#include #define fi first #define se second #define rep(i,s,n) for (int i = (s); i < (n); ++i) #define rrep(i,g,n) for (int i = (n)-1; i >= (g); --i) #define all(a) a.begin(),a.end() #define rall(a) a.rbegin(),a.rend() #define len(x) (int)(x).size() #define dup(x,y) (((x)+(y)-1)/(y)) #define pb push_back #define eb emplace_back #define Field(T) vector> using namespace std; using ll = long long; using ull = unsigned long long; template using pq = priority_queue,greater>; using P = pair; templatebool chmax(T&a,T b){if(abool chmin(T&a,T b){if(b> n >> m; assert(4 <= n && n <= 200000); assert(1 <= m && m <= 300000); vector> G(n), H(n); set

e_set; rep(i,0,m) { int u, v, c; cin >> u >> v >> c; assert(1 <= u && u <= n && 1 <= v && v <= n); assert(u != v); assert(1 <= c && c <= 1000000000); e_set.emplace(u, v); --u, --v; G[u].eb(v, c), H[v].eb(u, c); } assert(len(e_set) == m); string s; cin >> s; assert(len(s) == n); rep(i,0,n) assert('A' <= s[i] && s[i] <= 'Z'); vector d1(2*n, inf); d1[0] = 0; pq> que; que.emplace(0, 0); while(!que.empty()) { auto [cur, v] = que.top(); que.pop(); if (d1[v] < cur) continue; if (v < n && s[v] == 'K') { if (d1[v+n] > d1[v]) { d1[v+n] = d1[v]; que.emplace(d1[v+n], v+n); } } if (v < n) { for (auto [nv, c] : G[v]) { if (d1[nv] > d1[v]+c) { d1[nv] = d1[v]+c; que.emplace(d1[nv], nv); } } } else { for (auto [nv, c] : G[v-n]) { if (d1[nv+n] > d1[v]+c) { d1[nv+n] = d1[v]+c; que.emplace(d1[nv+n], nv+n); } } } } function,pair>>(vector> &, vector> &)> f = [](vector> G, vector> &d0) { int n = len(G); vector,pair>> dist(n, {{inf,-1}, {inf,-1}}); pq, int>> que; for (auto [v, d] : d0) { dist[v].fi = {d, v}; que.emplace(make_pair(d, v), v); } while(!que.empty()) { auto [p, v] = que.top(); que.pop(); if (dist[v].fi != p && dist[v].se != p) continue; for (auto [nv, c] : G[v]) { pair np = {p.fi+c, p.se}; if (np.fi < dist[nv].fi.fi) { if (np.se != dist[nv].fi.se) { dist[nv].se = dist[nv].fi; dist[nv].fi = np; } else { dist[nv].fi = np; } que.push({np, nv}); } else if (np.fi < dist[nv].se.fi) { if (np.se != dist[nv].fi.se) { dist[nv].se = np; que.push({np, nv}); } } } } return dist; }; vector> dKC0, dC0; rep(i,0,n) { if (s[i] == 'C') { if (d1[i+n] < inf) { dKC0.eb(i, d1[i+n]); } dC0.eb(i, 0); } } auto dKC = f(G, dKC0), dC = f(H, dC0); ll ans = inf; rep(i,0,n) { if (s[i] == 'P') { if (dKC[i].fi.se != dC[i].fi.se) ans = min(ans, dKC[i].fi.fi+dC[i].fi.fi); if (dKC[i].fi.se != dC[i].se.se) ans = min(ans, dKC[i].fi.fi+dC[i].se.fi); if (dKC[i].se.se != dC[i].fi.se) ans = min(ans, dKC[i].se.fi+dC[i].fi.fi); } } if (ans == inf) ans = -1; cout << ans << endl; return 0; }