Submission #1230655

#TimeUsernameProblemLanguageResultExecution timeMemory
1230655biankRobot (JOI21_ho_t4)C++20
100 / 100
273 ms40876 KiB
#include <bits/stdc++.h> using namespace std; #define forsn(i, s, n) for (int i = int(s); i < int(n); i++) #define forn(i, n) forsn(i, 0, n) #define dforsn(i, s, n) for (int i = int(n) - 1; i >= int(s); i--) #define dforn(i, n) dforsn(i, 0, n) #define sz(x) int(x.size()) #define all(x) begin(x), end(x) using ll = long long; using ld = long double; using vi = vector<int>; using vb = vector<bool>; using vll = vector<ll>; using ii = pair<int, int>; using iii = tuple<int, int, ll>; #define fst first #define snd second #define pb push_back #define eb emplace_back const ll INF = 1e18; struct Edge { int u, v, c; ll p; }; template<typename T> int pos(vector<T> &vals, T x) { return int(lower_bound(all(vals), x) - begin(vals)); } int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n, m; cin >> n >> m; vector<Edge> graph(m); vector<vector<iii>> adj(n); vector<vi> colors(n, vi(1, -1)); vector<vll> sum(n); for (auto &[u, v, c, p] : graph) { cin >> u >> v >> c >> p; --u, --v; colors[u].pb(c); colors[v].pb(c); adj[u].eb(c, v, p); adj[v].eb(c, u, p); } forn(u, n) { sort(all(adj[u])); sort(all(colors[u])); colors[u].erase(unique(all(colors[u])), end(colors[u])); sum[u].assign(sz(colors[u]), 0LL); } for (auto &[u, v, c, p] : graph) { sum[u][pos(colors[u], c)] += p; sum[v][pos(colors[v], c)] += p; } vector<vll> dist(n); forn(u, n) dist[u].assign(sz(colors[u]), INF); priority_queue<tuple<ll, int, int>> pq; auto PUSH = [&](int u, int c, ll d) { if (d < dist[u][c]) { dist[u][c] = d; pq.emplace(-dist[u][c], u, c); } }; PUSH(0, 0, 0LL); while (!pq.empty()) { auto [d, u, c] = pq.top(); pq.pop(); d *= -1; if (dist[u][c] != d) continue; if (c != 0) { int lo = pos(adj[u], iii{colors[u][c], 0, 0}); int hi = pos(adj[u], iii{colors[u][c] + 1, 0, 0}); forsn(id, lo, hi) { auto [_, v, p] = adj[u][id]; PUSH(v, 0, d + sum[u][c] - p); } } else { for (auto [k, v, p] : adj[u]) { PUSH(v, pos(colors[v], k), d); PUSH(v, 0, d + min(p, sum[u][pos(colors[u], k)] - p)); } } } if (dist[n - 1][0] == INF) cout << "-1\n"; else cout << dist[n - 1][0] << '\n'; return 0; }
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