You are given an array $a$ consisting of $n$ integer numbers.

Let instability of the array be the following value: $\max\limits_{i = 1}^{n} a_i - \min\limits_{i = 1}^{n} a_i$.

You have to remove exactly one element from this array to minimize instability of the resulting $(n-1)$-elements array. Your task is to calculate the minimum possible instability.

Input

The first line of the input contains one integer $n$ ($2 \le n \le 10^5$) — the number of elements in the array $a$.

The second line of the input contains $n$ integers $a_1, a_2, \dots, a_n$ ($1 \le a_i \le 10^5$) — elements of the array $a$.

Output

Print one integer — the minimum possible instability of the array if you have to remove exactly one element from the array $a$.

Note

In the first example you can remove $7$ then instability of the remaining array will be $3 - 1 = 2$.

In the second example you can remove either $1$ or $100000$ then instability of the remaining array will be $100000 - 100000 = 0$ and $1 - 1 = 0$ correspondingly.

Samples

4
1 3 3 7

2

2
1 100000

0