RU-ALLRUSSIAN 1979 Problem 11
m and n are relatively prime positive integers. The interval [0, 1] is divided into m + n equal subintervals. Show that each part except those at each end contains just one of the numbers 1/m, 2/m, 3/m, ..., (m- 1)/m, 1/n, 2/n, ..., (n- 1)/n.
Dataset text NuminaMath olympiads. Quoted with source.
Solutions
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