diff --git a/d2/d5a/subset__sum_8cpp.html b/d2/d5a/subset__sum_8cpp.html new file mode 100644 index 000000000..84100885c --- /dev/null +++ b/d2/d5a/subset__sum_8cpp.html @@ -0,0 +1,322 @@ + + + + + + + +Algorithms_in_C++: backtracking/subset_sum.cpp File Reference + + + + + + + + + + + + + + + +
+
+ + + + + + +
+
Algorithms_in_C++ +  1.0.0 +
+
Set of algorithms implemented in C++.
+
+
+ + + + + + + +
+
+ +
+
+
+ +
+ +
+
+ + +
+ +
+ +
+
+Namespaces | +Functions
+
+
subset_sum.cpp File Reference
+
+
+ +

Implementation of the Subset Sum problem. +More...

+
#include <cassert>
+#include <iostream>
+#include <vector>
+
+Include dependency graph for subset_sum.cpp:
+
+
+
+
+
+ + + + + + + +

+Namespaces

 backtracking
 Backtracking algorithms.
 
 Subsets
 Functions for the Subset Sum problem.
 
+ + + + + + + + + + +

+Functions

uint64_t backtracking::subset_sum::number_of_subsets (int32_t sum, const std::vector< int32_t > &in_arr)
 The main function implements count of subsets. More...
 
static void test ()
 Test implementations. More...
 
int main ()
 Main function. More...
 
+

Detailed Description

+

Implementation of the Subset Sum problem.

+

We are given an array and a sum value. The algorithm finds all the subsets of that array with sum equal to the given sum and return such subsets count. This approach will have exponential time complexity.

Author
Swastika Gupta
+

Function Documentation

+ +

◆ main()

+ +
+
+ + + + + + + + +
int main (void )
+
+ +

Main function.

+
Returns
0 on exit
+
103  {
+
104  test(); // run self-test implementations
+
105  return 0;
+
106 }
+
test
static void test()
Test implementations.
Definition: subset_sum.cpp:57
+
+Here is the call graph for this function:
+
+
+
+
+ +
+
+ +

◆ number_of_subsets()

+ +
+
+ + + + + + + + + + + + + + + + + + +
uint64_t backtracking::subset_sum::number_of_subsets (int32_t sum,
const std::vector< int32_t > & in_arr 
)
+
+ +

The main function implements count of subsets.

+
Parameters
+ + + +
sumis the required sum of any subset
in_arris the input array
+
+
+
Returns
count of the number of subsets with required sum
+
33  {
+
34  int32_t nelement = in_arr.size();
+
35  uint64_t count_of_subset = 0;
+
36 
+
37  for (int32_t i = 0; i < (1 << (nelement)); i++) {
+
38  int32_t check = 0;
+
39  for (int32_t j = 0; j < nelement; j++) {
+
40  if (i & (1 << j)) {
+
41  check += (in_arr[j]);
+
42  }
+
43  }
+
44  if (check == sum) {
+
45  count_of_subset++;
+
46  }
+
47  }
+
48  return count_of_subset;
+
49 }
+
machine_learning::sum
T sum(const std::vector< std::valarray< T >> &A)
Definition: vector_ops.hpp:232
+
std::vector::size
T size(T... args)
+
dynamic_programming::word_break::check
bool check(const std::string &s, const std::unordered_set< std::string > &strSet, int pos, std::vector< int > *dp)
Function that checks if the string passed in param can be segmented from position 'pos',...
Definition: word_break.cpp:80
+
+Here is the call graph for this function:
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+ +
+
+ +

◆ test()

+ +
+
+ + + + + +
+ + + + + + + +
static void test ()
+ 		+static
+
+ +

Test implementations.

