Codeforces Round #340 (Div. 2)B

B. Chocolate

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

Bob loves everything sweet. His favorite chocolate bar consists of pieces, each piece may contain a nut. Bob 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 Bob 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 a_i (0 ≤ a_i ≤ 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.

Sample test(s)

Input

3
0 1 0

Output

1

Input

5
1 0 1 0 1

Output

4

Note

In the first sample there is exactly one nut, so the number of ways equals 1 — Bob shouldn't make any breaks.

In the second sample you can break the bar in four ways:

10|10|1

1|010|1

10|1|01

1|01|01

题意 ：一段01串 分割成段 每段只能有一个1 问一段串有多少种分割方式

题解：每两个1之间0的个数增加一的乘积

#include<bits/stdc++.h>
#define LL __int64
using namespace std;
LL n,l;
LL ans,k,flag;
int main()
{

    l=0;
    ans=1;
    k=0;
    scanf("%I64d",&n);
    for(int i=1; i<=n; i++)
    {
        scanf("%I64d",&flag);
        if(l)
        {
            k++;
            if(flag)
            {
                ans*=k;
                k=0;
            }
        }
        if(flag)
            l=1;
    }
    ans*=l;
    printf("%I64d\n",ans);
}