oj.uz

Submission #1105033

# Submission time Handle Problem Language Result Execution time Memory
1105033 2024-10-25T08:05:53 Z flashmt Mosaic (IOI24_mosaic) C++17
100 / 100
 193 ms 52668 KB 
#include "mosaic.h"
#include <bits/stdc++.h>
using namespace std;

vector<long long> mosaic(
  vector<int> X, vector<int> Y,
  vector<int> T, vector<int> B,
  vector<int> L, vector<int> R
) {
  int n = size(X);
  vector<vector<int>> a(n);
  a[0] = X;
  for (int i = 1; i < n; i++)
  {
    int len = i < 3 ? n : 3;
    a[i].resize(len);
    a[i][0] = Y[i];
    for (int j = 1; j < len; j++)
      a[i][j] = (a[i - 1][j] | a[i][j - 1]) ^ 1;
  }

  vector<vector<long long>> s(n);
  for (int i = 0; i < n; i++)
  {
    int len = i < 3 ? n : 3;
    s[i].resize(len);
    s[i][0] = a[i][0];
    if (i)
      s[i][0] += s[i - 1][0];
    for (int j = 1; j < len; j++)
    {
      s[i][j] = s[i][j - 1] + a[i][j];
      if (i)
        s[i][j] += s[i - 1][j] - s[i - 1][j - 1];
    }
  }

  vector<long long> sumRow(n), sumCol(n), cntRow(n), cntCol(n);
  for (int i = 2; i < n; i++)
  {
    sumRow[i] = sumRow[i - 1] + (a[2][i] ? i : 0);
    cntRow[i] = cntRow[i - 1] + a[2][i];
    sumCol[i] = sumCol[i - 1] + (a[i][2] ? i : 0);
    cntCol[i] = cntCol[i - 1] + a[i][2];
  }

  auto getColTriangle = [&](int x, int xx)
  {
    return 1LL * xx * (cntCol[xx - 1] - cntCol[x - 2]) - (sumCol[xx - 1] - sumCol[x - 2]);
  };

  auto getRowTriangle = [&](int y, int yy)
  {
    return 1LL * yy * (cntRow[yy - 1] - cntRow[y - 2]) - (sumRow[yy - 1] - sumRow[y - 2]);
  };

  auto get = [&](int x, int y)
  {
    if (x < 0 || y < 0)
      return 0LL;
    if (x < 3 || y < 3)
      return s[x][y];
    long long res = s[2][y] + s[x][2] - s[2][2];
    if (x <= y)
    {
      if (x >= 4)
        res += getColTriangle(4, x);
      res += getRowTriangle(y - (x - 3), y);
      res += (cntRow[y - (x - 1)] - cntRow[1]) * (x - 2);
    }
    else
    {
      if (y >= 4)
        res += getRowTriangle(4, y);
      res += getColTriangle(x - (y - 3), x);
      res += (cntCol[x - (y - 1)] - cntCol[1]) * (y - 2);
    }
    return res;
  };

  int q = size(T);
  vector<long long> ans(q);
  for (int i = 0; i < q; i++)
  {
    ans[i] = get(B[i], R[i]) + get(T[i] - 1, L[i] - 1);
    ans[i] -= get(B[i], L[i] - 1) + get(T[i] - 1, R[i]);
  }
  return ans;
}

Subtask #0
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 588 KB Output is correct
4 Correct 1 ms 436 KB Output is correct
5 Correct 1 ms 504 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 588 KB Output is correct
4 Correct 1 ms 436 KB Output is correct
5 Correct 1 ms 504 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 114 ms 50512 KB Output is correct
2 Correct 112 ms 50504 KB Output is correct
3 Correct 123 ms 49792 KB Output is correct
4 Correct 115 ms 50432 KB Output is correct
5 Correct 81 ms 30792 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 588 KB Output is correct
4 Correct 1 ms 436 KB Output is correct
5 Correct 1 ms 504 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 67 ms 12872 KB Output is correct
19 Correct 65 ms 12616 KB Output is correct
20 Correct 65 ms 12360 KB Output is correct
21 Correct 65 ms 12360 KB Output is correct
22 Correct 64 ms 12372 KB Output is correct
23 Correct 65 ms 11892 KB Output is correct
24 Correct 62 ms 12104 KB Output is correct
25 Correct 69 ms 12104 KB Output is correct

