Documentation for fddbf08f5a

This commit is contained in:
github-actions
2023-04-14 18:47:37 +00:00
parent c22c59c909
commit df874295ae
1740 changed files with 20633 additions and 20520 deletions

View File

@@ -1,7 +1,7 @@
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<p>[Program to count digits in an integer](<a href="https://www.geeksforgeeks.org/program-count-digits-integer-3-different-methods">https://www.geeksforgeeks.org/program-count-digits-integer-3-different-methods</a>)
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;cmath&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
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Include dependency graph for finding_number_of_digits_in_a_number.cpp:</div>
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<tr class="memitem:a8a3b522a675ab4cdec2d275f6f7798a1"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a> (uint64_t n)</td></tr>
<tr class="memdesc:a8a3b522a675ab4cdec2d275f6f7798a1"><td class="mdescLeft">&#160;</td><td class="mdescRight">for IO operations <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="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self-test implementations. <br /></td></tr>
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<tr class="memdesc:ac0862b67cf73651707ece04673e1ae49"><td class="mdescLeft">&#160;</td><td class="mdescRight">This function finds the number of digits in constant time using logarithmic function TC: O(1) <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>[Program to count digits in an integer](<a href="https://www.geeksforgeeks.org/program-count-digits-integer-3-different-methods">https://www.geeksforgeeks.org/program-count-digits-integer-3-different-methods</a>) </p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/amino19" target="_blank">aminos 🇮🇳</a></dd></dl>
<p>It is a very basic math of finding number of digits in a given number i.e, we can use it by inputting values whether it can be a positive/negative value, let's say: an integer. There is also a second method: by using "K = floor(log10(N) + 1)", but it's only applicable for numbers (not integers). For more details, refer to the <a href="https://github.com/TheAlgorithms/Algorithms-Explanation/blob/master/en/Basic%20Math/Finding
<p>It is a very basic math of finding number of digits in a given number i.e, we can use it by inputting values whether it can be a positive/negative value, let's say: an integer. There is also a second method: by using "K = floor(log10(N) + 1)", but it's only applicable for numbers (not integers). The code for that is also included (finding_number_of_digits_in_a_number_using_log). For more details, refer to the <a href="https://github.com/TheAlgorithms/Algorithms-Explanation/blob/master/en/Basic%20Math/Finding
the number of digits in a number.md" target="_blank">Algorithms-Explanation</a> repository. </p>
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<a id="a8a3b522a675ab4cdec2d275f6f7798a1" name="a8a3b522a675ab4cdec2d275f6f7798a1"></a>
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<p>for IO operations </p>
<p>for assert</p>
<p>The main function that checks the number of digits in a number. </p><dl class="params"><dt>Parameters</dt><dd>
<p>for assert for log calculation</p>
<p>The main function that checks the number of digits in a number. TC : O(number of digits) </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">n</td><td>the number to check its digits </td></tr>
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</dl>
<dl class="section return"><dt>Returns</dt><dd>the digits count </dd></dl>
<p>&lt; the variable used for the digits count</p>
<div class="fragment"><div class="line"><span class="lineno"> 27</span> {</div>
<div class="line"><span class="lineno"> 28</span> uint64_t count = 0; <span class="comment">///&lt; the variable used for the digits count</span></div>
<div class="line"><span class="lineno"> 29</span> </div>
<div class="line"><span class="lineno"> 30</span> <span class="comment">// iterate until `n` becomes 0</span></div>
<div class="line"><span class="lineno"> 31</span> <span class="comment">// remove last digit from `n` in each iteration</span></div>
<div class="line"><span class="lineno"> 32</span> <span class="comment">// increase `count` by 1 in each iteration</span></div>
<div class="line"><span class="lineno"> 33</span> <span class="keywordflow">while</span> (n != 0) {</div>
<div class="line"><span class="lineno"> 34</span> <span class="comment">// we can also use `n = n / 10`</span></div>
<div class="line"><span class="lineno"> 35</span> n /= 10;</div>
<div class="line"><span class="lineno"> 36</span> <span class="comment">// each time the loop is running, `count` will be incremented by 1.</span></div>
<div class="line"><span class="lineno"> 37</span> ++count;</div>
<div class="line"><span class="lineno"> 38</span> }</div>
<div class="line"><span class="lineno"> 39</span> </div>
<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">return</span> count;</div>
<div class="line"><span class="lineno"> 41</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 30</span> {</div>
<div class="line"><span class="lineno"> 31</span> uint64_t count = 0; <span class="comment">///&lt; the variable used for the digits count</span></div>
<div class="line"><span class="lineno"> 32</span> </div>
