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 PYTHON3):

Solution:
n,k=map(int,input().split())
l=[int(i) for i in input().split()]
maxi=0
left=-1 
right=-1 
ans=0
from collections import defaultdict 
d=defaultdict(int)
st=0 
end=0 
for end in range(n): 
    d[l[end]]+=1 
    if d[l[end]]==1:
        ans+=1 
    while ans>k: 
        d[l[st]]-=1 
        if d[l[st]]==0:
            ans-=1 
        st+=1 
    if end-st+1>maxi:
        maxi=end-st+1 
        left=st 
        right=end 


print(left+1,right+1)