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Problems
Contests
International Contests
IMO Longlists
1979 IMO Longlists
39
39
Part of
1979 IMO Longlists
Problems
(1)
Amount of water required for an expedition.
Source:
6/2/2011
A desert expedition camps at the border of the desert, and has to provide one liter of drinking water for another member of the expedition, residing on the distance of
n
n
n
days of walking from the camp, under the following conditions:
(
i
)
(i)
(
i
)
Each member of the expedition can pick up at most
3
3
3
liters of water.
(
i
i
)
(ii)
(
ii
)
Each member must drink one liter of water every day spent in the desert.
(
i
i
i
)
(iii)
(
iii
)
All the members must return to the camp. How much water do they need (at least) in order to do that?