package _1473; import java.io.BufferedReader; import java.io.EOFException; import java.io.IOException; import java.io.InputStream; import java.io.InputStreamReader; import java.io.PrintStream; import java.io.PrintWriter; import java.io.UncheckedIOException; import java.math.BigInteger; import java.util.ArrayDeque; import java.util.ArrayList; import java.util.Arrays; import java.util.Deque; import java.util.HashMap; import java.util.List; import java.util.Map; import java.util.function.Supplier; import java.util.regex.Pattern; public class Main { public void exec() { int n = stdin.nextInt(); int m = stdin.nextInt(); Map> edges = new HashMap<>(); for (int i = 0; i < m; i++) { int s = stdin.nextInt()-1; int t = stdin.nextInt()-1; int d = stdin.nextInt(); edges.computeIfAbsent(s, unused -> new ArrayList<>()).add(new Edge(t, d)); edges.computeIfAbsent(t, unused -> new ArrayList<>()).add(new Edge(s, d)); } int ok = 0; int ng = 1000000000+1; int ans = 0; while (Math.abs(ok-ng)>1) { int mi = (ok+ng)/2; Deque stack = new ArrayDeque<>(); int[] count = new int[n]; stack.add(0); Arrays.fill(count, Integer.MAX_VALUE); count[0]=0; while (!stack.isEmpty()) { int cur = stack.pop(); for (Edge e : edges.get(cur)) { if (mi <= e.d && count[cur]+1 < count[e.next]) { stack.add(e.next); count[e.next] = count[cur]+1; } } } if (count[n-1]!=Integer.MAX_VALUE) { ok = mi; ans = count[n-1]; } else { ng = mi; } } stdout.println(ok, ans); } public class Edge { public int next; public int d; public Edge(int next, int d) { super(); this.next = next; this.d = d; } } private static final Stdin stdin = new Stdin(System.in); private static final Stdout stdout = new Stdout(System.out); public static void main(String[] args) { try { new Main().exec(); } finally { stdout.flush(); } } public static class Stdin { private Deque queue; private BufferedReader in; private Pattern space; public Stdin(InputStream in) { this.queue = new ArrayDeque<>(); this.in = new BufferedReader(new InputStreamReader(in)); this.space = Pattern.compile(" "); } public String nextString() { if (queue.isEmpty()) { try { String line = in.readLine(); if (line == null) { throw new EOFException(); } space.splitAsStream(line).forEach(this.queue::addLast); } catch (IOException e) { throw new UncheckedIOException(e); } } return queue.removeFirst(); } public int nextInt() { return Integer.parseInt(nextString()); } public double nextDouble() { return Double.parseDouble(nextString()); } public long nextLong() { return Long.parseLong(nextString()); } public BigInteger nextBigInteger() { return new BigInteger(nextString()); } public String[] nextStringArray(int n) { String[] a = new String[n]; for (int i = 0; i < n; i++) a[i] = nextString(); return a; } public int[] nextIntArray(int n) { int[] a = new int[n]; for (int i = 0; i < n; i++) a[i] = nextInt(); return a; } public double[] nextDoubleArray(int n) { double[] a = new double[n]; for (int i = 0; i < n; i++) a[i] = nextDouble(); return a; } public long[] nextLongArray(int n) { long[] a = new long[n]; for (int i = 0; i < n; i++) a[i] = nextLong(); return a; } public BigInteger[] nexBigIntegerArray(int n) { BigInteger[] a = new BigInteger[n]; for (int i = 0; i < n; i++) a[i] = nextBigInteger(); return a; } public List nextIntegerList(int n) { return nextList(n, this::nextInt); } public List nextLongList(int n) { return nextList(n, this::nextLong); } public List nextDoubleList(int n) { return nextList(n, this::nextDouble); } public List nextStringList(int n) { return nextList(n, this::nextString); } public List nextBigIntegerList(int n) { return nextList(n, this::nextBigInteger); } private List nextList(int n, Supplier supplier) { List a = new ArrayList<>(); for (int i = 0; i < n; i++) a.add(supplier.get()); return a; } } public static class Stdout { private PrintWriter stdout; public Stdout(PrintStream stdout) { this.stdout = new PrintWriter(stdout, false); } public void println(Object ... objs) { for (int i = 0, len = objs.length; i < len; i++) { stdout.print(objs[i]); if (i != len-1) stdout.print(' '); } stdout.println(); } public void flush() { stdout.flush(); } } }