import std.conv, std.functional, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.container, std.math, std.numeric, 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; } 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)); } class XRand { uint x = 314159265, y = 358979323, z = 846264338, w = 327950288; void setSeed(uint seed) { w ^= seed * 65535; } uint next() { uint t = x ^ x << 11; x = y; y = z; z = w; return w = w ^ w >> 19 ^ t ^ t >> 8; } uint nextInt(uint m) { return next() % m; } int nextInt(int a, int b) { return a + nextInt(b - a + 1); } ulong nextLong(ulong m) { return (next() | cast(ulong)(next()) << 32) % m; } long nextLong(long a, long b) { return a + nextLong(b - a + 1); } real nextReal() { return next() / 4294967296.0; } } enum NUM_ITERS = 10^^5; enum TEMP_INIT = 1e100; enum TEMP_RATE = 0.995; int N, M; int[] A, B, C; void main() { auto rng = new XRand(); try { for (; ; ) { N = readInt(); M = readInt(); A = new int[M]; B = new int[M]; C = new int[M]; foreach (i; 0 .. M) { A[i] = readInt(); B[i] = readInt(); C[i] = readInt(); } auto D = new int[][](N, N); foreach (i; 0 .. M) { D[A[i]][B[i]] += C[i]; } auto us = iota(N).array; auto pos = iota(N).array; int score; foreach (i; 0 .. M) { if (A[i] < B[i]) { score += C[i]; } } real temp = TEMP_INIT; foreach (iter; 0 .. NUM_ITERS) { int a, b; for (; ; ) { a = rng.nextInt(N); b = rng.nextInt(N); if (a != b) { if (pos[a] > pos[b]) { swap(a, b); } break; } } int scoreDiff; scoreDiff -= D[a][b]; scoreDiff += D[b][a]; foreach (u; us[pos[a] + 1 .. pos[b]]) { scoreDiff -= D[a][u]; scoreDiff -= D[u][b]; scoreDiff += D[b][u]; scoreDiff += D[u][a]; } if (scoreDiff > 0 || rng.nextReal() < exp(scoreDiff / temp)) { score += scoreDiff; stderr.writefln("iter = %s, score = %s", iter, score); swap(us[pos[a]], us[pos[b]]); swap(pos[a], pos[b]); } temp *= TEMP_RATE; } writeln(score); writeln(us.to!string.replaceAll(regex(`[\[\],]`), "")); } } catch (EOFException e) { } }