TSTST 2019 Problem 4
- Answer
Consider coins with positive real denominations not exceeding 1. Find the smallest such that the following holds: if we are given any 100 such coins with total value 50 , then we can always split them into two stacks of 50 coins each such that the absolute difference between the total values of the two stacks is at most .
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{50}{51}
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