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.util.*;
import java.lang.*;
import java.math.*;
import java.io.*;

import static java.lang.Math.*;
import static java.util.Arrays.*;
import static java.util.Collections.*;

public class _P034A{
	Scanner sc=new Scanner(System.in);

	int INF=1<<28;
	double EPS=1e-9;

	int n;
	int[] a;

	void run(){
		n=sc.nextInt();
		a=new int[n];
		for(int i=0; i<n; i++){
			a[i]=sc.nextInt();
		}
		solve();
	}

	void solve(){
		int min=INF, index=-1;
		for(int i=0; i<n; i++){
			if(abs(a[i]-a[(i+1)%n])<min){
				index=i;
				min=abs(a[i]-a[(i+1)%n]);
			}
		}
		println((index+1)+" "+((index+1)%n+1));
	}

	void println(String s){
		System.out.println(s);
	}

	void print(String s){
		System.out.print(s);
	}

	void debug(Object... os){
		System.err.println(Arrays.deepToString(os));
	}

	public static void main(String[] args){
		Locale.setDefault(Locale.US);
		new _P034A().run();
	}
}