+
Returns
void
+
57  {
+
58  // 1st test
+
59  std::cout << "1st test ";
+
60  std::vector<int32_t> array1 = {-7, -3, -2, 5, 8}; // input array
+
61  assert(backtracking::subset_sum::number_of_subsets(0, array1) ==
+
62  2); // first argument in subset_sum function is the required sum and
+
63  // second is the input array
+
64  std::cout << "passed" << std::endl;
+
65 
+
66  // 2nd test
+
67  std::cout << "2nd test ";
+
68  std::vector<int32_t> array2 = {1, 2, 3, 3};
+
69  assert(backtracking::subset_sum::number_of_subsets(6, array2) ==
+
70  3); // here we are expecting 3 subsets which sum up to 6 i.e.
+
71  // {(1,2,3),(1,2,3),(3,3)}
+
72  std::cout << "passed" << std::endl;
+
73 
+
74  // 3rd test
+
75  std::cout << "3rd test ";
+
76  std::vector<int32_t> array3 = {1, 1, 1, 1};
+
77  assert(backtracking::subset_sum::number_of_subsets(1, array3) ==
+
78  4); // here we are expecting 4 subsets which sum up to 1 i.e.
+
79  // {(1),(1),(1),(1)}
+
80  std::cout << "passed" << std::endl;
+
81 
+
82  // 4th test
+
83  std::cout << "4th test ";
+
84  std::vector<int32_t> array4 = {3, 3, 3, 3};
+
85  assert(backtracking::subset_sum::number_of_subsets(6, array4) ==
+
86  6); // here we are expecting 6 subsets which sum up to 6 i.e.
+
87  // {(3,3),(3,3),(3,3),(3,3),(3,3),(3,3)}
+
88  std::cout << "passed" << std::endl;
+
89 
+
90  // Test 5
+
91  std::cout << "5th test ";
+
92  std::vector<int32_t> array5 = {};
+
93  assert(backtracking::subset_sum::number_of_subsets(6, array5) ==
+
94  0); // here we are expecting 0 subsets which sum up to 6 i.e. we
+
95  // cannot select anything from an empty array
+
96  std::cout << "passed" << std::endl;
+
97 }
+ +
std::endl
T endl(T... args)
+ +
+Here is the call graph for this function:
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+ + + + diff --git a/d2/d5a/subset__sum_8cpp.js b/d2/d5a/subset__sum_8cpp.js new file mode 100644 index 000000000..910f4f071 --- /dev/null +++ b/d2/d5a/subset__sum_8cpp.js @@ -0,0 +1,6 @@ +var subset__sum_8cpp = +[ + [ "main", "d2/d5a/subset__sum_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4", null ], + [ "number_of_subsets", "d2/d5a/subset__sum_8cpp.html#a7cb50d36a59427a33f64a266dac83d99", null ], + [ "test", "d2/d5a/subset__sum_8cpp.html#aa8dca7b867074164d5f45b0f3851269d", null ] +]; \ No newline at end of file diff --git a/d2/d5a/subset__sum_8cpp_a7cb50d36a59427a33f64a266dac83d99_cgraph.map b/d2/d5a/subset__sum_8cpp_a7cb50d36a59427a33f64a266dac83d99_cgraph.map new file mode 100644 index 000000000..184db9cfd --- /dev/null +++ b/d2/d5a/subset__sum_8cpp_a7cb50d36a59427a33f64a266dac83d99_cgraph.map @@ -0,0 +1,5 @@ + + + + + diff --git a/d2/d5a/subset__sum_8cpp_a7cb50d36a59427a33f64a266dac83d99_cgraph.md5 b/d2/d5a/subset__sum_8cpp_a7cb50d36a59427a33f64a266dac83d99_cgraph.md5 new file mode 100644 index 000000000..6debdd0d1 --- /dev/null +++ b/d2/d5a/subset__sum_8cpp_a7cb50d36a59427a33f64a266dac83d99_cgraph.md5 @@ -0,0 +1 @@ +a0525aaac8cd2f6c9197faa4903dd32e \ No newline at end of file diff --git a/d2/d5a/subset__sum_8cpp_a7cb50d36a59427a33f64a266dac83d99_cgraph.svg b/d2/d5a/subset__sum_8cpp_a7cb50d36a59427a33f64a266dac83d99_cgraph.svg new file mode 100644 index 000000000..469f075b3 --- /dev/null +++ b/d2/d5a/subset__sum_8cpp_a7cb50d36a59427a33f64a266dac83d99_cgraph.svg @@ -0,0 +1,59 @@ + + + + + + +backtracking::subset_sum::number_of_subsets + + + +Node1 + + +backtracking::subset +_sum::number_of_subsets + + + + + +Node1->Node1 + + + + + +Node2 + + +std::vector::size + + + + + +Node1->Node2 + + + + + +Node3 + + +machine_learning::sum + + + + + +Node1->Node3 + + + + + diff --git a/d2/d5a/subset__sum_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map b/d2/d5a/subset__sum_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map new file mode 100644 index 000000000..94fc77316 --- /dev/null +++ b/d2/d5a/subset__sum_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.map @@ -0,0 +1,4 @@ + + + + diff --git a/d2/d5a/subset__sum_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 b/d2/d5a/subset__sum_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 new file mode 100644 index 000000000..2a45ff7d2 --- /dev/null +++ b/d2/d5a/subset__sum_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.md5 @@ -0,0 +1 @@ +8d359d70fd10f0a4031702eb4edbf468 \ No newline at end of file diff --git a/d2/d5a/subset__sum_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg b/d2/d5a/subset__sum_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg new file mode 100644 index 000000000..25b6ec65a --- /dev/null +++ b/d2/d5a/subset__sum_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg @@ -0,0 +1,37 @@ + + + + + + +test + + + +Node1 + + +test + + + + + +Node2 + + +std::endl + + + + + +Node1->Node2 + + + + + diff --git a/d2/d5a/subset__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map b/d2/d5a/subset__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map new file mode 100644 index 000000000..334f990ae --- /dev/null +++ b/d2/d5a/subset__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map @@ -0,0 +1,5 @@ + + + + + diff --git a/d2/d5a/subset__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 b/d2/d5a/subset__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 new file mode 100644 index 000000000..1e1f09b80 --- /dev/null +++ b/d2/d5a/subset__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 @@ -0,0 +1 @@ +f4de6e33a8f301a921c646f80a22761c \ No newline at end of file diff --git a/d2/d5a/subset__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg b/d2/d5a/subset__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg new file mode 100644 index 000000000..507f62b93 --- /dev/null +++ b/d2/d5a/subset__sum_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg @@ -0,0 +1,52 @@ + + + + + + +main + + + +Node1 + + +main + + + + + +Node2 + + +test + + + + + +Node1->Node2 + + + + + +Node3 + + +std::endl + + + + + +Node2->Node3 + + + + + diff --git a/d5/d88/md__d_i_r_e_c_t_o_r_y.html b/d5/d88/md__d_i_r_e_c_t_o_r_y.html index 8c6e776aa..bfa91064c 100644 --- a/d5/d88/md__d_i_r_e_c_t_o_r_y.html +++ b/d5/d88/md__d_i_r_e_c_t_o_r_y.html @@ -102,6 +102,7 @@ $(document).ready(function(){initNavTree('d5/d88/md__d_i_r_e_c_t_o_r_y.html','..
  • N Queens All Solution Optimised
  • Nqueen Print All Solutions
  • Rat Maze
    • +
  • Subset Sum
  • Sudoku Solve

