using System; using System.Linq; using System.Diagnostics; using System.Collections.Generic; using Debug = System.Diagnostics.Debug; using StringBuilder = System.Text.StringBuilder; using System.Numerics; using Number = System.Int32; namespace Program { public class Solver { public void Solve() { var n = sc.Integer(); var m = sc.Integer(); var dp = new double[n]; var val = Enumerate(n, x => new List()); var G = Enumerate(n, x => new List>()); var gg = Enumerate(n, x => new List()); for (int i = 0; i < m; i++) { var f = sc.Integer(); var t = sc.Integer(); var p = sc.Integer() / 100.0; G[f].Add(new KeyValuePair(t, p)); gg[f].Add(t); } dp[0] = 1; var ord = Graph.TopologicalSort(gg); Debug.WriteLine(ord.AsJoinedString()); foreach (var x in ord) { for (int i = 1; i < 1 << val[x].Count; i++) { var pp = 1.0; for (int j = 0; j < val[x].Count; j++) { if ((i >> j & 1) == 1) pp *= val[x][j]; else pp *= (1 - val[x][j]); } dp[x] += pp; } foreach (var to in G[x]) { val[to.Key].Add(dp[x] * to.Value); } } IO.Printer.Out.WriteLine(dp[n - 1]); } public IO.StreamScanner sc = new IO.StreamScanner(Console.OpenStandardInput()); static T[] Enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(i); return a; } static public void Swap(ref T a, ref T b) { var tmp = a; a = b; b = tmp; } } } #region main static class Ex { static public string AsString(this IEnumerable ie) { return new string(System.Linq.Enumerable.ToArray(ie)); } static public string AsJoinedString(this IEnumerable ie, string st = " ") { return string.Join(st, ie); } static public void Main() { var solver = new Program.Solver(); solver.Solve(); Program.IO.Printer.Out.Flush(); } } #endregion #region Ex namespace Program.IO { using System.IO; using System.Text; using System.Globalization; public class Printer : StreamWriter { static Printer() { Out = new Printer(Console.OpenStandardOutput()) { AutoFlush = false }; } public static Printer Out { get; set; } public override IFormatProvider FormatProvider { get { return CultureInfo.InvariantCulture; } } public Printer(System.IO.Stream stream) : base(stream, new UTF8Encoding(false, true)) { } public Printer(System.IO.Stream stream, Encoding encoding) : base(stream, encoding) { } public void Write(string format, T[] source) { base.Write(format, source.OfType().ToArray()); } public void WriteLine(string format, T[] source) { base.WriteLine(format, source.OfType().ToArray()); } } public class StreamScanner { public StreamScanner(Stream stream) { str = stream; } public readonly Stream str; private readonly byte[] buf = new byte[1024]; private int len, ptr; public bool isEof = false; public bool IsEndOfStream { get { return isEof; } } private byte read() { if (isEof) return 0; if (ptr >= len) { ptr = 0; if ((len = str.Read(buf, 0, 1024)) <= 0) { isEof = true; return 0; } } return buf[ptr++]; } public char Char() { byte b = 0; do b = read(); while ((b < 33 || 126 < b) && !isEof); return (char)b; } public string Scan() { var sb = new StringBuilder(); for (var b = Char(); b >= 33 && b <= 126; b = (char)read()) sb.Append(b); return sb.ToString(); } public string ScanLine() { var sb = new StringBuilder(); for (var b = Char(); b != '\n'; b = (char)read()) if (b == 0) break; else if (b != '\r') sb.Append(b); return sb.ToString(); } public long Long() { if (isEof) return long.MinValue; long ret = 0; byte b = 0; var ng = false; do b = read(); while (b != '-' && (b < '0' || '9' < b)); if (b == '-') { ng = true; b = read(); } for (; true; b = read()) { if (b < '0' || '9' < b) return ng ? -ret : ret; else ret = ret * 10 + b - '0'; } } public int Integer() { return (isEof) ? int.MinValue : (int)Long(); } public double Double() { return double.Parse(Scan(), CultureInfo.InvariantCulture); } private T[] enumerate(int n, Func f) { var a = new T[n]; for (int i = 0; i < n; ++i) a[i] = f(); return a; } public char[] Char(int n) { return enumerate(n, Char); } public string[] Scan(int n) { return enumerate(n, Scan); } public double[] Double(int n) { return enumerate(n, Double); } public int[] Integer(int n) { return enumerate(n, Integer); } public long[] Long(int n) { return enumerate(n, Long); } } } #endregion #region TopologicalSort static partial class Graph { //順序をいじりたい場合はQueueから変える //使わない奴がある場合はcountのその位置に予め-1を入れて渡す //循環してるとサイズが小さくなるはず? static public int[] TopologicalSort(List[] G, int[] count = null) { var n = G.Length; if (count == null) { count = new int[n]; foreach (var l in G) foreach (var x in l) count[x]++; } var ret = new List(); var q = new Queue(); for (int i = 0; i < n; i++) if (count[i] == 0) q.Enqueue(i); while (q.Any()) { var p = q.Dequeue(); ret.Add(p); foreach (var x in G[p]) if (--count[x] == 0) q.Enqueue(x); } return ret.ToArray(); } } #endregion