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Как по мне листки оказались простыми, поэтому разберём одну задачу, остальные решаются тоже очевидной идеей, докажем теорему Жирара. Если переформулировать условие задачи получим, что а;-а квадратичные вычеты по модулю п, посчитаем символ лежандра для обоих чисел, получим а(2к+1)==1 -а(2к+1==1 сложим систему, получим 2==0 по модулю П-противоречие так как п-вида 4к+3, значит а==0 чтд
Как по мне листки оказались простыми, поэтому разберём одну задачу, остальные решаются тоже очевидной идеей, докажем теорему Жирара. Если переформулировать условие задачи получим, что а;-а квадратичные вычеты по модулю п, посчитаем символ лежандра для обоих чисел, получим а(2к+1)==1 -а(2к+1==1 сложим систему, получим 2==0 по модулю П-противоречие так как п-вида 4к+3, значит а==0 чтд
BY Очевидно, что...
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The picture was mixed overseas. Hong Kong’s Hang Seng Index fell 1.6%, under pressure from U.S. regulatory scrutiny on New York-listed Chinese companies. Stocks were more buoyant in Europe, where Frankfurt’s DAX surged 1.4%. Friday’s performance was part of a larger shift. For the week, the Dow, S&P 500 and Nasdaq fell 2%, 2.9%, and 3.5%, respectively. Right now the digital security needs of Russians and Ukrainians are very different, and they lead to very different caveats about how to mitigate the risks associated with using Telegram. For Ukrainians in Ukraine, whose physical safety is at risk because they are in a war zone, digital security is probably not their highest priority. They may value access to news and communication with their loved ones over making sure that all of their communications are encrypted in such a manner that they are indecipherable to Telegram, its employees, or governments with court orders. Investors took profits on Friday while they could ahead of the weekend, explained Tom Essaye, founder of Sevens Report Research. Saturday and Sunday could easily bring unfortunate news on the war front—and traders would rather be able to sell any recent winnings at Friday’s earlier prices than wait for a potentially lower price at Monday’s open. The company maintains that it cannot act against individual or group chats, which are “private amongst their participants,” but it will respond to requests in relation to sticker sets, channels and bots which are publicly available. During the invasion of Ukraine, Pavel Durov has wrestled with this issue a lot more prominently than he has before. Channels like Donbass Insider and Bellum Acta, as reported by Foreign Policy, started pumping out pro-Russian propaganda as the invasion began. So much so that the Ukrainian National Security and Defense Council issued a statement labeling which accounts are Russian-backed. Ukrainian officials, in potential violation of the Geneva Convention, have shared imagery of dead and captured Russian soldiers on the platform.
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