답안 #68105 :: oj.uz

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
68105	2018-08-15T23:31:25 Z	MatheusLealV	Chessboard (IZhO18_chessboard)	C++17	100 / 100	1169 ms	47424 KB

chessboard

#include <bits/stdc++.h>
#define N 100050
#define f first
#define s second
using namespace std;
typedef pair<int, int> pii;
typedef long long ll;

ll n, k, x[N], y[N], xf[N], yf[N];

long long ans = (2000000000000000000ll);

vector<ll> d;

inline ll conta(ll x, ll y, ll r)
{
	x ++, y ++;

	ll tx = (x/r), ty = (y/r);

	int rx = (tx % 2 == 0 ? 1 : 0), ry = (ty % 2 == 0 ? 1 : 0);

	ll xo = ((tx + 1)/2)*r + (rx ? x % r : 0);

	ll xi = (x - xo);

	ll yo = ((ty + 1)/2)*r + (ry ? y % r : 0);

	ll yi = (y - yo);

	return xo*yo + xi*yi;
}

inline ll custo(ll xi, ll yi, ll xii, ll yii, ll r)
{
	ll C = conta(xii, yii, r) - conta(xi - 1, yii, r) - conta(xii, yi - 1, r) + conta(xi - 1, yi - 1, r);

	return C;
}

int main()
{
	ios::sync_with_stdio(false); cin.tie(0);

	cin>>n>>k;

	for(int i = 1; i <= k; i++) cin>>x[i]>>y[i]>>xf[i]>>yf[i];

	for(int i = 1; i <= k; i++) 
	{
		x[i] --, y[i] --, xf[i] --, yf[i] --;

		if(x[i] > xf[i]) swap(x[i], xf[i]);

		if(y[i] > yf[i]) swap(y[i], yf[i]);
	}

	for(int i = 1; i <= sqrt(n); i++)
	{
		if((n % i) != 0) continue;

		d.push_back(i);

		if(i != n/i) d.push_back(n/i);
	}

	for(auto r: d)
	{	
		ll pretocerto = 0, pretoerrado = 0, tot;

		if(r == n) continue;

		tot = ( ((n/r) * (n/r)) + 1LL)/2LL;

		tot = (tot * r * r); 

		for(int i = 1; i <= k; i++)
		{
			ll S = custo(x[i], y[i], xf[i], yf[i], r);

			//cout<<"CUSTO "<<x[i]<<" "<<y[i]<<" "<<xf[i]<<" "<<yf[i]<<" = "<<S<<"\n";

			pretocerto += S;

			pretoerrado += (xf[i] - x[i] + 1) * (yf[i] - y[i] + 1) - S;
		}

		ans = min(ans, tot - pretocerto + pretoerrado);

		tot = ( ((n/r) * (n/r)))/2LL;

		tot = (tot * r * r); 

		ans = min(ans, tot + pretocerto - pretoerrado);

	}

	cout<<ans<<"\n";
}

Subtask #1
8.0 / 8.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	248 KB	Output is correct
2	Correct	2 ms	484 KB	Output is correct
3	Correct	2 ms	484 KB	Output is correct
4	Correct	2 ms	484 KB	Output is correct
5	Correct	2 ms	484 KB	Output is correct
6	Correct	2 ms	484 KB	Output is correct
7	Correct	3 ms	596 KB	Output is correct
8	Correct	3 ms	656 KB	Output is correct

Subtask #2
8.0 / 8.0

#	결과	실행 시간	메모리	Grader output
1	Correct	35 ms	2480 KB	Output is correct
2	Correct	13 ms	2480 KB	Output is correct
3	Correct	23 ms	2480 KB	Output is correct
4	Correct	38 ms	2480 KB	Output is correct
5	Correct	44 ms	2480 KB	Output is correct
6	Correct	32 ms	2480 KB	Output is correct
7	Correct	8 ms	2480 KB	Output is correct
8	Correct	21 ms	2480 KB	Output is correct
9	Correct	56 ms	3436 KB	Output is correct
10	Correct	31 ms	3436 KB	Output is correct

