n soldiers stand in a circle. For each soldier his height ai is known. A reconnaissance unit can be made of such two neighbouring soldiers, whose heights difference is minimal, i.e. |ai - aj| is minimal. So each of them will be less noticeable with the other. Output any pair of soldiers that can form a reconnaissance unit.

Input

The first line contains integer n (2 ≤ n ≤ 100) — amount of soldiers. Then follow the heights of the soldiers in their order in the circle — n space-separated integers a1, a2, ..., an (1 ≤ ai ≤ 1000). The soldier heights are given in clockwise or counterclockwise direction.

Output

Output two integers — indexes of neighbouring soldiers, who should form a reconnaissance unit. If there are many optimum solutions, output any of them. Remember, that the soldiers stand in a circle.

Examples

Input

5
10 12 13 15 10


Output

5 1


Input

4
10 20 30 40


Output

1 2
import java.io.BufferedOutputStream;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.StringTokenizer;

public class Reconnaissance2 {
	public static void main(String[] args) {
		out = new PrintWriter(new BufferedOutputStream(System.out));
		Reader in = new Reader();
		int n = in.readInt();
		int[] a = in.readIntArray(n);
		int x = n, y = 1, z;
		int min = Math.abs(a[0] - a[n - 1]);
		for(int i = 1; i < n; i++){
			z = Math.abs(a[i] - a[i - 1]);
			if(z < min){
				min = z;
				x = i;
				y = i + 1;
			}
		}
		out.println(x + " " + y);
		in.close();
		out.close();
	}
	static PrintWriter out;
	static class Reader {
		BufferedReader br;
		StringTokenizer st;
		public Reader() {
			br = new BufferedReader(new InputStreamReader(System.in));
		}
		String read() {
			while (st == null || !st.hasMoreElements()) {
				try {
					st = new StringTokenizer(br.readLine());
				} catch (IOException e) {
					e.printStackTrace();
				}
			}
			return st.nextToken();
		}
		int readInt() {
			return Integer.parseInt(read());
		}
		long readLong() {
			return Long.parseLong(read());
		}
		double readDouble() {
			return Double.parseDouble(read());
		}
		char readChar() {
			return read().charAt(0);
		}
		int[] readIntArray(int n) {
			int[] a = new int[n];
			for (int i = 0; i < n; i++)
				a[i] = readInt();
			return a;
		}
		long[] readLongArray(int n) {
			long[] a = new long[n];
			for (int i = 0; i < n; i++)
				a[i] = readLong();
			return a;
		}
		double[] readDoubleArray(int n) {
			double[] a = new double[n];
			for (int i = 0; i < n; i++)
				a[i] = readDouble();
			return a;
		}
		String[] readStringArray(int n) {
			String[] s = new String[n];
			for (int i = 0; i < n; i++)
				s[i] = read();
			return s;
		}
		char[] readCharArray(int n) {
			char[] ch = new char[n];
			for (int i = 0; i < n; i++)
				ch[i] = readChar();
			return ch;
		}
		String readLine() {
			String str = "";
			try {
				str = br.readLine();
			} catch (IOException e) {
				e.printStackTrace();
			}
			return str;
		}
		void close() {
			try {
				br.close();
			} catch (IOException e) {
				e.printStackTrace();
			}
		}
	}
}