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Submission #895802

# Submission time Handle Problem Language Result Execution time Memory
895802 2023-12-30T21:14:39 Z MilosMilutinovic Chessboard (IZhO18_chessboard) C++14
100 / 100
 1238 ms 4432 KB 
#include <bits/stdc++.h>

using namespace std;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, m;
  cin >> n >> m;
  vector<int> x1(m), y1(m), x2(m), y2(m);
  for (int i = 0; i < m; i++) {
    cin >> x1[i] >> y1[i] >> x2[i] >> y2[i];
    --x1[i]; --y1[i]; --x2[i]; --y2[i];
  }
  long long ans = 1e18;
  for (int foo = 0; foo < 2; foo++) {
    for (int k = 1; k < n; k++) {
      if (n % k != 0) {
        continue;
      }
      long long res = 0, area = 0;
      function<long long(int, int, int, int)> Solve = [&](int x1, int y1, int x2, int y2) {
        if (x1 > x2 || y1 > y2) {
          return 0LL;
        }
        if ((x1 / k) == (x2 / k) && (y1 / k) == (y2 / k)) {
          if (foo == (x1 / k + y1 / k) % 2) {
            return 0LL;
          } else {
            return (x2 - x1 + 1) * 1LL * (y2 - y1 + 1);
          }
        }
        if ((x1 / k) == (x2 / k)) {
          long long ret = 0;
          if (y1 % k != 0) {
            ret += Solve(x1, y1, x2, y1 + (k - y1 % k) - 1);
            y1 += (k - y1 % k);
          }
          if (y2 % k != k - 1) {
            ret += Solve(x1, y2 - y2 % k, x2, y2);
            y2 -= (y2 % k) + 1;
          }
          long long blocks = (y2 - y1 + 1) / k;
          if ((x1 / k + y1 / k) % 2 == foo) {
            blocks = blocks / 2;
          } else {
            blocks = (blocks + 1) / 2;
          }
          return ret + blocks * k * (x2 - x1 + 1);
        }
        if ((y1 / k) == (y2 / k)) {
          long long ret = 0;
          if (x1 % k != 0) {
            ret += Solve(x1, y1, x1 + (k - x1 % k) - 1, y2);
            x1 += (k - x1 % k);
          }
          if (x2 % k != k - 1) {
            ret += Solve(x2 - x2 % k, y1, x2, y2);
            x2  -= (x2 % k) + 1;
          }
          long long blocks = (x2 - x1 + 1) / k;
          if ((x1 / k + y1 / k) % 2 == foo) {
            blocks = blocks / 2;
          } else {
            blocks = (blocks + 1) / 2;
          }
          return ret + blocks * k * (y2 - y1 + 1);
        }
        long long ret = 0;
        if (x1 % k != 0) {
          ret += Solve(x1, y1, x1 + (k - x1 % k) - 1, y2);
          x1 += (k - x1 % k);
        }
        if (x2 % k != k - 1) {
          ret += Solve(x2 - x2 % k, y1, x2, y2);
          x2 -= (x2 % k) + 1;
        }
        if (y1 % k != 0) {
          ret += Solve(x1, y1, x2, y1 + (k - y1 % k) - 1);
          y1 += (k - y1 % k);
        }
        if (y2 % k != k - 1) {
          ret += Solve(x1, y2 - (y2 % k), x2, y2);
          y2 -= (y2 % k) + 1;
        }
        long long blocks_x = (x2 - x1 + 1) / k;
        long long blocks_y = (y2 - y1 + 1) / k;
        if ((x1 / k + y1 / k) % 2 == foo) {
          return ret + ((blocks_y + 1) / 2) * (blocks_x / 2) * k * k + (blocks_y / 2) * ((blocks_x + 1) / 2) * k * k;
        } else {
          return ret + ((blocks_y + 1) / 2) * ((blocks_x + 1) / 2) * k * k + (blocks_y / 2) * (blocks_x / 2) * k * k;
        }
      };
      for (int i = 0; i < m; i++) {
        res += Solve(x1[i], y1[i], x2[i], y2[i]);
        area += (x2[i] - x1[i] + 1) * 1LL * (y2[i] - y1[i] + 1);
      }
      long long black = 0;
      long long v = n / k;
      if (foo == 0) {
        black = ((v + 1) / 2) * ((v + 1) / 2) * k * k + (v / 2) * (v / 2) * k * k;
      } else {
        black = ((v + 1) / 2) * (v / 2) * k * k + (v / 2) * ((v + 1) / 2) * k * k;
      }
      ans = min(ans, res + black - (area - res));
    }
  } 
  cout << ans << '\n';
  return 0;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 1372 KB Output is correct
2 Correct 5 ms 604 KB Output is correct
3 Correct 13 ms 1092 KB Output is correct
4 Correct 13 ms 1112 KB Output is correct
5 Correct 17 ms 1328 KB Output is correct
6 Correct 11 ms 860 KB Output is correct
7 Correct 3 ms 348 KB Output is correct
8 Correct 11 ms 860 KB Output is correct
9 Correct 27 ms 1888 KB Output is correct
10 Correct 15 ms 1116 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 504 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 504 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 10 ms 856 KB Output is correct
17 Correct 21 ms 1628 KB Output is correct
18 Correct 34 ms 2036 KB Output is correct
19 Correct 140 ms 1840 KB Output is correct
20 Correct 154 ms 2000 KB Output is correct
21 Correct 20 ms 1628 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 24 ms 1140 KB Output is correct
24 Correct 40 ms 1852 KB Output is correct
25 Correct 5 ms 348 KB Output is correct
26 Correct 20 ms 1116 KB Output is correct
27 Correct 31 ms 1372 KB Output is correct
28 Correct 33 ms 1884 KB Output is correct
29 Correct 9 ms 860 KB Output is correct
