diff --git a/d1/d2a/knight__tour_8cpp.html b/d1/d2a/knight__tour_8cpp.html
new file mode 100644
index 000000000..774abb069
--- /dev/null
+++ b/d1/d2a/knight__tour_8cpp.html
@@ -0,0 +1,194 @@
+
+
+
+
+
+
+
+Algorithms_in_C++: backtracking/knight_tour.cpp File Reference
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ Algorithms_in_C++
+ 1.0.0
+
+ Set of algorithms implemented in C++.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
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+
+
Knight's tour algorithm
+More...
+
#include <iostream>
+#include <array>
+
+
+template<size_t V>
+bool backtracking::issafe (int x, int y, const std::array < std::array < int, V >, V > &sol)
+
+template<size_t V>
+bool backtracking::solve (int x, int y, int mov , std::array < std::array < int, V >, V > &sol, const std::array < int, V > &xmov, std::array < int, V > &ymov)
+
+int main ()
+
+
+
+
Knight's tour algorithm
+
A knight's tour is a sequence of moves of a knight on a chessboard such that the knight visits every square only once. If the knight ends on a square that is one knight's move from the beginning square (so that it could tour the board again immediately, following the same path, the tour is closed; otherwise, it is open.
+
Author Nikhil Arora
+
+David Leal
+
+
+
◆ main()
+
+
+
+
+
+ int main
+ (
+ )
+
+
+
+
+
Main function
+
+
+
+
+
+
85 for (i = 0; i < n; i++) {
+
86 for (j = 0; j < n; j++) { sol[i][j] = -1; }
+
+
+
+
+
+
+
+
94 bool flag = backtracking::solve<n>(0, 0, 1, sol, xmov, ymov);
+
+
96 std::cout <<
"Error: Solution does not exist\n" ;
+
+
+
99 for (i = 0; i < n; i++) {
+
100 for (j = 0; j < n; j++) {
std::cout << sol[i][j] <<
" " ; }
+
+
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+
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+
+
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+
diff --git a/d1/d2a/knight__tour_8cpp.js b/d1/d2a/knight__tour_8cpp.js
new file mode 100644
index 000000000..2151587ce
--- /dev/null
+++ b/d1/d2a/knight__tour_8cpp.js
@@ -0,0 +1,6 @@
+var knight__tour_8cpp =
+[
+ [ "issafe", "d1/d2a/knight__tour_8cpp.html#a531de8cb2d4d16ca63353d9c72158257", null ],
+ [ "main", "d1/d2a/knight__tour_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ],
+ [ "solve", "d1/d2a/knight__tour_8cpp.html#a932e38e8912742cedf7b5a837168e03a", null ]
+];
\ No newline at end of file
diff --git a/d1/dbe/lu__decomposition_8h_source.html b/d1/dbe/lu__decomposition_8h_source.html
index c08dded92..66ada9ce2 100644
--- a/d1/dbe/lu__decomposition_8h_source.html
+++ b/d1/dbe/lu__decomposition_8h_source.html
@@ -337,6 +337,7 @@ $(document).ready(function(){initNavTree('d1/dbe/lu__decomposition_8h_source.htm
#define MAX
Definition: power_for_huge_numbers.cpp:10
friend std::istream & operator>>(std::istream &input, stats_computer1 &stat)
Definition: realtime_stats.cpp:53
void tests()
Definition: miller_rabin.cpp:157
+int main()
Definition: graph_coloring.cpp:96
char prime[100000000]
Definition: primes_up_to_billion.cpp:10
bool isprime[1000006]
Definition: prime_factorization.cpp:13
diff --git a/d3/d40/graph__coloring_8cpp.html b/d3/d40/graph__coloring_8cpp.html
new file mode 100644
index 000000000..37869878b
--- /dev/null
+++ b/d3/d40/graph__coloring_8cpp.html
@@ -0,0 +1,449 @@
+
+
+
+
+
+
+
+Algorithms_in_C++: backtracking/graph_coloring.cpp File Reference
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ Algorithms_in_C++
+ 1.0.0
+
+ Set of algorithms implemented in C++.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
prints the assigned colors using Graph Coloring algorithm
+More...
+
#include <iostream>
+#include <array>
+#include <vector>
+
+
+template<size_t V>
+void backtracking::printSolution (const std::array < int, V > &color)
+
+template<size_t V>
+bool backtracking::isSafe (int v, const std::array < std::array < int, V >, V > &graph , const std::array < int, V > &color, int c)
+
+template<size_t V>
+void backtracking::graphColoring (const std::array < std::array < int, V >, V > &graph , int m, std::array < int, V > color, int v)
+
+int main ()
+
+
+
+
prints the assigned colors using Graph Coloring algorithm
+
In graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called "colors" to elements of a graph subject to certain constraints. In its simplest form, it is a way of coloring the vertices of a graph such that no two adjacent vertices are of the same color; this is called a vertex coloring. Similarly, an edge coloring assigns a color to each edge so that no two adjacent edges are of the same color, and a face coloring of a planar graph assigns a color to each face or region so that no two faces that share a boundary have the same color.
+
Author Anup Kumar Panwar
+
+David Leal
+
+
+
◆ main()
+
+
+
+
+
+ int main
+ (
+ )
+
+
+
+
+
Main function
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
115 backtracking::graphColoring<V>(
graph , m, color, 0);
+
+
+
+
+
+
+
+void mov(tower *From, tower *To)
Definition: tower_of_hanoi.cpp:39
+
+int main()
Definition: knuth_morris_pratt.cpp:76
+int main()
Definition: fenwick_tree.cpp:69
+void ternary_search(int N, int A[], int target)
Definition: ternary_search.cpp:127
+
+void test3()
Definition: smallest_circle.cpp:188
+int main(void)
Definition: decimal_to_hexadecimal.cpp:11
+void method2(int number)
Definition: decimal_to_binary.cpp:27
+int main()
Definition: exponential_search.cpp:74
+ll mat_size
Definition: matrix_exponentiation.cpp:45
+int main()
Definition: stairs_pattern.cpp:17
+int hash_search(int key, int *counter)
Definition: hash_search.cpp:76
+
+void shell_sort(T *arr, size_t LEN)
Definition: shell_sort2.cpp:45
+int main()
Definition: fibonacci_search.cpp:123
+std::string tolowerRoman(int n)
Definition: decimal_to_roman_numeral.cpp:24
+void test_f(const int NUM_DATA)
Definition: shell_sort2.cpp:145
+String search algorithms.
Definition: brute_force_string_searching.cpp:13
+#define MAX
Definition: fibonacci_fast.cpp:27
+void show_data(T *arr, size_t LEN)
Definition: shell_sort2.cpp:18
+
+void heapSort(T *arr, int n)
Definition: heap_sort.cpp:84
+
+
+int main()
Definition: binomial_dist.cpp:84
+double addition_rule_dependent(double A, double B, double B_given_A)
Definition: addition_rule.cpp:25
+void test2()
Definition: smallest_circle.cpp:173
+
+
+bool random_tests()
random tests which cover cases when we have one, multiple or zero occurences of the value we're looki...
Definition: fibonacci_search.cpp:96
+
+
+
+double x
Definition: smallest_circle.cpp:16
+int main()
Definition: decimal_to_roman_numeral.cpp:90
+int sum_range(int l, int r)
Definition: fenwick_tree.cpp:65
+void test()
Definition: heap_sort.cpp:99
+#define absolutePrecision
Definition: ternary_search.cpp:22
+ll ans(ll n)
Definition: matrix_exponentiation.cpp:91
+Definition: fenwick_tree.cpp:17
+int main()
Definition: gnome_sort.cpp:130
+void insertionSort(T *arr, int n)
Insertion Sort Function.
Definition: insertion_sort.cpp:59
+#define HASHMAX
Determines the length of the hash table.
Definition: hash_search.cpp:22
+#define PRIME
Prime modulus for hash functions.
Definition: rabin_karp.cpp:16
+int partition(int arr[], int low, int high)
Definition: quick_sort.cpp:37
+
+Type * binary_s(Type *array, size_t size, Type key)
Definition: exponential_search.cpp:34
+Definition: avltree.cpp:13
+double y
Definition: smallest_circle.cpp:17
+
+
+int FindNextGap(int gap)
Definition: comb_sort.cpp:29
+#define MAX
Determines how much data.
Definition: hash_search.cpp:21
+int main()
Definition: pascal_triangle.cpp:52
+int main()
Definition: bayes_theorem.cpp:26
+
+vector< vector< ll > > multiply(const vector< vector< ll >> &A, const vector< vector< ll >> &B)
Definition: matrix_exponentiation.cpp:57
+static void test_double()
Definition: quick_sort_3.cpp:160
+
+static void test()
Definition: gnome_sort.cpp:85
+int main(void)
Definition: qr_decomposition.cpp:23
+int main()
Definition: palindrome_of_number.cpp:19
+
+int main()
Definition: vector_important_functions.cpp:11
+
+void merge(Iterator, Iterator, const Iterator, char[])
merges 2 sorted adjacent segments into a larger sorted segment
Definition: non_recursive_merge_sort.cpp:57
+std::array< T, N > shuffle(std::array< T, N > arr)
Definition: bogo_sort.cpp:36
+int main()
Definition: linear_search.cpp:27
+static float eqd(float y)
Definition: successive_approximation.cpp:17
+void show_array(const std::array< T, N > &arr)
Definition: bogo_sort.cpp:68
+
+std::string fill(char c, int n)
Definition: decimal_to_roman_numeral.cpp:15
+void mat_mul(const std::valarray< std::valarray< double >> &A, const std::valarray< std::valarray< double >> &B, std::valarray< std::valarray< double >> *OUT)
Definition: qr_eigen_values.cpp:54
+int64_t create_hash(const std::string &s, int n)
Definition: rabin_karp.cpp:25
+
+int stack_idx
pointer to track stack index
Definition: paranthesis_matching.cpp:23
+int main(int argc, char *argv[])
Definition: shell_sort2.cpp:183
+int main()
Definition: interpolation_search2.cpp:32
+int compare(const void *a, const void *b)
Definition: shell_sort2.cpp:87
+int brute_force(const std::string &text, const std::string &pattern)
Definition: brute_force_string_searching.cpp:21
+int main()
Definition: buzz_number.cpp:9
+
+int fibonacci_search(const std::vector< int > &arr, int value)
using fibonacci search algorithm finds an index of a given element in a sorted array
Definition: fibonacci_search.cpp:23
+Functions to compute QR decomposition of any rectangular matrix.
+int offset(int x)
Definition: fenwick_tree.cpp:22
+void create_matrix(std::valarray< std::valarray< double >> *A)
Definition: qr_eigen_values.cpp:28
+int main()
Definition: happy_number.cpp:29
+
+int main()
Definition: text_search.cpp:15
+void show(int *arr, int size)
Definition: merge_sort.cpp:96
+const std::vector< std::vector< std::string > > test_set
Definition: brute_force_string_searching.cpp:41
+int rec_ternary_search(int left, int right, int A[], int target)
Definition: ternary_search.cpp:90
+Definition: linkedlist_implentation_usingarray.cpp:14
+
+int y
Point respect to x coordinate.
Definition: line_segment_intersection.cpp:14
+std::valarray< double > eigen_values(std::valarray< std::valarray< double >> *A, bool print_intermediates=false)
Definition: qr_eigen_values.cpp:98
+
+int64_t recalculate_hash(const std::string &s, int old_index, int new_index, int64_t old_hash, int patLength)
Definition: rabin_karp.cpp:42
+int main()
Definition: smallest_circle.cpp:198
+void test_int(const int NUM_DATA)
Definition: shell_sort2.cpp:105
+int ** pascal_triangle(int **arr, int n)
Definition: pascal_triangle.cpp:36
+void CombSort(int *arr, int l, int r)
Definition: comb_sort.cpp:42
+void quicksort(std::vector< T > *arr, int32_t low, int32_t high)
Definition: quick_sort_3.cpp:94
+node * insert(node *root, int item)
Definition: avltree.cpp:66
+
+FenwickTree(const std::vector< int > &arr)
Definition: fenwick_tree.cpp:28
+void mergeSort(int *arr, int l, int r)
Definition: merge_sort.cpp:83
+int main()
Definition: matrix_exponentiation.cpp:126
+
+
+Library functions to compute QR decomposition of a given matrix.
+void merge(int *arr, int l, int m, int r)
Definition: merge_sort.cpp:33
+static void create_random_array(T *arr, int N)
Create a random array objecthelper function to create a random array.
