The magical escape

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The nasty king of Dystopia has captured a group of travellers from Utopia. The king wants to toy with them, so he makes them play a little "game": The king will place everyone in solitary confinement. He has placed a bulb in a separate room which is controlled by a switch. Initially the bulb is off. Each day he picks a prisoner at random and takes him to the room. He can see whether the bulb is

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solution.cppC++17

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