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| 1 | +class TreeNode: |
| 2 | + '''A node for the Binary Search Tree ''' |
| 3 | + |
| 4 | + def __init__(self,key,val,left=None,right=None,parent=None): |
| 5 | + self.key = key |
| 6 | + self.payload = val |
| 7 | + self.leftChild = left |
| 8 | + self.rightChild = right |
| 9 | + self.parent = parent |
| 10 | + |
| 11 | + def hasLeftChild(self): |
| 12 | + return self.leftChild |
| 13 | + |
| 14 | + def hasRightChild(self): |
| 15 | + return self.rightChild |
| 16 | + |
| 17 | + def isLeftChild(self): |
| 18 | + return self.parten and self.parent.leftChild == self |
| 19 | + |
| 20 | + def isRightChild(self): |
| 21 | + return self.parent and self.parent.rightChild == self |
| 22 | + |
| 23 | + def isRoot(self): |
| 24 | + return not self.parent |
| 25 | + |
| 26 | + def isLeaf(self): |
| 27 | + return not (rightChild or self.leftChild) |
| 28 | + |
| 29 | + def hasAnyChildren(self): |
| 30 | + return self.rightChild or self.leftChild |
| 31 | + |
| 32 | + def hasBothChildren(self): |
| 33 | + return self.rightChild and self.leftChild |
| 34 | + |
| 35 | + def replaceNodeData(self,key,value,lc,rc): |
| 36 | + self.key = key |
| 37 | + self.payload = value |
| 38 | + self.leftChild = lc |
| 39 | + self.rightChild = rc |
| 40 | + if self.hasLeftChild(): |
| 41 | + self.leftChild.parent = self |
| 42 | + if self.hasRightChild(): |
| 43 | + self.rightChild.parent = self |
| 44 | + |
| 45 | + def findSuccessor(self): |
| 46 | + succ = None |
| 47 | + if self.hasRightChild(): |
| 48 | + succ = self.rightChild.findMin() |
| 49 | + else: |
| 50 | + if self.parent: |
| 51 | + if self.isLeftChild(): |
| 52 | + succ = self.parent |
| 53 | + else: |
| 54 | + self.parent.rightChild = None |
| 55 | + succ = self.parent.findSuccessor() |
| 56 | + self.parent.rightChild =self |
| 57 | + return succ |
| 58 | + |
| 59 | + def findMin(self): |
| 60 | + current = self |
| 61 | + while current.hasLeftChild(): |
| 62 | + current = current.leftChild |
| 63 | + return current |
| 64 | + |
| 65 | + def spliceOut(self): |
| 66 | + if self.isLeaf(): |
| 67 | + if self.isLeftChild(): |
| 68 | + self.parent.leftChild = None |
| 69 | + else: |
| 70 | + self.parent.rightChild = None |
| 71 | + elif self.hasAnyChildren(): |
| 72 | + if self.hasLeftChild(): |
| 73 | + if self.isLeftChild(): |
| 74 | + self.parent.leftChild = self.leftChild |
| 75 | + else: |
| 76 | + self.parent.rightChild = self.leftChild |
| 77 | + self.leftChild.parent = self.parent |
| 78 | + else: |
| 79 | + if self.isLeftChild(): |
| 80 | + self.parent.rightChild = self.rightChild |
| 81 | + else: |
| 82 | + self.parent.rightChild = self.rightChild |
| 83 | + self.rightChild.parent = self.parent |
| 84 | + def __iter__(self): |
| 85 | + if self: |
| 86 | + if self.hasLeftChild(): |
| 87 | + for elem in self.leftChild: |
| 88 | + yield elem |
| 89 | + yield self.key |
| 90 | + if self.hasRightChild(): |
| 91 | + for elm in self.rightChild: |
| 92 | + yield elem |
| 93 | + |
| 94 | +class BinarySearchTree: |
| 95 | + |
| 96 | + def __init__(self): |
| 97 | + self.root = None |
| 98 | + self.size = 0 |
| 99 | + |
| 100 | + def length(self): |
| 101 | + return self.size |
| 102 | + |
| 103 | + def __len__(self): |
| 104 | + return self.size |
| 105 | + |
| 106 | + def __iter__(self): |
| 107 | + return self.root.__iter__() |
| 108 | + |
| 109 | + def put(self,key,val): |
| 110 | + if self.root: |
| 111 | + self._put(key,val,self.root) |
| 112 | + else: |
| 113 | + self.root = TreeNode(key,val) |
| 114 | + self.size = self.size + 1 |
| 115 | + |
| 116 | + def _put(self,key,val,currentNode): |
| 117 | + if key < currentNode.key: |
| 118 | + if currentNode.hasLeftChild(): |
| 119 | + self._put(key,val,currentNode.leftChild) |
| 120 | + else: |
