diff --git a/bit_manipulation/pairwise_swap/__init__.py b/bit_manipulation/pairwise_swap/__init__.py new file mode 100644 index 0000000..e69de29 diff --git a/bit_manipulation/pairwise_swap/pairwise_swap_challenge.ipynb b/bit_manipulation/pairwise_swap/pairwise_swap_challenge.ipynb new file mode 100644 index 0000000..6174be8 --- /dev/null +++ b/bit_manipulation/pairwise_swap/pairwise_swap_challenge.ipynb @@ -0,0 +1,174 @@ +{ + "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: Swap the odd and even bits of a positive integer with as few operations as possible.\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 input is always a positive int?\n", + " * Yes\n", + "* Can we assume we're working with 32 bits?\n", + " * Yes\n", + "* Is the output an int?\n", + " * Yes\n", + "* Can we assume the inputs are valid (not None)?\n", + " * No\n", + "* Can we assume this fits memory?\n", + " * Yes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Test Cases\n", + "\n", + "* None -> Exception\n", + "* 0 -> 0\n", + "* -1 -> -1\n", + "* General case\n", + "
\n", + " input = 1001 1111 0110\n", + " result = 0110 1111 1001\n", + "" + ] + }, + { + "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 Bits(object):\n", + "\n", + " def pairwise_swap(self, num):\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_pairwise_swap.py\n", + "from nose.tools import assert_equal\n", + "\n", + "\n", + "class TestBits(object):\n", + "\n", + " def test_pairwise_swap(self):\n", + " bits = Bits()\n", + " assert_equal(bits.pairwise_swap(0), 0)\n", + " assert_equal(bits.pairwise_swap(1), 1)\n", + " num = int('0000100111110110', base=2)\n", + " expected = int('0000011011111001', base=2)\n", + " assert_equal(bits.pairwise_swap(num), expected)\n", + " print('Success: test_pairwise_swap')\n", + "\n", + "\n", + "def main():\n", + " test = TestBits()\n", + " test.test_pairwise_swap()\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" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/bit_manipulation/pairwise_swap/pairwise_swap_solution.ipynb b/bit_manipulation/pairwise_swap/pairwise_swap_solution.ipynb new file mode 100644 index 0000000..9de5545 --- /dev/null +++ b/bit_manipulation/pairwise_swap/pairwise_swap_solution.ipynb @@ -0,0 +1,219 @@ +{ + "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: Swap the odd and even bits of a positive integer with as few operations as possible.\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 input is always a positive int?\n", + " * Yes\n", + "* Can we assume we're working with 32 bits?\n", + " * Yes\n", + "* Is the output an int?\n", + " * Yes\n", + "* Can we assume the inputs are valid (not None)?\n", + " * No\n", + "* Can we assume this fits memory?\n", + " * Yes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Test Cases\n", + "\n", + "* None -> Exception\n", + "* 0 -> 0\n", + "* -1 -> -1\n", + "* General case\n", + "\n", + " input = 0000 1001 1111 0110\n", + " result = 0000 0110 1111 1001\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Algorithm\n", + "\n", + "\n", + "* Isolate the odd bits with a mask:\n", + " 0000 1001 1111 0110 num\n", + " 1010 1010 1010 1010 mask\n", + " --------------------------------\n", + " 0000 1000 1010 0010 num & mask\n", + "\n", + "* Shift the odd bits right:\n", + " 0000 0100 0101 0001 odd\n", + "\n", + "* Isolate the even bits with a mask:\n", + " 0000 1001 1111 0110 num\n", + " 0101 0101 0101 0101 mask\n", + " --------------------------------\n", + " 0000 0001 0101 0100 num & mask\n", + "\n", + "* Shift the even bits left:\n", + " 0000 0010 1010 1000 even\n", + "\n", + "* Return even | odd\n", + " 0000 0100 0101 0001 odd\n", + " 0000 0010 1010 1000 even\n", + " --------------------------------\n", + " 0000 0110 1111 1001 odd | even\n", + "\n", + "\n", + "Complexity:\n", + "* Time: O(b), where b is the number of bits\n", + "* Space: O(b), where b is the number of bits" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Code" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "class Bits(object):\n", + "\n", + " def pairwise_swap(self, num):\n", + " if num is None:\n", + " raise TypeError('num cannot be None')\n", + " if num == 0 or num == 1:\n", + " return num\n", + " odd = (num & int('1010101010101010', base=2)) >> 1\n", + " even = (num & int('0101010101010101', base=2)) << 1\n", + " return odd | even" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Unit Test" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Overwriting test_pairwise_swap.py\n" + ] + } + ], + "source": [ + "%%writefile test_pairwise_swap.py\n", + "from nose.tools import assert_equal, assert_raises\n", + "\n", + "\n", + "class TestBits(object):\n", + "\n", + " def test_pairwise_swap(self):\n", + " bits = Bits()\n", + " assert_equal(bits.pairwise_swap(0), 0)\n", + " assert_equal(bits.pairwise_swap(1), 1)\n", + " num = int('0000100111110110', base=2)\n", + " expected = int('0000011011111001', base=2)\n", + " assert_equal(bits.pairwise_swap(num), expected)\n", + " assert_raises(TypeError, bits.pairwise_swap, None)\n", + " \n", + " print('Success: test_pairwise_swap')\n", + "\n", + "\n", + "def main():\n", + " test = TestBits()\n", + " test.test_pairwise_swap()\n", + "\n", + "\n", + "if __name__ == '__main__':\n", + " main()" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Success: test_pairwise_swap\n" + ] + } + ], + "source": [ + "%run -i test_pairwise_swap.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", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.5.0" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/bit_manipulation/pairwise_swap/test_pairwise_swap.py b/bit_manipulation/pairwise_swap/test_pairwise_swap.py new file mode 100644 index 0000000..5ee4cae --- /dev/null +++ b/bit_manipulation/pairwise_swap/test_pairwise_swap.py @@ -0,0 +1,24 @@ +from nose.tools import assert_equal, assert_raises + + +class TestBits(object): + + def test_pairwise_swap(self): + bits = Bits() + assert_equal(bits.pairwise_swap(0), 0) + assert_equal(bits.pairwise_swap(1), 1) + num = int('0000100111110110', base=2) + expected = int('0000011011111001', base=2) + assert_equal(bits.pairwise_swap(num), expected) + assert_raises(TypeError, bits.pairwise_swap, None) + + print('Success: test_pairwise_swap') + + +def main(): + test = TestBits() + test.test_pairwise_swap() + + +if __name__ == '__main__': + main() \ No newline at end of file