oj.uz

Submission #1108099

# Submission time Handle Problem Language Result Execution time Memory
1108099 2024-11-02T18:16:32 Z stdfloat Chessboard (IZhO18_chessboard) C++17
100 / 100
 845 ms 2040 KB 
#include <bits/stdc++.h>
using namespace std;

using ll = long long;

#define ff	first
#define ss	second
#define pii	pair<int, int>

int main() {
	ios::sync_with_stdio(false); cin.tie(nullptr);

	int n, k;
	cin >> n >> k;

	pii p1[k], p2[k];
	for (int i = 0; i < k; i++) {
		cin >> p1[i].ff >> p1[i].ss >> p2[i].ff >> p2[i].ss;
		p1[i].ff--; p1[i].ss--; p2[i].ff--; p2[i].ss--;
	}

	ll ans = LLONG_MAX;
	for (int ii = 1; ii * ii <= n; ii++) {
		if (n % ii) continue;

		for (auto i : {ii, n / ii}) {
			if (i == n) continue;

			int x = n / i;
			ll cnt1 = ((ll)((x + 1) >> 1) * ((x + 1) >> 1) + (ll)(x >> 1) * (x >> 1)) * i * i;
			for (int j = 0; j < k; j++) {
				pii x = p1[j], y = p2[j];

				vector<pair<pii, pii>> v;
				if (x.ss / i != y.ss / i) {
					if (x.ss % i) {
						v.push_back({x, {y.ff, x.ss + i - x.ss % i - 1}}); x.ss += i - x.ss % i;
					}
					if ((y.ss + 1) % i) {
						v.push_back({{x.ff, y.ss - y.ss % i}, y}); y.ss -= y.ss % i + 1;
					}
				}
				if (x.ss <= y.ss) v.push_back({x, y});

				vector<pair<pii, pii>> u;
				for (auto [x, y] : v) {
					if (x.ff / i != y.ff / i) {
						if (x.ff % i) {
							u.push_back({x, {x.ff + i - x.ff % i - 1, y.ss}}); x.ff += i - x.ff % i;
						}
						if ((y.ff + 1) % i) {
							u.push_back({{y.ff - y.ff % i, x.ss}, y}); y.ff -= y.ff % i + 1;
						}
					}

					if (x.ff <= y.ff) u.push_back({x, y});
				}

				for (auto [x, y] : u)
					if ((max(1, (y.ff - x.ff + 1) / i) & 1) && (max(1, (y.ss - x.ss + 1) / i) & 1)) cnt1 -= (ll)(((x.ff / i) & 1) == ((x.ss / i) & 1) ? 1 : -1) * min(i, y.ff - x.ff + 1) * min(i, y.ss - x.ss + 1);
			}

			ans = min({ans, cnt1, (ll)n * n - cnt1});
		}
	}

	cout << ans;
}

Subtask #1
8.0 / 8.0

# 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 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 508 KB Output is correct
8 Correct 1 ms 336 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 1360 KB Output is correct
2 Correct 4 ms 592 KB Output is correct
3 Correct 10 ms 848 KB Output is correct
4 Correct 11 ms 1104 KB Output is correct
5 Correct 14 ms 1104 KB Output is correct
6 Correct 9 ms 848 KB Output is correct
7 Correct 2 ms 336 KB Output is correct
8 Correct 9 ms 848 KB Output is correct
9 Correct 22 ms 1868 KB Output is correct
10 Correct 13 ms 1104 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 504 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 504 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 504 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB Output is correct
2 Correct 1 ms 504 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 504 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 504 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 10 ms 848 KB Output is correct
17 Correct 20 ms 1616 KB Output is correct
18 Correct 32 ms 2040 KB Output is correct
19 Correct 129 ms 1616 KB Output is correct
20 Correct 147 ms 1872 KB Output is correct
21 Correct 18 ms 1616 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 22 ms 1120 KB Output is correct
24 Correct 33 ms 1616 KB Output is correct
25 Correct 5 ms 336 KB Output is correct
26 Correct 19 ms 1280 KB Output is correct
27 Correct 29 ms 1360 KB Output is correct
28 Correct 31 ms 1872 KB Output is correct
29 Correct 13 ms 848 KB Output is correct
30 Correct 1 ms 508 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 1360 KB Output is correct
2 Correct 4 ms 592 KB Output is correct
3 Correct 10 ms 848 KB Output is correct
4 Correct 11 ms 1104 KB Output is correct
5 Correct 14 ms 1104 KB Output is correct
6 Correct 9 ms 848 KB Output is correct
7 Correct 2 ms 336 KB Output is correct
8 Correct 9 ms 848 KB Output is correct
9 Correct 22 ms 1868 KB Output is correct
10 Correct 13 ms 1104 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 504 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 504 KB Output is correct
16 Correct 1 ms 504 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 336 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 504 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 10 ms 848 KB Output is correct
27 Correct 20 ms 1616 KB Output is correct
28 Correct 32 ms 2040 KB Output is correct
29 Correct 129 ms 1616 KB Output is correct
30 Correct 147 ms 1872 KB Output is correct
31 Correct 18 ms 1616 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 22 ms 1120 KB Output is correct
34 Correct 33 ms 1616 KB Output is correct
35 Correct 5 ms 336 KB Output is correct
36 Correct 19 ms 1280 KB Output is correct
37 Correct 29 ms 1360 KB Output is correct
38 Correct 31 ms 1872 KB Output is correct
39 Correct 13 ms 848 KB Output is correct
40 Correct 1 ms 508 KB Output is correct
41 Correct 117 ms 1616 KB Output is correct
42 Correct 34 ms 1872 KB Output is correct
43 Correct 64 ms 1616 KB Output is correct
44 Correct 34 ms 1872 KB Output is correct
45 Correct 24 ms 1872 KB Output is correct
46 Correct 123 ms 1872 KB Output is correct
47 Correct 24 ms 1616 KB Output is correct
48 Correct 46 ms 1616 KB Output is correct
49 Correct 29 ms 1764 KB Output is correct
50 Correct 607 ms 1872 KB Output is correct
51 Correct 629 ms 1952 KB Output is correct
52 Correct 577 ms 1848 KB Output is correct
53 Correct 607 ms 1872 KB Output is correct
54 Correct 578 ms 1864 KB Output is correct
55 Correct 634 ms 1996 KB Output is correct
56 Correct 533 ms 1616 KB Output is correct

