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	<id>https://wiki.universitas.ro/index.php?action=history&amp;feed=atom&amp;title=0636_%E2%80%93_Arbore</id>
	<title>0636 – Arbore - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://wiki.universitas.ro/index.php?action=history&amp;feed=atom&amp;title=0636_%E2%80%93_Arbore"/>
	<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=0636_%E2%80%93_Arbore&amp;action=history"/>
	<updated>2026-05-01T04:50:15Z</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=0636_%E2%80%93_Arbore&amp;diff=8558&amp;oldid=prev</id>
		<title>Simina at 14:53, 27 December 2023</title>
		<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=0636_%E2%80%93_Arbore&amp;diff=8558&amp;oldid=prev"/>
		<updated>2023-12-27T14:53:27Z</updated>

		<summary type="html">&lt;p&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 14:53, 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 ieșire =&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 ieșire =&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;Fișierul de ieșire &amp;lt;code&amp;gt;arboreOUT.txt&amp;lt;/code&amp;gt; va conține pe prima linie elementele vectorului de tați al arborelui cu rădăcina în &amp;lt;code&amp;gt;k&amp;lt;/code&amp;gt;, separate printr-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;Fișierul de ieșire &amp;lt;code&amp;gt;arboreOUT.txt&amp;lt;/code&amp;gt; va conține pe prima linie elementele vectorului de tați al arborelui cu rădăcina în &amp;lt;code&amp;gt;k&amp;lt;/code&amp;gt;, separate printr-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;= Restricții și 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;= Restricții și 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=0636_%E2%80%93_Arbore&amp;diff=8406&amp;oldid=prev</id>
		<title>Simina at 21:35, 26 December 2023</title>
		<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=0636_%E2%80%93_Arbore&amp;diff=8406&amp;oldid=prev"/>
		<updated>2023-12-26T21:35:38Z</updated>

		<summary type="html">&lt;p&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 21:35, 26 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-l37&quot;&gt;Line 37:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 37:&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;&amp;lt;code&amp;gt;arboreOUT.txt&amp;lt;/code&amp;gt;&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;&amp;lt;code&amp;gt;arboreOUT.txt&amp;lt;/code&amp;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;div&gt;  Datele nu corespund restrictiilor impuse&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;  Datele nu corespund restrictiilor impuse&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&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 colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;== Rezolvare ==&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;div&gt;&amp;lt;syntaxhighlight lang=&amp;quot;python3&amp;quot;&amp;gt;&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;&amp;lt;syntaxhighlight lang=&amp;quot;python3&amp;quot;&amp;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;div&gt;def verifica_restrictii(n, k, muchii):&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;def verifica_restrictii(n, k, muchii):&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=0636_%E2%80%93_Arbore&amp;diff=8402&amp;oldid=prev</id>
