답안 #338439

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
338439	2020-12-23T06:13:33 Z	kutbilim_one	Chessboard (IZhO18_chessboard)	C++14	70 / 100	2000 ms	4204 KB

chessboard

/** kutbilim.one **/
#include <bits/stdc++.h>

using namespace std;

#define all(x) x.begin(),x.end()
#define int long long
#define endl '\n'
  /*                        
ifstream in("test.txt"); 
#define cin in              

const signed MAX = 1001;
vector< vector<signed> > a(MAX, vector<signed> (MAX, 0));	
*/
int n, k;

bool isprime(int n){
	if(n == 2) return true;
	for(int i = 2; i*i <= n; i++)
		if(n%i == 0) return false;
	return true;
}

void solve_1(){
	int result = INT_MAX;
	for(int i = 1; i < n; i++){
		if(n%i) continue;
		result = min(result, ((n*n)/(i*i)/2)*(i*i));
	}		
	cout << result;
}

void solve_2(){
	int cnt[2] = {0, 0};
	for(int i = 1; i <= k; i++){
		int x1, y1, x2, y2;
		cin >> x1 >> y1 >> x2 >> y2;
		for(int x = x1; x <= x2; x++)
		for(int y = y1; y <= y2; y++){
			//a[x][y] = 1;
			cnt[(x+y)%2]++;	
		} 				
	}
	
	cout << min(n*n/2-cnt[1] + cnt[0], n*n/2+1-cnt[0] + cnt[1]);
}

void solve_3_4(){
	vector<pair<int, int>> sides(n, {0, 0}); 
	vector<int> f;
	for(int i = 1; i*i <= n; i++){
		if(n % i == 0){
			f.push_back(i);
			if(i != 1) f.push_back(n/i);
		}
	}	

	for(int i = 1; i <= k; i++){
		int x1, y1, x2, y2;
		cin >> x1 >> y1 >> x2 >> y2;
		for(int x = x1; x <= x2; x++)
		for(int y = y1; y <= y2; y++){
			//a[x][y] = 1;	
			for(auto d : f){
				if(((x+d-1)/d+(y+d-1)/d) % 2) sides[d].first++;
				else sides[d].second++; 
			}
		} 				
	}

	int result = LONG_MAX;
	for(auto d : f){
		result = min(
			result,
			((n*n)/(d*d)/2)*(d*d)+(d*d) - sides[d].second + sides[d].first
		);  
		result = min(
			result,
			((n*n)/(d*d)/2)*(d*d) - sides[d].first + sides[d].second
		);
	}
	cout << result;
}

signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    
    cin >> n >> k;
    
    if(k == 0){
    	solve_1();
    }else if(isprime(n)){
    	solve_2();
    }else{
    	solve_3_4();
    }
    
    return 0;
}

Subtask #1
8.0 / 8.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	0 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	0 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

#	결과	실행 시간	메모리	Grader output
1	Correct	22 ms	364 KB	Output is correct
2	Correct	6 ms	364 KB	Output is correct
3	Correct	16 ms	364 KB	Output is correct
4	Correct	15 ms	364 KB	Output is correct
5	Correct	19 ms	364 KB	Output is correct
6	Correct	12 ms	364 KB	Output is correct
7	Correct	3 ms	364 KB	Output is correct
8	Correct	13 ms	364 KB	Output is correct
9	Correct	34 ms	364 KB	Output is correct
10	Correct	18 ms	384 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	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	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

#	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	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	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	11 ms	364 KB	Output is correct
17	Correct	25 ms	364 KB	Output is correct
18	Correct	34 ms	364 KB	Output is correct
19	Correct	65 ms	364 KB	Output is correct
20	Correct	73 ms	364 KB	Output is correct
21	Correct	24 ms	364 KB	Output is correct
22	Correct	1 ms	364 KB	Output is correct
23	Correct	17 ms	364 KB	Output is correct
24	Correct	30 ms	364 KB	Output is correct
25	Correct	4 ms	364 KB	Output is correct
26	Correct	19 ms	364 KB	Output is correct
27	Correct	25 ms	364 KB	Output is correct
28	Correct	32 ms	364 KB	Output is correct
29	Correct	10 ms	364 KB	Output is correct
30	Correct	1 ms	364 KB	Output is correct