Definition: insertion_sort.cpp:101
+int h(int key)
Definition: hash_search.cpp:45
+void non_recursive_merge_sort(const Iterator first, const Iterator last)
bottom-up merge sort which sorts elements in a non-decreasing order
Definition: non_recursive_merge_sort.cpp:86
+void update(int id, int val)
Definition: fenwick_tree.cpp:45
+int main(int argc, char const *argv[])
Definition: binary_search.cpp:31
+Definition: tower_of_hanoi.cpp:11
+#define _target
Definition: ternary_search.cpp:27
+void test()
Definition: bogo_sort.cpp:78
+int binary_search(int a[], int r, int key)
Definition: binary_search.cpp:15
+char opening(char ch)
Definition: paranthesis_matching.cpp:36
+bool is_happy(T n)
Definition: happy_number.cpp:14
+bool check_if_equal(const std::string &str1, const std::string &str2, int start1, int end1, int start2, int end2)
Definition: rabin_karp.cpp:60
+
+int main()
Definition: ternary_search.cpp:134
+double binomial_range_successes(double n, double p, double lower_bound, double upper_bound)
Definition: binomial_dist.cpp:74
+double LenghtLine(const Point &A, const Point &B)
Definition: smallest_circle.cpp:37
+
+
+
+bool kmp(const std::string &pattern, const std::string &text)
Definition: knuth_morris_pratt.cpp:56
+double poisson_range_successes(double expected, double lower, double upper)
Definition: poisson_dist.cpp:54
+int main()
Definition: tower_of_hanoi.cpp:65
+void non_recursive_merge_sort(const Iterator first, const Iterator last, const size_t n)
bottom-up merge sort which sorts elements in a non-decreasing order
Definition: non_recursive_merge_sort.cpp:25
+#define ll
Definition: matrix_exponentiation.cpp:33
+
+
+double binomial_standard_deviation(double n, double p)
Definition: binomial_dist.cpp:36
+void gnomeSort(T *arr, int size)
Definition: gnome_sort.cpp:34
+double TriangleArea(const Point &A, const Point &B, const Point &C)
Definition: smallest_circle.cpp:54
+int main()
Definition: brute_force_string_searching.cpp:47
+double binomial_x_successes(double n, double p, double x)
Definition: binomial_dist.cpp:65
+void test2()
Definition: qr_eigen_values.cpp:210
+
+#define endl
Definition: matrix_exponentiation.cpp:36
+struct list * link
pointer to nodes
+
+void spiralPrint(int **a, int r, int c)
Definition: spiral_print.cpp:29
+double bayes_BgivenA(double AgivenB, double A, double B)
Definition: bayes_theorem.cpp:20
+int main()
Definition: quick_sort_3.cpp:183
+vector< ll > fib_b
Definition: matrix_exponentiation.cpp:50
+double poisson_rate(double events, double timeframe)
Definition: poisson_dist.cpp:17
+int key
key value for node
Definition: hash_search.cpp:30
+int main(int argc, char **argv)
Definition: qr_eigen_values.cpp:243
+
+double circle(const std::vector< Point > &P)
Definition: smallest_circle.cpp:87
+void print(uint32_t N, const std::vector< bool > &is_prime)
Definition: sieve_of_eratosthenes.cpp:44
+static float eq(float y)
Definition: successive_approximation.cpp:12
+static void test_int()
Definition: quick_sort_3.cpp:138
+Type * struzik_search(Type *array, size_t size, Type key)
Definition: exponential_search.cpp:59
+int main()
Definition: poisson_dist.cpp:65
+
+
+
+double binomial_expected(double n, double p)
Definition: binomial_dist.cpp:22
+int main()
Definition: heap_sort.cpp:120
+node hashtab[HASHMAX]
array of nodes
Definition: hash_search.cpp:35
+
+int it_ternary_search(int left, int right, int A[], int target)
Definition: ternary_search.cpp:48
+int jumpSearch(int arr[], int x, int n)
Definition: jump_search.cpp:12
+int data[MAX]
test data
Definition: hash_search.cpp:24
+void method1(int number)
Definition: decimal_to_binary.cpp:11
+void test1()
Definition: qr_eigen_values.cpp:177
+bool no_occurence_tests()
random tests for checking performance when an array doesn't contain an element
Definition: fibonacci_search.cpp:72
+void printArray(T *arr, int sz)
Definition: heap_sort.cpp:37
+
+int main()
Definition: hash_search.cpp:99
+
+
+void create_list(int key)
Definition: hash_search.cpp:55
+double fact(double x)
Definition: poisson_dist.cpp:30
+
+
+
+
+double addition_rule_independent(double A, double B)
Definition: addition_rule.cpp:14
+std::array< T, N > randomized_bogosort(std::array< T, N > arr)
Definition: bogo_sort.cpp:51
+void show(const struct tower *const F, const struct tower *const T, const struct tower *const U)
Definition: tower_of_hanoi.cpp:19
+int main()
Definition: sparse_matrix.cpp:9
+void test()
Definition: smallest_circle.cpp:158
+Definition: huffman.cpp:28
+int main()
Definition: spiral_print.cpp:69
+#define MAX
Definition: paranthesis_matching.cpp:16
+
+vector< vector< ll > > power(const vector< vector< ll >> &A, ll p)
Definition: matrix_exponentiation.cpp:76
+int main()
Definition: successive_approximation.cpp:20
+
+void tests()
Definition: insertion_sort.cpp:109
+int LinearSearch(int *array, int size, int key)
Definition: linear_search.cpp:16
+
+bool IsPrime(int number)
Definition: primality_test.cpp:18
+double nCr(double n, double r)
Definition: binomial_dist.cpp:47
+int values[10]
Values in the tower.
Definition: tower_of_hanoi.cpp:13
+void qr_decompose(const std::valarray< std::valarray< T >> &A, std::valarray< std::valarray< T >> *Q, std::valarray< std::valarray< T >> *R)
Definition: qr_decompose.h:146
+int main()
Definition: insertion_sort.cpp:150
+void genArray(int **a, int r, int c)
Definition: spiral_print.cpp:12
+int main()
Definition: comb_sort.cpp:88
+static std::ostream & operator<<(std::ostream &out, matrix< T > const &v)
Definition: hill_cipher.cpp:54
+int main()
Definition: interpolation_search.cpp:37
+std::string add(std::string a, std::string b)
Definition: string_fibonacci.cpp:24
+
+int main()
Definition: addition_rule.cpp:30
+std::string toupperRoman(int n)
Definition: decimal_to_roman_numeral.cpp:58
+#define LIMS
Definition: qr_eigen_values.cpp:20
+
+double bayes_AgivenB(double BgivenA, double A, double B)
Definition: bayes_theorem.cpp:14
+int sum(int id)
Definition: fenwick_tree.cpp:54
+
+int main()
Definition: quick_sort.cpp:82
+
+FenwickTree(int x)
Definition: fenwick_tree.cpp:39
+Point(double a=0.f, double b=0.f)
Definition: smallest_circle.cpp:23
+int main()
Definition: primality_test.cpp:31
+struct list * next
pointer to next link in the chain
Definition: hash_search.cpp:31
+int top
top tower ID
Definition: tower_of_hanoi.cpp:15
+Definition: line_segment_intersection.cpp:12
+void TH(int n, tower *From, tower *Using, tower *To)
Definition: tower_of_hanoi.cpp:52
+int interpolation_search(int arr[], int value, int len)
Definition: interpolation_search.cpp:15
+void push(char ch)
push byte to stack variable
Definition: paranthesis_matching.cpp:26
+int main()
Definition: bogo_sort.cpp:104
+int main()
Definition: merge_sort.cpp:102
+char pop()
pop a byte out of stack variable
Definition: paranthesis_matching.cpp:29
+int InterpolationSearch(int A[], int n, int x)
Definition: interpolation_search2.cpp:15
+
+double poisson_expected(double rate, double time)
Definition: poisson_dist.cpp:25
+double poisson_x_successes(double expected, double x)
Definition: poisson_dist.cpp:46
+int main(void)
Definition: rabin_karp.cpp:105
+T random_shuffle(T... args)
+void quickSort(int arr[], int low, int high)
Definition: quick_sort.cpp:63
+
+std::vector< int > getFailureArray(const std::string &pattern)
Definition: knuth_morris_pratt.cpp:33
+void show_pascal(int **arr, int n)
Definition: pascal_triangle.cpp:18
+int rabin_karp(const std::string &str, const std::string &pat)
Definition: rabin_karp.cpp:83
+void get_input()
Definition: ternary_search.cpp:36
+bool PointInCircle(const std::vector< Point > &P, const Point &Center, double R)
Definition: smallest_circle.cpp:72
+
+void tests()
Definition: comb_sort.cpp:73
+Definition: list_array.cpp:8
+
+double binomial_variance(double n, double p)
Definition: binomial_dist.cpp:29
+
+int main()
Definition: graph_coloring.cpp:96
+void shell_sort(std::vector< T > *arr)
Definition: shell_sort2.cpp:75
+
+
+
+
+
+
diff --git a/d3/d40/graph__coloring_8cpp.js b/d3/d40/graph__coloring_8cpp.js
new file mode 100644
index 000000000..efa3d85a0
--- /dev/null
+++ b/d3/d40/graph__coloring_8cpp.js
@@ -0,0 +1,7 @@
+var graph__coloring_8cpp =
+[
+ [ "graphColoring", "d3/d40/graph__coloring_8cpp.html#a29360ddb1bad75caa61ec895b6e71986", null ],
+ [ "isSafe", "d3/d40/graph__coloring_8cpp.html#a5a6c3c2b065ea1c07adf2f638f8efc43", null ],
+ [ "main", "d3/d40/graph__coloring_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ],
+ [ "printSolution", "d3/d40/graph__coloring_8cpp.html#a8cfb2d08840766ac4402196079308a36", null ]
+];
\ No newline at end of file
diff --git a/d4/d86/large__number_8h_source.html b/d4/d86/large__number_8h_source.html
index 2ded6f6b9..e5f42190d 100644
--- a/d4/d86/large__number_8h_source.html
+++ b/d4/d86/large__number_8h_source.html
@@ -392,7 +392,6 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
void pop()
Definition: stack.h:99
bool is_armstrong(int number)
Definition: armstrong_number.cpp:36
Definition: trie_tree.cpp:8
-int main()
Definition: caesar_cipher.cpp:120
int main()
Definition: double_factorial.cpp:67
int main()
Definition: gcd_of_n_numbers.cpp:28
@@ -760,6 +759,7 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
int main()
Definition: check_amicable_pair.cpp:68
int main()
Definition: quadratic_probing_hash_table.cpp:246
This class specifies the basic operation on a stack as a linked list.
+int main()
Definition: graph_coloring.cpp:96
std::vector< std::vector< T > > get_transpose(std::vector< std::vector< T >> const &A)
Definition: ordinary_least_squares_regressor.cpp:300
diff --git a/d5/d8e/sudoku__solve_8cpp__incl.map b/d5/d8e/sudoku__solve_8cpp__incl.map
new file mode 100644
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--- /dev/null
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diff --git a/d5/d8e/sudoku__solve_8cpp__incl.md5 b/d5/d8e/sudoku__solve_8cpp__incl.md5
new file mode 100644
index 000000000..84b11c5b8
--- /dev/null
+++ b/d5/d8e/sudoku__solve_8cpp__incl.md5
@@ -0,0 +1 @@
+e03cf02b097829558144c50ead56455b
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diff --git a/d5/d8e/sudoku__solve_8cpp__incl.svg b/d5/d8e/sudoku__solve_8cpp__incl.svg
new file mode 100644
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@@ -0,0 +1,53 @@
+
+
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+
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+backtracking/sudoku_solve.cpp
+
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+Node1
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+backtracking/sudoku
+_solve.cpp
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+iostream
+
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+Node1->Node2
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+Node3
+
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+array
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+Node1->Node3
+
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diff --git a/d6/d2c/caesar__cipher_8cpp.html b/d6/d2c/caesar__cipher_8cpp.html
index 3497be542..8d4fe5ed8 100644
--- a/d6/d2c/caesar__cipher_8cpp.html
+++ b/d6/d2c/caesar__cipher_8cpp.html
@@ -324,265 +324,12 @@ Here is the call graph for this function:
-void mov(tower *From, tower *To)
Definition: tower_of_hanoi.cpp:39
-int main()
Definition: caesar_cipher.cpp:120
-
-int main()
Definition: knuth_morris_pratt.cpp:76
-int main()
Definition: fenwick_tree.cpp:69
-void ternary_search(int N, int A[], int target)
Definition: ternary_search.cpp:127
-
std::string encrypt(const std::string &text, const int &shift)
Definition: caesar_cipher.cpp:65
-void test3()
Definition: smallest_circle.cpp:188
-int main(void)
Definition: decimal_to_hexadecimal.cpp:11
-void method2(int number)
Definition: decimal_to_binary.cpp:27
-int main()
Definition: exponential_search.cpp:74
-ll mat_size
Definition: matrix_exponentiation.cpp:45
-int main()
Definition: stairs_pattern.cpp:17
-int hash_search(int key, int *counter)
Definition: hash_search.cpp:76
-void shell_sort(T *arr, size_t LEN)
Definition: shell_sort2.cpp:45
-int main()
Definition: fibonacci_search.cpp:123
-std::string tolowerRoman(int n)
Definition: decimal_to_roman_numeral.cpp:24
-void test_f(const int NUM_DATA)
Definition: shell_sort2.cpp:145
-String search algorithms.
Definition: brute_force_string_searching.cpp:13
-#define MAX
Definition: fibonacci_fast.cpp:27
-void show_data(T *arr, size_t LEN)
Definition: shell_sort2.cpp:18
-
-void heapSort(T *arr, int n)
Definition: heap_sort.cpp:84
-
-
-int main()
Definition: binomial_dist.cpp:84
-double addition_rule_dependent(double A, double B, double B_given_A)
Definition: addition_rule.cpp:25
-void test2()
Definition: smallest_circle.cpp:173
-
-bool random_tests()
random tests which cover cases when we have one, multiple or zero occurences of the value we're looki...
Definition: fibonacci_search.cpp:96
-
-
-
-double x
Definition: smallest_circle.cpp:16
-int main()
Definition: decimal_to_roman_numeral.cpp:90
-int sum_range(int l, int r)
Definition: fenwick_tree.cpp:65
-void test()
Definition: heap_sort.cpp:99
-#define absolutePrecision
Definition: ternary_search.cpp:22
-ll ans(ll n)
Definition: matrix_exponentiation.cpp:91
-Definition: fenwick_tree.cpp:17
-int main()
Definition: gnome_sort.cpp:130
-void insertionSort(T *arr, int n)
Insertion Sort Function.
Definition: insertion_sort.cpp:59
-#define HASHMAX
Determines the length of the hash table.
Definition: hash_search.cpp:22
-#define PRIME
Prime modulus for hash functions.
Definition: rabin_karp.cpp:16
-int partition(int arr[], int low, int high)
Definition: quick_sort.cpp:37
-
-Type * binary_s(Type *array, size_t size, Type key)
Definition: exponential_search.cpp:34
-Definition: avltree.cpp:13
-double y
Definition: smallest_circle.cpp:17
-
-
-int FindNextGap(int gap)
Definition: comb_sort.cpp:29
-#define MAX
Determines how much data.
