#include<bits/stdc++.h>

using namespace std;
#define INFS (1LL<<28)
#define INF (1LL<<60)
#define DEKAI 1000000007
#define MOD 998244353
#define lp(i,n) for(int i=0;i<n;i++)
#define double long double
#define all(c) begin(c), end(c)

#define int long long 

namespace {
#define __DECLARE__(C)    \
    template <typename T> \
    std::ostream &operator<<(std::ostream &, const C<T> &);

#define __DECLAREM__(C)               \
    template <typename T, typename U> \
    std::ostream &operator<<(std::ostream &, const C<T, U> &);

__DECLARE__(std::vector)
__DECLARE__(std::deque)
__DECLARE__(std::set)
__DECLARE__(std::stack)
__DECLARE__(std::queue)
__DECLARE__(std::priority_queue)
__DECLARE__(std::unordered_set)
__DECLAREM__(std::map)
__DECLAREM__(std::unordered_map)

template <typename T, typename U>
std::ostream &operator<<(std::ostream &, const std::pair<T, U> &);
template <typename... T>
std::ostream &operator<<(std::ostream &, const std::tuple<T...> &);
template <typename T, std::size_t N>
std::ostream &operator<<(std::ostream &, const std::array<T, N> &);

template <typename Tuple, std::size_t N>
struct __TuplePrinter__ {
    static void print(std::ostream &os, const Tuple &t) {
        __TuplePrinter__<Tuple, N - 1>::print(os, t);
        os << ", " << std::get<N - 1>(t);
    }
};

template <typename Tuple>
struct __TuplePrinter__<Tuple, 1> {
    static void print(std::ostream &os, const Tuple &t) { os << std::get<0>(t); }
};

template <typename... T>
std::ostream &operator<<(std::ostream &os, const std::tuple<T...> &t) {
    os << '(';
    __TuplePrinter__<decltype(t), sizeof...(T)>::print(os, t);
    os << ')';
    return os;
}

template <typename T, typename U>
std::ostream &operator<<(std::ostream &os, const std::pair<T, U> &v) {
    return os << '(' << v.first << ", " << v.second << ')';
}

#define __INNER__                             \
    os << '[';                                \
    for (auto it = begin(c); it != end(c);) { \
        os << *it;                            \
        os << (++it != end(c) ? ", " : "");   \
    }                                         \
    return os << ']';

template <typename T, std::size_t N>
std::ostream &operator<<(std::ostream &os, const std::array<T, N> &c) {
    __INNER__
}

#define __DEFINE__(C)                                           \
    template <typename T>                                       \
    std::ostream &operator<<(std::ostream &os, const C<T> &c) { \
        __INNER__                                               \
    }

#define __DEFINEM__(C)                                             \
    template <typename T, typename U>                              \
    std::ostream &operator<<(std::ostream &os, const C<T, U> &c) { \
        __INNER__                                                  \
    }

#define __DEFINEW__(C, M1, M2)                                  \
    template <typename T>                                       \
    std::ostream &operator<<(std::ostream &os, const C<T> &c) { \
        std::deque<T> v;                                        \
        for (auto d = c; !d.empty(); d.pop()) v.M1(d.M2());     \
        return os << v;                                         \
    }

__DEFINE__(std::vector)
__DEFINE__(std::deque)
__DEFINE__(std::set)
__DEFINEW__(std::stack, push_front, top)
__DEFINEW__(std::queue, push_back, front)
__DEFINEW__(std::priority_queue, push_front, top)
__DEFINE__(std::unordered_set)
__DEFINEM__(std::map)
__DEFINEM__(std::unordered_map)
}


#define rep(i,n) lp(i,n)
using Weight = int;
using Flow = int;
struct Edge {
    int src, dst;
    Weight weight;
    Flow cap;
    Edge() : src(0), dst(0), weight(0) {}
    Edge(int s, int d, Weight w) : src(s), dst(d), weight(w) {}
};
using Edges = std::vector<Edge>;
using Graph = std::vector<Edges>;
using Array = std::vector<Weight>;
using Matrix = std::vector<Array>;

void add_edge(Graph &g, int a, int b, Weight w = 1) {
    g[a].emplace_back(a, b, w);
    g[b].emplace_back(b, a, w);
}
void add_arc(Graph &g, int a, int b, Weight w = 1) { g[a].emplace_back(a, b, w); }

Matrix WarshallFloyd(const Graph &g) {
    //auto const INF = std::numeric_limits<Weight>::max() / 8;
    int n = g.size();
    Matrix d(n, Array(n, INF));
    rep(i, n) d[i][i] = 0;
    rep(i, n) for (auto &e : g[i]) d[e.src][e.dst] = std::min(d[e.src][e.dst], e.weight);
    rep(k, n) rep(i, n) rep(j, n) {
        if (d[i][k] != INF && d[k][j] != INF) d[i][j] = std::min(d[i][j], d[i][k] + d[k][j]);
    }
    return d;
}

signed main(){
	while(1){
		int n,m,s,g1,g2;
		cin>>n>>m>>s>>g1>>g2;
		if(n==0)break;
		s--;
		g1--;
		g2--;
		Graph g(n);
		lp(i,m){
			int a,b,c;
			cin>>a>>b>>c;
			add_arc(g,a-1,b-1,c);
		}
		Matrix dis=WarshallFloyd(g);
		int ans=INF;
		lp(i,n){
			ans=min(ans,dis[s][i]+dis[i][g1]+dis[i][g2]);
		}
		cout<<ans<<endl;
	}
	return 0;
}


Measured memory_bytes: 3176