import std.conv, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.container, std.math, std.range, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken().to!int; } long readLong() { return readToken().to!long; } real readReal() { return readToken().to!real; } void chmin(T)(ref T t, in T f) { if (t > f) t = f; } void chmax(T)(ref T t, in T f) { if (t < f) t = f; } int binarySearch(T)(in T[] as, in bool delegate(T) test) { int low = -1, upp = cast(int)(as.length); for (; low + 1 < upp; ) { int mid = (low + upp) >> 1; (test(as[mid]) ? low : upp) = mid; } return upp; } int lowerBound(T)(in T[] as, in T val) { return as.binarySearch((T a) => (a < val)); } int upperBound(T)(in T[] as, in T val) { return as.binarySearch((T a) => (a <= val)); } int N, M; int[] A, B; real[] C; int[][] G, H; bool[] vis; int[] us; void dfs(int u) { vis[u] = true; foreach (i; G[u]) { const v = B[i]; if (!vis[v]) { dfs(v); } } us ~= u; } void main() { try { for (; ; ) { N = readInt(); M = readInt(); A = new int[M]; B = new int[M]; C = new real[M]; foreach (i; 0 .. M) { A[i] = readInt(); B[i] = readInt(); C[i] = readInt() / 100.0; } G = new int[][N]; H = new int[][N]; foreach (i; 0 .. M) { G[A[i]] ~= i; H[B[i]] ~= i; } vis = new bool[N]; us = []; foreach (u; 0 .. N) { if (!vis[u]) { dfs(u); } } us.reverse; auto ord = new int[N]; foreach (j; 0 .. N) { ord[us[j]] = j; } debug { writeln("us = ", us); writeln("ord = ", ord); } assert(ord[0] < ord[N - 1]); auto dp = new real[1 << N]; dp[0] = 1.0; foreach (j; 0 .. N) { foreach (s; 0 .. 1 << j) { real p = 1.0; foreach (i; H[us[j]]) { const k = ord[A[i]]; if ((s >> k) & 1) { p *= (1.0 - C[i]); } } if (us[j] == 0) { p = 0.0; } dp[s | 1 << j] = dp[s] * (1.0 - p); dp[s] *= p; } debug { writeln(dp); } } real ans = 0.0; foreach (s; 0 .. 1 << N) { if ((s >> ord[N - 1]) & 1) { ans += dp[s]; } } writefln("%.10f", ans); } } catch (EOFException e) { } }