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		<title>Участник:StasFomin/Решения задач/MAX-CUT: вероятностное округление/Задачи/Матожидание разреза - История изменений</title>
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		<updated>2026-04-20T11:16:15Z</updated>
		<subtitle>История изменений этой страницы в вики</subtitle>
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	<entry>
		<id>https://discopal.ispras.ru/index.php?title=%D0%A3%D1%87%D0%B0%D1%81%D1%82%D0%BD%D0%B8%D0%BA:StasFomin/%D0%A0%D0%B5%D1%88%D0%B5%D0%BD%D0%B8%D1%8F_%D0%B7%D0%B0%D0%B4%D0%B0%D1%87/MAX-CUT:_%D0%B2%D0%B5%D1%80%D0%BE%D1%8F%D1%82%D0%BD%D0%BE%D1%81%D1%82%D0%BD%D0%BE%D0%B5_%D0%BE%D0%BA%D1%80%D1%83%D0%B3%D0%BB%D0%B5%D0%BD%D0%B8%D0%B5/%D0%97%D0%B0%D0%B4%D0%B0%D1%87%D0%B8/%D0%9C%D0%B0%D1%82%D0%BE%D0%B6%D0%B8%D0%B4%D0%B0%D0%BD%D0%B8%D0%B5_%D1%80%D0%B0%D0%B7%D1%80%D0%B5%D0%B7%D0%B0&amp;diff=12757&amp;oldid=prev</id>
		<title>StasFomin в 19:15, 6 октября 2020</title>
		<link rel="alternate" type="text/html" href="https://discopal.ispras.ru/index.php?title=%D0%A3%D1%87%D0%B0%D1%81%D1%82%D0%BD%D0%B8%D0%BA:StasFomin/%D0%A0%D0%B5%D1%88%D0%B5%D0%BD%D0%B8%D1%8F_%D0%B7%D0%B0%D0%B4%D0%B0%D1%87/MAX-CUT:_%D0%B2%D0%B5%D1%80%D0%BE%D1%8F%D1%82%D0%BD%D0%BE%D1%81%D1%82%D0%BD%D0%BE%D0%B5_%D0%BE%D0%BA%D1%80%D1%83%D0%B3%D0%BB%D0%B5%D0%BD%D0%B8%D0%B5/%D0%97%D0%B0%D0%B4%D0%B0%D1%87%D0%B8/%D0%9C%D0%B0%D1%82%D0%BE%D0%B6%D0%B8%D0%B4%D0%B0%D0%BD%D0%B8%D0%B5_%D1%80%D0%B0%D0%B7%D1%80%D0%B5%D0%B7%D0%B0&amp;diff=12757&amp;oldid=prev"/>
				<updated>2020-10-06T19:15:17Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;tr style='vertical-align: top;' lang='ru'&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Предыдущая&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Версия 19:15, 6 октября 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Строка 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Строка 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* [[MAX-CUT: вероятностное округление/Задачи/Матожидание разреза]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Простое решение:&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Простое решение:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l11&quot; &gt;Строка 11:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Строка 13:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:Матожидание разреза в случайном графе.jpg|center]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[File:Матожидание разреза в случайном графе.jpg|center]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Category&lt;/del&gt;:Решения]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Категория&lt;/ins&gt;:Решения]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

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&lt;/table&gt;</summary>
		<author><name>StasFomin</name></author>	</entry>

