diff --git a/d1/dbb/n__choose__r_8cpp.html b/d1/dbb/n__choose__r_8cpp.html
new file mode 100644
index 000000000..f4895eb7d
--- /dev/null
+++ b/d1/dbb/n__choose__r_8cpp.html
@@ -0,0 +1,254 @@
+
+
+
+
+
+
+
+Algorithms_in_C++: math/n_choose_r.cpp File Reference
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ Algorithms_in_C++
+ 1.0.0
+
+ Set of algorithms implemented in C++.
+
+
+
+
+
+
+
+
+
+
+
+
+
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+
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+
+
Combinations n choose r function implementation
+More...
+
#include <iostream>
+#include <cassert>
+
+
+template<class T >
+T math::n_choose_r (T n, T r)
+ This is the function implementation of \( \binom{n}{r} \). More...
+
+static void test ()
+ Test implementations. More...
+
+int main (int argc, char *argv[])
+ Main function. More...
+
+
+
+
Combinations n choose r function implementation
+
A very basic and efficient method of calculating choosing r from n different choices. \( \binom{n}{r} = \frac{n!}{r! (n-r)!} \)
+
Author Tajmeet Singh
+
+
+
◆ main()
+
+
+
+
+
+ int main
+ (
+ int
+ argc ,
+
+
+
+
+ char *
+ argv []
+
+
+
+ )
+
+
+
+
+
+
Main function.
+
Parameters
+
+ argc commandline argument count (ignored)
+ argv commandline array of arguments (ignored)
+
+
+
+
Returns 0 on exit
+
+
+
+
+
+
+
◆ test()
+
+
+
+
+
+
+
+
+ static void test
+ (
+ )
+
+
+
+
+
+static
+
+
+
+
+
Test implementations.
+
Returns void
+
+
+
+
52 assert(((
void )
"10 is the answer but function says otherwise.\n" ,
+
+
+
+
+
57 assert(((
void )
"10 is the answer but the function says otherwise.\n" ,
+
+
+
+
+
62 assert(((
void )
"3 is the answer but the function says otherwise.\n" ,
+
+
+
+
+
67 assert(((
void )
"210 is the answer but the function says otherwise.\n" ,
+
+
+
+
+
+
+
+
+
+
+static void test()
Test implementations.
Definition: n_choose_r.cpp:49
+
+T n_choose_r(T n, T r)
This is the function implementation of .
Definition: n_choose_r.cpp:33
+
+
+
+
+
diff --git a/d1/dbb/n__choose__r_8cpp.js b/d1/dbb/n__choose__r_8cpp.js
new file mode 100644
index 000000000..2ce282bea
--- /dev/null
+++ b/d1/dbb/n__choose__r_8cpp.js
@@ -0,0 +1,6 @@
+var n__choose__r_8cpp =
+[
+ [ "main", "d1/dbb/n__choose__r_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97", null ],
+ [ "n_choose_r", "d1/dbb/n__choose__r_8cpp.html#a6e2dff75c5de70455b90c799d6ad6967", null ],
+ [ "test", "d1/dbb/n__choose__r_8cpp.html#aa8dca7b867074164d5f45b0f3851269d", null ]
+];
\ No newline at end of file
diff --git a/d1/dbb/n__choose__r_8cpp_a0ddf1224851353fc92bfbff6f499fa97_cgraph.map b/d1/dbb/n__choose__r_8cpp_a0ddf1224851353fc92bfbff6f499fa97_cgraph.map
new file mode 100644
index 000000000..982bb8926
--- /dev/null
+++ b/d1/dbb/n__choose__r_8cpp_a0ddf1224851353fc92bfbff6f499fa97_cgraph.map
@@ -0,0 +1,7 @@
+
+
+
+
+
+
+
diff --git a/d1/dbb/n__choose__r_8cpp_a0ddf1224851353fc92bfbff6f499fa97_cgraph.md5 b/d1/dbb/n__choose__r_8cpp_a0ddf1224851353fc92bfbff6f499fa97_cgraph.md5
new file mode 100644
index 000000000..9cb15f592
--- /dev/null
+++ b/d1/dbb/n__choose__r_8cpp_a0ddf1224851353fc92bfbff6f499fa97_cgraph.md5
@@ -0,0 +1 @@
+f293deaa75e9449d2720089bdb46b4ed
\ No newline at end of file
diff --git a/d1/dbb/n__choose__r_8cpp_a0ddf1224851353fc92bfbff6f499fa97_cgraph.svg b/d1/dbb/n__choose__r_8cpp_a0ddf1224851353fc92bfbff6f499fa97_cgraph.svg
