#include <bits/stdc++.h>
using namespace std;
#define LL long long
const int lmax=1999999999;
const long long lmx=1999999999999999999;
const int N=200004;
int n, k, x1[N], y11[N], x2[N], y2[N];
LL ans;
int pos;
LL gety(LL y,LL she){
if(y <= 0) return 0;
LL res = (y / she) / 2 * she;
if((y / she) & 1) res += y % she + 1;
return res;
}
LL getx(LL x,LL she){
if(x <= 0) return 0;
LL res = (x / she) / 2 * she;
if((x / she) & 1) res += x % she + 1;
return res;
}
void solve(int she){
LL odd = 0, even = 0;
for(int i = 1,xx,yy; i <= k; i++){
LL o1 = gety(y2[i], she) - gety(y11[i] - 1, she);
LL e1 = (y2[i] - y11[i] + 1) - o1;
LL o2 = getx(x2[i], she) - getx(x1[i] - 1, she);
LL e2 = (x2[i] - x1[i] + 1) - o2;
xx = x1[i] / she;
yy = y11[i] / she;
if(xx & 1) swap(o1,e1);
if(yy & 1) swap(o2,e2);
LL od = 0, ev = 0;
if((xx + yy) & 1){
od = e1 * e2 + o1 * o2;
}
else{
od = o1 * e2 + e1 * o2;
}
ev = 1LL * (x2[i] - x1[i] + 1) * (y2[i] - y11[i] + 1) - od;
odd += od;
even += ev;
}
LL cnt = 1LL * (n / she) * (n / she);
LL res = min(cnt / 2 * she * she + even - odd, (cnt + 1) / 2 * she * she + odd - even);
if(res < ans){
pos = she;
ans = res;
}
}
int main(){std::ios::sync_with_stdio(false);
cin>>n>>k;
ans=1e18;
for(int i=1;i<=n;i++)
{
cin>>x1[i]>>y11[i]>>x2[i]>>y2[i];
x1[i]--;
y11[i]--;
x2[i]--;
y2[i]--;
}
for(int i=1;i*i<=n;i++)
{
if(n%i==0)
{
solve(i);
if(i>1)
{
solve(n/i);
}
}
}
cout<<ans<<endl;
}
/*
* *
* * * *
* * * *
* * * *
* * * *
* * *
* *
* *
* *
* *
* *
* *
* *
* *
*
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
252 KB |
Output is correct |
2 |
Correct |
2 ms |
356 KB |
Output is correct |
3 |
Correct |
2 ms |
560 KB |
Output is correct |
4 |
Correct |
2 ms |
628 KB |
Output is correct |
5 |
Correct |
2 ms |
628 KB |
Output is correct |
6 |
Correct |
2 ms |
716 KB |
Output is correct |
7 |
Correct |
2 ms |
716 KB |
Output is correct |
8 |
Correct |
2 ms |
716 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
35 ms |
1504 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
2 ms |
1504 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
2 ms |
1504 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
35 ms |
1504 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
252 KB |
Output is correct |
2 |
Correct |
2 ms |
356 KB |
Output is correct |
3 |
Correct |
2 ms |
560 KB |
Output is correct |
4 |
Correct |
2 ms |
628 KB |
Output is correct |
5 |
Correct |
2 ms |
628 KB |
Output is correct |
6 |
Correct |
2 ms |
716 KB |
Output is correct |
7 |
Correct |
2 ms |
716 KB |
Output is correct |
8 |
Correct |
2 ms |
716 KB |
Output is correct |
9 |
Incorrect |
35 ms |
1504 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |