diff --git a/online_judges/prod_three/__init__.py b/online_judges/prod_three/__init__.py new file mode 100644 index 0000000..e69de29 diff --git a/online_judges/prod_three/prod_three_challenge.ipynb b/online_judges/prod_three/prod_three_challenge.ipynb new file mode 100644 index 0000000..3c5f157 --- /dev/null +++ b/online_judges/prod_three/prod_three_challenge.ipynb @@ -0,0 +1,171 @@ +{ + "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: Find the highest product of three numbers in a list.\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", + "* Is the input a list of integers?\n", + " * Yes\n", + "* Can we get negative inputs?\n", + " * Yes\n", + "* Can there be duplicate entires in the input?\n", + " * Yes\n", + "* Will there always be at least three integers?\n", + " * No\n", + "* Can we assume the inputs are valid?\n", + " * No, check for None input\n", + "* Can we assume this fits memory?\n", + " * Yes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Test Cases\n", + "\n", + "* None -> TypeError\n", + "* Less than three ints -> ValueError\n", + "* [5, -2, 3] -> -30\n", + "* [5, -2, 3, 1, -1, 4] -> 60" + ] + }, + { + "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 max_prod_three(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_prod_three.py\n", + "from nose.tools import assert_equal, assert_raises\n", + "\n", + "\n", + "class TestProdThree(object):\n", + "\n", + " def test_prod_three(self):\n", + " solution = Solution()\n", + " assert_raises(TypeError, solution.max_prod_three, None)\n", + " assert_raises(ValueError, solution.max_prod_three, [1, 2])\n", + " assert_equal(solution.max_prod_three([5, -2, 3]), -30)\n", + " assert_equal(solution.max_prod_three([5, -2, 3, 1, -1, 4]), 60)\n", + " print('Success: test_prod_three')\n", + "\n", + "\n", + "def main():\n", + " test = TestProdThree()\n", + " test.test_prod_three()\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/prod_three/prod_three_solution.ipynb b/online_judges/prod_three/prod_three_solution.ipynb new file mode 100644 index 0000000..e79c333 --- /dev/null +++ b/online_judges/prod_three/prod_three_solution.ipynb @@ -0,0 +1,279 @@ +{ + "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: Find the highest product of three numbers in a list.\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", + "* Is the input a list of integers?\n", + " * Yes\n", + "* Can we get negative inputs?\n", + " * Yes\n", + "* Can there be duplicate entires in the input?\n", + " * Yes\n", + "* Will there always be at least three integers?\n", + " * No\n", + "* Can we assume the inputs are valid?\n", + " * No, check for None input\n", + "* Can we assume this fits memory?\n", + " * Yes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Test Cases\n", + "\n", + "* None -> TypeError\n", + "* Less than three ints -> ValueError\n", + "* [5, -2, 3] -> -30\n", + "* [5, -2, 3, 1, -1, 4] -> 60" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Algorithm\n", + "\n", + "### Brute force:\n", + "\n", + "Use three loops and multiple each numbers.\n", + "\n", + "Complexity:\n", + "* Time: O(n^3)\n", + "* Space: O(1)\n", + "\n", + "### Sorting:\n", + "\n", + "Sort the list, multiply the last three elements.\n", + "\n", + "Complexity:\n", + "* Time: O(n log(n))\n", + "* Space: O(1)\n", + "\n", + "### Greedy:\n", + "\n", + "
