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<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a8a3b522a675ab4cdec2d275f6f7798a1" id="r_a8a3b522a675ab4cdec2d275f6f7798a1"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#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>
<tr class="memdesc:a8a3b522a675ab4cdec2d275f6f7798a1"><td class="mdescLeft">&#160;</td><td class="mdescRight">for log calculation <br /></td></tr>
<tr class="separator:a8a3b522a675ab4cdec2d275f6f7798a1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac0862b67cf73651707ece04673e1ae49" id="r_ac0862b67cf73651707ece04673e1ae49"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a> (double n)</td></tr>
<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>
@@ -159,8 +160,8 @@ the number of digits in a number.md" target="_blank">Algorithms-Explanation</a>
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<p>for IO operations </p>
<p>for assert for log calculation</p>
<p>for log calculation </p>
<p>for assert for IO operations</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>
@@ -169,21 +170,21 @@ the number of digits in a number.md" target="_blank">Algorithms-Explanation</a>
</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"> 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>
<div class="fragment"><div class="line"><span class="lineno"> 31</span> {</div>
<div class="line"><span class="lineno"> 32</span> uint64_t count = 0; <span class="comment">///&lt; the variable used for the digits count</span></div>
<div class="line"><span class="lineno"> 33</span> </div>
<div class="line"><span class="lineno"> 34</span> <span class="comment">// iterate until `n` becomes 0</span></div>
<div class="line"><span class="lineno"> 35</span> <span class="comment">// remove last digit from `n` in each iteration</span></div>
<div class="line"><span class="lineno"> 36</span> <span class="comment">// increase `count` by 1 in each iteration</span></div>
<div class="line"><span class="lineno"> 37</span> <span class="keywordflow">while</span> (n != 0) {</div>
<div class="line"><span class="lineno"> 38</span> <span class="comment">// we can also use `n = n / 10`</span></div>
<div class="line"><span class="lineno"> 39</span> n /= 10;</div>
<div class="line"><span class="lineno"> 40</span> <span class="comment">// each time the loop is running, `count` will be incremented by 1.</span></div>
<div class="line"><span class="lineno"> 41</span> ++count;</div>
<div class="line"><span class="lineno"> 42</span> }</div>
<div class="line"><span class="lineno"> 43</span> </div>
<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">return</span> count;</div>
<div class="line"><span class="lineno"> 45</span>}</div>
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@@ -210,21 +211,21 @@ the number of digits in a number.md" target="_blank">Algorithms-Explanation</a>
</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="fragment"><div class="line"><span class="lineno"> 54</span> {</div>
<div class="line"><span class="lineno"> 55</span> <span class="comment">// log(0) is undefined</span></div>
<div class="line"><span class="lineno"> 56</span> <span class="keywordflow">if</span> (n == 0) {</div>
<div class="line"><span class="lineno"> 57</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 58</span> }</div>
<div class="line"><span class="lineno"> 59</span> </div>
<div class="line"><span class="lineno"> 60</span> <span class="comment">// to handle the negative numbers</span></div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">if</span> (n &lt; 0) {</div>
<div class="line"><span class="lineno"> 62</span> n = -n;</div>
<div class="line"><span class="lineno"> 63</span> }</div>
<div class="line"><span class="lineno"> 64</span> </div>
<div class="line"><span class="lineno"> 65</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"> 66</span> </div>
<div class="line"><span class="lineno"> 67</span> <span class="keywordflow">return</span> count;</div>
<div class="line"><span class="lineno"> 68</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>
<div class="ttc" id="alog10_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/log10.html">std::log10</a></div><div class="ttdeci">T log10(T... args)</div></div>
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@@ -255,16 +256,16 @@ the number of digits in a number.md" target="_blank">Algorithms-Explanation</a>
<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="#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="#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="#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="#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="#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="#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="#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="#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 class="fragment"><div class="line"><span class="lineno"> 74</span> {</div>
<div class="line"><span class="lineno"> 75</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(5492) == 4);</div>
<div class="line"><span class="lineno"> 76</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(-0) == 0);</div>
