Jeff and Removing Periods

Cosider a sequence, consisting of n integers: a1, a2, ..., an. Jeff can perform the following operation on sequence a:

• take three integers v, t, k (1 ≤ v, t ≤ n; 0 ≤ k; v + tk ≤ n), such that av = av + t, av + t = av + 2t, ..., av + t(k - 1) = av + tk;
• remove elements av, av + t, ..., av + t·k from the sequence a, the remaining elements should be reindexed a1, a2, ..., an - k - 1.
• permute in some order the remaining elements of sequence a.

A beauty of a sequence a is the minimum number of operations that is needed to delete all elements from sequence a.

Jeff's written down a sequence of m integers b1, b2, ..., bm. Now he wants to ask q questions. Each question can be described with two integers li, ri. The answer to the question is the beauty of sequence bli, bli + 1, ..., bri. You are given the sequence b and all questions. Help Jeff, answer all his questions.

Input

The first line contains integer m (1 ≤ m ≤ 105). The next line contains m integers b1, b2, ..., bm (1 ≤ bi ≤ 105).

The third line contains integer q (1 ≤ q ≤ 105) — the number of questions. The next q lines contain pairs of integers, i-th of them contains a pair of integers li, ri (1 ≤ li ≤ ri ≤ m) — the description of i-th question.

Output

In q lines print the answers to Jeff's queries. Print the answers according to the order of questions in input.

Examples

Input

5 2 2 1 1 2 5 1 5 1 1 2 2 1 3 2 3

Output

2 1 1 2 2

Input

10 2 1 3 3 3 3 1 3 1 1 10 4 8 2 10 1 10 4 4 1 3 2 4 6 7 1 9 2 5 1 1

Output

2 3 3 1 3 2 2 3 2 1

inputFormat

Input

The first line contains integer m (1 ≤ m ≤ 105). The next line contains m integers b1, b2, ..., bm (1 ≤ bi ≤ 105).

The third line contains integer q (1 ≤ q ≤ 105) — the number of questions. The next q lines contain pairs of integers, i-th of them contains a pair of integers li, ri (1 ≤ li ≤ ri ≤ m) — the description of i-th question.

outputFormat

Output

In q lines print the answers to Jeff's queries. Print the answers according to the order of questions in input.

Examples

Input

5 2 2 1 1 2 5 1 5 1 1 2 2 1 3 2 3

Output

2 1 1 2 2

Input

10 2 1 3 3 3 3 1 3 1 1 10 4 8 2 10 1 10 4 4 1 3 2 4 6 7 1 9 2 5 1 1

Output

2 3 3 1 3 2 2 3 2 1

样例

5
2 2 1 1 2
5
1 5
1 1
2 2
1 3
2 3

2
1
1
2
2

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