Submission #378579

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
378579	2021-03-17T01:56:13 Z	8e7	Chessboard (IZhO18_chessboard)	C++14	70 / 100	205 ms	2672 KB

chessboard

//Challenge: Accepted
#include <iostream>
#include <algorithm>
#include <vector>
#include <utility>
#define ll long long
#define maxn 100005
#define pii pair<int, int>
#define ff first
#define ss second
#define io ios_base::sync_with_stdio(0);cin.tie(0);
using namespace std;
struct rect{
	int x1, y1, x2, y2;
	rect() {
		x1 = 0, y1 = 0, x2 = 0, y2 = 0;
	}
	rect(int a, int b, int c, int d) {
		x1 = a, y1 = b, x2 = c, y2 = d;
	}
};
vector<rect> v;

inline ll wnum(ll x, ll y, ll len) {
	ll ret = 0;
	ll cx = x / len, cy = y / len;
	if (cx % 2 == 0 || cy % 2 == 0) {
		ret += len * len * (cx * cy / 2);
	} else {
		ret += len * len * ((cx * cy + 1) / 2);
	}
	if (cy % 2 == 0) { //white
		ret += y % len * ((cx + 1) / 2);
	} else {
		ret += y % len * (cx / 2);
	}
	if (cx % 2 == 0) {
		ret += x % len * ((cy + 1) / 2);
	} else {
		ret += x % len * (cy / 2);
	}
	if ((cx + cy % 2) == 0) ret += (cx % len) * (cy % len);
	return ret;
}
ll solve(ll n, ll len) {
	ll val = n * n - wnum(n, n, len);
	for (rect a:v) {
		val += (a.x1 / len + a.y1 / len) % 2 ? -1 : 1;
	}
	val = min(val, n * n - val);
	//cout << len << " " << val << endl;
	return val;
}
int main() {
	io
	ll n, k;
	cin >> n >> k;
	for (int i = 0;i < k;i++) {
		ll x1, y1, x2, y2;
		cin >> x1 >> y1 >> x2 >> y2;
		x1--, y1--, x2--, y2--;
		v.push_back(rect(x1, y1, x2, y2));
	}
	ll ans = 1LL<<60;
	for (ll i = 1;i * i <= n;i++) {
		if (n % i == 0) {
			ans = min(ans, solve(n, i));
			if (i * i != n && i != 1) {
				ans = min(ans, solve(n, n / i));
			}
		}
	}
	cout << ans << endl;
}
/*
2 0

6 8
3 3 3 3
1 2 1 2
3 4 3 4
5 5 5 5
4 3 4 3
4 4 4 4
2 1 2 1
3 6 3 6
 */

Subtask #1
8.0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	0 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	0 ms	364 KB	Output is correct
6	Correct	0 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	364 KB	Output is correct

Subtask #2
8.0 / 8.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	25 ms	1516 KB	Output is correct
2	Correct	7 ms	1008 KB	Output is correct
3	Correct	16 ms	1516 KB	Output is correct
4	Correct	18 ms	1516 KB	Output is correct
5	Correct	22 ms	1516 KB	Output is correct
6	Correct	14 ms	1516 KB	Output is correct
7	Correct	3 ms	620 KB	Output is correct
8	Correct	14 ms	1516 KB	Output is correct
9	Correct	36 ms	2536 KB	Output is correct
10	Correct	20 ms	1536 KB	Output is correct

Subtask #3
15.0 / 15.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	1 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	1 ms	364 KB	Output is correct
6	Correct	1 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	364 KB	Output is correct
9	Correct	1 ms	364 KB	Output is correct
10	Correct	1 ms	364 KB	Output is correct
11	Correct	1 ms	364 KB	Output is correct
12	Correct	1 ms	364 KB	Output is correct
13	Correct	1 ms	364 KB	Output is correct
14	Correct	1 ms	364 KB	Output is correct
15	Correct	1 ms	364 KB	Output is correct

