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100 мудрецов, 100 колпаков (разгаданно)

Вобщем не знаю, был такой и вопрос или нет, но я вроде не нашёл.
У одного короля было 100 мудрецов, а содержать их всех было очень накладно и решил он проверить их мудрость, оставив в живых только самых умных.
Король садит мудрецов на одну ночь в темницу, а на утро он собирается поставить их в колонну друг за другом, так что последний мудрец видет всех впереди себя, а первый не видет ни кого, но слышит всех, кто говорит позади себя.
Каждому из мудрецов в хаотичном порядке надевают либо чёрный либо белый колпак (какой именно он не видет).
Затем, к стоящему позади всех подходит палач и спрашивает:
– Чёрный или белый?
Мудрец имеет право сказать только название цвета. Если он называет правильно, то остаётся в живых, не правильно – ему отрубают голову.
Условия завтрашнего испытания мудрецам известны, какую им выбрать стратегию, чтобы хотя бы 99 мудрецов точно выжили в этом испытании?

Ответы: 1,385 → “100 мудрецов, 100 колпаков (разгаданно)”

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