Question 122
An integer is written in each of the fields of a $9 \times 9$ square table. For every $k$ numbers in the same row (column), their sum is in the same row (column). Find the smallest possible number of zeros in the table if:
a) $k = 5$;
b) $k = 8$.
a) $k = 5$;
b) $k = 8$.