Last one alive 3

10000 people stand in a circle. There is a sword in the hand of the 1 st 1^\text{st} person, he kills the 2 nd 2^\text{nd} person and passes on the sword to the third, who kills the fourth and gives the sword to the 5 th 5^\text{th} , this goes on until one person is left. At what number was that person standing at the start?


The answer is 3617.

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