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:
def main():
	n = input()
	a = map(int,raw_input().split())
	ans = 0
	ans_list=[]
	s = set()
	pre = 0
	for (i,ai) in enumerate(a):
		if ai in s:
			ans += 1
			ans_list.append([pre+1,i+1])
			pre = i+1
			s.clear()
		else:
			s.add(ai)
	if ans == 0:
		print -1
		return
	print ans
	for [l,r] in ans_list:
		ans -= 1
		if ans==0:
			print l,n
		else:	print l,r	
if __name__ == '__main__':
	main()