-
-
37 for (
size_t cycle_start = 0; cycle_start <= arr.size() - 1; cycle_start++) {
-
-
39 T item = arr[cycle_start];
-
-
-
42 int pos = cycle_start;
-
43 for (
size_t i = cycle_start + 1; i < arr.size(); i++) {
-
-
-
-
-
-
-
50 if (pos == cycle_start) {
-
+
+
+
41 for (
size_t cycle_start = 0; cycle_start <= arr.size() - 1; cycle_start++) {
+
+
43 T item = arr[cycle_start];
+
+
+
+
47 int pos = cycle_start;
+
48 for (
size_t i = cycle_start + 1; i < arr.size(); i++) {
+
+
+
-
-
55 while (item == arr[pos]) pos += 1;
-
-
-
-
59 while (pos != cycle_start) {
-
-
-
62 for (
size_t i = cycle_start + 1; i < arr.size(); i++) {
-
-
-
-
-
-
68 while (item == arr[pos]) pos += 1;
-
-
-
-
-
+
+
55 if (pos == cycle_start) {
+
+
+
+
+
60 while (item == arr[pos]) pos += 1;
+
+
+
+
64 while (pos != cycle_start) {
+
+
+
67 for (
size_t i = cycle_start + 1; i < arr.size(); i++) {
+
+
+
+
+
+
73 while (item == arr[pos]) pos += 1;
+
+
+
+
+
@@ -236,10 +237,10 @@ Here is the call graph for this function:
Main function.
Returns 0 on exit
-
-
-
-
+
@@ -274,21 +275,22 @@ Here is the call graph for this function:
Test implementations.
Returns void
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
@@ -303,8 +305,8 @@ Here is the call graph for this function:
-
static void test()
Test implementations.
Definition: cycle_sort.cpp:81
-
std::vector< T > cycleSort(const std::vector< T > &in_arr)
The main function implements cycleSort.
Definition: cycle_sort.cpp:35
+
static void test()
Test implementations.
Definition: cycle_sort.cpp:86
+
std::vector< T > cycleSort(const std::vector< T > &in_arr)
The main function implements cycleSort.
Definition: cycle_sort.cpp:39
diff --git a/de/d1e/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p-members.html b/de/d1e/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p-members.html
new file mode 100644
index 000000000..11380d5db
--- /dev/null
+++ b/de/d1e/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p-members.html
@@ -0,0 +1,115 @@
+
+
+
+
+
+
+
+
Algorithms_in_C++: Member List
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ Algorithms_in_C++
+ 1.0.0
+
+ Set of algorithms implemented in C++.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
This is the complete list of members for math::ncr_modulo_p::NCRModuloP , including all inherited members.
+
+
+
+
+
+
diff --git a/de/d59/sum__of__binomial__coefficient_8cpp__incl.map b/de/d59/sum__of__binomial__coefficient_8cpp__incl.map
index bdbd42472..b432a38d3 100644
--- a/de/d59/sum__of__binomial__coefficient_8cpp__incl.map
+++ b/de/d59/sum__of__binomial__coefficient_8cpp__incl.map
@@ -1,5 +1,5 @@
-
diff --git a/de/d59/sum__of__binomial__coefficient_8cpp__incl.md5 b/de/d59/sum__of__binomial__coefficient_8cpp__incl.md5
index 28d21a0d0..14f918e63 100644
--- a/de/d59/sum__of__binomial__coefficient_8cpp__incl.md5
+++ b/de/d59/sum__of__binomial__coefficient_8cpp__incl.md5
@@ -1 +1 @@
-ec545e280c9d9dba14eb05829a9a3e88
\ No newline at end of file
+3856e353bc3ec9fed39712f667c7758b
\ No newline at end of file
diff --git a/de/d59/sum__of__binomial__coefficient_8cpp__incl.svg b/de/d59/sum__of__binomial__coefficient_8cpp__incl.svg
index 3ccf20124..22ecedadf 100644
--- a/de/d59/sum__of__binomial__coefficient_8cpp__incl.svg
+++ b/de/d59/sum__of__binomial__coefficient_8cpp__incl.svg
@@ -13,9 +13,9 @@
Node1
-math/sum_of_binomial
-_coefficient.cpp
+math/sum_of_binomial
+_coefficient.cpp
@@ -23,31 +23,31 @@
Node2
-iostream
+cassert
Node1->Node2
-
Node3
-cassert
+iostream
Node1->Node3
-
diff --git a/de/d75/qr__eigen__values_8cpp.html b/de/d75/qr__eigen__values_8cpp.html
index 95bbdfa78..630b84f85 100644
--- a/de/d75/qr__eigen__values_8cpp.html
+++ b/de/d75/qr__eigen__values_8cpp.html
@@ -472,7 +472,7 @@ Here is the call graph for this function:
#define LIMS
Definition: qr_eigen_values.cpp:20
-
uint64_t result(uint64_t n)
Definition: fibonacci_sum.cpp:75
+
uint64_t result(uint64_t n)
Definition: fibonacci_sum.cpp:76
diff --git a/de/dab/ncr__modulo__p_8cpp.html b/de/dab/ncr__modulo__p_8cpp.html
new file mode 100644
index 000000000..84c6cda44
--- /dev/null
+++ b/de/dab/ncr__modulo__p_8cpp.html
@@ -0,0 +1,240 @@
+
+
+
+Algorithms_in_C++: math/ncr_modulo_p.cpp File Reference
+
+
+
+
+
+
+ Algorithms_in_C++
+ 1.0.0
+
+ Set of algorithms implemented in C++.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
This program aims at calculating nCr modulo p .
+More...
+
#include <cassert>#include <iostream>#include <vector>
+
+
This program aims at calculating nCr modulo p .
+
nCr is defined as n! / (r! * (n-r)!) where n! represents factorial of n. In many cases, the value of nCr is too large to fit in a 64 bit integer. Hence, in competitive programming, there are many problems or subproblems to compute nCr modulo p where p is a given number.
Author Kaustubh Damania
+
+
+
◆
+
+
+
+
+
+ int main
+ (
+ void
+ )
+
+
+
+
+
Main function.
+
Returns 0 on exit
+
+
+
139 const uint64_t size = 1e6 + 1;
+
140 const uint64_t p = 1e9 + 7;
+
+
+
+
144 for (
int i = 0; i <= 7; i++) {
+
145 std::cout << 6 <<
"C" << i <<
" = " << ncrObj.
ncr (6, i, p) <<
"\n" ;
+
+
+
+
+
+
+
+
+
+
◆
+
+
+
+
+
Test implementations.
+
Parameters
+
+ ncrObj object which contains the precomputed factorial values and ncr function
+
+
+
Returns void
+
+
+
126 assert(ncrObj.
ncr (52323, 26161, 1000000007) == 224944353);
+
+
128 assert(ncrObj.
ncr (6, 2, 5) == 0);
+
+
130 assert(ncrObj.
ncr (7, 3, 29) == 6);
+
+
+
+
+
+
+
+
static void tests(math::ncr_modulo_p::NCRModuloP ncrObj)
Test implementations.
Definition: ncr_modulo_p.cpp:124
Class which contains all methods required for calculating nCr mod p.
Definition: ncr_modulo_p.cpp:31
int64_t ncr(const uint64_t &n, const uint64_t &r, const uint64_t &p)
Definition: ncr_modulo_p.cpp:92
+
diff --git a/de/dab/ncr__modulo__p_8cpp_af0a3e6827f41c151e47451f5ff98b1f1_cgraph.md5 b/de/dab/ncr__modulo__p_8cpp_af0a3e6827f41c151e47451f5ff98b1f1_cgraph.md5
new file mode 100644
index 000000000..94c86fdf7
--- /dev/null
+++ b/de/dab/ncr__modulo__p_8cpp_af0a3e6827f41c151e47451f5ff98b1f1_cgraph.md5
@@ -0,0 +1 @@
+a538ae273576cdda42d3b4905d6266ef
\ No newline at end of file
diff --git a/de/dab/ncr__modulo__p_8cpp_af0a3e6827f41c151e47451f5ff98b1f1_cgraph.svg b/de/dab/ncr__modulo__p_8cpp_af0a3e6827f41c151e47451f5ff98b1f1_cgraph.svg
new file mode 100644
index 000000000..12d87a7b3
--- /dev/null
+++ b/de/dab/ncr__modulo__p_8cpp_af0a3e6827f41c151e47451f5ff98b1f1_cgraph.svg
@@ -0,0 +1,173 @@
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+tests
+
+Node1
+
+tests
+
+
+
+
+Node2
+
+math::ncr_modulo_p
+::NCRModuloP::ncr
+
+
+
+
+Node1->Node2
+
+
+
+Node3
+
+math::ncr_modulo_p
+::NCRModuloP::modInverse
+
+
+
+
+Node2->Node3
+
