oj.uz

Submission #378822

# Submission time Handle Problem Language Result Execution time Memory
378822 2021-03-17T05:17:32 Z cheissmart Chessboard (IZhO18_chessboard) C++14
70 / 100
 1460 ms 1900 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 + 1) * (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

# Verdict Execution time Memory 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 512 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

# Verdict Execution time Memory Grader output
1 Correct 44 ms 1260 KB Output is correct
2 Correct 11 ms 620 KB Output is correct
3 Correct 20 ms 1004 KB Output is correct
4 Correct 23 ms 1004 KB Output is correct
5 Correct 27 ms 1132 KB Output is correct
6 Correct 34 ms 876 KB Output is correct
7 Correct 4 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

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 384 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 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

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 384 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 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 45 ms 1644 KB Output is correct
18 Correct 65 ms 1900 KB Output is correct
19 Correct 282 ms 1772 KB Output is correct
20 Correct 315 ms 1900 KB Output is correct
21 Correct 35 ms 1644 KB Output is correct
22 Correct 10 ms 364 KB Output is correct
23 Correct 75 ms 1004 KB Output is correct
24 Correct 71 ms 1772 KB Output is correct
25 Correct 10 ms 492 KB Output is correct
26 Correct 38 ms 1260 KB Output is correct
27 Correct 61 ms 1388 KB Output is correct
28 Correct 62 ms 1772 KB Output is correct
29 Correct 14 ms 876 KB Output is correct
30 Correct 2 ms 364 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 1260 KB Output is correct
2 Correct 11 ms 620 KB Output is correct
3 Correct 20 ms 1004 KB Output is correct
4 Correct 23 ms 1004 KB Output is correct
5 Correct 27 ms 1132 KB Output is correct
6 Correct 34 ms 876 KB Output is correct
7 Correct 4 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 384 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 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 45 ms 1644 KB Output is correct
28 Correct 65 ms 1900 KB Output is correct
29 Correct 282 ms 1772 KB Output is correct
30 Correct 315 ms 1900 KB Output is correct
31 Correct 35 ms 1644 KB Output is correct
32 Correct 10 ms 364 KB Output is correct
33 Correct 75 ms 1004 KB Output is correct
34 Correct 71 ms 1772 KB Output is correct
35 Correct 10 ms 492 KB Output is correct
36 Correct 38 ms 1260 KB Output is correct
37 Correct 61 ms 1388 KB Output is correct
38 Correct 62 ms 1772 KB Output is correct
39 Correct 14 ms 876 KB Output is correct
40 Correct 2 ms 364 KB Output is correct
41 Correct 287 ms 1644 KB Output is correct
42 Correct 81 ms 1772 KB Output is correct
43 Correct 134 ms 1644 KB Output is correct
44 Correct 64 ms 1772 KB Output is correct
45 Correct 49 ms 1900 KB Output is correct
46 Correct 278 ms 1772 KB Output is correct
47 Correct 42 ms 1644 KB Output is correct
48 Correct 113 ms 1644 KB Output is correct
49 Correct 61 ms 1644 KB Output is correct
50 Correct 1320 ms 1772 KB Output is correct
51 Correct 1399 ms 1900 KB Output is correct
52 Correct 1307 ms 1772 KB Output is correct
53 Correct 1412 ms 1772 KB Output is correct
54 Correct 1291 ms 1772 KB Output is correct
55 Correct 1460 ms 1900 KB Output is correct
56 Correct 1251 ms 1644 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory 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 512 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 44 ms 1260 KB Output is correct
10 Correct 11 ms 620 KB Output is correct
11 Correct 20 ms 1004 KB Output is correct
12 Correct 23 ms 1004 KB Output is correct
13 Correct 27 ms 1132 KB Output is correct
14 Correct 34 ms 876 KB Output is correct
15 Correct 4 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 384 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 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 45 ms 1644 KB Output is correct
36 Correct 65 ms 1900 KB Output is correct
37 Correct 282 ms 1772 KB Output is correct
38 Correct 315 ms 1900 KB Output is correct
39 Correct 35 ms 1644 KB Output is correct
40 Correct 10 ms 364 KB Output is correct
41 Correct 75 ms 1004 KB Output is correct
42 Correct 71 ms 1772 KB Output is correct
43 Correct 10 ms 492 KB Output is correct
44 Correct 38 ms 1260 KB Output is correct
45 Correct 61 ms 1388 KB Output is correct
46 Correct 62 ms 1772 KB Output is correct
47 Correct 14 ms 876 KB Output is correct
48 Correct 2 ms 364 KB Output is correct
49 Correct 287 ms 1644 KB Output is correct
50 Correct 81 ms 1772 KB Output is correct
51 Correct 134 ms 1644 KB Output is correct
52 Correct 64 ms 1772 KB Output is correct
53 Correct 49 ms 1900 KB Output is correct
54 Correct 278 ms 1772 KB Output is correct
55 Correct 42 ms 1644 KB Output is correct
56 Correct 113 ms 1644 KB Output is correct
57 Correct 61 ms 1644 KB Output is correct
58 Correct 1320 ms 1772 KB Output is correct
59 Correct 1399 ms 1900 KB Output is correct
60 Correct 1307 ms 1772 KB Output is correct
61 Correct 1412 ms 1772 KB Output is correct
62 Correct 1291 ms 1772 KB Output is correct
63 Correct 1460 ms 1900 KB Output is correct
64 Correct 1251 ms 1644 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Incorrect 0 ms 364 KB Output isn't correct
67 Halted 0 ms 0 KB -