403664: GYM101237 A MEX-Query

Memory Limit:512 MB Time Limit:2 S
Judge Style:Text Compare Creator:
Submit:0 Solved:0

Description

A. MEX-Querytime limit per test2.5 secondsmemory limit per test512 megabytesinputstandard inputoutputstandard output

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(minimum excludant) of a finite set of nonnegative integers S is the minimal non-negative integer .

You are given a 1-indexed array A consisting of N nonnegative integers, and also Q queries (Li, Ri). For each query (Li, Ri), find a for the subsegment of this array with indices from Li to Ri inclusive.

Input

The first line contains N, the size of the array (1 ≤ N ≤ 1 000 000).

The second line contains N integers Ai (0 ≤ Ai ≤ 1 000 000) separated by spaces.

The third line contains Q, the number of queries you need to process (1 ≤ Q ≤ 1 000 000).

The following Q lines contain the description of the queries in the form Li Ri (1 ≤ Li ≤ Ri ≤ N).

Output

For each query according to their order in the input, print the -value of the corresponding subsegment on a separate line.

ExamplesInput
10
2 0 1 3 0 0 2 4 7 1
7
1 2
5 6
5 10
1 3
1 5
6 6
7 8
Output
1
1
3
3
4
1
0

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