Subtask #4
16.0 / 16.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	1 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	1 ms	364 KB	Output is correct
6	Correct	1 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	364 KB	Output is correct
9	Correct	1 ms	364 KB	Output is correct
10	Correct	1 ms	364 KB	Output is correct
11	Correct	1 ms	364 KB	Output is correct
12	Correct	1 ms	364 KB	Output is correct
13	Correct	1 ms	364 KB	Output is correct
14	Correct	1 ms	364 KB	Output is correct
15	Correct	1 ms	364 KB	Output is correct
16	Correct	10 ms	1008 KB	Output is correct
17	Correct	29 ms	2536 KB	Output is correct
18	Correct	38 ms	2536 KB	Output is correct
19	Correct	57 ms	2536 KB	Output is correct
20	Correct	66 ms	2536 KB	Output is correct
21	Correct	28 ms	2536 KB	Output is correct
22	Correct	1 ms	364 KB	Output is correct
23	Correct	18 ms	1516 KB	Output is correct
24	Correct	35 ms	2664 KB	Output is correct
25	Correct	4 ms	748 KB	Output is correct
26	Correct	21 ms	1516 KB	Output is correct
27	Correct	27 ms	2536 KB	Output is correct
28	Correct	40 ms	2536 KB	Output is correct
29	Correct	17 ms	1516 KB	Output is correct
30	Correct	2 ms	492 KB	Output is correct

Subtask #5
23.0 / 23.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	25 ms	1516 KB	Output is correct
2	Correct	7 ms	1008 KB	Output is correct
3	Correct	16 ms	1516 KB	Output is correct
4	Correct	18 ms	1516 KB	Output is correct
5	Correct	22 ms	1516 KB	Output is correct
6	Correct	14 ms	1516 KB	Output is correct
7	Correct	3 ms	620 KB	Output is correct
8	Correct	14 ms	1516 KB	Output is correct
9	Correct	36 ms	2536 KB	Output is correct
10	Correct	20 ms	1536 KB	Output is correct
11	Correct	1 ms	364 KB	Output is correct
12	Correct	1 ms	364 KB	Output is correct
13	Correct	1 ms	364 KB	Output is correct
14	Correct	1 ms	364 KB	Output is correct
15	Correct	1 ms	364 KB	Output is correct
16	Correct	1 ms	364 KB	Output is correct
17	Correct	1 ms	364 KB	Output is correct
18	Correct	1 ms	364 KB	Output is correct
19	Correct	1 ms	364 KB	Output is correct
20	Correct	1 ms	364 KB	Output is correct
21	Correct	1 ms	364 KB	Output is correct
22	Correct	1 ms	364 KB	Output is correct
23	Correct	1 ms	364 KB	Output is correct
24	Correct	1 ms	364 KB	Output is correct
25	Correct	1 ms	364 KB	Output is correct
26	Correct	10 ms	1008 KB	Output is correct
27	Correct	29 ms	2536 KB	Output is correct
28	Correct	38 ms	2536 KB	Output is correct
29	Correct	57 ms	2536 KB	Output is correct
30	Correct	66 ms	2536 KB	Output is correct
31	Correct	28 ms	2536 KB	Output is correct
32	Correct	1 ms	364 KB	Output is correct
33	Correct	18 ms	1516 KB	Output is correct
34	Correct	35 ms	2664 KB	Output is correct
35	Correct	4 ms	748 KB	Output is correct
36	Correct	21 ms	1516 KB	Output is correct
37	Correct	27 ms	2536 KB	Output is correct
38	Correct	40 ms	2536 KB	Output is correct
39	Correct	17 ms	1516 KB	Output is correct
40	Correct	2 ms	492 KB	Output is correct
41	Correct	57 ms	2536 KB	Output is correct
42	Correct	39 ms	2536 KB	Output is correct
43	Correct	44 ms	2536 KB	Output is correct
44	Correct	38 ms	2536 KB	Output is correct
45	Correct	51 ms	2536 KB	Output is correct
46	Correct	63 ms	2536 KB	Output is correct
47	Correct	34 ms	2536 KB	Output is correct
48	Correct	41 ms	2536 KB	Output is correct
49	Correct	45 ms	2536 KB	Output is correct
50	Correct	196 ms	2536 KB	Output is correct
51	Correct	199 ms	2664 KB	Output is correct
52	Correct	182 ms	2500 KB	Output is correct
53	Correct	198 ms	2536 KB	Output is correct
54	Correct	182 ms	2672 KB	Output is correct
55	Correct	205 ms	2576 KB	Output is correct
56	Correct	177 ms	2480 KB	Output is correct

