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105. 从前序与中序遍历序列构造二叉树

原题链接:LeetCode 105. 从前序与中序遍历序列构造二叉树

题目描述

给定两个整数数组 preorderinorder ,其中 preorder 是二叉树的先序遍历inorder 是同一棵树的中序遍历,请构造二叉树并返回其根节点。

示例 1:

输入**😗* preorder = [3,9,20,15,7], inorder = [9,3,15,20,7] 输出: [3,9,20,null,null,15,7]

示例 2:

输入: preorder = [-1], inorder = [-1] 输出: [-1]

提示:

- `1 <= preorder.length <= 3000`

- `inorder.length == preorder.length`

- `-3000 <= preorder[i], inorder[i] <= 3000`

- `preorder` 和 `inorder` 均 **无重复** 元素

- `inorder` 均出现在 `preorder`

- `preorder` **保证** 为二叉树的前序遍历序列

- `inorder` **保证** 为二叉树的中序遍历序列

难度: Medium


题解代码

javascript
/**
 * Definition for a binary tree node.
 * function TreeNode(val, left, right) {
 *     this.val = (val===undefined ? 0 : val)
 *     this.left = (left===undefined ? null : left)
 *     this.right = (right===undefined ? null : right)
 * }
 */
/**
 * @param {number[]} preorder
 * @param {number[]} inorder
 * @return {TreeNode}
 */
var buildTree = function(preorder, inorder) {
  const hash = {}, end = inorder.length - 1
  for (let i = 0; i < inorder.length; i++) {
    hash[inorder[i]] = i
  }
  return genTree(preorder, 0, end, inorder, 0, end, hash)
};

function genTree (preorder, p_start, p_end, inorder, i_start, i_end, hash) {
  if (p_start > p_end) return null
  const root = new TreeNode(preorder[p_start])
  const root_idx = hash[root.val]
  const leftNum = root_idx - i_start
  root.left = genTree(preorder, p_start + 1, p_start + leftNum, inorder, i_start, root_idx, hash)
  root.right = genTree(preorder, p_start + 1 + leftNum, p_end, inorder, root_idx + 1, i_end, hash)
  return root
}

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