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 main() {
  vector<pair<int, int>> ans;
  set<int> temp;
  int n, lol;
  int l = 1;
  cin >> n;
  for (int i = 0; i < n; i++) {
    cin >> lol;
    if (temp.find(lol) != temp.end()) {
      ans.push_back({l, i + 1});
      l = i + 2;
      temp.clear();
    } else
      temp.insert(lol);
  }
  if (ans.size() == 0)
    cout << -1;
  else {
    cout << ans.size() << endl;
    for (int i = 0; i < ans.size() - 1; i++)
      cout << ans[i].first << " " << ans[i].second << endl;
    cout << ans[ans.size() - 1].first << " " << n << endl;
  }
  return 0;
}