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<title>TheAlgorithms/C++: dynamic_programming/minimum_edit_distance.cpp File Reference</title>
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@@ -238,31 +238,32 @@ Algorithm</h3>
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<div class="line"><span class="lineno"> 97</span> std::vector<uint64_t>(</div>
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<div class="line"><span class="lineno"> 98</span> n +</div>
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<div class="line"><span class="lineno"> 99</span> 1)); </div>
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<div class="line"><span class="lineno"> 100</span> </div>
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<div class="line"><span class="lineno"> 100</span></div>
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<div class="line"><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"><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"><span class="lineno"> 106</span> <span class="keywordflow">if</span> (i == 0) {</div>
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<div class="line"><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"><span class="lineno"> 108</span> }</div>
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<div class="line"><span class="lineno"> 109</span> </div>
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<div class="line"><span class="lineno"> 109</span></div>
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<div class="line"><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"><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"><span class="lineno"> 114</span> }</div>
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<div class="line"><span class="lineno"> 115</span> </div>
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<div class="line"><span class="lineno"> 115</span></div>
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<div class="line"><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"><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"><span class="lineno"> 120</span> }</div>
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<div class="line"><span class="lineno"> 121</span> </div>
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<div class="line"><span class="lineno"> 121</span></div>
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<div class="line"><span class="lineno"> 124</span> <span class="keywordflow">else</span> {</div>
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<div class="line"><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"><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"><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"><span class="lineno"> 125</span> dp[i][j] = 1 + <a class="code hl_function" href="#a0138c226bd79ffe6d839c787cfc60347">min</a>(dp[i][j - 1], <span class="comment">// Insert</span></div>
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<div class="line"><span class="lineno"> 126</span> dp[i - 1][j], <span class="comment">// Remove</span></div>
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<div class="line"><span class="lineno"> 127</span> dp[i - 1][j - 1]); <span class="comment">// Replace</span></div>
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<div class="line"><span class="lineno"> 128</span> }</div>
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<div class="line"><span class="lineno"> 129</span> }</div>
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<div class="line"><span class="lineno"> 130</span> }</div>
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<div class="line"><span class="lineno"> 131</span> </div>
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<div class="line"><span class="lineno"> 132</span> <span class="keywordflow">return</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[m][n]; </div>
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<div class="line"><span class="lineno"> 132</span> <span class="keywordflow">return</span> dp[m][n]; </div>
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<div class="line"><span class="lineno"> 134</span>}</div>
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<div class="ttc" id="aminimum__edit__distance_8cpp_html_a0138c226bd79ffe6d839c787cfc60347"><div class="ttname"><a href="#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="../../da/d52/minimum__edit__distance_8cpp_source.html#l00068">minimum_edit_distance.cpp:68</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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@@ -379,7 +380,7 @@ z if <code>z</code> is the minimum value </dd></dl>
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</td>
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<td class="mlabels-right">
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<span class="mlabels"><span class="mlabel static">static</span></span> </td>
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@@ -412,7 +413,7 @@ z if <code>z</code> is the minimum value </dd></dl>
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<div class="line"><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"><span class="lineno"> 164</span> << std::endl;</div>
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<div class="line"><span class="lineno"> 165</span>}</div>
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<div class="ttc" id="aminimum__edit__distance_8cpp_html_ade2fcfe0359f3c7691bfaa04b14943e2"><div class="ttname"><a href="#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="../../da/d52/minimum__edit__distance_8cpp_source.html#l00092">minimum_edit_distance.cpp:92</a></div></div>
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<div class="ttc" id="aminimum__edit__distance_8cpp_html_ade2fcfe0359f3c7691bfaa04b14943e2"><div class="ttname"><a href="#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="../../da/d52/minimum__edit__distance_8cpp_source.html#l00092">minimum_edit_distance.cpp:92</a></div></div>
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@@ -422,7 +423,7 @@ z if <code>z</code> is the minimum value </dd></dl>
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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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