		<title>Simina: Pagină nouă: = Cerința = Se dau cele &lt;code&gt;n-1&lt;/code&gt; muchii ale unui arbore cu &lt;code&gt;n&lt;/code&gt; noduri și un nod &lt;code&gt;k&lt;/code&gt; . Afișați vectorul de tați al arborelui cu rădăcina în &lt;code&gt;k&lt;/code&gt;.  = Date de intrare = Fișierul de intrare &lt;code&gt;arboreIN.txt&lt;/code&gt; conține pe prima linie numerele &lt;code&gt;n k&lt;/code&gt;, Următoarele &lt;code&gt;n-1&lt;/code&gt; linii vor conține câte o pereche &lt;code&gt;i j&lt;/code&gt;, reprezentând muchiile arborelui.  = Date de ieșire = Fișierul de ieșire &lt;code&gt;arb...</title>
		<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=0636_%E2%80%93_Arbore&amp;diff=8402&amp;oldid=prev"/>
		<updated>2023-12-26T21:24:40Z</updated>

		<summary type="html">&lt;p&gt;Pagină nouă: = Cerința = Se dau cele &amp;lt;code&amp;gt;n-1&amp;lt;/code&amp;gt; muchii ale unui arbore cu &amp;lt;code&amp;gt;n&amp;lt;/code&amp;gt; noduri și un nod &amp;lt;code&amp;gt;k&amp;lt;/code&amp;gt; . Afișați vectorul de tați al arborelui cu rădăcina în &amp;lt;code&amp;gt;k&amp;lt;/code&amp;gt;.  = Date de intrare = Fișierul de intrare &amp;lt;code&amp;gt;arboreIN.txt&amp;lt;/code&amp;gt; conține pe prima linie numerele &amp;lt;code&amp;gt;n k&amp;lt;/code&amp;gt;, Următoarele &amp;lt;code&amp;gt;n-1&amp;lt;/code&amp;gt; linii vor conține câte o pereche &amp;lt;code&amp;gt;i j&amp;lt;/code&amp;gt;, reprezentând muchiile arborelui.  = Date de ieșire = Fișierul de ieșire &amp;lt;code&amp;gt;arb...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;= Cerința =&lt;br /&gt;
Se dau cele &amp;lt;code&amp;gt;n-1&amp;lt;/code&amp;gt; muchii ale unui arbore cu &amp;lt;code&amp;gt;n&amp;lt;/code&amp;gt; noduri și un nod &amp;lt;code&amp;gt;k&amp;lt;/code&amp;gt; . Afișați vectorul de tați al arborelui cu rădăcina în &amp;lt;code&amp;gt;k&amp;lt;/code&amp;gt;.&lt;br /&gt;
&lt;br /&gt;
= Date de intrare =&lt;br /&gt;
Fișierul de intrare &amp;lt;code&amp;gt;arboreIN.txt&amp;lt;/code&amp;gt; conține pe prima linie numerele &amp;lt;code&amp;gt;n k&amp;lt;/code&amp;gt;, Următoarele &amp;lt;code&amp;gt;n-1&amp;lt;/code&amp;gt; linii vor conține câte o pereche &amp;lt;code&amp;gt;i j&amp;lt;/code&amp;gt;, reprezentând muchiile arborelui.&lt;br /&gt;
&lt;br /&gt;
= Date de ieșire =&lt;br /&gt;
Fișierul de ieșire &amp;lt;code&amp;gt;arboreOUT.txt&amp;lt;/code&amp;gt; va conține pe prima linie elementele vectorului de tați al arborelui cu rădăcina în &amp;lt;code&amp;gt;k&amp;lt;/code&amp;gt;, separate printr-un spațiu.&lt;br /&gt;
&lt;br /&gt;
= Restricții și precizări =&lt;br /&gt;
&lt;br /&gt;
* &amp;lt;code&amp;gt;1 ≤ n ≤ 100&amp;lt;/code&amp;gt;&lt;br /&gt;
* &amp;lt;code&amp;gt;1 ≤ k ≤ n&amp;lt;/code&amp;gt;&lt;br /&gt;
* în vectorul de tați rădăcina este marcată cu &amp;lt;code&amp;gt;0&amp;lt;/code&amp;gt;&lt;br /&gt;
&lt;br /&gt;
= Exemplul 1 : =&lt;br /&gt;
&amp;lt;code&amp;gt;arboreIN.txt&amp;lt;/code&amp;gt;&lt;br /&gt;
