#include <bits/stdc++.h>
#define int long long
#define pb push_back
#define mp make_pair
#define all(x) (x).begin(),(x).end()
#define fi first
#define sc second
#define endl "\n"
#define pii pair<int,int>
using namespace std;
const int MAXN = 1e5+5;
const int mod7 = 1e9+7;
const long long inf = 1e18;
struct kvadrat{int x1,y1,x2,y2;};
int n,k;
vector<kvadrat> niz;
long long rez = inf;
/// gornjelevo
int check1(int x, int y, int d)
{
int novox = x/d * d;
int novoy = y/d * d;
int kvadrat1 = ((y/d) * (x/d)+1)/2 * (d*d);
int visina = (x - novox);
int kvadrat2;
if(((x-1)/d+1) % 2 == 1)kvadrat2 = visina * ((novoy / d+1)/2) * d;
else kvadrat2 = visina * ((novoy / d)/2) * d;
int kvadrat3;
visina = (y - novoy);
if(((y-1)/d+1) % 2 == 1)kvadrat3 = visina * ((novox / d+1)/2) * d;
else kvadrat3 = visina * ((novox / d)/2)* d;
int kvadrat4 = 0;
if((((x-1)/d+1) % 2) == (((y-1)/d+1) % 2))kvadrat4 = (x-novox)*(y-novoy);
return kvadrat1+kvadrat2+kvadrat3+ kvadrat4;
}
signed main()
{
ios_base::sync_with_stdio(false),cin.tie(0), cout.tie(0);
int tt=1;
//cin >> tt;
while(tt--)
{
cin >> n >> k;
niz.resize(k);
vector<int> svidelioci;
svidelioci.pb(1);
for(int i=0; i<k; i++)cin >> niz[i].x1 >> niz[i].y1 >> niz[i].x2 >> niz[i].y2;
for(int i=2; i<=sqrt(n); i++)
{
if(n%i == 0)
{
if(n/i == i)svidelioci.pb(i);
else
{
svidelioci.pb(i);
svidelioci.pb(n/i);
}
}
}
sort(all(svidelioci));
for(int x: svidelioci)
{
int guess = ((n/x) * (n/x) + 1) / 2 * x * x;
int guess1 = guess;
for(auto y: niz)
{
int rez1 = check1(y.x2, y.y2, x);
int rez2 = check1(y.x2, y.y1-1, x);
int rez3 = check1(y.x1-1, y.y2, x);
int rez4 = check1(y.x1-1, y.y1-1, x);
int brbelih = rez1 + rez4 - rez2 - rez3;
int brcrnih = (y.x2 - y.x1 + 1) * (y.y2 - y.y1 + 1) - brbelih;
guess = guess - brbelih + brcrnih;
guess1 = guess1 + brbelih - brcrnih;
}
rez = min({rez, guess, guess1});
}
cout << rez << 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
*/
/*
4 1
4 1 4 4
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
19 ms |
3700 KB |
Output is correct |
2 |
Incorrect |
5 ms |
1096 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
19 ms |
3700 KB |
Output is correct |
2 |
Incorrect |
5 ms |
1096 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
348 KB |
Output is correct |
2 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |