//#pragma GCC optimize("Ofast")
//#pragma GCC target("sse2,avx")
#include <bits/stdc++.h>
#define ll long long
#define db long double
#define pb push_back
#define pf push_front
#define ppb pop_back
#define ppf pop_front
#define fi first
#define se second
#define mp make_pair
#define endl "\n"
//#define int long long
using namespace std;
void dout() {
cerr << endl;
}
template <typename Head, typename... Tail>
void dout(Head H, Tail... T) {
cerr << H << ' ';
dout(T...);
}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int N = 1e5 + 3;
const ll inf = 1e18;
int k, p[2][N], rx[N], ry[N], rx2[N], ry2[N];
ll n, ans = inf, A, Z, S, W, sq_A;
int color(int x, int y) {
return ((x - 1) / A + (y - 1) / A + Z) & 1;
}
int num(int x) {
int z = (x - 1) / A;
return (z & 1);
}
ll getL() {
int x = n / A;
ll a = ((x + 1) >> 1LL) * sq_A;
ll b = (x >> 1LL) * sq_A;
ll res = ((x + 1) >> 1LL) * a + (x >> 1LL) * b;
if (Z == 0) {
return res;
} else {
return n * n - res;
}
}
ll getval(int x, int a, int b) {
if (x < 1) {
return 0;
}
ll res = 0;
int q = (x - 1) / A;
int last = q * A + 1;
if (num(last) == 0) {
res += (x - last + 1) * a;
} else {
res += (x - last + 1) * b;
}
res += (((q + 1) >> 1LL) * a + (q >> 1LL) * b) * A;
return res;
}
ll getans() {
for (int i = 1; i <= n; i++) {
p[0][i] = p[0][i - 1];
p[1][i] = p[1][i - 1];
if (color(i, 1)) {
p[0][i]++;
} else {
p[1][i]++;
}
}
ll res = 0;
for (int i = 0; i < k; i++) {
int v1 = p[0][rx2[i]] - p[0][rx[i] - 1];
int v2 = p[1][rx2[i]] - p[1][rx[i] - 1];
res += getval(ry2[i], v1, v2) - getval(ry[i] - 1, v1, v2);
}
return res;
}
void solve(int tc) {
cin >> n >> k;
for (int i = 0; i < k; i++) {
cin >> rx[i] >> ry[i] >> rx2[i] >> ry2[i];
S += (ll)(rx2[i] - rx[i] + 1) * (ry2[i] - ry[i] + 1);
}
vector <int> factors = {};
for (int i = 1; i < n; i++) {
if (n % i == 0) {
factors.pb(i);
}
}
for (auto i : factors) {
A = i;
sq_A = A * A;
for (int j = 0; j < 2; j++) {
Z = j;
W = getans();
ans = min(ans, W + W + getL() - S);
}
}
cout << ans;
}
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
freopen("input.txt", "r", stdin);
// freopen("output.txt", "w", stdout);
int tc = 1;
// cin >> tc;
for (int i = 0; i < tc; i++) {
solve(i);
// cleanup();
}
}
Compilation message
chessboard.cpp: In function 'int main()':
chessboard.cpp:117:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
freopen("input.txt", "r", stdin);
~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
4 ms |
376 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
4 ms |
376 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
4 ms |
376 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
4 ms |
376 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
4 ms |
376 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
4 ms |
376 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |