Question 30
Optional bonus: the source awards 20 points for a correct answer, deducts 7 points for an incorrect answer, and awards 0 for a blank. The import preserves positive marks but does not reproduce this penalty.
A diagonal of a $3\times 2$ rectangular grid passes through 4 unit squares; a diagonal of a $6\times 3$ grid passes through 6 unit squares, as shown. How many unit squares does a diagonal of a $2019\times 9422$ grid pass through?

A diagonal of a $3\times 2$ rectangular grid passes through 4 unit squares; a diagonal of a $6\times 3$ grid passes through 6 unit squares, as shown. How many unit squares does a diagonal of a $2019\times 9422$ grid pass through?
