diff --git a/d0/d83/n__queens_8cpp__incl.map b/d0/d83/n__queens_8cpp__incl.map index 5779a77de..a90f0e8cf 100644 --- a/d0/d83/n__queens_8cpp__incl.map +++ b/d0/d83/n__queens_8cpp__incl.map @@ -1,5 +1,5 @@ - - + + diff --git a/d0/d83/n__queens_8cpp__incl.md5 b/d0/d83/n__queens_8cpp__incl.md5 index 90da382f1..1d2b4dcbb 100644 --- a/d0/d83/n__queens_8cpp__incl.md5 +++ b/d0/d83/n__queens_8cpp__incl.md5 @@ -1 +1 @@ -f87b3655775488f459df8c6053d2f5c5 \ No newline at end of file +ec423be383376690578eba1614c444df \ No newline at end of file diff --git a/d0/d83/n__queens_8cpp__incl.svg b/d0/d83/n__queens_8cpp__incl.svg index 3807761fa..e0cabd3ea 100644 --- a/d0/d83/n__queens_8cpp__incl.svg +++ b/d0/d83/n__queens_8cpp__incl.svg @@ -22,8 +22,8 @@ Node2 - -iostream + +array @@ -37,8 +37,8 @@ Node3 - -array + +iostream diff --git a/d1/d2a/knight__tour_8cpp.html b/d1/d2a/knight__tour_8cpp.html index 9794d4bb0..94504d298 100644 --- a/d1/d2a/knight__tour_8cpp.html +++ b/d1/d2a/knight__tour_8cpp.html @@ -99,8 +99,8 @@ $(document).ready(function(){initNavTree('d1/d2a/knight__tour_8cpp.html','../../

Knight's tour algorithm More...

-
#include <iostream>
-#include <array>
+
#include <array>
+#include <iostream>
Include dependency graph for knight_tour.cpp:
@@ -111,18 +111,22 @@ Include dependency graph for knight_tour.cpp:

Namespaces

namespace  backtracking - Backtracking algorithms.
+ for std::vector
+  +namespace  knight_tour + Functions for the Knight's tour algorithm.
  - - - - - - + + + + + + +

Functions

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)
 
template<size_t V>
bool backtracking::knight_tour::issafe (int x, int y, const std::array< std::array< int, V >, V > &sol)
 
template<size_t V>
bool backtracking::knight_tour::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 ()
 Main function. More...
 

Detailed Description

@@ -132,6 +136,68 @@ Functions
David Leal

Function Documentation

+ +

◆ issafe()

+ +
+
+
+template<size_t V>
+ + + + + + + + + + + + + + + + + + + + + + + + +
bool backtracking::knight_tour::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
+ + +
Vnumber of vertices in array
+
+
+
Parameters
+ + + + +
xcurrent index in rows
ycurrent index in columns
solmatrix where numbers are saved
+
+
+
Returns
true if ....
+
+false if ....
+
40 {
+
41 return (x < V && x >= 0 && y < V && y >= 0 && sol[x][y] == -1);
+
42}
+
+Here is the call graph for this function:
+
+
+
+
+ +
+

◆ main()

@@ -147,36 +213,145 @@ Functions
-

Main function

-
80 {
-
81 const int n = 8;
-
82 std::array <std::array <int, n>, n> sol = { 0 };
-
83
-
84 int i, j;
-
85 for (i = 0; i < n; i++) {
-
86 for (j = 0; j < n; j++) { sol[i][j] = -1; }
-
87 }
-
88
-
89 std::array <int, n> xmov = { 2, 1, -1, -2, -2, -1, 1, 2 };
-
90 std::array <int, n> ymov = { 1, 2, 2, 1, -1, -2, -2, -1 };
+ +

Main function.

+
Returns
0 on exit
+
88 {
+
89 const int n = 8;
+
91
-
92 sol[0][0] = 0;
-
93
-
94 bool flag = backtracking::solve<n>(0, 0, 1, sol, xmov, ymov);
-
95 if (flag == false) {
-
96 std::cout << "Error: Solution does not exist\n";
+
92 int i = 0, j = 0;
+
93 for (i = 0; i < n; i++) {
+
94 for (j = 0; j < n; j++) {
+
95 sol[i][j] = -1;
+
96 }
97 }
-
98 else {
-
99 for (i = 0; i < n; i++) {
-
100 for (j = 0; j < n; j++) { std::cout << sol[i][j] << " "; }
-
101 std::cout << "\n";
-
102 }
-
103 }
-
104 return 0;
-
105}
+
98
+
99 std::array<int, n> xmov = {2, 1, -1, -2, -2, -1, 1, 2};
+
100 std::array<int, n> ymov = {1, 2, 2, 1, -1, -2, -2, -1};
+
101
+
102 sol[0][0] = 0;
+
103
+
104 bool flag = backtracking::knight_tour::solve<n>(0, 0, 1, sol, xmov, ymov);
+
105 if (flag == false) {
+
106 std::cout << "Error: Solution does not exist\n";
+
107 } else {
+
108 for (i = 0; i < n; i++) {
+
109 for (j = 0; j < n; j++) {
+
110 std::cout << sol[i][j] << " ";
+
111 }
+
112 std::cout << "\n";
+
113 }
+
114 }
+
115 return 0;
+
116}
+
+
+ +

◆ solve()

+ +
+
+
+template<size_t V>
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
bool backtracking::knight_tour::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
+ + +
Vnumber of vertices in array
+
+
+
Parameters
+ + + + + + + +
xcurrent index in rows
ycurrent index in columns
movmovement to be done
solmatrix where numbers are saved
xmovnext move of knight (x coordinate)
ymovnext move of knight (y coordinate)
+
+
+
Returns
true if solution exists
+
+false if solution does not exist
+
58 {
+
59 int k = 0, xnext = 0, ynext = 0;
+
60
+
61 if (mov == V * V) {
+
62 return true;
+
63 }
+
64
+
65 for (k = 0; k < V; k++) {
+
66 xnext = x + xmov[k];
+
67 ynext = y + ymov[k];
+
68
+
69 if (issafe<V>(xnext, ynext, sol)) {
+
70 sol[xnext][ynext] = mov;
+
71
+
72 if (solve<V>(xnext, ynext, mov + 1, sol, xmov, ymov) == true) {
+
73 return true;
+
74 } else {
+
75 sol[xnext][ynext] = -1;
+
76 }
+
77 }
+
78 }
+
79 return false;
+
80}
+
void mov(tower *From, tower *To)
Definition: tower_of_hanoi.cpp:39
+
+Here is the call graph for this function:
+
+
+
+
+
diff --git a/d1/d2a/knight__tour_8cpp.js b/d1/d2a/knight__tour_8cpp.js index 2151587ce..b1cc65522 100644 --- a/d1/d2a/knight__tour_8cpp.js +++ b/d1/d2a/knight__tour_8cpp.js @@ -1,6 +1,6 @@ var knight__tour_8cpp = [ - [ "issafe", "d1/d2a/knight__tour_8cpp.html#a531de8cb2d4d16ca63353d9c72158257", null ], + [ "issafe", "d1/d2a/knight__tour_8cpp.html#af27031fbff093ffd625f64010d98aab2", null ], [ "main", "d1/d2a/knight__tour_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ], - [ "solve", "d1/d2a/knight__tour_8cpp.html#a932e38e8912742cedf7b5a837168e03a", null ] + [ "solve", "d1/d2a/knight__tour_8cpp.html#aaa47356d98676cf5315d978f741e29c9", null ] ]; \ No newline at end of file diff --git a/d1/d2a/knight__tour_8cpp_aaa47356d98676cf5315d978f741e29c9_cgraph.map b/d1/d2a/knight__tour_8cpp_aaa47356d98676cf5315d978f741e29c9_cgraph.map new file mode 100644 index 000000000..d702f7841 --- /dev/null +++ b/d1/d2a/knight__tour_8cpp_aaa47356d98676cf5315d978f741e29c9_cgraph.map @@ -0,0 +1,4 @@ + + + + diff --git a/d1/d2a/knight__tour_8cpp_aaa47356d98676cf5315d978f741e29c9_cgraph.md5 b/d1/d2a/knight__tour_8cpp_aaa47356d98676cf5315d978f741e29c9_cgraph.md5 new file mode 100644 index 000000000..23af0f5c7 --- /dev/null +++ b/d1/d2a/knight__tour_8cpp_aaa47356d98676cf5315d978f741e29c9_cgraph.md5 @@ -0,0 +1 @@ +fe6218a377814190bd7aac91c9407c1f \ No newline at end of file diff --git a/d1/d2a/knight__tour_8cpp_aaa47356d98676cf5315d978f741e29c9_cgraph.svg b/d1/d2a/knight__tour_8cpp_aaa47356d98676cf5315d978f741e29c9_cgraph.svg new file mode 100644 index 000000000..e30a103c1 --- /dev/null +++ b/d1/d2a/knight__tour_8cpp_aaa47356d98676cf5315d978f741e29c9_cgraph.svg @@ -0,0 +1,44 @@ + + + + + + +backtracking::knight_tour::solve + + + +Node1 + + +backtracking::knight +_tour::solve + + + + + +Node1->Node1 + + + + + +Node2 + + +mov + + + + + +Node1->Node2 + + + + + diff --git a/d1/d2a/knight__tour_8cpp_af27031fbff093ffd625f64010d98aab2_cgraph.map b/d1/d2a/knight__tour_8cpp_af27031fbff093ffd625f64010d98aab2_cgraph.map new file mode 100644 index 000000000..1284710bd --- /dev/null +++ b/d1/d2a/knight__tour_8cpp_af27031fbff093ffd625f64010d98aab2_cgraph.map @@ -0,0 +1,3 @@ + + + diff --git a/d1/d2a/knight__tour_8cpp_af27031fbff093ffd625f64010d98aab2_cgraph.md5 b/d1/d2a/knight__tour_8cpp_af27031fbff093ffd625f64010d98aab2_cgraph.md5 new file mode 100644 index 000000000..1c36b64aa --- /dev/null +++ b/d1/d2a/knight__tour_8cpp_af27031fbff093ffd625f64010d98aab2_cgraph.md5 @@ -0,0 +1 @@ +6177ffefe6a7004016837480e27c487b \ No newline at end of file diff --git a/d1/d2a/knight__tour_8cpp_af27031fbff093ffd625f64010d98aab2_cgraph.svg b/d1/d2a/knight__tour_8cpp_af27031fbff093ffd625f64010d98aab2_cgraph.svg new file mode 100644 index 000000000..7a8dd5d35 --- /dev/null +++ b/d1/d2a/knight__tour_8cpp_af27031fbff093ffd625f64010d98aab2_cgraph.svg @@ -0,0 +1,29 @@ + + + + + + +backtracking::knight_tour::issafe + + + +Node1 + + +backtracking::knight +_tour::issafe + + + + + +Node1->Node1 + + + + + diff --git a/d1/db6/namespaceknight__tour.html b/d1/db6/namespaceknight__tour.html new file mode 100644 index 000000000..1101dd61e --- /dev/null +++ b/d1/db6/namespaceknight__tour.html @@ -0,0 +1,111 @@ + + + + + + + +Algorithms_in_C++: knight_tour Namespace Reference + + + + + + + + + + + + + + + +
+
+ + + + + + +
+
Algorithms_in_C++ 1.0.0 +
+
Set of algorithms implemented in C++.
+
+
+ + + + + + + +
+
+ +
+
+
+ +
+ +
+
+ + +
+ +
+ +
+
knight_tour Namespace Reference
+
+
+ +

Functions for the Knight's tour algorithm. +More...

+

Detailed Description

+

Functions for the Knight's tour algorithm.

+
+
+ + + + diff --git a/d2/d5a/subset__sum_8cpp.html b/d2/d5a/subset__sum_8cpp.html index b426936f6..0cc4c5e43 100644 --- a/d2/d5a/subset__sum_8cpp.html +++ b/d2/d5a/subset__sum_8cpp.html @@ -112,7 +112,7 @@ Include dependency graph for subset_sum.cpp:

Namespaces

namespace  backtracking - Backtracking algorithms.
+ for std::vector
  namespace  Subsets  Functions for the Subset Sum problem.
diff --git a/d3/d40/graph__coloring_8cpp.html b/d3/d40/graph__coloring_8cpp.html index bcedf0051..0f92004f0 100644 --- a/d3/d40/graph__coloring_8cpp.html +++ b/d3/d40/graph__coloring_8cpp.html @@ -112,21 +112,28 @@ Include dependency graph for graph_coloring.cpp:

Namespaces

namespace  backtracking - Backtracking algorithms.
+ for std::vector
+  +namespace  graph_coloring + Functions for the Graph Coloring algorithm,.
  - - - - - - - - - + + + + + + + + + + + + +

Functions

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)
 
template<size_t V>
void backtracking::graph_coloring::printSolution (const std::array< int, V > &color)
 A utility function to print the solution. More...
 
template<size_t V>
bool backtracking::graph_coloring::isSafe (int v, const std::array< std::array< int, V >, V > &graph, const std::array< int, V > &color, int c)
 Utility function to check if the current color assignment is safe for vertex v. More...
 
template<size_t V>
void backtracking::graph_coloring::graphColoring (const std::array< std::array< int, V >, V > &graph, int m, std::array< int, V > color, int v)
 Recursive utility function to solve m coloring problem. More...
 
int main ()
 Main function. More...
 

Detailed Description

@@ -136,6 +143,170 @@ Functions
David Leal

Function Documentation

+ +

◆ graphColoring()

+ +
+
+
+template<size_t V>
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
void backtracking::graph_coloring::graphColoring (const std::array< std::array< int, V >, V > & graph,
int m,
std::array< int, V > color,
int v 
)
+
+ +

Recursive utility function to solve m coloring problem.

