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<div id="projectname">Algorithms_in_C++<span id="projectnumber"> 1.0.0</span>
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<div id="projectname">TheAlgorithms/C++<span id="projectnumber"> 1.0.0</span>
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</div>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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<div id="projectbrief">All the algorithms implemented in C++</div>
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</td>
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</tr>
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</tbody>
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@@ -121,7 +138,9 @@ Include dependency graph for fibonacci_large.cpp:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../dc/de0/fibonacci__large_8cpp__incl.svg" width="640" height="184"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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</div>
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</div><table class="memberdecls">
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</div>
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<p><a href="../../de/de4/fibonacci__large_8cpp_source.html">Go to the source code of this file.</a></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:adf3e906875ab257f7fab3bc1370aa2db" id="r_adf3e906875ab257f7fab3bc1370aa2db"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../db/d82/classlarge__number.html">large_number</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="#adf3e906875ab257f7fab3bc1370aa2db">fib</a> (uint64_t n)</td></tr>
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@@ -134,6 +153,8 @@ Functions</h2></td></tr>
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<p>Took 0.608246 seconds to compute 50,000^th Fibonacci number that contains 10450 digits!</p>
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<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala" target="_blank">Krishna Vedala</a> </dd></dl>
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||||
<dl class="section see"><dt>See also</dt><dd><a class="el" href="../../d9/d89/fibonacci_8cpp.html" title="n-th Fibonacci number.">fibonacci.cpp</a>, <a class="el" href="../../d4/d32/fibonacci__fast_8cpp.html" title="Faster computation of Fibonacci series.">fibonacci_fast.cpp</a>, <a class="el" href="../../de/d47/string__fibonacci_8cpp.html" title="This Programme returns the Nth fibonacci as a string.">string_fibonacci.cpp</a> </dd></dl>
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<p class="definition">Definition in file <a class="el" href="../../de/de4/fibonacci__large_8cpp_source.html">fibonacci_large.cpp</a>.</p>
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</div><h2 class="groupheader">Function Documentation</h2>
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||||
<a id="adf3e906875ab257f7fab3bc1370aa2db" name="adf3e906875ab257f7fab3bc1370aa2db"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#adf3e906875ab257f7fab3bc1370aa2db">◆ </a></span>fib()</h2>
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@@ -153,6 +174,8 @@ Functions</h2></td></tr>
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\[f(n)=f(n-1)+f(n-2)\]
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</p>
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<p> and returns the result as a <a class="el" href="../../db/d82/classlarge__number.html">large_number</a> type. </p>
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<p class="definition">Definition at line <a class="el" href="../../de/de4/fibonacci__large_8cpp_source.html#l00024">24</a> of file <a class="el" href="../../de/de4/fibonacci__large_8cpp_source.html">fibonacci_large.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 24</span> {</div>
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<div class="line"><span class="lineno"> 25</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> f0(1);</div>
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<div class="line"><span class="lineno"> 26</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> f1(1);</div>
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@@ -166,7 +189,7 @@ Functions</h2></td></tr>
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<div class="line"><span class="lineno"> 34</span> </div>
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<div class="line"><span class="lineno"> 35</span> <span class="keywordflow">return</span> f1;</div>
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<div class="line"><span class="lineno"> 36</span>}</div>
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<div class="ttc" id="aclasslarge__number_html"><div class="ttname"><a href="../../db/d82/classlarge__number.html">large_number</a></div><div class="ttdef"><b>Definition</b> large_number.h:24</div></div>
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<div class="ttc" id="aclasslarge__number_html"><div class="ttname"><a href="../../db/d82/classlarge__number.html">large_number</a></div><div class="ttdef"><b>Definition</b> <a href="../../d4/d86/large__number_8h_source.html#l00024">large_number.h:24</a></div></div>
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</div><!-- fragment -->
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</div>
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</div>
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@@ -188,26 +211,28 @@ Functions</h2></td></tr>
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</tr>
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</table>
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</div><div class="memdoc">
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<p class="definition">Definition at line <a class="el" href="../../de/de4/fibonacci__large_8cpp_source.html#l00038">38</a> of file <a class="el" href="../../de/de4/fibonacci__large_8cpp_source.html">fibonacci_large.cpp</a>.</p>
