benchmarks.wiki

benchmarks.wiki / Public workspace

Omni-MATH / Each of the numbers 1,2,…,9 is to be written into one of these circles, so that each circle contains exactly one of these numbers and (i) the sums of the four numbers on each side …

Problem

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

problem

Each of the numbers 1,2,…,91,2, \ldots, 9 is to be written into one of these circles, so that each circle contains exactly one of these numbers and (i) the sums of the four numbers on each side of the triangle are equal; (ii) the sums of squares of the four numbers on each side of the triangle are equal. Find all ways in which this can be done.
Plain-text mathematical notation (without MathML)
Each of the numbers 1,2,…,9 is to be written into one of these circles, so that each circle contains exactly one of these numbers and (i) the sums of the four numbers on each side of the triangle are equal; (ii) the sums of squares of the four numbers on each side of the triangle are equal. Find all ways in which this can be done.
Original LaTeX notation
Each of the numbers $1,2, \ldots, 9$ is to be written into one of these circles, so that each circle contains exactly one of these numbers and (i) the sums of the four numbers on each side of the triangle are equal; (ii) the sums of squares of the four numbers on each side of the triangle are equal. Find all ways in which this can be done.

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
c4d14201-71b0-5126-ad3d-7589346a08b4
task_key
test--c4d14201-71b0-5126-ad3d-7589346a08b4
task_revision_id
1
config / split
/ test

Official source

initial import