Subtask #3
15.0 / 15.0

#	결과	실행 시간	메모리	Grader output
1	Correct	3 ms	3436 KB	Output is correct
2	Correct	2 ms	3436 KB	Output is correct
3	Correct	2 ms	3436 KB	Output is correct
4	Correct	4 ms	3436 KB	Output is correct
5	Correct	3 ms	3436 KB	Output is correct
6	Correct	3 ms	3436 KB	Output is correct
7	Correct	2 ms	3436 KB	Output is correct
8	Correct	3 ms	3436 KB	Output is correct
9	Correct	3 ms	3436 KB	Output is correct
10	Correct	2 ms	3436 KB	Output is correct
11	Correct	3 ms	3436 KB	Output is correct
12	Correct	2 ms	3436 KB	Output is correct
13	Correct	3 ms	3436 KB	Output is correct
14	Correct	4 ms	3436 KB	Output is correct
15	Correct	4 ms	3436 KB	Output is correct

Subtask #4
16.0 / 16.0

#	결과	실행 시간	메모리	Grader output
1	Correct	3 ms	3436 KB	Output is correct
2	Correct	2 ms	3436 KB	Output is correct
3	Correct	2 ms	3436 KB	Output is correct
4	Correct	4 ms	3436 KB	Output is correct
5	Correct	3 ms	3436 KB	Output is correct
6	Correct	3 ms	3436 KB	Output is correct
7	Correct	2 ms	3436 KB	Output is correct
8	Correct	3 ms	3436 KB	Output is correct
9	Correct	3 ms	3436 KB	Output is correct
10	Correct	2 ms	3436 KB	Output is correct
11	Correct	3 ms	3436 KB	Output is correct
12	Correct	2 ms	3436 KB	Output is correct
13	Correct	3 ms	3436 KB	Output is correct
14	Correct	4 ms	3436 KB	Output is correct
15	Correct	4 ms	3436 KB	Output is correct
16	Correct	23 ms	3436 KB	Output is correct
17	Correct	48 ms	3436 KB	Output is correct
18	Correct	61 ms	3708 KB	Output is correct
19	Correct	249 ms	3708 KB	Output is correct
20	Correct	285 ms	3836 KB	Output is correct
21	Correct	36 ms	3836 KB	Output is correct
22	Correct	3 ms	3836 KB	Output is correct
23	Correct	43 ms	3836 KB	Output is correct
24	Correct	57 ms	3836 KB	Output is correct
25	Correct	11 ms	3836 KB	Output is correct
26	Correct	56 ms	3836 KB	Output is correct
27	Correct	84 ms	3836 KB	Output is correct
28	Correct	58 ms	3836 KB	Output is correct
29	Correct	27 ms	3836 KB	Output is correct
30	Correct	4 ms	3836 KB	Output is correct

