Renamed coinchange to coin_change.

recursion_dynamic/coin_change_ways/coin_change_ways_challenge.ipynb

@@ -0,0 +1,164 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "<small><i>This notebook was prepared by [mrb00l34n](http://github.com/mrb00l34n). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges).</i></small>"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "# Challenge Notebook"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Problem: Counting Ways of Making Change\n",
+    "\n",
+    "* [Explanation](#Explanation)\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": [
+    "## Explanation\n",
+    "\n",
+    "How many ways are there of making change for n, given an array of distinct coins? For example:\n",
+    "\n",
+    "Input: n = 4, coins = [1, 2]\n",
+    "\n",
+    "Output: 3. 1+1+1+1, 1+2+1, 2+2, would be the ways of making change.\n",
+    "\n",
+    "Note that a coin can be used any number of times, and we are counting unique combinations."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Test Cases\n",
+    "\n",
+    "* Input: n = 0, coins = [1, 2] -> Output: 0\n",
+    "* Input: n = 100, coins = [1, 2, 3] -> Output: 884\n",
+    "* Input: n = 1000, coins = [1, 2, 3...99, 100] -> Output: 15658181104580771094597751280645\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Algorithm\n",
+    "\n",
+    "Refer to the [Solution Notebook](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/recursion_dynamic/coin_change_ways/coin_change_ways_solution.ipynb).  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": [
+    "def change_ways(n, coins):\n",
+    "    # TODO: Implement me\n",
+    "    return n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Unit Test\n",
+    "\n",
+    "\n",
+    "\n",
+    "**The following unit test is expected to fail until you solve the challenge.**"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {
+    "collapsed": false
+   },
+   "outputs": [
+    {
+     "name":"stdout",
+     "text":[],
+     "output_type": "stream"
+    }
+   ],
+   "source": [
+    "# %load test_coin_change_ways.py\n",
+    "from nose.tools import assert_equal\n",
+    "\n",
+    "\n",
+    "class Challenge(object):\n",
+    "\n",
+    "    def test_coin_change_ways(self,solution):\n",
+    "        assert_equal(solution(0, [1, 2]), 0)\n",
+    "        assert_equal(solution(100, [1, 2, 3]), 884)\n",
+    "        assert_equal(solution(1000, range(1, 101)), 15658181104580771094597751280645)\n",
+    "        print('Success: test_coin_change_ways')\n",
+    "\n",
+    "\n",
+    "def main():\n",
+    "    test = Challenge()\n",
+    "    test.test_coin_change_ways(change_ways)\n",
+    "\n",
+    "\n",
+    "if __name__ == '__main__':\n",
+    "    main()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Solution Notebook\n",
+    "\n",
+    "Review the [Solution Notebook](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/recursion_dynamic/coin_change_ways/coin_change_ways_solution.ipynb) for a discussion on algorithms and code solutions."
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 2",
+   "language": "python",
+   "name": "python2"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 2
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython2",
+   "version": "2.7.6"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 0
+}