Given a binary tree, find its minimum depth.
The minimum depth is the number of nodes along the shortest path from the root node down to the nearest leaf node.
/**
* Definition for binary tree
* public class TreeNode {
* int val;
* TreeNode left;
* TreeNode right;
* TreeNode(int x) { val = x; }
* }
*/
//注意题目给出的二叉树深度的概念:根节点到“叶子”节点的路径长。
//对{root!=null, left=right=null}的单节点树,其深度为1 [注:也有教材把单节点树的深度定义为0,leetcode定义为1,否则不accepted]
//在求最小深度时,要避免那些只有单个子节点的节点的干扰,因为其为null的子节点会返回0,在取小比较时可能造成其为叶子节点的假象
//而在求最大深度时,单个子节点为空的非叶子节点不会干扰到结果,因为其返回的0在比较大小取大时会被淘汰,从而间接证明其非叶子节点
public class Solution {
public int minDepth(TreeNode root) {
if (root == null) return 0;
int minleft = minDepth(root.left);
int minright = minDepth(root.right);
if(minleft == 0) return minright+1; //左子节点为null,则其不是叶子节点,只是深度路径上的中间点而已
if(minright == 0) return minleft+1;
int depth = minleft<=minright?minleft:minright;
return depth+1;
}
}