 1.0e10) self.reynolds.setValue(100000.0) self.reynolds.valueChanged.connect(self.valuechange) form.addRow(label, self.reynolds) label = QtWidgets.QLabel(u'Chord Length (m)') self.chord = QtWidgets.QDoubleSpinBox() self.chord.setSingleStep(0.01) self.chord.setDecimals(2) self.chord.setRange(0.0, 1.0e10) self.chord.setValue(1.0) self.chord.valueChanged.connect(self.valuechange) form.addRow(label, self.chord) # angle of attack (from, to, step) # from label = QtWidgets.QLabel(u'Angle of Attack (from) (°)') self.aoaf = QtWidgets.QDoubleSpinBox() self.aoaf.setSingleStep(0.1) self.aoaf.setDecimals(2) self.aoaf.setRange(-90.0, 90.0) self.aoaf.setValue(-10.0) form.addRow(label, self.aoaf) # to label = QtWidgets.QLabel(u'Angle of Attack (to) (°)') self.aoat = QtWidgets.QDoubleSpinBox() self.aoat.setSingleStep(0.1) self.aoat.setDecimals(2) self.aoat.setRange(-90.0, 90.0) self.aoat.setValue(10.0) form.addRow(label, self.aoat) # step label = QtWidgets.QLabel(u'Angle of Attack (step) (°)') self.aoas = QtWidgets.QDoubleSpinBox() self.aoas.setSingleStep(0.1) self.aoas.setDecimals(2) self.aoas.setRange(0.0, 90.0) self.aoas.setValue(1.0) form.addRow(label, self.aoas) self.aoaf.valueChanged.connect(self.valuechange) self.aoat.valueChanged.connect(self.valuechange) self.aoas.valueChanged.connect(self.valuechange) label = QtWidgets.QLabel(u'Freestream Turbulence Intensity (%)') self.turbulence = QtWidgets.QDoubleSpinBox() self.turbulence.setSingleStep(0.1) self.turbulence.setDecimals(2) self.turbulence.setRange(0.0, 100.0) self.turbulence.setValue(2.0) self.turbulence.valueChanged.connect(self.valuechange) form.addRow(label, self.turbulence) label = QtWidgets.QLabel(u'Freestream Length Scale (m)') self.length_sc = QtWidgets.QDoubleSpinBox() self.length_sc.setSingleStep(0.01) self.length_sc.setDecimals(3) self.length_sc.setRange(1.e-6, 1.0e10) self.length_sc.setValue(0.05) self.length_sc.valueChanged.connect(self.valuechange) form.addRow(label, self.length_sc) label = QtWidgets.QLabel(u'Pressure (Pa)') self.pressure = QtWidgets.QDoubleSpinBox() self.pressure.setSingleStep(1000.0) self.pressure.setDecimals(2) self.pressure.setRange(0.0, 1.0e10) self.pressure.setValue(101325.0) self.pressure.valueChanged.connect(self.valuechange) form.addRow(label, self.pressure) label = QtWidgets.QLabel(u'Temperature (°C)') self.temperature = QtWidgets.QDoubleSpinBox() self.temperature.setSingleStep(1.0) self.temperature.setDecimals(2) self.temperature.setRange(-273.15, 1.0e10) self.temperature.setValue(20.0) self.temperature.valueChanged.connect(self.valuechange) form.addRow(label, self.temperature) label = QtWidgets.QLabel(u'Flat plate y\u207a (-)') self.yplus = QtWidgets.QDoubleSpinBox() self.yplus.setSingleStep(1.0) self.yplus.setDecimals(2) self.yplus.setRange(1e-6, 1.0e10) self.yplus.setValue(30.0) self.yplus.valueChanged.connect(self.valuechange) form.addRow(label, self.yplus) self.textedit = QtWidgets.QTextEdit() self.textedit.setReadOnly(True) self.textedit.selectionChanged.connect(self.copy_to_clipboard) # update text box (so everything is computed from initial values) self.valuechange() copy_button = QtWidgets.QPushButton('Copy to clipboard') copy_button.setGeometry(10, 10, 200, 50) copy_button.clicked.connect(self.copy_all_to_clipboard) text_and_button = QtWidgets.QHBoxLayout() text_and_button.addWidget(self.textedit, stretch=10) text_and_button.addWidget(copy_button) form.addRow(text_and_button) self.item_abc = QtWidgets.QGroupBox( 'Aerodynamic boundary conditions for CFD') self.item_abc.setLayout(form) def copy_to_clipboard(self): """ Copy any selected text in the self.textedit to the clipboard """ self.textedit.copy() def copy_all_to_clipboard(self): """ Copy any selected text in the self.textedit to the clipboard """ self.textedit.selectAll() self.textedit.copy() # weird way to unselect the text again # https://stackoverflow.com/a/25348576/2264936 cursor = self.textedit.textCursor() cursor.clearSelection() self.textedit.setTextCursor(cursor) vsb = self.textedit.verticalScrollBar() vsb.setValue(QtWidgets.QAbstractSlider.SliderToMaximum) def valuechange(self): # checks that from and to do not overlap if self.aoaf.value() >= self.aoat.value(): self.aoaf.setValue(self.aoat.value() - self.aoas.value()) if self.aoat.value() <= self.aoaf.value(): self.aoat.setValue(self.aoaf.value() + self.aoas.value()) gas_constant = 287.14 temperature = self.temperature.value() + 273.15 self.density = self.pressure.value() / gas_constant / temperature num = int((self.aoat.value() - self.aoaf.value()) / self.aoas.value() + 1) self.aoa = np.linspace(self.aoaf.value(), self.aoat.value(), num=num, endpoint=True) def dynamic_viscosity(temperature): # Sutherland formula for air C = 120.0 lamb = 1.512041288e-6 vis = lamb * temperature**1.5 / (temperature + C) return vis # calculate results wrt given inputs self.dynamic_viscosity = dynamic_viscosity(temperature) self.kinematic_viscosity = self.dynamic_viscosity / self.density velocity = self.reynolds.value() / self.chord.value() * \ self.kinematic_viscosity uprime = velocity * self.turbulence.value() / 100.0 tke = 3.0 / 2.0 * uprime**2 self.u_velocity = velocity * np.cos(self.aoa * np.pi / 180.0) self.v_velocity = velocity * np.sin(self.aoa * np.pi / 180.0) # calculate 1st cell thickness from y-plus and Reynolds, etc. RE = self.reynolds.value() log10 = np.log10(RE) logRE = np.power(log10, 2.58) if RE < 5.1e6: friction_coefficient = 0.455 / logRE else: friction_coefficient = 0.455 / logRE - 1700.0 / RE wall_shear_stress = friction_coefficient * 0.5 * self.density * velocity**2 friction_velocity = np.sqrt(wall_shear_stress / self.density) wall_distance = self.yplus.value() * self.dynamic_viscosity / self.density / friction_velocity # text for displaying the results newline = '
