|
| 1 | +class Node: |
| 2 | + def __init__(self, key, timer): |
| 3 | + self.key = key |
| 4 | + self.left = None |
| 5 | + self.right = None |
| 6 | + self.timer = timer |
| 7 | + |
| 8 | + def getCopy(self): |
| 9 | + copy = Node(self.key, self.timer) |
| 10 | + copy.left = self.left |
| 11 | + copy.right = self.right |
| 12 | + return copy |
| 13 | + |
| 14 | +class SBST: |
| 15 | + """ |
| 16 | + A simple, balanced, binary search tree. |
| 17 | + Use a K value in (0, 1). |
| 18 | + """ |
| 19 | + #---Initialize--- |
| 20 | + def __init__(self, k=0.9): |
| 21 | + if not(0 < k and k < 1): |
| 22 | + raise ValueError("k must be 0 < k < 1") |
| 23 | + self.__root = None |
| 24 | + self.__k = k |
| 25 | + self.__defaultTimer = 5 |
| 26 | + |
| 27 | + #---Interface--- |
| 28 | + def search(self, key): |
| 29 | + return self.__search(self.__root, key) |
| 30 | + |
| 31 | + def insert(self, key): |
| 32 | + (self.__root, result) = self.__insert(self.__root, key) |
| 33 | + return result |
| 34 | + |
| 35 | + def delete(self, key): |
| 36 | + (self.__root, result) = self.__delete(self.__root, key) |
| 37 | + return result |
| 38 | + |
| 39 | + def inorder(self, callbackFunction): |
| 40 | + self.__inorder(self.__root, callbackFunction) |
| 41 | + |
| 42 | + #---Private Methods--- |
| 43 | + def __search(self, node, key): |
| 44 | + if node == None: |
| 45 | + return False |
| 46 | + elif key < node.key: |
| 47 | + return self.__search(node.left, key) |
| 48 | + elif node.key < key: |
| 49 | + return self.__search(node.right, key) |
| 50 | + else: |
| 51 | + return True |
| 52 | + |
| 53 | + def __insert(self, node, key): |
| 54 | + if node == None: |
| 55 | + return (Node(key, self.__defaultTimer), True) |
| 56 | + elif key < node.key: |
| 57 | + (node.left, result) = self.__insert(node.left, key) |
| 58 | + elif node.key < key: |
| 59 | + (node.right, result) = self.__insert(node.right, key) |
| 60 | + else: |
| 61 | + return (node, False) |
| 62 | + |
| 63 | + self.__update(node) |
| 64 | + return (node, result) |
| 65 | + |
| 66 | + def __delete(self, node, key): |
| 67 | + def getMax(node): |
| 68 | + if node.right == None: |
| 69 | + return node |
| 70 | + return getMax(node.right) |
| 71 | + |
| 72 | + if node == None: |
| 73 | + return (None, False) |
| 74 | + elif key < node.key: |
| 75 | + (node.left, result) = self.__delete(node.left, key) |
| 76 | + elif node.key < key: |
| 77 | + (node.right, result) = self.__delete(node.right, key) |
| 78 | + else: |
| 79 | + if node.left and node.right: |
| 80 | + node.key = getMax(node.left).key |
| 81 | + (node.left, result) = self.__delete(node.left, node.key) |
| 82 | + elif node.left: |
| 83 | + return (node.left, True) |
| 84 | + elif node.right: |
| 85 | + return (node.right, True) |
| 86 | + else: |
| 87 | + return (None, True) |
| 88 | + |
| 89 | + self.__update(node) |
| 90 | + return (node, result) |
| 91 | + |
| 92 | + def __update(self, node): |
| 93 | + node.timer -= 1 |
| 94 | + if node.timer <= 0: |
| 95 | + self.__rebuild(node) |
| 96 | + |
| 97 | + def __rebuild(self, node): |
| 98 | + if type(node) != Node: |
| 99 | + return |
| 100 | + def inorderNodeList(node, nodeList): |
| 101 | + if node == None: |
| 102 | + return |
| 103 | + inorderNodeList(node.left, nodeList) |
| 104 | + nodeList.append(node) |
| 105 | + inorderNodeList(node.right, nodeList) |
| 106 | + |
| 107 | + def buildBalancedTree(nodeList, start, end, k): |
| 108 | + if start > end: |
| 109 | + return None |
| 110 | + node = nodeList[(start+end)//2] |
| 111 | + node.left = buildBalancedTree(nodeList, start, (start+end)//2-1, k) |
| 112 | + node.right = buildBalancedTree(nodeList, (start+end)//2+1, end, k) |
| 113 | + node.timer = max(self.__defaultTimer, int(k*(end-start+1))) |
| 114 | + return node |
| 115 | + |
| 116 | + nodeList = [] |
| 117 | + inorderNodeList(node.getCopy(), nodeList) |
| 118 | + newNode = buildBalancedTree(nodeList, 0, len(nodeList)-1, self.__k) |
| 119 | + (node.key, node.timer, node.left, node.right) = (newNode.key, newNode.timer, newNode.left, newNode.right) |
| 120 | + |
| 121 | + def __inorder(self, node, callback): |
| 122 | + if node == None: |
| 123 | + return |
| 124 | + self.__inorder(node.left, callback) |
| 125 | + callback(node.key) |
| 126 | + self.__inorder(node.right, callback) |
| 127 | + |
| 128 | + |
| 129 | + #---Special Methods--- |
| 130 | + def __repr__(self): |
| 131 | + keyList = [] |
| 132 | + self.__inorder(self.__root, keyList.append) |
| 133 | + return repr(keyList) |
| 134 | + |
| 135 | + def __iter__(self): |
| 136 | + def inorderYield(node): |
| 137 | + if node == None: |
| 138 | + return |
| 139 | + yield from inorderYield(node.left) |
| 140 | + yield node.key |
| 141 | + yield from inorderYield(node.right) |
| 142 | + |
| 143 | + return inorderYield(self.__root) |
| 144 | + |
| 145 | + #---Analysis Tools--- |
| 146 | + def __debug(self, node, depth): |
| 147 | + if node == None: |
| 148 | + return |
| 149 | + self.__debug(node.left, depth+1) |
| 150 | + print(format(node.key, ">7"), format(node.timer, ">7"), format(depth, ">7")) |
| 151 | + self.__debug(node.right, depth+1) |
| 152 | + |
| 153 | + def debug(self): |
| 154 | + print(" key timer depth") |
| 155 | + self.__debug(self.__root, 0) |
| 156 | + |
| 157 | +#---Example Usage--- |
| 158 | +if __name__ == "__main__": |
| 159 | + tree = SBST() |
| 160 | + tree.insert(10) |
| 161 | + tree.insert(15) |
| 162 | + tree.insert(20) |
| 163 | + if tree.search(20) == True: |
| 164 | + print("found") |
| 165 | + |
| 166 | + tree.delete(20) |
| 167 | + if tree.search(20) == False: |
| 168 | + print("not found") |
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