public
class
Queen{
//同栏是否有皇后,1表示有
private
int
[] column;
//右上至左下是否有皇后
private
int
[] rup;
//左上至右下是否有皇后
private
int
[] lup;
//解答
private
int
[] queen;
//解答编号
private
int
num;
public
Queen(){
column=
new
int
[
8
+
1
];
rup=
new
int
[(
2
*
8
)+
1
];
lup=
new
int
[(
2
*
8
)+
1
];
for
(
int
i=
1
;i<=
8
;i++)
column[i]=
0
;
for
(
int
i=
1
;i<=(
2
*
8
);i++)
rup[i]=lup[i]=
0
;
//初始定义全部无皇后
queen=
new
int
[
8
+
1
];
}
public
void
backtrack(
int
i){
if
(i>
8
){
showAnswer();
}
else
{
for
(
int
j=
1
;j<=
8
;j++){
if
((column[j]==
0
)&&(rup[i+j]==
0
)&&(lup[i-j+
8
]==
0
)){
//若无皇后
queen[i]=j;
//设定为占用
column[j]=rup[i+j]=lup[i-j+
8
]=
1
;
backtrack(i+
1
);
//循环调用
column[j]=rup[i+j]=lup[i-j+
8
]=
0
;
}
}
}
}
protected
void
showAnswer(){
num++;
System.out.println(
"\n解答"
+num);
for
(
int
y=
1
;y<=
8
;y++){
for
(
int
x=
1
;x<=
8
;x++){
if
(queen[y]==x){
System.out.print(
"Q"
);
}
else
{
System.out.print(
"."
);
}
}
System.out.println();
}
}
public
static
void
main(String[]args){
Queen queen=
new
Queen();
queen.backtrack(
1
);
}
}