diff --git a/annotated.html b/annotated.html
index de0e6def7..3e0d9d225 100644
--- a/annotated.html
+++ b/annotated.html
@@ -141,7 +141,7 @@ $(document).ready(function(){initNavTree('annotated.html',''); initResizable();
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 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/classes.html b/classes.html
index 7e95cf4b2..5882949d3 100644
--- a/classes.html
+++ b/classes.html
@@ -183,7 +183,7 @@ $(document).ready(function(){initNavTree('classes.html',''); initResizable(); })
 <!-- start footer part -->
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d0/d01/smallest__circle_8cpp.html b/d0/d01/smallest__circle_8cpp.html
index a0f7fef2c..637dee24b 100644
--- a/d0/d01/smallest__circle_8cpp.html
+++ b/d0/d01/smallest__circle_8cpp.html
@@ -563,7 +563,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_9510827d0b234b3cc54b29892f217477.html">others</a></li><li class="navelem"><a class="el" href="../../d0/d01/smallest__circle_8cpp.html">smallest_circle.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d0/d08/realtime__stats_8cpp.html b/d0/d08/realtime__stats_8cpp.html
index 1fc03605a..b833abcc6 100644
--- a/d0/d08/realtime__stats_8cpp.html
+++ b/d0/d08/realtime__stats_8cpp.html
@@ -304,7 +304,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_296d53ceaeaa7e099814a6def439fe8a.html">math</a></li><li class="navelem"><a class="el" href="../../d0/d08/realtime__stats_8cpp.html">realtime_stats.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d0/d0d/structmst-members.html b/d0/d0d/structmst-members.html
index 2e256adf5..990fe3e45 100644
--- a/d0/d0d/structmst-members.html
+++ b/d0/d0d/structmst-members.html
@@ -105,7 +105,7 @@ $(document).ready(function(){initNavTree('d1/d77/structmst.html','../../'); init
 <!-- start footer part -->
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d0/d55/classcll-members.html b/d0/d55/classcll-members.html
index 0cc64d5d1..6c33d7105 100644
--- a/d0/d55/classcll-members.html
+++ b/d0/d55/classcll-members.html
@@ -113,7 +113,7 @@ $(document).ready(function(){initNavTree('d5/d15/classcll.html','../../'); initR
 <!-- start footer part -->
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d0/d78/classstatistics_1_1stats__computer1-members.html b/d0/d78/classstatistics_1_1stats__computer1-members.html
index 90959db9a..3c2845130 100644
--- a/d0/d78/classstatistics_1_1stats__computer1-members.html
+++ b/d0/d78/classstatistics_1_1stats__computer1-members.html
@@ -111,7 +111,7 @@ $(document).ready(function(){initNavTree('d7/d7c/classstatistics_1_1stats__compu
 <!-- start footer part -->
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d0/da2/number__of__positive__divisors_8cpp.html b/d0/da2/number__of__positive__divisors_8cpp.html
index d629c1145..280579c29 100644
--- a/d0/da2/number__of__positive__divisors_8cpp.html
+++ b/d0/da2/number__of__positive__divisors_8cpp.html
@@ -232,7 +232,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_296d53ceaeaa7e099814a6def439fe8a.html">math</a></li><li class="navelem"><a class="el" href="../../d0/da2/number__of__positive__divisors_8cpp.html">number_of_positive_divisors.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d0/db6/non__recursive__merge__sort_8cpp.html b/d0/db6/non__recursive__merge__sort_8cpp.html
index 3a5300836..b8ded7a72 100644
--- a/d0/db6/non__recursive__merge__sort_8cpp.html
+++ b/d0/db6/non__recursive__merge__sort_8cpp.html
@@ -144,7 +144,7 @@ int&#160;</td><td class="memItemRight" valign="bottom"><b>main</b> (int argc, ch
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_bb1b521853a9c46347182a9d10420771.html">sorting</a></li><li class="navelem"><a class="el" href="../../d0/db6/non__recursive__merge__sort_8cpp.html">non_recursive_merge_sort.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d0/dc4/struct_point-members.html b/d0/dc4/struct_point-members.html
index c0b08173a..7818e466b 100644
--- a/d0/dc4/struct_point-members.html
+++ b/d0/dc4/struct_point-members.html
@@ -107,7 +107,7 @@ $(document).ready(function(){initNavTree('d8/dc8/struct_point.html','../../'); i
 <!-- start footer part -->
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d0/dd2/class_queue___array.html b/d0/dd2/class_queue___array.html
index e2e2bbccd..3d23d2c3e 100644
--- a/d0/dd2/class_queue___array.html
+++ b/d0/dd2/class_queue___array.html
@@ -139,7 +139,7 @@ int&#160;</td><td class="memItemRight" valign="bottom"><b>size</b></td></tr>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../d0/dd2/class_queue___array.html">Queue_Array</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d0/de2/gaussian__elimination_8cpp.html b/d0/de2/gaussian__elimination_8cpp.html
index 74e855726..aa3dd5e2a 100644
--- a/d0/de2/gaussian__elimination_8cpp.html
+++ b/d0/de2/gaussian__elimination_8cpp.html
@@ -217,7 +217,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_9c6faab82c22511b50177aa2e38e2780.html">numerical_methods</a></li><li class="navelem"><a class="el" href="../../d0/de2/gaussian__elimination_8cpp.html">gaussian_elimination.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d0/dff/structlinkedlist.html b/d0/dff/structlinkedlist.html
index e526d2d5d..bd24baf72 100644
--- a/d0/dff/structlinkedlist.html
+++ b/d0/dff/structlinkedlist.html
@@ -122,7 +122,7 @@ int&#160;</td><td class="memItemRight" valign="bottom"><b>data</b></td></tr>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../d0/dff/structlinkedlist.html">linkedlist</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d1/d07/class_solution-members.html b/d1/d07/class_solution-members.html
index aecff7ca4..cbaf43011 100644
--- a/d1/d07/class_solution-members.html
+++ b/d1/d07/class_solution-members.html
@@ -110,7 +110,7 @@ $(document).ready(function(){initNavTree('dd/d4f/class_solution.html','../../');
 <!-- start footer part -->
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d1/d11/gcd__of__n__numbers_8cpp.html b/d1/d11/gcd__of__n__numbers_8cpp.html
index c298a24ca..797b1a55a 100644
--- a/d1/d11/gcd__of__n__numbers_8cpp.html
+++ b/d1/d11/gcd__of__n__numbers_8cpp.html
@@ -214,7 +214,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_296d53ceaeaa7e099814a6def439fe8a.html">math</a></li><li class="navelem"><a class="el" href="../../d1/d11/gcd__of__n__numbers_8cpp.html">gcd_of_n_numbers.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d1/d1d/class_graph-members.html b/d1/d1d/class_graph-members.html
index 830d5f223..08d0624eb 100644
--- a/d1/d1d/class_graph-members.html
+++ b/d1/d1d/class_graph-members.html
@@ -144,7 +144,7 @@ $(document).ready(function(){initNavTree('da/d9a/class_graph.html','../../'); in
 <!-- start footer part -->
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d1/d21/quick__sort_8cpp.html b/d1/d21/quick__sort_8cpp.html
index b6e009184..3373532d2 100644
--- a/d1/d21/quick__sort_8cpp.html
+++ b/d1/d21/quick__sort_8cpp.html
@@ -191,7 +191,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_bb1b521853a9c46347182a9d10420771.html">sorting</a></li><li class="navelem"><a class="el" href="../../d1/d21/quick__sort_8cpp.html">quick_sort.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d1/d76/buzz__number_8cpp.html b/d1/d76/buzz__number_8cpp.html
index 63efb072e..73714ca4c 100644
--- a/d1/d76/buzz__number_8cpp.html
+++ b/d1/d76/buzz__number_8cpp.html
@@ -160,7 +160,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_9510827d0b234b3cc54b29892f217477.html">others</a></li><li class="navelem"><a class="el" href="../../d1/d76/buzz__number_8cpp.html">buzz_number.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d1/d77/structmst.html b/d1/d77/structmst.html
index afb59476f..1df287cd4 100644
--- a/d1/d77/structmst.html
+++ b/d1/d77/structmst.html
@@ -119,7 +119,7 @@ int&#160;</td><td class="memItemRight" valign="bottom"><b>near</b></td></tr>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../d1/d77/structmst.html">mst</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d1/db3/structcompare.html b/d1/db3/structcompare.html
index fc2c71974..336c362f1 100644
--- a/d1/db3/structcompare.html
+++ b/d1/db3/structcompare.html
@@ -113,7 +113,7 @@ bool&#160;</td><td class="memItemRight" valign="bottom"><b>operator()</b> (<a cl
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../d1/db3/structcompare.html">compare</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d1/dc2/classstack.html b/d1/dc2/classstack.html
index 67220684a..cc0dae6e8 100644
--- a/d1/dc2/classstack.html
+++ b/d1/dc2/classstack.html
@@ -511,7 +511,7 @@ template&lt;class Type &gt; </div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../d1/dc2/classstack.html">stack</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d1/df2/structnode-members.html b/d1/df2/structnode-members.html
index e4065906d..ff7a04bce 100644
--- a/d1/df2/structnode-members.html
+++ b/d1/df2/structnode-members.html
@@ -118,7 +118,7 @@ $(document).ready(function(){initNavTree('d5/da1/structnode.html','../../'); ini
 <!-- start footer part -->
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d1/df3/hash__search_8cpp.html b/d1/df3/hash__search_8cpp.html
index 41407137f..0a1866015 100644
--- a/d1/df3/hash__search_8cpp.html
+++ b/d1/df3/hash__search_8cpp.html
@@ -397,7 +397,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_19b2bf9199a15c634a08b1ede1dd896a.html">search</a></li><li class="navelem"><a class="el" href="../../d1/df3/hash__search_8cpp.html">hash_search.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d2/d05/class_min_heap.html b/d2/d05/class_min_heap.html
index b3a8d31b2..b484dc40d 100644
--- a/d2/d05/class_min_heap.html
+++ b/d2/d05/class_min_heap.html
@@ -469,7 +469,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../d2/d05/class_min_heap.html">MinHeap</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d2/d0b/fast__power_8cpp.html b/d2/d0b/fast__power_8cpp.html
index 6a00c8788..362ee818f 100644
--- a/d2/d0b/fast__power_8cpp.html
+++ b/d2/d0b/fast__power_8cpp.html
@@ -292,7 +292,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_296d53ceaeaa7e099814a6def439fe8a.html">math</a></li><li class="navelem"><a class="el" href="../../d2/d0b/fast__power_8cpp.html">fast_power.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d2/d22/jump__search_8cpp.html b/d2/d22/jump__search_8cpp.html
index 7cff4c657..1bbb4ad82 100644
--- a/d2/d22/jump__search_8cpp.html
+++ b/d2/d22/jump__search_8cpp.html
@@ -200,7 +200,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_19b2bf9199a15c634a08b1ede1dd896a.html">search</a></li><li class="navelem"><a class="el" href="../../d2/d22/jump__search_8cpp.html">jump_search.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d2/d2c/structtower.html b/d2/d2c/structtower.html
index a7f38abea..cea20776c 100644
--- a/d2/d2c/structtower.html
+++ b/d2/d2c/structtower.html
@@ -120,7 +120,7 @@ int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../..
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../d2/d2c/structtower.html">tower</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d2/d36/structqueue.html b/d2/d36/structqueue.html
index dc8c5eead..6bbaad92f 100644
--- a/d2/d36/structqueue.html
+++ b/d2/d36/structqueue.html
@@ -508,7 +508,7 @@ template&lt;class Kind &gt; </div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../d2/d36/structqueue.html">queue</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d2/d3b/namespaceqr__algorithm.html b/d2/d3b/namespaceqr__algorithm.html
index 328665525..8288f02be 100644
--- a/d2/d3b/namespaceqr__algorithm.html
+++ b/d2/d3b/namespaceqr__algorithm.html
@@ -625,7 +625,7 @@ template&lt;typename T &gt; </div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../d2/d3b/namespaceqr__algorithm.html">qr_algorithm</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d2/d52/heap__sort_8cpp.html b/d2/d52/heap__sort_8cpp.html
index c83be695c..8c9278a7b 100644
--- a/d2/d52/heap__sort_8cpp.html
+++ b/d2/d52/heap__sort_8cpp.html
@@ -256,7 +256,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_bb1b521853a9c46347182a9d10420771.html">sorting</a></li><li class="navelem"><a class="el" href="../../d2/d52/heap__sort_8cpp.html">heap_sort.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d2/dc4/classstack__linked_list.html b/d2/dc4/classstack__linked_list.html
index e09e44a91..7d8869a9a 100644
--- a/d2/dc4/classstack__linked_list.html
+++ b/d2/dc4/classstack__linked_list.html
@@ -135,7 +135,7 @@ Public Attributes</h2></td></tr>
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   <ul>
     <li class="navelem"><a class="el" href="../../d2/dc4/classstack__linked_list.html">stack_linkedList</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d2/dcf/namespacestatistics.html b/d2/dcf/namespacestatistics.html
index e2ce3d76f..ce31e25d2 100644
--- a/d2/dcf/namespacestatistics.html
+++ b/d2/dcf/namespacestatistics.html
@@ -115,7 +115,7 @@ Classes</h2></td></tr>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../d2/dcf/namespacestatistics.html">statistics</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d3/d06/ode__semi__implicit__euler_8cpp.html b/d3/d06/ode__semi__implicit__euler_8cpp.html
index 5ff1415f6..441c88718 100644
--- a/d3/d06/ode__semi__implicit__euler_8cpp.html
+++ b/d3/d06/ode__semi__implicit__euler_8cpp.html
@@ -405,7 +405,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_9c6faab82c22511b50177aa2e38e2780.html">numerical_methods</a></li><li class="navelem"><a class="el" href="../../d3/d06/ode__semi__implicit__euler_8cpp.html">ode_semi_implicit_euler.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d3/d19/sparse__matrix_8cpp.html b/d3/d19/sparse__matrix_8cpp.html
index e327e1324..b66872d17 100644
--- a/d3/d19/sparse__matrix_8cpp.html
+++ b/d3/d19/sparse__matrix_8cpp.html
@@ -179,7 +179,7 @@ Functions</h2></td></tr>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_9510827d0b234b3cc54b29892f217477.html">others</a></li><li class="navelem"><a class="el" href="../../d3/d19/sparse__matrix_8cpp.html">sparse_matrix.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d3/d24/qr__decomposition_8cpp.html b/d3/d24/qr__decomposition_8cpp.html
index cec3d91db..90458ba36 100644
--- a/d3/d24/qr__decomposition_8cpp.html
+++ b/d3/d24/qr__decomposition_8cpp.html
@@ -194,7 +194,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_9c6faab82c22511b50177aa2e38e2780.html">numerical_methods</a></li><li class="navelem"><a class="el" href="../../d3/d24/qr__decomposition_8cpp.html">qr_decomposition.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d3/d26/binary__search__tree_8cpp.html b/d3/d26/binary__search__tree_8cpp.html
index 194bb5748..72df18f14 100644
--- a/d3/d26/binary__search__tree_8cpp.html
+++ b/d3/d26/binary__search__tree_8cpp.html
@@ -165,7 +165,7 @@ Variables</h2></td></tr>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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     <li class="navelem"><a class="el" href="../../dir_2e746e9d06bf2d8ff842208bcc6ebcfc.html">data_structures</a></li><li class="navelem"><a class="el" href="../../d3/d26/binary__search__tree_8cpp.html">binary_search_tree.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d3/d61/vector__important__functions_8cpp.html b/d3/d61/vector__important__functions_8cpp.html
index ee478561f..2fbb8bb60 100644
--- a/d3/d61/vector__important__functions_8cpp.html
+++ b/d3/d61/vector__important__functions_8cpp.html
@@ -188,7 +188,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_9510827d0b234b3cc54b29892f217477.html">others</a></li><li class="navelem"><a class="el" href="../../d3/d61/vector__important__functions_8cpp.html">vector_important_functions.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d3/d7d/brute__force__string__searching_8cpp.html b/d3/d7d/brute__force__string__searching_8cpp.html
index d7c7ee893..ed5a9db53 100644
--- a/d3/d7d/brute__force__string__searching_8cpp.html
+++ b/d3/d7d/brute__force__string__searching_8cpp.html
@@ -197,7 +197,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_73a3cc5065b223eb41b02873c0e19f0e.html">strings</a></li><li class="navelem"><a class="el" href="../../d3/d7d/brute__force__string__searching_8cpp.html">brute_force_string_searching.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d3/da3/classstatistics_1_1stats__computer2-members.html b/d3/da3/classstatistics_1_1stats__computer2-members.html
index 83312e6b4..04473d17a 100644
--- a/d3/da3/classstatistics_1_1stats__computer2-members.html
+++ b/d3/da3/classstatistics_1_1stats__computer2-members.html
@@ -111,7 +111,7 @@ $(document).ready(function(){initNavTree('d8/dab/classstatistics_1_1stats__compu
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 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d3/dbb/class_cycle_check.html b/d3/dbb/class_cycle_check.html
index 271775a77..aa25d3015 100644
--- a/d3/dbb/class_cycle_check.html
+++ b/d3/dbb/class_cycle_check.html
@@ -388,7 +388,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../d3/dbb/class_cycle_check.html">CycleCheck</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d3/dce/linkedlist__implentation__usingarray_8cpp.html b/d3/dce/linkedlist__implentation__usingarray_8cpp.html
index 415f0586c..aefed2a75 100644
--- a/d3/dce/linkedlist__implentation__usingarray_8cpp.html
+++ b/d3/dce/linkedlist__implentation__usingarray_8cpp.html
@@ -298,7 +298,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_2e746e9d06bf2d8ff842208bcc6ebcfc.html">data_structures</a></li><li class="navelem"><a class="el" href="../../d3/dce/linkedlist__implentation__usingarray_8cpp.html">linkedlist_implentation_usingarray.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d4/d0e/class_bit-members.html b/d4/d0e/class_bit-members.html
index da9748245..ae4fd2d3a 100644
--- a/d4/d0e/class_bit-members.html
+++ b/d4/d0e/class_bit-members.html
@@ -110,7 +110,7 @@ $(document).ready(function(){initNavTree('df/d27/class_bit.html','../../'); init
 <!-- start footer part -->
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d4/d1f/class_min_heap-members.html b/d4/d1f/class_min_heap-members.html
index 1d4269e70..065e49f26 100644
--- a/d4/d1f/class_min_heap-members.html
+++ b/d4/d1f/class_min_heap-members.html
@@ -115,7 +115,7 @@ $(document).ready(function(){initNavTree('d2/d05/class_min_heap.html','../../');
 <!-- start footer part -->
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d4/d21/least__common__multiple_8cpp.html b/d4/d21/least__common__multiple_8cpp.html
index ef29c66ee..122307b25 100644
--- a/d4/d21/least__common__multiple_8cpp.html
+++ b/d4/d21/least__common__multiple_8cpp.html
@@ -284,7 +284,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_296d53ceaeaa7e099814a6def439fe8a.html">math</a></li><li class="navelem"><a class="el" href="../../d4/d21/least__common__multiple_8cpp.html">least_common_multiple.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d4/d32/fibonacci__fast_8cpp.html b/d4/d32/fibonacci__fast_8cpp.html
index a7df05bba..f105fdd54 100644
--- a/d4/d32/fibonacci__fast_8cpp.html
+++ b/d4/d32/fibonacci__fast_8cpp.html
@@ -237,7 +237,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_296d53ceaeaa7e099814a6def439fe8a.html">math</a></li><li class="navelem"><a class="el" href="../../d4/d32/fibonacci__fast_8cpp.html">fibonacci_fast.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d4/d45/gcd__recursive__euclidean_8cpp.html b/d4/d45/gcd__recursive__euclidean_8cpp.html
index 15a88b3a7..5e28f1e2a 100644
--- a/d4/d45/gcd__recursive__euclidean_8cpp.html
+++ b/d4/d45/gcd__recursive__euclidean_8cpp.html
@@ -216,7 +216,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_296d53ceaeaa7e099814a6def439fe8a.html">math</a></li><li class="navelem"><a class="el" href="../../d4/d45/gcd__recursive__euclidean_8cpp.html">gcd_recursive_euclidean.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d4/d68/qr__decompose_8h.html b/d4/d68/qr__decompose_8h.html
index eaffbe42f..d1a1e3b59 100644
--- a/d4/d68/qr__decompose_8h.html
+++ b/d4/d68/qr__decompose_8h.html
@@ -158,7 +158,7 @@ Functions</h2></td></tr>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_9c6faab82c22511b50177aa2e38e2780.html">numerical_methods</a></li><li class="navelem"><a class="el" href="../../d4/d68/qr__decompose_8h.html">qr_decompose.h</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/d4/d68/qr__decompose_8h_source.html b/d4/d68/qr__decompose_8h_source.html
index 7cdae165c..2d188294f 100644
--- a/d4/d68/qr__decompose_8h_source.html
+++ b/d4/d68/qr__decompose_8h_source.html
@@ -321,7 +321,9 @@ $(document).ready(function(){initNavTree('d4/d68/qr__decompose_8h_source.html','
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 <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 class="ttdoc">STL class.</div></div>
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+<div class="ttc" id="auniform_int_distribution_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/uniform_int_distribution.html">std::uniform_int_distribution</a></div></div>
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-<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt; int &gt;</a></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 class="ttdoc">STL class.</div></div>
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+<div class="ttc" id="amiller__rabin_8cpp_html_a798398d5bfd375a3c0ce68100842f6f5"><div class="ttname"><a href="../../d6/d42/miller__rabin_8cpp.html#a798398d5bfd375a3c0ce68100842f6f5">reverse_binary</a></div><div class="ttdeci">std::vector&lt; T &gt; reverse_binary(T num)</div><div class="ttdef"><b>Definition:</b> miller_rabin.cpp:18</div></div>
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+<div class="ttc" id="amersenne_twister_engine_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/mersenne_twister_engine.html">std::mt19937</a></div></div>
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+<div class="ttc" id="arandom_device_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/random_device.html">std::random_device</a></div></div>
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+<div class="ttc" id="aend_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/end.html">std::vector::cend</a></div><div class="ttdeci">T cend(T... args)</div></div>
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 <div class="ttc" id="asetw_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/setw.html">std::setw</a></div><div class="ttdeci">T setw(T... args)</div></div>
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+<div class="ttc" id="amiller__rabin_8cpp_html_a88ec9ad42717780d6caaff9d3d6977f9"><div class="ttname"><a href="../../d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a></div><div class="ttdeci">void tests()</div><div class="ttdef"><b>Definition:</b> miller_rabin.cpp:154</div></div>
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 <div class="ttc" id="apow_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a></div><div class="ttdeci">T pow(T... args)</div></div>
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@@ -464,7 +475,7 @@ $(document).ready(function(){initNavTree('d4/d68/qr__decompose_8h_source.html','
