Submission #1084342

#TimeUsernameProblemLanguageResultExecution timeMemory
1084342EquinoxCeste (COCI17_ceste)C++17
96 / 160
2602 ms856 KiB
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef pair<int,int> pii; typedef pair<ll,ll> pll; typedef pair<double,double> pdd; typedef complex<double> cpx; #define fastio cin.tie(0)->sync_with_stdio(0); cout.tie(0); #define all(x) x.begin(),x.end() #define compress(x) x.erase(unique(all(x)),x.end()) #define ff first #define ss second struct Edge{ ll x,t,c; }; ll n,m,dist[2010]; pll dsum[2010]; vector<Edge> g[2010]; ll ans = (ll)1e15; pll dijkstra(ll x, ll a, ll b){ for(int i=1;i<=n;i++){ dist[i] = (ll)1e15; dsum[i] = {(ll)1e15,(ll)1e15}; } dist[1] = 0; dsum[1] = {0,0}; priority_queue<pair<pll,pll> > pq; pq.push({{0,1},{0,0}}); while(!pq.empty()){ ll c = pq.top().ff.ss, w = -pq.top().ff.ff; ll ca = pq.top().ss.ff, cb = pq.top().ss.ss; pq.pop(); if(dist[c]<w) continue; for(auto i:g[c]){ ll nx = i.x, nw = w + a*i.t + b*i.c; ll na = ca + i.t, nb = cb + i.c; if(nw<dist[nx]){ dist[nx] = nw; dsum[nx] = {na,nb}; //cout << i.x << " " << c << " " << nx << "\n"; pq.push({{-dist[nx],nx},{na,nb}}); } } } if(dist[x]>(ll)1e14) return dsum[x]; else{ ans = min(ans,dsum[x].ff*dsum[x].ss); return dsum[x]; } } void qhull(ll x, pll a, pll b){ pll c = dijkstra(x,a.ss-b.ss,b.ff-a.ff); if((b.ff-a.ff)*(c.ss-a.ss)==(b.ss-a.ss)*(c.ff-a.ff)) return; qhull(x,a,c); qhull(x,c,b); } ll solve(ll x){ ans = (ll)1e18; pll lc = dijkstra(x,1,0); pll rc = dijkstra(x,0,1); // cout << lc.ff << " " << lc.ss << "\n"; // cout << rc.ff << " " << rc.ss << "\n"; if(lc.ff>(ll)1e14) return -1; qhull(x,lc,rc); return ans; } int main(){ fastio; cin >> n >> m; for(int i=0;i<m;i++){ ll x,y,z,w; cin >> x >> y >> z >> w; g[x].push_back({y,z,w}); g[y].push_back({x,z,w}); } for(int i=2;i<=n;i++){ cout << solve(i) << "\n"; } }
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