답안 #378601

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
378601	2021-03-17T02:09:30 Z	8e7	Chessboard (IZhO18_chessboard)	C++14	100 / 100	810 ms	4708 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{
	ll 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) {
	if (x < 0 || y < 0) return 0;
	ll ret = 0;
	ll cx = x / len, cy = y / len;
	ll lx = x % len, ly = 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 += ly * ((cx + 1) / 2) * len;
	} else {
		ret += ly * (cx / 2) * len;
	}
	if (cx % 2 == 0) {
		ret += lx * ((cy + 1) / 2) * len;
	} else {
		ret += lx * (cy / 2) * len;
	}
	if (((cx + cy) % 2) == 0) ret += lx * ly;
	//cout << x << " " << y << " " << len << " " << ret << endl;
	return ret;
}
ll solve(ll n, ll len) {
	ll val = n * n - wnum(n, n, len);
	//cout << len << endl;
	for (rect a:v) {
		ll wn = wnum(a.x2+1, a.y2+1, len) - wnum(a.x1, a.y2+1, len) - wnum(a.x2+1, a.y1, len) + wnum(a.x1, a.y1, len);
		//cout << a.x1 << " " << a.y1 << " " << wn << endl;
		val += 2 * wn - (a.x2 - a.x1 + 1) * (a.y2 - a.y1 + 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

4 1
4 1 4 4
 */

Subtask #1
8.0 / 8.0

#	결과	실행 시간	메모리	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

Subtask #2
8.0 / 8.0

#	결과	실행 시간	메모리	Grader output
1	Correct	29 ms	2536 KB	Output is correct
2	Correct	8 ms	1516 KB	Output is correct
3	Correct	18 ms	2536 KB	Output is correct
4	Correct	21 ms	2536 KB	Output is correct
5	Correct	25 ms	2536 KB	Output is correct
6	Correct	17 ms	2536 KB	Output is correct
7	Correct	4 ms	752 KB	Output is correct
8	Correct	17 ms	2536 KB	Output is correct
9	Correct	43 ms	4580 KB	Output is correct
10	Correct	23 ms	2536 KB	Output is correct

Subtask #3
15.0 / 15.0

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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	14 ms	1516 KB	Output is correct
17	Correct	37 ms	4600 KB	Output is correct
18	Correct	51 ms	4580 KB	Output is correct
19	Correct	161 ms	4580 KB	Output is correct
20	Correct	182 ms	4580 KB	Output is correct
21	Correct	32 ms	4580 KB	Output is correct
22	Correct	1 ms	364 KB	Output is correct
23	Correct	33 ms	2536 KB	Output is correct
24	Correct	46 ms	4580 KB	Output is correct
25	Correct	7 ms	1008 KB	Output is correct
26	Correct	28 ms	2536 KB	Output is correct
27	Correct	43 ms	4580 KB	Output is correct
28	Correct	49 ms	4580 KB	Output is correct
29	Correct	14 ms	2536 KB	Output is correct
30	Correct	2 ms	492 KB	Output is correct

Subtask #5
23.0 / 23.0

#	결과	실행 시간	메모리	Grader output
1	Correct	29 ms	2536 KB	Output is correct
2	Correct	8 ms	1516 KB	Output is correct
3	Correct	18 ms	2536 KB	Output is correct
4	Correct	21 ms	2536 KB	Output is correct
5	Correct	25 ms	2536 KB	Output is correct
6	Correct	17 ms	2536 KB	Output is correct
7	Correct	4 ms	752 KB	Output is correct
8	Correct	17 ms	2536 KB	Output is correct
9	Correct	43 ms	4580 KB	Output is correct
10	Correct	23 ms	2536 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	14 ms	1516 KB	Output is correct
27	Correct	37 ms	4600 KB	Output is correct
28	Correct	51 ms	4580 KB	Output is correct
29	Correct	161 ms	4580 KB	Output is correct
30	Correct	182 ms	4580 KB	Output is correct
31	Correct	32 ms	4580 KB	Output is correct
32	Correct	1 ms	364 KB	Output is correct
33	Correct	33 ms	2536 KB	Output is correct
34	Correct	46 ms	4580 KB	Output is correct
35	Correct	7 ms	1008 KB	Output is correct
36	Correct	28 ms	2536 KB	Output is correct
37	Correct	43 ms	4580 KB	Output is correct
38	Correct	49 ms	4580 KB	Output is correct
39	Correct	14 ms	2536 KB	Output is correct
40	Correct	2 ms	492 KB	Output is correct
41	Correct	147 ms	4580 KB	Output is correct
42	Correct	54 ms	4580 KB	Output is correct
43	Correct	88 ms	4580 KB	Output is correct
44	Correct	54 ms	4580 KB	Output is correct
45	Correct	45 ms	4580 KB	Output is correct
46	Correct	164 ms	4580 KB	Output is correct
47	Correct	40 ms	4580 KB	Output is correct
48	Correct	71 ms	4580 KB	Output is correct
49	Correct	65 ms	4580 KB	Output is correct
50	Correct	748 ms	4580 KB	Output is correct
51	Correct	760 ms	4580 KB	Output is correct
52	Correct	719 ms	4580 KB	Output is correct
53	Correct	794 ms	4580 KB	Output is correct
54	Correct	710 ms	4580 KB	Output is correct
55	Correct	810 ms	4580 KB	Output is correct
56	Correct	686 ms	4580 KB	Output is correct

