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@@ -114,12 +114,13 @@ $(function(){initNavTree('da/d52/minimum__edit__distance_8cpp.html','../../'); i
<p>Implementation of <a href="https://en.wikipedia.org/wiki/Edit_distance" target="_blank">Minimum Edit Distance</a> using Dynamic Programing.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;cstdint&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for minimum_edit_distance.cpp:</div>
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@@ -208,43 +209,48 @@ Algorithm</h3>
<p>If last characters are same, ignore last char and recur for remaining string</p>
<p>If the last character is different, consider all possibilities and find the minimum</p>
<p>returning the minimum cost of operations needed to convert str1 to str2</p>
<div class="fragment"><div class="line"><span class="lineno"> 88</span> {<span class="comment"></span></div>
<div class="line"><span class="lineno"> 89</span><span class="comment"> /// Create a table to store results of subproblems</span></div>
<div class="line"><span class="lineno"> 90</span><span class="comment"></span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;uint64_t&gt;</a>&gt;<a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>(m+1, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a>(n+1)); <span class="comment">/// creasting 2D vector dp to store the results of subproblems</span></div>
<div class="line"><span class="lineno"> 91</span><span class="comment"></span> </div>
<div class="line"><span class="lineno"> 92</span><span class="comment"> /// Fill d[][] in bottom up manner</span></div>
<div class="line"><span class="lineno"> 93</span><span class="comment"></span> <span class="keywordflow">for</span> (uint64_t i = 0; i &lt;= m; i++) {</div>
<div class="line"><span class="lineno"> 94</span> <span class="keywordflow">for</span> (uint64_t j = 0; j &lt;= n; j++) {<span class="comment"></span></div>
<div class="line"><span class="lineno"> 95</span><span class="comment"> /// If first string is empty, only option is to</span></div>
<div class="line"><span class="lineno"> 96</span><span class="comment"> /// insert all characters of second string</span></div>
<div class="line"><span class="lineno"> 97</span><span class="comment"></span> <span class="keywordflow">if</span> (i == 0) {</div>
<div class="line"><span class="lineno"> 98</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i][j] = j; <span class="comment">/// Minimum operations = j</span></div>
<div class="line"><span class="lineno"> 99</span> }</div>
<div class="fragment"><div class="line"><span class="lineno"> 93</span> {<span class="comment"></span></div>
<div class="line"><span class="lineno"> 94</span><span class="comment"> /// Create a table to store results of subproblems</span></div>
<div class="line"><span class="lineno"> 95</span><span class="comment"></span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;uint64_t&gt;</a>&gt; <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>(</div>
<div class="line"><span class="lineno"> 96</span> m + 1,</div>
<div class="line"><span class="lineno"> 97</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a>(</div>
<div class="line"><span class="lineno"> 98</span> n +</div>
<div class="line"><span class="lineno"> 99</span> 1)); <span class="comment">/// creasting 2D vector dp to store the results of subproblems</span></div>
<div class="line"><span class="lineno"> 100</span><span class="comment"></span> </div>
<div class="line"><span class="lineno"> 101</span><span class="comment"> /// If second string is empty, only option is to</span></div>
<div class="line"><span class="lineno"> 102</span><span class="comment"> /// remove all characters of second string</span></div>
<div class="line"><span class="lineno"> 103</span><span class="comment"></span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (j == 0) {</div>
<div class="line"><span class="lineno"> 104</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i][j] = i; <span class="comment">/// Minimum operations = i</span></div>
<div class="line"><span class="lineno"> 105</span> }</div>
<div class="line"><span class="lineno"> 106</span><span class="comment"></span> </div>
<div class="line"><span class="lineno"> 107</span><span class="comment"> /// If last characters are same, ignore last char</span></div>
<div class="line"><span class="lineno"> 108</span><span class="comment"> /// and recur for remaining string</span></div>
<div class="line"><span class="lineno"> 109</span><span class="comment"></span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (str1[i - 1] == str2[j - 1]) {</div>
<div class="line"><span class="lineno"> 110</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>
<div class="line"><span class="lineno"> 111</span> }</div>
<div class="line"><span class="lineno"> 112</span><span class="comment"></span> </div>
<div class="line"><span class="lineno"> 113</span><span class="comment"> /// If the last character is different, consider all</span></div>
<div class="line"><span class="lineno"> 114</span><span class="comment"> /// possibilities and find the minimum</span></div>
