// author : lox
#pragma GCC optimize("O3")
#pragma GCC target("popcnt")
#include <bits/stdc++.h>
using namespace std;
#define IZhO_SILVER ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define popcnt __builtin_popcount
#define all(a) a.begin(),a.end()
#define low_b lower_bound
#define up_b upper_bound
#define vii vector<pair<ll,ll>>
#define vll vector<pair<ll,ll>>
#define pii pair<ll,ll>
#define mii map<ll,ll>
#define pll pair<ll,ll>
#define mll map<ll,ll>
#define vi vector<ll>
#define vl vector<ll>
#define pb push_back
#define endl '\n'
#define Y second
#define X first
typedef long double ld;
typedef long long ll;
const long long dx[4]={1,-1,0,0},dy[4]={0,0,1,-1},col=107,N=1e6+777;
const ll mod=1e9+7,inf=1e18;
void fre_open(){freopen("file.in","r",stdin);freopen("file.out","w",stdout);}
ll binpow(ll n,ll k){if(k<0)return 0ll;if(k==0)return 1ll;if(k%2)return (binpow(n,k-1)*n)%mod;ll kk=binpow(n,k/2)%mod;return (kk*kk)%mod;}
int a[2001][2001];
int n,k;
ll pr(ll x){
for(ll i=2; i*i<=x; ++i) if(x%i==0)return 0ll;
return 1ll;
}
void solve(){
cin>>n>>k;
if(k==0){
int x=n*n/2;
for(int i=n/2; i>=1; --i)if(n%i==0)x=min(x,i*i*((n/i)*(n/i)/2));
cout<<x;
return;
}
if(pr(n)){
ll x=n*n/2;
ll x2=x+1;
for(ll c=0, i1,i2,j1,j2;c<k; ++c){
cin>>i1>>j1>>i2>>j2;
for(ll i=i1; i<=i2; ++i)
for(ll j=j1; j<=j2; ++j)
{
if(i%2==j%2) x++,x2--;
if(i%2!=j%2) x2++,x--;
}
}
cout<<min(x,x2);
return;
}
for(int i=1; i<=k; ++i){
ll x,y,tox,toy;
cin>>x>>y>>tox>>toy;
a[x][y]=1;
}
int ans=mod-10;
for(int d=1; d*d<=n; ++d){
if(n%d!=0) continue;
int res=0,res2=0;
for(int i=1; i<=n; ++i){
for(int j=1; j<=n; ++j){
int x=(i+(d-1))/d;
int y=(j+(d-1))/d;
if((x+y)%2 && a[i][j]) ++res2;
if((x+y)%2 && !a[i][j]) ++res;
if(!((x+y)%2) && a[i][j]) ++res;
if(!((x+y)%2) && !a[i][j]) ++res2;
}
}
ans=min({ans,res,res2});
//cout<<d<<' '<<res<<' '<<res2<<endl;
int f=n/d;
res=0,res2=0;
for(int i=1; i<=n; ++i){
for(int j=1; j<=n; ++j){
int x=(i+(f-1))/f;
int y=(j+(f-1))/f;
if((x+y)%2 && a[i][j]) ++res2;
if((x+y)%2 && !a[i][j]) ++res;
if(!((x+y)%2) && a[i][j]) ++res;
if(!((x+y)%2) && !a[i][j]) ++res2;
}
}
if(d==1){
ans=min(ans,max(res,res2));
continue;
}
ans=min({ans,res,res2});
//cout<<d<<' '<<res<<' '<<res2<<endl;
}
cout<<ans<<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*/
int main() {
//fre_open();
IZhO_SILVER;
ll tt=1;
//cin>>tt;
while(tt--) solve();
}
Compilation message
chessboard.cpp: In function 'void fre_open()':
chessboard.cpp:27:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
27 | void fre_open(){freopen("file.in","r",stdin);freopen("file.out","w",stdout);}
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
chessboard.cpp:27:53: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
27 | void fre_open(){freopen("file.in","r",stdin);freopen("file.out","w",stdout);}
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
21 ms |
204 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
588 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
588 KB |
Output is correct |
4 |
Correct |
1 ms |
588 KB |
Output is correct |
5 |
Correct |
1 ms |
588 KB |
Output is correct |
6 |
Correct |
1 ms |
588 KB |
Output is correct |
7 |
Correct |
1 ms |
588 KB |
Output is correct |
8 |
Correct |
1 ms |
588 KB |
Output is correct |
9 |
Correct |
1 ms |
588 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
588 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
588 KB |
Output is correct |
14 |
Correct |
1 ms |
588 KB |
Output is correct |
15 |
Correct |
1 ms |
460 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
588 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
588 KB |
Output is correct |
4 |
Correct |
1 ms |
588 KB |
Output is correct |
5 |
Correct |
1 ms |
588 KB |
Output is correct |
6 |
Correct |
1 ms |
588 KB |
Output is correct |
7 |
Correct |
1 ms |
588 KB |
Output is correct |
8 |
Correct |
1 ms |
588 KB |
Output is correct |
9 |
Correct |
1 ms |
588 KB |
Output is correct |
10 |
Correct |
0 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
588 KB |
Output is correct |
12 |
Correct |
0 ms |
204 KB |
Output is correct |
13 |
Correct |
1 ms |
588 KB |
Output is correct |
14 |
Correct |
1 ms |
588 KB |
Output is correct |
15 |
Correct |
1 ms |
460 KB |
Output is correct |
16 |
Correct |
31 ms |
7372 KB |
Output is correct |
17 |
Correct |
19 ms |
204 KB |
Output is correct |
18 |
Correct |
54 ms |
8056 KB |
Output is correct |
19 |
Correct |
161 ms |
7628 KB |
Output is correct |
20 |
Correct |
163 ms |
7656 KB |
Output is correct |
21 |
Correct |
19 ms |
320 KB |
Output is correct |
22 |
Correct |
88 ms |
1868 KB |
Output is correct |
23 |
Correct |
54 ms |
7652 KB |
Output is correct |
24 |
Correct |
50 ms |
8184 KB |
Output is correct |
25 |
Correct |
44 ms |
7064 KB |
Output is correct |
26 |
Correct |
38 ms |
7584 KB |
Output is correct |
27 |
Correct |
50 ms |
7684 KB |
Output is correct |
28 |
Correct |
49 ms |
7672 KB |
Output is correct |
29 |
Correct |
11 ms |
316 KB |
Output is correct |
30 |
Correct |
24 ms |
5468 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
21 ms |
204 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
1 ms |
204 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
0 ms |
204 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Incorrect |
21 ms |
204 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |