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Omni-MATH / The squares of a 3×3 grid are filled with positive integers such that 1 is the label of the upperleftmost square, 2009 is the label of the lower-rightmost square, and the label of …

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problem

The squares of a 3×33 \times 3 grid are filled with positive integers such that 1 is the label of the upperleftmost square, 2009 is the label of the lower-rightmost square, and the label of each square divides the one directly to the right of it and the one directly below it. How many such labelings are possible?
Plain-text mathematical notation (without MathML)
The squares of a 3×3 grid are filled with positive integers such that 1 is the label of the upperleftmost square, 2009 is the label of the lower-rightmost square, and the label of each square divides the one directly to the right of it and the one directly below it. How many such labelings are possible?
Original LaTeX notation
The squares of a $3 \times 3$ grid are filled with positive integers such that 1 is the label of the upperleftmost square, 2009 is the label of the lower-rightmost square, and the label of each square divides the one directly to the right of it and the one directly below it. How many such labelings are possible?

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Source and history

task_id
9ec2aa7c-e571-5edd-86c9-3472f43048ce
task_key
test--9ec2aa7c-e571-5edd-86c9-3472f43048ce
task_revision_id
1
config / split
/ test

Official source

initial import