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
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     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d4/d6d/struct_entry-members.html b/d4/d6d/struct_entry-members.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d4/d7a/shell__sort2_8cpp.html b/d4/d7a/shell__sort2_8cpp.html
index 790ff553d..c3881dbff 100644
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+++ b/d4/d7a/shell__sort2_8cpp.html
@@ -513,7 +513,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d4/d86/large__number_8h.html b/d4/d86/large__number_8h.html
index 3fb0d54df..f29067d1c 100644
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+++ b/d4/d86/large__number_8h.html
@@ -135,7 +135,7 @@ Classes</h2></td></tr>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d4/d86/large__number_8h_source.html b/d4/d86/large__number_8h_source.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d4/d9c/primes__up__to__billion_8cpp.html b/d4/d9c/primes__up__to__billion_8cpp.html
index f5c6083c5..164a08a33 100644
--- a/d4/d9c/primes__up__to__billion_8cpp.html
+++ b/d4/d9c/primes__up__to__billion_8cpp.html
@@ -217,7 +217,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d4/da0/gcd__iterative__euclidean_8cpp.html b/d4/da0/gcd__iterative__euclidean_8cpp.html
index 11e2ccb33..304029135 100644
--- a/d4/da0/gcd__iterative__euclidean_8cpp.html
+++ b/d4/da0/gcd__iterative__euclidean_8cpp.html
@@ -222,7 +222,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d4/da4/class_queue.html b/d4/da4/class_queue.html
index 99afa7f0f..df7a2d99e 100644
--- a/d4/da4/class_queue.html
+++ b/d4/da4/class_queue.html
@@ -138,7 +138,7 @@ Private Attributes</h2></td></tr>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d4/db4/struct_segment_intersection.html b/d4/db4/struct_segment_intersection.html
index 5450306b2..771884c33 100644
--- a/d4/db4/struct_segment_intersection.html
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@@ -231,7 +231,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d4/db6/struct_min_heap_node-members.html b/d4/db6/struct_min_heap_node-members.html
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--- a/d4/db6/struct_min_heap_node-members.html
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@@ -107,7 +107,7 @@ $(document).ready(function(){initNavTree('d5/d29/struct_min_heap_node.html','../
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 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d4/dd9/structtrie.html b/d4/dd9/structtrie.html
index 70b0f42ae..891985328 100644
--- a/d4/dd9/structtrie.html
+++ b/d4/dd9/structtrie.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d4/de8/fast__interger__input_8cpp.html b/d4/de8/fast__interger__input_8cpp.html
index d3b02dd82..6ae6da8fe 100644
--- a/d4/de8/fast__interger__input_8cpp.html
+++ b/d4/de8/fast__interger__input_8cpp.html
@@ -202,7 +202,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d4/def/kohonen__som__topology_8cpp.html b/d4/def/kohonen__som__topology_8cpp.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d5/d29/struct_min_heap_node.html b/d5/d29/struct_min_heap_node.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d5/d4c/group__sorting.html b/d5/d4c/group__sorting.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d5/d67/bayes__theorem_8cpp.html b/d5/d67/bayes__theorem_8cpp.html
index e7743d680..3ecc4f17f 100644
--- a/d5/d67/bayes__theorem_8cpp.html
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@@ -240,7 +240,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
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     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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--- a/d5/d91/namespacesorting.html
+++ b/d5/d91/namespacesorting.html
@@ -597,7 +597,7 @@ Here is the call graph for this function:</div>
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     <li class="navelem"><a class="el" href="../../d5/d91/namespacesorting.html">sorting</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d5/da1/structnode.html b/d5/da1/structnode.html
index d2712ee41..6f2aa23ae 100644
--- a/d5/da1/structnode.html
+++ b/d5/da1/structnode.html
@@ -188,7 +188,7 @@ class node&lt; Kind &gt;</h3>
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+<a href="#func-members">Functions</a>  </div>
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+<div class="title">miller_rabin.cpp File Reference</div>  </div>
+</div><!--header-->
+<div class="contents">
+<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
+<code>#include &lt;iostream&gt;</code><br />
+<code>#include &lt;random&gt;</code><br />
+<code>#include &lt;vector&gt;</code><br />
+</div><div class="textblock"><div class="dynheader">
+Include dependency graph for miller_rabin.cpp:</div>
+<div class="dyncontent">
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+</div>
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+Functions</h2></td></tr>
+<tr class="memitem:a798398d5bfd375a3c0ce68100842f6f5"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a798398d5bfd375a3c0ce68100842f6f5"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d6/d42/miller__rabin_8cpp.html#a798398d5bfd375a3c0ce68100842f6f5">reverse_binary</a> (T num)</td></tr>
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+<tr class="memitem:ad6c2c67ea416d0e80003a88623f98b29"><td class="memTemplItemLeft" align="right" valign="top">T&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d6/d42/miller__rabin_8cpp.html#ad6c2c67ea416d0e80003a88623f98b29">modular_exponentiation</a> (T base, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt; &amp;rev_binary_exponent, T mod)</td></tr>
+<tr class="separator:ad6c2c67ea416d0e80003a88623f98b29"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a6f9c31c1047aa3191676d64571d4c506"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a6f9c31c1047aa3191676d64571d4c506"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d6/d42/miller__rabin_8cpp.html#a6f9c31c1047aa3191676d64571d4c506">miller_test</a> (T d, T num)</td></tr>
+<tr class="separator:a6f9c31c1047aa3191676d64571d4c506"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a901288288ef5ebe8e97414cc30797cce"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
+<tr class="memitem:a901288288ef5ebe8e97414cc30797cce"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d6/d42/miller__rabin_8cpp.html#a901288288ef5ebe8e97414cc30797cce">miller_rabin_primality_test</a> (T num, T repeats)</td></tr>
+<tr class="separator:a901288288ef5ebe8e97414cc30797cce"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:a88ec9ad42717780d6caaff9d3d6977f9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a> ()</td></tr>
+<tr class="separator:a88ec9ad42717780d6caaff9d3d6977f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
+<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d42/miller__rabin_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
+<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
+</table>
+<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
+<div class="textblock"><p>Copyright 2020 </p><dl class="section author"><dt>Author</dt><dd>tjgurwara99</dd></dl>
+<p>A basic implementation of Miller-Rabin primality test. </p>
+</div><h2 class="groupheader">Function Documentation</h2>
+<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
+
+<div class="memitem">
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+      <table class="memname">
+        <tr>
+          <td class="memname">int main </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Main function </p>
+<div class="fragment"><div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;           {</div>
+<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;    <a class="code" href="../../d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a>();</div>
+<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;    <span class="keywordflow">return</span> 0;</div>
+<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;}</div>
+</div><!-- fragment --><div class="dynheader">
+Here is the call graph for this function:</div>
+<div class="dyncontent">
+<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../d6/d42/miller__rabin_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="100%" height="404"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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+<h2 class="memtitle"><span class="permalink"><a href="#a901288288ef5ebe8e97414cc30797cce">&#9670;&nbsp;</a></span>miller_rabin_primality_test()</h2>
+
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">bool miller_rabin_primality_test </td>
+          <td>(</td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>num</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>repeats</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Function that test (probabilistically) whether a given number is a prime based on the Miller-Rabin Primality Test. </p><dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">num</td><td>number to be tested for primality. </td></tr>
+    <tr><td class="paramname">repeats</td><td>number of repetitions for the test to increase probability of correct result. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>'false' if num is composite </dd>
+<dd>
+'true' if num is (probably) prime</dd></dl>
+<p>\detail First we check whether the num input is less than 4, if so we can determine whether this is a prime or composite by checking for 2 and 3. Next we check whether this num is odd (as all primes greater than 2 are odd). Next we write our num in the following format \(num = 2^r \cdot d + 1\). After finding r and d for our input num, we use for loop repeat number of times inside which we check the miller conditions using the function miller_test. If miller_test returns false then the number is composite After the loop finishes completely without issuing a false return call, we can conclude that this number is probably prime. </p>
+<div class="fragment"><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;                                                                         {</div>
+<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;    <span class="keywordflow">if</span> (num &lt;= 4) {</div>
+<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;        <span class="comment">// If num == 2 or num == 3 then prime</span></div>
+<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;        <span class="keywordflow">if</span> (num == 2 || num == 3) {</div>
+<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;            <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;        } <span class="keywordflow">else</span> {</div>
+<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;            <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
+<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;        }</div>
+<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;    }</div>
+<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;    <span class="comment">// If num is even then not prime</span></div>
+<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;    <span class="keywordflow">if</span> (num % 2 == 0) {</div>
+<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;        <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
+<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;    }</div>
+<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;    <span class="comment">// Finding d and r in num = 2^r * d + 1</span></div>
+<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;    T d = num - 1, r = 0;</div>
+<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;    <span class="keywordflow">while</span> (d % 2 == 0) {</div>
+<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;        d = d / 2;</div>
+<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;        r++;</div>
+<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    }</div>
+<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160; </div>
+<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;    <span class="keywordflow">for</span> (T i = 0; i &lt; repeats; ++i) {</div>
