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Add math ops challenge

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Donne Martin 2017-03-29 04:32:52 -04:00
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0
online_judges/math_ops/__init__.py Normal file
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online_judges/math_ops/math_ops_challenge.ipynb Normal file
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"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)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Challenge Notebook"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 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",
"\n",
"* [Constraints](#Constraints)\n",
"* [Test Cases](#Test-Cases)\n",
"* [Algorithm](#Algorithm)\n",
"* [Code](#Code)\n",
"* [Unit Test](#Unit-Test)\n",
"* [Solution Notebook](#Solution-Notebook)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Constraints\n",
"\n",
"* Can we assume the inputs are valid?\n",
" * No\n",
"* Is there a range of inputs?\n",
" * 0 <= item <= 100\n",
"* Should mean return a float?\n",
" * Yes\n",
"* Should the other results return an int?\n",
" * Yes\n",
"* If there are multiple modes, what do we return?\n",
" * Any of the modes\n",
"* Can we assume this fits memory?\n",
" * Yes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Test Cases\n",
"\n",
"* None -> TypeError\n",
"* [] -> ValueError\n",
"* [5, 2, 7, 9, 9, 2, 9, 4, 3, 3, 2]\n",
" * max: 9\n",
" * min: 2\n",
" * mean: 55\n",
" * mode: 9 or 2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Algorithm\n",
"\n",
"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."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Code"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"class Solution(object):\n",
"\n",
" def __init__(self, upper_limit=100):\n",
" # TODO: Implement me\n",
" pass\n",
"\n",
" def insert(self, val):\n",
" # TODO: Implement me\n",
" pass"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Unit Test"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**The following unit test is expected to fail until you solve the challenge.**"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# %load test_math_ops.py\n",
"from nose.tools import assert_equal, assert_true, assert_raises\n",
"\n",
"\n",
"class TestMathOps(object):\n",
"\n",
" def test_math_ops(self):\n",
" solution = Solution()\n",
" assert_raises(TypeError, solution.insert, None)\n",
" solution.insert(5)\n",
" solution.insert(2)\n",
" solution.insert(7)\n",
" solution.insert(9)\n",
" solution.insert(9)\n",
" solution.insert(2)\n",
" solution.insert(9)\n",
" solution.insert(4)\n",
" solution.insert(3)\n",
" solution.insert(3)\n",
" solution.insert(2)\n",
" assert_equal(solution.max, 9)\n",
" assert_equal(solution.min, 2)\n",
" assert_equal(solution.mean, 5)\n",
" assert_true(solution.mode in (2, 92))\n",
" print('Success: test_math_ops')\n",
"\n",
"\n",
"def main():\n",
" test = TestMathOps()\n",
" test.test_math_ops()\n",
"\n",
"\n",
"if __name__ == '__main__':\n",
" main()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Solution Notebook\n",
"\n",
"Review the [Solution Notebook]() for a discussion on algorithms and code solutions."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.0"
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"nbformat": 4,
"nbformat_minor": 0
}

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online_judges/math_ops/math_ops_solution.ipynb Normal file
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"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)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Solution Notebook"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 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",
"\n",
"* [Constraints](#Constraints)\n",
"* [Test Cases](#Test-Cases)\n",
"* [Algorithm](#Algorithm)\n",
"* [Code](#Code)\n",
"* [Unit Test](#Unit-Test)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Constraints\n",
"\n",
"* Can we assume the inputs are valid?\n",
" * No\n",
"* Is there a range of inputs?\n",
" * 0 <= item <= 100\n",
"* Should mean return a float?\n",
" * Yes\n",
"* Should the other results return an int?\n",
" * Yes\n",
"* If there are multiple modes, what do we return?\n",
" * Any of the modes\n",
"* Can we assume this fits memory?\n",
" * Yes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Test Cases\n",
"\n",
"* None -> TypeError\n",
"* [] -> ValueError\n",
"* [5, 2, 7, 9, 9, 2, 9, 4, 3, 3, 2]\n",
" * max: 9\n",
" * min: 2\n",
" * mean: 55\n",
" * mode: 9 or 2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Algorithm\n",
"\n",
"Return the input, val\n",
"\n",
"Complexity:\n",
"* Time: O(1)\n",
"* Space: O(1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Code"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"from __future__ import division\n",
"\n",
"\n",
"class Solution(object):\n",
"\n",
" def __init__(self, upper_limit=100):\n",
" self.max = None\n",
" self.min = None\n",
" # Mean\n",
" self.num_items = 0\n",
" self.running_sum = 0\n",
" self.mean = None\n",
" # Mode\n",
" self.array = [0] * (upper_limit+1)\n",
" self.mode_ocurrences = 0\n",
" self.mode = None\n",
"\n",
" def insert(self, val):\n",
" if val is None:\n",
" raise TypeError('val cannot be None')\n",
" if self.max is None or val > self.max:\n",
" self.max = val\n",
" if self.min is None or val < self.min:\n",
" self.min = val\n",
" # Calculate the mean\n",
" self.num_items += 1\n",
" self.running_sum += val\n",
" self.mean = self.running_sum / self.num_items\n",
" # Calculate the mode\n",
" self.array[val] += 1\n",
" if self.array[val] > self.mode_ocurrences:\n",
" self.mode_ocurrences = self.array[val]\n",
" self.mode = val"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Unit Test"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Overwriting test_math_ops.py\n"
]
}
],
"source": [
"%%writefile test_math_ops.py\n",
"from nose.tools import assert_equal, assert_true, assert_raises\n",
"\n",
"\n",
"class TestMathOps(object):\n",
"\n",
" def test_math_ops(self):\n",
" solution = Solution()\n",
" assert_raises(TypeError, solution.insert, None)\n",
" solution.insert(5)\n",
" solution.insert(2)\n",
" solution.insert(7)\n",
" solution.insert(9)\n",
" solution.insert(9)\n",
" solution.insert(2)\n",
" solution.insert(9)\n",
" solution.insert(4)\n",
" solution.insert(3)\n",
" solution.insert(3)\n",
" solution.insert(2)\n",
" assert_equal(solution.max, 9)\n",
" assert_equal(solution.min, 2)\n",
" assert_equal(solution.mean, 5)\n",
" assert_true(solution.mode in (2, 9))\n",
" print('Success: test_math_ops')\n",
"\n",
"\n",
"def main():\n",
" test = TestMathOps()\n",
" test.test_math_ops()\n",
"\n",
"\n",
"if __name__ == '__main__':\n",
" main()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"ename": "AssertionError",
"evalue": "False is not true",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mAssertionError\u001b[0m Traceback (most recent call last)",
"\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",
"\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",
"\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",
"\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",
"\u001b[0;31mAssertionError\u001b[0m: False is not true"
]
}
],
"source": [
"%run -i test_math_ops.py"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
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"nbformat_minor": 0
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online_judges/math_ops/test_math_ops.py Normal file
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from nose.tools import assert_equal, assert_true, assert_raises
class TestMathOps(object):
def test_math_ops(self):
solution = Solution()
assert_raises(TypeError, solution.insert, None)
solution.insert(5)
solution.insert(2)
solution.insert(7)
solution.insert(9)
solution.insert(9)
solution.insert(2)
solution.insert(9)
solution.insert(4)
solution.insert(3)
solution.insert(3)
solution.insert(2)
assert_equal(solution.max, 9)
assert_equal(solution.min, 2)
assert_equal(solution.mean, 5)
assert_true(solution.mode in (2, 92))
print('Success: test_math_ops')
def main():
test = TestMathOps()
test.test_math_ops()
if __name__ == '__main__':
main()