benchmarks.wiki / Public workspace

Omni-MATH / The graph of the equation x+y=⌊x²+y²⌋ consists of several line segments. Compute the sum of their lengths.

Problem

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

problem

The graph of the equation x+y=⌊x2+y2⌋x+y=\left\lfloor x^{2}+y^{2}\right\rfloor consists of several line segments. Compute the sum of their lengths.
Plain-text mathematical notation (without MathML)
The graph of the equation x+y=⌊x²+y²⌋ consists of several line segments. Compute the sum of their lengths.
Original LaTeX notation
The graph of the equation $x+y=\left\lfloor x^{2}+y^{2}\right\rfloor$ consists of several line segments. Compute the sum of their lengths.

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

Official source

initial import