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Задача 53:
Автор - Пучков Пëтр
Источник - Олимпиада по геометрии имени Шарыгина 2024, задача 9.4

При каких n на плоскости можно отметить несколько точек и окружностей так, что выполнены условия:
- На каждой окружности лежит ровно n точек
- Через каждую точку проходит ровно n окружностей
- У каждой окружности отмечен центр



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Задача 53:
Автор - Пучков Пëтр
Источник - Олимпиада по геометрии имени Шарыгина 2024, задача 9.4

При каких n на плоскости можно отметить несколько точек и окружностей так, что выполнены условия:
- На каждой окружности лежит ровно n точек
- Через каждую точку проходит ровно n окружностей
- У каждой окружности отмечен центр

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In February 2014, the Ukrainian people ousted pro-Russian president Viktor Yanukovych, prompting Russia to invade and annex the Crimean peninsula. By the start of April, Pavel Durov had given his notice, with TechCrunch saying at the time that the CEO had resisted pressure to suppress pages criticizing the Russian government. The next bit isn’t clear, but Durov reportedly claimed that his resignation, dated March 21st, was an April Fools’ prank. TechCrunch implies that it was a matter of principle, but it’s hard to be clear on the wheres, whos and whys. Similarly, on April 17th, the Moscow Times quoted Durov as saying that he quit the company after being pressured to reveal account details about Ukrainians protesting the then-president Viktor Yanukovych. "Russians are really disconnected from the reality of what happening to their country," Andrey said. "So Telegram has become essential for understanding what's going on to the Russian-speaking world." False news often spreads via public groups, or chats, with potentially fatal effects. The fake Zelenskiy account reached 20,000 followers on Telegram before it was shut down, a remedial action that experts say is all too rare.
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