 7 4&lt;br /&gt;
 1 2&lt;br /&gt;
 1 4&lt;br /&gt;
 1 7&lt;br /&gt;
 3 7&lt;br /&gt;
 5 7&lt;br /&gt;
 6 7&lt;br /&gt;
&amp;lt;code&amp;gt;arboreOUT.txt&amp;lt;/code&amp;gt;&lt;br /&gt;
 4 1 7 0 7 7 1 &lt;br /&gt;
&lt;br /&gt;
= Exemplul 2 : =&lt;br /&gt;
&amp;lt;code&amp;gt;arboreIN.txt&amp;lt;/code&amp;gt;&lt;br /&gt;
 1000 1001&lt;br /&gt;
 1 2&lt;br /&gt;
 1 4&lt;br /&gt;
 1 7&lt;br /&gt;
 3 7&lt;br /&gt;
 5 7&lt;br /&gt;
 6 7&lt;br /&gt;
&amp;lt;code&amp;gt;arboreOUT.txt&amp;lt;/code&amp;gt;&lt;br /&gt;
 Datele nu corespund restrictiilor impuse&lt;br /&gt;
&amp;lt;syntaxhighlight lang=&amp;quot;python3&amp;quot;&amp;gt;&lt;br /&gt;
def verifica_restrictii(n, k, muchii):&lt;br /&gt;
    if not (1 &amp;lt;= n &amp;lt;= 100) or not (1 &amp;lt;= k &amp;lt;= n) or len(muchii) != n - 1:&lt;br /&gt;
        with open(&amp;quot;arboreOUT.txt&amp;quot;, &amp;quot;w&amp;quot;) as file_out:&lt;br /&gt;
            file_out.write(&amp;quot;Datele nu corespund restrictiilor impuse&amp;quot;)&lt;br /&gt;
        return False&lt;br /&gt;
    # Verifică dacă nodurile din muchii sunt în intervalul corect&lt;br /&gt;
    for muchie in muchii:&lt;br /&gt;
        if not (1 &amp;lt;= muchie[0] &amp;lt;= n) or not (1 &amp;lt;= muchie[1] &amp;lt;= n):&lt;br /&gt;
            with open(&amp;quot;arboreOUT.txt&amp;quot;, &amp;quot;w&amp;quot;) as file_out:&lt;br /&gt;
                file_out.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 dfs(nod, parinte, graf, rezultat):&lt;br /&gt;
    rezultat[nod] = parinte&lt;br /&gt;
    for vecin in graf[nod]:&lt;br /&gt;
        if vecin != parinte:&lt;br /&gt;
            dfs(vecin, nod, graf, rezultat)&lt;br /&gt;
&lt;br /&gt;
def main():&lt;br /&gt;
    # Citirea datelor de intrare&lt;br /&gt;
    with open(&amp;quot;arboreIN.txt&amp;quot;, &amp;quot;r&amp;quot;) as file_in:&lt;br /&gt;
        n, k = map(int, file_in.readline().split())&lt;br /&gt;
        muchii = [tuple(map(int, file_in.readline().split())) for _ in range(n - 1)]&lt;br /&gt;
&lt;br /&gt;
    # Verificarea restricțiilor&lt;br /&gt;
    if not verifica_restrictii(n, k, muchii):&lt;br /&gt;
        return&lt;br /&gt;
&lt;br /&gt;
    # Construirea grafului&lt;br /&gt;
    graf = {i: [] for i in range(1, n + 1)}&lt;br /&gt;
    for muchie in muchii:&lt;br /&gt;
        graf[muchie[0]].append(muchie[1])&lt;br /&gt;
        graf[muchie[1]].append(muchie[0])&lt;br /&gt;
&lt;br /&gt;
    # Inițializarea vectorului de tați cu 0&lt;br /&gt;
    parinti = [0] * (n + 1)&lt;br /&gt;
&lt;br /&gt;
    # Apelarea algoritmului DFS&lt;br /&gt;
    dfs(k, 0, graf, parinti)&lt;br /&gt;
&lt;br /&gt;
    # Scrierea rezultatului în fișierul de ieșire&lt;br /&gt;
    with open(&amp;quot;arboreOUT.txt&amp;quot;, &amp;quot;w&amp;quot;) as file_out:&lt;br /&gt;
        file_out.write(&amp;quot; &amp;quot;.join(map(str, parinti[1:])))&lt;br /&gt;
&lt;br /&gt;
if __name__ == &amp;quot;__main__&amp;quot;:&lt;br /&gt;
    main()&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/syntaxhighlight&amp;gt;&lt;/div&gt;</summary>
		<author><name>Simina</name></author>
	</entry>
</feed>