UVA 23 out of 5

2015-07-20 18:07:14 · 作者: · 浏览: 6

题目如下:

Problem I

23 Out of 5

Input: standard input

Output: standardoutput

Time Limit: 1 second

Memory Limit: 32 MB

Your task is to writea program that can decide whether you can find an arithmetic expression consistingof five given numbers \(1<=i<=5) that will yieldthe value 23.
FZ??http://www.2cto.com/kf/ware/vc/" target="_blank" class="keylink">vciB0aGlzIHByb2JsZW0gd2Ugd2lsbCBvbmx5IGNvbnNpZGVyIGFyaXRobWV0aWMgZXhwcmVzc2lvbnMgb2YgdGhlIGZvbGxvd2luZ2Zyb206CjwvcD4KPHByZSBjbGFzcz0="brush:java;">\

 
where \: {1,2,3,4,5} -> {1,2,3,4,5} is a bijective function
and \ {+,-,*} (1<=i<=4)

Input

The Input consists of 5-Tupelsof positive Integers, each between 1 and 50.
Input is terminated by a line containing five zero"s. This line should not beprocessed.

Output

For each 5-Tupel print"Possible" (without quotes) if their exists an arithmetic expression(as described above) that yields 23. Otherwise print "Impossible".

Sample Input

1 1 1 1 1
1 2 3 4 5
2 3 5 7 11
0 0 0 0 0

Sample Output

Impossible
Possible
Possible
也是直接回溯就可以了,不过要注意π是个双射函数(bijective function),所以要一一对应,不能重复使用,采用一个vis数组标记即可。

AC的代码如下: