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#комбинаторика #задача

Назовём левым путём последовательность клеток, в которой каждая следующая — соседняя слева или снизу с предыдущей, правым путём – то же, но клетка соседняя снизу или справа. Клетчатый квадрат n × n разбит на левые и правые пути. Докажите, что их хотя бы n.



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#комбинаторика #задача

Назовём левым путём последовательность клеток, в которой каждая следующая — соседняя слева или снизу с предыдущей, правым путём – то же, но клетка соседняя снизу или справа. Клетчатый квадрат n × n разбит на левые и правые пути. Докажите, что их хотя бы n.

BY JustScience | Олимпиадная Математика




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Andrey, a Russian entrepreneur living in Brazil who, fearing retaliation, asked that NPR not use his last name, said Telegram has become one of the few places Russians can access independent news about the war. 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. He floated the idea of restricting the use of Telegram in Ukraine and Russia, a suggestion that was met with fierce opposition from users. Shortly after, Durov backed off the idea. The Securities and Exchange Board of India (Sebi) had carried out a similar exercise in 2017 in a matter related to circulation of messages through WhatsApp. The S&P 500 fell 1.3% to 4,204.36, and the Dow Jones Industrial Average was down 0.7% to 32,943.33. The Dow posted a fifth straight weekly loss — its longest losing streak since 2019. The Nasdaq Composite tumbled 2.2% to 12,843.81. Though all three indexes opened in the green, stocks took a turn after a new report showed U.S. consumer sentiment deteriorated more than expected in early March as consumers' inflation expectations soared to the highest since 1981.
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