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.

https://leetcode.com/problems/minimum-depth-of-binary-tree/

题意就是给定一个二叉树,找出从根节点到叶子节点最低的高度,直接写了个递归,算出所有叶子节点的高度,取最小值。

另外一种很显然就用层次遍历(BFS), 就是按层次遍历这棵树,发现当前节点是叶子节点,就直接返回这个节点的高度。这里有个问题就是怎么记录当前的高度呢?我是这么做的:设置三个变量,upRow,downRow,height,分别代表队列中上一行节点数,下一行节点数,高度,当队列中上一行节点数为0,那么高度+1,把下一行的节点数量(downRow)赋给上一行(upRow),循环不变式是队列非空(!queue.isEmpty())。

Talk is cheap。

import java.util.LinkedList;
import java.util.List; /**
* Created with IntelliJ IDEA.
* User: Blank
* Date: 2015/3/21
*/
public class MinimumDepthofBinaryTree { public int minDepth(TreeNode root) {
int left = Integer.MAX_VALUE, right = Integer.MAX_VALUE;
if (root == null)
return 0;
if (root.right == null && root.left == null)
return 1;
if (root.left != null)
left = minDepth(root.left) + 1;
if (root.right != null)
right = minDepth(root.right) + 1;
return Math.min(left, right);
} public int minDepth2(TreeNode root) {
if (root == null) {
return 0;
}
int upRow = 1, downRow = 0, height = 0;
List<TreeNode> queue = new LinkedList<>();
queue.add(root);
while (!queue.isEmpty()) {
TreeNode node = queue.get(0);
queue.remove(0);
if (node.left == null && node.right == null)
return height + 1;
if (node.left != null) {
queue.add(node.left);
downRow++;
}
if (node.right != null) {
queue.add(node.right);
downRow++;
}
upRow--;
if (upRow == 0) {
height++;
upRow = downRow;
downRow = 0;
}
}
return height;
}
}

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