Submission #1055558

#	Time	Username	Problem	Language	Result	Execution time	Memory
1055558		MilosMilutinovic	Sandcastle 2 (JOI22_ho_t5)	C++14	71 / 100	5065 ms	176752 KiB

Main

#include <bits/stdc++.h>

using namespace std;

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

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];
    }
  }
  const int L = 17;
  vector<vector<vector<vector<int>>>> st(n, vector<vector<vector<int>>>(m, vector<vector<int>>(L, vector<int>(L))));
  vector<int> logs(max(n, m) + 1);
  for (int i = 2; i <= max(n, m); i++) {
    logs[i] = logs[i >> 1] + 1;
  }
  for (int i = 0; i < n; i++) {
    for (int j = 0; j < m; j++) {
      st[i][j][0][0] = a[i][j];
    }
  }
  for (int k = 1; k < L; k++) {
    for (int i = 0; i + (1 << k) <= n; i++) {
      for (int j = 0; j < m; j++) {
        st[i][j][k][0] = max(st[i][j][k - 1][0], st[i + (1 << (k - 1))][j][k - 1][0]);
      }
    }
  }
  for (int k = 1; k < L; k++) {
    for (int t = 0; t < L; t++) {
      for (int i = 0; i < n; i++) {
        for (int j = 0; j + (1 << k) <= m; j++) {
          st[i][j][t][k] = max(st[i][j][t][k - 1], st[i][j + (1 << (k - 1))][t][k - 1]);
        }
      }
    }
  }
  auto Query = [&](int x1, int y1, int x2, int y2) {
    int kx = logs[x2 - x1 + 1];
    int ky = logs[y2 - y1 + 1];
    return max({st[x1][y1][kx][ky], st[x2 - (1 << kx) + 1][y1][kx][ky], st[x1][y2 - (1 << ky) + 1][kx][ky],
              st[x2 - (1 << kx) + 1][y2 - (1 << ky) + 1][kx][ky]});
  };
  vector<vector<vector<long long>>> f(n, vector<vector<long long>>(m, vector<long long>(1 << 4)));
  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[i][j][mask] += f[i - 1][j][mask];
        }
        if (j > 0) {
          f[i][j][mask] += f[i][j - 1][mask];
        }
        if (i > 0 && j > 0) {
          f[i][j][mask] -= f[i - 1][j - 1][mask];
        }
        f[i][j][mask] -= 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[i][j][mask] += mx;
      }
    }
  }
  auto GetSum = [&](int x1, int y1, int x2, int y2, int mask) {
    if (x1 > x2 || y1 > y2) {
      return 0LL;
    }
    long long res = f[x2][y2][mask];
    if (x1 > 0) {
      res -= f[x1 - 1][y2][mask];
    }
    if (y1 > 0) {
      res -= f[x2][y1 - 1][mask];
    }
    if (x1 > 0 && y1 > 0) {
      res += f[x1 - 1][y1 - 1][mask];
    }
    return res;
  };
  int res = 0;
  for (int x1 = 0; x1 < n; x1++) {
    for (int y1 = 0; y1 < m; y1++) {
      for (int x2 = x1; x2 < n; x2++) {
        for (int y2 = y1; y2 < m; y2++) {
          if (x1 == x2 && y1 == y2) {
            res += 1;
            continue;
          }
          auto Valid = [&](int x, int y) {
            return x1 <= x && x <= x2 && y1 <= y && y <= y2;
          };
          long long s = 0;
          int mx = Query(x1, y1, x2, y2);
          if (x1 == x2) {
            {
              s += GetSum(x1, y1, x1, y1, 1 << 2);
            }
            {
              s += GetSum(x1, y2, x1, y2, 1 << 3);
            }
            if (y1 + 1 < y2) {
              s += GetSum(x1, y1 + 1, x1, y2 - 1, (1 << 2) + (1 << 3));
            }
          } else if (y1 == y2) {
            {
              s += GetSum(x1, y1, x1, y1, 1 << 0);
            }
            {
              s += GetSum(x2, y1, x2, y1, 1 << 1);
            }
            if (x1 + 1 < x2) {
              s += GetSum(x1 + 1, y1, x2 - 1, y1, (1 << 0) + (1 << 1));
            }
          } else {
            {
              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) {
            res += 1;
          }
        }
      }
    }
  }
  cout << res << '\n';
  return 0;
}

Compilation message (stderr)

Main.cpp: In function 'int main()':
Main.cpp:105:16: warning: variable 'Valid' set but not used [-Wunused-but-set-variable]
  105 |           auto Valid = [&](int x, int y) {
      |                ^~~~~

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