<div class="line"><span class="lineno"> 77</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(10000) == 5);</div>
<div class="line"><span class="lineno"> 78</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(9) == 1);</div>
<div class="line"><span class="lineno"> 79</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(100000) == 6);</div>
<div class="line"><span class="lineno"> 80</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(13) == 2);</div>
<div class="line"><span class="lineno"> 81</span> assert(<a class="code hl_function" href="#a8a3b522a675ab4cdec2d275f6f7798a1">finding_number_of_digits_in_a_number</a>(564) == 3);</div>
<div class="line"><span class="lineno"> 82</span>}</div>
<div class="ttc" id="afinding__number__of__digits__in__a__number_8cpp_html_a8a3b522a675ab4cdec2d275f6f7798a1"><div class="ttname"><a href="#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 log calculation</div><div class="ttdef"><b>Definition</b> finding_number_of_digits_in_a_number.cpp:31</div></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"> 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="#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="fragment"><div class="line"><span class="lineno"> 97</span> {</div>
<div class="line"><span class="lineno"> 98</span> <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 99</span> <a class="code hl_function" href="#ab4c15b7f1aedd4419a65cd49562cc300">first_test</a>();</div>
<div class="line"><span class="lineno"> 100</span> second_test();</div>
<div class="line"><span class="lineno"> 101</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"> 102</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 103</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>
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<div class="ttc" id="afinding__number__of__digits__in__a__number_8cpp_html_ab4c15b7f1aedd4419a65cd49562cc300"><div class="ttname"><a href="#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:74</div></div>
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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="#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="#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="#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="#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="#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="#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="#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="#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>
<div class="fragment"><div class="line"><span class="lineno"> 84</span> {</div>
<div class="line"><span class="lineno"> 85</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(5492) == 4);</div>
<div class="line"><span class="lineno"> 86</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(-0) == 0);</div>
<div class="line"><span class="lineno"> 87</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(10000) == 5);</div>
<div class="line"><span class="lineno"> 88</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(9) == 1);</div>
<div class="line"><span class="lineno"> 89</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(100000) == 6);</div>
<div class="line"><span class="lineno"> 90</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(13) == 2);</div>
<div class="line"><span class="lineno"> 91</span> assert(<a class="code hl_function" href="#ac0862b67cf73651707ece04673e1ae49">finding_number_of_digits_in_a_number_using_log</a>(564) == 3);</div>
<div class="line"><span class="lineno"> 92</span>}</div>
<div class="ttc" id="afinding__number__of__digits__in__a__number_8cpp_html_ac0862b67cf73651707ece04673e1ae49"><div class="ttname"><a href="#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:54</div></div>
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<div class="textblock"><code>#include &lt;array&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;cstdint&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
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@@ -179,11 +180,11 @@ const int&#160;</td><td class="memItemRight" valign="bottom"><b>data_structures:
<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"> 256</span> {</div>
<div class="line"><span class="lineno"> 257</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 258</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 259</span>}</div>
<div class="ttc" id="atreap_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> treap.cpp:230</div></div>
<div class="fragment"><div class="line"><span class="lineno"> 255</span> {</div>
<div class="line"><span class="lineno"> 256</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
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@@ -218,36 +219,36 @@ Here is the call graph for this function:</div>
<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<p>&lt; Treap object instance</p>
<div class="fragment"><div class="line"><span class="lineno"> 230</span> {</div>
<div class="line"><span class="lineno"> 231</span> <a class="code hl_struct" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html">data_structures::treap::Treap</a> mTreap; <span class="comment">///&lt; Treap object instance</span></div>
