[ { "path": ".gitignore", "content": "# ----------------------------------------------------------------------\n# Java - default GitHub .gitignore\n# ----------------------------------------------------------------------\n*.class\n\n# Mobile Tools for Java (J2ME)\n.mtj.tmp/\n\n# Package Files #\n*.jar\n*.war\n*.ear\n\n# ----------------------------------------------------------------------\n# Python - default GitHub .gitignore\n# ----------------------------------------------------------------------\n# Byte-compiled / optimized / DLL files\n__pycache__/\n*.py[cod]\n\n# C extensions\n*.so\n\n# Distribution / packaging\nbin/\nbuild/\ndevelop-eggs/\ndist/\neggs/\nlib/\nlib64/\nparts/\nsdist/\nvar/\n*.egg-info/\n.installed.cfg\n*.egg\n\n# Installer logs\npip-log.txt\npip-delete-this-directory.txt\n\n# Unit test / coverage reports\n.tox/\n.coverage\n.cache\nnosetests.xml\ncoverage.xml\n\n# Translations\n*.mo\n\n# Mr Developer\n.mr.developer.cfg\n.project\n.pydevproject\n\n# Rope\n.ropeproject\n\n# Django stuff:\n*.log\n*.pot\n\n# Sphinx documentation\ndocs/_build/\n\n# vi swap files\n*.swp\n" }, { "path": "LICENSE.md", "content": "\"Creative
Programming Interview Practice Problems by Coding for Interviews contributors is licensed under a Creative Commons Attribution 4.0 International License.
Based on a work at https://github.com/codingforinterviews/practice-problems.\n" }, { "path": "README.md", "content": "# The Practice Problem Compendium\n\nTired of Googling around for programming interview practice problems? This is a project to build high-quality practice problems suggested for preparing for programming interviews.\n\n## Suggested Practice Questions\n\n1. [Array Rotation](array_rotate): take a given array and rotate it `n` slots *(10-20 minutes)*\n2. [Coin Change](coin_change): how many different ways can you make change given an amount and list of coins?\n3. [Tree Zig Zag](tree_zig_zag): alternate between the left-most and right-most nodes in a BST.\n\n## How should you approach these problems?\n\n1. **Code in a realistic fashion**. If you're doing a whiteboard interview, practice with a whiteboard. If you don't have a whiteboard, writing your solution on paper can be a good substitute. Phone interview? Try using the online code pad they will have you use.\n2. Always compile your code after writing it. You'll often find bugs in your solution. Think—how might you catch this problem in the future?\n\n## What makes a good practice problem?\n\n1. Representative of many problems\n2. Has shown up (or could reasonably show up) in real interviews\n3. Takes *less than an hour*\n4. Not language-specific\n5. Two kinds of problems:\n more involved complex ones (company challenges)—good for overall practice\n more specific targeted problems—better for checking understanding\n6. Not breaking any confidentiality agreements\n\n*Interested in getting even more involved?* Feel free to submit problems and solutions as pull requests. Email brian@codingforinterviews.com to get more involved with the group and join our planning Trello board.\n" }, { "path": "array_rotate/README.md", "content": "# Array Rotation\n\nThis problem is to rotate a given array to the right by `n` steps.\n\nFor example:\n\nGiven `[1, 2, 3]` and `n = 1`, you should return `[3, 1, 2]`\n\nEach step, the last element in the array is moved to the front of the array, and the rest are shifted right.\n\nAnother example:\n\nGiven `[1, 2, 3, 4, 5]` and `n = 3`, you should return `[3, 4, 5, 1, 2]`\n\n## Questions for further understanding\n\n1. What is the time complexity of your solution? How about space?\n2. Can you do this in-place?\n\n*Challenge:* There is an O(n) time / O(1) extra space solution.\n" }, { "path": "array_rotate/solutions/README.md", "content": "# Further Resources\n\n* [LeetCode](http://leetcode.com/2010/04/rotating-array-in-place.html) explanations\n* [GeeksForGeeks](http://www.geeksforgeeks.org/array-rotation/) solution approach explanations" }, { "path": "array_rotate/solutions/keppy.rb", "content": "class StringAutoma\n\n def self.solve(set, n)\n # set is an array, n is an integer.\n n.times do\n set.unshift(set.pop())\n end\n return set\n end\n\nend\n" }, { "path": "array_rotate/solutions/keppy_test.rb", "content": "require 'minitest/autorun'\n\nrequire_relative './keppy.rb'\n\nclass StringAutomaTest < MiniTest::Unit::TestCase\n def test_one_step\n set = [1, 2, 3, 4, 5, 6]\n expected = [6, 1, 2, 3, 4, 5]\n n = 1\n assert_equal(expected, StringAutoma.solve(set,n))\n end\n\n def test_odd_split\n set = [1, 2, 3, 4, 5, 6, 1, 2, 3]\n expected = [1, 2, 3, 1, 2, 3, 4, 5, 6]\n n = 3\n assert_equal(expected, StringAutoma.solve(set,n))\n end\n\n def test_over_step\n set = [1, 2, 3]\n expected = [3, 1, 2]\n n = 4\n assert_equal(expected, StringAutoma.solve(set,n))\n end\nend\n" }, { "path": "array_rotate/solutions/rotate-solution.rb", "content": "def rotate_jump(array, n)\n return array if n == 0 || array.length == 0\n\n result = []\n\n (0...array.length).each do |i|\n result[(i + n % array.length) % array.length] = array[i]\n end\n\n result\nend\n\ndef rotate_step(array, n)\n return array if n == 0 || array.length == 0\n\n n.times do\n array = array[0...array.length - 1].unshift(array[-1])\n end\n\n array\nend\n\nrequire 'test/unit'\nclass RotateTest < Test::Unit::TestCase\n\n def test_step()\n rotate_check_helper(method(:rotate_step))\n end\n\n def test_jump()\n rotate_check_helper(method(:rotate_jump))\n end\n\n def rotate_check_helper(m)\n assert_equal([], m.call([],1))\n assert_equal([1], m.call([1],1))\n assert_equal([2, 1], m.call([1, 2],1))\n assert_equal([1,2,3], m.call([1, 2, 3],3))\n assert_equal([3, 4, 5, 6, 7, 8, 9, 10, 1, 2], m.call([1,2,3,4,5,6,7,8,9,10],8))\n assert_equal([9,10,1,2,3,4,5,6,7,8], m.call([1,2,3,4,5,6,7,8,9,10],2))\n end\nend\n" }, { "path": "balanced_delimiter/HINTS.md", "content": "## Things to think about\n- How will you keep track of previous delimiters?\n- How will you determine if the next character is valid?\n- When you reach the end of the string, how do you know if it is balanced?\n" }, { "path": "balanced_delimiter/README.md", "content": "For this question, you will parse a string to determine if it contains only\n\"balanced delimiters.\"\n\nA balanced delimiter starts with an opening character (`(`, `[`, `{`), ends\nwith a matching closing character (`)`, `]`, `}` respectively), and has only\nother matching delimiters in between. A balanced delimiter may contain any\nnumber of balanced delimiters.\n\n## Examples\nThe following are examples of balanced delimiter strings:\n\n```\n()[]{}\n([{}])\n([]{})\n```\n\nThe following are examples of invalid strings:\n\n```\n([)]\n([]\n[])\n([})\n```\n\nInput is provided as a single string. Your output should be `True` or `False`\naccording to whether the string is balanced. For example:\n\nInput:\n```\n([{}])\n```\nOutput:\n```\nTrue\n```\n\n## Input Format and Restrictions\nEach test case will consist of a string only containing the characters\n`()[]{}`. The length of the string will not exceed 2KB.\n" }, { "path": "balanced_delimiter/SOLUTION.md", "content": "# Balanced Delimiters\n\n## Explanation\n\nThis exercise is designed as a use case for a stack structure. The idea is that\ncharacters are processed individually; opening characters go on the stack, and\nclosing characters check the stack for a match. If we encounter a closing\ncharacter that does not match the top of our stack, encounter a closing\ncharacter with an empty stack, or have a non-empty stack at the end of the\nstring, the string is unbalanced.\n\nHere it is in pseudo-code:\n for each character in string:\n if opener:\n\t push on stack\n\telse:\n\t previous = pop stack OR False\n\t if not (character closes previous):\n\t False\n if stack empty:\n True\n else:\n False\n\nStacks are ideal for this problem, as their FILO (First In, Last Out) behavior\ncorresponds to the fact that we must match the innermost delimiter first *but*\nwe must also remember each layer of delimiters in order. In addition, checking\nwhether the stack is empty allows us to easily handle cases where we have too\nmany opening or closing delimiters.\n" }, { "path": "balanced_delimiter/generator/gen_testcase.rb", "content": "@delims = { '[' => ']', '{' => '}', '(' => ')' }\n\n# Convenience function for picking a random value out of a hash.\ndef hashrand(h)\n\th[h.keys.shuffle[0]]\nend\n\n# This generates a valid delimiter string using a Markov chain-like process.\ndef generate_pairs(max_pairs)\n\tpairs = 0\n\topens = Array.new\n\tresult = String.new\n\n\twhile pairs < max_pairs\n\t\tif rand() < 0.7 || opens.empty?\n\t\t\topens.push(hashrand(@delims.invert))\n\t\t\tresult += opens.last\n\t\t\tpairs += 1\n\t\telse\n\t\t\tresult += @delims[opens.pop]\n\t\tend\n\tend\n\t\n\t# Close any open delimiters\n\twhile closer = @delims[opens.pop]\n\t\tresult += closer\n\tend\n\n\treturn result\nend\n\n# This randomly invalidates a delimiter string by introducing one of the\n# following errors at a random position:\n# \t- Delete a delimiter\n# \t- Add a delimiter\n# \t- Change a delimiter to a different character\n#\n# Alternatively, it will delete the last delimiter, so that the otherwise\n# unlikely failure state of an unclosed delimiter at the end of the string will\n# occur with reasonable frequency.\ndef make_invalid(str)\n\terr = rand()\n\tindex = rand(str.length - 2)\n\n\tif err < 0.25\n\t\t# \"Delete\"\n\t\treturn str[0..index] + str[(index + 2)..(str.length - 1)]\n\telsif err < 0.50\n\t\t# \"Add\"\n\t\tnewchar = (@delims.flatten - [str[index]]).shuffle[0]\n\t\treturn str[0..index] + newchar + str[(index + 1)..(str.length - 1)]\n\telsif err < 0.75\n\t\t# \"Unclosed\"\n\t\treturn str[0..(str.length - 2)]\n\telse\n\t\t# \"Change\"\n\t\tnewchar = (@delims.flatten - [str[index]]).shuffle[0]\n\t\treturn str[0..index] + newchar + str[(index + 2)..(str.length - 1)]\n\tend\nend\n\n# These are my selected inputs for the problem; they are ordered by increasing\n# difficulty of n. For each of these, one valid and one invalid string will be\n# created for that number of pairs.