new file mode 100644
index 000000000..7e599c7fe
--- /dev/null
+++ b/d1/dbb/n__choose__r_8cpp_a0ddf1224851353fc92bfbff6f499fa97_cgraph.svg
@@ -0,0 +1,82 @@
+
+
+
+
+
+
+main
+
+
+
+Node1
+
+
+main
+
+
+
+
+
+Node2
+
+
+test
+
+
+
+
+
+Node1->Node2
+
+
+
+
+
+Node3
+
+
+std::endl
+
+
+
+
+
+Node2->Node3
+
+
+
+
+
+Node4
+
+
+math::n_choose_r
+
+
+
+
+
+Node2->Node4
+
+
+
+
+
+Node5
+
+
+ans
+
+
+
+
+
+Node4->Node5
+
+
+
+
+
diff --git a/d1/dbb/n__choose__r_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map b/d1/dbb/n__choose__r_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map
new file mode 100644
index 000000000..6e87c1845
--- /dev/null
+++ b/d1/dbb/n__choose__r_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map
@@ -0,0 +1,6 @@
+
+
+
+
+
+
diff --git a/d1/dbb/n__choose__r_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 b/d1/dbb/n__choose__r_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5
new file mode 100644
index 000000000..1f4d034d0
--- /dev/null
+++ b/d1/dbb/n__choose__r_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5
@@ -0,0 +1 @@
+c283964035cd9e96a6c0630a3d83cb04
\ No newline at end of file
diff --git a/d1/dbb/n__choose__r_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg b/d1/dbb/n__choose__r_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg
new file mode 100644
index 000000000..8e57b4822
--- /dev/null
+++ b/d1/dbb/n__choose__r_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg
@@ -0,0 +1,67 @@
+
+
+
+
+
+
+test
+
+
+
+Node1
+
+
+test
+
+
+
+
+
+Node2
+
+
+std::endl
+
+
+
+
+
+Node1->Node2
+
+
+
+
+
+Node3
+
+
+math::n_choose_r
+
+
+
+
+
+Node1->Node3
+
+
+
+
+
+Node4
+
+
+ans
+
+
+
+
+
+Node3->Node4
+
+
+
+
+
diff --git a/d1/dbe/lu__decomposition_8h_source.html b/d1/dbe/lu__decomposition_8h_source.html
index 8f48c556b..e19abade0 100644
--- a/d1/dbe/lu__decomposition_8h_source.html
+++ b/d1/dbe/lu__decomposition_8h_source.html
@@ -229,6 +229,7 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
static void test()
Definition: modular_exponentiation.cpp:60
int multiply(int x, int res[], int res_size)
Definition: power_for_huge_numbers.cpp:25
static void test_2()
Definition: heavy_light_decomposition.cpp:549
+static void test()
Test implementations.
Definition: n_choose_r.cpp:49
ll ans(ll n)
Definition: matrix_exponentiation.cpp:91
int main()
Definition: sieve_of_eratosthenes.cpp:65
static float eq(float x)
This function gives the value of f(x) for given x.
Definition: false_position.cpp:44
@@ -243,6 +244,7 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
int sgn(T val)
Definition: bisection_method.cpp:32
double std() const
Definition: realtime_stats.cpp:48
std::vector< std::pair< int, int > > factors
Definition: prime_factorization.cpp:19
+int main(int argc, char *argv[])
Main function.
Definition: n_choose_r.cpp:78
int main()
Definition: prime_factorization.cpp:62
std::vector< T > reverse_binary(T num)
Definition: miller_rabin.cpp:19
@@ -300,6 +302,7 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
bool miller_test(T d, T num)
Definition: miller_rabin.cpp:73
int main()
Definition: least_common_multiple.cpp:78
int lu_decomposition(const matrix< T > &A, matrix< double > *L, matrix< double > *U)
Definition: lu_decomposition.h:29
+T n_choose_r(T n, T r)
This is the function implementation of .
