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147 lines
3.7 KiB
147 lines
3.7 KiB
3 weeks ago
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#include <stdio.h>
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#include <stdbool.h>
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#include <stdlib.h>
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#include <time.h>
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bool isValid(int grid[9][9], int r, int c, int num);
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void generateIncompleteGrid(int grid[9][9]) {
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srand(time(NULL));
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int i, j, block;
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for (i = 0; i < 9; i++) {
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for (j = 0; j < 9; j++) {
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grid[i][j] = 0;
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}
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}
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for (block = 0; block < 3; block++) {
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int used[10] = {0};
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for (i = 0; i < 3; i++) {
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int r = block * 3 + i;
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int placedNum = 0;
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while (placedNum < 3) {
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int num = (rand() % 9) + 1;
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int c = rand() % 9;
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if (grid[r][c] == 0 && isValid(grid, r, c, num) && used[num] == 0) {
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grid[r][c] = num;
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used[num] = 1;
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placedNum++;
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}
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}
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}
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}
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}
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void print(int grid[9][9]) {
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int i, j;
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for (i = 0; i < 9; i++) {
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for (j = 0; j < 9; j++) {
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printf("%2d ", grid[i][j]);
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if ((j + 1) % 3 == 0 && j < 8) {
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printf("| ");
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}
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}
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printf("\n");
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if ((i + 1) % 3 == 0 && i < 8) {
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printf("-----------------------\n");
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}
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}
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}
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bool isValid(int grid[9][9], int r, int c, int num) {
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int x, i, j;
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for (x = 0; x < 9; x++) {
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if (grid[r][x] == num || grid[x][c] == num) {
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return false;
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}
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}
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int startR = r - r % 3, startC = c - c % 3;
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for (i = 0; i < 3; i++) {
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for (j = 0; j < 3; j++) {
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if (grid[i + startR][j + startC] == num) {
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return false;
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}
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}
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}
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return true;
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}
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bool solve(int grid[9][9]) {
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int r, c;
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bool empty = false;
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for (r = 0; r < 9; r++) {
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for (c = 0; c < 9; c++) {
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if (grid[r][c] == 0) {
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empty = true;
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break;
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}
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}
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if (empty) break;
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}
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if (!empty) return true;
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int num;
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for (num = 1; num <= 9; num++) {
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if (isValid(grid, r, c, num)) {
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grid[r][c] = num;
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if (solve(grid)) {
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return true;
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}
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grid[r][c] = 0;
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}
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}
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return false;
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}
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bool validate(int grid[9][9]) {
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int r, c;
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for (r = 0; r < 9; r++) {
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for (c = 0; c < 9; c++) {
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if (grid[r][c] != 0) {
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int num = grid[r][c];
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grid[r][c] = 0;
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if (!isValid(grid, r, c, num)) {
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return false;
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}
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grid[r][c] = num;
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}
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}
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}
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return true;
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}
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int main() {
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int grid[9][9];
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int board0[9][9] = {{5, 3, 0, 0, 7, 0, 0, 0, 0},
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{6, 0, 0, 1, 9, 5, 0, 0, 0},
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{0, 9, 8, 0, 0, 0, 0, 6, 0},
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{8, 0, 0, 0, 6, 0, 0, 0, 3},
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{4, 0, 0, 8, 0, 3, 0, 0, 1},
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{7, 0, 0, 0, 2, 0, 0, 0, 6},
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{0, 6, 0, 0, 0, 0, 2, 8, 0},
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{0, 0, 0, 4, 1, 9, 0, 0, 5},
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{0, 0, 0, 0, 8, 0, 0, 7, 9}};
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generateIncompleteGrid(grid);
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printf("The original Sudoku matrix:\n");
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print(board0);
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if (validate(board0)) {
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printf("True:Valid initial Sudoku matrix!\n");
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if (solve(board0)) {
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printf("Completed Sudoku Grid:\n");
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print(board0);
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} else {
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printf("No solution exists for this Sudoku.\n");
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}
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} else {
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printf("False:Invalid initial Sudoku matrix!\n");
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}
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return 0;
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}
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