\nselected = [3, 5, 10, 100, 1000, 10000]\n\n@fcount = -1\nselected.each_index { |i|\n\tfmode = File::WRONLY | File::CREAT\n\tpath = \"../tests/\"\n\n\t@fcount += 1\n\tinput = File.new(\"#{path}input#{sprintf(\"%02d\", @fcount)}.txt\", fmode)\n\toutput = File.new(\"#{path}output#{sprintf(\"%02d\", @fcount)}.txt\", fmode)\n\n\tinput_str = generate_pairs(selected[i])\n\tinput.write(input_str)\n\toutput.write(\"True\")\n\n\t@fcount += 1\n\tinput = File.new(\"#{path}input#{sprintf(\"%02d\", @fcount)}.txt\", fmode)\n\toutput = File.new(\"#{path}output#{sprintf(\"%02d\", @fcount)}.txt\", fmode)\n\tinput.write(make_invalid(input_str))\n\toutput.write(\"False\")\n}\n" }, { "path": "balanced_delimiter/solutions/balanced_delimiter.c", "content": "#include \n#include \n\n/* Stack definitions. We'll use char for all our values as it's convenient for\n the question. */\nstruct Stack {\n\tstruct StackFrame *top;\n\tunsigned int size;\n};\ntypedef struct Stack Stack_t;\n\nstruct StackFrame {\n\tstruct StackFrame *prev;\n\tchar val;\n};\ntypedef struct StackFrame Frame_t;\n\n/* Stack methods. */\nvoid push(Stack_t *s, char v) {\n\tFrame_t *prev_top;\n\n\tprev_top = s->top;\n\ts->top = (Frame_t*) malloc(sizeof(Frame_t));\n\ts->top->prev = prev_top;\n\ts->top->val = v;\n\ts->size++;\n}\n\nchar pop(Stack_t *s) {\n\tchar v;\n\tFrame_t *p;\n\n\tv = s->top->val;\n\tp = s->top->prev;\n\tfree(s->top);\n\ts->top = p;\n\ts->size--;\n\treturn v;\n}\n\n/* Some convenience functions for checking that delimiters are of the correct\n type for eachother. */\nint matches(char opener, char closer) {\n\tswitch(opener) {\n\t\tcase '(':\n\t\t\tif (closer == ')') return 1;\n\t\tcase '[':\n\t\t\tif (closer == ']') return 1;\n\t\tcase '{':\n\t\t\tif (closer == '}') return 1;\n\t\tdefault:\n\t\t\treturn 0;\n\t}\n}\n\nint opener(char c) {\n\tswitch(c) {\n\t\tcase '(':\n\t\tcase '[':\n\t\tcase '{':\n\t\t\treturn 1;\n\t\tdefault:\n\t\t\treturn 0;\n\t}\n}\n\nint main() {\n\tStack_t *s = (Stack_t*) malloc(sizeof(Stack_t));\n\tchar delim;\n\n\t/* Scan characters until we get to the end of the input. */\n\twhile(scanf(\"%c\", &delim) > 0) {\n\t\tif(opener(delim)) {\n\t\t\tpush(s, delim);\n\t\t} else {\n\t\t\tif(!matches(pop(s), delim)) {\n\t\t\t\t/* There was an overlapping/wrong delimiter. */\n\t\t\t\tprintf(\"False\");\n\t\t\t\treturn 0;\n\t\t\t}\n\t\t}\n\t}\n\t\n\tif(s->size) {\n\t\t/* If our stack isn't empty, there were unclosed delimiters. */\n\t\tprintf(\"False\");\n\t} else {\n\t\tprintf(\"True\");\n\t}\n\n\treturn 0;\n}\n" }, { "path": "balanced_delimiter/solutions/balanced_delimiter.js", "content": "var closersToOpeners = {\n ']': '[',\n ')': '(',\n '}': '{'\n};\n\nfunction isCloser(character) {\n return closersToOpeners.hasOwnProperty(character);\n}\n\nfunction isOpener(character) {\n for (var key in closersToOpeners) {\n if (closersToOpeners.hasOwnProperty(key) && closersToOpeners[key] === character) {\n return true;\n }\n }\n\n return false;\n}\n\nfunction isBalanced(delimiterString) {\n var openerStack = [];\n\n for (var i = 0; i < delimiterString.length; i++) {\n var currentChar = delimiterString[i];\n\n if (isOpener(currentChar)) {\n openerStack.push(currentChar);\n } else if (isCloser(currentChar)) {\n var expectedOpener = openerStack.pop();\n if (closersToOpeners[currentChar] !== expectedOpener) {\n return false;\n }\n } else {\n throw \"Non-delimiter character in input\";\n }\n }\n\n return openerStack.length === 0;\n}\n\nconsole.log(isBalanced(\"{}()[]\"));\nconsole.log(isBalanced(\"([)]\"));\nconsole.log(isBalanced(\"([omg)]\")); // exception\n" }, { "path": "balanced_delimiter/tests/input00.txt", "content": "([()])" }, { "path": "balanced_delimiter/tests/input01.txt", "content": "([()]" }, { "path": "balanced_delimiter/tests/input02.txt", "content": "{[{{[]}}]}" }, { "path": "balanced_delimiter/tests/input03.txt", "content": "{[{{[](}}]}" }, { "path": "balanced_delimiter/tests/input04.txt", "content": "{(({{[{{{}[]}}]}}))}" }, { "path": "balanced_delimiter/tests/input05.txt", "content": "{(({{[{{{}]}}]}}))}" }, { "path": "balanced_delimiter/tests/input06.txt", "content": "({{({}{{{[([[]]{})]}()}({[{([()])}()]({{[([]){{}([]{{}}{}([[]]){{{}[{}[{([][][[]([()(()({([([]{}(())())(({()(((([()[]]())()([[{(({{(){[[[{(([{[()[[]]]}]))}]]]}}}))}]]))))}))])}))])])}]]}})}]}})})})}})" }, { "path": "balanced_delimiter/tests/input07.txt", "content": "({{({}{{{[([[]]{})]}()}({[{([()])}()]({{[([]){{}([]{{}}{}([[]]){{{}[{}[{([][][[]([()(()({([([]{}(())())(({()((([()[]]())()([[{(({{(){[[[{(([{[()[[]]]}]))}]]]}}}))}]]))))}))])}))])])}]]}})}]}})})})}})" }, { "path": "balanced_delimiter/tests/input08.txt", "content": "([{[[]()[{(){}}{{[{(([][[]{{({}({}[[{[[][]{}]({}[[{[]{{}{}[([])[((([((([([()(){({}((){})[[][(([[([][[[([[{{()}}[()[]](()){}]]{[[]{(({{(()()[()(){([{}])()[[((([](())({[]{[{}(())[{[{{()[[{{}}]]()[((){()}[]{{(){{}([([{{{}}({([])})}])[{([])}{}{}[[]]{[{}{}()(([]({(({}{{{{({})}[]}({{{()(){[({[][([{[(((({[{}(([][[[()[]]({{{{[{[(([[{({[{{}[][{({()[{}[]][{}[]{}({()})][{[{{()[[(([[[{{[]{([{(())[{{()}[](({(((({{}}[{{()[{({{}({[(([[{}{}]()][{}[[{[]}([[]{([([({})(({{[{([{}(){}{({}{{{{[]}[{({()})(([]{[{[](())([([[(){([{}(([]{[][{[[([[{()[({[{{}}[{([([[[[]{{()}({[{{({{}{[()][[({()()})([[]]{{{[[{[[][(()([[]{}{{}{[]}{}()}]{{[{[(()[])(([])[[]{{}}[(){[{{[[][{[][([{[][((){{}[]}[[{{}()()[{{{}[]((){()}(()[{(((([([[()()]([[({{}}([[][](((([]()[])))[[{{{{[[](({((({([]{{(([({{}((({[][]{(({[[([{}[{}]{{[()((){}([[([{{({})}{[][]}({}()[[]()[([(([]([{}[[]][]{{{([{}{([][[]])(([({}[()[[[{}{[[{}]]()}{{}({})[[]]([][]{[{()([{{}({({(()({}){{([([[[][(){[[{[{{}([()](){}([[{([()]()[[[{{[]({(([](([]))))[]{([{}{[[{[[({((([{{[][][]}[{}[([]){()}[{}()({{({}[[[[[]((){{([{}([[({}){}(({{()}[](){{()(()([]{{((()([([]){{[]}}{[{{[({[]}{{{{[{([][]{}[()]){[{}({{}})]{{{}{{((){{}{(()()[(({{{}[[]{}([([()]{}{(){}({{{(([(){{}{}[([([][([]({{(({[]}))([][[((())[[]{[{{{([(({{(())}}()))[[[]{{[[()[]{}[[()((((()[[][()({([([])[{[](({[][(({[[]{([(){{(({}{(){([{[([{}([{}{({([[[({{{{}()}}[[[{{{[({{{{}{{[[()][{{[{[[][[][]{({{()({}[[([[[[(([]))]]]])]])}})}]]}]}}]]}}}}})]}}}]]]})]]])})}])])]}])}}))}}])}]}))]}))}]])})]]))))]]]]}}]]])}}}]}])]])}}))])])]}]))}}})})])]}}))])}})}}}}}}]}}}})]}}]}])))}}))}}}))]])])}})]]]])}})]]]}])))})]]}]]}])}})}}]]])}]]))}]}]]}]]])])}})})})}])}]})}]]]])]))}])}}}])))])]])}])]]))]}}])]]}))}})))})]))}})})))}))]}}}}]])]))]])])]))))}]))}}]}]])]}])]}]]}}]}]])]}]}}))]]}]]}}})]]}})}}]})}]]])])}]]})]}]])]]}]}))])}]])])}]}))}]}}})}])}]}}))])])}])]]]))]})})}]}}]))))}))}]}])}}}]]]))]]}}]}]})}]}]})}]]))]}]}}}})]]))]}))))]}])]})]}}}})}}))})))]}]])}}})]}}]}]]}}))))]]}])}}))}]})]]])]]))]])}])])))])))]]}}]])}]]))}}]))}]}}]]}])" }, { "path": "balanced_delimiter/tests/input09.txt", "content": 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})" }, { "path": "balanced_delimiter/tests/output00.txt", "content": "True" }, { "path": "balanced_delimiter/tests/output01.txt", "content": "False" }, { "path": "balanced_delimiter/tests/output02.txt", "content": "True" }, { "path": "balanced_delimiter/tests/output03.txt", "content": "False" }, { "path": "balanced_delimiter/tests/output04.txt", "content": "True" }, { "path": "balanced_delimiter/tests/output05.txt", "content": "False" }, { "path": "balanced_delimiter/tests/output06.txt", "content": "True" }, { "path": "balanced_delimiter/tests/output07.txt", "content": "False" }, { "path": "balanced_delimiter/tests/output08.txt", "content": "True" }, { "path": "balanced_delimiter/tests/output09.txt", "content": "False" }, { "path": "balanced_delimiter/tests/output10.txt", "content": "True" }, { "path": "balanced_delimiter/tests/output11.txt", "content": "False" }, { "path": "bst_count/README.md", "content": "Given a binary search tree root, count the total number of nodes in the tree.\n" }, { "path": "bst_count/solutions/solution.js", "content": "function BSTNode(value) {\n this.value = value;\n this.left = null;\n this.right = null;\n}\n\nfunction countNodes(root) {\n if (!root) {\n return 0;\n }\n return countNodes(root.left) + 1 + countNodes(root.right);\n}\n" }, { "path": "bst_height/README.md", "content": "Given a binary search tree, return its height—that is, the maximum depth reached by the tree.\n\nExample: given a BST with a single node, your function would return `0`.\n\nGiven a linear BST with only right side nodes `0 -> 1 -> 2 -> (null)`, where `2` is the tail, your function would return a max height of `2`.\n\nHint: BSTs are a recursively defined data structure.\n\nHint #2: which tree traversal method covered in the traversal lecture might come in handy here?\n" }, { "path": "bst_height/solutions/.gitkeep", "content": "" }, { "path": "coin_change/README.md", "content": "How many different ways can you make change for an amount, given a list of coins?\nIn this problem, *your code* will need to efficiently compute the answer.\n\n# Problem Statement\n\nWrite a program that, given two arguments to STDIN \n\n* a list of coins `c1, c2, c3, ..` \n* and an amount `n`\n\nPrints out how many different ways you can make change from the coins to STDOUT.\n\n**The problem can be formally stated:** \n\nGiven a value `N`, if we want to make change for `N` cents, and we have infinite supply of each of `C = { C1, C2, .. , Cm}` valued coins, how many ways can we make the change? The order of coins doesn’t matter.\n\n**Example 1:**\n\nFor `N = 4` and `C = {1,2,3}` there are four solutions: `{1,1,1,1},{1,1,2},{2,2},{1,3}` \n\nSo given the input\n\n```\n1, 2, 3\n4\n```\n\nyour program should output:\n\n```\n4\n```\n\n**Example 2:**\n\nFor `N = 10` and `C = {2, 5, 3, 6}` there are five solutions: `{2,2,2,2,2}, {2,2,3,3}, {2,2,6}, {2,3,5} and {5,5}`\n\nSo given the input\n\n```\n2, 5, 3, 6\n10\n```\n\nyour program should output:\n\n```\n5\n```\n\n# Solving the overlapping subproblems using dynamic programming\n\nYou can solve this problem recursively, but all the test will not passs unless \nyou optimise your solution to eliminate the [overlapping subproblems](http://en.wikipedia.org/wiki/Overlapping_subproblem) using a [dynamic programming solution](http://en.wikipedia.org/wiki/Dynamic_programming)\n\nOr more specifically; \n\n* If you can think of a way to store the checked solutions, then this store can be used to avoid checking the same solution again and again.\n\n# Hints\n\n* Think about the degenerate cases:\n - How many ways can you give change for 0 cents? \n - How many ways can you give change for >0 cents, if you have no coins?\n\n\n* If you are having trouble defining your solutions store, then think about it in terms of the base case `(n = 0)`\n\n* For help on reading from STDIN, see the [HackerRank environment help page](https://www.hackerrank.com/environment) under the \"Sample Problem Statement\" section.\n\n![](http://i.imgur.com/ajyNlBd.png)\n\n" }, { "path": "coin_change/solutions/CoinChangeSolution.java", "content": "package solutions;\r\n\r\nimport java.io.BufferedReader;\r\nimport java.io.InputStreamReader;\r\n\r\npublic class CoinChangeSolution {\r\n\r\n public static void main(String[] args) throws Exception {\r\n // read STDIN\r\n BufferedReader br = new BufferedReader(new InputStreamReader(System.in));\r\n int[] coins = getCoins(br.readLine());\r\n int amt = Integer.valueOf(br.readLine());\r\n\r\n // write STDOUT\r\n System.out.println(countOptimal(coins, amt));\r\n }\r\n\r\n /*\r\n * Calculates the number of many ways can we make the change from a list of\r\n * coins.\r\n * \r\n * @param coins[] array of change in coins\r\n * @param amt amt to make change from\r\n * \r\n * @return number of solutions\r\n */\r\n public static int countOptimal(int[] coins, int amt) {\r\n\r\n // solutions[i] contains the no. of solutions for value i.\r\n // We build from bottom up using the base case (n = 0)\r\n int solutions[] = new int[amt + 1];\r\n solutions[0] = 1;\r\n \r\n for (Integer i : coins)\r\n for (int j = i; j <= amt; j++)\r\n solutions[j] += solutions[j - i];\r\n\r\n return solutions[amt];\r\n }\r\n\r\n public static int countRecursive(int coins[], int c, int sum) {\r\n\r\n if (sum == 0)\r\n return 1;\r\n if (sum < 0)\r\n return 0;\r\n if (c <= 0 && sum >= 1)\r\n return 0;\r\n\r\n return countRecursive(coins, c - 1, sum)\r\n + countRecursive(coins, c, sum - coins[c - 1]);\r\n }\r\n\r\n public static void print() {\r\n // TODO:\r\n }\r\n\r\n private static int[] getCoins(String line) {\r\n String[] nums = line.split(\", \");\r\n int[] coins = new int[nums.length];\r\n\r\n for (int i = 0; i < nums.length; i++)\r\n coins[i] = Integer.valueOf(nums[i]);\r\n\r\n return coins;\r\n }\r\n\r\n}\r\n" }, { "path": "coin_change/solutions/CoinChangeSolution.scala", "content": "\nobject CoinChangeSolution {\n\n def main(args: Array[String]) = {\n\n val input = io.Source.stdin.bufferedReader\n val coins = input.readLine().split(\",\").map(_.toInt).toList\n val amt = input.readLine().toInt\n\n println(count(coins, amt))\n }\n\n def count(coins: List[Int], amt: Int) = {\n\n val solutions = Array.fill(amt + 1)(0)\n solutions(0) = 1\n\n coins.foreach(coin => for (c <- coin to amt)\n solutions(c) = solutions(c) + solutions(c - coin))\n\n solutions(amt)\n }\n}\n" }, { "path": "coin_change/solutions/CoinChangeSolutionTest.java", "content": "package solutions;\r\n\r\nimport static org.junit.Assert.