mirror of
https://github.com/donnemartin/interactive-coding-challenges.git
synced 2024-03-22 13:11:13 +08:00
Add two sum challenge
This commit is contained in:
parent
6c507fc3ea
commit
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0
arrays_strings/two_sum/__init__.py
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0
arrays_strings/two_sum/__init__.py
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23
arrays_strings/two_sum/test_two_sum.py
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arrays_strings/two_sum/test_two_sum.py
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from nose.tools import assert_equal, assert_raises
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class TestTwoSum(object):
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def test_two_sum(self):
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solution = Solution()
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assert_raises(TypeError, solution.two_sum, None, None)
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assert_raises(ValueError, solution.two_sum, [], 0)
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target = 7
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nums = [1, 3, 2, -7, 5]
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expected = [2, 4]
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assert_equal(solution.two_sum(nums, target), expected)
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print('Success: test_two_sum')
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def main():
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test = TestTwoSum()
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test.test_two_sum()
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if __name__ == '__main__':
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main()
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170
arrays_strings/two_sum/two_sum_challenge.ipynb
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arrays_strings/two_sum/two_sum_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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"This notebook was prepared by [Donne Martin](https://github.com/donnemartin). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges)."
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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: Given an array, find the two indices that sum to a specific value.\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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"* Is there exactly one solution?\n",
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" * Yes\n",
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"* Is there always a solution?\n",
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" * Yes\n",
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"* Is the array an array of ints?\n",
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" * Yes\n",
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"* Is the array sorted?\n",
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" No\n",
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"* Are negative values possible?\n",
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" * Yes\n",
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"* Can we assume the inputs are valid?\n",
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" * No\n",
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"* Can we assume this fits memory?\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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"* None input -> TypeError\n",
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"* [] -> ValueError\n",
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"* [1, 3, 2, -7, 5], 7 -> [2, 4]"
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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](). 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": 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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"class Solution(object):\n",
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"\n",
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" def two_sum(self, val):\n",
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" # TODO: Implement me\n",
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" pass"
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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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"**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_two_sum.py\n",
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"from nose.tools import assert_equal, assert_raises\n",
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"\n",
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"\n",
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"class TestTwoSum(object):\n",
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"\n",
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" def test_two_sum(self):\n",
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" solution = Solution()\n",
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" assert_raises(TypeError, solution.two_sum, None)\n",
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" assert_equal(solution.two_sum(0), 0)\n",
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" print('Success: test_two_sum')\n",
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"\n",
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"\n",
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"def main():\n",
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" test = TestTwoSum()\n",
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" test.test_two_sum()\n",
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"\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]() 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 3",
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"language": "python",
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"name": "python3"
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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": 3
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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": "ipython3",
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"version": "3.5.0"
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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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271
arrays_strings/two_sum/two_sum_solution.ipynb
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271
arrays_strings/two_sum/two_sum_solution.ipynb
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@ -0,0 +1,271 @@
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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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"This notebook was prepared by [Donne Martin](https://github.com/donnemartin). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges)."
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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"
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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: Given an array, find the two indices that sum to a specific value.\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)"
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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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"* Is there exactly one solution?\n",
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" * Yes\n",
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"* Is there always a solution?\n",
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" * Yes\n",
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"* Is the array an array of ints?\n",
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" * Yes\n",
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"* Is the array sorted?\n",
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" No\n",
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"* Are negative values possible?\n",
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" * Yes\n",
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"* Can we assume the inputs are valid?\n",
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" * No\n",
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"* Can we assume this fits memory?\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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"* None input -> TypeError\n",
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"* [] -> ValueError\n",
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"* [1, 3, 2, -7, 5], 7 -> [2, 4]"
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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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"### Brute force\n",
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"\n",
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"* For i in range(len(input)):\n",
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" * For j in range(i+1, len(input)):\n",
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" * if i + j == target return True\n",
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"* return False\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)\n",
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"\n",
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"### Optimized\n",
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"\n",
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"<pre>\n",
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"* Loop through each num in nums\n",
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" * Calculate the cache_target = target - num\n",
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"\n",
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"target = 7\n",
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"index = 0 1 2 3 4\n",
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"nums = [1, 3, 2, -7, 5]\n",
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" ^\n",
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"cache_target = 7 - 1 = 6\n",
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"cache\n",
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"6 -> 0\n",
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"\n",
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"1 not in cache\n",
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"\n",
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"index = 0 1 2 3 4\n",
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"nums = [1, 3, 2, -7, 5]\n",
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" ^\n",
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"cache_target = 7 - 3 = 4\n",
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"cache\n",
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"6 -> 0\n",
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"4 -> 1\n",
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"\n",
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"3 not in cache\n",
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"\n",
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"index = 0 1 2 3 4\n",
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"nums = [1, 3, 2, -7, 5]\n",
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" ^\n",
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"cache_target = 7 - 2 = 5\n",
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"cache\n",
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"6 -> 0\n",
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"4 -> 1\n",
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"5 -> 2\n",
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"\n",
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"2 not in cache\n",
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"\n",
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"index = 0 1 2 3 4\n",
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"nums = [1, 3, 2, -7, 5]\n",
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" ^\n",
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"cache_target = 7 + 7 = 14\n",
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"cache\n",
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"6 -> 0\n",
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"4 -> 1\n",
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"5 -> 2\n",
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"14 -> 3\n",
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"\n",
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"-7 not in cache\n",
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"\n",
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"index = 0 1 2 3 4\n",
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"nums = [1, 3, 2, -7, 5]\n",
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" ^\n",
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"cache_target = 7 - 5 = 2\n",
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"cache\n",
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"6 -> 0\n",
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"4 -> 1\n",
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"5 -> 2\n",
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"14 -> 3\n",
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"\n",
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"5 in cache, success, output matching indices: cache[num] and current iteration index\n",
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"\n",
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"output = [2, 4]\n",
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"</pre>\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(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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"class Solution(object):\n",
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"\n",
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" def two_sum(self, nums, target):\n",
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" if nums is None or target is None:\n",
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" raise TypeError('nums or target cannot be None')\n",
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" if not nums:\n",
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" raise ValueError('nums cannot be empty')\n",
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" cache = {}\n",
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" for index, num in enumerate(nums):\n",
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" cache_target = target - num\n",
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" if num in cache:\n",
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" return [cache[num], index]\n",
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" else:\n",
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" cache[cache_target] = index\n",
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" return None"
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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": "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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"Overwriting test_two_sum.py\n"
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]
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}
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],
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"source": [
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"%%writefile test_two_sum.py\n",
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"from nose.tools import assert_equal, assert_raises\n",
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"\n",
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"\n",
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"class TestTwoSum(object):\n",
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"\n",
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" def test_two_sum(self):\n",
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" solution = Solution()\n",
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" assert_raises(TypeError, solution.two_sum, None, None)\n",
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" assert_raises(ValueError, solution.two_sum, [], 0)\n",
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" target = 7\n",
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" nums = [1, 3, 2, -7, 5]\n",
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" expected = [2, 4]\n",
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" assert_equal(solution.two_sum(nums, target), expected)\n",
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" print('Success: test_two_sum')\n",
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"\n",
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"\n",
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"def main():\n",
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" test = TestTwoSum()\n",
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" test.test_two_sum()\n",
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"\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": "code",
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"execution_count": 3,
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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_two_sum\n"
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]
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}
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],
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"source": [
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"%run -i test_two_sum.py"
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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 3",
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"language": "python",
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"name": "python3"
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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": 3
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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": "ipython3",
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"version": "3.5.0"
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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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