Submission #1055574

#	Time	Username	Problem	Language	Result	Execution time	Memory
1055574		MilosMilutinovic	Sandcastle 2 (JOI22_ho_t5)	C++14	0 / 100	5095 ms	47160 KiB

Main

#include <bits/stdc++.h>

using namespace std;

const int di[] = {1, -1, 0, 0};
const int dj[] = {0, 0, 1, -1};

vector<vector<long long>> f[1 << 4];

int logs[50005];
int mx[50005][250];

/* int Query(int x1, int y1, int x2, int y2) {
  int kx = logs[x2 - x1 + 1];
  int ky = logs[y2 - y1 + 1];
  return max({st[kx][ky][x1][y1], st[kx][ky][x2 - (1 << kx) + 1][y1], st[kx][ky][x1][y2 - (1 << ky) + 1],
            st[kx][ky][x2 - (1 << kx) + 1][y2 - (1 << ky) + 1]});
} */

long long GetSum(int x1, int y1, int x2, int y2, int mask) {
  long long res = f[mask][x2][y2];
  if (x1 > 0) {
    res -= f[mask][x1 - 1][y2];
  }
  if (y1 > 0) {
    res -= f[mask][x2][y1 - 1];
  }
  if (x1 > 0 && y1 > 0) {
    res += f[mask][x1 - 1][y1 - 1];
  }
  return res;
}

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, m;
  cin >> n >> m;
  vector<vector<int>> a(n, vector<int>(m));
  for (int i = 0; i < n; i++) {
    for (int j = 0; j < m; j++) {
      cin >> a[i][j];
    }
  }
  if (n < m) {
    vector<vector<int>> b(m, vector<int>(n));
    for (int i = 0; i < n; i++) {
      for (int j = 0; j < m; j++) {
        b[j][i] = a[i][j];
      }
    }
    a = b;
    swap(n, m);
  }
  for (int mask = 0; mask < (1 << 4); mask++) {
    f[mask] = vector<vector<long long>>(n, vector<long long>(m));
  }
  for (int i = 0; i < n; i++) {
    for (int j = 0; j < m; j++) {
      for (int mask = 0; mask < (1 << 4); mask++) {
        if (i > 0) {
          f[mask][i][j] += f[mask][i - 1][j];
        }
        if (j > 0) {
          f[mask][i][j] += f[mask][i][j - 1];
        }
        if (i > 0 && j > 0) {
          f[mask][i][j] -= f[mask][i - 1][j - 1];
        }
        f[mask][i][j] -= a[i][j];
        int mx = 0;
        for (int d = 0; d < 4; d++) {
          if (mask >> d & 1) {
            int ni = i + di[d];
            int nj = j + dj[d];
            if (0 <= ni && ni < n && 0 <= nj && nj < m && a[ni][nj] < a[i][j]) {
              mx = max(mx, a[ni][nj]);
            }
          }
        }
        f[mask][i][j] += mx;
      }
    }
  }
  int res = n * m;
  for (int x = 0; x < n; x++) {
    for (int y1 = 0; y1 < m; y1++) {
      int mx = a[x][y1];
      for (int y2 = y1 + 1; y2 < m; y2++) {
        mx = max(mx, a[x][y2]);
        long long s = 0;
        s += GetSum(x, y1, x, y1, 1 << 2);
        s += GetSum(x, y2, x, y2, 1 << 3);
        if (y1 + 1 < y2) {
          s += GetSum(x, y1 + 1, x, y2 - 1, (1 << 2) + (1 << 3));
        }
        if (s == -mx) {
          res += 1;
        }
      }
    }
  }
  for (int y = 0; y < m; y++) {
    for (int x1 = 0; x1 < n; x1++) {
      int mx = a[x1][y];
      for (int x2 = x1 + 1; x2 < n; x2++) {
        mx = max(mx, a[y][x2]);
        long long s = 0;
        s += GetSum(x1, y, x1, y, 1 << 0);
        s += GetSum(x2, y, x2, y, 1 << 1);
        if (x1 + 1 < x2) {
          s += GetSum(x1 + 1, y, x2 - 1, y, (1 << 0) + (1 << 1));
        }
        if (s == -mx) {
          res += 1;
        }
      }
    }
  }
  for (int x1 = 0; x1 < n; ++x1) {
    for (int y1 = 0; y1 < m; ++y1) {
      for (int x2 = x1 + 1; x2 < n; ++x2) {
        for (int y2 = y1 + 1; y2 < m; ++y2) {
          mx[x2][y2] = a[x2][y2];
          if (x1 == x2 && y1 == y2) {
            res += 1;
            continue;
          }
          if (x1 < x2) {
            mx[x2][y2] = max(mx[x2][y2], mx[x2 - 1][y2]);
          }
          if (y1 < y2) {
            mx[x2][y2] = max(mx[x2][y2], mx[x2][y2 - 1]);
          }
          if (x1 < x2 && y1 < y2) {
            mx[x2][y2] = max(mx[x2][y2], mx[x2 - 1][y2 - 1]);
          }
          long long s = 0;
          s += GetSum(x1, y1, x1, y1, (1 << 0) + (1 << 2));
          s += GetSum(x1, y2, x1, y2, (1 << 0) + (1 << 3));
          s += GetSum(x2, y1, x2, y1, (1 << 1) + (1 << 2));
          s += GetSum(x2, y2, x2, y2, (1 << 1) + (1 << 3));
          if (x1 + 1 < x2) {
            s += GetSum(x1 + 1, y1, x2 - 1, y1, (1 << 0) + (1 << 1) + (1 << 2));
            s += GetSum(x1 + 1, y2, x2 - 1, y2, (1 << 0) + (1 << 1) + (1 << 3));
          }
          if (y1 + 1 < y2) {
            s += GetSum(x1, y1 + 1, x1, y2 - 1, (1 << 2) + (1 << 3) + (1 << 0));
            s += GetSum(x2, y1 + 1, x2, y2 - 1, (1 << 2) + (1 << 3) + (1 << 1));
          }
          if (x1 + 1 < x2 && y1 + 1 < y2) {
            s += GetSum(x1 + 1, y1 + 1, x2 - 1, y2 - 1, (1 << 0) + (1 << 1) + (1 << 2) + (1 << 3));
          }
          if (s == -mx[x2][y2]) {
            res += 1;
          }
        }
      }
    }
  }
  cout << res << '\n';
  return 0;
}

• Subtask 1: 0 / 9
• Subtask 2: 0 / 10
• Subtask 3: 0 / 5
• Subtask 4: 0 / 56
• Subtask 5: 0 / 20