Submission #1107804

# Submission time Handle Problem Language Result Execution time Memory
1107804 2024-11-02T06:51:53 Z stdfloat Chessboard (IZhO18_chessboard) C++17
70 / 100
865 ms 1952 KB
#include <bits/stdc++.h>
using namespace std;

using ll = long long;

#define pb push_back

#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)((x + 1) >> 1) * (x >> 1) + (ll)(x >> 1) * ((x + 1) >> 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.pb({x, {y.ff, x.ss + i - x.ss % i - 1}}); x.ss += i - x.ss % i;
					}
					if ((y.ss + 1) % i) {
						v.pb({{x.ff, y.ss - y.ss % i}, y}); y.ss -= y.ss % i + 1;
					}
				}
				v.pb({x, y});

				vector<pair<pii, pii>> u1, u2;
				for (auto [x, y] : v) {
					if (x.ff / i == y.ff / i) {
						if (x.ss / i == y.ss / i) u1.pb({x, y});
						else u2.pb({x, y});
					}
					else {
						if (x.ff % i) {
							u1.pb({x, {x.ff + i - x.ff % i - 1, y.ss}}); x.ff += i - x.ff % i;
						}
						if ((y.ff + 1) % i) {
							u1.pb({{y.ff - y.ff % i, x.ss}, y}); y.ff -= y.ff % i + 1;
						}

						u2.pb({x, y});
					}
				}

				for (auto [x, y] : u1) {
					if (((x.ff / i) & 1) == ((x.ss / i) & 1)) {
						cnt1 -= (ll)(y.ff - x.ff + 1) * (y.ss - x.ss + 1);
						cnt2 += (ll)(y.ff - x.ff + 1) * (y.ss - x.ss + 1);
					}
					else {
						cnt1 += (ll)(y.ff - x.ff + 1) * (y.ss - x.ss + 1);
						cnt2 -= (ll)(y.ff - x.ff + 1) * (y.ss - x.ss + 1);
					}
				}

				for (auto [x, y] : u2) {
					bool tr = (((x.ff / i) & 1) == ((x.ss / i) & 1));
					int r = (y.ff - x.ff + 1) / i, c = (y.ss - x.ss + 1) / i;

