parent
ef30b22d71
commit
b97df8ab74
@ -1,116 +0,0 @@
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#include <stdio.h>
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int correct(int board[9][9]){
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int col[9]={0},row[9]={0},block[9]={0};
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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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int index=1<<(board[i][j]-1);
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int blockindex=i/3*3+j/3;
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if(board[i][j]!=0){
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if(row[i]&index){
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printf("False:Invalid initial Sudoku matrix!\n");
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printf("The number %d in the row %d has been used!",board[i][j],i+1);
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return 0;
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}
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row[i]=index;
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if(col[j]&index){
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printf("False:Invalid initial Sudoku matrix!\n");
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printf("The number %d in the rol %d has been used!",board[i][j],j+1);
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return 0;
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}
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col[j]=index;
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if(block[blockindex]&index){
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printf("False:Invalid initial Sudoku matrix!\n");
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printf("The number %d in the block %d has been used!",board[i][j],blockindex+1);
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return 0;
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}
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block[blockindex]=index;
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}
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}
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}
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printf("True:Valid initial Sudoku matrix!\n");
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return 1;
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}
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int isSafe(int board[9][9], int row, int col, int num) {
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int x,i,j;
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for (x = 0; x <= 8; x++)
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if (board[row][x] == num)
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return 0;
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for (x = 0; x <= 8; x++)
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if (board[x][col] == num)
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return 0;
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int sRow = row - row % 3, sCol = col - col % 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 (board[i + sRow][j + sCol] == num)
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return 0;
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return 1;
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}
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int solve(int board[9][9]){
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int num;
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int i=0,j=0;
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for(i=0;i<9;i++){
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for(j=0;j<9;j++){
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if(board[i][j]==0){
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for(num=1;num<=9;++num){
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if(isSafe(board,i,j,num)){
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board[i][j]=num;
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if(solve(board)){
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return 1;
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}
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board[i][j]=0;
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}
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}
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return 0;
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}
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}
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}
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return 1;
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}
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void print(int board[9][9]){
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printf("|---|---|---|---|---|---|\n");
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int i=0,j=0,s=0,k=0;
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for(i=0;i<9;++i){
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for(j=0;j<9;j++){
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while(j%3==0){
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printf("| ");
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break;
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}
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printf("%d ",board[i][j]);
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}
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printf("|\n");
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while((i+1)%3==0){
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printf("|---|---|---|---|---|---|\n");
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break;
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}
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}
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}
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int main(){
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int board1[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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printf("The original Sudoku matrix:\n");
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print(board1);
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if(correct(board1)){
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if(solve(board1)){
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printf("The solution of Sudoku matrix:\n");
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print(board1);
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}else{
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printf("No solutions!\n");
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}
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}
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return 0;
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}
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