一.题目链接:
ZOJ-3946
二.题目大意:
T 组数据.
第一行两个整数 n,m
之后 m 行数据,每行给出第 i 条路的 {起点,终点,花费时间,花费金钱}
首都为第 0 号城市.
求从首都到其他所有城市所需的 总时间 和 总建路花费.
三.分析:
双权值的单源最短路,更改 if 条件语句里就可以了.
注意:时间可重复加,但花费不可以.
所以直接用 dis2[v] 来记录第 i 条路的花费
之后求和即可.
还有要开 long long int.
详见代码.
四.分析:
#include <set>
#include <map>
#include <ctime>
#include <queue>
#include <cmath>
#include <stack>
#include <vector>
#include <cstdio>
#include <sstream>
#include <cstring>
#include <cstdlib>
#include <iostream>
#include <algorithm>
#define eps 1e-6
#define pi acos(-1.0)
#define ll long long int
using namespace std;
const int M = (int)1e5;
const ll inf = 1ll << 50;
struct node
{
int u;
int v;
int c1;
int c2;
int next;
}Edge[2 * M + 5];
int cnt = 0;
bool vis[M + 5];
int head[M + 5];
ll dis1[M + 5];
ll dis2[M + 5];
void init(int n)
{
cnt = 0;
for(int i = 0; i < n; ++i)
{
vis[i] = 0;
head[i] = -1;
dis1[i] = inf;
dis2[i] = inf;
}
}
void add(int u, int v, int c1, int c2)
{
Edge[cnt].u = u;
Edge[cnt].v = v;
Edge[cnt].c1 = c1;
Edge[cnt].c2 = c2;
Edge[cnt].next = head[u];
head[u] = cnt++;
}
struct cmp
{
bool operator()(int a, int b)
{
if(dis1[a] == dis1[b])
return dis2[a] > dis2[b];
return dis1[a] > dis1[b];
}
};
void spfa(int start)
{
vis[start] = 1;
dis1[start] = 0;
dis2[start] = 0;
priority_queue <int, vector <int>, cmp> q;
q.push(start);
while(!q.empty())
{
ll u = q.top();
q.pop();
vis[u] = 0;
for(int i = head[u]; ~i; i = Edge[i].next)
{
int v = Edge[i].v;
if(dis1[v] >= dis1[u] + Edge[i].c1)
{
if(dis1[v] == dis1[u] + Edge[i].c1)
dis2[v] = min(dis2[v], 1ll * Edge[i].c2);
else
dis2[v] = 1ll * Edge[i].c2;
dis1[v] = dis1[u] + Edge[i].c1;
if(!vis[v])
{
vis[v] = 1;
q.push(v);
}
}
}
}
}
int main()
{
int T;
scanf("%d", &T);
while(T--)
{
int n, m;
scanf("%d %d", &n , &m);
init(n);
for(ll i = 0; i < m; ++i)
{
ll u, v, c1, c2;
scanf("%d %d %d %d", &u, &v, &c1, &c2);
add(u, v, c1, c2);
add(v, u, c1, c2);
}
spfa(0);
ll sum1 = 0;
ll sum2 = 0;
for(int i = 0; i < n; ++i)
{
sum1 += dis1[i];
sum2 += dis2[i];
}
printf("%lld %lld\n", sum1, sum2);
}
return 0;
}