To most of them, it's the first time to go abroad so they decide to make a collective tour.
The tour company shows them a new kind of tour circuit - DIY circuit. Each circuit contains some cities which can be selected by tourists themselves. According to the company's statistic, each city has its own interesting point. For instance, Paris has its
interesting point of 90, New York has its interesting point of 70, ect. Not any two cities in the world have straight flight so the tour company provide a map to tell its tourists whether they can got a straight flight between any two cities on the map. In
order to fly back, the company has made it impossible to make a circle-flight on the half way, using the cities on the map. That is, they marked each city on the map with one number, a city with higher number has no straight flight to a city with lower number.
Note: Weiwei always starts from Hangzhou(in this problem, we assume Hangzhou is always the first city and also the last city, so we mark Hangzhou both 1 andN+1), and its interesting point is always 0.
Now as the leader of the team, Weiwei wants to make a tour as interesting as possible. If you were Weiwei, how did you DIY it?
Each case will begin with an integer N(2 ≤ N ≤ 100) which is the number of cities on the map.
Then N integers follows, representing the interesting point list of the cities.
And then it is an integer M followed by M pairs of integers [Ai, Bi] (1 ≤ i ≤ M). Each pair of [Ai, Bi] indicates that a straight flight is available from City Ai to City Bi.
Output a blank line between two cases.
2 3 0 70 90 4 1 2 1 3 2 4 3 4 3 0 90 70 4 1 2 1 3 2 4 3 4
CASE 1# points : 90 circuit : 1->3->1 CASE 2# points : 90 circuit : 1->2->1
利用Dijkstra算法的思想。依次加入每个点,更新dis[] ,表示interesting
point
#include <stdio.h> #include <iostream> #include <string.h> using namespace std; int t,n,points[110],m; bool map[110][110]; int dis[110]; int path[110]; void printPath(int i){ if(i == 0) return; printPath(path[i]); printf("%d->",i); } int main(){ //freopen("in.txt", "r", stdin); cin >> t; int c=1; while(t--){ cin >> n; for(int i=1; i<=n; i++){ cin >> points[i]; } points[n+1] = 0; cin >> m; int a,b; memset(map, 0, sizeof(map)); memset(dis, 0, sizeof(dis)); memset(path, 0, sizeof(path)); for(i=1; i<=m; i++){ cin >> a >> b; map[a][b] = true; } for(int k=1; k<=n+1; k++){ for(i=k+1; i<=n+1; i++){ if(map[k][i] ){ if(dis[i] < dis[k] + points[i]){ dis[i] = dis[k] + points[i]; path[i] = k; } } } } printf("CASE %d#\npoints : %d\ncircuit : ",c++,dis[n+1]); printPath(path[n+1]); if(t) printf("1\n\n"); else printf("1\n"); } return 0; }