+
+
+Node4
+
+math::ncr_modulo_p
+::NCRModuloP::gcdExtended
+
+
+
+
+Node3->Node4
+
+
+
+Node5
+
+gcd
+
+
+
+
+Node4->Node5
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/de/dab/ncr__modulo__p_8cpp_af0a3e6827f41c151e47451f5ff98b1f1_cgraph_org.svg b/de/dab/ncr__modulo__p_8cpp_af0a3e6827f41c151e47451f5ff98b1f1_cgraph_org.svg
new file mode 100644
index 000000000..9b9b2ca3e
--- /dev/null
+++ b/de/dab/ncr__modulo__p_8cpp_af0a3e6827f41c151e47451f5ff98b1f1_cgraph_org.svg
@@ -0,0 +1,85 @@
+
+
+
+
+
+
+tests
+
+Node1
+
+tests
+
+
+
+
+Node2
+
+math::ncr_modulo_p
+::NCRModuloP::ncr
+
+
+
+
+Node1->Node2
+
+
+
+Node3
+
+math::ncr_modulo_p
+::NCRModuloP::modInverse
+
+
+
+
+Node2->Node3
+
+
+
+Node4
+
+math::ncr_modulo_p
+::NCRModuloP::gcdExtended
+
+
+
+
+Node3->Node4
+
+
+
+Node5
+
+gcd
+
+
+
+
+Node4->Node5
+
+
+
diff --git a/de/dc3/fibonacci__sum_8cpp.html b/de/dc3/fibonacci__sum_8cpp.html
index 7b9972e1d..3d260c4ad 100644
--- a/de/dc3/fibonacci__sum_8cpp.html
+++ b/de/dc3/fibonacci__sum_8cpp.html
@@ -179,9 +179,9 @@ Functions
Returns uint64_t the sum of sequence
-
-
+
@@ -209,10 +209,10 @@ Here is the call graph for this function:
Main function.
Returns 0 on exit
-
-
-
-
+
@@ -255,17 +255,17 @@ Here is the call graph for this function:
Returns resultant matrix
-
-
-
-
-
42 result [0][0] = T[0][0]*A[0][0] + T[0][1]*A[1][0];
-
43 result [0][1] = T[0][0]*A[0][1] + T[0][1]*A[1][1];
-
44 result [1][0] = T[1][0]*A[0][0] + T[1][1]*A[1][0];
-
45 result [1][1] = T[1][0]*A[0][1] + T[1][1]*A[1][1];
-
-
-
+
+
+
+
+
43 result [0][0] = T[0][0] * A[0][0] + T[0][1] * A[1][0];
+
44 result [0][1] = T[0][0] * A[0][1] + T[0][1] * A[1][1];
+
45 result [1][0] = T[1][0] * A[0][0] + T[1][1] * A[1][0];
+
46 result [1][1] = T[1][0] * A[0][1] + T[1][1] * A[1][1];
+
+
+
@@ -308,19 +308,19 @@ Here is the call graph for this function:
Returns resultant matrix
-
-
-
58 if (ex == 0 || ex == 1) {
-
-
-
-
-
-
-
-
-
-
+
+
+
59 if (ex == 0 || ex == 1) {
+
+
+
+
+
+
+
+
+
+
@@ -352,13 +352,13 @@ Here is the call graph for this function:
Returns uint64_t ans, the sum of sequence
-
-
-
-
78 uint64_t
ans = T[0][1];
-
-
-
+
+
+
+
79 uint64_t
ans = T[0][1];
+
+
+
@@ -391,36 +391,36 @@ Here is the call graph for this function:
Function for testing fiboSum function. test cases and assert statement.
