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#include <iostream>
#include <iomanip>
using namespace std;
int check_Num(int,int);
int check_Line(int ,int );
int check_Table(int ,int,int);
int check_Column(int ,int );
int check_EachLine_Num(int,int,int);
int check_column_table(int ,int ,int );
int check_column_num_zero(int ,int );
int check_column_samenum(int ,int );
int check_which_table_line(int ,int ,int );
int check_which_table_column(int ,int ,int );
void check_only_line(int p);
void check_only_col(int q);
void check_nine_table(int m,int n);
void check_only_two(int i,int j);
int checkSame_two_table(int t,int x,int y);
int A[9][9] =
{
{1,0,0,8,3,0,0,0,2},
{5,7,0,0,0,1,0,0,0},
{0,0,0,5,0,9,0,6,4},
{7,0,4,0,0,8,5,9,0},
{0,0,3,0,1,0,4,0,0},
{0,5,1,4,0,0,3,0,6},
{3,6,0,7,0,4,0,0,0},
{0,0,0,6,0,0,0,7,9},
{8,0,0,0,5,2,0,0,3}
};
int row,column, rowc,columnc;
int c[3]={0};
int d[3]={0};
//int g[3]={0};
int NO=0;
int e[3]={0};
int f[3] ={0};
int h[3]={0};
int main()
{
for(int w=0;w<3;w++){
cout<<"%%%%%%%%%%%%"<<endl;
for(int v=0;v<3;v++){
for(int i=0;i<9;i++){
for(int j=0;j<9;j++){
int num = check_Num(A[i][j],i);
if(A[i][j]!=0&&num==2){
// if(num==2){
for(int k =0;k<3;k++){
c[k] = check_Line(A[i][j],3*(i/3)+k);
d[k] = check_Table(A[i][j],i,k);
}
for(int k=0;k<3;k++){
//cout<<c[k]<<" "<<d[k]<<endl;
if(c[k]<0)
row = 3*(i/3)+k;
if(d[k]<0)
column = k;
}
for(int b = 3*column;b<3*column+3;b++){
int bool_value = check_Column(A[i][j],b);
int zero_num= check_which_table_line(A[i][j],row, column);
if(A[row][b]==0&&bool_value<0&&zero_num==1){
A[row][b] = A[i][j];
}
}
}
}
}
for(int i=0;i<9;i++){
for(int j=0;j<9;j++){
int num_same= check_column_samenum(A[i][j],j);
if(A[i][j]!=0&&num_same==2){
for(int k = 0;k<3;k++){
e[k] = check_column_table(A[i][j],k,j);
f[k]= check_Column(A[i][j],(3*(j/3))+k);
}
for(int k=0;k<3;k++){
if(e[k]<0)
rowc =k;
if(f[k]<0)
columnc=3*(j/3)+k;
}
for(int h= 3*rowc;h<3+3*rowc;h++){
int bool_value = check_Line(A[i][j],h);
int zero_col_num = check_which_table_column(A[i][j],rowc,columnc);
if(A[h][columnc]==0&&bool_value<0&&zero_col_num==1){
A[h][columnc]=A[i][j];
}
}
}
}
}
}
// the method of only one
for(int t=0;t<3;t++){
for(int w=0;w<9;w++){
check_only_line(w);
}
for(int w=0;w<9;w++){
check_only_col(w);
}
for(int s=0;s<3;s++){
for(int d=0;d<3;d++){
check_nine_table(s,d);
}
}
}
//the methond of only two
for(int t=0;t<3;t++){
for(int i=0;i<9;i++){
for(int j=0;j<9;j++){
if(A[i][j]==0){
check_only_two(i,j);
}
}
}
}
for(int i=0;i<9;i++){
for(int j=0;j<9;j++){
NO++;
if(NO%9==1)
cout<<endl;
cout<<setw(2)<<A[i][j]<<" ";
}
cout<<" "<<endl;
}
}
// do judgement to check wehcher the array is right
return 0;
}
//check firse three table ,the same number is >2
int check_Num(int t,int x){
int counter=0;
int r = x/3;
for(int m=3*r;m<3*r+3;m++){
for(int n=0;n<9;n++){
if(A[m][n]==t){
counter++;
}
}
}
//cout<<t<<" "<<counter<<" "<<r<<endl;
return counter;
}
//check whick line deesn't have corruent number
int check_Line(int t,int m){
//if(t==0)
//return 0;
for(int n =0;n<9;n++){
if(A[m][n]==t){
//cout<<"found "<<t<<" "<<endl;
return 1;
}
}
// cout<<"no same "<< t<<" "<<endl;
return -1;
}
//check which table have the corruent number
int check_Table(int t,int m,int n){
int r = m/3;
for(int p = 3*r;p<3*r+3;p++){
for(int q =3*n;q<3+3*n;q++){
if(A[p][q]==t){
// cout<<"9gongge "<<t<<" "<<p<<" "<<q<<endl;
return 1;
}}
}
//cout<<"9gongge,not found "<<t<<" "<< r<<endl;
return -1;
}
//check the corruent col have same number
int check_Column(int t,int m){
for(int i =0;i<9;i++){
if(A[i][m]== t){
//cout<<"found column "<<t<<" "<<m<<" "<<i<<endl;
return 1;
}
}
//cout<<"not found "<<t<<" "<<m<<endl;
return -1;
}
int check_EachLine_Num(int t,int r,int c){
int zero_number=0;
for(int p=3*c;p<3*c+3;p++){
if(A[r][p]==0){
zero_number++;
//cout<< "before "<< t<<" "<<zero_number<<endl;
}
for(int q=0;q<9;q++){
if(A[q][p]==t)
zero_number--;
}
}
// cout<<"after"<< t<<" "<<zero_number<<endl;
return zero_number;
}
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