1100 : Spanning Trees
时间限制Time Limit
1
秒Sec
内存限制Memory Limit
128
兆MB
提交次数Submitted
11 次Times
通过次数Solved
9 次Times
标准评测 Standard
从标准输入读入,结果写到标准输出。评测将输出拆成 token,与标准答案逐项比较,不按整段逐字节比对。
Read from standard input and write to standard output. The judge splits the output into tokens and compares them with the official answer; it does not compare raw bytes.
| 比对Compare | token 相同即通过。中间的空格、制表符、换行可多可少。Matching tokens pass. Extra spaces, tabs, or newlines between them are ignored. |
|---|---|
| 不同则错Differs | token 个数或内容不同即错误。23 与 2 3、02 与 2、2.0 与 2 均视为不同。A different token count or value is wrong. 23 vs 2 3, 02 vs 2, and 2.0 vs 2 all differ. |
| 输入Input | 标准输入,格式见题面。Standard input; format as in the statement. |
| 输出Output | 标准输出。Standard output. |
题目描述Description
Bobo has a string s1…sn consisting of zeros and ones, and he constructs an undirected graph G with n vertices v1, …, vn. In the graph G, an edge between the vertices vi and vj if and only if i < j and sj = 1.
Find the number of spanning trees of the graph G modulo (109 + 7).
输入格式Input
The input consists of several test cases terminated by end-of-file.
The first line of each test case contains an integer n, and the second line contains a string s1…sn.
- 1 ≤ n ≤ 105
- si ∈ {0, 1}
- sn − 1 = 1
- The sum of n does not exceed 106.
输出格式Output
For each test case, print an integer which denotes the result.
样例Sample
出题Author
ftiasch