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https://github.com/donnemartin/interactive-coding-challenges
synced 2026-01-05 17:08:02 +00:00
Renamed top-level folders to use underscores instead of dashes.
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arrays_strings/rotation/__init__.py
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arrays_strings/rotation/__init__.py
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arrays_strings/rotation/rotation.ipynb
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arrays_strings/rotation/rotation.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://bit.ly/code-notes).</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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"## Problem: Determine if a string s1 is a rotation of another string s2. Also write a function is_substring which you can only call once to determine whether a rotation occurs\n",
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"\n",
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"* [Constraints and Assumptions](#Constraints-and-Assumptions)\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)"
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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 and Assumptions\n",
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"\n",
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"*Problem statements are often intentionally 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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"* Can I assume the string is ASCII?\n",
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" * Yes\n",
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" * Note: Unicode strings could require special handling depending on your language\n",
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"* Can you use additional data structures? \n",
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" * Yes\n",
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"* Is this case sensitive?\n",
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" * Yes"
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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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"* Any strings that differ in size results in False\n",
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"* NULL, 'foo' -> False (any NULL results in False)\n",
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"* ' ', 'foo' -> False\n",
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"* ' ', ' ' -> True\n",
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"* 'foobarbaz', 'barbazfoo' -> True"
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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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"Using the following test case:\n",
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"* s1 = 'barbazfoo'\n",
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"* s2 = 'foobarbaz'\n",
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"\n",
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"We see that if we can use the given is_substring method if we take compare s2 with s1 + s1:\n",
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"* s2 = 'foobarbaz'\n",
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"* s3 = 'barbaz*foobarbaz*foo'\n",
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"\n",
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"Complexity:\n",
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"* Time: O(n)\n",
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"* Space: O(2n) of additional space for s3, which reduces to O(n)"
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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": 1,
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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 is_substring(s1, s2):\n",
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" return s1 in s2\n",
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"\n",
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"def is_rotation(s1, s2):\n",
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" if s1 is None or s2 is None:\n",
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" return False\n",
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" if len(s1) != len(s2):\n",
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" return False\n",
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" s3 = s1 + s1\n",
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" return is_substring(s2, s3)"
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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"
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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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"*It is important to identify and run through general and edge cases from the [Test Cases](#Test-Cases) section by hand. You generally will not be asked to write a unit test like what is shown below.*"
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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": 2,
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"metadata": {
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"collapsed": false
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},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"Success: test_is_rotation\n"
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]
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}
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],
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"source": [
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"from nose.tools import assert_equal\n",
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"\n",
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"class Test(object):\n",
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" def test_is_rotation(self, func):\n",
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" assert_equal(func('o', 'oo'), False)\n",
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" assert_equal(func(None, 'foo'), False)\n",
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" assert_equal(func('', 'foo'), False)\n",
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" assert_equal(func('', ''), True)\n",
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" assert_equal(func('foobarbaz', 'barbazfoo'), True)\n",
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" print('Success: test_is_rotation')\n",
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"\n",
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"if __name__ == '__main__':\n",
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" test = Test()\n",
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" test.test_is_rotation(is_rotation)"
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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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