olymmath

Putnam 2006 B2

  • Session B

Prove that, for every set X={x1,x2,…,xn}X = \{x_1, x_2, \dots, x_n\} of nn real numbers, there exists a non-empty subset SS of XX and an integer mm such that ∣m+∑s∈Ss∣≤1n+1.\left| m + \sum_{s \in S} s \right| \leq \frac{1}{n+1}.

Curated text Kedlaya Putnam archive. Quoted with source.

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