leetcode | Balanced Binary Tree
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Balanced Binary Tree : https://leetcode.com/problems/balanced-binary-tree/
given a binary tree, determine if it is height-balanced.
For this problem, a height-balanced binary tree is defined as a binary tree in which the depth of the two subtrees of every node never differ by more than 1.
解析:
深度优先搜索 DFS:
本题关键点:每个节点的子树都是平衡,整棵树才是平衡的。那么当某一个子树是非平衡时,必须做出标记,以使在计算该非平衡子树的父节点深度时能直接查看,由于树的深度是非负的,因此当存在不平衡子树时,对该不平衡子树的深度标为 -1,然后每次计算深度时,查看是否有深度 -1 的子树。
/** * 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 isBalanced(TreeNode* root) { if (getDepth(root) >= 0) return true; else return false; } int getDepth(TreeNode* root) { if (root == NULL) return 0; int left_depth = getDepth(root->left); int right_depth = getDepth(root->right); if (left_depth < 0 || right_depth < 0 || abs(left_depth-right_depth) > 1) return -1; // left_depth < 0 || right_depth < 0 代表左右子树已经不是平衡树了 return max(left_depth, right_depth)+1; }};
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