#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; }; bool topologicalSort(const vector &g, vi &ord) { int n = g.size(); vi deg(n); rep(i, n) each(j, g[i]) deg[*j] ++; ord.assign(n, -1); int t = 0; rep(i, n) if(deg[i] == 0) ord[t ++] = i; for(int h = 0; h < t; h ++) { int v = ord[h]; each(j, g[v]) if(-- deg[*j] == 0) ord[t ++] = *j; } return t == n; } int main() { int N; int M; while(~scanf("%d%d", &N, &M)) { vector rels(M); vector > ig(N); vector g(N); rep(i, M) { int A; int B; int C; scanf("%d%d%d", &A, &B, &C); if(A < 0 || A >= N || B < 0 || B >= N) return 0; S s{A, B, C / 100.}; rels[i] = s; ig[B].push_back(s); g[A].push_back(B); } //???? vector deg(N); rep(i, N) deg[i] = ig[i].size(); vector vis(N); vector dp(N); reu(ix, 0, N) { int i = -1; rep(j, N) if(deg[j] == 0 && !vis[j]) { i = j; break; } if(i == -1) break; vis[i] = true; each(j, g[i]) -- deg[*j]; if(i == 0) { dp[i] = 1; continue; } int vs = 0; for(S s : ig[i]) vs |= 1 << s.A; for(int j = vs; j > 0; (-- j) &= vs) { double p = 1; for(S s : ig[i]) p *= j >> s.A & 1 ? dp[s.A] * s.C : (1 - dp[s.A]) + dp[s.A] * (1 - s.C); dp[i] += p; } } double ans = dp[N - 1]; printf("%.10f\n", ans); break; } return 0; }