' self.te_text = 'CFD Boundary Conditions' + newline self.te_text += f'Reynolds (-): {self.reynolds.value()}' + newline self.te_text += f'Pressure (Pa): {self.pressure.value()}' + newline self.te_text += f'Temperature (C): {self.temperature.value()}' + newline self.te_text += f'Temperature (K): {self.temperature.value()+273.15}' + newline self.te_text += f'Density (kg/(m3)): {self.density}' + newline self.te_text += f'Dynamic viscosity (kg/(m.s)): {self.dynamic_viscosity}' + newline self.te_text += f'Kinematic viscosity (m/s) {self.kinematic_viscosity}:' + newline self.te_text += f'1st cell layer thickness (m), for y+={self.yplus.value()}' + newline self.te_text += '{:16.8f}'.format(wall_distance) + newline self.te_text += 'TKE (m2/s2), Length-scale (m)' + newline self.te_text += '{:16.8f} {:16.8f}'.\ format(tke, self.length_sc.value()) + newline self.te_text += 'AOA (°) u-velocity (m/s) v-velocity (m/s)' + newline for i, _ in enumerate(self.u_velocity): self.te_text += '{: >5.2f} {: >16.8f} {: >16.8f}{}'.format( self.aoa[i], self.u_velocity[i], self.v_velocity[i], newline) self.textedit.setStyleSheet('font-family: Courier; font-size: 12px; ') # update the text boxwith the current values self.textedit.setHtml(self.te_text) def itemContourAnalysis(self): box = QtWidgets.QVBoxLayout() vlayout = QtWidgets.QVBoxLayout() gb = QtWidgets.QGroupBox('Select contour to analyze') self.b1 = QtWidgets.QRadioButton('Original') self.b2 = QtWidgets.QRadioButton('Refined') self.b2.setChecked(True) vlayout.addWidget(self.b1) vlayout.addWidget(self.b2) gb.setLayout(vlayout) box.addWidget(gb) vlayout = QtWidgets.QVBoxLayout() self.cgb = QtWidgets.QGroupBox('Select plot quantity') self.cpb1 = QtWidgets.QRadioButton('Gradient') self.cpb2 = QtWidgets.QRadioButton('Curvature') self.cpb3 = QtWidgets.QRadioButton('Radius of Curvature') self.cpb1.setChecked(True) vlayout.addWidget(self.cpb1) vlayout.addWidget(self.cpb2) vlayout.addWidget(self.cpb3) self.cgb.setLayout(vlayout) self.cgb.setEnabled(False) box.addWidget(self.cgb) analyzeButton = QtWidgets.QPushButton('Analyze Contour') analyzeButton.setGeometry(10, 10, 200, 50) box.addWidget(analyzeButton) box.addStretch(1) self.item_ca = QtWidgets.QWidget() self.item_ca.setLayout(box) analyzeButton.clicked.connect(self.analyzeAirfoil) def itemMeshing(self): self.form_mesh_airfoil = QtWidgets.QFormLayout() label = QtWidgets.QLabel(u'Gridpoints along airfoil') label.setToolTip('Number of points as derived from splining') points = 0 self.points_on_airfoil = QtWidgets.QLineEdit(str(points)) self.points_on_airfoil.setEnabled(False) self.form_mesh_airfoil.addRow(label, self.points_on_airfoil) label = QtWidgets.QLabel(u'Divisions normal to airfoil') label.setToolTip('Number of points in the mesh which is constructed ' + ' normal to the airfoil contour') self.points_n = QtWidgets.QSpinBox() self.points_n.setSingleStep(1) self.points_n.setRange(1, 500) self.points_n.setValue(15) self.form_mesh_airfoil.addRow(label, self.points_n) label = QtWidgets.QLabel('1st cell layer thickness (m)') label.setToolTip('Thickness of 1st cell layer perpendicular to the airfoil') self.normal_thickness = QtWidgets.QDoubleSpinBox() self.normal_thickness.setSingleStep(0.001) self.normal_thickness.setRange(1.e-10, 1.e10) self.normal_thickness.setDecimals(8) self.normal_thickness.setValue(0.00400) self.form_mesh_airfoil.addRow(label, self.normal_thickness) label = QtWidgets.QLabel('Cell growth rate (-)') label.setToolTip('Rate at which 1st cell layer grows') self.ratio = QtWidgets.QDoubleSpinBox() self.ratio.setSingleStep(0.01) self.ratio.setRange(1., 100.) self.ratio.setValue(1.05) self.ratio.setDecimals(3) self.form_mesh_airfoil.addRow(label, self.ratio) self.form_mesh_TE = QtWidgets.QFormLayout() label = QtWidgets.QLabel(u'Divisions at trailing edge') label.setToolTip('Number of subdivisions along the vertical part of the TE') self.te_div = QtWidgets.QSpinBox() self.te_div.setSingleStep(1) self.te_div.setRange(1, 20) self.te_div.setValue(3) self.form_mesh_TE.addRow(label, self.te_div) label = QtWidgets.QLabel(u'Divisions downstream') label.setToolTip('Number of subdivisions downstream within the TE block') self.points_te = QtWidgets.QSpinBox() self.points_te.setSingleStep(1) self.points_te.setRange(1, 100) self.points_te.setValue(15) self.form_mesh_TE.addRow(label, self.points_te) label = QtWidgets.QLabel('1st cell layer thickness (m)') label.setToolTip('Thickness of first cell layer in downstream direction') self.length_te = QtWidgets.QDoubleSpinBox() self.length_te.setSingleStep(0.001) self.length_te.setRange(1.e-10, 1.e10) self.length_te.setDecimals(8) self.length_te.setValue(0.00400) self.form_mesh_TE.addRow(label, self.length_te) label = QtWidgets.QLabel('Cell growth rate (-)') label.setToolTip('Rate at which 1st cell layer downstream the TE grows') self.ratio_te = QtWidgets.QDoubleSpinBox() self.ratio_te.setSingleStep(0.01) self.ratio_te.setRange(1., 100.) self.ratio_te.setValue(1.05) self.ratio_te.setDecimals(3) self.form_mesh_TE.addRow(label, self.ratio_te) self.form_mesh_tunnel = QtWidgets.QFormLayout() label = QtWidgets.QLabel('Windtunnel Height (chords)') label.setToolTip('The height of the windtunnel in units ' + 'of chord length') self.tunnel_height = QtWidgets.QDoubleSpinBox() self.tunnel_height.setSingleStep(0.1) self.tunnel_height.setRange(0.1, 100.) self.tunnel_height.setValue(3.5) self.tunnel_height.setDecimals(1) self.form_mesh_tunnel.addRow(label, self.tunnel_height) label = QtWidgets.QLabel(u'Divisions of Tunnel Height') self.divisions_height = QtWidgets.QSpinBox() self.divisions_height.setSingleStep(10) self.divisions_height.setRange(1, 1000) self.divisions_height.setValue(100) self.form_mesh_tunnel.addRow(label, self.divisions_height) label = QtWidgets.QLabel('Cell Thickness ratio (-)') self.ratio_height = QtWidgets.QDoubleSpinBox() self.ratio_height.setSingleStep(1.0) self.ratio_height.setRange(0.1, 100.) self.ratio_height.setValue(10.0) self.ratio_height.setDecimals(1) self.form_mesh_tunnel.addRow(label, self.ratio_height) label = QtWidgets.QLabel('Distribution biasing') self.dist = QtWidgets.QComboBox() self.dist.addItems(['symmetric', 'lower', 'upper']) self.dist.setCurrentIndex(0) self.form_mesh_tunnel.addRow(label, self.dist) self.form_mesh_wake = QtWidgets.QFormLayout() label = QtWidgets.QLabel('Windtunnel Wake (chords)') label.setToolTip('The length of the wake of the windtunnel in ' + 'units of chord length') self.tunnel_wake = QtWidgets.QDoubleSpinBox() self.tunnel_wake.setSingleStep(0.1) self.tunnel_wake.setRange(0.1, 100.) self.tunnel_wake.setValue(7.0) self.tunnel_wake.setDecimals(1) self.form_mesh_wake.addRow(label, self.tunnel_wake) label = QtWidgets.QLabel(u'Divisions in the wake') self.divisions_wake = QtWidgets.QSpinBox() self.divisions_wake.setSingleStep(10) self.divisions_wake.setRange(1, 1000) self.divisions_wake.setValue(100) self.form_mesh_wake.addRow(label, self.divisions_wake) label = QtWidgets.QLabel('Cell Thickness ratio (-)') label.setToolTip('Thickness of the last cell vs. the first cell in ' + 'the wake mesh block') self.ratio_wake = QtWidgets.QDoubleSpinBox() self.ratio_wake.setSingleStep(0.1) self.ratio_wake.setRange(0.01, 100.0) self.ratio_wake.setValue(15.0) self.ratio_wake.setDecimals(1) self.form_mesh_wake.addRow(label, self.ratio_wake) label = QtWidgets.QLabel('Equalize vertical wake line at (%)') label.setToolTip('Equalize the wake line vertically. ' + 'Homogeneous vertical distribution at x% downstream') self.spread = QtWidgets.QDoubleSpinBox() self.spread.setSingleStep(5.0) self.spread.setRange(10.0, 90.0) self.spread.setValue(30.0) self.spread.setDecimals(1) self.form_mesh_wake.addRow(label, self.spread) # smoothing parameters label = QtWidgets.QLabel('Smoothing') label.setToolTip('Specify algorithm and parameters for smoothing') self.btn_smoother_1 = QtWidgets.QRadioButton('Simple (fast)') self.btn_smoother_2 = QtWidgets.QRadioButton('Elliptic (medium)') self.btn_smoother_3 = QtWidgets.QRadioButton('Angle based (slow)') # initialize simple smoother self.btn_smoother_1.setChecked(True) self.smoothing_algorithm = 'simple' self.btn_smoother_1.clicked.connect(self.smoother_btn_clicked) self.btn_smoother_2.clicked.connect(self.smoother_btn_clicked) self.btn_smoother_3.clicked.connect(self.smoother_btn_clicked) smoother_settings = QtWidgets.QFormLayout() label = QtWidgets.QLabel('Iterations') self.smoother_iterations = QtWidgets.QSpinBox() self.smoother_iterations.setValue(20) self.smoother_iterations.setSingleStep(5) self.smoother_iterations.setRange(0, 1000) self.smoother_iterations.setEnabled(False) smoother_settings.addRow(label, self.smoother_iterations) label = QtWidgets.QLabel('Tolerance') self.smoother_tolerance = QtWidgets.QLineEdit() self.onlyFloat = QtGui.QDoubleValidator() self.smoother_tolerance.setValidator(self.onlyFloat) self.smoother_tolerance.setText('1.e-5') self.onlyFloat.setRange(1.e-8, 1.0) self.onlyFloat.setDecimals(8) self.smoother_tolerance.setEnabled(False) smoother_settings.addRow(label, self.smoother_tolerance) hbox_smoothing = QtWidgets.QHBoxLayout() vbox1 = QtWidgets.QVBoxLayout() vbox2 = QtWidgets.QVBoxLayout() vbox1.addWidget(self.btn_smoother_1) vbox1.addWidget(self.btn_smoother_2) vbox1.addWidget(self.btn_smoother_3) vbox2.addLayout(smoother_settings) hbox_smoothing.addLayout(vbox1) hbox_smoothing.addLayout(vbox2) vbox = QtWidgets.QVBoxLayout() vbox.addLayout(self.form_mesh_airfoil) box_airfoil = QtWidgets.QGroupBox('Airfoil contour mesh') box_airfoil.setLayout(vbox) vbox = QtWidgets.QVBoxLayout() vbox.addLayout(self.form_mesh_TE) box_TE = QtWidgets.QGroupBox('Airfoil trailing edge mesh') box_TE.setLayout(vbox) vbox = QtWidgets.QVBoxLayout() vbox.addLayout(self.form_mesh_tunnel) box_tunnel = QtWidgets.QGroupBox('Windtunnel mesh (around airfoil)') box_tunnel.setLayout(vbox) vbox = QtWidgets.QVBoxLayout() vbox.addLayout(self.form_mesh_wake) box_wake = QtWidgets.QGroupBox('Windtunnel mesh (wake)') box_wake.setLayout(vbox) box_smoothing = QtWidgets.QGroupBox('Smoothing') box_smoothing.setLayout(hbox_smoothing) self.createMeshButton = QtWidgets.QPushButton('Create Mesh') hbl_cm = QtWidgets.QHBoxLayout() hbl_cm.addStretch(stretch=1) hbl_cm.addWidget(self.createMeshButton, stretch=4) hbl_cm.addStretch(stretch=1) # boundary definitions label = QtWidgets.QLabel('Boundary definitions:') label.setToolTip('Here you can define the names of the boundaries ' + 'for the mesh export') grid1 = QtWidgets.QGridLayout() grid1.addWidget(label, 0, 0) # export menu and boundary definitions self.form_bnd = QtWidgets.QFormLayout() header_1 = QtWidgets.QLabel('Boundary') header_1.setStyleSheet('font-weight: bold;') header_2 = QtWidgets.QLabel('Name') header_2.setStyleSheet('font-weight: bold;') self.form_bnd.addRow(header_1, header_2) label = QtWidgets.QLabel('Airfoil') label.setToolTip('Name of the boundary definition for the airfoil') self.lineedit_airfoil = QtWidgets.QLineEdit('Airfoil') self.form_bnd.addRow(label, self.lineedit_airfoil) label = QtWidgets.QLabel('Inlet (C-arc)') label.setToolTip('Name of the boundary definition for the inlet') self.lineedit_inlet = QtWidgets.QLineEdit('Inlet') self.form_bnd.addRow(label, self.lineedit_inlet) label = QtWidgets.QLabel('Outlet') label.setToolTip('Name of the boundary definition for the outlet') self.lineedit_outlet = QtWidgets.QLineEdit('Outlet') self.form_bnd.addRow(label, self.lineedit_outlet) label = QtWidgets.QLabel('Top') label.setToolTip('Name of the boundary definition for the top of the windtunnel') self.lineedit_top = QtWidgets.QLineEdit('Top') self.form_bnd.addRow(label, self.lineedit_top) label = QtWidgets.QLabel('Bottom') label.setToolTip('Name of the boundary definition for the bottom of the windtunnel') self.lineedit_bottom = QtWidgets.QLineEdit('Bottom') self.form_bnd.addRow(label, self.lineedit_bottom) self.check_FIRE = QtWidgets.QCheckBox('AVL FIRE') self.check_SU2 = QtWidgets.QCheckBox('SU2') self.check_GMSH = QtWidgets.QCheckBox('GMSH') self.check_VTK = QtWidgets.QCheckBox('VTK (VTU)') self.check_FIRE.setChecked(True) self.check_SU2.setChecked(True) self.check_GMSH.setChecked(False) self.check_VTK.setChecked(False) label = QtWidgets.QLabel('Export format:') label.setToolTip('Check format to be exported') grid = QtWidgets.QGridLayout() grid.addWidget(label, 0, 0) grid.addWidget(self.check_FIRE, 1, 1) grid.addWidget(self.check_SU2, 1, 2) grid.addWidget(self.check_GMSH, 1, 3) grid.addWidget(self.check_VTK, 2, 1) exportMeshButton = QtWidgets.QPushButton('Export Mesh') hbl = QtWidgets.QHBoxLayout() hbl.addStretch(stretch=1) hbl.addWidget(exportMeshButton, stretch=4) hbl.addStretch(stretch=1) vbl1 = QtWidgets.QVBoxLayout() vbl1.addLayout(grid1) vbl1.addLayout(self.form_bnd) vbl1.addLayout(grid) vbl1.addLayout(hbl) self.box_meshexport = QtWidgets.QGroupBox('Mesh Export') self.box_meshexport.setLayout(vbl1) self.box_meshexport.setEnabled(False) vbl = QtWidgets.QVBoxLayout() vbl.addStretch(1) vbl.addWidget(box_airfoil) vbl.addWidget(box_TE) vbl.addWidget(box_tunnel) vbl.addWidget(box_wake) vbl.addWidget(box_smoothing) vbl.addLayout(hbl_cm) vbl.addStretch(1) vbl.addWidget(self.box_meshexport) vbl.addStretch(10) self.item_msh = QtWidgets.QWidget() self.item_msh.setLayout(vbl) self.createMeshButton.clicked.connect(self.generateMesh) exportMeshButton.clicked.connect(self.exportMesh) def itemSplineRefine(self): form = QtWidgets.QFormLayout() label = QtWidgets.QLabel(u'Refinement tolerance (°)') self.tolerance = QtWidgets.QDoubleSpinBox() self.tolerance.setSingleStep(0.1) self.tolerance.setDecimals(1) self.tolerance.setRange(50.0, 177.0) self.tolerance.setValue(172.0) form.addRow(label, self.tolerance) label = QtWidgets.QLabel(u'Refine trailing edge (old segments)') label.setToolTip('Specify the number of segments at the trailing edge which should be refined.') self.ref_te = QtWidgets.QSpinBox() self.ref_te.setSingleStep(1) self.ref_te.setRange(1, 50) self.ref_te.setValue(3) form.addRow(label, self.ref_te) label = QtWidgets.QLabel(u'Refine trailing edge (new segments)') self.ref_te_n = QtWidgets.QSpinBox() self.ref_te_n.setSingleStep(1) self.ref_te_n.setRange(1, 100) self.ref_te_n.setValue(6) form.addRow(label, self.ref_te_n) label = QtWidgets.QLabel(u'Refine trailing edge ratio') self.ref_te_ratio = QtWidgets.QDoubleSpinBox() self.ref_te_ratio.setSingleStep(0.1) self.ref_te_ratio.setDecimals(1) self.ref_te_ratio.setRange(1., 10.) self.ref_te_ratio.setValue(3.0) form.addRow(label, self.ref_te_ratio) label = QtWidgets.QLabel('Number points on spline (-)') self.points = QtWidgets.QSpinBox() self.points.setSingleStep(10) self.points.setRange(10, 1000) self.points.setValue(200) form.addRow(label, self.points) self.splineButton = QtWidgets.QPushButton('Spline and Refine') hbl = QtWidgets.QHBoxLayout() hbl.addStretch(stretch=1) hbl.addWidget(self.splineButton, stretch=4) hbl.addStretch(stretch=1) vbox = QtWidgets.QVBoxLayout() vbox.addLayout(form) vbox.addLayout(hbl) box = QtWidgets.QGroupBox('Airfoil contour refinement') box.setLayout(vbox) form1 = QtWidgets.QFormLayout() label = QtWidgets.QLabel(u'Upper side blending length (%)') self.blend_u = QtWidgets.QDoubleSpinBox() self.blend_u.setSingleStep(1.0) self.blend_u.setDecimals(1) self.blend_u.setRange(0.1, 100.0) self.blend_u.setValue(30.0) form1.addRow(label, self.blend_u) label = QtWidgets.QLabel(u'Lower side blending length (%)') self.blend_l = QtWidgets.QDoubleSpinBox() self.blend_l.setSingleStep(1.0) self.blend_l.setDecimals(1) self.blend_l.setRange(0.1, 100.0) self.blend_l.setValue(30.0) form1.addRow(label, self.blend_l) label = QtWidgets.QLabel(u'Upper blending polynomial exponent (-)') self.exponent_u = QtWidgets.QDoubleSpinBox() self.exponent_u.setSingleStep(0.1) self.exponent_u.setDecimals(1) self.exponent_u.setRange(1.0, 10.0) self.exponent_u.setValue(3.0) form1.addRow(label, self.exponent_u) label = QtWidgets.QLabel(u'Lower blending polynomial exponent (-)') self.exponent_l = QtWidgets.QDoubleSpinBox() self.exponent_l.setSingleStep(0.1) self.exponent_l.setDecimals(1) self.exponent_l.setRange(1.0, 10.0) self.exponent_l.setValue(3.0) form1.addRow(label, self.exponent_l) label = QtWidgets.QLabel(u'Trailing edge thickness relative to chord (%)') self.thickness = QtWidgets.QDoubleSpinBox() self.thickness.setSingleStep(0.05) self.thickness.setDecimals(2) self.thickness.setRange(0.0, 10.0) self.thickness.setValue(0.4) form1.addRow(label, self.thickness) self.trailingButton = QtWidgets.QPushButton('Add Trailing Edge') self.trailingButton.setEnabled(False) hbl1 = QtWidgets.QHBoxLayout() hbl1.addStretch(stretch=1) hbl1.addWidget(self.trailingButton, stretch=4) hbl1.addStretch(stretch=1) vbox = QtWidgets.QVBoxLayout() vbox.addLayout(form1) vbox.addLayout(hbl1) box1 = QtWidgets.QGroupBox('Airfoil trailing edge') box1.setLayout(vbox) # export menu name = '' hbox = QtWidgets.QHBoxLayout() self.exportContourButton = QtWidgets.QPushButton('Export Contour') self.exportContourButton.setEnabled(False) hbox.addWidget(self.exportContourButton) box2 = QtWidgets.QGroupBox('Export modified contour') box2.setLayout(hbox) vbl = QtWidgets.QVBoxLayout() vbl.addStretch(1) vbl.addWidget(box) vbl.addStretch(1) vbl.addWidget(box1) vbl.addStretch(1) vbl.addWidget(box2) vbl.addStretch(10) self.item_cm = QtWidgets.QWidget() self.item_cm.setLayout(vbl) self.splineButton.clicked.connect(self.spline_and_refine) self.trailingButton.clicked.connect(self.makeTrailingEdge) self.exportContourButton.clicked.connect(self.exportContour) def makeToolbox(self): # populate toolbox self.tb1 = self.addItem(self.item_fs, 'Airfoil Database') self.tb2 = self.addItem(self.item_cm, 'Contour Splining and Refinement') self.tb4 = self.addItem(self.item_msh, 'Meshing') self.tb6 = self.addItem(self.item_abc, 'CFD Boundary Conditions') self.tb5 = self.addItem(self.item_ap, 'Aerodynamics (Panel Code)') self.tb3 = self.addItem(self.item_ca, 'Contour Analysis') self.setItemToolTip(0, 'Airfoil database ' + '(browse filesystem)') self.setItemToolTip(1, 'Spline and refine the contour') self.setItemToolTip(2, 'Generate a 2D mesh around the ' + 'selected airfoil') self.setItemToolTip(3, 'Compute aerodynamic boundary conditions based' + ' on Reynolds number and thermodynamics') self.setItemToolTip(4, 'Compute panel based aerodynamic ' + 'coefficients') self.setItemToolTip(5, 'Analyze the curvature of the ' + 'selected airfoil') self.setItemIcon(0, QtGui.QIcon(os.path.join(ICONS_L, 'airfoil.png'))) self.setItemIcon(1, QtGui.QIcon(os.path.join(ICONS_L, 'Pixel editor.png'))) self.setItemIcon(2, QtGui.QIcon(os.path.join(ICONS_L, 'mesh.png'))) self.setItemIcon(3, QtGui.QIcon(os.path.join(ICONS_L, 'Fast delivery.png'))) self.setItemIcon(4, QtGui.QIcon(os.path.join(ICONS_L, 'Fast delivery.png'))) self.setItemIcon(5, QtGui.QIcon(os.path.join(ICONS_L, 'Pixel editor.png'))) # preselect airfoil database box self.setCurrentIndex(self.tb1) def smoother_btn_clicked(self): if self.btn_smoother_1.isChecked(): self.smoothing_algorithm = 'simple' self.smoother_iterations.setEnabled(False) self.smoother_tolerance.setEnabled(False) elif self.btn_smoother_2.isChecked(): self.smoothing_algorithm = 'elliptic' self.smoother_iterations.setEnabled(True) self.smoother_tolerance.setEnabled(True) elif self.btn_smoother_3.isChecked(): self.smoothing_algorithm = 'angle_based' self.smoother_iterations.setEnabled(True) self.smoother_tolerance.setEnabled(True) def toggleRawPoints(self): """Toggle points of raw airfoil contour (on/off)""" if hasattr(self.parent.airfoil, 'polygonMarkersGroup'): visible = self.parent.airfoil.polygonMarkersGroup.isVisible() self.parent.airfoil.polygonMarkersGroup.setVisible(not visible) def toggleRawContour(self): """Toggle contour polygon of raw airfoil contour (on/off)""" if hasattr(self.parent.airfoil, 'contourPolygon'): visible = self.parent.airfoil.contourPolygon.isVisible() self.parent.airfoil.contourPolygon.setVisible(not visible) def toggleSplinePoints(self): """Toggle points of raw airfoil contour (on/off)""" if hasattr(self.parent.airfoil, 'splineMarkersGroup'): visible = self.parent.airfoil.splineMarkersGroup.isVisible() self.parent.airfoil.splineMarkersGroup.setVisible(not visible) def toggleSpline(self): if hasattr(self.parent.airfoil, 'contourSpline'): visible = self.parent.airfoil.contourSpline.isVisible() self.parent.airfoil.contourSpline.setVisible(not visible) def toggleChord(self): """Toggle visibility of the airfoil chord""" if hasattr(self.parent.airfoil, 'chord'): visible = self.parent.airfoil.chord.isVisible() self.parent.airfoil.chord.setVisible(not visible) def toggleMesh(self): """Toggle visibility of the mesh lines""" if hasattr(self.parent.airfoil, 'mesh'): visible = self.parent.airfoil.mesh.isVisible() self.parent.airfoil.mesh.setVisible(not visible) def toggleLeCircle(self): """Toggle visibility of the leading edge circle""" if hasattr(self.parent.airfoil, 'le_circle'): visible = self.parent.airfoil.le_circle.isVisible() self.parent.airfoil.le_circle.setVisible(not visible) def toggleMeshBlocks(self): """Toggle visibility of the mesh blocking structure""" if hasattr(self.parent.airfoil, 'mesh_blocks'): visible = self.parent.airfoil.mesh_blocks.isVisible() self.parent.airfoil.mesh_blocks.setVisible(not visible) def toggleCamberLine(self): """Toggle