oj.uz

Submission #378636

# Submission time Handle Problem Language Result Execution time Memory
378636 2021-03-17T02:36:18 Z Seanliu Chessboard (IZhO18_chessboard) C++14
70 / 100
 611 ms 4332 KB 
#include <iostream>
#include <cassert>
#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;		
}

inline int getArea(int a, int b){
	if(a < 0 || b < 0) return 0;
	return a * b;
}

inline int Area(int l, int r, int d, int u, int div){
	int _l = (l + div - 1) / div * div, _r = r / div * div, _u = u / div * div, _d = (d + div - 1) / div * div, res = 0;
	if((l / div == r / div) && (u / div == d / div)){
		return (u - d + 1) * (r - l + 1) * onDiag(l, u, div);
	}
	if(l / div == r / div){
		int k = 0;
		k += (u - _u + 1) * onDiag(l, u, div);
		k += (_d - d) * onDiag(l, d, div);
		if(onDiag(l, _d, div) && ((_u - _d) / div) & 1) k += ((_u - _d) / div / 2 + 1) * d;
		else k += ((_u - _d) / div / 2) * d; 
		return k * (r - l + 1);
	} 
	if(u / div == d / div){
		int k = 0;
		k += (_l - l) * onDiag(l, u, div);
		k += (r - _r + 1) * onDiag(r, u, div);
		if(onDiag(_l, u, div) && ((_r - _l) / div) & 1) k += ((_r - _l) / div / 2 + 1) * d;
		else k += ((_r - _l) / div / 2) * d; 
		return k * (u - d + 1);
	}
	res = (_r - _l) * (_u - _d);
	if(onDiag(_l, _u, div)) res = (res + 1) / 2; 
	else res = res / 2;
	if(onDiag(l, u, div)){
		res += getArea((_l - l), (u - _u));
		res += getArea((u - _u), (_r - _l) / div / 2 * div);
	} else {
		res += getArea((u - _u), ((_r - _l) / div + 1) / 2 * div);
	} 
	if(onDiag(r, u, div)){
		res += getArea((r - _r), (u - _u));
		res += getArea((r - _r), (_u - _d) / div / 2 * div);
	} else {
		res += (r - _r) * ((_u - _d) / div + 1) / 2 * div;
	}

	if(onDiag(r, d, div)){
		res += getArea((r - _r), (_d - d));
		res += getArea((_d - d), (_r - _l) / div / 2 * div);
	} else {
		res += getArea((_d - d), ((_r - _l) / div + 1) / 2 * div);
	}
	if(onDiag(l, d, div)){
		res += getArea((_l - l), (_d - d));
		res += getArea((_l - l), (_u - _d) / div / 2 * div);
	} else {
		res += getArea((_l - l), ((_u - _d) / div + 1) / 2 * div);
	}
	return res;
}

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), tmp2 = ((N / d) * (N / d)) / 2 * (d * d);
	//cout << "1tmp = " << tmp << endl;
	for(int i = 0; i < K; i++){
		int A = Area(rects[i].l, rects[i].r, rects[i].d, rects[i].u, d), B = rects[i].A - A;
		tmp += B - A;
		tmp2 += A - B;
	}
	return min(tmp, tmp2);
	//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
*/

Compilation message

chessboard.cpp: In function 'long long int check(long long int)':
chessboard.cpp:87:6: warning: unused variable '_ans' [-Wunused-variable]
   87 |  int _ans = maxN * maxN, tmp = ((N / d) * (N / d) + 1) / 2 * (d * d), tmp2 = ((N / d) * (N / d)) / 2 * (d * d);
      |      ^~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 396 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 0 ms 364 KB Output is correct
8 Correct 1 ms 512 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 2796 KB Output is correct
2 Correct 8 ms 1004 KB Output is correct
3 Correct 26 ms 1900 KB Output is correct
4 Correct 19 ms 2156 KB Output is correct
5 Correct 24 ms 2412 KB Output is correct
6 Correct 15 ms 1644 KB Output is correct
7 Correct 4 ms 620 KB Output is correct
8 Correct 15 ms 1644 KB Output is correct
9 Correct 39 ms 3820 KB Output is correct
10 Correct 23 ms 2284 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 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 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 384 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 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 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 384 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 13 ms 1388 KB Output is correct
17 Correct 31 ms 3692 KB Output is correct
18 Correct 45 ms 4204 KB Output is correct
19 Correct 129 ms 3852 KB Output is correct
20 Correct 153 ms 4204 KB Output is correct
21 Correct 45 ms 3564 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 26 ms 1932 KB Output is correct
24 Correct 41 ms 3820 KB Output is correct
25 Correct 6 ms 620 KB Output is correct
26 Correct 26 ms 2540 KB Output is correct
27 Correct 36 ms 3052 KB Output is correct
28 Correct 44 ms 4076 KB Output is correct
29 Correct 17 ms 1644 KB Output is correct
30 Correct 2 ms 492 KB Output is correct

