马踏棋盘算法（骑士周游列国）

由于用的是效率比较低的枚举，为了避免程序运行时间太长，这里就改为6*6的棋盘

你也可以将宏定义中间的X和Y改为你想要的长和宽。。

/*
*  author: buer
*  github: buer0.github.com
*/

#include <stdio.h>
#include <stdlib.h>

#define X 6 //定义棋盘的行数
#define Y 6 //定义棋盘的列数
#define SUC 1
#define ERR 0

int getNext(int chess[][Y], int *x, int *y, int count)
{
    if(count>8)
    {
        return ERR;
    }
    switch(count)
    {
        case 1:
            if(*x+1>=X || *y-2<0 || chess[*x+1][*y-2] != 0)
            {
                return ERR;
            }
            *x += 1;
            *y -= 2;
            return SUC;
            break;
        case 2:
            if(*x+2>=X || *y-1<0 || chess[*x+2][*y-1] != 0)
            {
                return ERR;
            }
            *x += 2;
            *y -= 1;
            return SUC;
            break;
        case 3:
            if(*x+2>=X || *y+1>=Y || chess[*x+2][*y+1] != 0)
            {
                return ERR;
            }
            *x += 2;
            *y += 1;
            return SUC;
            break;
        case 4:
            if(*x+1>=X || *y+2>=Y || chess[*x+1][*y+2] != 0)
            {
                return ERR;
            }
            *x += 1;
            *y += 2;
            return SUC;
            break;
        case 5:
            if(*x-1<0 || *y+2>=Y || chess[*x-1][*y+2] != 0)
            {
                return ERR;
            }
            *x -= 1;
            *y += 2;
            return SUC;
            break;
        case 6:
            if(*x-2<0 || *y+1>=Y || chess[*x-2][*y+1] != 0)
            {
                return ERR;
            }
            *x -= 2;
            *y += 1;
            return SUC;
            break;
        case 7:
            if(*x-2<0 || *y-1<0 || chess[*x-2][*y-1] != 0)
            {
                return ERR;
            }
            *x -= 2;
            *y -= 1;
            return SUC;
            break;
        case 8:
            if(*x-1<0 || *y-2<0 || chess[*x-1][*y-2] != 0)
            {
                return ERR;
            }
            *x -= 1;
            *y -= 2;
            return SUC;
            break;
        default:
            return ERR;
            break;
         
    }
}

int travel(int chess[][Y], int x, int y, int tag)
{
    int i;
    int x1 = x;
    int y1 = y;
    if(tag > X*Y)
    { 
        return SUC;
    }
    
    for(i=1; i<=8; i++)
    {
        if( getNext(chess, &x1, &y1, i) )
        {
            chess[x1][y1] = tag;
            
            if( travel(chess, x1, y1, tag+1) )
            {
                return SUC;
            }else {
                chess[x1][y1] = 0;
                x1 = x;
                y1 = y;
            }
        }
    }
    
    return ERR;
}

void printChess(int chess[][Y])
{
    int i, j;
    
    for(i=0;i<X;i++)
    {
        for(j=0;j<Y;j++)
        {
            printf("%2d ", chess[i][j]);
        }
        printf("
");
    }
    printf("
");
}

int main(int argc, char *argv[])
{
    int chess[X][Y];
    int i,j,res;
    
    for(i=0;i<X;i++)
    {
        for(j=0;j<Y;j++)
        {
            chess[i][j] = 0;
        }
    }
    
    chess[2][0] = 1;
    res = travel(chess, 2, 0, 2);
    if(res == SUC)
    {
        printf("success
");
        printChess(chess);
        
    }else {
        printf("failed");
    }
    return 0;
}

运行结果：