*;\r\n\r\nimport org.junit.Test;\r\n\r\npublic class CoinChangeSolutionTest {\r\n\r\n\t@Test\r\n\tpublic void testCoinChangeSolutionRecursive() {\r\n\r\n\t\tint coins[] = { 1, 2, 3 };\r\n\t\tassertEquals(4, CoinChangeSolution.countRecursive(coins, coins.length, 4));\r\n\r\n\t\tcoins = new int[] { 1, 2, 3 };\r\n\t\tassertEquals(5, CoinChangeSolution.countRecursive(coins, coins.length, 5));\r\n\r\n\t\tcoins = new int[] { 2, 5, 3, 6 };\r\n\t\tassertEquals(5, CoinChangeSolution.countRecursive(coins, coins.length, 10));\r\n\t}\r\n\r\n\t@Test\r\n\tpublic void testCoinChangeSolutionOptimal() {\r\n\r\n\t\tint coins[] = { 1, 2, 3 };\r\n\t\tassertEquals(4, CoinChangeSolution.countOptimal(coins, 4));\r\n\r\n\t\tcoins = new int[] { 1, 2, 3 };\r\n\t\tassertEquals(5, CoinChangeSolution.countOptimal(coins, 5));\r\n\r\n\t\tcoins = new int[] { 2, 5, 3, 6 };\r\n\t\tassertEquals(5, CoinChangeSolution.countOptimal(coins, 10));\r\n\t}\r\n\r\n\t@Test\r\n\tpublic void testCoinChangeSolutionRecursiveSpeed() {\r\n\r\n\t\tint coins[] = { 2, 5, 3, 6, 10, 7, 8, 12, 17, 19, 20 };\r\n\t\tassertEquals(227491942,\r\n\t\t CoinChangeSolution.countRecursive(coins, coins.length, 250));\r\n\t}\r\n\r\n\t@Test\r\n\tpublic void testCoinChangeSolutionOptimalSpeed() {\r\n\r\n\t\tint coins[] = { 2, 5, 3, 6, 10, 7, 8, 12, 17, 19, 20 };\r\n\t\tassertEquals(227491942, CoinChangeSolution.countOptimal(coins, 250));\r\n\t}\r\n\r\n}\r\n" }, { "path": "coin_change/solutions/coin_change_solution.js", "content": "#!/usr/bin/env node\n\n// Solve the \"Coin Change\" problem using a bottom-up dynamic programming\n// approach. The time complexity is O(n * coins.length) since we have a nested\n// loop. The storage complexity is the same, as we store a matrix.\n//\n// * `coins` is an array of the coin values, eg. [ 1, 2, 3 ]. We assume it\n// to be non-empty.\n// * `n` is the amount, eg. 4 cents.\n//\n// The top-down solution is also possible (memoization), but can causes\n// stack-overflows for large inputs.\n//\nfunction findPermutations(coins, n) {\n\n // The 2-dimension buffer will contain answers to this question:\n // \"how much permutations is there for an amount of `i` cents, and `j`\n // remaining coins?\" eg. `buffer[10][2]` will tell us how many permutations\n // there are when giving back 10 cents using only the first two coin types\n // [ 1, 2 ].\n var buffer = new Array(n + 1);\n for (var i = 0; i <= n; ++i)\n buffer[i] = new Array(coins.length + 1);\n\n // For all the cases where we need to give back 0 cents, there's exactly\n // 1 permutation: the empty set. Note that buffer[0][0] won't ever be\n // needed.\n for (var j = 1; j <= coins.length; ++j)\n buffer[0][j] = 1;\n\n // We process each case: 1 cent, 2 cent, etc. up to `n` cents, included.\n for (i = 1; i <= n; ++i) {\n\n // No more coins? No permutation is possible to attain `i` cents.\n buffer[i][0] = 0;\n\n // Now we consider the cases when we have J coin types available.\n for (j = 1; j <= coins.length; ++j) {\n\n // First, we take into account all the known permutations possible\n // _without_ using the J-th coin (actually computed at the previous\n // loop step).\n var value = buffer[i][j - 1];\n\n // Then, we add all the permutations possible by consuming the J-th\n // coin itself, if we can.\n if (coins[j - 1] <= i)\n value += buffer[i - coins[j - 1]][j];\n\n // We now know the answer for this specific case.\n buffer[i][j] = value;\n }\n }\n\n // Return the bottom-right answer, the one we were looking for in the\n // first place.\n return buffer[n][coins.length];\n}\n\n// The boring stuff: parsing and printing.\n//\nfunction processData(input) {\n var lines = input.split('\\n');\n var coins = lines[0].split(',').map(function (s) {return +s;});\n var n = +lines[1];\n var res = findPermutations(coins, n);\n console.log(res);\n}\n\nprocess.stdin.resume();\nprocess.stdin.setEncoding(\"ascii\");\n_input = \"\";\nprocess.stdin.on(\"data\", function (input) {\n _input += input;\n});\n\nprocess.stdin.on(\"end\", function () {\n processData(_input);\n});\n" }, { "path": "coin_change/solutions/coin_change_solution.py", "content": "import cPickle as pickle\nimport sys\n\n\ndef memoize(func):\n cache = {}\n\n def wrapper(*args, **kwargs):\n key = pickle.dumps(args) + pickle.dumps(kwargs)\n if key not in cache:\n cache[key] = func(*args, **kwargs)\n return cache[key]\n return wrapper\n\n\n@memoize\ndef solve(coins, amount):\n if len(coins) == 0:\n return 0\n if len(coins) == 1:\n return 1 if amount % coins[0] == 0 else 0\n ways = 0\n current_coin, rest_of_coins = coins[0], coins[1:]\n i = 0\n while amount - i * current_coin >= 0:\n ways += solve(rest_of_coins, amount - i * current_coin)\n i += 1\n return ways\n\n\ndef main():\n coins = sorted(map(int, sys.stdin.readline().strip().split(\",\")),\n reverse=True)\n amount = int(sys.stdin.readline().strip())\n ways = solve(coins, amount)\n print(ways)\n\nif __name__ == \"__main__\":\n main()\n" }, { "path": "factorial/README.md", "content": "**n factorial** (written as **n!**) is the number we get when we multiply every positive number from 1 up to n together. In this problem, *your code* will do the grunt work of computing the factorial.\n\n# Problem Statement\n\nWrite a program that, given a number `n` from STDIN, prints out the factorial of `n` to STDOUT:\n\n* If `n` is `0`, `n` factorial is `1`\n* `n!` is not defined for negative numbers.\n\nExample 1:\n\n```\n3! = 3 × 2 × 1 = 6\n```\n\nSo given the input **`3`**, your program should output:\n\n```\n6\n```\n\nExample 2:\n\n```\n7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040\n```\n\nSo given the input **`7`**, your program should output:\n\n```\n5040\n```\n\n# What are factorials good for?\n\nFactorials can be used to calculate the number of permutations of a given set. Think—if there are 3 letters—**A, B, and C**, they can be arranged as: **ABC, ACB, BAC, BCA, CAB, or CBA**. That's *6* options because A can be put in 3 different slots, B has 2 choices left after A is placed, and C has only one option left after A and B have been placed. That is 3×2×1 = 6 choices.\n\nMore generally, if there are three objects, and we want to find out how many different ways there are to arrange (or select them), for the first object, there are 3 choices, for the second object, there are only two choices left as the first object has already been chosen, and finally, for the third object, there is only one position left.\n\nSo using what we know about factorials, we know that there are 6 options for arranging 3 items. **`3!`** is equivalent to 3×2×1, or 6.\n\nTo dig a bit deeper in to factorials and their role in permutations and combinations (which occasionally come up in interviews), check out [this article and its practice problems](http://www.wyzant.com/resources/lessons/math/precalculus/factorials_permutations_and_combinations).\n\n# Hints\n\n* The factorial function grows very fast. There are **3,628,800** ways to arrange **10** items.\n\n* This problem can be solved in an [imperative style](http://en.wikipedia.org/wiki/Functional_programming#Comparison_to_imperative_programming) using loops—or in a functional style, using recursion. If you write a recursive solution, its worth reading up on [tail-call optimization](http://en.wikipedia.org/wiki/Tail_call) or watching the Coding for Interviews course lecture on recursion before if your solution's stack level goes too deep\n\n* For help on reading from STDIN, see the [HackerRank environment help page](https://www.hackerrank.com/environment) under the \"Sample Problem Statement\" section.\n\n![](http://i.imgur.com/ajyNlBd.png)\n\n" }, { "path": "factorial/solutions/FactorialSolution.java", "content": "package solutions\n\nimport java.io.BufferedReader;\nimport java.io.InputStreamReader;\nimport java.math.BigInteger;\n\n\npublic class FactorialSolution {\n\n public static void main(String[] args) throws Exception {\n // read STDIN \n BufferedReader br = new BufferedReader(new InputStreamReader(System.in));\n BigInteger n = BigInteger.valueOf(Integer.parseInt(br.readLine()));\n // write STDOUT\n System.out.println(factorial(n, BigInteger.ONE));\n }\n\n /*\n * Factorial of n \n * @param n input\n * @param acc accumulator (tail call optimization)\n * @return n! \n */\n public static BigInteger factorial(BigInteger n, BigInteger acc) {\n \n if (n.equals(BigInteger.ZERO))\n return acc;\n else\n return factorial(n.subtract(BigInteger.ONE), n.multiply(acc)); \n } \n}\n\n" }, { "path": "factorial/solutions/FactorialSolution.scala", "content": "package solutions\n\nobject FactorialSolution {\n\n def main(args: Array[String]) = {\n val input = io.Source.stdin.bufferedReader.readLine()\n println(factorial(input.toInt))\n }\n\n def factorial(n: Int): BigInt = {\n \n def calc(acc: BigInt, n: Int): BigInt =\n if (n == 0) acc\n else calc(acc * n, n - 1)\n\n calc(1, n)\n }\n\n}\n" }, { "path": "fibonacci_dynamic/HINTS.md", "content": "## General Approach\n\n1. Find the base case(s),\n2. Have your function recognize the base case(s) and provide a solution,\n3. *Recognize if you have already solved this input,*\n4. Recursively define a solution to the sub-problem for other inputs,\n5. Call your function on the input and print the result to STDOUT.\n\n## Things to think about\n\n* If your language doesn't support tail call elimination, you might want to use an iterative approach this time.\n* How will you recognize if you already have a solution for a given sub-problem?\n* How do you plan to store your previous solutions? Are there major trade-offs for using different data structures in this case?\n" }, { "path": "fibonacci_dynamic/README.md", "content": "This question expands on our earlier Fibonacci Lite challenge. While the goal\nof Fibonacci Lite was to understand recursion, this challenge is about solving\nproblems efficiently with dynamic programming.\n\nThe difference in this challenge is that each test case will consist of many\ninputs instead of just one. Furthermore, we're allowing larger values of *n*.\nYou'll need to use dynamic programming to solve all the inputs without running\nout of time.\n\nSo, given many numbers *n*, print the *n*th value of the Fibonacci\nsequence for each of them, in order, on their own line.\n\nHere are the definitions of the sequence again:\n\n> *Fn = Fn - 1 + Fn - 2*\n\nUsing the following seed values:\n\n> *F0 = 0, F1 = 1*\n\n## Examples\nInput:\n\n```\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n```\n\nOutput:\n\n```\n1\n1\n2\n3\n5\n8\n13\n21\n34\n55\t\n```\n\nInput:\n\n```\n41\n8\n22\n```\n\nOutput:\n\n```\n165580141\n21\n17711\n```\n## Input Format and Restrictions\nEach test case will consist of several positive integers *n*, each on their own line.\n\nThe inputs will always satisfy the following restrictions:\n\n* *Fn* < 2^**64** - 1,\n* 0 <= *n* < **100**\n" }, { "path": "fibonacci_dynamic/SOLUTION.md", "content": "# Fibonacci Sequence with Dynamic Programming\n## A.K.A. \"Fibonacci Returns\"\n\nThere are two major differences between this version of the Fibonacci exercise\nand our previous \"Lite\" version. Both differences are to accommodate larger\ninputs, as well as computing multiple values of *n* in one test case.