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답안 #343836

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
343836 2021-01-04T14:26:05 Z emil_physmath Chessboard (IZhO18_chessboard) C++17
70 / 100
 946 ms 4476 KB 
#include <iostream>
#include <algorithm>
#include <vector>
using namespace std;
using ll = long long;
struct el {
	int a, b, c, d;
};
vector<ll> dv;
vector<el> points;
ll ans;
ll prefans(ll x, ll y, ll k, ll f)
{
	ll ans;
	ll ab = y / k, a;
	a = (ab + 1) / 2;
	a *= k;
	if (ab % 2 == 0)
		a += y % k;
	if (x <= k)
		ans = x * a;
	else
	{
		ll aa = y - a;
		ll q = x / k;
		ans = aa * (q / 2) * k;
		ans += a * ((q + 1) / 2) * k;
		if (q % 2)
			ans += aa * (x % k);
		else ans += a * (x % k);
	}
	if (f == 1)
		return ans;
	else return x * y - ans;
}

long long NumWhite(long long mini, long long minj, long long maxi, long long maxj, long long len)
{
	if (!mini) mini=1;
	if (!minj) minj=1;
	if (mini==1 && minj==1)
	{
        return prefans(maxi, maxj, len, 1);
		long long  ans=0, i=maxi, j=maxj;
		ans+=len*len*(((i/len)*(j/len)+1)/2);
		if ((i/len)%2)
			ans+=(i%len)*((j/len)/2)*len;
		else
			ans+=(i%len)*((j/len+1)/2)*len;
		if ((j/len)%2)
			ans+=(j%len)*((i/len)/2)*len;
		else
			ans+=(j%len)*((i/len+1)/2)*len;
		if ((i/len)%2==(j/len)%2)
			ans+=(i%len)*(j%len);
		return ans;
	}
	return NumWhite(1, 1, maxi, maxj, len)-
		NumWhite(1, 1, maxi, minj-1, len)-NumWhite(1, 1, mini-1, maxj, len)+
		NumWhite(1, 1, mini-1, minj-1, len);
}

int main()
{
	ll n, k;
	cin >> n >> k;
	ans = n * n;
	for (int i = 1; i < n; i++)
		if (n % i == 0)dv.push_back(i);
	for (int i = 0; i < k; i++)
	{
		int a, b, c, d;
		cin >> a >> b >> c >> d;
		points.push_back({ a,b,c,d });
	}/*
	for (auto p : points)
		cerr << p.first << ' ' << p.second << '\n';*/
	for (ll d : dv)
	{
		ll blackans;
		ll q = n / d;
		if (q % 2)
			blackans = (n * n - d * d) / 2 + d * d;
		else blackans = n * n / 2;
		ll whiteans = n * n - blackans;
        blackans = n * n - NumWhite(1, 1, n, n, d);
        whiteans = NumWhite(1, 1, n, n, d);
		//cerr << blackans << ' ' << whiteans << " 1, 1, " << n << ", " << n << " " << NumWhite(1, 1, n, n, d) << '\n';
		for (auto p : points)
		{
            blackans -= (p.d - p.b + 1) * (p.c - p.a + 1) - NumWhite(p.a, p.b, p.c, p.d, d);
            whiteans -= NumWhite(p.a, p.b, p.c, p.d, d);
            whiteans += (p.d - p.b + 1) * (p.c - p.a + 1) - NumWhite(p.a, p.b, p.c, p.d, d);
            blackans += NumWhite(p.a, p.b, p.c, p.d, d);
			//blackans += prefans(p.c, p.d, d, 1) - prefans(p.a - 1, p.d, d, 1) - prefans(p.c, p.b - 1, d, 1) + 2 * prefans(p.a - 1, p.b - 1, d, 1);
			//whiteans += prefans(p.c, p.d, d, 0) - prefans(p.a - 1, p.d, d, 0) - prefans(p.c, p.b - 1, d, 0) + 2 * prefans(p.a - 1, p.b - 1, d, 0);
		}
		//cerr << blackans << ' ' << whiteans << '\n';
		ans = min(ans, min(blackans, whiteans));
	}
	cout << ans;
	return 0;
}

