Project Euler 1

Developer
Yoann Nouveau
Size
2,353 Kb
Views
28,336
  1. Project Euler 1 Previews
  2. Project Euler 1 HTML Codes
  3. Project Euler 1 CSS Codes
  4. Project Euler 1 JS Codes

How do I make an project euler 1?

Since I did this by hand, I'm just writting it down (for consistency's sake, so that all my answers are here). What is a project euler 1? How do you make a project euler 1? This script and codes were developed by Yoann Nouveau on 08 September 2022, Thursday.

Project Euler 1 Previews
IQ Test

Project Euler 1 - Script Codes HTML Codes

<!DOCTYPE html>
<html >
<head> <meta charset="UTF-8"> <title>Project Euler 1</title> <link rel="stylesheet" href="css/style.css">
</head>
<body> <h1>Project Euler Q1</h1>
<p> Since I did this by hand, I'm just writting it down (for consistency's sake, so that all my answers are here)
</p>
<h2>The problem:</h2>
<p> Find the sum of all multiple of 3 or 5 between 0 and 1000.
</p>
<h3>Step #1</h3>
<p>Translating the question</p>
<p> Σ(%3 &amp;&amp; %5)[0->1000] = Σ(%3)[0->1000] + Σ(%5)[0->1000] - Σ(%3 &amp;&amp; %5)[0->1000]
</p>
<h3>Step #2</h3>
<p>Finding the sum of all multiples of 3 between 0 and 1000</p>
<p> Σ(%3)[0->1000] = 3x1 + 3x2 + 3x3 ... 3x333 <br/><span class="comment"> // 333*3=999, the largest multiple of 3 between 0 and 1000</span> <ul> <li>= 3x(1+2+3...+333)</li> <li>= 3x(333/2(333+1))</li> <li>= 3x 55611</li> <li>= 166833</li> </ul>
</p>
<h3>Step #3</h3>
<p>Finding the sum of all multiples of 5 between 0 and 1000</p>
<p> Σ(%5)[0->1000] = 5x1 + 5x2 + 5x3 ... 5x199 <span class="comment"> // 199*5=995, 1000 is excluded</span> <ul> <li>= 5x(1+2+3...+199)</li> <li>= 5x(199/2(199+1))</li> <li>= 5x 19900</li> <li>= 99500</li> </ul>
</p>
<h3>Step #4</h3>
<p>Finding the sum of all multiples of 3 and 5 between 0 and 1000</p>
<p> Σ(%3 &amp;&amp; %5)[0->1000] = 3x5x1 + 3x5x2 + 3x5x3 ... 3x5x66 <span class="comment"> // 3*5*66=990</span> <ul> <li>= 3x5x(1+2+3...+66)</li> <li>= 3x5x(66/2(66+1))</li> <li>= 3x5x 2211</li> <li>= 33165</li> </ul>
</p>
<h3>Final Step</h3>
<p>Solving the equation:</p>
<p> Σ(%3||%5)[0->1000] = Σ(%3)[0->1000] + Σ(%5)[0->1000] - Σ(%3 &amp;&amp; %5)[0->1000] <ul> <li>= 166833 + 99500 - 33165</li> <li>= 233168</li> </ul>
</p>
<h3>TL;DR</h3>
<pre>
function multipleOf(num){ var n = Math.floor(999/num); return = num*(n/2*(n+1));
}
var answer = multipleOf(3) + multipleOf(5) - multipleOf(3*5);
</pre> <script src="js/index.js"></script>
</body>
</html>

Project Euler 1 - Script Codes CSS Codes

li{ list-style:none;
}
.comment{ position:relative; left:50px; opacity:0.5;
}

Project Euler 1 - Script Codes JS Codes

function multipleOf(num){ var n = Math.floor(999/num); return num*(n/2*(n+1));
}
var answer = multipleOf(3) + multipleOf(5) - multipleOf(3*5);
console.log(answer);
Project Euler 1 - Script Codes
Project Euler 1 - Script Codes
Home Page Home
Developer Yoann Nouveau
Username YoannN2
Uploaded September 08, 2022
Rating 3
Size 2,353 Kb
Views 28,336
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