2016长城信息杯中国大学生程序设计竞赛中南邀请赛 xtu 1243 2016

http://www.dengwenhuo.cn/?id=194

Given a2×2 matrix

A=(a 11 a 21  a 12 a 22  ), 

 

findA n  whereA 1 =A,A n =A×A n−1  . As the result may be large, you are going to find only the remainder after division by7 .

 

 

Special Note: The problem is intended to be easy. Feel free to think why the problem is called 2016 if you either:

1. find it hard to solve;

2. or, solved all the other problems easily.

Input

The input contains at most40 sets. For each set:

The first line contains an integern (1≤n<10 100000  ).

The second line contains2 integersa 11 ,a 12  .

The third line contains2 integersa 21 ,a 22  .

(0≤a ij <7 ,(a 11 a 22 −a 12 a 21 ) is not a multiple of7 )

Output

For each set, a2×2 matrix denotes the remainder ofA n  after division by7 .

Sample Input

2
1 1
1 2
2016
1 1
1 2

Sample Output

2 3
3 5
1 0
0 1

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