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*/
/*
* powered by ANDRIY POPYK
* in honor of MYSELF and SEGMENT DECOMPOSITION and N^(log(N)) and (Harry Potter and the Methods of Rationality) and Monkie D. Luffy
*/
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
//#pragma GCC optimize("O3")
//#pragma GCC target("avx,avx2,fma")
//#pragma GCC optimization ("unroll-loops")
//#pragma GCC target("avx,avx2,sse,sse2,sse3,sse4,popcnt")
using namespace std;
using namespace __gnu_pbds;
#define int long long
#define float long double
#define elif else if
#define endl "\n"
#define mod 1000000007
#define pi acos(-1)
#define eps 0.000000001
#define inf 1000'000'000'000'000'000LL
#define FIXED(a) cout << fixed << setprecision(a)
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define time_init auto start = std::chrono::high_resolution_clock::now()
#define time_report \
auto end = std::chrono::high_resolution_clock::now(); \
std::cout << std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count() << " ms" << endl
#define debug(x) \
{ cerr << #x << " = " << x << endl; }
#define len(x) (int) x.size()
#define sqr(x) ((x) * (x))
#define cube(x) ((x) * (x) * (x))
#define bit(x, i) (((x) >> (i)) & 1)
#define set_bit(x, i) ((x) | (1LL << (i)))
#define clear_bit(x, i) ((x) & (~(1LL << (i))))
#define toggle_bit(x, i) ((x) ^ (1LL << (i)))
#define low_bit(x) ((x) & (-(x)))
#define count_bit(x) __builtin_popcountll(x)
#define srt(x) sort(all(x))
#define rsrt(x) sort(rall(x))
#define mp make_pair
#define maxel(x) (*max_element(all(x)))
#define minel(x) (*min_element(all(x)))
#define maxelpos(x) (max_element(all(x)) - x.begin())
#define minelpos(x) (min_element(all(x)) - x.begin())
#define sum(x) (accumulate(all(x), 0LL))
#define product(x) (accumulate(all(x), 1LL, multiplies<int>()))
#define gcd __gcd
#define lcm(a, b) ((a) / gcd(a, b) * (b))
#define rev(x) (reverse(all(x)))
#define shift_left(x, k) (rotate(x.begin(), x.begin() + k, x.end()))
#define shift_right(x, k) (rotate(x.rbegin(), x.rbegin() + k, x.rend()))
#define is_sorted(x) (is_sorted_until(all(x)) == x.end())
#define is_even(x) (((x) &1) == 0)
#define is_odd(x) (((x) &1) == 1)
#define pow2(x) (1LL << (x))
struct custom_hash {
static uint64_t splitmix64(uint64_t x) {
// http://xorshift.di.unimi.it/splitmix64.c
x += 0x9e3779b97f4a7c15;
x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
return x ^ (x >> 31);
}
size_t operator()(uint64_t x) const {
static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
return splitmix64(x + FIXED_RANDOM);
}
};
template<typename T>
using min_heap = priority_queue<T, vector<T>, greater<T>>;
template<typename T>
using max_heap = priority_queue<T, vector<T>, less<T>>;
template<typename T>
using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T>
using ordered_multiset = tree<T, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T>
using matrix = vector<vector<T>>;
template<typename T>
using graph = vector<vector<T>>;
using hashmap = gp_hash_table<int, int, custom_hash>;
template<typename T>
vector<T> vect(int n, T val) {
return vector<T>(n, val);
}
template<typename T>
vector<vector<T>> vect(int n, int m, T val) {
return vector<vector<T>>(n, vector<T>(m, val));
}
template<typename T>
vector<vector<vector<T>>> vect(int n, int m, int k, T val) {
return vector<vector<vector<T>>>(n, vector<vector<T>>(m, vector<T>(k, val)));
}
template<typename T>
vector<vector<vector<vector<T>>>> vect(int n, int m, int k, int l, T val) {
return vector<vector<vector<vector<T>>>>(n, vector<vector<vector<T>>>(m, vector<vector<T>>(k, vector<T>(l, val))));
}
template<typename T>
matrix<T> new_matrix(int n, int m, T val) {
return matrix<T>(n, vector<T>(m, val));
}
template<typename T>
graph<T> new_graph(int n) {
return graph<T>(n);
}
