Invitation Cards POJ - 1511 SPFA(dijkstra+反向建图+邻接表(下标过大)+输入输出用stdio(iostream超时))
題目大意: 有編號1~P的站點, 有Q條公交車路線,公交車路線只從一個起點站直接 到達終點站,是單向的,每條路線有它自己的車費。有P個人早上從1出發 ,他們要到達每一個公交站點, 然后到了晚上再返回點1。 求所有人來 回的最小費用之和。
分析與總結: 依題意,去的時候用單源最短路算法便可求出去時的最小總花費。但是回 來的時候不好辦,是從各個點到達指定的點1最小花費。如果對于每個點 求一次最短路那么肯定會超時。這時候,根據逆向思維,反向的再重新建 立圖(即原先是u-->v 變成v-->u),再用單源最短路算法求出1到所有點 的最短路即可。 隊列跑dijkstra+反向建圖+鄰接表(下標過大)+輸入輸出用stdio(iostream超時)
In the age of television, not many people attend theater performances. Antique Comedians of Malidinesia are aware of this fact. They want to propagate theater and, most of all, Antique Comedies. They have printed invitation cards with all the necessary information and with the programme. A lot of students were hired to distribute these invitations among the people. Each student volunteer has assigned exactly one bus stop and he or she stays there the whole day and gives invitation to people travelling by bus. A special course was taken where students learned how to influence people and what is the difference between influencing and robbery.?
The transport system is very special: all lines are unidirectional and connect exactly two stops. Buses leave the originating stop with passangers each half an hour. After reaching the destination stop they return empty to the originating stop, where they wait until the next full half an hour, e.g. X:00 or X:30, where 'X' denotes the hour. The fee for transport between two stops is given by special tables and is payable on the spot. The lines are planned in such a way, that each round trip (i.e. a journey starting and finishing at the same stop) passes through a Central Checkpoint Stop (CCS) where each passenger has to pass a thorough check including body scan.?
All the ACM student members leave the CCS each morning. Each volunteer is to move to one predetermined stop to invite passengers. There are as many volunteers as stops. At the end of the day, all students travel back to CCS. You are to write a computer program that helps ACM to minimize the amount of money to pay every day for the transport of their employees.?
Input
The input consists of N cases. The first line of the input contains only positive integer N. Then follow the cases. Each case begins with a line containing exactly two integers P and Q, 1 <= P,Q <= 1000000. P is the number of stops including CCS and Q the number of bus lines. Then there are Q lines, each describing one bus line. Each of the lines contains exactly three numbers - the originating stop, the destination stop and the price. The CCS is designated by number 1. Prices are positive integers the sum of which is smaller than 1000000000. You can also assume it is always possible to get from any stop to any other stop.
Output
For each case, print one line containing the minimum amount of money to be paid each day by ACM for the travel costs of its volunteers.
Sample Input
2 2 2 1 2 13 2 1 33 4 6 1 2 10 2 1 60 1 3 20 3 4 10 2 4 5 4 1 50Sample Output
46 210 #include<iostream> #include<stdio.h> #include<string.h> #include<algorithm> #include<queue> using namespace std; #define inf 0x3f3f3f3f const int mm=1e6; int dp[mm+10],a[mm+10],b[mm+10],c[mm+10]; int t,m,n,f[mm+10],ne[mm+10],book[mm+10]; void dfs(int x) {memset(book,0,sizeof(book));memset(dp,inf,sizeof(dp));queue<int>q;while(!q.empty())q.pop();q.push(x);book[x]=1;dp[x]=0;while(!q.empty()){int k=q.front();q.pop();book[k]=0;for(int i=f[k]; i!=-1; i=ne[i])if(dp[b[i]]>dp[a[i]]+c[i]){dp[b[i]]=dp[a[i]]+c[i];if(!book[b[i]]){book[b[i]]=1;q.push(b[i]);}}} } int main() {scanf("%d",&t);while(t--){memset(f,-1,sizeof(f));/*care*/scanf("%d%d",&m,&n);for(int i=0; i<n; i++){scanf("%d%d%d",&a[i],&b[i],&c[i]);ne[i]=f[a[i]];f[a[i]]=i;}dfs(1);long long ans=0;for(int i=1; i<=m; i++)ans+=dp[i];memset(f,-1,sizeof(f));/*care*/for(int i=0; i<n; i++)/*反向建圖*/{swap(a[i],b[i]);ne[i]=f[a[i]];f[a[i]]=i;}dfs(1);for(int i=1; i<=m; i++)ans+=dp[i];printf("%lld\n",ans);}return 0; }總結
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