|
| 1 | +{ |
| 2 | + "cells": [ |
| 3 | + { |
| 4 | + "cell_type": "markdown", |
| 5 | + "metadata": {}, |
| 6 | + "source": [ |
| 7 | + "# Binary Search Trees" |
| 8 | + ] |
| 9 | + }, |
| 10 | + { |
| 11 | + "cell_type": "markdown", |
| 12 | + "metadata": {}, |
| 13 | + "source": [ |
| 14 | + "This is the code ot go along with the video explanation. Check out the video lecture for full details!" |
| 15 | + ] |
| 16 | + }, |
| 17 | + { |
| 18 | + "cell_type": "code", |
| 19 | + "execution_count": 5, |
| 20 | + "metadata": { |
| 21 | + "collapsed": false |
| 22 | + }, |
| 23 | + "outputs": [], |
| 24 | + "source": [ |
| 25 | + "class TreeNode:\n", |
| 26 | + " \n", |
| 27 | + " def __init__(self,key,val,left=None,right=None,parent=None):\n", |
| 28 | + " self.key = key\n", |
| 29 | + " self.payload = val\n", |
| 30 | + " self.leftChild = left\n", |
| 31 | + " self.rightChild = right\n", |
| 32 | + " self.parent = parent\n", |
| 33 | + "\n", |
| 34 | + " def hasLeftChild(self):\n", |
| 35 | + " return self.leftChild\n", |
| 36 | + "\n", |
| 37 | + " def hasRightChild(self):\n", |
| 38 | + " return self.rightChild\n", |
| 39 | + "\n", |
| 40 | + " def isLeftChild(self):\n", |
| 41 | + " return self.parent and self.parent.leftChild == self\n", |
| 42 | + "\n", |
| 43 | + " def isRightChild(self):\n", |
| 44 | + " return self.parent and self.parent.rightChild == self\n", |
| 45 | + "\n", |
| 46 | + " def isRoot(self):\n", |
| 47 | + " return not self.parent\n", |
| 48 | + "\n", |
| 49 | + " def isLeaf(self):\n", |
| 50 | + " return not (self.rightChild or self.leftChild)\n", |
| 51 | + "\n", |
| 52 | + " def hasAnyChildren(self):\n", |
| 53 | + " return self.rightChild or self.leftChild\n", |
| 54 | + "\n", |
| 55 | + " def hasBothChildren(self):\n", |
| 56 | + " return self.rightChild and self.leftChild\n", |
| 57 | + "\n", |
| 58 | + " def replaceNodeData(self,key,value,lc,rc):\n", |
| 59 | + " self.key = key\n", |
| 60 | + " self.payload = value\n", |
| 61 | + " self.leftChild = lc\n", |
| 62 | + " self.rightChild = rc\n", |
| 63 | + " if self.hasLeftChild():\n", |
| 64 | + " self.leftChild.parent = self\n", |
| 65 | + " if self.hasRightChild():\n", |
| 66 | + " self.rightChild.parent = self\n", |
| 67 | + "\n", |
| 68 | + "\n", |
| 69 | + "class BinarySearchTree:\n", |
| 70 | + "\n", |
| 71 | + " def __init__(self):\n", |
| 72 | + " self.root = None\n", |
| 73 | + " self.size = 0\n", |
| 74 | + "\n", |
| 75 | + " def length(self):\n", |
| 76 | + " return self.size\n", |
| 77 | + "\n", |
| 78 | + " def __len__(self):\n", |
| 79 | + " return self.size\n", |
| 80 | + "\n", |
| 81 | + " def put(self,key,val):\n", |
| 82 | + " if self.root:\n", |
| 83 | + " self._put(key,val,self.root)\n", |
| 84 | + " else:\n", |
| 85 | + " self.root = TreeNode(key,val)\n", |
| 86 | + " self.size = self.size + 1\n", |
| 87 | + "\n", |
| 88 | + " def _put(self,key,val,currentNode):\n", |
| 89 | + " if key < currentNode.key:\n", |
| 90 | + " if currentNode.hasLeftChild():\n", |
| 91 | + " self._put(key,val,currentNode.leftChild)\n", |
| 92 | + " else:\n", |
| 93 | + " currentNode.leftChild = TreeNode(key,val,parent=currentNode)\n", |
| 94 | + " else:\n", |
| 95 | + " if currentNode.hasRightChild():\n", |
| 96 | + " self._put(key,val,currentNode.rightChild)\n", |
| 97 | + " else:\n", |
| 98 | + " currentNode.rightChild = TreeNode(key,val,parent=currentNode)\n", |
| 99 | + "\n", |
| 100 | + " def __setitem__(self,k,v):\n", |
| 101 | + " self.put(k,v)\n", |
| 102 | + "\n", |
| 103 | + " def get(self,key):\n", |
| 104 | + " if self.root:\n", |
