oj.uz

Submission #1072524

# Submission time Handle Problem Language Result Execution time Memory
1072524 2024-08-23T21:14:02 Z MilosMilutinovic Pyramid Base (IOI08_pyramid_base) C++14
100 / 100
 2520 ms 208736 KB 
#include <bits/stdc++.h>

using namespace std;

#define y1 fuaihcoia

const int N = (int) (4e5);

int n, m, b, k;
int x1[N], y1[N], x2[N], y2[N], c[N];

void Solve0() {
  vector<vector<vector<int>>> qs(n, vector<vector<int>>(2));
  for (int i = 0; i < k; i++) {
    qs[x2[i]][0].push_back(i);
    qs[x1[i]][1].push_back(i);
  }
  vector<array<int, 6>> st(4 * m);
  auto Push = [&](int x) {
    if (x * 2 + 1 >= 4 * m) {
      return;
    }
    st[x * 2][0] += st[x][1];
    st[x * 2][1] += st[x][1];
    st[x * 2 + 1][0] += st[x][1];
    st[x * 2 + 1][1] += st[x][1];
    st[x][1] = 0;
  };
  function<void(int, int, int)> Build = [&](int x, int l, int r) {
    int d = r - l + 1; 
    st[x] = {0, 0, d, d, d, d}; 
    if (l == r) {
      return;
    }
    int mid = (l + r) >> 1;
    Build(x * 2, l, mid);
    Build(x * 2 + 1, mid + 1, r);
  };
  function<void(int, int, int, int, int, int)> Modify = [&](int x, int l, int r, int ll, int rr, int v) {
    if (ll <= l && r <= rr) {
      st[x][0] += v;
      st[x][1] += v;
      Push(x);
      return;
    }
    Push(x);
    int mid = (l + r) >> 1;
    if (rr <= mid) {
      Modify(x * 2, l, mid, ll, rr, v);
    } else if (ll > mid) {
      Modify(x * 2 + 1, mid + 1, r, ll, rr, v);
    } else {
      Modify(x * 2, l, mid, ll, rr, v);
      Modify(x * 2 + 1, mid + 1, r, ll, rr, v);
    }
    st[x][0] = min(st[x * 2][0], st[x * 2 + 1][0]);
    st[x][2] = max({(st[x * 2][0] == st[x][0] ? st[x * 2][2] : 0), (st[x * 2 + 1][0] == st[x][0] ? st[x * 2 + 1][2] : 0), (st[x * 2][0] == st[x][0] ? st[x * 2][4] : 0) + (st[x * 2 + 1][0] == st[x][0] ? st[x * 2 + 1][3] : 0)}); 
    st[x][3] = (st[x * 2][0] == st[x][0] ? st[x * 2][3] : 0) + (st[x * 2][0] == st[x][0] && st[x * 2 + 1][0] == st[x][0] && st[x * 2][3] == st[x * 2][5] ? st[x * 2 + 1][3] : 0);
    st[x][4] = (st[x * 2 + 1][0] == st[x][0] ? st[x * 2 + 1][4] : 0) + (st[x * 2][0] == st[x][0] && st[x * 2 + 1][0] == st[x][0] && st[x * 2 + 1][4] == st[x * 2 + 1][5] ? st[x * 2][4] : 0);
  };
  Build(1, 0, m - 1);
  int ptr = n - 1;
  int res = 0;
  for (int i = n - 1; i >= 0; i--) {
    for (int j : qs[i][0]) {
      Modify(1, 0, m - 1, y1[j], y2[j], 1);
    }
    while (ptr - i + 1 > (st[1][0] == 0 ? st[1][2] : 0)) {
      for (int j : qs[ptr][1]) {
        Modify(1, 0, m - 1, y1[j], y2[j], -1);
      }
      ptr -= 1;
    }
    res = max(res, ptr - i + 1);
  }
  cout << res << '\n';
}

const int M = (int) (1e6);

long long mn[4 * M], lzy[4 * M];

void Push(int x) {
  if (x * 2 + 1 >= 4 * m) {
    return;
  }
  mn[x * 2] += lzy[x];
  lzy[x * 2] += lzy[x];
  mn[x * 2 + 1] += lzy[x];
  lzy[x * 2 + 1] += lzy[x];
  lzy[x] = 0;
}

void Modify(int x, int l, int r, int ll, int rr, long long v) {
  if (ll <= l && r <= rr) {
    mn[x] += v;
    lzy[x] += v;
    Push(x);
    return;
  }
  Push(x);
  int mid = (l + r) >> 1;
  if (rr <= mid) {
    Modify(x * 2, l, mid, ll, rr, v);
  } else if (ll > mid) {
    Modify(x * 2 + 1, mid + 1, r, ll, rr, v);
  } else {
    Modify(x * 2, l, mid, ll, rr, v);
    Modify(x * 2 + 1, mid + 1, r, ll, rr, v);
  }
  mn[x] = min(mn[x * 2], mn[x * 2 + 1]);
}

