Submission #1025213

#TimeUsernameProblemLanguageResultExecution timeMemory
1025213Amirreza_FakhriLOSTIKS (INOI20_lostiks)C++17
100 / 100
1130 ms403332 KiB
// In the name of the God #include <bits/stdc++.h> #define ll long long #define int long long #define pb push_back #define F first #define S second #define mp make_pair #define pii pair <int, int> #define smin(x, y) (x) = min((x), (y)) #define smax(x, y) (x) = max((x), (y)) #define all(x) (x).begin(), (x).end() using namespace std; //#pragma GCC optimize("O3,unroll-loops") //#pragma GCC target("avx2") const int inf = 1e9+7; const int mod = 998244353; const int maxn = 1e6+5, lg = 22; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); int n, m, s, t, ti = 0, h[maxn], in[maxn], out[maxn], par[maxn][lg], dist[lg][lg], ne[lg][lg], dp[1<<lg][lg]; vector <int> adj[maxn]; vector <pair <pii, int>> g; void dfs(int v, int p) { par[v][0] = p; for (int i = 1; i < lg; i++) par[v][i] = par[par[v][i-1]][i-1]; in[v] = ti++; for (int u : adj[v]) { if (u == p) continue; h[u] = h[v]+1; dfs(u, v); } out[v] = ti; } int lca(int v, int u) { if (h[v] < h[u]) swap(v, u); int x = h[v]-h[u]; for (int i = 0; i < lg; i++) { if (x&(1<<i)) v = par[v][i]; } if (v == u) return v; for (int i = lg-1; i >= 0; i--) { if (par[v][i] != par[u][i]) v = par[v][i], u = par[u][i]; } return par[v][0]; } int d(int v, int u) { int z = lca(u, v); return h[v]+h[u]-h[z]*2; } bool isd(int v, int u) { return in[v] <= in[u] and out[v] >= out[u]; } int f(int v, int u) { int res = 0, z = lca(u, v); for (int i = 0; i < m; i++) { int x = g[i].F.F, y = g[i].F.S; bool f = 0; f = (isd(y, v)&isd(z, x))|(isd(y, u)&isd(z, x)); if (f) res += 1<<i; } return res; } int32_t main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); cin >> n >> s >> t; s--, t--; for (int i = 1; i < n; i++) { int v, u, w; cin >> v >> u >> w; v--, u--, w--; adj[v].pb(u), adj[u].pb(v); if (w != -1) g.pb(mp(mp(v, u), w)); } m = g.size(); dfs(s, s); for (auto &p : g) if (h[p.F.F] > h[p.F.S]) swap(p.F.F, p.F.S); for (int i = 0; i < m; i++) { for (int j = 0; j < m; j++) { dist[i][j] = d(g[i].F.F, g[j].S); ne[i][j] = f(g[i].F.F, g[j].S); } } for (int i = 0; i < (1<<m); i++) { for (int j = 0; j < m; j++) dp[i][j] = inf*inf; } for (int i = 0; i < m; i++) { if (f(s, g[i].S) == 0 and f(g[i].S , g[i].F.F) == 0) dp[1<<i][i] = d(s, g[i].S)+d(g[i].S, g[i].F.F); } for (int i = 0; i < (1<<m); i++) { for (int j = 0; j < m; j++) { if (i&(1<<j)) { for (int k = 0; k < m; k++) { if (!(i&(1<<k))) { if ((ne[j][k]|i) == i and (ne[k][k]|i) == i) smin(dp[i+(1<<k)][k], dp[i][j]+dist[j][k]+dist[k][k]); } } } } } if (s == t) return cout << 0 << '\n', 0; int ali = -1, p = t; while (p != s) { for (int i = 0; i < m; i++) { if (g[i].F.S == p) { ali = i; goto TH; } } p = par[p][0]; } TH:; if (ali == -1) return cout << d(s, t) << '\n', 0; int amir = d(g[ali].F.F, t), ans = inf*inf; for (int i = 0; i < (1<<m); i++) smin(ans, amir+dp[i][ali]); cout << (ans == inf*inf ? -1 : ans) << '\n'; return 0; } /* srand(time(0)); cout << (rand()%1900) + 1 << ' ' << (rand()%2)+5 << '\n'; */
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