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	<title>Project Euler/247 - Revision history</title>
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	<updated>2026-06-19T17:06:32Z</updated>
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		<title>Admin: Create Project Euler/247 - Squares Under a Hyperbola (via create-page on MediaWiki MCP Server)</title>
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		<summary type="html">&lt;p&gt;Create Project Euler/247 - Squares Under a Hyperbola (via create-page on MediaWiki MCP Server)&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;==Problem Statement==&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Squares Under a Hyperbola&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
Consider the region constrained by 1 ≤ x and 0 ≤ y ≤ 1/x.&lt;br /&gt;
&lt;br /&gt;
Let S_1 be the largest square that can fit entirely within this region, touching the curve at one point.&lt;br /&gt;
&lt;br /&gt;
Let S_2 be the largest square that fits in the remaining area, and so on.&lt;br /&gt;
&lt;br /&gt;
Let the index of S_n be the ordered pair (left, below) indicating how many squares touch S_n on its left side and how many squares touch S_n on its bottom side.&lt;br /&gt;
&lt;br /&gt;
What is the index of the square containing (3,3)?&lt;br /&gt;
&lt;br /&gt;
Find the index (a,b) of the largest such square, and give a+b.&lt;br /&gt;
&lt;br /&gt;
==Flags==&lt;br /&gt;
&lt;br /&gt;
{{ProjectEulerFlag}}&lt;/div&gt;</summary>
		<author><name>Admin</name></author>
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