benchmarks.wiki / Public workspace

Omni-MATH / In Vila Par, all the truth coins weigh an even quantity of grams and the false…

Problem

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

problem

In Vila Par, all the truth coins weigh an even quantity of grams and the false coins weigh an odd quantity of grams. The eletronic device only gives the parity of the weight of a set of coins. If there are 20202020 truth coins and 22 false coins, determine the least kk, such that, there exists a strategy that allows to identify the two false coins using the eletronic device, at most, kk times.
Plain-text mathematical notation (without MathML)
In Vila Par, all the truth coins weigh an even quantity of grams and the false coins weigh an odd quantity of grams. The eletronic device only gives the parity of the weight of a set of coins. If there are 2020 truth coins and 2 false coins, determine the least k, such that, there exists a strategy that allows to identify the two false coins using the eletronic device, at most, k times.
Original LaTeX notation
In Vila Par, all the truth coins weigh an even quantity of grams and the false coins weigh an odd quantity of grams. The eletronic device only gives the parity of the weight of a set of coins. If there are $2020$ truth coins and $2$ false coins, determine the least $k$, such that, there exists a strategy that allows to identify the two false coins using the eletronic device, at most, $k$ times.

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