LeetCode112. Path Sum判断二叉树是否存在一条总值为sum的路径 #算法# 第十周

2022-06-23 11:24:45 浏览数 (2)

原题如下

Given a binary tree and a sum, determine if the tree has a root-to-leaf path such that adding up all the values along the path equals the given sum. 给定一棵二叉树和sum,判断是否存在这样的一条从根到叶子的路径,它的路径上的值的总和等于sum。 Note: A leaf is a node with no children.

Example:

Given the below binary tree and sum = 22,

代码语言:javascript复制
      5
     / 
    4   8
   /   / 
  11  13  4
 /        
7    2      1

return true, as there exist a root-to-leaf path 5->4->11->2 which sum is 22.

思路

要判断是否存在这样的路径,需要判断其左右子树是否存在总值和为 (sum - root->val)的路径,这样就把问题拆为了子问题,可以不断递归下去。

代码

代码语言:javascript复制
/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
 * };
 */
class Solution {
public:
    bool hasPathSum(TreeNode* root, int sum) {
        if(root == NULL) return false;
        if(root->left == NULL && root->right == NULL) return root->val == sum;
        return hasPathSum(root->left, sum - root->val)
            || hasPathSum(root->right, sum - root->val);
    }
};

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