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	<id>https://wiki.universitas.ro/index.php?action=history&amp;feed=atom&amp;title=4156_%E2%80%93_Nivele_Pare</id>
	<title>4156 – Nivele Pare - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://wiki.universitas.ro/index.php?action=history&amp;feed=atom&amp;title=4156_%E2%80%93_Nivele_Pare"/>
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	<updated>2026-05-01T04:50:11Z</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=4156_%E2%80%93_Nivele_Pare&amp;diff=8562&amp;oldid=prev</id>
		<title>Simina: /* Date de ieșire */</title>
		<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=4156_%E2%80%93_Nivele_Pare&amp;diff=8562&amp;oldid=prev"/>
		<updated>2023-12-27T14:55:03Z</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;
				&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 14:55, 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-l9&quot;&gt;Line 9:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 9:&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;nivelepareOUT.txt&amp;lt;/code&amp;gt; va conține mai multe linii. Fiecare linie &amp;lt;code&amp;gt;i&amp;lt;/code&amp;gt; conține, în ordine crescătoare, nodurile aflate pe nivelul &amp;lt;code&amp;gt;2*(i-1)&amp;lt;/code&amp;gt;.&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;nivelepareOUT.txt&amp;lt;/code&amp;gt; va conține mai multe linii. Fiecare linie &amp;lt;code&amp;gt;i&amp;lt;/code&amp;gt; conține, în ordine crescătoare, nodurile aflate pe nivelul &amp;lt;code&amp;gt;2*(i-1)&amp;lt;/code&amp;gt;&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=4156_%E2%80%93_Nivele_Pare&amp;diff=8410&amp;oldid=prev</id>
		<title>Simina: Pagină nouă: == Enunț == Într-un arbore cu rădăcină, nivelul unui nod este lungimea lanțului de la rădăcină la acel nod. Astfel, rădăcina este pe nivelul &lt;code&gt;0&lt;/code&gt;, fiii rădăcinii pe nivelul &lt;code&gt;1&lt;/code&gt;, fiii fiilor rădăcinii pe nivelul &lt;code&gt;2&lt;/code&gt;, etc.  = Cerința = Se dă vectorul de tați al unui arbore cu rădăcină cu &lt;code&gt;n&lt;/code&gt; noduri. Determinați nodurile situate pe nivele pare.  = Date de intrare = Fișierul de intrare &lt;code&gt;nivelepareIN.txt&lt;/code&gt;...</title>
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		<updated>2023-12-26T22:29:08Z</updated>

		<summary type="html">&lt;p&gt;Pagină nouă: == Enunț == Într-un arbore cu rădăcină, nivelul unui nod este lungimea lanțului de la rădăcină la acel nod. Astfel, rădăcina este pe nivelul &amp;lt;code&amp;gt;0&amp;lt;/code&amp;gt;, fiii rădăcinii pe nivelul &amp;lt;code&amp;gt;1&amp;lt;/code&amp;gt;, fiii fiilor rădăcinii pe nivelul &amp;lt;code&amp;gt;2&amp;lt;/code&amp;gt;, etc.  = Cerința = Se dă vectorul de tați al unui arbore cu rădăcină cu &amp;lt;code&amp;gt;n&amp;lt;/code&amp;gt; noduri. Determinați nodurile situate pe nivele pare.  = Date de intrare = Fișierul de intrare &amp;lt;code&amp;gt;nivelepareIN.txt&amp;lt;/code&amp;gt;...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Enunț ==&lt;br /&gt;
Într-un arbore cu rădăcină, nivelul unui nod este lungimea lanțului de la rădăcină la acel nod. Astfel, rădăcina este pe nivelul &amp;lt;code&amp;gt;0&amp;lt;/code&amp;gt;, fiii rădăcinii pe nivelul &amp;lt;code&amp;gt;1&amp;lt;/code&amp;gt;, fiii fiilor rădăcinii pe nivelul &amp;lt;code&amp;gt;2&amp;lt;/code&amp;gt;, etc.&lt;br /&gt;
