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Omni-MATH / A 5×5 square grid has the number -3 written in the upper-left square and the number 3 written in the lower-right square. In how many ways can the remaining squares be filled in wit…

Problem

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problem

A 5×55 \times 5 square grid has the number -3 written in the upper-left square and the number 3 written in the lower-right square. In how many ways can the remaining squares be filled in with integers so that any two adjacent numbers differ by 1, where two squares are adjacent if they share a common edge (but not if they share only a corner)?
Plain-text mathematical notation (without MathML)
A 5×5 square grid has the number -3 written in the upper-left square and the number 3 written in the lower-right square. In how many ways can the remaining squares be filled in with integers so that any two adjacent numbers differ by 1, where two squares are adjacent if they share a common edge (but not if they share only a corner)?
Original LaTeX notation
A $5 \times 5$ square grid has the number -3 written in the upper-left square and the number 3 written in the lower-right square. In how many ways can the remaining squares be filled in with integers so that any two adjacent numbers differ by 1, where two squares are adjacent if they share a common edge (but not if they share only a corner)?

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Source and history

task_id
8effc41f-9161-5ac6-9c2a-270bde35099e
task_key
test--8effc41f-9161-5ac6-9c2a-270bde35099e
task_revision_id
1
config / split
/ test

Official source

initial import