Submission #338433

# Submission time Handle Problem Language Result Execution time Memory
338433 2020-12-23T06:07:53 Z kutbilim_one Chessboard (IZhO18_chessboard) C++14
16 / 100
32 ms 492 KB
/** 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+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) - sides[d].second + sides[d].first
		); 
		if((n*n)/(d*d) % 2 == 1) 
		result = min(
			result,
			((n*n)/(d*d)/2)*(d*d)+(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;
}
# 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 0 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 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 22 ms 364 KB Output is correct
2 Correct 7 ms 364 KB Output is correct
3 Correct 14 ms 492 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 16 ms 364 KB Output is correct
9 Correct 32 ms 364 KB Output is correct
10 Correct 18 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 364 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 364 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 22 ms 364 KB Output is correct
2 Correct 7 ms 364 KB Output is correct
3 Correct 14 ms 492 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 16 ms 364 KB Output is correct
9 Correct 32 ms 364 KB Output is correct
10 Correct 18 ms 364 KB Output is correct
11 Incorrect 1 ms 364 KB Output isn't correct
12 Halted 0 ms 0 KB -
# 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 0 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 364 KB Output is correct
9 Correct 22 ms 364 KB Output is correct
10 Correct 7 ms 364 KB Output is correct
11 Correct 14 ms 492 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 16 ms 364 KB Output is correct
17 Correct 32 ms 364 KB Output is correct
18 Correct 18 ms 364 KB Output is correct
19 Incorrect 1 ms 364 KB Output isn't correct
20 Halted 0 ms 0 KB -