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📄 complexity.html

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<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"><html>  <head>    <meta name="generator" content="HTML Tidy for Linux/x86 (vers 1st October 2002), see www.w3.org">    <title>Complexity</title>  </head>  <body bgcolor="#ffffff">    <table width="100%" bgcolor="#eeeeff">      <tr>        <td><a href="index.html">cppreference.com</a> -&gt; Complexity</td>      </tr>    </table>    <h3>Complexity</h3>    <p>There are different measurements of the speed of any given algorithm. Given an input size of    <strong>N</strong>, they can be described as follows:</p>    <table>      <tr>        <th>Name</th>        <th>Speed</th>        <th>Description</th>      </tr>      <tr>        <td>        </td>      </tr>      <tr bgcolor="#eeeeff">        <td>exponential time</td>        <td>slow</td>        <td>takes an amount of time proportional to a constant raised to the <strong>N</strong>th power        (K^<strong>N</strong>)</td>      </tr>      <tr>        <td>        </td>      </tr>      <tr>        <td>polynomial time</td>        <td>fast</td>        <td>takes an amount of time proportional to <strong>N</strong> raised to some constant power        (<strong>N</strong>^K)</td>      </tr>      <tr>        <td>        </td>      </tr>      <tr bgcolor="#eeeeff">        <td>linear time</td>        <td>faster</td>        <td>takes an amount of time directly proportional to <strong>N</strong> (K * <strong>N</strong>)</td>      </tr>      <tr>        <td>        </td>      </tr>      <tr>        <td>logarithmic time</td>        <td>much faster</td>        <td>takes an amount of time proportional to the logarithm of <strong>N</strong>        (log(<strong>N</strong>))</td>      </tr>      <tr>        <td>        </td>      </tr>      <tr bgcolor="#eeeeff">        <td>constant time</td>        <td>fastest</td>        <td>takes a fixed amount of time, no matter how large the input is (K)</td>      </tr>    </table>  </body></html>

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