+<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;        <span class="keywordflow">if</span> (!<a class="code" href="../../d6/d42/miller__rabin_8cpp.html#a6f9c31c1047aa3191676d64571d4c506">miller_test</a>(d, num)) {</div>
+<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;            <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
+<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;        }</div>
+<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;    }</div>
+<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;    <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;}</div>
+</div><!-- fragment --><div class="dynheader">
+Here is the call graph for this function:</div>
+<div class="dyncontent">
+<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../d6/d42/miller__rabin_8cpp_a901288288ef5ebe8e97414cc30797cce_cgraph.svg" width="100%" height="404"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
+</div>
+</div>
+
+</div>
+</div>
+<a id="a6f9c31c1047aa3191676d64571d4c506"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a6f9c31c1047aa3191676d64571d4c506">&#9670;&nbsp;</a></span>miller_test()</h2>
+
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">bool miller_test </td>
+          <td>(</td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>d</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>num</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Function for testing the conditions that are satisfied when a number is prime. </p><dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">d</td><td>number such that \(d \cdot 2^r = n - 1\) where \(n = num\) parameter and \(r \geq 1\) </td></tr>
+    <tr><td class="paramname">num</td><td>number being tested for primality. </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>'false' if n is composite </dd>
+<dd>
+'true' if n is (probably) prime. </dd></dl>
+<div class="fragment"><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;                                                   {</div>
+<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    <span class="comment">// random number seed</span></div>
+<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/random_device.html">std::random_device</a> rd_seed;</div>
+<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    <span class="comment">// random number generator</span></div>
+<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;    <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/mersenne_twister_engine.html">std::mt19937</a> gen(rd_seed());</div>
+<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    <span class="comment">// Uniformly distributed range [2, num - 2] for random numbers</span></div>
+<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/uniform_int_distribution.html">std::uniform_int_distribution&lt;&gt;</a> distribution(2, num - 2);</div>
+<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    <span class="comment">// Random number generated in the range [2, num -2].</span></div>
+<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;    T random = distribution(gen);</div>
+<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    <span class="comment">// vector for reverse binary of the power</span></div>
+<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;T&gt;</a> <a class="code" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a> = <a class="code" href="../../d6/d42/miller__rabin_8cpp.html#a798398d5bfd375a3c0ce68100842f6f5">reverse_binary</a>(d);</div>
+<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;    <span class="comment">// x = random ^ d % num</span></div>
+<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;    T x = <a class="code" href="../../d6/d42/miller__rabin_8cpp.html#ad6c2c67ea416d0e80003a88623f98b29">modular_exponentiation</a>(random, <a class="code" href="../../df/def/power__for__huge__numbers_8cpp.html#ae249a2af508aa94266023ce8aa81426f">power</a>, num);</div>
+<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;    <span class="comment">// miller conditions</span></div>
+<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    <span class="keywordflow">if</span> (x == 1 || x == num - 1) {</div>
+<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;        <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    }</div>
+<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160; </div>
+<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;    <span class="keywordflow">while</span> (d != num - 1) {</div>
+<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;        x = (x * x) % num;</div>
+<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;        d *= 2;</div>
+<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;        <span class="keywordflow">if</span> (x == 1) {</div>
+<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;            <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
+<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        }</div>
+<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keywordflow">if</span> (x == num - 1) {</div>
+<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;            <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
+<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;        }</div>
+<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;    }</div>
+<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;    <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
+<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;}</div>
+</div><!-- fragment --><div class="dynheader">
+Here is the call graph for this function:</div>
+<div class="dyncontent">
+<div class="center"><iframe scrolling="no" frameborder="0" src="../../d6/d42/miller__rabin_8cpp_a6f9c31c1047aa3191676d64571d4c506_cgraph.svg" width="503" height="139"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
+</div>
+</div>
+
+</div>
+</div>
+<a id="ad6c2c67ea416d0e80003a88623f98b29"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#ad6c2c67ea416d0e80003a88623f98b29">&#9670;&nbsp;</a></span>modular_exponentiation()</h2>
+
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname">T modular_exponentiation </td>
+          <td>(</td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>base</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; T &gt; &amp;&#160;</td>
+          <td class="paramname"><em>rev_binary_exponent</em>, </td>
+        </tr>
+        <tr>
+          <td class="paramkey"></td>
+          <td></td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>mod</em>&#160;</td>
+        </tr>
+        <tr>
+          <td></td>
+          <td>)</td>
+          <td></td><td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Function for modular exponentiation. This function is an efficient modular exponentiation function. It can be used with any big integer library such as Boost multiprecision to give result any modular exponentiation problem relatively quickly. </p><dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">base</td><td>number being raised to a power as integer </td></tr>
+    <tr><td class="paramname">rev_binary_exponent</td><td>reverse binary of the power the base is being raised to </td></tr>
+    <tr><td class="paramname">mod</td><td>modulo </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>r the modular exponentiation of \(a^{n} \equiv r \mod{m}\) where \(n\) is the base 10 representation of rev_binary_exponent and \(m = mod \) parameter. </dd></dl>
+<div class="fragment"><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;                                {</div>
+<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="keywordflow">if</span> (mod == 1)</div>
+<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;        <span class="keywordflow">return</span> 0;</div>
+<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;    T b = 1;</div>
+<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    <span class="keywordflow">if</span> (rev_binary_exponent.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>() == 0)</div>
+<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;        <span class="keywordflow">return</span> b;</div>
+<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;    T A = base;</div>
+<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;    <span class="keywordflow">if</span> (rev_binary_exponent[0] == 1)</div>
+<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;        b = base;</div>
+<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160; </div>
+<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;    <span class="keywordflow">for</span> (<span class="keyword">typename</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;T&gt;::const_iterator</a> it =</div>
+<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;             rev_binary_exponent.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">cbegin</a>() + 1;</div>
+<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;         it != rev_binary_exponent.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/end.html">cend</a>(); ++it) {</div>
+<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;        A = A * A % mod;</div>
+<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;        <span class="keywordflow">if</span> (*it == 1)</div>
+<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;            b = A * b % mod;</div>
+<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;    }</div>
+<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    <span class="keywordflow">return</span> b;</div>
+<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;}</div>
+</div><!-- fragment -->
+</div>
+</div>
+<a id="a798398d5bfd375a3c0ce68100842f6f5"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a798398d5bfd375a3c0ce68100842f6f5">&#9670;&nbsp;</a></span>reverse_binary()</h2>
+
+<div class="memitem">
+<div class="memproto">
+<div class="memtemplate">
+template&lt;typename T &gt; </div>
+      <table class="memname">
+        <tr>
+          <td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt;T&gt; reverse_binary </td>
+          <td>(</td>
+          <td class="paramtype">T&#160;</td>
+          <td class="paramname"><em>num</em></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Function to give a binary representation of a number in reverse order </p><dl class="params"><dt>Parameters</dt><dd>
+  <table class="params">
+    <tr><td class="paramname">num</td><td>integer number that we want to convert </td></tr>
+  </table>
+  </dd>
+</dl>
+<dl class="section return"><dt>Returns</dt><dd>result vector of the number input in reverse binary </dd></dl>
+<div class="fragment"><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;                                                         {</div>
+<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;    <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;T&gt;</a> result;</div>
+<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;    T temp = num;</div>
+<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;    <span class="keywordflow">while</span> (temp &gt; 0) {</div>
+<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;        result.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(temp % 2);</div>
+<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;        temp = temp / 2;</div>
+<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;    }</div>
+<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;    <span class="keywordflow">return</span> result;</div>
+<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;}</div>
+</div><!-- fragment --><div class="dynheader">
+Here is the call graph for this function:</div>
+<div class="dyncontent">
+<div class="center"><iframe scrolling="no" frameborder="0" src="../../d6/d42/miller__rabin_8cpp_a798398d5bfd375a3c0ce68100842f6f5_cgraph.svg" width="320" height="38"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
+</div>
+</div>
+
+</div>
+</div>
+<a id="a88ec9ad42717780d6caaff9d3d6977f9"></a>
+<h2 class="memtitle"><span class="permalink"><a href="#a88ec9ad42717780d6caaff9d3d6977f9">&#9670;&nbsp;</a></span>tests()</h2>
