Score : $200$ points

Problem Statement

We have a circular pizza. Takahashi will cut this pizza using a sequence $A$ of length $N$, according to the following procedure.

• First, make a cut from the center in the $12$ o'clock direction.
• Next, do $N$ operations. The $i$-th operation is as follows.- Rotate the pizza $A_i$ degrees clockwise.
  • Then, make a cut from the center in the $12$ o'clock direction.

For example, if $A=(90,180,45,195)$, the procedure cuts the pizza as follows.

Find the center angle of the largest pizza after the procedure.

Constraints

• All values in input are integers.
• $1 \le N \le 359$
• $1 \le A_i \le 359$
• There will be no multiple cuts at the same position.

Input

Input is given from Standard Input in the following format:

$N$

$A_1$ $A_2$ $\dots$ $A_N$

Output

Print the answer as an integer.

4
90 180 45 195

120

This input coincides with the example in the Problem Statement. The center angle of the largest pizza is $120$ degrees.

1
1

359

10
215 137 320 339 341 41 44 18 241 149

170