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https://github.com/donnemartin/interactive-coding-challenges
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Renamed HackerRank and TopCoder section to Online Judges.
This commit is contained in:
160
online_judges/utopian_tree/utopian_tree_challenge.ipynb
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160
online_judges/utopian_tree/utopian_tree_challenge.ipynb
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{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<small><i>This notebook was prepared by [Donne Martin](http://donnemartin.com). Source and license info is on [GitHub](https://github.com/donnemartin/coding-challenges).</i></small>"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Challenge Notebook"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Problem: Utopian Tree\n",
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"\n",
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"See the [HackerRank problem page](https://www.hackerrank.com/challenges/utopian-tree).\n",
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"\n",
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"* [Constraints](#Constraints)\n",
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"* [Test Cases](#Test-Cases)\n",
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"* [Algorithm](#Algorithm)\n",
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"* [Code](#Code)\n",
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"* [Unit Test](#Unit-Test)\n",
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"* [Solution Notebook](#Solution-Notebook)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Constraints\n",
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"\n",
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"*Problem statements are sometimes ambiguous. Identifying constraints and stating assumptions can help to ensure you code the intended solution.*\n",
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"\n",
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"See the [HackerRank problem page](https://www.hackerrank.com/challenges/utopian-tree)."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Test Cases\n",
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"\n",
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"See the [HackerRank problem page](https://www.hackerrank.com/challenges/utopian-tree)."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Algorithm\n",
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"\n",
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"Refer to the [Solution Notebook](http://nbviewer.ipython.org/github/donnemartin/coding-challenges/blob/master/hackerrank_topcoder/utopian_tree/utopian_tree_solution.ipynb). If you are stuck and need a hint, the solution notebook's algorithm discussion might be a good place to start."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Code"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"# cycles = 0, print 1: base case\n",
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"# cycles = 1, print 2: i = 1: 1 * 2\n",
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"# cycles = 4, print 7: i = 1: 1 * 2, i = 2: 2 + 1, i = 3: 3 * 2, i = 4: 6 + 1\n",
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"def calc_utopian_tree_height(cycles):\n",
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" height = 1\n",
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" if cycles == 0:\n",
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" return height\n",
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" for i in xrange(1, cycles+1):\n",
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" if i % 2 == 1:\n",
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" height *= 2\n",
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" else:\n",
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" height += 1\n",
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" return height"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Unit Test\n",
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"\n",
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"**The following unit test is expected to fail until you solve the challenge.**"
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]
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},
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{
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"cell_type": "code",
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"execution_count": null,
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"metadata": {
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"collapsed": false
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},
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"outputs": [],
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"source": [
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"# %load test_utopian_tree.py\n",
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"from nose.tools import assert_equal\n",
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"\n",
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"\n",
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"class TestUtopianTree(object):\n",
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"\n",
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" def test_utopian_tree(self):\n",
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" assert_equal(calc_utopian_tree_height(0), 1)\n",
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" assert_equal(calc_utopian_tree_height(1), 2)\n",
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" assert_equal(calc_utopian_tree_height(4), 7)\n",
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" print('Success: test_utopian_tree')\n",
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"\n",
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"def main():\n",
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" test = TestUtopianTree()\n",
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" test.test_utopian_tree()\n",
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"\n",
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"if __name__ == '__main__':\n",
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" main()"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Solution Notebook\n",
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"\n",
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"Review the [Solution Notebook](http://nbviewer.ipython.org/github/donnemartin/coding-challenges/blob/master/hackerrank_topcoder/utopian_tree/utopian_tree_solution.ipynb) for a discussion on algorithms and code solutions."
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]
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}
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],
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"metadata": {
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"kernelspec": {
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"display_name": "Python 2",
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"language": "python",
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"name": "python2"
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},
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"language_info": {
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"codemirror_mode": {
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"name": "ipython",
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"version": 2
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},
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"file_extension": ".py",
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"mimetype": "text/x-python",
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"name": "python",
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"nbconvert_exporter": "python",
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"pygments_lexer": "ipython2",
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"version": "2.7.10"
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}
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},
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"nbformat": 4,
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"nbformat_minor": 0
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}
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