diff --git a/sy4(2).c b/sy4(2).c new file mode 100644 index 0000000..5359cdd --- /dev/null +++ b/sy4(2).c @@ -0,0 +1,121 @@ +#include +#include + +#define SIZE 9 + +// 函数声明 +bool isSafe(int grid[SIZE][SIZE], int row, int col, int num); +bool solveSudoku(int grid[SIZE][SIZE]); +void findInvalidReason(int grid[SIZE][SIZE]); +void print(int matrix[SIZE][SIZE]); + +// 主函数 +int main() { + int sudoku[SIZE][SIZE] = { {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}}; + + printf("The original Sudoku matrix: \n"); + print(sudoku); + + if (solveSudoku(sudoku)) { + printf("True:Valid initial Sudoku matrix!\n"); + printf("The solution of Sudoku matrix:\n"); + print(sudoku); + } else { + printf("False:Invalid initial Sudoku matrix!\n"); + findInvalidReason(sudoku); + printf("No solution!\n"); + } + + return 0; +} + + + +// 检查在给定的数独矩阵中,数字 num 能否放在位置 (row, col) +bool isSafe(int grid[SIZE][SIZE], int row, int col, int num) { + int x, i, j; + // 检查行 + for (x = 0; x < SIZE; x++) + if (grid[row][x] == num) + return false; + + // 检查列 + for (x = 0; x < SIZE; x++) + if (grid[x][col] == num) + return false; + + // 检查 3x3 宫格 + int startRow = row - row % 3, startCol = col - col % 3; + for (i = 0; i < 3; i++) + for (j = 0; j < 3; j++) + if (grid[i + startRow][j + startCol] == num) + return false; + + return true; +} + +// 解决数独问题的递归函数 +bool solveSudoku(int grid[SIZE][SIZE]) { + int row, col, num; + // 查找空白格 + for (row = 0; row < SIZE; row++) + for (col = 0; col < SIZE; col++) + if (grid[row][col] == 0) { + for (num = 1; num <= 9; num++) { + if (isSafe(grid, row, col, num)) { + grid[row][col] = num; + if (solveSudoku(grid)) + return true; + grid[row][col] = 0; // 回溯 + } + } + return false; // 触发回溯 + } + return true; // 解决了数独 +} + +// 查找不满足数独定义的原因 +void findInvalidReason(int grid[SIZE][SIZE]) { + int row, col, num, blockRow, blockCol; + for (row = 0; row < SIZE; row++) { + for (col = 0; col < SIZE; col++) { + if (grid[row][col] != 0) { + for (num = 1; num <= 9; num++) { + if (grid[row][col] == num && !isSafe(grid, row, col, num)) { + blockRow = row - row % 3; + blockCol = col - col % 3; + printf("The number %d is duplicated in row %d, column %d, or block %d.\n", num, row + 1, col + 1, (blockRow / 3) * 3 + (blockCol / 3) + 1); + return; + } + } + } + } + } +} + +// 格式化输出数独矩阵 +void print(int matrix[SIZE][SIZE]) { + int i, j; + printf("|-----------------------------|\n"); + for (i = 0; i < SIZE; i++) { + printf("|"); + for (j = 0; j < SIZE; j++) { + printf("%2d ", matrix[i][j]); + if ((j + 1) % 3 == 0 ) printf("|"); + } + printf("\n"); + if ((i + 1) % 3 == 0 && i < SIZE-1) { + printf("|-----------------------------|\n"); + } + } + printf("|-----------------------------|\n"); + +}