Ramesh loves sweet food. His favorite chocolate bar consists of pieces, each piece may contain a nut. Ramesh wants to break the bar of chocolate into multiple pieces so that each part would contain exactly one nut and any break line goes between two adjacent pieces.
You are asked to calculate the number of ways he can do it. Two ways to break chocolate are considered distinct if one of them contains a break between some two adjacent pieces and the other one doesn't.
Please note, that if Ramesh doesn't make any breaks, all the bar will form one piece and it still has to have exactly one nut.
Input::: The first line of the input contains integer n (1 ≤ n ≤ 100) — the number of pieces in the chocolate bar.
The second line contains n integers where each integer will be either 0 or 1, where 0 represents a piece without the nut and 1 stands for a piece with the nut.
Output::: Print the number of ways to break the chocolate into multiple parts so that each part would contain exactly one nut.
In the sample you can break the bar in four ways:
10|10|1
1|010|1
10|1|01
1|01|01
