You are given an array of n integer numbers a0, a1, ..., an - 1. Find the distance between two closest (nearest) minimums in it. It is guaranteed that in the array a minimum occurs at least two times.

Input

The first line contains positive integer n (2 ≤ n ≤ 105) — size of the given array. The second line contains n integers a0, a1, ..., an - 1 (1 ≤ ai ≤ 109) — elements of the array. It is guaranteed that in the array a minimum occurs at least two times.

Output

Print the only number — distance between two nearest minimums in the array.

Examples

Input

2
3 3


Output

1


Input

3
5 6 5


Output

2


Input

9
2 1 3 5 4 1 2 3 1


Output

3

import java.io.*;
import java.util.*;

public class Solving1 {

    public static void main(String[] args) throws IOException {
        FastScanner sc=new FastScanner(System.in);
        PrintWriter out=new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
        int n=sc.nextInt();
        int a[]=new int[n];
        for(int i=0;i<n;i++){
            a[i]=sc.nextInt();
        }
        int m=a[0];
        for(int i=0;i<n;i++){
            if(a[i]<m)m=a[i];
        }
        
        int s=-10000000;
        int ans=Integer.MAX_VALUE;
        for(int i=0;i<n;i++){
            if(a[i]==m){
                ans=Math.min(ans, i-s);
                s=i;
            }
        }
        System.out.println(ans);
        
        
    }
    
  //__________________________________________________________
    static class FastScanner {
	    BufferedReader br;
	    StringTokenizer st;
            public FastScanner(InputStream i) {
	        br =  new BufferedReader(new InputStreamReader(i));
	        st = new StringTokenizer("");
	    }
	    public String next() throws IOException {
	        if(st.hasMoreTokens())return st.nextToken();
                else st = new StringTokenizer(br.readLine());
	        return next();
	    }
	    public int nextInt() throws IOException {return Integer.parseInt(next());}
	    public long nextLong() throws IOException {return Long.parseLong(next());}
	    public double nextDouble() throws IOException {return Double.parseDouble(next());}
	}
}
 