2017 students in a circle

Probability Level 4

A group of 2017 students S0,S1,S2,,S2016S_0, S_1, S_2,\ldots, S_{2016} sit in this order around a circle, going clockwise.

Starting from student S0S_0 with the number 1, and going clockwise, they consecutively count the numbers 1, 2, and 3, and repeat.

Each student that counts 2 or 3 as they do this must leave the circle, and they continue until only one student SkS_k remains.

Determine kk.

This is a part of the Set.


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