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||||
<div class="fragment"><div class="line"><span class="lineno"> 38</span> {</div>
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||||
<div class="line"><span class="lineno"> 39</span> uint64_t <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>;</div>
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||||
<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">if</span> (argc == 2) {</div>
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||||
<div class="line"><span class="lineno"> 41</span> <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/strtoul.html">strtoull</a>(argv[1], NULL, 10);</div>
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||||
<div class="line"><span class="lineno"> 41</span> <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = strtoull(argv[1], NULL, 10);</div>
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||||
<div class="line"><span class="lineno"> 42</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><span class="lineno"> 43</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Enter N: "</span>;</div>
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<div class="line"><span class="lineno"> 44</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>;</div>
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||||
<div class="line"><span class="lineno"> 43</span> std::cout << <span class="stringliteral">"Enter N: "</span>;</div>
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||||
<div class="line"><span class="lineno"> 44</span> std::cin >> <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>;</div>
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||||
<div class="line"><span class="lineno"> 45</span> }</div>
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<div class="line"><span class="lineno"> 46</span> </div>
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||||
<div class="line"><span class="lineno"> 47</span> clock_t start_time = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a>();</div>
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<div class="line"><span class="lineno"> 47</span> clock_t start_time = std::clock();</div>
|
||||
<div class="line"><span class="lineno"> 48</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> = <a class="code hl_function" href="#adf3e906875ab257f7fab3bc1370aa2db">fib</a>(N);</div>
|
||||
<div class="line"><span class="lineno"> 49</span> clock_t end_time = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a>();</div>
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<div class="line"><span class="lineno"> 49</span> clock_t end_time = std::clock();</div>
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||||
<div class="line"><span class="lineno"> 50</span> <span class="keywordtype">double</span> time_taken = <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(end_time - start_time) /</div>
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||||
<div class="line"><span class="lineno"> 51</span> <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(CLOCKS_PER_SEC);</div>
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||||
<div class="line"><span class="lineno"> 52</span> </div>
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||||
<div class="line"><span class="lineno"> 53</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div>
|
||||
<div class="line"><span class="lineno"> 54</span> << <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> << <span class="stringliteral">"^th Fibonacci number: "</span> << <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div>
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||||
<div class="line"><span class="lineno"> 55</span> << <span class="stringliteral">"Number of digits: "</span> << <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.num_digits() << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div>
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||||
<div class="line"><span class="lineno"> 56</span> << <span class="stringliteral">"Time taken: "</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/fixed.html">std::scientific</a> << time_taken << <span class="stringliteral">" s"</span></div>
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||||
<div class="line"><span class="lineno"> 57</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 53</span> std::cout << std::endl</div>
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||||
<div class="line"><span class="lineno"> 54</span> << <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> << <span class="stringliteral">"^th Fibonacci number: "</span> << <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> << std::endl</div>
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||||
<div class="line"><span class="lineno"> 55</span> << <span class="stringliteral">"Number of digits: "</span> << <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.num_digits() << std::endl</div>
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||||
<div class="line"><span class="lineno"> 56</span> << <span class="stringliteral">"Time taken: "</span> << std::scientific << time_taken << <span class="stringliteral">" s"</span></div>
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||||
<div class="line"><span class="lineno"> 57</span> << std::endl;</div>
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||||
<div class="line"><span class="lineno"> 58</span> </div>
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||||
<div class="line"><span class="lineno"> 59</span> <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = 5000;</div>
|
||||
<div class="line"><span class="lineno"> 60</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="#adf3e906875ab257f7fab3bc1370aa2db">fib</a>(N) ==</div>
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||||
@@ -228,23 +253,17 @@ Functions</h2></td></tr>
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||||
<div class="line"><span class="lineno"> 75</span> <span class="stringliteral">"508206686289742063932343848846524098874239587380197699382031717420"</span></div>
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||||
<div class="line"><span class="lineno"> 76</span> <span class="stringliteral">"893226546887936400263079778005875912967138963421425257911687275560"</span></div>
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||||
<div class="line"><span class="lineno"> 77</span> <span class="stringliteral">"0360311370547754724604639987588046985178408674382863125"</span>))</div>
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||||
<div class="line"><span class="lineno"> 78</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Test for "</span> << <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> << <span class="stringliteral">"^th Fibonacci number passed!"</span></div>
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||||
<div class="line"><span class="lineno"> 79</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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||||
<div class="line"><span class="lineno"> 78</span> std::cout << <span class="stringliteral">"Test for "</span> << <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> << <span class="stringliteral">"^th Fibonacci number passed!"</span></div>
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<div class="line"><span class="lineno"> 79</span> << std::endl;</div>
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||||
<div class="line"><span class="lineno"> 80</span> <span class="keywordflow">else</span></div>
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<div class="line"><span class="lineno"> 81</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"Test for "</span> << <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> << <span class="stringliteral">"^th Fibonacci number failed!"</span></div>
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||||
<div class="line"><span class="lineno"> 82</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 81</span> std::cerr << <span class="stringliteral">"Test for "</span> << <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> << <span class="stringliteral">"^th Fibonacci number failed!"</span></div>
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<div class="line"><span class="lineno"> 82</span> << std::endl;</div>
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<div class="line"><span class="lineno"> 83</span> </div>
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<div class="line"><span class="lineno"> 84</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 85</span>}</div>
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<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></div>
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||||
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
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||||
<div class="ttc" id="aclock_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a></div><div class="ttdeci">T clock(T... args)</div></div>
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||||
<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
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||||
<div class="ttc" id="afibonacci__large_8cpp_html_adf3e906875ab257f7fab3bc1370aa2db"><div class="ttname"><a href="#adf3e906875ab257f7fab3bc1370aa2db">fib</a></div><div class="ttdeci">large_number fib(uint64_t n)</div><div class="ttdef"><b>Definition</b> fibonacci_large.cpp:24</div></div>
|
||||
<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition</b> fibonacci_sum.cpp:77</div></div>
|
||||
<div class="ttc" id="afixed_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/fixed.html">std::scientific</a></div><div class="ttdeci">T scientific(T... args)</div></div>
|
||||
<div class="ttc" id="asparse__table_8cpp_html_a10f3ffb3f6f7e1b83d556b9c8de89a5d"><div class="ttname"><a href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">data_structures::sparse_table::N</a></div><div class="ttdeci">constexpr uint32_t N</div><div class="ttdoc">A struct to represent sparse table for min() as their invariant function, for the given array A....</div><div class="ttdef"><b>Definition</b> sparse_table.cpp:48</div></div>
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<div class="ttc" id="astrtoul_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/byte/strtoul.html">std::strtoull</a></div><div class="ttdeci">T strtoull(T... args)</div></div>
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<div class="ttc" id="afibonacci__large_8cpp_html_adf3e906875ab257f7fab3bc1370aa2db"><div class="ttname"><a href="#adf3e906875ab257f7fab3bc1370aa2db">fib</a></div><div class="ttdeci">large_number fib(uint64_t n)</div><div class="ttdef"><b>Definition</b> <a href="../../de/de4/fibonacci__large_8cpp_source.html#l00024">fibonacci_large.cpp:24</a></div></div>
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<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition</b> <a href="../../de/dc3/fibonacci__sum_8cpp_source.html#l00077">fibonacci_sum.cpp:77</a></div></div>
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<div class="ttc" id="asparse__table_8cpp_html_a10f3ffb3f6f7e1b83d556b9c8de89a5d"><div class="ttname"><a href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">data_structures::sparse_table::N</a></div><div class="ttdeci">constexpr uint32_t N</div><div class="ttdoc">A struct to represent sparse table for min() as their invariant function, for the given array A....</div><div class="ttdef"><b>Definition</b> <a href="../../d8/dab/sparse__table_8cpp_source.html#l00048">sparse_table.cpp:48</a></div></div>
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</div>
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