LeetCode Minimum Depth of Binary Tree

class Solution {
public:
int minDepth(TreeNode *root) {
if (root == NULL) return 0;
int min_depth = INT_MAX;
dfs(root, 0, min_depth);
return min_depth + 1;
}

void dfs(TreeNode *root, int cur_depth, int& min_depth) {
if (root == NULL) return;
if (cur_depth >= min_depth) return;
// we come here means that cur_depth < min_depth
if (root->left == NULL && root->right == NULL) { // this is a leaf node
min_depth = cur_depth;
return;
}

dfs(root->left, cur_depth + 1, min_depth);
dfs(root->right, cur_depth + 1, min_depth);
}
};

采用dfs遍历，对于深度已经超过当前已有最小值得路径进行裁剪。不过这个深度的概念，自己的理解和题目中的好像有些偏差。当然也可以用bfs，因为是求最小高度平均时间上bfs能够更早的发现最小高度，但是空间上dfs来的更少。下面是bfs的代码

class Solution {
public:
int minDepth(TreeNode *root) {
if (root == NULL) return 0;
return bfs(root) + 1;
}

int bfs(TreeNode *root) {
if (root == NULL) return 0;
int depth = 0;
int cur_len = 1;
queue<TreeNode*> q;
q.push(root);
bool hasleft = false;
bool hasright= false;
while (!q.empty()) {
while(cur_len--) {
TreeNode* n = q.front();
q.pop();
hasleft = n->left != NULL;
hasright= n->right != NULL;
if (hasleft) {
q.push(n->left);
}
if (hasright) {
q.push(n->right);
}
if (!hasleft && !hasright) return depth;
}
depth++;
cur_len = q.size();
}
return depth;
}
};

第二轮：

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.

dfs的简洁版本：

class Solution {
private:
int mind;
public:
int minDepth(TreeNode *root) {
if (root == NULL) return 0;
if (root->left == NULL) return minDepth(root->right) + 1;
if (root->right == NULL) return minDepth(root->left) + 1;
return min(minDepth(root->left), minDepth(root->right)) + 1;
}
};

再练一发bfs：

class Solution {
private:
int mind;
public:
int minDepth(TreeNode *root) {
if (root == NULL) {
return 0;
}
queue<TreeNode*> que;
que.push(root);

int depth = 1;
while (!que.empty()) {
int last_len = que.size();
for (int i=0; i<last_len; i++) {
TreeNode* n = que.front();
que.pop();
if (n->left == NULL && n->right == NULL) {
// leaf node
return depth;
}
if (n->left != NULL) {
que.push(n->left);
}

if (n->right != NULL) {
que.push(n->right);
}
}
depth++;
}
return depth;
}
};