Returns void
-
-
101 uint64_t n = 0, m = 3;
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
121 assert(test_4 == 123);
-
-
-
-
-
-
127 assert(test_5 == 322);
-
-
+
+
102 uint64_t n = 0, m = 3;
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
122 assert(test_4 == 123);
+
+
+
+
+
+
128 assert(test_5 == 322);
+
+
@@ -432,18 +432,18 @@ Here is the call graph for this function:
-
math::fibonacci_sum::matrix power(math::fibonacci_sum::matrix T, uint64_t ex)
Definition: fibonacci_sum.cpp:56
+
math::fibonacci_sum::matrix power(math::fibonacci_sum::matrix T, uint64_t ex)
Definition: fibonacci_sum.cpp:57
static void test_3()
Definition: heavy_light_decomposition.cpp:592
static void test_2()
Definition: heavy_light_decomposition.cpp:549
ll ans(ll n)
Definition: matrix_exponentiation.cpp:91
-
uint64_t fiboSum(uint64_t n, uint64_t m)
Definition: fibonacci_sum.cpp:89
-
static void test()
Definition: fibonacci_sum.cpp:100
+
uint64_t fiboSum(uint64_t n, uint64_t m)
Definition: fibonacci_sum.cpp:90
+
static void test()
Definition: fibonacci_sum.cpp:101
static void test_1()
Definition: heavy_light_decomposition.cpp:505
std::vector< std::valarray< T > > multiply(const std::vector< std::valarray< T >> &A, const std::vector< std::valarray< T >> &B)
Definition: vector_ops.hpp:460
-
uint64_t result(uint64_t n)
Definition: fibonacci_sum.cpp:75
+
uint64_t result(uint64_t n)
Definition: fibonacci_sum.cpp:76
diff --git a/functions_func_g.html b/functions_func_g.html
index 48ba24546..c4ffc101f 100644
--- a/functions_func_g.html
+++ b/functions_func_g.html
@@ -96,6 +96,9 @@ $(document).ready(function(){initNavTree('functions_func_g.html',''); initResiza
gcd()
: ciphers::HillCipher
+
gcdExtended()
+: math::ncr_modulo_p::NCRModuloP
+
generate_decryption_key()
: ciphers::HillCipher
diff --git a/functions_func_m.html b/functions_func_m.html
index e6aef0ee9..c4761ffe1 100644
--- a/functions_func_m.html
+++ b/functions_func_m.html
@@ -106,6 +106,9 @@ $(document).ready(function(){initNavTree('functions_func_m.html',''); initResiza
MinHeapify()
: MinHeap
+
modInverse()
+: math::ncr_modulo_p::NCRModuloP
+
multiply()
: large_number
diff --git a/functions_func_n.html b/functions_func_n.html
index 26a53099d..1397d168e 100644
--- a/functions_func_n.html
+++ b/functions_func_n.html
@@ -93,8 +93,14 @@ $(document).ready(function(){initNavTree('functions_func_n.html',''); initResiza
diff --git a/hierarchy.js b/hierarchy.js
index 57187bf44..cac73abe8 100644
--- a/hierarchy.js
+++ b/hierarchy.js
@@ -10,15 +10,15 @@ var hierarchy =
[ "machine_learning::neural_network::layers::DenseLayer", "dc/d93/classmachine__learning_1_1neural__network_1_1layers_1_1_dense_layer.html", null ],
[ "double_linked_list", "d9/dee/classdouble__linked__list.html", null ],
[ "Edge", "d7/d77/class_edge.html", null ],
+ [ "quadratic_probing::Entry", "da/dd1/structquadratic__probing_1_1_entry.html", null ],
[ "double_hashing::Entry", "d9/dde/structdouble__hashing_1_1_entry.html", null ],
[ "linear_probing::Entry", "db/d19/structlinear__probing_1_1_entry.html", null ],
- [ "quadratic_probing::Entry", "da/dd1/structquadratic__probing_1_1_entry.html", null ],
[ "FenwickTree", "dd/d91/class_fenwick_tree.html", null ],
+ [ "graph::is_graph_bipartite::Graph", "de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html", null ],
[ "Graph", "da/d9a/class_graph.html", null ],
[ "graph::Graph< T >", "dc/d61/classgraph_1_1_graph.html", [
[ "graph::RootedTree", "d0/d58/classgraph_1_1_rooted_tree.html", null ]
] ],
- [ "graph::is_graph_bipartite::Graph", "de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html", null ],
[ "hash_chain", "dd/d1c/classhash__chain.html", null ],
[ "ciphers::HillCipher", "d6/d26/classciphers_1_1_hill_cipher.html", null ],
[ "graph::HKGraph", "d8/d69/classgraph_1_1_h_k_graph.html", null ],
@@ -32,16 +32,17 @@ var hierarchy =
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[ "MinHeapNode", "d5/d29/struct_min_heap_node.html", null ],
[ "mst", "d1/d77/structmst.html", null ],
+ [ "math::ncr_modulo_p::NCRModuloP", "d6/dc1/classmath_1_1ncr__modulo__p_1_1_n_c_r_modulo_p.html", null ],
