1074 : 4 Buttons
时间限制Time Limit
5
秒Sec
内存限制Memory Limit
512
兆MB
提交次数Submitted
281 次Times
通过次数Solved
116 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 lives in an infinite chessboard. Initially he locates at (0, 0). There are 4 buttons.
- When the first button is pressed, Bobo moves right for at most a cells.
- When the second button is pressed, Bobo moves up for at most b cells.
- When the third button is pressed, Bobo moves left for at most c cells.
- When the fourth button is pressed, Bobo moves down for at most d cells.
Find the number of cells Bobo can reach modulo (109 + 7), if he presses the buttons for no more than n times.
输入格式Input
The input consists of several test cases and is terminated by end-of-file.
Each test case contains five integers n, a, b, c and d.
- 1 ≤ n, a, b, c, d ≤ 109
- The number of test cases does not exceed 105.
输出格式Output
For each test case, print an integer which denotes the result.
样例Sample
提示Hint
For the first test case, Bobo can reach the following 11 cells: ( − 3, 0), ( − 2, 0), ( − 1, 0), (0, − 4), (0, − 3), (0, − 2), (0, − 1), (0, 0), (0, 1), (0, 2), (1, 0).
出题Author
ftiasch