Definition: hash_search.cpp:21
-int main()
Definition: pascal_triangle.cpp:52
-int main()
Definition: bayes_theorem.cpp:26
-
-vector< vector< ll > > multiply(const vector< vector< ll >> &A, const vector< vector< ll >> &B)
Definition: matrix_exponentiation.cpp:57
-static void test_double()
Definition: quick_sort_3.cpp:160
-
-static void test()
Definition: gnome_sort.cpp:85
-int main(void)
Definition: qr_decomposition.cpp:23
-int main()
Definition: palindrome_of_number.cpp:19
-
-int main()
Definition: vector_important_functions.cpp:11
-
-void merge(Iterator, Iterator, const Iterator, char[])
merges 2 sorted adjacent segments into a larger sorted segment
Definition: non_recursive_merge_sort.cpp:57
-std::array< T, N > shuffle(std::array< T, N > arr)
Definition: bogo_sort.cpp:36
-int main()
Definition: linear_search.cpp:27
-static float eqd(float y)
Definition: successive_approximation.cpp:17
-void show_array(const std::array< T, N > &arr)
Definition: bogo_sort.cpp:68
-
-std::string fill(char c, int n)
Definition: decimal_to_roman_numeral.cpp:15
-void mat_mul(const std::valarray< std::valarray< double >> &A, const std::valarray< std::valarray< double >> &B, std::valarray< std::valarray< double >> *OUT)
Definition: qr_eigen_values.cpp:54
-int64_t create_hash(const std::string &s, int n)
Definition: rabin_karp.cpp:25
-
-int stack_idx
pointer to track stack index
Definition: paranthesis_matching.cpp:23
-int main(int argc, char *argv[])
Definition: shell_sort2.cpp:183
-int main()
Definition: interpolation_search2.cpp:32
-int compare(const void *a, const void *b)
Definition: shell_sort2.cpp:87
-int brute_force(const std::string &text, const std::string &pattern)
Definition: brute_force_string_searching.cpp:21
-int main()
Definition: buzz_number.cpp:9
-
-int fibonacci_search(const std::vector< int > &arr, int value)
using fibonacci search algorithm finds an index of a given element in a sorted array
Definition: fibonacci_search.cpp:23
-Functions to compute QR decomposition of any rectangular matrix.
-int offset(int x)
Definition: fenwick_tree.cpp:22
-void create_matrix(std::valarray< std::valarray< double >> *A)
Definition: qr_eigen_values.cpp:28
-int main()
Definition: happy_number.cpp:29
-
-int main()
Definition: text_search.cpp:15
-void show(int *arr, int size)
Definition: merge_sort.cpp:96
-const std::vector< std::vector< std::string > > test_set
Definition: brute_force_string_searching.cpp:41
-int rec_ternary_search(int left, int right, int A[], int target)
Definition: ternary_search.cpp:90
-Definition: linkedlist_implentation_usingarray.cpp:14
-
-int y
Point respect to x coordinate.
Definition: line_segment_intersection.cpp:14
-std::valarray< double > eigen_values(std::valarray< std::valarray< double >> *A, bool print_intermediates=false)
Definition: qr_eigen_values.cpp:98
-
-int64_t recalculate_hash(const std::string &s, int old_index, int new_index, int64_t old_hash, int patLength)
Definition: rabin_karp.cpp:42
-int main()
Definition: smallest_circle.cpp:198
-void test_int(const int NUM_DATA)
Definition: shell_sort2.cpp:105
-int ** pascal_triangle(int **arr, int n)
Definition: pascal_triangle.cpp:36
-void CombSort(int *arr, int l, int r)
Definition: comb_sort.cpp:42
-void quicksort(std::vector< T > *arr, int32_t low, int32_t high)
Definition: quick_sort_3.cpp:94
-node * insert(node *root, int item)
Definition: avltree.cpp:66
-
-FenwickTree(const std::vector< int > &arr)
Definition: fenwick_tree.cpp:28
-void mergeSort(int *arr, int l, int r)
Definition: merge_sort.cpp:83
-int main()
Definition: matrix_exponentiation.cpp:126
-
-Library functions to compute QR decomposition of a given matrix.
-void merge(int *arr, int l, int m, int r)
Definition: merge_sort.cpp:33
-static void create_random_array(T *arr, int N)
Create a random array objecthelper function to create a random array.
Definition: insertion_sort.cpp:101
-int h(int key)
Definition: hash_search.cpp:45
-void non_recursive_merge_sort(const Iterator first, const Iterator last)
bottom-up merge sort which sorts elements in a non-decreasing order
Definition: non_recursive_merge_sort.cpp:86
-void update(int id, int val)
Definition: fenwick_tree.cpp:45
-int main(int argc, char const *argv[])
Definition: binary_search.cpp:31
-Definition: tower_of_hanoi.cpp:11
-#define _target
Definition: ternary_search.cpp:27
-void test()
Definition: bogo_sort.cpp:78
-int binary_search(int a[], int r, int key)
Definition: binary_search.cpp:15
-char opening(char ch)
Definition: paranthesis_matching.cpp:36
-bool is_happy(T n)
Definition: happy_number.cpp:14
-bool check_if_equal(const std::string &str1, const std::string &str2, int start1, int end1, int start2, int end2)
Definition: rabin_karp.cpp:60
-
-int main()
Definition: ternary_search.cpp:134
-double binomial_range_successes(double n, double p, double lower_bound, double upper_bound)
Definition: binomial_dist.cpp:74
-double LenghtLine(const Point &A, const Point &B)
Definition: smallest_circle.cpp:37
-
-
-
-bool kmp(const std::string &pattern, const std::string &text)
Definition: knuth_morris_pratt.cpp:56
-double poisson_range_successes(double expected, double lower, double upper)
Definition: poisson_dist.cpp:54
-int main()
Definition: tower_of_hanoi.cpp:65
-void non_recursive_merge_sort(const Iterator first, const Iterator last, const size_t n)
bottom-up merge sort which sorts elements in a non-decreasing order
Definition: non_recursive_merge_sort.cpp:25
-#define ll
Definition: matrix_exponentiation.cpp:33
-
-
-double binomial_standard_deviation(double n, double p)
Definition: binomial_dist.cpp:36
-void gnomeSort(T *arr, int size)
Definition: gnome_sort.cpp:34
-double TriangleArea(const Point &A, const Point &B, const Point &C)
Definition: smallest_circle.cpp:54
-int main()
Definition: brute_force_string_searching.cpp:47
-double binomial_x_successes(double n, double p, double x)
Definition: binomial_dist.cpp:65
-void test2()
Definition: qr_eigen_values.cpp:210
-
-#define endl
Definition: matrix_exponentiation.cpp:36
-struct list * link
pointer to nodes
-
-void spiralPrint(int **a, int r, int c)
Definition: spiral_print.cpp:29
-double bayes_BgivenA(double AgivenB, double A, double B)
Definition: bayes_theorem.cpp:20
-int main()
Definition: quick_sort_3.cpp:183
-vector< ll > fib_b
Definition: matrix_exponentiation.cpp:50
-double poisson_rate(double events, double timeframe)
Definition: poisson_dist.cpp:17
-int key
key value for node
Definition: hash_search.cpp:30
-int main(int argc, char **argv)
Definition: qr_eigen_values.cpp:243
-
-double circle(const std::vector< Point > &P)
Definition: smallest_circle.cpp:87
-void print(uint32_t N, const std::vector< bool > &is_prime)
Definition: sieve_of_eratosthenes.cpp:44
-static float eq(float y)
Definition: successive_approximation.cpp:12
-static void test_int()
Definition: quick_sort_3.cpp:138
-Type * struzik_search(Type *array, size_t size, Type key)
Definition: exponential_search.cpp:59
-int main()
Definition: poisson_dist.cpp:65
-
-
-
-double binomial_expected(double n, double p)
Definition: binomial_dist.cpp:22
-int main()
Definition: heap_sort.cpp:120
-node hashtab[HASHMAX]
array of nodes
Definition: hash_search.cpp:35
-
-int it_ternary_search(int left, int right, int A[], int target)
Definition: ternary_search.cpp:48
-int jumpSearch(int arr[], int x, int n)
Definition: jump_search.cpp:12
std::string decrypt(const std::string &text, const int &shift)
Definition: caesar_cipher.cpp:81
-int data[MAX]
test data
Definition: hash_search.cpp:24
-void method1(int number)
Definition: decimal_to_binary.cpp:11
-void test1()
Definition: qr_eigen_values.cpp:177
-bool no_occurence_tests()
random tests for checking performance when an array doesn't contain an element
Definition: fibonacci_search.cpp:72
-void printArray(T *arr, int sz)
Definition: heap_sort.cpp:37
-
-int main()
Definition: hash_search.cpp:99
-
-void create_list(int key)
Definition: hash_search.cpp:55
-double fact(double x)
Definition: poisson_dist.cpp:30
-
-
-
-
-double addition_rule_independent(double A, double B)
Definition: addition_rule.cpp:14
-std::array< T, N > randomized_bogosort(std::array< T, N > arr)
Definition: bogo_sort.cpp:51
-void show(const struct tower *const F, const struct tower *const T, const struct tower *const U)
Definition: tower_of_hanoi.cpp:19
-int main()
Definition: sparse_matrix.cpp:9
-void test()
Definition: smallest_circle.cpp:158
-Definition: huffman.cpp:28
-int main()
Definition: spiral_print.cpp:69
-#define MAX
Definition: paranthesis_matching.cpp:16
-
-vector< vector< ll > > power(const vector< vector< ll >> &A, ll p)
Definition: matrix_exponentiation.cpp:76
-int main()
Definition: successive_approximation.cpp:20
-
-void tests()
Definition: insertion_sort.cpp:109
-int LinearSearch(int *array, int size, int key)
Definition: linear_search.cpp:16
-
-bool IsPrime(int number)
Definition: primality_test.cpp:18
-double nCr(double n, double r)
Definition: binomial_dist.cpp:47
-int values[10]
Values in the tower.
Definition: tower_of_hanoi.cpp:13
-void qr_decompose(const std::valarray< std::valarray< T >> &A, std::valarray< std::valarray< T >> *Q, std::valarray< std::valarray< T >> *R)
Definition: qr_decompose.h:146
-int main()
Definition: insertion_sort.cpp:150
-void genArray(int **a, int r, int c)
Definition: spiral_print.cpp:12
-int main()
Definition: comb_sort.cpp:88
-static std::ostream & operator<<(std::ostream &out, matrix< T > const &v)
Definition: hill_cipher.cpp:54
-int main()
Definition: interpolation_search.cpp:37
-std::string add(std::string a, std::string b)
Definition: string_fibonacci.cpp:24
-
-int main()
Definition: addition_rule.cpp:30
-std::string toupperRoman(int n)
Definition: decimal_to_roman_numeral.cpp:58
-#define LIMS
Definition: qr_eigen_values.cpp:20
-
-double bayes_AgivenB(double BgivenA, double A, double B)
Definition: bayes_theorem.cpp:14
-int sum(int id)
Definition: fenwick_tree.cpp:54
-
-int main()
Definition: quick_sort.cpp:82
-
-FenwickTree(int x)
Definition: fenwick_tree.cpp:39
-Point(double a=0.f, double b=0.f)
Definition: smallest_circle.cpp:23
-int main()
Definition: primality_test.cpp:31
-struct list * next
pointer to next link in the chain
Definition: hash_search.cpp:31
-int top
top tower ID
Definition: tower_of_hanoi.cpp:15
-Definition: line_segment_intersection.cpp:12
-void TH(int n, tower *From, tower *Using, tower *To)
Definition: tower_of_hanoi.cpp:52
-int interpolation_search(int arr[], int value, int len)
Definition: interpolation_search.cpp:15
-void push(char ch)
push byte to stack variable
Definition: paranthesis_matching.cpp:26
-int main()
Definition: bogo_sort.cpp:104
-int main()
Definition: merge_sort.cpp:102
-char pop()
pop a byte out of stack variable
Definition: paranthesis_matching.cpp:29
-int InterpolationSearch(int A[], int n, int x)
Definition: interpolation_search2.cpp:15
-
-double poisson_expected(double rate, double time)
Definition: poisson_dist.cpp:25
-double poisson_x_successes(double expected, double x)
Definition: poisson_dist.cpp:46
-int main(void)
Definition: rabin_karp.cpp:105
-T random_shuffle(T... args)
-void quickSort(int arr[], int low, int high)
Definition: quick_sort.cpp:63
-
-std::vector< int > getFailureArray(const std::string &pattern)
Definition: knuth_morris_pratt.cpp:33
-void show_pascal(int **arr, int n)
Definition: pascal_triangle.cpp:18
-int rabin_karp(const std::string &str, const std::string &pat)
Definition: rabin_karp.cpp:83
void test()
Definition: caesar_cipher.cpp:100
-void get_input()
Definition: ternary_search.cpp:36
-bool PointInCircle(const std::vector< Point > &P, const Point &Center, double R)
Definition: smallest_circle.cpp:72
-
-void tests()
Definition: comb_sort.cpp:73
-Definition: list_array.cpp:8
-
-double binomial_variance(double n, double p)
Definition: binomial_dist.cpp:29
-
-void shell_sort(std::vector< T > *arr)
Definition: shell_sort2.cpp:75
-
-
diff --git a/d6/d7b/sudoku__solve_8cpp.html b/d6/d7b/sudoku__solve_8cpp.html
new file mode 100644
index 000000000..c84e1ed76
--- /dev/null
+++ b/d6/d7b/sudoku__solve_8cpp.html
@@ -0,0 +1,198 @@
+
+
+
+
+
+
+
+Algorithms_in_C++: backtracking/sudoku_solve.cpp File Reference
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ Algorithms_in_C++
+ 1.0.0
+
+ Set of algorithms implemented in C++.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
Sudoku Solver algorithm.
+More...
+
#include <iostream>
+#include <array>
+
+
+template<size_t V>
+bool backtracking::isPossible (const std::array < std::array < int, V >, V > &mat, int i, int j, int no, int n)
+
+template<size_t V>
+void backtracking::printMat (const std::array < std::array < int, V >, V > &mat, int n)
+
+template<size_t V>
+bool backtracking::solveSudoku (std::array < std::array < int, V >, V > &mat, int i, int j)
+
+int main ()
+
+
+
+
Sudoku Solver algorithm.
