# 100. Same Tree

## problem description

Given two binary trees, write a function to check if they are the same or not.

Two binary trees are considered the same if they are structurally identical and the nodes have the same value.

**Example 1:**

```
Input:     1         1
          / \       / \
         2   3     2   3

        [1,2,3],   [1,2,3]

Output: true
```

**Example 2:**

```
Input:     1         1
          /           \
         2             2

        [1,2],     [1,null,2]

Output: false
```

**Example 3:**

```
Input:     1         1
          / \       / \
         2   1     1   2

        [1,2,1],   [1,1,2]

Output: false
```

## algorithm thought

树问题，递归解决，首先判断当前节点问题，然后对左右子树分别进行同样的计算。

## code

```cpp
/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
 * };
 */
class Solution {
public:
    bool isSameTree(TreeNode* p, TreeNode* q) {
        if(p==NULL&&q==NULL)
            return true;
        if(p&&q&&(p->val==q->val)){
            return isSameTree(p->left,q->left)&&isSameTree(p->right,q->right);
        }
        return false;
    }
};
```

## algorithm analysis

相当于对树进行了一次遍历，时间复杂度O(n)