Submission #378552

# Submission time Handle Problem Language Result Execution time Memory
378552 2021-03-17T01:43:00 Z Seanliu Chessboard (IZhO18_chessboard) C++14
70 / 100
1279 ms 5996 KB
#include <iostream>
#define int long long int
#define ericxiao ios_base::sync_with_stdio(0);cin.tie(0);
using namespace std;

const int maxN = 1e5 + 326;

struct Rect{
	int l, r, d, u, A;
	Rect(){}
	Rect(int l, int r, int d, int u): l(l), r(r), d(d), u(u){
		A = (r - l + 1) * (u - d + 1);
	}
} rects[maxN];

inline bool onDiag(int x, int y, int d){
	return	(((x % (2 * d)) < d) == ((y % (2 * d)) < d)); 
}

inline int id(int x, int y, int d){
	return x / d * maxN + y / d;		
}

int N, K;

inline int check(int d){
	//top left is black
	//cout << "d = " << d << endl;
	int _ans = maxN * maxN, tmp = ((N / d) * (N / d) + 1) / 2 * (d * d);
	//cout << "1tmp = " << tmp << endl;
	for(int i = 0; i < K; i++){
		if(id(rects[i].l, rects[i].u, d) == id(rects[i].r, rects[i].d, d)){
			//cout << onDiag(rects[i].l, rects[i].u, d) && onDiag(rects[i].r, rects[i].d, d);
			if(onDiag(rects[i].l, rects[i].u, d) && onDiag(rects[i].r, rects[i].d, d)) tmp -= rects[i].A;
			else tmp += rects[i].A;
		} else {
			tmp = maxN * maxN;
			break;
		}
	}
	cout << endl;
	//cout << "1: " << tmp << endl;
	_ans = min(_ans, tmp);
	tmp = ((N / d) * (N / d)) / 2 * (d * d);
	for(int i = 0; i < K; i++){
		if(id(rects[i].l, rects[i].u, d) == id(rects[i].r, rects[i].d, d)){
			if(onDiag(rects[i].l, rects[i].u, d) && onDiag(rects[i].r, rects[i].d, d)) tmp += rects[i].A;
			else tmp -= rects[i].A;
		} else {
			tmp = maxN * maxN;
			break;
		}	
	}
	//cout << "2: " << tmp << endl;
	_ans = min(_ans, tmp);
	//cout << "d = " << d << ", ans = " << _ans << endl;
	return _ans;
	//top right is black
}

signed main(){
	ericxiao;
	cin >> N >> K;
	int l, r, d, u;
	for(int i = 0; i < K; i++){
		cin >> l >> d >> r >> u;
		l--; d--; r--; u--;
		rects[i] = Rect(l, r, d, u);
		//cout << "rects[i] a = " << rects[i].A << endl;
	}
	int ans = maxN * maxN;
	for(int div = 1; div * div <= N; div++){
		if(!(N % div)){
			ans = min(ans, check(div));
			if(div != 1) ans = min(ans, check(N / div));
		}
	}
	cout << ans << endl;
}

