Submission #894778

# Submission time Handle Problem Language Result Execution time Memory
894778 2023-12-29T01:17:09 Z MilosMilutinovic Golf (JOI17_golf) C++14
30 / 100
10000 ms 29044 KB
#include <bits/stdc++.h>

using namespace std;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int s, t, u, v;
  cin >> s >> t >> u >> v;
  int n;
  cin >> n;
  vector<int> a(n), b(n), c(n), d(n);
  for (int i = 0; i < n; i++) {
    cin >> a[i] >> c[i] >> b[i] >> d[i];
  }
  vector<int> xs;
  xs.push_back(s);
  xs.push_back(t);
  xs.push_back(u);
  xs.push_back(v);
  for (int i = 0; i < n; i++) {
    xs.push_back(a[i]);
    xs.push_back(b[i]);
    xs.push_back(c[i]);
    xs.push_back(d[i]);
  }
  sort(xs.begin(), xs.end());
  xs.erase(unique(xs.begin(), xs.end()), xs.end());
  sort(xs.begin(), xs.end());
  xs.erase(unique(xs.begin(), xs.end()), xs.end());
  s = (int) (lower_bound(xs.begin(), xs.end(), s) - xs.begin());
  t = (int) (lower_bound(xs.begin(), xs.end(), t) - xs.begin());
  u = (int) (lower_bound(xs.begin(), xs.end(), u) - xs.begin());
  v = (int) (lower_bound(xs.begin(), xs.end(), v) - xs.begin());
  for (int i = 0; i < n; i++) {
    a[i] = (int) (lower_bound(xs.begin(), xs.end(), a[i]) - xs.begin());
    b[i] = (int) (lower_bound(xs.begin(), xs.end(), b[i]) - xs.begin());
    c[i] = (int) (lower_bound(xs.begin(), xs.end(), c[i]) - xs.begin());
    d[i] = (int) (lower_bound(xs.begin(), xs.end(), d[i]) - xs.begin());
  }
  int k = (int) xs.size();
  vector<array<int, 3>> ver;
  vector<array<int, 3>> hor;
  const int inf = (int) 1e9;
  vector<int> mx(4 * k, 0);
  vector<int> mn(4 * k, k - 1);
  function<void(int, int, int, int, int, int)> Modify = [&](int x, int l, int r, int ll, int rr, int v) {
    if (l > r || ll > rr || l > rr || r < ll) {
      return;
    }
    if (ll <= l && r <= rr) {
      mx[x] = max(mx[x], v);
      mn[x] = min(mn[x], v);
      return;
    }
    int mid = l + r >> 1;
    if (rr <= mid) {
      Modify(x << 1, l, mid, ll, rr, v);
    } else if (ll > mid) {
      Modify(x << 1 | 1, mid + 1, r, ll, rr, v);
    } else {
      Modify(x << 1, l, mid, ll, rr, v);
      Modify(x << 1 | 1, mid + 1, r, ll, rr, v);
    }
  };
  function<int(int, int, int, int)> QueryMin = [&](int x, int l, int r, int i) {
    if (l == r) {
      return mn[x];
    }
    int mid = l + r >> 1;
    if (i <= mid) {
      return min(QueryMin(x << 1, l, mid, i), mn[x]);
    } else {
      return min(QueryMin(x << 1 | 1, mid + 1, r, i), mn[x]);
    }
  };
  function<int(int, int, int, int)> QueryMax = [&](int x, int l, int r, int i) {
    if (l == r) {
      return mx[x];
    }
    int mid = l + r >> 1;
    if (i <= mid) {
      return max(QueryMax(x << 1, l, mid, i), mx[x]);
    } else {
      return max(QueryMax(x << 1 | 1, mid + 1, r, i), mx[x]);
    }
  };
  {
    // left
    mx = vector<int>(4 * k, 0);
    mn = vector<int>(4 * k, k - 1);
    vector<int> order(n);
    iota(order.begin(), order.end(), 0);
    sort(order.begin(), order.end(), [&](int i, int j) {
      return b[i] < b[j];
    });
    vector<int> from(n);
    vector<int> to(n);
    set<pair<int, int>> st;
    for (int i : order) {
      while (!st.empty()) {
        auto it = st.begin();
        int idx = it->second;
        if (d[idx] < b[i]) {
