답안 #41171 :: oj.uz

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
41171	2018-02-13T09:08:34 Z	aome	Chessboard (IZhO18_chessboard)	C++14	100 / 100	551 ms	104812 KB

chessboard

#include <bits/stdc++.h>

using namespace std;

const int N = 100005;

struct Rec {
	int x1, y1, x2, y2;
} rec[N];

int n, m;
long long res = 1e18;

void cal(int x, int l, int r, int *cnt) {
	cnt[0] = cnt[1] = 0;
	if (l / x != r / x) {
		cnt[0] += ( (r / x - 1) / 2 - l / x / 2 ) * x;
		if (r / x % 2 == 0) cnt[0] += r - r / x * x + 1;
		if (l / x % 2 == 0) cnt[0] += (l / x + 1) * x - l;
	}
	else {
		if (l / x % 2 == 0) cnt[0] += r - l + 1;
	}
	cnt[1] = r - l + 1 - cnt[0];
	// cout << "# " << cnt[0] << ' ' << cnt[1] << '\n';
}

void solve(int fix) {
	long long val1 = 0, val2 = 0;
	// change all white -> black
	val1 = 1LL * (n / fix) * (n / fix) / 2 * fix * fix;
	val2 = 1LL * n * n - val1;
	// cout << "#val " << val1 << ' ' << val2 << '\n';
	for (int i = 1; i <= m; ++i) {
		int cntx[2], cnty[2];
		// cout << "#X\n";
		cal(fix, rec[i].x1, rec[i].x2, cntx);
		// cout << "#Y\n";
		cal(fix, rec[i].y1, rec[i].y2, cnty);
		val1 += 1LL * cntx[0] * cnty[0] + 1LL * cntx[1] * cnty[1]; // black -> white
		val1 -= 1LL * cntx[0] * cnty[1] + 1LL * cntx[1] * cnty[0]; // black -> black
		val2 += 1LL * cntx[0] * cnty[1] + 1LL * cntx[1] * cnty[0]; // black -> white
		val2 -= 1LL * cntx[0] * cnty[0] + 1LL * cntx[1] * cnty[1]; // black -> black
	}
	// cout << "#at " << fix << ' ' << val1 << ' ' << val2 << '\n'; 
	res = min(res, min(val1, val2));
}

int main() {
	ios::sync_with_stdio(false);
	cin >> n >> m;
	for (int i = 1; i <= m; ++i) {
		cin >> rec[i].x1 >> rec[i].y1 >> rec[i].x2 >> rec[i].y2;
		rec[i].x1--, rec[i].x2--, rec[i].y1--, rec[i].y2--;
	}
	// solve(2);
	for (int i = 1; i < n; ++i) {
		if (n % i == 0) solve(i);
	}
	cout << res;
}

Subtask #1
8.0 / 8.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	248 KB	Output is correct
2	Correct	1 ms	484 KB	Output is correct
3	Correct	1 ms	568 KB	Output is correct
4	Correct	1 ms	568 KB	Output is correct
5	Correct	1 ms	648 KB	Output is correct
6	Correct	1 ms	648 KB	Output is correct
7	Correct	1 ms	648 KB	Output is correct
8	Correct	1 ms	648 KB	Output is correct

Subtask #2
8.0 / 8.0

#	결과	실행 시간	메모리	Grader output
1	Correct	28 ms	3052 KB	Output is correct
2	Correct	9 ms	3052 KB	Output is correct
3	Correct	19 ms	4060 KB	Output is correct
4	Correct	22 ms	5052 KB	Output is correct
5	Correct	24 ms	6392 KB	Output is correct
6	Correct	18 ms	6932 KB	Output is correct
7	Correct	5 ms	6932 KB	Output is correct
8	Correct	17 ms	8048 KB	Output is correct
9	Correct	43 ms	10872 KB	Output is correct
10	Correct	23 ms	11460 KB	Output is correct

Subtask #3
15.0 / 15.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	11460 KB	Output is correct
2	Correct	1 ms	11460 KB	Output is correct
3	Correct	1 ms	11460 KB	Output is correct
4	Correct	2 ms	11460 KB	Output is correct
5	Correct	2 ms	11460 KB	Output is correct
6	Correct	2 ms	11460 KB	Output is correct
7	Correct	2 ms	11460 KB	Output is correct
8	Correct	2 ms	11460 KB	Output is correct
9	Correct	2 ms	11460 KB	Output is correct
10	Correct	2 ms	11460 KB	Output is correct
11	Correct	2 ms	11460 KB	Output is correct
12	Correct	2 ms	11460 KB	Output is correct
13	Correct	2 ms	11460 KB	Output is correct
14	Correct	2 ms	11460 KB	Output is correct
15	Correct	2 ms	11460 KB	Output is correct

