#include <bits/stdc++.h>
#define pb push_back
#define LL long long
#define Kultivator ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define int LL
using namespace std;
const LL Mxn = 1e6 + 7;
const LL Mod = 1e9 + 7;
const LL Inf = 1e14 + 7;
bool Prime(int N){
bool Used = false;
for(int i = 2; i <= sqrt(N); i++){
if(N % i == 0){
Used = true;
break;
}
}
return Used;
}
bool Get(int x, int y, int d){
return (x / d + y / d) % 2;
}
void Ans1(int N){
int Ans = Mxn;
for(int i = 1; i < N; i++){
if(N % i == 0){
Ans = min(Ans, (N * N) / (2 * i * i) * (i * i));
}
}
cout << Ans;
}
void Ans2(int N, int K){
LL Cnt1 = 0, Cnt2 = 0;
for(int i = 1, x1, y1, x2, y2; i <= K; i++){
cin >> x1 >> y1 >> x2 >> y2;
bool Num = Get(x2, y2, 1);
if(!Num){
Cnt1++;
} else {
Cnt2++;
}
}
cout << min(N * N / 2 - Cnt2 + Cnt1, N * N / 2 + 1 - Cnt1 + Cnt2);
}
void Ans3(int N, int K){
int Ans = LONG_MAX;
vector <int> F;
vector <pair <int, int>> P(N, {0, 0});
for(int i = 1; i <= sqrt(N); i++){
if(N % i == 0){
F.pb(i);
if(N / i != i && i > 1){
F.pb(N / i);
}
}
}
for(int i = 1, x1, y1, x2, y2; i <= K; i++){
cin >> x1 >> y1 >> x2 >> y2;
for(auto i : F){
if(((x+d-1)/d+(y+d-1)/d) % 2){
P[i].first++;
} else {
P[i].second++;
}
}
}
for(auto i : F){
Ans = min(Ans, ((N * N) / (2 * i * i)) + (i * i) + P[i].first - P[i].second);
Ans = min(Ans, ((N * N) / (2 * i * i)) - P[i].first + P[i].second);
}
cout << Ans;
}
signed main(){
Kultivator;
LL N, K;
cin >> N >> K;
if(!K){
Ans1(N);
} else if(!Prime(N)){
Ans2(N, K);
} else {
Ans3(N, K);
}
}
Compilation message
chessboard.cpp: In function 'void Ans3(long long int, long long int)':
chessboard.cpp:67:18: error: 'x' was not declared in this scope
67 | if(((x+d-1)/d+(y+d-1)/d) % 2){
| ^
chessboard.cpp:67:20: error: 'd' was not declared in this scope
67 | if(((x+d-1)/d+(y+d-1)/d) % 2){
| ^
chessboard.cpp:67:28: error: 'y' was not declared in this scope
67 | if(((x+d-1)/d+(y+d-1)/d) % 2){
| ^