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	<id>https://wiki.universitas.ro/index.php?action=history&amp;feed=atom&amp;title=1925_-_Numar_9</id>
	<title>1925 - Numar 9 - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://wiki.universitas.ro/index.php?action=history&amp;feed=atom&amp;title=1925_-_Numar_9"/>
	<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=1925_-_Numar_9&amp;action=history"/>
	<updated>2026-05-01T07:31:55Z</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=1925_-_Numar_9&amp;diff=6711&amp;oldid=prev</id>
		<title>Pop Giulia at 12:54, 20 May 2023</title>
		<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=1925_-_Numar_9&amp;diff=6711&amp;oldid=prev"/>
		<updated>2023-05-20T12:54:05Z</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 12:54, 20 May 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-l1&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;Sursa: [https://www.pbinfo.ro/probleme/1925/numar9]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&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;==Cerința==&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;==Cerința==&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;Se dau două numere naturale S şi K. Să se afle cel mai mic număr natural A care are suma cifrelor egală cu S, precum şi restul împărţirii lui A la K.&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;Se dau două numere naturale S şi K. Să se afle cel mai mic număr natural A care are suma cifrelor egală cu S, precum şi restul împărţirii lui A la K.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Pop Giulia</name></author>
	</entry>
	<entry>
		<id>https://wiki.universitas.ro/index.php?title=1925_-_Numar_9&amp;diff=5619&amp;oldid=prev</id>
		<title>Pop Giulia: /* Solutie */</title>
		<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=1925_-_Numar_9&amp;diff=5619&amp;oldid=prev"/>
		<updated>2023-04-30T10:26:56Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Solutie&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 10:26, 30 April 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-l24&quot;&gt;Line 24:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 24:&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;Cel mai mic număr natural care are suma cifrelor egală cu 25 este 799. Restul împărţirii lui 799 la 13 este 6.&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;Cel mai mic număr natural care are suma cifrelor egală cu 25 este 799. Restul împărţirii lui 799 la 13 este 6.&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;==Solutie==&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;==Solutie==&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&amp;lt;syntaxhighlight lang=&quot;python&quot; line&amp;gt;&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;# Citim valorile S și K din fișierul de intrare&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;# Citim valorile S și K din fișierul de intrare&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;with open(&amp;quot;numar9.in&amp;quot;) as f:&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;with open(&amp;quot;numar9.in&amp;quot;) as f:&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-l42&quot;&gt;Line 42:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 43:&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;     f.write(str(A) + &amp;quot;\n&amp;quot;)&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;     f.write(str(A) + &amp;quot;\n&amp;quot;)&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;     f.write(str(A % K) + &amp;quot;\n&amp;quot;)&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;     f.write(str(A % K) + &amp;quot;\n&amp;quot;)&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&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;&amp;lt;/syntaxhighlight&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Pop Giulia</name></author>
	</entry>
	<entry>
		<id>https://wiki.universitas.ro/index.php?title=1925_-_Numar_9&amp;diff=5034&amp;oldid=prev</id>
		<title>Pop Giulia: Pagină nouă: ==Cerința== Se dau două numere naturale S şi K. Să se afle cel mai mic număr natural A care are suma cifrelor egală cu S, precum şi restul împărţirii lui A la K.  ==Date de intrare== Fișierul de intrare numar9.in conține pe prima linie numerele naturale S şi K.  ==Date de ieșire== Fișierul de ieșire numar9.out va conține pe prima linie numărul A, iar pe a doua linie restul împărţirii lui A la K.  ==Restricții și precizări== 1 ≤ S ≤ 20.000.000 1 ≤...</title>
		<link rel="alternate" type="text/html" href="https://wiki.universitas.ro/index.php?title=1925_-_Numar_9&amp;diff=5034&amp;oldid=prev"/>
		<updated>2023-04-27T18:07:33Z</updated>

		<summary type="html">&lt;p&gt;Pagină nouă: ==Cerința== Se dau două numere naturale S şi K. Să se afle cel mai mic număr natural A care are suma cifrelor egală cu S, precum şi restul împărţirii lui A la K.  ==Date de intrare== Fișierul de intrare numar9.in conține pe prima linie numerele naturale S şi K.  ==Date de ieșire== Fișierul de ieșire numar9.out va conține pe prima linie numărul A, iar pe a doua linie restul împărţirii lui A la K.  ==Restricții și precizări== 1 ≤ S ≤ 20.000.000 1 ≤...&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 dau două numere naturale S şi K. Să se afle cel mai mic număr natural A care are suma cifrelor egală cu S, precum şi restul împărţirii lui A la K.&lt;br /&gt;
&lt;br /&gt;
==Date de intrare==&lt;br /&gt;
Fișierul de intrare numar9.in conține pe prima linie numerele naturale S şi K.&lt;br /&gt;
&lt;br /&gt;
==Date de ieșire==&lt;br /&gt;
Fișierul de ieșire numar9.out va conține pe prima linie numărul A, iar pe a doua linie restul împărţirii lui A la K.&lt;br /&gt;
&lt;br /&gt;
==Restricții și precizări==&lt;br /&gt;
1 ≤ S ≤ 20.000.000&lt;br /&gt;
1 ≤ K ≤ 1.000.000&lt;br /&gt;
Pentru prima cerinţă se acordă 60p, iar pentru a doua 40p&lt;br /&gt;
Pentru a primi punctajul pentru a doua cerinţă, în fişierul numar9.out trebuie să afişaţi două numere&lt;br /&gt;
==Exemplu:==&lt;br /&gt;
numar9.in&lt;br /&gt;
&lt;br /&gt;
25 13&lt;br /&gt;
numar9.out&lt;br /&gt;
&lt;br /&gt;
799&lt;br /&gt;
6&lt;br /&gt;
==Explicație==&lt;br /&gt;
Cel mai mic număr natural care are suma cifrelor egală cu 25 este 799. Restul împărţirii lui 799 la 13 este 6.&lt;br /&gt;
==Solutie==&lt;br /&gt;
# Citim valorile S și K din fișierul de intrare&lt;br /&gt;
with open(&amp;quot;numar9.in&amp;quot;) as f:&lt;br /&gt;
    S, K = map(int, f.readline().split())&lt;br /&gt;
&lt;br /&gt;
# Inițializăm A cu 0&lt;br /&gt;
A = 0&lt;br /&gt;
&lt;br /&gt;
# Parcurgem cifrele de la dreapta la stânga&lt;br /&gt;
while S &amp;gt; 0:&lt;br /&gt;
    # Adunăm cifra curentă la A&lt;br /&gt;
    cifra = min(S, 9) # putem aduna maxim 9 la A&lt;br /&gt;
    A = A * 10 + cifra&lt;br /&gt;
    S -= cifra&lt;br /&gt;
&lt;br /&gt;
# Găsim restul împărțirii lui A la K și afișăm rezultatele în fișierul de ieșire&lt;br /&gt;
with open(&amp;quot;numar9.out&amp;quot;, &amp;quot;w&amp;quot;) as f:&lt;br /&gt;
    f.write(str(A) + &amp;quot;\n&amp;quot;)&lt;br /&gt;
    f.write(str(A % K) + &amp;quot;\n&amp;quot;)&lt;/div&gt;</summary>
		<author><name>Pop Giulia</name></author>
	</entry>
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