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Submission #503163

# Submission time Handle Problem Language Result Execution time Memory
503163 2022-01-07T12:03:37 Z Pety Chessboard (IZhO18_chessboard) C++14
100 / 100
 340 ms 9548 KB 
#include <bits/stdc++.h>
#pragma GCC target ("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")

#define ll long long
#define ld long double

using namespace std;

const ll MOD = 1e9 + 7;
const ll INF = 1e9;
const int N = 1e5 + 2;

int n, sum[100002], k, lazy[400002], aint[400002], l[400002], r[400002];

struct query {
  int type, l, r;
  bool operator < (const query &other) {
    return type < other.type;
  }
};
vector<query>q[100002];


int main()
{
  ios_base::sync_with_stdio(false);
  cin.tie(0); cout.tie(0);
  cin >> n >> k;
  while (k--) {
    int x1, y1, x2, y2;
    cin >> x1 >> y1 >> x2 >> y2;
    x1--; y1--; x2--; y2--;
    q[x1].push_back({1, y1, y2});
    q[x2 + 1].push_back({0, y1, y2});
  }
  for (int i = 0; i < n; i++)
    sort(q[i].begin(), q[i].end());
  ll sol = 1ll * n * n, div = 0;;
  for (int lat = 1; lat < n; lat++) {
    if (n % lat == 0) {
      div++;
      for (int i = 0; i < n; i++) {
        sum[i] = ((i / lat) & 1) + (i > 0 ? sum[i - 1] : 0);
      }
      ll  lin = sum[n - 1], nr = 0;
      for (int i = 0; i < n; i++) {
        for (auto it : q[i]) {
          if (it.type == 0) {
            lin = lin - (it.r - it.l + 1) + 2 * (sum[it.r] - (it.l > 0 ? sum[it.l - 1] : 0));
          }
          else {
            lin = lin + (it.r - it.l + 1) - 2 * (sum[it.r] - (it.l > 0 ? sum[it.l - 1] : 0));
          }
        }
        if ((i / lat) & 1)
          nr +=  n - lin;
        else
          nr += lin;
      }
      sol = min(sol, min(nr, 1l * n  * n - nr));
    }
  }
  cout << sol;
  return 0;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2672 KB Output is correct
2 Correct 1 ms 2636 KB Output is correct
3 Correct 1 ms 2636 KB Output is correct
4 Correct 1 ms 2636 KB Output is correct
5 Correct 2 ms 2636 KB Output is correct
6 Correct 1 ms 2636 KB Output is correct
7 Correct 1 ms 2636 KB Output is correct
8 Correct 2 ms 2636 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 5744 KB Output is correct
2 Correct 9 ms 3700 KB Output is correct
3 Correct 24 ms 5636 KB Output is correct
4 Correct 18 ms 4800 KB Output is correct
5 Correct 29 ms 5736 KB Output is correct
6 Correct 18 ms 4596 KB Output is correct
7 Correct 5 ms 3268 KB Output is correct
8 Correct 20 ms 5036 KB Output is correct
9 Correct 47 ms 7980 KB Output is correct
10 Correct 26 ms 5932 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2636 KB Output is correct
2 Correct 2 ms 2636 KB Output is correct
3 Correct 2 ms 2636 KB Output is correct
4 Correct 2 ms 2636 KB Output is correct
5 Correct 2 ms 2636 KB Output is correct
6 Correct 2 ms 2672 KB Output is correct
7 Correct 2 ms 2636 KB Output is correct
8 Correct 2 ms 2636 KB Output is correct
9 Correct 2 ms 2636 KB Output is correct
10 Correct 1 ms 2636 KB Output is correct
11 Correct 2 ms 2636 KB Output is correct
12 Correct 2 ms 2636 KB Output is correct
13 Correct 2 ms 2636 KB Output is correct
14 Correct 2 ms 2636 KB Output is correct
15 Correct 2 ms 2636 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2636 KB Output is correct
2 Correct 2 ms 2636 KB Output is correct
3 Correct 2 ms 2636 KB Output is correct
4 Correct 2 ms 2636 KB Output is correct
5 Correct 2 ms 2636 KB Output is correct
6 Correct 2 ms 2672 KB Output is correct
7 Correct 2 ms 2636 KB Output is correct
8 Correct 2 ms 2636 KB Output is correct
