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	<id>https://wiki.universitas.ro/index.php?action=history&amp;feed=atom&amp;title=2749_%E2%80%93_Tat%C4%83</id>
	<title>2749 – Tată - Revision history</title>
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	<updated>2026-05-02T01:50:04Z</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=2749_%E2%80%93_Tat%C4%83&amp;diff=8560&amp;oldid=prev</id>
		<title>Simina: /* Date de ieșire */</title>
		<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=2749_%E2%80%93_Tat%C4%83&amp;diff=8560&amp;oldid=prev"/>
		<updated>2023-12-27T14:54:43Z</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;
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				&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 14:54, 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;Programul va afișa pe ecran mesajul &amp;lt;code&amp;gt;DA&amp;lt;/code&amp;gt;, dacă &amp;lt;code&amp;gt;t&amp;lt;/code&amp;gt; este vector de tați, sau mesajul &amp;lt;code&amp;gt;NU&amp;lt;/code&amp;gt; în caz contrar.&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;Programul va afișa pe ecran mesajul &amp;lt;code&amp;gt;DA&amp;lt;/code&amp;gt;, dacă &amp;lt;code&amp;gt;t&amp;lt;/code&amp;gt; este vector de tați, sau mesajul &amp;lt;code&amp;gt;NU&amp;lt;/code&amp;gt; în caz contrar&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=2749_%E2%80%93_Tat%C4%83&amp;diff=8408&amp;oldid=prev</id>
		<title>Simina: Pagină nouă: = Cerința = Se dă un vector &lt;code&gt;t=(t[1], t[2], ..., t[n])&lt;/code&gt; care memorează numere naturale cuprinse între &lt;code&gt;0&lt;/code&gt; și &lt;code&gt;n&lt;/code&gt;. Să se verifice dacă &lt;code&gt;t&lt;/code&gt; este sau nu vector de tați asociat unui arbore cu rădăcină.  = Date de intrare = Programul citește de la tastatură numărul &lt;code&gt;n&lt;/code&gt;, iar apoi &lt;code&gt;n&lt;/code&gt; numere naturale, separate prin spații.  = Date de ieșire = Programul va afișa pe ecran mesajul &lt;code&gt;DA&lt;/code&gt;, dacă...</title>
		<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=2749_%E2%80%93_Tat%C4%83&amp;diff=8408&amp;oldid=prev"/>
		<updated>2023-12-26T21:42:58Z</updated>

		<summary type="html">&lt;p&gt;Pagină nouă: = Cerința = Se dă un vector &amp;lt;code&amp;gt;t=(t[1], t[2], ..., t[n])&amp;lt;/code&amp;gt; care memorează numere naturale cuprinse între &amp;lt;code&amp;gt;0&amp;lt;/code&amp;gt; și &amp;lt;code&amp;gt;n&amp;lt;/code&amp;gt;. Să se verifice dacă &amp;lt;code&amp;gt;t&amp;lt;/code&amp;gt; este sau nu vector de tați asociat unui arbore cu rădăcină.  = Date de intrare = Programul citește de la tastatură numărul &amp;lt;code&amp;gt;n&amp;lt;/code&amp;gt;, iar apoi &amp;lt;code&amp;gt;n&amp;lt;/code&amp;gt; numere naturale, separate prin spații.  = Date de ieșire = Programul va afișa pe ecran mesajul &amp;lt;code&amp;gt;DA&amp;lt;/code&amp;gt;, dacă...&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 un vector &amp;lt;code&amp;gt;t=(t[1], t[2], ..., t[n])&amp;lt;/code&amp;gt; care memorează numere naturale cuprinse între &amp;lt;code&amp;gt;0&amp;lt;/code&amp;gt; și &amp;lt;code&amp;gt;n&amp;lt;/code&amp;gt;. Să se verifice dacă &amp;lt;code&amp;gt;t&amp;lt;/code&amp;gt; este sau nu vector de tați asociat unui arbore cu rădăcină.&lt;br /&gt;
&lt;br /&gt;
= Date de intrare =&lt;br /&gt;
Programul citește de la tastatură numărul &amp;lt;code&amp;gt;n&amp;lt;/code&amp;gt;, iar apoi &amp;lt;code&amp;gt;n&amp;lt;/code&amp;gt; numere naturale, separate prin spații.&lt;br /&gt;
