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LeetCode OJ - Balanced Binary Tree

2024-07-02 22:00:19   226人阅读

判断树是否是平衡的，这道题中的平衡的概念是指任意节点的两个子树的高度相差不超过1，我用递归的方法把所有的节点的高度都计算了下，并且在计算的过程记录每个节点左右两颗子树的高度差，最后通过遍历这个高度差就可以知道是否是平衡的。

下面是AC代码：

 1  /**
 2      * Given a binary tree, determine if it is height-balanced.
 3      * For this problem, a height-balanced binary tree is defined as a binary tree 
 4      * in which the depth of the two subtrees of every node never differ by more than 1.
 5      * @param root
 6      * @return
 7      */
 8     public boolean isBalanced(TreeNode root){
 9         ArrayList<Integer> hd = new ArrayList<Integer>();
10         heightRec(root, hd);
11         for(int i: hd)
12             if(i>1)
13                 return false;
14         return true;
15     }
16     /**
17      * 
18      * @param root
19      * @param difference is for recording the difference of the height between the two subtrees
20      * @return
21      */
22     private int heightRec(TreeNode root, ArrayList<Integer> difference){
23         if(root == null)
24             return 0;
25         if(root.left==null && root.right ==null)
26             return 1;
27         int leftH = heightRec(root.left, difference);
28         int rightH = heightRec(root.right,difference);
29         difference.add(Math.abs(leftH-rightH));
30         return Math.max(leftH, rightH )+1;
31     }

 


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