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<div class="headertitle"><div class="title">find_non_repeating_number.cpp</div></div>
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<div class="contents">
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<a href="../../d6/d38/find__non__repeating__number_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="l00017" name="l00017"></a><span class="lineno"> 17</span> </div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <cassert></span> </div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include <iostream></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="../../d7/d81/namespacebit__manipulation.html">bit_manipulation</a> {</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d2/da7/namespacefind__non__repeating__integer.html">find_non_repeating_integer</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="../../d6/d38/find__non__repeating__number_8cpp.html#ac5ca4c0be0967b4dd572507f50451ae3"> 39</a></span>int64_t <a class="code hl_namespace" href="../../d2/da7/namespacefind__non__repeating__integer.html">find_non_repeating_integer</a>(<span class="keyword">const</span> std::vector<int>& nums) {</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="comment">// The idea is based on the property of XOR.</span></div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="comment">// We know that 'a' XOR 'a' is '0' and '0' XOR 'b'</span></div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="comment">// is b.</span></div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="comment">// Using this, if we XOR all the elements of the array,</span></div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="comment">// the repeating elements will give '0' and this '0'</span></div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="comment">// with the single number will give the number itself.</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="keywordtype">int</span> _xor = 0;</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keywordtype">int</span>& num: nums) {</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> _xor ^= num;</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> }</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="keywordflow">return</span> _xor;</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span>}</div>
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</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span>} <span class="comment">// namespace find_non_repeating_integer</span></div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span>} <span class="comment">// namespace bit_manipulation</span></div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span></div>
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<div class="foldopen" id="foldopen00062" data-start="{" data-end="}">
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"><a class="line" href="../../d6/d38/find__non__repeating__number_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 62</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d6/d38/find__non__repeating__number_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="comment">// n = 10,2 return 14</span></div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> </div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> std::vector<int> nums_one{1, 1, 2, 2, 4, 5, 5};</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> std::vector<int> nums_two{203, 3434, 4545, 3434, 4545};</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> std::vector<int> nums_three{90, 1, 3, 90, 3};</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> </div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> assert(bit_manipulation::find_non_repeating_integer::</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <a class="code hl_namespace" href="../../d2/da7/namespacefind__non__repeating__integer.html">find_non_repeating_integer</a>(nums_one) ==</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> 4); <span class="comment">// 4 is non repeating</span></div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> assert(bit_manipulation::find_non_repeating_integer::</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <a class="code hl_namespace" href="../../d2/da7/namespacefind__non__repeating__integer.html">find_non_repeating_integer</a>(nums_two) ==</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> 203); <span class="comment">// 203 is non repeating</span></div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> assert(bit_manipulation::find_non_repeating_integer::</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <a class="code hl_namespace" href="../../d2/da7/namespacefind__non__repeating__integer.html">find_non_repeating_integer</a>(nums_three) ==</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> 1); <span class="comment">// 1 is non repeating</span></div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</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">"All test cases successfully passed!"</span> << std::endl;</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span>}</div>
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</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span></div>
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<div class="foldopen" id="foldopen00085" data-start="{" data-end="}">
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"><a class="line" href="../../d6/d38/find__non__repeating__number_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 85</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d6/d38/find__non__repeating__number_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <a class="code hl_function" href="../../d6/d38/find__non__repeating__number_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span>}</div>
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</div>
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<div class="ttc" id="afind__non__repeating__number_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d6/d38/find__non__repeating__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> <a href="#l00062">find_non_repeating_number.cpp:62</a></div></div>
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<div class="ttc" id="afind__non__repeating__number_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d6/d38/find__non__repeating__number_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="#l00085">find_non_repeating_number.cpp:85</a></div></div>
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<div class="ttc" id="anamespacebit__manipulation_html"><div class="ttname"><a href="../../d7/d81/namespacebit__manipulation.html">bit_manipulation</a></div><div class="ttdoc">for std::string</div></div>
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<div class="ttc" id="anamespacefind__non__repeating__integer_html"><div class="ttname"><a href="../../d2/da7/namespacefind__non__repeating__integer.html">find_non_repeating_integer</a></div><div class="ttdoc">Functions to find the non repeating integer in an array of repeating integers. Single Number</div></div>
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