diff --git a/online_judges/mult_other_numbers/__init__.py b/online_judges/mult_other_numbers/__init__.py new file mode 100644 index 0000000..e69de29 diff --git a/online_judges/mult_other_numbers/mult_other_numbers_challenge.ipynb b/online_judges/mult_other_numbers/mult_other_numbers_challenge.ipynb new file mode 100644 index 0000000..020b44c --- /dev/null +++ b/online_judges/mult_other_numbers/mult_other_numbers_challenge.ipynb @@ -0,0 +1,172 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This notebook was prepared by [Donne Martin](https://github.com/donnemartin). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Challenge Notebook" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Problem: Given a list of ints, find the products of every other int for each index.\n", + "\n", + "* [Constraints](#Constraints)\n", + "* [Test Cases](#Test-Cases)\n", + "* [Algorithm](#Algorithm)\n", + "* [Code](#Code)\n", + "* [Unit Test](#Unit-Test)\n", + "* [Solution Notebook](#Solution-Notebook)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Constraints\n", + "\n", + "* Can we use division?\n", + " * No\n", + "* Is the output a list of ints?\n", + " * Yes\n", + "* Can we assume the inputs are valid?\n", + " * No\n", + "* Can we assume this fits memory?\n", + " * Yes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Test Cases\n", + "\n", + "
\n",
+    "* None -> TypeError\n",
+    "* [] -> []\n",
+    "* [0] -> []\n",
+    "* [0, 1] -> [1, 0]\n",
+    "* [0, 1, 2] -> [2, 0, 0]\n",
+    "* [1, 2, 3, 4] -> [24, 12, 8, 6]\n",
+    "
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Algorithm\n", + "\n", + "Refer to the [Solution Notebook](). If you are stuck and need a hint, the solution notebook's algorithm discussion might be a good place to start." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Code" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "class Solution(object):\n", + "\n", + " def mult_other_numbers(self, array):\n", + " # TODO: Implement me\n", + " pass" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Unit Test" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**The following unit test is expected to fail until you solve the challenge.**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# %load test_mult_other_numbers.py\n", + "from nose.tools import assert_equal, assert_raises\n", + "\n", + "\n", + "class TestMultOtherNumbers(object):\n", + "\n", + " def test_mult_other_numbers(self):\n", + " solution = Solution()\n", + " assert_raises(TypeError, solution.mult_other_numbers, None)\n", + " assert_equal(solution.mult_other_numbers([0]), [])\n", + " assert_equal(solution.mult_other_numbers([0, 1]), [1, 0])\n", + " assert_equal(solution.mult_other_numbers([0, 1, 2]), [2, 0, 0])\n", + " assert_equal(solution.mult_other_numbers([1, 2, 3, 4]), [24, 12, 8, 6])\n", + " print('Success: test_mult_other_numbers')\n", + "\n", + "\n", + "def main():\n", + " test = TestMultOtherNumbers()\n", + " test.test_mult_other_numbers()\n", + "\n", + "\n", + "if __name__ == '__main__':\n", + " main()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Solution Notebook\n", + "\n", + "Review the [Solution Notebook]() for a discussion on algorithms and code solutions." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.0" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/online_judges/mult_other_numbers/mult_other_numbers_solution.ipynb b/online_judges/mult_other_numbers/mult_other_numbers_solution.ipynb new file mode 100644 index 0000000..74d857c --- /dev/null +++ b/online_judges/mult_other_numbers/mult_other_numbers_solution.ipynb @@ -0,0 +1,265 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This notebook was prepared by [Donne Martin](https://github.com/donnemartin). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Solution Notebook" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Problem: Given a list of ints, find the products of every other int for each index.\n", + "\n", + "* [Constraints](#Constraints)\n", + "* [Test Cases](#Test-Cases)\n", + "* [Algorithm](#Algorithm)\n", + "* [Code](#Code)\n", + "* [Unit Test](#Unit-Test)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Constraints\n", + "\n", + "* Can we use division?\n", + " * No\n", + "* Is the output a list of ints?\n", + " * Yes\n", + "* Can we assume the inputs are valid?\n", + " * No\n", + "* Can we assume this fits memory?\n", + " * Yes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Test Cases\n", + "\n", + "
\n",
+    "* None -> TypeError\n",
+    "* [] -> []\n",
+    "* [0] -> []\n",
+    "* [0, 1] -> [1, 0]\n",
+    "* [0, 1, 2] -> [2, 0, 0]\n",
+    "* [1, 2, 3, 4] -> [24, 12, 8, 6]\n",
+    "
