mirror of
https://github.com/donnemartin/interactive-coding-challenges.git
synced 2024-03-22 13:11:13 +08:00
Add print binary challenge
This commit is contained in:
Donne Martin
parent
907f75d0d0
commit
dc4c01c690
0
bit_manipulation/print_binary/__init__.py
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0
bit_manipulation/print_binary/__init__.py
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178
bit_manipulation/print_binary/print_binary_challenge.ipynb
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178
bit_manipulation/print_binary/print_binary_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 a real number between 0 and 1, print the binary representation. If the length of the representation is > 32, return 'ERROR'.\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 the input a float?\n",
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" * Yes\n",
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"* Is the output a string?\n",
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" * Yes\n",
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"* Is 0 and 1 inclusive?\n",
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" * No\n",
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"* Does the result include a trailing zero and decimal point?\n",
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" * Yes\n",
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"* Is the leading zero and decimal point counted in the 32 char limit?\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 -> 'ERROR'\n",
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"* Out of bounds (0, 1) -> 'ERROR'\n",
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"* General case\n",
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" * 0.625 -> 0.101\n",
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" * 0.987654321 -> 'ERROR'"
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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 Bits(object):\n",
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"\n",
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" def print_binary(self, num):\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_print_binary.py\n",
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"from nose.tools import assert_equal\n",
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"\n",
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"\n",
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"class TestBits(object):\n",
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"\n",
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" def test_print_binary(self):\n",
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" bit = Bits()\n",
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" assert_equal(bit.print_binary(None), 'ERROR')\n",
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" assert_equal(bit.print_binary(0), 'ERROR')\n",
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" assert_equal(bit.print_binary(1), 'ERROR')\n",
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" num = 0.625\n",
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" expected = '0.101'\n",
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" assert_equal(bit.print_binary(num), expected)\n",
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" num = 0.987654321\n",
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" assert_equal(bit.print_binary(num), 'ERROR')\n",
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" print('Success: test_print_binary')\n",
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"\n",
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"\n",
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"def main():\n",
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" test = TestBits()\n",
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" test.test_print_binary()\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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215
bit_manipulation/print_binary/print_binary_solution.ipynb
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bit_manipulation/print_binary/print_binary_solution.ipynb
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@ -0,0 +1,215 @@
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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 a real number between 0 and 1, print the binary representation. If the length of the representation is > 32, return 'ERROR'.\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 the input a float?\n",
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" * Yes\n",
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"* Is the output a string?\n",
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" * Yes\n",
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"* Is 0 and 1 inclusive?\n",
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" * No\n",
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"* Does the result include a trailing zero and decimal point?\n",
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" * Yes\n",
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"* Is the leading zero and decimal point counted in the 32 char limit?\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 -> 'ERROR'\n",
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"* Out of bounds (0, 1) -> 'ERROR'\n",
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"* General case\n",
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" * 0.625 -> 0.101\n",
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" * 0.987654321 -> 'ERROR'"
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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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"* Set the result to '0.'\n",
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"* Start with a fraction of 0.5, which is 0.1 in base 2\n",
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"* Loop while num > 0\n",
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" * Check num versus fraction\n",
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" * If num > fraction, add a 1 to the result, num -= fraction\n",
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" * Else, add a 0 to the result\n",
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" * If the len(result) > 32, return 'ERROR'\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": 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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"from __future__ import division\n",
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"\n",
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"\n",
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"class Bits(object):\n",
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"\n",
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" MAX_BITS = 32\n",
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"\n",
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" def print_binary(self, num):\n",
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" if num is None or num >= 1 or num <= 0:\n",
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" return 'ERROR'\n",
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" result = ['0', '.']\n",
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" fraction = 0.5\n",
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" while num:\n",
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" if num >= fraction:\n",
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" result.append('1')\n",
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" num -= fraction\n",
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" else:\n",
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" result.append('0')\n",
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" if len(result) > self.MAX_BITS:\n",
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" return 'ERROR'\n",
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" fraction /= 2\n",
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" return ''.join(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_print_binary.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_print_binary.py\n",
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"from nose.tools import assert_equal\n",
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"\n",
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"\n",
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"class TestBits(object):\n",
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"\n",
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" def test_print_binary(self):\n",
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" bit = Bits()\n",
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" assert_equal(bit.print_binary(None), 'ERROR')\n",
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" assert_equal(bit.print_binary(0), 'ERROR')\n",
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" assert_equal(bit.print_binary(1), 'ERROR')\n",
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" num = 0.625\n",
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" expected = '0.101'\n",
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" assert_equal(bit.print_binary(num), expected)\n",
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" num = 0.987654321\n",
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" assert_equal(bit.print_binary(num), 'ERROR')\n",
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" print('Success: test_print_binary')\n",
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"\n",
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"\n",
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"def main():\n",
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" test = TestBits()\n",
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" test.test_print_binary()\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_print_binary\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_print_binary.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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25
bit_manipulation/print_binary/test_print_binary.py
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25
bit_manipulation/print_binary/test_print_binary.py
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@ -0,0 +1,25 @@
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from nose.tools import assert_equal
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class TestBits(object):
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def test_print_binary(self):
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bit = Bits()
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assert_equal(bit.print_binary(None), 'ERROR')
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assert_equal(bit.print_binary(0), 'ERROR')
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assert_equal(bit.print_binary(1), 'ERROR')
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num = 0.625
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expected = '0.101'
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assert_equal(bit.print_binary(num), expected)
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num = 0.987654321
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assert_equal(bit.print_binary(num), 'ERROR')
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print('Success: test_print_binary')
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def main():
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test = TestBits()
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test.test_print_binary()
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if __name__ == '__main__':
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main()
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