Definition: n_choose_r.cpp:33
static void test_1()
Definition: heavy_light_decomposition.cpp:505
int64_t binExpo(int64_t a, int64_t b, int64_t m)
Definition: modular_inverse_fermat_little_theorem.cpp:52
uint64_t binomialCoeffSum(uint64_t n)
Definition: sum_of_binomial_coefficient.cpp:24
diff --git a/d5/d88/md__d_i_r_e_c_t_o_r_y.html b/d5/d88/md__d_i_r_e_c_t_o_r_y.html
index 25fef05e8..cc2769e86 100644
--- a/d5/d88/md__d_i_r_e_c_t_o_r_y.html
+++ b/d5/d88/md__d_i_r_e_c_t_o_r_y.html
@@ -273,6 +273,7 @@ Math
Miller Rabin
Modular Exponentiation
Modular Inverse Fermat Little Theorem
+N Choose R
Number Of Positive Divisors
Power For Huge Numbers
Prime Factorization
diff --git a/d6/df6/n__choose__r_8cpp__incl.map b/d6/df6/n__choose__r_8cpp__incl.map
new file mode 100644
index 000000000..7fc9637e0
--- /dev/null
+++ b/d6/df6/n__choose__r_8cpp__incl.map
@@ -0,0 +1,5 @@
+
+
+
+
+
diff --git a/d6/df6/n__choose__r_8cpp__incl.md5 b/d6/df6/n__choose__r_8cpp__incl.md5
new file mode 100644
index 000000000..e92e409cf
--- /dev/null
+++ b/d6/df6/n__choose__r_8cpp__incl.md5
@@ -0,0 +1 @@
+b43e907afd9dfacf15ee78723042ddad
\ No newline at end of file
diff --git a/d6/df6/n__choose__r_8cpp__incl.svg b/d6/df6/n__choose__r_8cpp__incl.svg
new file mode 100644
index 000000000..2acee178b
--- /dev/null
+++ b/d6/df6/n__choose__r_8cpp__incl.svg
@@ -0,0 +1,52 @@
+
+
+
+
+
+
+math/n_choose_r.cpp
+
+
+
+Node1
+
+
+math/n_choose_r.cpp
+
+
+
+
+
+Node2
+
+
+iostream
+
+
+
+
+
+Node1->Node2
+
+
+
+
+
+Node3
+
+
+cassert
+
+
+
+
+
+Node1->Node3
+
+
+
+
+
diff --git a/dd/d47/namespacemath.html b/dd/d47/namespacemath.html
index 58433d448..95aa2344d 100644
--- a/dd/d47/namespacemath.html
+++ b/dd/d47/namespacemath.html
@@ -109,12 +109,17 @@ Functions
uint64_t power (uint64_t a, uint64_t b, uint64_t c)
This function calculates a raised to exponent b under modulo c using modular exponentiation. More...
+template<class T >
+T n_choose_r (T n, T r)
+ This is the function implementation of \( \binom{n}{r} \). More...
+
uint64_t binomialCoeffSum (uint64_t n)
for std::vector
for assert
+
Mathematical algorithms.
for io operations
for assert for std::cin and std::cout
Mathematical algorithms
@@ -122,6 +127,7 @@ Functions
Mathematical algorithms
for assert
Mathematical algorithms
+
for io operations for assert
for std::cin and std::cout
Mathematical algorithms
@@ -245,6 +251,68 @@ Functions
+
+
+
+◆ n_choose_r()
+
+
+
+
+template<class T >
+
+
+ T math::n_choose_r
+ (
+ T
+ n ,
+
+
+
+
+ T
+ r
+
+
+
+ )
+
+
+
+
+
+
This is the function implementation of \( \binom{n}{r} \).
