A subset

of the set of integers 0 - 99 is said to have property

if it is impossible to fill a crossword-puzzle with 2 rows and 2 columns with numbers in

(0 is written as 00, 1 as 01, and so on). Determine the maximal number of elements in the set

with the property
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A subset $S$ of the set of integers 0 - 99 is said to have property $A$ if it is impossible to fill a crossword-puzzle with 2 rows and 2 columns with numbers in $S$ (0 is written as 00, 1 as 01, and so on). Determine the maximal number of elements in the set $S$ with the property $A.$