benchmarks.wiki / Public workspace
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Omni-MATH / We are given n coins of different weights and n balances, n>2. On each turn one can choose one balance, put one coin on the right pan and one on the left pan, and then delete these…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
problem
We are given coins of different weights and balances, . On each turn one can choose one balance, put one coin on the right pan and one on the left pan, and then delete these coins out of the balance. It's known that one balance is wrong (but it's not known ehich exactly), and it shows an arbitrary result on every turn. What is the smallest number of turns required to find the heaviest coin?
[hide=Thanks]Thanks to the user Vlados021 for translating the problem.[/hide]
Plain-text mathematical notation (without MathML)
We are given n coins of different weights and n balances, n>2. On each turn one can choose one balance, put one coin on the right pan and one on the left pan, and then delete these coins out of the balance. It's known that one balance is wrong (but it's not known ehich exactly), and it shows an arbitrary result on every turn. What is the smallest number of turns required to find the heaviest coin? [hide=Thanks]Thanks to the user Vlados021 for translating the problem.[/hide]
Original LaTeX notation
We are given $n$ coins of different weights and $n$ balances, $n>2$. On each turn one can choose one balance, put one coin on the right pan and one on the left pan, and then delete these coins out of the balance. It's known that one balance is wrong (but it's not known ehich exactly), and it shows an arbitrary result on every turn. What is the smallest number of turns required to find the heaviest coin? [hide=Thanks]Thanks to the user Vlados021 for translating the problem.[/hide]
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Source and history
- task_id
c99acebb-6e30-52e8-a187-fb54e459efd7- task_key
test--c99acebb-6e30-52e8-a187-fb54e459efd7- task_revision_id
- 1
- config / split
- / test
initial import