+
We are calculating the ans with iterations instead of calculating three different factorials. Also, we are using the fact that \( \frac{n!}{r! (n-r)!} = \frac{(n - r + 1) \times \cdots \times n}{1 \times \cdots \times r} \)
Template Parameters
+
+ T Only for integer types such as long, int_64 etc
+
+
+
+
Parameters
+
+ n \( n \) in \( \binom{n}{r} \)
+ r \( r \) in \( \binom{n}{r} \)
+
+
+
+
Returns ans \( \binom{n}{r} \)
+
+
+
+
+
37 for (
int i = 1; i <= r; i++) {
+
+
+
+
+
+
+
+
diff --git a/dd/d47/namespacemath_a6e2dff75c5de70455b90c799d6ad6967_cgraph.map b/dd/d47/namespacemath_a6e2dff75c5de70455b90c799d6ad6967_cgraph.map
new file mode 100644
index 000000000..cf843031f
--- /dev/null
+++ b/dd/d47/namespacemath_a6e2dff75c5de70455b90c799d6ad6967_cgraph.map
@@ -0,0 +1,4 @@
+
+
+
+
diff --git a/dd/d47/namespacemath_a6e2dff75c5de70455b90c799d6ad6967_cgraph.md5 b/dd/d47/namespacemath_a6e2dff75c5de70455b90c799d6ad6967_cgraph.md5
new file mode 100644
index 000000000..74819b51a
--- /dev/null
+++ b/dd/d47/namespacemath_a6e2dff75c5de70455b90c799d6ad6967_cgraph.md5
@@ -0,0 +1 @@
+515b67a2cdbaa5ba6f29e970e7f43c6b
\ No newline at end of file
diff --git a/dd/d47/namespacemath_a6e2dff75c5de70455b90c799d6ad6967_cgraph.svg b/dd/d47/namespacemath_a6e2dff75c5de70455b90c799d6ad6967_cgraph.svg
new file mode 100644
index 000000000..8ae911723
--- /dev/null
+++ b/dd/d47/namespacemath_a6e2dff75c5de70455b90c799d6ad6967_cgraph.svg
@@ -0,0 +1,37 @@
+
+
+
+
+
+
+math::n_choose_r
+
+
+
+Node1
+
+
+math::n_choose_r
+
+
+
+
+
+Node2
+
+
+ans
+
+
+
+
+
+Node1->Node2
+
+
+
+
+
diff --git a/dir_296d53ceaeaa7e099814a6def439fe8a.html b/dir_296d53ceaeaa7e099814a6def439fe8a.html
index f78bc9029..1cb21bde5 100644
--- a/dir_296d53ceaeaa7e099814a6def439fe8a.html
+++ b/dir_296d53ceaeaa7e099814a6def439fe8a.html
@@ -173,6 +173,9 @@ Files
file modular_inverse_fermat_little_theorem.cpp
C++ Program to find the modular inverse using Fermat's Little Theorem
+file n_choose_r.cpp
+ Combinations n choose r function implementation
+
file number_of_positive_divisors.cpp
C++ Program to calculate the number of positive divisors.
diff --git a/dir_296d53ceaeaa7e099814a6def439fe8a.js b/dir_296d53ceaeaa7e099814a6def439fe8a.js
index c173df53e..d8c8eb126 100644
--- a/dir_296d53ceaeaa7e099814a6def439fe8a.js
+++ b/dir_296d53ceaeaa7e099814a6def439fe8a.js
@@ -28,6 +28,7 @@ var dir_296d53ceaeaa7e099814a6def439fe8a =
[ "miller_rabin.cpp", "d6/d42/miller__rabin_8cpp.html", "d6/d42/miller__rabin_8cpp" ],
[ "modular_exponentiation.cpp", "d0/d6d/modular__exponentiation_8cpp.html", "d0/d6d/modular__exponentiation_8cpp" ],
[ "modular_inverse_fermat_little_theorem.cpp", "d8/d53/modular__inverse__fermat__little__theorem_8cpp.html", "d8/d53/modular__inverse__fermat__little__theorem_8cpp" ],
+ [ "n_choose_r.cpp", "d1/dbb/n__choose__r_8cpp.html", "d1/dbb/n__choose__r_8cpp" ],
[ "number_of_positive_divisors.cpp", "d0/da2/number__of__positive__divisors_8cpp.html", "d0/da2/number__of__positive__divisors_8cpp" ],
[ "power_for_huge_numbers.cpp", "df/def/power__for__huge__numbers_8cpp.html", "df/def/power__for__huge__numbers_8cpp" ],
[ "prime_factorization.cpp", "db/d0d/prime__factorization_8cpp.html", "db/d0d/prime__factorization_8cpp" ],
diff --git a/files.html b/files.html
index b3ff7b43c..ed5199784 100644
--- a/files.html
+++ b/files.html
@@ -194,17 +194,18 @@ solve-a-rat-in-a-maze-c-java-pytho/">Rat in a Maze algorithm
miller_rabin.cpp
modular_exponentiation.cpp C++ Program for Modular Exponentiation Iteratively
