#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i)) #define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i)) #define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i)) #if defined(_MSC_VER) || __cplusplus > 199711L #define aut(r,v) auto r = (v) #else #define aut(r,v) __typeof(v) r = (v) #endif #define each(it,o) for(aut(it, (o).begin()); it != (o).end(); ++ it) #define all(o) (o).begin(), (o).end() #define pb(x) push_back(x) #define mp(x,y) make_pair((x),(y)) #define mset(m,v) memset(m,v,sizeof(m)) #define INF 0x3f3f3f3f #define INFL 0x3f3f3f3f3f3f3f3fLL using namespace std; typedef vector vi; typedef pair pii; typedef vector > vpii; typedef long long ll; template inline void amin(T &x, U y) { if(y < x) x = y; } template inline void amax(T &x, U y) { if(x < y) x = y; } struct S { int A, B; double C; }; int main() { int N; int M; while(~scanf("%d%d", &N, &M)) { vector rels(M); rep(i, M) { int A; int B; int C; scanf("%d%d%d", &A, &B, &C); S s{A, B, C / 100.}; rels[i] = s; } if(M > 24) return 1; double ans = 0; rep(i, 1 << M) { double prob = 1; rep(j, M) { const S &s = rels[j]; prob *= (i >> j & 1) ? s.C : 1 - s.C; } int reach = 1 << 0; rep(k, M) { int p = reach; rep(j, M) if(i >> j & 1) { const S &s = rels[j]; if(reach >> s.A & 1) reach |= 1 << s.B; } if(reach == p || (reach >> (N - 1) & 1)) break; } if(reach >> (N - 1) & 1) ans += prob; } printf("%.10f\n", ans); } return 0; }