+
Template Parameters
+ + +
Vnumber of vertices in the graph
+
+
+
Parameters
+ + + + + +
graphmatrix of graph nonnectivity
mnumber of colors
[in,out]colordescription // used in,out to notify in documentation that this parameter gets modified by the function
vindex of graph vertex to check
+
+
+
83 {
+
84 // base case:
+
85 // If all vertices are assigned a color then return true
+
86 if (v == V) {
+
87 printSolution<V>(color);
+
88 return;
+
89 }
+
90
+
91 // Consider this vertex v and try different colors
+
92 for (int c = 1; c <= m; c++) {
+
93 // Check if assignment of color c to v is fine
+
94 if (isSafe<V>(v, graph, color, c)) {
+
95 color[v] = c;
+
96
+
97 // recur to assign colors to rest of the vertices
+
98 graphColoring<V>(graph, m, color, v + 1);
+
99
+
100 // If assigning color c doesn't lead to a solution then remove it
+
101 color[v] = 0;
+
102 }
+
103 }
+
104}
+
Graph Algorithms.
+
+Here is the call graph for this function:
+
+
+
+
+ +
+
+ +

◆ isSafe()

+ +
+
+
+template<size_t V>
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
bool backtracking::graph_coloring::isSafe (int v,
const std::array< std::array< int, V >, V > & graph,
const std::array< int, V > & color,
int c 
)
+
+ +

Utility function to check if the current color assignment is safe for vertex v.

+
Template Parameters
+ + +
Vnumber of vertices in the graph
+
+
+
Parameters
+ + + + + +
vindex of graph vertex to check
graphmatrix of graph nonnectivity
colorvector of colors assigned to the graph nodes/vertices
ccolor 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
+
63 {
+
64 for (int i = 0; i < V; i++) {
+
65 if (graph[v][i] && c == color[i]) {
+
66 return false;
+
67 }
+
68 }
+
69 return true;
+
70}
+
+Here is the call graph for this function:
+
+
+
+
+ +
+

◆ main()

@@ -151,32 +322,81 @@ Functions
-

Main function

-

Driver Code

+ +

Main function.

+
Returns
0 on exit
+

Driver Code

Examples
/Users/runner/work/C-Plus-Plus/C-Plus-Plus/numerical_methods/rungekutta.cpp, and /Users/runner/work/C-Plus-Plus/C-Plus-Plus/sorting/wiggle_sort.cpp.
-
100 {
-
101 // Create following graph and test whether it is 3 colorable
-
102 // (3)---(2)
-
103 // | / |
-
104 // | / |
-
105 // | / |
-
106 // (0)---(1)
-
107
-
108 const int V = 4; // number of vertices in the graph
- -
110 std::array<int, V>({0, 1, 1, 1}), std::array<int, V>({1, 0, 1, 0}),
-
111 std::array<int, V>({1, 1, 0, 1}), std::array<int, V>({1, 0, 1, 0})};
-
112
-
113 int m = 3; // Number of colors
-
114 std::array<int, V> color{};
-
115
-
116 backtracking::graphColoring<V>(graph, m, color, 0);
-
117 return 0;
-
118}
+
112 {
+
113 // Create following graph and test whether it is 3 colorable
+
114 // (3)---(2)
+
115 // | / |
+
116 // | / |
+
117 // | / |
+
118 // (0)---(1)
+
119
+
120 const int V = 4; // number of vertices in the graph
+ +
122 std::array<int, V>({0, 1, 1, 1}), std::array<int, V>({1, 0, 1, 0}),
+
123 std::array<int, V>({1, 1, 0, 1}), std::array<int, V>({1, 0, 1, 0})};
+
124
+
125 int m = 3; // Number of colors
+
126 std::array<int, V> color{};
+
127
+
128 backtracking::graph_coloring::graphColoring<V>(graph, m, color, 0);
+
129 return 0;
+
130}
-
Graph Algorithms.
+
+
+ +

◆ printSolution()

+ +
+
+
+template<size_t V>
+ + + + + + + + +
void backtracking::graph_coloring::printSolution (const std::array< int, V > & color)
+
+ +

A utility function to print the solution.

+
Template Parameters
+ + +
Vnumber of vertices in the graph
+
+
+
Parameters
+ + +
colorarray of colors assigned to the nodes
+
+
+
42 {
+
43 std::cout << "Following are the assigned colors\n";
+
44 for (auto& col : color) {
+
45 std::cout << col;
+
46 }
+
47 std::cout << "\n";
+
48}
+ +
+Here is the call graph for this function:
+
+
+
+
+
diff --git a/d3/d40/graph__coloring_8cpp.js b/d3/d40/graph__coloring_8cpp.js index 37af493fa..b799df9ee 100644 --- a/d3/d40/graph__coloring_8cpp.js +++ b/d3/d40/graph__coloring_8cpp.js @@ -1,7 +1,7 @@ var graph__coloring_8cpp = [ - [ "graphColoring", "d3/d40/graph__coloring_8cpp.html#a29360ddb1bad75caa61ec895b6e71986", null ], - [ "isSafe", "d3/d40/graph__coloring_8cpp.html#a5a6c3c2b065ea1c07adf2f638f8efc43", null ], + [ "graphColoring", "d3/d40/graph__coloring_8cpp.html#a40337efc5dad761096489bf2c5b1c80c", null ], + [ "isSafe", "d3/d40/graph__coloring_8cpp.html#a976efe049deb042bf1f02612e181ab1d", null ], [ "main", "d3/d40/graph__coloring_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4", null ], - [ "printSolution", "d3/d40/graph__coloring_8cpp.html#a8cfb2d08840766ac4402196079308a36", null ] + [ "printSolution", "d3/d40/graph__coloring_8cpp.html#a8c47fa37fb6eeeb781b2ec1b05af6b07", null ] ]; \ No newline at end of file diff --git a/d3/d40/graph__coloring_8cpp_a40337efc5dad761096489bf2c5b1c80c_cgraph.map b/d3/d40/graph__coloring_8cpp_a40337efc5dad761096489bf2c5b1c80c_cgraph.map new file mode 100644 index 000000000..e0d9d8256 --- /dev/null +++ b/d3/d40/graph__coloring_8cpp_a40337efc5dad761096489bf2c5b1c80c_cgraph.map @@ -0,0 +1,3 @@ + + + diff --git a/d3/d40/graph__coloring_8cpp_a40337efc5dad761096489bf2c5b1c80c_cgraph.md5 b/d3/d40/graph__coloring_8cpp_a40337efc5dad761096489bf2c5b1c80c_cgraph.md5 new file mode 100644 index 000000000..92bb47e4b --- /dev/null +++ b/d3/d40/graph__coloring_8cpp_a40337efc5dad761096489bf2c5b1c80c_cgraph.md5 @@ -0,0 +1 @@ +9dccd97635ab6e07ca97f30c6a179215 \ No newline at end of file diff --git a/d3/d40/graph__coloring_8cpp_a40337efc5dad761096489bf2c5b1c80c_cgraph.svg b/d3/d40/graph__coloring_8cpp_a40337efc5dad761096489bf2c5b1c80c_cgraph.svg new file mode 100644 index 000000000..3bf13273d --- /dev/null +++ b/d3/d40/graph__coloring_8cpp_a40337efc5dad761096489bf2c5b1c80c_cgraph.svg @@ -0,0 +1,29 @@ + + + + + + +backtracking::graph_coloring::graphColoring + + + +Node1 + + +backtracking::graph +_coloring::graphColoring + + + + + +Node1->Node1 + + + + + diff --git a/d3/d40/graph__coloring_8cpp_a8c47fa37fb6eeeb781b2ec1b05af6b07_cgraph.map b/d3/d40/graph__coloring_8cpp_a8c47fa37fb6eeeb781b2ec1b05af6b07_cgraph.map new file mode 100644 index 000000000..7781990d4 --- /dev/null +++ b/d3/d40/graph__coloring_8cpp_a8c47fa37fb6eeeb781b2ec1b05af6b07_cgraph.map @@ -0,0 +1,3 @@ + + + diff --git a/d3/d40/graph__coloring_8cpp_a8c47fa37fb6eeeb781b2ec1b05af6b07_cgraph.md5 b/d3/d40/graph__coloring_8cpp_a8c47fa37fb6eeeb781b2ec1b05af6b07_cgraph.md5 new file mode 100644 index 000000000..87ac84378 --- /dev/null +++ b/d3/d40/graph__coloring_8cpp_a8c47fa37fb6eeeb781b2ec1b05af6b07_cgraph.md5 @@ -0,0 +1 @@ +bdf49531d2c787f88b14290f7de87439 \ No newline at end of file diff --git a/d3/d40/graph__coloring_8cpp_a8c47fa37fb6eeeb781b2ec1b05af6b07_cgraph.svg b/d3/d40/graph__coloring_8cpp_a8c47fa37fb6eeeb781b2ec1b05af6b07_cgraph.svg new file mode 100644 index 000000000..ccc9f4150 --- /dev/null +++ b/d3/d40/graph__coloring_8cpp_a8c47fa37fb6eeeb781b2ec1b05af6b07_cgraph.svg @@ -0,0 +1,29 @@ + + + + + + +backtracking::graph_coloring::printSolution + + + +Node1 + + +backtracking::graph +_coloring::printSolution + + + + + +Node1->Node1 + + + + + diff --git a/d3/d40/graph__coloring_8cpp_a976efe049deb042bf1f02612e181ab1d_cgraph.map b/d3/d40/graph__coloring_8cpp_a976efe049deb042bf1f02612e181ab1d_cgraph.map new file mode 100644 index 000000000..ccfc18e3e --- /dev/null +++ b/d3/d40/graph__coloring_8cpp_a976efe049deb042bf1f02612e181ab1d_cgraph.map @@ -0,0 +1,3 @@ + + + diff --git a/d3/d40/graph__coloring_8cpp_a976efe049deb042bf1f02612e181ab1d_cgraph.md5 b/d3/d40/graph__coloring_8cpp_a976efe049deb042bf1f02612e181ab1d_cgraph.md5 new file mode 100644 index 000000000..f38ad8254 --- /dev/null +++ b/d3/d40/graph__coloring_8cpp_a976efe049deb042bf1f02612e181ab1d_cgraph.md5 @@ -0,0 +1 @@ +3ee00c8129f2726d0272babc0a9175d4 \ No newline at end of file diff --git a/d3/d40/graph__coloring_8cpp_a976efe049deb042bf1f02612e181ab1d_cgraph.svg b/d3/d40/graph__coloring_8cpp_a976efe049deb042bf1f02612e181ab1d_cgraph.svg new file mode 100644 index 000000000..9cca41f07 --- /dev/null +++ b/d3/d40/graph__coloring_8cpp_a976efe049deb042bf1f02612e181ab1d_cgraph.svg @@ -0,0 +1,29 @@ + + + + + + +backtracking::graph_coloring::isSafe + + + +Node1 + + +backtracking::graph +_coloring::isSafe + + + + + +Node1->Node1 + + + + + diff --git a/d4/d3e/n__queens_8cpp.html b/d4/d3e/n__queens_8cpp.html index bce6069aa..39643a41a 100644 --- a/d4/d3e/n__queens_8cpp.html +++ b/d4/d3e/n__queens_8cpp.html @@ -99,8 +99,8 @@ $(document).ready(function(){initNavTree('d4/d3e/n__queens_8cpp.html','../../');

Eight Queens puzzle More...

-
#include <iostream>
-#include <array>
+
#include <array>
+#include <iostream>
Include dependency graph for n_queens.cpp:
@@ -111,7 +111,7 @@ Include dependency graph for n_queens.cpp:

Namespaces

namespace  backtracking - Backtracking algorithms.
+ for std::vector
  namespace  n_queens  Functions for Eight Queens puzzle.
@@ -129,6 +129,7 @@ Functions void backtracking::n_queens::solveNQ (std::array< std::array< int, n >, n > board, const int &col)   int main () + Main function. More...
 

Detailed Description

@@ -188,30 +189,30 @@ template<size_t n>
Returns
true if queen can be placed on matrix
false if queen can't be placed on matrix
-
58 {
-
59 int i = 0, j = 0;
-
60
-
61 // Check this row on left side
-
62 for (i = 0; i < col; i++) {
-
63 if (board[row][i]) {
-
64 return false;
-
65 }
-
66 }
-
67
-
68 // Check upper diagonal on left side
-
69 for (i = row, j = col; i >= 0 && j >= 0; i--, j--) {
-
70 if (board[i][j]) {
-
71 return false;
-
72 }
-
73 }
-
74 // Check lower diagonal on left side
-
75 for (i = row, j = col; j >= 0 && i < n; i++, j--) {
-
76 if (board[i][j]) {
-
77 return false;
-
78 }
-
79 }
-
80 return true;
-
81 }
+
59 {
+
60 int i = 0, j = 0;
+
61
+
62 // Check this row on left side
+
63 for (i = 0; i < col; i++) {
+
64 if (board[row][i]) {
+
65 return false;
+
66 }
+
67 }
+
68
+
69 // Check upper diagonal on left side
+
70 for (i = row, j = col; i >= 0 && j >= 0; i--, j--) {
+
71 if (board[i][j]) {
+
72 return false;
+
73 }
+
74 }
+
75 // Check lower diagonal on left side
+
76 for (i = row, j = col; j >= 0 && i < n; i++, j--) {
+
77 if (board[i][j]) {
+
78 return false;
+
79 }
+
80 }
+
81 return true;
+
82}
@@ -230,19 +231,18 @@ template<size_t n>
-

Main function

-
118 {
-
119 const int n = 4;
- -
121 std::array<int, n>({0, 0, 0, 0}),
-
122 std::array<int, n>({0, 0, 0, 0}),
-
123 std::array<int, n>({0, 0, 0, 0}),
-
124 std::array<int, n>({0, 0, 0, 0})
-
125 };
-
126
-
127 backtracking::n_queens::solveNQ<n>(board, 0);
-
128 return 0;
-
129}
+ +

Main function.

