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Submission #467999

# Submission time Handle Problem Language Result Execution time Memory
467999 2021-08-25T20:29:48 Z czhang2718 timeismoney (balkan11_timeismoney) C++17
90 / 100
 829 ms 744 KB 
#include "bits/stdc++.h"
using namespace std;

#define nl '\n'
#define f first
#define s second
#define pb push_back
#define mp make_pair
typedef pair<int, int> pii;
typedef vector<int> vi;
#define int long long

int n, m;
pair<int, pii> ans;
vi edges;
const int N=200;
const int M=10000;
int u[M], v[M], t[M], c[M];
int par[N];
pii b;

int find(int x){
  if(par[x]==x) return x;
  return par[x]=find(par[x]);
}

bool join(int x, int y){
  int a=find(x);
  int b=find(y);
  if(a==b) return 0;
  par[a]=b;
  return 1; 
}

bool comp(int i, int j){
  return b.f*t[i]+b.s*c[i]<b.f*t[j]+b.s*c[j];
}

pii get_min(pii bb){
  b=bb;
  sort(edges.begin(), edges.end(), comp);
  for(int i=0; i<n; i++) par[i]=i;
  pii ret={0, 0};
  for(int e:edges){
    if(join(u[e], v[e])){
      ret.f+=t[e];
      ret.s+=c[e];
    }
  }
  return ret;
}

void search(pii l, pii r){
  pii bb={-(r.s-l.s), r.f-l.f};
  pii m=get_min(bb);
  ans=min(ans, {m.f*m.s, bb});
  if(b.f*m.f+b.s*m.s==b.f*l.f+b.s*l.s) return;
  search(l, m);
  search(m, r);
}

void answer(pii bb){
  b=bb;
  sort(edges.begin(), edges.end(), comp);
  for(int i=0; i<n; i++) par[i]=i;
  pii ret={0, 0};
  vi use;
  for(int e:edges){
    if(join(u[e], v[e])){
      ret.f+=t[e];
      ret.s+=c[e];
      use.pb(e);
    }
  }
  cout << ret.f << " " << ret.s << nl;
  for(int i:use) cout << u[i] << " " << v[i] << nl; 
}

signed main(){
  cin.tie(0)->sync_with_stdio(0);
  // freopen("input.txt", "r", stdin);
  // freopen("output.txt", "w", stdout);

  cin >> n >> m;
  for(int i=0; i<m; i++){
    cin >> u[i] >> v[i] >> t[i] >> c[i];
    edges.pb(i);
  }

  pii l=get_min({1, 0});
  pii r=get_min({0, 1});
  ans=min(mp(l.f*l.s, mp(1, 0)), mp(r.f*r.s, mp(0, 1)));

  search(l, r);
  // cout << "best slope " << ans.s.f << " " << ans.s.s << nl;
  answer(ans.s);
}
// n=200*256
// # CH vertices <= n^(3/4)
// ~ 4e7

Subtask #1
90.0 / 100.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 2 ms 332 KB Output is correct
8 Correct 7 ms 744 KB Output is correct
9 Correct 0 ms 332 KB Output is correct
10 Correct 0 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 6 ms 332 KB Output is correct
15 Incorrect 4 ms 332 KB Output isn't correct
16 Correct 91 ms 392 KB Output is correct
17 Correct 94 ms 396 KB Output is correct
18 Correct 88 ms 332 KB Output is correct
19 Correct 809 ms 736 KB Output is correct
20 Incorrect 829 ms 716 KB Output isn't correct