Submission #417356

#TimeUsernameProblemLanguageResultExecution timeMemory
417356rama_pangJob Scheduling (IOI19_job)C++17
19 / 100
91 ms8112 KiB
#include "job.h"

#include <bits/stdc++.h>
using namespace std;

using lint = long long;

lint scheduling_cost(vector<int> p, vector<int> u, vector<int> d) {
  // Solution:
  // Assume there is no p[]. Let's ignore u[i] * d[i].
  //
  // Let's observe i and j. If i < j is optimal:
  // u[j] * d[i] < u[i] * d[j]
  // u[j] / d[j] < u[i] / d[i]
  // So, we sort by u[x] / d[x]

  int n = p.size();
  lint ans = 0;
  vector<int> ord(n);
  iota(begin(ord), end(ord), 0);
  sort(begin(ord) + 1, end(ord), [&](int i, int j) {
    return u[i] * d[j] > u[j] * d[i];
  });

  int t = 0;
  for (auto i : ord) {
    t += d[i];
    ans += 1ll * t * u[i];
  }

	return ans;
}
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