\n\nIn pseudo-code, the solution works as follows:\n \n memoize the seed values\n\n for each value of n:\n if n is memoized:\n\t return memoized value of n\n\telse:\n\t result = largest memoized value of n\n\t n_minus_1 = memoized value of (largest memoized n - 1)\n\n i = largest memoized n\n\t \n\t while i < n\n\t n_minus_2 = n_minus_1\n\t\tn_minus_1 = result\n\t\tresult = n_minus_2 + n_minus_1\n\n\t\ti++\n\t\tmemoize(i, result)\n\n\t return result\n\n### Iterative Computation of the Sequence\n\nOur previous reference implementation used a naive recursive implementation, as\nit closely reflects the mathematical definition of the Fibonacci sequence and\nserves as a good introduction to recursion. However, recursive functions with\nthis many levels are inefficient in some languages (including Ruby), so we have\nopted for an iterative solution this time around.\n\nThis will give much better performance in Ruby (and some other languages), as\nwe avoid the overhead of a number of function call equal to *n*.\n\n### Memoization\n\nThis is where the dynamic programming part of the solution comes in. Memoizing\nis a dynamic programming technique where the results of a computation for some\ninput are re-used when the program recognizes that it has already been\ncomputed. This can result in huge performance gains if sub-problems reappear\nfrequently. But how does this apply to the Fibonacci sequence?\n\nThe key observation is that to compute Fib(n), one must also compute every\nvalue of the sequence from 1 to n. If we save all of the results from these\ncomputations, it means that we can retrieve any value of n that is less than or\nequal to the largest we have seen thus far in O(1) time instead of O(n) time!\n\nFurthermore, if we need to compute a value of n larger than we have seen\nbefore, we still use our largest value of n and can start computing from there\ninstead of from Fib(1).\n" }, { "path": "fibonacci_dynamic/SOLUTION.md.bak", "content": "# Fibonacci Sequence with Dynamic Programming\n## A.K.A. \"Fibonaccai Returns\"\n\nThere are two major differences between this version of the Fibonacci exercise\nand our previous \"Lite\" version. Both differences are to accomodate larger\ninputs, as well as computing multiple values of *n* in one test case.\n\nIn pseudo-code, the solution works as follows:\n \n memoize the seed values\n\n for each value of n:\n if n is memoized:\n\t return memoized value of n\n\telse:\n\t result = largest memoized value of n\n\t n_minus_1 = memoized value of (largest memoized n - 1)\n\n i = largest memoized n\n\t \n\t while i < n\n\t n_minus_2 = n_minus_1\n\t\tn_minus_1 = result\n\t\tresult = n_minus_2 + n_minus_1\n\n\t\ti++\n\t\tmemoize(i, result)\n\n\t return result\n\n### Iterative Computation of the Sequence\n\nOur previous reference implementation used a naive reursive implementation, as\nit closely reflects the mathematical definition of the Fibonacci sequence and\nserves as a good introduction to recursion. However, recursive functions with\nthis many levels are inefficient in some languages (including Ruby), so we have\nopted for an iterative solution this time around.\n\nThis will give much better performance in Ruby (and some other languages), as\nwe avoid the overhead of a number of function call equal to *n*.\n\n### Memoization\n\nThis is where the dynamic programming part of the solution comes in. Memoizing\nis a dynamic programming technique where the results of a computation for some\ninput are re-used when the program recognizes that it has already been\ncomputed. This can result in huge performance gains if sub-problems reappear\nfrequently. But how does this apply to the Fibonacci sequence?\n\nThe key observation is that to compute Fib(n), one must also compute every\nvalue of the sequence from 1 to n. If we save all of the results from these\ncomputations, it means that we can retrieve any value of n that is less than or\nequal to the largest we have seen thus far in O(1) time instead of O(n) time!\n\nFurthermore, if we need to compute a value of n larger than we have seen\nbefore, we still use our largest value of n and can start computing from there\ninstead of from Fib(1).\n" }, { "path": "fibonacci_dynamic/generator/generate_cases.rb", "content": "@memos = Hash.new\ndef fib(n)\n\tif @memos[n]\n\t\treturn @memos[n]\n\telse\n\t\ti = 0\n\t\tk = 0\n\t\tlast_1 = 1\n\t\tlast_2 = 0\n\t\twhile i < n\n\t\t\tlast_2 = last_1\n\t\t\tlast_1 = k\n\t\t\tk = last_1 + last_2\n\t\t\ti += 1\n\t\tend\n\t\t\n\t\t@memos[n] = k\n\t\treturn k\n\tend\nend\n\n# These are my selected inputs for the problem; they are ordered by increasing\n# difficulty of n, and includes the \"edge case\" of n = 47, the largest value in\n# the Fibonacci sequence that will fit in a 32-bit integer.\nselected = [\n\t[1, 2, 3, 4, 5, 6, 7, 8, 9, 10],\n\t[40, 2],\n\tArray.new(1000) {|i| i = rand(1..99)},\n\tArray.new(2000) {|i| i = rand(1..99)},\n\tArray.new(3000) {|i| i = rand(1..99)},\n\tArray.new(4000) {|i| i = rand(1..99)},\n\tArray.new(5000) {|i| i = rand(1..99)}\n]\n\nselected.each_index { |i|\n\tfmode = File::WRONLY | File::CREAT\n\tpath = \"fib-cases/\"\n\tinput = File.new(\"#{path}input/input#{sprintf(\"%02d\", i)}.txt\", fmode)\n\toutput = File.new(\"#{path}output/output#{sprintf(\"%02d\", i)}.txt\", fmode)\n\n\tinput.write(selected[i].join(\"\\n\"))\n\tselected[i].each {|n| output.write(fib(n).to_s + \"\\n\")}\n\tputs \"#{i + 1}/#{selected.length}\"\n}\n" }, { "path": "fibonacci_dynamic/solutions/fibonacci_dynamic.rb", "content": "# Initialize an empty hash to memoize values into\n@memos = { 0 => 0, 1 => 1 }\n\ndef fib(n)\n # Check if we already have a result for this value of n\n if @memos[n]\n return @memos[n]\n else\n # Otherwise, compute the result iteratively\n i = @memos.keys.max || 0\n k = @memos[@memos.keys.max] || 0\n last_1 = n < 2 ? 1 : @memos[i - 1]\n\n while i < n\n last_2 = last_1\n last_1 = k\n k = last_1 + last_2\n # Memoize the result for later\n i += 1\n @memos[i] = k\n end\n \n return k\n end\nend\n\nARGF.each_line {|n|\n puts fib(n.to_i)\n}\n" }, { "path": "fibonacci_dynamic/tests/input00.txt", "content": "1\n2\n3\n4\n5\n6\n7\n8\n9\n10" }, { "path": "fibonacci_dynamic/tests/input01.txt", "content": "40\n2" }, { "path": "fibonacci_dynamic/tests/input02.txt", "content": "91\n67\n5\n57\n7\n5\n80\n98\n99\n68\n27\n33\n61\n82\n18\n1\n38\n44\n75\n62\n5\n90\n46\n17\n48\n36\n61\n64\n38\n84\n11\n14\n89\n36\n16\n47\n73\n61\n55\n84\n40\n59\n51\n78\n56\n62\n28\n31\n31\n29\n17\n2\n59\n80\n3\n79\n12\n58\n72\n12\n23\n5\n14\n95\n12\n73\n70\n1\n82\n48\n8\n4\n40\n61\n35\n40\n1\n53\n84\n92\n45\n74\n60\n80\n94\n85\n88\n96\n32\n44\n1\n50\n90\n54\n33\n1\n63\n70\n42\n48\n18\n74\n39\n61\n40\n91\n58\n64\n36\n1\n43\n50\n60\n3\n66\n93\n46\n91\n26\n77\n7\n19\n59\n82\n16\n69\n98\n99\n21\n68\n4\n42\n15\n61\n53\n90\n44\n65\n97\n45\n7\n25\n93\n19\n54\n66\n41\n42\n91\n89\n22\n11\n98\n34\n85\n59\n62\n23\n72\n19\n86\n23\n37\n81\n32\n39\n97\n35\n67\n77\n51\n14\n61\n75\n31\n31\n83\n26\n59\n51\n34\n89\n54\n34\n47\n86\n34\n55\n6\n30\n67\n82\n86\n78\n4\n6\n2\n88\n5\n57\n77\n55\n8\n91\n12\n88\n95\n27\n42\n46\n41\n53\n93\n7\n10\n95\n89\n89\n89\n42\n92\n98\n92\n58\n43\n59\n11\n36\n27\n17\n53\n30\n14\n16\n48\n94\n38\n79\n30\n31\n60\n22\n37\n37\n8\n14\n92\n11\n90\n65\n84\n31\n6\n87\n63\n39\n27\n97\n96\n46\n34\n8\n79\n25\n64\n11\n20\n44\n36\n41\n97\n11\n93\n93\n4\n22\n20\n66\n6\n1\n3\n82\n89\n65\n58\n40\n9\n92\n12\n37\n42\n35\n92\n67\n44\n59\n78\n5\n31\n87\n15\n49\n95\n28\n91\n50\n50\n38\n46\n4\n60\n26\n25\n74\n24\n43\n57\n50\n68\n69\n19\n99\n86\n33\n22\n89\n40\n25\n85\n63\n87\n54\n13\n16\n73\n20\n57\n19\n72\n81\n1\n90\n35\n44\n52\n80\n13\n18\n81\n72\n33\n29\n33\n91\n6\n91\n80\n52\n41\n1\n48\n36\n50\n9\n22\n4\n98\n39\n16\n74\n20\n31\n10\n11\n83\n16\n8\n44\n23\n16\n54\n41\n29\n16\n67\n84\n75\n28\n99\n61\n19\n21\n9\n76\n48\n33\n92\n1\n22\n70\n27\n65\n8\n23\n78\n20\n70\n85\n41\n74\n34\n80\n63\n28\n15\n98\n12\n7\n91\n47\n46\n18\n22\n5\n25\n46\n92\n95\n15\n11\n39\n77\n68\n15\n5\n68\n89\n88\n68\n97\n54\n38\n2\n66\n86\n30\n33\n13\n46\n8\n32\n22\n81\n52\n25\n82\n41\n68\n4\n37\n50\n27\n89\n16\n98\n76\n65\n75\n35\n49\n38\n10\n11\n8\n73\n76\n23\n7\n42\n58\n13\n66\n25\n25\n37\n54\n65\n50\n49\n24\n33\n34\n95\n21\n79\n21\n15\n59\n55\n91\n84\n87\n10\n4\n5\n91\n24\n74\n97\n43\n34\n5\n16\n23\n69\n90\n77\n29\n97\n27\n76\n58\n4\n73\n28\n80\n31\n4\n61\n16\n87\n98\n22\n9\n41\n80\n59\n68\n18\n37\n53\n76\n95\n78\n3\n2\n2\n45\n54\n45\n71\n66\n69\n42\n20\n67\n26\n4\n25\n64\n60\n8\n57\n50\n77\n55\n75\n76\n24\n22\n16\n37\n76\n46\n43\n47\n47\n88\n12\n45\n81\n19\n90\n98\n65\n64\n37\n35\n71\n33\n38\n55\n5\n70\n8\n67\n28\n1\n63\n76\n36\n23\n97\n52\n7\n92\n23\n16\n33\n99\n53\n80\n24\n58\n81\n78\n84\n58\n53\n9\n60\n92\n86\n54\n93\n83\n15\n90\n91\n38\n86\n96\n4\n74\n16\n44\n58\n71\n32\n54\n21\n95\n23\n56\n45\n91\n44\n33\n48\n36\n72\n48\n36\n70\n7\n52\n73\n33\n60\n46\n44\n29\n37\n66\n6\n50\n27\n44\n36\n94\n54\n68\n41\n95\n18\n67\n71\n6\n69\n6\n55\n28\n93\n61\n34\n65\n81\n17\n22\n65\n48\n39\n72\n91\n71\n75\n28\n55\n83\n96\n86\n52\n10\n46\n51\n59\n73\n50\n79\n54\n35\n5\n77\n85\n92\n28\n29\n68\n27\n61\n18\n37\n31\n9\n97\n40\n5\n40\n56\n49\n78\n84\n75\n62\n34\n92\n56\n11\n72\n95\n63\n79\n63\n1\n82\n63\n51\n70\n45\n1\n36\n26\n21\n7\n65\n90\n35\n40\n21\n65\n68\n42\n38\n9\n76\n70\n66\n13\n24\n69\n11\n78\n30\n18\n94\n58\n27\n45\n86\n57\n30\n35\n27\n6\n9\n23\n99\n33\n96\n40\n80\n90\n67\n21\n62\n86\n6\n48\n81\n30\n38\n42\n63\n86\n80\n26\n11\n30\n64\n22\n41\n43\n78\n8\n94\n57\n63\n53\n26\n33\n17\n19\n52\n22\n45\n22\n77\n49\n35\n3\n38\n85\n7\n29\n27\n33\n21\n16\n85\n18\n55\n26\n27\n17\n4\n9\n22\n49\n66\n22\n36\n10\n57\n27\n15\n96\n62\n29\n9\n13\n83\n49\n2\n57\n55\n22\n77\n42\n84\n80\n67\n83\n91\n9\n25\n67\n23\n74\n97\n49\n91\n91\n53\n45\n92\n72\n50\n4\n64\n11\n40\n65\n87\n45\n88\n85\n63\n42\n47\n91\n92\n25\n11\n80\n43\n18\n29\n67\n74\n19\n82\n86\n38\n66\n39\n37\n27\n94\n33\n64\n8\n52\n26\n46\n46\n10\n28\n20\n31\n71\n38\n31\n94\n26\n73\n76\n65\n20\n37\n47\n2\n6\n64\n36\n58\n30\n54\n91\n17\n96\n44\n52\n56\n50\n9\n27\n38\n48\n95\n96\n7\n97\n62\n16\n30\n80\n72\n82\n30\n64\n64\n69\n79\n89\n18\n77\n58\n44\n73\n48\n29\n33\n73\n51\n88\n19\n31\n91\n13\n60\n57\n50\n6\n7\n67\n14\n2\n84\n36\n64" 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}, { "path": "fibonacci_dynamic/tests/output00.txt", "content": "1\n1\n2\n3\n5\n8\n13\n21\n34\n55\n" }, { "path": "fibonacci_dynamic/tests/output01.txt", "content": "102334155\n1\n" }, { "path": "fibonacci_dynamic/tests/output02.txt", "content": 