답안 #213343

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
213343	2020-03-25T16:04:33 Z	quocnguyen1012	Chessboard (IZhO18_chessboard)	C++14	100 / 100	840 ms	5884 KB

chessboard

#include <bits/stdc++.h>

#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define int long long

using namespace std;
typedef long long ll;
typedef pair<int, int> ii;

int N, K;
vector<pair<ii, ii>> rect;
ll res = 1e18;

ll sub(int d, int x, int y)
{
  int X = x / d;
  int Y = y / d;
  ll ret = 0;
  if(X % 2 == 0 || Y % 2 == 0)
    ret += 1ll * X * Y / 2 * d * d;
  else
    ret += (1ll * X * Y / 2 + 1) * d * d;
  if (X % 2 == Y % 2) {
		ret += (ll) (x - X * d) * (y - Y * d);
	}
	if (Y % 2 == 0) {
		ret += (ll) (X + 1) / 2 * (y - Y * d) * d;
	}
	else {
		ret += (ll) X / 2 * (y - Y * d) * d;
	}
	if (X % 2 == 0) {
		ret += (ll) (Y + 1) / 2 * (x - X * d) * d;
	}
	else {
		ret += (ll) Y / 2 * (x - X * d) * d;
	}
	return ret;
}

void solve(int d)
{
  ll sum = 0, rem = 0;
  for(auto & all : rect){
    sum += sub(d, all.se.fi, all.se.se) + sub(d, all.fi.fi - 1, all.fi.se - 1)
            - sub(d, all.fi.fi - 1, all.se.se) - sub(d, all.se.fi, all.fi.se - 1);
    rem += 1ll * (all.se.se - all.fi.se + 1) * (all.se.fi - all.fi.fi + 1);
  }
  ll black = sub(d, N, N);
  ll white = N * N - black;
  res = min(res, black + rem - 2 * sum);
  res = min(res, white - rem + 2 * sum);
}

signed main(void)
{
  ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  #ifdef LOCAL
    freopen("A.INP", "r", stdin);
    freopen("A.OUT", "w", stdout);
  #endif // LOCAL
  cin >> N >> K;
  rect.resize(K);
  for(auto & x : rect) cin >> x.fi.fi >> x.fi.se >> x.se.fi >> x.se.se;
  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	5 ms	384 KB	Output is correct
2	Correct	5 ms	384 KB	Output is correct
3	Correct	6 ms	384 KB	Output is correct
4	Correct	5 ms	384 KB	Output is correct
5	Correct	5 ms	384 KB	Output is correct
6	Correct	5 ms	384 KB	Output is correct
7	Correct	5 ms	384 KB	Output is correct
8	Correct	5 ms	384 KB	Output is correct

Subtask #2
8.0 / 8.0

#	결과	실행 시간	메모리	Grader output
1	Correct	36 ms	2304 KB	Output is correct
2	Correct	11 ms	1280 KB	Output is correct
3	Correct	24 ms	2560 KB	Output is correct
4	Correct	24 ms	2688 KB	Output is correct
5	Correct	32 ms	3324 KB	Output is correct
6	Correct	22 ms	2304 KB	Output is correct
7	Correct	9 ms	768 KB	Output is correct
8	Correct	22 ms	2304 KB	Output is correct
9	Correct	47 ms	5240 KB	Output is correct
10	Correct	29 ms	3200 KB	Output is correct

Subtask #3
15.0 / 15.0

#	결과	실행 시간	메모리	Grader output
1	Correct	5 ms	384 KB	Output is correct
2	Correct	5 ms	384 KB	Output is correct
3	Correct	5 ms	384 KB	Output is correct
4	Correct	5 ms	384 KB	Output is correct
5	Correct	5 ms	384 KB	Output is correct
6	Correct	5 ms	384 KB	Output is correct
7	Correct	5 ms	384 KB	Output is correct
8	Correct	5 ms	384 KB	Output is correct
9	Correct	5 ms	384 KB	Output is correct
10	Correct	5 ms	384 KB	Output is correct
11	Correct	5 ms	384 KB	Output is correct
12	Correct	5 ms	384 KB	Output is correct
13	Correct	5 ms	384 KB	Output is correct
14	Correct	5 ms	384 KB	Output is correct
15	Correct	5 ms	384 KB	Output is correct

