Submission #1107798

# Submission time Handle Problem Language Result Execution time Memory
1107798 2024-11-02T06:26:29 Z stdfloat Chessboard (IZhO18_chessboard) C++17
70 / 100
914 ms 2040 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 - x.ff % i) / i) & 1) == (((x.ss - x.ss % i) / 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 z : u2) {
					pii x = z.ff, y = z.ss;

					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 * i;
					cnt2 -= (ll)((r & 1) && (c & 1) ? (tr ? -1 : 1) : 0) * i * i;
				}
			}
		
			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 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 552 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 17 ms 1360 KB Output is correct
2 Correct 6 ms 760 KB Output is correct
3 Correct 11 ms 848 KB Output is correct
4 Correct 15 ms 1276 KB Output is correct
5 Correct 15 ms 1104 KB Output is correct
6 Correct 11 ms 848 KB Output is correct
7 Correct 3 ms 336 KB Output is correct
8 Correct 9 ms 1004 KB Output is correct
9 Correct 26 ms 1616 KB Output is correct
10 Correct 14 ms 1104 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 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 348 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 468 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 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 348 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 468 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 14 ms 848 KB Output is correct
17 Correct 22 ms 1616 KB Output is correct
18 Correct 36 ms 1872 KB Output is correct
19 Correct 152 ms 1616 KB Output is correct
20 Correct 169 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 1116 KB Output is correct
24 Correct 31 ms 1616 KB Output is correct
25 Correct 5 ms 592 KB Output is correct
26 Correct 23 ms 1344 KB Output is correct
27 Correct 38 ms 1500 KB Output is correct
28 Correct 35 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 17 ms 1360 KB Output is correct
2 Correct 6 ms 760 KB Output is correct
3 Correct 11 ms 848 KB Output is correct
4 Correct 15 ms 1276 KB Output is correct
5 Correct 15 ms 1104 KB Output is correct
6 Correct 11 ms 848 KB Output is correct
7 Correct 3 ms 336 KB Output is correct
8 Correct 9 ms 1004 KB Output is correct
9 Correct 26 ms 1616 KB Output is correct
10 Correct 14 ms 1104 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 336 KB Output is correct
20 Correct 1 ms 348 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 468 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 14 ms 848 KB Output is correct
27 Correct 22 ms 1616 KB Output is correct
28 Correct 36 ms 1872 KB Output is correct
29 Correct 152 ms 1616 KB Output is correct
30 Correct 169 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 1116 KB Output is correct
34 Correct 31 ms 1616 KB Output is correct
35 Correct 5 ms 592 KB Output is correct
36 Correct 23 ms 1344 KB Output is correct
37 Correct 38 ms 1500 KB Output is correct
38 Correct 35 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 127 ms 1784 KB Output is correct
42 Correct 36 ms 1872 KB Output is correct
43 Correct 74 ms 1616 KB Output is correct
44 Correct 39 ms 1880 KB Output is correct
45 Correct 25 ms 1872 KB Output is correct
46 Correct 142 ms 1872 KB Output is correct
47 Correct 22 ms 1968 KB Output is correct
48 Correct 52 ms 1616 KB Output is correct
49 Correct 31 ms 1784 KB Output is correct
50 Correct 685 ms 1616 KB Output is correct
51 Correct 753 ms 1872 KB Output is correct
52 Correct 686 ms 1856 KB Output is correct
53 Correct 742 ms 1944 KB Output is correct
54 Correct 670 ms 1616 KB Output is correct
55 Correct 759 ms 2000 KB Output is correct
56 Correct 656 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 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 552 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 17 ms 1360 KB Output is correct
10 Correct 6 ms 760 KB Output is correct
11 Correct 11 ms 848 KB Output is correct
12 Correct 15 ms 1276 KB Output is correct
13 Correct 15 ms 1104 KB Output is correct
14 Correct 11 ms 848 KB Output is correct
15 Correct 3 ms 336 KB Output is correct
16 Correct 9 ms 1004 KB Output is correct
17 Correct 26 ms 1616 KB Output is correct
18 Correct 14 ms 1104 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 336 KB Output is correct
28 Correct 1 ms 348 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 468 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 14 ms 848 KB Output is correct
35 Correct 22 ms 1616 KB Output is correct
36 Correct 36 ms 1872 KB Output is correct
37 Correct 152 ms 1616 KB Output is correct
38 Correct 169 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 1116 KB Output is correct
42 Correct 31 ms 1616 KB Output is correct
43 Correct 5 ms 592 KB Output is correct
44 Correct 23 ms 1344 KB Output is correct
45 Correct 38 ms 1500 KB Output is correct
46 Correct 35 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 127 ms 1784 KB Output is correct
50 Correct 36 ms 1872 KB Output is correct
51 Correct 74 ms 1616 KB Output is correct
52 Correct 39 ms 1880 KB Output is correct
53 Correct 25 ms 1872 KB Output is correct
54 Correct 142 ms 1872 KB Output is correct
55 Correct 22 ms 1968 KB Output is correct
56 Correct 52 ms 1616 KB Output is correct
57 Correct 31 ms 1784 KB Output is correct
58 Correct 685 ms 1616 KB Output is correct
59 Correct 753 ms 1872 KB Output is correct
60 Correct 686 ms 1856 KB Output is correct
61 Correct 742 ms 1944 KB Output is correct
62 Correct 670 ms 1616 KB Output is correct
63 Correct 759 ms 2000 KB Output is correct
64 Correct 656 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 Incorrect 914 ms 2040 KB Output isn't correct
68 Halted 0 ms 0 KB -