Egbert Lin's Blog

“Life is not a race, but a journey to be savoured each step of the way” by Brian Dyson

[LeetCode Road] Minimum Depth of Binary Tree - Solution/C++

111. Minimum Depth of Binary Tree

Question:

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.

Note: A leaf is a node with no children.

Example:

Input: root = [3,9,20,null,null,15,7]
Output: 2

Input: root = [2,null,3,null,4,null,5,null,6]
Output: 5

Constraints:
  • The number of nodes in the tree is in the range [0, 10^5].
  • -1000 <= Node.val <= 1000
  • Source code:

    Version 1

    Idea:
    We can sum up the rules of the binary tree.
    First: If the left subnode and right subnode are exist of leaf node, it can be calculated each depths and use min() to get minimum depth.
    Seconde: If there is NULL either left subnode or right subnode of leaf node, we must use max() to get the maxixmum depth, because "A leaf is a node with no children" based on the question. E.g., if left subnode is NULL, a leaf can't be calculated as 1 depth.

    1
    2
    3
    4
    5
    6
    7
    8
    9
    10
    11
    12
    13
    14
    15
    16
    17
    18
    19
    20
    21
    22
    /**
    * Definition for a binary tree node.
    * struct TreeNode {
    * int val;
    * TreeNode *left;
    * TreeNode *right;
    * TreeNode() : val(0), left(nullptr), right(nullptr) {}
    * TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
    * TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
    * };
    */
    class Solution {
    public:
    int minDepth(TreeNode* root) {
    if(!root) return 0;
    if(root->left && root->right){
    return min(minDepth(root->left), minDepth(root->right)) + 1;
    }else{
    return max(minDepth(root->left), minDepth(root->right)) + 1;
    }
    }
    };