+
Sudoku (数独, sūdoku, digit-single) (/suːˈdoʊkuː/, /-ˈdɒk-/, /sə-/, originally called Number Place) is a logic-based, combinatorial number-placement puzzle. In classic sudoku, the objective is to fill a 9×9 grid with digits so that each column, each row, and each of the nine 3×3 subgrids that compose the grid (also called "boxes", "blocks", or "regions") contain all of the digits from 1 to 9. The puzzle setter provides a partially completed grid, which for a well-posed puzzle has a single solution.
+
Author DarthCoder3200
+
+David Leal
+
+
+
◆ main()
+
+
+
+
+
+ int main
+ (
+ )
+
+
+
+
+
Main function
+
+
+
+
134 std::array <int, V> {5, 3, 0, 0, 7, 0, 0, 0, 0},
+
135 std::array <int, V> {6, 0, 0, 1, 9, 5, 0, 0, 0},
+
136 std::array <int, V> {0, 9, 8, 0, 0, 0, 0, 6, 0},
+
137 std::array <int, V> {8, 0, 0, 0, 6, 0, 0, 0, 3},
+
138 std::array <int, V> {4, 0, 0, 8, 0, 3, 0, 0, 1},
+
139 std::array <int, V> {7, 0, 0, 0, 2, 0, 0, 0, 6},
+
140 std::array <int, V> {0, 6, 0, 0, 0, 0, 2, 8, 0},
+
141 std::array <int, V> {0, 0, 0, 4, 1, 9, 0, 0, 5},
+
+
+
+
145 backtracking::printMat<V>(mat, 9);
+
+
147 backtracking::solveSudoku<V>(mat, 0, 0);
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/d6/d7b/sudoku__solve_8cpp.js b/d6/d7b/sudoku__solve_8cpp.js
new file mode 100644
index 000000000..0f11ecb15
--- /dev/null
+++ b/d6/d7b/sudoku__solve_8cpp.js
@@ -0,0 +1,7 @@
+var sudoku__solve_8cpp =
+[
+ [ "isPossible", "d6/d7b/sudoku__solve_8cpp.html#a80af16e57cfb6aaab2bf1da4c4db3308", null ],
+ [ "main", "d6/d7b/sudoku__solve_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ],
+ [ "printMat", "d6/d7b/sudoku__solve_8cpp.html#a4664b23ed7939e3df1c0cb23013eec0c", null ],
+ [ "solveSudoku", "d6/d7b/sudoku__solve_8cpp.html#af6b62cbc209d7e13ffca0ab3ed3392b6", null ]
+];
\ No newline at end of file
diff --git a/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map b/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map
new file mode 100644
index 000000000..45a2eb539
--- /dev/null
+++ b/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map
@@ -0,0 +1,4 @@
+
+
+
+
diff --git a/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 b/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5
new file mode 100644
index 000000000..b033bdd65
--- /dev/null
+++ b/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5
@@ -0,0 +1 @@
+85270aea331ae2e33b0af08bba3538a8
\ No newline at end of file
diff --git a/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg b/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg
new file mode 100644
index 000000000..7cbefbedd
--- /dev/null
+++ b/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg
@@ -0,0 +1,37 @@
+
+
+
+
+
+
+main
+
+
+
+Node1
+
+
+main
+
+
+
+
+
+Node2
+
+
+std::endl
+
+
+
+
+
+Node1->Node2
+
+
+
+
+
diff --git a/d6/dcd/md__c_o_n_t_r_i_b_u_t_i_n_g.html b/d6/dcd/md__c_o_n_t_r_i_b_u_t_i_n_g.html
index 6664698fc..dfcfe188e 100644
--- a/d6/dcd/md__c_o_n_t_r_i_b_u_t_i_n_g.html
+++ b/d6/dcd/md__c_o_n_t_r_i_b_u_t_i_n_g.html
@@ -140,7 +140,7 @@ Documentation
Test
-Make sure to add examples and test cases in your main() function.
+Make sure to add examples and test cases in your main() function.
If you find any algorithm or document without tests, please feel free to create a pull request or issue describing suggested changes.
Please try to add one or more test() functions that will invoke the algorithm implementation on random test data with expected output. Use assert() function to confirm that the tests will pass.
@@ -202,7 +202,7 @@ Typical structure of a program:
}
-int main (
int argc,
char *argv[]) {
+int main (
int argc,
char *argv[]) {
return 0;
}
@@ -268,8 +268,8 @@ cpplint
-int main()
Definition: caesar_cipher.cpp:120
void test()
Definition: caesar_cipher.cpp:100
+int main()
Definition: graph_coloring.cpp:96
diff --git a/d7/dba/cll_8h_source.html b/d7/dba/cll_8h_source.html
index 2f09f3bdc..c30ed4b0f 100644
--- a/d7/dba/cll_8h_source.html
+++ b/d7/dba/cll_8h_source.html
@@ -148,15 +148,18 @@ $(document).ready(function(){initNavTree('d7/dba/cll_8h_source.html','../../');
int main()
Definition: vigenere_cipher.cpp:131
+int main()
Definition: sudoku_solve.cpp:131
static matrix< int > generate_encryption_key(size_t size, int limit1=0, int limit2=10)
Generate encryption matrix of a given size. Larger size matrices are difficult to generate but provid...
Definition: hill_cipher.cpp:339
Implementation of Hill Cipher algorithm.
Definition: hill_cipher.cpp:81
node * deleteNode(node *root, int key)
Definition: avltree.cpp:88
-
+
void deleteKey(int i)
Definition: binaryheap.cpp:105
+Backtracking algorithms.
Definition: graph_coloring.cpp:26
Definition: binaryheap.cpp:10
+int main()
Definition: minimax.cpp:54
int heap_size
Current number of elements in min heap.
Definition: binaryheap.cpp:13
Definition: avltree.cpp:13
@@ -165,6 +168,7 @@ $(document).ready(function(){initNavTree('d7/dba/cll_8h_source.html','../../');
void decreaseKey(int i, int new_val)
Definition: binaryheap.cpp:76
void levelOrder(node *root)
Definition: avltree.cpp:119
+bool isPossible(const std::array< std::array< int, V >, V > &mat, int i, int j, int no, int n)
Definition: sudoku_solve.cpp:36
Algorithms for encryption and decryption.
void test()
Definition: xor_cipher.cpp:75
Functions for Caesar cipher algorithm.
@@ -179,8 +183,8 @@ $(document).ready(function(){initNavTree('d7/dba/cll_8h_source.html','../../');
int capacity
maximum possible size of min heap
Definition: binaryheap.cpp:12
node * insert(node *root, int item)
Definition: avltree.cpp:66
-
static matrix< double > get_inverse(matrix< T > const &A)
Definition: hill_cipher.cpp:250
+void printMat(const std::array< std::array< int, V >, V > &mat, int n)
Definition: sudoku_solve.cpp:66
static matrix< int > generate_decryption_key(matrix< int > const &encrypt_key)
Generate decryption matrix from an encryption matrix key.
Definition: hill_cipher.cpp:371
int h(int key)
Definition: hash_search.cpp:45
@@ -188,6 +192,7 @@ $(document).ready(function(){initNavTree('d7/dba/cll_8h_source.html','../../');
int * harr
pointer to array of elements in heap
Definition: binaryheap.cpp:11
static const std::string encrypt_text(const std::string &text, const matrix< int > &encrypt_key)
Encrypt a given text using a given key.
Definition: hill_cipher.cpp:445
+
static const std::string decrypt_text(const std::string &text, const matrix< int > &decrypt_key)
Decrypt a given text using a given key.
Definition: hill_cipher.cpp:457
void MinHeapify(int)
Definition: binaryheap.cpp:113
@@ -198,12 +203,15 @@ $(document).ready(function(){initNavTree('d7/dba/cll_8h_source.html','../../');
node * rightRotate(node *root)
Definition: avltree.cpp:41
static uint8_t get_char_idx(const char ch)
Get the index of a character in the STRKEY.
Definition: hill_cipher.cpp:190
#define endl
Definition: matrix_exponentiation.cpp:36
+bool isSafe(int v, const std::array< std::array< int, V >, V > &graph, const std::array< int, V > &color, int c)
Definition: graph_coloring.cpp:51
int left(int i)
Definition: binaryheap.cpp:31
void test1(const std::string &text)
Self test 1 - using 3x3 randomly generated key.
Definition: hill_cipher.cpp:470
static std::pair< matrix< int >, matrix< int > > generate_keys(size_t size, int limit1=0, int limit2=10)
Generate encryption and decryption key pair.
Definition: hill_cipher.cpp:424
+int minimax(int depth, int node_index, bool is_max, const std::array< int, T > &scores, double height)
Definition: minimax.cpp:38
+int main()
Definition: knight_tour.cpp:80
std::string decrypt(const std::string &text, const int &shift)
Definition: caesar_cipher.cpp:81
int data[MAX]
test data
Definition: hash_search.cpp:24
node * minValue(node *root)
Definition: avltree.cpp:59
@@ -212,13 +220,17 @@ $(document).ready(function(){initNavTree('d7/dba/cll_8h_source.html','../../');
Kind front()
Definition: queue.h:61
+void printSolution(const std::array< int, V > &color)
Definition: graph_coloring.cpp:32
MinHeap(int cap)
Definition: binaryheap.cpp:19
+void graphColoring(const std::array< std::array< int, V >, V > &graph, int m, std::array< int, V > color, int v)
Definition: graph_coloring.cpp:69
+bool issafe(int x, int y, const std::array< std::array< int, V >, V > &sol)
Definition: knight_tour.cpp:33
int main()
Definition: avltree.cpp:134
double determinant_lu(const matrix< T > &A)
Definition: lu_decomposition.h:90
static const T2 rand_range(T1 a, T1 b)
Function to generate a random integer in a given interval.
Definition: hill_cipher.cpp:92
static std::ostream & operator<<(std::ostream &out, matrix< T > const &v)
Definition: hill_cipher.cpp:54
+bool solveSudoku(std::array< std::array< int, V >, V > &mat, int i, int j)
Definition: sudoku_solve.cpp:91
@@ -231,9 +243,11 @@ $(document).ready(function(){initNavTree('d7/dba/cll_8h_source.html','../../');
void test()
Definition: caesar_cipher.cpp:100
int getBalance(node *root)
Definition: avltree.cpp:38
+int main()
Definition: graph_coloring.cpp:96
Definition: binary_search_tree.cpp:17
int extractMin()
Definition: binaryheap.cpp:85
int right(int i)
Definition: binaryheap.cpp:34
+bool solve(int x, int y, int mov, std::array< std::array< int, V >, V > &sol, const std::array< int, V > &xmov, std::array< int, V > &ymov)
Definition: knight_tour.cpp:50
diff --git a/d7/dce/graph__coloring_8cpp__incl.map b/d7/dce/graph__coloring_8cpp__incl.map
new file mode 100644
index 000000000..fccbb8c59
--- /dev/null
+++ b/d7/dce/graph__coloring_8cpp__incl.map
@@ -0,0 +1,6 @@
+
+
+
+
+
+
diff --git a/d7/dce/graph__coloring_8cpp__incl.md5 b/d7/dce/graph__coloring_8cpp__incl.md5
new file mode 100644
index 000000000..73eb05899
--- /dev/null
+++ b/d7/dce/graph__coloring_8cpp__incl.md5
@@ -0,0 +1 @@
+565cc382a2bcdc748d973fdb3125cd44
\ No newline at end of file
diff --git a/d7/dce/graph__coloring_8cpp__incl.svg b/d7/dce/graph__coloring_8cpp__incl.svg
new file mode 100644
index 000000000..196ced617
--- /dev/null
+++ b/d7/dce/graph__coloring_8cpp__incl.svg
@@ -0,0 +1,68 @@
+
+
+
+
+
+
+backtracking/graph_coloring.cpp
+
+
+
+Node1
+
+
+backtracking/graph
+_coloring.cpp
+
+
+
+
+
+Node2
+
+
+iostream
+
+
+
+
+
+Node1->Node2
+
+
+
+
+
+Node3
+
+
+array
+
+
+
+
+
+Node1->Node3
+
+
+
+
+
+Node4
+
+
+vector
+
+
+
+
+
+Node1->Node4
+
+
+
+
+
diff --git a/d7/de0/stack_8h_source.html b/d7/de0/stack_8h_source.html
index f977ba10f..8a2cbc72c 100644
--- a/d7/de0/stack_8h_source.html
+++ b/d7/de0/stack_8h_source.html
@@ -247,7 +247,6 @@ $(document).ready(function(){initNavTree('d7/de0/stack_8h_source.html','../../')
void pop()
Definition: stack.h:99
-int main()
Definition: caesar_cipher.cpp:120
Node(int key, int level, void *value=nullptr)
Definition: skip_list.cpp:44
stack(const stack< Type > &otherStack)
Definition: stack.h:47
@@ -306,6 +305,7 @@ $(document).ready(function(){initNavTree('d7/de0/stack_8h_source.html','../../')
void clear()
Definition: stack.h:112
+int main()
Definition: graph_coloring.cpp:96
diff --git a/d8/d38/queue_8h_source.html b/d8/d38/queue_8h_source.html
index d0a3d7f82..e8f3832f1 100644
--- a/d8/d38/queue_8h_source.html
+++ b/d8/d38/queue_8h_source.html
@@ -185,7 +185,6 @@ $(document).ready(function(){initNavTree('d8/d38/queue_8h_source.html','../../')
void CreateSet(int n)
Definition: disjoint_set.cpp:37
-int main()
Definition: caesar_cipher.cpp:120
node< Kind > * queueFront
Definition: queue.h:83
void display()
Definition: queue.h:20
int main()
Definition: disjoint_set.cpp:93
@@ -225,6 +224,7 @@ $(document).ready(function(){initNavTree('d8/d38/queue_8h_source.html','../../')
Definition: doubly_linked_list.cpp:11
node< Kind > * queueRear
Definition: queue.h:84
Definition: list_array.cpp:8
+int main()
Definition: graph_coloring.cpp:96
Node AvailArray[100]
array that will act as nodes of a linked list.