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2111485077978050\n7778742049\n365435296162\n218922995834555169026\n117669030460994\n51680708854858323072\n1548008755920\n987\n117669030460994\n6765\n190392490709135\n7540113804746346429\n701408733\n2178309\n14472334024676221\n6557470319842\n55\n51680708854858323072\n4181\n17167680177565\n102334155\n117669030460994\n2111485077978050\n377\n2880067194370816120\n28657\n806515533049393\n956722026041\n51680708854858323072\n10946\n259695496911122585\n12200160415121876738\n4660046610375530309\n13\n17711\n32951280099\n139583862445\n1\n1548008755920\n1346269\n8\n267914296\n7540113804746346429\n160500643816367088\n2\n21\n13\n21\n31940434634990099905\n591286729879\n317811\n701408733\n121393\n420196140727489673\n5527939700884757\n3\n514229\n514229\n5702887\n610\n956722026041\n701408733\n51680708854858323072\n4181\n19740274219868223167\n3416454622906707\n32951280099\n591286729879\n72723460248141\n4052739537881\n1346269\n117669030460994\n2\n2178309\n514229\n2971215073\n4181\n27777890035288\n6765\n75025\n2971215073\n377\n7540113804746346429\n498454011879264\n14472334024676221\n6765\n10610209857723\n2178309\n7778742049\n39088169\n2504730781961\n1548008755920\n44945570212853\n83621143489848422977\n8\n1346269\n259695496911122585\n5702887\n31940434634990099905\n225851433717\n89\n44945570212853\n160500643816367088\n2504730781961\n2111485077978050\n5\n317811\n13\n6557470319842\n308061521170129\n308061521170129\n308061521170129\n89\n6765\n679891637638612258\n8\n1134903170\n701408733\n55\n12586269025\n21\n2111485077978050\n12200160415121876738\n420196140727489673\n1\n135301852344706746049\n20365011074\n190392490709135\n165580141\n2880067194370816120\n24157817\n28657\n72723460248141\n160500643816367088\n44945570212853\n3\n53316291173\n63245986\n5527939700884757\n20365011074\n259695496911122585\n53316291173\n3524578\n37889062373143906\n1\n196418\n1346269\n1100087778366101931\n806515533049393\n55\n55\n806515533049393\n5\n365435296162\n2584\n259695496911122585\n6557470319842\n8\n37889062373143906\n165580141\n4660046610375530309\n4052739537881\n259695496911122585\n13\n365435296162\n190392490709135\n102334155\n117669030460994\n44945570212853\n701408733\n4181\n34\n63245986\n24157817\n3524578\n308061521170129\n2880067194370816120\n3416454622906707\n37889062373143906\n4181\n987\n75025\n14930352\n2178309\n39088169\n6765\n591286729879\n832040\n46368\n10610209857723\n1548008755920\n20365011074\n1346269\n377\n514229\n1779979416004714189\n28657\n14472334024676221\n135301852344706746049\n121393\n46368\n4181\n4660046610375530309\n13\n34\n3416454622906707\n121393\n308061521170129\n5527939700884757\n218922995834555169026\n5\n2584\n806515533049393\n196418\n102334155\n365435296162\n51680708854858323072\n63245986\n2504730781961\n2111485077978050\n10610209857723\n233\n218922995834555169026\n9227465\n1346269\n89\n2880067194370816120\n46368\n3\n1548008755920\n75025\n46368\n701408733\n2971215073\n679891637638612258\n1548008755920\n420196140727489673\n53316291173\n160500643816367088\n6557470319842\n2178309\n10946\n317811\n63245986\n3416454622906707\n4807526976\n5527939700884757\n1\n4807526976\n10610209857723\n1304969544928657\n7540113804746346429\n1548008755920\n19740274219868223167\n135301852344706746049\n832040\n365435296162\n144\n8\n24157817\n365435296162\n433494437\n806515533049393\n7540113804746346429\n1\n218922995834555169026\n514229\n1134903170\n21\n1597\n679891637638612258\n2178309\n61305790721611591\n89\n1304969544928657\n6765\n5702887\n46368\n377\n701408733\n3\n6765\n12586269025\n196418\n3524578\n679891637638612258\n10946\n" }, { "path": "fibonacci_lite/HINTS.md", "content": "## General Approach\n\n1. Find the base case(s),\n2. Have your function recognize the base case(s) and provide a solution,\n3. Recursively define a solution to the sub-problem for other inputs,\n4. Call your function on the input and print the result to STDOUT.\n\n## Things to think about\n\nAlthough we are doing this mainly to learn recursion, think about whether\nthis is effecient in your language of choice. Does your language support tail\ncall elimination?\n" }, { "path": "fibonacci_lite/README.md", "content": "For this question, you will write a program that generates values from the\nFibonacci sequence. The Fibonnaci sequence is recursively defined by:\n\n> *Fn = Fn - 1 + Fn - 2*\n\nUsing the following seed values:\n\n> *F0 = 0, F1 = 1*\n\nGiven a number *n*, print the *n*th value of the Fibonacci sequence.\n\n## Examples\nInput:\n\n```\n12\n```\n\nOutput:\n\n```\n144\n```\n\nInput:\n\n```\n30\n```\n\nOutput:\n\n```\n832040\n```\n## Input Format and Restrictions\nEach test case will consist of a single positive integer *n*.\n\nThe inputs will always satisfy the following restrictions:\n\n* *Fn* < 2^32 - 1,\n* 0 <= *n* < 50\n" }, { "path": "fibonacci_lite/SOLUTION.md", "content": "# Fibonacci Lite\n\n## Explanation\n\nThe example solution for this challenge deliberately uses a naive recursive\nsolution, as it is meant to be an introduction to recursion. Notice that our\nfunction definition looks very similar to the (recursive) mathematical\ndefinition. Furthermore, take note that the function calls itself in the last\nline; this is what makes it recursive.\n\nHere it is in pseudo-code:\n fibonacci(n)\n if n == 0\n return 0\n else if n == 1\n return 1\n else\n return fibonacci(n - 1) + fibonacci(n - 2)\n\nOur base cases are defined for positions 0 and 1 in the sequence, so we check\nfor those values first. Any larger values are recursively derived by breaking\n*n* down into progressively smaller values, eventually reaching the base case.\n\n## Limitations\n\nThis implementation is sufficient for our exercise, but we should also consider\nwhy solutions in this form should not be used in production applications.\n\nFirst of all, it assumes that it will receive a positive integer as input. If\nit is given a negative integer, the base cases will never be reached and the\nfunction will run until the call stack is exhausted and the program crashes.\n\nSecond, it is not at all efficient. Even languages which support tail call\nelimination are not likely to optimize this function, as the last line depends\non the results of two separate recursive calls. In any case, even for valid\ninputs, the amount of memory required to compute the recursive calls may be\nlarge enough that the program will crash, even though it would succeed if there\nwere more memory available.\n" }, { "path": "fibonacci_lite/generator/gen_testcase.rb", "content": "# Naive implementation. We'll choose correctness over speed here.\ndef fib(n)\n\tcase n\n\twhen 0\n\t\t0\n\twhen 1\n\t\t1\n\telse\n\t\tfib(n - 1) + fib(n - 2)\n\tend\nend\n\n# These are my selected inputs for the problem; they are ordered by increasing\n# difficulty of n, and includes the \"edge case\" of n = 47, the largest value in\n# the Fibonacci sequence that will fit in a 32-bit integer. Also, just for fun,\n# all of the inputs are prime.\nselected = [1, 7, 13, 19, 23, 29, 31, 37, 41, 47]\n\nselected.each_index { |i|\n\tfmode = File::WRONLY | File::CREAT\n\tpath = \"fib-cases/\"\n\tinput = File.new(\"#{path}input/input#{sprintf(\"%02d\", i)}.txt\", fmode)\n\toutput = File.new(\"#{path}output/output#{sprintf(\"%02d\", i)}.txt\", fmode)\n\n\tinput.write(selected[i].to_s)\n\toutput.write(fib(selected[i]).to_s)\n}\n" }, { "path": "fibonacci_lite/solutions/fibonacci.rb", "content": "# Enter your code here. Read input from STDIN. Print output to STDOUT\ndef fib(n)\n case n\n when 0\n 0\n when 1\n 1\n else\n fib(n - 1) + fib(n - 2)\n end\nend\n\nputs fib(ARGF.gets.to_i)\n" }, { "path": "fibonacci_lite/tests/input00.txt", "content": "47" }, { "path": "fibonacci_lite/tests/input01.txt", "content": "7" }, { "path": "fibonacci_lite/tests/input02.txt", "content": "13" }, { "path": "fibonacci_lite/tests/input03.txt", "content": "19" }, { "path": "fibonacci_lite/tests/input04.txt", "content": "23" }, { "path": "fibonacci_lite/tests/input05.txt", "content": "29" }, { "path": "fibonacci_lite/tests/input06.txt", "content": "31" }, { "path": "fibonacci_lite/tests/input07.txt", "content": "37" }, { "path": "fibonacci_lite/tests/input08.txt", "content": "41" }, { "path": "fibonacci_lite/tests/input09.txt", "content": "47" }, { "path": "fibonacci_lite/tests/output00.txt", "content": "1" }, { "path": "fibonacci_lite/tests/output01.txt", "content": "13" }, { "path": "fibonacci_lite/tests/output02.txt", "content": "233" }, { "path": "fibonacci_lite/tests/output03.txt", "content": "4181" }, { "path": "fibonacci_lite/tests/output04.txt", "content": "28657" }, { "path": "fibonacci_lite/tests/output05.txt", "content": "514229" }, { "path": "fibonacci_lite/tests/output06.txt", "content": "1346269" }, { "path": "fibonacci_lite/tests/output07.txt", "content": "24157817" }, { "path": "fibonacci_lite/tests/output08.txt", "content": "165580141" }, { "path": "fibonacci_lite/tests/output09.txt", "content": "2971215073" }, { "path": "find_uncoupled_int/README.md", "content": "Find the only uncoupled integer in an array.\n\n# Problem Statement\n\nWrite a program that, given a list of integers as an argument to STDIN \n\n* `n1, n2, n3, ..` \n\nPrints out the only uncoupled (unpaired) integer in the list to STDOUT.\n\n**Example 1:**\n\nGiven the input\n\n```\n1, 2, 3, 1, 2\n```\n\nyour program should output:\n\n```\n3\n```\n\n**Example 2:**\n\nGiven the input\n\n```\n1, 2, 3, 4, 5, 99, 1, 2, 3, 4, 5\n```\n\nyour program should output:\n\n```\n99\n```\n\n# Hints\n\n* It is possible to solve this with \n\n Time: O(n) and Space: O(1)\n \n So before diving into a hashtable solution, take a refresher on [Bitwise Operations](http://en.wikipedia.org/wiki/Bitwise_operation) \n" }, { "path": "find_uncoupled_int/solutions/FindUncoupledIntSolution.java", "content": "package solutions;\n\nimport java.io.BufferedReader;\nimport java.io.InputStreamReader;\nimport java.util.HashSet;\nimport java.util.Set;\n\npublic class FindUncoupledIntSolution {\n\n\tpublic static void main(String[] args) throws Exception {\n\t\t// read STDIN\n\t\tBufferedReader br = new BufferedReader(new InputStreamReader(System.in));\n\t\tint[] nums = toIntArray(br.readLine());\n\t\tbr.close();\n\n\t\t// write STDOUT\n\t\tSystem.out.println(find(nums));\n\t}\n\n\t/*\n\t * Computes the bitwise-XOR, ^, of all the elements of an array,\n\t * to find the unpaired element in O(n) time.\n\t * \n\t * @param nums[] array of elements to search in.\n\t * \n\t * @return unpaired element\n\t */\n\tpublic static int find(int[] nums) {\n\t\tint unpaired = 0;\n\t\tfor (int i : nums)\n\t\t\tunpaired ^= i;\n\n\t\treturn unpaired;\n\t}\n\n\t/*\n\t * finds all the unpaired element in an array.\n\t * \n\t * @param nums[] array of numbers to search in.\n\t * \n\t * @return array of unpaired elements\n\t */\n\tpublic static Integer[] findAll(int[] nums) {\n\n\t\tSet unpaired = new HashSet();\n\t\tfor (int i : nums)\n\t\t\tif (!unpaired.add(i)) unpaired.remove(i);\n\n\t\treturn unpaired.toArray(new Integer[unpaired.size()]);\n\t}\n\t\n\tprivate static int[] toIntArray(String line) {\n\t\tString[] nums = line.split(\",\");\n\t\tint[] res = new int[nums.length];\n\n\t\tfor (int i = 0; i < nums.length; i++)\n\t\t\tres[i] = Integer.valueOf(nums[i].trim());\n\n\t\treturn res;\n\t}\n\n}\n" }, { "path": "find_uncoupled_int/solutions/Solution.java", "content": "class Solution {\n public static int findUncoupled(int[] integers) {\n int allXored = 0;\n for (int i : integers) {\n allXored ^= i;\n }\n return allXored;\n }\n\n public static int findUncoupledSet(int[] integers) {\n Set seen = new HashSet();\n\n for (int i : integers) {\n if (seen.contains(i)) {\n seen.remove(i);\n } else {\n seen.add(i);\n }\n }\n\n for (int uncoupled : seen) {\n // Will be only one\n return uncoupled;\n }\n\n throw new IllegalArgumentException(\"Does not contain uncoupled integer.\");\n }\n\n public static void main(String[] args) {\n int[] ints = new int[] { 1, 1, 2, 2, 8 };\n System.out.println(findUncoupled(ints));\n System.out.println(findUncoupledSet(ints));\n }\n}\n" }, { "path": "linked_list_cycle/README.md", "content": "Write a function which, given a linked list, returns whether that linked list contains a cycle.\n\nE.g., given the following linked list, your function will say \"yes, this contains a cycle\".\n\n```\n E\n / ^\n v |\nA -> B -> C -> D\n```\n\nThat is, where traversing would result in `C -> D -> E -> C -> D -> E`\n" }, { "path": "linked_list_cycle/solutions/.gitkeep", "content": "" }, { "path": "linked_list_cycle/solutions/LinkedListCycle.java", "content": "import java.io.*;\nimport java.util.