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Submission #1108091

# Submission time Handle Problem Language Result Execution time Memory
1108091 2024-11-02T18:05:20 Z stdfloat Chessboard (IZhO18_chessboard) C++17
100 / 100
 946 ms 3468 KB 
#include <bits/stdc++.h>
using namespace std;

using ll = long long;

#define int long long

#define ff	first

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

int32_t 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(1LL, (y.ff - x.ff + 1) / i), c = max(1LL, (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 0 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 2416 KB Output is correct
2 Correct 8 ms 848 KB Output is correct
3 Correct 11 ms 1616 KB Output is correct
4 Correct 12 ms 1872 KB Output is correct
5 Correct 15 ms 2128 KB Output is correct
6 Correct 10 ms 1360 KB Output is correct
7 Correct 3 ms 592 KB Output is correct
8 Correct 10 ms 1532 KB Output is correct
9 Correct 26 ms 3152 KB Output is correct
10 Correct 16 ms 1872 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 340 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 432 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 504 KB Output is correct
10 Correct 1 ms 504 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 2 ms 336 KB Output is correct
15 Correct 2 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 340 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 432 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 504 KB Output is correct
10 Correct 1 ms 504 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 2 ms 336 KB Output is correct
15 Correct 2 ms 336 KB Output is correct
16 Correct 11 ms 1104 KB Output is correct
17 Correct 21 ms 3064 KB Output is correct
18 Correct 36 ms 3408 KB Output is correct
19 Correct 146 ms 3152 KB Output is correct
20 Correct 175 ms 3408 KB Output is correct
21 Correct 20 ms 2896 KB Output is correct
22 Correct 1 ms 504 KB Output is correct
23 Correct 29 ms 1616 KB Output is correct
24 Correct 34 ms 3152 KB Output is correct
25 Correct 6 ms 592 KB Output is correct
26 Correct 28 ms 2128 KB Output is correct
27 Correct 31 ms 2396 KB Output is correct
28 Correct 34 ms 3408 KB Output is correct
29 Correct 9 ms 1360 KB Output is correct
30 Correct 2 ms 540 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 2416 KB Output is correct
2 Correct 8 ms 848 KB Output is correct
3 Correct 11 ms 1616 KB Output is correct
4 Correct 12 ms 1872 KB Output is correct
5 Correct 15 ms 2128 KB Output is correct
6 Correct 10 ms 1360 KB Output is correct
7 Correct 3 ms 592 KB Output is correct
8 Correct 10 ms 1532 KB Output is correct
9 Correct 26 ms 3152 KB Output is correct
10 Correct 16 ms 1872 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 340 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 432 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 504 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 336 KB Output is correct
24 Correct 2 ms 336 KB Output is correct
25 Correct 2 ms 336 KB Output is correct
26 Correct 11 ms 1104 KB Output is correct
27 Correct 21 ms 3064 KB Output is correct
28 Correct 36 ms 3408 KB Output is correct
29 Correct 146 ms 3152 KB Output is correct
30 Correct 175 ms 3408 KB Output is correct
31 Correct 20 ms 2896 KB Output is correct
32 Correct 1 ms 504 KB Output is correct
33 Correct 29 ms 1616 KB Output is correct
34 Correct 34 ms 3152 KB Output is correct
35 Correct 6 ms 592 KB Output is correct
36 Correct 28 ms 2128 KB Output is correct
37 Correct 31 ms 2396 KB Output is correct
38 Correct 34 ms 3408 KB Output is correct
39 Correct 9 ms 1360 KB Output is correct
40 Correct 2 ms 540 KB Output is correct
41 Correct 122 ms 3068 KB Output is correct
42 Correct 38 ms 3164 KB Output is correct
43 Correct 70 ms 2896 KB Output is correct
