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Submission #1002441

# Submission time Handle Problem Language Result Execution time Memory
1002441 2024-06-19T14:57:28 Z Tob Chessboard (IZhO18_chessboard) C++14
70 / 100
 195 ms 4280 KB 
#include <bits/stdc++.h>

#define F first
#define S second
#define all(x) x.begin(), x.end()
#define pb push_back
#define FIO ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)

using namespace std;

typedef long long ll;
typedef pair <int, int> pii;

const int N = 1e5 + 7;

ll n, m;
pair <pii, pii> re[N];

int main () {
	FIO;
	cin >> n >> m;
	
	for (int i = 0; i < m; i++) {
		int x, y, x2, y2; cin >> x >> y >> x2 >> y2; x--; y--; x2--; y2--;
		re[i] = {{x, y}, {x2, y2}};
	}
	
	ll mn = 1e18;
	for (ll i = 1; i < n; i++) {
		if (n % i) continue;
		ll cnt[2] = {0};
		for (int j = 0; j < m; j++) {
			ll a = re[j].F.F, b = re[j].F.S, c = re[j].S.F, d = re[j].S.S;
			ll aa = a/i*i+i, bb = b/i*i+i, cc = c/i*i-1, dd = d/i*i-1;
			ll ro = (cc-aa+1)/i, co = (dd-bb+1)/i;
			int o = (aa/i+bb/i)%2;
			if (ro < 0 && co < 0) {
				cnt[o] += (c-a+1)*(d-b+1);
				continue;
			}
			if (ro < 0) {
				ro = c-a+1;
				cnt[o] += ro*(bb-b);
				cnt[(o+co+1)&1] += ro*(d-dd);
				cnt[0] += ro*(co/2+(co&1&&o==1));
				cnt[1] += ro*(co/2+(co&1&&o==0));
				continue;
			}
			if (co < 0) {
				co = d-b+1;
				cnt[o] += co*(aa-a);
				cnt[(o+ro+1)&1] += co*(c-cc);
				cnt[0] += co*(ro/2+(ro&1&&o==1));
				cnt[1] += co*(ro/2+(ro&1&&o==0));
				continue;
			}
			cnt[0] += ro*co/2*i*i; cnt[1] += ro*co/2*i*i;
			if (ro*co&1) cnt[o] += i*i;
			
			cnt[0] += (ro/2+(o&&ro&1))*(bb-b) + (ro/2+((o+co)%2==0&&ro&1))*(d-dd);
			cnt[1] += (ro/2+(o^1&&ro&1))*(bb-b) + (ro/2+((o+co)%2==1&&ro&1))*(d-dd);
			
			cnt[0] += (co/2+(o&&co&1))*(aa-a) + (co/2+((o+ro)%2==0&&co&1))*(c-cc);
			cnt[1] += (co/2+(o^1&&co&1))*(aa-a) + (co/2+((o+ro)%2==1&&co&1))*(c-cc);
			
			cnt[o] += (aa-a)*(bb-b);
			cnt[(o+ro-1)&1] += (aa-a)*(d-dd);
			cnt[(o+co-1)&1] += (c-cc)*(bb-b);
			cnt[(o+ro+co)&1] += (c-cc)*(d-dd);
		}
		ll dod = (n/i&1)*i*i;
		ll cost = min((n*n-dod)/2+dod - cnt[0] + cnt[1], (n*n-dod)/2 - cnt[1] + cnt[0]);
		mn = min(mn, cost);
	}
	cout << mn;