Subtask #4
16.0 / 16.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	11460 KB	Output is correct
2	Correct	1 ms	11460 KB	Output is correct
3	Correct	1 ms	11460 KB	Output is correct
4	Correct	2 ms	11460 KB	Output is correct
5	Correct	2 ms	11460 KB	Output is correct
6	Correct	2 ms	11460 KB	Output is correct
7	Correct	2 ms	11460 KB	Output is correct
8	Correct	2 ms	11460 KB	Output is correct
9	Correct	2 ms	11460 KB	Output is correct
10	Correct	2 ms	11460 KB	Output is correct
11	Correct	2 ms	11460 KB	Output is correct
12	Correct	2 ms	11460 KB	Output is correct
13	Correct	2 ms	11460 KB	Output is correct
14	Correct	2 ms	11460 KB	Output is correct
15	Correct	2 ms	11460 KB	Output is correct
16	Correct	13 ms	11744 KB	Output is correct
17	Correct	33 ms	13996 KB	Output is correct
18	Correct	46 ms	15724 KB	Output is correct
19	Correct	118 ms	17092 KB	Output is correct
20	Correct	128 ms	18900 KB	Output is correct
21	Correct	33 ms	19856 KB	Output is correct
22	Correct	2 ms	19856 KB	Output is correct
23	Correct	30 ms	19896 KB	Output is correct
24	Correct	48 ms	22256 KB	Output is correct
25	Correct	9 ms	22256 KB	Output is correct
26	Correct	31 ms	22712 KB	Output is correct
27	Correct	36 ms	23984 KB	Output is correct
28	Correct	43 ms	25980 KB	Output is correct
29	Correct	14 ms	25980 KB	Output is correct
30	Correct	3 ms	25980 KB	Output is correct

Subtask #5
23.0 / 23.0

#	결과	실행 시간	메모리	Grader output
1	Correct	28 ms	3052 KB	Output is correct
2	Correct	9 ms	3052 KB	Output is correct
3	Correct	19 ms	4060 KB	Output is correct
4	Correct	22 ms	5052 KB	Output is correct
5	Correct	24 ms	6392 KB	Output is correct
6	Correct	18 ms	6932 KB	Output is correct
7	Correct	5 ms	6932 KB	Output is correct
8	Correct	17 ms	8048 KB	Output is correct
9	Correct	43 ms	10872 KB	Output is correct
10	Correct	23 ms	11460 KB	Output is correct
11	Correct	2 ms	11460 KB	Output is correct
12	Correct	1 ms	11460 KB	Output is correct
13	Correct	1 ms	11460 KB	Output is correct
14	Correct	2 ms	11460 KB	Output is correct
15	Correct	2 ms	11460 KB	Output is correct
16	Correct	2 ms	11460 KB	Output is correct
17	Correct	2 ms	11460 KB	Output is correct
18	Correct	2 ms	11460 KB	Output is correct
19	Correct	2 ms	11460 KB	Output is correct
20	Correct	2 ms	11460 KB	Output is correct
21	Correct	2 ms	11460 KB	Output is correct
22	Correct	2 ms	11460 KB	Output is correct
23	Correct	2 ms	11460 KB	Output is correct
24	Correct	2 ms	11460 KB	Output is correct
25	Correct	2 ms	11460 KB	Output is correct
26	Correct	13 ms	11744 KB	Output is correct
27	Correct	33 ms	13996 KB	Output is correct
28	Correct	46 ms	15724 KB	Output is correct
29	Correct	118 ms	17092 KB	Output is correct
30	Correct	128 ms	18900 KB	Output is correct
31	Correct	33 ms	19856 KB	Output is correct
32	Correct	2 ms	19856 KB	Output is correct
33	Correct	30 ms	19896 KB	Output is correct
34	Correct	48 ms	22256 KB	Output is correct
35	Correct	9 ms	22256 KB	Output is correct
36	Correct	31 ms	22712 KB	Output is correct
37	Correct	36 ms	23984 KB	Output is correct
38	Correct	43 ms	25980 KB	Output is correct
39	Correct	14 ms	25980 KB	Output is correct
40	Correct	3 ms	25980 KB	Output is correct
41	Correct	102 ms	28384 KB	Output is correct
42	Correct	48 ms	30792 KB	Output is correct
43	Correct	68 ms	32668 KB	Output is correct
44	Correct	50 ms	34944 KB	Output is correct
45	Correct	47 ms	37372 KB	Output is correct
46	Correct	111 ms	39468 KB	Output is correct
47	Correct	47 ms	41452 KB	Output is correct
48	Correct	58 ms	43760 KB	Output is correct
49	Correct	43 ms	45592 KB	Output is correct
50	Correct	461 ms	47968 KB	Output is correct
51	Correct	477 ms	50316 KB	Output is correct
52	Correct	445 ms	52228 KB	Output is correct
53	Correct	474 ms	54764 KB	Output is correct
54	Correct	450 ms	56820 KB	Output is correct
55	Correct	492 ms	59328 KB	Output is correct
56	Correct	436 ms	61324 KB	Output is correct

