답안 #68106 :: oj.uz

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
68106	2018-08-15T23:32:20 Z	MatheusLealV	Chessboard (IZhO18_chessboard)	C++17	100 / 100	1182 ms	3836 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];

ll 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);

			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	3 ms	248 KB	Output is correct
2	Correct	2 ms	356 KB	Output is correct
3	Correct	2 ms	520 KB	Output is correct
4	Correct	2 ms	520 KB	Output is correct
5	Correct	2 ms	520 KB	Output is correct
6	Correct	2 ms	636 KB	Output is correct
7	Correct	3 ms	636 KB	Output is correct
8	Correct	2 ms	636 KB	Output is correct

Subtask #2
8.0 / 8.0

#	결과	실행 시간	메모리	Grader output
1	Correct	37 ms	2480 KB	Output is correct
2	Correct	10 ms	2480 KB	Output is correct
3	Correct	23 ms	2480 KB	Output is correct
4	Correct	27 ms	2480 KB	Output is correct
5	Correct	31 ms	2480 KB	Output is correct
6	Correct	21 ms	2480 KB	Output is correct
7	Correct	6 ms	2480 KB	Output is correct
8	Correct	22 ms	2480 KB	Output is correct
9	Correct	52 ms	3428 KB	Output is correct
10	Correct	30 ms	3428 KB	Output is correct

Subtask #3
15.0 / 15.0

#	결과	실행 시간	메모리	Grader output
1	Correct	3 ms	3428 KB	Output is correct
2	Correct	2 ms	3428 KB	Output is correct
3	Correct	3 ms	3428 KB	Output is correct
4	Correct	3 ms	3428 KB	Output is correct
5	Correct	3 ms	3428 KB	Output is correct
6	Correct	4 ms	3428 KB	Output is correct
7	Correct	4 ms	3428 KB	Output is correct
8	Correct	2 ms	3428 KB	Output is correct
9	Correct	2 ms	3428 KB	Output is correct
10	Correct	2 ms	3428 KB	Output is correct
11	Correct	2 ms	3428 KB	Output is correct
12	Correct	2 ms	3428 KB	Output is correct
13	Correct	3 ms	3428 KB	Output is correct
14	Correct	3 ms	3428 KB	Output is correct
15	Correct	4 ms	3428 KB	Output is correct

Subtask #4
16.0 / 16.0

#	결과	실행 시간	메모리	Grader output
1	Correct	3 ms	3428 KB	Output is correct
2	Correct	2 ms	3428 KB	Output is correct
3	Correct	3 ms	3428 KB	Output is correct
4	Correct	3 ms	3428 KB	Output is correct
5	Correct	3 ms	3428 KB	Output is correct
6	Correct	4 ms	3428 KB	Output is correct
7	Correct	4 ms	3428 KB	Output is correct
8	Correct	2 ms	3428 KB	Output is correct
9	Correct	2 ms	3428 KB	Output is correct
10	Correct	2 ms	3428 KB	Output is correct
11	Correct	2 ms	3428 KB	Output is correct
12	Correct	2 ms	3428 KB	Output is correct
13	Correct	3 ms	3428 KB	Output is correct
14	Correct	3 ms	3428 KB	Output is correct
15	Correct	4 ms	3428 KB	Output is correct
16	Correct	22 ms	3428 KB	Output is correct
17	Correct	48 ms	3428 KB	Output is correct
18	Correct	72 ms	3696 KB	Output is correct
19	Correct	250 ms	3696 KB	Output is correct
20	Correct	265 ms	3696 KB	Output is correct
21	Correct	46 ms	3696 KB	Output is correct
22	Correct	3 ms	3696 KB	Output is correct
23	Correct	43 ms	3696 KB	Output is correct
24	Correct	54 ms	3696 KB	Output is correct
25	Correct	11 ms	3696 KB	Output is correct
26	Correct	44 ms	3696 KB	Output is correct
27	Correct	54 ms	3696 KB	Output is correct
28	Correct	68 ms	3696 KB	Output is correct
29	Correct	18 ms	3696 KB	Output is correct
30	Correct	4 ms	3696 KB	Output is correct

