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Submission #346934

# Submission time Handle Problem Language Result Execution time Memory
346934 2021-01-11T11:29:44 Z milleniumEeee Chessboard (IZhO18_chessboard) C++17
70 / 100
 269 ms 5868 KB 
#include <bits/stdc++.h>
#define ll long long
using namespace std;

const int MAXN = (int)1e5 + 5;
const ll INF = (ll)1e18;

ll x[3][MAXN];
ll y[3][MAXN];
ll n, k;

ll dup(ll a, ll b) {
  return (a + b - 1ll) / b;
}

ll S(ll x) {
  return x * x;
}

ll sz_of_corner(ll n, ll len) {
  return (S(dup(n / len, 2)) + S((n / len) / 2ll)) * (len * len);
}

ll solve(ll len) {
  if (n == len) {
    return INF;
  }
  ll bad_white[2] = {0, 0};
  ll good_black[2] = {0, 0};
  for (int i = 1; i <= k; i++) {
    assert(x[1][i] == x[2][i] && y[1][i] == y[2][i]);
    int xx = dup(x[1][i], len);
    int yy = dup(y[1][i], len);
    // в правом левом углу черный цвет
    if ((xx + yy) % 2 == 0) { // черный цвет
      good_black[1]++;
    } else { // белый
      bad_white[1]++;
    }
    // в правом левом углу белый цвет
    if ((xx + yy) % 2 == 0) { // белый цвет
      bad_white[0]++;
    } else { // черный
      good_black[0]++;
    }
  }
  return min(bad_white[1] + sz_of_corner(n, len) - good_black[1],
  bad_white[0] + ((S(n) - sz_of_corner(n, len)) - good_black[0]));
}