    • diff --git a/db/da8/subset__sum_8cpp__incl.map b/db/da8/subset__sum_8cpp__incl.map new file mode 100644 index 000000000..54bb6a31f --- /dev/null +++ b/db/da8/subset__sum_8cpp__incl.map @@ -0,0 +1,6 @@ + + + + + + diff --git a/db/da8/subset__sum_8cpp__incl.md5 b/db/da8/subset__sum_8cpp__incl.md5 new file mode 100644 index 000000000..5d8fc187e --- /dev/null +++ b/db/da8/subset__sum_8cpp__incl.md5 @@ -0,0 +1 @@ +739be375a0f3573f773a322ac16549c4 \ No newline at end of file diff --git a/db/da8/subset__sum_8cpp__incl.svg b/db/da8/subset__sum_8cpp__incl.svg new file mode 100644 index 000000000..a3dbe2e39 --- /dev/null +++ b/db/da8/subset__sum_8cpp__incl.svg @@ -0,0 +1,68 @@ + + + + + + +backtracking/subset_sum.cpp + + + +Node1 + + +backtracking/subset +_sum.cpp + + + + + +Node2 + + +cassert + + + + + +Node1->Node2 + + + + + +Node3 + + +iostream + + + + + +Node1->Node3 + + + + + +Node4 + + +vector + + + + + +Node1->Node4 + + + + + diff --git a/db/dc0/namespacebacktracking.html b/db/dc0/namespacebacktracking.html index acf43e013..f5c0d48ab 100644 --- a/db/dc0/namespacebacktracking.html +++ b/db/dc0/namespacebacktracking.html @@ -132,6 +132,9 @@ Functions

    Detailed Description

    Backtracking algorithms.