modular_inverse_fermat_little_theorem.cpp C++ Program to find the modular inverse using Fermat's Little Theorem
- number_of_positive_divisors.cpp C++ Program to calculate the number of positive divisors
- power_for_huge_numbers.cpp Compute powers of large numbers
- prime_factorization.cpp Prime factorization of positive integers
- prime_numbers.cpp Get list of prime numbers
- primes_up_to_billion.cpp Compute prime numbers upto 1 billion
- realtime_stats.cpp Compute statistics for data entered in rreal-time
- sieve_of_eratosthenes.cpp Get list of prime numbers using Sieve of Eratosthenes
- sqrt_double.cpp Calculate the square root of any positive real number in \(O(\log N)\) time, with precision fixed using bisection method of root-finding
- string_fibonacci.cpp This Programme returns the Nth fibonacci as a string
- sum_of_binomial_coefficient.cpp Algorithm to find sum of binomial coefficients of a given positive integer
- sum_of_digits.cpp A C++ Program to find the Sum of Digits of input integer
+ n_choose_r.cpp Combinations n choose r function implementation
+ number_of_positive_divisors.cpp C++ Program to calculate the number of positive divisors
+ power_for_huge_numbers.cpp Compute powers of large numbers
+ prime_factorization.cpp Prime factorization of positive integers
+ prime_numbers.cpp Get list of prime numbers
+ primes_up_to_billion.cpp Compute prime numbers upto 1 billion
+ realtime_stats.cpp Compute statistics for data entered in rreal-time
+ sieve_of_eratosthenes.cpp Get list of prime numbers using Sieve of Eratosthenes
+ sqrt_double.cpp Calculate the square root of any positive real number in \(O(\log N)\) time, with precision fixed using bisection method of root-finding
+ string_fibonacci.cpp This Programme returns the Nth fibonacci as a string
+ sum_of_binomial_coefficient.cpp Algorithm to find sum of binomial coefficients of a given positive integer
+ sum_of_digits.cpp A C++ Program to find the Sum of Digits of input integer
► numerical_methods
bisection_method.cpp Solve the equation \(f(x)=0\) using bisection method
brent_method_extrema.cpp Find real extrema of a univariate real function in a given interval using Brent's method
diff --git a/globals_func_i.html b/globals_func_i.html
index abdeb1215..036092ccf 100644
--- a/globals_func_i.html
+++ b/globals_func_i.html
@@ -123,12 +123,12 @@ $(document).ready(function(){initNavTree('globals_func_i.html',''); initResizabl
is_square()
: ordinary_least_squares_regressor.cpp
-isPrime()
-: modular_inverse_fermat_little_theorem.cpp
-
IsPrime()
: primality_test.cpp
+isPrime()
+: modular_inverse_fermat_little_theorem.cpp
+
it_ternary_search()
: ternary_search.cpp
diff --git a/globals_func_m.html b/globals_func_m.html
index 82640e46a..9ee36e419 100644
--- a/globals_func_m.html
+++ b/globals_func_m.html
@@ -101,14 +101,14 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl
, linked_list.cpp
, breadth_first_search.cpp
, fibonacci_fast.cpp
+, hash_search.cpp
, interpolation_search.cpp
-, interpolation_search2.cpp
, fibonacci_sum.cpp
+, interpolation_search2.cpp
, linear_search.cpp
-, median_search.cpp
, connected_components.cpp
, gcd_iterative_euclidean.cpp
-, ternary_search.cpp
+, median_search.cpp
, rabin_karp.cpp
, knuth_morris_pratt.cpp
, horspool.cpp
@@ -126,15 +126,15 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl
, heap_sort.cpp
, gnome_sort.cpp
, cycle_sort.cpp
-, text_search.cpp
-, gcd_of_n_numbers.cpp
-, bogo_sort.cpp
, comb_sort.cpp
+, ternary_search.cpp
+, gcd_of_n_numbers.cpp
+, text_search.cpp
