Question 109
A table consisting of 5 columns and 32 rows, which is filled with zeros and ones, is called *varied* if no two rows are filled in the same way.
On the exterior of a cylinder, a table with 32 rows and 16 columns is constructed. Is it possible to fill the cells of the table with zeros and ones, such that for any five consecutive columns, the $32 \times 5$ table formed by these columns is varied?
On the exterior of a cylinder, a table with 32 rows and 16 columns is constructed. Is it possible to fill the cells of the table with zeros and ones, such that for any five consecutive columns, the $32 \times 5$ table formed by these columns is varied?