Definition: linkedlist_implentation_usingarray.cpp:19
void deQueue()
Definition: queue.h:67
diff --git a/db/dc0/namespacebacktracking.html b/db/dc0/namespacebacktracking.html
new file mode 100644
index 000000000..82f01e901
--- /dev/null
+++ b/db/dc0/namespacebacktracking.html
@@ -0,0 +1,829 @@
+
+
+
+
+
+
+
+Algorithms_in_C++: backtracking Namespace Reference
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ Algorithms_in_C++
+ 1.0.0
+
+ Set of algorithms implemented in C++.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
Backtracking algorithms.
+More...
+
+
+template<size_t V>
+void printSolution (const std::array < int, V > &color)
+
+template<size_t V>
+bool isSafe (int v, const std::array < std::array < int, V >, V > &graph , const std::array < int, V > &color, int c)
+
+template<size_t V>
+void graphColoring (const std::array < std::array < int, V >, V > &graph , int m, std::array < int, V > color, int v)
+
+template<size_t V>
+bool issafe (int x, int y, const std::array < std::array < int, V >, V > &sol)
+
+template<size_t V>
+bool solve (int x, int y, int mov , std::array < std::array < int, V >, V > &sol, const std::array < int, V > &xmov, std::array < int, V > &ymov)
+
+template<size_t T>
+int minimax (int depth, int node_index, bool is_max, const std::array < int, T > &scores, double height )
+
+template<size_t V>
+bool isPossible (const std::array < std::array < int, V >, V > &mat, int i, int j, int no, int n)
+
+template<size_t V>
+void printMat (const std::array < std::array < int, V >, V > &mat, int n)
+
+template<size_t V>
+bool solveSudoku (std::array < std::array < int, V >, V > &mat, int i, int j)
+
+
+
+
Backtracking algorithms.
+
+
+
◆ graphColoring()
+
+
+
+
+template<size_t V>
+
+
+ void backtracking::graphColoring
+ (
+ const std::array < std::array < int, V >, V > &
+ graph ,
+
+
+
+
+ int
+ m ,
+
+
+
+
+ std::array < int, V >
+ color ,
+
+
+
+
+ int
+ v
+
+
+
+ )
+
+
+
+
+
A recursive utility function to solve m coloring problem
Template Parameters
+
+ V number of vertices in the graph
+
+
+
+
Parameters
+
+ graph matrix of graph nonnectivity
+ m number of colors
+ [in,out] color description // used in,out to notify in documentation that this parameter gets modified by the function
+ v index of graph vertex to check
+
+
+
+
+
+
+
+
73 backtracking::printSolution<V>(color);
+
+
+
+
+
78 for (
int c = 1; c <= m; c++) {
+
+
80 if (backtracking::isSafe<V>(v,
graph , color, c)) {
+
+
+
+
84 backtracking::graphColoring<V>(
graph , m, color, v + 1);
+
+
+
+
+
+
+
+
+
+
+
◆ isPossible()
+
+
+
+
+template<size_t V>
+
+
+ bool backtracking::isPossible
+ (
+ const std::array < std::array < int, V >, V > &
+ mat ,
+
+
+
+
+ int
+ i ,
+
+
+
+
+ int
+ j ,
+
+
+
+
+ int
+ no ,
+
+
+
+
+ int
+ n
+
+
+
+ )
+
+
+
+
+
Checks if it's possible to place a 'no'
Template Parameters
+
+ V number of vertices in the array
+
+
+
+
Parameters
+
+ mat matrix where numbers are saved
+ i current index in rows
+ j current index in columns
+ no number to be added in matrix
+ n number of times loop will run
+
+
+
+
Returns true if 'mat' is different from 'no'
+
+false if 'mat' equals to 'no'
+
Row or col nahin hona chahiye
+
Subgrid mein nahi hona chahiye
+
+
+
38 for (
int x = 0; x < n; x++) {
+
39 if (mat[x][j] == no || mat[i][x] == no) {
+
+
+
+
+
+
+
+
+
48 for (
int x = sx; x < sx + 3; x++) {
+
49 for (
int y = sy; y < sy + 3; y++) {
+
50 if (mat[x][y] == no) {
+
+
+
+
+
+
+
+
+
+
+
+
◆ isSafe()
+
+
+
+
+template<size_t V>
+
+
+ bool backtracking::isSafe
+ (
+ int
+ v ,
+
+
+
+
+ const std::array < std::array < int, V >, V > &
+ graph ,
+
+
+
+
+ const std::array < int, V > &
+ color ,
+
+
+
+
+ int
+ c
+
+
+
+ )
+
+
+
+
+
A utility function to check if the current color assignment is safe for vertex v
Template Parameters
+
+ V number of vertices in the graph
+
+
+
+
Parameters
+
+ v index of graph vertex to check
+ graph matrix of graph nonnectivity
+ color vector of colors assigned to the graph nodes/vertices
+ c color value to check for the node v
+
+
+
+
Returns true if the color is safe to be assigned to the node
+
+false if the color is not safe to be assigned to the node
+
+
52 for (
int i = 0; i < V; i++) {
+
53 if (
graph [v][i] && c == color[i]) {
+
+
+
+
+
+
+
+
+
+
◆ issafe()
+
+
+
+
+template<size_t V>
+
+
+ bool backtracking::issafe
+ (
+ int
+ x ,
+
+
+
+
+ int
+ y ,
+
+
+
+
+ const std::array < std::array < int, V >, V > &
+ sol
+
+
+
+ )
+
+
+
+
+
A utility function to check if i,j are valid indexes for N*N chessboard
Template Parameters
+
+ V number of vertices in array
+
+
+
+
Parameters
+
+ x current index in rows
+ y current index in columns
+ sol matrix where numbers are saved
+
+
+
+
Returns true if ....
+
+false if ....
+
+
34 return (x < V && x >= 0 && y < V && y >= 0 && sol[x][y] == -1);
+
+
+
+
+
+
◆ minimax()
+
+
+
+
+template<size_t T>
+
+
+ int backtracking::minimax
+ (
+ int
+ depth ,
+
+
+
+
+ int
+ node_index ,
+
+
+
+
+ bool
+ is_max ,
+
+
+
+
+ const std::array < int, T > &
+ scores ,
+
+
+
+
+ double
+ height
+
+
+
+ )
+
+
+
+
+
Check which number is the maximum/minimum in the array
Parameters
+
+ depth current depth in game tree
+ node_index current index in array
+ is_max if current index is the longest number
+ scores saved numbers in array
+ height maximum height for game tree
+
+
+
+
Returns maximum or minimum number
+
+
+
41 return scores[node_index];
+
+
+
44 int v1 =
minimax (depth + 1, node_index * 2, !is_max, scores,
height );
+
45 int v2 =
minimax (depth + 1, node_index * 2 + 1, !is_max, scores,
height );
+
+
+
+
+
+
+
+
+
+
◆ printMat()
+
+
+
+
+template<size_t V>
+
+
+ void backtracking::printMat
+ (
+ const std::array < std::array < int, V >, V > &
+ mat ,
+
+
+
+
+ int
+ n
+
+
+
+ )
+
+
+
+
+
Utility function to print matrix
Template Parameters
+
+ V number of vertices in array
+
+
+
+
Parameters
+
+ mat matrix where numbers are saved
+ n number of times loop will run
+
+
+
+
Returns void
+
+
67 for (
int i = 0; i < n; i++) {
+
68 for (
int j = 0; j < n; j++) {
+
+
70 if ((j + 1) % 3 == 0) {
+
+
+
+
74 if ((i + 1) % 3 == 0) {
+
+
+
+
+
+
+
+
+
+
+
+
◆ printSolution()
+
+
+
+
+template<size_t V>
+
+
+ void backtracking::printSolution
+ (
+ const std::array < int, V > &
+ color )
+
+
+
+
+
A utility function to print solution
Template Parameters
+
+ V number of vertices in the graph
+
+
+
+
Parameters
+
+ color array of colors assigned to the nodes
+
+
+
+
+
33 std::cout <<
"Following are the assigned colors\n" ;
+
34 for (
auto &col : color) {
+
+
+
+
+
+
+
+
+
◆ solve()
+
+
+
+
+template<size_t V>
+
+
+ bool backtracking::solve
+ (
+ int
+ x ,
+
+
+
+
+ int
+ y ,
+
+
+
+
+ int
+ mov ,
+
+
+
+
+ std::array < std::array < int, V >, V > &
+ sol ,
+
+
+
+
+ const std::array < int, V > &
+ xmov ,
+
+
+
+
+ std::array < int, V > &
+ ymov
+
+
+
+ )
+
+
+
+
+
Knight's tour algorithm
Template Parameters
+
+ V number of vertices in array
+
+
+
+
Parameters
+
+ x current index in rows
+ y current index in columns
+ mov movement to be done
+ sol matrix where numbers are saved
+ xmov next move of knight (x coordinate)
+ ymov next move of knight (y coordinate)
+
+
+
+
Returns true if solution exists
+
+false if solution does not exist
+
+
+
+
+
+
+
+
58 for (k = 0; k < V; k++) {
+
+
+
+
62 if (backtracking::issafe<V>(xnext, ynext, sol)) {
+
63 sol[xnext][ynext] =
mov ;
+
+
65 if (backtracking::solve<V>(xnext, ynext,
mov + 1, sol, xmov, ymov) ==
true ) {
+
+
+
+
69 sol[xnext][ynext] = -1;
+
+
+
+
+
+
+
+
+
+
+
+
◆ solveSudoku()
+
+
+
+
+template<size_t V>
+
+
+ bool backtracking::solveSudoku
+ (
+ std::array < std::array < int, V >, V > &
+ mat ,
+
+
+
+
+ int
+ i ,
+
+
+
+
+ int
+ j
+
+
+
+ )
+
+
+
+
+
Sudoku algorithm
Template Parameters
+
+ V number of vertices in array
+
+
+
+
Parameters
+
+ mat matrix where numbers are saved
+ i current index in rows
+ j current index in columns
+
+
+
+
Returns true if 'no' was placed
+
+false if 'no' was not placed
+
Base Case
+
Solve kr chuke hain for 9 rows already
+
Crossed the last Cell in the row
+
Blue Cell - Skip
+
White Cell Try to place every possible no
+
Place the no - assuming solution aa jayega
+
Nahin solve hui loop will place the next no.