<div class="line"><span class="lineno"> 232</span> </div>
<div class="line"><span class="lineno"> 233</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(1);</div>
<div class="line"><span class="lineno"> 234</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(2);</div>
<div class="line"><span class="lineno"> 235</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(3);</div>
<div class="line"><span class="lineno"> 236</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab2db3ad3aecc240011e0c8b8604d2c69">get_k_th</a>(2) == 2);</div>
<div class="line"><span class="lineno"> 237</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(4);</div>
<div class="line"><span class="lineno"> 238</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(5);</div>
<div class="line"><span class="lineno"> 239</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(6);</div>
<div class="line"><span class="lineno"> 240</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a767b28f9911fc32b8462862be058a4a4">get_next</a>(4) == 5);</div>
<div class="line"><span class="lineno"> 241</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(7);</div>
<div class="line"><span class="lineno"> 242</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab8b9899f22070cfa01db5bf874296126">get_predecessor</a>(7) == 6);</div>
<div class="line"><span class="lineno"> 243</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a9ea2becd904e2e7d22f23a001b444469">erase</a>(4);</div>
<div class="line"><span class="lineno"> 244</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab2db3ad3aecc240011e0c8b8604d2c69">get_k_th</a>(4) == 5);</div>
<div class="line"><span class="lineno"> 245</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ac94e9d69305940f6d8804031455af039">get_rank</a>(5) == 4);</div>
<div class="line"><span class="lineno"> 246</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(10);</div>
<div class="line"><span class="lineno"> 247</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ac94e9d69305940f6d8804031455af039">get_rank</a>(10) == 7);</div>
<div class="line"><span class="lineno"> 248</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab8b9899f22070cfa01db5bf874296126">get_predecessor</a>(10) == 7);</div>
<div class="line"><span class="lineno"> 249</span> </div>
<div class="line"><span class="lineno"> 250</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"> 251</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 229</span> {</div>
<div class="line"><span class="lineno"> 230</span> <a class="code hl_struct" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html">data_structures::treap::Treap</a> mTreap; <span class="comment">///&lt; Treap object instance</span></div>
<div class="line"><span class="lineno"> 231</span> </div>
<div class="line"><span class="lineno"> 232</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(1);</div>
<div class="line"><span class="lineno"> 233</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(2);</div>
<div class="line"><span class="lineno"> 234</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(3);</div>
<div class="line"><span class="lineno"> 235</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab2db3ad3aecc240011e0c8b8604d2c69">get_k_th</a>(2) == 2);</div>
<div class="line"><span class="lineno"> 236</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(4);</div>
<div class="line"><span class="lineno"> 237</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(5);</div>
<div class="line"><span class="lineno"> 238</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(6);</div>
<div class="line"><span class="lineno"> 239</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a767b28f9911fc32b8462862be058a4a4">get_next</a>(4) == 5);</div>
<div class="line"><span class="lineno"> 240</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(7);</div>
<div class="line"><span class="lineno"> 241</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab8b9899f22070cfa01db5bf874296126">get_predecessor</a>(7) == 6);</div>
<div class="line"><span class="lineno"> 242</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a9ea2becd904e2e7d22f23a001b444469">erase</a>(4);</div>
<div class="line"><span class="lineno"> 243</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab2db3ad3aecc240011e0c8b8604d2c69">get_k_th</a>(4) == 5);</div>
<div class="line"><span class="lineno"> 244</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ac94e9d69305940f6d8804031455af039">get_rank</a>(5) == 4);</div>
<div class="line"><span class="lineno"> 245</span> mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">insert</a>(10);</div>
<div class="line"><span class="lineno"> 246</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ac94e9d69305940f6d8804031455af039">get_rank</a>(10) == 7);</div>
<div class="line"><span class="lineno"> 247</span> assert(mTreap.<a class="code hl_function" href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab8b9899f22070cfa01db5bf874296126">get_predecessor</a>(10) == 7);</div>
<div class="line"><span class="lineno"> 248</span> </div>
