1827:【01NOIP提高组】Car的旅行路线

哇这些真题终于正经起来奥

刚看这道题很不自信觉得自己肯定不能建图成功甚至想过用贪心。。

后来一想发现建图还是蛮容易的,AI我是真的蠢

话说一本通真的很坑啊,把原题的保留1位改成了2

我把在洛谷AC的代码交上去查了好久才发现。。

(话说为什么把读入优化换成scanf效率快了一千倍。。)

#include<bits/stdc++.h>
using namespace std;
const int maxn=105;
int n,s,t,A,B,T[maxn<<2];
double dis[maxn<<2];
bool book[maxn<<2];
/*inline int read()
{
    int x=0,f=1;char ch=getchar();
    while(ch<'0'||ch>'9') if(ch=='-') f=-1,ch=getchar();
    while(ch>='0'&&ch<='9') x=(x<<3)+(x<<1)+ch-'0',ch=getchar();
    return x*f;
}*/
struct data{
    int city;
    int x,y;
}a[maxn<<2];
inline int power_2(int x)
{
    return x*x;
}
void getlast(int x1,int y1,int x2,int y2,int x3,int y3,int i)
{
    int x4,y4;
    int dis1=power_2(x1-x2)+power_2(y1-y2),
        dis2=power_2(x1-x3)+power_2(y1-y3),
        dis3=power_2(x2-x3)+power_2(y2-y3);
    if(dis2==dis1+dis3) x4=x3-x2+x1,y4=y3+y1-y2;
    if(dis1==dis2+dis3) x4=x2-x3+x1,y4=y2+y1-y3;
    if(dis3==dis1+dis2) x4=x3-x1+x2,y4=y3+y2-y1;
    a[i+3].x=x4;a[i+3].y=y4;
}//这道题目唯一需要注意的点大概就是这个求第四个点
inline double distance(int x1,int y1,int x2,int y2)
{
    return sqrt(power_2(x1-x2)+power_2(y1-y2));
}
void SPFA()
{
    memset(book,0,sizeof(book));
    queue <int> q;
    for(int i=1;i<=s<<2;i++) dis[i]=99999999;
    for(int i=A*4-3;i<=A*4;i++) dis[i]=0,q.push(i),book[i]=1;
    while(!q.empty())
    {
        int u=q.front();q.pop();book[u]=0;
        for(int i=1;i<=s<<2;i++)
        {
            if(i==u) continue;
            double cost=distance(a[i].x,a[i].y,a[u].x,a[u].y);
            if(a[i].city==a[u].city) cost*=T[a[i].city];
            else cost*=t;
            if(dis[i]>dis[u]+cost)
            {
                dis[i]=dis[u]+cost;
                if(!book[i]) 
                {
                    book[i]=1;
                    q.push(i);
                }
            }
         }
    }
}
void init()
{
    //memset(t,0,sizeof(t));
    memset(a,0,sizeof(a));
    scanf("%d%d%d%d",&s,&t,&A,&B);
    int i;
    for(i=1;i<=s<<2;i+=4)
    {
        //int x1,x2,x3,y1,y2,y3;
        scanf("%d%d%d%d%d%d%d",&a[i].x,&a[i].y,&a[i+1].x,&a[i+1].y,&a[i+2].x,&a[i+2].y,&T[i/4+1]);
        a[i].city=a[i+1].city=a[i+2].city=a[i+3].city=i/4+1;
        getlast(a[i].x,a[i].y,a[i+1].x,a[i+1].y,a[i+2].x,a[i+2].y,i);
    }
}
int main()
{
    scanf("%d",&n);
    int i;
    for(i=1;i<=n;i++)
    {
        init();
        SPFA();
        double ans=dis[B<<2];
        for(int j=B*4-3;j<B*4;j++) if(ans>dis[j]) ans=dis[j];
        printf("%.2lf
",ans);
    }    
    return 0;
}
原文地址:https://www.cnblogs.com/smartljy/p/11734382.html