30 Correct 1 ms 348 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 1372 KB Output is correct
2 Correct 5 ms 604 KB Output is correct
3 Correct 13 ms 1092 KB Output is correct
4 Correct 13 ms 1112 KB Output is correct
5 Correct 17 ms 1328 KB Output is correct
6 Correct 11 ms 860 KB Output is correct
7 Correct 3 ms 348 KB Output is correct
8 Correct 11 ms 860 KB Output is correct
9 Correct 27 ms 1888 KB Output is correct
10 Correct 15 ms 1116 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 504 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 1 ms 344 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 10 ms 856 KB Output is correct
27 Correct 21 ms 1628 KB Output is correct
28 Correct 34 ms 2036 KB Output is correct
29 Correct 140 ms 1840 KB Output is correct
30 Correct 154 ms 2000 KB Output is correct
31 Correct 20 ms 1628 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 24 ms 1140 KB Output is correct
34 Correct 40 ms 1852 KB Output is correct
35 Correct 5 ms 348 KB Output is correct
36 Correct 20 ms 1116 KB Output is correct
37 Correct 31 ms 1372 KB Output is correct
38 Correct 33 ms 1884 KB Output is correct
39 Correct 9 ms 860 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 125 ms 1628 KB Output is correct
42 Correct 38 ms 1880 KB Output is correct
43 Correct 70 ms 1628 KB Output is correct
44 Correct 37 ms 1884 KB Output is correct
45 Correct 29 ms 1880 KB Output is correct
46 Correct 139 ms 1884 KB Output is correct
47 Correct 26 ms 1628 KB Output is correct
48 Correct 55 ms 1628 KB Output is correct
49 Correct 34 ms 1624 KB Output is correct
50 Correct 636 ms 2136 KB Output is correct
51 Correct 684 ms 1964 KB Output is correct
52 Correct 643 ms 1852 KB Output is correct
53 Correct 675 ms 1956 KB Output is correct
54 Correct 625 ms 1840 KB Output is correct
55 Correct 702 ms 1884 KB Output is correct
56 Correct 608 ms 1812 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 20 ms 1372 KB Output is correct
10 Correct 5 ms 604 KB Output is correct
11 Correct 13 ms 1092 KB Output is correct
12 Correct 13 ms 1112 KB Output is correct
13 Correct 17 ms 1328 KB Output is correct
14 Correct 11 ms 860 KB Output is correct
15 Correct 3 ms 348 KB Output is correct
16 Correct 11 ms 860 KB Output is correct
17 Correct 27 ms 1888 KB Output is correct
18 Correct 15 ms 1116 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 504 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 344 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 10 ms 856 KB Output is correct
35 Correct 21 ms 1628 KB Output is correct
36 Correct 34 ms 2036 KB Output is correct
37 Correct 140 ms 1840 KB Output is correct
38 Correct 154 ms 2000 KB Output is correct
39 Correct 20 ms 1628 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 24 ms 1140 KB Output is correct
42 Correct 40 ms 1852 KB Output is correct
43 Correct 5 ms 348 KB Output is correct
44 Correct 20 ms 1116 KB Output is correct
45 Correct 31 ms 1372 KB Output is correct
46 Correct 33 ms 1884 KB Output is correct
47 Correct 9 ms 860 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 125 ms 1628 KB Output is correct
50 Correct 38 ms 1880 KB Output is correct
51 Correct 70 ms 1628 KB Output is correct
52 Correct 37 ms 1884 KB Output is correct
53 Correct 29 ms 1880 KB Output is correct
54 Correct 139 ms 1884 KB Output is correct
55 Correct 26 ms 1628 KB Output is correct
56 Correct 55 ms 1628 KB Output is correct
57 Correct 34 ms 1624 KB Output is correct
58 Correct 636 ms 2136 KB Output is correct
59 Correct 684 ms 1964 KB Output is correct
60 Correct 643 ms 1852 KB Output is correct
61 Correct 675 ms 1956 KB Output is correct
62 Correct 625 ms 1840 KB Output is correct
63 Correct 702 ms 1884 KB Output is correct
64 Correct 608 ms 1812 KB Output is correct
65 Correct 1 ms 600 KB Output is correct
66 Correct 0 ms 344 KB Output is correct
67 Correct 1202 ms 2132 KB Output is correct
68 Correct 1201 ms 1896 KB Output is correct
69 Correct 1012 ms 1708 KB Output is correct
70 Correct 1000 ms 1880 KB Output is correct
71 Correct 1079 ms 4016 KB Output is correct
72 Correct 1047 ms 3912 KB Output is correct
73 Correct 1112 ms 3804 KB Output is correct
74 Correct 1189 ms 4088 KB Output is correct
75 Correct 1102 ms 3952 KB Output is correct
76 Correct 1200 ms 4180 KB Output is correct
77 Correct 187 ms 4360 KB Output is correct
78 Correct 50 ms 3940 KB Output is correct
79 Correct 126 ms 3788 KB Output is correct
80 Correct 131 ms 3920 KB Output is correct
81 Correct 135 ms 3668 KB Output is correct
82 Correct 97 ms 3932 KB Output is correct
83 Correct 85 ms 3960 KB Output is correct
84 Correct 719 ms 4272 KB Output is correct
85 Correct 1232 ms 4432 KB Output is correct
86 Correct 4 ms 348 KB Output is correct
87 Correct 1 ms 348 KB Output is correct
88 Correct 1238 ms 4412 KB Output is correct
89 Correct 280 ms 1116 KB Output is correct
90 Correct 1 ms 344 KB Output is correct