          Modify(1, 0, k - 1, a[idx] + 1, c[idx] - 1, d[idx]);
          st.erase(it);
        } else {
          break;
        }
      }
      from[i] = QueryMax(1, 0, k - 1, a[i]);
      st.emplace(d[i], i);
    }
    mx = vector<int>(4 * k, 0);
    mn = vector<int>(4 * k, k - 1);
    sort(order.begin(), order.end(), [&](int i, int j) {
      return d[i] > d[j];
    });
    st.clear();
    for (int i : order) {
      while (!st.empty()) {
        auto it = prev(st.end());
        int idx = it->second;
        if (b[idx] > d[i]) {
          Modify(1, 0, k - 1, a[idx] + 1, c[idx] - 1, b[idx]);
          st.erase(it);
        } else {
          break;
        }
      }
      to[i] = QueryMin(1, 0, k - 1, a[i]);
      st.emplace(b[i], i);
    }
    for (int i = 0; i < n; i++) {
      ver.push_back({a[i], from[i], to[i]});
    }
  }
  {
    // right
    mx = vector<int>(4 * k, 0);
    mn = vector<int>(4 * k, k - 1);
    vector<int> order(n);
    iota(order.begin(), order.end(), 0);
    sort(order.begin(), order.end(), [&](int i, int j) {
      return b[i] < b[j];
    });
    vector<int> from(n);
    vector<int> to(n);
    set<pair<int, int>> st;
    for (int i : order) {
      while (!st.empty()) {
        auto it = st.begin();
        int idx = it->second;
        if (d[idx] < b[i]) {
          Modify(1, 0, k - 1, a[idx] + 1, c[idx] - 1, d[idx]);
          st.erase(it);
        } else {
          break;
        }
      }
      from[i] = QueryMax(1, 0, k - 1, c[i]);
      st.emplace(d[i], i);
    }
    mx = vector<int>(4 * k, 0);
    mn = vector<int>(4 * k, k - 1);
    sort(order.begin(), order.end(), [&](int i, int j) {
      return d[i] > d[j];
    });
    st.clear();
    for (int i : order) {
      while (!st.empty()) {
        auto it = prev(st.end());
        int idx = it->second;
        if (b[idx] > d[i]) {
          Modify(1, 0, k - 1, a[idx] + 1, c[idx] - 1, b[idx]);
          st.erase(it);
        } else {
          break;
        }
      }
      to[i] = QueryMin(1, 0, k - 1, c[i]);
      st.emplace(b[i], i);
    }
    for (int i = 0; i < n; i++) {
      ver.push_back({c[i], from[i], to[i]});
    }
  }
  {
    // bottom
    mx = vector<int>(4 * k, 0);
    mn = vector<int>(4 * k, k - 1);
    vector<int> order(n);
    iota(order.begin(), order.end(), 0);
    sort(order.begin(), order.end(), [&](int i, int j) {
      return a[i] < a[j];
    });
    vector<int> from(n);
    vector<int> to(n);
    set<pair<int, int>> st;
    for (int i : order) {
      while (!st.empty()) {
        auto it = st.begin();
        int idx = it->second;
        if (c[idx] < a[i]) {
          Modify(1, 0, k - 1, b[idx] + 1, d[idx] - 1, c[idx]);
          st.erase(it);
        } else {
          break;
        }
      }
      from[i] = QueryMax(1, 0, k - 1, b[i]);
      st.emplace(c[i], i);
    }
    mx = vector<int>(4 * k, 0);
    mn = vector<int>(4 * k, k - 1);
    sort(order.begin(), order.end(), [&](int i, int j) {
      return c[i] > c[j];
    });
    st.clear();
    for (int i : order) {
      while (!st.empty()) {
        auto it = prev(st.end());
        int idx = it->second;
        if (a[idx] > c[i]) {
          Modify(1, 0, k - 1, b[idx] + 1, d[idx] - 1, a[idx]);
          st.erase(it);
        } else {
          break;
        }
      }
