#комбинаторика #геометрия #алгебра #задача Предлагаем вам задачу с командной олимпиады проходящего прямо сейчас турнира Колмогорова!
Дано простое число p, пусть n=p^2+p+1. Рассмотрим семейство F из (p+1)-элементных подмножеств в n-элементном множестве X такое, что никакая пара подмножеств из F не пересекается ровно по одному элементу. Найдите максимальный размер такого семейства F.
#комбинаторика #геометрия #алгебра #задача Предлагаем вам задачу с командной олимпиады проходящего прямо сейчас турнира Колмогорова!
Дано простое число p, пусть n=p^2+p+1. Рассмотрим семейство F из (p+1)-элементных подмножеств в n-элементном множестве X такое, что никакая пара подмножеств из F не пересекается ровно по одному элементу. Найдите максимальный размер такого семейства F.
BY JustScience | Олимпиадная Математика
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Since its launch in 2013, Telegram has grown from a simple messaging app to a broadcast network. Its user base isn’t as vast as WhatsApp’s, and its broadcast platform is a fraction the size of Twitter, but it’s nonetheless showing its use. While Telegram has been embroiled in controversy for much of its life, it has become a vital source of communication during the invasion of Ukraine. But, if all of this is new to you, let us explain, dear friends, what on Earth a Telegram is meant to be, and why you should, or should not, need to care. The SC urges the public to refer to the SC’s I nvestor Alert List before investing. The list contains details of unauthorised websites, investment products, companies and individuals. Members of the public who suspect that they have been approached by unauthorised firms or individuals offering schemes that promise unrealistic returns "Someone posing as a Ukrainian citizen just joins the chat and starts spreading misinformation, or gathers data, like the location of shelters," Tsekhanovska said, noting how false messages have urged Ukrainians to turn off their phones at a specific time of night, citing cybersafety. Telegram boasts 500 million users, who share information individually and in groups in relative security. But Telegram's use as a one-way broadcast channel — which followers can join but not reply to — means content from inauthentic accounts can easily reach large, captive and eager audiences. Overall, extreme levels of fear in the market seems to have morphed into something more resembling concern. For example, the Cboe Volatility Index fell from its 2022 peak of 36, which it hit Monday, to around 30 on Friday, a sign of easing tensions. Meanwhile, while the price of WTI crude oil slipped from Sunday’s multiyear high $130 of barrel to $109 a pop. Markets have been expecting heavy restrictions on Russian oil, some of which the U.S. has already imposed, and that would reduce the global supply and bring about even more burdensome inflation.
from tw
