oj.uz

답안 #879708

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
879708 2023-11-27T23:51:40 Z MilosMilutinovic Dragon 2 (JOI17_dragon2) C++14
100 / 100
 1827 ms 77380 KB 
#include <bits/stdc++.h>
 
using namespace std;

#define int long long
 
struct pt {
  int x, y;
  pt(int _x = 0, int _y = 0) : x(_x), y(_y) {}
};
 
bool const operator == (pt a, pt b) {
  return a.x == b.x && a.y == b.y;
}

pt sim(pt a, pt b) {
  return pt(b.x + (b.x - a.x), b.y + (b.y - a.y));
}

int orient(pt a, pt b, pt c) {
  long long val = (b.y - a.y) * 1LL * (c.x - b.x) - (b.x - a.x) * 1LL * (c.y - b.y);
  return (val == 0 ? 0 : (val > 0 ? 1 : -1)); // 1 clock, -1 counterclock
}
 
struct angle {
  pt a, b, c;
};

bool const operator == (angle p, angle q) {
  return p.a == q.a && p.b == q.b && p.c == q.c;
}
 
bool const operator < (angle p, angle q) {
  if (p == q) {
    return false;
  }
  int ps = orient(p.a, p.b, p.c);
  int qs = orient(q.a, q.b, q.c);
  if (orient(p.a, q.a, p.b) == 0) {
    while (true) {

    }
  }
  if (ps == qs) {
    return orient(p.a, q.a, p.b) == ps;
  } else {
    // ...
    while (true) {

