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.util.ArrayList;
import java.util.HashMap;
import java.util.Map;
import java.util.Scanner;

public class Minimum {

	public static int[] getArray(int size) {
		int[] array = new int[size];
		for (int i = 0; i < size; i++) {
			array[i] = sr.nextInt();
		}
		return array;
	}

	public static int[][] getMatrix(int sizeI, int sizeJ) {
		int[][] array = new int[sizeI][sizeJ];
		for (int i = 0; i < sizeI; i++) {
			for (int j = 0; j < sizeJ; j++) {
				array[i][j] = sr.nextInt();
			}
		}
		return array;
	}

	public static boolean isSimpleNumber(int val) {
		for (int i = 2; i <= Math.sqrt(val); i++) {
			if (val % i == 0)
				return false;
		}
		return true;
	}

	public static int NOD(int a, int b) {
		while (a != 0 && b != 0) {
			if (a > b) {
				a = a % b;
			} else {
				b = b % a;
			}
		}
		return a + b;
	}

	public static int NOK(int a, int b) {
		return a * b / NOD(a, b);
	}

	public static long factorial(int i) {
		long res = 1;
		for (int j = 2; j <= i; j++) {
			res *= j;
		}
		return res;
	}

	static char letters[] = { 'a', 'b', 'c', 'd', 'e', 'f', 'g', 'h', 'i', 'j', 'k', 'l', 'm', 'n', 'o', 'p', 'q', 'r',
			's', 't', 'u', 'v', 'w', 'x', 'y', 'z' };

	static Scanner sr = new Scanner(System.in);

	public static void main(String[] args) {
		
		int n = sr.nextInt();
		int a[] = getArray(n);
		int min = Integer.MAX_VALUE;
		for (int i = 0; i < a.length; i++) {
			min = Math.min(min, a[i]);
		}
		ArrayList<Integer> index = new ArrayList<>();
		for (int i = 0; i < a.length; i++) {
			if (a[i] == min) {
				index.add(i);
			}
		}
		//System.out.println(index.toString());
		int minDistance = Integer.MAX_VALUE;
		for (int i = 1; i < index.size(); i++) {
			minDistance = Math.min(minDistance, index.get(i) - index.get(i - 1));
		}
		System.out.println(minDistance);
	}
}