#include using namespace std; using ll = long long; template struct csr { using itr = typename std::vector::iterator; struct Node { itr st, en; itr begin() { return st; } itr end() { return en; } int size() { return en - st; } T operator[](int p){ return st[p]; } }; const int N; std::vector start; std::vector E; std::vector> edge; csr(int n) : N(n), start(n + 1) {} void add_edge(int u, T v){ assert(0 <= u && u < N); start[u + 1]++; edge.emplace_back(u, v); } void build(){ E.resize(edge.size()); for(int i = 0; i < N; i++) start[i + 1] += start[i]; auto cnt = start; for(auto [u, v] : edge) E[cnt[u]++] = v; } Node operator[](int p) { return Node{E.begin() + start[p], E.begin() + start[p + 1]}; } }; int main(){ ios::sync_with_stdio(false); cin.tie(0); int n, m, c; cin >> n >> m >> c; csr> g(n); for(int i = 0; i < m; i++){ int u, v, w; cin >> u >> v >> w; u--, v--; g.add_edge(u, make_pair(v, w)); g.add_edge(v, make_pair(u, w)); } g.build(); vector dp(n, 1ll << 60); vector dp2(2 * n, 1ll << 60); dp[0] = 0; dp2[n - 1] = 0; priority_queue, vector>, greater>> pq; pq.emplace(0, 0); while(!pq.empty()){ auto [d, v] = pq.top(); pq.pop(); if(d > dp[v]) continue; for(auto [u, w] : g[v]){ if(d + w + c >= dp[u]) continue; dp[u] = d + w + c; pq.emplace(dp[u], u); } } pq.emplace(0, n - 1); while(!pq.empty()){ auto [d, v] = pq.top(); pq.pop(); if(d > dp2[v]) continue; bool flg = false; if(v >= n){ flg = true; v -= n; } for(auto [u, w] : g[v]){ if(flg) u += n; if(d + w + c >= dp2[u]) continue; dp2[u] = d + w + c; pq.emplace(dp2[u], u); } if(flg) continue; for(auto [u, w] : g[v]){ if(d + c >= dp2[u + n]) continue; dp2[u + n] = d + c; pq.emplace(dp2[u + n], u + n); } } for(int i = 1; i < n; i++){ cout << min(dp[n - 1], dp[i] + dp2[i + n]) << '\n'; } }