    }
    return false;
  }
}
 
signed main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, m;
  cin >> n >> m;
  vector<pt> p(n);
  vector<int> c(n);
  for (int i = 0; i < n; i++) {
    cin >> p[i].x >> p[i].y >> c[i];
    --c[i];
  }
  pt a, b;
  cin >> a.x >> a.y >> b.x >> b.y;
  vector<vector<vector<int>>> ids(m, vector<vector<int>>(2));
  vector<int> cnt(m);
  for (int i = 0; i < n; i++) {
    int o = orient(a, b, p[i]);
    assert(o != 0);
    int sd = (o == 1 ? 0 : 1);
    ids[c[i]][sd].push_back(i);
    cnt[c[i]] += 1;
  }
  for (int i = 0; i < n; i++) {
    for (int j = i + 1; j < n; j++) {
      if (orient(p[i], p[j], a) == 0) {
        assert(false);
      }
    }
  }
  vector<vector<angle>> all_a(2);
  vector<vector<angle>> all_b(2);
  for (int i = 0; i < n; i++) {
    int o = orient(a, b, p[i]);
    int sd = (o == 1 ? 0 : 1);
    pt p_a = sim(p[i], a);
    pt p_b = sim(p[i], b);
    all_a[sd].push_back({p[i], a, b});
    all_b[sd].push_back({p[i], b, a});
    all_a[sd ^ 1].push_back({p_a, a, b});
    all_b[sd ^ 1].push_back({p_b, b, a});
  }
  for (int sd = 0; sd < 2; sd++) {
    sort(all_a[sd].begin(), all_a[sd].end());
    sort(all_b[sd].begin(), all_b[sd].end());
  }
  vector<int> ia(n);
  vector<int> ib(n);
  vector<int> ja(n);
  vector<int> jb(n);
  for (int i = 0; i < n; i++) {
    int o = orient(a, b, p[i]);
    int sd = (o == 1 ? 0 : 1);
    {
      angle A;
      A.a = p[i];
      A.b = a;
      A.c = b;
      int low = 0, high = (int) all_a[sd].size() - 1;
      while (low <= high) {
        int mid = low + high >> 1;
        if (all_a[sd][mid] == A) {
          ia[i] = mid;
          break;
        } else if (all_a[sd][mid] < A) {
          low = mid + 1;
        } else {
          high = mid - 1;
        }
      }
      //ia[i] = (int) (lower_bound(all_a[sd].begin(), all_a[sd].end(), A) - all_a[sd].begin());
      assert(A == all_a[sd][ia[i]]);
    }
    {
      angle A;
      A.a = p[i];
      A.b = b;
      A.c = a;
      int low = 0, high = (int) all_b[sd].size() - 1;
      while (low <= high) {
        int mid = low + high >> 1;
        if (all_b[sd][mid] == A) {
          ib[i] = mid;
          break;
        } else if (all_b[sd][mid] < A) {
          low = mid + 1;
        } else {
          high = mid - 1;
        }
      }
      //ib[i] = (int) (lower_bound(all_b[sd].begin(), all_b[sd].end(), A) - all_b[sd].begin());
      assert(A == all_b[sd][ib[i]]);
    }
    {
      angle A;
      A.a = sim(p[i], a);
      A.b = a;
      A.c = b;
      int low = 0, high = all_a[sd ^ 1].size() - 1;
      while (low <= high) {
        int mid = low + high >> 1;
        if (all_a[sd ^ 1][mid] == A) {
          ja[i] = mid;
          break;
        } else if (all_a[sd ^ 1][mid] < A) {
          low = mid + 1;
        } else {
          high = mid - 1;
        }
      }
      //ja[i] = (int) (lower_bound(all_a[sd ^ 1].begin(), all_a[sd ^ 1].end(), A) - all_a[sd ^ 1].begin());
      assert(A == all_a[sd ^ 1][ja[i]]);
    }
    {
      angle A;
      A.a = sim(p[i], b);
      A.b = b;
      A.c = a;
      int low = 0, high = all_b[sd ^ 1].size() - 1;
      while (low <= high) {
        int mid = low + high >> 1;
        if (all_b[sd ^ 1][mid] == A) {
          jb[i] = mid;
          break;
        } else if (all_b[sd ^ 1][mid] < A) {
          low = mid + 1;
        } else {
          high = mid - 1;
        }
      }
      //jb[i] = (int) (lower_bound(all_b[sd ^ 1].begin(), all_b[sd ^ 1].end(), A) - all_b[sd ^ 1].begin());     
      assert(A == all_b[sd ^ 1][jb[i]]);
    }
  }
  int q;
  cin >> q;
  vector<int> f(q), g(q);
  for (int i = 0; i < q; i++) {
    cin >> f[i] >> g[i];
    --f[i]; --g[i];
  }
  vector<int> qt(q, -1);
  map<pair<int, int>, int> mp;
  for (int i = 0; i < q; i++) {
    if (mp.count({f[i], g[i]})) {
      //qt[i] = mp[{f[i], g[i]}];
    } else {
      //mp[{f[i], g[i]}] = i;
    }
