Xxiii All Russian Olympiad of the Secondary Schools
نویسنده
چکیده
2. The Council of Wizards is tested in the followingway: The King lines the wizards up in a row and places on the head of each of them either a white hat or a blue hat or a red hat. Each wizard sees the colours of hats of the people standing in front of him, but he neither sees the colour of his hat nor the colours of hats of the people standing behind. Every minute some of the wizards must announce one of the three colours (it is allowed to speak out just once). After completion of this procedure the King executes all the wizards who failed to guess the right colour of their hats. Prior to this ceremony all 100members have agreed to minimize the number of executions. How many of them are de nitely secure against the punishment?
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