*;\n\nclass Node {\n public Node next;\n public T data;\n\n public boolean containsCycle() {\n Node stepping1 = this;\n Node stepping2 = this;\n\n while (stepping2.next != null && stepping2.next.next != null) {\n stepping1 = stepping1.next;\n stepping2 = stepping2.next.next;\n\n if (stepping1 == stepping2) {\n return true;\n }\n }\n\n return false;\n }\n}\n\nclass Solution {\n public static void main(String[] args) {\n Node a = new Node();\n a.data = \"A\";\n Node b = new Node();\n b.data = \"B\";\n Node c = new Node();\n c.data = \"C\";\n Node d = new Node();\n d.data = \"D\";\n Node e = new Node();\n d.data = \"E\";\n\n a.next = b;\n b.next = c;\n c.next = d;\n d.next = e;\n e.next = c;\n\n System.out.println(a.containsCycle());\n\n Node f = new Node();\n f.next = null;\n System.out.println(f.containsCycle());\n\n Node h = new Node();\n Node i = new Node();\n h.next = i;\n i.next = null;\n System.out.println(h.containsCycle());\n\n\n }\n}\n" }, { "path": "linked_list_reverse/README.md", "content": "Write a function which, given a linked list, returns that same linked list reversed.\n\n## Examples\n\nGiven: `A -> B -> C -> (null)`, returns `C -> B -> A -> (null)`\n\nGiven `A -> (null)`, returns `A -> (null)`\n" }, { "path": "linked_list_reverse/solutions/.gitkeep", "content": "" }, { "path": "minimum_stack/README.md", "content": "Implement a stack which keeps track of its minimum value.\n\nChallenge: can you keep the operation time complexity to `O(1)`?\n\nHint: Try using some extra space. What data structure might work for keeping track of minimums?\n" }, { "path": "minimum_stack/solutions/solution.js", "content": "function Stack() {\n this.valueStack = [];\n this.minimumStack = [];\n}\n\nStack.prototype.getMinimum = function () {\n return this.minimumStack.length === 0 ?\n null : this.minimumStack[this.minimumStack.length - 1];\n};\n\nStack.prototype.peek = function () {\n return this.valueStack[this.valueStack.length - 1];\n};\n\nStack.prototype.push = function (item) {\n this.valueStack.push(item);\n\n var currentMin = this.minimumStack.length > 0 ?\n this.minimumStack[this.minimumStack.length - 1] : item;\n\n if (item < currentMin) {\n this.minimumStack.push(item);\n } else {\n this.minimumStack.push(currentMin)\n }\n};\n\nStack.prototype.pushAll = function (items) {\n items.forEach(function(item) {\n this.push(item);\n }, this);\n};\n\nvar stack = new Stack();\nstack.pushAll([1 ,2 ,3, 5, 0]);\nconsole.log(stack.getMinimum());\n" }, { "path": "queue_two_stacks/README.md", "content": "Write a queue using two stacks.\n\nChallenge: can you write it in a way that causes, average-case, `O(1)` stack operations per enqueue and dequeue?\n" }, { "path": "queue_two_stacks/solutions/solution.js", "content": "function Staqueue() {\n this.stackIn = [];\n this.stackOut = [];\n}\n\nStaqueue.prototype.fastEnqueue = function (item) {\n this.stackIn.push(item);\n}\n\nStaqueue.prototype.fastDequeue = function (item) {\n if (this.stackOut.length === 0) {\n this.reverseFromTo(this.stackIn, this.stackOut);\n }\n\n return this.stackOut.pop();\n}\n\nStaqueue.prototype.enqueue = function (item) {\n this.stackIn.push(item);\n};\n\nStaqueue.prototype.dequeue = function (item) {\n this.reverseFromTo(this.stackIn, this.stackOut);\n\n var node = this.stackOut.pop();\n\n this.reverseFromTo(this.stackOut, this.stackIn);\n\n return node;\n};\n\nStaqueue.prototype.reverseFromTo = function (from, to) {\n var currentItem;\n while (currentItem = from.pop()) {\n to.push(currentItem);\n }\n}\n\n\nvar queue = new Staqueue();\nqueue.enqueue('a');\nqueue.enqueue('b');\nqueue.enqueue('c');\n\nconsole.log(queue.dequeue()); // a\nconsole.log(queue.dequeue()); // b\nqueue.enqueue('d');\nqueue.enqueue('e');\nconsole.log(queue.dequeue()); // c\n// stack flip required\nconsole.log(queue.dequeue()); // d\nconsole.log(queue.dequeue()); // e\n\n\nvar queueFast = new Staqueue();\nqueue.fastEnqueue('a');\nqueue.fastEnqueue('b');\nqueue.fastEnqueue('c');\n\nconsole.log(queue.fastDequeue()); // a\nconsole.log(queue.fastDequeue()); // b\nqueue.fastEnqueue('d');\nqueue.fastEnqueue('e');\nconsole.log(queue.fastDequeue()); // c\n// stack flip required\nconsole.log(queue.fastDequeue()); // d\nconsole.log(queue.fastDequeue()); // e\n" }, { "path": "ransom/Ransom.java", "content": "import java.util.HashMap;\nimport java.util.Map;\n\npublic class Ransom {\n public static boolean canRansom(String magazine, String ransom) {\n if (magazine.length() < ransom.length()) {\n return false;\n }\n Map magMap = new HashMap<>();\n for (String word : magazine.split(\" \")) {\n if (magMap.containsKey(word)) {\n magMap.put(word, magMap.get(word) + 1);\n } else {\n magMap.put(word, 1);\n }\n }\n\n for (String word : ransom.split(\" \")) {\n if (!magMap.containsKey(word)) {\n return false;\n }\n if (magMap.get(word) == 1) {\n magMap.remove(word);\n } else {\n magMap.put(word, magMap.get(word) - 1);\n }\n }\n return true;\n }\n}\n" }, { "path": "ransom/RansomTest.java", "content": "import org.testng.Assert;\nimport org.testng.annotations.Test;\n\npublic class RansomTest {\n\n @Test\n public void testCanRansom() throws Exception {\n boolean yayRansom = Ransom.canRansom(\"dying wool is what you will be doing\", \"you will be dying\");\n System.out.println(\"You \" + (yayRansom ? \"can\" : \"can't\") + \" write a ransom letter\");\n boolean failRansom = Ransom.canRansom(\"can you believe Justin Beiber's new shirt?\", \"give me all your money\");\n System.out.println(\"You \" + (failRansom ? \"can\" : \"can't\") + \" write a ransom letter\");\n\n Assert.assertTrue(yayRansom);\n Assert.assertFalse(failRansom);\n }\n}" }, { "path": "target_sum/README.md", "content": "Given an array of integers and a target integer `sum`, return whether there exist a pair of integers in the array which add up to `sum`.\n\nSee if you can come up with an O(n^2) solution first. Then—can you come up with an O(n log n) one?\n" }, { "path": "target_sum/solutions/.gitkeep", "content": "" }, { "path": "target_sum/solutions/solution.js", "content": "function canMakeSum(array, targetSum) {\n array.sort();\n\n var left = 0;\n var right = array.length - 1;\n\n while (left < right) {\n var currentSum = array[left] + array[right];\n if (currentSum < targetSum) {\n left++;\n } else if (currentSum > targetSum) {\n right--;\n } else {\n return true;\n }\n }\n\n return false;\n}\n\nconsole.log(canMakeSum([-1, -2, 5, 0], -1));\nconsole.log(canMakeSum([-1, -2, 5, 0], 6));\nconsole.log(canMakeSum([], 6));\n" }, { "path": "tree_zig_zag/.gitignore", "content": "_doc" }, { "path": "tree_zig_zag/HINTS.md", "content": "# Tree Zig Zag\n\n## Hints\n\n- How do you traverse a tree such that you visit all of a vertex's\n neighbors before visiting its neighbors' neighbors?\n- How do you keep track of whether to print out the left-most or\n right-most vertex?\n" }, { "path": "tree_zig_zag/README.md", "content": "# Tree Zig Zag\n\nGiven a tree with distinct elements, starting at the root, alternate\nbetween printing the left-most and then the right-most element at each\nlevel of the tree.\n\nFor example, given the following tree:\n\n 100\n .-' `-.\n .-' `-.\n 50 150\n / \\ \\\n / \\ \\\n 40 60 170\n \\ \\\n \\ \\\n 80 190\n\n\nThe answer is:\n\n 100\n 150\n 40\n 190\n\n## Input Format\n\nInput is passed into your program using standard input. Each line\ncontains three integers: `a`, `b`, and `c`, indicating that the left\nchild of `a` is `b` and the right child of `a` is `c`.\n\nThe root node is always passed in as `a` on the first line.\n\nIf the value of a child is `-1` this implies that the child is not\npresent.\n\nFor example, the following right-leaning tree:\n\n 200\n \\\n \\\n 300\n \\\n \\\n 400\n\nwould be represented as:\n\n 200 -1 300\n 300 -1 400\n\nand the following left-leaning tree:\n\n 200\n /\n /\n 300\n /\n /\n 400\n\nwould be represented as:\n\n 200 300 -1\n 300 400 -1\n\n## Output Format\n\nOutput is passed into standard output. Each line contains one\ninteger, which is the current vertex on the zig zag path.\n\n## Constraints\n\nEach vertex can be represented as an integer in the range [1,\n2147483647], i.e. can be stored as a signed 32-bit integer.\n\nRecall that a vertex value of -1 means that a particular child is not\npresent.\n\n## Examples\n\n### Example 1\n\nGiven a tree:\n\n 100\n .-' `-.\n .-' `-.\n 50 150\n / \\ \\\n / \\ \\\n 40 60 170\n \\ \\\n \\ \\\n 80 190\n\nthe input would be:\n\n 100 50 150\n 50 40 60\n 60 -1 80\n 150 -1 170\n 170 -1 190\n\nand the output would be:\n\n 100\n 150\n 40\n 190\n\n## Example 2\n\nGiven a tree:\n\n 200\n .-'\n .-'\n 100\n /\n /\n 50\n / \\\n / \\\n 60 75\n\nthe input would be:\n\n 200 100 -1\n 100 50 -1\n 50 60 75\n\nand the output would be:\n\n 200\n 100\n 50\n 75\n" }, { "path": "tree_zig_zag/SOLUTION.md", "content": "# Tree Zig Zag\n\n## Human-readable solution\n\nFirst you must read in the lines from standard input line-by-line and\nconstruct some data structure that represents the tree. One easy\nmethod is to represent each node using a distinct object that has\n`left` and `right` variables to other nodes etc.\n\nNext you must traverse the tree, from the root, level by level. A\nbreadth first search is ideal, as its maximum space complexity is the\nnumber of nodes in the given level. Using a queue with a sentinel node\nis the simplest method.\n\nThe pseudo-code is:\n\n current_level = []\n queue = [A, ]\n while queue is not empty:\n node = pop left most item from queue\n if node is :\n process the current level using the zig zag rules\n reset current_level = []\n if the queue is not empty:\n add a sentinel to the right of the queue\n else:\n add node to current_level\n if node has a left child:\n add node's left child to current_level\n if node has a right child:\n add node's right child to th current_level\n\nConsider an example tree:\n\n A\n / \\\n / \\\n B C\n /\n /\n D\n / \\\n / \\\n F E\n\nThe values for current_level and queue at each stage is:\n\n current_level = []\n queue = [A, ]\n\n current_level = [A]\n queue = [, B, C]\n\n # process [A]\n\n current_level = []\n queue = [B, C, ]\n\n current_level = [B]\n queue = [C, , D]\n\n current_level = [B, C]\n queue = [, D]\n\n # process [B, C]\n\n current_level = []\n queue = [D, ]\n\n current_level = [D]\n queue = [, F, E]\n\n # process [D]\n\n current_level = []\n queue = [F, E, ]\n\n current_level = [F]\n queue = [E, ]\n\n current_level = [F, E]\n queue = []\n\n # process [F, E]\n\n # end\n\nFinally, what does \"process\" entail? Use a boolean flag to track\nwhether we're looking for the left-most or right-most element right now.\nDepending on what the boolean flag's value is print index `0` or index\n`len(current_level) - 1`. Toggle the boolean flag each time we process\na level.\n\n\n" }, { "path": "tree_zig_zag/generator/generate_tree.py", "content": "#!/usr/bin/env python\n\n\"\"\"Create a random binary search tree (BST) with distinct elements.\n\nThe resulting BST is not necessarily balanced.\n\nOutput is sent to standard output as lines, each line with two\nintegers a and b, indicating that a is a parent of b. Children are\nadded left-to-right to their parents.