+
+<div class="memitem">
+<div class="memproto">
+      <table class="memname">
+        <tr>
+          <td class="memname">void tests </td>
+          <td>(</td>
+          <td class="paramname"></td><td>)</td>
+          <td></td>
+        </tr>
+      </table>
+</div><div class="memdoc">
+<p>Functions for testing the <a class="el" href="../../d6/d42/miller__rabin_8cpp.html#a901288288ef5ebe8e97414cc30797cce">miller_rabin_primality_test()</a> function with some assert statements. </p>
+<div class="fragment"><div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;             {</div>
+<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;    <span class="comment">// First test on 2</span></div>
+<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;    assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;2 is prime but function says otherwise.\n&quot;</span>,</div>
+<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;            <a class="code" href="../../d6/d42/miller__rabin_8cpp.html#a901288288ef5ebe8e97414cc30797cce">miller_rabin_primality_test</a>(2, 1) == <span class="keyword">true</span>));</div>
+<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;    <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;First test passes.&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
+<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;    <span class="comment">// Second test on 5</span></div>
+<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;5 should be prime but the function says otherwise.\n&quot;</span>,</div>
+<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;            <a class="code" href="../../d6/d42/miller__rabin_8cpp.html#a901288288ef5ebe8e97414cc30797cce">miller_rabin_primality_test</a>(5, 3) == <span class="keyword">true</span>));</div>
+<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;    <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Second test passes.&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
+<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;    <span class="comment">// Third test on 23</span></div>
+<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;    assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;23 should be prime but the function says otherwise.\n&quot;</span>,</div>
+<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;            <a class="code" href="../../d6/d42/miller__rabin_8cpp.html#a901288288ef5ebe8e97414cc30797cce">miller_rabin_primality_test</a>(23, 3) == <span class="keyword">true</span>));</div>
+<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;    <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Third test passes.&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
+<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;    <span class="comment">// Fourth test on 16</span></div>
+<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;    assert(((<span class="keywordtype">void</span>)<span class="stringliteral">&quot;16 is not a prime but the function says otherwise.\n&quot;</span>,</div>
+<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;            <a class="code" href="../../d6/d42/miller__rabin_8cpp.html#a901288288ef5ebe8e97414cc30797cce">miller_rabin_primality_test</a>(16, 3) == <span class="keyword">false</span>));</div>
+<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;    <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Fourth test passes.&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
+<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160;    <span class="comment">// Fifth test on 27</span></div>
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+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d7/d89/double__factorial_8cpp.html b/d7/d89/double__factorial_8cpp.html
index 947739973..617ceb104 100644
--- a/d7/d89/double__factorial_8cpp.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d7/dba/cll_8h_source.html b/d7/dba/cll_8h_source.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:18 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d7/de0/stack_8h_source.html b/d7/de0/stack_8h_source.html
index bf13eaa63..0bda383ec 100644
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:18 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d8/d01/struct_item-members.html b/d8/d01/struct_item-members.html
index 2a7dd46d0..441a06145 100644
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d8/d10/structlist.html b/d8/d10/structlist.html
index e89792063..1c749daca 100644
--- a/d8/d10/structlist.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d8/d13/bubble__sort_8cpp.html b/d8/d13/bubble__sort_8cpp.html
index fd01817b0..445100e3a 100644
--- a/d8/d13/bubble__sort_8cpp.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d8/d38/queue_8h_source.html b/d8/d38/queue_8h_source.html
index 9c19bc92c..3e754f0ed 100644
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:18 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d8/d38/structquery-members.html b/d8/d38/structquery-members.html
index 1d1395849..1fb63e0ee 100644
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d8/d53/modular__inverse__fermat__little__theorem_8cpp.html b/d8/d53/modular__inverse__fermat__little__theorem_8cpp.html
index 414d51725..f87b21acf 100644
--- a/d8/d53/modular__inverse__fermat__little__theorem_8cpp.html
+++ b/d8/d53/modular__inverse__fermat__little__theorem_8cpp.html
@@ -271,7 +271,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
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diff --git a/d8/d55/class_cycle_check-members.html b/d8/d55/class_cycle_check-members.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d8/d6c/line__segment__intersection_8cpp.html b/d8/d6c/line__segment__intersection_8cpp.html
index b7fd5bcf8..a266b9f64 100644
--- a/d8/d6c/line__segment__intersection_8cpp.html
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@@ -174,7 +174,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d8/d77/namespacemachine__learning.html b/d8/d77/namespacemachine__learning.html
index 3c6ff2a32..894215bd1 100644
--- a/d8/d77/namespacemachine__learning.html
+++ b/d8/d77/namespacemachine__learning.html
@@ -617,7 +617,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d8/d8a/exponential__search_8cpp.html b/d8/d8a/exponential__search_8cpp.html
index 56311ff9f..9d89ba0a5 100644
--- a/d8/d8a/exponential__search_8cpp.html
+++ b/d8/d8a/exponential__search_8cpp.html
@@ -295,7 +295,7 @@ template&lt;class Type &gt; </div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d8/d8e/struct_node-members.html b/d8/d8e/struct_node-members.html
index 7a6699abd..c43adaa78 100644
--- a/d8/d8e/struct_node-members.html
+++ b/d8/d8e/struct_node-members.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d8/d9b/classgraph-members.html b/d8/d9b/classgraph-members.html
index 09f9525e3..3157b4b44 100644
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d8/dab/classstatistics_1_1stats__computer2.html b/d8/dab/classstatistics_1_1stats__computer2.html
index 391a40d60..2fe3c89c4 100644
--- a/d8/dab/classstatistics_1_1stats__computer2.html
+++ b/d8/dab/classstatistics_1_1stats__computer2.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d8/db9/structcompare-members.html b/d8/db9/structcompare-members.html
index 82636cfa0..6be0857fd 100644
--- a/d8/db9/structcompare-members.html
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@@ -103,7 +103,7 @@ $(document).ready(function(){initNavTree('d1/db3/structcompare.html','../../');
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d8/dc8/struct_point.html b/d8/dc8/struct_point.html
index 92aaf12d8..867406bdb 100644
--- a/d8/dc8/struct_point.html
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@@ -212,7 +212,7 @@ int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../..
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d8/dcc/namespacestd.html b/d8/dcc/namespacestd.html
index 7c481e2aa..8540c23fd 100644
--- a/d8/dcc/namespacestd.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d8/ddf/sieve__of__eratosthenes_8cpp.html b/d8/ddf/sieve__of__eratosthenes_8cpp.html
index 58d6f5572..37a6a6679 100644
--- a/d8/ddf/sieve__of__eratosthenes_8cpp.html
+++ b/d8/ddf/sieve__of__eratosthenes_8cpp.html
@@ -298,7 +298,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d8/dee/avltree_8cpp.html b/d8/dee/avltree_8cpp.html
index c91fe4735..ba4c4a5ab 100644
--- a/d8/dee/avltree_8cpp.html
+++ b/d8/dee/avltree_8cpp.html
@@ -736,7 +736,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d9/d00/factorial_8cpp.html b/d9/d00/factorial_8cpp.html
index da1279d56..a725b9553 100644
--- a/d9/d00/factorial_8cpp.html
+++ b/d9/d00/factorial_8cpp.html
@@ -180,7 +180,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d9/d02/linear__search_8cpp.html b/d9/d02/linear__search_8cpp.html
index e2a003de8..d0633effd 100644
--- a/d9/d02/linear__search_8cpp.html
+++ b/d9/d02/linear__search_8cpp.html
@@ -231,7 +231,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/d9/d03/namespacestring__search.html b/d9/d03/namespacestring__search.html
index 256688dd8..3854463c7 100644
--- a/d9/d03/namespacestring__search.html
+++ b/d9/d03/namespacestring__search.html
@@ -545,7 +545,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
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+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
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diff --git a/d9/d69/median__search_8cpp.html b/d9/d69/median__search_8cpp.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
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+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
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diff --git a/da/d23/eulers__totient__function_8cpp.html b/da/d23/eulers__totient__function_8cpp.html
index 76331bafc..5191cf88a 100644
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+++ b/da/d23/eulers__totient__function_8cpp.html
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+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
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+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
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diff --git a/da/d7b/primality__test_8cpp.html b/da/d7b/primality__test_8cpp.html
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@@ -204,7 +204,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
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diff --git a/da/df2/durand__kerner__roots_8cpp.html b/da/df2/durand__kerner__roots_8cpp.html
index ac9c0d819..840f7e0d9 100644
--- a/da/df2/durand__kerner__roots_8cpp.html
+++ b/da/df2/durand__kerner__roots_8cpp.html
@@ -577,7 +577,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_9c6faab82c22511b50177aa2e38e2780.html">numerical_methods</a></li><li class="navelem"><a class="el" href="../../da/df2/durand__kerner__roots_8cpp.html">durand_kerner_roots.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/db/d07/spiral__print_8cpp.html b/db/d07/spiral__print_8cpp.html
index 0b5820ceb..4f292480a 100644
--- a/db/d07/spiral__print_8cpp.html
+++ b/db/d07/spiral__print_8cpp.html
@@ -299,7 +299,7 @@ Functions</h2></td></tr>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_9510827d0b234b3cc54b29892f217477.html">others</a></li><li class="navelem"><a class="el" href="../../db/d07/spiral__print_8cpp.html">spiral_print.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/db/d0d/prime__factorization_8cpp.html b/db/d0d/prime__factorization_8cpp.html
index 0e8eef519..43dc0fa26 100644
--- a/db/d0d/prime__factorization_8cpp.html
+++ b/db/d0d/prime__factorization_8cpp.html
@@ -321,7 +321,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_296d53ceaeaa7e099814a6def439fe8a.html">math</a></li><li class="navelem"><a class="el" href="../../db/d0d/prime__factorization_8cpp.html">prime_factorization.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/db/d3c/tower__of__hanoi_8cpp.html b/db/d3c/tower__of__hanoi_8cpp.html
index 611aae2a5..9689a4c98 100644
--- a/db/d3c/tower__of__hanoi_8cpp.html
+++ b/db/d3c/tower__of__hanoi_8cpp.html