<div class="line"><span class="lineno"> 115</span><span class="comment"></span> <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 116</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i][j] = 1 + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">min</a>(<a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i][j - 1], <span class="comment">// Insert</span></div>
<div class="line"><span class="lineno"> 117</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i - 1][j], <span class="comment">// Remove</span></div>
<div class="line"><span class="lineno"> 118</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i - 1][j - 1]); <span class="comment">// Replace</span></div>
<div class="line"><span class="lineno"> 119</span> }</div>
<div class="line"><span class="lineno"> 120</span> }</div>
<div class="line"><span class="lineno"> 121</span> }</div>
<div class="line"><span class="lineno"> 122</span> </div>
<div class="line"><span class="lineno"> 123</span> <span class="keywordflow">return</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[m][n]; <span class="comment">/// returning the minimum cost of operations needed to convert str1 to str2</span></div>
<div class="line"><span class="lineno"> 124</span>}</div>
<div class="line"><span class="lineno"> 101</span><span class="comment"> /// Fill d[][] in bottom up manner</span></div>
<div class="line"><span class="lineno"> 102</span><span class="comment"></span> <span class="keywordflow">for</span> (uint64_t i = 0; i &lt;= m; i++) {</div>
<div class="line"><span class="lineno"> 103</span> <span class="keywordflow">for</span> (uint64_t j = 0; j &lt;= n; j++) {<span class="comment"></span></div>
<div class="line"><span class="lineno"> 104</span><span class="comment"> /// If first string is empty, only option is to</span></div>
<div class="line"><span class="lineno"> 105</span><span class="comment"> /// insert all characters of second string</span></div>
<div class="line"><span class="lineno"> 106</span><span class="comment"></span> <span class="keywordflow">if</span> (i == 0) {</div>
<div class="line"><span class="lineno"> 107</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i][j] = j; <span class="comment">/// Minimum operations = j</span></div>
<div class="line"><span class="lineno"> 108</span> }</div>
<div class="line"><span class="lineno"> 109</span><span class="comment"></span> </div>
<div class="line"><span class="lineno"> 110</span><span class="comment"> /// If second string is empty, only option is to</span></div>
<div class="line"><span class="lineno"> 111</span><span class="comment"> /// remove all characters of second string</span></div>
<div class="line"><span class="lineno"> 112</span><span class="comment"></span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (j == 0) {</div>
<div class="line"><span class="lineno"> 113</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i][j] = i; <span class="comment">/// Minimum operations = i</span></div>
<div class="line"><span class="lineno"> 114</span> }</div>
<div class="line"><span class="lineno"> 115</span><span class="comment"></span> </div>
<div class="line"><span class="lineno"> 116</span><span class="comment"> /// If last characters are same, ignore last char</span></div>
<div class="line"><span class="lineno"> 117</span><span class="comment"> /// and recur for remaining string</span></div>
<div class="line"><span class="lineno"> 118</span><span class="comment"></span> <span class="keywordflow">else</span> <span class="keywordflow">if</span> (str1[i - 1] == str2[j - 1]) {</div>
<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>
<div class="line"><span class="lineno"> 120</span> }</div>
<div class="line"><span class="lineno"> 121</span><span class="comment"></span> </div>
<div class="line"><span class="lineno"> 122</span><span class="comment"> /// If the last character is different, consider all</span></div>
<div class="line"><span class="lineno"> 123</span><span class="comment"> /// possibilities and find the minimum</span></div>
<div class="line"><span class="lineno"> 124</span><span class="comment"></span> <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 125</span> <a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i][j] = 1 + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">min</a>(<a class="code hl_namespace" href="../../df/d88/namespacedp.html">dp</a>[i][j - 1], <span class="comment">// Insert</span></div>
<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>
<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>
<div class="line"><span class="lineno"> 128</span> }</div>
<div class="line"><span class="lineno"> 129</span> }</div>
<div class="line"><span class="lineno"> 130</span> }</div>
<div class="line"><span class="lineno"> 131</span> </div>
<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]; <span class="comment">/// returning the minimum cost of operations needed to</span><span class="comment"></span></div>
<div class="line"><span class="lineno"> 133</span><span class="comment"> /// convert str1 to str2</span></div>
<div class="line"><span class="lineno"> 134</span><span class="comment"></span>}</div>
<div class="ttc" id="amin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a></div><div class="ttdeci">T min(T... args)</div></div>
