#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint998244353; void debug_mint1(vector &vec) { for (int i = 0; i < vec.size(); i++) { cerr << vec[i].val() << " "; } cerr << endl; } void debug_mint2(vector> &vec) { for (int i = 0; i < vec.size(); i++) { for (int j = 0; j < vec[i].size(); j++) { cerr << vec[i][j].val() << " "; } cerr << endl; } } int main() { ll N, M; cin >> N >> M; vector u(M); vector v(M); vector c(M); rep(i, M){ cin >> u[i] >> v[i] >> c[i]; u[i]--; v[i]--; } // graph の scc をしたい! scc_graph graph(2 * N); rep(i, M){ graph.add_edge(u[i], v[i] + N); graph.add_edge(u[i] + N, v[i]); } vector> scc_g = graph.scc(); ll len = scc_g.size(); vector idx(2 * N); rep(i, scc_g.size()){ for (ll x: scc_g[i]){ idx[x] = i; } } vector ld(len); rep(i, len){ ld[i] = scc_g[i][0]; } vector> g1(2 * N, vector(0)); vector> g2(len, vector(0)); for (ll i = 0; i < M; i++){ if (idx[u[i]] == idx[v[i] + N]){ g1[u[i]].push_back(make_pair(v[i] + N, 2 * c[i] - 1)); } else{ g2[idx[u[i]]].push_back(make_pair(2 * i, 2 * c[i] - 1)); } if (idx[u[i] + N] == idx[v[i]]){ g1[u[i] + N].push_back(make_pair(v[i], 1 - 2 * c[i])); } else{ g2[idx[u[i] + N]].push_back(make_pair(2 * i + 1, 1 - 2 * c[i])); } } // g1, g2 それぞれで閉路が発生するか調べる vector has(len, false); vector isvisited(2 * N, false); vector now_c(2 * N, 0); for (ll i = 0; i < 2 * N; i++){ if (isvisited[i]) continue; queue que; que.push(i); isvisited[i] = true; while (que.size()){ ll p = que.front(); que.pop(); for (pll x: g1[p]){ ll np = x.first; ll nc = x.second; if (isvisited[np]){ if (now_c[np] != now_c[p] + nc){ has[idx[p]] = true; } continue; } isvisited[np] = true; now_c[np] = now_c[p] + nc; que.push(np); } } } // debug(scc_g); ll INF = 1000000000023LL; vector max_val(2 * N, -INF); vector min_val(2 * N, INF); max_val[0] = 0; min_val[0] = 0; max_val[N] = 0; min_val[N] = 0; for (ll i = 0; i < len; i++){ ll max_diff = -INF; ll min_diff = INF; for (int x: scc_g[i]){ max_diff = max(max_diff, max_val[x] - now_c[x]); min_diff = min(min_diff, min_val[x] - now_c[x]); } for (int x: scc_g[i]){ max_val[x] = max_diff + now_c[x]; min_val[x] = min_diff + now_c[x]; } for (pll x: g2[i]){ ll id = x.first / 2; ll type = x.first % 2; ll from = u[id]; ll to = v[id]; ll nc = x.second; if (type == 0) to += N; else from += N; // debug_out(from, to); max_val[to] = max(max_val[to], max_val[from] + nc); min_val[to] = min(min_val[to], min_val[from] + nc); if (has[i]) has[idx[to]] = true; } } // debug(min_val); // debug(max_val); for (ll i = 0; i < N; i++){ if (has[idx[i]]){ cout << -1 << endl; continue; } ll ans = 0; ans = max(ans, max_val[i]); ans = max(ans, max_val[i + N]); ans = max(ans, -min_val[i]); ans = max(ans, -min_val[i + N]); cout << ans << endl; } }