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<div class="headertitle"><div class="title">binary_addition.cpp</div></div>
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<a href="../../d9/d1f/binary__addition_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 <algorithm></span> </div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include <cassert></span> </div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include <iostream></span> </div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include <string></span> </div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span></div>
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<div class="foldopen" id="foldopen00027" data-start="{" data-end="}">
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"><a class="line" href="../../d2/d90/namespacegreedy__algorithms.html"> 27</a></span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d2/d90/namespacegreedy__algorithms.html">greedy_algorithms</a> {</div>
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<div class="foldopen" id="foldopen00031" data-start="{" data-end="};">
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"><a class="line" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html"> 31</a></span><span class="keyword">class </span><a class="code hl_class" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html">BinaryAddition</a> {</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">public</span>:</div>
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<div class="foldopen" id="foldopen00040" data-start="{" data-end="}">
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"><a class="line" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527"> 40</a></span> std::string <a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527">addBinary</a>(<span class="keyword">const</span> std::string& a, <span class="keyword">const</span> std::string& b) {</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordflow">if</span> (!<a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a4cfb595ba80795a9efae0e3f6f5c34d2">isValidBinaryString</a>(a) || !<a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a4cfb595ba80795a9efae0e3f6f5c34d2">isValidBinaryString</a>(b)) {</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordflow">return</span> <span class="stringliteral">""</span>; <span class="comment">// Return empty string if input contains non-binary</span></div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="comment">// characters</span></div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> }</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> </div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> std::string result;</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordtype">int</span> carry = 0;</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordtype">int</span> maxLength = std::max(a.size(), b.size());</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="comment">// Traverse both strings from the end to the beginning</span></div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < maxLength; ++i) {</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="comment">// Get the current bits from both strings, if available</span></div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keywordtype">int</span> bitA = (i < a.size()) ? (a[a.size() - 1 - i] - <span class="charliteral">'0'</span>) : 0;</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordtype">int</span> bitB = (i < b.size()) ? (b[b.size() - 1 - i] - <span class="charliteral">'0'</span>) : 0;</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> </div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="comment">// Calculate the sum of bits and carry</span></div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordtype">int</span> sum = bitA + bitB + carry;</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> carry = sum / 2; <span class="comment">// Determine the carry for the next bit</span></div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> result.push_back((sum % 2) +</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="charliteral">'0'</span>); <span class="comment">// Append the sum's current bit to result</span></div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> }</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="keywordflow">if</span> (carry) {</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> result.push_back(<span class="charliteral">'1'</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::reverse(result.begin(), result.end());</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordflow">return</span> result;</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> }</div>
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</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> <span class="keyword">private</span>:</div>
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<div class="foldopen" id="foldopen00075" data-start="{" data-end="}">
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"><a class="line" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a4cfb595ba80795a9efae0e3f6f5c34d2"> 75</a></span> <span class="keywordtype">bool</span> <a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a4cfb595ba80795a9efae0e3f6f5c34d2">isValidBinaryString</a>(<span class="keyword">const</span> std::string& str)<span class="keyword"> const </span>{</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keywordflow">return</span> std::all_of(str.begin(), str.end(),</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> [](<span class="keywordtype">char</span> c) { return c == <span class="stringliteral">'0'</span> || c == <span class="stringliteral">'1'</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>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span>};</div>
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</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span>} <span class="comment">// namespace greedy_algorithms</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="foldopen00086" data-start="{" data-end="}">
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"><a class="line" href="../../d9/d1f/binary__addition_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e"> 86</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d9/d1f/binary__addition_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>() {</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <a class="code hl_class" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html">greedy_algorithms::BinaryAddition</a> binaryAddition;</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 class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="comment">// Valid binary string tests</span></div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> assert(binaryAddition.<a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527">addBinary</a>(<span class="stringliteral">"1010"</span>, <span class="stringliteral">"1101"</span>) == <span class="stringliteral">"10111"</span>);</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> assert(binaryAddition.<a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527">addBinary</a>(<span class="stringliteral">"1111"</span>, <span class="stringliteral">"1111"</span>) == <span class="stringliteral">"11110"</span>);</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> assert(binaryAddition.<a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527">addBinary</a>(<span class="stringliteral">"101"</span>, <span class="stringliteral">"11"</span>) == <span class="stringliteral">"1000"</span>);</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> assert(binaryAddition.