9 Correct 2 ms 2636 KB Output is correct
10 Correct 1 ms 2636 KB Output is correct
11 Correct 2 ms 2636 KB Output is correct
12 Correct 2 ms 2636 KB Output is correct
13 Correct 2 ms 2636 KB Output is correct
14 Correct 2 ms 2636 KB Output is correct
15 Correct 2 ms 2636 KB Output is correct
16 Correct 13 ms 4124 KB Output is correct
17 Correct 27 ms 6132 KB Output is correct
18 Correct 32 ms 6160 KB Output is correct
19 Correct 44 ms 6000 KB Output is correct
20 Correct 46 ms 6488 KB Output is correct
21 Correct 27 ms 7304 KB Output is correct
22 Correct 2 ms 2676 KB Output is correct
23 Correct 16 ms 4980 KB Output is correct
24 Correct 31 ms 7364 KB Output is correct
25 Correct 6 ms 3060 KB Output is correct
26 Correct 19 ms 5444 KB Output is correct
27 Correct 24 ms 6212 KB Output is correct
28 Correct 31 ms 7224 KB Output is correct
29 Correct 12 ms 4556 KB Output is correct
30 Correct 3 ms 2808 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 32 ms 5744 KB Output is correct
2 Correct 9 ms 3700 KB Output is correct
3 Correct 24 ms 5636 KB Output is correct
4 Correct 18 ms 4800 KB Output is correct
5 Correct 29 ms 5736 KB Output is correct
6 Correct 18 ms 4596 KB Output is correct
7 Correct 5 ms 3268 KB Output is correct
8 Correct 20 ms 5036 KB Output is correct
9 Correct 47 ms 7980 KB Output is correct
10 Correct 26 ms 5932 KB Output is correct
11 Correct 1 ms 2636 KB Output is correct
12 Correct 2 ms 2636 KB Output is correct
13 Correct 2 ms 2636 KB Output is correct
14 Correct 2 ms 2636 KB Output is correct
15 Correct 2 ms 2636 KB Output is correct
16 Correct 2 ms 2672 KB Output is correct
17 Correct 2 ms 2636 KB Output is correct
18 Correct 2 ms 2636 KB Output is correct
19 Correct 2 ms 2636 KB Output is correct
20 Correct 1 ms 2636 KB Output is correct
21 Correct 2 ms 2636 KB Output is correct
22 Correct 2 ms 2636 KB Output is correct
23 Correct 2 ms 2636 KB Output is correct
24 Correct 2 ms 2636 KB Output is correct
25 Correct 2 ms 2636 KB Output is correct
26 Correct 13 ms 4124 KB Output is correct
27 Correct 27 ms 6132 KB Output is correct
28 Correct 32 ms 6160 KB Output is correct
29 Correct 44 ms 6000 KB Output is correct
30 Correct 46 ms 6488 KB Output is correct
31 Correct 27 ms 7304 KB Output is correct
32 Correct 2 ms 2676 KB Output is correct
33 Correct 16 ms 4980 KB Output is correct
34 Correct 31 ms 7364 KB Output is correct
35 Correct 6 ms 3060 KB Output is correct
36 Correct 19 ms 5444 KB Output is correct
37 Correct 24 ms 6212 KB Output is correct
38 Correct 31 ms 7224 KB Output is correct
39 Correct 12 ms 4556 KB Output is correct
40 Correct 3 ms 2808 KB Output is correct
41 Correct 85 ms 7904 KB Output is correct
42 Correct 53 ms 8260 KB Output is correct
43 Correct 67 ms 7836 KB Output is correct
44 Correct 58 ms 8184 KB Output is correct
45 Correct 52 ms 8464 KB Output is correct
46 Correct 91 ms 8196 KB Output is correct
47 Correct 43 ms 8004 KB Output is correct
48 Correct 63 ms 8112 KB Output is correct
49 Correct 53 ms 7932 KB Output is correct
50 Correct 340 ms 8056 KB Output is correct
51 Correct 309 ms 9344 KB Output is correct
52 Correct 267 ms 8812 KB Output is correct
53 Correct 296 ms 9312 KB Output is correct
54 Correct 282 ms 8660 KB Output is correct
55 Correct 322 ms 9548 KB Output is correct
56 Correct 271 ms 8568 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2672 KB Output is correct
2 Correct 1 ms 2636 KB Output is correct
3 Correct 1 ms 2636 KB Output is correct
4 Correct 1 ms 2636 KB Output is correct
5 Correct 2 ms 2636 KB Output is correct
6 Correct 1 ms 2636 KB Output is correct