+, bogo_sort.cpp
, linkedlist_implentation_usingarray.cpp
, depth_first_search.cpp
, gcd_recursive_euclidean.cpp
, large_factorial.cpp
-, hash_search.cpp
, fibonacci_search.cpp
, exponential_search.cpp
, binary_search.cpp
@@ -186,6 +186,7 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl
, prime_factorization.cpp
, power_for_huge_numbers.cpp
, number_of_positive_divisors.cpp
+, n_choose_r.cpp
, modular_inverse_fermat_little_theorem.cpp
, modular_exponentiation.cpp
, miller_rabin.cpp
diff --git a/globals_func_t.html b/globals_func_t.html
index 8b48e4748..922ea9b47 100644
--- a/globals_func_t.html
+++ b/globals_func_t.html
@@ -101,21 +101,22 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
, morse_code.cpp
, 0_1_knapsack.cpp
, jumpgame.cpp
+, bogo_sort.cpp
, cycle_sort.cpp
-, gnome_sort.cpp
, gram_schmidt.cpp
+, gnome_sort.cpp
, heap_sort.cpp
-, merge_insertion_sort.cpp
, coin_change_topdown.cpp
, neural_network.cpp
+, merge_insertion_sort.cpp
, pancake_sort.cpp
-, strand_sort.cpp
, armstrong_number.cpp
+, strand_sort.cpp
, wiggle_sort.cpp
-, horspool.cpp
, vigenere_cipher.cpp
, cut_rod.cpp
, check_amicable_pair.cpp
+, horspool.cpp
, double_factorial.cpp
, palindrome_partitioning.cpp
, fibonacci.cpp
@@ -126,15 +127,15 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
, lcm_sum.cpp
, modular_exponentiation.cpp
, word_break.cpp
+, n_choose_r.cpp
, sum_of_binomial_coefficient.cpp
-, sum_of_digits.cpp
, trie_tree.cpp
, jarvis_algorithm.cpp
+, sum_of_digits.cpp
, rungekutta.cpp
-, smallest_circle.cpp
, is_graph_bipartite.cpp
+, smallest_circle.cpp
, median_search.cpp
-, bogo_sort.cpp
test1()
: hill_cipher.cpp
@@ -151,19 +152,19 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
, qr_eigen_values.cpp
test2()
-: smallest_circle.cpp
-, brent_method_extrema.cpp
-, qr_eigen_values.cpp
+: qr_eigen_values.cpp
+, sum_of_digits.cpp
+, smallest_circle.cpp
+, lu_decompose.cpp
, hill_cipher.cpp
, hamiltons_cycle.cpp
, adaline_learning.cpp
, kohonen_som_topology.cpp
, kohonen_som_trace.cpp
, large_factorial.cpp
-, sum_of_digits.cpp
+, brent_method_extrema.cpp
, durand_kerner_roots.cpp
, golden_search_extrema.cpp
-, lu_decompose.cpp
test3()
: hamiltons_cycle.cpp
@@ -171,16 +172,16 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
, kohonen_som_topology.cpp
, kohonen_som_trace.cpp
, brent_method_extrema.cpp
-, golden_search_extrema.cpp
, smallest_circle.cpp
+, golden_search_extrema.cpp
test_1()
: heavy_light_decomposition.cpp
, pigeonhole_sort.cpp
test_2()
-: heavy_light_decomposition.cpp
-, pigeonhole_sort.cpp
+: pigeonhole_sort.cpp
+, heavy_light_decomposition.cpp
test_2d_classes()
: kohonen_som_topology.cpp
@@ -217,29 +218,29 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
: postfix_evaluation.cpp
test_int()
-: quick_sort_3.cpp
-, shell_sort2.cpp
+: shell_sort2.cpp
+, quick_sort_3.cpp
test_lamniscate()
: kohonen_som_trace.cpp
tests()
-: comb_sort.cpp
-, number_of_positive_divisors.cpp
+: number_of_positive_divisors.cpp
+, sieve_of_eratosthenes.cpp
+, complex_numbers.cpp
, radix_sort2.cpp
, double_factorial.cpp
, check_factorial.cpp
-, complex_numbers.cpp
-, hopcroft_karp.cpp
, dijkstra.cpp
-, sieve_of_eratosthenes.cpp
-, least_common_multiple.cpp
+, hopcroft_karp.cpp
+, magic_number.cpp
, lowest_common_ancestor.cpp
, miller_rabin.cpp
+, comb_sort.cpp
, insertion_sort.cpp
+, least_common_multiple.cpp
, breadth_first_search.cpp
, connected_components.cpp
-, magic_number.cpp
TH()
: tower_of_hanoi.cpp
diff --git a/globals_i.html b/globals_i.html
