olymmath

VMO 1991 Problem 4

    1991 students sit in a circle. Starting from student A and counting clockwise round the remaining students, every second and third student is asked to leave the circle until only one remains. (So if the students clockwise from A are A, B, C, D, E, F, ... , then B, C, E, F are the first students to leave.) Where was the surviving student originally sitting relative to A?

    Community text Kalva (prase.cz mirror). Quoted with source.

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