\n\"\"\"\n\nimport random\nimport sys\n\n\nclass Node(object):\n __slots__ = ('value', 'left', 'right')\n\n def __init__(self, value):\n self.value = value\n self.left = None\n self.right = None\n\n def __str__(self):\n return str(self.value)\n\n def __repr__(self):\n return \"{value=%s}\" % self.value\n\n @property\n def children(self):\n return [self.left, self.right]\n\n def as_hackerrank_lines(self):\n if all(child is None for child in self.children):\n raise StopIteration\n child_values = map(lambda x: str(x) if x else \"-1\", self.children)\n yield \"%s %s\" % (self, \" \".join(child_values))\n for child in self.children:\n if child is not None:\n for line in child.as_hackerrank_lines():\n yield line\n\n\ndef generate_bst(size, min_value=1, max_value=2 ** 31 - 1):\n if size <= 0:\n return None\n if min_value >= (max_value - 1):\n return None\n if random.random() <= 0.5:\n # Both left and right children\n node = Node(min_value + (max_value - min_value) // 2)\n left_subtree_size = random.randint(0, size - 1)\n right_subtree_size = size - left_subtree_size - 1\n node.left = generate_bst(left_subtree_size, min_value, node.value)\n node.right = generate_bst(right_subtree_size, node.value, max_value)\n elif random.random() <= 0.5:\n # Only a left child\n node = Node(max_value - 1)\n node.left = generate_bst(size - 1, min_value, node.value)\n else:\n # Only a right child\n node = Node(min_value + 1)\n node.right = generate_bst(size - 1, node.value, max_value)\n assert(is_bst(node, min_value, max_value))\n return node\n\n\ndef is_bst(node, min_value=1, max_value=2 ** 31 - 1):\n if node is None:\n return True\n if node.value <= min_value or node.value >= max_value:\n return False\n return is_bst(node.left, min_value, node.value) and is_bst(node.right, node.value, max_value)\n\n\ndef main():\n random.seed(42)\n root = generate_bst(int(sys.argv[1]))\n for line in root.as_hackerrank_lines():\n print(line)\n\n\nif __name__ == \"__main__\":\n sys.exit(main())\n" }, { "path": "tree_zig_zag/solutions/TreeZigZag.java", "content": "import java.io.InputStream;\nimport java.util.ArrayDeque;\nimport java.util.ArrayList;\nimport java.util.Arrays;\nimport java.util.HashMap;\nimport java.util.List;\nimport java.util.Map;\nimport java.util.Queue;\nimport java.util.Scanner;\n\n\nclass Node {\n private T value;\n private Node left;\n private Node right;\n\n /**\n * An empty constructor is used only for creating sentinels, which\n * are useful in some algorithms. This is why a corresponding\n * setValue() is not provided.\n */\n Node() {\n }\n\n Node(T value) {\n this.value = value;\n }\n\n public void setLeft(Node left) { this.left = left; }\n public Node getLeft() { return this.left; }\n public void setRight(Node right) { this.right = right; }\n public Node getRight() { return this.right; }\n public T getValue() { return this.value; }\n\n @Override\n public String toString() {\n return String.format(\"{value=%s, left=%s, right=%s}\", value, left, right);\n }\n\n @Override\n public boolean equals(Object o) {\n if (this == o) return true;\n if (!(o instanceof Node)) return false;\n Node node = (Node)o;\n return this.value.equals(node.value);\n }\n\n @Override\n public int hashCode() {\n int result = 17;\n result = result * 31 + value.hashCode();\n return result;\n }\n}\n\n\nclass ZigZagTreeLevelSearch {\n private boolean isLeftMost;\n\n public void search(Node root) {\n List> currentLevel = new ArrayList>();\n isLeftMost = true;\n Node sentinel = new Node();\n Queue> queue = new ArrayDeque>();\n queue.add(root);\n queue.add(sentinel);\n while(!queue.isEmpty()) {\n Node current = queue.remove();\n if (current == sentinel) {\n processLevel(currentLevel);\n isLeftMost = !isLeftMost;\n currentLevel = new ArrayList>();\n if (!queue.isEmpty())\n queue.add(sentinel);\n } else {\n currentLevel.add(current);\n if (current.getLeft() != null)\n queue.add(current.getLeft());\n if (current.getRight() != null)\n queue.add(current.getRight());\n }\n }\n }\n\n public void processLevel(List> level) {\n int index = isLeftMost ? 0 : level.size() - 1;\n System.out.println(level.get(index).getValue());\n } \n}\n\n\nclass TreeReader {\n public Node getOrCreate(Integer value, Map, Node> map) {\n if (value.equals(-1))\n return null;\n Node key = new Node(value);\n Node node;\n if (map.containsKey(key)) {\n node = map.get(key);\n } else {\n node = key;\n map.put(key, key);\n }\n return node;\n }\n\n public Node readTree(InputStream in) {\n Map, Node> map = new HashMap, Node>();\n Node root = null;\n Scanner sc = new Scanner(in);\n while (sc.hasNextLine()) {\n Integer vertexValue = sc.nextInt();\n Integer leftValue = sc.nextInt();\n Integer rightValue = sc.nextInt();\n Node vertex = getOrCreate(vertexValue, map);\n Node left = getOrCreate(leftValue, map);\n Node right = getOrCreate(rightValue, map);\n vertex.setLeft(left);\n vertex.setRight(right);\n if (root == null)\n root = vertex;\n }\n return root;\n } \n}\n\n\nclass TreeZigZag {\n public static void main(String args[]) {\n TreeReader tr = new TreeReader();\n Node root = tr.readTree(System.in);\n ZigZagTreeLevelSearch searcher = new ZigZagTreeLevelSearch();\n searcher.search(root);\n }\n}\n" }, { "path": "tree_zig_zag/solutions/tree_zig_zag.py", "content": "#!/usr/bin/env python\n\nimport collections\nimport sys\n\n\nclass Node(object):\n __slots__ = ('value', 'left', 'right')\n\n def __init__(self, value):\n self.value = value\n self.left = None\n self.right = None\n\n def __hash__(self):\n return hash(self.value)\n\n def __eq__(self, other):\n if id(self) == id(other):\n return True\n return self.value == other.value\n\n def __str__(self):\n return \"{value=%s, left=%s, right=%s}\" % (self.value, self.left, self.right)\n\n def __repr__(self):\n return str(self.value)\n\n\nclass TreeReader(object):\n @classmethod\n def get_vertex(cls, value, vertices):\n if value == -1:\n return None\n key = Node(value)\n if key not in vertices:\n vertices[key] = key\n return vertices[key]\n\n @classmethod\n def read_tree(cls, stream):\n root = None\n vertices = {}\n for line in stream:\n (vertex_value, left_value, right_value) = map(int, line.split())\n vertex = cls.get_vertex(vertex_value, vertices)\n vertex.left = cls.get_vertex(left_value, vertices)\n vertex.right = cls.get_vertex(right_value, vertices)\n if root is None:\n root = vertex\n return root\n\n\ndef zig_zag_traverse(root):\n is_left_most = True\n current_level = []\n sentinel = Node(-1)\n queue = collections.deque([root, sentinel])\n while len(queue) != 0:\n node = queue.popleft()\n if node == sentinel:\n index = 0 if is_left_most else len(current_level) - 1\n print(current_level[index].value)\n current_level = []\n is_left_most = not is_left_most\n if len(queue) != 0:\n queue.append(sentinel)\n else:\n current_level.append(node)\n queue.extend(x for x in [node.left, node.right] if x)\n\n\ndef main():\n root = TreeReader.read_tree(sys.stdin)\n zig_zag_traverse(root)\n\n\nif __name__ == \"__main__\":\n sys.exit(main())\n" }, { "path": "tree_zig_zag/solutions/tree_zig_zag.rb", "content": "# Parse tree into lame adjacency hash thing\n@tree = Hash.new\n@root = 0\nARGF.each_line {|line|\n\tvalues = line.split(/\\s+/)\n\n\tif ARGF.lineno == 1\n\t\t@root = values[0].to_i\n\tend\n\n\t@tree[values[0].to_i] = [values[1].to_i, values[2].to_i]\n}\n\ndef find_val(side, depth)\n\tfind_val_r(side, depth, @root, 0)\nend\n\ndef find_val_r(side, depth, node, level)\n\tif level == depth && node != -1\n\t\tputs node\n\t\ttrue\n\telsif @tree[node].nil? || node == -1\n\t\tfalse\n\telse\n\t\tfind_val_r(side, depth, @tree[node][side], level + 1) ||\n\t\tfind_val_r(side, depth, @tree[node][side ^ 1], level + 1)\n\tend\nend\n\nside = 0\ndepth = 0\n\nwhile find_val(side, depth)\n\tside ^= 1\n\tdepth += 1\nend\n" }, { "path": "tree_zig_zag/tests/input1.txt", "content": "100 50 150\n50 40 60\n60 -1 80\n150 -1 170\n170 -1 190" }, { "path": "tree_zig_zag/tests/input2.txt", "content": "200 100 -1\n100 50 -1\n50 60 75" }, { "path": "tree_zig_zag/tests/input3.txt", "content": "1373158593 306503744 1482080420\n306503744 -1 1258151406\n1258151406 334860199 1362214919\n334860199 309342042 359360627\n309342042 308137681 -1\n308137681 307037840 309263342\n307037840 -1 308044173\n308044173 307855305 308099566\n307855305 307686280 -1\n307686280 307181796 307832145\n307181796 -1 307434951\n307434951 -1 307469499\n307469499 307469174 307519100\n307469174 307454655 -1\n307454655 307444365 307455576\n307444365 307441546 307448291\n307441546 307437154 307444242\n307437154 307435070 -1\n307435070 -1 307435404\n307435404 307435168 307436477\n307435168 -1 307435269\n307435269 -1 307435333\n307436477 307435594 307436729\n307444242 -1 307444290\n307444290 307444280 307444363\n307444280 307444277 307444284\n307444284 307444283 -1\n307444363 307444328 307444364\n307444328 307444297 307444362\n307448291 307444642 -1\n307444642 307444526 307444868\n307444526 307444426 307444562\n307444426 307444413 307444504\n307444413 307444383 307444424\n307444504 -1 307444514\n307444514 307444512 -1\n307444562 307444554 307444626\n307444554 307444530 -1\n307444626 -1 307444639\n307444868 -1 307447508\n307447508 307445698 -1\n307445698 307444909 307445926\n307444909 -1 307445147\n307445926 307445783 -1\n307455576 307455419 307465850\n307455419 -1 307455533\n307455533 307455457 307455559\n307455457 307455426 -1\n307455426 307455421 -1\n307455421 307455420 307455422\n307455422 -1 307455424\n307455559 -1 307455573\n307455573 307455562 -1\n307455562 -1 307455566\n307455566 307455563 -1\n307465850 307465019 307468335\n307465019 -1 307465473\n307465473 -1 307465776\n307465776 307465552 307465805\n307465552 307465527 307465577\n307465805 307465803 -1\n307465803 307465800 -1\n307468335 307466493 -1\n307466493 -1 307467654\n307467654 -1 307468151\n307468151 307467928 -1\n307467928 307467728 307468103\n307519100 307480807 -1\n307480807 307477870 307495583\n307477870 -1 307479034\n307479034 307478923 307479309\n307478923 307478052 -1\n307478052 307477961 307478884\n307477961 -1 307478028\n307478028 -1 307478038\n307478884 307478739 307478915\n307478739 307478063 307478792\n307478792 -1 307478812\n307478915 307478902 -1\n307479309 -1 307479401\n307479401 307479362 -1\n307479362 307479324 307479377\n307479324 307479315 307479351\n307479377 307479375 -1\n307495583 307488994 -1\n307488994 -1 307491422\n307491422 307490182 307492711\n307490182 307489166 307490870\n307489166 307489139 -1\n307489139 307489118 -1\n307490870 307490232 307490889\n307490232 307490185 307490650\n307490650 -1 307490783\n307490889 -1 307491012\n307492711 307491859 307494868\n307491859 307491806 307492554\n307491806 307491797 307491815\n307491815 307491813 -1\n307492554 307492396 307492600\n307494868 -1 307495127\n307495127 -1 307495149\n307495149 307495134 -1\n307832145 307815133 -1\n307815133 307772165 307825452\n307772165 307687968 307796724\n307687968 -1 307733761\n307733761 307720705 -1\n307720705 -1 307728944\n307728944 307722759 307733740\n307722759 307722316 -1\n307722316 307721321 307722538\n307721321 307720958 -1\n307720958 307720760 307721225\n307720760 307720731 307720795\n307721225 -1 307721282\n307722538 307722500 -1\n307722500 -1 307722515\n307722515 -1 307722530\n307722530 307722524 -1\n307733740 307732356 307733759\n307732356 307730414 -1\n307730414 -1 307730466\n307730466 307730448 307732015\n307730448 -1 307730459\n307732015 307730604 -1\n307733759 -1 307733760\n307796724 -1 307811083\n307811083 307798332 307813136\n307798332 -1 307807652\n307807652 -1 307810961\n307810961 -1 307811060\n307811060 -1 307811081\n307811081 307811063 -1\n307811063 307811062 -1\n307811062 307811061 -1\n307813136 307811438 307813224\n307811438 307811100 -1\n307811100 307811085 307811243\n307811085 -1 307811091\n307811091 307811086 307811092\n307811086 -1 307811089\n307811243 307811204 -1\n307811204 307811174 307811230\n307811174 -1 307811197\n307811230 -1 307811231\n307813224 -1 307813562\n307813562 307813308 307814647\n307813308 307813258 307813315\n307813258 307813241 -1\n307813315 307813309 307813403\n307813309 -1 307813310\n307814647 307813972 -1\n307813972 307813924 307814364\n307813924 -1 307813938\n307814364 -1 307814545\n307825452 -1 307828923\n307828923 -1 307830049\n307830049 307828952 307831526\n307828952 -1 307829416\n307829416 307829059 307829606\n307829059 307829016 307829069\n307829016 