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.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.List;
import java.util.Map;
import java.util.Scanner;
import java.util.HashMap;
import java.util.Comparator;
import java.util.Collections;
import java.util.ArrayList;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        Scanner in = new Scanner(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        TaskB solver = new TaskB();
        solver.solve(1, in, out);
        out.close();
    }

    static class TaskB {
        public void solve(int testNumber, Scanner in, PrintWriter out) {
            int n = in.nextInt();

            Map<Integer, TaskB.Line> map = new HashMap<>();
            int[] arr = new int[n];

            for (int i = 0; i < n; i++) {
                int v = in.nextInt();
                arr[i] = v;
                if (!map.containsKey(v)) {
                    map.put(v, new TaskB.Line(0, i));
                }
                TaskB.Line line = map.get(v);
                line.end = i;
                line.v++;
            }
            List<TaskB.Line> list = new ArrayList<>(map.values());
            Collections.sort(list, new Comparator<TaskB.Line>() {

                public int compare(TaskB.Line o1, TaskB.Line o2) {
                    if (o2.v - o1.v == 0) {
                        return (o1.end - o1.start) - (o2.end - o2.start);
                    } else {
                        return o2.v - o1.v;
                    }
                }
            });

            TaskB.Line obj = list.get(0);
            out.print((obj.start + 1) + " " + (obj.end + 1));
        }

        static class Line {
            int v;
            int start;
            int end = 0;

            public Line(int v, int start) {
                this.v = v;
                this.start = start;
            }

        }

    }
}