7 Correct 1 ms 2636 KB Output is correct
8 Correct 2 ms 2636 KB Output is correct
9 Correct 32 ms 5744 KB Output is correct
10 Correct 9 ms 3700 KB Output is correct
11 Correct 24 ms 5636 KB Output is correct
12 Correct 18 ms 4800 KB Output is correct
13 Correct 29 ms 5736 KB Output is correct
14 Correct 18 ms 4596 KB Output is correct
15 Correct 5 ms 3268 KB Output is correct
16 Correct 20 ms 5036 KB Output is correct
17 Correct 47 ms 7980 KB Output is correct
18 Correct 26 ms 5932 KB Output is correct
19 Correct 1 ms 2636 KB Output is correct
20 Correct 2 ms 2636 KB Output is correct
21 Correct 2 ms 2636 KB Output is correct
22 Correct 2 ms 2636 KB Output is correct
23 Correct 2 ms 2636 KB Output is correct
24 Correct 2 ms 2672 KB Output is correct
25 Correct 2 ms 2636 KB Output is correct
26 Correct 2 ms 2636 KB Output is correct
27 Correct 2 ms 2636 KB Output is correct
28 Correct 1 ms 2636 KB Output is correct
29 Correct 2 ms 2636 KB Output is correct
30 Correct 2 ms 2636 KB Output is correct
31 Correct 2 ms 2636 KB Output is correct
32 Correct 2 ms 2636 KB Output is correct
33 Correct 2 ms 2636 KB Output is correct
34 Correct 13 ms 4124 KB Output is correct
35 Correct 27 ms 6132 KB Output is correct
36 Correct 32 ms 6160 KB Output is correct
37 Correct 44 ms 6000 KB Output is correct
38 Correct 46 ms 6488 KB Output is correct
39 Correct 27 ms 7304 KB Output is correct
40 Correct 2 ms 2676 KB Output is correct
41 Correct 16 ms 4980 KB Output is correct
42 Correct 31 ms 7364 KB Output is correct
43 Correct 6 ms 3060 KB Output is correct
44 Correct 19 ms 5444 KB Output is correct
45 Correct 24 ms 6212 KB Output is correct
46 Correct 31 ms 7224 KB Output is correct
47 Correct 12 ms 4556 KB Output is correct
48 Correct 3 ms 2808 KB Output is correct
49 Correct 85 ms 7904 KB Output is correct
50 Correct 53 ms 8260 KB Output is correct
51 Correct 67 ms 7836 KB Output is correct
52 Correct 58 ms 8184 KB Output is correct
53 Correct 52 ms 8464 KB Output is correct
54 Correct 91 ms 8196 KB Output is correct
55 Correct 43 ms 8004 KB Output is correct
56 Correct 63 ms 8112 KB Output is correct
57 Correct 53 ms 7932 KB Output is correct
58 Correct 340 ms 8056 KB Output is correct
59 Correct 309 ms 9344 KB Output is correct
60 Correct 267 ms 8812 KB Output is correct
61 Correct 296 ms 9312 KB Output is correct
62 Correct 282 ms 8660 KB Output is correct
63 Correct 322 ms 9548 KB Output is correct
64 Correct 271 ms 8568 KB Output is correct
65 Correct 1 ms 2636 KB Output is correct
66 Correct 1 ms 2636 KB Output is correct
67 Correct 336 ms 8688 KB Output is correct
68 Correct 304 ms 8684 KB Output is correct
69 Correct 272 ms 8064 KB Output is correct
70 Correct 257 ms 8392 KB Output is correct
71 Correct 265 ms 8516 KB Output is correct
72 Correct 271 ms 8300 KB Output is correct
73 Correct 295 ms 8160 KB Output is correct
74 Correct 267 ms 8548 KB Output is correct
75 Correct 256 ms 8308 KB Output is correct
76 Correct 298 ms 8772 KB Output is correct
77 Correct 95 ms 9284 KB Output is correct
78 Correct 51 ms 8604 KB Output is correct
79 Correct 65 ms 8344 KB Output is correct
80 Correct 66 ms 8492 KB Output is correct
81 Correct 66 ms 8108 KB Output is correct
82 Correct 61 ms 8816 KB Output is correct
83 Correct 53 ms 8388 KB Output is correct
84 Correct 208 ms 9028 KB Output is correct
85 Correct 275 ms 8904 KB Output is correct
86 Correct 121 ms 2892 KB Output is correct
87 Correct 123 ms 2980 KB Output is correct
88 Correct 287 ms 8984 KB Output is correct
89 Correct 153 ms 4084 KB Output is correct
90 Correct 123 ms 2892 KB Output is correct