Subtask #1
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 0 ms 364 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 384 KB Output is correct

Subtask #2
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 79 ms 1508 KB Output is correct
2 Correct 20 ms 1256 KB Output is correct
3 Correct 51 ms 2404 KB Output is correct
4 Correct 51 ms 2276 KB Output is correct
5 Correct 70 ms 2560 KB Output is correct
6 Correct 45 ms 2276 KB Output is correct
7 Correct 10 ms 748 KB Output is correct
8 Correct 45 ms 2372 KB Output is correct
9 Correct 115 ms 4212 KB Output is correct
10 Correct 68 ms 2532 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 2 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 492 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 2 ms 364 KB Output is correct
14 Correct 2 ms 364 KB Output is correct
15 Correct 2 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 2 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 492 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 2 ms 364 KB Output is correct
14 Correct 2 ms 364 KB Output is correct
15 Correct 2 ms 364 KB Output is correct
16 Correct 31 ms 1384 KB Output is correct
17 Correct 84 ms 3840 KB Output is correct
18 Correct 114 ms 3808 KB Output is correct
19 Correct 226 ms 3808 KB Output is correct
20 Correct 255 ms 3808 KB Output is correct
21 Correct 81 ms 3808 KB Output is correct
22 Correct 2 ms 364 KB Output is correct
23 Correct 58 ms 2148 KB Output is correct
24 Correct 101 ms 3808 KB Output is correct
25 Correct 12 ms 876 KB Output is correct
26 Correct 64 ms 2296 KB Output is correct
27 Correct 85 ms 3552 KB Output is correct
28 Correct 107 ms 3960 KB Output is correct
29 Correct 34 ms 2148 KB Output is correct
30 Correct 4 ms 492 KB Output is correct

Subtask #5
23.0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 79 ms 1508 KB Output is correct
2 Correct 20 ms 1256 KB Output is correct
3 Correct 51 ms 2404 KB Output is correct
4 Correct 51 ms 2276 KB Output is correct
5 Correct 70 ms 2560 KB Output is correct
6 Correct 45 ms 2276 KB Output is correct
7 Correct 10 ms 748 KB Output is correct
8 Correct 45 ms 2372 KB Output is correct
9 Correct 115 ms 4212 KB Output is correct
10 Correct 68 ms 2532 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 2 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 492 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 2 ms 364 KB Output is correct
24 Correct 2 ms 364 KB Output is correct
25 Correct 2 ms 364 KB Output is correct
26 Correct 31 ms 1384 KB Output is correct
27 Correct 84 ms 3840 KB Output is correct
28 Correct 114 ms 3808 KB Output is correct
29 Correct 226 ms 3808 KB Output is correct
30 Correct 255 ms 3808 KB Output is correct
31 Correct 81 ms 3808 KB Output is correct
32 Correct 2 ms 364 KB Output is correct
33 Correct 58 ms 2148 KB Output is correct
34 Correct 101 ms 3808 KB Output is correct
35 Correct 12 ms 876 KB Output is correct
36 Correct 64 ms 2296 KB Output is correct
37 Correct 85 ms 3552 KB Output is correct
38 Correct 107 ms 3960 KB Output is correct
39 Correct 34 ms 2148 KB Output is correct
40 Correct 4 ms 492 KB Output is correct
41 Correct 224 ms 4340 KB Output is correct
42 Correct 133 ms 4476 KB Output is correct
43 Correct 175 ms 4320 KB Output is correct
44 Correct 128 ms 4320 KB Output is correct
45 Correct 124 ms 4320 KB Output is correct
46 Correct 252 ms 4320 KB Output is correct
47 Correct 114 ms 4320 KB Output is correct
48 Correct 147 ms 4320 KB Output is correct
49 Correct 118 ms 4320 KB Output is correct
50 Correct 854 ms 4448 KB Output is correct
51 Correct 911 ms 4320 KB Output is correct
52 Correct 853 ms 4320 KB Output is correct
53 Correct 905 ms 4320 KB Output is correct
54 Correct 837 ms 4448 KB Output is correct
55 Correct 946 ms 4444 KB Output is correct
56 Correct 820 ms 4320 KB Output is correct