    +

    for std::vector

    +

    for assert for IO operations

    +

    Backtracking algorithms

    Function Documentation

    ◆ graphColoring()

    diff --git a/de/d95/namespace_subsets.html b/de/d95/namespace_subsets.html new file mode 100644 index 000000000..63069e2d2 --- /dev/null +++ b/de/d95/namespace_subsets.html @@ -0,0 +1,112 @@ + + + + + + + +Algorithms_in_C++: Subsets Namespace Reference + + + + + + + + + + + + + + + +
    +
    + + + + + + +
    +
    Algorithms_in_C++ +  1.0.0 +
    +
    Set of algorithms implemented in C++.
    +
    +
    + + + + + + + +
    +
    + +
    +
    +
    + +
    + +
    +
    + + +
    + +
    + +
    +
    +
    Subsets Namespace Reference
    +
    +
    + +

    Functions for the Subset Sum problem. +More...

    +

    Detailed Description

    +

    Functions for the Subset Sum problem.

    +
    +
    + + + + diff --git a/dir_c11585dfcef32a26e29098facab6c144.html b/dir_c11585dfcef32a26e29098facab6c144.html index 381e530b1..c700bae98 100644 --- a/dir_c11585dfcef32a26e29098facab6c144.html +++ b/dir_c11585dfcef32a26e29098facab6c144.html @@ -119,6 +119,9 @@ Files  Implements <a href="https://www.codesdope.com/blog/article/backtracking-to- solve-a-rat-in-a-maze-c-java-pytho/".
      +file  subset_sum.cpp + Implementation of the Subset Sum problem.
    +  file  sudoku_solve.cpp  Sudoku Solver algorithm.
      diff --git a/dir_c11585dfcef32a26e29098facab6c144.js b/dir_c11585dfcef32a26e29098facab6c144.js index 8cf36e347..ad0f19c5d 100644 --- a/dir_c11585dfcef32a26e29098facab6c144.js +++ b/dir_c11585dfcef32a26e29098facab6c144.js @@ -7,5 +7,6 @@ var dir_c11585dfcef32a26e29098facab6c144 = [ "n_queens_all_solution_optimised.cpp", "da/dac/n__queens__all__solution__optimised_8cpp.html", "da/dac/n__queens__all__solution__optimised_8cpp" ], [ "nqueen_print_all_solutions.cpp", "d7/d24/nqueen__print__all__solutions_8cpp.html", "d7/d24/nqueen__print__all__solutions_8cpp" ], [ "rat_maze.cpp", "dc/d5a/rat__maze_8cpp.html", "dc/d5a/rat__maze_8cpp" ], + [ "subset_sum.cpp", "d2/d5a/subset__sum_8cpp.html", "d2/d5a/subset__sum_8cpp" ], [ "sudoku_solve.cpp", "d6/d7b/sudoku__solve_8cpp.html", "d6/d7b/sudoku__solve_8cpp" ] ]; \ No newline at end of file diff --git a/files.html b/files.html index f34595f91..b19fa240f 100644 --- a/files.html +++ b/files.html @@ -105,7 +105,8 @@ $(document).ready(function(){initNavTree('files.html',''); initResizable(); });  nqueen_print_all_solutions.cppEight Queens puzzle, printing all solutions  rat_maze.cppImplements <a href="https://www.codesdope.com/blog/article/backtracking-to- solve-a-rat-in-a-maze-c-java-pytho/" - sudoku_solve.cppSudoku Solver algorithm + subset_sum.cppImplementation of the Subset Sum problem + sudoku_solve.cppSudoku Solver algorithm  ► bit_manipulation  count_of_set_bits.cppImplementation to count sets bits in an integer  hamming_distance.cppReturns the Hamming distance between two integers diff --git a/globals_func_i.html b/globals_func_i.html index d419feb46..2037df291 100644 --- a/globals_func_i.html +++ b/globals_func_i.html @@ -123,12 +123,12 @@ $(document).ready(function(){initNavTree('globals_func_i.html',''); initResizabl
  • is_square() : ordinary_least_squares_regressor.cpp
    • -
  • IsPrime() -: primality_test.cpp -
  • isPrime() : modular_inverse_fermat_little_theorem.cpp
    • +
  • IsPrime() +: primality_test.cpp +
  • it_ternary_search() : ternary_search.cpp