Subtask #5
23.0 / 23.0

#	결과	실행 시간	메모리	Grader output
1	Correct	35 ms	2480 KB	Output is correct
2	Correct	13 ms	2480 KB	Output is correct
3	Correct	23 ms	2480 KB	Output is correct
4	Correct	38 ms	2480 KB	Output is correct
5	Correct	44 ms	2480 KB	Output is correct
6	Correct	32 ms	2480 KB	Output is correct
7	Correct	8 ms	2480 KB	Output is correct
8	Correct	21 ms	2480 KB	Output is correct
9	Correct	56 ms	3436 KB	Output is correct
10	Correct	31 ms	3436 KB	Output is correct
11	Correct	3 ms	3436 KB	Output is correct
12	Correct	2 ms	3436 KB	Output is correct
13	Correct	2 ms	3436 KB	Output is correct
14	Correct	4 ms	3436 KB	Output is correct
15	Correct	3 ms	3436 KB	Output is correct
16	Correct	3 ms	3436 KB	Output is correct
17	Correct	2 ms	3436 KB	Output is correct
18	Correct	3 ms	3436 KB	Output is correct
19	Correct	3 ms	3436 KB	Output is correct
20	Correct	2 ms	3436 KB	Output is correct
21	Correct	3 ms	3436 KB	Output is correct
22	Correct	2 ms	3436 KB	Output is correct
23	Correct	3 ms	3436 KB	Output is correct
24	Correct	4 ms	3436 KB	Output is correct
25	Correct	4 ms	3436 KB	Output is correct
26	Correct	23 ms	3436 KB	Output is correct
27	Correct	48 ms	3436 KB	Output is correct
28	Correct	61 ms	3708 KB	Output is correct
29	Correct	249 ms	3708 KB	Output is correct
30	Correct	285 ms	3836 KB	Output is correct
31	Correct	36 ms	3836 KB	Output is correct
32	Correct	3 ms	3836 KB	Output is correct
33	Correct	43 ms	3836 KB	Output is correct
34	Correct	57 ms	3836 KB	Output is correct
35	Correct	11 ms	3836 KB	Output is correct
36	Correct	56 ms	3836 KB	Output is correct
37	Correct	84 ms	3836 KB	Output is correct
38	Correct	58 ms	3836 KB	Output is correct
39	Correct	27 ms	3836 KB	Output is correct
40	Correct	4 ms	3836 KB	Output is correct
41	Correct	217 ms	3836 KB	Output is correct
42	Correct	73 ms	3836 KB	Output is correct
43	Correct	110 ms	3836 KB	Output is correct
44	Correct	99 ms	3836 KB	Output is correct
45	Correct	60 ms	3836 KB	Output is correct
46	Correct	271 ms	3836 KB	Output is correct
47	Correct	48 ms	3836 KB	Output is correct
48	Correct	96 ms	3836 KB	Output is correct
49	Correct	60 ms	3836 KB	Output is correct
50	Correct	1042 ms	3836 KB	Output is correct
51	Correct	1028 ms	3836 KB	Output is correct
52	Correct	1002 ms	3836 KB	Output is correct
53	Correct	1169 ms	3836 KB	Output is correct
54	Correct	1051 ms	3836 KB	Output is correct
55	Correct	1151 ms	3836 KB	Output is correct
56	Correct	1053 ms	3836 KB	Output is correct