Subtask #5
23.0 / 23.0

#	결과	실행 시간	메모리	Grader output
1	Correct	37 ms	2480 KB	Output is correct
2	Correct	10 ms	2480 KB	Output is correct
3	Correct	23 ms	2480 KB	Output is correct
4	Correct	27 ms	2480 KB	Output is correct
5	Correct	31 ms	2480 KB	Output is correct
6	Correct	21 ms	2480 KB	Output is correct
7	Correct	6 ms	2480 KB	Output is correct
8	Correct	22 ms	2480 KB	Output is correct
9	Correct	52 ms	3428 KB	Output is correct
10	Correct	30 ms	3428 KB	Output is correct
11	Correct	3 ms	3428 KB	Output is correct
12	Correct	2 ms	3428 KB	Output is correct
13	Correct	3 ms	3428 KB	Output is correct
14	Correct	3 ms	3428 KB	Output is correct
15	Correct	3 ms	3428 KB	Output is correct
16	Correct	4 ms	3428 KB	Output is correct
17	Correct	4 ms	3428 KB	Output is correct
18	Correct	2 ms	3428 KB	Output is correct
19	Correct	2 ms	3428 KB	Output is correct
20	Correct	2 ms	3428 KB	Output is correct
21	Correct	2 ms	3428 KB	Output is correct
22	Correct	2 ms	3428 KB	Output is correct
23	Correct	3 ms	3428 KB	Output is correct
24	Correct	3 ms	3428 KB	Output is correct
25	Correct	4 ms	3428 KB	Output is correct
26	Correct	22 ms	3428 KB	Output is correct
27	Correct	48 ms	3428 KB	Output is correct
28	Correct	72 ms	3696 KB	Output is correct
29	Correct	250 ms	3696 KB	Output is correct
30	Correct	265 ms	3696 KB	Output is correct
31	Correct	46 ms	3696 KB	Output is correct
32	Correct	3 ms	3696 KB	Output is correct
33	Correct	43 ms	3696 KB	Output is correct
34	Correct	54 ms	3696 KB	Output is correct
35	Correct	11 ms	3696 KB	Output is correct
36	Correct	44 ms	3696 KB	Output is correct
37	Correct	54 ms	3696 KB	Output is correct
38	Correct	68 ms	3696 KB	Output is correct
39	Correct	18 ms	3696 KB	Output is correct
40	Correct	4 ms	3696 KB	Output is correct
41	Correct	291 ms	3696 KB	Output is correct
42	Correct	70 ms	3696 KB	Output is correct
43	Correct	115 ms	3696 KB	Output is correct
44	Correct	62 ms	3696 KB	Output is correct
45	Correct	60 ms	3696 KB	Output is correct
46	Correct	221 ms	3696 KB	Output is correct
47	Correct	52 ms	3696 KB	Output is correct
48	Correct	102 ms	3696 KB	Output is correct
49	Correct	67 ms	3696 KB	Output is correct
50	Correct	1022 ms	3696 KB	Output is correct
51	Correct	1116 ms	3708 KB	Output is correct
52	Correct	1022 ms	3708 KB	Output is correct
53	Correct	1118 ms	3708 KB	Output is correct
54	Correct	966 ms	3708 KB	Output is correct
55	Correct	1096 ms	3836 KB	Output is correct
56	Correct	1008 ms	3836 KB	Output is correct