    • diff --git a/globals_func_m.html b/globals_func_m.html index 3d094100d..0c2fa31f2 100644 --- a/globals_func_m.html +++ b/globals_func_m.html @@ -101,6 +101,7 @@ $(document).ready(function(){initNavTree('globals_func_m.html',''); initResizabl , n_queens_all_solution_optimised.cpp , nqueen_print_all_solutions.cpp , rat_maze.cpp +, subset_sum.cpp , sudoku_solve.cpp , count_of_set_bits.cpp , hamming_distance.cpp diff --git a/globals_func_s.html b/globals_func_s.html index 4981e10ce..79af10ed4 100644 --- a/globals_func_s.html +++ b/globals_func_s.html @@ -126,12 +126,12 @@ $(document).ready(function(){initNavTree('globals_func_s.html',''); initResizabl
  • show_pascal() : pascal_triangle.cpp
    • -
  • sieve() -: sieve_of_eratosthenes.cpp -
  • Sieve() : primes_up_to_billion.cpp
    • +
  • sieve() +: sieve_of_eratosthenes.cpp +
  • SieveOfEratosthenes() : prime_factorization.cpp
    • diff --git a/globals_func_t.html b/globals_func_t.html index d0b614a80..dc9621bc3 100644 --- a/globals_func_t.html +++ b/globals_func_t.html @@ -98,6 +98,7 @@ $(document).ready(function(){initNavTree('globals_func_t.html',''); initResizabl
  • test() : rat_maze.cpp +, subset_sum.cpp , count_of_set_bits.cpp , hamming_distance.cpp , caesar_cipher.cpp diff --git a/globals_i.html b/globals_i.html index e0a80ea03..0e3b0d811 100644 --- a/globals_i.html +++ b/globals_i.html @@ -127,14 +127,14 @@ $(document).ready(function(){initNavTree('globals_i.html',''); initResizable();
  • is_square() : ordinary_least_squares_regressor.cpp
    • -
  • IsPrime() -: primality_test.cpp +
  • isPrime() +: modular_inverse_fermat_little_theorem.cpp
  • isprime : prime_factorization.cpp
    • -
  • isPrime() -: modular_inverse_fermat_little_theorem.cpp +
  • IsPrime() +: primality_test.cpp
  • it_ternary_search() : ternary_search.cpp diff --git a/globals_m.html b/globals_m.html index 10428f0d7..4bb076c70 100644 --- a/globals_m.html +++ b/globals_m.html @@ -101,6 +101,7 @@ $(document).ready(function(){initNavTree('globals_m.html',''); initResizable(); , n_queens_all_solution_optimised.cpp , nqueen_print_all_solutions.cpp , rat_maze.cpp +, subset_sum.cpp , sudoku_solve.cpp , count_of_set_bits.cpp , hamming_distance.cpp diff --git a/globals_s.html b/globals_s.html index 3ec5d0aab..b717f4e8f 100644 --- a/globals_s.html +++ b/globals_s.html @@ -126,12 +126,12 @@ $(document).ready(function(){initNavTree('globals_s.html',''); initResizable();
  • show_pascal() : pascal_triangle.cpp
    • -
  • sieve() -: sieve_of_eratosthenes.cpp -
  • Sieve() : primes_up_to_billion.cpp
    • +
  • sieve() +: sieve_of_eratosthenes.cpp +
  • SieveOfEratosthenes() : prime_factorization.cpp
    • diff --git a/globals_t.html b/globals_t.html index 0d82d5b6e..2538705e0 100644 --- a/globals_t.html +++ b/globals_t.html @@ -98,6 +98,7 @@ $(document).ready(function(){initNavTree('globals_t.html',''); initResizable();
  • test() : rat_maze.cpp +, subset_sum.cpp , count_of_set_bits.cpp , hamming_distance.cpp , caesar_cipher.cpp diff --git a/namespacemembers.html b/namespacemembers.html index 0a8511eb4..0138c4e4e 100644 --- a/namespacemembers.html +++ b/namespacemembers.html @@ -366,12 +366,12 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
  • quadraticProbe() : quadratic_probing
    • -
  • quickSort() -: sorting -
  • quicksort() : sorting
    • +
  • quickSort() +: sorting +
    • diff --git a/namespacemembers_func.html b/namespacemembers_func.html index a7f1fc616..0c64c200b 100644 --- a/namespacemembers_func.html +++ b/namespacemembers_func.html @@ -354,12 +354,12 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
  • quadraticProbe() : quadratic_probing
    • -
  • quickSort() -: sorting -
  • quicksort() : sorting
    • +
  • quickSort() +: sorting +
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