This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
long long n, k;
long long ans = LLONG_MAX;
struct square
{
int x, y;
};
vector <square> squares;
void solve(int squareSize)
{
long long idk = (n / squareSize), idk2;
// cout << squareSize << "\n";
if(idk % 2)
idk2 = idk * (idk / 2) + (idk + 1) / 2;
else
idk2 = idk * idk / 2;
// cout << idk << "\n";
long long cnt1 = 1ll * squareSize * squareSize * idk2, cnt2 = 1ll * n * n - cnt1;
// cout << cnt1 << " " << cnt2 << "\n";
for(auto x : squares)
{
long long r1, c1, r2, c2, a, b;
c1 = x.x / squareSize;
r1 = x.x % squareSize;
if(r1)
c1 ++;
a = c1 % 2;
c2 = x.y / squareSize;
r2 = x.y % squareSize;
if(r2)
c2 ++;
b = c2 % 2;
/// incepem cu alb
if(a == 1 && b == 0)
{
// cout << x.x << " " << x.y << "patrat negru\n";
cnt2 --;
}
else if(a == 1 && b == 1)
{
// cout << x.x << " " << x.y << "patrat alb\n";
// patrat alb
cnt2 ++;
}
else if(a == 0 && b == 0)
{
// cout << x.x << " " << x.y << "patrat alb\n";
// patrat alb
cnt2 ++;
}
else
{
// cout << x.x << " " << x.y << "patrat negru\n";
// patrat negru
cnt2 --;
}
/// acum negru
if(a == 1 && b == 0)
{
// cout << x.x << " " << x.y << "patrat alb\n";
// patrat alb
cnt1 ++;
}
else if(a == 1 && b == 1)
{
// cout << x.x << " " << x.y << "patrat negru\n";
// patrat negru
cnt1 --;
}
else if(a == 0 && b == 0)
{
// cout << x.x << " " << x.y << "patrat negru\n";
// patrat negru
cnt1 --;
}
else
{
// cout << x.x << " " << x.y << "patrat alb\n";
// patrat alb
cnt1 ++;
}
}
ans = min(ans, min(cnt1, cnt2));
// cout << cnt1 << " " << cnt2 << "\n\n";
}
int main()
{
ios_base :: sync_with_stdio(0);
cin.tie(0);
//freopen(".in", "r", stdin);
//freopen(".out", "w", stdout);
cin >> n >> k;
for(int i = 1; i <= k; i ++)
{
int x1, y1, x2, y2;
cin >> x1 >> y1 >> x2 >> y2;
squares.pb({x1, y1});
}
long long d = 1;
while(d * d <= n)
{
if(n % d == 0)
solve(d);
if(d != 1 && d * d != n)
solve(n / d);
d ++;
}
cout << ans;
return 0;
}
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