44 Correct 42 ms 3152 KB Output is correct
45 Correct 28 ms 3408 KB Output is correct
46 Correct 141 ms 3340 KB Output is correct
47 Correct 28 ms 2896 KB Output is correct
48 Correct 59 ms 3152 KB Output is correct
49 Correct 32 ms 2896 KB Output is correct
50 Correct 679 ms 3152 KB Output is correct
51 Correct 762 ms 3468 KB Output is correct
52 Correct 664 ms 3152 KB Output is correct
53 Correct 716 ms 3408 KB Output is correct
54 Correct 634 ms 3152 KB Output is correct
55 Correct 733 ms 3408 KB Output is correct
56 Correct 635 ms 3152 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 0 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 2416 KB Output is correct
10 Correct 8 ms 848 KB Output is correct
11 Correct 11 ms 1616 KB Output is correct
12 Correct 12 ms 1872 KB Output is correct
13 Correct 15 ms 2128 KB Output is correct
14 Correct 10 ms 1360 KB Output is correct
15 Correct 3 ms 592 KB Output is correct
16 Correct 10 ms 1532 KB Output is correct
17 Correct 26 ms 3152 KB Output is correct
18 Correct 16 ms 1872 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 340 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 432 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 504 KB Output is correct
28 Correct 1 ms 504 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 2 ms 336 KB Output is correct
33 Correct 2 ms 336 KB Output is correct
34 Correct 11 ms 1104 KB Output is correct
35 Correct 21 ms 3064 KB Output is correct
36 Correct 36 ms 3408 KB Output is correct
37 Correct 146 ms 3152 KB Output is correct
38 Correct 175 ms 3408 KB Output is correct
39 Correct 20 ms 2896 KB Output is correct
40 Correct 1 ms 504 KB Output is correct
41 Correct 29 ms 1616 KB Output is correct
42 Correct 34 ms 3152 KB Output is correct
43 Correct 6 ms 592 KB Output is correct
44 Correct 28 ms 2128 KB Output is correct
45 Correct 31 ms 2396 KB Output is correct
46 Correct 34 ms 3408 KB Output is correct
47 Correct 9 ms 1360 KB Output is correct
48 Correct 2 ms 540 KB Output is correct
49 Correct 122 ms 3068 KB Output is correct
50 Correct 38 ms 3164 KB Output is correct
51 Correct 70 ms 2896 KB Output is correct
52 Correct 42 ms 3152 KB Output is correct
53 Correct 28 ms 3408 KB Output is correct
54 Correct 141 ms 3340 KB Output is correct
55 Correct 28 ms 2896 KB Output is correct
56 Correct 59 ms 3152 KB Output is correct
57 Correct 32 ms 2896 KB Output is correct
58 Correct 679 ms 3152 KB Output is correct
59 Correct 762 ms 3468 KB Output is correct
60 Correct 664 ms 3152 KB Output is correct
61 Correct 716 ms 3408 KB Output is correct
62 Correct 634 ms 3152 KB Output is correct
63 Correct 733 ms 3408 KB Output is correct
64 Correct 635 ms 3152 KB Output is correct
65 Correct 1 ms 336 KB Output is correct
66 Correct 1 ms 336 KB Output is correct
67 Correct 861 ms 3360 KB Output is correct
68 Correct 857 ms 3352 KB Output is correct
69 Correct 756 ms 2968 KB Output is correct
70 Correct 815 ms 3152 KB Output is correct
71 Correct 808 ms 3208 KB Output is correct
72 Correct 809 ms 3152 KB Output is correct
73 Correct 809 ms 3096 KB Output is correct
74 Correct 936 ms 3152 KB Output is correct
75 Correct 840 ms 3408 KB Output is correct
76 Correct 916 ms 3376 KB Output is correct
77 Correct 142 ms 3408 KB Output is correct
78 Correct 40 ms 3152 KB Output is correct
79 Correct 88 ms 2896 KB Output is correct
80 Correct 98 ms 3320 KB Output is correct
81 Correct 96 ms 2896 KB Output is correct
82 Correct 70 ms 3408 KB Output is correct
83 Correct 54 ms 2896 KB Output is correct
84 Correct 533 ms 3408 KB Output is correct
85 Correct 946 ms 3408 KB Output is correct
86 Correct 2 ms 336 KB Output is correct
87 Correct 1 ms 336 KB Output is correct
88 Correct 907 ms 3420 KB Output is correct
89 Correct 196 ms 848 KB Output is correct
90 Correct 1 ms 336 KB Output is correct