Submission #1132989

#TimeUsernameProblemLanguageResultExecution timeMemory
1132989AgageldiChessboard (IZhO18_chessboard)C++17
39 / 100
192 ms23880 KiB
/*
TASK: siuu
*/
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define N 400005
#define ff first
#define ss second
#define pb push_back
#define sz(s) (int)s.size()
#define rep(c, a, b) for(c = a; c <= b; c++)

ll n, t, a[6000][6000], b[6000][6000], answer, k, jogap;
   
void solve1(int x,int bal) {
	bool tr = 0, tp = 0;
	if(!bal) tr = 1;
	ll ans = 0;
	for(int i = 1; i <= n; i++) {
		tp = tr;
		for(int j = 1; j <= n; j++) {
			if(tp == 0) b[i][j] = 0;
			else b[i][j] = 1;
			if(j % x == 0) tp = 1 - tp;
			if(a[i][j]!=b[i][j]) ans++;
		}
		if(i % x == 0) tr = 1 - tr;
	}
	answer = min(ans,answer);
}

int main () {
	ios::sync_with_stdio(0);cin.tie(0);
	cin >> n >> k;
	for(int i = 1; i <= k; i++) {
		int x1, x2,y1,y2;
		cin >> x1 >> y1 >> x2 >> y2;
		if(x1 % 2 == y1 % 2) answer++;
		else jogap++;
		if(n >= 4e3) continue;
		for(int j = x1; j <= x2; j++) {
			for(int l = y1; l <= y2; l++) {
				a[j][l] = 1;
			}
		}
	}
	if(n >= 4e3) {
		cout << min(n/2 * n/2 - jogap + answer,(n + 1)/2 * (n + 1)/2 - answer + jogap) << '\n';
		return 0;
	}
	answer = INT_MAX;
	for(int i = 1; i * i <= n; i++) {
		if(n % i == 0) {
			solve1(i, 1);
			solve1(i, 0);
			if(i != 1){
				solve1(n/i,1);
				solve1(n/i,0);
			}
		}
	}
	cout << answer << '\n';
}
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