URAL 1085 Meeting(最短路)
Meeting
Memory limit: 64 MB
friends has decided to meet in order to celebrate their victory at the
programming contest. Unfortunately, because of the tickets rise in price
there is a problem: all of them live in different parts of the city,
and they are to choose a place of meeting so that they wouldn't pay too
much for the tickets. You are to help them make the best choice.
tram routes in the city (the friends take only trams and do not go on
foot from stop to stop). For each route numbers of its stops are known.
For each friend we know an amount of money he has and whether he has a
month tram ticket. A ticket price equals 4 rubles.
are to find out a stop number, such that all of the friends might come
there and the sum of money they spend for their tramps would be minimal.
Naturally, they may change routes (it means that each one may make
changes on his way to the required stop). Note, that changing the route
one has to pay for a new ticket: the friends are honest people — they do
always pay for tickets. Everyone pays for a ticket from his own money.
No one is to leave money for the return tickets.
Input
integers defining stops numbers of the route follow. The numbers are
separated with a space. A route is defined by its stops along the line
in one direction.
The next line contains an integer K (1 ≤ K ≤ 100), that is an amount of friends. The next K
lines contain information about each of them (one line for one person):
there is a positive integer in the beginning of a line that is an
amount of money (in rubles) the person has, then a number of a stop that
he goes there from his home on foot, then 0 (if this person has no
month ticket) or 1 (if he has). The numbers in a line are separated with
a space. No one of the friends has more than 1000 rubles.
Output
a number of a stop that is a meeting
point (if there are several numbers choose the minimal one) and a total
sum of money (in rubles) that the friends has paid for their trips to
the appointed place. The numbers should be separated with a space. If
the friends won't be able to meet at one stop, output the only number 0.
Sample
input | output |
---|---|
4 3 |
4 12 |
#include <iostream>
#include <cstring>
#include <cstdio>
#include <algorithm>
#include <cmath>
#include <string>
#include <map>
#include <stack>
#include <queue>
#include <vector>
#define inf 0x3f3f3f3f
#define met(a,b) memset(a,b,sizeof a)
#define pb push_back
typedef long long ll;
using namespace std;
const int N = 1e3+;
const int M = +;
const int mod=1e9+;
int n=,m,k,tot=,t;
int head[N],vis[N],in[N],sum[N];
int s[N],dis[N][N],mo[N];
vector<int>vec,vv[N];
void Floyd(){
for(int k=;k<=n;k++){
for(int i=;i<=n;i++){
for(int j=;j<=n;j++){
if(dis[i][k]!=inf&&dis[k][j]!=inf&&dis[i][j]>dis[i][k]+dis[k][j]){
dis[i][j]=dis[i][k]+dis[k][j];
}
}
}
}return;
}
int main()
{
met(dis,inf);
for(int i=;i<N;i++)dis[i][i]=;
int u,v;
scanf("%d%d",&n,&m);
while(m--){
scanf("%d",&k);
while(k--){
scanf("%d",&u);
vec.pb(u);
}
for(int i=;i<vec.size();i++){
for(int j=i+;j<vec.size();j++){
dis[vec[i]][vec[j]]=dis[vec[j]][vec[i]]=;
}
}vec.clear();
}
Floyd();
scanf("%d",&k);
for(int i=;i<=k;i++){
scanf("%d%d%d",&mo[i],&s[i],&vis[i]);
mo[i]/=;
}
int ans=inf;
for(int i=;i<=n;i++){
int sum=;
for(int j=;j<=k;j++){
if((!vis[j]&&mo[j]<dis[i][s[j]])||dis[i][s[j]]==inf){sum=inf;break;}
if(!vis[j]&&mo[j]>=dis[i][s[j]])sum+=dis[i][s[j]];
}
if(sum==inf)continue;
if(sum<ans){
ans=sum;vv[ans].pb(i);
}
else if(sum==ans&&ans!=inf)vv[ans].pb(i);
}
if(ans!=inf){sort(vv[ans].begin(),vv[ans].end()); printf("%d %d\n",vv[ans][],ans*);}
else printf("0\n");
return ;
}
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