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Submission #677776

# Submission time Handle Problem Language Result Execution time Memory
677776 2023-01-04T11:03:13 Z vjudge1 Chessboard (IZhO18_chessboard) C++17
47 / 100
 2000 ms 4200 KB 
#include <bits/stdc++.h>
using namespace std;
#define x1 x1_
#define x2 x2_
#define y1 y1_
#define y2 y2_

const int N = 1e5 + 5;
const int BLACK_FIRST = 0;
const int WHITE_FIRST = 1;

// color of a ceil will be determined by (id row + id col) % 2 and the color of first block (BLACK_FIRST / WHITE_FIRST)
// in particular: (id row + id col) % 2 = BLACK_FIRST --> black id, otherwise ...
// id row = row div edge

int n, k;
int x[2][N], y[2][N];

void read() {
  cin >> n >> k;
  for (int i = 1; i <= k; i++) {
    for (int j = 0; j < 2; j++) {
      cin >> x[j][i] >> y[j][i];
      --x[j][i];
      --y[j][i];
    }
  }
}

int id_block (int x, int edge) {
  return x / edge;
}

// (0...x1) / k % 2 == type
int num_ceil (int x, int k, int type) {
  if (x < 0) {
    return 0;
  }
  if (x == 0) {
    return (x / k) % 2 == type;
  }
  int block_x = id_block(x, k);
  int ans = 0;

  if (block_x > 0) {
    // [0, block_x - 1]
    if (type == 0) {
      ans += (block_x - block_x / 2) * k;
    }
    else {
      ans += (block_x / 2) * k;
    }
  }

  // just in block_x
  int lo = block_x * k;
  int hi = x;

  if (block_x % 2 == type) {
    ans += (hi - lo + 1);
  }

  return ans;
}

int num_ceil (int l, int r, int k, int type) {
  assert(num_ceil(r, k, type) >= num_ceil(l - 1, k, type));
  return num_ceil(r, k, type) - num_ceil(l - 1, k, type);
}

int64_t solve (int edge, int type) {
  int64_t ans = 0;

  // (r + c) % 2 == type
  for (int row_type = 0; row_type < 2; row_type++) {
    int col_type = (type - row_type + 2) % 2;
    ans += 1ll * num_ceil(0, n - 1, edge, row_type) * num_ceil(0, n - 1, edge, col_type);
  }

  for (int i = 1; i <= k; i++) {
    for (int row_type = 0; row_type < 2; row_type++) {
      for (int col_type = 0; col_type < 2; col_type++) {
        // already black
        // since we colored it before --> subtract
        if ((row_type + col_type) % 2 == type) {
          ans -= 1ll * num_ceil(x[0][i], x[1][i], edge, row_type) * num_ceil(y[0][i], y[1][i], edge, col_type);
        }
        // must be white, but now it's black
        else {
          ans += 1ll * num_ceil(x[0][i], x[1][i], edge, row_type) * num_ceil(y[0][i], y[1][i], edge, col_type);
        }
      }
    }
  }

  return ans;
}

void solve() {
  int64_t best = 9e18;
  for (int edge = 1; edge < n; edge++) {
    if (n % edge) {
      continue;
    }
    best = min(best, solve(edge, BLACK_FIRST));
    best = min(best, solve(edge, WHITE_FIRST));
  }
  cout << best;
}

int32_t main() {
  ios_base::sync_with_stdio(0);
  cin.tie(0); cout.tie(0);

  read();
  solve();

  return 0;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 328 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 36 ms 2780 KB Output is correct
2 Correct 10 ms 884 KB Output is correct
3 Correct 23 ms 1876 KB Output is correct
4 Correct 22 ms 1900 KB Output is correct
5 Correct 28 ms 2464 KB Output is correct
6 Correct 18 ms 1684 KB Output is correct
7 Correct 5 ms 596 KB Output is correct
8 Correct 18 ms 1620 KB Output is correct
9 Correct 51 ms 3812 KB Output is correct
10 Correct 27 ms 2260 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 2 ms 336 KB Output is correct
15 Correct 2 ms 340 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 2 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 2 ms 340 KB Output is correct
14 Correct 2 ms 336 KB Output is correct
15 Correct 2 ms 340 KB Output is correct
16 Correct 25 ms 1192 KB Output is correct
17 Correct 38 ms 2940 KB Output is correct
18 Correct 79 ms 3340 KB Output is correct
19 Correct 415 ms 3124 KB Output is correct
20 Correct 476 ms 3452 KB Output is correct
21 Correct 34 ms 2896 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 62 ms 1620 KB Output is correct
24 Correct 69 ms 3084 KB Output is correct
25 Correct 12 ms 596 KB Output is correct
26 Correct 44 ms 2128 KB Output is correct
27 Correct 75 ms 2476 KB Output is correct
28 Correct 76 ms 3284 KB Output is correct
29 Correct 19 ms 1368 KB Output is correct
30 Correct 3 ms 468 KB Output is correct

