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Submission #1107794

# Submission time Handle Problem Language Result Execution time Memory
1107794 2024-11-02T06:03:49 Z stdfloat Chessboard (IZhO18_chessboard) C++17
70 / 100
 1100 ms 3920 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 z : v) {
					pii x = z.ff, y = z.ss;
					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 z : u1) {
					pii x = z.ff, y = z.ss;
					if ((((x.ff - x.ff % i) / i) & 1) == (((x.ss - x.ss % i) / i) & 1)) {
						cnt1 -= (y.ff - x.ff + 1) * (y.ss - x.ss + 1);
						cnt2 += (y.ff - x.ff + 1) * (y.ss - x.ss + 1);
					}
					else {
						cnt1 += (y.ff - x.ff + 1) * (y.ss - x.ss + 1);
						cnt2 -= (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 -= ((r & 1) && (c & 1) ? (tr ? 1 : -1) : 0) * i * i;
					cnt2 -= ((r & 1) && (c & 1) ? (tr ? -1 : 1) : 0) * i * i;
				}
			}
		
			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 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 0 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 17 ms 1532 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 14 ms 1312 KB Output is correct
6 Correct 9 ms 848 KB Output is correct
7 Correct 3 ms 504 KB Output is correct
8 Correct 10 ms 848 KB Output is correct
9 Correct 30 ms 1616 KB Output is correct
10 Correct 14 ms 1104 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 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 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 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 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 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 34 ms 1872 KB Output is correct
19 Correct 158 ms 1788 KB Output is correct
20 Correct 173 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 28 ms 1104 KB Output is correct
24 Correct 38 ms 1616 KB Output is correct
25 Correct 5 ms 336 KB Output is correct
26 Correct 20 ms 1340 KB Output is correct
27 Correct 31 ms 1360 KB Output is correct
28 Correct 34 ms 1872 KB Output is correct
29 Correct 10 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 1532 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 14 ms 1312 KB Output is correct
6 Correct 9 ms 848 KB Output is correct
7 Correct 3 ms 504 KB Output is correct
8 Correct 10 ms 848 KB Output is correct
9 Correct 30 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 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 10 ms 848 KB Output is correct
27 Correct 19 ms 1616 KB Output is correct
28 Correct 34 ms 1872 KB Output is correct
29 Correct 158 ms 1788 KB Output is correct
30 Correct 173 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 28 ms 1104 KB Output is correct
34 Correct 38 ms 1616 KB Output is correct
35 Correct 5 ms 336 KB Output is correct
36 Correct 20 ms 1340 KB Output is correct
37 Correct 31 ms 1360 KB Output is correct
38 Correct 34 ms 1872 KB Output is correct
39 Correct 10 ms 848 KB Output is correct
40 Correct 2 ms 336 KB Output is correct
41 Correct 135 ms 1616 KB Output is correct
42 Correct 44 ms 1872 KB Output is correct
43 Correct 71 ms 1616 KB Output is correct
44 Correct 41 ms 1872 KB Output is correct
45 Correct 35 ms 2040 KB Output is correct
46 Correct 143 ms 2040 KB Output is correct
47 Correct 23 ms 1788 KB Output is correct
48 Correct 53 ms 1616 KB Output is correct
49 Correct 41 ms 1616 KB Output is correct
50 Correct 730 ms 1616 KB Output is correct
51 Correct 754 ms 1872 KB Output is correct
52 Correct 686 ms 1616 KB Output is correct
53 Correct 744 ms 2040 KB Output is correct
54 Correct 731 ms 1832 KB Output is correct
55 Correct 760 ms 2004 KB Output is correct
56 Correct 653 ms 1792 KB Output is correct

Subtask #6
0 / 30.0

# 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 0 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 0 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 17 ms 1532 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 14 ms 1312 KB Output is correct
14 Correct 9 ms 848 KB Output is correct
15 Correct 3 ms 504 KB Output is correct
16 Correct 10 ms 848 KB Output is correct
17 Correct 30 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 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 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 34 ms 1872 KB Output is correct
37 Correct 158 ms 1788 KB Output is correct
38 Correct 173 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 28 ms 1104 KB Output is correct
42 Correct 38 ms 1616 KB Output is correct
43 Correct 5 ms 336 KB Output is correct
44 Correct 20 ms 1340 KB Output is correct
45 Correct 31 ms 1360 KB Output is correct
46 Correct 34 ms 1872 KB Output is correct
47 Correct 10 ms 848 KB Output is correct
48 Correct 2 ms 336 KB Output is correct
49 Correct 135 ms 1616 KB Output is correct
50 Correct 44 ms 1872 KB Output is correct
51 Correct 71 ms 1616 KB Output is correct
52 Correct 41 ms 1872 KB Output is correct
53 Correct 35 ms 2040 KB Output is correct
54 Correct 143 ms 2040 KB Output is correct
55 Correct 23 ms 1788 KB Output is correct
56 Correct 53 ms 1616 KB Output is correct
57 Correct 41 ms 1616 KB Output is correct
58 Correct 730 ms 1616 KB Output is correct
59 Correct 754 ms 1872 KB Output is correct
60 Correct 686 ms 1616 KB Output is correct
61 Correct 744 ms 2040 KB Output is correct
62 Correct 731 ms 1832 KB Output is correct
63 Correct 760 ms 2004 KB Output is correct
64 Correct 653 ms 1792 KB Output is correct
65 Correct 1 ms 336 KB Output is correct
66 Correct 1 ms 336 KB Output is correct
67 Incorrect 1100 ms 3920 KB Output isn't correct
68 Halted 0 ms 0 KB -