@@ -341,7 +341,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_9510827d0b234b3cc54b29892f217477.html">others</a></li><li class="navelem"><a class="el" href="../../db/d3c/tower__of__hanoi_8cpp.html">tower_of_hanoi.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/db/d66/struct_item.html b/db/d66/struct_item.html
index ee52de98f..0faf5d079 100644
--- a/db/d66/struct_item.html
+++ b/db/d66/struct_item.html
@@ -116,7 +116,7 @@ int&#160;</td><td class="memItemRight" valign="bottom"><b>profit</b></td></tr>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../db/d66/struct_item.html">Item</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/db/d82/classlarge__number.html b/db/d82/classlarge__number.html
index f8cb94691..57b2ddcfd 100644
--- a/db/d82/classlarge__number.html
+++ b/db/d82/classlarge__number.html
@@ -980,7 +980,7 @@ template&lt;class T &gt; </div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../db/d82/classlarge__number.html">large_number</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/db/d8b/struct_node.html b/db/d8b/struct_node.html
index 085074a5d..cfafc0f6e 100644
--- a/db/d8b/struct_node.html
+++ b/db/d8b/struct_node.html
@@ -140,7 +140,7 @@ int&#160;</td><td class="memItemRight" valign="bottom"><b>val</b></td></tr>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../db/d8b/struct_node.html">Node</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/db/d93/check__prime_8cpp.html b/db/d93/check__prime_8cpp.html
index a5a7a5add..311c9e03c 100644
--- a/db/d93/check__prime_8cpp.html
+++ b/db/d93/check__prime_8cpp.html
@@ -218,7 +218,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_296d53ceaeaa7e099814a6def439fe8a.html">math</a></li><li class="navelem"><a class="el" href="../../db/d93/check__prime_8cpp.html">check_prime.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/db/dd3/ode__forward__euler_8cpp.html b/db/dd3/ode__forward__euler_8cpp.html
index 22565ac37..88233d2a5 100644
--- a/db/dd3/ode__forward__euler_8cpp.html
+++ b/db/dd3/ode__forward__euler_8cpp.html
@@ -405,7 +405,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_9c6faab82c22511b50177aa2e38e2780.html">numerical_methods</a></li><li class="navelem"><a class="el" href="../../db/dd3/ode__forward__euler_8cpp.html">ode_forward_euler.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/db/df3/happy__number_8cpp.html b/db/df3/happy__number_8cpp.html
index 0905d9c3f..fddffd043 100644
--- a/db/df3/happy__number_8cpp.html
+++ b/db/df3/happy__number_8cpp.html
@@ -197,7 +197,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_9510827d0b234b3cc54b29892f217477.html">others</a></li><li class="navelem"><a class="el" href="../../db/df3/happy__number_8cpp.html">happy_number.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/dc/d1a/pascal__triangle_8cpp.html b/dc/d1a/pascal__triangle_8cpp.html
index 02db1f172..ef6b03b94 100644
--- a/dc/d1a/pascal__triangle_8cpp.html
+++ b/dc/d1a/pascal__triangle_8cpp.html
@@ -282,7 +282,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_9510827d0b234b3cc54b29892f217477.html">others</a></li><li class="navelem"><a class="el" href="../../dc/d1a/pascal__triangle_8cpp.html">pascal_triangle.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/dc/d38/ordinary__least__squares__regressor_8cpp.html b/dc/d38/ordinary__least__squares__regressor_8cpp.html
index 21f8385af..12ad3fc56 100644
--- a/dc/d38/ordinary__least__squares__regressor_8cpp.html
+++ b/dc/d38/ordinary__least__squares__regressor_8cpp.html
@@ -985,7 +985,7 @@ template&lt;typename T &gt; </div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_9c6faab82c22511b50177aa2e38e2780.html">numerical_methods</a></li><li class="navelem"><a class="el" href="../../dc/d38/ordinary__least__squares__regressor_8cpp.html">ordinary_least_squares_regressor.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/dc/d93/trie__modern_8cpp.html b/dc/d93/trie__modern_8cpp.html
index b34865273..45916abb7 100644
--- a/dc/d93/trie__modern_8cpp.html
+++ b/dc/d93/trie__modern_8cpp.html
@@ -162,7 +162,7 @@ Functions</h2></td></tr>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_2e746e9d06bf2d8ff842208bcc6ebcfc.html">data_structures</a></li><li class="navelem"><a class="el" href="../../dc/d93/trie__modern_8cpp.html">trie_modern.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/dc/db5/text__search_8cpp.html b/dc/db5/text__search_8cpp.html
index 217ec5014..779c6a633 100644
--- a/dc/db5/text__search_8cpp.html
+++ b/dc/db5/text__search_8cpp.html
@@ -180,7 +180,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_19b2bf9199a15c634a08b1ede1dd896a.html">search</a></li><li class="navelem"><a class="el" href="../../dc/db5/text__search_8cpp.html">text_search.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/dc/dc5/paranthesis__matching_8cpp.html b/dc/dc5/paranthesis__matching_8cpp.html
index f7d486064..b2ebffde6 100644
--- a/dc/dc5/paranthesis__matching_8cpp.html
+++ b/dc/dc5/paranthesis__matching_8cpp.html
@@ -218,7 +218,7 @@ Implementation is C-type and does not utilize the C++ constructs </dd></dl>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_9510827d0b234b3cc54b29892f217477.html">others</a></li><li class="navelem"><a class="el" href="../../dc/dc5/paranthesis__matching_8cpp.html">paranthesis_matching.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/dc/dfe/ternary__search_8cpp.html b/dc/dfe/ternary__search_8cpp.html
index 2738491cb..f4d99d3a7 100644
--- a/dc/dfe/ternary__search_8cpp.html
+++ b/dc/dfe/ternary__search_8cpp.html
@@ -452,7 +452,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_19b2bf9199a15c634a08b1ede1dd896a.html">search</a></li><li class="navelem"><a class="el" href="../../dc/dfe/ternary__search_8cpp.html">ternary_search.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/dd/d00/class_queue-members.html b/dd/d00/class_queue-members.html
index 9e9172934..e6bc559a7 100644
--- a/dd/d00/class_queue-members.html
+++ b/dd/d00/class_queue-members.html
@@ -109,7 +109,7 @@ $(document).ready(function(){initNavTree('d4/da4/class_queue.html','../../'); in
 <!-- start footer part -->
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/dd/d1b/structquery.html b/dd/d1b/structquery.html
index a11f7288f..b2e300f87 100644
--- a/dd/d1b/structquery.html
+++ b/dd/d1b/structquery.html
@@ -119,7 +119,7 @@ int&#160;</td><td class="memItemRight" valign="bottom"><b>i</b></td></tr>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dd/d1b/structquery.html">query</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/dd/d29/false__position_8cpp.html b/dd/d29/false__position_8cpp.html
index 00b066692..1461e1def 100644
--- a/dd/d29/false__position_8cpp.html
+++ b/dd/d29/false__position_8cpp.html
@@ -266,7 +266,7 @@ template&lt;typename T &gt; </div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_9c6faab82c22511b50177aa2e38e2780.html">numerical_methods</a></li><li class="navelem"><a class="el" href="../../dd/d29/false__position_8cpp.html">false_position.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/dd/d2f/class_trie.html b/dd/d2f/class_trie.html
index 720418b2a..27b0ee5e1 100644
--- a/dd/d2f/class_trie.html
+++ b/dd/d2f/class_trie.html
@@ -405,7 +405,7 @@ False if word is not found in trie or isEndOfWord is set to false. </dd></dl>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dd/d2f/class_trie.html">Trie</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/dd/d3b/struct_entry.html b/dd/d3b/struct_entry.html
index 83f3deb88..318e385a9 100644
--- a/dd/d3b/struct_entry.html
+++ b/dd/d3b/struct_entry.html
@@ -128,7 +128,7 @@ int&#160;</td><td class="memItemRight" valign="bottom"><b>key</b></td></tr>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dd/d3b/struct_entry.html">Entry</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/dd/d4f/class_solution.html b/dd/d4f/class_solution.html
index 6a8e27249..6eadd7383 100644
--- a/dd/d4f/class_solution.html
+++ b/dd/d4f/class_solution.html
@@ -148,7 +148,7 @@ int&#160;</td><td class="memItemRight" valign="bottom"><b>timer</b></td></tr>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dd/d4f/class_solution.html">Solution</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/dd/d51/classstack-members.html b/dd/d51/classstack-members.html
index 41ac1f219..9e3d26c62 100644
--- a/dd/d51/classstack-members.html
+++ b/dd/d51/classstack-members.html
@@ -113,7 +113,7 @@ $(document).ready(function(){initNavTree('d1/dc2/classstack.html','../../'); ini
 <!-- start footer part -->
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/dd/d65/lu__decompose_8cpp.html b/dd/d65/lu__decompose_8cpp.html
index 2bd0e6a19..7bb4deb4c 100644
--- a/dd/d65/lu__decompose_8cpp.html
+++ b/dd/d65/lu__decompose_8cpp.html
@@ -356,7 +356,7 @@ Here is the call graph for this function:</div>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
     <li class="navelem"><a class="el" href="../../dir_9c6faab82c22511b50177aa2e38e2780.html">numerical_methods</a></li><li class="navelem"><a class="el" href="../../dd/d65/lu__decompose_8cpp.html">lu_decompose.cpp</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/dd/d7a/classdouble__linked__list-members.html b/dd/d7a/classdouble__linked__list-members.html
index 21caea624..f6eb92257 100644
--- a/dd/d7a/classdouble__linked__list-members.html
+++ b/dd/d7a/classdouble__linked__list-members.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/dd/d9b/classgraph.html b/dd/d9b/classgraph.html
index aa8104053..ada8dc86a 100644
--- a/dd/d9b/classgraph.html
+++ b/dd/d9b/classgraph.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/dd/da0/todo.html b/dd/da0/todo.html
index 716f2d6ad..2c40ef630 100644
--- a/dd/da0/todo.html
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 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/dd/da8/struct_segment_intersection-members.html b/dd/da8/struct_segment_intersection-members.html
index 99ce1a7ea..ce477f932 100644
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/dd/df4/structlca.html b/dd/df4/structlca.html
index b548dacae..38ac4fd38 100644
--- a/dd/df4/structlca.html
+++ b/dd/df4/structlca.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/de/d47/string__fibonacci_8cpp.html b/de/d47/string__fibonacci_8cpp.html
index 2e45978f2..d644b793c 100644
--- a/de/d47/string__fibonacci_8cpp.html
+++ b/de/d47/string__fibonacci_8cpp.html
@@ -286,7 +286,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/de/d48/struct_trie_1_1_trie_node.html b/de/d48/struct_trie_1_1_trie_node.html
index 31da528f6..2fac6d560 100644
--- a/de/d48/struct_trie_1_1_trie_node.html
+++ b/de/d48/struct_trie_1_1_trie_node.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/de/d6a/knuth__morris__pratt_8cpp.html b/de/d6a/knuth__morris__pratt_8cpp.html
index 6e1b7b2cf..67bca42c8 100644
--- a/de/d6a/knuth__morris__pratt_8cpp.html
+++ b/de/d6a/knuth__morris__pratt_8cpp.html
@@ -186,7 +186,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/de/d75/qr__eigen__values_8cpp.html b/de/d75/qr__eigen__values_8cpp.html
index df96712e0..ad2a8cd6f 100644
--- a/de/d75/qr__eigen__values_8cpp.html
+++ b/de/d75/qr__eigen__values_8cpp.html
@@ -476,7 +476,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/de/d7c/struct_trie_1_1_trie_node-members.html b/de/d7c/struct_trie_1_1_trie_node-members.html
index ec43fe7d6..05d10765f 100644
--- a/de/d7c/struct_trie_1_1_trie_node-members.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/de/d85/decimal__to__roman__numeral_8cpp.html b/de/d85/decimal__to__roman__numeral_8cpp.html
index 8bf56b8e8..0f53af9cc 100644
--- a/de/d85/decimal__to__roman__numeral_8cpp.html
+++ b/de/d85/decimal__to__roman__numeral_8cpp.html
@@ -313,7 +313,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/de/d8a/class_trie-members.html b/de/d8a/class_trie-members.html
index 8c79bc587..38dc9bccf 100644
--- a/de/d8a/class_trie-members.html
+++ b/de/d8a/class_trie-members.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/de/d91/class_queue___array-members.html b/de/d91/class_queue___array-members.html
index 66cff4e68..a1ee59c11 100644
--- a/de/d91/class_queue___array-members.html
+++ b/de/d91/class_queue___array-members.html
@@ -110,7 +110,7 @@ $(document).ready(function(){initNavTree('d0/dd2/class_queue___array.html','../.