<a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527">addBinary</a>(<span class="stringliteral">"0"</span>, <span class="stringliteral">"0"</span>) == <span class="stringliteral">"0"</span>);</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> assert(binaryAddition.<a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527">addBinary</a>(<span class="stringliteral">"1111"</span>, <span class="stringliteral">"1111"</span>) == <span class="stringliteral">"11110"</span>);</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> assert(binaryAddition.<a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527">addBinary</a>(<span class="stringliteral">"0"</span>, <span class="stringliteral">"10101"</span>) == <span class="stringliteral">"10101"</span>);</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> assert(binaryAddition.<a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527">addBinary</a>(<span class="stringliteral">"10101"</span>, <span class="stringliteral">"0"</span>) == <span class="stringliteral">"10101"</span>);</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> assert(binaryAddition.<a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527">addBinary</a>(<span class="stringliteral">"101010101010101010101010101010"</span>,</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="stringliteral">"110110110110110110110110110110"</span>) ==</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="stringliteral">"1100001100001100001100001100000"</span>);</div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> assert(binaryAddition.<a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527">addBinary</a>(<span class="stringliteral">"1"</span>, <span class="stringliteral">"11111111"</span>) == <span class="stringliteral">"100000000"</span>);</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> assert(binaryAddition.<a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527">addBinary</a>(<span class="stringliteral">"10101010"</span>, <span class="stringliteral">"01010101"</span>) == <span class="stringliteral">"11111111"</span>);</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> </div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="comment">// Invalid binary string tests (should return empty string)</span></div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> assert(binaryAddition.<a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527">addBinary</a>(<span class="stringliteral">"10102"</span>, <span class="stringliteral">"1101"</span>) == <span class="stringliteral">""</span>);</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> assert(binaryAddition.<a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527">addBinary</a>(<span class="stringliteral">"ABC"</span>, <span class="stringliteral">"1101"</span>) == <span class="stringliteral">""</span>);</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> assert(binaryAddition.<a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527">addBinary</a>(<span class="stringliteral">"1010"</span>, <span class="stringliteral">"1102"</span>) == <span class="stringliteral">""</span>);</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> assert(binaryAddition.<a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527">addBinary</a>(<span class="stringliteral">"111"</span>, <span class="stringliteral">"1x1"</span>) == <span class="stringliteral">""</span>);</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> assert(binaryAddition.<a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527">addBinary</a>(<span class="stringliteral">"1x1"</span>, <span class="stringliteral">"111"</span>) == <span class="stringliteral">""</span>);</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> assert(binaryAddition.<a class="code hl_function" href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527">addBinary</a>(<span class="stringliteral">"1234"</span>, <span class="stringliteral">"1101"</span>) == <span class="stringliteral">""</span>);</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="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span></div>
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<div class="foldopen" id="foldopen00116" data-start="{" data-end="}">
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"><a class="line" href="../../d9/d1f/binary__addition_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 116</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d9/d1f/binary__addition_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <a class="code hl_function" href="../../d9/d1f/binary__addition_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>(); </div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span>}</div>
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<div class="ttc" id="abinary__addition_8cpp_html_a483bb8ccf42aaf7375a83e91490eda1e"><div class="ttname"><a href="../../d9/d1f/binary__addition_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a></div><div class="ttdeci">static void tests()</div><div class="ttdoc">run self test implementation.</div><div class="ttdef"><b>Definition</b> <a href="#l00086">binary_addition.cpp:86</a></div></div>
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<div class="ttc" id="abinary__addition_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d9/d1f/binary__addition_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="#l00116">binary_addition.cpp:116</a></div></div>
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<div class="ttc" id="aclassgreedy__algorithms_1_1_binary_addition_html"><div class="ttname"><a href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html">greedy_algorithms::BinaryAddition</a></div><div class="ttdoc">A class to perform binary addition of two binary strings.</div><div class="ttdef"><b>Definition</b> <a href="#l00031">binary_addition.cpp:31</a></div></div>
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<div class="ttc" id="aclassgreedy__algorithms_1_1_binary_addition_html_a4cfb595ba80795a9efae0e3f6f5c34d2"><div class="ttname"><a href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a4cfb595ba80795a9efae0e3f6f5c34d2">greedy_algorithms::BinaryAddition::isValidBinaryString</a></div><div class="ttdeci">bool isValidBinaryString(const std::string &str) const</div><div class="ttdoc">Validates whether a string contains only binary characters (0 or 1).</div><div class="ttdef"><b>Definition</b> <a href="#l00075">binary_addition.cpp:75</a></div></div>
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<div class="ttc" id="aclassgreedy__algorithms_1_1_binary_addition_html_a801fd1ec5cda76b0bb82cbf23ed4d527"><div class="ttname"><a href="../../de/df6/classgreedy__algorithms_1_1_binary_addition.html#a801fd1ec5cda76b0bb82cbf23ed4d527">greedy_algorithms::BinaryAddition::addBinary</a></div><div class="ttdeci">std::string addBinary(const std::string &a, const std::string &b)</div><div class="ttdoc">Adds two binary strings and returns the result as a binary string.</div><div class="ttdef"><b>Definition</b> <a href="#l00040">binary_addition.cpp:40</a></div></div>
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<div class="ttc" id="anamespacegreedy__algorithms_html"><div class="ttname"><a href="../../d2/d90/namespacegreedy__algorithms.html">greedy_algorithms</a></div><div class="ttdoc">for string class</div><div class="ttdef"><b>Definition</b> <a href="#l00027">binary_addition.cpp:27</a></div></div>
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