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d6/d10/cut__rod_8cpp.html
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@@ -135,7 +135,7 @@ Functions</h2></td></tr>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >Implementation of cutting a rod problem. </p>
<p >Given a rod of length n inches and an array of prices that contains prices of all pieces of size&lt;=n. Determine the maximum profit obtainable by cutting up the rod and selling the pieces.</p>
<h3><a class="anchor" id="autotoc_md70"></a>
<h3><a class="anchor" id="autotoc_md69"></a>
Algorithm</h3>
<p >The idea is to break the given rod into every smaller piece as possible and then check profit for each piece, by calculating maximum profit for smaller pieces we will build the solution for larger pieces in bottom-up manner.</p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Anmol3299" target="_blank">Anmol</a> </dd>

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<div class="headertitle"><div class="title">modular_inverse_simple.cpp File Reference</div></div>
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<p>Simple implementation of <a href="https://en.wikipedia.org/wiki/Modular_multiplicative_inverse" target="_blank">modular multiplicative inverse</a>
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
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Functions</h2></td></tr>
<tr class="memitem:a618b198f74a88ab0023355b3a05d9ad6"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d2d/modular__inverse__simple_8cpp.html#a618b198f74a88ab0023355b3a05d9ad6">imod</a> (uint64_t x, uint64_t y)</td></tr>
<tr class="memdesc:a618b198f74a88ab0023355b3a05d9ad6"><td class="mdescLeft">&#160;</td><td class="mdescRight">for IO operations <a href="../../d6/d2d/modular__inverse__simple_8cpp.html#a618b198f74a88ab0023355b3a05d9ad6">More...</a><br /></td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d2d/modular__inverse__simple_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d2d/modular__inverse__simple_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../d6/d2d/modular__inverse__simple_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">More...</a><br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >Simple implementation of <a href="https://en.wikipedia.org/wiki/Modular_multiplicative_inverse" target="_blank">modular multiplicative inverse</a> </p>
<p >this algorithm calculates the modular inverse x^{-1} \mod y iteratively </p>
</div><h2 class="groupheader">Function Documentation</h2>
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<p>for IO operations </p>
<p >for assert</p>
<p >Function imod Calculates the modular inverse of x with respect to y, x^{-1} \mod y </p><dl class="params"><dt>Parameters</dt><dd>
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<dl class="section return"><dt>Returns</dt><dd>the modular inverse </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 20</span> {</div>
<div class="line"><span class="lineno"> 21</span> uint64_t aux = 0; <span class="comment">// auxiliary variable</span></div>
<div class="line"><span class="lineno"> 22</span> uint64_t itr = 0; <span class="comment">// iteration counter</span></div>
<div class="line"><span class="lineno"> 23</span> </div>
<div class="line"><span class="lineno"> 24</span> <span class="keywordflow">do</span> { <span class="comment">// run the algorithm while not find the inverse</span></div>
<div class="line"><span class="lineno"> 25</span> aux = y * itr + 1;</div>
<div class="line"><span class="lineno"> 26</span> itr++;</div>
<div class="line"><span class="lineno"> 27</span> } <span class="keywordflow">while</span> (aux % x); <span class="comment">// while module aux % x non-zero</span></div>
<div class="line"><span class="lineno"> 28</span> </div>
<div class="line"><span class="lineno"> 29</span> <span class="keywordflow">return</span> aux / x;</div>
<div class="line"><span class="lineno"> 30</span>}</div>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 58</span> {</div>
<div class="line"><span class="lineno"> 59</span> <a class="code hl_function" href="../../d6/d2d/modular__inverse__simple_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
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<p>self-test implementations </p>
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<div class="line"><span class="lineno"> 37</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;First case testing... \n&quot;</span>;</div>
<div class="line"><span class="lineno"> 38</span> <span class="comment">// for a = 3 and b = 11 return 4</span></div>
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<div class="line"><span class="lineno"> 48</span> <span class="comment">// for a = 7 and b = 26 return 15</span></div>
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<div class="line"><span class="lineno"> 53</span>}</div>
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