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 JAVA):

Solution:
//package codeforces;

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.util.HashMap;
import java.util.Map;
import java.util.Scanner;
import java.util.StringTokenizer;

/**
 * Created by nitin.s on 23/03/16.
 */
public class LongestKGoodSegment {
    public static void main(String[] args) throws IOException {
        FastScanner in = new FastScanner(System.in);
        int n = in.nextInt(), k = in.nextInt();
//        in.nextLine();
//        String[] split = in.nextLine().split(" ");
        int[] a = new int[n];
        for(int i = 0; i < n; ++i) a[i] = in.nextInt();
        Map<Integer, Integer> ms = new HashMap<Integer, Integer>();
        int index = 0;
        int best = 0;
        int left = -1;
        int right = -1;
        for(int y = 0; y < a.length; ++y) {
            while(index < a.length) {
                if(!ms.containsKey(a[index])) {
                    ms.put(a[index], 1);
                } else {
                    ms.put(a[index], ms.get(a[index]) + 1);
                }
                if(ms.size() > k) {
                    ms.put(a[index], ms.get(a[index]) - 1);
                    if(ms.get(a[index]) == 0) {
                        ms.remove(a[index]);
                    }
                    break;
                }
                ++index;
            }
            if(index - y > best) {
                best = index - y;
                left = y + 1;
                right = index;
            }
            ms.put(a[y], ms.get(a[y]) - 1);
            if(ms.get(a[y]) == 0) {
                ms.remove(a[y]);
            }
        }
        System.out.println(left + " " + right);
    }

    static class FastScanner
    {
        BufferedReader br;
        StringTokenizer st;

        public FastScanner(InputStream input)
        {
            br = new BufferedReader(new InputStreamReader(input));
            st = new StringTokenizer("");
        }

        public String next() throws IOException
        {
            if(st.hasMoreTokens())
            {
                return st.nextToken();
            }
            else
            {
                st = new StringTokenizer(br.readLine());
                return next();
            }
        }

        public int nextInt() throws IOException
        {
            return Integer.parseInt(next());
        }
    }
}