Submission #376658

#TimeUsernameProblemLanguageResultExecution timeMemory
376658jeroenodbtimeismoney (balkan11_timeismoney)C++14
55 / 100
471 ms528 KiB
#include "bits/stdc++.h" using namespace std; #define all(x) begin(x),end(x) template<typename A, typename B> ostream& operator<<(ostream &os, const pair<A, B> &p) { return os << '(' << p.first << ", " << p.second << ')'; } template<typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type> ostream& operator<<(ostream &os, const T_container &v) { string sep; for (const T &x : v) os << sep << x, sep = " "; return os; } #define debug(a) cerr << "(" << #a << ": " << a << ")\n"; typedef long long ll; typedef vector<int> vi; typedef vector<vi> vvi; typedef pair<int,int> pi; const int mxN = 200+1, mxM=1e4+2, oo = 1e9; typedef complex<int> pt; #define X real() #define Y imag() auto cross(pt u, pt v) {return (ll)u.X*v.Y-(ll)u.Y*v.X;} auto sgn(ll a) {return a==0?0:(a>0?1:-1);} auto ccw(pt p1, pt p2, pt p3) {auto u = p2-p1, v = p3-p2;return cross(u,v);} auto in(pt p1, pt p2) {return (ll)p1.X*p2.X+(ll)p1.Y*p2.Y;} auto norm(pt p) {return (ll)p.X*p.X+(ll)p.Y*p.Y;} void read(pt& p) { int a,b; cin >> a >> b; p = {a,b}; } struct DSU{ vector<int> sz,parent; int components; DSU(int n) { sz.assign(n,1); components = n; parent.resize(n); for(int i=0;i<n;++i) parent[i]=i; } void link(int a, int b) { components--; if(sz[a]<sz[b]) { swap(a,b); } sz[a] = max(sz[a],sz[b]+1); parent[b] = a; } bool unite(int a, int b) { int pa = find(a),pb = find(b); if(pa!=pb) link(pa,pb); return pa!=pb; } int find(int a) { if(a==parent[a]) return a; return parent[a] = find(parent[a]); } }; ll ft,fc; struct edge{ int a,b,t,c; bool operator<(const edge& o) const { return ft*t+fc*c < ft*o.t+fc*o.c; } }; int n,m; edge edges[mxM]; pt kruskal(bool print=false) { DSU dsu(n); sort(edges,edges+m); pt ans = 0; for(int j=0;j<m;++j) { auto& e = edges[j]; if(dsu.unite(e.a,e.b)) { ans+=pt{e.t,e.c}; if(print) cout << e.a << ' ' << e.b << '\n'; } if(dsu.components==1) break; } return ans; } int bestfc=0, bestft=1; ll best=1e18; complex<int> bestp=0; void solve(pt ul, pt rd) { ft = ul.Y-rd.Y; fc = rd.X-ul.X; auto nw = kruskal(); auto ans = (ll)nw.X*nw.Y; if(ans<best or (ans==best and nw.Y<bestp.Y)) { bestp = nw; best = ans; bestfc = fc; bestft = ft; } if(ccw(ul,nw,rd)==0) return; solve(ul,nw), solve(nw,rd); } int main() { cin >> n>>m; for(int i=0;i<m;++i) { int a,b,t,c; cin >> a >> b >> t >> c; edges[i] = {a,b,t,c}; } ft = 1, fc = 0; auto p1 = kruskal(); ft = 0, fc = 1; auto p2 = kruskal(); solve(p1,p2); cout << bestp.X << ' ' << bestp.Y << '\n'; ft = bestft; fc = bestfc; kruskal(true); }
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