import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, 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; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } enum INF = 10^^9 + 10; void main() { try { for (; ; ) { const N = readInt(); const M = readInt(); auto A = new int[M]; auto B = new int[M]; auto D = new int[M]; foreach (i; 0 .. M) { A[i] = readInt() - 1; B[i] = readInt() - 1; D[i] = readInt(); } auto G = new int[][N]; foreach (i; 0 .. M) { G[A[i]] ~= i; G[B[i]] ~= i; } int calc(int w) { DList!int que; auto dist = new int[N]; dist[] = N + 1; dist[0] = 0; que ~= 0; for (; !que.empty; ) { const u = que.front; que.removeFront; foreach (i; G[u]) { if (D[i] >= w) { const v = A[i] ^ B[i] ^ u; if (chmin(dist[v], dist[u] + 1)) { que ~= v; } } } } return dist[N - 1]; } int lo = 0, hi = D.maxElement + 1; for (; lo + 1 < hi; ) { const mid = (lo + hi) / 2; ((calc(mid) < N) ? lo : hi) = mid; } const res = calc(lo); writeln(lo, " ", res); } } catch (EOFException e) { } }