<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> partition_problem.cpp:39</div></div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
@@ -279,11 +285,11 @@ Algorithm</h3>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 160</span> {</div>
<div class="line"><span class="lineno"> 161</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 162</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 163</span>}</div>
<div class="ttc" id="aminimum__edit__distance_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> minimum_edit_distance.cpp:132</div></div>
<div class="fragment"><div class="line"><span class="lineno"> 173</span> {</div>
<div class="line"><span class="lineno"> 174</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 175</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 176</span>}</div>
<div class="ttc" id="aminimum__edit__distance_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> minimum_edit_distance.cpp:142</div></div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
<div class="dyncontent">
@@ -333,17 +339,16 @@ z if <code>z</code> is the minimum value </dd></dl>
<p>returns x, if x is the minimum value</p>
<p>returns y, if y is the minimum value</p>
<p>returns z if z is the minimum value</p>
<div class="fragment"><div class="line"><span class="lineno"> 63</span> {</div>
<div class="line"><span class="lineno"> 64</span> <span class="keywordflow">if</span> (x &lt;= y &amp;&amp; x &lt;= z) {</div>
<div class="line"><span class="lineno"> 65</span> <span class="keywordflow">return</span> x; <span class="comment">/// returns x, if x is the minimum value</span></div>
<div class="line"><span class="lineno"> 66</span> }</div>
<div class="line"><span class="lineno"> 67</span> <span class="keywordflow">if</span> (y &lt;= x &amp;&amp; y &lt;= z) {</div>
<div class="line"><span class="lineno"> 68</span> <span class="keywordflow">return</span> y; <span class="comment">/// returns y, if y is the minimum value</span></div>
<div class="line"><span class="lineno"> 69</span> }</div>
<div class="line"><span class="lineno"> 70</span> <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 71</span> <span class="keywordflow">return</span> z; <span class="comment">/// returns z if z is the minimum value</span></div>
<div class="line"><span class="lineno"> 72</span> }</div>
<div class="line"><span class="lineno"> 73</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 68</span> {</div>
<div class="line"><span class="lineno"> 69</span> <span class="keywordflow">if</span> (x &lt;= y &amp;&amp; x &lt;= z) {</div>
<div class="line"><span class="lineno"> 70</span> <span class="keywordflow">return</span> x; <span class="comment">/// returns x, if x is the minimum value</span></div>
<div class="line"><span class="lineno"> 71</span> }</div>
<div class="line"><span class="lineno"> 72</span> <span class="keywordflow">if</span> (y &lt;= x &amp;&amp; y &lt;= z) {</div>
<div class="line"><span class="lineno"> 73</span> <span class="keywordflow">return</span> y; <span class="comment">/// returns y, if y is the minimum value</span></div>
<div class="line"><span class="lineno"> 74</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 75</span> <span class="keywordflow">return</span> z; <span class="comment">/// returns z if z is the minimum value</span></div>
<div class="line"><span class="lineno"> 76</span> }</div>
<div class="line"><span class="lineno"> 77</span>}</div>
</div><!-- fragment -->
</div>
</div>
@@ -372,31 +377,34 @@ z if <code>z</code> is the minimum value </dd></dl>
<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 132</span> {</div>
<div class="line"><span class="lineno"> 133</span> <span class="comment">// 1st test</span></div>
<div class="line"><span class="lineno"> 134</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> str1 = <span class="stringliteral">&quot;INTENTION&quot;</span>; <span class="comment">// Sample input of 1st string</span></div>
<div class="line"><span class="lineno"> 135</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> str2 = <span class="stringliteral">&quot;EXECUTION&quot;</span>; <span class="comment">// Sample input of 2nd string</span></div>
<div class="line"><span class="lineno"> 136</span> uint64_t expected_output1 = 5; <span class="comment">// Expected minimum cost</span></div>
<div class="line"><span class="lineno"> 137</span> uint64_t output1 = <a class="code hl_function" href="#ade2fcfe0359f3c7691bfaa04b14943e2">dynamic_programming::minimum_edit_distance::editDistDP</a>(</div>
<div class="line"><span class="lineno"> 138</span> str1, str2, str1.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">length</a>(), str2.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">length</a>()); <span class="comment">// calling the editDistDP function and storing the result on output1</span></div>
<div class="line"><span class="lineno"> 139</span> assert(output1 == expected_output1); <span class="comment">// comparing the output with the expected output</span></div>
<div class="line"><span class="lineno"> 140</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Minimum Number of Operations Required: &quot;</span> &lt;&lt; output1</div>
<div class="line"><span class="lineno"> 141</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 142</span> </div>
