using System; using System.Linq; using System.Linq.Expressions; 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 G = Enumerate(2, _ => Enumerate(n, x => new List>())); for (int i = 0; i < m; i++) { var f = sc.Integer(); var t = sc.Integer(); var c = sc.Integer(); G[0][f].Add(new KeyValuePair(t, c)); G[1][t].Add(new KeyValuePair(f, c)); } var d = Enumerate(2, x => Enumerate(n, y => -1000000000)); d[0][0] = d[1][n - 1] = 0; for (int _ = 0; _ < 2; _++) { var f = 0; if (_ == 1) f = n - 1; var q = new Queue(); q.Enqueue(f); var count = new int[n]; while (q.Count > 0) { var p = q.Dequeue(); Debug.WriteLine(p); foreach (var to in G[_][p]) { if (d[_][p] + to.Value > d[_][to.Key]) d[_][to.Key] = d[_][p] + to.Value; count[to.Key]++; if (count[to.Key] == G[_ ^ 1][to.Key].Count) q.Enqueue(to.Key); } } Debug.WriteLine(""); } var cnt = 0; for (int i = 0; i < n; i++) if (d[0][n - 1] != d[0][i] + d[1][i]) cnt++; IO.Printer.Out.WriteLine("{0} {1}/{2}", d[0][n - 1], cnt, n); } 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 != 0 && b != '-' && (b < '0' || '9' < b)); if (b == 0) return long.MinValue; 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() { var s = Scan(); return s != "" ? double.Parse(s, CultureInfo.InvariantCulture) : double.NaN; } 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 RadixHeap /// /// 突っ込むのが整数でないとき用 /// public class RadixHeapPriorityQueue { /// /// コストがlongのときは64 /// const int SIZE = 32; Number last; Func get; public RadixHeapPriorityQueue(Func f) { Debug.Assert( (sizeof(Number) == sizeof(long) && SIZE == 64) || (sizeof(Number) == sizeof(int) && SIZE == 32)); Debug.Assert(f != null); for (int i = 0; i <= SIZE; i++) v[i] = new FastLinkedList(); get = f; } static int bsr(long x) { if (x == 0) return -1; else { var n = 0; if (x >> (n + 32) > 0) n += 32; if (x >> (n + 16) > 0) n += 16; if (x >> (n + 8) > 0) n += 8; if (x >> (n + 4) > 0) n += 4; if (x >> (n + 2) > 0) n += 2; if (x >> (n + 1) > 0) n += 1; return n; } } FastLinkedList[] v = new FastLinkedList[SIZE + 1]; int size; public void Enqueue(T item) { var x = get(item); Debug.Assert(last <= x); size++; v[bsr(x ^ last) + 1].Add(item); } public T Dequeue() { if (v[0].Count == 0) { var i = 1; while (v[i].Count == 0) i++; var nlast = Number.MaxValue; for (FastLinkedList.Node n = v[i].last; n != null; n = n.par) { var val = get(n.val); if (val < nlast) nlast = val; } while (v[i].Count > 0) { var val = v[i].Pop(); v[bsr(get(val) ^ nlast) + 1].Add(val); } last = nlast; } size--; return v[0].Pop(); } public int Count { get { return size; } } public bool Any() { return size > 0; } #region FastLinkedList private class FastLinkedList { int size; public Node last; public int Count { get { return size; } } public void Add(TT item) { last = new Node(item, last); size++; } public TT Pop() { var ret = last.val; last = last.par; size--; return ret; } public class Node { public readonly TT val; public readonly Node par; public Node(TT v, Node p) { val = v; par = p; } } } #endregion } #endregion