benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / A 4×4 table is divided into 16 white unit square cells. Two cells are called neighbors if they share a common side. A [i]move[/i] consists in choosing a cell and the colors of neig…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

A 4×4 4\times 4 table is divided into 16 16 white unit square cells. Two cells are called neighbors if they share a common side. A [i]move[/i] consists in choosing a cell and the colors of neighbors from white to black or from black to white. After exactly n n moves all the 16 16 cells were black. Find all possible values of n n.
Plain-text mathematical notation (without MathML)
A 4×4 table is divided into 16 white unit square cells. Two cells are called neighbors if they share a common side. A [i]move[/i] consists in choosing a cell and the colors of neighbors from white to black or from black to white. After exactly n moves all the 16 cells were black. Find all possible values of n.
Original LaTeX notation
A $ 4\times 4$ table is divided into $ 16$ white unit square cells. Two cells are called neighbors if they share a common side. A [i]move[/i] consists in choosing a cell and the colors of neighbors from white to black or from black to white. After exactly $ n$ moves all the $ 16$ cells were black. Find all possible values of $ n$.

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
9057a024-10a9-5c38-a132-06453d61d113
task_key
test--9057a024-10a9-5c38-a132-06453d61d113
task_revision_id
1
config / split
/ test

Official source

initial import