Subtask #6
30.0 / 30.0

#	결과	실행 시간	메모리	Grader output
1	Correct	3 ms	248 KB	Output is correct
2	Correct	2 ms	356 KB	Output is correct
3	Correct	2 ms	520 KB	Output is correct
4	Correct	2 ms	520 KB	Output is correct
5	Correct	2 ms	520 KB	Output is correct
6	Correct	2 ms	636 KB	Output is correct
7	Correct	3 ms	636 KB	Output is correct
8	Correct	2 ms	636 KB	Output is correct
9	Correct	37 ms	2480 KB	Output is correct
10	Correct	10 ms	2480 KB	Output is correct
11	Correct	23 ms	2480 KB	Output is correct
12	Correct	27 ms	2480 KB	Output is correct
13	Correct	31 ms	2480 KB	Output is correct
14	Correct	21 ms	2480 KB	Output is correct
15	Correct	6 ms	2480 KB	Output is correct
16	Correct	22 ms	2480 KB	Output is correct
17	Correct	52 ms	3428 KB	Output is correct
18	Correct	30 ms	3428 KB	Output is correct
19	Correct	3 ms	3428 KB	Output is correct
20	Correct	2 ms	3428 KB	Output is correct
21	Correct	3 ms	3428 KB	Output is correct
22	Correct	3 ms	3428 KB	Output is correct
23	Correct	3 ms	3428 KB	Output is correct
24	Correct	4 ms	3428 KB	Output is correct
25	Correct	4 ms	3428 KB	Output is correct
26	Correct	2 ms	3428 KB	Output is correct
27	Correct	2 ms	3428 KB	Output is correct
28	Correct	2 ms	3428 KB	Output is correct
29	Correct	2 ms	3428 KB	Output is correct
30	Correct	2 ms	3428 KB	Output is correct
31	Correct	3 ms	3428 KB	Output is correct
32	Correct	3 ms	3428 KB	Output is correct
33	Correct	4 ms	3428 KB	Output is correct
34	Correct	22 ms	3428 KB	Output is correct
35	Correct	48 ms	3428 KB	Output is correct
36	Correct	72 ms	3696 KB	Output is correct
37	Correct	250 ms	3696 KB	Output is correct
38	Correct	265 ms	3696 KB	Output is correct
39	Correct	46 ms	3696 KB	Output is correct
40	Correct	3 ms	3696 KB	Output is correct
41	Correct	43 ms	3696 KB	Output is correct
42	Correct	54 ms	3696 KB	Output is correct
43	Correct	11 ms	3696 KB	Output is correct
44	Correct	44 ms	3696 KB	Output is correct
45	Correct	54 ms	3696 KB	Output is correct
46	Correct	68 ms	3696 KB	Output is correct
47	Correct	18 ms	3696 KB	Output is correct
48	Correct	4 ms	3696 KB	Output is correct
49	Correct	291 ms	3696 KB	Output is correct
50	Correct	70 ms	3696 KB	Output is correct
51	Correct	115 ms	3696 KB	Output is correct
52	Correct	62 ms	3696 KB	Output is correct
53	Correct	60 ms	3696 KB	Output is correct
54	Correct	221 ms	3696 KB	Output is correct
55	Correct	52 ms	3696 KB	Output is correct
56	Correct	102 ms	3696 KB	Output is correct
57	Correct	67 ms	3696 KB	Output is correct
58	Correct	1022 ms	3696 KB	Output is correct
59	Correct	1116 ms	3708 KB	Output is correct
60	Correct	1022 ms	3708 KB	Output is correct
61	Correct	1118 ms	3708 KB	Output is correct
62	Correct	966 ms	3708 KB	Output is correct
63	Correct	1096 ms	3836 KB	Output is correct
64	Correct	1008 ms	3836 KB	Output is correct
65	Correct	3 ms	3836 KB	Output is correct
66	Correct	4 ms	3836 KB	Output is correct
67	Correct	1127 ms	3836 KB	Output is correct
68	Correct	1077 ms	3836 KB	Output is correct
69	Correct	926 ms	3836 KB	Output is correct
70	Correct	998 ms	3836 KB	Output is correct
71	Correct	926 ms	3836 KB	Output is correct
72	Correct	906 ms	3836 KB	Output is correct
73	Correct	914 ms	3836 KB	Output is correct
74	Correct	1000 ms	3836 KB	Output is correct
75	Correct	939 ms	3836 KB	Output is correct
76	Correct	1042 ms	3836 KB	Output is correct
77	Correct	163 ms	3836 KB	Output is correct
78	Correct	70 ms	3836 KB	Output is correct
79	Correct	119 ms	3836 KB	Output is correct
80	Correct	113 ms	3836 KB	Output is correct
81	Correct	129 ms	3836 KB	Output is correct
82	Correct	92 ms	3836 KB	Output is correct
83	Correct	75 ms	3836 KB	Output is correct
84	Correct	598 ms	3836 KB	Output is correct
85	Correct	1182 ms	3836 KB	Output is correct
86	Correct	3 ms	3836 KB	Output is correct
87	Correct	2 ms	3836 KB	Output is correct
88	Correct	1117 ms	3836 KB	Output is correct
89	Correct	209 ms	3836 KB	Output is correct
90	Correct	2 ms	3836 KB	Output is correct

답안 #68106

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