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<div class="headertitle"><div class="title">factorial_memoization.cpp</div></div>
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<div class="contents">
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<a href="../../d2/d96/factorial__memoization_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include &lt;iostream&gt;</span> <span class="comment">// for std::cout</span></div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="preprocessor">#include &lt;cassert&gt;</span> <span class="comment">// For test cases</span></div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include &lt;array&gt;</span> <span class="comment">// For std::array</span></div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="preprocessor">#include &lt;cstdint&gt;</span> <span class="comment">// For uint64_t</span></div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span></div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"><a class="line" href="../../d2/d96/factorial__memoization_8cpp.html#a0f9b4d5fae79e1029daf9bd1b93ec217"> 31</a></span>std::array&lt;uint64_t, 1000&gt; <a class="code hl_variable" href="../../d2/d96/factorial__memoization_8cpp.html#a0f9b4d5fae79e1029daf9bd1b93ec217">memo</a>{0};</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span></div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../dd/d47/namespacemath.html">math</a> {</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span></div>
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<div class="foldopen" id="foldopen00044" data-start="{" data-end="}">
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"><a class="line" href="../../dd/d47/namespacemath.html#a73b07abea036f1ce2e3ac5dc169bdb4b"> 44</a></span>uint64_t <a class="code hl_function" href="../../dd/d47/namespacemath.html#a73b07abea036f1ce2e3ac5dc169bdb4b">fact_recursion</a>(uint64_t n) {</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordflow">if</span> (n == 0) <span class="keywordflow">return</span> 1; <span class="comment">// Base case: 0! = 1</span></div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../d2/d96/factorial__memoization_8cpp.html#a0f9b4d5fae79e1029daf9bd1b93ec217">memo</a>[n] != 0) <span class="keywordflow">return</span> <a class="code hl_variable" href="../../d2/d96/factorial__memoization_8cpp.html#a0f9b4d5fae79e1029daf9bd1b93ec217">memo</a>[n]; <span class="comment">// Return already computed value</span></div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <a class="code hl_variable" href="../../d2/d96/factorial__memoization_8cpp.html#a0f9b4d5fae79e1029daf9bd1b93ec217">memo</a>[n] = n * <a class="code hl_function" href="../../dd/d47/namespacemath.html#a73b07abea036f1ce2e3ac5dc169bdb4b">fact_recursion</a>(n - 1); <span class="comment">// Store and return the computed value</span></div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="../../d2/d96/factorial__memoization_8cpp.html#a0f9b4d5fae79e1029daf9bd1b93ec217">memo</a>[n];</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span>}</div>
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</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> </div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span>} <span class="comment">// namespace math</span></div>
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<div class="foldopen" id="foldopen00056" data-start="{" data-end="}">
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"><a class="line" href="../../d2/d96/factorial__memoization_8cpp.html#a4243a60d73b9e1296de20196d5b155ba"> 56</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d2/d96/factorial__memoization_8cpp.html#a4243a60d73b9e1296de20196d5b155ba">test_fact_recursion</a>() {</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="comment">// Test cases for factorial computation</span></div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a73b07abea036f1ce2e3ac5dc169bdb4b">math::fact_recursion</a>(0) == 1);</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a73b07abea036f1ce2e3ac5dc169bdb4b">math::fact_recursion</a>(1) == 1);</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a73b07abea036f1ce2e3ac5dc169bdb4b">math::fact_recursion</a>(5) == 120);</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> assert(<a class="code hl_function" href="../../dd/d47/namespacemath.html#a73b07abea036f1ce2e3ac5dc169bdb4b">math::fact_recursion</a>(10) == 3628800);</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> std::cout &lt;&lt; <span class="stringliteral">&quot;All test cases passed!\n&quot;</span>;</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span>}</div>
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</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span></div>
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<div class="foldopen" id="foldopen00069" data-start="{" data-end="}">
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"><a class="line" href="../../d2/d96/factorial__memoization_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 69</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d2/d96/factorial__memoization_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="comment">// Run test cases</span></div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <a class="code hl_function" href="../../d2/d96/factorial__memoization_8cpp.html#a4243a60d73b9e1296de20196d5b155ba">test_fact_recursion</a>();</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span>}</div>
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</div>
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<div class="ttc" id="afactorial__memoization_8cpp_html_a0f9b4d5fae79e1029daf9bd1b93ec217"><div class="ttname"><a href="../../d2/d96/factorial__memoization_8cpp.html#a0f9b4d5fae79e1029daf9bd1b93ec217">memo</a></div><div class="ttdeci">std::array&lt; uint64_t, 1000 &gt; memo</div><div class="ttdoc">Array to store computed factorials for memoization.</div><div class="ttdef"><b>Definition</b> <a href="#l00031">factorial_memoization.cpp:31</a></div></div>
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<div class="ttc" id="afactorial__memoization_8cpp_html_a4243a60d73b9e1296de20196d5b155ba"><div class="ttname"><a href="../../d2/d96/factorial__memoization_8cpp.html#a4243a60d73b9e1296de20196d5b155ba">test_fact_recursion</a></div><div class="ttdeci">void test_fact_recursion()</div><div class="ttdoc">Self-test implementations for the fact_recursion function.</div><div class="ttdef"><b>Definition</b> <a href="#l00056">factorial_memoization.cpp:56</a></div></div>
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<div class="ttc" id="afactorial__memoization_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d2/d96/factorial__memoization_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function to run test cases and interact with the user.</div><div class="ttdef"><b>Definition</b> <a href="#l00069">factorial_memoization.cpp:69</a></div></div>
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<div class="ttc" id="anamespacemath_html"><div class="ttname"><a href="../../dd/d47/namespacemath.html">math</a></div><div class="ttdoc">for assert</div></div>
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<div class="ttc" id="anamespacemath_html_a73b07abea036f1ce2e3ac5dc169bdb4b"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a73b07abea036f1ce2e3ac5dc169bdb4b">math::fact_recursion</a></div><div class="ttdeci">uint64_t fact_recursion(uint64_t n)</div><div class="ttdoc">Computes the factorial of a non-negative integer using recursion and memoization.</div><div class="ttdef"><b>Definition</b> <a href="#l00044">factorial_memoization.cpp:44</a></div></div>
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