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 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/de/d91/structlist-members.html b/de/d91/structlist-members.html
index a6a1fb4c5..78b2ad0a9 100644
--- a/de/d91/structlist-members.html
+++ b/de/d91/structlist-members.html
@@ -114,7 +114,7 @@ $(document).ready(function(){initNavTree('d8/d10/structlist.html','../../'); ini
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 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/de/d9b/prime__numbers_8cpp.html b/de/d9b/prime__numbers_8cpp.html
index b1de507eb..d3dd2aa49 100644
--- a/de/d9b/prime__numbers_8cpp.html
+++ b/de/d9b/prime__numbers_8cpp.html
@@ -202,7 +202,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/de/db5/class_edge-members.html b/de/db5/class_edge-members.html
index 9bf6d722c..d137c3a94 100644
--- a/de/db5/class_edge-members.html
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@@ -114,7 +114,7 @@ $(document).ready(function(){initNavTree('d7/d77/class_edge.html','../../'); ini
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/de/dc3/binaryheap_8cpp.html b/de/dc3/binaryheap_8cpp.html
index cb412279e..3ba36a647 100644
--- a/de/dc3/binaryheap_8cpp.html
+++ b/de/dc3/binaryheap_8cpp.html
@@ -129,7 +129,7 @@ int&#160;</td><td class="memItemRight" valign="bottom"><b>main</b> ()</td></tr>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/de/dc8/classlarge__number-members.html b/de/dc8/classlarge__number-members.html
index f961aa01c..529b1560b 100644
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/de/dcf/binary__exponent_8cpp.html b/de/dcf/binary__exponent_8cpp.html
index 8299dd74d..a3786a6d8 100644
--- a/de/dcf/binary__exponent_8cpp.html
+++ b/de/dcf/binary__exponent_8cpp.html
@@ -256,7 +256,7 @@ Functions</h2></td></tr>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/de/dd3/newton__raphson__method_8cpp.html b/de/dd3/newton__raphson__method_8cpp.html
index c0a862e5f..52f2b848d 100644
--- a/de/dd3/newton__raphson__method_8cpp.html
+++ b/de/dd3/newton__raphson__method_8cpp.html
@@ -272,7 +272,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/de/de4/fibonacci__large_8cpp.html b/de/de4/fibonacci__large_8cpp.html
index ea5a99300..1ed8918d6 100644
--- a/de/de4/fibonacci__large_8cpp.html
+++ b/de/de4/fibonacci__large_8cpp.html
@@ -166,7 +166,7 @@ int&#160;</td><td class="memItemRight" valign="bottom"><b>main</b> (int argc, ch
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/df/d06/decimal__to__binary_8cpp.html b/df/d06/decimal__to__binary_8cpp.html
index 511a7992b..b682b8a46 100644
--- a/df/d06/decimal__to__binary_8cpp.html
+++ b/df/d06/decimal__to__binary_8cpp.html
@@ -208,7 +208,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/df/d27/class_bit.html b/df/d27/class_bit.html
index b8378598c..5dd7ea07b 100644
--- a/df/d27/class_bit.html
+++ b/df/d27/class_bit.html
@@ -148,7 +148,7 @@ int&#160;</td><td class="memItemRight" valign="bottom"><b>n</b></td></tr>
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   <ul>
     <li class="navelem"><a class="el" href="../../df/d27/class_bit.html">Bit</a></li>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/df/d39/interpolation__search2_8cpp.html b/df/d39/interpolation__search2_8cpp.html
index 664eff292..293ed0b5f 100644
--- a/df/d39/interpolation__search2_8cpp.html
+++ b/df/d39/interpolation__search2_8cpp.html
@@ -222,7 +222,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="../../doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/df/dc8/successive__approximation_8cpp.html b/df/dc8/successive__approximation_8cpp.html
index ef7822be4..2deb17b51 100644
--- a/df/dc8/successive__approximation_8cpp.html
+++ b/df/dc8/successive__approximation_8cpp.html
@@ -237,7 +237,7 @@ Here is the call graph for this function:</div>
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:18 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
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+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
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diff --git a/globals_func_d.html b/globals_func_d.html
index 96cb36327..cd9d5db9a 100644
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
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     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/globals_func_f.html b/globals_func_f.html
index 5859d3786..b4a5c9de3 100644
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/globals_func_g.html b/globals_func_g.html
index b4e49df85..bd2a55310 100644
--- a/globals_func_g.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/globals_func_h.html b/globals_func_h.html
index 5ad1203dd..ea7c38080 100644
--- a/globals_func_h.html
+++ b/globals_func_h.html
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 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/globals_func_i.html b/globals_func_i.html
index 9f6bdd184..897a79a47 100644
--- a/globals_func_i.html
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 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/globals_func_j.html b/globals_func_j.html
index 45a026bdf..5db2d3233 100644
--- a/globals_func_j.html
+++ b/globals_func_j.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/globals_func_l.html b/globals_func_l.html
index e3a7ec5c7..75c6b49b4 100644
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 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/globals_func_m.html b/globals_func_m.html
index d033c51b3..efdb22768 100644
--- a/globals_func_m.html
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-, <a class="el" href="d7/d6a/bisection__method_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">bisection_method.cpp</a>
+, <a class="el" href="de/d47/string__fibonacci_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">string_fibonacci.cpp</a>
+, <a class="el" href="df/dd5/binary__search_8cpp.html#abf9e6b7e6f15df4b525a2e7705ba3089">binary_search.cpp</a>
 , <a class="el" href="d8/d8a/exponential__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">exponential_search.cpp</a>
+, <a class="el" href="d7/d6a/bisection__method_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">bisection_method.cpp</a>
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-, <a class="el" href="dd/d29/false__position_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">false_position.cpp</a>
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 , <a class="el" href="d4/da0/gcd__iterative__euclidean_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">gcd_iterative_euclidean.cpp</a>
+, <a class="el" href="dd/d29/false__position_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">false_position.cpp</a>
+, <a class="el" href="df/d39/interpolation__search2_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">interpolation_search2.cpp</a>
+, <a class="el" href="d9/d02/linear__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">linear_search.cpp</a>
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 , <a class="el" href="de/d6a/knuth__morris__pratt_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">knuth_morris_pratt.cpp</a>
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-, <a class="el" href="dd/d65/lu__decompose_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">lu_decompose.cpp</a>
 , <a class="el" href="dc/dfe/ternary__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">ternary_search.cpp</a>
 , <a class="el" href="db/d93/check__prime_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">check_prime.cpp</a>
 , <a class="el" href="d1/d11/gcd__of__n__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">gcd_of_n_numbers.cpp</a>
-, <a class="el" href="df/dd5/binary__search_8cpp.html#abf9e6b7e6f15df4b525a2e7705ba3089">binary_search.cpp</a>
+, <a class="el" href="dd/d65/lu__decompose_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">lu_decompose.cpp</a>
+, <a class="el" href="de/dd3/newton__raphson__method_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">newton_raphson_method.cpp</a>
+, <a class="el" href="d4/d45/gcd__recursive__euclidean_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">gcd_recursive_euclidean.cpp</a>
 , <a class="el" href="d9/d24/poisson__dist_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">poisson_dist.cpp</a>
 , <a class="el" href="d6/db0/binomial__dist_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">binomial_dist.cpp</a>
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-, <a class="el" href="de/dd3/newton__raphson__method_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">newton_raphson_method.cpp</a>
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-, <a class="el" href="d4/d45/gcd__recursive__euclidean_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">gcd_recursive_euclidean.cpp</a>
 , <a class="el" href="d6/dd3/ode__midpoint__euler_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">ode_midpoint_euler.cpp</a>
 , <a class="el" href="d5/db0/adaline__learning_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">adaline_learning.cpp</a>
 , <a class="el" href="d7/d89/double__factorial_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">double_factorial.cpp</a>
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-, <a class="el" href="de/d47/string__fibonacci_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">string_fibonacci.cpp</a>
+, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">least_common_multiple.cpp</a>
+, <a class="el" href="da/d23/eulers__totient__function_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">eulers_totient_function.cpp</a>
+, <a class="el" href="d6/d42/miller__rabin_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">miller_rabin.cpp</a>
 , <a class="el" href="da/d24/sqrt__double_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sqrt_double.cpp</a>
 , <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sieve_of_eratosthenes.cpp</a>
 , <a class="el" href="d0/d08/realtime__stats_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">realtime_stats.cpp</a>
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 , <a class="el" href="df/def/power__for__huge__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">power_for_huge_numbers.cpp</a>
 , <a class="el" href="d0/da2/number__of__positive__divisors_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">number_of_positive_divisors.cpp</a>
-, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">least_common_multiple.cpp</a>
-, <a class="el" href="da/d23/eulers__totient__function_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">eulers_totient_function.cpp</a>
 , <a class="el" href="d8/d53/modular__inverse__fermat__little__theorem_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">modular_inverse_fermat_little_theorem.cpp</a>
 , <a class="el" href="dc/d93/trie__modern_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">trie_modern.cpp</a>
 , <a class="el" href="d4/def/kohonen__som__topology_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">kohonen_som_topology.cpp</a>
 , <a class="el" href="d9/d5d/extended__euclid__algorithm_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">extended_euclid_algorithm.cpp</a>
 , <a class="el" href="d9/d00/factorial_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">factorial.cpp</a>
-, <a class="el" href="d9/d89/fibonacci_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">fibonacci.cpp</a>
 , <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">kohonen_som_trace.cpp</a>
 , <a class="el" href="d2/d0b/fast__power_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">fast_power.cpp</a>
+, <a class="el" href="d9/d89/fibonacci_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">fibonacci.cpp</a>
 </li>
 <li>mat_mul()
 : <a class="el" href="de/d75/qr__eigen__values_8cpp.html#a7558fd7779bf207157ced66f275951a0">qr_eigen_values.cpp</a>
@@ -194,9 +195,18 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl
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 : <a class="el" href="d6/d60/group__ode.html#ga8c319db420c3d97a83e9dcca803b6812">ode_midpoint_euler.cpp</a>
 </li>
+<li>miller_rabin_primality_test()
+: <a class="el" href="d6/d42/miller__rabin_8cpp.html#a901288288ef5ebe8e97414cc30797cce">miller_rabin.cpp</a>
+</li>
+<li>miller_test()
+: <a class="el" href="d6/d42/miller__rabin_8cpp.html#a6f9c31c1047aa3191676d64571d4c506">miller_rabin.cpp</a>
+</li>
 <li>minValue()