signed main() {
  ios_base::sync_with_stdio(0); cin.tie(0);
  cin >> n >> k;
  for (int i = 1; i <= k; i++) {
    cin >> x[1][i] >> y[1][i] >> x[2][i] >> y[2][i];
  }
  ll ans = INF;
  for (int i = 1; i * i <= n; i++) {
    if (n % i == 0) {
      ans = min(ans, solve(i));
      ans = min(ans, solve(n / i));
    }
  }
  cout << ans << endl;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 3820 KB Output is correct
2 Correct 7 ms 1260 KB Output is correct
3 Correct 16 ms 2540 KB Output is correct
4 Correct 18 ms 2668 KB Output is correct
5 Correct 23 ms 3436 KB Output is correct
6 Correct 14 ms 2284 KB Output is correct
7 Correct 4 ms 748 KB Output is correct
8 Correct 14 ms 2284 KB Output is correct
9 Correct 38 ms 5228 KB Output is correct
10 Correct 21 ms 3180 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 11 ms 1644 KB Output is correct
17 Correct 30 ms 4460 KB Output is correct
18 Correct 37 ms 5100 KB Output is correct
19 Correct 68 ms 4588 KB Output is correct
20 Correct 77 ms 5100 KB Output is correct
21 Correct 29 ms 4204 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 19 ms 2412 KB Output is correct
24 Correct 34 ms 4588 KB Output is correct
25 Correct 4 ms 748 KB Output is correct
26 Correct 22 ms 3100 KB Output is correct
27 Correct 28 ms 3660 KB Output is correct
28 Correct 35 ms 4844 KB Output is correct
29 Correct 12 ms 1900 KB Output is correct
30 Correct 2 ms 492 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 26 ms 3820 KB Output is correct
2 Correct 7 ms 1260 KB Output is correct
3 Correct 16 ms 2540 KB Output is correct
4 Correct 18 ms 2668 KB Output is correct
5 Correct 23 ms 3436 KB Output is correct
6 Correct 14 ms 2284 KB Output is correct
7 Correct 4 ms 748 KB Output is correct
8 Correct 14 ms 2284 KB Output is correct
9 Correct 38 ms 5228 KB Output is correct
10 Correct 21 ms 3180 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 11 ms 1644 KB Output is correct
27 Correct 30 ms 4460 KB Output is correct
28 Correct 37 ms 5100 KB Output is correct
29 Correct 68 ms 4588 KB Output is correct
30 Correct 77 ms 5100 KB Output is correct
31 Correct 29 ms 4204 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 19 ms 2412 KB Output is correct
34 Correct 34 ms 4588 KB Output is correct
35 Correct 4 ms 748 KB Output is correct
36 Correct 22 ms 3100 KB Output is correct
37 Correct 28 ms 3660 KB Output is correct
38 Correct 35 ms 4844 KB Output is correct
39 Correct 12 ms 1900 KB Output is correct
40 Correct 2 ms 492 KB Output is correct
41 Correct 66 ms 4972 KB Output is correct
42 Correct 40 ms 5612 KB Output is correct
43 Correct 49 ms 4992 KB Output is correct
44 Correct 39 ms 5356 KB Output is correct
45 Correct 39 ms 5740 KB Output is correct
46 Correct 75 ms 5484 KB Output is correct
47 Correct 34 ms 5100 KB Output is correct
48 Correct 45 ms 5228 KB Output is correct
49 Correct 36 ms 4972 KB Output is correct
50 Correct 242 ms 5484 KB Output is correct
51 Correct 257 ms 5868 KB Output is correct
52 Correct 241 ms 5484 KB Output is correct
53 Correct 255 ms 5740 KB Output is correct
54 Correct 234 ms 5228 KB Output is correct
55 Correct 269 ms 5868 KB Output is correct
56 Correct 232 ms 5100 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 26 ms 3820 KB Output is correct
10 Correct 7 ms 1260 KB Output is correct
11 Correct 16 ms 2540 KB Output is correct
12 Correct 18 ms 2668 KB Output is correct
13 Correct 23 ms 3436 KB Output is correct
14 Correct 14 ms 2284 KB Output is correct
15 Correct 4 ms 748 KB Output is correct
16 Correct 14 ms 2284 KB Output is correct
17 Correct 38 ms 5228 KB Output is correct
18 Correct 21 ms 3180 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 11 ms 1644 KB Output is correct
35 Correct 30 ms 4460 KB Output is correct
36 Correct 37 ms 5100 KB Output is correct
37 Correct 68 ms 4588 KB Output is correct
38 Correct 77 ms 5100 KB Output is correct
39 Correct 29 ms 4204 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 19 ms 2412 KB Output is correct
42 Correct 34 ms 4588 KB Output is correct
43 Correct 4 ms 748 KB Output is correct
44 Correct 22 ms 3100 KB Output is correct
45 Correct 28 ms 3660 KB Output is correct
46 Correct 35 ms 4844 KB Output is correct
47 Correct 12 ms 1900 KB Output is correct
48 Correct 2 ms 492 KB Output is correct
49 Correct 66 ms 4972 KB Output is correct
50 Correct 40 ms 5612 KB Output is correct
51 Correct 49 ms 4992 KB Output is correct
52 Correct 39 ms 5356 KB Output is correct
53 Correct 39 ms 5740 KB Output is correct
54 Correct 75 ms 5484 KB Output is correct
55 Correct 34 ms 5100 KB Output is correct
56 Correct 45 ms 5228 KB Output is correct
57 Correct 36 ms 4972 KB Output is correct
58 Correct 242 ms 5484 KB Output is correct
59 Correct 257 ms 5868 KB Output is correct
60 Correct 241 ms 5484 KB Output is correct
61 Correct 255 ms 5740 KB Output is correct
62 Correct 234 ms 5228 KB Output is correct
63 Correct 269 ms 5868 KB Output is correct
64 Correct 232 ms 5100 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Runtime error 2 ms 620 KB Execution killed with signal 6 (could be triggered by violating memory limits)
67 Halted 0 ms 0 KB -