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| package main
import "fmt"
type Node struct { key, height int left, right *Node }
func height(node *Node) int { if node == nil { return -1 } return node.height }
func max(a, b int) int { if a > b { return a } return b }
func rotateLeft(node *Node) *Node { rightChild := node.right node.right = rightChild.left rightChild.left = node node.height = max(height(node.left), height(node.right)) + 1 rightChild.height = max(height(rightChild.left), height(rightChild.right)) + 1 return rightChild }
func rotateRight(node *Node) *Node { leftChild := node.left node.left = leftChild.right leftChild.right = node node.height = max(height(node.left), height(node.right)) + 1 leftChild.height = max(height(leftChild.left), height(leftChild.right)) + 1 return leftChild }
func rotateLeftRight(node *Node) *Node { node.left = rotateLeft(node.left) return rotateRight(node) }
func rotateRightLeft(node *Node) *Node { node.right = rotateRight(node.right) return rotateLeft(node) }
func balance(node *Node) *Node { if height(node.left)-height(node.right) > 1 { if height(node.left.left) >= height(node.left.right) { node = rotateRight(node) } else { node = rotateLeftRight(node) } } else if height(node.right)-height(node.left) > 1 { if height(node.right.right) >= height(node.right.left) { node = rotateLeft(node) } else { node = rotateRightLeft(node) } } node.height = max(height(node.left), height(node.right)) + 1 return node }
func put(node *Node, key int) *Node { if node == nil { return &Node{key: key, height: 0} } if key < node.key { node.left = put(node.left, key) } else if key > node.key { node.right = put(node.right, key) } else { return node } return balance(node) }
func findMin(node *Node) *Node { if node == nil { return nil } for node.left != nil { node = node.left } return node }
func deleteMin(node *Node) *Node { if node.left == nil { return node.right } node.left = deleteMin(node.left) return balance(node) }
func delete(node *Node, key int) *Node { if node == nil { return nil } if key < node.key { node.left = delete(node.left, key) } else if key > node.key { node.right = delete(node.right, key) } else { if node.left == nil { return node.right } else if node.right == nil { return node.left } else { successor := findMin(node.right) node.key = successor.key node.right = deleteMin(node.right) } } return balance(node) }
func find(node *Node, key int) *Node { if node == nil { return nil } if key < node.key { return find(node.left, key) } else if key > node.key { return find(node.right, key) } else { return node } }
func main() { var root *Node root = put(root, 10) root = put(root, 20) root = put(root, 30) root = put(root, 40) root = put(root, 50) root = delete(root, 30) fmt.Println(find(root, 10)) fmt.Println(find(root, 20)) fmt.Println(find(root, 30)) fmt.Println(find(root, 40)) fmt.Println(find(root, 50)) }
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