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

	cout << ans;
}
# 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 0 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 504 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 18 ms 1360 KB Output is correct
2 Correct 5 ms 592 KB Output is correct
3 Correct 12 ms 848 KB Output is correct
4 Correct 12 ms 1104 KB Output is correct
5 Correct 17 ms 1308 KB Output is correct
6 Correct 10 ms 848 KB Output is correct
7 Correct 3 ms 336 KB Output is correct
8 Correct 10 ms 848 KB Output is correct
9 Correct 23 ms 1616 KB Output is correct
10 Correct 13 ms 1236 KB Output is correct
# 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 504 KB Output is correct
8 Correct 1 ms 516 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 336 KB Output is correct
14 Correct 1 ms 508 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
# 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 504 KB Output is correct
8 Correct 1 ms 516 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 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 10 ms 848 KB Output is correct
17 Correct 19 ms 1616 KB Output is correct
18 Correct 33 ms 1872 KB Output is correct
19 Correct 145 ms 1616 KB Output is correct
20 Correct 162 ms 1872 KB Output is correct
21 Correct 19 ms 1616 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 24 ms 1104 KB Output is correct
24 Correct 30 ms 1616 KB Output is correct
25 Correct 6 ms 592 KB Output is correct
26 Correct 26 ms 1340 KB Output is correct
27 Correct 34 ms 1360 KB Output is correct
28 Correct 34 ms 1872 KB Output is correct
29 Correct 8 ms 848 KB Output is correct
30 Correct 2 ms 336 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 18 ms 1360 KB Output is correct
2 Correct 5 ms 592 KB Output is correct
3 Correct 12 ms 848 KB Output is correct
4 Correct 12 ms 1104 KB Output is correct
5 Correct 17 ms 1308 KB Output is correct
6 Correct 10 ms 848 KB Output is correct
7 Correct 3 ms 336 KB Output is correct
8 Correct 10 ms 848 KB Output is correct
9 Correct 23 ms 1616 KB Output is correct
10 Correct 13 ms 1236 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 504 KB Output is correct
18 Correct 1 ms 516 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 508 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 10 ms 848 KB Output is correct
27 Correct 19 ms 1616 KB Output is correct
28 Correct 33 ms 1872 KB Output is correct
29 Correct 145 ms 1616 KB Output is correct
30 Correct 162 ms 1872 KB Output is correct
31 Correct 19 ms 1616 KB Output is correct
32 Correct 1 ms 336 KB Output is correct
33 Correct 24 ms 1104 KB Output is correct
34 Correct 30 ms 1616 KB Output is correct
35 Correct 6 ms 592 KB Output is correct
36 Correct 26 ms 1340 KB Output is correct
37 Correct 34 ms 1360 KB Output is correct
38 Correct 34 ms 1872 KB Output is correct
39 Correct 8 ms 848 KB Output is correct
40 Correct 2 ms 336 KB Output is correct
41 Correct 122 ms 1616 KB Output is correct
42 Correct 37 ms 1872 KB Output is correct
43 Correct 68 ms 1616 KB Output is correct
44 Correct 34 ms 1872 KB Output is correct
45 Correct 26 ms 1872 KB Output is correct
46 Correct 136 ms 1872 KB Output is correct
47 Correct 23 ms 1616 KB Output is correct
48 Correct 51 ms 1616 KB Output is correct
49 Correct 33 ms 1616 KB Output is correct
50 Correct 688 ms 1872 KB Output is correct
51 Correct 728 ms 1952 KB Output is correct
52 Correct 649 ms 1848 KB Output is correct
53 Correct 685 ms 1872 KB Output is correct
54 Correct 639 ms 1828 KB Output is correct
55 Correct 720 ms 1872 KB Output is correct
56 Correct 620 ms 1616 KB Output is correct
# 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 0 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 504 KB Output is correct
9 Correct 18 ms 1360 KB Output is correct
10 Correct 5 ms 592 KB Output is correct
11 Correct 12 ms 848 KB Output is correct
12 Correct 12 ms 1104 KB Output is correct
13 Correct 17 ms 1308 KB Output is correct
14 Correct 10 ms 848 KB Output is correct
15 Correct 3 ms 336 KB Output is correct
16 Correct 10 ms 848 KB Output is correct
17 Correct 23 ms 1616 KB Output is correct
18 Correct 13 ms 1236 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 504 KB Output is correct
26 Correct 1 ms 516 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 336 KB Output is correct
32 Correct 1 ms 508 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 10 ms 848 KB Output is correct
35 Correct 19 ms 1616 KB Output is correct
36 Correct 33 ms 1872 KB Output is correct
37 Correct 145 ms 1616 KB Output is correct
38 Correct 162 ms 1872 KB Output is correct
39 Correct 19 ms 1616 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 24 ms 1104 KB Output is correct
42 Correct 30 ms 1616 KB Output is correct
43 Correct 6 ms 592 KB Output is correct
44 Correct 26 ms 1340 KB Output is correct
45 Correct 34 ms 1360 KB Output is correct
46 Correct 34 ms 1872 KB Output is correct
47 Correct 8 ms 848 KB Output is correct
48 Correct 2 ms 336 KB Output is correct
49 Correct 122 ms 1616 KB Output is correct
50 Correct 37 ms 1872 KB Output is correct
51 Correct 68 ms 1616 KB Output is correct
52 Correct 34 ms 1872 KB Output is correct
53 Correct 26 ms 1872 KB Output is correct
54 Correct 136 ms 1872 KB Output is correct
55 Correct 23 ms 1616 KB Output is correct
56 Correct 51 ms 1616 KB Output is correct
57 Correct 33 ms 1616 KB Output is correct
58 Correct 688 ms 1872 KB Output is correct
59 Correct 728 ms 1952 KB Output is correct
60 Correct 649 ms 1848 KB Output is correct
61 Correct 685 ms 1872 KB Output is correct
62 Correct 639 ms 1828 KB Output is correct
63 Correct 720 ms 1872 KB Output is correct
64 Correct 620 ms 1616 KB Output is correct
65 Correct 1 ms 336 KB Output is correct
66 Correct 1 ms 404 KB Output is correct
67 Incorrect 865 ms 1912 KB Output isn't correct
68 Halted 0 ms 0 KB -