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Submission #1055578

# Submission time Handle Problem Language Result Execution time Memory
1055578 2024-08-12T22:33:22 Z MilosMilutinovic Sandcastle 2 (JOI22_ho_t5) C++14
71 / 100
 5000 ms 65852 KB 
#include <bits/stdc++.h>
 
using namespace std;

const int inf = (int) 1.001e9;
 
const int di[] = {1, -1, 0, 0};
const int dj[] = {0, 0, 1, -1};
 
const int L = 17;
 
vector<vector<int>> st[L][L];
 
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 < L; i++) {
    for (int j = 0; j < L; 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 < L; 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 < 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[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;
        int cnt = 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]);
            }
            if (0 <= ni && ni < n && 0 <= nj && nj < m && a[ni][nj] > a[i][j]) {
              cnt += 1;
            }
          }
        }
        if (cnt == 0) {
          mx += inf + a[i][j];
        }
        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 == inf) {
            res += 1;
          }
        }
      }
    }
  }
  cout << res << '\n';
  return 0;
}

Compilation message

Main.cpp: In function 'int main()':
Main.cpp:139:15: warning: unused variable 'mx' [-Wunused-variable]
  139 |           int mx = Query(x1, y1, x2, y2);
      |               ^~

Subtask #1
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Execution timed out 5099 ms 64436 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 600 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 600 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 9 ms 2392 KB Output is correct
8 Correct 9 ms 2348 KB Output is correct
9 Correct 10 ms 2680 KB Output is correct
10 Correct 13 ms 2652 KB Output is correct
11 Correct 9 ms 2396 KB Output is correct
12 Correct 8 ms 2428 KB Output is correct
13 Correct 10 ms 2672 KB Output is correct
14 Correct 6 ms 2140 KB Output is correct
15 Correct 10 ms 2672 KB Output is correct
16 Correct 11 ms 2648 KB Output is correct

Subtask #4
56.0 / 56.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 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 9 ms 2392 KB Output is correct
8 Correct 9 ms 2348 KB Output is correct
9 Correct 10 ms 2680 KB Output is correct
10 Correct 13 ms 2652 KB Output is correct
11 Correct 9 ms 2396 KB Output is correct
12 Correct 8 ms 2428 KB Output is correct
13 Correct 10 ms 2672 KB Output is correct
14 Correct 6 ms 2140 KB Output is correct
15 Correct 10 ms 2672 KB Output is correct
16 Correct 11 ms 2648 KB Output is correct
17 Correct 174 ms 9564 KB Output is correct
18 Correct 213 ms 9820 KB Output is correct
19 Correct 195 ms 9308 KB Output is correct
20 Correct 206 ms 10072 KB Output is correct
21 Correct 202 ms 10268 KB Output is correct
22 Correct 200 ms 10072 KB Output is correct
23 Correct 197 ms 9816 KB Output is correct
24 Correct 164 ms 8792 KB Output is correct
25 Correct 234 ms 10076 KB Output is correct
26 Correct 220 ms 10072 KB Output is correct
27 Correct 211 ms 10072 KB Output is correct
28 Correct 211 ms 10324 KB Output is correct

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 600 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 9 ms 2392 KB Output is correct
8 Correct 9 ms 2348 KB Output is correct
9 Correct 10 ms 2680 KB Output is correct
10 Correct 13 ms 2652 KB Output is correct
11 Correct 9 ms 2396 KB Output is correct
12 Correct 8 ms 2428 KB Output is correct
13 Correct 10 ms 2672 KB Output is correct
14 Correct 6 ms 2140 KB Output is correct
15 Correct 10 ms 2672 KB Output is correct
16 Correct 11 ms 2648 KB Output is correct
17 Correct 174 ms 9564 KB Output is correct
18 Correct 213 ms 9820 KB Output is correct
19 Correct 195 ms 9308 KB Output is correct
20 Correct 206 ms 10072 KB Output is correct
21 Correct 202 ms 10268 KB Output is correct
22 Correct 200 ms 10072 KB Output is correct
23 Correct 197 ms 9816 KB Output is correct
24 Correct 164 ms 8792 KB Output is correct
25 Correct 234 ms 10076 KB Output is correct
26 Correct 220 ms 10072 KB Output is correct
27 Correct 211 ms 10072 KB Output is correct
28 Correct 211 ms 10324 KB Output is correct
29 Execution timed out 5065 ms 65852 KB Time limit exceeded
30 Halted 0 ms 0 KB -