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#math

Задачка на вечер: n фиксированных чисел x1, ..., xn в полуинтервале [0; 1) хешируются в таблицу с закрытой адресацией размера m методом floor(x*m). Покажите, что независимо от n, xi, m, увеличение размера таблицы может ухудшить среднее время запроса только в константу раз.



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#math

Задачка на вечер: n фиксированных чисел x1, ..., xn в полуинтервале [0; 1) хешируются в таблицу с закрытой адресацией размера m методом floor(x*m). Покажите, что независимо от n, xi, m, увеличение размера таблицы может ухудшить среднее время запроса только в константу раз.

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False news often spreads via public groups, or chats, with potentially fatal effects. The Dow Jones Industrial Average fell 230 points, or 0.7%. Meanwhile, the S&P 500 and the Nasdaq Composite dropped 1.3% and 2.2%, respectively. All three indexes began the day with gains before selling off. Markets continued to grapple with the economic and corporate earnings implications relating to the Russia-Ukraine conflict. “We have a ton of uncertainty right now,” said Stephanie Link, chief investment strategist and portfolio manager at Hightower Advisors. “We’re dealing with a war, we’re dealing with inflation. We don’t know what it means to earnings.” 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. As a result, the pandemic saw many newcomers to Telegram, including prominent anti-vaccine activists who used the app's hands-off approach to share false information on shots, a study from the Institute for Strategic Dialogue shows.
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