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	<updated>2026-05-20T23:50:34Z</updated>
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		<title>Lukegao: by freem.ai...</title>
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		<updated>2025-12-28T05:41:29Z</updated>

		<summary type="html">&lt;p&gt;by freem.ai...&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
{{DISPLAYTITLE:4-digit codes sum 17}}&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;This conversation was exported from ChatGPT&amp;#039;&amp;#039;&amp;lt;ref&amp;gt;{{cite web|title=4-digit codes sum 17|url=https://chatgpt.com/share/69508c1f-2064-8012-8f0a-41df99edf034|publisher=ChatGPT|access-date=2025-12-28}}&amp;lt;/ref&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== gpt-5-2-thinking ==&lt;br /&gt;
=== User: Give me all 4-digit codes such that the sum of the digits is 17 and at least one digit appears twice. ===&lt;br /&gt;
Give me all 4-digit codes such that the sum of the digits is 17 and at least one digit appears twice. Use Python to generate and validate.&lt;br /&gt;
&lt;br /&gt;
=== Assistant:  ===&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
=== Assistant: python ===&lt;br /&gt;
&amp;lt;syntaxhighlight lang=&amp;quot;python&amp;quot;&amp;gt;codes = []&lt;br /&gt;
for n in range(10000):&lt;br /&gt;
    s = f&amp;quot;{n:04d}&amp;quot;                 # includes leading zeros&lt;br /&gt;
    digits = [int(ch) for ch in s]&lt;br /&gt;
    if sum(digits) == 17 and len(set(digits)) &amp;lt; 4:   # at least one repeated digit&lt;br /&gt;
        codes.append(s)&lt;br /&gt;
&lt;br /&gt;
=== validate ===&lt;br /&gt;
assert all(sum(int(ch) for ch in c) == 17 for c in codes)&lt;br /&gt;
assert all(len(set(c)) &amp;lt; 4 for c in codes)&lt;br /&gt;
&lt;br /&gt;
print(len(codes))&lt;br /&gt;
print(&amp;quot;\n&amp;quot;.join(codes))&lt;br /&gt;
&lt;br /&gt;
&amp;lt;/syntaxhighlight&amp;gt;&lt;br /&gt;
&lt;br /&gt;
Output (276 codes):&lt;br /&gt;
&lt;br /&gt;
&amp;lt;syntaxhighlight&amp;gt;0089&lt;br /&gt;
0098&lt;br /&gt;
0188&lt;br /&gt;
0377&lt;br /&gt;
0449&lt;br /&gt;
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&lt;br /&gt;
&amp;lt;/syntaxhighlight&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
&amp;lt;references /&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:ChatGPT Shares]]&lt;br /&gt;
[[Category:openai]]&lt;/div&gt;</summary>
		<author><name>Lukegao</name></author>
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