forked from p8lxtapfy/matrix
parent
c484984228
commit
5a3a26d966
@ -0,0 +1,130 @@
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#include<stdio.h>
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#include<time.h>
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#include<stdlib.h>
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int checkMatrix(int matrixArr[9][9], int isPrintInfo){
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int rowCnt[9][10]={0};
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int colCnt[9][10]={0};
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int bloCnt[9][10]={0};
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for(int i=0;i<9;i++){
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for(int j=0;j<9;j++){
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if(matrixArr[i][j]!=0){
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rowCnt[i][matrixArr[i][j]]++;
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if(rowCnt[i][matrixArr[i][j]]>1){
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if(isPrintInfo){
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printf("\nFalse:Invalid initial Sudoku matrix!");
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printf("\nThe number %d in the row %d has been used!",matrixArr[i][j],i+1);
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}
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return 0;
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}
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colCnt[j][matrixArr[i][j]]++;
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if(colCnt[j][matrixArr[i][j]]>1){
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if(isPrintInfo){
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printf("\nFalse:Invalid initial Sudoku matrix!");
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printf("\nThe number %d in the col %d has been used!",matrixArr[i][j],j+1);
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}
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return 0;
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}
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bloCnt[i/3*3+j/3][matrixArr[i][j]]++;
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if(bloCnt[i/3*3+j/3][matrixArr[i][j]]>1){
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if(isPrintInfo){
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printf("\nFalse:Invalid initial Sudoku matrix!");
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printf("\nThe number %d in the block %d has been used!",matrixArr[i][j],i/3*3+j/3+1);
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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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}
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if(isPrintInfo){
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printf("\nTrue:Valid initial Sudoku matrix!");
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}
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return 1;
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}
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void matrixOutput(int matrixArr[9][9])
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{
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for (int i = 0; i < 9; i++)
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{
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for (int j = 0; j < 9; j++)
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{
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printf("%d", matrixArr[i][j]);
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if (j != 8)
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printf(" ");
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}
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if (i != 8)
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printf("\n");
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}
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}
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int fillMatrix(int matrixArr[9][9], int row, int col){
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if(row==9){
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return 1;
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}
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if(col==9){
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return fillMatrix(matrixArr,row+1,0);
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}
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if(matrixArr[row][col]!=0){
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return fillMatrix(matrixArr, row, col+1);
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}
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for(int i=1;i<=9;i++){
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matrixArr[row][col]=i;
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if(checkMatrix(matrixArr,0)){
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if(fillMatrix(matrixArr,row,col+1)){
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return 1;
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}
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matrixArr[row][col]=0;
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}else{
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matrixArr[row][col]=0;
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}
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}
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return 0;
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}
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int main()
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{
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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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int board1[9][9] = {{8, 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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int board2[9][9] = {{5, 2, 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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matrixOutput(board0);
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if (checkMatrix(board0, 1))
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{
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if (fillMatrix(board0, 0, 0))
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{
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printf("\nThe solution of Sudoku matrix:\n");
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matrixOutput(board0);
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}
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else
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{
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printf("\nNo solution!");
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}
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}
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else
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{
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printf("\nNo solution!");
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}
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return 0;
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}
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