//二叉树的最小深度
/*
* 给定一个二叉树,找出其最小深度
* 最小深度是从根节点到最近叶子节点的最短路径上的节点数量
* */
public class P18 {
static class TreeNode{
int val;
TreeNode left;
TreeNode right;
//记录当前深度
int deep;
TreeNode(int val, TreeNode left, TreeNode right){
this.val = val;
this.left = left;
this.right = right;
}
}
public static void main(String[] args) {
TreeNode node7 = new TreeNode(7, null, null);
TreeNode node6 = new TreeNode(6, node7, null);
TreeNode node5 = new TreeNode(5, null, null);
TreeNode node4 = new TreeNode(4, null, null);
TreeNode node3 = new TreeNode(3, node6, null);
TreeNode node2 = new TreeNode(2, node4, node5);
TreeNode node1 = new TreeNode(1, node2, node3);
System.out.println(minDepth(node1));
}
//广度优先,从根节点向下计算,一层一层遍历,找到一个根节点就已经是最小深度
//问题是如果一层一层来?遍历2的时候,怎么做到再遍历3?
//利用queue,先1进入queue,如果不是叶子,就把左右节点都入队,
//然后左出队,不是叶子节点,又把孩子进队,右出队.......
public static int minDepth(TreeNode root){
if(root == null){
return 0;
}
Queue<TreeNode> queue = new LinkedList<TreeNode>();
root.deep = 1;
queue.offer(root);
//
while(!queue.isEmpty()){
TreeNode node = queue.poll();
if(node.left == null && node.right == null){
return node.deep;
}
if(node.left != null){
node.left.deep = node.deep + 1;
queue.offer(node.left);
}
if(node.right != null){
node.right.deep = node.deep + 1;
queue.offer(node.right);
}
}
//不会走到这的,会再while中找到叶子节点就返回了
return 0;
}
}