diff --git a/README.md b/README.md index 4eb168e..114d98c 100644 --- a/README.md +++ b/README.md @@ -18,6 +18,7 @@ Continually updated IPython Notebooks containing algorithms and data structures. * [Remove duplicates from a linked list](http://nbviewer.ipython.org/github/donnemartin/algorithms-data-structures/blob/master/linked-lists/remove-duplicates.ipynb) * [Find the kth to last element of a linked list](http://nbviewer.ipython.org/github/donnemartin/algorithms-data-structures/blob/master/linked-lists/kth-to-last-elem.ipynb) * [Delete a node in the middle of a linked list, given access to only that node](http://nbviewer.ipython.org/github/donnemartin/algorithms-data-structures/blob/master/linked-lists/delete-mid.ipynb) +* [Partition a linked list around a given value](http://nbviewer.ipython.org/github/donnemartin/algorithms-data-structures/blob/master/linked-lists/partition.ipynb) ## License diff --git a/linked-lists/partition.ipynb b/linked-lists/partition.ipynb new file mode 100644 index 0000000..d619e6e --- /dev/null +++ b/linked-lists/partition.ipynb @@ -0,0 +1,178 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Problem: Partition a linked list around a value x, such that all nodes less than x come before all nodes greater than or equal to x.\n", + "\n", + "* [Clarifying Questions](#Clarifying-Questions)\n", + "* [Test Cases](#Test-Cases)\n", + "* [Algorithm](#Algorithm)\n", + "* [Code](#Code)\n", + "* [Pythonic-Code](#Pythonic-Code)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Clarifying Questions\n", + "\n", + "* Can we create additional data structures?\n", + " * Yes\n", + "* Do you expect the function to return a new list?\n", + " * Yes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Test Cases\n", + "\n", + "* Empty list\n", + "* One element list\n", + "* Left linked list is empty\n", + "* Right linked list is empty\n", + "* X invalid\n", + "* General case\n", + " * Partition = 10\n", + " * Input: 4, 3, 7, 8, 10, 1, 10, 12\n", + " * Output: 4, 3, 7, 8, 1, 10, 10, 12" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Algorithm\n", + "\n", + "* Test error cases\n", + "* Create left and right linked lists\n", + "* For each element in the list\n", + " * If elem < x, append to the left list\n", + " * else, append to the right list\n", + "* Merge left and right lists\n", + "\n", + "Complexity:\n", + "* Time: O(n)\n", + "* Space: O(n)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Code" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%run linked_list.py" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "class MyLinkedList(LinkedList):\n", + " def partition(self, data):\n", + " if self.head is None:\n", + " return\n", + " if type(data) != int:\n", + " raise ValueError('Invalid int argument: data')\n", + " left = MyLinkedList(None)\n", + " right = MyLinkedList(None)\n", + " curr = self.head\n", + " while curr is not None:\n", + " if curr.data < data:\n", + " left.append(curr.data)\n", + " else:\n", + " right.append(curr.data)\n", + " curr = curr.next\n", + " curr_left = left.head\n", + " if curr_left is None:\n", + " return right\n", + " else:\n", + " while curr_left.next is not None:\n", + " curr_left = curr_left.next\n", + " curr_left.next = right.head\n", + " return left" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "print('Empty list')\n", + "linked_list = MyLinkedList(None)\n", + "linked_list.partition(10)\n", + "linked_list.print_list()\n", + "print('X invalid')\n", + "head = Node(12)\n", + "linked_list = MyLinkedList(head)\n", + "try:\n", + " linked_list.partition('a')\n", + "except ValueError as err:\n", + " print(err)\n", + "linked_list.print_list()\n", + "print('One element list')\n", + "print('Left linked list is empty')\n", + "linked_list.partition(1)\n", + "linked_list.print_list()\n", + "print('Right linked list is empty')\n", + "linked_list.partition(20)\n", + "linked_list.print_list()\n", + "print('General case')\n", + "# Partition = 10\n", + "# Input 4, 3, 7, 8, 10, 1, 10, 12\n", + "# Output 4, 3, 7, 8, 1, 10, 10, 12\n", + "linked_list.insert_to_front(10)\n", + "linked_list.insert_to_front(1)\n", + "linked_list.insert_to_front(10)\n", + "linked_list.insert_to_front(8)\n", + "linked_list.insert_to_front(7)\n", + "linked_list.insert_to_front(3)\n", + "linked_list.insert_to_front(4)\n", + "partitioned_list = linked_list.partition(10)\n", + "partitioned_list.print_list()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +}