The King’s Walk （动规）

思路很重要，从x1,y1到x2,y2.

八向；

问最短步数的路径有几条。

#include <cstdio>
#include <iostream>
#include <cmath>
#include <cstring>
#include <cstdlib>
#include <algorithm>

using namespace std;
int now[5010],temp[5010];
int fun(int s,int r,int a,int b)
{
    memset(now,0,sizeof(now));
    memset(temp,0,sizeof(temp));
    now[a]=1;
    for (int i=0;i<s;i++)
    {
        for (int j=0;j<r;j++)
        {
            temp[j]=now[j];
            if (j>0) temp[j]=(temp[j]+now[j-1])%5318008;
            if (j<r-1) temp[j]=(temp[j]+now[j+1])%5318008;
        }
        for (int j=0;j<r;j++)
        {
            now[j]=temp[j]%5318008;
        }
    }
    return now[b];
}
int main()
{
//    #ifndef ONLINE_JUDGE
//    freopen("in.txt","r",stdin);
//    freopen("out.txt","r",stdout);
//    #endif
    int T;
    scanf ("%d",&T);
    while (T--)
    {
        int n,x1,y1,x2,y2;
        scanf ("%d%d%d%d%d",&n,&x1,&y1,&x2,&y2);
        int lx=abs(x2-x1),ly=abs(y2-y1);
        if (lx>ly)printf ("%d\n",fun(lx,n,y1-1,y2-1));
        else printf ("%d\n",fun(ly,n,x1-1,x2-1));
    }
    return 0;
}