	<entry>
		<id>https://discopal.ispras.ru/index.php?title=%D0%A3%D1%87%D0%B0%D1%81%D1%82%D0%BD%D0%B8%D0%BA:StasFomin/%D0%A0%D0%B5%D1%88%D0%B5%D0%BD%D0%B8%D1%8F_%D0%B7%D0%B0%D0%B4%D0%B0%D1%87/MAX-CUT:_%D0%B2%D0%B5%D1%80%D0%BE%D1%8F%D1%82%D0%BD%D0%BE%D1%81%D1%82%D0%BD%D0%BE%D0%B5_%D0%BE%D0%BA%D1%80%D1%83%D0%B3%D0%BB%D0%B5%D0%BD%D0%B8%D0%B5/%D0%97%D0%B0%D0%B4%D0%B0%D1%87%D0%B8/%D0%9C%D0%B0%D1%82%D0%BE%D0%B6%D0%B8%D0%B4%D0%B0%D0%BD%D0%B8%D0%B5_%D1%80%D0%B0%D0%B7%D1%80%D0%B5%D0%B7%D0%B0&amp;diff=12754&amp;oldid=prev</id>
		<title>StasFomin: StasFomin переименовал страницу MAX-CUT: вероятностное округление/Задачи/Матожидание разреза/Решение в [[Участник:StasFomin/Решения задач/MAX-CUT: вер…</title>
		<link rel="alternate" type="text/html" href="https://discopal.ispras.ru/index.php?title=%D0%A3%D1%87%D0%B0%D1%81%D1%82%D0%BD%D0%B8%D0%BA:StasFomin/%D0%A0%D0%B5%D1%88%D0%B5%D0%BD%D0%B8%D1%8F_%D0%B7%D0%B0%D0%B4%D0%B0%D1%87/MAX-CUT:_%D0%B2%D0%B5%D1%80%D0%BE%D1%8F%D1%82%D0%BD%D0%BE%D1%81%D1%82%D0%BD%D0%BE%D0%B5_%D0%BE%D0%BA%D1%80%D1%83%D0%B3%D0%BB%D0%B5%D0%BD%D0%B8%D0%B5/%D0%97%D0%B0%D0%B4%D0%B0%D1%87%D0%B8/%D0%9C%D0%B0%D1%82%D0%BE%D0%B6%D0%B8%D0%B4%D0%B0%D0%BD%D0%B8%D0%B5_%D1%80%D0%B0%D0%B7%D1%80%D0%B5%D0%B7%D0%B0&amp;diff=12754&amp;oldid=prev"/>
				<updated>2020-10-06T19:14:52Z</updated>
		
		<summary type="html">&lt;p&gt;StasFomin переименовал страницу &lt;a href=&quot;/index.php?title=MAX-CUT:_%D0%B2%D0%B5%D1%80%D0%BE%D1%8F%D1%82%D0%BD%D0%BE%D1%81%D1%82%D0%BD%D0%BE%D0%B5_%D0%BE%D0%BA%D1%80%D1%83%D0%B3%D0%BB%D0%B5%D0%BD%D0%B8%D0%B5/%D0%97%D0%B0%D0%B4%D0%B0%D1%87%D0%B8/%D0%9C%D0%B0%D1%82%D0%BE%D0%B6%D0%B8%D0%B4%D0%B0%D0%BD%D0%B8%D0%B5_%D1%80%D0%B0%D0%B7%D1%80%D0%B5%D0%B7%D0%B0/%D0%A0%D0%B5%D1%88%D0%B5%D0%BD%D0%B8%D0%B5&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;MAX-CUT: вероятностное округление/Задачи/Матожидание разреза/Решение (страница не существует)&quot;&gt;MAX-CUT: вероятностное округление/Задачи/Матожидание разреза/Решение&lt;/a&gt; в [[Участник:StasFomin/Решения задач/MAX-CUT: вер…&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;tr style='vertical-align: top;' lang='ru'&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Предыдущая&lt;/td&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Версия 19:14, 6 октября 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan='2' style='text-align: center;' lang='ru'&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(нет различий)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>StasFomin</name></author>	</entry>

	<entry>
		<id>https://discopal.ispras.ru/index.php?title=%D0%A3%D1%87%D0%B0%D1%81%D1%82%D0%BD%D0%B8%D0%BA:StasFomin/%D0%A0%D0%B5%D1%88%D0%B5%D0%BD%D0%B8%D1%8F_%D0%B7%D0%B0%D0%B4%D0%B0%D1%87/MAX-CUT:_%D0%B2%D0%B5%D1%80%D0%BE%D1%8F%D1%82%D0%BD%D0%BE%D1%81%D1%82%D0%BD%D0%BE%D0%B5_%D0%BE%D0%BA%D1%80%D1%83%D0%B3%D0%BB%D0%B5%D0%BD%D0%B8%D0%B5/%D0%97%D0%B0%D0%B4%D0%B0%D1%87%D0%B8/%D0%9C%D0%B0%D1%82%D0%BE%D0%B6%D0%B8%D0%B4%D0%B0%D0%BD%D0%B8%D0%B5_%D1%80%D0%B0%D0%B7%D1%80%D0%B5%D0%B7%D0%B0&amp;diff=12751&amp;oldid=prev</id>
		<title>StasFomin: StasFomin переименовал страницу MAX-CUT: вероятностное округление/Матожидание разреза/Решение в [[MAX-CUT: вероятностное округление/Задачи/Матож…</title>
		<link rel="alternate" type="text/html" href="https://discopal.ispras.ru/index.php?title=%D0%A3%D1%87%D0%B0%D1%81%D1%82%D0%BD%D0%B8%D0%BA:StasFomin/%D0%A0%D0%B5%D1%88%D0%B5%D0%BD%D0%B8%D1%8F_%D0%B7%D0%B0%D0%B4%D0%B0%D1%87/MAX-CUT:_%D0%B2%D0%B5%D1%80%D0%BE%D1%8F%D1%82%D0%BD%D0%BE%D1%81%D1%82%D0%BD%D0%BE%D0%B5_%D0%BE%D0%BA%D1%80%D1%83%D0%B3%D0%BB%D0%B5%D0%BD%D0%B8%D0%B5/%D0%97%D0%B0%D0%B4%D0%B0%D1%87%D0%B8/%D0%9C%D0%B0%D1%82%D0%BE%D0%B6%D0%B8%D0%B4%D0%B0%D0%BD%D0%B8%D0%B5_%D1%80%D0%B0%D0%B7%D1%80%D0%B5%D0%B7%D0%B0&amp;diff=12751&amp;oldid=prev"/>
				<updated>2020-10-06T19:12:40Z</updated>
		