+
Sare no try kr liey, kisi se bhi solve nahi hui
+
+
+
+
+
95 backtracking::printMat<V>(mat, 9);
+
+
+
+
+
+
101 return backtracking::solveSudoku<V>(mat, i + 1, 0);
+
+
+
+
105 if (mat[i][j] != 0) {
+
106 return backtracking::solveSudoku<V>(mat, i, j + 1);
+
+
+
+
110 for (
int no = 1; no <= 9; no++) {
+
111 if (backtracking::isPossible<V>(mat, i, j, no, 9)) {
+
+
+
114 bool aageKiSolveHui = backtracking::solveSudoku<V>(mat, i, j + 1);
+
115 if (aageKiSolveHui) {
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+void mov(tower *From, tower *To)
Definition: tower_of_hanoi.cpp:39
+
+
+int height(node *root)
Definition: avltree.cpp:31
+
+int minimax(int depth, int node_index, bool is_max, const std::array< int, T > &scores, double height)
Definition: minimax.cpp:38
+
+
+
+
+
+
+
diff --git a/db/dc0/namespacebacktracking_a4664b23ed7939e3df1c0cb23013eec0c_cgraph.map b/db/dc0/namespacebacktracking_a4664b23ed7939e3df1c0cb23013eec0c_cgraph.map
new file mode 100644
index 000000000..e2540e874
--- /dev/null
+++ b/db/dc0/namespacebacktracking_a4664b23ed7939e3df1c0cb23013eec0c_cgraph.map
@@ -0,0 +1,4 @@
+
+
+
+
diff --git a/db/dc0/namespacebacktracking_a4664b23ed7939e3df1c0cb23013eec0c_cgraph.md5 b/db/dc0/namespacebacktracking_a4664b23ed7939e3df1c0cb23013eec0c_cgraph.md5
new file mode 100644
index 000000000..59b98d88d
--- /dev/null
+++ b/db/dc0/namespacebacktracking_a4664b23ed7939e3df1c0cb23013eec0c_cgraph.md5
@@ -0,0 +1 @@
+024c41812a26be6509cf4d5996b5e6fc
\ No newline at end of file
diff --git a/db/dc0/namespacebacktracking_a4664b23ed7939e3df1c0cb23013eec0c_cgraph.svg b/db/dc0/namespacebacktracking_a4664b23ed7939e3df1c0cb23013eec0c_cgraph.svg
new file mode 100644
index 000000000..eaaf89a1e
--- /dev/null
+++ b/db/dc0/namespacebacktracking_a4664b23ed7939e3df1c0cb23013eec0c_cgraph.svg
@@ -0,0 +1,37 @@
+
+
+
+
+
+
+backtracking::printMat
+
+
+
+Node1
+
+
+backtracking::printMat
+
+
+
+
+
+Node2
+
+
+std::endl
+
+
+
+
+
+Node1->Node2
+
+
+
+
+
diff --git a/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.map b/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.map
new file mode 100644
index 000000000..fb8bdc42a
--- /dev/null
+++ b/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.map
@@ -0,0 +1,6 @@
+
+
+
+
+
+
diff --git a/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.md5 b/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.md5
new file mode 100644
index 000000000..060f5cff8
--- /dev/null
+++ b/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.md5
@@ -0,0 +1 @@
+5c5399e4c33743f7a1baf71fe7f9d8ff
\ No newline at end of file
diff --git a/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.svg b/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.svg
new file mode 100644
index 000000000..48b0139d7
--- /dev/null
+++ b/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.svg
@@ -0,0 +1,67 @@
+
+
+
+
+
+
+backtracking::minimax
+
+
+
+Node1
+
+
+backtracking::minimax
+
+
+
+
+
+Node2
+
+
+height
+
+
+
+
+
+Node1->Node2
+
+
+
+
+
+Node3
+
+
+std::max
+
+
+
+
+
+Node1->Node3
+
+
+
+
+
+Node4
+
+
+std::min
+
+
+
+
+
+Node1->Node4
+
+
+
+
+
diff --git a/db/dc0/namespacebacktracking_a932e38e8912742cedf7b5a837168e03a_cgraph.map b/db/dc0/namespacebacktracking_a932e38e8912742cedf7b5a837168e03a_cgraph.map
new file mode 100644
index 000000000..8a050f482
--- /dev/null
+++ b/db/dc0/namespacebacktracking_a932e38e8912742cedf7b5a837168e03a_cgraph.map
@@ -0,0 +1,4 @@
+
+
+
+
diff --git a/db/dc0/namespacebacktracking_a932e38e8912742cedf7b5a837168e03a_cgraph.md5 b/db/dc0/namespacebacktracking_a932e38e8912742cedf7b5a837168e03a_cgraph.md5
new file mode 100644
index 000000000..8f191fc24
--- /dev/null
+++ b/db/dc0/namespacebacktracking_a932e38e8912742cedf7b5a837168e03a_cgraph.md5
@@ -0,0 +1 @@
+a7ca739f6b1309a5ce6b2d8f07809d6e
\ No newline at end of file
diff --git a/db/dc0/namespacebacktracking_a932e38e8912742cedf7b5a837168e03a_cgraph.svg b/db/dc0/namespacebacktracking_a932e38e8912742cedf7b5a837168e03a_cgraph.svg
new file mode 100644
index 000000000..e5fc0259a
--- /dev/null
+++ b/db/dc0/namespacebacktracking_a932e38e8912742cedf7b5a837168e03a_cgraph.svg
@@ -0,0 +1,37 @@
+
+
+
+
+
+
+backtracking::solve
+
+
+
+Node1
+
+
+backtracking::solve
+
+
+
+
+
+Node2
+
+
+mov
+
+
+
+
+
+Node1->Node2
+
+
+
+
+
diff --git a/de/d02/knight__tour_8cpp__incl.map b/de/d02/knight__tour_8cpp__incl.map
new file mode 100644
index 000000000..4836d1824
--- /dev/null
+++ b/de/d02/knight__tour_8cpp__incl.map
@@ -0,0 +1,5 @@
+
+
+
+
+
diff --git a/de/d02/knight__tour_8cpp__incl.md5 b/de/d02/knight__tour_8cpp__incl.md5
new file mode 100644
index 000000000..ca7c77e3d
--- /dev/null
+++ b/de/d02/knight__tour_8cpp__incl.md5
@@ -0,0 +1 @@
+774723c31e197f4fbb98e4ef59440a11
\ No newline at end of file
diff --git a/de/d02/knight__tour_8cpp__incl.svg b/de/d02/knight__tour_8cpp__incl.svg
new file mode 100644
index 000000000..5cc1668d3
--- /dev/null
+++ b/de/d02/knight__tour_8cpp__incl.svg
@@ -0,0 +1,53 @@
+
+
+
+
+
+
+backtracking/knight_tour.cpp
+
+
+
+Node1
+
+
+backtracking/knight
+_tour.cpp
+
+
+
+
+
+Node2
+
+
+iostream
+
+
+
+
+
+Node1->Node2
+
+
+
+
+
+Node3
+
+
+array
+
+
+
+
+
+Node1->Node3
+
+
+
+
+
diff --git a/df/d36/minimax_8cpp__incl.map b/df/d36/minimax_8cpp__incl.map
new file mode 100644
index 000000000..cfd8c7e37
--- /dev/null
+++ b/df/d36/minimax_8cpp__incl.map
@@ -0,0 +1,7 @@
+
+
+
+
+
+
+
diff --git a/df/d36/minimax_8cpp__incl.md5 b/df/d36/minimax_8cpp__incl.md5
new file mode 100644
index 000000000..8e910415d
--- /dev/null
+++ b/df/d36/minimax_8cpp__incl.md5
@@ -0,0 +1 @@
+bc0558b64a56f937ea7767c0dccc1311
\ No newline at end of file
diff --git a/df/d36/minimax_8cpp__incl.svg b/df/d36/minimax_8cpp__incl.svg
new file mode 100644
index 000000000..ab266e80d
--- /dev/null
+++ b/df/d36/minimax_8cpp__incl.svg
@@ -0,0 +1,82 @@
+
+
+
+
+
+
+backtracking/minimax.cpp
+
+
+
+Node1
+
+
+backtracking/minimax.cpp
+
+
+
+
+
+Node2
+
+
+algorithm
+
+
+
+
+
+Node1->Node2
+
+
+
+
+
+Node3
+
+
+cmath
+
+
+
+
+
+Node1->Node3
+
+
+
+
+
+Node4
+
+
+iostream
+
+
+
+
+
+Node1->Node4
+
+
+
+
+
+Node5
+
+
+array
+
+
+
+
+
+Node1->Node5
+
+
+
+
+
diff --git a/df/dfb/minimax_8cpp.html b/df/dfb/minimax_8cpp.html
new file mode 100644
index 000000000..57510d6ba
--- /dev/null
+++ b/df/dfb/minimax_8cpp.html
@@ -0,0 +1,185 @@
+
+
+
+
+
+
+
+Algorithms_in_C++: backtracking/minimax.cpp File Reference
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ Algorithms_in_C++
+ 1.0.0
+
+ Set of algorithms implemented in C++.
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
returns which is the longest/shortest number using minimax algorithm
+More...
+
#include <algorithm>
+#include <cmath>
+#include <iostream>
+#include <array>
+
+
+
returns which is the longest/shortest number using minimax algorithm
+
Minimax (sometimes MinMax, MM or saddle point) is a decision rule used in artificial intelligence, decision theory, game theory, statistics, and philosophy for minimizing the possible loss for a worst case (maximum loss) scenario. When dealing with gains, it is referred to as "maximin"—to maximize the minimum gain. Originally formulated for two-player zero-sum game theory, covering both the cases where players take alternate moves and those where they make simultaneous moves, it has also been extended to more complex games and to general decision-making in the presence of uncertainty.
+
Author Gleison Batista
+
+David Leal
+
+
+
◆ main()
+
+
+
+
+
+ int main
+ (
+ )
+
+
+
+
+
+
+
+
+
+
+int height(node *root)
Definition: avltree.cpp:31
+int minimax(int depth, int node_index, bool is_max, const std::array< int, T > &scores, double height)
Definition: minimax.cpp:38
+
+
+
+
+
diff --git a/df/dfb/minimax_8cpp.js b/df/dfb/minimax_8cpp.js
new file mode 100644
index 000000000..b65725587
--- /dev/null
+++ b/df/dfb/minimax_8cpp.js
@@ -0,0 +1,5 @@
+var minimax_8cpp =
+[
+ [ "main", "df/dfb/minimax_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ],
+ [ "minimax", "df/dfb/minimax_8cpp.html#a78540bcb5ef3473b2348cbc34748ec50", null ]
+];
\ No newline at end of file
diff --git a/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map b/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map
new file mode 100644
index 000000000..198ddaa0a
--- /dev/null
+++ b/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map
@@ -0,0 +1,9 @@
+
+
+
+
+
+
+
+
+
diff --git a/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 b/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5
new file mode 100644
index 000000000..9e0c45a45
--- /dev/null
+++ b/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5
@@ -0,0 +1 @@
+e3307d9e27c07c5273b6609e519f3e6e
\ No newline at end of file
diff --git a/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg b/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg
new file mode 100644
index 000000000..92b178763
--- /dev/null
+++ b/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg
@@ -0,0 +1,118 @@
+
+
+
+
+
+
+main
+
+
+
+Node1
+
+
+main
+
+
+
+
+
+Node2
+
+
+std::endl
+
+
+
+
+
+Node1->Node2
+
+
+
+
+
+Node3
+
+
+height
+
+
+
+
+
+Node1->Node3
+
+
+
+
+
+Node4
+
+
+backtracking::minimax
+
+
+
+
+
+Node1->Node4
+
+
+
+
+
+Node7
+
+
+std::array::size
+
+
+
+
+
+Node1->Node7
+
+
+
+
+
+Node4->Node3
+
+
+
+
+
+Node5
+
+
+std::max
+
+
+
+
+
+Node4->Node5
+
+
+
+
+
+Node6
+
+
+std::min
+
+
+
+
+
+Node4->Node6
+
+
+
+
+
diff --git a/dir_c11585dfcef32a26e29098facab6c144.html b/dir_c11585dfcef32a26e29098facab6c144.html
index e17716943..2db7225aa 100644
--- a/dir_c11585dfcef32a26e29098facab6c144.html
+++ b/dir_c11585dfcef32a26e29098facab6c144.html
@@ -94,6 +94,22 @@ $(document).ready(function(){initNavTree('dir_c11585dfcef32a26e29098facab6c144.h
backtracking Directory Reference
diff --git a/dir_c11585dfcef32a26e29098facab6c144.js b/dir_c11585dfcef32a26e29098facab6c144.js
new file mode 100644
index 000000000..54e830f54
--- /dev/null
+++ b/dir_c11585dfcef32a26e29098facab6c144.js
@@ -0,0 +1,7 @@
+var dir_c11585dfcef32a26e29098facab6c144 =
+[
+ [ "graph_coloring.cpp", "d3/d40/graph__coloring_8cpp.html", "d3/d40/graph__coloring_8cpp" ],
+ [ "knight_tour.cpp", "d1/d2a/knight__tour_8cpp.html", "d1/d2a/knight__tour_8cpp" ],
+ [ "minimax.cpp", "df/dfb/minimax_8cpp.html", "df/dfb/minimax_8cpp" ],
+ [ "sudoku_solve.cpp", "d6/d7b/sudoku__solve_8cpp.html", "d6/d7b/sudoku__solve_8cpp" ]
+];
\ No newline at end of file
diff --git a/files.html b/files.html
index f316aa62c..533932f49 100644
--- a/files.html
+++ b/files.html
@@ -96,144 +96,149 @@ $(document).ready(function(){initNavTree('files.html',''); initResizable(); });
Here is a list of all documented files with brief descriptions:
[detail level 1 2 3 ]
- ► ciphers
- caesar_cipher.cpp Implementation of Caesar cipher algorithm
- hill_cipher.cpp Implementation of Hill cipher algorithm
- vigenere_cipher.cpp Implementation of Vigenère cipher algorithm
- xor_cipher.cpp Implementation of XOR cipher algorithm
- ► data_structures
- ► cll
- cll.h
- avltree.cpp A simple tree implementation using nodes
- binary_search_tree.cpp A simple tree implementation using structured nodes
- binaryheap.cpp A C++ program to demonstrate common Binary Heap Operations
- disjoint_set.cpp Disjoint Sets Data Structure (Disjoint Sets)
- linkedlist_implentation_usingarray.cpp Linked list implementation using Arrays
- list_array.cpp
- queue.h
- queue_using_two_stacks.cpp
- skip_list.cpp Data structure for fast searching and insertion in \(O(\log n)\) time
- stack.h This class specifies the basic operation on a stack as a linked list
- trie_modern.cpp A basic implementation of trie class to store only lower-case strings
- ► geometry
- line_segment_intersection.cpp Check whether two line segments intersect each other or not
- ► graph
- connected_components.cpp Graph Connected Components (Connected Components)
- hamiltons_cycle.cpp The implementation of Hamilton's cycle dynamic solution for vertices number less than 20
- ► graphics
- spirograph.cpp Implementation of Spirograph
- ► hashing
- chaining.cpp Implementation of hash chains
- double_hash_hash_table.cpp Storage mechanism using double-hashed keys
- linear_probing_hash_table.cpp Storage mechanism using linear probing hash keys
- quadratic_probing_hash_table.cpp Storage mechanism using quadratic probing hash keys
- ► machine_learning
- adaline_learning.cpp Adaptive Linear Neuron (ADALINE) implementation
- kohonen_som_topology.cpp Kohonen self organizing map (topological map)
- kohonen_som_trace.cpp Kohonen self organizing map (data tracing)
- ordinary_least_squares_regressor.cpp Linear regression example using Ordinary least squares
- ► math
- armstrong_number.cpp Program to check if a number is an Armstrong/Narcissistic number in decimal system
- binary_exponent.cpp C++ Program to find Binary Exponent Iteratively and Recursively
- check_amicable_pair.cpp A C++ Program to check whether a pair of number is amicable pair or not
- check_prime.cpp Reduced all possibilities of a number which cannot be prime. Eg: No even number, except 2 can be a prime number, hence we will increment our loop with i+2 jumping on all odd numbers only. If number is <= 1 or if it is even except 2, break the loop and return false telling number is not prime
