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	<id>https://wiki.universitas.ro/index.php?action=history&amp;feed=atom&amp;title=3312_-_Eratostene1</id>
	<title>3312 - Eratostene1 - Revision history</title>
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	<updated>2026-05-01T06:41:57Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://wiki.universitas.ro/index.php?title=3312_-_Eratostene1&amp;diff=1848&amp;oldid=prev</id>
		<title>Csula Beatrice at 20:47, 26 March 2023</title>
		<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=3312_-_Eratostene1&amp;diff=1848&amp;oldid=prev"/>
		<updated>2023-03-26T20:47:16Z</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 20:47, 26 March 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-l20&quot;&gt;Line 20:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 20:&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 sunt corecte.&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 sunt corecte.&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;; eratostene1.out&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;; eratostene1.out&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;: &lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;4&lt;/del&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;: &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;3&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;===Exemplul 2===&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;===Exemplul 2===&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;; eratostene1.in&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;; eratostene1.in&lt;/div&gt;&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-l48&quot;&gt;Line 48:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 48:&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;         divizor = 3&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;         divizor = 3&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;         while divizor * divizor &amp;lt;= numar:&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;         while divizor * divizor &amp;lt;= numar:&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;             if numar % divizor == 0:&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;             if numar % divizor &lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;== 0 or numar%2&lt;/ins&gt;==0:&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;                 break&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;                 break&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;             divizor += 2&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;             divizor += 2&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Csula Beatrice</name></author>
	</entry>
	<entry>
		<id>https://wiki.universitas.ro/index.php?title=3312_-_Eratostene1&amp;diff=1839&amp;oldid=prev</id>
		<title>Csula Beatrice: Pagină nouă: Sursa: [https://www.pbinfo.ro/probleme/3312/eratostene1 - Eratostene1] ---- == Cerinţa == Se dau &#039;&#039;&#039;n&#039;&#039;&#039; numere naturale. Aflaţi câte dintre aceste numere sunt prime. == Date de intrare == Fișierul de intrare &#039;&#039;&#039;eratostene1.in&#039;&#039;&#039; conține pe prima linie numărul &#039;&#039;&#039;n&#039;&#039;&#039;, iar pe a doua linie &#039;&#039;&#039;n&#039;&#039;&#039; numere naturale separate prin spații. == Date de ieșire ==  Dacă datele sunt introduse corect, pe ecran se va afișa:  &quot;Datele sunt corecte.&quot;, iar apoi in fişierul de ieşi...</title>
		<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=3312_-_Eratostene1&amp;diff=1839&amp;oldid=prev"/>
		<updated>2023-03-26T18:42:15Z</updated>

		<summary type="html">&lt;p&gt;Pagină nouă: Sursa: [https://www.pbinfo.ro/probleme/3312/eratostene1 - Eratostene1] ---- == Cerinţa == Se dau &amp;#039;&amp;#039;&amp;#039;n&amp;#039;&amp;#039;&amp;#039; numere naturale. Aflaţi câte dintre aceste numere sunt prime. == Date de intrare == Fișierul de intrare &amp;#039;&amp;#039;&amp;#039;eratostene1.in&amp;#039;&amp;#039;&amp;#039; conține pe prima linie numărul &amp;#039;&amp;#039;&amp;#039;n&amp;#039;&amp;#039;&amp;#039;, iar pe a doua linie &amp;#039;&amp;#039;&amp;#039;n&amp;#039;&amp;#039;&amp;#039; numere naturale separate prin spații. == Date de ieșire ==  Dacă datele sunt introduse corect, pe ecran se va afișa:  &amp;quot;Datele sunt corecte.&amp;quot;, iar apoi in fişierul de ieşi...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Sursa: [https://www.pbinfo.ro/probleme/3312/eratostene1 - Eratostene1]&lt;br /&gt;
