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Submission #1108093

# Submission time Handle Problem Language Result Execution time Memory
1108093 2024-11-02T18:06:05 Z stdfloat Chessboard (IZhO18_chessboard) C++17
100 / 100
 903 ms 2044 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;
			ll cnt2 = (ll)n * n - cnt1;
			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) {
					bool tr = (((x.ff / i) & 1) == ((x.ss / i) & 1));
					int r = max(1, (y.ff - x.ff + 1) / i), c = max(1, (y.ss - x.ss + 1) / i);

					cnt1 -= (ll)((r & 1) && (c & 1) ? (tr ? 1 : -1) : 0) * min(i, y.ff - x.ff + 1) * min(i, y.ss - x.ss + 1);
					cnt2 -= (ll)((r & 1) && (c & 1) ? (tr ? -1 : 1) : 0) * min(i, y.ff - x.ff + 1) * min(i, y.ss - x.ss + 1);
				}
			}

			ans = min({ans, cnt1, cnt2});
		}
	}

	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 0 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 336 KB Output is correct
8 Correct 0 ms 336 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 1360 KB Output is correct
2 Correct 9 ms 592 KB Output is correct
3 Correct 11 ms 848 KB Output is correct
4 Correct 13 ms 1104 KB Output is correct
5 Correct 14 ms 1308 KB Output is correct
6 Correct 11 ms 848 KB Output is correct
7 Correct 3 ms 500 KB Output is correct
8 Correct 11 ms 848 KB Output is correct
9 Correct 23 ms 1868 KB Output is correct
10 Correct 15 ms 1272 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 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 508 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 336 KB Output is correct
8 Correct 1 ms 348 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 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 508 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 336 KB Output is correct
8 Correct 1 ms 348 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 11 ms 848 KB Output is correct
17 Correct 19 ms 1772 KB Output is correct
18 Correct 33 ms 1872 KB Output is correct
19 Correct 152 ms 1616 KB Output is correct
20 Correct 160 ms 1872 KB Output is correct
21 Correct 19 ms 1616 KB Output is correct
22 Correct 1 ms 504 KB Output is correct
23 Correct 24 ms 1120 KB Output is correct
24 Correct 31 ms 1616 KB Output is correct
25 Correct 6 ms 336 KB Output is correct
26 Correct 22 ms 1104 KB Output is correct
27 Correct 31 ms 1360 KB Output is correct
28 Correct 33 ms 1944 KB Output is correct
29 Correct 9 ms 848 KB Output is correct
30 Correct 2 ms 336 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 1360 KB Output is correct
2 Correct 9 ms 592 KB Output is correct
3 Correct 11 ms 848 KB Output is correct
4 Correct 13 ms 1104 KB Output is correct
5 Correct 14 ms 1308 KB Output is correct
6 Correct 11 ms 848 KB Output is correct
7 Correct 3 ms 500 KB Output is correct
8 Correct 11 ms 848 KB Output is correct
9 Correct 23 ms 1868 KB Output is correct
10 Correct 15 ms 1272 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 336 KB Output is correct
14 Correct 1 ms 508 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 348 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 11 ms 848 KB Output is correct
27 Correct 19 ms 1772 KB Output is correct
28 Correct 33 ms 1872 KB Output is correct
29 Correct 152 ms 1616 KB Output is correct
30 Correct 160 ms 1872 KB Output is correct
31 Correct 19 ms 1616 KB Output is correct
32 Correct 1 ms 504 KB Output is correct
33 Correct 24 ms 1120 KB Output is correct
34 Correct 31 ms 1616 KB Output is correct
35 Correct 6 ms 336 KB Output is correct
36 Correct 22 ms 1104 KB Output is correct
37 Correct 31 ms 1360 KB Output is correct
38 Correct 33 ms 1944 KB Output is correct
39 Correct 9 ms 848 KB Output is correct
40 Correct 2 ms 336 KB Output is correct
41 Correct 125 ms 1616 KB Output is correct
42 Correct 34 ms 1872 KB Output is correct
