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Hamovniki_10_1_raznoboy_tch (2).pdf
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



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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

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Although some channels have been removed, the curation process is considered opaque and insufficient by analysts. But Telegram says people want to keep their chat history when they get a new phone, and they like having a data backup that will sync their chats across multiple devices. And that is why they let people choose whether they want their messages to be encrypted or not. When not turned on, though, chats are stored on Telegram's services, which are scattered throughout the world. But it has "disclosed 0 bytes of user data to third parties, including governments," Telegram states on its website. This ability to mix the public and the private, as well as the ability to use bots to engage with users has proved to be problematic. In early 2021, a database selling phone numbers pulled from Facebook was selling numbers for $20 per lookup. Similarly, security researchers found a network of deepfake bots on the platform that were generating images of people submitted by users to create non-consensual imagery, some of which involved children. 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. Pavel Durov, Telegram's CEO, is known as "the Russian Mark Zuckerberg," for co-founding VKontakte, which is Russian for "in touch," a Facebook imitator that became the country's most popular social networking site.
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