Submission #757819

#TimeUsernameProblemLanguageResultExecution timeMemory
757819taherVinjete (COI22_vinjete)C++17
100 / 100
801 ms20748 KiB
#include <bits/stdc++.h>

using namespace std;

#ifdef LOCAL
#include "C:\GCC\debug.h"
#else
#define debug(...) void(42)
#endif

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, m;
  cin >> n >> m;
  vector<vector<array<int, 3>>> adj(n);
  vector<int> all;
  for (int i = 0; i < n - 1; i++) {
    int u, v;
    cin >> u >> v;
    --u, --v;
    int l, r;
    cin >> l >> r;
    --l, --r;
    all.push_back(l);
    all.push_back(r);
    all.push_back(r + 1);
    adj[u].push_back({v, l, r});
    adj[v].push_back({u, l, r});
  }
  sort(all.begin(), all.end());
  all.erase(unique(all.begin(), all.end()), all.end());
  m = (int) all.size();

  for (int i = 0; i < n; i++) {
    for (int j = 0; j < (int) adj[i].size(); j++) {
      adj[i][j][1] = lower_bound(all.begin(), all.end(), adj[i][j][1]) - all.begin();
      adj[i][j][2] = lower_bound(all.begin(), all.end(), adj[i][j][2]) - all.begin();
    }
  }
  debug(all);
  int B = sqrt(m);
  int number_of_blocks = (m + B - 1) / B;
  vector<int> small(m);
  vector<int> large(number_of_blocks);
  vector<int> couches(number_of_blocks);

  auto Insert = [&](int l, int r) {
    int bL = l / B;
    int bR = r / B;

    if (bL == bR) {
      for (int i = l; i <= r; i++) {
        int add = all[i + 1] - all[i];
        if (small[i] == 0) {
          large[bL] += add;
        }
        ++small[i];
      }
    } else {
      for (int i = l; i < (bL + 1) * B; i++) {
        int add = all[i + 1] - all[i];
        if (small[i] == 0) {
          large[bL] += add;
        }
        ++small[i];
      }

      for (int i = bL + 1; i < bR; i++) {
        ++couches[i];
      }

      for (int i = bR * B; i <= r; i++) {
        int add = all[i + 1] - all[i];
        if (small[i] == 0) {
          large[bR] += add;
        }
        ++small[i];
      }
    }
  };

  auto Delete = [&](int l, int r) {
    int bL = l / B;
    int bR = r / B;

    if (bL == bR) {
      for (int i = l; i <= r; i++) {
        int add = all[i + 1] - all[i];
        if (small[i] == 1) {
          large[bL] -= add;
        }
        --small[i];
      }
    } else {
      for (int i = l; i < (bL + 1) * B; i++) {
        int add = all[i + 1] - all[i];
        if (small[i] == 1) {
          large[bL] -= add;
        }
        --small[i];
      }

      for (int i = bL + 1; i < bR; i++) {
        --couches[i];
      }

      for (int i = bR * B; i <= r; i++) {
        int add = all[i + 1] - all[i];
        if (small[i] == 1) {
          large[bR] -= add;
        }
        --small[i];
      }
    }
  };

  auto Compute = [&]() {
    int ans = 0;
    for (int i = 0; i < number_of_blocks; i++) {
      if (couches[i] > 0) {
        assert(i != number_of_blocks - 1);
        ans += all[(i + 1) * B] - all[i * B];
      } else {
        ans += large[i];
      }
    }
    return ans;
  };

  vector<int> res(n);

  function<void(int, int)> Dfs = [&](int u, int prev) {
    if (u > 0) {
      res[u] = Compute();
    }
    /*
    debug(u);
    debug(couches);
    debug(large);
    debug(small);
    */

    for (auto v : adj[u]) {
      if (v[0] == prev) {
        continue;
      }

      Insert(v[1], v[2]);

      Dfs(v[0], u);

      Delete(v[1], v[2]);
    }
  };
  Dfs(0, -1);

  for (int i = 1; i < n; i++) {
    cout << res[i] << '\n';
  }
  return 0;
}
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