1003. Emergency (25)

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.

Input

Each 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.

Output

For 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 Input

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

Sample Output

2 4

算法：图的深度优先遍历

#include <iostream>
#include <vector>
using namespace std;

typedef struct dist{
	int distance;
	int teams_num;
	int paths_num;
}Dist;

inline 
	int MAXINT()
{
	return (unsigned int)(-1)>>1;
}


void DFS(const vector<vector<int>> &grap,const vector<int> &teams,Dist temp_dist,Dist &dist, vector<bool> &visited,size_t begin,size_t end)
{
	if(begin==end) {
		if(temp_dist.distance<dist.distance){
		     dist.distance=temp_dist.distance;
			 dist.paths_num=1;
			 dist.teams_num=temp_dist.teams_num;
		}else if(temp_dist.distance==dist.distance){
			 ++dist.paths_num;
			 if(dist.teams_num<temp_dist.teams_num){
				 dist.teams_num=temp_dist.teams_num;
			 }
		}
		return ;
	}
	visited[begin]=true;
	int max=MAXINT();
	for(size_t i=0;i<grap.size();++i){
		if(visited[i] || grap[begin][i]==max) continue ;
		Dist t_dist=temp_dist;
		t_dist.distance+=grap[begin][i];
		t_dist.teams_num+=teams[i];
		DFS(grap,teams,t_dist,dist,visited,i,end);
	}
	visited[begin]=false;
}

int main()
{
	int n,m,c1,c2;
	while(cin>>n>>m>>c1>>c2){
		vector<int> teams;//每个城市的救援队
		int repeat_n=n,team;
		while(repeat_n--){
			cin>>team;
			teams.push_back(team);
		}
		int max=MAXINT();//最大距离表示两个城市之间没有直接路径
		vector<vector<int>> cities(n,vector<int>(n,max));//初始化地图
		repeat_n=m;
		while(repeat_n--){//重新设置地图中两点的距离
			size_t start,end,distance;
			cin>>start>>end>>distance;
			cities[start][end]=distance;
			cities[end][start]=distance;
		}
	    Dist c2_dist,temp_dist;
		c2_dist.distance=max;
		c2_dist.paths_num=0;
		c2_dist.teams_num=0;

		temp_dist.distance=0;
		temp_dist.paths_num=0;
		temp_dist.teams_num=teams[c1];

		
		vector<bool> visited(n,false);
		DFS(cities,teams,temp_dist,c2_dist,visited,c1,c2);
		cout<<c2_dist.paths_num<<" "<<c2_dist.teams_num<<endl;
	}
}
/*

6 9 0 2
1 2 1 5 3 4
0 1 1
0 2 2
0 3 1
1 2 1
2 3 1
2 4 1
2 5 1
3 4 1
4 5 1

6 9 0 4
1 2 1 5 3 4
0 1 1
0 2 2
0 3 1
1 2 1
2 3 1
2 4 1
2 5 1
3 4 1
4 5 1

6 9 0 5
1 2 1 5 3 4
0 1 1
0 2 2
0 3 1
1 2 1
2 3 1
2 4 1
2 5 1
3 4 1
4 5 1


*/