zoj5718

Highway Project

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Time Limit: 2 Seconds      Memory Limit: 65536 KB

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Edward, the emperor of the Marjar Empire, wants to build some bidirectional highways so that he can reach other cities from the capital as fast as possible. Thus, he proposed the highway project.

The Marjar Empire has N cities (including the capital), indexed from 0 to N - 1 (the capital is 0) and there are M highways can be built. Building the i-th highway costs C_i dollars. It takes D_i minutes to travel between city X_i and Y_i on the i-th highway.

Edward wants to find a construction plan with minimal total time needed to reach other cities from the capital, i.e. the sum of minimal time needed to travel from the capital to city i (1 ≤i ≤ N). Among all feasible plans, Edward wants to select the plan with minimal cost. Please help him to finish this task.

Input

There are multiple test cases. The first line of input contains an integer T indicating the number of test cases. For each test case:

The first contains two integers N, M (1 ≤ N, M ≤ 10⁵).

Then followed by M lines, each line contains four integers X_i, Y_i, D_i, C_i (0 ≤ X_i, Y_i < N, 0 < D_i, C_i < 10⁵).

Output

For each test case, output two integers indicating the minimal total time and the minimal cost for the highway project when the total time is minimized.

Sample Input

2
4 5
0 3 1 1
0 1 1 1
0 2 10 10
2 1 1 1
2 3 1 2
4 5
0 3 1 1
0 1 1 1
0 2 10 10
2 1 2 1
2 3 1 2

Sample Output

4 3
4 4
题意：n个城市，0-n-1，0表示首都，在城市之间要修建一些高速公路（双向），建每条高速公路都有一些花费，以及通过该公路的时间，要求是
由0城市到其余n-1个城市总时间最短，然后花费最少，优先时间最短；
我的做法是dijstra+优先队列，按照总时间优先排序，次按照花费排序，同时更新到达i点的最小时间，最后将到达每一点的时间加和，的姐！
有一个坑，要用时间和花费和会爆long long
ac代码：
#include <iostream>
#include <stdio.h>
#include <string.h>
#include <queue>
using namespace std;
typedef long long LL;
const int maxn=100500,maxm=400550,inf=0x3f3f3f3f;
struct Edge
{
    int to,next,tim,cos ;
}edge[maxm*2];
struct Pair
{
    LL T,V,C;
    Pair(){;}
    Pair(LL t,LL c,LL v)
    {
        T=t,V=v,C=c;
    }
    friend bool operator <(const Pair a,const Pair b)
    {
        if(a.T!=b.T)
        return a.T>b.T;
        else return a.C>b.C;
    }
};
int tot,head[maxn];
LL cost[maxn];
bool vis[maxn];
void init()
{
    tot=0;
    memset(head,-1,sizeof(head));
}
void add_edge(int u,int v,int t,int c)
{
    edge[tot].to=v;
    edge[tot].tim=t;
    edge[tot].cos=c;
    edge[tot].next=head[u];
    head[u]=tot++;
}
LL dijstra(int start)
{
    memset(vis,false,sizeof(vis));
    memset(cost,inf,sizeof(cost));
    cost[start]=0;
    LL ans=0;
    priority_queue<Pair>que;
    que.push(Pair(0,0,start));
    while(!que.empty())
    {
        Pair now=que.top();
        que.pop();
        if(vis[now.V])
            continue;
        vis[now.V]=true;
        ans+=now.C;
        for(int i=head[now.V];i!=-1;i=edge[i].next)
        {
            int to=edge[i].to;
            if(cost[to]>cost[now.V]+edge[i].tim)
                cost[to]=cost[now.V]+edge[i].tim;
            que.push(Pair( (LL)edge[i].tim+now.T,(LL)edge[i].cos,(LL)to));
        }
    }
    return ans;
}
int main()
{
    int u,v,t,c;
    int n,m;
    int TT;
    cin>>TT;
    while(TT--)
    {
        scanf("%d%d",&n,&m);
        init();
        if(n==0&&m==0)break;
        for(int i=0;i<m;i++)
        {
            scanf("%d%d%d%d",&u,&v,&t,&c);
            add_edge(u,v,t,c);
            add_edge(v,u,t,c);
        }
        LL T=0,C=0;
        C=dijstra(0);
        for(int i=1;i<n;i++)
            T+=cost[i];
        printf("%lld %lld\n",T,C);
    }
    return 0;
}