long long Query(int x, int l, int r, int ll, int rr) {
  if (ll <= l && r <= rr) {
    return mn[x];
  }
  Push(x);
  int mid = (l + r) >> 1;
  long long res;
  if (rr <= mid) {
    res = Query(x * 2, l, mid, ll, rr);
  } else if (ll > mid) {
    res = Query(x * 2 + 1, mid + 1, r, ll, rr);
  } else {
    res = min(Query(x * 2, l, mid, ll, rr), Query(x * 2 + 1, mid + 1, r, ll, rr));
  }
  mn[x] = min(mn[x * 2], mn[x * 2 + 1]);
  return res;
}

bool Check(int d) {
  vector<vector<vector<int>>> qs(n + 1, vector<vector<int>>(2));
  for (int i = 0; i < k; i++) {
    qs[x1[i]][0].push_back(i);
    qs[min(n, x2[i] + d)][1].push_back(i);
  }
  for (int i = 0; i < 4 * m; i++) {
    mn[i] = 0;
    lzy[i] = 0;
  }
  for (int i = 0; i < n; i++) {
    for (int j : qs[i][0]) {
      Modify(1, 0, m - 1, max(0, y1[j] - d + 1), y2[j], c[j]);
    }
    for (int j : qs[i][1]) {
      Modify(1, 0, m - 1, max(0, y1[j] - d + 1), y2[j], -c[j]);
    }
    if (i + 1 != d && i + 1 != n && qs[i][0].empty() && qs[i][1].empty()) {
      continue;
    }
    if (i + 1 >= d && Query(1, 0, m - 1, 0, m - d) <= b) {
      return true;
    }
  }
  return false;
}

void Solve1() {
  int low = 1, high = min(n, m), res = 0;
  while (low <= high) {
    int mid = (low + high) >> 1;
    if (Check(mid)) {
      res = mid;
      low = mid + 1;
    } else {
      high = mid - 1;
    }
  }
  cout << res << '\n';
}

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  cin >> n >> m >> b >> k;
  for (int i = 0; i < k; i++) {
    cin >> x1[i] >> y1[i] >> x2[i] >> y2[i] >> c[i];
    --x1[i]; --y1[i];
    --x2[i]; --y2[i];
  }
  if (b == 0) {
    Solve0();
  } else {
    Solve1();
  }
  return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct

Subtask #3
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2652 KB Output is correct

Subtask #4
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 4184 KB Output is correct

Subtask #5
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 22620 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 117 ms 180588 KB Output is correct
2 Correct 109 ms 180588 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 112 ms 180496 KB Output is correct
2 Correct 119 ms 180560 KB Output is correct

Subtask #8
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 38 ms 2160 KB Output is correct
2 Correct 56 ms 2160 KB Output is correct
3 Correct 70 ms 2312 KB Output is correct

Subtask #9
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 292 ms 16428 KB Output is correct
2 Correct 453 ms 18456 KB Output is correct
3 Correct 389 ms 18384 KB Output is correct

Subtask #10
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1625 ms 154496 KB Output is correct
2 Correct 447 ms 90036 KB Output is correct
3 Correct 168 ms 67684 KB Output is correct
4 Correct 1640 ms 152736 KB Output is correct

Subtask #11
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1909 ms 152972 KB Output is correct
2 Correct 2047 ms 152896 KB Output is correct
3 Correct 1553 ms 152656 KB Output is correct

Subtask #12
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1803 ms 153108 KB Output is correct
2 Correct 2520 ms 153384 KB Output is correct
3 Correct 2281 ms 154164 KB Output is correct
4 Correct 2514 ms 154156 KB Output is correct
5 Correct 2433 ms 155960 KB Output is correct
6 Correct 1524 ms 153684 KB Output is correct

Subtask #13
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 584 ms 197716 KB Output is correct
2 Correct 314 ms 106988 KB Output is correct

Subtask #14
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 762 ms 203056 KB Output is correct
2 Correct 805 ms 199496 KB Output is correct
3 Correct 513 ms 113488 KB Output is correct

Subtask #15
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 905 ms 208736 KB Output is correct
2 Correct 1210 ms 206588 KB Output is correct
3 Correct 1234 ms 206404 KB Output is correct
4 Correct 1098 ms 204172 KB Output is correct
5 Correct 805 ms 198328 KB Output is correct