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#include <stdio.h>
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#include <stdbool.h>
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#define SIZE 9
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// <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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bool isValidSudoku(int grid[SIZE][SIZE]);
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void findInvalidReason(int grid[SIZE][SIZE]);
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void print(int matrix[9][9]);
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int main() {
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int sudoku[SIZE][SIZE] = { {8, 3, 0, 0, 5, 0, 0, 0, 0},
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{1, 0, 0, 0, 0, 9, 0, 4, 0},
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{0, 0, 6, 0, 0, 0, 7, 0, 2},
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{3, 0, 0, 2, 4, 0, 0, 0, 0},
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{0, 0, 0, 6, 1, 9, 5, 0, 0},
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{0, 0, 0, 8, 1, 7, 0, 0, 6},
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{0, 0, 0, 6, 2, 0, 0, 7, 0},
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{0, 9, 4, 0, 0, 5, 0, 0, 0},
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{0, 8, 0, 3, 8, 0, 1, 0, 0}};
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printf("The original Sudoku matrix: \n");
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print(sudoku);
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if (isValidSudoku(sudoku)) {
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printf("True:Valid initial Sudoku matrix!\n");
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} else {
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printf("False:Invalid initial Sudoku matrix!\n");
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findInvalidReason(sudoku);
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}
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return 0;
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}
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void printSudoku(int grid[SIZE][SIZE]) {
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int i, j;
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for (i = 0; i < SIZE; i++) {
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for (j = 0; j < SIZE; j++) {
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printf("%2d ", grid[i][j]);
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if (j % 3 == 2) printf("|");
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}
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printf("\n");
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if (i % 3 == 2) {
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printf("---------------------\n");
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}
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}
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}
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bool isValidSudoku(int grid[SIZE][SIZE]) {
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int rows[SIZE][SIZE] = {0}, cols[SIZE][SIZE] = {0}, boxes[SIZE][SIZE] = {0};
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int i, j, num;
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for (i = 0; i < SIZE; i++) {
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for (j = 0; j < SIZE; j++) {
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if (grid[i][j] != 0) {
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num = grid[i][j] - 1;
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if (++rows[i][num] > 1 || ++cols[j][num] > 1 || ++boxes[i / 3 * 3 + j / 3][num] > 1) {
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return false;
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}
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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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void findInvalidReason(int grid[SIZE][SIZE]) {
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int rows[SIZE][SIZE] = {0}, cols[SIZE][SIZE] = {0}, boxes[SIZE][SIZE] = {0};
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int i, j, num;
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for (i = 0; i < SIZE; i++) {
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for (j = 0; j < SIZE; j++) {
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if (grid[i][j] != 0) {
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num = grid[i][j] - 1;
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rows[i][num]++;
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cols[j][num]++;
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boxes[i / 3 * 3 + j / 3][num]++;
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}
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}
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}
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for (i = 0; i < SIZE; i++) {
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for (j = 0; j < SIZE; j++) {
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if (grid[i][j] != 0) {
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num = grid[i][j] - 1;
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if (rows[i][num] > 1) {
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printf("The number %d in the row %d has been used!\n", grid[i][j], i + 1);
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return;
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} else if (cols[j][num] > 1) {
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printf("The number %d in the col %d has been used!\n", grid[i][j], j + 1);
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return;
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} else if (boxes[i / 3 * 3 + j / 3][num] > 1) {
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printf("The number %d in the block %d has been used!\n", grid[i][j], (i / 3) * 3 + (j / 3) + 1);
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return;
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}
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}
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}
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}
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}
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//<2F><>ʽ<EFBFBD><CABD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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void print(int matrix[9][9]) {
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int i, j;
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printf("|-----------------------------|\n");
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for (i = 0; i < SIZE; i++) {
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printf("|");
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for (j = 0; j < SIZE; j++) {
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printf("%2d ", matrix[i][j]);
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if ((j + 1) % 3 == 0) printf("|");
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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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printf("|-----------------------------|\n");
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}
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