马踏棋盘算法(骑士周游算法)

将马按照走步规则,走遍8*8棋盘。

#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 TracelChessBoard(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;
    }

        //找到马可走的下一步坐标(x1,y1),如果找到flag+1
    flag=nextxy(&x1,&y1,count);
    while (0==flag&&count<7)
    {
        count++;
        flag=nextxy(&x1,&y1,count);
    }
    while(flag)
    {
        if(TracelChessBoard(x1,y1,tag+1))
        {
            return 1;
        }
        //继续找到马可走的下一步坐标(x1,y1),如果找到flag+1
        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;
}
void 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(!TracelChessBoard(2,0,1))
    {
        printf("失败");
    }
    finish=clock();
    printf("\n耗时:%f\n",(double)(finish-start)/CLOCKS_PER_SEC);
}

《马踏棋盘算法(骑士周游算法)》

    原文作者:骑士周游问题
    原文地址: https://blog.csdn.net/a962035/article/details/82528030
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