- Time limit: 1.00 s
- Memory limit: 512 MB
Input
The first input line contains an integer $n$: the number of nodes. The nodes are numbered $1,2,…,n$.
Then there are $n-1$ lines describing the edges. Each line contains two integers $a$ and $b$: there is an edge between nodes $a$ and $b$.
Output
Print one integer: a centroid node. If there are several possibilities, you can choose any of them.
Constraints
- $1 \le n \le 2 \cdot 10^5$
- $1 \le a,b \le n$
Input:
5
1 2
2 3
3 4
3 5
Output:
3