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How many chips can A get at least?

Posted: Sat Aug 08, 2020 9:50 pm
by BenedictLos
There are 10 small boxes with 1,2,...,10 chips and 2 large empty boxes. Each turn B will choose one of the two large boxes and A chooses a nonempty small box and puts the chips in it into the said box. After ten turns all small boxes are empty and A chooses one of the large boxes and receives the chips in it. How many chips can A get at least?