<div class="line"><span class="lineno"> 249</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"> 250</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="astructdata__structures_1_1treap_1_1_treap_html"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html">data_structures::treap::Treap</a></div><div class="ttdoc">Struct representation of the treap.</div><div class="ttdef"><b>Definition</b> treap.cpp:39</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a5e884d2686aff501ef589b0d1185492f"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">data_structures::treap::Treap::insert</a></div><div class="ttdeci">void insert(int k)</div><div class="ttdoc">Insert element (External method)</div><div class="ttdef"><b>Definition</b> treap.cpp:204</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a767b28f9911fc32b8462862be058a4a4"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a767b28f9911fc32b8462862be058a4a4">data_structures::treap::Treap::get_next</a></div><div class="ttdeci">int get_next(int k)</div><div class="ttdoc">Get the successor node of element k.</div><div class="ttdef"><b>Definition</b> treap.cpp:189</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a9ea2becd904e2e7d22f23a001b444469"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a9ea2becd904e2e7d22f23a001b444469">data_structures::treap::Treap::erase</a></div><div class="ttdeci">void erase(int k)</div><div class="ttdoc">Erase element (External method)</div><div class="ttdef"><b>Definition</b> treap.cpp:209</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_ab2db3ad3aecc240011e0c8b8604d2c69"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab2db3ad3aecc240011e0c8b8604d2c69">data_structures::treap::Treap::get_k_th</a></div><div class="ttdeci">int get_k_th(int k)</div><div class="ttdoc">Get the KTH largest value (External method)</div><div class="ttdef"><b>Definition</b> treap.cpp:215</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_ab8b9899f22070cfa01db5bf874296126"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab8b9899f22070cfa01db5bf874296126">data_structures::treap::Treap::get_predecessor</a></div><div class="ttdeci">int get_predecessor(int k)</div><div class="ttdoc">Get the predecessor node of element k.</div><div class="ttdef"><b>Definition</b> treap.cpp:173</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_ac94e9d69305940f6d8804031455af039"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ac94e9d69305940f6d8804031455af039">data_structures::treap::Treap::get_rank</a></div><div class="ttdeci">int get_rank(int k)</div><div class="ttdoc">Get the rank of specified element (External method)</div><div class="ttdef"><b>Definition</b> treap.cpp:221</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html">data_structures::treap::Treap</a></div><div class="ttdoc">Struct representation of the treap.</div><div class="ttdef"><b>Definition</b> treap.cpp:40</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a5e884d2686aff501ef589b0d1185492f"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a5e884d2686aff501ef589b0d1185492f">data_structures::treap::Treap::insert</a></div><div class="ttdeci">void insert(int k)</div><div class="ttdoc">Insert element (External method)</div><div class="ttdef"><b>Definition</b> treap.cpp:203</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a767b28f9911fc32b8462862be058a4a4"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a767b28f9911fc32b8462862be058a4a4">data_structures::treap::Treap::get_next</a></div><div class="ttdeci">int get_next(int k)</div><div class="ttdoc">Get the successor node of element k.</div><div class="ttdef"><b>Definition</b> treap.cpp:188</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_a9ea2becd904e2e7d22f23a001b444469"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#a9ea2becd904e2e7d22f23a001b444469">data_structures::treap::Treap::erase</a></div><div class="ttdeci">void erase(int k)</div><div class="ttdoc">Erase element (External method)</div><div class="ttdef"><b>Definition</b> treap.cpp:208</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_ab2db3ad3aecc240011e0c8b8604d2c69"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab2db3ad3aecc240011e0c8b8604d2c69">data_structures::treap::Treap::get_k_th</a></div><div class="ttdeci">int get_k_th(int k)</div><div class="ttdoc">Get the KTH largest value (External method)</div><div class="ttdef"><b>Definition</b> treap.cpp:214</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_ab8b9899f22070cfa01db5bf874296126"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ab8b9899f22070cfa01db5bf874296126">data_structures::treap::Treap::get_predecessor</a></div><div class="ttdeci">int get_predecessor(int k)</div><div class="ttdoc">Get the predecessor node of element k.</div><div class="ttdef"><b>Definition</b> treap.cpp:172</div></div>
<div class="ttc" id="astructdata__structures_1_1treap_1_1_treap_html_ac94e9d69305940f6d8804031455af039"><div class="ttname"><a href="../../d5/d95/structdata__structures_1_1treap_1_1_treap.html#ac94e9d69305940f6d8804031455af039">data_structures::treap::Treap::get_rank</a></div><div class="ttdeci">int get_rank(int k)</div><div class="ttdoc">Get the rank of specified element (External method)</div><div class="ttdef"><b>Definition</b> treap.cpp:220</div></div>
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<p>Implementation of the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset Sum</a> problem.
