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1003. Emergency (25)

2019-11-08 19:24:48
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As an emergency rescue team leader of a city, you are given a special map of your country. The map shows several scattered cities connected by some roads. Amount of rescue teams in each city and the length of each road between any pair of cities are marked on the map. When there is an emergency call to you from some other city, your job is to lead your men to the place as quickly as possible, and at the mean time, call up as many hands on the way as possible.InputEach input file contains one test case. For each test case, the first line contains 4 positive integers: N (<= 500) - the number of cities (and the cities are numbered from 0 to N-1), M - the number of roads, C1 and C2 - the cities that you are currently in and that you must save, respectively. The next line contains N integers, where the i-th integer is the number of rescue teams in the i-th city. Then M lines follow, each describes a road with three integers c1, c2 and L, which are the pair of cities connected by a road and the length of that road, respectively. It is guaranteed that there exists at least one path from C1 to C2.OutputFor each test case, PRint in one line two numbers: the number of different shortest paths between C1 and C2, and the maximum amount of rescue teams you can possibly gather.All the numbers in a line must be separated by exactly one space, and there is no extra space allowed at the end of a line.Sample Input5 6 0 21 2 1 5 30 1 10 2 20 3 11 2 12 4 13 4 1Sample Output2 4
//一开始/*amount[start] = team[start];dist[start] = 0;pathcount[start] = 1;u = 0;dist[1] = dist[0] + map[0][1]; // dist[1] == 1dist[2] = dist[0] + map[0][1]; // dist[2] == 2amount[1] = 1 + 2;pathcount[1] = 1;pathcount[2] = 1;u = 1;dist[1] + map[1][2] == 2;//满足dist[2] == dist[1] _ map[1][2];pathcount[2] = 1 + 1;//此时amount[2] = 0,amount[1] == 3,team[2] == 1;//soamount[2] = 3 + 1;....此时0~2的最短距离和0~2的所有team数目已经求出来了,分别是pathcount[2],amount[2]*/
#include <cstdio>#include <iostream>#include <cstdlib>using namespace std;const int MX = 500 + 5;const int INF = 9999999;int map[MX][MX];//记录两个点之间的距离sint dist[MX];//记录从起始点到点i的距离int teams[MX];//记录每个城市的队伍数量int amount[MX];//记录起始点到当前点的最大队伍数量int pathcount[MX];//记录从起始点到当前点点的最短路径数量int v[MX];//标记是否被访问过int N,M,start,en,dmin;void dijkstra(int start) {	amount[start] = teams[start];	dist[start] = 0;	pathcount[start] = 1;	while (1){        int u,dmin = INF;        //都是从0开始,因为第一遍循环会把起始点找出来        for (int i = 0; i < N; i++){            if (v[i] == 0 && dist[i] < dmin){                dmin = dist[i];                u = i;            }        }		//dmin==INF表示所有点已经都遍历过了        if (dmin == INF)            break;		//将找到的点标记一下,说明这个点已经访问过,之后就不要访问了		v[u] = 1;		for (int i = 0; i < N; i++) {			if (v[i] == 0) {				if (dist[i] > dist[u] + map[u][i]) {					dist[i] = dist[u] + map[u][i];					amount[i] = amount[u] + teams[i];					pathcount[i] = pathcount[u];				}				else  if (dist[i] == dist[u] + map[u][i]) {					//如果距离相等就,到达当前的最短路径数就加1                    pathcount[i] += pathcount[u];                    //如果之前的最大队伍数量小于现在的队伍数量,则进行更新                    if (amount[i] < amount[u] + teams[i]){                        amount[i] = amount[u] + teams[i];                    }				}			}		}	}	}int main() {	while (~scanf("%d%d%d%d",&N,&M,&start,&en)) {		for (int i = 0; i < N; i++) {			cin >> teams[i];		}		//初始化map数组		for (int i = 0; i < N; i++) {			dist[i] = INF;			for (int j = 0; j < N; j++) {				map[i][j] = INF;			}		}		//读入数据		for (int i = 0; i < M; i++) {			int c1,c2,L;			cin >> c1 >> c2 >> L;			map[c1][c2] = map[c2][c1] = L;		}		//对所有点进行松弛		dijkstra(start);				cout << pathcount[en] << " " << amount[en] << endl;	}	system("pause");	return 0;}
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