mirror of
https://github.com/donnemartin/interactive-coding-challenges.git
synced 2024-03-22 13:11:13 +08:00
236 lines
9.7 KiB
Python
236 lines
9.7 KiB
Python
{
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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: Create a class with an insert method to insert an int to a list. It should also support calculating the max, min, mean, and mode in O(1).\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 the inputs are valid?\n",
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" * No\n",
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"* Is there a range of inputs?\n",
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" * 0 <= item <= 100\n",
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"* Should mean return a float?\n",
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" * Yes\n",
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"* Should the other results return an int?\n",
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" * Yes\n",
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"* If there are multiple modes, what do we return?\n",
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" * Any of the modes\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 -> TypeError\n",
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"* [] -> ValueError\n",
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"* [5, 2, 7, 9, 9, 2, 9, 4, 3, 3, 2]\n",
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" * max: 9\n",
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" * min: 2\n",
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" * mean: 55\n",
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" * mode: 9 or 2"
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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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"Return the input, val\n",
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"\n",
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"Complexity:\n",
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"* Time: O(1)\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": 12,
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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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"from __future__ import division\n",
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"\n",
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"\n",
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"class Solution(object):\n",
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"\n",
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" def __init__(self, upper_limit=100):\n",
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" self.max = None\n",
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" self.min = None\n",
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" # Mean\n",
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" self.num_items = 0\n",
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" self.running_sum = 0\n",
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" self.mean = None\n",
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" # Mode\n",
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" self.array = [0] * (upper_limit+1)\n",
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" self.mode_ocurrences = 0\n",
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" self.mode = None\n",
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"\n",
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" def insert(self, val):\n",
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" if val is None:\n",
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" raise TypeError('val cannot be None')\n",
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" if self.max is None or val > self.max:\n",
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" self.max = val\n",
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" if self.min is None or val < self.min:\n",
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" self.min = val\n",
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" # Calculate the mean\n",
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" self.num_items += 1\n",
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" self.running_sum += val\n",
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" self.mean = self.running_sum / self.num_items\n",
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" # Calculate the mode\n",
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" self.array[val] += 1\n",
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" if self.array[val] > self.mode_ocurrences:\n",
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" self.mode_ocurrences = self.array[val]\n",
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" self.mode = val"
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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": 13,
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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_math_ops.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_math_ops.py\n",
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"from nose.tools import assert_equal, assert_true, assert_raises\n",
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"\n",
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"\n",
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"class TestMathOps(object):\n",
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"\n",
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" def test_math_ops(self):\n",
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" solution = Solution()\n",
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" assert_raises(TypeError, solution.insert, None)\n",
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" solution.insert(5)\n",
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" solution.insert(2)\n",
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" solution.insert(7)\n",
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" solution.insert(9)\n",
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" solution.insert(9)\n",
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" solution.insert(2)\n",
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" solution.insert(9)\n",
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" solution.insert(4)\n",
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" solution.insert(3)\n",
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" solution.insert(3)\n",
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" solution.insert(2)\n",
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" assert_equal(solution.max, 9)\n",
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" assert_equal(solution.min, 2)\n",
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" assert_equal(solution.mean, 5)\n",
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" assert_true(solution.mode in (2, 9))\n",
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" print('Success: test_math_ops')\n",
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"\n",
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"\n",
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"def main():\n",
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" test = TestMathOps()\n",
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" test.test_math_ops()\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": 14,
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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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"ename": "AssertionError",
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"evalue": "False is not true",
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"output_type": "error",
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"traceback": [
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"\u001b[0;31m---------------------------------------------------------------------\u001b[0m",
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"\u001b[0;31mAssertionError\u001b[0m Traceback (most recent call last)",
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"\u001b[0;32m/Users/donnemartin/Dev/github/sources/interactive-coding-challenges/online_judges/math_ops/test_math_ops.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m 31\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 32\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0m__name__\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;34m'__main__'\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 33\u001b[0;31m \u001b[0mmain\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
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"\u001b[0;32m/Users/donnemartin/Dev/github/sources/interactive-coding-challenges/online_judges/math_ops/test_math_ops.py\u001b[0m in \u001b[0;36mmain\u001b[0;34m()\u001b[0m\n\u001b[1;32m 27\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mmain\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 28\u001b[0m \u001b[0mtest\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mTestMathOps\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 29\u001b[0;31m \u001b[0mtest\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtest_math_ops\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 30\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 31\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0;32m/Users/donnemartin/Dev/github/sources/interactive-coding-challenges/online_judges/math_ops/test_math_ops.py\u001b[0m in \u001b[0;36mtest_math_ops\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 21\u001b[0m \u001b[0massert_equal\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msolution\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmin\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m2\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 22\u001b[0m \u001b[0massert_equal\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msolution\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmean\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m5\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 23\u001b[0;31m \u001b[0massert_true\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msolution\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmode\u001b[0m \u001b[0;32min\u001b[0m \u001b[0;34m(\u001b[0m\u001b[0;36m2\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m92\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 24\u001b[0m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'Success: test_math_ops'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 25\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0;32m/Users/donnemartin/.pyenv/versions/3.5.0/lib/python3.5/unittest/case.py\u001b[0m in \u001b[0;36massertTrue\u001b[0;34m(self, expr, msg)\u001b[0m\n\u001b[1;32m 672\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mexpr\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 673\u001b[0m \u001b[0mmsg\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_formatMessage\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"%s is not true\"\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0msafe_repr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mexpr\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 674\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfailureException\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmsg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 675\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 676\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0m_formatMessage\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmsg\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstandardMsg\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0;31mAssertionError\u001b[0m: False is not true"
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]
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}
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],
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"source": [
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"%run -i test_math_ops.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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