43 Correct 66 ms 1868 KB Output is correct
44 Correct 33 ms 1872 KB Output is correct
45 Correct 34 ms 1872 KB Output is correct
46 Correct 133 ms 1872 KB Output is correct
47 Correct 23 ms 1616 KB Output is correct
48 Correct 50 ms 1616 KB Output is correct
49 Correct 31 ms 1616 KB Output is correct
50 Correct 654 ms 2040 KB Output is correct
51 Correct 693 ms 1872 KB Output is correct
52 Correct 665 ms 1848 KB Output is correct
53 Correct 692 ms 1872 KB Output is correct
54 Correct 643 ms 1836 KB Output is correct
55 Correct 709 ms 1872 KB Output is correct
56 Correct 614 ms 1796 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 0 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 336 KB Output is correct
8 Correct 0 ms 336 KB Output is correct
9 Correct 17 ms 1360 KB Output is correct
10 Correct 9 ms 592 KB Output is correct
11 Correct 11 ms 848 KB Output is correct
12 Correct 13 ms 1104 KB Output is correct
13 Correct 14 ms 1308 KB Output is correct
14 Correct 11 ms 848 KB Output is correct
15 Correct 3 ms 500 KB Output is correct
16 Correct 11 ms 848 KB Output is correct
17 Correct 23 ms 1868 KB Output is correct
18 Correct 15 ms 1272 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 508 KB Output is correct
23 Correct 1 ms 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 348 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 11 ms 848 KB Output is correct
35 Correct 19 ms 1772 KB Output is correct
36 Correct 33 ms 1872 KB Output is correct
37 Correct 152 ms 1616 KB Output is correct
38 Correct 160 ms 1872 KB Output is correct
39 Correct 19 ms 1616 KB Output is correct
40 Correct 1 ms 504 KB Output is correct
41 Correct 24 ms 1120 KB Output is correct
42 Correct 31 ms 1616 KB Output is correct
43 Correct 6 ms 336 KB Output is correct
44 Correct 22 ms 1104 KB Output is correct
45 Correct 31 ms 1360 KB Output is correct
46 Correct 33 ms 1944 KB Output is correct
47 Correct 9 ms 848 KB Output is correct
48 Correct 2 ms 336 KB Output is correct
49 Correct 125 ms 1616 KB Output is correct
50 Correct 34 ms 1872 KB Output is correct
51 Correct 66 ms 1868 KB Output is correct
52 Correct 33 ms 1872 KB Output is correct
53 Correct 34 ms 1872 KB Output is correct
54 Correct 133 ms 1872 KB Output is correct
55 Correct 23 ms 1616 KB Output is correct
56 Correct 50 ms 1616 KB Output is correct
57 Correct 31 ms 1616 KB Output is correct
58 Correct 654 ms 2040 KB Output is correct
59 Correct 693 ms 1872 KB Output is correct
60 Correct 665 ms 1848 KB Output is correct
61 Correct 692 ms 1872 KB Output is correct
62 Correct 643 ms 1836 KB Output is correct
63 Correct 709 ms 1872 KB Output is correct
64 Correct 614 ms 1796 KB Output is correct
65 Correct 1 ms 336 KB Output is correct
66 Correct 1 ms 336 KB Output is correct
67 Correct 854 ms 2044 KB Output is correct
68 Correct 842 ms 1896 KB Output is correct
69 Correct 715 ms 1616 KB Output is correct
70 Correct 759 ms 1844 KB Output is correct
71 Correct 772 ms 1616 KB Output is correct
72 Correct 770 ms 1792 KB Output is correct
73 Correct 764 ms 1616 KB Output is correct
74 Correct 873 ms 1872 KB Output is correct
75 Correct 793 ms 1808 KB Output is correct
76 Correct 865 ms 1904 KB Output is correct
77 Correct 127 ms 1872 KB Output is correct
78 Correct 39 ms 1872 KB Output is correct
79 Correct 93 ms 1616 KB Output is correct
80 Correct 90 ms 1616 KB Output is correct
81 Correct 87 ms 1616 KB Output is correct
82 Correct 69 ms 1872 KB Output is correct
83 Correct 56 ms 1616 KB Output is correct
84 Correct 497 ms 1872 KB Output is correct
85 Correct 903 ms 1872 KB Output is correct
86 Correct 2 ms 348 KB Output is correct
87 Correct 1 ms 336 KB Output is correct
88 Correct 886 ms 1872 KB Output is correct
89 Correct 189 ms 592 KB Output is correct
90 Correct 1 ms 336 KB Output is correct