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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"> 103</span> {</div>
<div class="line"><span class="lineno"> 104</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 105</span> <span class="keywordflow">return</span> 0;</div>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>count of the number of subsets with required sum </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 33</span> {</div>
<div class="line"><span class="lineno"> 34</span> int32_t nelement = in_arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
<div class="line"><span class="lineno"> 35</span> uint64_t count_of_subset = 0;</div>
<div class="line"><span class="lineno"> 36</span> </div>
<div class="line"><span class="lineno"> 37</span> <span class="keywordflow">for</span> (int32_t i = 0; i &lt; (1 &lt;&lt; (nelement)); i++) {</div>
<div class="line"><span class="lineno"> 38</span> int32_t <a class="code hl_function" href="../../d3/d84/word__break_8cpp.html#a272b0f5cdb4e41fd6dee4538b808c06a">check</a> = 0;</div>
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<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">if</span> (i &amp; (1 &lt;&lt; j)) {</div>
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<div class="line"><span class="lineno"> 43</span> }</div>
<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">if</span> (check == sum) {</div>
<div class="line"><span class="lineno"> 45</span> count_of_subset++;</div>
<div class="line"><span class="lineno"> 46</span> }</div>
<div class="line"><span class="lineno"> 47</span> }</div>
<div class="line"><span class="lineno"> 48</span> <span class="keywordflow">return</span> count_of_subset;</div>
<div class="line"><span class="lineno"> 49</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 34</span> {</div>
<div class="line"><span class="lineno"> 35</span> int32_t nelement = in_arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
<div class="line"><span class="lineno"> 36</span> uint64_t count_of_subset = 0;</div>
<div class="line"><span class="lineno"> 37</span> </div>
<div class="line"><span class="lineno"> 38</span> <span class="keywordflow">for</span> (int32_t i = 0; i &lt; (1 &lt;&lt; (nelement)); i++) {</div>
<div class="line"><span class="lineno"> 39</span> int32_t <a class="code hl_function" href="../../d3/d84/word__break_8cpp.html#a272b0f5cdb4e41fd6dee4538b808c06a">check</a> = 0;</div>
<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">for</span> (int32_t j = 0; j &lt; nelement; j++) {</div>
<div class="line"><span class="lineno"> 41</span> <span class="keywordflow">if</span> (i &amp; (1 &lt;&lt; j)) {</div>
<div class="line"><span class="lineno"> 42</span> <a class="code hl_function" href="../../d3/d84/word__break_8cpp.html#a272b0f5cdb4e41fd6dee4538b808c06a">check</a> += (in_arr[j]);</div>
<div class="line"><span class="lineno"> 43</span> }</div>
<div class="line"><span class="lineno"> 44</span> }</div>
<div class="line"><span class="lineno"> 45</span> <span class="keywordflow">if</span> (check == sum) {</div>
<div class="line"><span class="lineno"> 46</span> count_of_subset++;</div>
<div class="line"><span class="lineno"> 47</span> }</div>
<div class="line"><span class="lineno"> 48</span> }</div>
<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">return</span> count_of_subset;</div>
<div class="line"><span class="lineno"> 50</span>}</div>
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
<div class="ttc" id="aword__break_8cpp_html_a272b0f5cdb4e41fd6dee4538b808c06a"><div class="ttname"><a href="../../d3/d84/word__break_8cpp.html#a272b0f5cdb4e41fd6dee4538b808c06a">dynamic_programming::word_break::check</a></div><div class="ttdeci">bool check(const std::string &amp;s, const std::unordered_set&lt; std::string &gt; &amp;strSet, int pos, std::vector&lt; int &gt; *dp)</div><div class="ttdoc">Function that checks if the string passed in param can be segmented from position 'pos',...</div><div class="ttdef"><b>Definition</b> word_break.cpp:80</div></div>
</div><!-- fragment --><div class="dynheader">
@@ -257,47 +258,47 @@ Here is the call graph for this function:</div>
<p>Test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 57</span> {</div>
<div class="line"><span class="lineno"> 58</span> <span class="comment">// 1st test</span></div>
<div class="line"><span class="lineno"> 59</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;1st test &quot;</span>;</div>
<div class="line"><span class="lineno"> 60</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array1 = {-7, -3, -2, 5, 8}; <span class="comment">// input array</span></div>