+
Returns
0 on exit
+
120 {
+
121 const int n = 4;
+ +
123 std::array<int, n>({0, 0, 0, 0}), std::array<int, n>({0, 0, 0, 0}),
+
124 std::array<int, n>({0, 0, 0, 0}), std::array<int, n>({0, 0, 0, 0})};
+
125
+
126 backtracking::n_queens::solveNQ<n>(board, 0);
+
127 return 0;
+
128}
@@ -276,15 +276,15 @@ template<size_t n>
-
37 {
-
38 std::cout << "\n";
-
39 for (int i = 0; i < n; i++) {
-
40 for (int j = 0; j < n; j++) {
-
41 std::cout << "" << board[i][j] << " ";
-
42 }
-
43 std::cout << "\n";
-
44 }
+
38 {
+
39 std::cout << "\n";
+
40 for (int i = 0; i < n; i++) {
+
41 for (int j = 0; j < n; j++) {
+
42 std::cout << "" << board[i][j] << " ";
+
43 }
+
44 std::cout << "\n";
45 }
+
46}
@@ -329,28 +329,28 @@ template<size_t n> -
90 {
-
91 if (col >= n) {
-
92 printSolution<n>(board);
-
93 return;
-
94 }
-
95
-
96 // Consider this column and try placing
-
97 // this queen in all rows one by one
-
98 for (int i = 0; i < n; i++) {
-
99 // Check if queen can be placed
-
100 // on board[i][col]
-
101 if (isSafe<n>(board, i, col)) {
-
102 // Place this queen in matrix
-
103 board[i][col] = 1;
-
104
-
105 // Recursive to place rest of the queens
-
106 solveNQ<n>(board, col + 1);
-
107
-
108 board[i][col] = 0; // backtrack
-
109 }
-
110 }
+
91 {
+
92 if (col >= n) {
+
93 printSolution<n>(board);
+
94 return;
+
95 }
+
96
+
97 // Consider this column and try placing
+
98 // this queen in all rows one by one
+
99 for (int i = 0; i < n; i++) {
+
100 // Check if queen can be placed
+
101 // on board[i][col]
+
102 if (isSafe<n>(board, i, col)) {
+
103 // Place this queen in matrix
+
104 board[i][col] = 1;
+
105
+
106 // Recursive to place rest of the queens
+
107 solveNQ<n>(board, col + 1);
+
108
+
109 board[i][col] = 0; // backtrack
+
110 }
111 }
+
112}
Here is the call graph for this function:
diff --git a/d5/d8e/sudoku__solve_8cpp__incl.map b/d5/d8e/sudoku__solve_8cpp__incl.map index 94345fea3..82cb9e0f0 100644 --- a/d5/d8e/sudoku__solve_8cpp__incl.map +++ b/d5/d8e/sudoku__solve_8cpp__incl.map @@ -1,5 +1,5 @@ - - - + + + diff --git a/d5/d8e/sudoku__solve_8cpp__incl.md5 b/d5/d8e/sudoku__solve_8cpp__incl.md5 index 84b11c5b8..0645ff2da 100644 --- a/d5/d8e/sudoku__solve_8cpp__incl.md5 +++ b/d5/d8e/sudoku__solve_8cpp__incl.md5 @@ -1 +1 @@ -e03cf02b097829558144c50ead56455b \ No newline at end of file +7b9b6fa42b07e9f76ca36f912cb7dd7b \ No newline at end of file diff --git a/d5/d8e/sudoku__solve_8cpp__incl.svg b/d5/d8e/sudoku__solve_8cpp__incl.svg index 4f5255198..9bcfe2003 100644 --- a/d5/d8e/sudoku__solve_8cpp__incl.svg +++ b/d5/d8e/sudoku__solve_8cpp__incl.svg @@ -4,18 +4,18 @@ - + backtracking/sudoku_solve.cpp - + Node1 - -backtracking/sudoku -_solve.cpp + +backtracking/sudoku +_solve.cpp @@ -23,31 +23,31 @@ Node2 - -iostream + +array Node1->Node2 - - + + Node3 - -array + +iostream Node1->Node3 - - + + diff --git a/d6/d7b/sudoku__solve_8cpp.html b/d6/d7b/sudoku__solve_8cpp.html index 90ae62ed8..85dfe4b42 100644 --- a/d6/d7b/sudoku__solve_8cpp.html +++ b/d6/d7b/sudoku__solve_8cpp.html @@ -99,33 +99,40 @@ $(document).ready(function(){initNavTree('d6/d7b/sudoku__solve_8cpp.html','../..

Sudoku Solver algorithm. More...

-
#include <iostream>
-#include <array>
+
#include <array>
+#include <iostream>
Include dependency graph for sudoku_solve.cpp:
-
+
- + + + +

Namespaces

namespace  backtracking
 Backtracking algorithms.
 for std::vector
 
namespace  sudoku_solver
 Functions for the Sudoku Solver implementation.
 
- - - - - - - - - + + + + + + + + + + + + +

Functions

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, const std::array< std::array< int, V >, V > &starting_mat, int n)
 
template<size_t V>
bool backtracking::solveSudoku (std::array< std::array< int, V >, V > &mat, const std::array< std::array< int, V >, V > &starting_mat, int i, int j)
 
template<size_t V>
bool backtracking::sudoku_solver::isPossible (const std::array< std::array< int, V >, V > &mat, int i, int j, int no, int n)
 Check if it's possible to place a number (no parameter) More...
 
template<size_t V>
void backtracking::sudoku_solver::printMat (const std::array< std::array< int, V >, V > &mat, const std::array< std::array< int, V >, V > &starting_mat, int n)
 Utility function to print the matrix. More...
 
template<size_t V>
bool backtracking::sudoku_solver::solveSudoku (std::array< std::array< int, V >, V > &mat, const std::array< std::array< int, V >, V > &starting_mat, int i, int j)
 Main function to implement the Sudoku algorithm. More...
 
int main ()
 Main function. More...
 

Detailed Description

@@ -135,6 +142,105 @@ Functions
David Leal

Function Documentation

+ +

◆ isPossible()

+ +
+
+
+template<size_t V>
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
bool backtracking::sudoku_solver::isPossible (const std::array< std::array< int, V >, V > & mat,
int i,
int j,
int no,
int n 
)
+
+ +

Check if it's possible to place a number (no parameter)

+
Template Parameters
+ + +
Vnumber of vertices in the array
+
+
+
Parameters
+ + + + + + +
matmatrix where numbers are saved
icurrent index in rows
jcurrent index in columns
nonumber to be added in matrix
nnumber of times loop will run
+
+
+
Returns
true if 'mat' is different from 'no'
+
+false if 'mat' equals to 'no'
+

no shouldn't be present in either row i or column j

+

no shouldn't be present in the 3*3 subgrid

+
45 {
+
46 /// `no` shouldn't be present in either row i or column j
+
47 for (int x = 0; x < n; x++) {
+
48 if (mat[x][j] == no || mat[i][x] == no) {
+
49 return false;
+
50 }
+
51 }
+
52
+
53 /// `no` shouldn't be present in the 3*3 subgrid
+
54 int sx = (i / 3) * 3;
+
55 int sy = (j / 3) * 3;
+
56
+
57 for (int x = sx; x < sx + 3; x++) {
+
58 for (int y = sy; y < sy + 3; y++) {
+
59 if (mat[x][y] == no) {
+
60 return false;
+
61 }
+
62 }
+
63 }
+
64
+
65 return true;
+
66}
+
+Here is the call graph for this function:
+
+
+
+
+ +
+

◆ main()

@@ -150,28 +256,29 @@ Functions
-

Main function

-
137 {
-
138 const int V = 9;
- -
140 std::array <int, V> {5, 3, 0, 0, 7, 0, 0, 0, 0},
-
141 std::array <int, V> {6, 0, 0, 1, 9, 5, 0, 0, 0},
-
142 std::array <int, V> {0, 9, 8, 0, 0, 0, 0, 6, 0},
-
143 std::array <int, V> {8, 0, 0, 0, 6, 0, 0, 0, 3},
-
144 std::array <int, V> {4, 0, 0, 8, 0, 3, 0, 0, 1},
-
145 std::array <int, V> {7, 0, 0, 0, 2, 0, 0, 0, 6},
-
146 std::array <int, V> {0, 6, 0, 0, 0, 0, 2, 8, 0},
-
147 std::array <int, V> {0, 0, 0, 4, 1, 9, 0, 0, 5},
-
148 std::array <int, V> {0, 0, 0, 0, 8, 0, 0, 7, 9}
-
149 };
-
150
-
151 backtracking::printMat<V>(mat, mat, 9);
-
152 std::cout << "Solution " << std::endl;
-
153 std::array <std::array <int, V>, V> starting_mat = mat;
-
154 backtracking::solveSudoku<V>(mat, starting_mat, 0, 0);
-
155
-
156 return 0;
-
157}
+ +

Main function.

+
Returns
0 on exit
+
154 {
+
155 const int V = 9;
+ +
157 std::array<int, V>{5, 3, 0, 0, 7, 0, 0, 0, 0},
+
158 std::array<int, V>{6, 0, 0, 1, 9, 5, 0, 0, 0},
+
159 std::array<int, V>{0, 9, 8, 0, 0, 0, 0, 6, 0},
+
160 std::array<int, V>{8, 0, 0, 0, 6, 0, 0, 0, 3},
+
161 std::array<int, V>{4, 0, 0, 8, 0, 3, 0, 0, 1},
+
162 std::array<int, V>{7, 0, 0, 0, 2, 0, 0, 0, 6},
+
163 std::array<int, V>{0, 6, 0, 0, 0, 0, 2, 8, 0},
+
164 std::array<int, V>{0, 0, 0, 4, 1, 9, 0, 0, 5},
+
165 std::array<int, V>{0, 0, 0, 0, 8, 0, 0, 7, 9}};
+
166
+
167 backtracking::sudoku_solver::printMat<V>(mat, mat, 9);
+
168 std::cout << "Solution " << std::endl;
+
169 std::array<std::array<int, V>, V> starting_mat = mat;
+
170 backtracking::sudoku_solver::solveSudoku<V>(mat, starting_mat, 0, 0);
+
171
+
172 return 0;
+
173}
T endl(T... args)
@@ -182,6 +289,195 @@ Here is the call graph for this function:
+
+
+ +

◆ printMat()

+ +
+
+
+template<size_t V>
+ + + + + + + + + + + + + + + + + + + + + + + + +
void backtracking::sudoku_solver::printMat (const std::array< std::array< int, V >, V > & mat,
const std::array< std::array< int, V >, V > & starting_mat,
int n 
)
+
+ +

Utility function to print the matrix.

+
Template Parameters
+ + +
Vnumber of vertices in array
+
+
+
Parameters
+ + + + +
matmatrix where numbers are saved
starting_matcopy of mat, required by printMat for highlighting the differences
nnumber of times loop will run
+
+
+
Returns
void
+
78 {
+
79 for (int i = 0; i < n; i++) {
+
80 for (int j = 0; j < n; j++) {
+
81 if (starting_mat[i][j] != mat[i][j]) {
+
82 std::cout << "\033[93m" << mat[i][j] << "\033[0m"
+
83 << " ";
+
84 } else {
+
85 std::cout << mat[i][j] << " ";
+
86 }
+
87 if ((j + 1) % 3 == 0) {
+
88 std::cout << '\t';
+
89 }
+
90 }
+
91 if ((i + 1) % 3 == 0) {
+ +
93 }
+ +
95 }
+
96}
+
+Here is the call graph for this function:
+
+
+
+
+ +
+
+ +

◆ solveSudoku()

+ +
+
+
+template<size_t V>
+ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
bool backtracking::sudoku_solver::solveSudoku (std::array< std::array< int, V >, V > & mat,
const std::array< std::array< int, V >, V > & starting_mat,
int i,
int j 
)
+
+ +

Main function to implement the Sudoku algorithm.

+
Template Parameters
+ + +
Vnumber of vertices in array
+
+
+
Parameters
+ + + + + +
matmatrix where numbers are saved
starting_matcopy of mat, required by printMat for highlighting the differences
icurrent index in rows
jcurrent index in columns
+
+
+
Returns
true if 'no' was placed
+
+false if 'no' was not placed
+

Base Case

+

Solved 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 a solution will exist

+

Couldn't find a solution loop will place the next no.