Subtask #5
23.0 / 23.0

#	결과	실행 시간	메모리	Grader output
1	Correct	22 ms	364 KB	Output is correct
2	Correct	6 ms	364 KB	Output is correct
3	Correct	16 ms	364 KB	Output is correct
4	Correct	15 ms	364 KB	Output is correct
5	Correct	19 ms	364 KB	Output is correct
6	Correct	12 ms	364 KB	Output is correct
7	Correct	3 ms	364 KB	Output is correct
8	Correct	13 ms	364 KB	Output is correct
9	Correct	34 ms	364 KB	Output is correct
10	Correct	18 ms	384 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	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	11 ms	364 KB	Output is correct
27	Correct	25 ms	364 KB	Output is correct
28	Correct	34 ms	364 KB	Output is correct
29	Correct	65 ms	364 KB	Output is correct
30	Correct	73 ms	364 KB	Output is correct
31	Correct	24 ms	364 KB	Output is correct
32	Correct	1 ms	364 KB	Output is correct
33	Correct	17 ms	364 KB	Output is correct
34	Correct	30 ms	364 KB	Output is correct
35	Correct	4 ms	364 KB	Output is correct
36	Correct	19 ms	364 KB	Output is correct
37	Correct	25 ms	364 KB	Output is correct
38	Correct	32 ms	364 KB	Output is correct
39	Correct	10 ms	364 KB	Output is correct
40	Correct	1 ms	364 KB	Output is correct
41	Correct	64 ms	1900 KB	Output is correct
42	Correct	39 ms	4204 KB	Output is correct
43	Correct	46 ms	3948 KB	Output is correct
44	Correct	38 ms	4076 KB	Output is correct
45	Correct	36 ms	2668 KB	Output is correct
46	Correct	72 ms	4076 KB	Output is correct
47	Correct	30 ms	2412 KB	Output is correct
48	Correct	42 ms	3948 KB	Output is correct
49	Correct	35 ms	3948 KB	Output is correct
50	Correct	235 ms	3948 KB	Output is correct
51	Correct	249 ms	4096 KB	Output is correct
52	Correct	259 ms	3820 KB	Output is correct
53	Correct	248 ms	4076 KB	Output is correct
54	Correct	229 ms	3820 KB	Output is correct
55	Correct	260 ms	4204 KB	Output is correct
56	Correct	225 ms	3820 KB	Output is correct

Subtask #6
0 / 30.0

#	결과	실행 시간	메모리	Grader output
1	Correct	0 ms	364 KB	Output is correct
2	Correct	1 ms	364 KB	Output is correct
3	Correct	0 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	0 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	22 ms	364 KB	Output is correct
10	Correct	6 ms	364 KB	Output is correct
11	Correct	16 ms	364 KB	Output is correct
12	Correct	15 ms	364 KB	Output is correct
13	Correct	19 ms	364 KB	Output is correct
14	Correct	12 ms	364 KB	Output is correct
15	Correct	3 ms	364 KB	Output is correct
16	Correct	13 ms	364 KB	Output is correct
17	Correct	34 ms	364 KB	Output is correct
18	Correct	18 ms	384 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	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	11 ms	364 KB	Output is correct
35	Correct	25 ms	364 KB	Output is correct
36	Correct	34 ms	364 KB	Output is correct
37	Correct	65 ms	364 KB	Output is correct
38	Correct	73 ms	364 KB	Output is correct
39	Correct	24 ms	364 KB	Output is correct
40	Correct	1 ms	364 KB	Output is correct
41	Correct	17 ms	364 KB	Output is correct
42	Correct	30 ms	364 KB	Output is correct
43	Correct	4 ms	364 KB	Output is correct
44	Correct	19 ms	364 KB	Output is correct
45	Correct	25 ms	364 KB	Output is correct
46	Correct	32 ms	364 KB	Output is correct
47	Correct	10 ms	364 KB	Output is correct
48	Correct	1 ms	364 KB	Output is correct
49	Correct	64 ms	1900 KB	Output is correct
50	Correct	39 ms	4204 KB	Output is correct
51	Correct	46 ms	3948 KB	Output is correct
52	Correct	38 ms	4076 KB	Output is correct
53	Correct	36 ms	2668 KB	Output is correct
54	Correct	72 ms	4076 KB	Output is correct
55	Correct	30 ms	2412 KB	Output is correct
56	Correct	42 ms	3948 KB	Output is correct
57	Correct	35 ms	3948 KB	Output is correct
58	Correct	235 ms	3948 KB	Output is correct
59	Correct	249 ms	4096 KB	Output is correct
60	Correct	259 ms	3820 KB	Output is correct
61	Correct	248 ms	4076 KB	Output is correct
62	Correct	229 ms	3820 KB	Output is correct
63	Correct	260 ms	4204 KB	Output is correct
64	Correct	225 ms	3820 KB	Output is correct
65	Correct	1 ms	364 KB	Output is correct
66	Correct	1 ms	364 KB	Output is correct
67	Execution timed out	2088 ms	1644 KB	Time limit exceeded
68	Halted	0 ms	0 KB	-

답안 #338439

Compilation message

Subtask #1 8.0 / 8.0

Subtask #2 8.0 / 8.0

Subtask #3 15.0 / 15.0

Subtask #4 16.0 / 16.0

Subtask #5 23.0 / 23.0

Subtask #6 0 / 30.0

Subtask #1
8.0 / 8.0

Subtask #2
8.0 / 8.0

Subtask #3
15.0 / 15.0

Subtask #4
16.0 / 16.0

Subtask #5
23.0 / 23.0

Subtask #6
0 / 30.0