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Submission #257016

# Submission time Handle Problem Language Result Execution time Memory
257016 2020-08-03T14:01:44 Z rama_pang Park (BOI16_park) C++14
100 / 100
 1014 ms 33724 KB 
#include <bits/stdc++.h>
using namespace std;

class DisjointSet {
 public:
  vector<int> p;
  DisjointSet() {}
  DisjointSet(int sz) : p(sz) {
    iota(begin(p), end(p), 0);
  }
  void Clear() {
    iota(begin(p), end(p), 0);
  }
  int Find(int x) {
    return p[x] == x ? x : p[x] = Find(p[x]);
  }
  int Unite(int x, int y) {
    x = Find(x), y = Find(y);
    if (x != y) {
      p[x] = y;
      return 1;
    }
    return 0;
  }
  bool SameSet(int x, int y) {
    return Find(x) == Find(y);
  }
};

int main() {
  ios::sync_with_stdio(0);
  cin.tie(0), cout.tie(0);

  int N, Q, H, W;
  cin >> N >> Q >> W >> H;
  vector<long long> X(N), Y(N), R(N);
  for (int i = 0; i < N; i++) {
    cin >> X[i] >> Y[i] >> R[i];
  }

  vector<long long> blocks(6, 1e18);
  // blocks[0] = cover left to down
  // blocks[1] = cover down to right
  // blocks[2] = cover right to up
  // blocks[3] = cover up to left
  // blocks[4] = cover left to right
  // blocks[5] = cover up to down

  auto GetSide = [&](long long x, long long y) {
    if (x < 0) return N + 0;
    if (y < 0) return N + 1;
    if (x > W) return N + 2;
    if (y > H) return N + 3;
    return -1;
  };

  vector<pair<long long, pair<int, int>>> edges;
  for (int i = 0; i < N; i++) {
    for (int j = i + 1; j < N; j++) {
      long long lo = 0, hi = 1e9;
      while (lo < hi) {
        long long md = (lo + hi) / 2;
        if ((X[i] - X[j]) * (X[i] - X[j]) + 
            (Y[i] - Y[j]) * (Y[i] - Y[j]) < 
            (R[i] + R[j] + 2ll * md) * (R[i] + R[j] + 2ll * md)) {
          hi = md;
        } else {
          lo = md + 1;
        }
      }
      edges.push_back({lo, {i, j}});
    }
  }
  for (int i = 0; i < N; i++) {
    {
      long long lo = 0, hi = 1e9;
      while (lo < hi) {
        long long md = (lo + hi) / 2;
        if (GetSide(X[i] - 2ll * md - R[i], Y[i]) != -1) {
          hi = md;
        } else {
          lo = md + 1;
        }
      }
      edges.push_back({lo, {i, GetSide(X[i] - 2ll * lo - R[i], Y[i])}});
    }
    {
      long long lo = 0, hi = 1e9;
      while (lo < hi) {
        long long md = (lo + hi) / 2;
        if (GetSide(X[i] + 2ll * md + R[i], Y[i]) != -1) {
          hi = md;
        } else {
          lo = md + 1;
        }
      }
      edges.push_back({lo, {i, GetSide(X[i] + 2ll * lo + R[i], Y[i])}});
    }
    {
      long long lo = 0, hi = 1e9;
      while (lo < hi) {
        long long md = (lo + hi) / 2;
        if (GetSide(X[i], Y[i] - 2ll * md - R[i]) != -1) {
          hi = md;
        } else {
          lo = md + 1;
        }
      }
      edges.push_back({lo, {i, GetSide(X[i], Y[i] - 2ll * lo - R[i])}});
    }
    {
      long long lo = 0, hi = 1e9;
      while (lo < hi) {
        long long md = (lo + hi) / 2;
        if (GetSide(X[i], Y[i] + 2ll * md + R[i]) != -1) {
          hi = md;
        } else {
          lo = md + 1;
        }
      }
      edges.push_back({lo, {i, GetSide(X[i], Y[i] + 2ll * lo + R[i])}});
    }
  }

  DisjointSet D(N + 4);
  sort(begin(edges), end(edges));
  for (auto e : edges) {
    D.Unite(e.second.first, e.second.second);
    if (D.SameSet(N + 0, N + 1)) blocks[0] = min(blocks[0], e.first);
    if (D.SameSet(N + 1, N + 2)) blocks[1] = min(blocks[1], e.first);
    if (D.SameSet(N + 2, N + 3)) blocks[2] = min(blocks[2], e.first);
    if (D.SameSet(N + 3, N + 0)) blocks[3] = min(blocks[3], e.first);
    if (D.SameSet(N + 0, N + 2)) blocks[4] = min(blocks[4], e.first);
    if (D.SameSet(N + 1, N + 3)) blocks[5] = min(blocks[5], e.first);    
  }

  while (Q--) {
    int r, e;
    cin >> r >> e;
    e--;
    string ans;
    for (int i = 0; i < 4; i++) {
      long long b = min(blocks[e], blocks[i]);
      if (((e == 0 || e == 1) && (i == 2 || i == 3)) || ((i == 0 || i == 1) && (e == 2 || e == 3))) {
        b = min(b, blocks[4]);
      }
      if (((e == 0 || e == 3) && (i == 1 || i == 2)) || ((i == 0 || i == 3) && (e == 1 || e == 2))) {
        b = min(b, blocks[5]);
      }
      if (e == i || r < b) {
        ans.push_back('1' + i);
      }
    }
    cout << ans << "\n";
  }
  return 0;
}

Subtask #1
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 724 ms 33468 KB Output is correct
2 Correct 731 ms 33452 KB Output is correct
3 Correct 765 ms 33468 KB Output is correct
4 Correct 803 ms 33468 KB Output is correct
5 Correct 863 ms 33468 KB Output is correct
6 Correct 733 ms 33468 KB Output is correct
7 Correct 654 ms 33580 KB Output is correct
8 Correct 1014 ms 33340 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct

Subtask #2
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 42 ms 1284 KB Output is correct
2 Correct 39 ms 1268 KB Output is correct
3 Correct 40 ms 1268 KB Output is correct
4 Correct 106 ms 1268 KB Output is correct
5 Correct 38 ms 1276 KB Output is correct
6 Correct 38 ms 1356 KB Output is correct
7 Correct 33 ms 752 KB Output is correct
8 Correct 34 ms 744 KB Output is correct

Subtask #3
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 724 ms 33468 KB Output is correct
2 Correct 731 ms 33452 KB Output is correct
3 Correct 765 ms 33468 KB Output is correct
4 Correct 803 ms 33468 KB Output is correct
5 Correct 863 ms 33468 KB Output is correct
6 Correct 733 ms 33468 KB Output is correct
7 Correct 654 ms 33580 KB Output is correct
8 Correct 1014 ms 33340 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 42 ms 1284 KB Output is correct
12 Correct 39 ms 1268 KB Output is correct
13 Correct 40 ms 1268 KB Output is correct
14 Correct 106 ms 1268 KB Output is correct
15 Correct 38 ms 1276 KB Output is correct
16 Correct 38 ms 1356 KB Output is correct
17 Correct 33 ms 752 KB Output is correct
18 Correct 34 ms 744 KB Output is correct
19 Correct 767 ms 33616 KB Output is correct
20 Correct 754 ms 33724 KB Output is correct
21 Correct 894 ms 33616 KB Output is correct
22 Correct 771 ms 33596 KB Output is correct
23 Correct 797 ms 33596 KB Output is correct
24 Correct 681 ms 33572 KB Output is correct