/*
 * 
6 8
3 3 3 3
1 2 1 2
3 4 3 4
5 5 5 5
4 3 4 3
4 4 4 4
2 1 2 1
3 6 3 6
*/
# 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 0 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
# Verdict Execution time Memory Grader output
1 Correct 31 ms 2816 KB Output is correct
2 Correct 8 ms 1004 KB Output is correct
3 Correct 19 ms 1900 KB Output is correct
4 Correct 21 ms 2156 KB Output is correct
5 Correct 26 ms 2412 KB Output is correct
6 Correct 17 ms 1644 KB Output is correct
7 Correct 4 ms 620 KB Output is correct
8 Correct 21 ms 1644 KB Output is correct
9 Correct 43 ms 3820 KB Output is correct
10 Correct 25 ms 2284 KB Output is correct
# 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 384 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 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
# 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 384 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 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 17 ms 1388 KB Output is correct
17 Correct 36 ms 4724 KB Output is correct
18 Correct 60 ms 5612 KB Output is correct
19 Correct 245 ms 4972 KB Output is correct
20 Correct 272 ms 5612 KB Output is correct
21 Correct 34 ms 4588 KB Output is correct
22 Correct 2 ms 364 KB Output is correct
23 Correct 41 ms 2668 KB Output is correct
24 Correct 55 ms 5100 KB Output is correct
25 Correct 9 ms 876 KB Output is correct
26 Correct 34 ms 3436 KB Output is correct
27 Correct 54 ms 3948 KB Output is correct
28 Correct 59 ms 5356 KB Output is correct
29 Correct 14 ms 2156 KB Output is correct
30 Correct 2 ms 492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 31 ms 2816 KB Output is correct
2 Correct 8 ms 1004 KB Output is correct
3 Correct 19 ms 1900 KB Output is correct
4 Correct 21 ms 2156 KB Output is correct
5 Correct 26 ms 2412 KB Output is correct
6 Correct 17 ms 1644 KB Output is correct
7 Correct 4 ms 620 KB Output is correct
8 Correct 21 ms 1644 KB Output is correct
9 Correct 43 ms 3820 KB Output is correct
10 Correct 25 ms 2284 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 384 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 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 17 ms 1388 KB Output is correct
27 Correct 36 ms 4724 KB Output is correct
28 Correct 60 ms 5612 KB Output is correct
29 Correct 245 ms 4972 KB Output is correct
30 Correct 272 ms 5612 KB Output is correct
31 Correct 34 ms 4588 KB Output is correct
32 Correct 2 ms 364 KB Output is correct
33 Correct 41 ms 2668 KB Output is correct
34 Correct 55 ms 5100 KB Output is correct
35 Correct 9 ms 876 KB Output is correct
36 Correct 34 ms 3436 KB Output is correct
37 Correct 54 ms 3948 KB Output is correct
38 Correct 59 ms 5356 KB Output is correct
39 Correct 14 ms 2156 KB Output is correct
40 Correct 2 ms 492 KB Output is correct
41 Correct 220 ms 4844 KB Output is correct
42 Correct 65 ms 5356 KB Output is correct
43 Correct 124 ms 4972 KB Output is correct
44 Correct 65 ms 5228 KB Output is correct
45 Correct 48 ms 5484 KB Output is correct
46 Correct 246 ms 5228 KB Output is correct
47 Correct 43 ms 4972 KB Output is correct
48 Correct 93 ms 4972 KB Output is correct
49 Correct 58 ms 4864 KB Output is correct
50 Correct 1171 ms 5100 KB Output is correct
51 Correct 1243 ms 5436 KB Output is correct
52 Correct 1174 ms 5100 KB Output is correct
53 Correct 1243 ms 5868 KB Output is correct
54 Correct 1140 ms 5612 KB Output is correct
55 Correct 1279 ms 5996 KB Output is correct
56 Correct 1104 ms 5484 KB Output is correct
# 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 0 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 31 ms 2816 KB Output is correct
10 Correct 8 ms 1004 KB Output is correct
11 Correct 19 ms 1900 KB Output is correct
12 Correct 21 ms 2156 KB Output is correct
13 Correct 26 ms 2412 KB Output is correct
14 Correct 17 ms 1644 KB Output is correct
15 Correct 4 ms 620 KB Output is correct
16 Correct 21 ms 1644 KB Output is correct
17 Correct 43 ms 3820 KB Output is correct
18 Correct 25 ms 2284 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 384 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 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 17 ms 1388 KB Output is correct
35 Correct 36 ms 4724 KB Output is correct
36 Correct 60 ms 5612 KB Output is correct
37 Correct 245 ms 4972 KB Output is correct
38 Correct 272 ms 5612 KB Output is correct
39 Correct 34 ms 4588 KB Output is correct
40 Correct 2 ms 364 KB Output is correct
41 Correct 41 ms 2668 KB Output is correct
42 Correct 55 ms 5100 KB Output is correct
43 Correct 9 ms 876 KB Output is correct
44 Correct 34 ms 3436 KB Output is correct
45 Correct 54 ms 3948 KB Output is correct
46 Correct 59 ms 5356 KB Output is correct
47 Correct 14 ms 2156 KB Output is correct
48 Correct 2 ms 492 KB Output is correct
49 Correct 220 ms 4844 KB Output is correct
50 Correct 65 ms 5356 KB Output is correct
51 Correct 124 ms 4972 KB Output is correct
52 Correct 65 ms 5228 KB Output is correct
53 Correct 48 ms 5484 KB Output is correct
54 Correct 246 ms 5228 KB Output is correct
55 Correct 43 ms 4972 KB Output is correct
56 Correct 93 ms 4972 KB Output is correct
57 Correct 58 ms 4864 KB Output is correct
58 Correct 1171 ms 5100 KB Output is correct
59 Correct 1243 ms 5436 KB Output is correct
60 Correct 1174 ms 5100 KB Output is correct
61 Correct 1243 ms 5868 KB Output is correct
62 Correct 1140 ms 5612 KB Output is correct
63 Correct 1279 ms 5996 KB Output is correct
64 Correct 1104 ms 5484 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Incorrect 2 ms 364 KB Output isn't correct
67 Halted 0 ms 0 KB -