  }
  vector<int> res(q);
  {
    vector<vector<vector<vector<pair<int, int>>>>> qs(m, vector<vector<vector<pair<int, int>>>>(2));
    for (int i = 0; i < m; i++) {
      qs[i][0].resize(cnt[i]);
      qs[i][1].resize(cnt[i]);
    }
    for (int i = 0; i < m; i++) {
      for (int j = 0; j < 2; j++) {
        sort(ids[i][j].begin(), ids[i][j].end(), [&](int i, int j) {
          return ia[i] < ia[j];
        });
      }
    }
    for (int qq = 0; qq < q; qq++) {
      if (qt[qq] != -1) {
        continue;
      }
      if (min(cnt[f[qq]], cnt[g[qq]]) == 0) {
        continue;
      }
      if (cnt[f[qq]] <= cnt[g[qq]]) {
        for (int sd = 0; sd < 2; sd++) {
          for (int i : ids[f[qq]][sd]) {
            {
              int low = 0, high = (int) ids[g[qq]][sd].size() - 1, pos = -1;
              while (low <= high) {
                int mid = low + high >> 1;
                if (ia[i] >= ia[ids[g[qq]][sd][mid]]) {
                  pos = mid;
                  low = mid + 1;
                } else {
                  high = mid - 1;
                }
              }
              if (pos != -1) {
                qs[g[qq]][sd][pos].emplace_back(qq, ib[i]);
              }
            }
            {
              int low = 0, high = (int) ids[g[qq]][sd ^ 1].size() - 1, pos = -1;
              while (low <= high) {
                int mid = low + high >> 1;
                if (ja[i] >= ia[ids[g[qq]][sd ^ 1][mid]]) {
                  pos = mid;
                  low = mid + 1;
                } else {
                  high = mid - 1;
                }
              }
              if (pos != -1) {
                qs[g[qq]][sd ^ 1][pos].emplace_back(qq, jb[i]);
              }
            }
          }
        }
      }
    }
    vector<int> fenw(n);
    auto Modify = [&](int x, int v) {
      while (x < n) {
        fenw[x] += v;
        x |= (x + 1);
      }
    };
    auto Query = [&](int x) {
      int v = 0;
      while (x >= 0) {
        v += fenw[x];
        x = (x & (x + 1)) - 1;
      }
      return v;
    };
    for (int i = 0; i < m; i++) {
      for (int j = 0; j < 2; j++) {
        int sz = (int) ids[i][j].size();
        for (int k = 0; k < sz; k++) {
          Modify(ib[ids[i][j][k]], +1);
          for (auto& p : qs[i][j][k]) {
            res[p.first] += Query(p.second);
          }
        }
        for (int k = 0; k < sz; k++) {
          Modify(ib[ids[i][j][k]], -1);
        }
      }
    }
  }
  {
    /* vector<vector<vector<vector<pair<int, int>>>>> qs(m, vector<vector<vector<pair<int, int>>>>(2));
    for (int i = 0; i < m; i++) {
      qs[i][0].resize(cnt[i]);
      qs[i][1].resize(cnt[i]);
    }
    for (int i = 0; i < m; i++) {
      for (int j = 0; j < 2; j++) {
        sort(ids[i][j].begin(), ids[i][j].end(), [&](int i, int j) {
          return ia[i] > ia[j];
        });
      }
    }
    for (int qq = 0; qq < q; qq++) {
      if (qt[qq] != -1) {
        continue;
      }
      if (min(cnt[f[qq]], cnt[g[qq]]) == 0) {
        continue;
      }
      if (cnt[f[qq]] > cnt[g[qq]]) {
        for (int sd = 0; sd < 2; sd++) {
          for (int i : ids[g[qq]][sd]) {
            {
              int low = 0, high = (int) ids[f[qq]][sd].size() - 1, pos = -1;
              while (low <= high) {
                int mid = low + high >> 1;
                if (ia[ids[f[qq]][sd][mid]] >= ia[i]) {
                  pos = mid;
                  low = mid + 1;
                } else {
                  high = mid - 1;
                }
              }
              if (pos != -1) {
                qs[f[qq]][sd][pos].emplace_back(qq, ib[i]);
              }
            }
          }
        }
      }
      vector<int> fenw(n);
      auto Modify = [&](int x, int v) {
        assert(0 <= x);
        while (x < n) {
          fenw[x] += v;
          x |= (x + 1);
        }
      };
      auto Query = [&](int x) {