<div class="line"><span class="lineno"> 143</span> <span class="comment">// 2nd test</span></div>
<div class="line"><span class="lineno"> 144</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> str3 = <span class="stringliteral">&quot;SATURDAY&quot;</span>;</div>
<div class="line"><span class="lineno"> 145</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> str4 = <span class="stringliteral">&quot;SUNDAY&quot;</span>;</div>
<div class="line"><span class="lineno"> 146</span> uint64_t expected_output2 = 3;</div>
<div class="line"><span class="lineno"> 147</span> uint64_t output2 = <a class="code hl_function" href="#ade2fcfe0359f3c7691bfaa04b14943e2">dynamic_programming::minimum_edit_distance::editDistDP</a>(</div>
<div class="line"><span class="lineno"> 148</span> str3, str4, str3.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">length</a>(), str4.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">length</a>());</div>
<div class="line"><span class="lineno"> 149</span> assert(output2 == expected_output2);</div>
<div class="line"><span class="lineno"> 150</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Minimum Number of Operations Required: &quot;</span> &lt;&lt; output2</div>
<div class="line"><span class="lineno"> 151</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 152</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 142</span> {</div>
<div class="line"><span class="lineno"> 143</span> <span class="comment">// 1st test</span></div>
<div class="line"><span class="lineno"> 144</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> str1 = <span class="stringliteral">&quot;INTENTION&quot;</span>; <span class="comment">// Sample input of 1st string</span></div>
<div class="line"><span class="lineno"> 145</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> str2 = <span class="stringliteral">&quot;EXECUTION&quot;</span>; <span class="comment">// Sample input of 2nd string</span></div>
<div class="line"><span class="lineno"> 146</span> uint64_t expected_output1 = 5; <span class="comment">// Expected minimum cost</span></div>
<div class="line"><span class="lineno"> 147</span> uint64_t output1 = <a class="code hl_function" href="#ade2fcfe0359f3c7691bfaa04b14943e2">dynamic_programming::minimum_edit_distance::editDistDP</a>(</div>
<div class="line"><span class="lineno"> 148</span> str1, str2, str1.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">length</a>(),</div>
<div class="line"><span class="lineno"> 149</span> str2.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">length</a>()); <span class="comment">// calling the editDistDP function and storing the</span></div>
<div class="line"><span class="lineno"> 150</span> <span class="comment">// result on output1</span></div>
<div class="line"><span class="lineno"> 151</span> assert(output1 ==</div>
<div class="line"><span class="lineno"> 152</span> expected_output1); <span class="comment">// comparing the output with the expected output</span></div>
<div class="line"><span class="lineno"> 153</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Minimum Number of Operations Required: &quot;</span> &lt;&lt; output1</div>
<div class="line"><span class="lineno"> 154</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 155</span> </div>
<div class="line"><span class="lineno"> 156</span> <span class="comment">// 2nd test</span></div>
<div class="line"><span class="lineno"> 157</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> str3 = <span class="stringliteral">&quot;SATURDAY&quot;</span>;</div>
<div class="line"><span class="lineno"> 158</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> str4 = <span class="stringliteral">&quot;SUNDAY&quot;</span>;</div>
<div class="line"><span class="lineno"> 159</span> uint64_t expected_output2 = 3;</div>
<div class="line"><span class="lineno"> 160</span> uint64_t output2 = <a class="code hl_function" href="#ade2fcfe0359f3c7691bfaa04b14943e2">dynamic_programming::minimum_edit_distance::editDistDP</a>(</div>
<div class="line"><span class="lineno"> 161</span> str3, str4, str3.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">length</a>(), str4.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">length</a>());</div>
<div class="line"><span class="lineno"> 162</span> assert(output2 == expected_output2);</div>
<div class="line"><span class="lineno"> 163</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Minimum Number of Operations Required: &quot;</span> &lt;&lt; output2</div>
<div class="line"><span class="lineno"> 164</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 165</span>}</div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
<div class="ttc" id="abasic_string_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a></div></div>
<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
<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> minimum_edit_distance.cpp:88</div></div>
<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> minimum_edit_distance.cpp:92</div></div>
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">std::string::length</a></div><div class="ttdeci">T length(T... args)</div></div>
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