<div class="line"><span class="lineno"> 33</span> <span class="comment">// iterate until `n` becomes 0</span></div>
<div class="line"><span class="lineno"> 34</span> <span class="comment">// remove last digit from `n` in each iteration</span></div>
<div class="line"><span class="lineno"> 35</span> <span class="comment">// increase `count` by 1 in each iteration</span></div>
<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">while</span> (n != 0) {</div>
<div class="line"><span class="lineno"> 37</span> <span class="comment">// we can also use `n = n / 10`</span></div>
<div class="line"><span class="lineno"> 38</span> n /= 10;</div>
<div class="line"><span class="lineno"> 39</span> <span class="comment">// each time the loop is running, `count` will be incremented by 1.</span></div>
<div class="line"><span class="lineno"> 40</span> ++count;</div>
<div class="line"><span class="lineno"> 41</span> }</div>
<div class="line"><span class="lineno"> 42</span> </div>
<div class="line"><span class="lineno"> 43</span> <span class="keywordflow">return</span> count;</div>
<div class="line"><span class="lineno"> 44</span>}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ac0862b67cf73651707ece04673e1ae49">&#9670;&#160;</a></span>finding_number_of_digits_in_a_number_using_log()</h2>
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<td class="memname">double finding_number_of_digits_in_a_number_using_log </td>
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<p>This function finds the number of digits in constant time using logarithmic function TC: O(1) </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">n</td><td>the number to check its digits </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the digits count </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 53</span> {</div>
<div class="line"><span class="lineno"> 54</span> <span class="comment">// log(0) is undefined</span></div>
<div class="line"><span class="lineno"> 55</span> <span class="keywordflow">if</span> (n == 0) {</div>
<div class="line"><span class="lineno"> 56</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 57</span> }</div>
<div class="line"><span class="lineno"> 58</span> </div>
<div class="line"><span class="lineno"> 59</span> <span class="comment">// to handle the negative numbers</span></div>
<div class="line"><span class="lineno"> 60</span> <span class="keywordflow">if</span> (n &lt; 0) {</div>
<div class="line"><span class="lineno"> 61</span> n = -n;</div>
<div class="line"><span class="lineno"> 62</span> }</div>
<div class="line"><span class="lineno"> 63</span> </div>
<div class="line"><span class="lineno"> 64</span> <span class="keywordtype">double</span> count = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/floor.html">floor</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/log10.html">log10</a>(n) + 1);</div>
<div class="line"><span class="lineno"> 65</span> </div>
<div class="line"><span class="lineno"> 66</span> <span class="keywordflow">return</span> count;</div>
<div class="line"><span class="lineno"> 67</span>}</div>
<div class="ttc" id="afloor_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/floor.html">std::floor</a></div><div class="ttdeci">T floor(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ab4c15b7f1aedd4419a65cd49562cc300">&#9670;&#160;</a></span>first_test()</h2>
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<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 73</span> {</div>
<div class="line"><span class="lineno"> 74</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(5492) == 4);</div>
<div class="line"><span class="lineno"> 75</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(-0) == 0);</div>
<div class="line"><span class="lineno"> 76</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(10000) == 5);</div>
<div class="line"><span class="lineno"> 77</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(9) == 1);</div>
<div class="line"><span class="lineno"> 78</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(100000) == 6);</div>
<div class="line"><span class="lineno"> 79</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(13) == 2);</div>
<div class="line"><span class="lineno"> 80</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(564) == 3);</div>
<div class="line"><span class="lineno"> 81</span>}</div>
<div class="ttc" id="afinding__number__of__digits__in__a__number_8cpp_html_a8a3b522a675ab4cdec2d275f6f7798a1"><div class="ttname"><a href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a></div><div class="ttdeci">uint64_t finding_number_of_digits_in_a_number(uint64_t n)</div><div class="ttdoc">for IO operations</div><div class="ttdef"><b>Definition:</b> finding_number_of_digits_in_a_number.cpp:30</div></div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
<div class="dyncontent">
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/d46/finding__number__of__digits__in__a__number_8cpp_ab4c15b7f1aedd4419a65cd49562cc300_cgraph.svg" width="299" height="51"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
@@ -194,22 +288,26 @@ the number of digits in a number.md" target="_blank">Algorithms-Explanation</a>
<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"> 63</span> {</div>
<div class="line"><span class="lineno"> 64</span> <a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 65</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 66</span>}</div>