+

Solution couldn't be found for any of the numbers provided

+
112 {
+
113 /// Base Case
+
114 if (i == 9) {
+
115 /// Solved for 9 rows already
+
116 printMat<V>(mat, starting_mat, 9);
+
117 return true;
+
118 }
+
119
+
120 /// Crossed the last Cell in the row
+
121 if (j == 9) {
+
122 return solveSudoku<V>(mat, starting_mat, i + 1, 0);
+
123 }
+
124
+
125 /// Blue Cell - Skip
+
126 if (mat[i][j] != 0) {
+
127 return solveSudoku<V>(mat, starting_mat, i, j + 1);
+
128 }
+
129 /// White Cell
+
130 /// Try to place every possible no
+
131 for (int no = 1; no <= 9; no++) {
+
132 if (isPossible<V>(mat, i, j, no, 9)) {
+
133 /// Place the 'no' - assuming a solution will exist
+
134 mat[i][j] = no;
+
135 bool solution_found = solveSudoku<V>(mat, starting_mat, i, j + 1);
+
136 if (solution_found) {
+
137 return true;
+
138 }
+
139 /// Couldn't find a solution
+
140 /// loop will place the next `no`.
+
141 }
+
142 }
+
143 /// Solution couldn't be found for any of the numbers provided
+
144 mat[i][j] = 0;
+
145 return false;
+
146}
+
+Here is the call graph for this function:
+
+
+
+
+
diff --git a/d6/d7b/sudoku__solve_8cpp.js b/d6/d7b/sudoku__solve_8cpp.js index 4bff529c7..5666f65d4 100644 --- a/d6/d7b/sudoku__solve_8cpp.js +++ b/d6/d7b/sudoku__solve_8cpp.js @@ -1,7 +1,7 @@ var sudoku__solve_8cpp = [ - [ "isPossible", "d6/d7b/sudoku__solve_8cpp.html#a80af16e57cfb6aaab2bf1da4c4db3308", null ], + [ "isPossible", "d6/d7b/sudoku__solve_8cpp.html#a07dc6acffd0500de9bdbf16b3ade94b0", null ], [ "main", "d6/d7b/sudoku__solve_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ], - [ "printMat", "d6/d7b/sudoku__solve_8cpp.html#ae1a76e21cb3934368d01cea7672d3906", null ], - [ "solveSudoku", "d6/d7b/sudoku__solve_8cpp.html#a2b98ee79cdbc02ffd7b1f786f9696892", null ] + [ "printMat", "d6/d7b/sudoku__solve_8cpp.html#ab040a12d7684cd85fb3684f4211ea5ac", null ], + [ "solveSudoku", "d6/d7b/sudoku__solve_8cpp.html#ac911c8bca8556206ff64461b2424866b", null ] ]; \ No newline at end of file diff --git a/d6/d7b/sudoku__solve_8cpp_a07dc6acffd0500de9bdbf16b3ade94b0_cgraph.map b/d6/d7b/sudoku__solve_8cpp_a07dc6acffd0500de9bdbf16b3ade94b0_cgraph.map new file mode 100644 index 000000000..bc9e39703 --- /dev/null +++ b/d6/d7b/sudoku__solve_8cpp_a07dc6acffd0500de9bdbf16b3ade94b0_cgraph.map @@ -0,0 +1,3 @@ + + + diff --git a/d6/d7b/sudoku__solve_8cpp_a07dc6acffd0500de9bdbf16b3ade94b0_cgraph.md5 b/d6/d7b/sudoku__solve_8cpp_a07dc6acffd0500de9bdbf16b3ade94b0_cgraph.md5 new file mode 100644 index 000000000..68a00426d --- /dev/null +++ b/d6/d7b/sudoku__solve_8cpp_a07dc6acffd0500de9bdbf16b3ade94b0_cgraph.md5 @@ -0,0 +1 @@ +588777246f1bc4d0956090f200f69d87 \ No newline at end of file diff --git a/d6/d7b/sudoku__solve_8cpp_a07dc6acffd0500de9bdbf16b3ade94b0_cgraph.svg b/d6/d7b/sudoku__solve_8cpp_a07dc6acffd0500de9bdbf16b3ade94b0_cgraph.svg new file mode 100644 index 000000000..d7bd8e007 --- /dev/null +++ b/d6/d7b/sudoku__solve_8cpp_a07dc6acffd0500de9bdbf16b3ade94b0_cgraph.svg @@ -0,0 +1,29 @@ + + + + + + +backtracking::sudoku_solver::isPossible + + + +Node1 + + +backtracking::sudoku +_solver::isPossible + + + + + +Node1->Node1 + + + + + diff --git a/d6/d7b/sudoku__solve_8cpp_ab040a12d7684cd85fb3684f4211ea5ac_cgraph.map b/d6/d7b/sudoku__solve_8cpp_ab040a12d7684cd85fb3684f4211ea5ac_cgraph.map new file mode 100644 index 000000000..5600a9b47 --- /dev/null +++ b/d6/d7b/sudoku__solve_8cpp_ab040a12d7684cd85fb3684f4211ea5ac_cgraph.map @@ -0,0 +1,4 @@ + + + + diff --git a/d6/d7b/sudoku__solve_8cpp_ab040a12d7684cd85fb3684f4211ea5ac_cgraph.md5 b/d6/d7b/sudoku__solve_8cpp_ab040a12d7684cd85fb3684f4211ea5ac_cgraph.md5 new file mode 100644 index 000000000..e9060883e --- /dev/null +++ b/d6/d7b/sudoku__solve_8cpp_ab040a12d7684cd85fb3684f4211ea5ac_cgraph.md5 @@ -0,0 +1 @@ +5f5b66a954df84d108cb4d89a21a2305 \ No newline at end of file diff --git a/d6/d7b/sudoku__solve_8cpp_ab040a12d7684cd85fb3684f4211ea5ac_cgraph.svg b/d6/d7b/sudoku__solve_8cpp_ab040a12d7684cd85fb3684f4211ea5ac_cgraph.svg new file mode 100644 index 000000000..dd45ef2f6 --- /dev/null +++ b/d6/d7b/sudoku__solve_8cpp_ab040a12d7684cd85fb3684f4211ea5ac_cgraph.svg @@ -0,0 +1,44 @@ + + + + + + +backtracking::sudoku_solver::printMat + + + +Node1 + + +backtracking::sudoku +_solver::printMat + + + + + +Node1->Node1 + + + + + +Node2 + + +std::endl + + + + + +Node1->Node2 + + + + + diff --git a/d6/d7b/sudoku__solve_8cpp_ac911c8bca8556206ff64461b2424866b_cgraph.map b/d6/d7b/sudoku__solve_8cpp_ac911c8bca8556206ff64461b2424866b_cgraph.map new file mode 100644 index 000000000..1c194493c --- /dev/null +++ b/d6/d7b/sudoku__solve_8cpp_ac911c8bca8556206ff64461b2424866b_cgraph.map @@ -0,0 +1,3 @@ + + + diff --git a/d6/d7b/sudoku__solve_8cpp_ac911c8bca8556206ff64461b2424866b_cgraph.md5 b/d6/d7b/sudoku__solve_8cpp_ac911c8bca8556206ff64461b2424866b_cgraph.md5 new file mode 100644 index 000000000..3b6d63c2f --- /dev/null +++ b/d6/d7b/sudoku__solve_8cpp_ac911c8bca8556206ff64461b2424866b_cgraph.md5 @@ -0,0 +1 @@ +ba63a170eb3df4de7c60bcaaeceebe02 \ No newline at end of file diff --git a/d6/d7b/sudoku__solve_8cpp_ac911c8bca8556206ff64461b2424866b_cgraph.svg b/d6/d7b/sudoku__solve_8cpp_ac911c8bca8556206ff64461b2424866b_cgraph.svg new file mode 100644 index 000000000..e5c75749d --- /dev/null +++ b/d6/d7b/sudoku__solve_8cpp_ac911c8bca8556206ff64461b2424866b_cgraph.svg @@ -0,0 +1,29 @@ + + + + + + +backtracking::sudoku_solver::solveSudoku + + + +Node1 + + +backtracking::sudoku +_solver::solveSudoku + + + + + +Node1->Node1 + + + + + diff --git a/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map b/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map index 45a2eb539..4c7f49c94 100644 --- a/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map +++ b/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map @@ -1,4 +1,4 @@ - + diff --git a/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 b/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 index b033bdd65..c656c092b 100644 --- a/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 +++ b/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 @@ -1 +1 @@ -85270aea331ae2e33b0af08bba3538a8 \ No newline at end of file +4b2b7a86ed024f51a94096c684cf2192 \ 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 index c52292eff..fe7a8ee3f 100644 --- a/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg +++ b/d6/d7b/sudoku__solve_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg @@ -12,7 +12,7 @@ Node1 - + main diff --git a/d7/d08/namespacegraph__coloring.html b/d7/d08/namespacegraph__coloring.html new file mode 100644 index 000000000..a8d34842e --- /dev/null +++ b/d7/d08/namespacegraph__coloring.html @@ -0,0 +1,111 @@ + + + + + + + +Algorithms_in_C++: graph_coloring Namespace Reference + + + + + + + + + + + + + + + +
+
+ + + + + + +
+
Algorithms_in_C++ 1.0.0 +
+
Set of algorithms implemented in C++.
+
+
+ + + + + + + +
+
+ +
+
+
+ +
+ +
+
+ + +
+ +
+ +
+
graph_coloring Namespace Reference
+
+
+ +

Functions for the Graph Coloring algorithm,. +More...

+

Detailed Description

+

Functions for the Graph Coloring algorithm,.

+
+
+ + + + diff --git a/d7/d24/nqueen__print__all__solutions_8cpp.html b/d7/d24/nqueen__print__all__solutions_8cpp.html index f1fc95d10..0ff08c95e 100644 --- a/d7/d24/nqueen__print__all__solutions_8cpp.html +++ b/d7/d24/nqueen__print__all__solutions_8cpp.html @@ -99,8 +99,8 @@ $(document).ready(function(){initNavTree('d7/d24/nqueen__print__all__solutions_8

Eight Queens puzzle, printing all solutions More...

-
#include <iostream>
-#include <array>
+
#include <array>
+#include <iostream>
Include dependency graph for nqueen_print_all_solutions.cpp:
@@ -111,24 +111,28 @@ Include dependency graph for nqueen_print_all_solutions.cpp:

Namespaces

namespace  backtracking - Backtracking algorithms.
+ for std::vector
  namespace  n_queens_all_solutions - Functions for Eight Queens puzzle with all solutions.
+ Functions for the Eight Queens puzzle with all solutions.
  + + + +

Functions

template<size_t n>
void backtracking::n_queens_all_solutions::PrintSol (const std::array< std::array< int, n >, n > &board)
 Utility function to print matrix. More...
 
template<size_t n>
bool backtracking::n_queens_all_solutions::CanIMove (const std::array< std::array< int, n >, n > &board, int row, int col)
 Check if a queen can be placed on the matrix. More...
 
template<size_t n>
void backtracking::n_queens_all_solutions::NQueenSol (std::array< std::array< int, n >, n > board, int col)
 Main function to solve the N Queens problem. More...
 
int main ()
 Main function. More...
 

Detailed Description

@@ -170,7 +174,9 @@ template<size_t n>
-

Check if a queen can be placed on matrix

Template Parameters
+ +

Check if a queen can be placed on the matrix.

+
Template Parameters
nnumber of matrix size
@@ -190,27 +196,27 @@ template<size_t n>

check in the row

check the first diagonal

check the second diagonal

-
50 {
-
51 /// check in the row
-
52 for (int i = 0; i < col; i++) {
-
53 if (board[row][i] == 1) {
-
54 return false;
-
55 }
-
56 }
-
57 /// check the first diagonal
-
58 for (int i = row, j = col; i >= 0 && j >= 0; i--, j--) {
-
59 if (board[i][j] == 1) {
-
60 return false;
-
61 }
-
62 }
-
63 /// check the second diagonal
-
64 for (int i = row, j = col; i <= n - 1 && j >= 0; i++, j--) {
-
65 if (board[i][j] == 1) {
-
66 return false;
-
67 }
-
68 }
-
69 return true;
-
70}
+
52 {
+
53 /// check in the row
+
54 for (int i = 0; i < col; i++) {
+
55 if (board[row][i] == 1) {
+
56 return false;
+
57 }
+
58 }
+
59 /// check the first diagonal
+
60 for (int i = row, j = col; i >= 0 && j >= 0; i--, j--) {
+
61 if (board[i][j] == 1) {
+
62 return false;
+
63 }
+
64 }
+
65 /// check the second diagonal
+
66 for (int i = row, j = col; i <= n - 1 && j >= 0; i++, j--) {
+
67 if (board[i][j] == 1) {
+
68 return false;
+
69 }
+
70 }
+
71 return true;
+
72}
@@ -229,15 +235,17 @@ template<size_t n>
-

Main function

-
98 {
-
99 const int n = 4;
- -
101
- -
103}
+ +

Main function.

+
Returns
0 on exit
+
101 {
+
102 const int n = 4;
+ +
104
+ +
106}
-
void NQueenSol(std::array< std::array< int, n >, n > board, int col)
Definition: nqueen_print_all_solutions.cpp:79
+
void NQueenSol(std::array< std::array< int, n >, n > board, int col)
Main function to solve the N Queens problem.
Definition: nqueen_print_all_solutions.cpp:81
@@ -268,7 +276,9 @@ template<size_t n>
-

Solve n queens problem

Template Parameters
+ +

Main function to solve the N Queens problem.

+
Template Parameters
nnumber of matrix size
@@ -281,19 +291,19 @@ template<size_t n>
-
79 {
-
80 if (col >= n) {
-
81 PrintSol(board);
-
82 return;
-
83 }
-
84 for (int i = 0; i < n; i++) {
-
85 if (CanIMove(board, i, col)) {
-
86 board[i][col] = 1;
-
87 NQueenSol(board, col + 1);
-
88 board[i][col] = 0;
-
89 }
-
90 }
-
91}
+
81 {
+
82 if (col >= n) {
+
83 PrintSol(board);
+
84 return;
+
85 }
+
86 for (int i = 0; i < n; i++) {
+
87 if (CanIMove(board, i, col)) {
+
88 board[i][col] = 1;
+
89 NQueenSol(board, col + 1);
+
90 board[i][col] = 0;
+
91 }
+
92 }
+
93}
void PrintSol(const std::array< std::array< int, n >, n > &board)
Definition: n_queens_all_solution_optimised.cpp:30
void NQueenSol(std::array< std::array< int, n >, n > board, int col)
Definition: n_queens_all_solution_optimised.cpp:89
bool CanIMove(const std::array< std::array< int, n >, n > &board, int row, int col)
Definition: n_queens_all_solution_optimised.cpp:59
@@ -317,7 +327,9 @@ template<size_t n>
-

Utility function to print matrix

Template Parameters
+ +

Utility function to print matrix.

+
Template Parameters
nnumber of matrix size
@@ -329,15 +341,15 @@ template<size_t n>
-
30 {
-
31 for (int i = 0; i < n; i++) {
-
32 for (int j = 0; j < n; j++) {
-
33 std::cout << board[i][j] << " ";
-
34 }
- -
36 }
- -
38}
+
31 {
+
32 for (int i = 0; i < n; i++) {
+
33 for (int j = 0; j < n; j++) {
+
34 std::cout << board[i][j] << " ";
+
35 }
+ +
37 }
+ +
39}
T endl(T... args)
diff --git a/d7/d24/nqueen__print__all__solutions_8cpp_aebd5e11fab6dab282efccfb61beb0bd9_cgraph.map b/d7/d24/nqueen__print__all__solutions_8cpp_aebd5e11fab6dab282efccfb61beb0bd9_cgraph.map index 62b2c2502..5c32a2305 100644 --- a/d7/d24/nqueen__print__all__solutions_8cpp_aebd5e11fab6dab282efccfb61beb0bd9_cgraph.map +++ b/d7/d24/nqueen__print__all__solutions_8cpp_aebd5e11fab6dab282efccfb61beb0bd9_cgraph.map @@ -1,4 +1,4 @@ - + diff --git a/d7/d24/nqueen__print__all__solutions_8cpp_aebd5e11fab6dab282efccfb61beb0bd9_cgraph.md5 b/d7/d24/nqueen__print__all__solutions_8cpp_aebd5e11fab6dab282efccfb61beb0bd9_cgraph.md5 index 14e9331b5..34c1fc9de 100644 --- a/d7/d24/nqueen__print__all__solutions_8cpp_aebd5e11fab6dab282efccfb61beb0bd9_cgraph.md5 +++ b/d7/d24/nqueen__print__all__solutions_8cpp_aebd5e11fab6dab282efccfb61beb0bd9_cgraph.md5 @@ -1 +1 @@ -e77ded5f2616483556faa79bf703373b \ No newline at end of file +d7d2b0f201a18528bcbc8552dcb2f415 \ No newline at end of file diff --git a/d7/d24/nqueen__print__all__solutions_8cpp_aebd5e11fab6dab282efccfb61beb0bd9_cgraph.svg b/d7/d24/nqueen__print__all__solutions_8cpp_aebd5e11fab6dab282efccfb61beb0bd9_cgraph.svg index 251d4e4d0..443fd5a7f 100644 --- a/d7/d24/nqueen__print__all__solutions_8cpp_aebd5e11fab6dab282efccfb61beb0bd9_cgraph.svg +++ b/d7/d24/nqueen__print__all__solutions_8cpp_aebd5e11fab6dab282efccfb61beb0bd9_cgraph.svg @@ -12,7 +12,7 @@ Node1 - + backtracking::n_queens _all_solutions::PrintSol diff --git a/d8/d9f/namespacesudoku__solver.html b/d8/d9f/namespacesudoku__solver.html new file mode 100644 index 000000000..824ce973e --- /dev/null +++ b/d8/d9f/namespacesudoku__solver.html @@ -0,0 +1,111 @@ + + + + + + + +Algorithms_in_C++: sudoku_solver Namespace Reference + + + + + + + + + + + + + + + +
+
+ + + + + + +
+
Algorithms_in_C++ 1.0.0 +
+
Set of algorithms implemented in C++.
+
+
+ + + + + + + +
+
+ +
+
+
+ +
+ +
+
+ + +
+ +
+ +
+
sudoku_solver Namespace Reference
+
+
+ +

Functions for the Sudoku Solver implementation. +More...

