Submission #1308297

#	Time	Username	Problem	Language	Result	Execution time	Memory
1308297		tolga	Knapsack (NOI18_knapsack)	C++20	17 / 100	2 ms	584 KiB

knapsack

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define endl '\n'

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr), cout.tie(nullptr);

  int s, n;
  cin >> s >> n;

  vector<vector<pair<int, int>>> arr(s + 1);
  for (int i = 0; i < n; i++) {
    int v, w, k;
    cin >> v >> w >> k;
    if (w > s)
      continue;
    arr[w].push_back({v, k});
  }

  vector<ll> dp(s + 1);
  auto calc_dp = [&](int val, int W, int pow) {
    ll price = 1LL * val * pow, weight = 1LL * W * pow;
    for (int w = s; w >= weight; w--)
      dp[w] = max(dp[w], dp[w - weight] + price);
  };

  for (int W = 1; W <= s; W++) {
    auto &vec = arr[W];
    sort(vec.rbegin(), vec.rend());

    int br = 0;
    for (auto &[val, cnt] : vec) {
      int k = min(cnt, s / W);
      br += k;
      if (br * W > s)
        k -= br * W - s;

      ll pow = 1;
      while (k - pow > 0) {
        k -= pow;
        calc_dp(val, W, pow);
        pow <<= 1;
      }
      if (k > 0)
        calc_dp(val, W, pow);
    }
  }
  cout << *max_element(dp.begin(), dp.end()) << endl;
}

• Subtask 1: 0 / 12
• Subtask 2: 17 / 17
• Subtask 3: 0 / 20
• Subtask 4: 0 / 24
• Subtask 5: 0 / 27