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Submission #1002380

# Submission time Handle Problem Language Result Execution time Memory
1002380 2024-06-19T13:55:03 Z Tob Chessboard (IZhO18_chessboard) C++14
70 / 100
 217 ms 4188 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 464 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 344 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 856 KB Output is correct
3 Correct 9 ms 1940 KB Output is correct
4 Correct 15 ms 1884 KB Output is correct
5 Correct 12 ms 2612 KB Output is correct
6 Correct 8 ms 1624 KB Output is correct
7 Correct 2 ms 600 KB Output is correct
8 Correct 10 ms 1832 KB Output is correct
9 Correct 26 ms 3768 KB Output is correct
10 Correct 12 ms 2396 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 1 ms 416 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 472 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 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 1 ms 416 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 472 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 9 ms 1116 KB Output is correct
17 Correct 17 ms 3064 KB Output is correct
18 Correct 21 ms 3416 KB Output is correct
19 Correct 47 ms 3164 KB Output is correct
20 Correct 53 ms 3412 KB Output is correct
21 Correct 15 ms 2904 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 13 ms 1712 KB Output is correct
24 Correct 19 ms 3160 KB Output is correct
25 Correct 3 ms 604 KB Output is correct
26 Correct 12 ms 2140 KB Output is correct
27 Correct 16 ms 2544 KB Output is correct
28 Correct 20 ms 3420 KB Output is correct
29 Correct 6 ms 1372 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 856 KB Output is correct
3 Correct 9 ms 1940 KB Output is correct
4 Correct 15 ms 1884 KB Output is correct
5 Correct 12 ms 2612 KB Output is correct
6 Correct 8 ms 1624 KB Output is correct
7 Correct 2 ms 600 KB Output is correct
8 Correct 10 ms 1832 KB Output is correct
9 Correct 26 ms 3768 KB Output is correct
10 Correct 12 ms 2396 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 1 ms 416 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 472 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 0 ms 344 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 9 ms 1116 KB Output is correct
27 Correct 17 ms 3064 KB Output is correct
28 Correct 21 ms 3416 KB Output is correct
29 Correct 47 ms 3164 KB Output is correct
30 Correct 53 ms 3412 KB Output is correct
31 Correct 15 ms 2904 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 13 ms 1712 KB Output is correct
34 Correct 19 ms 3160 KB Output is correct
35 Correct 3 ms 604 KB Output is correct
36 Correct 12 ms 2140 KB Output is correct
37 Correct 16 ms 2544 KB Output is correct
38 Correct 20 ms 3420 KB Output is correct
39 Correct 6 ms 1372 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 43 ms 3672 KB Output is correct
42 Correct 24 ms 4188 KB Output is correct
43 Correct 30 ms 3672 KB Output is correct
44 Correct 23 ms 3928 KB Output is correct
45 Correct 22 ms 4168 KB Output is correct
46 Correct 48 ms 4120 KB Output is correct
47 Correct 18 ms 3676 KB Output is correct
48 Correct 27 ms 3752 KB Output is correct
49 Correct 21 ms 3676 KB Output is correct
50 Correct 177 ms 4024 KB Output is correct
51 Correct 183 ms 4188 KB Output is correct
52 Correct 177 ms 3992 KB Output is correct
53 Correct 186 ms 4188 KB Output is correct
54 Correct 170 ms 3932 KB Output is correct
55 Correct 192 ms 4184 KB Output is correct
56 Correct 167 ms 3844 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 464 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 344 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 856 KB Output is correct
11 Correct 9 ms 1940 KB Output is correct
12 Correct 15 ms 1884 KB Output is correct
13 Correct 12 ms 2612 KB Output is correct
14 Correct 8 ms 1624 KB Output is correct
15 Correct 2 ms 600 KB Output is correct
16 Correct 10 ms 1832 KB Output is correct
17 Correct 26 ms 3768 KB Output is correct
18 Correct 12 ms 2396 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 1 ms 416 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 472 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 344 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 9 ms 1116 KB Output is correct
35 Correct 17 ms 3064 KB Output is correct
36 Correct 21 ms 3416 KB Output is correct
37 Correct 47 ms 3164 KB Output is correct
38 Correct 53 ms 3412 KB Output is correct
39 Correct 15 ms 2904 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 13 ms 1712 KB Output is correct
42 Correct 19 ms 3160 KB Output is correct
43 Correct 3 ms 604 KB Output is correct
44 Correct 12 ms 2140 KB Output is correct
45 Correct 16 ms 2544 KB Output is correct
46 Correct 20 ms 3420 KB Output is correct
47 Correct 6 ms 1372 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 43 ms 3672 KB Output is correct
50 Correct 24 ms 4188 KB Output is correct
51 Correct 30 ms 3672 KB Output is correct
52 Correct 23 ms 3928 KB Output is correct
53 Correct 22 ms 4168 KB Output is correct
54 Correct 48 ms 4120 KB Output is correct
55 Correct 18 ms 3676 KB Output is correct
56 Correct 27 ms 3752 KB Output is correct
57 Correct 21 ms 3676 KB Output is correct
58 Correct 177 ms 4024 KB Output is correct
59 Correct 183 ms 4188 KB Output is correct
60 Correct 177 ms 3992 KB Output is correct
61 Correct 186 ms 4188 KB Output is correct
62 Correct 170 ms 3932 KB Output is correct
63 Correct 192 ms 4184 KB Output is correct
64 Correct 167 ms 3844 KB Output is correct
65 Correct 0 ms 348 KB Output is correct
66 Correct 0 ms 348 KB Output is correct
67 Incorrect 217 ms 4096 KB Output isn't correct
68 Halted 0 ms 0 KB -