//#pragma GCC target("avx2") //#pragma GCC optimize("O3") //#pragma GCC optimize("unroll-loops") #include using namespace std; using ll = long long; using pii = pair; using pll = pair; using pli = pair; #define MOD 998244353 //#define MOD 1000000007 #define el '\n' #define El '\n' #define YESNO(x) ((x) ? "Yes" : "No") #define YES YESNO(true) #define NO YESNO(false) #define EXIT_ANS(x) {cout << (x) << '\n'; return;} template void inline SORT(vector &v){sort(v.begin(),v.end()); return;} template void inline REV(vector &v){reverse(v.begin(),v.end()); return;} template void inline VEC_UNIQ(vector &v){sort(v.begin(),v.end()); v.erase(unique(v.begin(),v.end()),v.end()); return;} template T inline MAX(vector &v){return *max_element(v.begin(),v.end());} template T inline MIN(vector &v){return *min_element(v.begin(),v.end());} template T inline SUM(vector &v){T ans = 0; for(int i = 0; i < (int)v.size(); i++)ans += v[i]; return ans;} template void inline DEC(vector &v){for(int i = 0; i < (int)v.size(); i++)v[i]--; return;} template void inline INC(vector &v){for(int i = 0; i < (int)v.size(); i++)v[i]++; return;} void inline TEST(void){cerr << "TEST" << endl; return;} template bool inline chmin(T &x,T y){ if(x > y){ x = y; return true; } return false; } template bool inline chmax(T &x,T y){ if(x < y){ x = y; return true; } return false; } template vector inline get_vec(int n){ vector ans(n); for(int i = 0; i < n; i++)cin >> ans[i]; return ans; } template void inline print_vec(vector &vec,bool kaigyou = false){ int n = (int)vec.size(); for(int i = 0; i < n; i++){ cout << vec[i]; if(kaigyou || i == n - 1)cout << '\n'; else cout << ' '; } if(!n)cout << '\n'; return; } template void inline debug_vec(vector &vec,bool kaigyou = false){ int n = (int)vec.size(); for(int i = 0; i < n; i++){ cerr << vec[i]; if(kaigyou || i == n - 1)cerr << '\n'; else cerr << ' '; } if(!n)cerr << '\n'; return; } vector> inline get_graph(int n,int m = -1,bool direct = false){ if(m == -1)m = n - 1; vector> g(n); while(m--){ int u,v; cin >> u >> v; u--; v--; g[u].push_back(v); if(!direct)g[v].push_back(u); } return g; } template vector>> inline get_weighted_graph(int n,int m = -1,bool direct = false){ if(m == -1)m = n - 1; vector>> g(n); while(m--){ int u,v; cin >> u >> v; u--; v--; ll w; cin >> w; g[u].push_back(pair(w,v)); if(!direct)g[v].push_back(pair(w,u)); } return g; } // ダイクストラ // 引数はグラフのvectorと始点となるノード // ただしグラフのvectorの中身はg[i][j] = // {c,t}の時、点iから出ているj番目の矢印は、コストcでtへ向かうという意味 // pairのfirstがコストなので注意!!!! // {他のノードへの距離を入れたvector,経路復元において1個前はどこに戻るか}を返す関数 // s→始点となるノード pair, vector> ococo_dijkstra(vector>> const &g, int s) { vector distance(g.size(), LLONG_MAX); priority_queue, vector>, greater>> que; que.emplace(0, s); vector visited(g.size(), false); distance[s] = 0; vector prev(g.size(), -1); prev[s] = s; while(!que.empty()) { int karis = que.top().second; que.pop(); if(!visited[karis]) { for(int i = 0; i < g[karis].size(); i++) { if(distance[g[karis][i].second] > distance[karis] + g[karis][i].first) { distance[g[karis][i].second] = distance[karis] + g[karis][i].first; que.emplace(distance[g[karis][i].second], g[karis][i].second); prev[g[karis][i].second] = karis; } } } visited[karis] = true; } pair, vector> ans; ans.first = distance; ans.second = prev; return ans; } #define MULTI_TEST_CASE false void solve(void){ //問題を見たらまず「この問題設定から言えること」をいっぱい言う //よりシンプルな問題に言い換えられたら、言い換えた先の問題を自然言語ではっきりと書く //複数の解法のアイデアを思いついた時は全部メモしておく //g++ -D_GLIBCXX_DEBUG -Wall -O2 g.cpp -o o int n,m; ll c; cin >> n >> m >> c; vector> g(n),gc(n); while(m--){ int u,v; cin >> u >> v; u--; v--; ll w; cin >> w; g[u].push_back(pair(w,v)); g[v].push_back(pair(w,u)); gc[u].push_back(pair(w + c,v)); gc[v].push_back(pair(w + c,u)); } vector dij = ococo_dijkstra(gc,0).first; //cost_sum,idx,coupon_used using tlib = tuple; vector used_cost(n,LLONG_MAX / 2); vector unused_cost(n,LLONG_MAX / 2); unused_cost[n - 1] = 0; priority_queue,greater> que; que.push(tuple(0,n - 1,false)); vector used_seen(n,false),unused_seen(n,false); while(!que.empty()){ ll cost_sum; int idx; bool used; tie(cost_sum,idx,used) = que.top(); que.pop(); if(used){ if(used_seen[idx])continue; used_seen[idx] = true; } if(!used){ if(unused_seen[idx])continue; unused_seen[idx] = true; } for(int i = 0; i < (int)gc[idx].size(); i++){ int to = gc[idx][i].second; ll w = gc[idx][i].first; if(used){ if(chmin(used_cost[to],cost_sum + w)){ que.push(tuple(cost_sum + w,to,true)); } } if(!used){ if(chmin(unused_cost[to],cost_sum + w)){ que.push(tuple(cost_sum + w,to,false)); } if(chmin(used_cost[to],cost_sum + c)){ que.push(tuple(cost_sum + c,to,true)); } } } } for(int i = 1; i < n; i++){ ll ans = dij[n - 1]; ll ans2 = dij[i]; ans2 += used_cost[i]; cout << min(ans,ans2) << el; } return; } void calc(void){ return; } signed main(void){ cin.tie(nullptr); ios::sync_with_stdio(false); calc(); int t = 1; if(MULTI_TEST_CASE)cin >> t; while(t--){ solve(); } return 0; }