Problem: The array a with n integers is given. Let's call the sequence of one or more consecutive elements in a segment. Also let's call the segment k-good if it contains no more than k different values.

Find any longest k-good segment.

As the input/output can reach huge size it is recommended to use fast input/output methods: for example, prefer to use scanf/printf instead of cin/cout in C++, prefer to use BufferedReader/PrintWriter instead of Scanner/System.out in Java.

Input

The first line contains two integers n, k (1 ≤ k ≤ n ≤ 5·105) — the number of elements in a and the parameter k.

The second line contains n integers ai (0 ≤ ai ≤ 106) — the elements of the array a.

Output

Print two integers l, r (1 ≤ l ≤ r ≤ n) — the index of the left and the index of the right ends of some k-good longest segment. If there are several longest segments you can print any of them. The elements in a are numbered from 1 to n from left to right.

Examples

Input

5 5
1 2 3 4 5


Output

1 5


Input

9 3
6 5 1 2 3 2 1 4 5


Output

3 7


Input

3 1
1 2 3


Output

1 1

Solution (in PYTHON):

Solution:
#!/usr/bin/env python
# -*- coding:utf-8 -*-



def main():
    n = input()
    a = map(int, raw_input().split())
    s = set()
    last_pos = -1
    ans_list = []
    ans_cnt = 0
    for (i, ai) in enumerate(a):
        if ai in s:
            ans_cnt += 1
            ans_list.append([last_pos + 2, i + 1])
            last_pos = i
            s.clear()
        else:
            s.add(ai)

    if ans_cnt == 0:
        print -1
        return 

    print ans_cnt
    for (i, (l, r)) in enumerate(ans_list):
        if i == ans_cnt - 1:
            print l, n
        else:
            print l, r



if __name__ == '__main__':
    main()