<div class="line"><span class="lineno"> 61</span> assert(backtracking::subset_sum::number_of_subsets(0, array1) ==</div>
<div class="line"><span class="lineno"> 62</span> 2); <span class="comment">// first argument in subset_sum function is the required sum and</span></div>
<div class="line"><span class="lineno"> 63</span> <span class="comment">// second is the input array</span></div>
<div class="line"><span class="lineno"> 64</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;passed&quot;</span> &lt;&lt; <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"> 65</span> </div>
<div class="line"><span class="lineno"> 66</span> <span class="comment">// 2nd test</span></div>
<div class="line"><span class="lineno"> 67</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;2nd test &quot;</span>;</div>
<div class="line"><span class="lineno"> 68</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array2 = {1, 2, 3, 3};</div>
<div class="line"><span class="lineno"> 69</span> assert(backtracking::subset_sum::number_of_subsets(6, array2) ==</div>
<div class="line"><span class="lineno"> 70</span> 3); <span class="comment">// here we are expecting 3 subsets which sum up to 6 i.e.</span></div>
<div class="line"><span class="lineno"> 71</span> <span class="comment">// {(1,2,3),(1,2,3),(3,3)}</span></div>
<div class="line"><span class="lineno"> 72</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;passed&quot;</span> &lt;&lt; <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"> 73</span> </div>
<div class="line"><span class="lineno"> 74</span> <span class="comment">// 3rd test</span></div>
<div class="line"><span class="lineno"> 75</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;3rd test &quot;</span>;</div>
<div class="line"><span class="lineno"> 76</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array3 = {1, 1, 1, 1};</div>
<div class="line"><span class="lineno"> 77</span> assert(backtracking::subset_sum::number_of_subsets(1, array3) ==</div>
<div class="line"><span class="lineno"> 78</span> 4); <span class="comment">// here we are expecting 4 subsets which sum up to 1 i.e.</span></div>
<div class="line"><span class="lineno"> 79</span> <span class="comment">// {(1),(1),(1),(1)}</span></div>
<div class="line"><span class="lineno"> 80</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;passed&quot;</span> &lt;&lt; <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"> 81</span> </div>
<div class="line"><span class="lineno"> 82</span> <span class="comment">// 4th test</span></div>
<div class="line"><span class="lineno"> 83</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;4th test &quot;</span>;</div>
<div class="line"><span class="lineno"> 84</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array4 = {3, 3, 3, 3};</div>
<div class="line"><span class="lineno"> 85</span> assert(backtracking::subset_sum::number_of_subsets(6, array4) ==</div>
<div class="line"><span class="lineno"> 86</span> 6); <span class="comment">// here we are expecting 6 subsets which sum up to 6 i.e.</span></div>
<div class="line"><span class="lineno"> 87</span> <span class="comment">// {(3,3),(3,3),(3,3),(3,3),(3,3),(3,3)}</span></div>
<div class="line"><span class="lineno"> 88</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;passed&quot;</span> &lt;&lt; <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"> 89</span> </div>
<div class="line"><span class="lineno"> 90</span> <span class="comment">// Test 5</span></div>
<div class="line"><span class="lineno"> 91</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;5th test &quot;</span>;</div>
<div class="line"><span class="lineno"> 92</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array5 = {};</div>
<div class="line"><span class="lineno"> 93</span> assert(backtracking::subset_sum::number_of_subsets(6, array5) ==</div>
<div class="line"><span class="lineno"> 94</span> 0); <span class="comment">// here we are expecting 0 subsets which sum up to 6 i.e. we</span></div>
<div class="line"><span class="lineno"> 95</span> <span class="comment">// cannot select anything from an empty array</span></div>
<div class="line"><span class="lineno"> 96</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;passed&quot;</span> &lt;&lt; <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"> 97</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 58</span> {</div>
<div class="line"><span class="lineno"> 59</span> <span class="comment">// 1st test</span></div>
<div class="line"><span class="lineno"> 60</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;1st test &quot;</span>;</div>