307828968 307829057\n307828968 307828956 307829011\n307828956 307828955 307828965\n307828955 307828953 -1\n307829011 307829007 307829013\n307829007 307829002 -1\n307829013 -1 307829014\n307829057 307829028 307829058\n307829028 -1 307829038\n307829038 307829030 307829053\n307829069 -1 307829261\n307829261 307829215 307829292\n307829215 307829144 307829222\n307829144 -1 307829201\n307829222 -1 307829260\n307829292 307829269 307829337\n307829269 307829262 -1\n307829606 307829550 -1\n307829550 307829526 307829560\n307829526 307829453 307829539\n307829453 -1 307829511\n307829539 -1 307829544\n307829544 -1 307829547\n307829560 -1 307829576\n307829576 307829564 307829600\n307829564 307829561 307829574\n307829600 307829582 -1\n307831526 307831477 307831641\n307831477 307830265 307831482\n307830265 307830075 307830610\n307830075 -1 307830163\n307830163 307830157 307830169\n307830157 307830141 307830161\n307830141 307830125 -1\n307830161 307830159 307830162\n307830169 -1 307830178\n307830178 307830171 307830235\n307830171 307830170 -1\n307830610 -1 307831152\n307831152 307830615 307831425\n307830615 -1 307830696\n307830696 307830683 307830863\n307831425 307831341 307831459\n307831459 307831448 -1\n307831482 307831479 -1\n307831479 307831478 307831481\n307831481 307831480 -1\n307831641 307831533 -1\n307831533 -1 307831640\n307831640 307831563 -1\n307831563 307831547 307831613\n307831547 -1 307831550\n307831550 307831548 -1\n307831548 -1 307831549\n307831613 -1 307831628\n307831628 307831625 307831637\n307831625 307831622 307831626\n307831637 -1 307831638\n308099566 308075637 308102312\n308075637 308068095 308099214\n308068095 308061345 308072823\n308061345 308055828 308062227\n308055828 308051665 308056814\n308051665 308045360 308055061\n308045360 308044291 -1\n308044291 308044185 308045309\n308044185 -1 308044288\n308044288 308044271 308044290\n308044271 308044197 308044276\n308044197 -1 308044213\n308044276 -1 308044282\n308044290 308044289 -1\n308045309 -1 308045341\n308045341 308045340 -1\n308045340 308045335 -1\n308045335 -1 308045338\n308055061 308052239 308055672\n308052239 -1 308053488\n308053488 308052891 -1\n308052891 308052476 -1\n308052476 308052261 308052847\n308052261 308052256 308052271\n308052847 -1 308052857\n308052857 308052852 -1\n308055672 -1 308055707\n308055707 308055692 308055711\n308055692 308055676 308055695\n308055676 308055675 308055689\n308055675 308055674 -1\n308055689 308055688 -1\n308055688 308055684 -1\n308055695 308055693 -1\n308055693 -1 308055694\n308055711 308055710 308055792\n308055710 308055709 -1\n308055709 308055708 -1\n308055792 308055740 308055819\n308055740 308055717 308055749\n308055819 -1 308055820\n308055820 -1 308055822\n308056814 308056200 -1\n308056200 -1 308056809\n308056809 308056264 308056813\n308056264 308056220 308056474\n308056220 -1 308056254\n308056254 308056221 -1\n308056474 308056428 308056490\n308056428 308056399 -1\n308056399 308056273 -1\n308056490 308056480 308056745\n308056813 308056812 -1\n308056812 308056810 -1\n308056810 -1 308056811\n308062227 308061387 308066246\n308061387 308061373 308062094\n308061373 308061367 -1\n308061367 308061360 308061370\n308061360 308061351 -1\n308061351 -1 308061353\n308061353 -1 308061354\n308061370 308061368 308061371\n308061368 -1 308061369\n308062094 -1 308062103\n308062103 308062099 308062160\n308062099 308062095 -1\n308062095 -1 308062097\n308062097 308062096 -1\n308062160 -1 308062186\n308062186 -1 308062190\n308062190 308062188 -1\n308062188 308062187 308062189\n308066246 308063130 -1\n308063130 308062811 308063958\n308062811 308062303 308062917\n308062303 308062294 308062475\n308062294 308062237 308062299\n308062237 308062229 308062246\n308062229 308062228 -1\n308062246 -1 308062276\n308062276 -1 308062285\n308062299 -1 308062300\n308062300 -1 308062302\n308062302 308062301 -1\n308062475 308062469 308062563\n308062469 -1 308062474\n308062474 308062470 -1\n308062563 308062508 308062763\n308062508 -1 308062558\n308062763 308062730 308062783\n308062917 308062833 308063107\n308062833 308062819 308062881\n308062819 308062812 308062831\n308062812 -1 308062816\n308062831 -1 308062832\n308062881 308062851 308062888\n308062888 308062884 -1\n308063107 308063063 -1\n308063063 -1 308063104\n308063104 308063078 308063106\n308063078 -1 308063088\n308063958 308063572 308064612\n308063572 308063545 -1\n308063545 -1 308063549\n308063549 308063547 308063559\n308063547 308063546 308063548\n308063559 -1 308063563\n308064612 -1 308065675\n308065675 308065565 -1\n308065565 -1 308065598\n308065598 308065588 308065672\n308065588 -1 308065590\n308072823 -1 308075610\n308075610 308074320 308075634\n308074320 308073103 308074322\n308073103 -1 308073285\n308073285 308073258 -1\n308073258 308073246 308073259\n308073246 308073188 308073257\n308073188 308073107 308073239\n308073107 308073106 -1\n308073239 308073215 308073242\n308073257 308073254 -1\n308073254 -1 308073256\n308073256 308073255 -1\n308073259 -1 308073270\n308073270 308073260 -1\n308073260 -1 308073269\n308073269 308073262 -1\n308073262 308073261 -1\n308074322 308074321 308075031\n308075031 308075000 308075467\n308075000 308074994 308075022\n308074994 308074681 308074999\n308074681 -1 308074749\n308074749 308074745 -1\n308074999 308074998 -1\n308074998 308074995 -1\n308075022 308075020 308075027\n308075020 -1 308075021\n308075027 308075024 308075029\n308075024 308075023 -1\n308075029 308075028 308075030\n308075467 308075271 308075542\n308075271 -1 308075393\n308075393 308075352 -1\n308075352 308075294 308075361\n308075542 308075538 308075589\n308075538 308075482 308075539\n308075539 -1 308075541\n308075589 308075575 308075592\n308075634 308075628 -1\n308075628 308075620 308075631\n308075620 308075611 308075625\n308075611 -1 308075616\n308075616 -1 308075618\n308075618 308075617 308075619\n308075625 308075622 308075626\n308075622 -1 308075624\n308075626 -1 308075627\n308075631 308075629 308075632\n308075629 -1 308075630\n308075632 -1 308075633\n308099214 308084877 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2137806318\n2137806318 2137806317 -1\n2137806323 -1 2137806324\n2137806402 2137806392 2137806810\n2137806392 2137806385 -1\n2137806385 -1 2137806388\n2137806388 -1 2137806389\n2137806810 -1 2137806831\n2137806831 2137806824 2137806837\n2137806824 2137806823 -1\n2137807616 -1 2137807645\n2137807645 2137807638 2137807649\n2137807638 2137807618 2137807639\n2137807618 2137807617 -1\n2137807639 -1 2137807642\n2137807642 2137807640 2137807644\n2137807649 -1 2137807663\n2137807663 2137807659 2137807668\n2137807668 2137807664 -1\n2137807952 2137807841 -1\n2137807841 2137807835 2137807860\n2137807835 2137807793 -1\n2137807793 2137807721 2137807795\n2137807721 2137807702 2137807761\n2137807702 2137807681 2137807716\n2137807681 -1 2137807695\n2137807716 2137807705 -1\n2137807761 2137807723 -1\n2137807723 -1 2137807759\n2137807759 2137807737 -1\n2137807795 2137807794 2137807822\n2137807822 -1 2137807827\n2137807827 2137807825 -1\n2137807860 2137807846 2137807878\n2137807846 2137807843 2137807850\n2137807843 2137807842 2137807845\n2137807845 2137807844 -1\n2137807850 2137807847 2137807853\n2137807847 -1 2137807848\n2137807848 -1 2137807849\n2137807853 2137807852 -1\n2137807852 2137807851 -1\n2137807878 2137807871 -1\n2137807871 2137807868 2137807876\n2137807868 2137807863 2137807870\n2137807876 -1 2137807877\n2137843057 -1 2137871150\n2137871150 2137860729 2137871980\n2137860729 2137849088 2137865542\n2137849088 -1 2137856739\n2137856739 -1 2137856891\n2137856891 2137856775 2137859750\n2137856775 2137856754 2137856869\n2137856754 2137856741 2137856763\n2137856741 2137856740 -1\n2137856763 2137856759 2137856768\n2137856759 -1 2137856762\n2137856869 -1 2137856886\n2137856886 2137856873 2137856889\n2137856889 -1 2137856890\n2137859750 2137858520 2137860097\n2137858520 2137857055 -1\n2137857055 2137856954 2137857881\n2137860097 -1 2137860576\n2137860576 2137860509 2137860706\n2137860509 2137860107 -1\n2137865542 2137864073 2137870298\n2137864073 2137862930 2137864368\n2137862930 2137861441 2137864014\n2137861441 -1 2137862740\n2137862740 2137862403 2137862927\n2137862403 -1 2137862517\n2137862927 2137862743 2137862928\n2137864014 -1 2137864065\n2137864065 -1 2137864066\n2137864066 -1 2137864067\n2137864067 -1 2137864068\n2137864368 2137864172 -1\n2137864172 2137864118 2137864261\n2137864118 -1 2137864170\n2137864170 2137864154 2137864171\n2137864154 -1 2137864156\n2137864261 2137864233 2137864288\n2137864233 2137864214 2137864252\n2137864214 -1 2137864219\n2137864288 -1 2137864290\n2137864290 2137864289 2137864323\n2137870298 2137867196 2137870567\n2137867196 2137866601 2137869218\n2137866601 -1 2137866791\n2137866791 2137866769 2137866829\n2137866769 2137866739 2137866784\n2137866739 2137866724 2137866760\n2137866724 -1 2137866734\n2137866784 2137866779 2137866787\n2137866829 2137866802 2137867075\n2137866802 2137866798 -1\n2137867075 -1 2137867122\n2137869218 2137868339 -1\n2137868339 2137867387 2137868536\n2137867387 -1 2137868256\n2137868256 2137868227 2137868286\n2137868536 2137868498 2137868763\n2137868498 -1 2137868532\n2137870567 2137870495 2137871118\n2137870495 -1 2137870496\n2137871118 2137870838 2137871146\n2137870838 2137870602 -1\n2137870602 2137870599 2137870740\n2137870740 -1 2137870793\n2137871146 2137871119 2137871148\n2137871148 2137871147 -1\n2137871980 2137871953 2137872492\n2137871953 2137871789 2137871977\n2137871789 2137871227 -1\n2137871227 2137871224 2137871229\n2137871224 2137871208 2137871225\n2137871208 2137871202 2137871219\n2137871202 2137871176 2137871207\n2137871176 2137871175 -1\n2137871219 2137871216 2137871223\n2137871225 -1 2137871226\n2137871229 2137871228 -1\n2137871977 -1 2137871978\n2137871978 -1 2137871979\n2137872492 2137872344 2137872825\n2137872344 -1 2137872366\n2137872366 2137872362 -1\n2137872362 2137872348 -1\n2137872348 2137872347 2137872360\n2137872360 2137872359 -1\n2137872825 2137872620 2137872983\n2137872620 2137872603 2137872800\n2137872603 2137872523 2137872615\n2137872523 -1 2137872569\n2137872569 2137872535 2137872589\n2137872535 2137872533 2137872555\n2137872589 2137872587 2137872602\n2137872602 2137872595 -1\n2137872615 2137872611 2137872618\n2137872611 2137872608 -1\n2137872608 2137872605 2137872609\n2137872618 -1 2137872619\n2137872800 -1 2137872806\n2137872806 2137872805 2137872824\n2137872805 2137872801 -1\n2137872801 -1 2137872803\n2137872803 2137872802 -1\n2137872824 2137872819 -1\n2137872819 2137872813 -1\n2137872813 2137872808 -1\n2137872983 2137872967 2137873003\n2137872967 2137872908 2137872973\n2137872908 2137872886 -1\n2137872886 -1 2137872902\n2137872902 2137872890 -1\n2137872973 2137872970 2137872981\n2137872970 2137872968 2137872972\n2137872972 2137872971 -1\n2137872981 2137872975 2137872982\n2137872975 2137872974 -1\n2137873003 2137872985 2137873018\n2137872985 2137872984 2137872991\n2137872991 -1 2137872996\n2137872996 2137872992 -1\n2137872992 -1 2137872993\n2137873018 2137873008 2137873066\n2137873008 -1 2137873016\n2137873016 -1 2137873017\n2137873066 2137873049 -1\n2137873049 2137873038 2137873059" }, { "path": "tree_zig_zag/tests/output1.txt", "content": "100\n150\n40\n190" }, { "path": "tree_zig_zag/tests/output2.txt", "content": "200\n100\n50\n75" }, { "path": "tree_zig_zag/tests/output3.txt", "content": "1373158593\n1482080420\n1258151406\n2132506379\n309342042\n2136322283\n307037840\n2137781232\n307855305\n2137795571\n307181796\n2137843057\n307469499\n2137871980\n307454655\n2137872825\n307441546\n2137873003\n307435070\n2137873066\n307435168\n2137873059\n307435333\n1464753463\n745666319" } ]