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realstealthninja
@@ -4,7 +4,7 @@
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<title>TheAlgorithms/C++: dynamic_programming/minimum_edit_distance.cpp Source File</title>
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<link rel="icon" href="../../favicon.svg" type="image/x-icon" />
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@@ -60,7 +60,7 @@ window.MathJax = {
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/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&dn=expat.txt MIT */
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var searchBox = new SearchBox("searchBox", "../../search/",'.html');
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@@ -124,18 +124,21 @@ $(function(){initNavTree('da/d52/minimum__edit__distance_8cpp_source.html','../.
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<div class="headertitle"><div class="title">minimum_edit_distance.cpp</div></div>
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</div><!--header-->
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<div class="contents">
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<a href="../../da/d52/minimum__edit__distance_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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<a href="../../da/d52/minimum__edit__distance_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="l00036" name="l00036"></a><span class="lineno"> 36</span> </div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="preprocessor">#include <cassert></span> </div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span><span class="preprocessor">#include <cstdint></span> </div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="preprocessor">#include <iostream></span> </div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="preprocessor">#include <vector></span> </div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> </div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</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="keyword">namespace </span><a class="code hl_namespace" href="../../dd/d24/namespacedynamic__programming.html">dynamic_programming</a> {</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="l00048" name="l00048"></a><span class="lineno"> 48</span></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 class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span><span class="keyword">namespace </span>minimum_edit_distance {</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="l00056" name="l00056"></a><span class="lineno"> 56</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="../../da/d52/minimum__edit__distance_8cpp.html#a0138c226bd79ffe6d839c787cfc60347"> 68</a></span>uint64_t min(uint64_t x, uint64_t y, uint64_t z) {</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"><a class="line" href="../../da/d52/minimum__edit__distance_8cpp.html#a0138c226bd79ffe6d839c787cfc60347"> 68</a></span>uint64_t <a class="code hl_function" href="../../da/d52/minimum__edit__distance_8cpp.html#a0138c226bd79ffe6d839c787cfc60347">min</a>(uint64_t x, uint64_t y, uint64_t z) {</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keywordflow">if</span> (x <= y && x <= z) {</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordflow">return</span> x; </div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> }</div>
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@@ -146,32 +149,32 @@ $(function(){initNavTree('da/d52/minimum__edit__distance_8cpp_source.html','../.
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> }</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>
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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="l00078" name="l00078"></a><span class="lineno"> 78</span></div>
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<div class="foldopen" id="foldopen00092" data-start="{" data-end="}">
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"><a class="line" href="../../da/d52/minimum__edit__distance_8cpp.html#ade2fcfe0359f3c7691bfaa04b14943e2"> 92</a></span>uint64_t editDistDP(std::string str1, std::string str2, uint64_t m,</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"><a class="line" href="../../da/d52/minimum__edit__distance_8cpp.html#ade2fcfe0359f3c7691bfaa04b14943e2"> 92</a></span>uint64_t <a class="code hl_function" href="../../da/d52/minimum__edit__distance_8cpp.html#ade2fcfe0359f3c7691bfaa04b14943e2">editDistDP</a>(std::string str1, std::string str2, uint64_t m,</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> uint64_t n) {</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> std::vector<std::vector<uint64_t>> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>(</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> m + 1,</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> std::vector<uint64_t>(</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> n +</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> 1)); </div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> </div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span></div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="keywordflow">for</span> (uint64_t i = 0; i <= m; i++) {</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keywordflow">for</span> (uint64_t j = 0; j <= n; j++) {</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="keywordflow">if</span> (i == 0) {</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i][j] = j; </div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> }</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 class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span></div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (j == 0) {</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i][j] = i; </div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> }</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> </div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span></div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (str1[i - 1] == str2[j - 1]) {</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i][j] = <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i - 1][j - 1];</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> }</div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> </div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span></div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i][j] = 1 + min(<a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i][j - 1], <span class="comment">// Insert</span></div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i][j] = 1 + <a class="code hl_function" href="../../da/d52/minimum__edit__distance_8cpp.html#a0138c226bd79ffe6d839c787cfc60347">min</a>(<a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i][j - 1], <span class="comment">// Insert</span></div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i - 1][j], <span class="comment">// Remove</span></div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i - 1][j - 1]); <span class="comment">// Replace</span></div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> }</div>
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@@ -183,14 +186,14 @@ $(function(){initNavTree('da/d52/minimum__edit__distance_8cpp_source.html','../.