index 190ee4a2c..42dc8f695 100644
--- a/globals_i.html
+++ b/globals_i.html
@@ -123,15 +123,15 @@ $(document).ready(function(){initNavTree('globals_i.html',''); initResizable();
is_square()
: ordinary_least_squares_regressor.cpp
+isprime
+: prime_factorization.cpp
+
isPrime()
: modular_inverse_fermat_little_theorem.cpp
IsPrime()
: primality_test.cpp
-isprime
-: prime_factorization.cpp
-
it_ternary_search()
: ternary_search.cpp
diff --git a/globals_m.html b/globals_m.html
index 785d71e78..cbd77e865 100644
--- a/globals_m.html
+++ b/globals_m.html
@@ -101,25 +101,25 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
, linked_list.cpp
, breadth_first_search.cpp
, fibonacci_fast.cpp
+, hash_search.cpp
, interpolation_search.cpp
-, interpolation_search2.cpp
, fibonacci_sum.cpp
+, interpolation_search2.cpp
, linear_search.cpp
-, median_search.cpp
, connected_components.cpp
, gcd_iterative_euclidean.cpp
+, median_search.cpp
, ternary_search.cpp
-, text_search.cpp
, gcd_of_n_numbers.cpp
+, text_search.cpp
, bogo_sort.cpp
-, comb_sort.cpp
, linkedlist_implentation_usingarray.cpp
, depth_first_search.cpp
, gcd_recursive_euclidean.cpp
+, comb_sort.cpp
, cycle_sort.cpp
-, gnome_sort.cpp
, large_factorial.cpp
-, heap_sort.cpp
+, gnome_sort.cpp
, rabin_karp.cpp
, knuth_morris_pratt.cpp
, horspool.cpp
@@ -131,11 +131,12 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
, quick_sort.cpp
, pigeonhole_sort.cpp
, pancake_sort.cpp
-, insertion_sort.cpp
+, merge_sort.cpp
+, heap_sort.cpp
, dijkstra.cpp
, lcm_sum.cpp
+, insertion_sort.cpp
, merge_insertion_sort.cpp
-, merge_sort.cpp
, least_common_multiple.cpp
, caesar_cipher.cpp
, queue_using_array.cpp
@@ -145,7 +146,6 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
, hopcroft_karp.cpp
, modular_exponentiation.cpp
, modular_inverse_fermat_little_theorem.cpp
-, hash_search.cpp
, fibonacci_search.cpp
, exponential_search.cpp
, binary_search.cpp
@@ -195,10 +195,11 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
, primes_up_to_billion.cpp
, prime_numbers.cpp
, prime_factorization.cpp
+, power_for_huge_numbers.cpp
, queue_using_two_stacks.cpp
, is_graph_bipartite.cpp
+, n_choose_r.cpp
, number_of_positive_divisors.cpp
-, power_for_huge_numbers.cpp
, lowest_common_ancestor.cpp
, n_queens_all_solution_optimised.cpp
, hill_cipher.cpp
diff --git a/globals_t.html b/globals_t.html
index feab11fa8..0b0921a91 100644
--- a/globals_t.html
+++ b/globals_t.html
@@ -101,21 +101,22 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
, morse_code.cpp
, 0_1_knapsack.cpp
, jumpgame.cpp
+, bogo_sort.cpp
, cycle_sort.cpp
-, gnome_sort.cpp
, gram_schmidt.cpp
+, gnome_sort.cpp
, heap_sort.cpp
-, merge_insertion_sort.cpp
, coin_change_topdown.cpp
, neural_network.cpp
+, merge_insertion_sort.cpp
, pancake_sort.cpp
-, strand_sort.cpp
, armstrong_number.cpp
+, strand_sort.cpp
, wiggle_sort.cpp
-, horspool.cpp
, vigenere_cipher.cpp
, cut_rod.cpp
, check_amicable_pair.cpp
+, horspool.cpp
, double_factorial.cpp
, palindrome_partitioning.cpp
, fibonacci.cpp
@@ -126,15 +127,15 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
, lcm_sum.cpp
, modular_exponentiation.cpp
, word_break.cpp
+, n_choose_r.cpp
, sum_of_binomial_coefficient.cpp
-, sum_of_digits.cpp
, trie_tree.cpp
, jarvis_algorithm.cpp
+, sum_of_digits.cpp
, rungekutta.cpp
-, smallest_circle.cpp
, is_graph_bipartite.cpp
+, smallest_circle.cpp
, median_search.cpp
-, bogo_sort.cpp
test1()
: hill_cipher.cpp
@@ -151,19 +152,19 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
, qr_eigen_values.cpp