visibility of the airfoil camber line""" if hasattr(self.parent.airfoil, 'camberline'): visible = self.parent.airfoil.camberline.isVisible() self.parent.airfoil.camberline.setVisible(not visible) def runPanelMethod(self): """Gui callback to run AeroPython panel method in module PSvpMethod""" if self.parent.airfoil: # get coordinates of airfoil (raw data or if available spline) if self.parent.airfoil.spline_data: x, y = self.parent.airfoil.spline_data[0] else: x, y = self.parent.airfoil.raw_coordinates u_inf = self.freestream.value() alpha = self.aoaAP.value() panels = self.panels.value() SvpMethod.runSVP(self.parent.airfoil.name, x, y, u_inf, alpha, panels) else: self.parent.slots.messageBox('No airfoil loaded.') return def spline_and_refine(self): """Spline and refine airfoil""" if self.parent.airfoil: self.parent.airfoil.has_TE = False refine = SplineRefine.SplineRefine() refine.doSplineRefine(tolerance=self.tolerance.value(), points=self.points.value(), ref_te=self.ref_te.value(), ref_te_n=self.ref_te_n.value(), ref_te_ratio=self.ref_te_ratio.value()) # add splined and refined contour to the airfoil contourGroup # makeSplineMarkers call within makeContourSpline self.parent.airfoil.makeContourSpline() # get LE radius, etc. spline_data = self.parent.airfoil.spline_data curvature_data = ca.ContourAnalysis.getCurvature(spline_data) rc, xc, yc, xle, yle, le_id = \ ca.ContourAnalysis.getLeRadius(spline_data, curvature_data) refine.makeLeCircle(rc, xc, yc, xle, yle) # calculate thickness and camber camber = refine.getCamberThickness(spline_data, le_id) # draw camber self.parent.airfoil.drawCamber(camber) logger.info('Leading edge radius: {:11.8f}'.format(rc)) logger.info('Leading edge circle tangent at point: {}'.format(le_id)) # enable trailing edge button self.trailingButton.setEnabled(True) # enable export button self.exportContourButton.setEnabled(True) else: self.parent.slots.messageBox('No airfoil loaded.') return def makeTrailingEdge(self): if self.parent.airfoil: self.parent.airfoil.has_TE = True if not hasattr(self.parent.airfoil, 'spline_data'): message = 'Splining needs to be done first.' self.parent.slots.messageBox(message) return trailing = TrailingEdge.TrailingEdge() trailing.trailingEdge(blend=self.blend_u.value() / 100.0, ex=self.exponent_u.value(), thickness=self.thickness.value(), side='upper') self.addTEtoScene() trailing.trailingEdge(blend=self.blend_l.value() / 100.0, ex=self.exponent_l.value(), thickness=self.thickness.value(), side='lower') self.addTEtoScene() else: self.parent.slots.messageBox('No airfoil loaded.') return def addTEtoScene(self): # add modified spline contour to the airfoil contourGroup # makeSplineMarkers call within makeContourSpline self.parent.airfoil.makeContourSpline() self.parent.airfoil.contourSpline.brush.setStyle(QtCore.Qt.SolidPattern) color = QtGui.QColor() color.setNamedColor('#7c8696') self.parent.airfoil.contourSpline.brush.setColor(color) # FIXME # FIXME check if redundant, because already set elsewhere # FIXME self.parent.airfoil.polygonMarkersGroup.setZValue(100) self.parent.airfoil.chord.setZValue(99) self.parent.airfoil.camberline.setZValue(99) self.parent.view.adjustMarkerSize() def generateMesh(self): self.wind_tunnel = Meshing.Windtunnel() self.wind_tunnel.makeMesh() def analyzeAirfoil(self): """Airfoil contour analysis with respect to geometric features""" if not self.parent.airfoil: self.parent.slots.messageBox('No airfoil loaded.') return # switch tab contour analysis self.parent.centralwidget.tabs.setCurrentIndex(1) # keep tab 'Contour Analysis' self.setCurrentIndex(self.tb3) # enable radio buttons for plotting when analysis starts self.cgb.setEnabled(True) # analyse contour self.parent.contourview.analyze() # connect signals to slots # lambda allows to send extra parameters self.cpb1.clicked.connect(lambda: self.parent.contourview .drawContour('gradient')) self.cpb2.clicked.connect(lambda: self.parent.contourview .drawContour('curvature')) self.cpb3.clicked.connect(lambda: self.parent.contourview .drawContour('radius')) def exportMesh(self): file_dialog = FileDialog.Dialog() file_dialog.setFilter('Mesh files (*.flma *.su2 *.msh *.inp *.cgns *.vtk)') filename, extension = os.path.splitext(self.parent.airfoil.name) filename, _ = file_dialog.saveFilename(filename) if not filename: logger.info('No file selected. Nothing saved.') return # clean extension again (because added by file_dialog return) filename, extension = os.path.splitext(filename) # add boundary definition attributes to mesh object self.wind_tunnel.boundary_airfoil = self.lineedit_airfoil.text() self.wind_tunnel.boundary_inlet = self.lineedit_inlet.text() self.wind_tunnel.boundary_outlet = self.lineedit_outlet.text() self.wind_tunnel.boundary_top = self.lineedit_top.text() self.wind_tunnel.boundary_bottom = self.lineedit_bottom.text() if self.check_FIRE.isChecked(): name = filename + '.flma' Meshing.BlockMesh.writeFLMA(self.wind_tunnel, name=name) if self.check_SU2.isChecked(): name = filename + '.su2' Meshing.BlockMesh.writeSU2_nolib(self.wind_tunnel, name=name) if self.check_GMSH.isChecked(): name = filename + '.msh' Meshing.BlockMesh.writeGMSH_nolib(self.wind_tunnel, name=name) if self.check_VTK.isChecked(): name = filename + '.vtu' Meshing.BlockMesh.writeVTK_nolib(self.wind_tunnel, name=name) def exportContour(self): file_dialog = FileDialog.Dialog() file_dialog.setFilter('Airfoil contour files (*.dat *.txt)') filename, _ = file_dialog.saveFilename(self.parent.airfoil.name) if not filename: logger.info('No file selected. Nothing saved.') return # get coordinates of modified contour x, y = self.parent.airfoil.spline_data[0] airfoil_name = self.parent.airfoil.name try: # export modified contour with open(filename, 'w') as f: f.write('#\n') f.write('# File created with ' + PyAero.