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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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原文地址:http://blog.csdn.net/my_jobs/article/details/47663845