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.io.BufferedReader;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.StringTokenizer;
import java.util.TreeMap;

    public class D{
        
        
        public static void main(String[] args) throws IOException {
            
            
            Scanner sc = new Scanner(System.in);
            PrintWriter out = new PrintWriter(System.out);
        
            int n = sc.nextInt(), k = sc.nextInt();
            int l = 0, r = -1;
            int[] a = new int[n];
            for(int i = 0; i < n; ++i)
                a[i] = sc.nextInt();
            
            int[] freq = new int[(int)1e6 + 1];
            
            for(int i = 0, j = 0, dist = 0; j < n; ++j)
            {
                if(freq[a[j]]++ == 0)
                    ++dist;
                
                while(i < j && dist > k)
                {
                    
                    if(--freq[a[i]] == 0)
                        --dist;
                    ++i;
                }
                
                if(j - i > r - l)
                {
                    l = i;
                    r = j;
                }
                
            }
            
            out.format("%d %d\n", l + 1, r + 1);
            out.flush();
            out.close();
        }


    static class Scanner 
    {
        StringTokenizer st;
        BufferedReader br;

        public Scanner(FileReader fileReader) throws FileNotFoundException{ br = new BufferedReader(fileReader);}

        public Scanner(InputStream s) throws FileNotFoundException{ br = new BufferedReader(new InputStreamReader(s));}

        public String next() throws IOException 
        {
            while (st == null || !st.hasMoreTokens()) 
                st = new StringTokenizer(br.readLine());
            return st.nextToken();
        }

        public double nextDouble() throws IOException
        {
            String x = next();
            StringBuilder sb = new StringBuilder("0");
            double res = 0, f = 1;
            boolean dec = false, neg = false;
            int start = 0;
            if(x.charAt(0) == '-')
            {
                neg = true;
                start++;
            }
            for(int i = start; i < x.length(); i++)
                if(x.charAt(i) == '.')
                {
                    res = Long.parseLong(sb.toString());
                    sb = new StringBuilder("0");
                    dec = true;
                }
                else
                {
                    sb.append(x.charAt(i));
                    if(dec)
                        f *= 10;
                }
            res += Long.parseLong(sb.toString()) / f;
            return res * (neg?-1:1);
        }


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

        public long nextLong() throws IOException {return Long.parseLong(next());}

        public String nextLine() throws IOException {return br.readLine();}

        public boolean ready() throws IOException {return br.ready(); }


    }

}