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<div class="headertitle"><div class="title">subarray_sum.cpp</div></div>
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<div class="contents">
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<a href="../../df/d94/subarray__sum_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> </div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include <cassert></span> </div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <cstdint></span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <iostream></span> </div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include <unordered_map></span> </div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include <vector></span> </div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span></div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../db/dc0/namespacebacktracking.html">backtracking</a> {</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../df/d74/namespacesubarray__sum.html">subarray_sum</a> {</div>
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<div class="foldopen" id="foldopen00039" data-start="{" data-end="}">
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"><a class="line" href="../../df/d94/subarray__sum_8cpp.html#af5687bbd9faf927fbd363c71e0baba5e"> 39</a></span>uint64_t <a class="code hl_namespace" href="../../df/d74/namespacesubarray__sum.html">subarray_sum</a>(int64_t sum, <span class="keyword">const</span> std::vector<int64_t> &in_arr) {</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> int64_t nelement = in_arr.size();</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> int64_t count_of_subset = 0;</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> int64_t current_sum = 0;</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> std::unordered_map<int64_t, int64_t></div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> sumarray; <span class="comment">// to store the subarrays count</span></div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="comment">// frequency having some sum value</span></div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> </div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">for</span> (int64_t i = 0; i < nelement; i++) {</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> current_sum += in_arr[i];</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> </div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keywordflow">if</span> (current_sum == sum) {</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> count_of_subset++;</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> }</div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="comment">// If in case current_sum is greater than the required sum</span></div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordflow">if</span> (sumarray.find(current_sum - sum) != sumarray.end()) {</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> count_of_subset += (sumarray[current_sum - sum]);</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> }</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> sumarray[current_sum]++;</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> }</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordflow">return</span> count_of_subset;</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span>}</div>
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</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span>} <span class="comment">// namespace subarray_sum</span></div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span>} <span class="comment">// namespace backtracking</span></div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span></div>
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<div class="foldopen" id="foldopen00068" data-start="{" data-end="}">
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"><a class="line" href="../../df/d94/subarray__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 68</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../df/d94/subarray__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="comment">// 1st test</span></div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> std::cout << <span class="stringliteral">"1st test "</span>;</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> std::vector<int64_t> array1 = {-7, -3, -2, 5, 8}; <span class="comment">// input array</span></div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> assert(</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <a class="code hl_function" href="../../df/d94/subarray__sum_8cpp.html#af5687bbd9faf927fbd363c71e0baba5e">backtracking::subarray_sum::subarray_sum</a>(0, array1) ==</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> 1); <span class="comment">// first argument in subarray_sum function is the required sum and</span></div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="comment">// second is the input array, answer is the subarray {(-3,-2,5)}</span></div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> std::cout << <span class="stringliteral">"passed"</span> << std::endl;</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> </div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="comment">// 2nd test</span></div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> std::cout << <span class="stringliteral">"2nd test "</span>;</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> std::vector<int64_t> array2 = {1, 2, 3, 3};</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> assert(<a class="code hl_function" href="../../df/d94/subarray__sum_8cpp.html#af5687bbd9faf927fbd363c71e0baba5e">backtracking::subarray_sum::subarray_sum</a>(6, array2) ==</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> 2); <span class="comment">// here we are expecting 2 subsets which sum up to 6 i.e.</span></div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="comment">// {(1,2,3),(3,3)}</span></div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> std::cout << <span class="stringliteral">"passed"</span> << std::endl;</div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> </div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="comment">// 3rd test</span></div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> std::cout << <span class="stringliteral">"3rd test "</span>;</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> std::vector<int64_t> array3 = {1, 1, 1, 1};</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> assert(<a class="code hl_function" href="../../df/d94/subarray__sum_8cpp.html#af5687bbd9faf927fbd363c71e0baba5e">backtracking::subarray_sum::subarray_sum</a>(1, array3) ==</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> 4); <span class="comment">// here we are expecting 4 subsets which sum up to 1 i.e.</span></div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="comment">// {(1),(1),(1),(1)}</span></div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> std::cout << <span class="stringliteral">"passed"</span> << std::endl;</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> </div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="comment">// 4rd test</span></div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> std::cout << <span class="stringliteral">"4th test "</span>;</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> std::vector<int64_t> array4 = {3, 3, 3, 3};</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> assert(<a class="code hl_function" href="../../df/d94/subarray__sum_8cpp.html#af5687bbd9faf927fbd363c71e0baba5e">backtracking::subarray_sum::subarray_sum</a>(6, array4) ==</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> 3); <span class="comment">// here we are expecting 3 subsets which sum up to 6 i.e.</span></div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="comment">// {(3,3),(3,3),(3,3)}</span></div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> std::cout << <span class="stringliteral">"passed"</span> << std::endl;</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> </div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="comment">// 5th test</span></div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> std::cout << <span class="stringliteral">"5th test "</span>;</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> std::vector<int64_t> array5 = {};</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> assert(<a class="code hl_function" href="../../df/d94/subarray__sum_8cpp.html#af5687bbd9faf927fbd363c71e0baba5e">backtracking::subarray_sum::subarray_sum</a>(6, array5) ==</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> 0); <span class="comment">// here we are expecting 0 subsets which sum up to 6 i.e. we</span></div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="comment">// cannot select anything from an empty array</span></div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> std::cout << <span class="stringliteral">"passed"</span> << std::endl;</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span>}</div>
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</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span></div>
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<div class="foldopen" id="foldopen00115" data-start="{" data-end="}">
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"><a class="line" href="../../df/d94/subarray__sum_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 115</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../df/d94/subarray__sum_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <a class="code hl_function" href="../../df/d94/subarray__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span>}</div>
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</div>
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<div class="ttc" id="anamespacebacktracking_html"><div class="ttname"><a href="../../db/dc0/namespacebacktracking.html">backtracking</a></div><div class="ttdoc">for vector container</div></div>
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<div class="ttc" id="anamespacesubarray__sum_html"><div class="ttname"><a href="../../df/d74/namespacesubarray__sum.html">subarray_sum</a></div><div class="ttdoc">Functions for the Subset sum implementation.</div></div>
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<div class="ttc" id="asubarray__sum_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../df/d94/subarray__sum_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> <a href="#l00068">subarray_sum.cpp:68</a></div></div>
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<div class="ttc" id="asubarray__sum_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../df/d94/subarray__sum_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="#l00115">subarray_sum.cpp:115</a></div></div>
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<div class="ttc" id="asubarray__sum_8cpp_html_af5687bbd9faf927fbd363c71e0baba5e"><div class="ttname"><a href="../../df/d94/subarray__sum_8cpp.html#af5687bbd9faf927fbd363c71e0baba5e">backtracking::subarray_sum::subarray_sum</a></div><div class="ttdeci">uint64_t subarray_sum(int64_t sum, const std::vector< int64_t > &in_arr)</div><div class="ttdoc">The main function that implements the count of the subarrays.</div><div class="ttdef"><b>Definition</b> <a href="#l00039">subarray_sum.cpp:39</a></div></div>
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