Subtask #6
30.0 / 30.0

#	결과	실행 시간	메모리	Grader output
1	Correct	2 ms	248 KB	Output is correct
2	Correct	2 ms	484 KB	Output is correct
3	Correct	2 ms	484 KB	Output is correct
4	Correct	2 ms	484 KB	Output is correct
5	Correct	2 ms	484 KB	Output is correct
6	Correct	2 ms	484 KB	Output is correct
7	Correct	3 ms	596 KB	Output is correct
8	Correct	3 ms	656 KB	Output is correct
9	Correct	35 ms	2480 KB	Output is correct
10	Correct	13 ms	2480 KB	Output is correct
11	Correct	23 ms	2480 KB	Output is correct
12	Correct	38 ms	2480 KB	Output is correct
13	Correct	44 ms	2480 KB	Output is correct
14	Correct	32 ms	2480 KB	Output is correct
15	Correct	8 ms	2480 KB	Output is correct
16	Correct	21 ms	2480 KB	Output is correct
17	Correct	56 ms	3436 KB	Output is correct
18	Correct	31 ms	3436 KB	Output is correct
19	Correct	3 ms	3436 KB	Output is correct
20	Correct	2 ms	3436 KB	Output is correct
21	Correct	2 ms	3436 KB	Output is correct
22	Correct	4 ms	3436 KB	Output is correct
23	Correct	3 ms	3436 KB	Output is correct
24	Correct	3 ms	3436 KB	Output is correct
25	Correct	2 ms	3436 KB	Output is correct
26	Correct	3 ms	3436 KB	Output is correct
27	Correct	3 ms	3436 KB	Output is correct
28	Correct	2 ms	3436 KB	Output is correct
29	Correct	3 ms	3436 KB	Output is correct
30	Correct	2 ms	3436 KB	Output is correct
31	Correct	3 ms	3436 KB	Output is correct
32	Correct	4 ms	3436 KB	Output is correct
33	Correct	4 ms	3436 KB	Output is correct
34	Correct	23 ms	3436 KB	Output is correct
35	Correct	48 ms	3436 KB	Output is correct
36	Correct	61 ms	3708 KB	Output is correct
37	Correct	249 ms	3708 KB	Output is correct
38	Correct	285 ms	3836 KB	Output is correct
39	Correct	36 ms	3836 KB	Output is correct
40	Correct	3 ms	3836 KB	Output is correct
41	Correct	43 ms	3836 KB	Output is correct
42	Correct	57 ms	3836 KB	Output is correct
43	Correct	11 ms	3836 KB	Output is correct
44	Correct	56 ms	3836 KB	Output is correct
45	Correct	84 ms	3836 KB	Output is correct
46	Correct	58 ms	3836 KB	Output is correct
47	Correct	27 ms	3836 KB	Output is correct
48	Correct	4 ms	3836 KB	Output is correct
49	Correct	217 ms	3836 KB	Output is correct
50	Correct	73 ms	3836 KB	Output is correct
51	Correct	110 ms	3836 KB	Output is correct
52	Correct	99 ms	3836 KB	Output is correct
53	Correct	60 ms	3836 KB	Output is correct
54	Correct	271 ms	3836 KB	Output is correct
55	Correct	48 ms	3836 KB	Output is correct
56	Correct	96 ms	3836 KB	Output is correct
57	Correct	60 ms	3836 KB	Output is correct
58	Correct	1042 ms	3836 KB	Output is correct
59	Correct	1028 ms	3836 KB	Output is correct
60	Correct	1002 ms	3836 KB	Output is correct
61	Correct	1169 ms	3836 KB	Output is correct
62	Correct	1051 ms	3836 KB	Output is correct
63	Correct	1151 ms	3836 KB	Output is correct
64	Correct	1053 ms	3836 KB	Output is correct
65	Correct	2 ms	3836 KB	Output is correct
66	Correct	3 ms	3836 KB	Output is correct
67	Correct	1069 ms	5876 KB	Output is correct
68	Correct	1037 ms	8168 KB	Output is correct
69	Correct	922 ms	9764 KB	Output is correct
70	Correct	971 ms	12136 KB	Output is correct
71	Correct	929 ms	14292 KB	Output is correct
72	Correct	984 ms	16336 KB	Output is correct
73	Correct	946 ms	18328 KB	Output is correct
74	Correct	1031 ms	20868 KB	Output is correct
75	Correct	979 ms	22840 KB	Output is correct
76	Correct	1046 ms	25208 KB	Output is correct
77	Correct	194 ms	27836 KB	Output is correct
78	Correct	70 ms	29480 KB	Output is correct
79	Correct	134 ms	31420 KB	Output is correct
80	Correct	140 ms	33580 KB	Output is correct
81	Correct	115 ms	35364 KB	Output is correct
82	Correct	99 ms	38032 KB	Output is correct
83	Correct	75 ms	39812 KB	Output is correct
84	Correct	615 ms	42404 KB	Output is correct
85	Correct	1084 ms	44968 KB	Output is correct
86	Correct	4 ms	44968 KB	Output is correct
87	Correct	2 ms	44968 KB	Output is correct
88	Correct	1067 ms	47424 KB	Output is correct
89	Correct	230 ms	47424 KB	Output is correct
90	Correct	2 ms	47424 KB	Output is correct

답안 #68105

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