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"source": [
"<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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"## Problem: Determine if a string s1 is a rotation of another string s2, by calling (only once) a function is_substring\n",
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"\n",
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"* [Constraints](#Constraints)\n",
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"* [Test Cases](#Test-Cases)\n",
"* [Algorithm](#Algorithm)\n",
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"* [Code](#Code)\n",
"* [Unit Test](#Unit-Test)"
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]
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"cell_type": "markdown",
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"## Constraints\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",
"* Can I assume the string is ASCII?\n",
" * Yes\n",
" * Note: Unicode strings could require special handling depending on your language\n",
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"* Can you use additional data structures? \n",
" * Yes\n",
"* Is this case sensitive?\n",
" * Yes"
]
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"source": [
"## Test Cases\n",
"\n",
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"* Any strings that differ in size -> False\n",
"* None, 'foo' -> False (any None results in False)\n",
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"* ' ', 'foo' -> False\n",
"* ' ', ' ' -> True\n",
"* 'foobarbaz', 'barbazfoo' -> True"
]
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"## Algorithm\n",
"\n",
"Using the following test case:\n",
"* s1 = 'barbazfoo'\n",
"* s2 = 'foobarbaz'\n",
"\n",
"We see that if we can use the given is_substring method if we take compare s2 with s1 + s1:\n",
"* s2 = 'foobarbaz'\n",
"* s3 = 'barbaz*foobarbaz*foo'\n",
"\n",
"Complexity:\n",
"* Time: O(n)\n",
"* Space: O(2n) of additional space for s3, which reduces to O(n)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Code"
]
},
{
"cell_type": "code",
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"execution_count": 1,
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"metadata": {
"collapsed": false
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"outputs": [],
"source": [
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"def is_substring(s1, s2): \n",
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" return s1 in s2\n",
"\n",
"def is_rotation(s1, s2):\n",
" if s1 is None or s2 is None:\n",
" return False\n",
" if len(s1) != len(s2):\n",
" return False\n",
" s3 = s1 + s1\n",
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" return is_substring(s2, s3)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Unit Test"
]
},
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{
"cell_type": "markdown",
"metadata": {},
"source": [
"*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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"execution_count": 2,
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"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
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"Overwriting test_rotation.py\n"
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]
}
],
"source": [
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"%%writefile test_rotation.py\n",
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"from nose.tools import assert_equal\n",
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"\n",
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"\n",
"class TestRotation(object):\n",
" \n",
" def test_rotation(self):\n",
" assert_equal(is_rotation('o', 'oo'), False)\n",
" assert_equal(is_rotation(None, 'foo'), False)\n",
" assert_equal(is_rotation('', 'foo'), False)\n",
" assert_equal(is_rotation('', ''), True)\n",
" assert_equal(is_rotation('foobarbaz', 'barbazfoo'), True)\n",
" print('Success: test_rotation')\n",
"\n",
"def main():\n",
" test = TestRotation()\n",
" test.test_rotation()\n",
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"\n",
"if __name__ == '__main__':\n",
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" main()"
]
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {
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"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Success: test_rotation\n"
]
}
],
"source": [
"%run -i test_rotation.py"
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]
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