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
n=int(input())
l=[int(i) for i in input().split()] 
mini=min(l)
d={}
karma=0
mind=10**9

for i in range(n):
    if l[i]==mini and karma==0:
        karma=1
        d[l[i]]=i 
    elif l[i]==mini:
        mind=min(mind,i-d[l[i]])
        d[l[i]]=i
print(mind)
        