【HDU - 3790】最短路径问题(DIjkstra算法 双权值)

题干:

给你n个点,m条无向边,每条边都有长度d和花费p,给你起点s终点t,要求输出起点到终点的最短距离及其花费,如果最短距离有多条路线,则输出花费最少的。

Input

输入n,m,点的编号是1~n,然后是m行,每行4个数 a,b,d,p,表示a和b之间有一条边,且其长度为d,花费为p。最后一行是两个数 s,t;起点s,终点。n和m为0时输入结束。 
(1<n<=1000, 0<m<100000, s != t)

Output

输出 一行有两个数, 最短距离及其花费。

Sample Input

3 2
1 2 5 6
2 3 4 5
1 3
0 0

Sample Output

9 11

解题报告:

      最短路的双权值问题,优先级高的满足小于关系的时候,对于优先级低的需要无脑加,当优先级高的相等的时候优先级较低的才可以取min  。

AC代码:

#include<bits/stdc++.h>using namespace std;
const int MAX = 1000 + 5;
const int INF = 0x3f3f3f3f;
int cost[MAX],dis[MAX];
bool vis[MAX];
int head[MAX];
int n,m;
int cnt;
int st,ed;
//w代表距离,c代表花费 
struct Edge {int to,w,ne,c; 
} e[100000 + 5];
struct Point {int pos;int w,c;Point(){}Point(int pos,int w,int c):pos(pos),w(w),c(c){}bool operator<(const Point & b) const {return w>b.w;} 
} p;
void Dijkstra(int u,int v) {dis[u] = 0;cost[u] = 0;int all = n,minw = INF,minv;priority_queue<Point> pq;pq.push(Point(u,0,0));while(!pq.empty()) {
//		printf("...\n");Point cur = pq.top();pq.pop();
//		if(vis[cur.pos] == 1) continue;//加不加都可以 vis[cur.pos] = 1;if(cur.pos == v) break;int x = cur.pos;for(int i = head[x]; i!=-1; i=e[i].ne) {
//			if(vis[e[i].to] == 1) continue;  这句千万不能加。。。 if(dis[e[i].to] > dis[x] + e[i].w ) {dis[e[i].to] = dis[x] + e[i].w;cost[e[i].to] = cost[x] + e[i].c;pq.push(Point(e[i].to,dis[e[i].to],cost[e[i].to]));}else if(dis[e[i].to] == dis[x] + e[i].w) {cost[e[i].to] = min(cost[e[i].to] , cost[x] + e[i].c);pq.push(Point(e[i].to,dis[e[i].to],cost[e[i].to]));}
//			if(vis[e[i].to ] == 0) 
//			pq.push(Point(e[i].to,dis[e[i].to],cost[e[i].to]));				}}printf("%d %d\n",dis[v],cost[v]);
} void add(int a,int b,int w,int c) {e[cnt].to = b;e[cnt].w = w;e[cnt].c = c; e[cnt].ne = head[a];head[a] = cnt++;
}
void init() {cnt = 0;memset(head,-1,sizeof(head));memset(dis,INF,sizeof(dis));memset(cost,INF,sizeof(cost));memset(vis,0,sizeof(vis));
}
int main()
{int a,b,d,p;while(~scanf("%d%d",&n,&m)) {if(n == 0 && m == 0) break;init();while(m--) {scanf("%d%d%d%d",&a,&b,&d,&p);add(a,b,d,p);add(b,a,d,p);}scanf("%d%d",&st,&ed);Dijkstra(st,ed); }return 0 ;
}

MLE代码:(就是push的位置不同,,就会MLE)

 

//改一下push的位置  能过吗?
#include<bits/stdc++.h>using namespace std;
const int MAX = 1000 + 5;
const int INF = 0x3f3f3f3f;
int cost[MAX],dis[MAX];
bool vis[MAX];
int head[MAX];
int n,m;
int cnt;
int st,ed;
//w代表距离,c代表花费 
struct Edge {int to,w,ne,c; 
} e[100000 + 5];
struct Point {int pos;int w,c;Point(){}Point(int pos,int w,int c):pos(pos),w(w),c(c){}bool operator<(const Point & b) const {return w>b.w;} 
} p;
void Dijkstra(int u,int v) {dis[u] = 0;cost[u] = 0;int all = n,minw = INF,minv;priority_queue<Point> pq;pq.push(Point(u,0,0));while(!pq.empty()) {
//		printf("...\n");Point cur = pq.top();pq.pop();
//		if(vis[cur.pos] == 1) continue;//加不加都可以 vis[cur.pos] = 1;if(cur.pos == v) break;int x = cur.pos;for(int i = head[x]; i!=-1; i=e[i].ne) {
//			if(vis[e[i].to] == 1) continue;  这句千万不能加。。。 if(dis[e[i].to] > dis[x] + e[i].w ) {dis[e[i].to] = dis[x] + e[i].w;cost[e[i].to] = cost[x] + e[i].c;
//				pq.push(Point(e[i].to,dis[e[i].to],cost[e[i].to]));}else if(dis[e[i].to] == dis[x] + e[i].w) {cost[e[i].to] = min(cost[e[i].to] , cost[x] + e[i].c);
//				pq.push(Point(e[i].to,dis[e[i].to],cost[e[i].to]));}if(vis[e[i].to ] == 0) pq.push(Point(e[i].to,dis[e[i].to],cost[e[i].to]));				}}printf("%d %d\n",dis[v],cost[v]);
} void add(int a,int b,int w,int c) {e[cnt].to = b;e[cnt].w = w;e[cnt].c = c; e[cnt].ne = head[a];head[a] = cnt++;
}
void init() {cnt = 0;memset(head,-1,sizeof(head));memset(dis,INF,sizeof(dis));memset(cost,INF,sizeof(cost));memset(vis,0,sizeof(vis));
}
int main()
{int a,b,d,p;while(~scanf("%d%d",&n,&m)) {if(n == 0 && m == 0) break;init();while(m--) {scanf("%d%d%d%d",&a,&b,&d,&p);add(a,b,d,p);add(b,a,d,p);}scanf("%d%d",&st,&ed);Dijkstra(st,ed); }return 0 ;
}

 

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