Subtask #4
16.0 / 16.0

#	결과	실행 시간	메모리	Grader output
1	Correct	5 ms	384 KB	Output is correct
2	Correct	5 ms	384 KB	Output is correct
3	Correct	5 ms	384 KB	Output is correct
4	Correct	5 ms	384 KB	Output is correct
5	Correct	5 ms	384 KB	Output is correct
6	Correct	5 ms	384 KB	Output is correct
7	Correct	5 ms	384 KB	Output is correct
8	Correct	5 ms	384 KB	Output is correct
9	Correct	5 ms	384 KB	Output is correct
10	Correct	5 ms	384 KB	Output is correct
11	Correct	5 ms	384 KB	Output is correct
12	Correct	5 ms	384 KB	Output is correct
13	Correct	5 ms	384 KB	Output is correct
14	Correct	5 ms	384 KB	Output is correct
15	Correct	5 ms	384 KB	Output is correct
16	Correct	18 ms	1280 KB	Output is correct
17	Correct	37 ms	2944 KB	Output is correct
18	Correct	50 ms	3456 KB	Output is correct
19	Correct	184 ms	3072 KB	Output is correct
20	Correct	187 ms	3456 KB	Output is correct
21	Correct	32 ms	2944 KB	Output is correct
22	Correct	5 ms	384 KB	Output is correct
23	Correct	34 ms	1664 KB	Output is correct
24	Correct	46 ms	3328 KB	Output is correct
25	Correct	10 ms	640 KB	Output is correct
26	Correct	32 ms	2176 KB	Output is correct
27	Correct	45 ms	2560 KB	Output is correct
28	Correct	49 ms	3328 KB	Output is correct
29	Correct	16 ms	1408 KB	Output is correct
30	Correct	6 ms	512 KB	Output is correct

Subtask #5
23.0 / 23.0

#	결과	실행 시간	메모리	Grader output
1	Correct	36 ms	2304 KB	Output is correct
2	Correct	11 ms	1280 KB	Output is correct
3	Correct	24 ms	2560 KB	Output is correct
4	Correct	24 ms	2688 KB	Output is correct
5	Correct	32 ms	3324 KB	Output is correct
6	Correct	22 ms	2304 KB	Output is correct
7	Correct	9 ms	768 KB	Output is correct
8	Correct	22 ms	2304 KB	Output is correct
9	Correct	47 ms	5240 KB	Output is correct
10	Correct	29 ms	3200 KB	Output is correct
11	Correct	5 ms	384 KB	Output is correct
12	Correct	5 ms	384 KB	Output is correct
13	Correct	5 ms	384 KB	Output is correct
14	Correct	5 ms	384 KB	Output is correct
15	Correct	5 ms	384 KB	Output is correct
16	Correct	5 ms	384 KB	Output is correct
17	Correct	5 ms	384 KB	Output is correct
18	Correct	5 ms	384 KB	Output is correct
19	Correct	5 ms	384 KB	Output is correct
20	Correct	5 ms	384 KB	Output is correct
21	Correct	5 ms	384 KB	Output is correct
22	Correct	5 ms	384 KB	Output is correct
23	Correct	5 ms	384 KB	Output is correct
24	Correct	5 ms	384 KB	Output is correct
25	Correct	5 ms	384 KB	Output is correct
26	Correct	18 ms	1280 KB	Output is correct
27	Correct	37 ms	2944 KB	Output is correct
28	Correct	50 ms	3456 KB	Output is correct
29	Correct	184 ms	3072 KB	Output is correct
30	Correct	187 ms	3456 KB	Output is correct
31	Correct	32 ms	2944 KB	Output is correct
32	Correct	5 ms	384 KB	Output is correct
33	Correct	34 ms	1664 KB	Output is correct
34	Correct	46 ms	3328 KB	Output is correct
35	Correct	10 ms	640 KB	Output is correct
36	Correct	32 ms	2176 KB	Output is correct
37	Correct	45 ms	2560 KB	Output is correct
38	Correct	49 ms	3328 KB	Output is correct
39	Correct	16 ms	1408 KB	Output is correct
40	Correct	6 ms	512 KB	Output is correct
41	Correct	165 ms	4984 KB	Output is correct
42	Correct	62 ms	5624 KB	Output is correct
43	Correct	96 ms	4984 KB	Output is correct
44	Correct	60 ms	5376 KB	Output is correct
45	Correct	52 ms	5760 KB	Output is correct
46	Correct	178 ms	5496 KB	Output is correct
47	Correct	48 ms	5112 KB	Output is correct
48	Correct	80 ms	5248 KB	Output is correct
49	Correct	56 ms	4984 KB	Output is correct
50	Correct	754 ms	5368 KB	Output is correct
51	Correct	799 ms	5752 KB	Output is correct
52	Correct	744 ms	5368 KB	Output is correct
53	Correct	797 ms	5624 KB	Output is correct
54	Correct	740 ms	5240 KB	Output is correct
55	Correct	826 ms	5880 KB	Output is correct
56	Correct	709 ms	5120 KB	Output is correct

