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>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
/*
*/
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
void solve(int test_case)
{
ll n,m; cin >> n >> m;
vector<array<ll,4>> a(m);
rep(i,m) rep(j,4) cin >> a[i][j], a[i][j]--;
vector<ll> p(n+5);
ll ans = inf2;
rep1(k,n-1){
if(n%k) conts;
rep1(i,n){
p[i] = p[i-1];
if(((i-1)/k)&1){
p[i]++;
}
}
ll curr_ans = 0;
rep(i,m){
auto [x1,y1,x2,y2] = a[i];
ll row_odd = p[x2+1]-p[x1];
ll row_even = x2-x1+1-row_odd;
ll col_odd = p[y2+1]-p[y1];
ll col_even = y2-y1+1-col_odd;
curr_ans -= (row_odd*col_even)+(row_even*col_odd);
curr_ans += (row_odd*col_odd)+(row_even*col_even);
}
ll cnt = n/k;
ll black = ceil2(cnt,2)*(cnt/2)*2*k*k;
curr_ans += black;
curr_ans = min(curr_ans,n*n-curr_ans);
amin(ans,curr_ans);
}
cout << ans << endl;
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
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