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 36 ms 2780 KB Output is correct
2 Correct 10 ms 884 KB Output is correct
3 Correct 23 ms 1876 KB Output is correct
4 Correct 22 ms 1900 KB Output is correct
5 Correct 28 ms 2464 KB Output is correct
6 Correct 18 ms 1684 KB Output is correct
7 Correct 5 ms 596 KB Output is correct
8 Correct 18 ms 1620 KB Output is correct
9 Correct 51 ms 3812 KB Output is correct
10 Correct 27 ms 2260 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 2 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 2 ms 340 KB Output is correct
24 Correct 2 ms 336 KB Output is correct
25 Correct 2 ms 340 KB Output is correct
26 Correct 25 ms 1192 KB Output is correct
27 Correct 38 ms 2940 KB Output is correct
28 Correct 79 ms 3340 KB Output is correct
29 Correct 415 ms 3124 KB Output is correct
30 Correct 476 ms 3452 KB Output is correct
31 Correct 34 ms 2896 KB Output is correct
32 Correct 2 ms 340 KB Output is correct
33 Correct 62 ms 1620 KB Output is correct
34 Correct 69 ms 3084 KB Output is correct
35 Correct 12 ms 596 KB Output is correct
36 Correct 44 ms 2128 KB Output is correct
37 Correct 75 ms 2476 KB Output is correct
38 Correct 76 ms 3284 KB Output is correct
39 Correct 19 ms 1368 KB Output is correct
40 Correct 3 ms 468 KB Output is correct
41 Correct 384 ms 3604 KB Output is correct
42 Correct 89 ms 4048 KB Output is correct
43 Correct 200 ms 3660 KB Output is correct
44 Correct 79 ms 3916 KB Output is correct
45 Correct 50 ms 4200 KB Output is correct
46 Correct 435 ms 4044 KB Output is correct
47 Correct 44 ms 3820 KB Output is correct
48 Correct 138 ms 3668 KB Output is correct
49 Correct 73 ms 3656 KB Output is correct
50 Execution timed out 2056 ms 3788 KB Time limit exceeded
51 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 328 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 36 ms 2780 KB Output is correct
10 Correct 10 ms 884 KB Output is correct
11 Correct 23 ms 1876 KB Output is correct
12 Correct 22 ms 1900 KB Output is correct
13 Correct 28 ms 2464 KB Output is correct
14 Correct 18 ms 1684 KB Output is correct
15 Correct 5 ms 596 KB Output is correct
16 Correct 18 ms 1620 KB Output is correct
17 Correct 51 ms 3812 KB Output is correct
18 Correct 27 ms 2260 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 2 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 332 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 332 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 1 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 2 ms 340 KB Output is correct
32 Correct 2 ms 336 KB Output is correct
33 Correct 2 ms 340 KB Output is correct
34 Correct 25 ms 1192 KB Output is correct
35 Correct 38 ms 2940 KB Output is correct
36 Correct 79 ms 3340 KB Output is correct
37 Correct 415 ms 3124 KB Output is correct
38 Correct 476 ms 3452 KB Output is correct
39 Correct 34 ms 2896 KB Output is correct
40 Correct 2 ms 340 KB Output is correct
41 Correct 62 ms 1620 KB Output is correct
42 Correct 69 ms 3084 KB Output is correct
43 Correct 12 ms 596 KB Output is correct
44 Correct 44 ms 2128 KB Output is correct
45 Correct 75 ms 2476 KB Output is correct
46 Correct 76 ms 3284 KB Output is correct
47 Correct 19 ms 1368 KB Output is correct
48 Correct 3 ms 468 KB Output is correct
49 Correct 384 ms 3604 KB Output is correct
50 Correct 89 ms 4048 KB Output is correct
51 Correct 200 ms 3660 KB Output is correct
52 Correct 79 ms 3916 KB Output is correct
53 Correct 50 ms 4200 KB Output is correct
54 Correct 435 ms 4044 KB Output is correct
55 Correct 44 ms 3820 KB Output is correct
56 Correct 138 ms 3668 KB Output is correct
57 Correct 73 ms 3656 KB Output is correct
58 Execution timed out 2056 ms 3788 KB Time limit exceeded
59 Halted 0 ms 0 KB -