- Time limit: 1.00 s
- Memory limit: 512 MB
Your task is to process $q$ queries of the form: who is employee $x$'s boss $k$ levels higher up in the hierarchy?
Input
The first input line has two integers $n$ and $q$: the number of employees and queries. The employees are numbered $1,2,\dots,n$, and employee $1$ is the general director.
The next line has $n-1$ integers $e_2,e_3,\dots,e_n$: for each employee $2,3,\dots,n$ their boss.
Finally, there are $q$ lines describing the queries. Each line has two integers $x$ and $k$: who is employee $x$'s boss $k$ levels higher up?
Output
Print the answer for each query. If such a boss does not exist, print $-1$.
Constraints
- $1 \le n,q \le 2 \cdot 10^5$
- $1 \le e_i \le i-1$
- $1 \le x \le n$
- $1 \le k \le n$
Input:
5 3
1 1 3 3
4 1
4 2
4 3
Output:
3
1
-1