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Submission #1002501

# Submission time Handle Problem Language Result Execution time Memory
1002501 2024-06-19T15:31:13 Z Tob Chessboard (IZhO18_chessboard) C++14
70 / 100
 208 ms 4232 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)*i + (ro/2+((o+co)%2==0&&ro&1))*(d-dd)*i;
			cnt[1] += (ro/2+(o^1&&ro&1))*(bb-b)*i + (ro/2+((o+co)%2==1&&ro&1))*(d-dd)*i;
			
			cnt[0] += (co/2+(o&&co&1))*(aa-a)*i + (co/2+((o+ro)%2==0&&co&1))*(c-cc)*i;
			cnt[1] += (co/2+(o^1&&co&1))*(aa-a)*i + (co/2+((o+ro)%2==1&&co&1))*(c-cc)*i;
			
			cnt[o] += (aa-a)*(bb-b);
			cnt[(o+co-1)&1] += (aa-a)*(d-dd);
			cnt[(o+ro-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 14 ms 2908 KB Output is correct
2 Correct 4 ms 848 KB Output is correct
3 Correct 9 ms 1880 KB Output is correct
4 Correct 9 ms 1884 KB Output is correct
5 Correct 12 ms 2540 KB Output is correct
6 Correct 8 ms 1660 KB Output is correct
7 Correct 2 ms 604 KB Output is correct
8 Correct 8 ms 1696 KB Output is correct
9 Correct 19 ms 3792 KB Output is correct
10 Correct 11 ms 2396 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 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 1 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 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct

Subtask #4
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 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 1 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 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 6 ms 1116 KB Output is correct
17 Correct 15 ms 3148 KB Output is correct
18 Correct 21 ms 3460 KB Output is correct
19 Correct 50 ms 3160 KB Output is correct
20 Correct 53 ms 3440 KB Output is correct
21 Correct 15 ms 3160 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 11 ms 1780 KB Output is correct
24 Correct 19 ms 3164 KB Output is correct
25 Correct 3 ms 600 KB Output is correct
26 Correct 12 ms 2196 KB Output is correct
27 Correct 16 ms 2396 KB Output is correct
28 Correct 20 ms 3460 KB Output is correct
29 Correct 6 ms 1448 KB Output is correct
30 Correct 1 ms 348 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 2908 KB Output is correct
2 Correct 4 ms 848 KB Output is correct
3 Correct 9 ms 1880 KB Output is correct
4 Correct 9 ms 1884 KB Output is correct
5 Correct 12 ms 2540 KB Output is correct
6 Correct 8 ms 1660 KB Output is correct
7 Correct 2 ms 604 KB Output is correct
8 Correct 8 ms 1696 KB Output is correct
9 Correct 19 ms 3792 KB Output is correct
10 Correct 11 ms 2396 KB Output is correct
11 Correct 1 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 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 1 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 1 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 6 ms 1116 KB Output is correct
27 Correct 15 ms 3148 KB Output is correct
28 Correct 21 ms 3460 KB Output is correct
29 Correct 50 ms 3160 KB Output is correct
30 Correct 53 ms 3440 KB Output is correct
31 Correct 15 ms 3160 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 11 ms 1780 KB Output is correct
34 Correct 19 ms 3164 KB Output is correct
35 Correct 3 ms 600 KB Output is correct
36 Correct 12 ms 2196 KB Output is correct
37 Correct 16 ms 2396 KB Output is correct
38 Correct 20 ms 3460 KB Output is correct
39 Correct 6 ms 1448 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 43 ms 3676 KB Output is correct
42 Correct 24 ms 3980 KB Output is correct
43 Correct 29 ms 3652 KB Output is correct
44 Correct 31 ms 4020 KB Output is correct
45 Correct 21 ms 4184 KB Output is correct
46 Correct 48 ms 4036 KB Output is correct
47 Correct 24 ms 3676 KB Output is correct
48 Correct 26 ms 3672 KB Output is correct
49 Correct 20 ms 3672 KB Output is correct
50 Correct 163 ms 3932 KB Output is correct
51 Correct 188 ms 4176 KB Output is correct
52 Correct 155 ms 4000 KB Output is correct
53 Correct 173 ms 4232 KB Output is correct
54 Correct 166 ms 3928 KB Output is correct
55 Correct 183 ms 4176 KB Output is correct
56 Correct 151 ms 3668 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 14 ms 2908 KB Output is correct
10 Correct 4 ms 848 KB Output is correct
11 Correct 9 ms 1880 KB Output is correct
12 Correct 9 ms 1884 KB Output is correct
13 Correct 12 ms 2540 KB Output is correct
14 Correct 8 ms 1660 KB Output is correct
15 Correct 2 ms 604 KB Output is correct
16 Correct 8 ms 1696 KB Output is correct
17 Correct 19 ms 3792 KB Output is correct
18 Correct 11 ms 2396 KB Output is correct
19 Correct 1 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 1 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 1 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 1 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 6 ms 1116 KB Output is correct
35 Correct 15 ms 3148 KB Output is correct
36 Correct 21 ms 3460 KB Output is correct
37 Correct 50 ms 3160 KB Output is correct
38 Correct 53 ms 3440 KB Output is correct
39 Correct 15 ms 3160 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 11 ms 1780 KB Output is correct
42 Correct 19 ms 3164 KB Output is correct
43 Correct 3 ms 600 KB Output is correct
44 Correct 12 ms 2196 KB Output is correct
45 Correct 16 ms 2396 KB Output is correct
46 Correct 20 ms 3460 KB Output is correct
47 Correct 6 ms 1448 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 43 ms 3676 KB Output is correct
50 Correct 24 ms 3980 KB Output is correct
51 Correct 29 ms 3652 KB Output is correct
52 Correct 31 ms 4020 KB Output is correct
53 Correct 21 ms 4184 KB Output is correct
54 Correct 48 ms 4036 KB Output is correct
55 Correct 24 ms 3676 KB Output is correct
56 Correct 26 ms 3672 KB Output is correct
57 Correct 20 ms 3672 KB Output is correct
58 Correct 163 ms 3932 KB Output is correct
59 Correct 188 ms 4176 KB Output is correct
60 Correct 155 ms 4000 KB Output is correct
61 Correct 173 ms 4232 KB Output is correct
62 Correct 166 ms 3928 KB Output is correct
63 Correct 183 ms 4176 KB Output is correct
64 Correct 151 ms 3668 KB Output is correct
65 Correct 0 ms 348 KB Output is correct
66 Correct 0 ms 348 KB Output is correct
67 Incorrect 208 ms 4024 KB Output isn't correct
68 Halted 0 ms 0 KB -