#pragma GCC optimize ("O3") #pragma GCC target ("avx") #include "bits/stdc++.h" // define macro "/D__MAI" using namespace std; typedef long long int ll; #define xprintf(fmt,...) fprintf(stderr,fmt,__VA_ARGS__) #define debugv(v) {printf("L%d %s > ",__LINE__,#v);for(auto e:v){cout< ",__LINE__,#m);for(int x=0;x<(w);x++){cout<<(m)[x]<<" ";}cout<\n",__LINE__,#m);for(int y=0;y<(h);y++){for(int x=0;x<(w);x++){cout<<(m)[y][x]<<" ";}cout< ostream& operator <<(ostream &o, const pair p) { o << "(" << p.first << ":" << p.second << ")"; return o; } template inline size_t argmin(iterator begin, iterator end) { return distance(begin, min_element(begin, end)); } template inline size_t argmax(iterator begin, iterator end) { return distance(begin, max_element(begin, end)); } template T& maxset(T& to, const T& val) { return to = max(to, val); } template T& minset(T& to, const T& val) { return to = min(to, val); } mt19937_64 randdev(8901016); inline ll rand_range(ll l, ll h) { return uniform_int_distribution(l, h)(randdev); } #ifdef __MAI #define getchar_unlocked getchar #define putchar_unlocked putchar #endif #ifdef __VSCC #define getchar_unlocked _getchar_nolock #define putchar_unlocked _putchar_nolock #endif namespace { #define isvisiblechar(c) (0x21<=(c)&&(c)<=0x7E) class MaiScanner { public: template void input_integer(T& var) { var = 0; T sign = 1; int cc = getchar_unlocked(); for (; cc<'0' || '9'>(int& var) { input_integer(var); return *this; } inline MaiScanner& operator>>(long long& var) { input_integer(var); return *this; } inline MaiScanner& operator>>(string& var) { int cc = getchar_unlocked(); for (; !isvisiblechar(cc); cc = getchar_unlocked()); for (; isvisiblechar(cc); cc = getchar_unlocked()) var.push_back(cc); return *this; } template void in(IT begin, IT end) { for (auto it = begin; it != end; ++it) *this >> *it; } }; } MaiScanner scanner; class GraphE { public: typedef int W_T; struct Edge { int u, v; W_T value; Edge(int from = 0, int to = 0, W_T value = 0) :u(from), v(to), value(value) {} inline int to(int _v) { return _v == v ? u : v; } }; size_t n; vector> vertex_to; vector edges; GraphE(int n) :n(n), vertex_to(n) { } void resize(size_t _n) { n = _n; vertex_to.resize(_n); } void connect(int from, int to, W_T val = 0) { vertex_to[from].push_back(edges.size()); vertex_to[to].push_back(edges.size()); edges.emplace_back(from, to, val); } inline size_t degree(int v) { return vertex_to[v].size(); } }; class DGraph { public: size_t n; vector> vertex_to; vector> vertex_from; DGraph(size_t n) :n(n), vertex_to(n), vertex_from(n) {} void connect(int from, int to) { vertex_to[from].emplace_back(to); vertex_from[to].emplace_back(from); } void resize(size_t _n) { n = _n; vertex_to.resize(_n); vertex_from.resize(_n); } }; class Graph { public: size_t n; vector> vertex_to; Graph(size_t n) :n(n), vertex_to(n) {} void connect(int from, int to) { vertex_to[from].emplace_back(to); vertex_to[to].emplace_back(from); } void resize(size_t _n) { n = _n; vertex_to.resize(_n); } }; ll m, n, kei; ll starti, goali; GraphE graph(1); int main() { scanner >> n >> m >> starti >> goali; graph.resize(n); repeat(i, m) { int a, b, c; scanner >> a >> b >> c; graph.connect(a, b, c); } vector dist(n, 5e15); dist[starti] = 1; priority_queue> pq; pq.emplace(1, starti); while (!pq.empty()) { auto p = pq.top(); ll d = p.first; int i = p.second; pq.pop(); if (dist[i] < d) continue; for (int ei : graph.vertex_to[i]) { auto edge = graph.edges[ei]; int j = edge.to(i); if (edge.value + dist[i] < dist[j]) { dist[j] = edge.value + dist[i]; pq.emplace(dist[j], j); } } } DGraph route(n); vector visited(n); function dfs = [&](int idx, int from) { if (visited[idx]) return; visited[idx] = true; for (int ei : graph.vertex_to[idx]) { auto edge = graph.edges[ei]; int j = edge.to(idx); if (dist[idx] - edge.value == dist[j]) { route.connect(j, idx); dfs(j, idx); } } }; dfs(goali, -1); int pos = starti; int prev = -1; while (pos != goali) { printf("%d ", pos); sort(ALL(route.vertex_to[pos])); for (int to : route.vertex_to[pos]) { if (to == prev) continue; prev = pos; pos = to; break; } } cout << goali << endl; return 0; }