Subtask #6
30.0 / 30.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	248 KB	Output is correct
2	Correct	1 ms	484 KB	Output is correct
3	Correct	1 ms	568 KB	Output is correct
4	Correct	1 ms	568 KB	Output is correct
5	Correct	1 ms	648 KB	Output is correct
6	Correct	1 ms	648 KB	Output is correct
7	Correct	1 ms	648 KB	Output is correct
8	Correct	1 ms	648 KB	Output is correct
9	Correct	28 ms	3052 KB	Output is correct
10	Correct	9 ms	3052 KB	Output is correct
11	Correct	19 ms	4060 KB	Output is correct
12	Correct	22 ms	5052 KB	Output is correct
13	Correct	24 ms	6392 KB	Output is correct
14	Correct	18 ms	6932 KB	Output is correct
15	Correct	5 ms	6932 KB	Output is correct
16	Correct	17 ms	8048 KB	Output is correct
17	Correct	43 ms	10872 KB	Output is correct
18	Correct	23 ms	11460 KB	Output is correct
19	Correct	2 ms	11460 KB	Output is correct
20	Correct	1 ms	11460 KB	Output is correct
21	Correct	1 ms	11460 KB	Output is correct
22	Correct	2 ms	11460 KB	Output is correct
23	Correct	2 ms	11460 KB	Output is correct
24	Correct	2 ms	11460 KB	Output is correct
25	Correct	2 ms	11460 KB	Output is correct
26	Correct	2 ms	11460 KB	Output is correct
27	Correct	2 ms	11460 KB	Output is correct
28	Correct	2 ms	11460 KB	Output is correct
29	Correct	2 ms	11460 KB	Output is correct
30	Correct	2 ms	11460 KB	Output is correct
31	Correct	2 ms	11460 KB	Output is correct
32	Correct	2 ms	11460 KB	Output is correct
33	Correct	2 ms	11460 KB	Output is correct
34	Correct	13 ms	11744 KB	Output is correct
35	Correct	33 ms	13996 KB	Output is correct
36	Correct	46 ms	15724 KB	Output is correct
37	Correct	118 ms	17092 KB	Output is correct
38	Correct	128 ms	18900 KB	Output is correct
39	Correct	33 ms	19856 KB	Output is correct
40	Correct	2 ms	19856 KB	Output is correct
41	Correct	30 ms	19896 KB	Output is correct
42	Correct	48 ms	22256 KB	Output is correct
43	Correct	9 ms	22256 KB	Output is correct
44	Correct	31 ms	22712 KB	Output is correct
45	Correct	36 ms	23984 KB	Output is correct
46	Correct	43 ms	25980 KB	Output is correct
47	Correct	14 ms	25980 KB	Output is correct
48	Correct	3 ms	25980 KB	Output is correct
49	Correct	102 ms	28384 KB	Output is correct
50	Correct	48 ms	30792 KB	Output is correct
51	Correct	68 ms	32668 KB	Output is correct
52	Correct	50 ms	34944 KB	Output is correct
53	Correct	47 ms	37372 KB	Output is correct
54	Correct	111 ms	39468 KB	Output is correct
55	Correct	47 ms	41452 KB	Output is correct
56	Correct	58 ms	43760 KB	Output is correct
57	Correct	43 ms	45592 KB	Output is correct
58	Correct	461 ms	47968 KB	Output is correct
59	Correct	477 ms	50316 KB	Output is correct
60	Correct	445 ms	52228 KB	Output is correct
61	Correct	474 ms	54764 KB	Output is correct
62	Correct	450 ms	56820 KB	Output is correct
63	Correct	492 ms	59328 KB	Output is correct
64	Correct	436 ms	61324 KB	Output is correct
65	Correct	1 ms	61324 KB	Output is correct
66	Correct	1 ms	61324 KB	Output is correct
67	Correct	522 ms	63560 KB	Output is correct
68	Correct	512 ms	65760 KB	Output is correct
69	Correct	442 ms	67472 KB	Output is correct
70	Correct	476 ms	69828 KB	Output is correct
71	Correct	481 ms	71884 KB	Output is correct
72	Correct	464 ms	74152 KB	Output is correct
73	Correct	456 ms	76000 KB	Output is correct
74	Correct	516 ms	78304 KB	Output is correct
75	Correct	493 ms	80532 KB	Output is correct
76	Correct	500 ms	82856 KB	Output is correct
77	Correct	129 ms	85296 KB	Output is correct
78	Correct	49 ms	87188 KB	Output is correct
79	Correct	79 ms	89120 KB	Output is correct
80	Correct	79 ms	91496 KB	Output is correct
81	Correct	72 ms	93204 KB	Output is correct
82	Correct	72 ms	95756 KB	Output is correct
83	Correct	53 ms	97584 KB	Output is correct
84	Correct	332 ms	100048 KB	Output is correct
85	Correct	551 ms	102396 KB	Output is correct
86	Correct	2 ms	102396 KB	Output is correct
87	Correct	2 ms	102396 KB	Output is correct
88	Correct	535 ms	104812 KB	Output is correct
89	Correct	104 ms	104812 KB	Output is correct
90	Correct	2 ms	104812 KB	Output is correct

답안 #41171

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