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 Python (3.8.2) (judge verdict: Time Limit Exceeded)

import sys
import math
import time
sys.setrecursionlimit(int(1e6))
if False:
    dprint = print
else:
    def dprint(*args):
        pass

n, q = list(map(int, input().split()))
c = list(map(int, input().split()))

c_d = [0] * n
col_i = [-1] * n
for i in range(n):
    col = c[i] - 1
    c_d[i] = col_i[col]
    col_i[col] = i

for i in range(q):
    l, r = list(map(int, input().split()))
    l -= 1
    r -= 1
    dup = 0
    for j in range(l, r+1):
        if (l <= c_d[j]):
            dup += 1
    ans = r - l + 1 - dup
    print(ans)