Submission #854726

#TimeUsernameProblemLanguageResultExecution timeMemory
854726lmToT27Commuter Pass (JOI18_commuter_pass)C++14
16 / 100
301 ms38240 KiB
#include <bits/stdc++.h> using namespace std; long long dp[100005][5], dist[100005]; vector <pair <int, int>> ke[100005]; pair <long long, long long> f[100005][5]; long long ans = LLONG_MAX; int n, m, s[5]; struct lmt { long long cost, sub; int u, type; bool operator < (const lmt other) const { if (cost != other.cost) return cost > other.cost; return sub > other.sub; } }; priority_queue <lmt> qz; void dijkstra(int id) { for (int i = 1; i <= n; i++) dist[i] = LLONG_MAX; dist[s[id]] = 0; priority_queue <pair <long long, int>, vector <pair <long long, int>>, greater <pair <long long, int>>> q; q.push({0, s[id]}); while (q.size()) { long long now = q.top().first; int u = q.top().second; q.pop(); if (dist[u] != now) continue; for (pair <int, int> next : ke[u]) { int v = next.first; int w = next.second; if (dist[v] > now + w) { dist[v] = now + w; q.push({dist[v], v}); } } } for (int i = 1; i <= n; i++) { dp[i][id - 2] = dist[i]; dp[i][2] += dist[i]; } // ans = dist[s[id ^ 1]]; } void solve() { for (int i = 1; i <= n; i++) { for (int j = 0; j <= 2; j++) f[i][j] = {LLONG_MAX, dp[i][j]}; } for (int j = 0; j <= 2; j++) { f[s[0]][j] = {0, dp[s[0]][j]}; qz.push({0, dp[s[0]][j], s[0], j}); } while (qz.size()) { long long val = qz.top().cost; long long to = qz.top().sub; int u = qz.top().u; int type = qz.top().type; qz.pop(); if (f[u][type].first != val || f[u][type].second != to) continue; for (pair <int, int> next : ke[u]) { int v = next.first; int w = next.second; if (val + w < f[v][type].first) { f[v][type].first = val + w; f[v][type].second = min(dp[v][type], f[u][type].second); qz.push({f[v][type].first, f[v][type].second, v, type}); } else if (val + w == f[v][type].first) { if (f[u][type].second < f[v][type].second) { f[v][type].second = f[u][type].second; qz.push({f[v][type].first, f[v][type].second, v, type}); } } if (type != 2) { if (val + w < f[v][2].first) { f[v][2].first = val + w; f[v][2].second = f[u][type].second + min(dp[v][type ^ 1], dp[u][type ^ 1]); qz.push({f[v][2].first, f[v][2].second, v, 2}); } else if (val + w == f[v][2].first) { if (f[u][type].second + min(dp[v][type ^ 1], dp[u][type ^ 1]) < f[v][2].second) { f[v][type].second = f[u][type].second + min(dp[v][type ^ 1], dp[u][type ^ 1]); qz.push({f[v][type].first, f[v][type].second, v, type}); } } } } } ans = min(ans, f[s[1]][2].second); } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); // freopen("TASK.INP", "r", stdin); // freopen("TASK.OUT", "w", stdout); cin >> n >> m; for (int i = 0; i <= 3; i++) cin >> s[i]; for (int i = 1; i <= m; i++) { int u, v, c; cin >> u >> v >> c; ke[u].push_back({v, c}); ke[v].push_back({u, c}); } dijkstra(2); dijkstra(3); solve(); cout << ans; return 0; }
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