| 121 | + currentNode.leftChild = TreeNode(key,val,parent=currentNode) |
| 122 | + elif key == currentNode.key: |
| 123 | + currentNode.payload = val |
| 124 | + else: |
| 125 | + if currentNode.hasRightChild(): |
| 126 | + self._put(key,val,currentNode.rightChild) |
| 127 | + else: |
| 128 | + currentNode.rightChild = TreeNode(key,val,parent=currentNode) |
| 129 | + |
| 130 | + def __setitem__(self,k,v): |
| 131 | + self.put(k,v) |
| 132 | + |
| 133 | + def get(self,key): |
| 134 | + if self.root: |
| 135 | + res = self._get(key,self.root) |
| 136 | + if res: |
| 137 | + return res.payload |
| 138 | + else: |
| 139 | + return None |
| 140 | + else: |
| 141 | + return None |
| 142 | + |
| 143 | + def _get(self,key,currentNode): |
| 144 | + if not currentNode: |
| 145 | + return None |
| 146 | + elif currentNode.key == key: |
| 147 | + return currentNode |
| 148 | + elif key < currentNode.key: |
| 149 | + return self._get(key,currentNode.leftChild) |
| 150 | + else: |
| 151 | + return self._get(key,currentNode.rightChild) |
| 152 | + |
| 153 | + def __getitem__(self,key): |
| 154 | + return self.get(key) |
| 155 | + |
| 156 | + def __contains__(self,key): |
| 157 | + if self._get(key,self.root): |
| 158 | + return True |
| 159 | + else: |
| 160 | + return False |
| 161 | + |
| 162 | + def delete(self,key): |
| 163 | + if self.size > 1: |
| 164 | + nodeToRemove = self._get(key,self.root) |
| 165 | + if nodeToRemove: |
| 166 | + self.remove(nodeToRemove) |
| 167 | + self.size = self.size-1 |
| 168 | + else: |
| 169 | + raise KeyError('Error, key not in tree') |
| 170 | + elif self.size == 1 and self.root.key == key: |
| 171 | + self.root = None |
| 172 | + self.size = self.size - 1 |
| 173 | + else: |
| 174 | + raise KeyError('Error, key not in tree') |
| 175 | + |
| 176 | + def __delitem__(self,key): |
| 177 | + self.delete(key) |
| 178 | + |
| 179 | + def remove(self,currentNode): |
| 180 | + if currentNode.isLeaf(): #leaf |
| 181 | + if currentNode == currentNode.parent.leftChild: |
| 182 | + currentNode.parent.leftChild = None |
| 183 | + else: |
| 184 | + currentNode.parent.rightChild= None |
| 185 | + elif currentNode.hasBothChildren(): #interior |
| 186 | + succ = currentNode.findSuccessor() |
| 187 | + succ.spliceOut() |
| 188 | + currentNode.key = succ.key |
| 189 | + currentNode.payload = succ.payload |
| 190 | + else: #this node has one child |
| 191 | + if currentNode.hasLeftChild(): |
| 192 | + if currentNode.isLeftChild(): |
| 193 | + currentNode.leftChild.parent = currentNode.parent |
| 194 | + currentNode.parent.leftChild = currentNode.leftChild |
| 195 | + elif currentNode.isRightChild(): |
| 196 | + currentNode.leftChild.parent = currentNode.parent |
| 197 | + currentNode.parent.rightChild = currentNode.leftChild |
| 198 | + else: |
| 199 | + currentNode.replaceNodeData(currentNode.leftChild.key, |
| 200 | + currentNode.leftChild.payload, |
| 201 | + currentNode.leftChild.leftChild, |
| 202 | + currentNode.leftChild.rightChild) |
| 203 | + else: |
| 204 | + if currentNode.isLeftChild(): |
| 205 | + currentNode.rightChild.parent = currentNode.parent |
| 206 | + currentNode.parent.leftChild = currentNode.rightChild |
| 207 | + elif currentNode.isRightChild(): |
| 208 | + currentNode.rightChild.parent = currentNode.parent |
| 209 | + currentNode.parent.rightChild = currentNode.rightChild |
| 210 | + else: |
| 211 | + currentNode.replaceNodeData(currentNode.rightChild.key, |
| 212 | + currentNode.rightChild.payload, |
| 213 | + currentNode.rightChild.leftChild, |
| 214 | + currentNode.rightChild.rightChild) |
| 215 | + |
| 216 | +mytree = BinarySearchTree() |
| 217 | +mytree[3]="red" |
| 218 | +mytree[4]="blue" |
| 219 | +mytree[6]="yellow" |
| 220 | +mytree[2]="at" |
| 221 | + |
| 222 | +print(mytree[6]) |
| 223 | +print(mytree[2]) |
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