A scanning code consists of a $$7$$ times $$7$$ grid of squares, with some of its squares colored black and the rest

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A scanning code consists of a $$7$$ times $$7$$ grid of squares, with some of its squares colored black and the rest

by AAPL » Thu Apr 18, 2024 3:54 pm

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A scanning code consists of a $$7$$ times $$7$$ grid of squares, with some of its squares colored black and the rest colored white. There must be at least one square of each color in this grid of $$49$$ squares. A scanning code is called symmetric if its look does not change when the entire square is rotated by a multiple of $$90$$ deg counterclockwise around its center, nor when it is reflected across a line joining opposite corners or a line joining midpoints of opposite sides. What is the total number of possible symmetric scanning codes?

A. $$510$$
B. $$1022$$
C. $$8190$$
D. $$8192$$
E. $$65534$$

OA B

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