Problem: Amr has got a large array of size n. Amr doesn't like large arrays so he intends to make it smaller.

Amr doesn't care about anything in the array except the beauty of it. The beauty of the array is defined to be the maximum number of times that some number occurs in this array. He wants to choose the smallest subsegment of this array such that the beauty of it will be the same as the original array.

Help Amr by choosing the smallest subsegment possible.

Input

The first line contains one number n (1 ≤ n ≤ 105), the size of the array.

The second line contains n integers ai (1 ≤ ai ≤ 106), representing elements of the array.

Output

Output two integers l, r (1 ≤ l ≤ r ≤ n), the beginning and the end of the subsegment chosen respectively.

If there are several possible answers you may output any of them. 

Examples

Input

5
1 1 2 2 1


Output

1 5

Input

5
1 2 2 3 1


Output

2 3

Input

6
1 2 2 1 1 2


Output

1 5

Note

A subsegment B of an array A from l to r is an array of size r - l + 1 where Bi = Al + i - 1 for all 1 ≤ i ≤ r - l + 1

Solution (in JAVA):

Solution:
import java.io.*;
import java.text.DecimalFormat;
import java.util.*;

public class Main {

	static InputStream inputStream = System.in;
	static OutputStream outputStream = System.out;
	static Scanner in = new Scanner(inputStream);
	static PrintWriter out = new PrintWriter(outputStream);

	public static void main(String[] args) {
		int n = in.nextInt();
		int l[] = new int[1000005];
		int r[] = new int[1000005];
		int times[] = new int[1000005];
		int maxtimes = 0;
		for(int i = 0;i<n;i++){
			int x = in.nextInt();
			times[x]++;
			maxtimes = Math.max(maxtimes, times[x]);
			if(times[x]==1){
				l[x]=i;
			}
				r[x]=i;
		}
		int min = -1;
		int minlen = Integer.MAX_VALUE;
		for(int i = 0;i<1000005;i++){
			if(times[i]==maxtimes){
				int len = r[i]-l[i];
				if(len<minlen){
					min = i;
					minlen = len;
				}
			}
		}
		out.println((++l[min])+" "+(++r[min]));
		out.close();
	}

	static void debug(int a[]) {
		out.println("----------debug----------");
		for (int i = 0; i < a.length; i++) {
			out.print(a[i] + " ");
		}
		out.println();
		out.println("----------debug----------");
	}
}

class Scanner {
	BufferedReader br;
	StringTokenizer st;

	public Scanner(InputStream in) {
		br = new BufferedReader(new InputStreamReader(in));
		eat("");
	}

	private void eat(String s) {
		st = new StringTokenizer(s);
	}

	public String nextLine() {
		try {
			return br.readLine();
		} catch (IOException e) {
			return null;
		}
	}

	public boolean hasNext() {
		while (!st.hasMoreTokens()) {
			String s = nextLine();
			if (s == null)
				return false;
			eat(s);
		}
		return true;
	}

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

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

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

	public double nextDouble() {
		return Double.parseDouble(next());
	}
}