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답안 #378820

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
378820 2021-03-17T05:13:57 Z cheissmart Chessboard (IZhO18_chessboard) C++14
70 / 100
 1466 ms 2028 KB 
#include <bits/stdc++.h>
#define IO_OP std::ios::sync_with_stdio(0); std::cin.tie(0);
#define F first
#define S second
#define V vector
#define PB push_back
#define MP make_pair
#define EB emplace_back
#define ALL(v) (v).begin(), (v).end()
#define debug(x) cerr << "Line(" << __LINE__ << ") -> " << #x << " is " << x << endl

using namespace std;

typedef long long ll;
typedef pair<int, int> pi;
typedef V<int> vi;

const int INF = 1e9 + 7;
const ll oo = 1e18;

signed main()
{
	IO_OP;

	int n, k;
	cin >> n >> k;
	V<array<int, 4>> a(k);
	for(int i = 0; i < k; i++) {
		for(int j = 0; j < 4; j++)
			cin >> a[i][j], a[i][j]--;
	}

	ll ans = oo;
	auto go = [&] (int b) {
		assert(n % b == 0);
		int m = n / b;
		ll black = (ll) m * m / 2 * b * b, white = (ll) n * n - black;
		int black_type = 1;
		for(int _ = 0; _ < 2; _++) {
			ll in_black = 0, in_white = 0;
			for(int i = 0; i < k; i++) {
				function<void(int, int, int, int)> solve = [&] (int x1, int y1, int x2, int y2) {
					if(x1 > x2 || y1 > y2) return;
					// int x1 = a[i][0], y1 = a[i][1];
					// int x2 = a[i][2], y2 = a[i][3];
					if(x1 / b == x2 / b && y1 / b == y2 / b) {
						if((x1 / b + y1 / b) % 2 == black_type)
							in_black += (ll) (x2 - x1 + 1) * (y2 - y1 + 1);
						else
							in_white += (ll) (x2 - x1 + 1) * (y2 - y1 + 1);
					} else if(y1 / b == y2 / b || x1 / b == x2 / b) {
						if(y1 / b == y2 / b) {
							swap(x1, y1);
							swap(x2, y2);
						}
						int bl = y1 / b + 1;
						int br = y2 / b - 1;
						ll l_rem = (ll) (bl * b - y1) * (x2 - x1 + 1);
						ll r_rem = (ll) (y2 - br * b) * (x2 - x1 + 1);
						if((x1 / b + y1 / b) % 2 == black_type) in_black += l_rem;
						else in_white += l_rem;
						if((x2 / b + y2 / b) % 2 == black_type) in_black += r_rem;
						else in_white += r_rem;
						if((br - bl + 1) % 2 == 1) {
							if((bl + x1 / b) % 2 == black_type)
								in_black += (ll) b * (x2 - x1 + 1);
							else
								in_white += (ll) b * (x2 - x1 + 1);
						}
					} else {
						int bl = y1 / b + 1, br = y2 / b - 1;
						int bu = x1 / b + 1, bd = x2 / b - 1;
						solve(x1, bl * b, bu * b - 1, br * b + b - 1);
						solve(br * b + b, bl * b, x2, br * b + b - 1);
						solve(bu * b, y1, bd * b + b - 1, bl * b - 1);
						solve(bu * b, br * b + b, bd * b + b - 1, y2);

						solve(x1, y1, bu * b - 1, bl * b - 1);
						solve(x1, br * b + b, bu * b - 1, y2);
						solve(bd * b + b, y1, x2, bl * b - 1);
						solve(bd * b + b, br * b + b, x2, y2);
						if((br - bl + 1) % 2 == 1 && (bd - bu + 1) % 2 == 1) {
							if((bl + bu) % 2 == black_type)
								in_black += (ll) b * b;
							else
								in_white += (ll) b * b;
						}
					}
				};
				int x1 = a[i][0], y1 = a[i][1];
				int x2 = a[i][2], y2 = a[i][3];
				solve(x1, y1, x2, y2);
			}
			assert(in_black <= black);
			assert(in_white <= white);
			ans = min(ans, in_white + black - in_black);
			swap(black, white);
			black_type ^= 1;
		}
	};

	for(int i = 1; i * i <= n; i++) {
		if(n % i == 0) {
			go(i);
			if(n / i != i && n / i != n) go(n / i);
		}
	}
	cout << ans << '\n';

}

Subtask #1
8.0 / 8.0

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

Subtask #2
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 31 ms 1260 KB Output is correct
2 Correct 9 ms 620 KB Output is correct
3 Correct 19 ms 1004 KB Output is correct
4 Correct 22 ms 1004 KB Output is correct
5 Correct 27 ms 1132 KB Output is correct
6 Correct 17 ms 876 KB Output is correct
7 Correct 6 ms 492 KB Output is correct
8 Correct 18 ms 876 KB Output is correct
9 Correct 45 ms 1772 KB Output is correct
10 Correct 25 ms 1132 KB Output is correct

Subtask #3
15.0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 384 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 2 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 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 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct

Subtask #4
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 384 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 2 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 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 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 18 ms 748 KB Output is correct
17 Correct 36 ms 1644 KB Output is correct
18 Correct 72 ms 1900 KB Output is correct
19 Correct 288 ms 1772 KB Output is correct
20 Correct 341 ms 1900 KB Output is correct
21 Correct 35 ms 1644 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 46 ms 1004 KB Output is correct
24 Correct 58 ms 1772 KB Output is correct
25 Correct 10 ms 492 KB Output is correct
26 Correct 37 ms 1408 KB Output is correct
27 Correct 59 ms 1388 KB Output is correct
28 Correct 61 ms 1772 KB Output is correct
29 Correct 15 ms 876 KB Output is correct
30 Correct 2 ms 364 KB Output is correct

Subtask #5
23.0 / 23.0

# 결과 실행 시간 메모리 Grader output
1 Correct 31 ms 1260 KB Output is correct
2 Correct 9 ms 620 KB Output is correct
3 Correct 19 ms 1004 KB Output is correct
4 Correct 22 ms 1004 KB Output is correct
5 Correct 27 ms 1132 KB Output is correct
6 Correct 17 ms 876 KB Output is correct
7 Correct 6 ms 492 KB Output is correct
8 Correct 18 ms 876 KB Output is correct
9 Correct 45 ms 1772 KB Output is correct
10 Correct 25 ms 1132 KB Output is correct
11 Correct 1 ms 384 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 2 ms 364 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 1 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 18 ms 748 KB Output is correct
27 Correct 36 ms 1644 KB Output is correct
28 Correct 72 ms 1900 KB Output is correct
29 Correct 288 ms 1772 KB Output is correct
30 Correct 341 ms 1900 KB Output is correct
31 Correct 35 ms 1644 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 46 ms 1004 KB Output is correct
34 Correct 58 ms 1772 KB Output is correct
35 Correct 10 ms 492 KB Output is correct
36 Correct 37 ms 1408 KB Output is correct
37 Correct 59 ms 1388 KB Output is correct
38 Correct 61 ms 1772 KB Output is correct
39 Correct 15 ms 876 KB Output is correct
40 Correct 2 ms 364 KB Output is correct
41 Correct 260 ms 1792 KB Output is correct
42 Correct 67 ms 1772 KB Output is correct
43 Correct 140 ms 1644 KB Output is correct
44 Correct 64 ms 1772 KB Output is correct
45 Correct 54 ms 1900 KB Output is correct
46 Correct 272 ms 1772 KB Output is correct
47 Correct 41 ms 1644 KB Output is correct
48 Correct 100 ms 1644 KB Output is correct
49 Correct 60 ms 1644 KB Output is correct
50 Correct 1329 ms 1772 KB Output is correct
51 Correct 1425 ms 1900 KB Output is correct
52 Correct 1350 ms 1772 KB Output is correct
53 Correct 1427 ms 1772 KB Output is correct
54 Correct 1293 ms 1772 KB Output is correct
55 Correct 1466 ms 2028 KB Output is correct
56 Correct 1248 ms 1644 KB Output is correct

Subtask #6
0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 0 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 0 ms 364 KB Output is correct
9 Correct 31 ms 1260 KB Output is correct
10 Correct 9 ms 620 KB Output is correct
11 Correct 19 ms 1004 KB Output is correct
12 Correct 22 ms 1004 KB Output is correct
13 Correct 27 ms 1132 KB Output is correct
14 Correct 17 ms 876 KB Output is correct
15 Correct 6 ms 492 KB Output is correct
16 Correct 18 ms 876 KB Output is correct
17 Correct 45 ms 1772 KB Output is correct
18 Correct 25 ms 1132 KB Output is correct
19 Correct 1 ms 384 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 2 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 18 ms 748 KB Output is correct
35 Correct 36 ms 1644 KB Output is correct
36 Correct 72 ms 1900 KB Output is correct
37 Correct 288 ms 1772 KB Output is correct
38 Correct 341 ms 1900 KB Output is correct
39 Correct 35 ms 1644 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 46 ms 1004 KB Output is correct
42 Correct 58 ms 1772 KB Output is correct
43 Correct 10 ms 492 KB Output is correct
44 Correct 37 ms 1408 KB Output is correct
45 Correct 59 ms 1388 KB Output is correct
46 Correct 61 ms 1772 KB Output is correct
47 Correct 15 ms 876 KB Output is correct
48 Correct 2 ms 364 KB Output is correct
49 Correct 260 ms 1792 KB Output is correct
50 Correct 67 ms 1772 KB Output is correct
51 Correct 140 ms 1644 KB Output is correct
52 Correct 64 ms 1772 KB Output is correct
53 Correct 54 ms 1900 KB Output is correct
54 Correct 272 ms 1772 KB Output is correct
55 Correct 41 ms 1644 KB Output is correct
56 Correct 100 ms 1644 KB Output is correct
57 Correct 60 ms 1644 KB Output is correct
58 Correct 1329 ms 1772 KB Output is correct
59 Correct 1425 ms 1900 KB Output is correct
60 Correct 1350 ms 1772 KB Output is correct
61 Correct 1427 ms 1772 KB Output is correct
62 Correct 1293 ms 1772 KB Output is correct
63 Correct 1466 ms 2028 KB Output is correct
64 Correct 1248 ms 1644 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Incorrect 1 ms 364 KB Output isn't correct
67 Halted 0 ms 0 KB -