__appname__ + '\n') f.write('# Version: ' + PyAero.__version__ + '\n') f.write('# Author: ' + PyAero.__author__ + '\n') f.write('#\n') f.write('# Derived from: %s\n' % (str(airfoil_name).strip())) f.write('# Number of points: %s\n' % (len(x))) f.write('#\n') for i, _ in enumerate(x): f.write('{:10.6f} {:10.6f}\n'.format(x[i], y[i])) except IOError as error: logger.info('IO error: {}'.format(error)) # log to message window logger.info('Contour saved as {}'.format(filename)) class ListWidget(QtWidgets.QListWidget): """Subclassing QListWidget in order to be able to catch key press events """ def __init__(self, parent): super().__init__() self.parent = parent self.itemClicked.connect(self.listItemClicked) self.itemDoubleClicked.connect(self.listItemDoubleClicked) # get MainWindow instance (overcomes handling parents) self.mainwindow = QtCore.QCoreApplication.instance().mainwindow def keyPressEvent(self, event): key = event.key() if key == QtCore.Qt.Key_Delete: item = self.selectedItems()[0] row = self.row(item) self.takeItem(row) for airfoil in self.parent.airfoils: if item.text() == airfoil.name: name = airfoil.name self.parent.slots.removeAirfoil(name=name) break # call original implementation of QListWidget keyPressEvent handler super().keyPressEvent(event) def listItemClicked(self, item): """show information of airfoil in message window""" pass def listItemDoubleClicked(self, item): """make double clicked name in listwidget new active airfoil""" for airfoil in self.parent.airfoils: if airfoil.name == item.text(): # first clear all items from the scene self.parent.scene.clear() # activate double clicked airfoil airfoil.makeAirfoil() # add all airfoil items (contour markers) to the scene airfoil.addToScene(self.parent.scene) # make double clicked airfoil the currently active airfoil self.parent.airfoil = airfoil # adjust the marker size again self.mainwindow.view.adjustMarkerSize() break ================================================ FILE: src/TrailingEdge.py ================================================ import copy import numpy as np from PySide6 import QtGui, QtCore from Utils import Utils import ContourAnalysis as ca class TrailingEdge: def __init__(self): # get MainWindow instance (overcomes handling parents) self.mainwindow = QtCore.QCoreApplication.instance().mainwindow def getUpperLower(self): """Split contour in upper and lower parts Returns: TYPE: Coordinates of upper and lower contours """ # leading edge radius # get LE radius, etc. spline_data = self.mainwindow.airfoil.spline_data curvature_data = ca.ContourAnalysis.getCurvature(spline_data) rc, xc, yc, xle, yle, le_id = ca.ContourAnalysis.getLeRadius(spline_data, curvature_data) x, y = spline_data[0] upper = (x[:le_id + 1], y[:le_id + 1]) lower = (x[le_id:], y[le_id:]) return upper, lower def trailingEdge(self, blend=0.3, ex=3.0, thickness=0.6, side='both'): """Implement a finite trailing edge thickness into the original contour (i.e. a blunt trailing edge) Args: blend (float, optional): Length to blend the TE ex (float, optional): Exponent that modifies the blending curve thickness (float, optional): TE thickness side (str, optional): Defines if blending is done on upper, lower or both sides Returns: tuple: Updated spline coordinates """ upper, lower = self.getUpperLower() xu = copy.copy(upper[0]) yu = copy.copy(upper[1]) xl = copy.copy(lower[0]) yl = copy.copy(lower[1]) xnu = copy.copy(xu) ynu = copy.copy(yu) xnl = copy.copy(xl) ynl = copy.copy(yl) if side == 'upper' or side == 'both': xnu, ynu = self.trailing(xu, yu, blend, ex, thickness, side='upper') if side == 'lower' or side == 'both': xnl, ynl = self.trailing(xl, yl, blend, ex, thickness, side='lower') xt = np.concatenate([xnu, xnl[1:]]) yt = np.concatenate([ynu, ynl[1:]]) self.mainwindow.airfoil.spline_data[0] = (xt, yt) def trailing(self, xx, yy, blend, ex, thickness, side='upper'): xmin = np.min(xx) xmax = np.max(xx) chord = xmax - xmin thickness = chord * thickness / 100.0 blend_points = np.where(xx > (1.0 - blend) * xmax) x = copy.copy(xx) y = copy.copy(yy) if side == 'upper': signum = 1.0 a = np.array([x[1] - x[0], y[1] - y[0]]) elif side == 'lower': signum = -1.0 a = np.array([x[-2] - x[-1], y[-2] - y[-1]]) e = Utils.unit_vector(a) n = np.array([e[1], -e[0]]) shift = 0.5 * thickness for i in blend_points: shift_blend = (x[i] - xmax * (1.0 - blend)) / \ (xmax * blend) x[i] = x[i] + signum * n[0] * shift_blend**ex * shift y[i] = y[i] + signum * n[1] * shift_blend**ex * shift return x, y def writeContour(self): xr = self.raw_coordinates[0] xc = self.coordinates[0] yc = self.coordinates[1] s = '# Trailing edge added to initial contour'.format(len(xc)) s1 = '({0} points)\n'.format(len(xr)) info = s + s1 with open(self.name + '_TE' + '.dat', 'w') as f: f.write('#\n') f.write('# Airfoil: ' + self.name + '\n') f.write('# Created from ' + self.filename + '\n') f.write(info) f.write('#\n') for i in range(len(xc)): data = '{:10.8f} {:10.8f} \n'.format(xc[i], yc[i]) f.write(data) ================================================ FILE: src/Utils.py ================================================ # -*- coding: utf-8 -*- import numpy as np class Transformations: """Collection of static methods for geometric transformations Dependencies: numpy (np) NOTE: Homogenous coordinates are used, i.e. 4-th dimension is 1: P(x/y/z/1) This is necessary so that also translation can be handled using matrix operations Several geometric operations can be combined into one transformation matrix by multiplying all individual transformations. Multiplication via numpy.dot() --> A*B: A.dot(B) Order is from right (1st transformation) to left (last transformation) Example: Rotate (R) then translate (T1) then scale (S) then mirror (M) then translate (T2) Setup individual transformation matrices >>> R = rotate3D(...) >>> T1 = translate3D(...) >>> S = scale3D(...) >>> M = mirror3D(...) >>> T2 = translate3D(...) Compile combined transformation matrix >>> MATRIX = T2.dot(M.dot(S.dot(T1.dot(R)))) Apply combined transformation to points(s) >>> P = (1., 2., 6., 1.) >>> P_new = MATRIX.dot(P) """ @staticmethod def rotate3D(axis='x', phi=0.0, degree=True): """Calculate 3D transformation matrix for rotation around one of the coordinate system axis Args: axis (str, optional): Rotation axis phi (float, optional): Rotation angle degree (bool, optional): Specifies if input is in degree or radians EXAMPLE: Rotate point P around x-axis by 90° to get P_rot >>> P = (1., 2., 6., 1.) >>> rotmat = rotate3D(axis='x', phi=90.0) >>> P_rot = rotmat.dot(P) """ if degree: phi = phi / 180.0 * np.pi if axis == 'x': # 3D rotation x-axis ROT = np.array([[1.0, 0.0, 0.0, 0.0], [0.0, np.cos(phi), -np.sin(phi), 0.0], [0.0, np.sin(phi), np.cos(phi), 0.0], [0.0, 0.0, 0.0, 1.0]]) elif axis == 'y': # 3D rotation y-axis ROT = np.array([[np.cos(phi), 0.0, np.sin(phi), 0.0], [0.0, 1.0, 0.0, 0.0], [-np.sin(phi), 0.0, np.cos(phi), 0.0], [0.0, 0.0, 0.0, 1.0]]) elif axis == 'z': # 3D rotation z-axis ROT = np.array([[np.cos(phi), -np.sin(phi), 0.0, 0.0], [np.sin(phi), np.cos(phi), 0.0, 0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]]) return ROT @staticmethod def translate3D(vector): """Calculate 3D transformation matrix for translation along a given vector Args: vector (tuple): x, y, z coordinates of translation vector EXAMPLE: Translate point P along vector to get P_trans >>> P = (1., 2., 6., 1.) >>> vector = (10., 0., 0., 1.) >>> transmat = translate3D(vector) >>> P_trans = transmat.dot(P) """ TRANS = np.array([[1.0, 0.0, 0.0, vector[0]], [0.0, 1.0, 0.0, vector[1]], [0.0, 0.0, 1.0, vector[2]], [0.0, 0.0, 0.0, 1.0]]) return TRANS @staticmethod def scale3D(scale): """Calculate 3D transformation matrix for scaling Args: scale (tuple): Scaling factors for each axis EXAMPLE: Scale point P by sx, sy, sz to get P_scale >>> P = (1., 2., 6., 1.) >>> scale = (2., 2., 2.) >>> scalemat = scale3D(scale) >>> P_scale = scalemat.dot(P) """ SCALE = np.array([[scale[0], 0.0, 0.0, 0.0], [0.0, scale[1], 0.0, 0.0], [0.0, 0.0, scale[2], 0.0], [0.0, 0.0, 0.0, 1.0]]) return SCALE @staticmethod def mirror3D(plane='xy'): """Calculate 3D transformation matrix for mirroring wrt to xy, xz, yz planes EXAMPLE: Mirror point P wrt xy-plane to get P_mirror >>> P = (1., 2., 6., 1.) >>> mirmat = mirror3D(plane='xy') >>> P_rot = mirmat.dot(P) """ if plane == 'xy': # 3D mirroring wrt xy-plane MIRROR = np.array([[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, -1.0, 0.0], [0.0, 0.0, 0.0, 1.0]]) elif plane == 'xz': # 3D mirroring wrt xz-plane MIRROR = np.array([[1.0, 0.0, 0.0, 0.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]]) elif plane == 'yz': # 3D mirroring wrt yz-plane MIRROR = np.array([[-1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]]) return MIRROR class Utils: """Collection of utility functions (static methods). """ def __init__(self): pass @staticmethod def vector(p1, p2): """Returns a vector made of two points Args: p1 (tuple, list or np.array): Point, e.g. (1, 2) or [7., 4.3] p2 (tuple, list or np.array): Point, e.g. (1, 2) or [7., 4.3] Returns: np.array: vector in numpy format """ p1 = np.array(p1) p2 = np.array(p2) return p2 - p1 @staticmethod def vector_length(vector): """ Returns the length of the vector. """ return np.linalg.norm(vector) @staticmethod def unit_vector(vector): """ Returns the unit vector of the vector. """ return vector / np.linalg.norm(vector) @staticmethod def angle_between(a, b, degree=False): """Returns the angle between vectors 'a' and 'b' """ a = np.array(a) b = np.array(b) a_u = Utils.unit_vector(a) b_u = Utils.unit_vector(b) angle = np.arccos(np.clip(np.dot(a_u, b_u), -1.0, 1.0)) if degree: angle *= 180.0 / np.pi return angle @staticmethod def scalar_to_rgb(value, vmin, vmax, range='1'): """Convert scalar value to RGB color Args: value (float): scalar value vmin (float): minimum value vmax (float): maximum value range (str): color range (1 or 256) Returns: tuple: RGB color """ v = np.clip(value, vmin, vmax) dv = vmax - vmin c = [1., 1., 1.] if v < (vmin + 0.25 * dv): c[0] = 0 c[1] = 4 * (v - vmin) / dv elif v < (vmin + 0.5 * dv): c[0] = 0; c[2] = 1 + 4 * (vmin + 0.25 * dv - v) / dv; elif v < (vmin + 0.75 * dv): c[0] = 4 * (v - vmin - 0.5 * dv) / dv; c[2] = 0; else: c[1] = 1 + 4 * (vmin + 0.75 * dv - v) / dv; c[2] = 0; r, g, b = np.clip(c[0], 0., 1.), np.clip(c[1], 0., 1.), np.clip(c[2], 0., 1.) if range == '256': r *= 255 g *= 255 b *= 255 return r, g, b