      to[i] = QueryMin(1, 0, k - 1, b[i]);
      st.emplace(a[i], i);
    }
    for (int i = 0; i < n; i++) {
      hor.push_back({b[i], from[i], to[i]});
    }
  }
  for (int i = 0; i < n; i++) {
    {
      // top
      int from = 0;
      for (int j = 0; j < n; j++) {
        if (c[j] < a[i] && b[j] < d[i] && d[i] < d[j]) {
          from = max(from, c[j]);
        }
      }
      int to = k - 1;
      for (int j = 0; j < n; j++) {
        if (a[j] > c[i] && b[j] < d[i] && d[i] < d[j]) {
          to = min(to, a[j]);
        }
      }
      hor.push_back({d[i], from, to});
    }
  }


  {
    // start ver
    int from = 0;
    for (int i = 0; i < n; i++) {
      if (d[i] < t && a[i] < s && s < c[i]) {
        from = max(from, d[i]);
      }
    }
    int to = k - 1;
    for (int i = 0; i < n; i++) {
      if (b[i] > t && a[i] < s && s < c[i]) {
        to = min(to, b[i]);
      }
    }
    ver.push_back({s, from, to});
  }
  {
    // start hor
    int from = 0;
    for (int i = 0; i < n; i++) {
      if (c[i] < s && b[i] < t && t < d[i]) {
        from = max(from, c[i]);
      }
    }
    int to = k - 1;
    for (int i = 0; i < n; i++) {
      if (a[i] > s && b[i] < t && t < d[i]) {
        to = min(to, a[i]);
      }
    }
    hor.push_back({t, from, to});
  }


  {
    // end ver
    int from = 0;
    for (int i = 0; i < n; i++) {
      if (d[i] < v && a[i] < u && u < c[i]) {
        from = max(from, d[i]);
      }
    }
    int to = k - 1;
    for (int i = 0; i < n; i++) {
      if (b[i] > v && a[i] < u && u < c[i]) {
        to = min(to, b[i]);
      }
    }
    ver.push_back({u, from, to});
  }
  {
    // end hor
    int from = 0;
    for (int i = 0; i < n; i++) {
      if (c[i] < u && b[i] < v && v < d[i]) {
        from = max(from, c[i]);
      }
    }
    int to = k - 1;
    for (int i = 0; i < n; i++) {
      if (a[i] > u && b[i] < v && v < d[i]) {
        to = min(to, a[i]);
      }
    }
    hor.push_back({v, from, to});
  }


  sort(hor.begin(), hor.end());
  sort(ver.begin(), ver.end());
  hor.erase(unique(hor.begin(), hor.end()), hor.end());
  ver.erase(unique(ver.begin(), ver.end()), ver.end());
  int sh = (int) hor.size();
  int sv = (int) ver.size();
  int m = sh + sv;
  vector<int> dist(m, -1);
  for (int i = 0; i < sh; i++) {
    if (hor[i][0] == t && hor[i][1] <= s && s <= hor[i][2]) {
      dist[i] = 1;
    }
  }
  for (int i = 0; i < sv; i++) {
    if (ver[i][0] == s && ver[i][1] <= t && t <= ver[i][2]) {
      dist[sh + i] = 1;
    }
  }
  vector<int> que;
  for (int i = 0; i < m; i++) {
    if (dist[i] == 1) {
      que.push_back(i);
    }
  }
  vector<set<pair<int, int>>> st_hor(4 * k);
  vector<set<pair<int, int>>> st_ver(4 * k);
  vector<int> qv;
  function<void(int, int, int, int, int, int, pair<int, int>)> Insert = [&](int t, int x, int l, int r, int ll, int rr, pair<int, int> p) {
    if (ll <= l && r <= rr) {
      if (t == 0) {
        st_hor[x].insert(p);
      } else {
        st_ver[x].insert(p);
      }
      return;
    }
    int mid = l + r >> 1;
    if (rr <= mid) {
      Insert(t, x << 1, l, mid, ll, rr, p);
    } else if (ll > mid) {
      Insert(t, x << 1 | 1, mid + 1, r, ll, rr, p);
    } else {
      Insert(t, x << 1, l, mid, ll, rr, p);
      Insert(t, x << 1 | 1, mid + 1, r, ll, rr, p);
