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 codeforcesMain {
	
	static MyScanner sc = new MyScanner();
	
	public static void main(String[] args) throws IOException {
		
			int n = sc.nextInt();
			
			int arr [] = new int [n];
			int minLeft = -n-1;
			int minRight = n-1;
			int min = Integer.MAX_VALUE;
			int minDistance = Integer.MAX_VALUE;
			int ptr = 0;
			
			for (int i=0 ; i<n ; i++) {
				arr[i] = sc.nextInt();
				if (arr[i] < min) {
					min = arr[i];
				}
			}
			
			while (ptr<n && minDistance>1) {
				//System.out.println(ptr + "donuyor.");
				if (arr[ptr] == min) {
					minRight = ptr;
					int distance = minRight - minLeft;
					minLeft = minRight;
					if (distance < minDistance) {
						minDistance = distance;
					}
				}
				ptr++;
			}
			
			System.out.println(minDistance);
	}


	//-----------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;
        }

    }
	
}