test2()
-: smallest_circle.cpp
-, qr_eigen_values.cpp
-, brent_method_extrema.cpp
+: qr_eigen_values.cpp
+, smallest_circle.cpp
+, sum_of_digits.cpp
+, lu_decompose.cpp
, hill_cipher.cpp
, hamiltons_cycle.cpp
, adaline_learning.cpp
, kohonen_som_topology.cpp
, kohonen_som_trace.cpp
, large_factorial.cpp
-, sum_of_digits.cpp
+, brent_method_extrema.cpp
, durand_kerner_roots.cpp
, golden_search_extrema.cpp
-, lu_decompose.cpp
test3()
: hamiltons_cycle.cpp
@@ -171,16 +172,16 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
, kohonen_som_topology.cpp
, kohonen_som_trace.cpp
, brent_method_extrema.cpp
-, golden_search_extrema.cpp
, smallest_circle.cpp
+, golden_search_extrema.cpp
test_1()
: heavy_light_decomposition.cpp
, pigeonhole_sort.cpp
test_2()
-: heavy_light_decomposition.cpp
-, pigeonhole_sort.cpp
+: pigeonhole_sort.cpp
+, heavy_light_decomposition.cpp
test_2d_classes()
: kohonen_som_topology.cpp
@@ -217,8 +218,8 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
: postfix_evaluation.cpp
test_int()
-: quick_sort_3.cpp
-, shell_sort2.cpp
+: shell_sort2.cpp
+, quick_sort_3.cpp
test_lamniscate()
: kohonen_som_trace.cpp
@@ -227,22 +228,22 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
: brute_force_string_searching.cpp
tests()
-: insertion_sort.cpp
-, radix_sort2.cpp
-, least_common_multiple.cpp
-, miller_rabin.cpp
-, check_factorial.cpp
-, magic_number.cpp
-, dijkstra.cpp
-, breadth_first_search.cpp
-, connected_components.cpp
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, complex_numbers.cpp
-, lowest_common_ancestor.cpp
-, number_of_positive_divisors.cpp
-, comb_sort.cpp
-, sieve_of_eratosthenes.cpp
-, hopcroft_karp.cpp
, double_factorial.cpp
+, insertion_sort.cpp
+, magic_number.cpp
+, radix_sort2.cpp
+, connected_components.cpp
+, dijkstra.cpp
+, miller_rabin.cpp
+, sieve_of_eratosthenes.cpp
+, comb_sort.cpp
+, number_of_positive_divisors.cpp
+, check_factorial.cpp
+, breadth_first_search.cpp
+, hopcroft_karp.cpp
+, lowest_common_ancestor.cpp
TH()
: tower_of_hanoi.cpp
diff --git a/namespacemembers.html b/namespacemembers.html
index 99a62a99c..83ad2f018 100644
--- a/namespacemembers.html
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isPossible()
: backtracking
-isSafe()
-: backtracking
-
issafe()
: backtracking
+isSafe()
+: backtracking
+
@@ -272,6 +272,9 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
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+n_choose_r()
+: math
+
non_recursive_merge_sort()
: sorting
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quadraticProbe()
: quadratic_probing
-quicksort()
-: sorting
-
quickSort()
: sorting
+quicksort()
+: sorting
+
diff --git a/namespacemembers_func.html b/namespacemembers_func.html
index f9d277e4b..da5a43b5e 100644
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isPossible()
: backtracking
-isSafe()
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-
issafe()
: backtracking
+isSafe()
+: backtracking
+
@@ -266,6 +266,9 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
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+n_choose_r()
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+
non_recursive_merge_sort()
: sorting
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quadraticProbe()
: quadratic_probing
-quicksort()
-: sorting
-
quickSort()
: sorting
+quicksort()
+: sorting
+
diff --git a/navtreedata.js b/navtreedata.js
index d7eca9505..a0ee93fee 100644
--- a/navtreedata.js
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