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Added notebook solving the following: HackerRank Maximizing XOR problem..
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@ -42,6 +42,7 @@ Continually updated IPython Notebooks containing coding problems and solutions (
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## Hacker Rank
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* [Utopian Tree](http://nbviewer.ipython.org/github/donnemartin/algorithms-data-structures/blob/master/hacker-rank/utopian-tree.ipynb)
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* [Maximizing XOR](http://nbviewer.ipython.org/github/donnemartin/algorithms-data-structures/blob/master/hacker-rank/maximizing-xor.ipynb)
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## License
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85
hacker-rank/maximizing-xor.ipynb
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85
hacker-rank/maximizing-xor.ipynb
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@ -0,0 +1,85 @@
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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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"## Problem: Maximizing XOR\n",
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"\n",
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"From HackerRank: https://www.hackerrank.com/challenges/maximizing-xor\n",
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"\n",
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"* [Algorithm](#Algorithm)\n",
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"* [Code](#Code)"
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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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"* Set max to 0\n",
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"* For i in the range (lower, upper) inclusive\n",
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" * For j in the range (lower, upper) inclusive\n",
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" * Compare i ^ j with max, update max if needed\n",
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"* return max\n",
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"\n",
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"Complexity:\n",
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"* Time: O(n^2)\n",
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"* Space: O(1)"
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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": 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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"def max_xor(lower, upper):\n",
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" result = 0\n",
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" for l in xrange(lower, upper + 1):\n",
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" for u in xrange(lower, upper + 1):\n",
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" curr = l ^ u\n",
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" if result < curr:\n",
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" result = curr\n",
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" return result\n",
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"\n",
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"lower = int(raw_input());\n",
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"upper = int(raw_input());\n",
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"\n",
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"result = max_xor(lower, upper);\n",
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"print(result)"
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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": "2.7.9"
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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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