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답안 #378812

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
378812 2021-03-17T04:59:43 Z cheissmart Chessboard (IZhO18_chessboard) C++14
70 / 100
 1472 ms 2668 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, bl * b - 1, br * b - 1);
						solve(x1, br * b + b, bl * 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 1 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 1 ms 364 KB Output is correct

Subtask #2
8.0 / 8.0

# 결과 실행 시간 메모리 Grader output
1 Correct 33 ms 1260 KB Output is correct
2 Correct 10 ms 620 KB Output is correct
3 Correct 20 ms 1004 KB Output is correct
4 Correct 26 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 5 ms 492 KB Output is correct
8 Correct 17 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 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 1 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 2 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 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 2 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 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 1 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 2 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 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 2 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 38 ms 1676 KB Output is correct
18 Correct 68 ms 1900 KB Output is correct
19 Correct 290 ms 1772 KB Output is correct
20 Correct 323 ms 1900 KB Output is correct
21 Correct 36 ms 1644 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 59 ms 1004 KB Output is correct
24 Correct 59 ms 1772 KB Output is correct
25 Correct 10 ms 492 KB Output is correct
26 Correct 40 ms 1260 KB Output is correct
27 Correct 69 ms 1388 KB Output is correct
28 Correct 61 ms 1772 KB Output is correct
29 Correct 19 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 33 ms 1260 KB Output is correct
2 Correct 10 ms 620 KB Output is correct
3 Correct 20 ms 1004 KB Output is correct
4 Correct 26 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 5 ms 492 KB Output is correct
8 Correct 17 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 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 1 ms 364 KB Output is correct
17 Correct 2 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 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 2 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 38 ms 1676 KB Output is correct
28 Correct 68 ms 1900 KB Output is correct
29 Correct 290 ms 1772 KB Output is correct
30 Correct 323 ms 1900 KB Output is correct
31 Correct 36 ms 1644 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 59 ms 1004 KB Output is correct
34 Correct 59 ms 1772 KB Output is correct
35 Correct 10 ms 492 KB Output is correct
36 Correct 40 ms 1260 KB Output is correct
37 Correct 69 ms 1388 KB Output is correct
38 Correct 61 ms 1772 KB Output is correct
39 Correct 19 ms 876 KB Output is correct
40 Correct 2 ms 364 KB Output is correct
41 Correct 238 ms 1644 KB Output is correct
42 Correct 71 ms 1772 KB Output is correct
43 Correct 143 ms 1644 KB Output is correct
44 Correct 69 ms 1772 KB Output is correct
45 Correct 63 ms 1900 KB Output is correct
46 Correct 278 ms 1772 KB Output is correct
47 Correct 42 ms 2284 KB Output is correct
48 Correct 100 ms 2284 KB Output is correct
49 Correct 66 ms 2284 KB Output is correct
50 Correct 1318 ms 2540 KB Output is correct
51 Correct 1422 ms 2668 KB Output is correct
52 Correct 1301 ms 2540 KB Output is correct
53 Correct 1437 ms 2540 KB Output is correct
54 Correct 1283 ms 2412 KB Output is correct
55 Correct 1472 ms 2668 KB Output is correct
56 Correct 1256 ms 2548 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 1 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 1 ms 364 KB Output is correct
9 Correct 33 ms 1260 KB Output is correct
10 Correct 10 ms 620 KB Output is correct
11 Correct 20 ms 1004 KB Output is correct
12 Correct 26 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 5 ms 492 KB Output is correct
16 Correct 17 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 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 2 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 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 2 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 38 ms 1676 KB Output is correct
36 Correct 68 ms 1900 KB Output is correct
37 Correct 290 ms 1772 KB Output is correct
38 Correct 323 ms 1900 KB Output is correct
39 Correct 36 ms 1644 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 59 ms 1004 KB Output is correct
42 Correct 59 ms 1772 KB Output is correct
43 Correct 10 ms 492 KB Output is correct
44 Correct 40 ms 1260 KB Output is correct
45 Correct 69 ms 1388 KB Output is correct
46 Correct 61 ms 1772 KB Output is correct
47 Correct 19 ms 876 KB Output is correct
48 Correct 2 ms 364 KB Output is correct
49 Correct 238 ms 1644 KB Output is correct
50 Correct 71 ms 1772 KB Output is correct
51 Correct 143 ms 1644 KB Output is correct
52 Correct 69 ms 1772 KB Output is correct
53 Correct 63 ms 1900 KB Output is correct
54 Correct 278 ms 1772 KB Output is correct
55 Correct 42 ms 2284 KB Output is correct
56 Correct 100 ms 2284 KB Output is correct
57 Correct 66 ms 2284 KB Output is correct
58 Correct 1318 ms 2540 KB Output is correct
59 Correct 1422 ms 2668 KB Output is correct
60 Correct 1301 ms 2540 KB Output is correct
61 Correct 1437 ms 2540 KB Output is correct
62 Correct 1283 ms 2412 KB Output is correct
63 Correct 1472 ms 2668 KB Output is correct
64 Correct 1256 ms 2548 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 -