+

Detailed Description

+

Functions for the Sudoku Solver implementation.

+
+
+ + + + diff --git a/da/d01/rat__maze_8cpp__incl.map b/da/d01/rat__maze_8cpp__incl.map index 08205c88a..5a53a6bc9 100644 --- a/da/d01/rat__maze_8cpp__incl.map +++ b/da/d01/rat__maze_8cpp__incl.map @@ -1,6 +1,6 @@ - + - - + + diff --git a/da/d01/rat__maze_8cpp__incl.md5 b/da/d01/rat__maze_8cpp__incl.md5 index 043857edc..a956d6163 100644 --- a/da/d01/rat__maze_8cpp__incl.md5 +++ b/da/d01/rat__maze_8cpp__incl.md5 @@ -1 +1 @@ -b31531092bd33ba642c32a05e7278e42 \ No newline at end of file +b8969910e602719001158e9ec94d2732 \ No newline at end of file diff --git a/da/d01/rat__maze_8cpp__incl.svg b/da/d01/rat__maze_8cpp__incl.svg index aa686313b..5e910ed85 100644 --- a/da/d01/rat__maze_8cpp__incl.svg +++ b/da/d01/rat__maze_8cpp__incl.svg @@ -13,8 +13,8 @@ Node1 - -backtracking/rat_maze.cpp + +backtracking/rat_maze.cpp @@ -30,38 +30,38 @@ Node1->Node2 - - + + Node3 - -iostream + +cassert Node1->Node3 - - + + Node4 - -cassert + +iostream Node1->Node4 - - + +
diff --git a/da/dac/n__queens__all__solution__optimised_8cpp.html b/da/dac/n__queens__all__solution__optimised_8cpp.html index 8c7ed64ca..62ac53579 100644 --- a/da/dac/n__queens__all__solution__optimised_8cpp.html +++ b/da/dac/n__queens__all__solution__optimised_8cpp.html @@ -111,7 +111,7 @@ Include dependency graph for n_queens_all_solution_optimised.cpp:

Namespaces

namespace  backtracking - Backtracking algorithms.
+ for std::vector
  namespace  n_queens_optimized  Functions for Eight Queens puzzle optimized.
@@ -244,7 +244,7 @@ Here is the call graph for this function:
112
113 if (n % 2 == 0) {
-
114 for (int i = 0; i <= n / 2 - 1; i++) { // 😎
+
114 for (int i = 0; i <= n / 2 - 1; i++) {
115 if (backtracking::n_queens_optimized::CanIMove(board, i, 0)) {
116 board[i][0] = 1;
@@ -252,7 +252,7 @@ Here is the call graph for this function:
119 }
120 }
121 } else {
-
122 for (int i = 0; i <= n / 2; i++) { // 😏
+
122 for (int i = 0; i <= n / 2; i++) {
123 if (backtracking::n_queens_optimized::CanIMove(board, i, 0)) {
124 board[i][0] = 1;
diff --git a/db/dc0/namespacebacktracking.html b/db/dc0/namespacebacktracking.html index 7017f2d61..5bf99f785 100644 --- a/db/dc0/namespacebacktracking.html +++ b/db/dc0/namespacebacktracking.html @@ -96,344 +96,37 @@ $(document).ready(function(){initNavTree('db/dc0/namespacebacktracking.html','..
-

Backtracking algorithms. +

for std::vector More...

- - - - - - - - - - - - - - - + - - - - - - - - -

Functions

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)
 Check which is the maximum/minimum number in the array. More...
 
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, const std::array< std::array< int, V >, V > &starting_mat, int n)
 
template<size_t V>
bool solveSudoku (std::array< std::array< int, V >, V > &mat, const std::array< std::array< int, V >, V > &starting_mat, int i, int j)
 

Detailed Description

-

Backtracking algorithms.

-

for std::vector

+

for std::vector

+

Backtracking algorithms.

+

for IO operations

+

for std::array for IO operations

+

Backtracking algorithms

+

for std::array

+

Backtracking algorithms

for std::count for assert for IO operations for std::list for std::accumulate

Backtracking algorithms

+

for std::max, std::min for std::array for log2

+

Backtracking algorithms

+

for std::array for assert

+

Backtracking algorithms

for assert for IO operations for unordered_map

Backtracking algorithms

for assert for IO operations

+

Backtracking algorithms

+

for assert

Backtracking algorithms

Function Documentation

- -

◆ 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
- - -
Vnumber of vertices in the graph
-
-
-
Parameters
- - - - - -
graphmatrix of graph nonnectivity
mnumber of colors
[in,out]colordescription // used in,out to notify in documentation that this parameter gets modified by the function
vindex of graph vertex to check
-
-
-
73 {
-
74 // base case:
-
75 // If all vertices are assigned a color then return true
-
76 if (v == V) {
-
77 backtracking::printSolution<V>(color);
-
78 return;
-
79 }
-
80
-
81 // Consider this vertex v and try different colors
-
82 for (int c = 1; c <= m; c++) {
-
83 // Check if assignment of color c to v is fine
-
84 if (backtracking::isSafe<V>(v, graph, color, c)) {
-
85 color[v] = c;
-
86
-
87 // recur to assign colors to rest of the vertices
-
88 backtracking::graphColoring<V>(graph, m, color, v + 1);
-
89
-
90 // If assigning color c doesn't lead to a solution then remove it
-
91 color[v] = 0;
-
92 }
-
93 }
-
94}
-
Graph Algorithms.
-
-
-
- -

◆ 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 number 'no'

Template Parameters
- - -
Vnumber of vertices in the array
-
-
-
Parameters
- - - - - - -
matmatrix where numbers are saved
icurrent index in rows
jcurrent index in columns
nonumber to be added in matrix
nnumber of times loop will run
-
-
-
Returns
true if 'mat' is different from 'no'
-
-false if 'mat' equals to 'no'
-

'no' shouldn't be present in either row i or column j

-

'no' shouldn't be present in the 3*3 subgrid

-
36 {
-
37 /// 'no' shouldn't be present in either row i or column j
-
38 for (int x = 0; x < n; x++) {
-
39 if (mat[x][j] == no || mat[i][x] == no) {
-
40 return false;
-
41 }
-
42 }
-
43
-
44 /// 'no' shouldn't be present in the 3*3 subgrid
-
45 int sx = (i / 3) * 3;
-
46 int sy = (j / 3) * 3;
-
47
-
48 for (int x = sx; x < sx + 3; x++) {
-
49 for (int y = sy; y < sy + 3; y++) {
-
50 if (mat[x][y] == no) {
-
51 return false;
-
52 }
-
53 }
-
54 }
-
55
-
56 return true;
-
57 }
-
-
-
- -

◆ 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
- - -
Vnumber of vertices in the graph
-
-
-
Parameters
- - - - - -
vindex of graph vertex to check
graphmatrix of graph nonnectivity
colorvector of colors assigned to the graph nodes/vertices
ccolor 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
-
54 {
-
55 for (int i = 0; i < V; i++) {
-
56 if (graph[v][i] && c == color[i]) {
-
57 return false;
-
58 }
-
59 }
-
60 return true;
-
61}
-
-
-
- -

◆ 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
- - -
Vnumber of vertices in array
-
-
-
Parameters
- - - - -
xcurrent index in rows
ycurrent index in columns
solmatrix where numbers are saved
-
-
-
Returns
true if ....
-
-false if ....
-
33 {
-
34 return (x < V && x >= 0 && y < V && y >= 0 && sol[x][y] == -1);
-
35 }
-
-
-

◆ minimax()

@@ -479,7 +172,9 @@ template<size_t T>
-

Check which number is the maximum/minimum in the array

Parameters
+ +

Check which is the maximum/minimum number in the array.

+
Parameters
@@ -489,20 +184,20 @@ template<size_t T>
depthcurrent depth in game tree
node_indexcurrent index in array
-
Returns
maximum or minimum number
-
39 {
-
40 if (depth == height) {
-
41 return scores[node_index];
-
42 }
-
43
-
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);
-
46
-
47 return is_max ? std::max(v1, v2) : std::min(v1, v2);
-
48}
+
Returns
the maximum or minimum number
+
40 {
+
41 if (depth == height) {
+
42 return scores[node_index];
+
43 }
+
44
+
45 int v1 = minimax(depth + 1, node_index * 2, !is_max, scores, height);
+
46 int v2 = minimax(depth + 1, node_index * 2 + 1, !is_max, scores, height);
+
47
+
48 return is_max ? std::max(v1, v2) : std::min(v1, v2);
+
49}
int height(node *root)
Definition: avltree.cpp:31
T max(T... args)
-
int minimax(int depth, int node_index, bool is_max, const std::array< int, T > &scores, double height)
Definition: minimax.cpp:38
+
int minimax(int depth, int node_index, bool is_max, const std::array< int, T > &scores, double height)
Check which is the maximum/minimum number in the array.
Definition: minimax.cpp:39
STL namespace.
Here is the call graph for this function:
@@ -511,336 +206,6 @@ Here is the call graph for this function:
- - - -

◆ printMat()

- -
-
-
-template<size_t V>
- - - - - - - - - - - - - - - - - - - - - - - - -
void backtracking::printMat (const std::array< std::array< int, V >, V > & mat,
const std::array< std::array< int, V >, V > & starting_mat,
int n 
)
-
-

Utility function to print matrix

Template Parameters
- - -
Vnumber of vertices in array
-
-
-
Parameters
- - - - -
matmatrix where numbers are saved
starting_matcopy of mat, required by printMat for highlighting the differences
nnumber of times loop will run
-
-
-
Returns
void
-
67 {
-
68 for (int i = 0; i < n; i++) {
-
69 for (int j = 0; j < n; j++) {
-
70 if (starting_mat[i][j] != mat[i][j]) {
-
71 std::cout << "\033[93m" << mat[i][j] << "\033[0m" << " ";
-
72 } else {
-
73 std::cout << mat[i][j] << " ";
-
74 }
-
75 if ((j + 1) % 3 == 0) {
-
76 std::cout << '\t';
-
77 }
-
78 }
-
79 if ((i + 1) % 3 == 0) {
- -
81 }
- -
83 }
-
84 }
- -
T endl(T... args)
-
-Here is the call graph for this function:
-
-
-
-
- -
-
- -

◆ printSolution()

- -
-
-
-template<size_t V>
- - - - - - - - -
void backtracking::printSolution (const std::array< int, V > & color)
-
-

A utility function to print solution

Template Parameters
- - -
Vnumber of vertices in the graph
-
-
-
Parameters
- - -
colorarray of colors assigned to the nodes
-
-
-
34 {
-
35 std::cout << "Following are the assigned colors" << std::endl;
-
36 for (auto& col : color) {
-
37 std::cout << col;
-
38 }
- -
40}
-
-Here is the call graph for this function:
-
-
-
-
- -
-
- -

◆ 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
- - -
Vnumber of vertices in array
-
-
-
Parameters
- - - - - - - -
xcurrent index in rows
ycurrent index in columns
movmovement to be done
solmatrix where numbers are saved
xmovnext move of knight (x coordinate)
ymovnext move of knight (y coordinate)
-
-
-
Returns
true if solution exists
-
-false if solution does not exist
-
51 {
-
52 int k, xnext, ynext;
-
53
-
54 if (mov == V * V) {
-
55 return true;
-
56 }
-
57
-
58 for (k = 0; k < V; k++) {
-
59 xnext = x + xmov[k];
-
60 ynext = y + ymov[k];
-
61
-
62 if (backtracking::issafe<V>(xnext, ynext, sol)) {
-
63 sol[xnext][ynext] = mov;
-
64
-
65 if (backtracking::solve<V>(xnext, ynext, mov + 1, sol, xmov, ymov) == true) {
-
66 return true;
-
67 }
-
68 else {
-
69 sol[xnext][ynext] = -1;
-
70 }
-
71 }
-
72 }
-
73 return false;
-
74 }
-
void mov(tower *From, tower *To)
Definition: tower_of_hanoi.cpp:39
-
-Here is the call graph for this function:
-
-
-
-
- -
-
- -

◆ solveSudoku()

- -
-
-
-template<size_t V>
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
bool backtracking::solveSudoku (std::array< std::array< int, V >, V > & mat,
const std::array< std::array< int, V >, V > & starting_mat,
int i,
int j 
)
-
-

Sudoku algorithm

Template Parameters
- - -
Vnumber of vertices in array
-
-
-
Parameters
- - - - - -
matmatrix where numbers are saved
starting_matcopy of mat, required by printMat for highlighting the differences
icurrent index in rows
jcurrent index in columns
-
-
-
Returns
true if 'no' was placed
-
-false if 'no' was not placed
-

Base Case

-

Solved 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 a solution will exist

-

Couldn't find a solution loop will place the next no.

