一、 题目描述
求给定二叉树的最小深度。最小深度是指树的根结点到最近叶子结点的最短路径上结点的数量。
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.
二、思路分析
思路1:树的遍历,只要能在遍历过程中记住叶子节点和叶子节点处于的层级(到root有几个节点即可)
思路2:树的层序遍历,层序遍历过程中遇到叶子节点即可得到结果
三、参考代码
思路1
public int run(TreeNode root) {
if (root == null) {
return 0;
}
Map<TreeNode, Integer> map = new HashMap<>();//用于存储非叶子节点到跟的长度
Map<TreeNode, Integer> map2 = new HashMap<>();//用于存储叶子节点到跟的长度
Stack<TreeNode> l3 = new Stack<>();//用于存储遍历中的树节点
l3.push(root);
map.put(root, 0);
while (l3.size() > 0) {
TreeNode tempRoot = l3.pop();
TreeNode left = tempRoot.left;
TreeNode right = tempRoot.right;
if (left != null) {
l3.push(left);
map.put(left, map.get(tempRoot) + 1);
}
if (right != null) {
l3.push(right);
map.put(right, map.get(tempRoot) + 1);
}
if (left == null && right == null) {
map2.put(tempRoot, map.get(tempRoot) + 1);
}
}
int min = Integer.MAX_VALUE;
Set<TreeNode> set = map2.keySet();
for (TreeNode item : set) {
if (map2.get(item) < min) {
min = map2.get(item);
}
}
return min;
}
思路2
public int run(TreeNode root) {
if (root == null) {
return 0;
}
int layer = 1;//用于记录当前层有多少个节点
Queue<TreeNode> queue = new LinkedTransferQueue<>();//用于存储遍历中的树节点
TreeNode layerRightNode = root;
queue.add(root);
while (queue.size() > 0) {
TreeNode tempRoot = queue.remove();
TreeNode left = tempRoot.left;
TreeNode right = tempRoot.right;
if (left != null) {
queue.add(left);
}
if (right != null) {
queue.add(right);
}
if (left == null && right == null) {
return layer;
}
if (layerRightNode == tempRoot) {
layerRightNode = right == null ? left : right;
layer++;
}
}
return layer;
}