#include <bits/stdc++.h>
using namespace std;
typedef signed long long ll;

#define _P(...) (void)printf(__VA_ARGS__)
#define FOR(x,to) for(x=0;x<(to);x++)
#define FORR(x,arr) for(auto& x:arr)
#define FORR2(x,y,arr) for(auto& [x,y]:arr)
#define ALL(a) (a.begin()),(a.end())
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
template<class T> bool chmax(T &a, const T &b) { if(a<b){a=b;return 1;}return 0;}
template<class T> bool chmin(T &a, const T &b) { if(a>b){a=b;return 1;}return 0;}
//-------------------------------------------------------

int N,M;
template<int um> class UF {
	public:
	vector<int> par,rank,cnt,G[um];
	UF() {par=rank=vector<int>(um,0); cnt=vector<int>(um,1); for(int i=0;i<um;i++) par[i]=i;}
	void reinit(int num=um) {int i; FOR(i,num) rank[i]=0,cnt[i]=1,par[i]=i;}
	int operator[](int x) {return (par[x]==x)?(x):(par[x] = operator[](par[x]));}
	int count(int x) { return cnt[operator[](x)];}
	int operator()(int x,int y) {
		if((x=operator[](x))==(y=operator[](y))) return x;
		cnt[y]=cnt[x]=cnt[x]+cnt[y];
		if(rank[x]>rank[y]) return par[x]=y;
		rank[x]+=rank[x]==rank[y]; return par[y]=x;
	}
};
UF<50> uf;

vector<pair<int,int>> E[7];
map<vector<int>,double> memo;

double hoge(vector<int> C) {
	if(memo.count(C)) return memo[C];
	
	int same=0;
	double sum=0;
	int tar=-1,i;
	FOR(i,6) {
		if(C[i]) tar=i;
		if(tar==-1) {
			same++;
		}
		else {
			C[tar]--;
			sum+=hoge(C);
			C[tar]++;
		}
	}
	if(same==6) return memo[C]=0;
	return memo[C]=(1+sum/6)/(1-same/6.0);
	
	
}


void solve() {
	int i,j,k,l,r,x,y; string s;
	
	cin>>N>>M;
	FOR(i,M) {
		cin>>x>>y>>k;
		E[k].push_back({x-1,y-1});
	}
	
	vector<int> C(6);
	for(i=1;i<=6;i++) FORR2(a,b,E[i]) {
		if(uf[a]!=uf[b]) {
			C[i-1]++;
			uf(a,b);
		}
	}
	
	_P("%.12lf\n",hoge(C));
	
	
}


int main(int argc,char** argv){
	string s;int i;
	if(argc==1) ios::sync_with_stdio(false), cin.tie(0);
	FOR(i,argc-1) s+=argv[i+1],s+='\n'; FOR(i,s.size()) ungetc(s[s.size()-1-i],stdin);
	cout.tie(0); solve(); return 0;
}