#include #include using namespace std; using ll = long long; using pii = pair; using pll = pair; using vi = vector; using vl = vector; #define rep3(i, a, b, c) for (ll i = (a); i < (b); i += (c)) #define rep2(i, a, b) rep3(i, a, b, 1) #define rep1(i, n) rep2(i, 0, n) #define rep0(n) rep1(aaaaa, n) #define ov4(a, b, c, d, name, ...) name #define rep(...) ov4(__VA_ARGS__, rep3, rep2, rep1, rep0)(__VA_ARGS__) #define per(i, a, b) for (ll i = (a) - 1; i >= (b); i--) #define fore(e, v) for (auto &&e : v) #define all(a) begin(a), end(a) #define sz(a) (int)(size(a)) #define lb(v, x) (lower_bound(all(v), x) - begin(v)) #define eb emplace_back template bool chmin(T &a, const S &b) { return a > b ? a = b, 1 : 0; } template bool chmax(T &a, const S &b) { return a < b ? a = b, 1 : 0; } const int INF = 1e9 + 100; const ll INFL = 3e18 + 100; #define i128 __int128_t struct _ { _() { cin.tie(0)->sync_with_stdio(0), cout.tie(0); } } __; int main() { ll N, M, C; cin >> N >> M >> C; vector G(N, vector()); rep(i, M) { ll U, V, W; cin >> U >> V >> W; --U, --V; G[U].push_back(pll{V, W}); G[V].push_back(pll{U, W}); } vl fDist(N, INFL), bDist0(N, INFL), bDist1(N, INFL); fDist[0] = 0; priority_queue, greater> pq; pq.push(pll{0, 0}); while (!pq.empty()) { auto [w, v] = pq.top(); pq.pop(); if (fDist[v] < w) continue; for (auto [u, c] : G[v]) { if (fDist[u] > w + c + C) { fDist[u] = w + c + C; pq.push(pll{fDist[u], u}); } } } bDist0[N - 1] = 0; pq.push(pll{0, N - 1}); while (!pq.empty()) { auto [w, v] = pq.top(); pq.pop(); if (bDist0[v] < w) continue; for (auto [u, c] : G[v]) { if (bDist0[u] > w + c + C) { bDist0[u] = w + c + C; pq.push(pll{bDist0[u], u}); } if (bDist1[u] > w + C) { bDist1[u] = w + C; } } } rep(i, N) chmin(bDist1[i], bDist0[i]); rep(i, N) { pq.push(pll{bDist1[i], i}); } while (!pq.empty()) { auto [w, v] = pq.top(); pq.pop(); if (bDist1[v] < w) continue; for (auto [u, c] : G[v]) { if (bDist1[u] > w + c + C) { bDist1[u] = w + c + C; pq.push(pll{bDist1[u], u}); } } } ll base = fDist[N - 1]; rep(i, 1, N) { cout << min(base, fDist[i] + bDist1[i]) << '\n'; } }