\n", + " 0 1 2 3 4 5\n", + "[5, -2, 3, 1, -1, 4] -> 60\n", + "\n", + "max_prod_of_three = -30\n", + "max_prod_of_two = -10\n", + "max_num = 5\n", + "min_prod_of_two = -10\n", + "min_num = -2\n", + "\n", + " 0 1 2 3 4 5\n", + "[5, -2, 3, 1, -1, 4] -> 60\n", + " ^\n", + "max_prod_of_three = -30\n", + "max_prod_of_two = 15\n", + "max_num = 5\n", + "min_prod_of_two = -10\n", + "min_num = -2\n", + "\n", + " 0 1 2 3 4 5\n", + "[5, -2, 3, 1, -1, 4] -> 60\n", + " ^\n", + "max_prod_of_three = 15\n", + "max_prod_of_two = 15\n", + "max_num = 5\n", + "min_prod_of_two = -10\n", + "min_num = -2\n", + "\n", + " 0 1 2 3 4 5\n", + "[5, -2, 3, 1, -1, 4] -> 60\n", + " ^\n", + "max_prod_of_three = 15\n", + "max_prod_of_two = 15\n", + "max_num = 5\n", + "min_prod_of_two = -10\n", + "min_num = -2\n", + "\n", + " 0 1 2 3 4 5\n", + "[5, -2, 3, 1, -1, 4] -> 60\n", + " ^\n", + "max_prod_of_three = 60\n", + "max_prod_of_two = 15\n", + "max_num = 5\n", + "min_prod_of_two = -10\n", + "min_num = -2\n", + "\n", + "\n", + "Complexity:\n", + "* Time: O(n)\n", + "* Space: O(1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Code" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "class Solution(object):\n", + "\n", + " def max_prod_three_nlogn(self, array):\n", + " if array is None:\n", + " raise TypeError('array cannot be None')\n", + " if len(array) < 3:\n", + " raise ValueError('array must have 3 or more ints')\n", + " array.sort()\n", + " product = 1\n", + " for item in array[-3:]:\n", + " product *= item\n", + " return product\n", + "\n", + " def max_prod_three(self, array):\n", + " if array is None:\n", + " raise TypeError('array cannot be None')\n", + " if len(array) < 3:\n", + " raise ValueError('array must have 3 or more ints')\n", + " curr_max_prod_three = array[0] * array[1] * array[2]\n", + " max_prod_two = array[0] * array[1]\n", + " min_prod_two = array[0] * array[1]\n", + " max_num = max(array[0], array[1])\n", + " min_num = min(array[0], array[1])\n", + " for i in range(2, len(array)):\n", + " curr_max_prod_three = max(curr_max_prod_three,\n", + " max_prod_two * array[i],\n", + " min_prod_two * array[i])\n", + " max_prod_two = max(max_prod_two,\n", + " max_num * array[i],\n", + " min_num * array[i])\n", + " min_prod_two = min(min_prod_two,\n", + " max_num * array[i],\n", + " min_num * array[i])\n", + " max_num = max(max_num, array[i])\n", + " min_num = min(min_num, array[i])\n", + " return curr_max_prod_three" + ] + }, + { + "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_prod_three.py\n" + ] + } + ], + "source": [ + "%%writefile test_prod_three.py\n", + "from nose.tools import assert_equal, assert_raises\n", + "\n", + "\n", + "class TestProdThree(object):\n", + "\n", + " def test_prod_three(self):\n", + " solution = Solution()\n", + " assert_raises(TypeError, solution.max_prod_three, None)\n", + " assert_raises(ValueError, solution.max_prod_three, [1, 2])\n", + " assert_equal(solution.max_prod_three([5, -2, 3]), -30)\n", + " assert_equal(solution.max_prod_three([5, -2, 3, 1, -1, 4]), 60)\n", + " print('Success: test_prod_three')\n", + "\n", + "\n", + "def main():\n", + " test = TestProdThree()\n", + " test.test_prod_three()\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_prod_three\n" + ] + } + ], + "source": [ + "%run -i test_prod_three.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": "3.4.3" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/online_judges/prod_three/test_prod_three.py b/online_judges/prod_three/test_prod_three.py new file mode 100644 index 0000000..bbe5ccd --- /dev/null +++ b/online_judges/prod_three/test_prod_three.py @@ -0,0 +1,21 @@ +from nose.tools import assert_equal, assert_raises + + +class TestProdThree(object): + + def test_prod_three(self): + solution = Solution() + assert_raises(TypeError, solution.max_prod_three, None) + assert_raises(ValueError, solution.max_prod_three, [1, 2]) + assert_equal(solution.max_prod_three([5, -2, 3]), -30) + assert_equal(solution.max_prod_three([5, -2, 3, 1, -1, 4]), 60) + print('Success: test_prod_three') + + +def main(): + test = TestProdThree() + test.test_prod_three() + + +if __name__ == '__main__': + main() \ No newline at end of file