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puzzles/project_euler/pe/p067.html
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puzzles/project_euler/pe/p067.html
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<!DOCTYPE html>
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<html lang="en">
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<head>
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<meta charset="utf-8" />
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<meta name="author" content="Colin Hughes" />
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<meta name="description" content="A website dedicated to the fascinating world of mathematics and programming" />
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<meta name="keywords" content="programming,mathematics,problems,puzzles" />
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<title>Problem 67 - Project Euler</title>
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<h2>Maximum path sum II</h2><div class="info" style="cursor:help;width:200px;margin-bottom:10px;"><h3>Problem 67</h3><span style="width:300px;color:#666;">Published on Friday, 9th April 2004, 06:00 pm; Solved by 46215</span></div>
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<div class="problem_content" role="problem">
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<p>By starting at the top of the triangle below and moving to adjacent numbers on the row below, the maximum total from top to bottom is 23.</p>
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<p style="text-align:center;font-family:courier new;font-size:12pt;"><span style="color:#ff0000;"><b>3</b></span><br />
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<span style="color:#ff0000;"><b>7</b></span> 4<br />
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2 <span style="color:#ff0000;"><b>4</b></span> 6<br />
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8 5 <span style="color:#ff0000;"><b>9</b></span> 3</p>
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<p>That is, 3 + 7 + 4 + 9 = 23.</p>
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<p>Find the maximum total from top to bottom in <a href="project/triangle.txt">triangle.txt</a> (right click and 'Save Link/Target As...'), a 15K text file containing a triangle with one-hundred rows.</p>
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<p class="info"><b>NOTE:</b> This is a much more difficult version of <a href="index.php?section=problems&id=18">Problem 18</a>. It is not possible to try every route to solve this problem, as there are 2<sup>99</sup> altogether! If you could check one trillion (10<sup>12</sup>) routes every second it would take over twenty billion years to check them all. There is an efficient algorithm to solve it. ;o)</p>
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