# A problem by Sachin Sharma

Level pending

$$100$$ soldiers are standing in a circle in an order $$1$$ to $$100$$.

Soldier numbered $$1$$ has a SWORD.

He kills next soldier (i..e no. 2) and gives the sword to next standing soldier (i.e. no. 3). All of them do the same until only a soldier survives. Which numbered soldier survives at the end?

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