Submission #145417

#TimeUsernameProblemLanguageResultExecution timeMemory
145417peijarCommuter Pass (JOI18_commuter_pass)C++14
100 / 100
928 ms25908 KiB
#include <bits/stdc++.h> using namespace std; typedef long long ll; struct Arete { ll v, c; }; struct Situation { ll u, dis; bool operator<(Situation other) const { return (dis > other.dis or (dis == other.dis and u > other.u)); } }; const int MAXN = 1e5; const ll INF = 1e18; const int U = 0; const int V = 1; const int S = 2; const int T = 3; vector<Arete> G[MAXN]; ll dis[4][MAXN]; ll uv_from_st[4][4][MAXN]; ll u_from_s[MAXN], v_from_s[MAXN], u_from_t[MAXN]; int special_nodes[4]; int nb_noeuds, nb_aretes; int u, v, s, t; void read_input(void) { cin >> nb_noeuds >> nb_aretes; cin >> s >> t; cin >> u >> v; s--, t--, u--, v--; special_nodes[U] = u, special_nodes[V] = v, special_nodes[S]=s, special_nodes[T]=t; for (int i(0); i < nb_aretes; ++i) { int a, b; ll c; cin >> a >> b >> c; G[a-1].push_back({b-1, c}); G[b-1].push_back({a-1, c}); } } void run_dis(int from) { for (int i(0); i < nb_noeuds; ++i) dis[from][i] = INF; dis[from][special_nodes[from]] = 0; priority_queue<Situation> Q; Q.push({special_nodes[from], 0}); while (!Q.empty()) { auto node = Q.top(); Q.pop(); int x = node.u; ll d = node.dis; if (d > dis[from][x]) continue; for (auto e : G[x]) if (d + e.c < dis[from][e.v]) { dis[from][e.v] = d+e.c; Q.push({e.v, d+e.c}); } } } void run_weird_dis(int from, int to) { for (int i(0); i < nb_noeuds; ++i) uv_from_st[from][to][i] = INF; uv_from_st[from][to][special_nodes[from]] = dis[from][special_nodes[to]]; priority_queue<Situation> Q; Q.push({special_nodes[from], uv_from_st[from][to][special_nodes[from]]}); while (!Q.empty()) { auto node = Q.top(); Q.pop(); int x = node.u; ll d = node.dis; if (uv_from_st[from][to][x] < d) continue ; for (auto e : G[x]) if (dis[from][e.v] == dis[from][x] + e.c && uv_from_st[from][to][e.v] > uv_from_st[from][to][x]) { uv_from_st[from][to][e.v] = min(uv_from_st[from][to][x], dis[to][e.v]); Q.push({e.v, uv_from_st[from][to][e.v]}); } } } int main(void) { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); read_input(); for (int i(0); i < 4; ++i) run_dis(i); for (int from(2); from < 4; ++from) for (int to(0); to < 2; ++to) run_weird_dis(from, to); ll shortest = dis[U][v]; for (int x(0); x < nb_noeuds; ++x) { if (dis[S][x] + dis[T][x] == dis[S][t]) { shortest = min(shortest, min(uv_from_st[S][U][x] + dis[V][x], uv_from_st[T][V][x] + dis[U][x])); shortest = min(shortest, min(uv_from_st[S][V][x] + dis[U][x], uv_from_st[T][U][x] + dis[V][x])); } } cout << shortest << endl; }
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