		<summary type="html">&lt;p&gt;StasFomin переименовал страницу &lt;a href=&quot;/index.php?title=MAX-CUT:_%D0%B2%D0%B5%D1%80%D0%BE%D1%8F%D1%82%D0%BD%D0%BE%D1%81%D1%82%D0%BD%D0%BE%D0%B5_%D0%BE%D0%BA%D1%80%D1%83%D0%B3%D0%BB%D0%B5%D0%BD%D0%B8%D0%B5/%D0%9C%D0%B0%D1%82%D0%BE%D0%B6%D0%B8%D0%B4%D0%B0%D0%BD%D0%B8%D0%B5_%D1%80%D0%B0%D0%B7%D1%80%D0%B5%D0%B7%D0%B0/%D0%A0%D0%B5%D1%88%D0%B5%D0%BD%D0%B8%D0%B5&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;MAX-CUT: вероятностное округление/Матожидание разреза/Решение (страница не существует)&quot;&gt;MAX-CUT: вероятностное округление/Матожидание разреза/Решение&lt;/a&gt; в [[MAX-CUT: вероятностное округление/Задачи/Матож…&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;tr style='vertical-align: top;' lang='ru'&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Предыдущая&lt;/td&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Версия 19:12, 6 октября 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan='2' style='text-align: center;' lang='ru'&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(нет различий)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>StasFomin</name></author>	</entry>

	<entry>
		<id>https://discopal.ispras.ru/index.php?title=%D0%A3%D1%87%D0%B0%D1%81%D1%82%D0%BD%D0%B8%D0%BA:StasFomin/%D0%A0%D0%B5%D1%88%D0%B5%D0%BD%D0%B8%D1%8F_%D0%B7%D0%B0%D0%B4%D0%B0%D1%87/MAX-CUT:_%D0%B2%D0%B5%D1%80%D0%BE%D1%8F%D1%82%D0%BD%D0%BE%D1%81%D1%82%D0%BD%D0%BE%D0%B5_%D0%BE%D0%BA%D1%80%D1%83%D0%B3%D0%BB%D0%B5%D0%BD%D0%B8%D0%B5/%D0%97%D0%B0%D0%B4%D0%B0%D1%87%D0%B8/%D0%9C%D0%B0%D1%82%D0%BE%D0%B6%D0%B8%D0%B4%D0%B0%D0%BD%D0%B8%D0%B5_%D1%80%D0%B0%D0%B7%D1%80%D0%B5%D0%B7%D0%B0&amp;diff=753&amp;oldid=prev</id>
		<title>StasFomin в 22:09, 28 декабря 2011</title>
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				<updated>2011-12-28T22:09:24Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Новая страница&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Простое решение:&lt;br /&gt;
&lt;br /&gt;
* ½·n² ребер в полном графе&lt;br /&gt;
* × ½  — вероятность появления ребра&lt;br /&gt;
* × ½  — вероятность, что ребро ляжет на разрез.&lt;br /&gt;
&lt;br /&gt;
→ n²/8&lt;br /&gt;
&lt;br /&gt;
Можно длинно и научно (todo — попробовать вычислить это через sympy или Maxima).&lt;br /&gt;
&lt;br /&gt;
[[File:Матожидание разреза в случайном графе.jpg|center]]&lt;br /&gt;
&lt;br /&gt;
[[Category:Решения]]&lt;/div&gt;</summary>
		<author><name>StasFomin</name></author>	</entry>

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