Subtask #5
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 2796 KB Output is correct
2 Correct 8 ms 1004 KB Output is correct
3 Correct 26 ms 1900 KB Output is correct
4 Correct 19 ms 2156 KB Output is correct
5 Correct 24 ms 2412 KB Output is correct
6 Correct 15 ms 1644 KB Output is correct
7 Correct 4 ms 620 KB Output is correct
8 Correct 15 ms 1644 KB Output is correct
9 Correct 39 ms 3820 KB Output is correct
10 Correct 23 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 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 384 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 13 ms 1388 KB Output is correct
27 Correct 31 ms 3692 KB Output is correct
28 Correct 45 ms 4204 KB Output is correct
29 Correct 129 ms 3852 KB Output is correct
30 Correct 153 ms 4204 KB Output is correct
31 Correct 45 ms 3564 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 26 ms 1932 KB Output is correct
34 Correct 41 ms 3820 KB Output is correct
35 Correct 6 ms 620 KB Output is correct
36 Correct 26 ms 2540 KB Output is correct
37 Correct 36 ms 3052 KB Output is correct
38 Correct 44 ms 4076 KB Output is correct
39 Correct 17 ms 1644 KB Output is correct
40 Correct 2 ms 492 KB Output is correct
41 Correct 118 ms 3564 KB Output is correct
42 Correct 48 ms 3948 KB Output is correct
43 Correct 76 ms 3772 KB Output is correct
44 Correct 47 ms 3948 KB Output is correct
45 Correct 41 ms 4204 KB Output is correct
46 Correct 134 ms 4020 KB Output is correct
47 Correct 36 ms 3692 KB Output is correct
48 Correct 60 ms 3692 KB Output is correct
49 Correct 43 ms 3564 KB Output is correct
50 Correct 551 ms 3948 KB Output is correct
51 Correct 588 ms 4204 KB Output is correct
52 Correct 553 ms 3948 KB Output is correct
53 Correct 585 ms 4204 KB Output is correct
54 Correct 544 ms 3948 KB Output is correct
55 Correct 611 ms 4332 KB Output is correct
56 Correct 526 ms 3888 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 396 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 0 ms 364 KB Output is correct
8 Correct 1 ms 512 KB Output is correct
9 Correct 27 ms 2796 KB Output is correct
10 Correct 8 ms 1004 KB Output is correct
11 Correct 26 ms 1900 KB Output is correct
12 Correct 19 ms 2156 KB Output is correct
13 Correct 24 ms 2412 KB Output is correct
14 Correct 15 ms 1644 KB Output is correct
15 Correct 4 ms 620 KB Output is correct
16 Correct 15 ms 1644 KB Output is correct
17 Correct 39 ms 3820 KB Output is correct
18 Correct 23 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 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 384 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 13 ms 1388 KB Output is correct
35 Correct 31 ms 3692 KB Output is correct
36 Correct 45 ms 4204 KB Output is correct
37 Correct 129 ms 3852 KB Output is correct
38 Correct 153 ms 4204 KB Output is correct
39 Correct 45 ms 3564 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 26 ms 1932 KB Output is correct
42 Correct 41 ms 3820 KB Output is correct
43 Correct 6 ms 620 KB Output is correct
44 Correct 26 ms 2540 KB Output is correct
45 Correct 36 ms 3052 KB Output is correct
46 Correct 44 ms 4076 KB Output is correct
47 Correct 17 ms 1644 KB Output is correct
48 Correct 2 ms 492 KB Output is correct
49 Correct 118 ms 3564 KB Output is correct
50 Correct 48 ms 3948 KB Output is correct
51 Correct 76 ms 3772 KB Output is correct
52 Correct 47 ms 3948 KB Output is correct
53 Correct 41 ms 4204 KB Output is correct
54 Correct 134 ms 4020 KB Output is correct
55 Correct 36 ms 3692 KB Output is correct
56 Correct 60 ms 3692 KB Output is correct
57 Correct 43 ms 3564 KB Output is correct
58 Correct 551 ms 3948 KB Output is correct
59 Correct 588 ms 4204 KB Output is correct
60 Correct 553 ms 3948 KB Output is correct
61 Correct 585 ms 4204 KB Output is correct
62 Correct 544 ms 3948 KB Output is correct
63 Correct 611 ms 4332 KB Output is correct
64 Correct 526 ms 3888 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 -