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</div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span>} <span class="comment">// namespace minimum_edit_distance</span></div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span>} <span class="comment">// namespace dynamic_programming</span></div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> </div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span></div>
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<div class="foldopen" id="foldopen00142" data-start="{" data-end="}">
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"><a class="line" href="../../da/d52/minimum__edit__distance_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 142</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../da/d52/minimum__edit__distance_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="comment">// 1st test</span></div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> std::string str1 = <span class="stringliteral">"INTENTION"</span>; <span class="comment">// Sample input of 1st string</span></div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> std::string str2 = <span class="stringliteral">"EXECUTION"</span>; <span class="comment">// Sample input of 2nd string</span></div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> uint64_t expected_output1 = 5; <span class="comment">// Expected minimum cost</span></div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> uint64_t output1 = dynamic_programming::minimum_edit_distance::editDistDP(</div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> uint64_t output1 = <a class="code hl_function" href="../../da/d52/minimum__edit__distance_8cpp.html#ade2fcfe0359f3c7691bfaa04b14943e2">dynamic_programming::minimum_edit_distance::editDistDP</a>(</div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> str1, str2, str1.length(),</div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> str2.length()); <span class="comment">// calling the editDistDP function and storing the</span></div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="comment">// result on output1</span></div>
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@@ -203,14 +206,14 @@ $(function(){initNavTree('da/d52/minimum__edit__distance_8cpp_source.html','../.
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> std::string str3 = <span class="stringliteral">"SATURDAY"</span>;</div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> std::string str4 = <span class="stringliteral">"SUNDAY"</span>;</div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> uint64_t expected_output2 = 3;</div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> uint64_t output2 = dynamic_programming::minimum_edit_distance::editDistDP(</div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> uint64_t output2 = <a class="code hl_function" href="../../da/d52/minimum__edit__distance_8cpp.html#ade2fcfe0359f3c7691bfaa04b14943e2">dynamic_programming::minimum_edit_distance::editDistDP</a>(</div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> str3, str4, str3.length(), str4.length());</div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> assert(output2 == expected_output2);</div>
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> std::cout << <span class="stringliteral">"Minimum Number of Operations Required: "</span> << output2</div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> << std::endl;</div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span>}</div>
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</div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> </div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span></div>
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<div class="foldopen" id="foldopen00173" data-start="{" data-end="}">
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"><a class="line" href="../../da/d52/minimum__edit__distance_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97"> 173</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a>(<span class="keywordtype">int</span> argc, <span class="keywordtype">char</span> *argv[]) {</div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <a class="code hl_function" href="../../da/d52/minimum__edit__distance_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
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@@ -218,7 +221,9 @@ $(function(){initNavTree('da/d52/minimum__edit__distance_8cpp_source.html','../.
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span>}</div>
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</div>
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<div class="ttc" id="agenerate__parentheses_8cpp_html_gae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="../../dd/d1e/generate__parentheses_8cpp_source.html#l00110">generate_parentheses.cpp:110</a></div></div>
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<div class="ttc" id="aminimum__edit__distance_8cpp_html_a0138c226bd79ffe6d839c787cfc60347"><div class="ttname"><a href="../../da/d52/minimum__edit__distance_8cpp.html#a0138c226bd79ffe6d839c787cfc60347">dynamic_programming::minimum_edit_distance::min</a></div><div class="ttdeci">uint64_t min(uint64_t x, uint64_t y, uint64_t z)</div><div class="ttdoc">Takes input of the cost of three operations: Insert, Replace and Delete and return the minimum cost a...</div><div class="ttdef"><b>Definition</b> <a href="#l00068">minimum_edit_distance.cpp:68</a></div></div>
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<div class="ttc" id="aminimum__edit__distance_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../da/d52/minimum__edit__distance_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="#l00142">minimum_edit_distance.cpp:142</a></div></div>
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<div class="ttc" id="aminimum__edit__distance_8cpp_html_ade2fcfe0359f3c7691bfaa04b14943e2"><div class="ttname"><a href="../../da/d52/minimum__edit__distance_8cpp.html#ade2fcfe0359f3c7691bfaa04b14943e2">dynamic_programming::minimum_edit_distance::editDistDP</a></div><div class="ttdeci">uint64_t editDistDP(std::string str1, std::string str2, uint64_t m, uint64_t n)</div><div class="ttdoc">Calculates and stores the result of all the sub-problems, so that we don't have to recur to compute t...</div><div class="ttdef"><b>Definition</b> <a href="#l00092">minimum_edit_distance.cpp:92</a></div></div>
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<div class="ttc" id="anamespacedp_html"><div class="ttname"><a href="../../df/d88/namespacedp.html">dp</a></div><div class="ttdoc">for std::vector</div><div class="ttdef"><b>Definition</b> <a href="../../de/d8c/partition__problem_8cpp_source.html#l00039">partition_problem.cpp:39</a></div></div>
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<div class="ttc" id="anamespacedynamic__programming_html"><div class="ttname"><a href="../../dd/d24/namespacedynamic__programming.html">dynamic_programming</a></div><div class="ttdoc">Dynamic Programming algorithms.</div></div>
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</div><!-- fragment --></div><!-- contents -->
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@@ -227,7 +232,7 @@ $(function(){initNavTree('da/d52/minimum__edit__distance_8cpp_source.html','../.
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<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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<ul>
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<li class="navelem"><a class="el" href="../../dir_8a20dd5bfd5341a725342bf72b6b686f.html">dynamic_programming</a></li><li class="navelem"><a class="el" href="../../da/d52/minimum__edit__distance_8cpp.html">minimum_edit_distance.cpp</a></li>
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<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.12.0 </li>
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