Gambling problem

There are 10 people sitting around the table and playing a game such that the person who losses the game in a round will have to double the amount of each of players other than him in that round.Each person have some initial amount of money.

Suppose in 1st round person on seat 1 losses, in 2nd round person on seat 2 losses and so on. If there are 10 such rounds and at the end each person is left with $2048 . What amount person on seat number 5 had at the start of the game?


The answer is 642.

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