- complex_numbers.cpp An implementation of Complex Number as Objects
- double_factorial.cpp Compute double factorial : \(n!!\)
- eulers_totient_function.cpp C++ Program to find Euler's Totient function
- extended_euclid_algorithm.cpp GCD using extended Euclid's algorithm
- factorial.cpp C++ program to find factorial of given number
- fast_power.cpp Faster computation for \(a^b\)
- fibonacci.cpp Generate fibonacci sequence
- fibonacci_fast.cpp Faster computation of Fibonacci series
- fibonacci_large.cpp Computes N^th Fibonacci number given as input argument. Uses custom build arbitrary integers library to perform additions and other operations
- gcd_iterative_euclidean.cpp Compute the greatest common denominator of two integers using iterative form of Euclidean algorithm
- gcd_of_n_numbers.cpp This program aims at calculating the GCD of n numbers by division method
- gcd_recursive_euclidean.cpp Compute the greatest common denominator of two integers using recursive form of Euclidean algorithm
- large_factorial.cpp Compute factorial of any arbitratily large number/
- large_number.h Library to perform arithmatic operations on arbitrarily large numbers
- least_common_multiple.cpp
- miller_rabin.cpp
- 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_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
- durand_kerner_roots.cpp Compute all possible approximate roots of any given polynomial using Durand Kerner algorithm
- false_position.cpp Solve the equation \(f(x)=0\) using false position method , also known as the Secant method
- gaussian_elimination.cpp Gaussian elimination method
- golden_search_extrema.cpp Find extrema of a univariate real function in a given interval using golden section search algorithm
- lu_decompose.cpp LU decomposition of a square matrix
- lu_decomposition.h Functions associated with LU Decomposition of a square matrix
- newton_raphson_method.cpp Solve the equation \(f(x)=0\) using Newton-Raphson method for both real and complex solutions
- ode_forward_euler.cpp Solve a multivariable first order ordinary differential equation (ODEs) using forward Euler method
- ode_midpoint_euler.cpp Solve a multivariable first order ordinary differential equation (ODEs) using midpoint Euler method
- ode_semi_implicit_euler.cpp Solve a multivariable first order ordinary differential equation (ODEs) using semi implicit Euler method
- qr_decompose.h Library functions to compute QR decomposition of a given matrix
- qr_decomposition.cpp Program to compute the QR decomposition of a given matrix
- qr_eigen_values.cpp Compute real eigen values and eigen vectors of a symmetric matrix using QR decomposition method
- successive_approximation.cpp Method of successive approximations using fixed-point iteration method
- ► others
- buzz_number.cpp A buzz number is a number that is either divisible by 7 or has last digit as 7
- decimal_to_binary.cpp Function to convert decimal number to binary representation
- decimal_to_hexadecimal.cpp Convert decimal number to hexadecimal representation
- decimal_to_roman_numeral.cpp This Programme Converts a given decimal number in the range [0,4000) to both Lower case and Upper case Roman Numeral
- fast_interger_input.cpp Read integers from stdin continuously as they are entered without waiting for the \n character
- happy_number.cpp A happy number is a number whose sum of digits is calculated until the sum is a single digit, and this sum turns out to be 1
- matrix_exponentiation.cpp Matrix Exponentiation
- palindrome_of_number.cpp Check if a number is palindrome or not
- paranthesis_matching.cpp Perform paranthesis matching
- pascal_triangle.cpp Pascal's triangle implementation
- primality_test.cpp Primality test implementation
- smallest_circle.cpp Get centre and radius of the smallest circle that circumscribes given set of points
- sparse_matrix.cpp
- spiral_print.cpp Print the elements of a matrix traversing it spirally
- stairs_pattern.cpp This program is use to print the following pattern
- tower_of_hanoi.cpp Solve the Tower of Hanoi problem
- vector_important_functions.cpp A C++ program to demonstrate working of std::sort() , std::reverse()
- ► probability
- addition_rule.cpp Addition rule of probabilities
- bayes_theorem.cpp Bayes' theorem
- binomial_dist.cpp Binomial distribution example
- poisson_dist.cpp Poisson statistics
- ► range_queries
- fenwick_tree.cpp Fenwick tree
- ► search
- binary_search.cpp Binary search algorithm
- exponential_search.cpp Exponential search algorithm
- fibonacci_search.cpp Fibonacci search algorithm
- hash_search.cpp Hash Search Algorithm - Best Time Complexity Ω(1)
- interpolation_search.cpp Interpolation search algorithm
- interpolation_search2.cpp Interpolation search algorithm
- jump_search.cpp C++ program to implement Jump Search
- linear_search.cpp Linear search algorithm
- median_search.cpp Median search algorithm
- ternary_search.cpp Ternary search algorithm
- text_search.cpp Search for words in a long textual paragraph
- ► sorting
- bogo_sort.cpp Implementation of Bogosort algorithm
- bubble_sort.cpp Bubble sort algorithm
- comb_sort.cpp Comb Sort Algorithm (Comb Sort)
- gnome_sort.cpp Implementation of gnome sort algorithm
- heap_sort.cpp Heap Sort Algorithm (heap sort) implementation
- insertion_sort.cpp Insertion Sort Algorithm (Insertion Sort)
- merge_sort.cpp Merege Sort Algorithm (MEREGE SORT) implementation
- non_recursive_merge_sort.cpp
- quick_sort.cpp Quick sort algorithm
- quick_sort_3.cpp Implementation Details
- shell_sort2.cpp Shell sort algorithm
- ► strings
- brute_force_string_searching.cpp String pattern search - brute force
- knuth_morris_pratt.cpp The Knuth-Morris-Pratt Algorithm for finding a pattern within a piece of text with complexity O(n + m)
- rabin_karp.cpp The Rabin-Karp Algorithm for finding a pattern within a piece of text with complexity O(n + m)
+ ► backtracking
+ graph_coloring.cpp Prints the assigned colors using Graph Coloring algorithm
+ knight_tour.cpp Knight's tour algorithm
+ minimax.cpp Returns which is the longest/shortest number using minimax algorithm
+ sudoku_solve.cpp Sudoku Solver algorithm
+ ► ciphers
+ caesar_cipher.cpp Implementation of Caesar cipher algorithm
+ hill_cipher.cpp Implementation of Hill cipher algorithm
+ vigenere_cipher.cpp Implementation of Vigenère cipher algorithm
+ xor_cipher.cpp Implementation of XOR cipher algorithm
+ ► data_structures
+ ► cll
+ cll.h
+ avltree.cpp A simple tree implementation using nodes
+ binary_search_tree.cpp A simple tree implementation using structured nodes
+ binaryheap.cpp A C++ program to demonstrate common Binary Heap Operations
+ disjoint_set.cpp Disjoint Sets Data Structure (Disjoint Sets)
+ linkedlist_implentation_usingarray.cpp Linked list implementation using Arrays
+ list_array.cpp
+ queue.h
+ queue_using_two_stacks.cpp
+ skip_list.cpp Data structure for fast searching and insertion in \(O(\log n)\) time
+ stack.h This class specifies the basic operation on a stack as a linked list
+ trie_modern.cpp A basic implementation of trie class to store only lower-case strings
+ ► geometry
+ line_segment_intersection.cpp Check whether two line segments intersect each other or not
+ ► graph
+ connected_components.cpp Graph Connected Components (Connected Components)
+ hamiltons_cycle.cpp The implementation of Hamilton's cycle dynamic solution for vertices number less than 20
+ ► graphics
+ spirograph.cpp Implementation of Spirograph
+ ► hashing
+ chaining.cpp Implementation of hash chains
+ double_hash_hash_table.cpp Storage mechanism using double-hashed keys
+ linear_probing_hash_table.cpp Storage mechanism using linear probing hash keys
+ quadratic_probing_hash_table.cpp Storage mechanism using quadratic probing hash keys
+ ► machine_learning
+ adaline_learning.cpp Adaptive Linear Neuron (ADALINE) implementation
+ kohonen_som_topology.cpp Kohonen self organizing map (topological map)
+ kohonen_som_trace.cpp Kohonen self organizing map (data tracing)
+ ordinary_least_squares_regressor.cpp Linear regression example using Ordinary least squares
+ ► math
+ armstrong_number.cpp Program to check if a number is an Armstrong/Narcissistic number in decimal system
+ binary_exponent.cpp C++ Program to find Binary Exponent Iteratively and Recursively
+ check_amicable_pair.cpp A C++ Program to check whether a pair of number is amicable pair or not
+ check_prime.cpp Reduced all possibilities of a number which cannot be prime. Eg: No even number, except 2 can be a prime number, hence we will increment our loop with i+2 jumping on all odd numbers only. If number is <= 1 or if it is even except 2, break the loop and return false telling number is not prime
+ complex_numbers.cpp An implementation of Complex Number as Objects
+ double_factorial.cpp Compute double factorial : \(n!!\)
+ eulers_totient_function.cpp C++ Program to find Euler's Totient function
+ extended_euclid_algorithm.cpp GCD using extended Euclid's algorithm
+ factorial.cpp C++ program to find factorial of given number
+ fast_power.cpp Faster computation for \(a^b\)
+ fibonacci.cpp Generate fibonacci sequence
+ fibonacci_fast.cpp Faster computation of Fibonacci series
+ fibonacci_large.cpp Computes N^th Fibonacci number given as input argument. Uses custom build arbitrary integers library to perform additions and other operations
+ gcd_iterative_euclidean.cpp Compute the greatest common denominator of two integers using iterative form of Euclidean algorithm
+ gcd_of_n_numbers.cpp This program aims at calculating the GCD of n numbers by division method
+ gcd_recursive_euclidean.cpp Compute the greatest common denominator of two integers using recursive form of Euclidean algorithm
+ large_factorial.cpp Compute factorial of any arbitratily large number/
+ large_number.h Library to perform arithmatic operations on arbitrarily large numbers
+ least_common_multiple.cpp
+ miller_rabin.cpp
+ 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_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
+ durand_kerner_roots.cpp Compute all possible approximate roots of any given polynomial using Durand Kerner algorithm
+ false_position.cpp Solve the equation \(f(x)=0\) using false position method , also known as the Secant method
+ gaussian_elimination.cpp Gaussian elimination method
+ golden_search_extrema.cpp Find extrema of a univariate real function in a given interval using golden section search algorithm
+ lu_decompose.cpp LU decomposition of a square matrix
+ lu_decomposition.h Functions associated with LU Decomposition of a square matrix
+ newton_raphson_method.cpp Solve the equation \(f(x)=0\) using Newton-Raphson method for both real and complex solutions
+ ode_forward_euler.cpp Solve a multivariable first order ordinary differential equation (ODEs) using forward Euler method
+ ode_midpoint_euler.cpp Solve a multivariable first order ordinary differential equation (ODEs) using midpoint Euler method
+ ode_semi_implicit_euler.cpp Solve a multivariable first order ordinary differential equation (ODEs) using semi implicit Euler method
+ qr_decompose.h Library functions to compute QR decomposition of a given matrix
+ qr_decomposition.cpp Program to compute the QR decomposition of a given matrix
+ qr_eigen_values.cpp Compute real eigen values and eigen vectors of a symmetric matrix using QR decomposition method
+ successive_approximation.cpp Method of successive approximations using fixed-point iteration method
+ ► others
+ buzz_number.cpp A buzz number is a number that is either divisible by 7 or has last digit as 7
+ decimal_to_binary.cpp Function to convert decimal number to binary representation
+ decimal_to_hexadecimal.cpp Convert decimal number to hexadecimal representation
+ decimal_to_roman_numeral.cpp This Programme Converts a given decimal number in the range [0,4000) to both Lower case and Upper case Roman Numeral
+ fast_interger_input.cpp Read integers from stdin continuously as they are entered without waiting for the \n character
+ happy_number.cpp A happy number is a number whose sum of digits is calculated until the sum is a single digit, and this sum turns out to be 1
+ matrix_exponentiation.cpp Matrix Exponentiation
+ palindrome_of_number.cpp Check if a number is palindrome or not
+ paranthesis_matching.cpp Perform paranthesis matching
+ pascal_triangle.cpp Pascal's triangle implementation
+ primality_test.cpp Primality test implementation
+ smallest_circle.cpp Get centre and radius of the smallest circle that circumscribes given set of points
+ sparse_matrix.cpp
+ spiral_print.cpp Print the elements of a matrix traversing it spirally
+ stairs_pattern.cpp This program is use to print the following pattern
+ tower_of_hanoi.cpp Solve the Tower of Hanoi problem
+ vector_important_functions.cpp A C++ program to demonstrate working of std::sort() , std::reverse()
+ ► probability
+ addition_rule.cpp Addition rule of probabilities
+ bayes_theorem.cpp Bayes' theorem
+ binomial_dist.cpp Binomial distribution example
+ poisson_dist.cpp Poisson statistics
+ ► range_queries
+ fenwick_tree.cpp Fenwick tree
+ ► search
+ binary_search.cpp Binary search algorithm
+ exponential_search.cpp Exponential search algorithm