Subtask #6
30.0 / 30.0

# 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 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 1 ms 508 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 16 ms 1360 KB Output is correct
10 Correct 4 ms 592 KB Output is correct
11 Correct 10 ms 848 KB Output is correct
12 Correct 11 ms 1104 KB Output is correct
13 Correct 14 ms 1104 KB Output is correct
14 Correct 9 ms 848 KB Output is correct
15 Correct 2 ms 336 KB Output is correct
16 Correct 9 ms 848 KB Output is correct
17 Correct 22 ms 1868 KB Output is correct
18 Correct 13 ms 1104 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 ms 504 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 504 KB Output is correct
24 Correct 1 ms 504 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 1 ms 336 KB Output is correct
31 Correct 1 ms 504 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 10 ms 848 KB Output is correct
35 Correct 20 ms 1616 KB Output is correct
36 Correct 32 ms 2040 KB Output is correct
37 Correct 129 ms 1616 KB Output is correct
38 Correct 147 ms 1872 KB Output is correct
39 Correct 18 ms 1616 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 22 ms 1120 KB Output is correct
42 Correct 33 ms 1616 KB Output is correct
43 Correct 5 ms 336 KB Output is correct
44 Correct 19 ms 1280 KB Output is correct
45 Correct 29 ms 1360 KB Output is correct
46 Correct 31 ms 1872 KB Output is correct
47 Correct 13 ms 848 KB Output is correct
48 Correct 1 ms 508 KB Output is correct
49 Correct 117 ms 1616 KB Output is correct
50 Correct 34 ms 1872 KB Output is correct
51 Correct 64 ms 1616 KB Output is correct
52 Correct 34 ms 1872 KB Output is correct
53 Correct 24 ms 1872 KB Output is correct
54 Correct 123 ms 1872 KB Output is correct
55 Correct 24 ms 1616 KB Output is correct
56 Correct 46 ms 1616 KB Output is correct
57 Correct 29 ms 1764 KB Output is correct
58 Correct 607 ms 1872 KB Output is correct
59 Correct 629 ms 1952 KB Output is correct
60 Correct 577 ms 1848 KB Output is correct
61 Correct 607 ms 1872 KB Output is correct
62 Correct 578 ms 1864 KB Output is correct
63 Correct 634 ms 1996 KB Output is correct
64 Correct 533 ms 1616 KB Output is correct
65 Correct 1 ms 336 KB Output is correct
66 Correct 1 ms 336 KB Output is correct
67 Correct 796 ms 1872 KB Output is correct
68 Correct 747 ms 1900 KB Output is correct
69 Correct 652 ms 1616 KB Output is correct
70 Correct 717 ms 1616 KB Output is correct
71 Correct 735 ms 1824 KB Output is correct
72 Correct 669 ms 1800 KB Output is correct
73 Correct 700 ms 1616 KB Output is correct
74 Correct 754 ms 1872 KB Output is correct
75 Correct 781 ms 1808 KB Output is correct
76 Correct 815 ms 1912 KB Output is correct
77 Correct 119 ms 1872 KB Output is correct
78 Correct 36 ms 1872 KB Output is correct
79 Correct 80 ms 1616 KB Output is correct
80 Correct 86 ms 1616 KB Output is correct
81 Correct 94 ms 1616 KB Output is correct
82 Correct 67 ms 1872 KB Output is correct
83 Correct 55 ms 1616 KB Output is correct
84 Correct 476 ms 1948 KB Output is correct
85 Correct 845 ms 1872 KB Output is correct
86 Correct 2 ms 336 KB Output is correct
87 Correct 1 ms 336 KB Output is correct
88 Correct 804 ms 1872 KB Output is correct
89 Correct 170 ms 592 KB Output is correct
90 Correct 1 ms 336 KB Output is correct