We have N colored balls arranged in a row from left to right; the color of the i-th ball from the left is c_i.

You are given Q queries. The i-th query is as follows: how many different colors do the l_i-th through r_i-th balls from the left have?

Constraints

• $1\leq N,Q \leq 5 \times 10^5$
• $1\leq c_i \leq N$
• $1\leq l_i \leq r_i \leq N$
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

N Q
$c_1 c_2 \cdots c_N$
l_1 r_1
l_2 r_2
:
l_Q r_Q

Output

Print Q lines. The i-th line should contain the response to the i-th query.

Examples

Input

4 3
1 2 1 3
1 3
2 4
3 3

Output

2
3
1

Input

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

Output

1
2
2
1
2
2
6
3
3
3

见题面

见题面