&lt;br /&gt;
= Date de ieșire =&lt;br /&gt;
Programul va afișa pe ecran mesajul &amp;lt;code&amp;gt;DA&amp;lt;/code&amp;gt;, dacă &amp;lt;code&amp;gt;t&amp;lt;/code&amp;gt; este vector de tați, sau mesajul &amp;lt;code&amp;gt;NU&amp;lt;/code&amp;gt; în caz contrar.&lt;br /&gt;
&lt;br /&gt;
= Restricții și precizări =&lt;br /&gt;
&lt;br /&gt;
* &amp;lt;code&amp;gt;1 ≤ n ≤ 100.000&amp;lt;/code&amp;gt;&lt;br /&gt;
* &amp;lt;code&amp;gt;0 ≤ t[i] ≤ n&amp;lt;/code&amp;gt;&lt;br /&gt;
&lt;br /&gt;
= Exemplul 1: =&lt;br /&gt;
Intrare&lt;br /&gt;
 5&lt;br /&gt;
 0 1 1 3 3&lt;br /&gt;
Ieșire&lt;br /&gt;
 DA&lt;br /&gt;
&lt;br /&gt;
= Exemplul 2: =&lt;br /&gt;
Intrare&lt;br /&gt;
 5&lt;br /&gt;
 2 0 2 5 4&lt;br /&gt;
Ieșire&lt;br /&gt;
 NU&lt;br /&gt;
&lt;br /&gt;
=== Explicație ===&lt;br /&gt;
Nodul &amp;lt;code&amp;gt;4&amp;lt;/code&amp;gt; are ca tată pe &amp;lt;code&amp;gt;5&amp;lt;/code&amp;gt;, iar nodul &amp;lt;code&amp;gt;5&amp;lt;/code&amp;gt; are ca tată pe &amp;lt;code&amp;gt;4&amp;lt;/code&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Exemplul 3: ==&lt;br /&gt;
Intrare&lt;br /&gt;
 100001&lt;br /&gt;
Consola&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;&amp;gt;&lt;br /&gt;
def sunt_restrictii_incorecte(n, t):&lt;br /&gt;
    # Verifică restricțiile pentru n&lt;br /&gt;
    if not (1 &amp;lt;= n &amp;lt;= 100000):&lt;br /&gt;
        return True&lt;br /&gt;
&lt;br /&gt;
    # Verifică restricțiile pentru t[i]&lt;br /&gt;
    for i in range(n):&lt;br /&gt;
        if not (0 &amp;lt;= t[i] &amp;lt;= n):&lt;br /&gt;
            return True&lt;br /&gt;
&lt;br /&gt;
    return False&lt;br /&gt;
&lt;br /&gt;
def este_vector_de_tati(t):&lt;br /&gt;
    n = len(t)&lt;br /&gt;
&lt;br /&gt;
    # Verifică dacă restricțiile sunt respectate&lt;br /&gt;
    if sunt_restrictii_incorecte(n, t):&lt;br /&gt;
        return False&lt;br /&gt;
&lt;br /&gt;
    # Verifică dacă rădăcina arborelui este corectă&lt;br /&gt;
    if t[0] != 0:&lt;br /&gt;
        return False&lt;br /&gt;
&lt;br /&gt;
    # Verifică dacă fiecare element al vectorului este un index valid&lt;br /&gt;
    for i in range(1, n):&lt;br /&gt;
        if not (0 &amp;lt;= t[i] &amp;lt; n):&lt;br /&gt;
            return False&lt;br /&gt;
&lt;br /&gt;
    return True&lt;br /&gt;
&lt;br /&gt;
# Citeste numarul n&lt;br /&gt;
n = int(input(&amp;quot;Introduceti numarul n: &amp;quot;))&lt;br /&gt;
&lt;br /&gt;
# Ieși din program dacă restricțiile pentru n nu sunt respectate&lt;br /&gt;
if n &amp;lt; 1 or n &amp;gt; 100000:&lt;br /&gt;
    print(&amp;quot;Datele nu corespund restrictiilor impuse&amp;quot;)&lt;br /&gt;
else:&lt;br /&gt;
    # Citeste vectorul t&lt;br /&gt;
    t = list(map(int, input(&amp;quot;Introduceti vectorul t: &amp;quot;).split()))&lt;br /&gt;
&lt;br /&gt;
    # Verifica daca restrictiile sunt respectate si afiseaza mesajul corespunzator&lt;br /&gt;
    if sunt_restrictii_incorecte(n, t):&lt;br /&gt;
        print(&amp;quot;Datele nu corespund restrictiilor impuse&amp;quot;)&lt;br /&gt;
    else:&lt;br /&gt;
        # Verifica daca t este vector de tati si afiseaza rezultatul&lt;br /&gt;
        if este_vector_de_tati(t):&lt;br /&gt;
            print(&amp;quot;DA&amp;quot;)&lt;br /&gt;
        else:&lt;br /&gt;
            print(&amp;quot;NU&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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