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.text.DecimalFormat;
import java.util.*;

public class Solution
{
    public static void main(String[] args)
    {
        MyScanner sc = new MyScanner();
        out = new PrintWriter(new BufferedOutputStream(System.out));

        //--------Solution---------------------------------------------//
        int n = sc.nextInt();
        int[] a = new int[n];
        int min=Integer.MAX_VALUE;

        for(int i=0;i<n;i++) {a[i]=sc.nextInt(); if(a[i]<min)min=a[i];}

        int ans=Integer.MAX_VALUE;

        int i=0;
        while(i<n){
            if(a[i]==min)break;
            else i++;
        }

        int curr=0;
        i++;
        for(;i<n;i++){
            curr++;
            if(a[i]==min){
                if(curr<ans)ans=curr;
                curr=0;
            }
        }
        out.println(ans);
        //-------------------------------------------------------------//

        out.close();
    }

    //-----------PrintWriter for faster output-------------------------//
    public static PrintWriter out;

    //-----------MyScanner class for faster input----------------------//
    public static class MyScanner
    {
        BufferedReader br;
        StringTokenizer st;

        public MyScanner(){
            br = new BufferedReader(new InputStreamReader(System.in));
        }

        String next()
        {
            while (st == null || !st.hasMoreElements())
            {
                try
                {
                    st = new StringTokenizer(br.readLine());
                }
                catch (IOException e)
                {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

        int nextInt(){
            return Integer.parseInt(next());
        }

        long nextLong(){
            return Long.parseLong(next());
        }

        double nextDouble(){
            return Double.parseDouble(next());
        }

        String nextLine()
        {
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }

    }
}

class Pair implements Comparable<Pair>
{
    int first;
    int second;

    Pair(int f,int s){
        first=f;
        second=s;
    }

    public int compareTo(Pair p){
        return this.first - p.first;
    }
}