    }
  };
  function<void(int, int, int, int, int, int, pair<int, int>)> Remove = [&](int t, int x, int l, int r, int ll, int rr, pair<int, int> p) {
    if (ll <= l && r <= rr) {
      if (t == 0) {
        st_hor[x].erase(p);
      } else {
        st_ver[x].erase(p);
      }
      return;
    }
    int mid = l + r >> 1;
    if (rr <= mid) {
      Remove(t, x << 1, l, mid, ll, rr, p);
    } else if (ll > mid) {
      Remove(t, x << 1 | 1, mid + 1, r, ll, rr, p);
    } else {
      Remove(t, x << 1, l, mid, ll, rr, p);
      Remove(t, x << 1 | 1, mid + 1, r, ll, rr, p);
    }
  };
  function<void(int, int, int, int, int, int, int)> Query = [&](int t, int x, int l, int r, int i, int ll, int rr) {
    if (t == 0) {
      while (true) {
        auto it = st_hor[x].lower_bound(make_pair(ll, -1));
        if (it != st_hor[x].end() && it->first <= rr) {
          int idx = it->second;
          qv.push_back(idx);
          Remove(0, 1, 0, k - 1, hor[idx][1], hor[idx][2], make_pair(hor[idx][0], idx));
        } else {
          break;
        }
      }
    } else {
      while (true) {
        auto it = st_ver[x].lower_bound(make_pair(ll, -1));
        if (it != st_ver[x].end() && it->first <= rr) {
          int idx = it->second;
          qv.push_back(idx);
          Remove(1, 1, 0, k - 1, ver[idx][1], ver[idx][2], make_pair(ver[idx][0], idx));
        } else {
          break;
        }
      }
    }
    if (l == r) {
      return;
    }
    int mid = l + r >> 1;
    if (i <= mid) {
      Query(t, x << 1, l, mid, i, ll, rr);
    } else {
      Query(t, x << 1 | 1, mid + 1, r, i, ll, rr);
    }
  };
  for (int i = 0; i < sh; i++) {
    if (dist[i] == -1) {
      Insert(0, 1, 0, k - 1, hor[i][1], hor[i][2], make_pair(hor[i][0], i));
    }
  }
  for (int i = 0; i < sv; i++) {
    if (dist[sh + i] == -1) {
      Insert(1, 1, 0, k - 1, ver[i][1], ver[i][2], make_pair(ver[i][0], i));
    }
  }
  for (int q = 0; q < (int) que.size(); q++) {
    int x = que[q];
    if (x < sh) {
      qv.clear();
      Query(1, 1, 0, k - 1, hor[x][0], hor[x][1], hor[x][2]);
      for (int i : qv) {
        dist[sh + i] = dist[x] + 1;
        que.push_back(sh + i);
      }
    } else {
      x -= sh;
      qv.clear();
      Query(0, 1, 0, k - 1, ver[x][0], ver[x][1], ver[x][2]);
      for (int i : qv) {
        dist[i] = dist[x + sh] + 1;
        que.push_back(i);
      }
    }
  }
  int res = inf;
  for (int i = 0; i < sh; i++) {
    if (hor[i][0] == v && hor[i][1] <= u && u <= hor[i][2]) {
      res = min(res, dist[i]);
    }
  }
  for (int i = 0; i < sv; i++) {
    if (ver[i][0] == u && ver[i][1] <= v && v <= ver[i][2]) {
      res = min(res, dist[i + sh]);
    }
  }
  cout << res << '\n';
  return 0;
}

Compilation message

golf.cpp: In lambda function:
golf.cpp:56:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   56 |     int mid = l + r >> 1;
      |               ~~^~~
golf.cpp: In lambda function:
golf.cpp:70:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   70 |     int mid = l + r >> 1;
      |               ~~^~~
golf.cpp: In lambda function:
golf.cpp:81:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   81 |     int mid = l + r >> 1;
      |               ~~^~~
golf.cpp: In lambda function:
