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	<id>https://wiki.universitas.ro/index.php?action=history&amp;feed=atom&amp;title=0473_-_Bipartit_Complet</id>
	<title>0473 - Bipartit Complet - Revision history</title>
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	<updated>2026-05-01T08:24:19Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.42.1</generator>
	<entry>
		<id>https://wiki.universitas.ro/index.php?title=0473_-_Bipartit_Complet&amp;diff=8573&amp;oldid=prev</id>
		<title>Simina: /* Date de ieşire */</title>
		<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=0473_-_Bipartit_Complet&amp;diff=8573&amp;oldid=prev"/>
		<updated>2023-12-27T14:57:07Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Date de ieşire&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 14:57, 27 December 2023&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-l6&quot;&gt;Line 6:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 6:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;= Date de ieşire =&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;= Date de ieşire =&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;Fişierul de ieşire &amp;lt;code&amp;gt;bipartitcompletOUT.txt&amp;lt;/code&amp;gt; va conţine matricea de adiacență a grafului construit, câte o linie a matricei pe o linie a fișierului, elementele de pe o linie fiind separate prin exact un spațiu.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; 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;Fişierul de ieşire &amp;lt;code&amp;gt;bipartitcompletOUT.txt&amp;lt;/code&amp;gt; va conţine matricea de adiacență a grafului construit, câte o linie a matricei pe o linie a fișierului, elementele de pe o linie fiind separate prin exact un spațiu&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;.În cazul în care restricțiile nu sunt îndeplinite, se va afișa mesajul &quot;Nu corespunde restricțiilor impuse&quot;&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;= Restricţii şi precizări =&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;= Restricţii şi precizări =&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Simina</name></author>
	</entry>
	<entry>
		<id>https://wiki.universitas.ro/index.php?title=0473_-_Bipartit_Complet&amp;diff=8556&amp;oldid=prev</id>
		<title>Simina: Pagină nouă: = Cerinţa = Se consideră două mulţimi nevide &lt;code&gt;A&lt;/code&gt; şi &lt;code&gt;B&lt;/code&gt;, cu proprietatea că formează o partiție a mulțimii &lt;code&gt;{1,2,...,n}.&lt;/code&gt; Să se construiască un graf bipartit complet cu &lt;code&gt;n&lt;/code&gt; vârfuri, bipartit peste partiţia formată din mulțimile &lt;code&gt;A&lt;/code&gt; și &lt;code&gt;B&lt;/code&gt;.  = Date de intrare = Fişierul de intrare &lt;code&gt;bipartitcompletIN.txt&lt;/code&gt; conţine pe prima linie numărul &lt;code&gt;n&lt;/code&gt;. Urmează un număr &lt;code&gt;k&lt;/code...</title>
		<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=0473_-_Bipartit_Complet&amp;diff=8556&amp;oldid=prev"/>
		<updated>2023-12-27T14:47:41Z</updated>

		<summary type="html">&lt;p&gt;Pagină nouă: = Cerinţa = Se consideră două mulţimi nevide &amp;lt;code&amp;gt;A&amp;lt;/code&amp;gt; şi &amp;lt;code&amp;gt;B&amp;lt;/code&amp;gt;, cu proprietatea că formează o partiție a mulțimii &amp;lt;code&amp;gt;{1,2,...,n}.&amp;lt;/code&amp;gt; Să se construiască un graf bipartit complet cu &amp;lt;code&amp;gt;n&amp;lt;/code&amp;gt; vârfuri, bipartit peste partiţia formată din mulțimile &amp;lt;code&amp;gt;A&amp;lt;/code&amp;gt; și &amp;lt;code&amp;gt;B&amp;lt;/code&amp;gt;.  = Date de intrare = Fişierul de intrare &amp;lt;code&amp;gt;bipartitcompletIN.txt&amp;lt;/code&amp;gt; conţine pe prima linie numărul &amp;lt;code&amp;gt;n&amp;lt;/code&amp;gt;. Urmează un număr &amp;lt;code&amp;gt;k&amp;lt;/code...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;= Cerinţa =&lt;br /&gt;
Se consideră două mulţimi nevide &amp;lt;code&amp;gt;A&amp;lt;/code&amp;gt; şi &amp;lt;code&amp;gt;B&amp;lt;/code&amp;gt;, cu proprietatea că formează o partiție a mulțimii &amp;lt;code&amp;gt;{1,2,...,n}.&amp;lt;/code&amp;gt; Să se construiască un graf bipartit complet cu &amp;lt;code&amp;gt;n&amp;lt;/code&amp;gt; vârfuri, bipartit peste partiţia formată din mulțimile &amp;lt;code&amp;gt;A&amp;lt;/code&amp;gt; și &amp;lt;code&amp;gt;B&amp;lt;/code&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