-

Solution couldn't be found for any of the numbers provided

-
97 {
-
98 /// Base Case
-
99 if (i == 9) {
-
100 /// Solved for 9 rows already
-
101 backtracking::printMat<V>(mat, starting_mat, 9);
-
102 return true;
-
103 }
-
104
-
105 /// Crossed the last Cell in the row
-
106 if (j == 9) {
-
107 return backtracking::solveSudoku<V>(mat, starting_mat, i + 1, 0);
-
108 }
-
109
-
110 /// Blue Cell - Skip
-
111 if (mat[i][j] != 0) {
-
112 return backtracking::solveSudoku<V>(mat, starting_mat, i, j + 1);
-
113 }
-
114 /// White Cell
-
115 /// Try to place every possible no
-
116 for (int no = 1; no <= 9; no++) {
-
117 if (backtracking::isPossible<V>(mat, i, j, no, 9)) {
-
118 /// Place the 'no' - assuming a solution will exist
-
119 mat[i][j] = no;
-
120 bool solution_found = backtracking::solveSudoku<V>(mat, starting_mat, i, j + 1);
-
121 if (solution_found) {
-
122 return true;
-
123 }
-
124 /// Couldn't find a solution
-
125 /// loop will place the next no.
-
126 }
-
127 }
-
128 /// Solution couldn't be found for any of the numbers provided
-
129 mat[i][j] = 0;
-
130 return false;
-
131 }
-
diff --git a/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.map b/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.map index f7eff753d..77e5c7eb5 100644 --- a/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.map +++ b/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.map @@ -1,5 +1,5 @@ - + diff --git a/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.md5 b/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.md5 index 7be097c1e..692cbb3cd 100644 --- a/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.md5 +++ b/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.md5 @@ -1 +1 @@ -64ee8950ed22a67c715fd9a460d662f0 \ No newline at end of file +1d910c5a5ea702bdd1d2160747d7f1e5 \ No newline at end of file diff --git a/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.svg b/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.svg index 4d0a1af6b..e99ad7165 100644 --- a/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.svg +++ b/db/dc0/namespacebacktracking_a78540bcb5ef3473b2348cbc34748ec50_cgraph.svg @@ -12,7 +12,7 @@ Node1 - + backtracking::minimax diff --git a/db/dc0/namespacebacktracking_a8cfb2d08840766ac4402196079308a36_cgraph.map b/db/dc0/namespacebacktracking_a8cfb2d08840766ac4402196079308a36_cgraph.map deleted file mode 100644 index c32e0ae0b..000000000 --- a/db/dc0/namespacebacktracking_a8cfb2d08840766ac4402196079308a36_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/db/dc0/namespacebacktracking_a8cfb2d08840766ac4402196079308a36_cgraph.md5 b/db/dc0/namespacebacktracking_a8cfb2d08840766ac4402196079308a36_cgraph.md5 deleted file mode 100644 index b766df5f9..000000000 --- a/db/dc0/namespacebacktracking_a8cfb2d08840766ac4402196079308a36_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -76aa189ff29434eb83d299f7fe02693a \ No newline at end of file diff --git a/db/dc0/namespacebacktracking_a8cfb2d08840766ac4402196079308a36_cgraph.svg b/db/dc0/namespacebacktracking_a8cfb2d08840766ac4402196079308a36_cgraph.svg deleted file mode 100644 index 77f386585..000000000 --- a/db/dc0/namespacebacktracking_a8cfb2d08840766ac4402196079308a36_cgraph.svg +++ /dev/null @@ -1,37 +0,0 @@ - - - - - - -backtracking::printSolution - - - -Node1 - - -backtracking::printSolution - - - - - -Node2 - - -std::endl - - - - - -Node1->Node2 - - - - - diff --git a/db/dc0/namespacebacktracking_a932e38e8912742cedf7b5a837168e03a_cgraph.map b/db/dc0/namespacebacktracking_a932e38e8912742cedf7b5a837168e03a_cgraph.map deleted file mode 100644 index 438328af8..000000000 --- a/db/dc0/namespacebacktracking_a932e38e8912742cedf7b5a837168e03a_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/db/dc0/namespacebacktracking_a932e38e8912742cedf7b5a837168e03a_cgraph.md5 b/db/dc0/namespacebacktracking_a932e38e8912742cedf7b5a837168e03a_cgraph.md5 deleted file mode 100644 index 8f191fc24..000000000 --- a/db/dc0/namespacebacktracking_a932e38e8912742cedf7b5a837168e03a_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -a7ca739f6b1309a5ce6b2d8f07809d6e \ No newline at end of file diff --git a/db/dc0/namespacebacktracking_a932e38e8912742cedf7b5a837168e03a_cgraph.svg b/db/dc0/namespacebacktracking_a932e38e8912742cedf7b5a837168e03a_cgraph.svg deleted file mode 100644 index bda817d6b..000000000 --- a/db/dc0/namespacebacktracking_a932e38e8912742cedf7b5a837168e03a_cgraph.svg +++ /dev/null @@ -1,37 +0,0 @@ - - - - - - -backtracking::solve - - - -Node1 - - -backtracking::solve - - - - - -Node2 - - -mov - - - - - -Node1->Node2 - - - - - diff --git a/db/dc0/namespacebacktracking_ae1a76e21cb3934368d01cea7672d3906_cgraph.map b/db/dc0/namespacebacktracking_ae1a76e21cb3934368d01cea7672d3906_cgraph.map deleted file mode 100644 index ed5ce77e5..000000000 --- a/db/dc0/namespacebacktracking_ae1a76e21cb3934368d01cea7672d3906_cgraph.map +++ /dev/null @@ -1,4 +0,0 @@ - - - - diff --git a/db/dc0/namespacebacktracking_ae1a76e21cb3934368d01cea7672d3906_cgraph.md5 b/db/dc0/namespacebacktracking_ae1a76e21cb3934368d01cea7672d3906_cgraph.md5 deleted file mode 100644 index 59b98d88d..000000000 --- a/db/dc0/namespacebacktracking_ae1a76e21cb3934368d01cea7672d3906_cgraph.md5 +++ /dev/null @@ -1 +0,0 @@ -024c41812a26be6509cf4d5996b5e6fc \ No newline at end of file diff --git a/db/dc0/namespacebacktracking_ae1a76e21cb3934368d01cea7672d3906_cgraph.svg b/db/dc0/namespacebacktracking_ae1a76e21cb3934368d01cea7672d3906_cgraph.svg deleted file mode 100644 index b120ed38d..000000000 --- a/db/dc0/namespacebacktracking_ae1a76e21cb3934368d01cea7672d3906_cgraph.svg +++ /dev/null @@ -1,37 +0,0 @@ - - - - - - -backtracking::printMat - - - -Node1 - - -backtracking::printMat - - - - - -Node2 - - -std::endl - - - - - -Node1->Node2 - - - - - diff --git a/dc/d14/wildcard__matching_8cpp.html b/dc/d14/wildcard__matching_8cpp.html index 3db656397..036b28b83 100644 --- a/dc/d14/wildcard__matching_8cpp.html +++ b/dc/d14/wildcard__matching_8cpp.html @@ -113,7 +113,7 @@ Include dependency graph for wildcard_matching.cpp:

Namespaces

namespace  backtracking - Backtracking algorithms.
+ for std::vector
  namespace  wildcard_matching  Functions for the Wildcard Matching problem.
diff --git a/dc/d5a/rat__maze_8cpp.html b/dc/d5a/rat__maze_8cpp.html index e9a17985d..aa594887e 100644 --- a/dc/d5a/rat__maze_8cpp.html +++ b/dc/d5a/rat__maze_8cpp.html @@ -101,8 +101,8 @@ $(document).ready(function(){initNavTree('dc/d5a/rat__maze_8cpp.html','../../'); solve-a-rat-in-a-maze-c-java-pytho/". More...

#include <array>
-#include <iostream>
#include <cassert>
+#include <iostream>
Include dependency graph for rat_maze.cpp:
@@ -113,7 +113,7 @@ Include dependency graph for rat_maze.cpp:

Namespaces

namespace  backtracking - Backtracking algorithms.
+ for std::vector
  namespace  rat_maze  Functions for <a href="https://www.codesdope.com/blog/article/backtracking-to- @@ -127,7 +127,7 @@ Functions  Solve rat maze problem. More...
  static void test () - Test implementations. More...
+ Self-test implementations. More...
  int main ()  Main function. More...
@@ -160,11 +160,11 @@ solve-a-rat-in-a-maze-c-java-pytho/".

Main function.

Returns
0 on exit
-
110 {
-
111 test(); // run the tests
-
112 return 0;
-
113}
-
static void test()
Test implementations.
Definition: rat_maze.cpp:84
+
112 {
+
113 test(); // run self-test implementations
+
114 return 0;
+
115}
+
static void test()
Self-test implementations.
Definition: rat_maze.cpp:86
Here is the call graph for this function:
@@ -230,40 +230,42 @@ template<size_t size>
-
Returns
0 on end
-
47 {
-
48 if ((currposrow == size - 1) && (currposcol == size - 1)) {
-
49 soln[currposrow][currposcol] = 1;
-
50 for (int i = 0; i < size; ++i) {
-
51 for (int j = 0; j < size; ++j) {
-
52 std::cout << soln[i][j] << " ";
-
53 }
- -
55 }
-
56 return true;
-
57 } else {
-
58 soln[currposrow][currposcol] = 1;
-
59
-
60 // if there exist a solution by moving one step ahead in a column
-
61 if ((currposcol < size - 1) && maze[currposrow][currposcol + 1] == 1 &&
-
62 solveMaze(currposrow, currposcol + 1, maze, soln)) {
-
63 return true;
-
64 }
-
65
-
66 // if there exists a solution by moving one step ahead in a row
-
67 if ((currposrow < size - 1) && maze[currposrow + 1][currposcol] == 1 &&
-
68 solveMaze(currposrow + 1, currposcol, maze, soln)) {
-
69 return true;
-
70 }
-
71
-
72 // the backtracking part
-
73 soln[currposrow][currposcol] = 0;
-
74 return false;
-
75 }
-
76}
+
Returns
true if there exists a solution to move one step ahead in a column or in a row
+
+false for the backtracking part
+
49 {
+
50 if ((currposrow == size - 1) && (currposcol == size - 1)) {
+
51 soln[currposrow][currposcol] = 1;
+
52 for (int i = 0; i < size; ++i) {
+
53 for (int j = 0; j < size; ++j) {
+
54 std::cout << soln[i][j] << " ";
+
55 }
+ +
57 }
+
58 return true;
+
59 } else {
+
60 soln[currposrow][currposcol] = 1;
+
61
+
62 // if there exist a solution by moving one step ahead in a column
+
63 if ((currposcol < size - 1) && maze[currposrow][currposcol + 1] == 1 &&
+
64 solveMaze(currposrow, currposcol + 1, maze, soln)) {
+
65 return true;
+
66 }
+
67
+
68 // if there exists a solution by moving one step ahead in a row
+
69 if ((currposrow < size - 1) && maze[currposrow + 1][currposcol] == 1 &&
+
70 solveMaze(currposrow + 1, currposcol, maze, soln)) {
+
71 return true;
+
72 }
+
73
+
74 // the backtracking part
+
75 soln[currposrow][currposcol] = 0;
+
76 return false;
+
77 }
+
78}
T endl(T... args)
-
bool solveMaze(int currposrow, int currposcol, const std::array< std::array< int, size >, size > &maze, std::array< std::array< int, size >, size > soln)
Solve rat maze problem.
Definition: rat_maze.cpp:45
+
bool solveMaze(int currposrow, int currposcol, const std::array< std::array< int, size >, size > &maze, std::array< std::array< int, size >, size > soln)
Solve rat maze problem.
Definition: rat_maze.cpp:47
Here is the call graph for this function:
@@ -296,31 +298,31 @@ Here is the call graph for this function:
-

Test implementations.

+

Self-test implementations.