<div class="line"><span class="lineno"> 61</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array1 = {-7, -3, -2, 5, 8}; <span class="comment">// input array</span></div>
<div class="line"><span class="lineno"> 62</span> assert(backtracking::subset_sum::number_of_subsets(0, array1) ==</div>
<div class="line"><span class="lineno"> 63</span> 2); <span class="comment">// first argument in subset_sum function is the required sum and</span></div>
<div class="line"><span class="lineno"> 64</span> <span class="comment">// second is the input array</span></div>
<div class="line"><span class="lineno"> 65</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;passed&quot;</span> &lt;&lt; <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"> 66</span> </div>
<div class="line"><span class="lineno"> 67</span> <span class="comment">// 2nd test</span></div>
<div class="line"><span class="lineno"> 68</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;2nd test &quot;</span>;</div>
<div class="line"><span class="lineno"> 69</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array2 = {1, 2, 3, 3};</div>
<div class="line"><span class="lineno"> 70</span> assert(backtracking::subset_sum::number_of_subsets(6, array2) ==</div>
<div class="line"><span class="lineno"> 71</span> 3); <span class="comment">// here we are expecting 3 subsets which sum up to 6 i.e.</span></div>
<div class="line"><span class="lineno"> 72</span> <span class="comment">// {(1,2,3),(1,2,3),(3,3)}</span></div>
<div class="line"><span class="lineno"> 73</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;passed&quot;</span> &lt;&lt; <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"> 74</span> </div>
<div class="line"><span class="lineno"> 75</span> <span class="comment">// 3rd test</span></div>
<div class="line"><span class="lineno"> 76</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;3rd test &quot;</span>;</div>
<div class="line"><span class="lineno"> 77</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array3 = {1, 1, 1, 1};</div>
<div class="line"><span class="lineno"> 78</span> assert(backtracking::subset_sum::number_of_subsets(1, array3) ==</div>
<div class="line"><span class="lineno"> 79</span> 4); <span class="comment">// here we are expecting 4 subsets which sum up to 1 i.e.</span></div>
<div class="line"><span class="lineno"> 80</span> <span class="comment">// {(1),(1),(1),(1)}</span></div>
<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::cout</a> &lt;&lt; <span class="stringliteral">&quot;passed&quot;</span> &lt;&lt; <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"> 82</span> </div>
<div class="line"><span class="lineno"> 83</span> <span class="comment">// 4th test</span></div>
<div class="line"><span class="lineno"> 84</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;4th test &quot;</span>;</div>
<div class="line"><span class="lineno"> 85</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array4 = {3, 3, 3, 3};</div>
<div class="line"><span class="lineno"> 86</span> assert(backtracking::subset_sum::number_of_subsets(6, array4) ==</div>
<div class="line"><span class="lineno"> 87</span> 6); <span class="comment">// here we are expecting 6 subsets which sum up to 6 i.e.</span></div>
<div class="line"><span class="lineno"> 88</span> <span class="comment">// {(3,3),(3,3),(3,3),(3,3),(3,3),(3,3)}</span></div>
<div class="line"><span class="lineno"> 89</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;passed&quot;</span> &lt;&lt; <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"> 90</span> </div>
<div class="line"><span class="lineno"> 91</span> <span class="comment">// Test 5</span></div>
<div class="line"><span class="lineno"> 92</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;5th test &quot;</span>;</div>
<div class="line"><span class="lineno"> 93</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array5 = {};</div>
<div class="line"><span class="lineno"> 94</span> assert(backtracking::subset_sum::number_of_subsets(6, array5) ==</div>
<div class="line"><span class="lineno"> 95</span> 0); <span class="comment">// here we are expecting 0 subsets which sum up to 6 i.e. we</span></div>
<div class="line"><span class="lineno"> 96</span> <span class="comment">// cannot select anything from an empty array</span></div>
<div class="line"><span class="lineno"> 97</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;passed&quot;</span> &lt;&lt; <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"> 98</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="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>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>