Error in inner product of vectors and index

[EisenMad]

Hello

I found a bug in my code and can't figuring out the error. I tried debugging by showing the output of each variable step by step but I can't find my error. Here is what I have and what I want to do:

I have a matrix A:
0000
0101
1010
1111

And I have a matrix B:
10000
21000
30100
41100
20010
21010
40110
41110
30001
41001
30101
41101
40011
41011
40111
41111

The matrix B has 16 rows and 5 coloumns. The matrix A has 4 rows and 4 coloumns. Now I declare a matrix C that has 4 rows and 16 coloumns.

What I want to do is to calculate the inner product of each row from B with a corresponding row from A. With corresponding I mean that the first coloumn of B shoud define the row from A that I want to multiply. So the B matrix has in fact also four-dimensional vectors and the first element corresponds to the row of A. One could say this first coloumn of B is an index for choosing the row of A. Because C++ start counting by zero I substract one for my index. Here is my code:

std::vector< std::vector<int> > C(4, std::vector<int>(16));
std::vector<int> index(4);
std::vector<int> vectorA(4);
std::vector<int> vectorB(4);

for( int y = 0; y < 16; y++)
{
        
    for(int i=0; i<4; ++i){
    vectorA[i] = A[ B[y][0]-1 ][i];
    }

    for( int x = 1; x < 4; x++)
    {

        vectorB[x -1] = B[y][x];

    }


C[ B[y][0] -1][index[ B[y][0] -1] ] = inner_product(vectorA.begin(), vectorA.end(), vectorB.begin(), 0);

    index[B[y][0]-1] += 1;
}

This results in my matrix C:
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 3 1 2 1 2 2 3 0 0 0 0 0 0 0

The first two rows are correct but row three and four are false.
The correct solution has to be (maybe except of ordering in row 3 and 4):

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0
4 3 3 2 3 2 3 2 2 0 0 0 0 0 0 0

Where is my problem? Please help, it drives me crazy :(

Thanks and greetings.