#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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Additionally, investors are often instructed to deposit monies into personal bank accounts of individuals who claim to represent a legitimate entity, and/or into an unrelated corporate account. To lend credence and to lure unsuspecting victims, perpetrators usually claim that their entity and/or the investment schemes are approved by financial authorities. At its heart, Telegram is little more than a messaging app like WhatsApp or Signal. But it also offers open channels that enable a single user, or a group of users, to communicate with large numbers in a method similar to a Twitter account. This has proven to be both a blessing and a curse for Telegram and its users, since these channels can be used for both good and ill. Right now, as Wired reports, the app is a key way for Ukrainians to receive updates from the government during the invasion. 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. "The argument from Telegram is, 'You should trust us because we tell you that we're trustworthy,'" Maréchal said. "It's really in the eye of the beholder whether that's something you want to buy into." That hurt tech stocks. For the past few weeks, the 10-year yield has traded between 1.72% and 2%, as traders moved into the bond for safety when Russia headlines were ugly—and out of it when headlines improved. Now, the yield is touching its pandemic-era high. If the yield breaks above that level, that could signal that it’s on a sustainable path higher. Higher long-dated bond yields make future profits less valuable—and many tech companies are valued on the basis of profits forecast for many years in the future.
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