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Submission #1108095

# Submission time Handle Problem Language Result Execution time Memory
1108095 2024-11-02T18:09:08 Z stdfloat Chessboard (IZhO18_chessboard) C++17
100 / 100
 962 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);
				}
			}

			assert(cnt2 == (ll)n * n - cnt1);
			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 0 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 1 ms 336 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 1436 KB Output is correct
2 Correct 5 ms 760 KB Output is correct
3 Correct 11 ms 848 KB Output is correct
4 Correct 12 ms 1104 KB Output is correct
5 Correct 15 ms 1104 KB Output is correct
6 Correct 10 ms 1020 KB Output is correct
7 Correct 3 ms 336 KB Output is correct
8 Correct 10 ms 1004 KB Output is correct
9 Correct 23 ms 1872 KB Output is correct
10 Correct 14 ms 1276 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 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 1 ms 336 KB Output is correct
9 Correct 1 ms 464 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 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 508 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 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 1 ms 336 KB Output is correct
9 Correct 1 ms 464 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 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 508 KB Output is correct
16 Correct 10 ms 848 KB Output is correct
17 Correct 19 ms 1768 KB Output is correct
18 Correct 32 ms 1872 KB Output is correct
19 Correct 143 ms 1616 KB Output is correct
20 Correct 158 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 23 ms 1104 KB Output is correct
24 Correct 30 ms 1616 KB Output is correct
25 Correct 5 ms 336 KB Output is correct
26 Correct 19 ms 1344 KB Output is correct
27 Correct 38 ms 1508 KB Output is correct
28 Correct 32 ms 2044 KB Output is correct
29 Correct 8 ms 848 KB Output is correct
30 Correct 2 ms 348 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 1436 KB Output is correct
2 Correct 5 ms 760 KB Output is correct
3 Correct 11 ms 848 KB Output is correct
4 Correct 12 ms 1104 KB Output is correct
5 Correct 15 ms 1104 KB Output is correct
6 Correct 10 ms 1020 KB Output is correct
7 Correct 3 ms 336 KB Output is correct
8 Correct 10 ms 1004 KB Output is correct
9 Correct 23 ms 1872 KB Output is correct
10 Correct 14 ms 1276 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 336 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 336 KB Output is correct
19 Correct 1 ms 464 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 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 508 KB Output is correct
26 Correct 10 ms 848 KB Output is correct
27 Correct 19 ms 1768 KB Output is correct
28 Correct 32 ms 1872 KB Output is correct
29 Correct 143 ms 1616 KB Output is correct
30 Correct 158 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 23 ms 1104 KB Output is correct
34 Correct 30 ms 1616 KB Output is correct
35 Correct 5 ms 336 KB Output is correct
36 Correct 19 ms 1344 KB Output is correct
37 Correct 38 ms 1508 KB Output is correct
38 Correct 32 ms 2044 KB Output is correct
39 Correct 8 ms 848 KB Output is correct
40 Correct 2 ms 348 KB Output is correct
41 Correct 131 ms 1864 KB Output is correct
42 Correct 36 ms 1872 KB Output is correct
43 Correct 68 ms 1784 KB Output is correct
44 Correct 34 ms 1872 KB Output is correct
45 Correct 26 ms 1872 KB Output is correct
46 Correct 141 ms 1872 KB Output is correct
47 Correct 24 ms 1616 KB Output is correct
48 Correct 54 ms 1784 KB Output is correct
49 Correct 43 ms 1616 KB Output is correct
50 Correct 649 ms 2040 KB Output is correct
51 Correct 714 ms 1872 KB Output is correct
52 Correct 640 ms 1852 KB Output is correct
53 Correct 689 ms 1944 KB Output is correct
54 Correct 640 ms 1824 KB Output is correct
55 Correct 724 ms 1872 KB Output is correct
56 Correct 630 ms 1788 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 0 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 1 ms 336 KB Output is correct
9 Correct 22 ms 1436 KB Output is correct
10 Correct 5 ms 760 KB Output is correct
11 Correct 11 ms 848 KB Output is correct
12 Correct 12 ms 1104 KB Output is correct
13 Correct 15 ms 1104 KB Output is correct
14 Correct 10 ms 1020 KB Output is correct
15 Correct 3 ms 336 KB Output is correct
16 Correct 10 ms 1004 KB Output is correct
17 Correct 23 ms 1872 KB Output is correct
18 Correct 14 ms 1276 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 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 336 KB Output is correct
27 Correct 1 ms 464 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 336 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 1 ms 508 KB Output is correct
34 Correct 10 ms 848 KB Output is correct
35 Correct 19 ms 1768 KB Output is correct
36 Correct 32 ms 1872 KB Output is correct
37 Correct 143 ms 1616 KB Output is correct
38 Correct 158 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 23 ms 1104 KB Output is correct
42 Correct 30 ms 1616 KB Output is correct
43 Correct 5 ms 336 KB Output is correct
44 Correct 19 ms 1344 KB Output is correct
45 Correct 38 ms 1508 KB Output is correct
46 Correct 32 ms 2044 KB Output is correct
47 Correct 8 ms 848 KB Output is correct
48 Correct 2 ms 348 KB Output is correct
49 Correct 131 ms 1864 KB Output is correct
50 Correct 36 ms 1872 KB Output is correct
51 Correct 68 ms 1784 KB Output is correct
52 Correct 34 ms 1872 KB Output is correct
53 Correct 26 ms 1872 KB Output is correct
54 Correct 141 ms 1872 KB Output is correct
55 Correct 24 ms 1616 KB Output is correct
56 Correct 54 ms 1784 KB Output is correct
57 Correct 43 ms 1616 KB Output is correct
58 Correct 649 ms 2040 KB Output is correct
59 Correct 714 ms 1872 KB Output is correct
60 Correct 640 ms 1852 KB Output is correct
61 Correct 689 ms 1944 KB Output is correct
62 Correct 640 ms 1824 KB Output is correct
63 Correct 724 ms 1872 KB Output is correct
64 Correct 630 ms 1788 KB Output is correct
65 Correct 1 ms 336 KB Output is correct
66 Correct 1 ms 336 KB Output is correct
67 Correct 896 ms 2044 KB Output is correct
68 Correct 850 ms 2040 KB Output is correct
69 Correct 713 ms 1616 KB Output is correct
70 Correct 756 ms 1840 KB Output is correct
71 Correct 797 ms 1824 KB Output is correct
72 Correct 777 ms 1800 KB Output is correct
73 Correct 784 ms 1616 KB Output is correct
74 Correct 888 ms 1872 KB Output is correct
75 Correct 889 ms 1616 KB Output is correct
76 Correct 889 ms 1908 KB Output is correct
77 Correct 132 ms 1872 KB Output is correct
78 Correct 41 ms 1872 KB Output is correct
79 Correct 97 ms 1864 KB Output is correct
80 Correct 99 ms 1616 KB Output is correct
81 Correct 90 ms 1616 KB Output is correct
82 Correct 71 ms 2040 KB Output is correct
83 Correct 55 ms 1616 KB Output is correct
84 Correct 520 ms 1872 KB Output is correct
85 Correct 962 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 942 ms 1872 KB Output is correct
89 Correct 211 ms 840 KB Output is correct
90 Correct 1 ms 336 KB Output is correct