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feat: added highlighting differences in Sudoku Solver (#1438)

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* printing out the solved grid with the differences highlighted.

* added documentation to the functions.

* removed #define because code formatter check failed.
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Francesco Urbani 2021-01-05 10:40:27 +01:00 committed by GitHub
parent 1f5ca99571
commit 9a78d69083
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1 changed files with 16 additions and 9 deletions
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25
backtracking/sudoku_solve.cpp
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@ -59,14 +59,19 @@ namespace backtracking {
* Utility function to print matrix * Utility function to print matrix
* @tparam V number of vertices in array * @tparam V number of vertices in array
* @param mat matrix where numbers are saved * @param mat matrix where numbers are saved
* @param starting_mat copy of mat, required by printMat for highlighting the differences
* @param n number of times loop will run * @param n number of times loop will run
* @return void * @return void
*/ */
template <size_t V> template <size_t V>
void printMat(const std::array <std::array <int, V>, V> &mat, int n) { void printMat(const std::array <std::array <int, V>, V> &mat, const std::array <std::array <int, V>, V> &starting_mat, int n) {
for (int i = 0; i < n; i++) { for (int i = 0; i < n; i++) {
for (int j = 0; j < n; j++) { for (int j = 0; j < n; j++) {
std::cout << mat[i][j] << " "; if (starting_mat[i][j] != mat[i][j]) {
std::cout << "\033[93m" << mat[i][j] << "\033[0m" << " ";
} else {
std::cout << mat[i][j] << " ";
}
if ((j + 1) % 3 == 0) { if ((j + 1) % 3 == 0) {
std::cout << '\t'; std::cout << '\t';
} }
@ -82,28 +87,29 @@ namespace backtracking {
* Sudoku algorithm * Sudoku algorithm
* @tparam V number of vertices in array * @tparam V number of vertices in array
* @param mat matrix where numbers are saved * @param mat matrix where numbers are saved
* @param starting_mat copy of mat, required by printMat for highlighting the differences
* @param i current index in rows * @param i current index in rows
* @param j current index in columns * @param j current index in columns
* @returns `true` if 'no' was placed * @returns `true` if 'no' was placed
* @returns `false` if 'no' was not placed * @returns `false` if 'no' was not placed
*/ */
template <size_t V> template <size_t V>
bool solveSudoku(std::array <std::array <int, V>, V> &mat, int i, int j) { bool solveSudoku(std::array <std::array <int, V>, V> &mat, const std::array <std::array <int, V>, V> &starting_mat, int i, int j) {
/// Base Case /// Base Case
if (i == 9) { if (i == 9) {
/// Solved for 9 rows already /// Solved for 9 rows already
backtracking::printMat<V>(mat, 9); backtracking::printMat<V>(mat, starting_mat, 9);
return true; return true;
} }
/// Crossed the last Cell in the row /// Crossed the last Cell in the row
if (j == 9) { if (j == 9) {
return backtracking::solveSudoku<V>(mat, i + 1, 0); return backtracking::solveSudoku<V>(mat, starting_mat, i + 1, 0);
} }
/// Blue Cell - Skip /// Blue Cell - Skip
if (mat[i][j] != 0) { if (mat[i][j] != 0) {
return backtracking::solveSudoku<V>(mat, i, j + 1); return backtracking::solveSudoku<V>(mat, starting_mat, i, j + 1);
} }
/// White Cell /// White Cell
/// Try to place every possible no /// Try to place every possible no
@ -111,7 +117,7 @@ namespace backtracking {
if (backtracking::isPossible<V>(mat, i, j, no, 9)) { if (backtracking::isPossible<V>(mat, i, j, no, 9)) {
/// Place the 'no' - assuming a solution will exist /// Place the 'no' - assuming a solution will exist
mat[i][j] = no; mat[i][j] = no;
bool solution_found = backtracking::solveSudoku<V>(mat, i, j + 1); bool solution_found = backtracking::solveSudoku<V>(mat, starting_mat, i, j + 1);
if (solution_found) { if (solution_found) {
return true; return true;
} }
@ -142,9 +148,10 @@ int main() {
std::array <int, V> {0, 0, 0, 0, 8, 0, 0, 7, 9} std::array <int, V> {0, 0, 0, 0, 8, 0, 0, 7, 9}
}; };
backtracking::printMat<V>(mat, 9); backtracking::printMat<V>(mat, mat, 9);
std::cout << "Solution " << std::endl; std::cout << "Solution " << std::endl;
backtracking::solveSudoku<V>(mat, 0, 0); std::array <std::array <int, V>, V> starting_mat = mat;
backtracking::solveSudoku<V>(mat, starting_mat, 0, 0);
return 0; return 0;
} }