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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.*;

public class Main{
	public static void main(String args[]) throws InterruptedException {
		FastReader in = new FastReader();
		int n = in.nextInt();
		int a[] = new int[n];
		for (int i = 0; i < a.length; i++) {
			a[i] = in.nextInt();
		}
		int b[] = new int[n];
		System.arraycopy(a, 0, b, 0, a.length);
		Arrays.sort(b);
		int min = b[0];
		ArrayList<Integer> list = new ArrayList<>();
		for (int i = 0; i < a.length; i++) {
			if (a[i] == min)
				list.add(i);

		}
		Collections.sort(list);
		int sh = list.get(1) - list.get(0);
		for (int i = 2; i != list.size(); i++) {
			sh = Math.min(sh, list.get(i) - list.get(i - 1));

		}
		System.out.println(sh);
	}

	static class FastReader {
		BufferedReader br;
		StringTokenizer st;

		public FastReader() {
			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;
		}
	}
}
