LeetCode 104 Maximum Depth of Binary Tree
难度:Easy
题目描述:
找到一颗二叉树的最深深度。
Given a binary tree, find its maximum depth.
The maximum depth is the number of nodes along the longest path from the root node down to the farthest leaf node.
Note: A leaf is a node with no children.
Example:
Given binary tree [3,9,20,null,null,15,7]
,
3
/ \
9 20
/ \
15 7
return its depth = 3.
解题思路:
Solution 1:
解二叉树的题目一般如果难度为easy,则要求iterative和recursive都会写,二叉树的最深深度是左子树和右子树的Max深度,根据这一特性,我们自底向上,时间复杂度O(n), Space O(1), 但因为是递归,所以会占用stack,recursive的写法如下:
public int maxDepth(TreeNode root) {
if (root == null) {
return 0;
}
//get the left and right depth
int leftDep = maxDepth(root.left);
int rightDep = maxDepth(root.right);
return 1 + Math.max(leftDep, rightDep);
}
解题思路:
Solution 2:
使用BFS方法iterative使用一个Queue,每往下一层都加1,最后拿到最深深度。
时间:O(n), 空间 O(n)
public int maxDepth(TreeNode root) {
//iterative
if (root == null) return 0;
Queue<TreeNode> q = new LinkedList<>();
q.offer(root);
int dep = 0;
while(!q.isEmpty()) {
dep++;
int size = q.size();
for(int i = 0; i < size; i++) {
TreeNode now = q.poll();
if (now.left != null) q.offer(now.left);
if (now.right != null) q.offer(now.right);
}
}
return dep;
}
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