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.
感觉树需要很多工具类的方法,其实都是改造出来的,如果做这道题就方便了,求树的高度,可以看之前的blog。http://blog.csdn.net/my_jobs/article/details/47662437 所以,直接按题意改造就可以了,上代码: public boolean isBalanced(TreeNode root) {
if (root == null) return true;
if (Math.abs(maxDepth(root.left)-maxDepth(root.right)) > 1) return false;
return isBalanced(root.left) && isBalanced(root.right);
}
private int maxDepth(TreeNode root) {
if (root == null) return 0;
return Math.max(maxDepth(root.left), maxDepth(root.right))+1;
} public boolean isBalanced(TreeNode root) {
if (root == null) return true;
if (depth(root) == -1) return false;
return true;
}
private int depth(TreeNode root) {
if (root == null) return 0;
int left = depth(root.left);
int right = depth(root.right);
if (left == -1 || right == -1) return -1;
if (Math.abs(left-right) > 1) return -1;
return Math.max(left, right)+1;
}其实,树的这种递推性质,如果可以自下向上都是对之前算法的一个很好的优化!!!多感悟此类问题。
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原文:http://blog.csdn.net/my_jobs/article/details/47663845