diff --git a/4.cpp b/4.cpp new file mode 100644 index 0000000..fbdd709 --- /dev/null +++ b/4.cpp @@ -0,0 +1,113 @@ +#include +#include + +void format(int board[9][9]) { + for (int i = 0; i < 9; i++) { + for (int j = 0; j < 9; j++) { + printf("%d ", board[i][j]); + if ((j + 1) % 3 == 0 && j != 8) { + printf("| "); + } + } + if ((i + 1) % 3 == 0 && i != 8) { + printf("\n---------------------\n"); + } + else { printf("\n"); } + } +} + +bool panduan(int board[9][9]) { + + for (int i = 0; i < 9; i++) { + bool row[10] = { 0 }, col[10] = { 0 }, block[10] = { 0 }; + for (int j = 0; j < 9; j++) { + + if (board[i][j] != 0) { + if (row[board[i][j]]) { + printf("The number %d in row %d has been used!\n", board[i][j], i); + return false; + } + row[board[i][j]] = true; + } + + if (board[j][i] != 0) { + if (col[board[j][i]]) { + printf("The number %d in column %d has been used!\n", board[j][i], i); + return false; + } + col[board[j][i]] = true; + } + + int blockRow = 3 * (i / 3), blockCol = 3 * (i % 3); + if (board[blockRow + j / 3][blockCol + j % 3] != 0) { + if (block[board[blockRow + j / 3][blockCol + j % 3]]) { + printf("The number %d in block %d has been used!\n", + board[blockRow + j / 3][blockCol + j % 3], (i / 3) * 3 + (i % 3)); + return false; + } + block[board[blockRow + j / 3][blockCol + j % 3]] = true; + } + } + } + return true; +} + + +bool jie(int board[9][9]) { + for (int row = 0; row < 9; row++) { + for (int col = 0; col < 9; col++) { + if (board[row][col] == 0) { + for (int num = 1; num <= 9; num++) { + board[row][col] = num; + if (panduan(board)) { + if (panduan(board)) { + return true; + } + } + board[row][col] = 0; + } + return false; + } + } + } + return true; +} + +int main() +{ + int board[9][9] = { {5, 3, 0, 0, 7, 0, 0, 0, 0}, +{6, 0, 0, 1, 9, 5, 0, 0, 0}, +{0, 9, 8, 0, 0, 0, 0, 6, 0}, +{8, 0, 0, 0, 6, 0, 0, 0, 3}, +{4, 0, 0, 8, 0, 3, 0, 0, 1}, +{7, 0, 0, 0, 2, 0, 0, 0, 6}, +{0, 6, 0, 0, 0, 0, 2, 8, 0}, +{0, 0, 0, 4, 1, 9, 0, 0, 5}, +{0, 0, 0, 0, 8, 0, 0, 7, 9}}; + void format(int board[9][9]); + + printf("The original Sudoku matrix:\n"); + format(board); + + if (panduan(board)) { + printf("True: Valid initial Sudoku matrix!\n"); + if (jie(board)) { + printf("The solution of Sudoku matrix:\n"); + format(board); + } + else { + printf("No solution!\n"); + } + } + else { + printf("False: Invalid initial Sudoku matrix!\n"); + printf("No solution!\n"); + } + + return 0; + + + +} + +