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	<id>https://wiki.universitas.ro/index.php?action=history&amp;feed=atom&amp;title=1237_-_Numereiajb</id>
	<title>1237 - Numereiajb - Revision history</title>
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	<updated>2026-05-01T03:39:50Z</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=1237_-_Numereiajb&amp;diff=9670&amp;oldid=prev</id>
		<title>Aurelia Raluca at 07:20, 23 February 2024</title>
		<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=1237_-_Numereiajb&amp;diff=9670&amp;oldid=prev"/>
		<updated>2024-02-23T07:20:01Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;//wiki.universitas.ro/index.php?title=1237_-_Numereiajb&amp;amp;diff=9670&amp;amp;oldid=9066&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Aurelia Raluca</name></author>
	</entry>
	<entry>
		<id>https://wiki.universitas.ro/index.php?title=1237_-_Numereiajb&amp;diff=9066&amp;oldid=prev</id>
		<title>Aurelia Raluca: /* Rezolvare */</title>
		<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=1237_-_Numereiajb&amp;diff=9066&amp;oldid=prev"/>
		<updated>2024-01-05T09:27:15Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Rezolvare&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 09:27, 5 January 2024&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-l63&quot;&gt;Line 63:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 63:&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;     return rezultate[:n]&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;     return rezultate[:n]&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; 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;# Exemplu de utilizare&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;a = 2&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;b = 3&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;n = 5&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&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;rezultate = generare_numere_iajb(a, b, n)&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;rezultate = generare_numere_iajb(a, b, n)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Aurelia Raluca</name></author>
	</entry>
	<entry>
		<id>https://wiki.universitas.ro/index.php?title=1237_-_Numereiajb&amp;diff=9064&amp;oldid=prev</id>
		<title>Aurelia Raluca: Pagină nouă: == Cerinta ==  Numerele iajb sunt numerele care pot fi scrise sub forma i * a + j * b, cu i și j numere naturale și i + j &gt; 0.  Cunoscând a și b și un număr n, să se determine valorile i și j pentru care se vor forma primele n numere iajb in ordine crescătoare.  == Date de intrare ==   Fișierul de intrare numereiajb.in conține pe prima linie numărul 3 numere naturale a, b și n, având semnificațiile de mai sus.  == Date de iesire ==  Fișierul de ieșire numerei...</title>
		<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=1237_-_Numereiajb&amp;diff=9064&amp;oldid=prev"/>
		<updated>2024-01-05T09:00:32Z</updated>

		<summary type="html">&lt;p&gt;Pagină nouă: == Cerinta ==  Numerele iajb sunt numerele care pot fi scrise sub forma i * a + j * b, cu i și j numere naturale și i + j &amp;gt; 0.  Cunoscând a și b și un număr n, să se determine valorile i și j pentru care se vor forma primele n numere iajb in ordine crescătoare.  == Date de intrare ==   Fișierul de intrare numereiajb.in conține pe prima linie numărul 3 numere naturale a, b și n, având semnificațiile de mai sus.  == Date de iesire ==  Fișierul de ieșire numerei...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Cerinta ==&lt;br /&gt;
&lt;br /&gt;
Numerele iajb sunt numerele care pot fi scrise sub forma i * a + j * b, cu i și j numere naturale și i + j &amp;gt; 0.&lt;br /&gt;
&lt;br /&gt;
Cunoscând a și b și un număr n, să se determine valorile i și j pentru care se vor forma primele n numere iajb in ordine crescătoare.&lt;br /&gt;
&lt;br /&gt;
== Date de intrare == &lt;br /&gt;
&lt;br /&gt;
Fișierul de intrare numereiajb.in conține pe prima linie numărul 3 numere naturale a, b și n, având semnificațiile de mai sus.&lt;br /&gt;
&lt;br /&gt;
== Date de iesire ==&lt;br /&gt;
&lt;br /&gt;
Fișierul de ieșire numereiajb.out va conține pe cele n linii câte o pereche de numere naturale i și j care răspund cerinței.&lt;br /&gt;
&lt;br /&gt;
== Restricții și precizări ==&lt;br /&gt;
&lt;br /&gt;
*1 ≤ n ≤ 2.000.000 (!)&lt;br /&gt;
*1 ≤ a, b ≤ 50.000&lt;br /&gt;
*Dacă un număr iajb se obține din perechi diferite de (i, j) atunci se va afișa doar cea cu i-ul minim&lt;br /&gt;
&lt;br /&gt;
== Exemplul 1 == &lt;br /&gt;
&lt;br /&gt;
;numereiajbin.txt&lt;br /&gt;
&lt;br /&gt;
:2 3 5&lt;br /&gt;
&lt;br /&gt;
;numereiajbout.txt&lt;br /&gt;
&lt;br /&gt;
:Datele introduse corespund restrictiilor impuse.&lt;br /&gt;
&lt;br /&gt;
:1 0&lt;br /&gt;
&lt;br /&gt;
:0 1&lt;br /&gt;
&lt;br /&gt;
:2 0&lt;br /&gt;
&lt;br /&gt;
:1 1&lt;br /&gt;
&lt;br /&gt;
:0 2&lt;br /&gt;
&lt;br /&gt;
== Exemplul 2 ==&lt;br /&gt;
&lt;br /&gt;
;numereiajbin.txt&lt;br /&gt;
&lt;br /&gt;
: -1 2 0&lt;br /&gt;
&lt;br /&gt;
;numereiajbout.txt&lt;br /&gt;
&lt;br /&gt;
:Datele introduse nu corespund restrictiilor impuse.&lt;br /&gt;
&lt;br /&gt;
== Rezolvare ==&lt;br /&gt;
&lt;br /&gt;
&amp;lt;syntaxhighlight lang=&amp;quot;python3&amp;quot; line=&amp;quot;1&amp;quot;&amp;gt;&lt;br /&gt;
&lt;br /&gt;
def generare_numere_iajb(a, b, n):&lt;br /&gt;
    rezultate = []&lt;br /&gt;
    for i in range(1, n+1):&lt;br /&gt;
        for j in range(1, i+1):&lt;br /&gt;
            numar = i * a + j * b&lt;br /&gt;
            rezultate.append((numar, i, j))&lt;br /&gt;
&lt;br /&gt;
    rezultate.sort()&lt;br /&gt;
    return rezultate[:n]&lt;br /&gt;
&lt;br /&gt;
# Exemplu de utilizare&lt;br /&gt;
a = 2&lt;br /&gt;
b = 3&lt;br /&gt;
n = 5&lt;br /&gt;
&lt;br /&gt;
rezultate = generare_numere_iajb(a, b, n)&lt;br /&gt;
print(f&amp;quot;Primele {n} numere iajb pentru a={a} și b={b}: {rezultate}&amp;quot;)&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/syntaxhighlight&amp;gt;&lt;/div&gt;</summary>
		<author><name>Aurelia Raluca</name></author>
	</entry>
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