Subtask #6
0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	0 ms	364 KB	Output is correct
4	Correct	1 ms	364 KB	Output is correct
5	Correct	0 ms	364 KB	Output is correct
6	Correct	0 ms	364 KB	Output is correct
7	Correct	1 ms	364 KB	Output is correct
8	Correct	1 ms	364 KB	Output is correct
9	Correct	25 ms	1516 KB	Output is correct
10	Correct	7 ms	1008 KB	Output is correct
11	Correct	16 ms	1516 KB	Output is correct
12	Correct	18 ms	1516 KB	Output is correct
13	Correct	22 ms	1516 KB	Output is correct
14	Correct	14 ms	1516 KB	Output is correct
15	Correct	3 ms	620 KB	Output is correct
16	Correct	14 ms	1516 KB	Output is correct
17	Correct	36 ms	2536 KB	Output is correct
18	Correct	20 ms	1536 KB	Output is correct
19	Correct	1 ms	364 KB	Output is correct
20	Correct	1 ms	364 KB	Output is correct
21	Correct	1 ms	364 KB	Output is correct
22	Correct	1 ms	364 KB	Output is correct
23	Correct	1 ms	364 KB	Output is correct
24	Correct	1 ms	364 KB	Output is correct
25	Correct	1 ms	364 KB	Output is correct
26	Correct	1 ms	364 KB	Output is correct
27	Correct	1 ms	364 KB	Output is correct
28	Correct	1 ms	364 KB	Output is correct
29	Correct	1 ms	364 KB	Output is correct
30	Correct	1 ms	364 KB	Output is correct
31	Correct	1 ms	364 KB	Output is correct
32	Correct	1 ms	364 KB	Output is correct
33	Correct	1 ms	364 KB	Output is correct
34	Correct	10 ms	1008 KB	Output is correct
35	Correct	29 ms	2536 KB	Output is correct
36	Correct	38 ms	2536 KB	Output is correct
37	Correct	57 ms	2536 KB	Output is correct
38	Correct	66 ms	2536 KB	Output is correct
39	Correct	28 ms	2536 KB	Output is correct
40	Correct	1 ms	364 KB	Output is correct
41	Correct	18 ms	1516 KB	Output is correct
42	Correct	35 ms	2664 KB	Output is correct
43	Correct	4 ms	748 KB	Output is correct
44	Correct	21 ms	1516 KB	Output is correct
45	Correct	27 ms	2536 KB	Output is correct
46	Correct	40 ms	2536 KB	Output is correct
47	Correct	17 ms	1516 KB	Output is correct
48	Correct	2 ms	492 KB	Output is correct
49	Correct	57 ms	2536 KB	Output is correct
50	Correct	39 ms	2536 KB	Output is correct
51	Correct	44 ms	2536 KB	Output is correct
52	Correct	38 ms	2536 KB	Output is correct
53	Correct	51 ms	2536 KB	Output is correct
54	Correct	63 ms	2536 KB	Output is correct
55	Correct	34 ms	2536 KB	Output is correct
56	Correct	41 ms	2536 KB	Output is correct
57	Correct	45 ms	2536 KB	Output is correct
58	Correct	196 ms	2536 KB	Output is correct
59	Correct	199 ms	2664 KB	Output is correct
60	Correct	182 ms	2500 KB	Output is correct
61	Correct	198 ms	2536 KB	Output is correct
62	Correct	182 ms	2672 KB	Output is correct
63	Correct	205 ms	2576 KB	Output is correct
64	Correct	177 ms	2480 KB	Output is correct
65	Correct	1 ms	364 KB	Output is correct
66	Incorrect	1 ms	364 KB	Output isn't correct
67	Halted	0 ms	0 KB	-

Submission #378579

Compilation message

Subtask #1 8.0 / 8.0

Subtask #2 8.0 / 8.0

Subtask #3 15.0 / 15.0

Subtask #4 16.0 / 16.0

Subtask #5 23.0 / 23.0

Subtask #6 0 / 30.0

Subtask #1
8.0 / 8.0

Subtask #2
8.0 / 8.0

Subtask #3
15.0 / 15.0

Subtask #4
16.0 / 16.0

Subtask #5
23.0 / 23.0

Subtask #6
0 / 30.0