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() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  int n;
  set<int> cur;
  vector<pair<int, int>> seg;
  cin >> n;
  int last = 0;
  for (int i = 0; i < n; i++) {
    int x;
    cin >> x;
    if (cur.count(x)) {
      seg.push_back({last, i});
      last = i + 1;
      cur.clear();
    } else {
      cur.insert(x);
    }
  }
  if (seg.empty()) {
    cout << "-1\n";
  } else {
    if (last != n) {
      seg.back().second = n - 1;
    }
    cout << (int)seg.size() << "\n";
    for (auto &it : seg) {
      cout << it.first + 1 << " " << it.second + 1 << "\n";
    }
  }
}