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Algorithm\n", + "\n", + "### Brute force:\n", + "\n", + "
\n",
+    "sum = 1\n",
+    " |\n",
+    "[1, 2, 3, 4]\n",
+    " ^\n",
+    "skip if both pointers are pointing to the same spot\n",
+    "    |\n",
+    "[1, 2, 3, 4]\n",
+    " ^\n",
+    "sum *= 2\n",
+    "       |\n",
+    "[1, 2, 3, 4]\n",
+    " ^\n",
+    "sum *= 3\n",
+    "          |\n",
+    "[1, 2, 3, 4]\n",
+    " ^\n",
+    "sum *= 4\n",
+    "results.append(sum)\n",
+    "results = [24]\n",
+    "\n",
+    "repeat for every element in the input list to obtain:\n",
+    "\n",
+    "[24, 12, 8, 6]\n",
+    " \n",
+    "
\n", + "\n", + "Complexity:\n", + "* Time: O(n^2)\n", + "* Space: O(n)\n", + "\n", + "### Greedy\n", + "\n", + "
\n",
+    "input  = [1, 2, 3, 4]\n",
+    "result = [2*3*4, 1*3*4, 1*2*4, 1*2*3]\n",
+    "\n",
+    "Note we are duplicating multiplications with the brute force approach.\n",
+    "\n",
+    "We'll calculate all products before an index, and all products after an index.\n",
+    "We'll then multiple these two together to form the result.\n",
+    "\n",
+    "input  = [1,         2,     3,     4]\n",
+    "before = [1,         1,   1*2, 1*2*3]\n",
+    "after  = [2*3*4, 1*3*4, 1*2*4,     1]\n",
+    "result = [   24,    12,     8,     6] \n",
+    "
\n", + "\n", + "Complexity:\n", + "* Time: O(n)\n", + "* Space: O(n)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Code" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "class Solution(object):\n", + "\n", + " def mult_other_numbers_brute(self, array):\n", + " if array is None:\n", + " raise TypeError('array cannot be None')\n", + " if not array:\n", + " return array\n", + " if len(array) == 1:\n", + " return []\n", + " result = []\n", + " for i in range(len(array)):\n", + " curr_sum = 1\n", + " for j in range(len(array)):\n", + " if i == j:\n", + " continue\n", + " curr_sum *= array[j]\n", + " result.append(curr_sum)\n", + " return result\n", + "\n", + " def mult_other_numbers(self, array):\n", + " if array is None:\n", + " raise TypeError('array cannot be None')\n", + " if not array:\n", + " return array\n", + " if len(array) == 1:\n", + " return []\n", + " result = [None] * len(array)\n", + " curr_product = 1\n", + " for i in range(len(array)):\n", + " result[i] = curr_product\n", + " curr_product *= array[i]\n", + " curr_product = 1\n", + " for i in range(len(array))[::-1]:\n", + " result[i] *= curr_product\n", + " curr_product *= array[i]\n", + " return result" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Unit Test" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Overwriting test_mult_other_numbers.py\n" + ] + } + ], + "source": [ + "%%writefile test_mult_other_numbers.py\n", + "from nose.tools import assert_equal, assert_raises\n", + "\n", + "\n", + "class TestMultOtherNumbers(object):\n", + "\n", + " def test_mult_other_numbers(self):\n", + " solution = Solution()\n", + " assert_raises(TypeError, solution.mult_other_numbers, None)\n", + " assert_equal(solution.mult_other_numbers([0]), [])\n", + " assert_equal(solution.mult_other_numbers([0, 1]), [1, 0])\n", + " assert_equal(solution.mult_other_numbers([0, 1, 2]), [2, 0, 0])\n", + " assert_equal(solution.mult_other_numbers([1, 2, 3, 4]), [24, 12, 8, 6])\n", + " print('Success: test_mult_other_numbers')\n", + "\n", + "\n", + "def main():\n", + " test = TestMultOtherNumbers()\n", + " test.test_mult_other_numbers()\n", + "\n", + "\n", + "if __name__ == '__main__':\n", + " main()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Success: test_mult_other_numbers\n" + ] + } + ], + "source": [ + "%run -i test_mult_other_numbers.py" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.0" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/online_judges/mult_other_numbers/test_mult_other_numbers.py b/online_judges/mult_other_numbers/test_mult_other_numbers.py new file mode 100644 index 0000000..c1c5cca --- /dev/null +++ b/online_judges/mult_other_numbers/test_mult_other_numbers.py @@ -0,0 +1,22 @@ +from nose.tools import assert_equal, assert_raises + + +class TestMultOtherNumbers(object): + + def test_mult_other_numbers(self): + solution = Solution() + assert_raises(TypeError, solution.mult_other_numbers, None) + assert_equal(solution.mult_other_numbers([0]), []) + assert_equal(solution.mult_other_numbers([0, 1]), [1, 0]) + assert_equal(solution.mult_other_numbers([0, 1, 2]), [2, 0, 0]) + assert_equal(solution.mult_other_numbers([1, 2, 3, 4]), [24, 12, 8, 6]) + print('Success: test_mult_other_numbers') + + +def main(): + test = TestMultOtherNumbers() + test.test_mult_other_numbers() + + +if __name__ == '__main__': + main() \ No newline at end of file