Assuming filling tank is instantaneous, then 6 planes are needed


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送交者: outsider 于 2006-09-29, 15:15:55:

回答: 转一个微软的 brain teaser 由 匆匆过客 于 2006-09-29, 13:45:24:

First four planes take off A, B, C, D. At 1/6 of the circle, tanks are 2/3 full. A and B give 1/3 tank to C and D, A and B got 1/3 tank full to fly back. C and D are full. C and D continue to fly to 1/3 of the circle, both got 2/3 tank full. C gives 1/3 tank to D. C has 1/3 tank left and fly back and at the same time plane E takes off. C and E meet at 1/6 of circle, C is empty and E got 2/3. E gives 1/3 to C and both fly back. Now D with full tank at 1/3 of circle and continues flying half a circle to 5/6, and plane F needs to take off in time to meet D at 5/6 of the circle, gives D 1/3 tank and both can fly back to the airport. Total 6 planes



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