Problem:
Score : 600 points

Problem Statement

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.

Sample Input 1

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

Sample Output 1

2
3
1

The 1-st, 2-nd, and 3-rd balls from the left have the colors 1, 2, and 1 - two different colors.

The 2-st, 3-rd, and 4-th balls from the left have the colors 2, 1, and 3 - three different colors.

The 3-rd ball from the left has the color 1 - just one color.

Sample Input 2

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

Sample Output 2

1
2
2
1
2
2
6
3
3
3

Solution in PyPy3 (7.3.0) (judge verdict: Wrong Answer)

N, Q = map(int, input().split())
C = list(map(int, input().split()))
tmp = set()
c_left = [0] * (N+1)
for i, c in enumerate(C):
    flg = 0 if c in tmp else 1
    c_left[i+1] = c_left[i] + flg
    tmp.add(c)

tmp = set()
c_right = [0] * (N+1)
for i, c in enumerate(reversed(C)):
    flg = 0 if c in tmp else 1
    c_right[i+1] = c_right[i] + flg
    tmp.add(c)
c_right.reverse()

for i in range(Q):
    l, r = map(int, input().split())
    print(max(c_left[r] - c_left[l], c_right[l-1] - c_right[r-1]) + 1)