EigenVector

Given is an $N\times N$ matrix $C$ whose elements are non-negative integers. Determine whether there is a pair of sequences of non-negative integers $A_1,A_2,\ldots,A_N$ and $B_1,B_2,\ldots,B_N$ such that $C_{i,j}=A_i+B_j$ for every $(i, j)$.If the answer is yes, print one such pair. ### Input $N$ $C_{1,1}$ $C_{1,2}$ $\ldots$ $C_{1,N}$ $C_{2,1}$ $C_{2,2}$ $\ldots$ $C_{2,N}$ $:$ $C_{N,1}$ $C_{