#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; #define REP(i,n) for(ll (i)=0;(i)<(n);(i)++) #define rep(i,j,n) for(ll (i)=(j);(i)<(n);(i)++) #define FOR(i,c) for(decltype((c).begin())i=(c).begin();i!=(c).end();++i) #define ll long long #define ull unsigned long long #define all(hoge) (hoge).begin(),(hoge).end() #define F first #define S second #define en "\n" typedef pair P; const long long INF = 1LL << 60; const long long MOD = 1e9 + 7; typedef vector Array; typedef vector Matrix; const int loose = 0; const int tight = 1; template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } //グラフ関連 struct Edge {//グラフ ll to, cap, rev; Edge(ll _to, ll _cap, ll _rev) { to = _to; cap = _cap; rev = _rev; } }; typedef vector Edges; typedef vector Graph; void add_edge(Graph& G, ll from, ll to, ll cap, bool revFlag, ll revCap) { G[from].push_back(Edge(to, cap, (ll)G[to].size())); if (revFlag)G[to].push_back(Edge(from, revCap, (ll)G[from].size() - 1)); } void Dijkstra(Graph& G, ll s, Array& d) {//O(|E|log|V|) d.resize(G.size()); REP(i, d.size())d[i] = INF; d[s] = 0; priority_queue, greater

> q; q.push(make_pair(0, s)); while (!q.empty()) { P a = q.top(); q.pop(); if (d[a.second] < a.first)continue; REP(i, G[a.second].size()) { Edge e = G[a.second][i]; if (d[e.to] > d[a.second] + e.cap) { d[e.to] = d[a.second] + e.cap; q.push(make_pair(d[e.to], e.to)); } } } } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr); ll n, m; cin >> n >> m; Graph g(2*n);//チケット使用前、使用後 REP(i, m) { ll a, b, c; cin >> a >> b >> c; a--; b--; add_edge(g, a, b, c, true, c); add_edge(g, a + n, b + n, c, true, c); add_edge(g, a, b + n, 0, false, 0);//チケットを使う add_edge(g, b, a + n, 0, false, 0);//チケットを使う } Array d; Dijkstra(g, 0, d); cout << 0 << endl; rep(i, 1, n) { cout << d[i] + d[i + n] << endl; } return 0; }