#include<stdio.h>
#include<time.h>
#define X 8
#define Y 8
int chess[X][Y];
//找到基于(x,y)位置的下一个可走的位置
int nextxy(int *x,int *y,int count)
{
switch(count)
{
case 0:
if(*x+2<=X-1&& *y-1>=0&&chess[*x+2][*y-1]==0)
{
*x+=2;
*y-=1;
return 1;
}
break;
case 1:
if(*x+2<=X-1&& *y+1<=Y-1&&chess[*x+2][*y+1]==0)
{
*x+=2;
*y+=1;
return 1;
}
break;
case 2:
if(*x+1<=X-1&& *y-2>=0&&chess[*x+1][*y-2]==0)
{
*x+=1;
*y-=2;
return 1;
}
break;
case 3:
if(*x+1<=X-1&& *y+2<=Y-1&&chess[*x+1][*y+2]==0)
{
*x+=1;
*y+=2;
return 1;
}
break;
case 4:
if(*x-1>=0&& *y-2>=0&&chess[*x-1][*y-2]==0)
{
*x-=1;
*y-=2;
return 1;
}
break;
case 5:
if(*x-1>=0&& *y+2<=Y-1&&chess[*x-1][*y+2]==0)
{
*x-=1;
*y+=2;
return 1;
}
break;
case 6:
if(*x-2>=0&& *y-1>=0&&chess[*x-2][*y-1]==0)
{
*x-=2;
*y-=1;
return 1;
}
break;
case 7:
if(*x-2>=0&& *y+1<=Y-1&&chess[*x-2][*y+1]==0)
{
*x-=2;
*y+=1;
return 1;
}
break;
default:
break;
}
return 0;
}
void print()
{
int i,j;
for(i=0;i<X;i++)
{
for(j=0;j<Y;j++)
{
printf("%2d\t",chess[i][j]);
}
printf("\n");
}
printf("\n");
}
//深度优先遍历棋盘
//(x,y)为位置坐标
//tag是标记变量,每走一步,tag+1
int TravelChessBoard(int x,int y,int tag)
{
int x1=x, y1=y, flag=0 , count=0;
chess[x][y] =tag;
if( X*Y == tag )
{
//打印棋盘
print();
return 1;
}
//找到马的下一个可走的坐标(x1,y1),如果找到flag=1,否则为0
flag = nextxy(&x1,&y1,count);
while( 0 == flag && count < 7)
{
count++;
flag = nextxy(&x1,&y1,count);
}
while ( flag )
{
if( TravelChessBoard(x1,y1,tag+1) )
{
return 1;
}
//继续找到马的下一步可走的坐标(x1,y1),如果找到flag=1,否则为0
x1=x;
y1=y;
count++;
flag = nextxy(&x1,&y1,count);
while( 0 == flag && count < 7)
{
count++;
flag = nextxy(&x1,&y1,count);
}
}
if( 0 == flag)
{
chess[x][y] = 0;
}
return 0;
}
int main()
{
int i, j;
clock_t start,finish;
start=clock();
for( i=0; i < X; i++ )
{
for( j=0; j < Y; j++)
{
chess[i][j] = 0;
}
}
if(!TravelChessBoard(0,0,1))
{
printf("抱歉,马踏棋盘失败!\n");
}
finish=clock();
printf("本次计算一共耗时:%f秒\n\n",(double)(finish-start)/CLOCKS_PER_SEC);
return 0;
}