Capriciuos salesman
In a line to buy movie tickets are 10240 people on the line. The capricious salesman says he's going to attend one not, one yes, one not, one yes, and so on. Those who do not attend should leave at the end of the line (one by one in order). In what place is the last one who will be able to buy his/her ticket at the beginning?
The answer is 4097.
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