马的遍历问题-问题分析

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#include<stdio.h>
int a[100][100] = {0};
int tot;
int check(int n, int m)
{
    if(a[n][m]==0)
        return 1;
    else
        return 0;
}
int sb(int n, int m, int s, int I, int J)
{
    int i, j, N, M;
    if(s == n*m+1)
    {
        tot++;
        printf("%d\n", tot);
        for(N=0; N<n; N++)
        {
            for(M=0; M<m; M++)
                printf("%3d ", a[N][M]);
            printf("\n");
        }
    }
    else
    {
        if(s == 1)
        {
            for(i=0; i<n; i++)
            for(j=0; j<m; j++)
            {
                a[i][j] = s;
                sb(n, m, s+1, i, j);
                a[i][j] = 0;
            }
        }
        if(s>1)
        {
            for(i=0; i<n; i++)
            for(j=0; j<m; j++)
            {
                if(((i==I+2)&&(j==J+1))||((i==I+2)&&(j==J-1))||
                   ((i==I+1)&&(j==J+2))||((i==I-1)&&(j==J+2))||
                   ((i==I-2)&&(j==J+1))||((i==I-2)&&(j==J-1))||
                   ((i==I-1)&&(j==J-2))||((i==I+1)&&(j==J-2)))
                    if(check(i, j))
                    {
                        a[i][j] = s;
                        sb(n, m, s+1, i, j);
                        a[i][j] = 0;
                    }
            }
        }
    }
}
int main()
{
    int i, j, n, m;
    while(scanf("%d%d", &n, &m)!=EOF && n!=0)
    {
        tot = 0;
        sb(n, m, 1, 0, 0);
    }
}
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