| 105 | + " res = self._get(key,self.root)\n", |
| 106 | + " if res:\n", |
| 107 | + " \n", |
| 108 | + " return res.payload\n", |
| 109 | + " else:\n", |
| 110 | + " return None\n", |
| 111 | + " else:\n", |
| 112 | + " return None\n", |
| 113 | + "\n", |
| 114 | + " def _get(self,key,currentNode):\n", |
| 115 | + " \n", |
| 116 | + " if not currentNode:\n", |
| 117 | + " return None\n", |
| 118 | + " elif currentNode.key == key:\n", |
| 119 | + " return currentNode\n", |
| 120 | + " elif key < currentNode.key:\n", |
| 121 | + " return self._get(key,currentNode.leftChild)\n", |
| 122 | + " else:\n", |
| 123 | + " return self._get(key,currentNode.rightChild)\n", |
| 124 | + "\n", |
| 125 | + " def __getitem__(self,key):\n", |
| 126 | + " return self.get(key)\n", |
| 127 | + "\n", |
| 128 | + " def __contains__(self,key):\n", |
| 129 | + " if self._get(key,self.root):\n", |
| 130 | + " return True\n", |
| 131 | + " else:\n", |
| 132 | + " return False\n", |
| 133 | + "\n", |
| 134 | + " def delete(self,key):\n", |
| 135 | + " \n", |
| 136 | + " if self.size > 1:\n", |
| 137 | + " \n", |
| 138 | + " nodeToRemove = self._get(key,self.root)\n", |
| 139 | + " if nodeToRemove:\n", |
| 140 | + " self.remove(nodeToRemove)\n", |
| 141 | + " self.size = self.size-1\n", |
| 142 | + " else:\n", |
| 143 | + " raise KeyError('Error, key not in tree')\n", |
| 144 | + " elif self.size == 1 and self.root.key == key:\n", |
| 145 | + " self.root = None\n", |
| 146 | + " self.size = self.size - 1\n", |
| 147 | + " else:\n", |
| 148 | + " raise KeyError('Error, key not in tree')\n", |
| 149 | + "\n", |
| 150 | + " def __delitem__(self,key):\n", |
| 151 | + " \n", |
| 152 | + " self.delete(key)\n", |
| 153 | + "\n", |
| 154 | + " def spliceOut(self):\n", |
| 155 | + " if self.isLeaf():\n", |
| 156 | + " if self.isLeftChild():\n", |
| 157 | + " \n", |
| 158 | + " self.parent.leftChild = None\n", |
| 159 | + " else:\n", |
| 160 | + " self.parent.rightChild = None\n", |
| 161 | + " elif self.hasAnyChildren():\n", |
| 162 | + " if self.hasLeftChild():\n", |
| 163 | + " \n", |
| 164 | + " if self.isLeftChild():\n", |
| 165 | + " \n", |
| 166 | + " self.parent.leftChild = self.leftChild\n", |
| 167 | + " else:\n", |
| 168 | + " \n", |
| 169 | + " self.parent.rightChild = self.leftChild\n", |
| 170 | + " self.leftChild.parent = self.parent\n", |
| 171 | + " else:\n", |
| 172 | + " \n", |
| 173 | + " if self.isLeftChild():\n", |
| 174 | + " \n", |
| 175 | + " self.parent.leftChild = self.rightChild\n", |
| 176 | + " else:\n", |
| 177 | + " self.parent.rightChild = self.rightChild\n", |
| 178 | + " self.rightChild.parent = self.parent\n", |
| 179 | + "\n", |
| 180 | + " def findSuccessor(self):\n", |
| 181 | + " \n", |
| 182 | + " succ = None\n", |
| 183 | + " if self.hasRightChild():\n", |
| 184 | + " succ = self.rightChild.findMin()\n", |
| 185 | + " else:\n", |
| 186 | + " if self.parent:\n", |
| 187 | + " \n", |
| 188 | + " if self.isLeftChild():\n", |
| 189 | + " \n", |
| 190 | + " succ = self.parent\n", |
| 191 | + " else:\n", |
| 192 | + " self.parent.rightChild = None\n", |
| 193 | + " succ = self.parent.findSuccessor()\n", |
| 194 | + " self.parent.rightChild = self\n", |
| 195 | + " return succ\n", |
| 196 | + "\n", |
| 197 | + " def findMin(self):\n", |
| 198 | + " \n", |
| 199 | + " current = self\n", |
| 200 | + " while current.hasLeftChild():\n", |
| 201 | + " current = current.leftChild\n", |
| 202 | + " return current\n", |
| 203 | + "\n", |
| 204 | + " def remove(self,currentNode):\n", |
| 205 | + " \n", |