----&lt;br /&gt;
== Cerinţa ==&lt;br /&gt;
Se dau &amp;#039;&amp;#039;&amp;#039;n&amp;#039;&amp;#039;&amp;#039; numere naturale. Aflaţi câte dintre aceste numere sunt prime.&lt;br /&gt;
== Date de intrare ==&lt;br /&gt;
Fișierul de intrare &amp;#039;&amp;#039;&amp;#039;eratostene1.in&amp;#039;&amp;#039;&amp;#039; conține pe prima linie numărul &amp;#039;&amp;#039;&amp;#039;n&amp;#039;&amp;#039;&amp;#039;, iar pe a doua linie &amp;#039;&amp;#039;&amp;#039;n&amp;#039;&amp;#039;&amp;#039; numere naturale separate prin spații.&lt;br /&gt;
== Date de ieșire == &lt;br /&gt;
Dacă datele sunt introduse corect, pe ecran se va afișa: &lt;br /&gt;
&amp;quot;Datele sunt corecte.&amp;quot;, iar apoi in fişierul de ieşire &amp;#039;&amp;#039;&amp;#039;eratostene1.out&amp;#039;&amp;#039;&amp;#039; va conţine pe prima linie numărul &amp;#039;&amp;#039;&amp;#039;nr_prime&amp;#039;&amp;#039;&amp;#039;, numărul numerelor prime aflate în fişierul de intrare. În caz contrar, se va afișa pe ecran: &amp;quot;Datele nu sunt comform restricțiilor impuse.&amp;quot;.&lt;br /&gt;
&lt;br /&gt;
== Restricţii şi precizări ==&lt;br /&gt;
* 1 ≤ &amp;#039;&amp;#039;&amp;#039;n&amp;#039;&amp;#039;&amp;#039; ≤ 500.000&lt;br /&gt;
* numerele de pe a doua linie a fișierului de intrare vor fi mai mici decât &amp;#039;&amp;#039;&amp;#039;1.000.000&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
== Exemple ==&lt;br /&gt;
===Exemplul 1===&lt;br /&gt;
; eratostene1.in&lt;br /&gt;
: 6&lt;br /&gt;
: 12 18 19 25 29 7&lt;br /&gt;
; Ieșire&lt;br /&gt;
: Datele sunt corecte.&lt;br /&gt;
; eratostene1.out&lt;br /&gt;
: 4&lt;br /&gt;
===Exemplul 2===&lt;br /&gt;
; eratostene1.in&lt;br /&gt;
: 3&lt;br /&gt;
: 100 102 104&lt;br /&gt;
; Ieșire&lt;br /&gt;
: Datele sunt corecte.&lt;br /&gt;
; eratostene1.out&lt;br /&gt;
: 0&lt;br /&gt;
===Exemplul 3===&lt;br /&gt;
; eratostene1.in&lt;br /&gt;
: 3&lt;br /&gt;
: 191824719471 19991 19724174&lt;br /&gt;
; Ieșire&lt;br /&gt;
: Datele nu sunt comform restricțiilor impuse.&lt;br /&gt;
&amp;lt;br&amp;gt;&lt;br /&gt;
== Rezolvare == &lt;br /&gt;
&amp;lt;syntaxhighlight lang=&amp;quot;python&amp;quot; line&amp;gt;&lt;br /&gt;
#3312 Eratostene1&lt;br /&gt;
&lt;br /&gt;
def eratostene(vector, n):&lt;br /&gt;
    nr_prime = 0&lt;br /&gt;
    for i in range(n):&lt;br /&gt;
        numar = vector[i]&lt;br /&gt;
        if numar == 2:&lt;br /&gt;
            nr_prime += 1&lt;br /&gt;
        divizor = 3&lt;br /&gt;
        while divizor * divizor &amp;lt;= numar:&lt;br /&gt;
            if numar % divizor == 0:&lt;br /&gt;
                break&lt;br /&gt;
            divizor += 2&lt;br /&gt;
        if divizor ** 2 &amp;gt; numar:&lt;br /&gt;
            nr_prime += 1&lt;br /&gt;
    f = open(&amp;quot;eratostene1.out&amp;quot;, &amp;quot;w&amp;quot;)&lt;br /&gt;
    f.write(str(nr_prime))&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
def conform_restrictiilor():&lt;br /&gt;
    vector = list()&lt;br /&gt;
    with open(&amp;#039;eratostene1.in&amp;#039;) as f:&lt;br /&gt;
        lines = f.readlines()&lt;br /&gt;
        for line in lines:&lt;br /&gt;
            for c in line.split():&lt;br /&gt;
                if c.isdigit() == True:&lt;br /&gt;
                    vector.append(int(c))&lt;br /&gt;
    n = vector[0]&lt;br /&gt;
    vector = vector[1:]&lt;br /&gt;
    if n &amp;gt; 500000 and n &amp;lt; 1:&lt;br /&gt;
        print(&amp;quot;Datele nu sunt comform restricțiilor impuse.&amp;quot;)&lt;br /&gt;
        exit()&lt;br /&gt;
    for x in vector:&lt;br /&gt;
        if x &amp;lt; 0 or x &amp;gt; 1000000:&lt;br /&gt;
            print(&amp;quot;Datele nu sunt comform restricțiilor impuse.&amp;quot;)&lt;br /&gt;
            exit()&lt;br /&gt;
    print(&amp;quot;Datele sunt corecte.&amp;quot;)&lt;br /&gt;
    return vector, n&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
if __name__ == &amp;#039;__main__&amp;#039;:&lt;br /&gt;
    vector, n = conform_restrictiilor()&lt;br /&gt;
    eratostene(vector, n)&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/syntaxhighlight&amp;gt;&lt;/div&gt;</summary>
		<author><name>Csula Beatrice</name></author>
	</entry>
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