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https://github.com/donnemartin/interactive-coding-challenges.git
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Add sum two challenge
This commit is contained in:
Donne Martin
parent
a97d35f86a
commit
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164
online_judges/sum_two/sum_two_challenge.ipynb
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164
online_judges/sum_two/sum_two_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: Sum of Two Integers.\n",
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"\n",
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"See the [LeetCode](https://leetcode.com/problems/sum-of-two-integers/) problem page.\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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"* Can we assume we're working with 32 bit ints?\n",
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" * Yes\n",
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"* Can we assume the inputs are valid?\n",
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" * No, check for None\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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"See the [LeetCode](https://leetcode.com/problems/sum-of-two-integers/) problem page."
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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 sum_two(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_sum_two.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 TestSumTwo(object):\n",
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"\n",
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" def test_sum_two(self):\n",
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" solution = Solution()\n",
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" assert_raises(TypeError, solution.sum_two, None)\n",
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" assert_equal(solution.sum_two(5, 7), 12)\n",
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" assert_equal(solution.sum_two(-5, -7), -12)\n",
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" assert_equal(solution.sum_two(5, -7), -2)\n",
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" print('Success: test_sum_two')\n",
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"\n",
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"\n",
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"def main():\n",
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" test = TestSumTwo()\n",
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" test.test_sum_two()\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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225
online_judges/sum_two/sum_two_solution.ipynb
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225
online_judges/sum_two/sum_two_solution.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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"# 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: Sum of Two Integers.\n",
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"\n",
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"See the [LeetCode](https://leetcode.com/problems/sum-of-two-integers/) problem page.\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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"* Can we assume we're working with 32 bit ints?\n",
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" * Yes\n",
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"* Can we assume the inputs are valid?\n",
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" * No, check for None\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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"<pre>\n",
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"* None input -> TypeError\n",
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"* 5, 7 -> 12\n",
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"* -5, -7 -> -12\n",
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"* 5, -7 -> -2\n",
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"</pre>"
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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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"We'll look at the following example, adding a and b:\n",
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"\n",
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"<pre>\n",
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"a 0111 \n",
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"b 0101\n",
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"</pre>\n",
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"\n",
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"First, add a and b, without worrying about the carry (0+0=0, 0+1=1, 1+1=0):\n",
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"\n",
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"result = a ^ b = 0010\n",
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"\n",
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"Next, calculate the carry (1+1=2). We'll need to left shift one to prepare for the next iteration when we move to the next most significant bit:\n",
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"\n",
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"carry = (a&b) << 1 = 1010\n",
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"\n",
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"If the carry is not zero, we'll need to add the carry to the result. Recusively call the function, passing in result and carry.\n",
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"\n",
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"Below are the values of a, b, and the carry of a = 7 and b = 5, producing the result of 12.\n",
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"\n",
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"<pre>\n",
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"a 0111 \n",
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"b 0101 \n",
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"----- \n",
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"c 0101 \n",
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"a 0010 \n",
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"b 1010 \n",
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"----- \n",
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"c 0010 \n",
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"a 1000 \n",
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"b 0100 \n",
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"----- \n",
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"c 0000 \n",
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"a 1100 \n",
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"b 0000\n",
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"\n",
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"c = carry = 0, return the result 1100\n",
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"</pre>\n",
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"\n",
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"Complexity:\n",
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"* Time: O(b), where b is the number of bits\n",
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"* Space: O(b), where b is the number of bits"
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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 sum_two(self, a, b):\n",
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" if a is None or b is None:\n",
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" raise TypeError('a or b cannot be None')\n",
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" result = a ^ b;\n",
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" carry = (a&b) << 1\n",
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" if carry != 0:\n",
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" return self.sum_two(result, carry)\n",
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" return result;"
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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_sum_two.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_sum_two.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 TestSumTwo(object):\n",
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"\n",
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" def test_sum_two(self):\n",
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" solution = Solution()\n",
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" assert_raises(TypeError, solution.sum_two, None)\n",
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" assert_equal(solution.sum_two(5, 7), 12)\n",
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" assert_equal(solution.sum_two(-5, -7), -12)\n",
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" assert_equal(solution.sum_two(5, -7), -2)\n",
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" print('Success: test_sum_two')\n",
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"\n",
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"\n",
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"def main():\n",
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" test = TestSumTwo()\n",
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" test.test_sum_two()\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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"scrolled": true
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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_sum_two\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_sum_two.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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21
online_judges/sum_two/test_sum_two.py
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21
online_judges/sum_two/test_sum_two.py
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@ -0,0 +1,21 @@
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from nose.tools import assert_equal, assert_raises
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class TestSumTwo(object):
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def test_sum_two(self):
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solution = Solution()
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assert_raises(TypeError, solution.sum_two, None)
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assert_equal(solution.sum_two(5, 7), 12)
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assert_equal(solution.sum_two(-5, -7), -12)
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assert_equal(solution.sum_two(5, -7), -2)
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print('Success: test_sum_two')
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def main():
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test = TestSumTwo()
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test.test_sum_two()
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if __name__ == '__main__':
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main()
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