Matrix Multiplication

Multiply two matrices A and B and print the resulting matrix C.

Matrix multiplication is defined as: C[i][j] = sum of A[i][k] * B[k][j] for all k. The number of columns in A must equal the number of rows in B.

For this exercise, matrices A and B are hardcoded directly in the code. Nothing is read from stdin. Use:

A = [ [1, 2, 3],
      [4, 5, 6] ]

B = [ [7,  8],
      [9,  10],
      [11, 12] ]

Input

None. The matrices are written directly in the code.

Output

• 2 lines, each containing 2 space-separated integers: the product matrix C.

Example

Output:
58 64
139 154

Check on paper: C[0][0] = 1*7 + 2*9 + 3*11 = 58, C[0][1] = 1*8 + 2*10 + 3*12 = 64, etc.