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Submission #1055569

# Submission time Handle Problem Language Result Execution time Memory
1055569 2024-08-12T22:03:04 Z MilosMilutinovic Sandcastle 2 (JOI22_ho_t5) C++14
71 / 100
 5000 ms 513360 KB 
#include <bits/stdc++.h>

using namespace std;

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

const int L1 = 17;
const int L2 = 10;

vector<vector<int>> st[L1][L2];

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

int logs[50005];

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) {
  if (x1 > x2 || y1 > y2) {
    return 0LL;
  }
  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 i = 2; i <= max(n, m); i++) {
    logs[i] = logs[i >> 1] + 1;
  }
  for (int i = 0; i < L1; i++) {
    for (int j = 0; j < L2; j++) {
      st[i][j] = vector<vector<int>>(n, vector<int>(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++) {
      st[0][0][i][j] = a[i][j];
    }
  }
  for (int k = 1; k < L1; k++) {
    for (int i = 0; i + (1 << k) <= n; i++) {
      for (int j = 0; j < m; j++) {
        st[k][0][i][j] = max(st[k - 1][0][i][j], st[k - 1][0][i + (1 << (k - 1))][j]);
      }
    }
  }
  for (int k = 1; k < L2; k++) {
    for (int t = 0; t < L1; t++) {
      for (int i = 0; i < n; i++) {
        for (int j = 0; j + (1 << k) <= m; j++) {
          st[t][k][i][j] = max(st[t][k - 1][i][j], st[t][k - 1][i][j + (1 << (k - 1))]);
        }
      }
    }
  }
  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 = 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;
          }
          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;
}

Subtask #1
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Execution timed out 5069 ms 513336 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 0 ms 604 KB Output is correct
3 Correct 0 ms 604 KB Output is correct
4 Correct 0 ms 604 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 0 ms 604 KB Output is correct

Subtask #3
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 0 ms 604 KB Output is correct
3 Correct 0 ms 604 KB Output is correct
4 Correct 0 ms 604 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 0 ms 604 KB Output is correct
7 Correct 22 ms 15708 KB Output is correct
8 Correct 22 ms 15708 KB Output is correct
9 Correct 12 ms 1884 KB Output is correct
10 Correct 12 ms 1884 KB Output is correct
11 Correct 17 ms 8028 KB Output is correct
12 Correct 16 ms 8024 KB Output is correct
13 Correct 12 ms 1624 KB Output is correct
14 Correct 6 ms 1372 KB Output is correct
15 Correct 13 ms 1884 KB Output is correct
16 Correct 13 ms 1980 KB Output is correct

Subtask #4
56.0 / 56.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 0 ms 604 KB Output is correct
3 Correct 0 ms 604 KB Output is correct
4 Correct 0 ms 604 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 0 ms 604 KB Output is correct
7 Correct 22 ms 15708 KB Output is correct
8 Correct 22 ms 15708 KB Output is correct
9 Correct 12 ms 1884 KB Output is correct
10 Correct 12 ms 1884 KB Output is correct
11 Correct 17 ms 8028 KB Output is correct
12 Correct 16 ms 8024 KB Output is correct
13 Correct 12 ms 1624 KB Output is correct
14 Correct 6 ms 1372 KB Output is correct
15 Correct 13 ms 1884 KB Output is correct
16 Correct 13 ms 1980 KB Output is correct
17 Correct 308 ms 73008 KB Output is correct
18 Correct 262 ms 7000 KB Output is correct
19 Correct 260 ms 10332 KB Output is correct
20 Correct 255 ms 6724 KB Output is correct
21 Correct 248 ms 6492 KB Output is correct
22 Correct 256 ms 6488 KB Output is correct
23 Correct 237 ms 6332 KB Output is correct
24 Correct 197 ms 5976 KB Output is correct
25 Correct 259 ms 6744 KB Output is correct
26 Correct 265 ms 6492 KB Output is correct
27 Correct 273 ms 6752 KB Output is correct
28 Correct 259 ms 6744 KB Output is correct

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 0 ms 604 KB Output is correct
3 Correct 0 ms 604 KB Output is correct
4 Correct 0 ms 604 KB Output is correct
5 Correct 0 ms 604 KB Output is correct
6 Correct 0 ms 604 KB Output is correct
7 Correct 22 ms 15708 KB Output is correct
8 Correct 22 ms 15708 KB Output is correct
9 Correct 12 ms 1884 KB Output is correct
10 Correct 12 ms 1884 KB Output is correct
11 Correct 17 ms 8028 KB Output is correct
12 Correct 16 ms 8024 KB Output is correct
13 Correct 12 ms 1624 KB Output is correct
14 Correct 6 ms 1372 KB Output is correct
15 Correct 13 ms 1884 KB Output is correct
16 Correct 13 ms 1980 KB Output is correct
17 Correct 308 ms 73008 KB Output is correct
18 Correct 262 ms 7000 KB Output is correct
19 Correct 260 ms 10332 KB Output is correct
20 Correct 255 ms 6724 KB Output is correct
21 Correct 248 ms 6492 KB Output is correct
22 Correct 256 ms 6488 KB Output is correct
23 Correct 237 ms 6332 KB Output is correct
24 Correct 197 ms 5976 KB Output is correct
25 Correct 259 ms 6744 KB Output is correct
26 Correct 265 ms 6492 KB Output is correct
27 Correct 273 ms 6752 KB Output is correct
28 Correct 259 ms 6744 KB Output is correct
29 Execution timed out 5049 ms 513360 KB Time limit exceeded
30 Halted 0 ms 0 KB -