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У задачи выше есть разные решения — например, такое:

Будем считать сторону квадрата равной 1. Если одна из сторон прямоугольника равна A, то его площадь не больше A (ведь вторая сторона не больше 1). Поэтому суммарна длина отмеченных отрезков не меньше суммарной площади всех прямоугольников, т.е. 1.

Задача, кстати, была на ММО и на Турнире городов, предложил ее В.В.Произволов.



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У задачи выше есть разные решения — например, такое:

Будем считать сторону квадрата равной 1. Если одна из сторон прямоугольника равна A, то его площадь не больше A (ведь вторая сторона не больше 1). Поэтому суммарна длина отмеченных отрезков не меньше суммарной площади всех прямоугольников, т.е. 1.

Задача, кстати, была на ММО и на Турнире городов, предложил ее В.В.Произволов.

BY Геометрия-канал


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Since January 2022, the SC has received a total of 47 complaints and enquiries on illegal investment schemes promoted through Telegram. These fraudulent schemes offer non-existent investment opportunities, promising very attractive and risk-free returns within a short span of time. They commonly offer unrealistic returns of as high as 1,000% within 24 hours or even within a few hours. 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. Some people used the platform to organize ahead of the storming of the U.S. Capitol in January 2021, and last month Senator Mark Warner sent a letter to Durov urging him to curb Russian information operations on Telegram. Messages are not fully encrypted by default. That means the company could, in theory, access the content of the messages, or be forced to hand over the data at the request of a government. Now safely in France with his spouse and three of his children, Kliuchnikov scrolls through Telegram to learn about the devastation happening in his home country.
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