| 206 | + " if currentNode.isLeaf(): #leaf\n", |
| 207 | + " if currentNode == currentNode.parent.leftChild:\n", |
| 208 | + " currentNode.parent.leftChild = None\n", |
| 209 | + " else:\n", |
| 210 | + " currentNode.parent.rightChild = None\n", |
| 211 | + " elif currentNode.hasBothChildren(): #interior\n", |
| 212 | + " \n", |
| 213 | + " succ = currentNode.findSuccessor()\n", |
| 214 | + " succ.spliceOut()\n", |
| 215 | + " currentNode.key = succ.key\n", |
| 216 | + " currentNode.payload = succ.payload\n", |
| 217 | + "\n", |
| 218 | + " else: # this node has one child\n", |
| 219 | + " if currentNode.hasLeftChild():\n", |
| 220 | + " if currentNode.isLeftChild():\n", |
| 221 | + " currentNode.leftChild.parent = currentNode.parent\n", |
| 222 | + " currentNode.parent.leftChild = currentNode.leftChild\n", |
| 223 | + " elif currentNode.isRightChild():\n", |
| 224 | + " currentNode.leftChild.parent = currentNode.parent\n", |
| 225 | + " currentNode.parent.rightChild = currentNode.leftChild\n", |
| 226 | + " else:\n", |
| 227 | + " \n", |
| 228 | + " currentNode.replaceNodeData(currentNode.leftChild.key,\n", |
| 229 | + " currentNode.leftChild.payload,\n", |
| 230 | + " currentNode.leftChild.leftChild,\n", |
| 231 | + " currentNode.leftChild.rightChild)\n", |
| 232 | + " else:\n", |
| 233 | + " \n", |
| 234 | + " if currentNode.isLeftChild():\n", |
| 235 | + " currentNode.rightChild.parent = currentNode.parent\n", |
| 236 | + " currentNode.parent.leftChild = currentNode.rightChild\n", |
| 237 | + " elif currentNode.isRightChild():\n", |
| 238 | + " currentNode.rightChild.parent = currentNode.parent\n", |
| 239 | + " currentNode.parent.rightChild = currentNode.rightChild\n", |
| 240 | + " else:\n", |
| 241 | + " currentNode.replaceNodeData(currentNode.rightChild.key,\n", |
| 242 | + " currentNode.rightChild.payload,\n", |
| 243 | + " currentNode.rightChild.leftChild,\n", |
| 244 | + " currentNode.rightChild.rightChild)\n", |
| 245 | + "\n", |
| 246 | + "\n" |
| 247 | + ] |
| 248 | + }, |
| 249 | + { |
| 250 | + "cell_type": "code", |
| 251 | + "execution_count": 6, |
| 252 | + "metadata": { |
| 253 | + "collapsed": false |
| 254 | + }, |
| 255 | + "outputs": [ |
| 256 | + { |
| 257 | + "name": "stdout", |
| 258 | + "output_type": "stream", |
| 259 | + "text": [ |
| 260 | + "yellow\n", |
| 261 | + "at\n" |
| 262 | + ] |
| 263 | + } |
| 264 | + ], |
| 265 | + "source": [ |
| 266 | + "mytree = BinarySearchTree()\n", |
| 267 | + "mytree[3]=\"red\"\n", |
| 268 | + "mytree[4]=\"blue\"\n", |
| 269 | + "mytree[6]=\"yellow\"\n", |
| 270 | + "mytree[2]=\"at\"\n", |
| 271 | + "\n", |
| 272 | + "print(mytree[6])\n", |
| 273 | + "print(mytree[2])" |
| 274 | + ] |
| 275 | + }, |
| 276 | + { |
| 277 | + "cell_type": "markdown", |
| 278 | + "metadata": {}, |
| 279 | + "source": [ |
| 280 | + "** Check the video for full explanation! **" |
| 281 | + ] |
| 282 | + } |
| 283 | + ], |
| 284 | + "metadata": { |
| 285 | + "kernelspec": { |
| 286 | + "display_name": "Python 2", |
| 287 | + "language": "python", |
| 288 | + "name": "python2" |
| 289 | + }, |
| 290 | + "language_info": { |
| 291 | + "codemirror_mode": { |
| 292 | + "name": "ipython", |
| 293 | + "version": 2 |
| 294 | + }, |
| 295 | + "file_extension": ".py", |
| 296 | + "mimetype": "text/x-python", |
| 297 | + "name": "python", |
| 298 | + "nbconvert_exporter": "python", |
| 299 | + "pygments_lexer": "ipython2", |
| 300 | + "version": "2.7.11" |
| 301 | + } |
| 302 | + }, |
| 303 | + "nbformat": 4, |
| 304 | + "nbformat_minor": 0 |
| 305 | +} |
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