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.io.*;
import java.math.*;

public class Main{
  /*
  .
  .
  .
  .
  .
  .
  .
  some constants
  .
  */
  /*
  .
  .
  .
  if any
  .
  .
  */
  public static void main(String[] args) throws IOException{
		/*
		.
		.
		.
		.
		.
		.
    */
    int n=ni();
    int arr[]=new int[n+1];
    int i,j;
    for(i=0;i<n;i++){
      arr[i]=ni();
    }
    arr[n]=arr[0];
    i=j=0;
    int a=0,b=0;
    int min=Integer.MAX_VALUE;
    for(i=1;i<n+1;i++){
      if(min>Math.abs(arr[i]-arr[i-1])){
        min=Math.abs(arr[i]-arr[i-1]);
        a=i+1;
        b=i;
      }
    }
    if(a>n){
      a -=n;
    }
    sop(a+" "+b);//
    /*

		.
		.
		.
		.
		.
		.
		.
		*/
	}
	/*
	temporary functions
	.
	.
	*/
	/*
	fuctions
	.
	.
	.
	.
	.
	.
	.
	.
	.
	.
	.
	.
	.
	.
	.
	.
	.
	abcdefghijklmnopqrstuvwxyz
	.
	.
	.
	.
	.
	.
	*/
	static int modulo(int j,int m){
		if(j<0)
			return m+j;
		  if(j>=m)
			return j-m;

			return j;
	}
	static final int mod=1000000007;
	static final double eps=1e-8;
	static final long inf=100000000000000000L;
	static final boolean debug=true;
	static Reader in=new Reader();
	static StringBuilder ans=new StringBuilder();
	static long powm(long a,long b,long m){
		long an=1;
		long c=a;
		while(b>0){
			if(b%2==1)
				an=(an*c)%m;
			c=(c*c)%m;
			b>>=1;
		}
		return an;
	}
	static Random rn=new Random();
	static void sop(Object a){System.out.println(a);}
	static int ni(){return in.nextInt();}
	static int[] nia(int n){int a[]=new int[n];for(int i=0;i<n;i++)a[i]=ni();return a;}
	static long nl(){return in.nextLong();}
	static long[] nla(int n){long a[]=new long[n];for(int i=0; i<n; i++)a[i]=nl();return a;}
	static String ns(){return in.next();}
	static String[] nsa(int n){String a[]=new String[n];for(int i=0; i<n; i++)a[i]=ns();return a;}
	static double nd(){return in.nextDouble();}
	static double[] nda(int n){double a[]=new double[n];for(int i=0;i<n;i++)a[i]=nd();return a;}
	static class Reader{
		public BufferedReader reader;
		public StringTokenizer tokenizer;
		public Reader(){
			reader=new BufferedReader(new InputStreamReader(System.in),32768);
			tokenizer=null;
		}
		public String next(){
			while(tokenizer==null || !tokenizer.hasMoreTokens()){
				try{
					tokenizer=new StringTokenizer(reader.readLine());
				}
				catch(IOException e){
					throw new RuntimeException(e);
				}
			}
			return tokenizer.nextToken();
		}
		public int nextInt(){
			return Integer.parseInt(next());
		}
		public long nextLong(){
			return Long.parseLong(next());
		}
		public double nextDouble(){
			return Double.parseDouble(next());
		}
	}
}
