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Submission #1002505

# Submission time Handle Problem Language Result Execution time Memory
1002505 2024-06-19T15:34:42 Z Tob Chessboard (IZhO18_chessboard) C++14
100 / 100
 236 ms 4392 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))*i;
				cnt[1] += ro*(co/2+(co&1&&o==0))*i;
				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))*i;
				cnt[1] += co*(ro/2+(ro&1&&o==0))*i;
				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 1 ms 344 KB Output is correct
2 Correct 0 ms 464 KB Output is correct
3 Correct 0 ms 344 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 2904 KB Output is correct
2 Correct 4 ms 860 KB Output is correct
3 Correct 9 ms 1868 KB Output is correct
4 Correct 10 ms 1872 KB Output is correct
5 Correct 16 ms 2440 KB Output is correct
6 Correct 8 ms 1628 KB Output is correct
7 Correct 2 ms 604 KB Output is correct
8 Correct 8 ms 1608 KB Output is correct
9 Correct 20 ms 3668 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 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 464 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 468 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 364 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 1 ms 348 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 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 464 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 468 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 364 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 344 KB Output is correct
13 Correct 1 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 7 ms 1336 KB Output is correct
17 Correct 15 ms 2908 KB Output is correct
18 Correct 54 ms 3412 KB Output is correct
19 Correct 47 ms 3248 KB Output is correct
20 Correct 53 ms 3572 KB Output is correct
21 Correct 15 ms 2908 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 11 ms 1764 KB Output is correct
24 Correct 19 ms 3268 KB Output is correct
25 Correct 4 ms 604 KB Output is correct
26 Correct 12 ms 2040 KB Output is correct
27 Correct 16 ms 2396 KB Output is correct
28 Correct 25 ms 3420 KB Output is correct
29 Correct 6 ms 1368 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 2904 KB Output is correct
2 Correct 4 ms 860 KB Output is correct
3 Correct 9 ms 1868 KB Output is correct
4 Correct 10 ms 1872 KB Output is correct
5 Correct 16 ms 2440 KB Output is correct
6 Correct 8 ms 1628 KB Output is correct
7 Correct 2 ms 604 KB Output is correct
8 Correct 8 ms 1608 KB Output is correct
9 Correct 20 ms 3668 KB Output is correct
10 Correct 11 ms 2396 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 464 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 0 ms 468 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 364 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 344 KB Output is correct
23 Correct 1 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 7 ms 1336 KB Output is correct
27 Correct 15 ms 2908 KB Output is correct
28 Correct 54 ms 3412 KB Output is correct
29 Correct 47 ms 3248 KB Output is correct
30 Correct 53 ms 3572 KB Output is correct
31 Correct 15 ms 2908 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 11 ms 1764 KB Output is correct
34 Correct 19 ms 3268 KB Output is correct
35 Correct 4 ms 604 KB Output is correct
36 Correct 12 ms 2040 KB Output is correct
37 Correct 16 ms 2396 KB Output is correct
38 Correct 25 ms 3420 KB Output is correct
39 Correct 6 ms 1368 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 44 ms 3676 KB Output is correct
42 Correct 32 ms 3920 KB Output is correct
43 Correct 30 ms 3736 KB Output is correct
44 Correct 23 ms 3924 KB Output is correct
45 Correct 21 ms 4176 KB Output is correct
46 Correct 49 ms 3932 KB Output is correct
47 Correct 19 ms 3676 KB Output is correct
48 Correct 26 ms 3916 KB Output is correct
49 Correct 21 ms 3672 KB Output is correct
50 Correct 173 ms 3972 KB Output is correct
51 Correct 179 ms 4116 KB Output is correct
52 Correct 161 ms 3932 KB Output is correct
53 Correct 166 ms 4184 KB Output is correct
54 Correct 152 ms 3928 KB Output is correct
55 Correct 187 ms 4160 KB Output is correct
56 Correct 167 ms 3848 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 464 KB Output is correct
3 Correct 0 ms 344 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 2904 KB Output is correct
10 Correct 4 ms 860 KB Output is correct
11 Correct 9 ms 1868 KB Output is correct
12 Correct 10 ms 1872 KB Output is correct
13 Correct 16 ms 2440 KB Output is correct
14 Correct 8 ms 1628 KB Output is correct
15 Correct 2 ms 604 KB Output is correct
16 Correct 8 ms 1608 KB Output is correct
17 Correct 20 ms 3668 KB Output is correct
18 Correct 11 ms 2396 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 464 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 0 ms 468 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 364 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 344 KB Output is correct
31 Correct 1 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 7 ms 1336 KB Output is correct
35 Correct 15 ms 2908 KB Output is correct
36 Correct 54 ms 3412 KB Output is correct
37 Correct 47 ms 3248 KB Output is correct
38 Correct 53 ms 3572 KB Output is correct
39 Correct 15 ms 2908 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 11 ms 1764 KB Output is correct
42 Correct 19 ms 3268 KB Output is correct
43 Correct 4 ms 604 KB Output is correct
44 Correct 12 ms 2040 KB Output is correct
45 Correct 16 ms 2396 KB Output is correct
46 Correct 25 ms 3420 KB Output is correct
47 Correct 6 ms 1368 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 44 ms 3676 KB Output is correct
50 Correct 32 ms 3920 KB Output is correct
51 Correct 30 ms 3736 KB Output is correct
52 Correct 23 ms 3924 KB Output is correct
53 Correct 21 ms 4176 KB Output is correct
54 Correct 49 ms 3932 KB Output is correct
55 Correct 19 ms 3676 KB Output is correct
56 Correct 26 ms 3916 KB Output is correct
57 Correct 21 ms 3672 KB Output is correct
58 Correct 173 ms 3972 KB Output is correct
59 Correct 179 ms 4116 KB Output is correct
60 Correct 161 ms 3932 KB Output is correct
61 Correct 166 ms 4184 KB Output is correct
62 Correct 152 ms 3928 KB Output is correct
63 Correct 187 ms 4160 KB Output is correct
64 Correct 167 ms 3848 KB Output is correct
65 Correct 0 ms 348 KB Output is correct
66 Correct 0 ms 348 KB Output is correct
67 Correct 230 ms 4356 KB Output is correct
68 Correct 227 ms 4120 KB Output is correct
69 Correct 186 ms 3672 KB Output is correct
70 Correct 202 ms 3932 KB Output is correct
71 Correct 202 ms 3932 KB Output is correct
72 Correct 186 ms 3672 KB Output is correct
73 Correct 202 ms 3676 KB Output is correct
74 Correct 220 ms 3924 KB Output is correct
75 Correct 192 ms 3932 KB Output is correct
76 Correct 209 ms 4188 KB Output is correct
77 Correct 46 ms 4188 KB Output is correct
78 Correct 24 ms 3932 KB Output is correct
79 Correct 35 ms 3672 KB Output is correct
80 Correct 44 ms 3872 KB Output is correct
81 Correct 35 ms 3664 KB Output is correct
82 Correct 40 ms 3928 KB Output is correct
83 Correct 27 ms 3672 KB Output is correct
84 Correct 135 ms 4256 KB Output is correct
85 Correct 236 ms 4308 KB Output is correct
86 Correct 1 ms 348 KB Output is correct
87 Correct 0 ms 348 KB Output is correct
88 Correct 231 ms 4392 KB Output is correct
89 Correct 53 ms 1116 KB Output is correct
90 Correct 0 ms 348 KB Output is correct