Returns
void
Examples
/Users/runner/work/C-Plus-Plus/C-Plus-Plus/numerical_methods/rungekutta.cpp, and /Users/runner/work/C-Plus-Plus/C-Plus-Plus/sorting/wiggle_sort.cpp.
-
84 {
-
85 const int size = 4;
- -
87 std::array<int, size>{1, 0, 1, 0}, std::array<int, size>{1, 0, 1, 1},
-
88 std::array<int, size>{1, 0, 0, 1}, std::array<int, size>{1, 1, 1, 1}};
-
89
- +
86 {
+
87 const int size = 4;
+ +
89 std::array<int, size>{1, 0, 1, 0}, std::array<int, size>{1, 0, 1, 1},
+
90 std::array<int, size>{1, 0, 0, 1}, std::array<int, size>{1, 1, 1, 1}};
91
-
92 // Backtracking: setup matrix solution to zero
-
93 for (int i = 0; i < size; ++i) {
-
94 for (int j = 0; j < size; ++j) {
-
95 soln[i][j] = 0;
-
96 }
-
97 }
-
98
-
99 int currposrow = 0; // Current position in rows
-
100 int currposcol = 0; // Current position in columns
-
101
-
102 assert(backtracking::rat_maze::solveMaze<size>(currposrow, currposcol, maze,
-
103 soln) == 1);
-
104}
+ +
93
+
94 // Backtracking: setup matrix solution to zero
+
95 for (int i = 0; i < size; ++i) {
+
96 for (int j = 0; j < size; ++j) {
+
97 soln[i][j] = 0;
+
98 }
+
99 }
+
100
+
101 int currposrow = 0; // Current position in the rows
+
102 int currposcol = 0; // Current position in the columns
+
103
+
104 assert(backtracking::rat_maze::solveMaze<size>(currposrow, currposcol, maze,
+
105 soln) == 1);
+
106}
diff --git a/dc/d5a/rat__maze_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map b/dc/d5a/rat__maze_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map index a9d00dc2c..f0c2ae736 100644 --- a/dc/d5a/rat__maze_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map +++ b/dc/d5a/rat__maze_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map @@ -1,4 +1,4 @@ - + diff --git a/dc/d5a/rat__maze_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 b/dc/d5a/rat__maze_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 index 6f7a0f700..856458c3d 100644 --- a/dc/d5a/rat__maze_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 +++ b/dc/d5a/rat__maze_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 @@ -1 +1 @@ -e9cb2c320b334c5cfdea47f24a882076 \ No newline at end of file +7ba10ac4483e50558f203ca54a99561b \ No newline at end of file diff --git a/dc/d5a/rat__maze_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg b/dc/d5a/rat__maze_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg index 04529b377..f7af71724 100644 --- a/dc/d5a/rat__maze_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg +++ b/dc/d5a/rat__maze_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg @@ -21,7 +21,7 @@ Node2 - + test diff --git a/dc/dc4/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2numerical_methods_2rungekutta_8cpp-example.html b/dc/dc4/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2numerical_methods_2rungekutta_8cpp-example.html index caae4533a..e3340c1a1 100644 --- a/dc/dc4/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2numerical_methods_2rungekutta_8cpp-example.html +++ b/dc/dc4/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2numerical_methods_2rungekutta_8cpp-example.html @@ -228,11 +228,11 @@ $(document).ready(function(){initNavTree('dc/dc4/_2_users_2runner_2work_2_c-_plu
return 0;
}
-
int main()
Definition: graph_coloring.cpp:100
+
int main()
Main function.
Definition: graph_coloring.cpp:112
int h(int key)
Definition: hash_search.cpp:45
for io operations
Functions for Runge Kutta fourth order method.
-
static void test()
Test implementations.
Definition: rat_maze.cpp:84
+
static void test()
Self-test implementations.
Definition: rat_maze.cpp:86
static double change(double x, double y)
for using the vector container
Definition: rungekutta.cpp:33
double rungeKutta(double init_x, const double &init_y, const double &x, const double &h)
the Runge Kutta method finds the value of integration of a function in the given limits....
Definition: rungekutta.cpp:57
diff --git a/dd/db0/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2sorting_2wiggle_sort_8cpp-example.html b/dd/db0/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2sorting_2wiggle_sort_8cpp-example.html index 5e4ce087a..5e05a753c 100644 --- a/dd/db0/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2sorting_2wiggle_sort_8cpp-example.html +++ b/dd/db0/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2sorting_2wiggle_sort_8cpp-example.html @@ -228,12 +228,12 @@ $(document).ready(function(){initNavTree('dd/db0/_2_users_2runner_2work_2_c-_plu
/** @} */
T endl(T... args)
-
int main()
Definition: graph_coloring.cpp:100
+
int main()
Main function.
Definition: graph_coloring.cpp:112
static void displayElements(const std::vector< T > &arr)
Utility function used for printing the elements. Prints elements of the array after they're sorted us...
Definition: wiggle_sort.cpp:85
Sorting algorithms.
Functions for Wiggle Sort algorithm.
T rand(T... args)
-
static void test()
Test implementations.
Definition: rat_maze.cpp:84
+
static void test()
Self-test implementations.
Definition: rat_maze.cpp:86
T size(T... args)
T srand(T... args)
T swap(T... args)
diff --git a/dd/db5/nqueen__print__all__solutions_8cpp__incl.map b/dd/db5/nqueen__print__all__solutions_8cpp__incl.map index 7ed4c61a7..4d876e30c 100644 --- a/dd/db5/nqueen__print__all__solutions_8cpp__incl.map +++ b/dd/db5/nqueen__print__all__solutions_8cpp__incl.map @@ -1,5 +1,5 @@ - - + + diff --git a/dd/db5/nqueen__print__all__solutions_8cpp__incl.md5 b/dd/db5/nqueen__print__all__solutions_8cpp__incl.md5 index a8b9781cb..ddae6fa23 100644 --- a/dd/db5/nqueen__print__all__solutions_8cpp__incl.md5 +++ b/dd/db5/nqueen__print__all__solutions_8cpp__incl.md5 @@ -1 +1 @@ -d8d6c187a7d5e98f4d547bc61dc0153a \ No newline at end of file +aa60cc05e010af4966a4a6a3f8fdadb8 \ No newline at end of file diff --git a/dd/db5/nqueen__print__all__solutions_8cpp__incl.svg b/dd/db5/nqueen__print__all__solutions_8cpp__incl.svg index 87fe8ccae..c323e0928 100644 --- a/dd/db5/nqueen__print__all__solutions_8cpp__incl.svg +++ b/dd/db5/nqueen__print__all__solutions_8cpp__incl.svg @@ -23,8 +23,8 @@ Node2 - -iostream + +array @@ -38,8 +38,8 @@ Node3 - -array + +iostream diff --git a/de/d02/knight__tour_8cpp__incl.map b/de/d02/knight__tour_8cpp__incl.map index c169da92d..048f9774c 100644 --- a/de/d02/knight__tour_8cpp__incl.map +++ b/de/d02/knight__tour_8cpp__incl.map @@ -1,5 +1,5 @@ - - - + + + diff --git a/de/d02/knight__tour_8cpp__incl.md5 b/de/d02/knight__tour_8cpp__incl.md5 index ca7c77e3d..adecaf610 100644 --- a/de/d02/knight__tour_8cpp__incl.md5 +++ b/de/d02/knight__tour_8cpp__incl.md5 @@ -1 +1 @@ -774723c31e197f4fbb98e4ef59440a11 \ No newline at end of file +f6922c2a0e708d2f83c28fee61231702 \ No newline at end of file diff --git a/de/d02/knight__tour_8cpp__incl.svg b/de/d02/knight__tour_8cpp__incl.svg index 8cbb65f81..2d2e26a3b 100644 --- a/de/d02/knight__tour_8cpp__incl.svg +++ b/de/d02/knight__tour_8cpp__incl.svg @@ -13,9 +13,9 @@ Node1 - -backtracking/knight -_tour.cpp + +backtracking/knight +_tour.cpp @@ -23,31 +23,31 @@ Node2 - -iostream + +array Node1->Node2 - - + + Node3 - -array + +iostream Node1->Node3 - - + +
diff --git a/df/d36/minimax_8cpp__incl.map b/df/d36/minimax_8cpp__incl.map index e27a36998..786c62b82 100644 --- a/df/d36/minimax_8cpp__incl.map +++ b/df/d36/minimax_8cpp__incl.map @@ -1,7 +1,7 @@ - + - - - + + + diff --git a/df/d36/minimax_8cpp__incl.md5 b/df/d36/minimax_8cpp__incl.md5 index 8e910415d..8b81cdc0f 100644 --- a/df/d36/minimax_8cpp__incl.md5 +++ b/df/d36/minimax_8cpp__incl.md5 @@ -1 +1 @@ -bc0558b64a56f937ea7767c0dccc1311 \ No newline at end of file +0eb1d84b8effa42335e0d15c5be7ddb2 \ No newline at end of file diff --git a/df/d36/minimax_8cpp__incl.svg b/df/d36/minimax_8cpp__incl.svg index 21776f2f1..f8108fafc 100644 --- a/df/d36/minimax_8cpp__incl.svg +++ b/df/d36/minimax_8cpp__incl.svg @@ -4,17 +4,17 @@ - + backtracking/minimax.cpp - + Node1 - -backtracking/minimax.cpp + +backtracking/minimax.cpp @@ -30,53 +30,53 @@ Node1->Node2 - - + + Node3 - -cmath + +array Node1->Node3 - - + + Node4 - -iostream + +cmath Node1->Node4 - - + + Node5 - -array + +iostream Node1->Node5 - - + + diff --git a/df/d44/namespacen__queens__all__solutions.html b/df/d44/namespacen__queens__all__solutions.html index 66578adfb..62dab195a 100644 --- a/df/d44/namespacen__queens__all__solutions.html +++ b/df/d44/namespacen__queens__all__solutions.html @@ -94,10 +94,10 @@ $(document).ready(function(){initNavTree('df/d44/namespacen__queens__all__soluti
-

Functions for Eight Queens puzzle with all solutions. +

Functions for the Eight Queens puzzle with all solutions. More...

Detailed Description

-

Functions for Eight Queens puzzle with all solutions.

+

Functions for the Eight Queens puzzle with all solutions.

diff --git a/df/d94/subarray__sum_8cpp.html b/df/d94/subarray__sum_8cpp.html index d4e09e5e4..53c7352f6 100644 --- a/df/d94/subarray__sum_8cpp.html +++ b/df/d94/subarray__sum_8cpp.html @@ -113,7 +113,7 @@ Include dependency graph for subarray_sum.cpp:

Namespaces

namespace  backtracking - Backtracking algorithms.
+ for std::vector
  namespace  subarray_sum  Functions for the Subset sum implementation.
diff --git a/df/dfb/minimax_8cpp.html b/df/dfb/minimax_8cpp.html index f08d90d3d..689edef19 100644 --- a/df/dfb/minimax_8cpp.html +++ b/df/dfb/minimax_8cpp.html @@ -100,28 +100,30 @@ $(document).ready(function(){initNavTree('df/dfb/minimax_8cpp.html','../../'); i

returns which is the longest/shortest number using minimax algorithm More...

#include <algorithm>
+#include <array>
#include <cmath>
#include <iostream>
-#include <array>
Include dependency graph for minimax.cpp:
-
+
- +

Namespaces

namespace  backtracking
 Backtracking algorithms.
 for std::vector
 
+ +

Functions

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 is the maximum/minimum number in the array. More...
 
int main ()
 Main function. More...
 

Detailed Description

@@ -146,20 +148,22 @@ Functions
-

Main function

-
54 {
-
55 std::array<int, 8> scores = {90, 23, 6, 33, 21, 65, 123, 34423};
-
56 double height = log2(scores.size());
-
57
-
58 std::cout << "Optimal value: " << backtracking::minimax(0, 0, true, scores, height)
-
59 << std::endl;
-
60 return 0;
-
61}
+ +

Main function.

