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а) Пусть есть набор фигур полимино, каждая умещается в квадрат 10×10. Докажите, что если копиями этих фигурок можно замостить область, содержащую квадрат сколь угодно большого размера, то можно ими замостить и всю плоскость.

б) Существует набор фигур (уже не клеточных), каждая умещается в квадрат 10×10, копиями которых можно замостить область, содержащую квадрат сколь угодно большого размера, но нельзя замостить всю плоскость.



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а) Пусть есть набор фигур полимино, каждая умещается в квадрат 10×10. Докажите, что если копиями этих фигурок можно замостить область, содержащую квадрат сколь угодно большого размера, то можно ими замостить и всю плоскость.

б) Существует набор фигур (уже не клеточных), каждая умещается в квадрат 10×10, копиями которых можно замостить область, содержащую квадрат сколь угодно большого размера, но нельзя замостить всю плоскость.

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The regulator said it has been undertaking several campaigns to educate the investors to be vigilant while taking investment decisions based on stock tips. At this point, however, Durov had already been working on Telegram with his brother, and further planned a mobile-first social network with an explicit focus on anti-censorship. Later in April, he told TechCrunch that he had left Russia and had “no plans to go back,” saying that the nation was currently “incompatible with internet business at the moment.” He added later that he was looking for a country that matched his libertarian ideals to base his next startup. Emerson Brooking, a disinformation expert at the Atlantic Council's Digital Forensic Research Lab, said: "Back in the Wild West period of content moderation, like 2014 or 2015, maybe they could have gotten away with it, but it stands in marked contrast with how other companies run themselves today." Either way, Durov says that he withdrew his resignation but that he was ousted from his company anyway. Subsequently, control of the company was reportedly handed to oligarchs Alisher Usmanov and Igor Sechin, both allegedly close associates of Russian leader Vladimir Putin. The Dow Jones Industrial Average fell 230 points, or 0.7%. Meanwhile, the S&P 500 and the Nasdaq Composite dropped 1.3% and 2.2%, respectively. All three indexes began the day with gains before selling off.
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