#include<stdio.h>
#include<string.h>
#include<iostream>
#include<algorithm>
#include<vector>
#include<queue>
using namespace std;
const int inf =(int)1e9+7;
struct node{
int d,v,i;
}p[111111];
int pre[111111],nxt[111111];
bool cmp(const node &a,const node &b){return a.d<b.d;}
struct fs{
int fm,fz;
fs(){}fs(int _fz,int _fm){fz=_fz;fm=_fm;}
bool operator < (const fs &a)const{return 1ll*fz*a.fm<1ll*a.fz*fm;}
bool operator > (const fs &a)const{return 1ll*fz*a.fm>1ll*a.fz*fm;}
};
struct ban{
int a,b;fs t;
ban(){}ban(int _a,int _b,fs _t){a=_a;b=_b;t=_t;}
bool operator < (const ban &x)const{return t>x.t;}
};
int n,l;
priority_queue<ban>q;
fs get_t(const node &a,const node &b){
int dv=a.v-b.v,dd=b.d-a.d;
if(dd<0)dd+=l;
if(dv<0){
dv=-dv;
dd=l-dd;
}
if(dv==0)return fs(inf,1);
int gg=__gcd(dv,dd);
return fs(dd/gg,dv/gg);
}
int mark[111111];
int main()
{
int t;
scanf("%d",&t);
while(t--){
scanf("%d%d",&n,&l);
for(int i=0;i<n;i++)mark[i]=0;
for(int i=0;i<n;i++)scanf("%d",&p[i].d),p[i].i=i;
for(int i=0;i<n;i++)scanf("%d",&p[i].v);
sort(p,p+n,cmp);
for(int i=0;i<n;i++){
nxt[i]=(i+1)%n;
pre[i]=(i-1+n)%n;
q.push(ban(i,nxt[i],get_t(p[i],p[nxt[i]])));
}
int rud=n;
fs ans;
while(!q.empty()){
ban now=q.top();q.pop();
if(mark[now.a]||mark[now.b])continue;
rud--;
if(rud==1){
ans=now.t;
break;
}
if(p[now.a].i>p[now.b].i){
mark[now.b]=1;
nxt[now.a]=nxt[now.b];
pre[nxt[now.a]]=now.a;
q.push(ban(now.a,nxt[now.a],get_t(p[now.a],p[nxt[now.a]])));
}
else {
mark[now.a]=1;
pre[now.b]=pre[now.a];
nxt[pre[now.b]]=now.b;
q.push(ban(pre[now.b],now.b,get_t(p[now.b],p[pre[now.b]])));
}
}
printf("%d/%d\n",ans.fz,ans.fm);
while(!q.empty())q.pop();
}
return 0;
}
HDU 6136 Death Podracing(优先队列+循环链表)
最新推荐文章于 2017-09-26 14:21:50 发布