Subtask #6
30.0 / 30.0

#	결과	실행 시간	메모리	Grader output
1	Correct	5 ms	384 KB	Output is correct
2	Correct	5 ms	384 KB	Output is correct
3	Correct	6 ms	384 KB	Output is correct
4	Correct	5 ms	384 KB	Output is correct
5	Correct	5 ms	384 KB	Output is correct
6	Correct	5 ms	384 KB	Output is correct
7	Correct	5 ms	384 KB	Output is correct
8	Correct	5 ms	384 KB	Output is correct
9	Correct	36 ms	2304 KB	Output is correct
10	Correct	11 ms	1280 KB	Output is correct
11	Correct	24 ms	2560 KB	Output is correct
12	Correct	24 ms	2688 KB	Output is correct
13	Correct	32 ms	3324 KB	Output is correct
14	Correct	22 ms	2304 KB	Output is correct
15	Correct	9 ms	768 KB	Output is correct
16	Correct	22 ms	2304 KB	Output is correct
17	Correct	47 ms	5240 KB	Output is correct
18	Correct	29 ms	3200 KB	Output is correct
19	Correct	5 ms	384 KB	Output is correct
20	Correct	5 ms	384 KB	Output is correct
21	Correct	5 ms	384 KB	Output is correct
22	Correct	5 ms	384 KB	Output is correct
23	Correct	5 ms	384 KB	Output is correct
24	Correct	5 ms	384 KB	Output is correct
25	Correct	5 ms	384 KB	Output is correct
26	Correct	5 ms	384 KB	Output is correct
27	Correct	5 ms	384 KB	Output is correct
28	Correct	5 ms	384 KB	Output is correct
29	Correct	5 ms	384 KB	Output is correct
30	Correct	5 ms	384 KB	Output is correct
31	Correct	5 ms	384 KB	Output is correct
32	Correct	5 ms	384 KB	Output is correct
33	Correct	5 ms	384 KB	Output is correct
34	Correct	18 ms	1280 KB	Output is correct
35	Correct	37 ms	2944 KB	Output is correct
36	Correct	50 ms	3456 KB	Output is correct
37	Correct	184 ms	3072 KB	Output is correct
38	Correct	187 ms	3456 KB	Output is correct
39	Correct	32 ms	2944 KB	Output is correct
40	Correct	5 ms	384 KB	Output is correct
41	Correct	34 ms	1664 KB	Output is correct
42	Correct	46 ms	3328 KB	Output is correct
43	Correct	10 ms	640 KB	Output is correct
44	Correct	32 ms	2176 KB	Output is correct
45	Correct	45 ms	2560 KB	Output is correct
46	Correct	49 ms	3328 KB	Output is correct
47	Correct	16 ms	1408 KB	Output is correct
48	Correct	6 ms	512 KB	Output is correct
49	Correct	165 ms	4984 KB	Output is correct
50	Correct	62 ms	5624 KB	Output is correct
51	Correct	96 ms	4984 KB	Output is correct
52	Correct	60 ms	5376 KB	Output is correct
53	Correct	52 ms	5760 KB	Output is correct
54	Correct	178 ms	5496 KB	Output is correct
55	Correct	48 ms	5112 KB	Output is correct
56	Correct	80 ms	5248 KB	Output is correct
57	Correct	56 ms	4984 KB	Output is correct
58	Correct	754 ms	5368 KB	Output is correct
59	Correct	799 ms	5752 KB	Output is correct
60	Correct	744 ms	5368 KB	Output is correct
61	Correct	797 ms	5624 KB	Output is correct
62	Correct	740 ms	5240 KB	Output is correct
63	Correct	826 ms	5880 KB	Output is correct
64	Correct	709 ms	5120 KB	Output is correct
65	Correct	5 ms	384 KB	Output is correct
66	Correct	5 ms	512 KB	Output is correct
67	Correct	784 ms	5496 KB	Output is correct
68	Correct	780 ms	5496 KB	Output is correct
69	Correct	684 ms	4860 KB	Output is correct
70	Correct	762 ms	5368 KB	Output is correct
71	Correct	748 ms	5240 KB	Output is correct
72	Correct	732 ms	5244 KB	Output is correct
73	Correct	721 ms	5112 KB	Output is correct
74	Correct	772 ms	5496 KB	Output is correct
75	Correct	750 ms	5240 KB	Output is correct
76	Correct	793 ms	5624 KB	Output is correct
77	Correct	142 ms	5880 KB	Output is correct
78	Correct	59 ms	5332 KB	Output is correct
79	Correct	101 ms	5112 KB	Output is correct
80	Correct	105 ms	5240 KB	Output is correct
81	Correct	99 ms	4864 KB	Output is correct
82	Correct	85 ms	5624 KB	Output is correct
83	Correct	71 ms	5112 KB	Output is correct
84	Correct	476 ms	5752 KB	Output is correct
85	Correct	821 ms	5752 KB	Output is correct
86	Correct	6 ms	384 KB	Output is correct
87	Correct	5 ms	384 KB	Output is correct
88	Correct	840 ms	5884 KB	Output is correct
89	Correct	163 ms	1408 KB	Output is correct
90	Correct	5 ms	384 KB	Output is correct

답안 #213343

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