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 Main {
    
    class Answer {
        int N, min;
        int[] arr;
        
        public int solve() {
            int dist = Integer.MAX_VALUE;
            int left = -1;
            
            for (int i = 0; i < N; i++) {
                if (arr[i] == min) {
                    if (left == -1) {
                        left = i;
                    } else {
                        dist = Math.min(dist, i - left);
                        left = i;
                    }
                }
            }
            return dist;
        }
        
        public void main(FastScanner in, PrintWriter out) {
            N = in.nextInt();
            min = Integer.MAX_VALUE;
            arr = new int[N];
            for (int i = 0; i < N; i++) {
                arr[i] = in.nextInt();
                min = Math.min(min, arr[i]);
            }
            out.println( solve() );
        }
        
        public void p(Object o) { System.out.print(o); }
        public void pl(Object o) { System.out.println(o); }
        public void arp(int[] o) { pl( Arrays.toString(o) ); }
        public void arpp(int[][] o) { 
            for (int i = 0; i < o.length; i++) {
                for (int j = 0; j < o[0].length; j++) { p(o[i][j] + " "); }
                pl("");
            }
        }
        public void ck(Object o1, Object o2) { pl(o1 + " " + o2); }
        public void ckk(Object o1, Object o2, Object o3) { pl(o1 + " " + o2 + " " + o3); }
        public void ckkk(Object o1, Object o2, Object o3, Object o4) { 
            pl(o1 + " " + o2 + " " + o3 + " " + o4);
        }
    }

    public static void main(String[] args) throws Exception {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        FastScanner in = new FastScanner(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        
        Main problem = new Main();
        Answer ans = problem.new Answer();
        ans.main(in, out);
        
        out.close();
        in.close();
    }
    
    static class FastScanner {
        BufferedReader br;
        StringTokenizer st;
        public FastScanner(InputStream in) { br = new BufferedReader(new InputStreamReader(in)); }
        public int nextInt() { return Integer.parseInt(next()); }
        public long nextLong() { return Long.parseLong(next()); }
        public double nextDouble() { return Double.parseDouble(next()); }
        public String next() {
            while (st == null || !st.hasMoreTokens()) {
                try { st = new StringTokenizer(br.readLine()); } 
                catch (IOException e) { e.printStackTrace(); }
            }
            return st.nextToken();
        }
        public String nextLine() {
            String str = "";
            try { str = br.readLine();
            } catch (IOException e) { e.printStackTrace(); }
            return str;
        }
        public void close() throws IOException { br.close(); }
    }
}