MATRIX

$Navodit$ received two matrices $A$ and $B$ as birthday presents. Each of the matrices is an $N$ by $N$ matrix that consists of only $0$ and $1$.Then he computed the product of the two matrices, $C=AB$. Since he performed all computations in modulo two, $C$ was also an $N$ by $N$ matrix that consists of only $0$ and $1$. For each $1≤i,j≤N$ you are given $c(i,j)$, the $(i,j)$-element of the matr