判断一棵树是不是平衡二叉树。
思路:递归。
每个节点的左右子树是平衡二叉树,并且左右子树的高度相差不超过一。
/** * Definition for binary tree * struct TreeNode { * int val; * TreeNode *left; * TreeNode *right; * TreeNode(int x) : val(x), left(NULL), right(NULL) {} * }; */ class Solution { public: int heightTree(TreeNode *root) { if (!root) return 0; int lf = 0, ri = 0; if (root -> left) lf = heightTree(root -> left); if (root -> right) ri = heightTree(root -> right); return max(lf, ri) + 1; } bool isBalanced(TreeNode *root) { if (!root) return true; bool lf, ri; lf = isBalanced(root -> left); ri = isBalanced(root -> right); return lf && ri && (abs(heightTree(root->left)-heightTree(root->right))<=1); } };
思路二:利用中序遍历,对每个节点进行左子树右子树高度相差值进行判断。
/** * Definition for binary tree * struct TreeNode { * int val; * TreeNode *left; * TreeNode *right; * TreeNode(int x) : val(x), left(NULL), right(NULL) {} * }; */ class Solution { public: int heightTree(TreeNode *root) { if (!root) return 0; int lf = 0, ri = 0; if (root -> left) lf = heightTree(root -> left); if (root -> right) ri = heightTree(root -> right); return max(lf, ri) + 1; } bool isBalanced(TreeNode *root) { if (!root) return true; stack<TreeNode *> sta; TreeNode *p = root; while(p || !sta.empty()) { while(p) { sta.push(p); p = p -> left; } if (!sta.empty()) { p = sta.top(); sta.pop(); if (abs(heightTree(p -> left) - heightTree(p -> right)) > 1) return false; p = p -> right; } } return true; } };
leetcode[110] Balanced Binary Tree
原文:http://www.cnblogs.com/higerzhang/p/4132243.html