Subtask #6
30.0 / 30.0

#	결과	실행 시간	메모리	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	29 ms	2536 KB	Output is correct
10	Correct	8 ms	1516 KB	Output is correct
11	Correct	18 ms	2536 KB	Output is correct
12	Correct	21 ms	2536 KB	Output is correct
13	Correct	25 ms	2536 KB	Output is correct
14	Correct	17 ms	2536 KB	Output is correct
15	Correct	4 ms	752 KB	Output is correct
16	Correct	17 ms	2536 KB	Output is correct
17	Correct	43 ms	4580 KB	Output is correct
18	Correct	23 ms	2536 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	14 ms	1516 KB	Output is correct
35	Correct	37 ms	4600 KB	Output is correct
36	Correct	51 ms	4580 KB	Output is correct
37	Correct	161 ms	4580 KB	Output is correct
38	Correct	182 ms	4580 KB	Output is correct
39	Correct	32 ms	4580 KB	Output is correct
40	Correct	1 ms	364 KB	Output is correct
41	Correct	33 ms	2536 KB	Output is correct
42	Correct	46 ms	4580 KB	Output is correct
43	Correct	7 ms	1008 KB	Output is correct
44	Correct	28 ms	2536 KB	Output is correct
45	Correct	43 ms	4580 KB	Output is correct
46	Correct	49 ms	4580 KB	Output is correct
47	Correct	14 ms	2536 KB	Output is correct
48	Correct	2 ms	492 KB	Output is correct
49	Correct	147 ms	4580 KB	Output is correct
50	Correct	54 ms	4580 KB	Output is correct
51	Correct	88 ms	4580 KB	Output is correct
52	Correct	54 ms	4580 KB	Output is correct
53	Correct	45 ms	4580 KB	Output is correct
54	Correct	164 ms	4580 KB	Output is correct
55	Correct	40 ms	4580 KB	Output is correct
56	Correct	71 ms	4580 KB	Output is correct
57	Correct	65 ms	4580 KB	Output is correct
58	Correct	748 ms	4580 KB	Output is correct
59	Correct	760 ms	4580 KB	Output is correct
60	Correct	719 ms	4580 KB	Output is correct
61	Correct	794 ms	4580 KB	Output is correct
62	Correct	710 ms	4580 KB	Output is correct
63	Correct	810 ms	4580 KB	Output is correct
64	Correct	686 ms	4580 KB	Output is correct
65	Correct	1 ms	364 KB	Output is correct
66	Correct	1 ms	364 KB	Output is correct
67	Correct	750 ms	4580 KB	Output is correct
68	Correct	743 ms	4580 KB	Output is correct
69	Correct	676 ms	4580 KB	Output is correct
70	Correct	735 ms	4580 KB	Output is correct
71	Correct	716 ms	4580 KB	Output is correct
72	Correct	714 ms	4580 KB	Output is correct
73	Correct	691 ms	4580 KB	Output is correct
74	Correct	743 ms	4580 KB	Output is correct
75	Correct	734 ms	4580 KB	Output is correct
76	Correct	767 ms	4580 KB	Output is correct
77	Correct	128 ms	4580 KB	Output is correct
78	Correct	53 ms	4580 KB	Output is correct
79	Correct	91 ms	4580 KB	Output is correct
80	Correct	95 ms	4580 KB	Output is correct
81	Correct	88 ms	4580 KB	Output is correct
82	Correct	79 ms	4580 KB	Output is correct
83	Correct	63 ms	4580 KB	Output is correct
84	Correct	453 ms	4708 KB	Output is correct
85	Correct	792 ms	4580 KB	Output is correct
86	Correct	1 ms	364 KB	Output is correct
87	Correct	1 ms	364 KB	Output is correct
88	Correct	801 ms	4640 KB	Output is correct
89	Correct	151 ms	1516 KB	Output is correct
90	Correct	1 ms	364 KB	Output is correct

답안 #378601

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 30.0 / 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
30.0 / 30.0