+ fibonacci_search.cpp Fibonacci search algorithm
+ hash_search.cpp Hash Search Algorithm - Best Time Complexity Ω(1)
+ interpolation_search.cpp Interpolation search algorithm
+ interpolation_search2.cpp Interpolation search algorithm
+ jump_search.cpp C++ program to implement Jump Search
+ linear_search.cpp Linear search algorithm
+ median_search.cpp Median search algorithm
+ ternary_search.cpp Ternary search algorithm
+ text_search.cpp Search for words in a long textual paragraph
+ ► sorting
+ bogo_sort.cpp Implementation of Bogosort algorithm
+ bubble_sort.cpp Bubble sort algorithm
+ comb_sort.cpp Comb Sort Algorithm (Comb Sort)
+ gnome_sort.cpp Implementation of gnome sort algorithm
+ heap_sort.cpp Heap Sort Algorithm (heap sort) implementation
+ insertion_sort.cpp Insertion Sort Algorithm (Insertion Sort)
+ merge_sort.cpp Merege Sort Algorithm (MEREGE SORT) implementation
+ non_recursive_merge_sort.cpp
+ quick_sort.cpp Quick sort algorithm
+ quick_sort_3.cpp Implementation Details
+ shell_sort2.cpp Shell sort algorithm
+ ► strings
+ brute_force_string_searching.cpp String pattern search - brute force
+ knuth_morris_pratt.cpp The Knuth-Morris-Pratt Algorithm for finding a pattern within a piece of text with complexity O(n + m)
+ rabin_karp.cpp The Rabin-Karp Algorithm for finding a pattern within a piece of text with complexity O(n + m)
diff --git a/files_dup.js b/files_dup.js
index 1e35fc0c3..b78ffc979 100644
--- a/files_dup.js
+++ b/files_dup.js
@@ -1,5 +1,6 @@
var files_dup =
[
+ [ "backtracking", "dir_c11585dfcef32a26e29098facab6c144.html", "dir_c11585dfcef32a26e29098facab6c144" ],
[ "ciphers", "dir_4d6e05837bf820fb089a8a8cdf2f42b7.html", "dir_4d6e05837bf820fb089a8a8cdf2f42b7" ],
[ "data_structures", "dir_2e746e9d06bf2d8ff842208bcc6ebcfc.html", "dir_2e746e9d06bf2d8ff842208bcc6ebcfc" ],
[ "geometry", "dir_e3380d2178455503f266746fb14246a5.html", "dir_e3380d2178455503f266746fb14246a5" ],
diff --git a/globals_func_m.html b/globals_func_m.html
index 63d51ecf2..e974d69b3 100644
--- a/globals_func_m.html
+++ b/globals_func_m.html
@@ -94,21 +94,21 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl
- m -
main()
-: caesar_cipher.cpp
-, hill_cipher.cpp
+: graph_coloring.cpp
+, knight_tour.cpp
+, sudoku_solve.cpp
, xor_cipher.cpp
-, queue_using_two_stacks.cpp
-, double_hash_hash_table.cpp
-, fast_power.cpp
+, connected_components.cpp
+, double_factorial.cpp
+, ode_midpoint_euler.cpp
+, ode_semi_implicit_euler.cpp
+, eulers_totient_function.cpp
+, qr_decomposition.cpp
+, qr_eigen_values.cpp
+, hamiltons_cycle.cpp
+, extended_euclid_algorithm.cpp
, successive_approximation.cpp
, buzz_number.cpp
-, fibonacci.cpp
-, decimal_to_hexadecimal.cpp
-, decimal_to_roman_numeral.cpp
-, linear_probing_hash_table.cpp
-, fibonacci_fast.cpp
-, fast_interger_input.cpp
-, happy_number.cpp
, rabin_karp.cpp
, knuth_morris_pratt.cpp
, brute_force_string_searching.cpp
@@ -144,18 +144,18 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl
, smallest_circle.cpp
, primality_test.cpp
, pascal_triangle.cpp
-, gcd_iterative_euclidean.cpp
-, matrix_exponentiation.cpp
, palindrome_of_number.cpp
-, skip_list.cpp
-, quadratic_probing_hash_table.cpp
-, gcd_of_n_numbers.cpp
-, gcd_recursive_euclidean.cpp
-, adaline_learning.cpp
-, qr_eigen_values.cpp
-, qr_decomposition.cpp
-, ode_semi_implicit_euler.cpp
-, ode_midpoint_euler.cpp
+, matrix_exponentiation.cpp
+, happy_number.cpp
+, fast_interger_input.cpp
+, factorial.cpp
+, decimal_to_hexadecimal.cpp
+, decimal_to_roman_numeral.cpp
+, avltree.cpp
+, spirograph.cpp
+, fast_power.cpp
+, fibonacci.cpp
+, chaining.cpp
, ode_forward_euler.cpp
, newton_raphson_method.cpp
, lu_decompose.cpp
@@ -176,30 +176,34 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl
, number_of_positive_divisors.cpp
, modular_inverse_fermat_little_theorem.cpp
, miller_rabin.cpp
-, large_factorial.cpp
, least_common_multiple.cpp
-, avltree.cpp
-, trie_modern.cpp
-, kohonen_som_topology.cpp
-, kohonen_som_trace.cpp
-, line_segment_intersection.cpp
-, ordinary_least_squares_regressor.cpp
-, factorial.cpp
-, extended_euclid_algorithm.cpp
-, eulers_totient_function.cpp
-, double_factorial.cpp
+, large_factorial.cpp
+, gcd_recursive_euclidean.cpp
+, gcd_of_n_numbers.cpp
+, fibonacci_fast.cpp
+, gcd_iterative_euclidean.cpp
+, caesar_cipher.cpp
+, disjoint_set.cpp
+, double_hash_hash_table.cpp
+, linear_probing_hash_table.cpp
+, linkedlist_implentation_usingarray.cpp
+, quadratic_probing_hash_table.cpp
, complex_numbers.cpp
, check_prime.cpp
, check_amicable_pair.cpp
, binary_exponent.cpp
, armstrong_number.cpp
+, ordinary_least_squares_regressor.cpp
+, kohonen_som_trace.cpp
+, kohonen_som_topology.cpp
+, adaline_learning.cpp
+, minimax.cpp
+, hill_cipher.cpp
+, queue_using_two_stacks.cpp
+, skip_list.cpp
, vigenere_cipher.cpp
-, disjoint_set.cpp
-, connected_components.cpp
-, hamiltons_cycle.cpp
-, linkedlist_implentation_usingarray.cpp
-, spirograph.cpp
-, chaining.cpp
+, trie_modern.cpp
+, line_segment_intersection.cpp
mat_mul()
: qr_eigen_values.cpp
diff --git a/globals_func_s.html b/globals_func_s.html
index 675e8a122..eee978774 100644
--- a/globals_func_s.html
+++ b/globals_func_s.html
@@ -127,12 +127,12 @@ $(document).ready(function(){initNavTree('globals_func_s.html',''); initResizabl
show_pascal()
: pascal_triangle.cpp
-Sieve()
-: primes_up_to_billion.cpp
-
sieve()
: sieve_of_eratosthenes.cpp
+Sieve()
+: primes_up_to_billion.cpp
+
SieveOfEratosthenes()
: prime_factorization.cpp
diff --git a/globals_m.html b/globals_m.html
index aaf67943b..0aaa2e272 100644
--- a/globals_m.html
+++ b/globals_m.html
@@ -94,33 +94,33 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
- m -
main()
-: caesar_cipher.cpp
-, hill_cipher.cpp
+: graph_coloring.cpp
+, knight_tour.cpp
+, sudoku_solve.cpp
, xor_cipher.cpp
-, queue_using_two_stacks.cpp
-, double_hash_hash_table.cpp
-, fast_power.cpp
+, connected_components.cpp
+, double_factorial.cpp
+, ode_midpoint_euler.cpp
+, ode_semi_implicit_euler.cpp
+, eulers_totient_function.cpp
+, qr_decomposition.cpp
+, qr_eigen_values.cpp
+, hamiltons_cycle.cpp
+, extended_euclid_algorithm.cpp
, successive_approximation.cpp
, buzz_number.cpp
-, fibonacci.cpp
+, factorial.cpp
, decimal_to_hexadecimal.cpp
, decimal_to_roman_numeral.cpp
-, linear_probing_hash_table.cpp
-, fibonacci_fast.cpp
+, avltree.cpp
+, spirograph.cpp
+, fast_power.cpp
, fast_interger_input.cpp
, happy_number.cpp
-, gcd_iterative_euclidean.cpp
+, fibonacci.cpp
, matrix_exponentiation.cpp
, palindrome_of_number.cpp
-, skip_list.cpp
-, quadratic_probing_hash_table.cpp
-, gcd_of_n_numbers.cpp
-, pascal_triangle.cpp
-, primality_test.cpp
-, gcd_recursive_euclidean.cpp
-, smallest_circle.cpp
-, sparse_matrix.cpp
-, adaline_learning.cpp
+, chaining.cpp
, rabin_karp.cpp
, knuth_morris_pratt.cpp
, brute_force_string_searching.cpp
@@ -149,25 +149,25 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
, bayes_theorem.cpp
, addition_rule.cpp
, vector_important_functions.cpp
-, large_factorial.cpp
-, spiral_print.cpp
-, stairs_pattern.cpp
-, least_common_multiple.cpp
, tower_of_hanoi.cpp
-, avltree.cpp
-, trie_modern.cpp
-, kohonen_som_topology.cpp
-, miller_rabin.cpp
-, modular_inverse_fermat_little_theorem.cpp
-, kohonen_som_trace.cpp
-, number_of_positive_divisors.cpp
-, power_for_huge_numbers.cpp
-, line_segment_intersection.cpp
-, ordinary_least_squares_regressor.cpp
-, qr_eigen_values.cpp
-, qr_decomposition.cpp
-, ode_semi_implicit_euler.cpp
-, ode_midpoint_euler.cpp
+, stairs_pattern.cpp
+, spiral_print.cpp
+, sparse_matrix.cpp
+, fibonacci_fast.cpp
+, pascal_triangle.cpp
+, primality_test.cpp
+, gcd_iterative_euclidean.cpp
+, smallest_circle.cpp
+, caesar_cipher.cpp
+, disjoint_set.cpp
+, double_hash_hash_table.cpp
+, gcd_of_n_numbers.cpp
+, gcd_recursive_euclidean.cpp
+, linear_probing_hash_table.cpp
+, large_factorial.cpp
+, least_common_multiple.cpp
+, linkedlist_implentation_usingarray.cpp
+, quadratic_probing_hash_table.cpp
, ode_forward_euler.cpp
, newton_raphson_method.cpp
, lu_decompose.cpp
@@ -181,25 +181,29 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
, sqrt_double.cpp
, sieve_of_eratosthenes.cpp
, realtime_stats.cpp
-, prime_factorization.cpp
-, prime_numbers.cpp
-, armstrong_number.cpp
, primes_up_to_billion.cpp
+, prime_numbers.cpp
+, prime_factorization.cpp
+, power_for_huge_numbers.cpp
+, miller_rabin.cpp
+, modular_inverse_fermat_little_theorem.cpp
+, adaline_learning.cpp
+, number_of_positive_divisors.cpp
+, minimax.cpp
+, hill_cipher.cpp
+, queue_using_two_stacks.cpp
+, kohonen_som_topology.cpp
+, kohonen_som_trace.cpp
+, skip_list.cpp
+, ordinary_least_squares_regressor.cpp
+, armstrong_number.cpp
, vigenere_cipher.cpp
-, disjoint_set.cpp
-, connected_components.cpp
+, trie_modern.cpp
, binary_exponent.cpp
-, check_amicable_pair.cpp
-, hamiltons_cycle.cpp
-, check_prime.cpp
, complex_numbers.cpp
-, linkedlist_implentation_usingarray.cpp
-, spirograph.cpp
-, double_factorial.cpp
-, factorial.cpp
-, eulers_totient_function.cpp
-, chaining.cpp
-, extended_euclid_algorithm.cpp
+, check_amicable_pair.cpp
+, line_segment_intersection.cpp
+, check_prime.cpp
mat_mul()
: qr_eigen_values.cpp
@@ -262,8 +266,8 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable();
: tower_of_hanoi.cpp
multiply()
-: power_for_huge_numbers.cpp
-, matrix_exponentiation.cpp
+: matrix_exponentiation.cpp
+, power_for_huge_numbers.cpp
diff --git a/globals_s.html b/globals_s.html
index 722e40c25..acce742de 100644
--- a/globals_s.html
+++ b/globals_s.html
@@ -127,12 +127,12 @@ $(document).ready(function(){initNavTree('globals_s.html',''); initResizable();
show_pascal()
: pascal_triangle.cpp
-sieve()
-: sieve_of_eratosthenes.cpp
-
Sieve()
: primes_up_to_billion.cpp
+sieve()
+: sieve_of_eratosthenes.cpp
+
SieveOfEratosthenes()
: prime_factorization.cpp
diff --git a/namespacemembers.html b/namespacemembers.html
index 50101521f..1e7986655 100644
--- a/namespacemembers.html
+++ b/namespacemembers.html
@@ -154,7 +154,10 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
: string_search
gnomeSort()
-: sorting
+: sorting
+
+graphColoring()
+: backtracking
@@ -172,6 +175,15 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
insertionSort()
: sorting
+isPossible()
+: backtracking
+
+isSafe()
+: backtracking
+
+issafe()
+: backtracking
+
@@ -205,6 +217,9 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
MIN_DISTANCE
: machine_learning
+minimax()
+: backtracking
+
@@ -229,6 +244,12 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
partition()
: sorting
+printMat()
+: backtracking
+
+printSolution()
+: backtracking
+
PROBABILITY
: data_structure
@@ -248,14 +269,11 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
: quadratic_probing
quicksort()
-: sorting
+: sorting
quickSort()
: sorting
-quicksort()
-: sorting
-
@@ -302,6 +320,12 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
shuffle()
: sorting
+solve()
+: backtracking
+
+solveSudoku()
+: backtracking
+
spirograph()
: spirograph
diff --git a/namespacemembers_func.html b/namespacemembers_func.html
index d14fadfd5..892a0c362 100644
--- a/namespacemembers_func.html
+++ b/namespacemembers_func.html
@@ -154,7 +154,10 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
: string_search
gnomeSort()
-: sorting
+: sorting
+
+graphColoring()
+: backtracking
@@ -172,6 +175,15 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
insertionSort()
: sorting
+isPossible()
+: backtracking
+
+isSafe()
+: backtracking
+
+issafe()
+: backtracking
+
@@ -199,6 +211,9 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
merge()
: sorting
+minimax()
+: backtracking
+
@@ -223,6 +238,12 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
partition()
: sorting
+printMat()
+: backtracking
+
+printSolution()
+: backtracking
+
putProber()
: double_hashing
, linear_probing
@@ -239,14 +260,11 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
: quadratic_probing
quicksort()
-: sorting
+: sorting
quickSort()
: sorting
-quicksort()
-: sorting
-
@@ -293,6 +311,12 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
shuffle()
: sorting
+solve()
+: backtracking
+
+solveSudoku()
+: backtracking
+
spirograph()
: spirograph
diff --git a/namespaces.html b/namespaces.html
index 33fff63d7..00ea8fba9 100644
--- a/namespaces.html
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@@ -96,21 +96,22 @@ $(document).ready(function(){initNavTree('namespaces.html',''); initResizable();
Here is a list of all documented namespaces with brief descriptions:
diff --git a/namespaces_dup.js b/namespaces_dup.js
index 2d5434f46..5b2594d65 100644
--- a/namespaces_dup.js
+++ b/namespaces_dup.js
@@ -1,5 +1,6 @@
var namespaces_dup =
[
+ [ "backtracking", "db/dc0/namespacebacktracking.html", null ],
[ "caesar", "dd/d81/namespacecaesar.html", null ],
[ "ciphers", "d6/d4e/namespaceciphers.html", null ],
[ "data_structure", "d1/db4/namespacedata__structure.html", null ],
diff --git a/navtreedata.js b/navtreedata.js
index f6ba13fd2..fc8876137 100644
--- a/navtreedata.js
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diff --git a/navtreeindex0.js b/navtreeindex0.js
index 55c4164b3..c17194c53 100644
--- a/navtreeindex0.js
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