        assert(x < n);
        int v = 0;
        while (x >= 0) {
          v += fenw[x];
          x = (x & (x + 1)) - 1;
        }
        return v;
      };
      for (int i = 0; i < m; i++) {
        for (int j = 0; j < 2; j++) {
          int sz = (int) ids[i][j].size();
          for (int k = 0; k < sz; k++) {
            Modify(ib[ids[i][j][k]], +1);
            for (auto& p : qs[i][j][k]) {
              res[p.first] += Query(n - 1) - Query(p.second - 1);
            }
          }
          for (int k = 0; k < sz; k++) {
            Modify(ib[ids[i][j][k]], -1);
          }
        }
      }
    } */
    for (int qq = 0; qq < q; qq++) {
      if (cnt[f[qq]] > cnt[g[qq]]) {
        for (int sd = 0; sd < 2; sd++) {
          for (int i : ids[f[qq]][sd]) {
            for (int j : ids[g[qq]][sd]) {
              if (ia[i] >= ia[j] && ib[i] >= ib[j]) {
                res[qq] += 1;
              }
            }
          }
        }
      }
    }
  }
  {
    /* vector<vector<vector<vector<pair<int, int>>>>> qs(m, vector<vector<vector<pair<int, int>>>>(2));
    for (int i = 0; i < m; i++) {
      qs[i][0].resize(cnt[i]);
      qs[i][1].resize(cnt[i]);
    }
    for (int i = 0; i < m; i++) {
      for (int j = 0; j < 2; j++) {
        sort(ids[i][j].begin(), ids[i][j].end(), [&](int x, int y) {
          return ja[x] > ja[y];
        });
      }
    }
    for (int qq = 0; qq < q; qq++) {
      if (qt[qq] != -1) {
        continue;
      }
      if (min(cnt[f[qq]], cnt[g[qq]]) == 0) {
        continue;
      }
      if (cnt[f[qq]] > cnt[g[qq]]) {
        for (int sd = 0; sd < 2; sd++) {
          for (int i : ids[g[qq]][sd]) {
            int pos = -1;
            while (pos + 1 < (int) ids[f[qq]][sd ^ 1].size() && ja[ids[f[qq]][sd ^ 1][pos + 1]] >= ia[i]) {
              pos += 1;
            }
            if (pos != -1) {
              qs[f[qq]][sd ^ 1][pos].emplace_back(qq, ib[i]);
            }
            {
              int low = 0, high = (int) ids[f[qq]][sd ^ 1].size() - 1, pos = -1;
              while (low <= high) {
                int mid = low + high >> 1;
                if (ja[ids[f[qq]][sd ^ 1][mid]] >= ia[i]) {
                  pos = mid;
                  low = mid + 1;
                } else {
                  high = mid - 1;
                }
              }
              if (pos != -1) {
                qs[f[qq]][sd ^ 1][pos].emplace_back(qq, ib[i]);
              }
            } 
          }
        }
      }
      vector<int> fenw(n);
      auto Modify = [&](int x, int v) {
        assert(0 <= x);
        while (x < n) {
          fenw[x] += v;
          x |= (x + 1);
        }
      };
      auto Query = [&](int x) {
        assert(x < n);
        int v = 0;
        while (x >= 0) {
          v += fenw[x];
          x = (x & (x + 1)) - 1;
        }
        return v;
      };
      for (int i = 0; i < m; i++) {
        for (int j = 0; j < 2; j++) {
          int sz = (int) ids[i][j].size();
          for (int k = 0; k < sz; k++) {
  //          Modify(jb[ids[i][j][k]], +1);
            for (auto& p : qs[i][j][k]) {
              for (int w = 0; w <= k; w++) {
                if (jb[ids[i][j][w]] >= p.second) {
                  res[p.first] += 1;
                }
              }
//              res[p.first] += Query(n - 1) - Query(p.second - 1);
            }
          }
          for (int k = 0; k < sz; k++) {
    //        Modify(jb[ids[i][j][k]], -1);
          }
        }
      }
    } */
    for (int qq = 0; qq < q; qq++) {
      if (cnt[f[qq]] > cnt[g[qq]]) {
        for (int sd = 0; sd < 2; sd++) {
          for (int i : ids[g[qq]][sd]) {
            for (int j : ids[f[qq]][sd ^ 1]) {
              if (ja[j] < ia[i]) {
                break;
              }
              if (jb[j] >= ib[i]) {
                res[qq] += 1;
              }
            }
          }
        }
      }
    }
  }
  