&lt;br /&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. Determinați nodurile situate pe nivele pare.&lt;br /&gt;
&lt;br /&gt;
= Date de intrare =&lt;br /&gt;
Fișierul de intrare &amp;lt;code&amp;gt;nivelepareIN.txt&amp;lt;/code&amp;gt; conține pe prima linie numărul de noduri &amp;lt;code&amp;gt;n&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;nivelepareOUT.txt&amp;lt;/code&amp;gt; va conține mai multe linii. Fiecare linie &amp;lt;code&amp;gt;i&amp;lt;/code&amp;gt; conține, în ordine crescătoare, nodurile aflate pe nivelul &amp;lt;code&amp;gt;2*(i-1)&amp;lt;/code&amp;gt;.&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;
* 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;nivelepareIN.txt&amp;lt;/code&amp;gt;&lt;br /&gt;
 8&lt;br /&gt;
 4 3 0 3 2 1 2 1&lt;br /&gt;
&amp;lt;code&amp;gt;nivelepareOUT.txt&amp;lt;/code&amp;gt;&lt;br /&gt;
 3&lt;br /&gt;
 1 5 7&lt;br /&gt;
&lt;br /&gt;
= Exemplul 2: =&lt;br /&gt;
&amp;lt;code&amp;gt;nivelepareIN.txt&amp;lt;/code&amp;gt;&lt;br /&gt;
 101&lt;br /&gt;
 4 3 0 3 2 1 2 1&lt;br /&gt;
&amp;lt;code&amp;gt;nivelepareOUT.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(n):&lt;br /&gt;
    if 1 &amp;lt;= n &amp;lt;= 100:&lt;br /&gt;
        return True&lt;br /&gt;
    return False&lt;br /&gt;
&lt;br /&gt;
def citeste_arbore_din_fisier(file_path):&lt;br /&gt;
    with open(file_path, &amp;#039;r&amp;#039;) as file:&lt;br /&gt;
        n = int(file.readline())&lt;br /&gt;
        if not verifica_restrictii(n):&lt;br /&gt;
            return None, None, &amp;quot;Datele nu corespund restrictiilor impuse&amp;quot;&lt;br /&gt;
        parinti = list(map(int, file.readline().split()))&lt;br /&gt;
    return n, parinti, None&lt;br /&gt;
&lt;br /&gt;
def scrie_noduri_pe_nivele_pare(file_path, nivele_pare):&lt;br /&gt;
    with open(file_path, &amp;#039;w&amp;#039;) as file:&lt;br /&gt;
        for nivel in nivele_pare:&lt;br /&gt;
            file.write(&amp;#039; &amp;#039;.join(map(str, nivel)) + &amp;#039;\n&amp;#039;)&lt;br /&gt;
&lt;br /&gt;
def noduri_pe_nivele_pare(n, parinti):&lt;br /&gt;
    nivele_pare = [[] for _ in range(n)]&lt;br /&gt;
&lt;br /&gt;
    for i in range(n):&lt;br /&gt;
        parinte = parinti[i]&lt;br /&gt;
        nivel = 0&lt;br /&gt;
        while parinte != 0:&lt;br /&gt;
            nivel += 1&lt;br /&gt;
            parinte = parinti[parinte - 1]&lt;br /&gt;
&lt;br /&gt;
        if nivel % 2 == 0:&lt;br /&gt;
            nivele_pare[nivel // 2].append(i + 1)&lt;br /&gt;
&lt;br /&gt;
    return nivele_pare&lt;br /&gt;
&lt;br /&gt;
if __name__ == &amp;quot;__main__&amp;quot;:&lt;br /&gt;
    input_file = &amp;quot;nivelepareIN.txt&amp;quot;&lt;br /&gt;
    output_file = &amp;quot;nivelepareOUT.txt&amp;quot;&lt;br /&gt;
&lt;br /&gt;
    n, parinti, restrictii_msg = citeste_arbore_din_fisier(input_file)&lt;br /&gt;
&lt;br /&gt;
    if restrictii_msg:&lt;br /&gt;
        with open(output_file, &amp;#039;w&amp;#039;) as file:&lt;br /&gt;
            file.write(restrictii_msg)&lt;br /&gt;
    else:&lt;br /&gt;
        nivele_pare = noduri_pe_nivele_pare(n, parinti)&lt;br /&gt;
        scrie_noduri_pe_nivele_pare(output_file, nivele_pare)&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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