You are given a tree with $n$ vertices, each initially labeled with the number $0$.
You have been given $q$ queries, each in one of the following two forms:
- `1 u d` : increase the on vertices that adjacent to $u$ by $d$.
- `2 u` : find the number on vertex $u$.
### Input
- The first line contains 2 integers $n, q$.
- The next $n - 1$ lines, each line contains 2 integers $u, v$, there is an edge between $u$ and $v$.
### Output
- Print the answer for each query of type $2$.
### Constraints
- $1 \le n,q 10^5$.
- $1 \le u, v \le n$.
- $1 \le d \le 10^9$.
### Example
Input:
```
3 2
1 2
1 3
1 1 1
2 3
```
Output:
```
1
```