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:
import java.util.*;
import java.io.*;

public class D {
    public static void main(String[] args) {

        QuickScanner in = new QuickScanner(System.in);
        int n = in.nextInt();
        int k = in.nextInt();

        int[] cc = new int[1000010];
        int[] arr = new int[n];
        for (int i = 0; i < n; i++)
            arr[i] = in.nextInt();

        int l, r, now, nk;
        l = r = now = nk = 0;

        for (int i = 0; i < n; i++)
        {
            while (now < n && (nk < k || (nk == k && cc[arr[now]] != 0)))
            {
                if (cc[arr[now]] == 0)
                    ++nk;
                ++cc[arr[now]];
                ++now;
            }
            if (now - i > r - l)
            {
                r = now;
                l = i;
            }
            if (--cc[arr[i]] == 0)
                --nk;
        }

        System.out.println( (l+1) + " " + r);
    }

}



































class QuickScanner {
    BufferedReader in;
    StringTokenizer token;
    String delim;
    public QuickScanner(InputStream inputStream)
    {
        this.in=new BufferedReader(new InputStreamReader(inputStream));
        this.delim=" \n\t";
        this.token=new StringTokenizer("",delim);
    }

    public boolean hasNext()
    {
        while(!token.hasMoreTokens())
        {
            try {
                String s=in.readLine();
                if(s==null) return false;
                token=new StringTokenizer(s,delim);
            } catch (IOException e) {
                throw new InputMismatchException();
            }
        }
        return true;
    }

    public String next()
    {
        hasNext();
        return token.nextToken();
    }

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

}