#include using namespace std; #define forr(x,arr) for(auto&& x:arr) #define _overload3(_1,_2,_3,name,...) name #define _rep2(i,n) _rep3(i,0,n) #define _rep3(i,a,b) for(int i=int(a);i=int(a);i--) #define rrep(...) _overload3(__VA_ARGS__,_rrep3,_rrep2,)(__VA_ARGS__) #define all(x) (x).begin(),(x).end() #define bit(n) (1LL<<(n)) #define sz(x) ((int)(x).size()) #define TEN(n) ((ll)(1e##n)) #define fst first #define snd second string DBG_DLM(int &i){return(i++==0?"":", ");} #define DBG_B(exp){int i=0;os<<"{";{exp;}os<<"}";return os;} templateostream&operator<<(ostream&os,vectorv); templateostream&operator<<(ostream&os,setv); templateostream&operator<<(ostream&os,queueq); templateostream&operator<<(ostream&os,priority_queueq); templateostream&operator<<(ostream&os,pairp); templateostream&operator<<(ostream&os,mapmp); templateostream&operator<<(ostream&os,unordered_mapmp); templatevoid DBG(ostream&os,TPL t){} templatevoid DBG(ostream&os,TPL t){os<<(I==0?"":", ")<(t);DBG(os,t);} templatevoid DBG(ostream&os,pairp,string delim){os<<"("<ostream&operator<<(ostream&os,tuplet){os<<"(";DBG<0,tuple,Ts...>(os,t);os<<")";return os;} templateostream&operator<<(ostream&os,pairp){DBG(os,p,", ");return os;} templateostream&operator<<(ostream&os,vectorv){DBG_B(forr(t,v){os<ostream&operator<<(ostream&os,sets){DBG_B(forr(t,s){os<ostream&operator<<(ostream&os,queueq){DBG_B(for(;q.size();q.pop()){os<ostream&operator<<(ostream&os,priority_queueq){DBG_B(for(;q.size();q.pop()){os<ostream&operator<<(ostream&os,mapm){DBG_B(forr(p,m){os<");});} templateostream&operator<<(ostream&os,unordered_mapm){DBG_B(forr(p,m){os<");});} #define DBG_OVERLOAD(_1,_2,_3,_4,_5,_6,macro_name,...)macro_name #define DBG_LINE(){char s[99];sprintf(s,"line:%3d | ",__LINE__);cerr<;using pll=pair;using pil=pair;using pli=pair; using vs=vector;using vvs=vector;using vvvs=vector; using vb=vector;using vvb=vector;using vvvb=vector; using vi=vector;using vvi=vector;using vvvi=vector; using vl=vector;using vvl=vector;using vvvl=vector; using vd=vector;using vvd=vector;using vvvd=vector; using vpii=vector;using vvpii=vector;using vvvpii=vector; templatebool amax(A&a,const B&b){return b>a?a=b,1:0;} templatebool amin(A&a,const B&b){return b>l;return l;} string rs(){string s;cin>>s;return s;} using Weight = int; struct Edge { int dst; Weight weight; Edge() : dst(0), weight(0) {} Edge(int d, Weight w = 1) : dst(d), weight(w) {} }; ostream &operator<<(ostream &os, const Edge &e) { return os << e.dst; } using Edges = vector; using Graph = vector; ll solve() { int n = ri(), m = ri(), k = ri(), s = ri(), t = ri(); vi A(m), B(m), C(m); vvi V(n); rep(i, m) { int a = ri() - 1, b = ri(), c = ri(); A[i] = a; B[i] = b; C[i] = c; V[a].emplace_back(b); V[a+1].emplace_back(c); } V[0].emplace_back(s); V[n-1].emplace_back(t); int cnt = 0; vector> I(n); rep(i, n) { sort(all(V[i])); V[i].erase(unique(V[i].begin(), V[i].end()), V[i].end()); rep(j, sz(V[i])) { I[i][V[i][j]] = cnt++; } } Graph G(cnt); rep(i, m) { int a = A[i], b = B[i], c = C[i]; int v1 = I[a][b]; int v2 = I[a+1][c]; G[v1].emplace_back(v2, 0); out(v1, v2); } rep(i, n) { int nv = sz(V[i]); rep(j, nv-1) { int f1 = V[i][j]; int f2 = V[i][j+1]; int v1 = I[i][f1]; int v2 = I[i][f2]; G[v1].emplace_back(v2, abs(f1 - f2)); G[v2].emplace_back(v1, abs(f1 - f2)); out(v1, v2); } } int start = I[0][s]; int goal = I[n-1][t]; out(G); out(start); out(goal); vl D(cnt, 1e18); { priority_queue, greater> q; D[start] = 0; q.emplace(0, start); while (!q.empty()) { ll c; int v; tie(c, v) = q.top(); q.pop(); out(c, v); if (v == goal) { return D[v]; } if (D[v] < c) continue; forr(edg, G[v]) { int nv = edg.dst; ll nc = c + edg.weight; if (D[nv] > nc) { D[nv] = nc; q.emplace(nc, nv); } } } } out(D); return -1; } void Main() { cout << solve() << endl; } signed main() { cin.tie(nullptr); ios::sync_with_stdio(false); Main(); return 0; }