Submission #726892

#TimeUsernameProblemLanguageResultExecution timeMemory
726892josanneo22timeismoney (balkan11_timeismoney)C++17
100 / 100
41 ms984 KiB
#include <bits/stdc++.h> #define sz(x) ((int)x.size()) #define fi first #define se second #define pb push_back using namespace std; typedef long long ll; typedef long double ld; struct edge { int u, v; int v1, v2; ld val; bool operator<(const edge& b)const { return val < b.val; } }; vector<int> par,sz; int total_groups; void init(int n){ par.resize(n); sz.resize(n); for(int i=0;i<n;i++){ par[i]=i; sz[i]=1; } } int find(int x){ if(par[x]==x) return x; else return par[x]=find(par[x]); } void unite(int x, int y) { x = find(x); y = find(y); if (x == y) return; if (sz[x] < sz[y]) swap(x, y); par[y] = x; sz[x] += sz[y]; total_groups--; } bool same(int x,int y){ x = find(x); y = find(y); if(x==y) return true; else return false; } //remember to init(n+5) and total_groups=n const ld R = 1e5; int n, m; vector<edge> e; int pn(int u) { return u == par[u] ? u : (par[u] = pn(par[u])); } void us(int a, int b) { a = pn(a), b = pn(b); par[b] = a; } pair<ll, vector<edge>> f(ld x) { init(n+5); for (auto& it : e)it.val = it.v1 * x + it.v2 * (R - x); sort(e.begin(), e.end()); ll s1 = 0, s2 = 0; vector<edge> r; for (auto& it : e) { if (!same(it.u,it.v)) { unite(it.u, it.v); s1 += it.v1; s2 += it.v2; r.pb(it); } } return { s1 * s2,r }; } int main() { ios::sync_with_stdio(0); cin.tie(0); cin >> n >> m; for (int i = 0; i < m; i++) { int x, y, v1, v2; cin >> x >> y >> v1 >> v2; e.pb({ x,y,v1,v2 }); } ld lo = 0, hi = R; while (abs(lo - hi) > 2) { ld m1 = (lo * 2 + hi) / 3; ld m2 = (lo + hi * 2) / 3; if (f(m1).fi < f(m2).fi) hi = m2; else lo = m1; } vector<edge> r = f(lo).se; ll s1 = 0, s2 = 0; for (auto& it : r) { s1 += it.v1; s2 += it.v2; } cout << s1 << ' ' << s2 << '\n'; for (auto& it : r)cout << it.u << ' ' << it.v << '\n'; return 0; }
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