Subtask #5
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 9556 KB Output is correct
2 Correct 155 ms 52296 KB Output is correct
3 Correct 144 ms 51712 KB Output is correct
4 Correct 141 ms 51528 KB Output is correct
5 Correct 128 ms 51984 KB Output is correct
6 Correct 135 ms 52296 KB Output is correct
7 Correct 165 ms 52308 KB Output is correct
8 Correct 157 ms 52220 KB Output is correct
9 Correct 118 ms 31972 KB Output is correct
10 Correct 98 ms 31980 KB Output is correct
11 Correct 100 ms 32104 KB Output is correct

Subtask #6
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 134 ms 52296 KB Output is correct
2 Correct 154 ms 52296 KB Output is correct
3 Correct 117 ms 50700 KB Output is correct
4 Correct 134 ms 50760 KB Output is correct
5 Correct 122 ms 52668 KB Output is correct
6 Correct 104 ms 32504 KB Output is correct
7 Correct 94 ms 23892 KB Output is correct

Subtask #7
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 114 ms 50512 KB Output is correct
2 Correct 112 ms 50504 KB Output is correct
3 Correct 123 ms 49792 KB Output is correct
4 Correct 115 ms 50432 KB Output is correct
5 Correct 81 ms 30792 KB Output is correct
6 Correct 134 ms 52296 KB Output is correct
7 Correct 154 ms 52296 KB Output is correct
8 Correct 117 ms 50700 KB Output is correct
9 Correct 134 ms 50760 KB Output is correct
10 Correct 122 ms 52668 KB Output is correct
11 Correct 104 ms 32504 KB Output is correct
12 Correct 94 ms 23892 KB Output is correct
13 Correct 160 ms 52296 KB Output is correct
14 Correct 163 ms 52408 KB Output is correct
15 Correct 142 ms 52552 KB Output is correct
16 Correct 129 ms 50888 KB Output is correct
17 Correct 144 ms 51852 KB Output is correct
18 Correct 140 ms 52296 KB Output is correct
19 Correct 107 ms 27960 KB Output is correct

Subtask #8
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 588 KB Output is correct
5 Correct 1 ms 436 KB Output is correct
6 Correct 1 ms 504 KB Output is correct
7 Correct 1 ms 336 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 114 ms 50512 KB Output is correct
20 Correct 112 ms 50504 KB Output is correct
21 Correct 123 ms 49792 KB Output is correct
22 Correct 115 ms 50432 KB Output is correct
23 Correct 81 ms 30792 KB Output is correct
24 Correct 67 ms 12872 KB Output is correct
25 Correct 65 ms 12616 KB Output is correct
26 Correct 65 ms 12360 KB Output is correct
27 Correct 65 ms 12360 KB Output is correct
28 Correct 64 ms 12372 KB Output is correct
29 Correct 65 ms 11892 KB Output is correct
30 Correct 62 ms 12104 KB Output is correct
31 Correct 69 ms 12104 KB Output is correct
32 Correct 50 ms 9556 KB Output is correct
33 Correct 155 ms 52296 KB Output is correct
34 Correct 144 ms 51712 KB Output is correct
35 Correct 141 ms 51528 KB Output is correct
36 Correct 128 ms 51984 KB Output is correct
37 Correct 135 ms 52296 KB Output is correct
38 Correct 165 ms 52308 KB Output is correct
39 Correct 157 ms 52220 KB Output is correct
40 Correct 118 ms 31972 KB Output is correct
41 Correct 98 ms 31980 KB Output is correct
42 Correct 100 ms 32104 KB Output is correct
43 Correct 134 ms 52296 KB Output is correct
44 Correct 154 ms 52296 KB Output is correct
45 Correct 117 ms 50700 KB Output is correct
46 Correct 134 ms 50760 KB Output is correct
47 Correct 122 ms 52668 KB Output is correct
48 Correct 104 ms 32504 KB Output is correct
49 Correct 94 ms 23892 KB Output is correct
50 Correct 160 ms 52296 KB Output is correct
51 Correct 163 ms 52408 KB Output is correct
52 Correct 142 ms 52552 KB Output is correct
53 Correct 129 ms 50888 KB Output is correct
54 Correct 144 ms 51852 KB Output is correct
55 Correct 140 ms 52296 KB Output is correct
56 Correct 107 ms 27960 KB Output is correct
57 Correct 168 ms 52296 KB Output is correct
58 Correct 161 ms 52032 KB Output is correct
59 Correct 193 ms 52292 KB Output is correct
60 Correct 166 ms 51784 KB Output is correct
61 Correct 167 ms 51532 KB Output is correct
62 Correct 146 ms 52040 KB Output is correct
63 Correct 115 ms 32336 KB Output is correct
64 Correct 99 ms 22600 KB Output is correct