	return 0;
}

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 2908 KB Output is correct
2 Correct 6 ms 856 KB Output is correct
3 Correct 10 ms 2012 KB Output is correct
4 Correct 8 ms 1880 KB Output is correct
5 Correct 10 ms 2516 KB Output is correct
6 Correct 7 ms 1628 KB Output is correct
7 Correct 2 ms 732 KB Output is correct
8 Correct 7 ms 1716 KB Output is correct
9 Correct 16 ms 3828 KB Output is correct
10 Correct 10 ms 2264 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 5 ms 1228 KB Output is correct
17 Correct 14 ms 2908 KB Output is correct
18 Correct 17 ms 3492 KB Output is correct
19 Correct 41 ms 3164 KB Output is correct
20 Correct 47 ms 3592 KB Output is correct
21 Correct 15 ms 2904 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 18 ms 1788 KB Output is correct
24 Correct 32 ms 3164 KB Output is correct
25 Correct 2 ms 604 KB Output is correct
26 Correct 20 ms 2128 KB Output is correct
27 Correct 15 ms 2548 KB Output is correct
28 Correct 20 ms 3416 KB Output is correct
29 Correct 6 ms 1368 KB Output is correct
30 Correct 1 ms 516 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 2908 KB Output is correct
2 Correct 6 ms 856 KB Output is correct
3 Correct 10 ms 2012 KB Output is correct
4 Correct 8 ms 1880 KB Output is correct
5 Correct 10 ms 2516 KB Output is correct
6 Correct 7 ms 1628 KB Output is correct
7 Correct 2 ms 732 KB Output is correct
8 Correct 7 ms 1716 KB Output is correct
9 Correct 16 ms 3828 KB Output is correct
10 Correct 10 ms 2264 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 5 ms 1228 KB Output is correct
27 Correct 14 ms 2908 KB Output is correct
28 Correct 17 ms 3492 KB Output is correct
29 Correct 41 ms 3164 KB Output is correct
30 Correct 47 ms 3592 KB Output is correct
31 Correct 15 ms 2904 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 18 ms 1788 KB Output is correct
34 Correct 32 ms 3164 KB Output is correct
35 Correct 2 ms 604 KB Output is correct
36 Correct 20 ms 2128 KB Output is correct
37 Correct 15 ms 2548 KB Output is correct
38 Correct 20 ms 3416 KB Output is correct
39 Correct 6 ms 1368 KB Output is correct
40 Correct 1 ms 516 KB Output is correct
41 Correct 43 ms 3924 KB Output is correct
42 Correct 24 ms 3932 KB Output is correct
43 Correct 30 ms 3676 KB Output is correct
44 Correct 23 ms 3976 KB Output is correct
45 Correct 22 ms 4280 KB Output is correct
46 Correct 49 ms 3932 KB Output is correct
47 Correct 26 ms 3668 KB Output is correct
48 Correct 27 ms 3676 KB Output is correct
49 Correct 27 ms 3668 KB Output is correct
50 Correct 178 ms 3852 KB Output is correct
51 Correct 174 ms 4188 KB Output is correct
52 Correct 160 ms 3920 KB Output is correct
53 Correct 172 ms 4184 KB Output is correct
54 Correct 160 ms 3928 KB Output is correct
55 Correct 182 ms 4188 KB Output is correct
56 Correct 160 ms 3664 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 12 ms 2908 KB Output is correct
10 Correct 6 ms 856 KB Output is correct
11 Correct 10 ms 2012 KB Output is correct
12 Correct 8 ms 1880 KB Output is correct
13 Correct 10 ms 2516 KB Output is correct
14 Correct 7 ms 1628 KB Output is correct
15 Correct 2 ms 732 KB Output is correct
16 Correct 7 ms 1716 KB Output is correct
17 Correct 16 ms 3828 KB Output is correct
18 Correct 10 ms 2264 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 5 ms 1228 KB Output is correct
35 Correct 14 ms 2908 KB Output is correct
36 Correct 17 ms 3492 KB Output is correct
37 Correct 41 ms 3164 KB Output is correct
38 Correct 47 ms 3592 KB Output is correct
39 Correct 15 ms 2904 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 18 ms 1788 KB Output is correct
42 Correct 32 ms 3164 KB Output is correct
43 Correct 2 ms 604 KB Output is correct
44 Correct 20 ms 2128 KB Output is correct
45 Correct 15 ms 2548 KB Output is correct
46 Correct 20 ms 3416 KB Output is correct
47 Correct 6 ms 1368 KB Output is correct
48 Correct 1 ms 516 KB Output is correct
49 Correct 43 ms 3924 KB Output is correct
50 Correct 24 ms 3932 KB Output is correct
51 Correct 30 ms 3676 KB Output is correct
52 Correct 23 ms 3976 KB Output is correct
53 Correct 22 ms 4280 KB Output is correct
54 Correct 49 ms 3932 KB Output is correct
55 Correct 26 ms 3668 KB Output is correct
56 Correct 27 ms 3676 KB Output is correct
57 Correct 27 ms 3668 KB Output is correct
58 Correct 178 ms 3852 KB Output is correct
59 Correct 174 ms 4188 KB Output is correct
60 Correct 160 ms 3920 KB Output is correct
61 Correct 172 ms 4184 KB Output is correct
62 Correct 160 ms 3928 KB Output is correct
63 Correct 182 ms 4188 KB Output is correct
64 Correct 160 ms 3664 KB Output is correct
65 Correct 0 ms 348 KB Output is correct
66 Correct 0 ms 348 KB Output is correct
67 Incorrect 195 ms 4140 KB Output isn't correct
68 Halted 0 ms 0 KB -