  for (int i = 0; i < q; i++) {
    if (qt[i] != -1) {
      res[i] = res[qt[i]];
    }
  }
  for (int i = 0; i < q; i++) {
    cout << res[i] << '\n';
  }
  return 0;
}

Compilation message

dragon2.cpp: In function 'int main()':
dragon2.cpp:114:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  114 |         int mid = low + high >> 1;
      |                   ~~~~^~~~~~
dragon2.cpp:134:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  134 |         int mid = low + high >> 1;
      |                   ~~~~^~~~~~
dragon2.cpp:154:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  154 |         int mid = low + high >> 1;
      |                   ~~~~^~~~~~
dragon2.cpp:174:23: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  174 |         int mid = low + high >> 1;
      |                   ~~~~^~~~~~
dragon2.cpp:231:31: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  231 |                 int mid = low + high >> 1;
      |                           ~~~~^~~~~~
dragon2.cpp:246:31: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  246 |                 int mid = low + high >> 1;
      |                           ~~~~^~~~~~

Subtask #1
15.0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 1220 KB Output is correct
2 Correct 20 ms 1564 KB Output is correct
3 Correct 29 ms 4664 KB Output is correct
4 Correct 47 ms 7704 KB Output is correct
5 Correct 59 ms 5984 KB Output is correct
6 Correct 15 ms 2072 KB Output is correct
7 Correct 15 ms 2072 KB Output is correct
8 Correct 22 ms 1372 KB Output is correct
9 Correct 24 ms 1460 KB Output is correct
10 Correct 24 ms 1500 KB Output is correct

Subtask #2
45.0 / 45.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1189 ms 9508 KB Output is correct
2 Correct 1168 ms 12920 KB Output is correct
3 Correct 669 ms 10224 KB Output is correct
4 Correct 658 ms 9808 KB Output is correct
5 Correct 675 ms 15748 KB Output is correct
6 Correct 665 ms 9972 KB Output is correct
7 Correct 657 ms 9972 KB Output is correct
8 Correct 669 ms 9944 KB Output is correct
9 Correct 662 ms 10312 KB Output is correct
10 Correct 658 ms 9952 KB Output is correct

Subtask #3
40.0 / 40.0

# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 1220 KB Output is correct
2 Correct 20 ms 1564 KB Output is correct
3 Correct 29 ms 4664 KB Output is correct
4 Correct 47 ms 7704 KB Output is correct
5 Correct 59 ms 5984 KB Output is correct
6 Correct 15 ms 2072 KB Output is correct
7 Correct 15 ms 2072 KB Output is correct
8 Correct 22 ms 1372 KB Output is correct
9 Correct 24 ms 1460 KB Output is correct
10 Correct 24 ms 1500 KB Output is correct
11 Correct 1189 ms 9508 KB Output is correct
12 Correct 1168 ms 12920 KB Output is correct
13 Correct 669 ms 10224 KB Output is correct
14 Correct 658 ms 9808 KB Output is correct
15 Correct 675 ms 15748 KB Output is correct
16 Correct 665 ms 9972 KB Output is correct
17 Correct 657 ms 9972 KB Output is correct
18 Correct 669 ms 9944 KB Output is correct
19 Correct 662 ms 10312 KB Output is correct
20 Correct 658 ms 9952 KB Output is correct
21 Correct 1226 ms 9640 KB Output is correct
22 Correct 1069 ms 13088 KB Output is correct
23 Correct 1142 ms 44732 KB Output is correct
24 Correct 1020 ms 77380 KB Output is correct
25 Correct 704 ms 19808 KB Output is correct
26 Correct 697 ms 20388 KB Output is correct
27 Correct 665 ms 16912 KB Output is correct
28 Correct 678 ms 16912 KB Output is correct
29 Correct 1827 ms 19668 KB Output is correct
30 Correct 695 ms 19044 KB Output is correct
31 Correct 686 ms 19128 KB Output is correct
32 Correct 702 ms 20020 KB Output is correct
33 Correct 926 ms 49320 KB Output is correct
34 Correct 691 ms 19148 KB Output is correct
35 Correct 690 ms 19504 KB Output is correct
36 Correct 695 ms 20272 KB Output is correct
37 Correct 707 ms 20264 KB Output is correct
38 Correct 993 ms 48592 KB Output is correct
39 Correct 998 ms 52368 KB Output is correct
40 Correct 947 ms 51544 KB Output is correct
41 Correct 1400 ms 20084 KB Output is correct
42 Correct 1070 ms 21168 KB Output is correct
43 Correct 1040 ms 22568 KB Output is correct
44 Correct 1519 ms 13248 KB Output is correct
45 Correct 1101 ms 13244 KB Output is correct
46 Correct 942 ms 13092 KB Output is correct
47 Correct 673 ms 13932 KB Output is correct
48 Correct 677 ms 14232 KB Output is correct
49 Correct 664 ms 13804 KB Output is correct