vahagn/test
1
0
Fork 0
Code Issues Pull Requests Releases Wiki Activity

Move Project Euler under puzzles.

Browse Source
This commit is contained in:
Vahagn Khachatryan
2015-02-08 23:11:37 +04:00
parent 1089dd825f
commit e2841a251e
872 changed files with 0 additions and 0 deletions
Download Patch File Download Diff File Expand all files Collapse all files

74
puzzles/project_euler/pe/p141.html Normal file
View File

@@ -0,0 +1,74 @@
<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8" />
<meta name="author" content="Colin Hughes" />
<meta name="description" content="A website dedicated to the fascinating world of mathematics and programming" />
<meta name="keywords" content="programming,mathematics,problems,puzzles" />
<title>Problem 141 - Project Euler</title>
<link rel="shortcut icon" href="http://projecteuler.net/favicon.ico" />
<link rel="stylesheet" type="text/css" href="style_main.css" />
<link rel="stylesheet" type="text/css" href="style_light.css" />
<script type="text/x-mathjax-config">
MathJax.Hub.Config({
jax: ["input/TeX", "output/HTML-CSS"],
tex2jax: {
inlineMath: [ ["$","$"], ["\\(","\\)"] ],
displayMath: [ ["$$","$$"], ["\\[","\\]"] ],
processEscapes: true
},
"HTML-CSS": { availableFonts: ["TeX"] }
});
</script>
<script type="text/javascript" src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_HTML">
</script>
</head>
<body>
<div id="container">
<div id="nav" class="noprint">
<ul>
<li><a href="about" title="About" accesskey="h">About</a></li>
<li><a href="register" title="Register" accesskey="1">Register</a></li>
<li id="current"><a href="problems" title="Problems" accesskey="2">Problems</a></li>
<li><a href="login" title="Login" accesskey="3">Login</a></li>
</ul>
</div>
<div id="info_panel"><a href="rss2_euler.xml"><img src="images/icon_rss.png" alt="RSS Feed" title="RSS Feed" /></a><a href="secure=87d2c"><img src="images/icon_lock.png" alt="Use secure connection" title="Use secure connection" /></a></div>
<div id="logo" class="noprint">
<img src="images/pe_banner_light.png" alt="Project Euler .net" />
</div>
<div id="content">
<div style="text-align:center;" class="print"><img src="images/pe_banner.png" alt="projecteuler.net" style="border:none;" /></div>
<h2>Investigating progressive numbers, <i>n</i>, which are also square.</h2><div class="info" style="cursor:help;width:200px;margin-bottom:10px;"><h3>Problem 141</h3><span style="width:300px;color:#666;">Published on Saturday, 17th February 2007, 05:00 am; Solved by 1749</span></div>
<div class="problem_content" role="problem">
<p>A positive integer, <i>n</i>, is divided by <i>d</i> and the quotient and remainder are <i>q</i> and <i>r</i> respectively. In addition <i>d</i>, <i>q</i>, and <i>r</i> are consecutive positive integer terms in a geometric sequence, but not necessarily in that order.</p>
<p>For example, 58 divided by 6 has quotient 9 and remainder 4. It can also be seen that 4, 6, 9 are consecutive terms in a geometric sequence (common ratio 3/2).<br />
We will call such numbers, <i>n</i>, progressive.</p>
<p>Some progressive numbers, such as 9 and 10404 = 102<sup>2</sup>, happen to also be perfect squares.<br /> The sum of all progressive perfect squares below one hundred thousand is 124657.</p>
<p>Find the sum of all progressive perfect squares below one trillion (10<sup>12</sup>).</p>
</div><br />
<br /></div>
<div id="footer" class="noprint">
<a href="copyright">Project Euler Copyright Information</a>
<!--/Creative Commons License--><!-- <rdf:RDF xmlns="http://web.resource.org/cc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:rdfs="http://www.w3.org/2000/01/rdf-schema#">
<Work rdf:about="">
<license rdf:resource="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/" />
<dc:type rdf:resource="http://purl.org/dc/dcmitype/Text" />
</Work>
<License rdf:about="http://creativecommons.org/licenses/by-nc-sa/2.0/uk/"><permits rdf:resource="http://web.resource.org/cc/Reproduction"/><permits rdf:resource="http://web.resource.org/cc/Distribution"/><requires rdf:resource="http://web.resource.org/cc/Notice"/><requires rdf:resource="http://web.resource.org/cc/Attribution"/><prohibits rdf:resource="http://web.resource.org/cc/CommercialUse"/><permits rdf:resource="http://web.resource.org/cc/DerivativeWorks"/><requires rdf:resource="http://web.resource.org/cc/ShareAlike"/></License></rdf:RDF> -->
</div>
</div>
<div style="height:1px;">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; </div></body>
</html>