Submission #245799

#TimeUsernameProblemLanguageResultExecution timeMemory
245799quocnguyen1012Job Scheduling (IOI19_job)C++14
100 / 100
827 ms20856 KiB
#ifndef LOCAL
#include "job.h"
#endif // LOCAL
#include <bits/stdc++.h>

#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define ar array

using namespace std;
typedef long long ll;
typedef pair<int, int> ii;

const int maxn = 2e5 + 5;

int cost[maxn], tim[maxn];
int N;
int lab[maxn], mark[maxn];
ll t = 0, res;

int finds(int u)
{
  if(lab[u] == u) return u;
  return lab[u] = finds(lab[u]);
}

struct cmp
{
  bool operator ()(int a, int b) const
  {
    if(1ll * cost[a] * tim[b] != 1ll * cost[b] * tim[a]) return 1ll * cost[a] * tim[b] > 1ll * cost[b] * tim[a];
    return a < b;
  }
};
set<int, cmp> se;

ll scheduling_cost(std::vector<int> p, std::vector<int> u, std::vector<int> d)
{
  N = p.size();
  for(int i = 0; i < N; ++i){
    tim[i] = d[i];
    cost[i] = u[i];
    lab[i] = i;
  }
  for(int i = 0; i < N; ++i)
    se.insert(i);
  for(int i = 0; i < N; ++i){
    int now = *se.begin();
    se.erase(now);
    //cerr << now << '\n';
    if(p[now] == -1 || mark[finds(p[now])]){
      t += tim[now];
      res += 1ll * cost[now] * t;
      mark[now] = 1;
      continue;
    }
    int top = finds(p[now]);
    se.erase(top);
    res -= 1ll * cost[top] * tim[now];
    cost[top] += cost[now];
    tim[top] += tim[now];
    se.insert(top);
    lab[now] = top;
  }
  return res;
}

#ifdef LOCAL
signed main(void)
{
  ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  #ifdef LOCAL
    freopen("A.INP", "r", stdin);
    freopen("A.OUT", "w", stdout);
  #endif // LOCAL
  int n; cin >> n;
  vector<int> p(n), u(n), d(n);
  for(auto & it : p) cin >> it;
  for(auto & it : u) cin >> it;
  for(auto & it : d) cin >> it;
  cout << scheduling_cost(p, u, d);
}
#endif // LOCAL
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