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TOT 223 1989 Autumn O J1 three runeers in a race

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March 12, 2021
algebra

Problem Statement

Three runners, X,YX, Y and ZZ, participated in a race. ZZ got held up at the start and began running last, while YY was second from the start. During the race ZZ exchanged positions with other contestants 66 times, while XX did that 55 times. It is known that YY finished ahead of XX. In what order did they finish?