Problem8822--[yosupo] Data Structure - Static RMQ

8822: [yosupo] Data Structure - Static RMQ

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Time Limit : 1.000 sec  Memory Limit : 512 MiB

Description

You are given an integer sequence $a_0, a_1, ..., a_{N-1}$ with the length $N$.
Process the following $Q$ queries in order:

- $l_i$ $r_i$: Print $\min(a_{l_i}, a_{l_i + 1}, ..., a_{r_i - 1})$.

Input

$N$ $Q$
$a_0$ $a_1$ ... $a_{N - 1}$
$l_1$ $r_1$
$l_2$ $r_2$
:
$l_Q$ $r_Q$

Constraints

$1 \leq N, Q \leq 500,000$
$0 \leq a_i \leq 10^9$
$0 \leq l_i < r_i \leq N$

Sample 1 Input

4 10
2 10 1 100
0 1
0 2
0 3
0 4
1 2
1 3
1 4
2 3
2 4
3 4

Sample 1 Output

2
2
1
1
10
1
1
1
1
100

HINT

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