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:
def longest(n,k,a):
    f = [0] * 1000001
    d = 0
    r = 0
    l = 0
    ans_l = 0
    ans_r = 0
    for r in range(0, n):
        f[a[r]] += 1
        if f[a[r]] == 1:
            d +=1
        while d > k:
            f[a[l]] -= 1
            if f[a[l]] == 0:
                d -= 1
            l += 1
        if ans_r - ans_l < r - l:
            ans_r = r
            ans_l = l
    return str(ans_l + 1) + " "+ str(ans_r + 1)
line_1 = list(map(int, input().split()))
n = line_1[0]
k = line_1[1]
line_2 = list(map(int, input().split()))

print(longest(n, k, line_2))
"""
5 5
1 2 3 4 5
"""
"""
9 3
6 5 1 2 3 2 1 4 5
"""
"""
3 1
1 2 3
"""