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79 lines
1.7 KiB
79 lines
1.7 KiB
8 months ago
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// File: tree_node.go
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// Created Time: 2022-11-25
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// Author: Reanon (793584285@qq.com)
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package pkg
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// TreeNode 二元樹節點
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type TreeNode struct {
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Val any // 節點值
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Height int // 節點高度
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Left *TreeNode // 左子節點引用
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Right *TreeNode // 右子節點引用
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}
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// NewTreeNode 二元樹節點建構子
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func NewTreeNode(v any) *TreeNode {
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return &TreeNode{
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Val: v,
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Height: 0,
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Left: nil,
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Right: nil,
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}
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}
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// 序列化編碼規則請參考:
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// https://www.hello-algo.com/chapter_tree/array_representation_of_tree/
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// 二元樹的陣列表示:
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// [1, 2, 3, 4, nil, 6, 7, 8, 9, nil, nil, 12, nil, nil, 15]
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// 二元樹的鏈結串列表示:
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//
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// /——— 15
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// /——— 7
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// /——— 3
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// | \——— 6
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// | \——— 12
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//
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// ——— 1
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//
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// \——— 2
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// | /——— 9
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// \——— 4
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// \——— 8
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// SliceToTreeDFS 將串列反序列化為二元樹:遞迴
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func SliceToTreeDFS(arr []any, i int) *TreeNode {
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if i < 0 || i >= len(arr) || arr[i] == nil {
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return nil
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}
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root := NewTreeNode(arr[i])
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root.Left = SliceToTreeDFS(arr, 2*i+1)
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root.Right = SliceToTreeDFS(arr, 2*i+2)
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return root
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}
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// SliceToTree 將切片反序列化為二元樹
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func SliceToTree(arr []any) *TreeNode {
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return SliceToTreeDFS(arr, 0)
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}
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// TreeToSliceDFS 將二元樹序列化為切片:遞迴
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func TreeToSliceDFS(root *TreeNode, i int, res *[]any) {
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if root == nil {
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return
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}
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for i >= len(*res) {
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*res = append(*res, nil)
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}
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(*res)[i] = root.Val
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TreeToSliceDFS(root.Left, 2*i+1, res)
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TreeToSliceDFS(root.Right, 2*i+2, res)
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}
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// TreeToSlice 將二元樹序列化為切片
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func TreeToSlice(root *TreeNode) []any {
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var res []any
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TreeToSliceDFS(root, 0, &res)
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return res
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}
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