在苦苦熬了两天两夜之后,我的程序终于有点成形了!虽然还不能解决所有的数独问题(像有只靠‘三三定为
法,唯一法都还无法解决的)。我的程序好长,一点也不简短!但是也是我一个字敲出来的!现在贴出来与大
家分享!希望有人能够帮我解决我还没有解决的问题或者提一个建议!
你的鼓励就是前进的动力!
#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_line(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);
int A[9][9] =
{
{1,2,0,0,0,3,4,0,5},
{3,0,6,0,5,0,0,8,0},
{0,4,0,2,0,0,0,0,7},
{0,0,7,0,1,0,0,0,8},
{0,6,0,5,0,2,0,3,0},
{5,0,0,0,8,0,9,0,0},
{7,0,0,0,0,1,0,9,0},
{0,8,0,0,4,0,1,0,3},
{9,0,1,7,0,0,0,5,4}
};
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<10;w++){
cout<<"%%%%%%%%%%%%"<<endl;
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_line(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];
}
}
}
}
}
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);
}
}
}
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;
}
}
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;
}
int check_column_table(int t,int m,int n){
int col= n/3;
for(int p=3*m;p<3*m+3;p++){
for(int q= 3*col;q<3*col+3;q++){
if(A[p][q]==t){
// cout<<t<<" "<<p<<" "<<q<<endl;
return 1;
}}
}
//cout<<"no found"<<t<<" "<<col<<endl;
return -1;
}
int check_column_line(int t,int l){
for(int p=0;p<9;p++){
if(A[p][l]== t){
// cout<< t<<" "<<p<<" "<< l<<endl;
return 1;
}
}
return -1;
}
int check_column_num_zero(int r,int l){
int num_col_zero =0;
for(int m = 3*r;m<3*r+3;m++){
if(A[m][l]==0){
num_col_zero++;
}
}
//cout<<"number_zero "<<num_col_zero<<endl;
return num_col_zero;
}
int check_column_samenum(int t,int r){
int c = r/3;
int col_same_num=0;
for(int i =0;i<9;i++){
for(int j=3*c;j<3+3*c;j++){
if(A[i][j]==t){
col_same_num++;
}}}
//cout<<"same num "<<t<<" "<<col_same_num<<endl;
return col_same_num;
}
int check_which_table_line(int t,int r,int c){
int counter_zero =0;
for(int p = 3*c;p<3+3*c;p++){
if(A[r][p]==0){
counter_zero++;
for(int q=0;q<9;q++){
if(A[q][p]==t)
counter_zero--;
}}}
return counter_zero;
}
int check_which_table_column(int t,int r,int c){
int counter_zero=0;
for(int p =3*r;p<3+3*r;p++){
if(A[p][c]==0){
counter_zero++;
for(int q=0;q<9;q++){
if(A[p][q]==t)
counter_zero--;
}}}
return counter_zero;
}
void check_only_line(int p){
int sum=45;
int counter=0;
for(int q=0;q<9;q++){
if(A[p][q]==0){
counter++;
}}
for(int k=0;k<9;k++){
if(counter==1&&A[p][k]!=0)
sum= sum-A[p][k];
}
if(counter==1){
for(int m=0;m<9;m++){
if(A[p][m]==0)
A[p][m]= sum;
}}
}
void check_only_col(int q){
int sum=45;int counter=0;
for(int p=0;p<9;p++){
if(A[p][q]==0){
counter++;
}}
for(int k=0;k<9;k++){
if(counter==1&&A[k][q]!=0)
sum-=A[k][q];
}
if(counter==1){
for(int m=0;m<9;m++){
if(A[m][q]==0)
A[m][q]=sum;
}}
}
void check_nine_table(int m,int n){
int sum=45;int counter=0;
for(int p=3*m;p<3*m+3;p++){
for(int q=3*n;q<3*n+3;q++){
if(A[p][q]==0)
counter++;}
}
if(counter==1){
for(int j=3*m;j<3*m+3;j++){
for(int k=3*n;k<3*n+3;k++){
if(A[j][k]!=0)
sum-=A[j][k];
}
}}
if(counter==1){
for(int p=3*m;p<3*m+3;p++){
for(int q=3*n;q<3*n+3;q++){
if(A[p][q]==0)
A[p][q]=sum;
}}
}
}
这个程序的运行结果是:
1 2 9 8 7 3 4 6 5
3 7 6 1 5 4 2 8 9
8 4 5 2 6 9 3 1 7
2 9 7 3 1 6 5 4 8
4 6 8 5 9 2 7 3 1
5 1 3 4 8 7 9 2 6
7 5 4 6 3 1 8 9 2
6 8 2 9 4 5 1 7 3
9 3 1 7 2 8 6 5 4
可惜的是像这种得数独:
{3,0,0,0,0,5,1,0,9},
{0,0,0,0,1,0,6,7,0},
{1,0,6,4,0,0,0,0,0},
{5,2,1,0,0,8,0,0,7},
{8,4,7,5,9,1,3,2,0},
{6,0,0,7,0,0,8,5,1},
{0,0,0,0,0,6,2,1,0},
{0,1,8,0,5,0,0,0,0},
{2,6,0,1,0,0,0,0,8}
这种跑出来的结果是:
3 0 0 0 0 5 1 0 9
0 0 0 0 1 0 6 7 0
1 0 6 4 0 0 0 0 0
5 2 1 0 0 8 0 0 7
8 4 7 5 9 1 3 2 6
6 0 0 7 0 0 8 5 1
0 0 0 0 0 6 2 1 0
0 1 8 0 5 0 0 6 0
2 6 0 1 0 0 0 0 8
好像什么也不做!这让我好郁闷·但我知道问题出在哪里,只是这个我很在考虑中!两天熬下来,真的让我疲
惫!欢迎大家提个意见如果碰到每一行或者列支剩下两个空没有填出来,有什么好的方法?QQ:331387429
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