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Omni-MATH / Dorothea has a 3×4 grid of dots. She colors each dot red, blue, or dark gray. Compute the number of ways Dorothea can color the grid such that there is no rectangle whose sides are…

Problem

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problem

Dorothea has a 3×43 \times 4 grid of dots. She colors each dot red, blue, or dark gray. Compute the number of ways Dorothea can color the grid such that there is no rectangle whose sides are parallel to the grid lines and whose vertices all have the same color.
Plain-text mathematical notation (without MathML)
Dorothea has a 3×4 grid of dots. She colors each dot red, blue, or dark gray. Compute the number of ways Dorothea can color the grid such that there is no rectangle whose sides are parallel to the grid lines and whose vertices all have the same color.
Original LaTeX notation
Dorothea has a $3 \times 4$ grid of dots. She colors each dot red, blue, or dark gray. Compute the number of ways Dorothea can color the grid such that there is no rectangle whose sides are parallel to the grid lines and whose vertices all have the same color.

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Source and history

task_id
5e5af9da-8ec8-5092-b5f0-448152b660ba
task_key
test--5e5af9da-8ec8-5092-b5f0-448152b660ba
task_revision_id
1
config / split
/ test

Official source

initial import