Submission #501248

#TimeUsernameProblemLanguageResultExecution timeMemory
501248600MihneaFish (IOI08_fish)C++17
12 / 100
3093 ms65540 KiB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

signed main() {
  ios::sync_with_stdio(0); cin.tie(0);
 // freopen ("input", "r", stdin);
  int n, k, mod;
  cin >> n >> k >> mod;
  vector<pair<int, int>> a(n);
  vector<bool> deja(k, 0), skip(n, 0);
  for (auto &it : a) {
    cin >> it.first >> it.second;
    it.second--;
  }
  sort(a.begin(), a.end());
  for (int i = n - 1; i >= 0; i--) {
    if (!deja[a[i].second]) {
      deja[a[i].second] = 1;
    } else {
      skip[i] = 1;
    }
  }
  vector<vector<int>> frqs;
  int limit = 0;
  for (int i = 0; i < n; i++) {
    if (skip[i]) {
      continue;
    }
    while (limit < n && 2 * a[limit].first <= a[i].first) {
      limit++;
    }
    vector<int> frq(k, 0);
    for (int j = 0; j < limit; j++) {
      frq[a[j].second]++;
    }
    frq[a[i].second]++;
    frqs.push_back(frq);
  }
  n = (int) frqs.size();
  int print = 0;
  for (int mask = 1; mask < (1 << n); mask++) {
    vector<int> guys;
    for (int i = 0; i < n; i++) {
      if (mask & (1 << i)) {
        guys.push_back(i);
      }
    }
    vector<int> base = frqs[guys[0]];
    for (int j = 1; j < (int) guys.size(); j++) {
      for (int i = 0; i < k; i++) {
        base[i] = min(base[i], frqs[guys[j]][i]);
      }
    }
    int prod = 1;
    for (int i = 0; i < k; i++) {
      prod = (ll) prod * (base[i] + 1) % mod;
    }
    if ((int) guys.size() % 2 == 1) {
      print = (print + prod) % mod;
    } else {
      print = (print - prod + mod) % mod;
    }
  }
  print = (print + mod - 1) % mod;
  cout << print << "\n";
  return 0;
}
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