The Last Samurai
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Categories: Mathematical
 

This is about the time Moonface was in 'The Forbidden Kingdom'. The King there had announced a gladiatorial contest. A 100 samurai who participated in the same were made to stand in a circular structure. They were then numbered from 1 to 100 and the first person was given a sword. The contest that ensued followed a strange pattern. The first person killed the second samurai and handed the sword to the third one. Subsequently, the third samurai killed the fourth and handed the sword to the fifth samurai.This continued until all but the last samurai was left.

Can you tell us what was the number of this last samurai?

 
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