golf.cpp:362:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  362 |     int mid = l + r >> 1;
      |               ~~^~~
golf.cpp: In lambda function:
golf.cpp:381:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  381 |     int mid = l + r >> 1;
      |               ~~^~~
golf.cpp: In lambda function:
golf.cpp:418:17: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  418 |     int mid = l + r >> 1;
      |               ~~^~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 17 ms 1628 KB Output is correct
6 Correct 17 ms 1636 KB Output is correct
7 Correct 16 ms 1624 KB Output is correct
8 Correct 18 ms 1636 KB Output is correct
9 Correct 17 ms 1644 KB Output is correct
10 Correct 17 ms 1624 KB Output is correct
11 Correct 17 ms 1628 KB Output is correct
12 Correct 17 ms 1628 KB Output is correct
13 Correct 17 ms 1580 KB Output is correct
14 Correct 17 ms 1628 KB Output is correct
15 Correct 3 ms 856 KB Output is correct
16 Correct 6 ms 1372 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 17 ms 1628 KB Output is correct
6 Correct 17 ms 1636 KB Output is correct
7 Correct 16 ms 1624 KB Output is correct
8 Correct 18 ms 1636 KB Output is correct
9 Correct 17 ms 1644 KB Output is correct
10 Correct 17 ms 1624 KB Output is correct
11 Correct 17 ms 1628 KB Output is correct
12 Correct 17 ms 1628 KB Output is correct
13 Correct 17 ms 1580 KB Output is correct
14 Correct 17 ms 1628 KB Output is correct
15 Correct 3 ms 856 KB Output is correct
16 Correct 6 ms 1372 KB Output is correct
17 Correct 22 ms 3420 KB Output is correct
18 Correct 23 ms 3420 KB Output is correct
19 Correct 21 ms 3420 KB Output is correct
20 Correct 21 ms 3420 KB Output is correct
21 Correct 21 ms 3420 KB Output is correct
22 Correct 21 ms 3420 KB Output is correct
23 Correct 20 ms 3416 KB Output is correct
24 Correct 21 ms 3420 KB Output is correct
25 Correct 20 ms 3416 KB Output is correct
26 Correct 23 ms 3316 KB Output is correct
27 Correct 5 ms 856 KB Output is correct
28 Correct 7 ms 1628 KB Output is correct
29 Correct 7 ms 1612 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 604 KB Output is correct
5 Correct 17 ms 1628 KB Output is correct
6 Correct 17 ms 1636 KB Output is correct
7 Correct 16 ms 1624 KB Output is correct
8 Correct 18 ms 1636 KB Output is correct
9 Correct 17 ms 1644 KB Output is correct
10 Correct 17 ms 1624 KB Output is correct
11 Correct 17 ms 1628 KB Output is correct
12 Correct 17 ms 1628 KB Output is correct
13 Correct 17 ms 1580 KB Output is correct
14 Correct 17 ms 1628 KB Output is correct
15 Correct 3 ms 856 KB Output is correct
16 Correct 6 ms 1372 KB Output is correct
17 Correct 22 ms 3420 KB Output is correct
18 Correct 23 ms 3420 KB Output is correct
19 Correct 21 ms 3420 KB Output is correct
20 Correct 21 ms 3420 KB Output is correct
21 Correct 21 ms 3420 KB Output is correct
22 Correct 21 ms 3420 KB Output is correct
23 Correct 20 ms 3416 KB Output is correct
24 Correct 21 ms 3420 KB Output is correct
25 Correct 20 ms 3416 KB Output is correct
26 Correct 23 ms 3316 KB Output is correct
27 Correct 5 ms 856 KB Output is correct
28 Correct 7 ms 1628 KB Output is correct
29 Correct 7 ms 1612 KB Output is correct
30 Execution timed out 10059 ms 29044 KB Time limit exceeded
31 Halted 0 ms 0 KB -