PASCAL 2020 Problem 21

In the 4 \times 5 grid shown, six of the 1 \times 1 squares are not intersected by either diagonal. When the two diagonals of an 8 \times 10 grid are drawn, how many of the 1 \times 1 squares are not intersected by either diagonal?

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Answer Choices
A. 44
B. 24
C. 52
D. 48
E. 56