= Date de intrare =&lt;br /&gt;
Fişierul de intrare &amp;lt;code&amp;gt;bipartitcompletIN.txt&amp;lt;/code&amp;gt; conţine pe prima linie numărul &amp;lt;code&amp;gt;n&amp;lt;/code&amp;gt;. Urmează un număr &amp;lt;code&amp;gt;k&amp;lt;/code&amp;gt;, apoi &amp;lt;code&amp;gt;k&amp;lt;/code&amp;gt; numere naturale distincte cuprinse între &amp;lt;code&amp;gt;1&amp;lt;/code&amp;gt; și &amp;lt;code&amp;gt;n&amp;lt;/code&amp;gt;, reprezentând vârfurile din &amp;lt;code&amp;gt;A&amp;lt;/code&amp;gt;. Mulțimea &amp;lt;code&amp;gt;B&amp;lt;/code&amp;gt; conține toate numerele naturale cuprinse între &amp;lt;code&amp;gt;1&amp;lt;/code&amp;gt; și &amp;lt;code&amp;gt;n&amp;lt;/code&amp;gt; care nu sunt în &amp;lt;code&amp;gt;A&amp;lt;/code&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
= Date de ieşire =&lt;br /&gt;
Fişierul de ieşire &amp;lt;code&amp;gt;bipartitcompletOUT.txt&amp;lt;/code&amp;gt; va conţine matricea de adiacență a grafului construit, câte o linie a matricei pe o linie a fișierului, elementele de pe o linie fiind separate prin exact un spațiu.&lt;br /&gt;
&lt;br /&gt;
= Restricţii şi precizări =&lt;br /&gt;
&lt;br /&gt;
* &amp;lt;code&amp;gt;1 &amp;lt; k  &amp;lt; n ≤ 100&amp;lt;/code&amp;gt;&lt;br /&gt;
&lt;br /&gt;
= Exemplul 1: =&lt;br /&gt;
&amp;lt;code&amp;gt;bipartitcompletIN.txt&amp;lt;/code&amp;gt;&lt;br /&gt;
 7&lt;br /&gt;
 3 &lt;br /&gt;
 4 6 3&lt;br /&gt;
&amp;lt;code&amp;gt;bipartitcompletOUT.txt&amp;lt;/code&amp;gt;&lt;br /&gt;
 0 0 1 1 0 1 0 &lt;br /&gt;
 0 0 1 1 0 1 0 &lt;br /&gt;
 1 1 0 0 1 0 1 &lt;br /&gt;
 1 1 0 0 1 0 1 &lt;br /&gt;
 0 0 1 1 0 1 0 &lt;br /&gt;
 1 1 0 0 1 0 1 &lt;br /&gt;
 0 0 1 1 0 1 0 &lt;br /&gt;
&lt;br /&gt;
= Exemplul 2 : =&lt;br /&gt;
&amp;lt;code&amp;gt;bipartitcompletIN.txt&amp;lt;/code&amp;gt;&lt;br /&gt;
 1001&lt;br /&gt;
 3 &lt;br /&gt;
 4 6 3&lt;br /&gt;
&amp;lt;code&amp;gt;bipartitcompletOUT.txt&amp;lt;/code&amp;gt;&lt;br /&gt;
 Datele nu corespund restrictiilor impuse&lt;br /&gt;
&lt;br /&gt;
== Rezolvare ==&lt;br /&gt;
&amp;lt;syntaxhighlight lang=&amp;quot;python3&amp;quot; line=&amp;quot;1&amp;quot;&amp;gt;&lt;br /&gt;
def verifica_restrictii(k, n):&lt;br /&gt;
    if not (1 &amp;lt; k &amp;lt; n &amp;lt;= 100):&lt;br /&gt;
        with open(&amp;quot;bipartitcompletOUT.txt&amp;quot;, &amp;#039;w&amp;#039;) as f:&lt;br /&gt;
            f.write(&amp;quot;Datele nu corespund restrictiilor impuse&amp;quot;)&lt;br /&gt;
        return False&lt;br /&gt;
    return True&lt;br /&gt;
&lt;br /&gt;
def construieste_graf(n, A):&lt;br /&gt;
    # Inițializăm matricea de adiacență cu zerouri&lt;br /&gt;
    graf = [[0] * n for _ in range(n)]&lt;br /&gt;
&lt;br /&gt;
    # Marcam conexiunile dintre vârfurile din A și B&lt;br /&gt;
    for i in A:&lt;br /&gt;
        for j in range(1, n + 1):&lt;br /&gt;
            if j not in A:&lt;br /&gt;
                graf[i - 1][j - 1] = 1&lt;br /&gt;
                graf[j - 1][i - 1] = 1  # Adăugăm și conexiunea inversă&lt;br /&gt;
&lt;br /&gt;
    return graf&lt;br /&gt;
&lt;br /&gt;
def scrie_matrice_in_fisier(matrice, nume_fisier):&lt;br /&gt;
    with open(nume_fisier, &amp;#039;w&amp;#039;) as f:&lt;br /&gt;
        for linie in matrice:&lt;br /&gt;
            f.write(&amp;#039; &amp;#039;.join(map(str, linie)) + &amp;#039;\n&amp;#039;)&lt;br /&gt;
&lt;br /&gt;
if __name__ == &amp;quot;__main__&amp;quot;:&lt;br /&gt;
    # Citim datele de intrare din fișier&lt;br /&gt;
    with open(&amp;quot;bipartitcompletIN.txt&amp;quot;, &amp;#039;r&amp;#039;) as f:&lt;br /&gt;
        n = int(f.readline().strip())&lt;br /&gt;
        k = int(f.readline().strip())&lt;br /&gt;
        A = list(map(int, f.readline().strip().split()))&lt;br /&gt;
&lt;br /&gt;
    # Verificăm restricțiile&lt;br /&gt;
    if not verifica_restrictii(k, n):&lt;br /&gt;
        exit()&lt;br /&gt;
&lt;br /&gt;
    # Construim graful bipartit&lt;br /&gt;
    graf = construieste_graf(n, A)&lt;br /&gt;
&lt;br /&gt;
    # Scriem matricea de adiacență în fișierul de ieșire&lt;br /&gt;
    scrie_matrice_in_fisier(graf, &amp;quot;bipartitcompletOUT.txt&amp;quot;)&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/syntaxhighlight&amp;gt;&lt;/div&gt;</summary>
		<author><name>Simina</name></author>
	</entry>
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