通过二叉树的先序遍历和中序遍历重建二叉树

题目:假设输入的前序遍历和中序遍历的结果中都不含重复的数字。例如输入前序遍历序列{1,2,4,7,3,5,6,8}和中序遍历序列{4,7,2,1,5,3,8,6},则重建二叉树并返回。牛客网剑指offer4
该题的大体思路如下
在这里插入图片描述
通过图我们可以了解到我们需要不断通过先序遍历获取头节点,根据中序遍历获取其左右子树,每次获取的头节点下都有一棵树,根据此特性可知这是一个递归的思路。代码如下:

import java.util.*;
/**
 * Definition for binary tree
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
public class Solution {
    public TreeNode reConstructBinaryTree(int [] pre,int [] in) {
        if (pre.length == 0) {
            return null;
        }
        
        int rootVal = pre[0];
        TreeNode root = new TreeNode(rootVal);
        
        int leftCount = 0;
        for (int i = 0; i < in.length; i++) {
            if (in[i] == rootVal) {
                leftCount = i;
                break;
            }
        }
        
        int[] leftPre = Arrays.copyOfRange(pre, 1, 1 + leftCount);
        int[] leftIn = Arrays.copyOfRange(in, 0, leftCount);
        TreeNode left = reConstructBinaryTree(leftPre, leftIn);
        root.left = left;
        
        int[] rightPre = Arrays.copyOfRange(pre, 1 + leftCount, pre.length);
        int[] rightIn = Arrays.copyOfRange(in, 1 + leftCount, in.length);
        TreeNode right = reConstructBinaryTree(rightPre, rightIn);
        root.right = right;
        
        return root;
    }
}
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