oj.uz

Submission #378638

# Submission time Handle Problem Language Result Execution time Memory
378638 2021-03-17T02:36:51 Z Seanliu Chessboard (IZhO18_chessboard) C++14
70 / 100
 526 ms 4300 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);
	}
	assert(false);
	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:88:6: warning: unused variable '_ans' [-Wunused-variable]
   88 |  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 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 0 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 0 ms 364 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 7 ms 1004 KB Output is correct
3 Correct 17 ms 1900 KB Output is correct
4 Correct 18 ms 2156 KB Output is correct
5 Correct 26 ms 2540 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 42 ms 3820 KB Output is correct
10 Correct 21 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 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 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 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 12 ms 1388 KB Output is correct
17 Correct 30 ms 3740 KB Output is correct
18 Correct 42 ms 4204 KB Output is correct
19 Correct 114 ms 3820 KB Output is correct
20 Correct 124 ms 4204 KB Output is correct
21 Correct 29 ms 3564 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 25 ms 2028 KB Output is correct
24 Correct 40 ms 3820 KB Output is correct
25 Correct 5 ms 620 KB Output is correct
26 Correct 24 ms 2540 KB Output is correct
27 Correct 35 ms 3052 KB Output is correct
28 Correct 44 ms 4204 KB Output is correct
29 Correct 16 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 7 ms 1004 KB Output is correct
3 Correct 17 ms 1900 KB Output is correct
4 Correct 18 ms 2156 KB Output is correct
5 Correct 26 ms 2540 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 42 ms 3820 KB Output is correct
10 Correct 21 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 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 12 ms 1388 KB Output is correct
27 Correct 30 ms 3740 KB Output is correct
28 Correct 42 ms 4204 KB Output is correct
29 Correct 114 ms 3820 KB Output is correct
30 Correct 124 ms 4204 KB Output is correct
31 Correct 29 ms 3564 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 25 ms 2028 KB Output is correct
34 Correct 40 ms 3820 KB Output is correct
35 Correct 5 ms 620 KB Output is correct
36 Correct 24 ms 2540 KB Output is correct
37 Correct 35 ms 3052 KB Output is correct
38 Correct 44 ms 4204 KB Output is correct
39 Correct 16 ms 1644 KB Output is correct
40 Correct 2 ms 492 KB Output is correct
41 Correct 106 ms 3564 KB Output is correct
42 Correct 49 ms 3948 KB Output is correct
43 Correct 71 ms 3564 KB Output is correct
44 Correct 45 ms 3948 KB Output is correct
45 Correct 41 ms 4204 KB Output is correct
46 Correct 129 ms 3948 KB Output is correct
47 Correct 37 ms 3692 KB Output is correct
48 Correct 57 ms 3692 KB Output is correct
49 Correct 42 ms 3564 KB Output is correct
50 Correct 478 ms 3948 KB Output is correct
51 Correct 525 ms 4180 KB Output is correct
52 Correct 479 ms 3920 KB Output is correct
53 Correct 510 ms 4076 KB Output is correct
54 Correct 471 ms 3948 KB Output is correct
55 Correct 526 ms 4300 KB Output is correct
56 Correct 456 ms 3768 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 0 ms 364 KB Output is correct
3 Correct 0 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 0 ms 364 KB Output is correct
9 Correct 27 ms 2796 KB Output is correct
10 Correct 7 ms 1004 KB Output is correct
11 Correct 17 ms 1900 KB Output is correct
12 Correct 18 ms 2156 KB Output is correct
13 Correct 26 ms 2540 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 42 ms 3820 KB Output is correct
18 Correct 21 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 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 12 ms 1388 KB Output is correct
35 Correct 30 ms 3740 KB Output is correct
36 Correct 42 ms 4204 KB Output is correct
37 Correct 114 ms 3820 KB Output is correct
38 Correct 124 ms 4204 KB Output is correct
39 Correct 29 ms 3564 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 25 ms 2028 KB Output is correct
42 Correct 40 ms 3820 KB Output is correct
43 Correct 5 ms 620 KB Output is correct
44 Correct 24 ms 2540 KB Output is correct
45 Correct 35 ms 3052 KB Output is correct
46 Correct 44 ms 4204 KB Output is correct
47 Correct 16 ms 1644 KB Output is correct
48 Correct 2 ms 492 KB Output is correct
49 Correct 106 ms 3564 KB Output is correct
50 Correct 49 ms 3948 KB Output is correct
51 Correct 71 ms 3564 KB Output is correct
52 Correct 45 ms 3948 KB Output is correct
53 Correct 41 ms 4204 KB Output is correct
54 Correct 129 ms 3948 KB Output is correct
55 Correct 37 ms 3692 KB Output is correct
56 Correct 57 ms 3692 KB Output is correct
57 Correct 42 ms 3564 KB Output is correct
58 Correct 478 ms 3948 KB Output is correct
59 Correct 525 ms 4180 KB Output is correct
60 Correct 479 ms 3920 KB Output is correct
61 Correct 510 ms 4076 KB Output is correct
62 Correct 471 ms 3948 KB Output is correct
63 Correct 526 ms 4300 KB Output is correct
64 Correct 456 ms 3768 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 -