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
input = sys.stdin.readline
from collections import *

class BIT:
    def __init__(self, n):
        self.n = n
        self.bit = [0]*(n+1)
    
    def add(self, i, x):
        i += 1
        
        while i<=self.n:
            self.bit[i] += x
            i += i&(-i)

    def acc(self, i):
        s = 0
        
        while i>0:
            s += self.bit[i]
            i -= i&(-i)
        
        return s

N, Q = map(int, input().split())
c = list(map(int, input().split()))
prev = [-1]*N
ys = defaultdict(list)

for i in range(N):
    if prev[c[i]-1]!=-1:
        ys[prev[c[i]-1]].append(i)
    
    prev[c[i]-1] = i

rs = defaultdict(list)

for i in range(Q):
    l, r = map(int, input().split())
    rs[l-1].append((i, r-1))

bit = BIT(N)
ans = [-1]*Q

for x in range(N-1, -1, -1):
    for y in ys[x]:
        bit.add(y, 1)
    
    for i, r in rs[x]:
        ans[i] = r-x+1-bit.acc(r+1)

for ans_i in ans:
    print(ans_i)