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	<id>https://wiki.universitas.ro/index.php?action=history&amp;feed=atom&amp;title=0648_%E2%80%93_Subarbore_Num%C4%83rare</id>
	<title>0648 – Subarbore Numărare - Revision history</title>
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	<updated>2026-05-01T16:05:27Z</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=0648_%E2%80%93_Subarbore_Num%C4%83rare&amp;diff=8567&amp;oldid=prev</id>
		<title>Simina: /* Date de ieșire */</title>
		<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=0648_%E2%80%93_Subarbore_Num%C4%83rare&amp;diff=8567&amp;oldid=prev"/>
		<updated>2023-12-27T14:56:03Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Date de ieșire&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;
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				&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 14:56, 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;subarborenumarareOUT.txt&amp;lt;/code&amp;gt; va conține pe prima linie valoarea cerută.&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;subarborenumarareOUT.txt&amp;lt;/code&amp;gt; va conține pe prima linie valoarea cerută&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=0648_%E2%80%93_Subarbore_Num%C4%83rare&amp;diff=8415&amp;oldid=prev</id>
		<title>Simina: Pagină nouă: = Cerința = Se dă vectorul de tați al unui arbore cu rădăcină cu &lt;code&gt;n&lt;/code&gt; noduri și un nod &lt;code&gt;k&lt;/code&gt;. Determinați câte noduri conține subarborele cu rădăcina în &lt;code&gt;k&lt;/code&gt;.  = Date de intrare = Fișierul de intrare &lt;code&gt;subarborenumarareIN.txt&lt;/code&gt; conține pe prima linie numărul de noduri &lt;code&gt;n&lt;/code&gt; și nodul &lt;code&gt;k&lt;/code&gt;. Pe linia următoare se află vectorul de tați al arborelui, valorile fiind separate prin spații.  = Date de ieșir...</title>
		<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=0648_%E2%80%93_Subarbore_Num%C4%83rare&amp;diff=8415&amp;oldid=prev"/>
		<updated>2023-12-26T23:08:11Z</updated>

		<summary type="html">&lt;p&gt;Pagină nouă: = Cerința = Se dă vectorul de tați al unui arbore cu rădăcină 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;. Determinați câte noduri conține subarborele 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;subarborenumarareIN.txt&amp;lt;/code&amp;gt; conține pe prima linie numărul de noduri &amp;lt;code&amp;gt;n&amp;lt;/code&amp;gt; și nodul &amp;lt;code&amp;gt;k&amp;lt;/code&amp;gt;. Pe linia următoare se află vectorul de tați al arborelui, valorile fiind separate prin spații.  = Date de ieșir...&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 dă vectorul de tați al unui arbore cu rădăcină 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;. Determinați câte noduri conține subarborele 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;subarborenumarareIN.txt&amp;lt;/code&amp;gt; conține pe prima linie numărul de noduri &amp;lt;code&amp;gt;n&amp;lt;/code&amp;gt; și nodul &amp;lt;code&amp;gt;k&amp;lt;/code&amp;gt;. Pe linia următoare se află vectorul de tați al arborelui, valorile fiind separate prin spații.&lt;br /&gt;
&lt;br /&gt;
= Date de ieșire =&lt;br /&gt;
Fișierul de ieșire &amp;lt;code&amp;gt;subarborenumarareOUT.txt&amp;lt;/code&amp;gt; va conține pe prima linie valoarea cerută.&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;subarborenumarareIN.txt&amp;lt;/code&amp;gt;&lt;br /&gt;
 8 4&lt;br /&gt;
 4 3 0 3 2 1 4 1&lt;br /&gt;
&amp;lt;code&amp;gt;subarborenumarareOUT.txt&amp;lt;/code&amp;gt;&lt;br /&gt;
 5&lt;br /&gt;
&lt;br /&gt;
= Exemplul 2: =&lt;br /&gt;
&amp;lt;code&amp;gt;subarborenumarareIN.txt&amp;lt;/code&amp;gt;&lt;br /&gt;
 101 2&lt;br /&gt;
 4 3 0 3 2 1 4 1&lt;br /&gt;
&amp;lt;code&amp;gt;subarborenumarareOUT.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 numara_noduri_subarbore(n, k, vector_tati):&lt;br /&gt;
    relatii = {}&lt;br /&gt;
&lt;br /&gt;
    for i in range(1, n + 1):&lt;br /&gt;
        parinte = vector_tati[i - 1]&lt;br /&gt;
        if parinte not in relatii:&lt;br /&gt;
            relatii[parinte] = []&lt;br /&gt;
        relatii[parinte].append(i)&lt;br /&gt;
&lt;br /&gt;
    def numara_noduri_recursiv(nod):&lt;br /&gt;
        numar_noduri = 1&lt;br /&gt;
        if nod in relatii:&lt;br /&gt;
            for copil in relatii[nod]:&lt;br /&gt;
                numar_noduri += numara_noduri_recursiv(copil)&lt;br /&gt;
        return numar_noduri&lt;br /&gt;
&lt;br /&gt;
    rezultat = numara_noduri_recursiv(k)&lt;br /&gt;
&lt;br /&gt;
    return rezultat&lt;br /&gt;
&lt;br /&gt;
def verificare_restricții(n, k):&lt;br /&gt;
    if not (1 &amp;lt;= n &amp;lt;= 100 and 1 &amp;lt;= k &amp;lt;= n):&lt;br /&gt;
        with open(&amp;quot;subarborenumarareOUT.txt&amp;quot;, &amp;quot;w&amp;quot;) 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;
# Citire date de intrare&lt;br /&gt;
with open(&amp;quot;subarborenumarareIN.txt&amp;quot;, &amp;quot;r&amp;quot;) as f:&lt;br /&gt;
    n, k = map(int, f.readline().split())&lt;br /&gt;
    vector_tati = list(map(int, f.readline().split()))&lt;br /&gt;
&lt;br /&gt;
# Verificare restricții&lt;br /&gt;
if verificare_restricții(n, k):&lt;br /&gt;
    # Calcul și scriere rezultat în fișierul de ieșire&lt;br /&gt;
    rezultat = numara_noduri_subarbore(n, k, vector_tati)&lt;br /&gt;
    with open(&amp;quot;subarborenumarareOUT.txt&amp;quot;, &amp;quot;w&amp;quot;) as f:&lt;br /&gt;
        f.write(str(rezultat))&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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