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B. Sereja and Suffixes

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputSereja has an array *a*, consisting of *n* integers *a*_{1}, *a*_{2}, ..., *a*_{n}. The boy cannot sit and do nothing, he decided to study an array. Sereja took a piece of paper and wrote out *m* integers *l*_{1}, *l*_{2}, ..., *l*_{m} (1 ≤ *l*_{i} ≤ *n*). For each number *l*_{i} he wants to know how many distinct numbers are staying on the positions *l*_{i}, *l*_{i} + 1, ..., *n*. Formally, he want to find the number of distinct numbers among *a*_{li}, *a*_{li + 1}, ..., *a*_{n}.?

Sereja wrote out the necessary array elements but the array was so large and the boy was so pressed for time. Help him, find the answer for the described question for each *l*_{i}.

Input

The first line contains two integers *n* and *m* (1 ≤ *n*, *m* ≤ 10^{5}). The second line contains *n* integers *a*_{1}, *a*_{2}, ..., *a*_{n} (1 ≤ *a*_{i} ≤ 10^{5}) — the array elements.

Next *m* lines contain integers *l*_{1}, *l*_{2}, ..., *l*_{m}. The *i*-th line contains integer *l*_{i} (1 ≤ *l*_{i} ≤ *n*).

Output

Print *m* lines — on the *i*-th line print the answer to the number *l*_{i}.

Examples

Input

10 10

1 2 3 4 1 2 3 4 100000 99999

1

2

3

4

5

6

7

8

9

10

Output

6

6

6

6

6

5

4

3

2

1

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