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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int n, k, v[1000005], a[500005];
int main() {
  cin >> n >> k;
  int j = 1, sol = 1, d = 0, x = 1, y = 1;
  for (int i = 1; i <= n; i++) {
    cin >> a[i];
    if (v[a[i]] == 0) d++;
    v[a[i]]++;
    while (d > k) {
      v[a[j]]--;
      if (v[a[j]] == 0) d--;
      j++;
    }
    if (i - j + 1 > sol) {
      sol = i - j + 1;
      x = j;
      y = i;
    }
  }
  cout << x << ' ' << y << '\n';
  return 0;
}