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(490) 3

Part of 1996 Tournament Of Towns

Problems(1)

TOT 490 1996 Spring J A3 sequence of 1996 reals

Source:

8/16/2024
Prove that from any sequence of 19961996 real numbers a1a_1, a2a_2,......, a1996a_{1996} one can choose one or several numbers standing successively one after another so that their sum differs from an integer by less than 0.0010.001.
(A Kanel)
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