제출 #1346887

#제출 시각아이디문제언어결과실행 시간메모리
1346887kaze666Fish (IOI08_fish)C++20
95 / 100
394 ms78724 KiB
#include <bits/stdc++.h>
using namespace std;

#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define int int64_t

int n, k, m, N;
vector<int> t, cnt, longest, v[500005];

void build() {
  for (int i = 0; i < N; i++) t[i + N] = cnt[i] + 1;
  for (int i = N - 1; i > 0; i--) t[i] = t[i << 1] * t[i << 1 | 1] % m;
}
void update(int p, int val) {
  p += N;
  t[p] = t[p] + val;
  if (t[p] < 0) t[p] += m;
  for (p >>= 1; p > 0; p >>= 1) t[p] = t[p << 1] * t[p << 1 | 1] % m;
}
int query(int l, int r) {
  int res = 1;
  for (l += N, r += N; l < r; l >>= 1, r >>= 1) {
    if (l & 1) res = res * t[l++] % m;
    if (r & 1) res = res * t[--r] % m;
  }
  return res;
}
int32_t main() {
  ios::sync_with_stdio(false); cin.tie(nullptr);
  cin >> n >> k >> m;
  for (int i = 0; i < n; i++) {
    int x, y; cin >> x >> y;
    v[--y].push_back(x);
  }
  for (int i = 0; i < k; i++) sort(all(v[i]));
  sort(v, v + k, [](vector<int>& a, vector<int>& b) {
    return a.back() > b.back();
  });
  for (int i = k - 1; i >= 0; i--) longest.push_back(v[i].back());
  cnt.assign(k, 0);
  for (int i = 0; i < k; i++) cnt[i] = sz(v[i]);
  N = k;
  t.assign(2 * N, 1);
  build();
  priority_queue<pair<int,int>> pq;
  for (int i = 0; i < k; i++) {
    for (int x : v[i]) {
      pq.emplace(x, i);
    }
  }
  vector<vector<int>> dp(k, vector<int>(2, 0));
  for (int i = 0; i < k; i++) {
    int mx = v[i].back();
    while (!pq.empty() && pq.top().first > mx / 2) {
      auto top = pq.top(); pq.pop();
      int ttype = top.second;
      cnt[ttype]--;
      update(ttype, -1);
    }
    int c = upper_bound(all(v[i]), mx / 2) - v[i].begin();
    dp[i][0] = 1;
    dp[i][1] = c;
    dp[i][0] = dp[i][0] * query(i + 1, k) % m;
    dp[i][1] = dp[i][1] * query(i + 1, k) % m;
    if (c < sz(v[i])) {
      int idx = lower_bound(all(longest), 2 * v[i][c]) - longest.begin();
      int L = k - idx, R = i - 1;
      if (L <= R) {
        dp[i][0] = dp[i][0] * query(L, R + 1) % m;
      }
    }
  }
  int ans = 0;
  for (int i = 0; i < k; i++) ans = (ans + dp[i][0] + dp[i][1]) % m;
  cout << ans << '\n';
  return 0;
}
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