+
Returns
0 on exit
+
56 {
+
57 std::array<int, 8> scores = {90, 23, 6, 33, 21, 65, 123, 34423};
+
58 double height = log2(scores.size());
+
59
+
60 std::cout << "Optimal value: "
+
61 << backtracking::minimax(0, 0, true, scores, height) << std::endl;
+
62 return 0;
+
63}
int height(node *root)
Definition: avltree.cpp:31
T endl(T... args)
-
int minimax(int depth, int node_index, bool is_max, const std::array< int, T > &scores, double height)
Definition: minimax.cpp:38
+
int minimax(int depth, int node_index, bool is_max, const std::array< int, T > &scores, double height)
Check which is the maximum/minimum number in the array.
Definition: minimax.cpp:39
T size(T... args)
Here is the call graph for this function:
diff --git a/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map b/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map index 1e63c749a..e2de1f44d 100644 --- a/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map +++ b/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map @@ -1,8 +1,8 @@ - + - + diff --git a/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 b/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 index 252d406ab..cdafc18bc 100644 --- a/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 +++ b/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 @@ -1 +1 @@ -f820e35b382c1ac58f720143716559a6 \ No newline at end of file +532bf98a357cd1689a34da98aa3c01fb \ No newline at end of file diff --git a/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg b/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg index 382a4a0cc..5fa746b3a 100644 --- a/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg +++ b/df/dfb/minimax_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg @@ -12,7 +12,7 @@ Node1 - + main @@ -51,7 +51,7 @@ Node4 - + backtracking::minimax diff --git a/namespacemembers.html b/namespacemembers.html index 23357552c..9855fed12 100644 --- a/namespacemembers.html +++ b/namespacemembers.html @@ -149,7 +149,6 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
  • getConnectedComponents() : graph
  • getFailureArray() : string_search
  • gnomeSort() : sorting
  • -
  • graphColoring() : backtracking
  • @@ -164,9 +163,6 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
  • insertionSort() : sorting
  • integral_approx() : math
  • isBipartite() : graph
  • -
  • isPossible() : backtracking
  • -
  • issafe() : backtracking
  • -
  • isSafe() : backtracking
  • @@ -222,8 +218,6 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
  • power() : math
  • power_of_two() : math
  • print() : operations_on_datastructures
  • -
  • printMat() : backtracking
  • -
  • printSolution() : backtracking
  • PROBABILITY : data_structures
  • putProber() : double_hashing, linear_probing, quadratic_probing
  • pyramid_volume() : math
  • @@ -258,8 +252,6 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
  • shift_left() : operations_on_datastructures
  • shift_right() : operations_on_datastructures
  • shuffle() : sorting
  • -
  • solve() : backtracking
  • -
  • solveSudoku() : backtracking
  • sphere_surface_area() : math
  • sphere_volume() : math
  • spirograph() : spirograph
  • diff --git a/namespacemembers_func.html b/namespacemembers_func.html index 2892f83c3..596d8f1b4 100644 --- a/namespacemembers_func.html +++ b/namespacemembers_func.html @@ -149,7 +149,6 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
  • getConnectedComponents() : graph
  • getFailureArray() : string_search
  • gnomeSort() : sorting
  • -
  • graphColoring() : backtracking
  • @@ -164,9 +163,6 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
  • insertionSort() : sorting
  • integral_approx() : math
  • isBipartite() : graph
  • -
  • isPossible() : backtracking
  • -
  • issafe() : backtracking
  • -
  • isSafe() : backtracking
  • @@ -219,8 +215,6 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
  • power() : math
  • power_of_two() : math
  • print() : operations_on_datastructures
  • -
  • printMat() : backtracking
  • -
  • printSolution() : backtracking
  • putProber() : double_hashing, linear_probing, quadratic_probing
  • pyramid_volume() : math
  • @@ -254,8 +248,6 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
  • shift_left() : operations_on_datastructures
  • shift_right() : operations_on_datastructures
  • shuffle() : sorting
  • -
  • solve() : backtracking
  • -
  • solveSudoku() : backtracking
  • sphere_surface_area() : math
  • sphere_volume() : math
  • spirograph() : spirograph
  • diff --git a/namespaces.html b/namespaces.html index d96a6227d..cd8bbbac0 100644 --- a/namespaces.html +++ b/namespaces.html @@ -100,7 +100,7 @@ $(document).ready(function(){initNavTree('namespaces.html',''); initResizable();  NactivationsVarious activation functions used in Neural network  NatbashFunctions for the Atbash Cipher implementation  Naystar_searchFunctions for A* Search implementation - NbacktrackingBacktracking algorithms + NbacktrackingFor std::vector  Nbase64_encodingFunctions for Base64 Encoding and Decoding implementation  Nbidirectional_dijkstraFunctions for Bidirectional Dijkstra Shortest Path algorithm  NbinomialFunctions for Binomial coefficients implementation @@ -169,158 +169,161 @@ $(document).ready(function(){initNavTree('namespaces.html',''); initResizable();  CHKGraphRepresents Bipartite graph for Hopcroft Karp implementation  CLowestCommonAncestor  CRootedTree - Nhamming_distanceFunctions for Hamming distance implementation - NhashingHashing algorithms - Nheavy_light_decompositionHeavy light decomposition algorithm - NhorspoolFunctions for Horspool's algorithm - Nhouse_robberFunctions for the House Robber algorithm - Ninorder_successor_of_bstFunctions for the Inorder successor of a binary search tree implementation - NinversionFunctions for counting inversions using Merge Sort algorithm - Nis_graph_bipartiteFunctions for checking whether a graph is bipartite or not - Niterative_tree_traversalsFunctions for the Traversal of the Tree algorithm - NjarvisFunctions for Jarvis’s algorithm - NkadaneFunctions for Kadane algorithm - Nkaratsuba_algorithmFunctions for the Karatsuba algorithm for fast multiplication - NKnapsackImplementation of 0-1 Knapsack problem - NlayersThis namespace contains layers used in MLP - Nlinear_algebraFor io operations - Nlinear_probingAn implementation of hash table using linear probing algorithm - CEntry - Nlinear_recurrence_matrixFunctions for Linear Recurrence Matrix implementation - Nlinked_listFunctions for singly linked list algorithm - Nlist_arrayFunctions for Dynamic Array algorithm - Nlru_cacheImplementation of the LRU caching algorithm - Nlru_tests - Nmachine_learningA* search algorithm - Naystar_search - CAyStarSearchA class defining A* search algorithm. for some initial state and final state - Ccomparison_operatorCustom comparator for open_list - CInfoStruct that handles all the information related to the current state - CEightPuzzleA class defining EightPuzzle/15-Puzzle game - Nneural_network - Nactivations - Nlayers - CDenseLayer - Nutil_functions - CNeuralNetwork - Cadaline - Nmagic_sequenceFunctions for the Magic sequence implementation - NmanacherFunctions for Manacher's Algorithm implementation - NmathFor M_PI definition and pow() - Nbinomial - Nfibonacci_sum - Nmodular_division - Nmonte_carlo - Nn_bonacci - Nncr_modulo_p - CNCRModuloPClass which contains all methods required for calculating nCr mod p - Nvector_cross - NMD5Functions for the MD5 algorithm implementation - Nmedian_searchFunctions for Median search algorithm - Nmerge_insertionCombined Intersion-Merge sorting algorithm - Nmincoins_topdownFunctions for minimum coin exchange problem - NMinimumImplementation of Minimum Edit Distance algorithm - Nmodular_divisionFunctions for Modular Division implementation - Nmonte_carloFunctions for the Monte Carlo Integration implementation - NmorseFunctions for Morse Code - Nn_bonacciFunctions for the N-bonacci implementation - Nn_queensFunctions for Eight Queens puzzle - Nn_queens_all_solutionsFunctions for Eight Queens puzzle with all solutions - Nn_queens_optimizedFunctions for Eight Queens puzzle optimized - Nncr_modulo_pFunctions for nCr modulo p implementation - Nneural_networkNeural Network or Multilayer Perceptron - Nnumerical_methodsFor io operations - Noperations_on_datastructuresFor std::vector - Ninorder_traversal_of_bst - CNodeA Node structure representing a single node in BST - Nreverse_binary_tree - CBinaryTreeA Binary Tree class that implements a Binary Search Tree (BST) by default - CNodeA Node struct that represents a single node in a Binary Tree - Ntrie_operations - CTnodeClass defining the structure of trie node and containing the methods to perform operations on them - NothersFor vector - Niterative_tree_traversals - CBinaryTreeDefines the functions associated with the binary tree - CNodeDefines the structure of a node of the tree - Nlru_cache - CLRUCacheLRU cache class - Npostfix_expression - CStackCreates an array to be used as stack for storing values - Npalindrome_partitioningFunctions for Palindrome Partitioning algorithm - Npancake_sortFunctions for Pancake sort algorithm - Npostfix_expressionFunctions for Postfix Expression algorithm - Nprefix_sum_arrayRange sum queries using prefix-sum-array - NprobabilityProbability algorithms - Ngeometric_dist - Cgeometric_distributionA class to model the geometric distribution - Nwindowed_median - CWindowedMedianA class to calculate the median of a leading sliding window at the back of a stream of integer values - Nqr_algorithmFunctions to compute QR decomposition of any rectangular matrix - Nquadratic_probingAn implementation of hash table using quadratic probing algorithm - CEntry - Nqueue_using_arrayFunctions for Queue using Array implementation - Nradix_sortFunctions for Radix sort algorithm - Nrandom_pivot_quick_sortFunctions for the Random Pivot Quick Sort implementation - Nrange_queriesAlgorithms and Data Structures that support range queries and updates - Nheavy_light_decomposition - CHLDThe Heavy-Light Decomposition class - CSGSegment Tree, to store heavy chains - CTreeA Basic Tree, which supports binary lifting - Nprefix_sum_array - Nsparse_table - CperSegTreeRange query here is range sum, but the code can be modified to make different queries like range max or min - CNode - Nrat_mazeFunctions for <a href="https://www.codesdope.com/blog/article/backtracking-to- + Ngraph_coloringFunctions for the Graph Coloring algorithm, + Nhamming_distanceFunctions for Hamming distance implementation + NhashingHashing algorithms + Nheavy_light_decompositionHeavy light decomposition algorithm + NhorspoolFunctions for Horspool's algorithm + Nhouse_robberFunctions for the House Robber algorithm + Ninorder_successor_of_bstFunctions for the Inorder successor of a binary search tree implementation + NinversionFunctions for counting inversions using Merge Sort algorithm + Nis_graph_bipartiteFunctions for checking whether a graph is bipartite or not + Niterative_tree_traversalsFunctions for the Traversal of the Tree algorithm + NjarvisFunctions for Jarvis’s algorithm + NkadaneFunctions for Kadane algorithm + Nkaratsuba_algorithmFunctions for the Karatsuba algorithm for fast multiplication + NKnapsackImplementation of 0-1 Knapsack problem + Nknight_tourFunctions for the Knight's tour algorithm + NlayersThis namespace contains layers used in MLP + Nlinear_algebraFor io operations + Nlinear_probingAn implementation of hash table using linear probing algorithm + CEntry + Nlinear_recurrence_matrixFunctions for Linear Recurrence Matrix implementation + Nlinked_listFunctions for singly linked list algorithm + Nlist_arrayFunctions for Dynamic Array algorithm + Nlru_cacheImplementation of the LRU caching algorithm + Nlru_tests + Nmachine_learningA* search algorithm + Naystar_search + CAyStarSearchA class defining A* search algorithm. for some initial state and final state + Ccomparison_operatorCustom comparator for open_list + CInfoStruct that handles all the information related to the current state + CEightPuzzleA class defining EightPuzzle/15-Puzzle game + Nneural_network + Nactivations + Nlayers + CDenseLayer + Nutil_functions + CNeuralNetwork + Cadaline + Nmagic_sequenceFunctions for the Magic sequence implementation + NmanacherFunctions for Manacher's Algorithm implementation + NmathFor M_PI definition and pow() + Nbinomial + Nfibonacci_sum + Nmodular_division + Nmonte_carlo + Nn_bonacci + Nncr_modulo_p + CNCRModuloPClass which contains all methods required for calculating nCr mod p + Nvector_cross + NMD5Functions for the MD5 algorithm implementation + Nmedian_searchFunctions for Median search algorithm + Nmerge_insertionCombined Intersion-Merge sorting algorithm + Nmincoins_topdownFunctions for minimum coin exchange problem + NMinimumImplementation of Minimum Edit Distance algorithm + Nmodular_divisionFunctions for Modular Division implementation + Nmonte_carloFunctions for the Monte Carlo Integration implementation + NmorseFunctions for Morse Code + Nn_bonacciFunctions for the N-bonacci implementation + Nn_queensFunctions for Eight Queens puzzle + Nn_queens_all_solutionsFunctions for the Eight Queens puzzle with all solutions + Nn_queens_optimizedFunctions for Eight Queens puzzle optimized + Nncr_modulo_pFunctions for nCr modulo p implementation + Nneural_networkNeural Network or Multilayer Perceptron + Nnumerical_methodsFor io operations + Noperations_on_datastructuresFor std::vector + Ninorder_traversal_of_bst + CNodeA Node structure representing a single node in BST + Nreverse_binary_tree + CBinaryTreeA Binary Tree class that implements a Binary Search Tree (BST) by default + CNodeA Node struct that represents a single node in a Binary Tree + Ntrie_operations + CTnodeClass defining the structure of trie node and containing the methods to perform operations on them + NothersFor vector + Niterative_tree_traversals + CBinaryTreeDefines the functions associated with the binary tree + CNodeDefines the structure of a node of the tree + Nlru_cache + CLRUCacheLRU cache class + Npostfix_expression + CStackCreates an array to be used as stack for storing values + Npalindrome_partitioningFunctions for Palindrome Partitioning algorithm + Npancake_sortFunctions for Pancake sort algorithm + Npostfix_expressionFunctions for Postfix Expression algorithm + Nprefix_sum_arrayRange sum queries using prefix-sum-array + NprobabilityProbability algorithms + Ngeometric_dist + Cgeometric_distributionA class to model the geometric distribution + Nwindowed_median + CWindowedMedianA class to calculate the median of a leading sliding window at the back of a stream of integer values + Nqr_algorithmFunctions to compute QR decomposition of any rectangular matrix + Nquadratic_probingAn implementation of hash table using quadratic probing algorithm + CEntry + Nqueue_using_arrayFunctions for Queue using Array implementation + Nradix_sortFunctions for Radix sort algorithm + Nrandom_pivot_quick_sortFunctions for the Random Pivot Quick Sort implementation + Nrange_queriesAlgorithms and Data Structures that support range queries and updates + Nheavy_light_decomposition + CHLDThe Heavy-Light Decomposition class + CSGSegment Tree, to store heavy chains + CTreeA Basic Tree, which supports binary lifting + Nprefix_sum_array + Nsparse_table + CperSegTreeRange query here is range sum, but the code can be modified to make different queries like range max or min + CNode + Nrat_mazeFunctions for <a href="https://www.codesdope.com/blog/article/backtracking-to- solve-a-rat-in-a-maze-c-java-pytho/" - Nreverse_binary_treeFunctions for the Reverse a Binary Tree implementation - Nrunge_kuttaFunctions for Runge Kutta fourth order method - NsaddlebackFunction for implementing Saddleback Algorithm - NsearchFor std::vector - Ncycle_detection - Nmedian_search - Nsaddleback - Nsublist_search - CNodeA Node structure representing a single link Node in a linked list - Nselection_sort_recursiveFunctions for the Selection sort implementation using recursion - NSHAFunctions for the SHA-1 algorithm implementation - Nshortest_common_supersequenceShortest Common Super Sequence algorithm - NsortingSorting algorithms - Nsparse_tableFunctions for Implementation of Sparse Table - Nspirograph - Nstack_using_queueFunctions for the Stack Using Queue implementation - NstatisticsStatistical algorithms - Cstats_computer1 - Cstats_computer2 - NstdSTL namespace - Nchrono - Nexperimental - Nrel_ops - Nthis_thread - Cis_arithmetic< uint128_t > - Cis_arithmetic< uint256_t > - Cis_integral< uint128_t > - Cis_integral< uint256_t > - Cis_unsigned< uint128_t > - Cis_unsigned< uint256_t > - NstrandFunctions for Strand Sort algorithm - Nstring_searchString search algorithms - NstringsAlgorithms with strings - Nsubarray_sumFunctions for the Subset sum implementation - Nsublist_searchFunctions for the Sublist Search implementation - NSubsetsFunctions for the Subset Sum problem - NtestsTestcases to check Union of Two Arrays - Ntree_234Functions for 2–3–4 tree - Ntrie_operationsFunctions for Trie datastructure implementation - Ntrie_using_hashmapFunctions for Trie data structure using hashmap implementation - Nutil_functionsVarious utility functions used in Neural network - Nvector_crossFunctions for Vector Cross Product algorithms - NvigenereFunctions for vigenère cipher algorithm - Nwave_sortFunctions for the Wave sort implementation - Nwiggle_sortFunctions for Wiggle Sort algorithm - Nwildcard_matchingFunctions for the Wildcard Matching problem - Nwindowed_medianFunctions for the Windowed Median algorithm implementation - Nword_breakFunctions for Word Break problem - NXORFunctions for XOR cipher algorithm + Nreverse_binary_treeFunctions for the Reverse a Binary Tree implementation + Nrunge_kuttaFunctions for Runge Kutta fourth order method + NsaddlebackFunction for implementing Saddleback Algorithm + NsearchFor std::vector + Ncycle_detection + Nmedian_search + Nsaddleback + Nsublist_search + CNodeA Node structure representing a single link Node in a linked list + Nselection_sort_recursiveFunctions for the Selection sort implementation using recursion + NSHAFunctions for the SHA-1 algorithm implementation + Nshortest_common_supersequenceShortest Common Super Sequence algorithm + NsortingSorting algorithms + Nsparse_tableFunctions for Implementation of Sparse Table + Nspirograph + Nstack_using_queueFunctions for the Stack Using Queue implementation + NstatisticsStatistical algorithms + Cstats_computer1 + Cstats_computer2 + NstdSTL namespace + Nchrono + Nexperimental + Nrel_ops + Nthis_thread + Cis_arithmetic< uint128_t > + Cis_arithmetic< uint256_t > + Cis_integral< uint128_t > + Cis_integral< uint256_t > + Cis_unsigned< uint128_t > + Cis_unsigned< uint256_t > + NstrandFunctions for Strand Sort algorithm + Nstring_searchString search algorithms + NstringsAlgorithms with strings + Nsubarray_sumFunctions for the Subset sum implementation + Nsublist_searchFunctions for the Sublist Search implementation + NSubsetsFunctions for the Subset Sum problem + Nsudoku_solverFunctions for the Sudoku Solver implementation + NtestsTestcases to check Union of Two Arrays + Ntree_234Functions for 2–3–4 tree + Ntrie_operationsFunctions for Trie datastructure implementation + Ntrie_using_hashmapFunctions for Trie data structure using hashmap implementation + Nutil_functionsVarious utility functions used in Neural network + Nvector_crossFunctions for Vector Cross Product algorithms + NvigenereFunctions for vigenère cipher algorithm + Nwave_sortFunctions for the Wave sort implementation + Nwiggle_sortFunctions for Wiggle Sort algorithm + Nwildcard_matchingFunctions for the Wildcard Matching problem + Nwindowed_medianFunctions for the Windowed Median algorithm implementation + Nword_breakFunctions for Word Break problem + NXORFunctions for XOR cipher algorithm
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