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Omni-MATH / Sixteen wooden Cs are placed in a 4-by-4 grid, all with the same orientation,…

Problem

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problem

Sixteen wooden Cs are placed in a 4-by-4 grid, all with the same orientation, and each is to be colored either red or blue. A quadrant operation on the grid consists of choosing one of the four two-by-two subgrids of Cs found at the corners of the grid and moving each C in the subgrid to the adjacent square in the subgrid that is 90 degrees away in the clockwise direction, without changing the orientation of the C. Given that two colorings are the considered same if and only if one can be obtained from the other by a series of quadrant operations, determine the number of distinct colorings of the Cs.

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Source and history

task_id
3a5f185f-5614-5be6-8344-625b17ab248b
task_key
test--3a5f185f-5614-5be6-8344-625b17ab248b
task_revision_id
1
config / split
/ test

Official source

initial import