1206 - Linear Algebra
Time Limit : 2 Second
Memory Limit : 128 MB
Submission: 69
Solved: 43
- Description
- Most of the students of Grade 2008 have nearly or just finished Linear Algebra classes.Now give you a easy problem in Linear Algebra,now you can use your computer tool to pass it.
Give you a matrix,its size is N*N(N rows & N columns),and each number in it is less than 10.Then you need to do is just calculate the matrix^k(the value of k same matrices' multiplication).
- Input
- First Line:There is a number CAS(1<=CAS<=1000) means the number of cases you need to fill
Second Line~End -> all the cases
The format of each case:
First Line: two Numbers N,k(1<=N<=10&&1<=k<=1000000000)
2~N+1 Lines: Each Line have M numbers,meaning each row of the matrix.
- Output
- For each test case,calculate the answer matrix,each number in the matrix should module by 10007.
Just print the sum of the numbers in the matrix.
- sample input
-
2 4 5 3 4 5 3 4 5 6 2 1 3 4 1 3 3 3 3 2 1000 1 2 4 5
- sample output
-
79689 31068
- hint
- For the first sample case,you got the 4*4 matrix mat,a new matrix mat1=mat*mat*mat*mat*mat: mat1 = 84412 123771 151468 65350 96834 142007 173792 74956 49448 72532 88772 38268 69342 101652 124392 53694 then module each elements by 10007 mat2 = 4356 3687 1363 5308 6771 1909 3673 4907 9420 2483 8716 8247 9300 1582 4308 3659 Then you sum all the elements ,The answer you get is 79689.
- source
- 杨少侠