[ "machine_learning::neural_network::NeuralNetwork", "d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html", null ],
+ [ "Node", "db/d8b/struct_node.html", null ],
[ "data_structures::Node", "d9/d49/structdata__structures_1_1_node.html", null ],
[ "node< Kind >", "d5/da1/structnode.html", null ],
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[ "node< Type >", "d5/da1/structnode.html", null ],
- [ "Point", "d8/dc8/struct_point.html", null ],
[ "geometry::jarvis::Point", "d9/d5a/structgeometry_1_1jarvis_1_1_point.html", null ],
+ [ "Point", "d8/dc8/struct_point.html", null ],
[ "query", "dd/d1b/structquery.html", null ],
- [ "Queue", "dc/db5/struct_queue.html", null ],
[ "queue< Kind >", "db/da9/classqueue.html", null ],
+ [ "Queue", "dc/db5/struct_queue.html", null ],
[ "data_structures::queue_using_array::Queue_Array", "d6/d04/classdata__structures_1_1queue__using__array_1_1_queue___array.html", null ],
[ "SegmentIntersection", "d4/db4/struct_segment_intersection.html", null ],
[ "range_queries::heavy_light_decomposition::SG< X >", "d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html", [
@@ -49,8 +50,8 @@ var hierarchy =
] ],
[ "data_structures::SkipList", "d4/d90/classdata__structures_1_1_skip_list.html", null ],
[ "Solution", "dd/d4f/class_solution.html", null ],
- [ "others::postfix_expression::Stack", "d5/d8a/classothers_1_1postfix__expression_1_1_stack.html", null ],
[ "stack< Type >", "d1/dc2/classstack.html", null ],
+ [ "others::postfix_expression::Stack", "d5/d8a/classothers_1_1postfix__expression_1_1_stack.html", null ],
[ "stack_linkedList", "d2/dc4/classstack__linked_list.html", null ],
[ "statistics::stats_computer1< T >", "d7/d7c/classstatistics_1_1stats__computer1.html", null ],
[ "statistics::stats_computer2< T >", "d8/dab/classstatistics_1_1stats__computer2.html", null ],
@@ -58,7 +59,7 @@ var hierarchy =
[ "range_queries::heavy_light_decomposition::Tree< X >", "d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html", [
[ "range_queries::heavy_light_decomposition::HLD< X >", "d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html", null ]
] ],
- [ "Trie", "dd/d2f/class_trie.html", null ],
[ "data_structures::trie", "d0/d3e/classdata__structures_1_1trie.html", null ],
+ [ "Trie", "dd/d2f/class_trie.html", null ],
[ "Trie::TrieNode", "de/d48/struct_trie_1_1_trie_node.html", null ]
];
\ No newline at end of file
diff --git a/inherit_graph_32.map b/inherit_graph_32.map
index 077c61d17..1baafddef 100644
--- a/inherit_graph_32.map
+++ b/inherit_graph_32.map
@@ -1,3 +1,3 @@
-
diff --git a/inherit_graph_32.md5 b/inherit_graph_32.md5
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index 1a83d7131..bc1ce1b51 100644
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index 020b7c340..1626a6c08 100644
--- a/inherits.html
+++ b/inherits.html
@@ -161,49 +161,51 @@ $(document).ready(function(){initNavTree('hierarchy.html',''); initResizable();
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diff --git a/namespaces_dup.js b/namespaces_dup.js
index d0cbbc677..009b5e2d1 100644
--- a/namespaces_dup.js
+++ b/namespaces_dup.js
@@ -34,6 +34,7 @@ var namespaces_dup =
[ "n_queens", "d3/da1/namespacen__queens.html", null ],
[ "n_queens_all_solutions", "df/d44/namespacen__queens__all__solutions.html", null ],
[ "n_queens_optimized", "d8/d14/namespacen__queens__optimized.html", null ],
+ [ "ncr_modulo_p", "d4/db9/namespacencr__modulo__p.html", null ],
[ "neural_network", "d0/d2e/namespaceneural__network.html", null ],
[ "numerical_methods", "d1/de0/namespacenumerical__methods.html", null ],
[ "others", "d0/d6f/namespaceothers.html", null ],
diff --git a/navtreedata.js b/navtreedata.js
index 0a7d566eb..d2ace48d9 100644
--- a/navtreedata.js
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+"de/d47/string__fibonacci_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4",
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];
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Public Member Functions inherited from graph::Graph< T >
1.8.20