 : <a class="el" href="d8/dee/avltree_8cpp.html#adb8e952bf1c266bae84111b9d6a12015">avltree.cpp</a>
 </li>
+<li>modular_exponentiation()
+: <a class="el" href="d6/d42/miller__rabin_8cpp.html#ad6c2c67ea416d0e80003a88623f98b29">miller_rabin.cpp</a>
+</li>
 <li>mov()
 : <a class="el" href="db/d3c/tower__of__hanoi_8cpp.html#af4cfc41e546f1f8d25f01e0804e8b61d">tower_of_hanoi.cpp</a>
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@@ -210,7 +220,7 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl
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 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/globals_func_n.html b/globals_func_n.html
index a91fefab7..ceba9cfdf 100644
--- a/globals_func_n.html
+++ b/globals_func_n.html
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 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/globals_func_o.html b/globals_func_o.html
index db25d4887..1c56af3aa 100644
--- a/globals_func_o.html
+++ b/globals_func_o.html
@@ -118,7 +118,7 @@ $(document).ready(function(){initNavTree('globals_func_o.html',''); initResizabl
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 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/globals_func_p.html b/globals_func_p.html
index 3ae4e4756..b7f755853 100644
--- a/globals_func_p.html
+++ b/globals_func_p.html
@@ -153,7 +153,7 @@ $(document).ready(function(){initNavTree('globals_func_p.html',''); initResizabl
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 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
   </ul>
diff --git a/globals_func_r.html b/globals_func_r.html
index 9389834b9..340fac956 100644
--- a/globals_func_r.html
+++ b/globals_func_r.html
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 </li>
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+</li>
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 , <a class="el" href="de/d9b/prime__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">prime_numbers.cpp</a>
-, <a class="el" href="de/d47/string__fibonacci_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">string_fibonacci.cpp</a>
-, <a class="el" href="da/d24/sqrt__double_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sqrt_double.cpp</a>
-, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sieve_of_eratosthenes.cpp</a>
-, <a class="el" href="d0/d08/realtime__stats_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">realtime_stats.cpp</a>
-, <a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">primes_up_to_billion.cpp</a>
 , <a class="el" href="d9/d49/kohonen__som__trace_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">kohonen_som_trace.cpp</a>
 , <a class="el" href="d2/d0b/fast__power_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">fast_power.cpp</a>
+, <a class="el" href="da/d24/sqrt__double_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sqrt_double.cpp</a>
+, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">sieve_of_eratosthenes.cpp</a>
+, <a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">primes_up_to_billion.cpp</a>
+, <a class="el" href="d0/d08/realtime__stats_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">realtime_stats.cpp</a>
 , <a class="el" href="d9/d89/fibonacci_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">fibonacci.cpp</a>
 </li>
 <li>mat_mul()
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 </li>
 <li>MAX
-: <a class="el" href="dc/dc5/paranthesis__matching_8cpp.html#a392fb874e547e582e9c66a08a1f23326">paranthesis_matching.cpp</a>
-, <a class="el" href="d4/d32/fibonacci__fast_8cpp.html#a692ac7187ee88621a9f78fca78ec498d">fibonacci_fast.cpp</a>
+: <a class="el" href="d4/d32/fibonacci__fast_8cpp.html#a692ac7187ee88621a9f78fca78ec498d">fibonacci_fast.cpp</a>
+, <a class="el" href="dc/dc5/paranthesis__matching_8cpp.html#a392fb874e547e582e9c66a08a1f23326">paranthesis_matching.cpp</a>
 , <a class="el" href="d1/df3/hash__search_8cpp.html#a392fb874e547e582e9c66a08a1f23326">hash_search.cpp</a>
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-, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a392fb874e547e582e9c66a08a1f23326">sieve_of_eratosthenes.cpp</a>
 , <a class="el" href="df/def/power__for__huge__numbers_8cpp.html#a392fb874e547e582e9c66a08a1f23326">power_for_huge_numbers.cpp</a>
+, <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#a392fb874e547e582e9c66a08a1f23326">sieve_of_eratosthenes.cpp</a>
 </li>
 <li>MAX_ITERATIONS
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-, <a class="el" href="dd/d29/false__position_8cpp.html#a0a3abbca80bc98e7abcb3ae73abe0f14">false_position.cpp</a>
+: <a class="el" href="dd/d29/false__position_8cpp.html#a0a3abbca80bc98e7abcb3ae73abe0f14">false_position.cpp</a>
 , <a class="el" href="de/dd3/newton__raphson__method_8cpp.html#a0a3abbca80bc98e7abcb3ae73abe0f14">newton_raphson_method.cpp</a>
+, <a class="el" href="d7/d6a/bisection__method_8cpp.html#a0a3abbca80bc98e7abcb3ae73abe0f14">bisection_method.cpp</a>
 </li>
 <li>MAX_NUM
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 : <a class="el" href="d6/d60/group__ode.html#ga8c319db420c3d97a83e9dcca803b6812">ode_midpoint_euler.cpp</a>
 </li>
+<li>miller_rabin_primality_test()
+: <a class="el" href="d6/d42/miller__rabin_8cpp.html#a901288288ef5ebe8e97414cc30797cce">miller_rabin.cpp</a>
+</li>
+<li>miller_test()
+: <a class="el" href="d6/d42/miller__rabin_8cpp.html#a6f9c31c1047aa3191676d64571d4c506">miller_rabin.cpp</a>
+</li>
 <li>MIN_DISTANCE
 : <a class="el" href="d4/def/kohonen__som__topology_8cpp.html#a549d41dcf9444ed7d6df1da3c73e7d16">kohonen_som_topology.cpp</a>
 </li>
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 : <a class="el" href="d8/dee/avltree_8cpp.html#adb8e952bf1c266bae84111b9d6a12015">avltree.cpp</a>
 </li>
+<li>modular_exponentiation()
+: <a class="el" href="d6/d42/miller__rabin_8cpp.html#ad6c2c67ea416d0e80003a88623f98b29">miller_rabin.cpp</a>
+</li>
 <li>mov()
 : <a class="el" href="db/d3c/tower__of__hanoi_8cpp.html#af4cfc41e546f1f8d25f01e0804e8b61d">tower_of_hanoi.cpp</a>
 </li>
 <li>multiply()
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-, <a class="el" href="df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">power_for_huge_numbers.cpp</a>
+: <a class="el" href="df/def/power__for__huge__numbers_8cpp.html#aa141a7904f0c4668bac112d652a3acf9">power_for_huge_numbers.cpp</a>
+, <a class="el" href="d7/d35/matrix__exponentiation_8cpp.html#ac62a499b83c7895dd0aa69da1b64c904">matrix_exponentiation.cpp</a>
 </li>
 </ul>
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   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/globals_n.html b/globals_n.html
index 09269aa41..74d0ac75d 100644
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+++ b/globals_n.html
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+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/globals_o.html b/globals_o.html
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 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/globals_p.html b/globals_p.html
index 0254b6ad5..74ae3fab4 100644
--- a/globals_p.html
+++ b/globals_p.html
@@ -130,12 +130,12 @@ $(document).ready(function(){initNavTree('globals_p.html',''); initResizable();
 <li>predict_OLS_regressor()
 : <a class="el" href="dc/d38/ordinary__least__squares__regressor_8cpp.html#a4bcaaf41c66da4d3a471dacef133def7">ordinary_least_squares_regressor.cpp</a>
 </li>
-<li>PRIME
-: <a class="el" href="d6/dce/rabin__karp_8cpp.html#ac4add2a227a10511e0128d63952030e8">rabin_karp.cpp</a>
-</li>
 <li>prime
 : <a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#ac0f4b77b901ddb15dab4c4dee1ac6e95">primes_up_to_billion.cpp</a>
 </li>
+<li>PRIME
+: <a class="el" href="d6/dce/rabin__karp_8cpp.html#ac4add2a227a10511e0128d63952030e8">rabin_karp.cpp</a>
+</li>
 <li>prime_factorization()
 : <a class="el" href="db/d0d/prime__factorization_8cpp.html#a0ece0145fb29a5cf48378c23dde2da46">prime_factorization.cpp</a>
 </li>
@@ -165,7 +165,7 @@ $(document).ready(function(){initNavTree('globals_p.html',''); initResizable();
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+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/globals_r.html b/globals_r.html
index 9b5291e8e..f61a8f5ad 100644
--- a/globals_r.html
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 <li>rec_ternary_search()
 : <a class="el" href="dc/dfe/ternary__search_8cpp.html#a93d0099db95022f1eb90ddfd68f73ead">ternary_search.cpp</a>
 </li>
+<li>reverse_binary()
+: <a class="el" href="d6/d42/miller__rabin_8cpp.html#a798398d5bfd375a3c0ce68100842f6f5">miller_rabin.cpp</a>
+</li>
 <li>rightRotate()
 : <a class="el" href="d8/dee/avltree_8cpp.html#a4d93589966920b2756b84f8b92c54d1c">avltree.cpp</a>
 </li>
@@ -105,7 +108,7 @@ $(document).ready(function(){initNavTree('globals_r.html',''); initResizable();
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   <ul>
-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/globals_s.html b/globals_s.html
index 0bba1c53a..4f5342b04 100644
--- a/globals_s.html
+++ b/globals_s.html
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 <li>show_pascal()
 : <a class="el" href="dc/d1a/pascal__triangle_8cpp.html#ad7a31d9cb2818d21b1ba12aead7f4c5c">pascal_triangle.cpp</a>
 </li>
-<li>Sieve()
-: <a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#a031cada84819ed6426f58e4f7e81261c">primes_up_to_billion.cpp</a>
-</li>
 <li>sieve()
 : <a class="el" href="d8/ddf/sieve__of__eratosthenes_8cpp.html#abce89d8999986f085c368969590376b8">sieve_of_eratosthenes.cpp</a>
 </li>
+<li>Sieve()
+: <a class="el" href="d4/d9c/primes__up__to__billion_8cpp.html#a031cada84819ed6426f58e4f7e81261c">primes_up_to_billion.cpp</a>
+</li>
 <li>SieveOfEratosthenes()
 : <a class="el" href="db/d0d/prime__factorization_8cpp.html#affe577b9bce8f604f5e2f861c63c7099">prime_factorization.cpp</a>
 </li>
@@ -151,7 +151,7 @@ $(document).ready(function(){initNavTree('globals_s.html',''); initResizable();
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 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/globals_t.html b/globals_t.html
index 471dfaa5b..675583000 100644
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 </li>
 <li>tests()
-: <a class="el" href="d4/d21/least__common__multiple_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">least_common_multiple.cpp</a>
+: <a class="el" href="d6/d42/miller__rabin_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">miller_rabin.cpp</a>
+, <a class="el" href="d4/d21/least__common__multiple_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">least_common_multiple.cpp</a>
 </li>
 <li>TH()
 : <a class="el" href="db/d3c/tower__of__hanoi_8cpp.html#ab037f72a5eac476535a6cfbbcb965417">tower_of_hanoi.cpp</a>
@@ -177,7 +178,7 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
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+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/globals_type.html b/globals_type.html
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+++ b/globals_type.html
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+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/globals_u.html b/globals_u.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/globals_vars.html b/globals_vars.html
index 29fa2cce5..4306ee928 100644
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+++ b/globals_vars.html
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 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/graph_legend.html b/graph_legend.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/index.html b/index.html
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-    <li class="footer">Generated on Sun Jun 21 2020 16:00:19 for Algorithms_in_C++ by
+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/modules.html b/modules.html
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+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/namespacemembers.html b/namespacemembers.html
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+    <li class="footer">Generated on Sun Jun 21 2020 17:42:19 for Algorithms_in_C++ by
     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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diff --git a/namespaces.html b/namespaces.html
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     <a href="http://www.doxygen.org/index.html">
     <img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.8.18 </li>
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