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CSES Problem Set

Range Minimum Queries I


Task | Statistics


CSES - Range Minimum Queries ICSES - Range Minimum Queries I

Time limit:1.00 s Memory limit:512 MB

Given an array of $n$ integers, your task is to process $q$ queries of the form: what is the minimum value in range $[a,b]$?

Input

The first input line has two integers $n$ and $q$: the number of values and queries.

The second line has $n$ integers $x_1,x_2,\dots,x_n$: the array values.

Finally, there are $q$ lines describing the queries. Each line has two integers $a$ and $b$: what is the minimum value in range $[a,b]$?

Output

Print the result of each query.

Constraints
Example

Input:
8 4
3 2 4 5 1 1 5 3
2 4
5 6
1 8
3 3


Output:
2
1
1
4