Problem Statement

Snuke and Raccoon have a heap of $N$ cards. The $i$-th card from the top has the integer $a_i$ written on it.

They will share these cards. First, Snuke will take some number of cards from the top of the heap, then Raccoon will take all the remaining cards. Here, both Snuke and Raccoon have to take at least one card.

Let the sum of the integers on Snuke's cards and Raccoon's cards be $x$ and $y$, respectively. They would like to minimize $|x-y|$. Find the minimum possible value of $|x-y|$.

Constraints

• $2 \leq N \leq 2 \times 10^5$
• $-10^{9} \leq a_i \leq 10^{9}$
• $a_i$ is an integer.

Sample Input 1Copy

6
1 2 3 4 5 6

Sample Output 1Copy

1

If Snuke takes four cards from the top, and Raccoon takes the remaining two cards, $x=10$, $y=11$, and thus $|x-y|=1$. This is the minimum possible value.

Sample Input 2Copy

2
10 -10

Sample Output 2Copy

20

Snuke can only take one card from the top, and Raccoon can only take the remaining one card. In this case, $x=10$, $y=-10$, and thus $|x-y|=20$.