Subtask #6
0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 0 ms 364 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 79 ms 1508 KB Output is correct
10 Correct 20 ms 1256 KB Output is correct
11 Correct 51 ms 2404 KB Output is correct
12 Correct 51 ms 2276 KB Output is correct
13 Correct 70 ms 2560 KB Output is correct
14 Correct 45 ms 2276 KB Output is correct
15 Correct 10 ms 748 KB Output is correct
16 Correct 45 ms 2372 KB Output is correct
17 Correct 115 ms 4212 KB Output is correct
18 Correct 68 ms 2532 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 2 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 492 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 2 ms 364 KB Output is correct
32 Correct 2 ms 364 KB Output is correct
33 Correct 2 ms 364 KB Output is correct
34 Correct 31 ms 1384 KB Output is correct
35 Correct 84 ms 3840 KB Output is correct
36 Correct 114 ms 3808 KB Output is correct
37 Correct 226 ms 3808 KB Output is correct
38 Correct 255 ms 3808 KB Output is correct
39 Correct 81 ms 3808 KB Output is correct
40 Correct 2 ms 364 KB Output is correct
41 Correct 58 ms 2148 KB Output is correct
42 Correct 101 ms 3808 KB Output is correct
43 Correct 12 ms 876 KB Output is correct
44 Correct 64 ms 2296 KB Output is correct
45 Correct 85 ms 3552 KB Output is correct
46 Correct 107 ms 3960 KB Output is correct
47 Correct 34 ms 2148 KB Output is correct
48 Correct 4 ms 492 KB Output is correct
49 Correct 224 ms 4340 KB Output is correct
50 Correct 133 ms 4476 KB Output is correct
51 Correct 175 ms 4320 KB Output is correct
52 Correct 128 ms 4320 KB Output is correct
53 Correct 124 ms 4320 KB Output is correct
54 Correct 252 ms 4320 KB Output is correct
55 Correct 114 ms 4320 KB Output is correct
56 Correct 147 ms 4320 KB Output is correct
57 Correct 118 ms 4320 KB Output is correct
58 Correct 854 ms 4448 KB Output is correct
59 Correct 911 ms 4320 KB Output is correct
60 Correct 853 ms 4320 KB Output is correct
61 Correct 905 ms 4320 KB Output is correct
62 Correct 837 ms 4448 KB Output is correct
63 Correct 946 ms 4444 KB Output is correct
64 Correct 820 ms 4320 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Correct 1 ms 364 KB Output is correct
67 Correct 886 ms 4320 KB Output is correct
68 Correct 891 ms 4320 KB Output is correct
69 Correct 778 ms 4320 KB Output is correct
70 Correct 863 ms 4320 KB Output is correct
71 Correct 863 ms 4320 KB Output is correct
72 Correct 838 ms 4320 KB Output is correct
73 Correct 808 ms 4320 KB Output is correct
74 Correct 891 ms 4320 KB Output is correct
75 Correct 854 ms 4320 KB Output is correct
76 Correct 908 ms 4320 KB Output is correct
77 Correct 221 ms 4320 KB Output is correct
78 Correct 126 ms 4192 KB Output is correct
79 Correct 167 ms 4320 KB Output is correct
80 Correct 175 ms 4320 KB Output is correct
81 Correct 162 ms 4412 KB Output is correct
82 Correct 157 ms 4320 KB Output is correct
83 Correct 135 ms 4372 KB Output is correct
84 Correct 563 ms 4444 KB Output is correct
85 Correct 915 ms 4444 KB Output is correct
86 Correct 2 ms 364 KB Output is correct
87 Incorrect 1 ms 364 KB Output isn't correct
88 Halted 0 ms 0 KB -