<div class="ttc" id="afinding__number__of__digits__in__a__number_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition:</b> finding_number_of_digits_in_a_number.cpp:47</div></div>
<div class="fragment"><div class="line"><span class="lineno"> 96</span> {</div>
<div class="line"><span class="lineno"> 97</span> <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 98</span> <a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#ab4c15b7f1aedd4419a65cd49562cc300">first_test</a>();</div>
<div class="line"><span class="lineno"> 99</span> second_test();</div>
<div class="line"><span class="lineno"> 100</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;All tests have successfully passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 101</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 102</span>}</div>
<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>
<div class="ttc" id="afinding__number__of__digits__in__a__number_8cpp_html_ab4c15b7f1aedd4419a65cd49562cc300"><div class="ttname"><a href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#ab4c15b7f1aedd4419a65cd49562cc300">first_test</a></div><div class="ttdeci">static void first_test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition:</b> finding_number_of_digits_in_a_number.cpp:73</div></div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/d46/finding__number__of__digits__in__a__number_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="368" height="51"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&#160;</a></span>test()</h2>
<a id="a8b222ea7f3e6e3128e67d546b654d3a9" name="a8b222ea7f3e6e3128e67d546b654d3a9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8b222ea7f3e6e3128e67d546b654d3a9">&#9670;&#160;</a></span>second_test()</h2>
<div class="memitem">
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<td class="mlabels-left">
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<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 47</span> {</div>
<div class="line"><span class="lineno"> 48</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(5492) == 4);</div>
<div class="line"><span class="lineno"> 49</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(-0) == 0);</div>
<div class="line"><span class="lineno"> 50</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(10000) == 5);</div>
<div class="line"><span class="lineno"> 51</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(9) == 1);</div>
<div class="line"><span class="lineno"> 52</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(100000) == 6);</div>
<div class="line"><span class="lineno"> 53</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(13) == 2);</div>
<div class="line"><span class="lineno"> 54</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(564) == 3);</div>
<div class="line"><span class="lineno"> 55</span> </div>
<div class="line"><span class="lineno"> 56</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;All tests have successfully passed!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 57</span>}</div>
<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>
<div class="ttc" id="afinding__number__of__digits__in__a__number_8cpp_html_a8a3b522a675ab4cdec2d275f6f7798a1"><div class="ttname"><a href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a></div><div class="ttdeci">uint64_t finding_number_of_digits_in_a_number(uint64_t n)</div><div class="ttdoc">for IO operations</div><div class="ttdef"><b>Definition:</b> finding_number_of_digits_in_a_number.cpp:27</div></div>
</div><!-- fragment --><div class="dynheader">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/d46/finding__number__of__digits__in__a__number_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg" width="270" height="51"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<div class="fragment"><div class="line"><span class="lineno"> 83</span> {</div>
<div class="line"><span class="lineno"> 84</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(5492) == 4);</div>
<div class="line"><span class="lineno"> 85</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(-0) == 0);</div>
<div class="line"><span class="lineno"> 86</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(10000) == 5);</div>
<div class="line"><span class="lineno"> 87</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(9) == 1);</div>
<div class="line"><span class="lineno"> 88</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(100000) == 6);</div>
<div class="line"><span class="lineno"> 89</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(13) == 2);</div>
<div class="line"><span class="lineno"> 90</span> assert(<a class="code hl_function" href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(564) == 3);</div>
<div class="line"><span class="lineno"> 91</span>}</div>
<div class="ttc" id="afinding__number__of__digits__in__a__number_8cpp_html_ac0862b67cf73651707ece04673e1ae49"><div class="ttname"><a href="../../d0/d46/finding__number__of__digits__in__a__number_8cpp.html#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a></div><div class="ttdeci">double finding_number_of_digits_in_a_number_using_log(double n)</div><div class="ttdoc">This function finds the number of digits in constant time using logarithmic function TC: O(1)</div><div class="ttdef"><b>Definition:</b> finding_number_of_digits_in_a_number.cpp:53</div></div>
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