template<class T, class S>
inline bool chmax(T &a, const S &b) {
return (a < b ? a = b, 1 : 0);
}
template<class T, class S>
inline bool chmin(T &a, const S &b) {
return (a > b ? a = b, 1 : 0);
}
using i8 = int8_t;
using i16 = int16_t;
using i32 = int32_t;
using i64 = int64_t;
using i128 = __int128_t;
using u8 = uint8_t;
using u16 = uint16_t;
using u32 = uint32_t;
using u64 = uint64_t;
using u128 = __uint128_t;
template<typename T>
using vec = vector<T>;
using pII = pair<int, int>;
template<typename T>
using enumerated = pair<T, int>;
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
int n, k;
cin >> n >> k;
struct rectangle {
int x1, y1, x2, y2;
};
vec<rectangle> rects(k);
for (int i = 0; i < k; i++) {
cin >> rects[i].x1 >> rects[i].y1 >> rects[i].x2 >> rects[i].y2;
}
int size;
auto get_color = [&](int x, int y) -> bool {
int xb = x / size;
int yb = y / size;
return (xb + yb) % 2;
};
auto calc_pref = [&](int x, int y) -> int {
int cnt = 0;
int xb = x / size;
int yb = y / size;
xb *= size;
yb *= size;
cnt = ((xb / size) * (yb / size) + !get_color(xb, yb)) / 2;
cnt *= size * size;
if (get_color(xb, yb)) {
cnt += ((yb / size) + 1) / 2 * (x - xb) * size;
cnt += ((xb / size) + 1) / 2 * (y - yb) * size;
} else {
cnt += (yb / size) / 2 * (x - xb) * size;
cnt += (xb / size) / 2 * (y - yb) * size;
cnt += (x - xb) * (y - yb);
}
return cnt;
};
auto calc = [&](int x1, int y1, int x2, int y2) -> int {
int cnt = 0;
cnt += calc_pref(x2, y2);
cnt -= calc_pref(x1 - 1, y2);
cnt -= calc_pref(x2, y1 - 1);
cnt += calc_pref(x1 - 1, y1 - 1);
return cnt;
};
vec<int> divs;
for (int i = 1; i * i <= n; i++) {
if (n % i == 0) {
divs.push_back(i);
if (i * i != n) {
divs.push_back(n / i);
}
}
}
srt(divs);
int best = inf;
for (auto d: divs) {
if (d == n) break;
size = d;
int cnt_black = n * n - calc_pref(n, n);
int good = 0;
int ans = 0;
for (auto r: rects) {
int tr = calc(r.x1, r.y1, r.x2, r.y2);
ans += tr;
good += (r.x2 - r.x1 + 1) * (r.y2 - r.y1 + 1) - tr;
}
ans += cnt_black - good;
chmin(best, ans);
chmin(best, n * n - ans);
}
cout << best << endl;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
344 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
19 ms |
2552 KB |
Output is correct |
| 2 |
Correct |
5 ms |
860 KB |
Output is correct |
| 3 |
Correct |
10 ms |
1628 KB |
Output is correct |
| 4 |
Correct |
12 ms |
1884 KB |
Output is correct |
| 5 |
Correct |
15 ms |
2140 KB |
Output is correct |
| 6 |
Correct |
10 ms |
1524 KB |
Output is correct |
| 7 |
Correct |
2 ms |
604 KB |
Output is correct |
| 8 |
Correct |
9 ms |
1372 KB |
Output is correct |
| 9 |
Correct |
28 ms |
3416 KB |
Output is correct |
| 10 |
Correct |
19 ms |
1884 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
1 ms |
348 KB |
Output is correct |
| 5 |
Correct |
1 ms |
356 KB |
Output is correct |
| 6 |
Correct |
1 ms |
344 KB |
Output is correct |
| 7 |
Correct |
1 ms |
344 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
0 ms |
348 KB |
Output is correct |
| 10 |
Correct |
0 ms |
348 KB |
Output is correct |
| 11 |
Correct |
1 ms |
348 KB |
Output is correct |
| 12 |
Correct |
0 ms |
348 KB |
Output is correct |
| 13 |
Correct |
1 ms |
348 KB |
Output is correct |
| 14 |
Correct |
1 ms |
348 KB |
Output is correct |
| 15 |
Correct |
1 ms |
344 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
348 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
348 KB |
Output is correct |
| 4 |
Correct |
1 ms |
348 KB |
Output is correct |
| 5 |
Correct |
1 ms |
356 KB |
Output is correct |
| 6 |
Correct |
1 ms |
344 KB |
Output is correct |
| 7 |
Correct |
1 ms |
344 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
0 ms |
348 KB |
Output is correct |
| 10 |
Correct |
0 ms |
348 KB |
Output is correct |
| 11 |
Correct |
1 ms |
348 KB |
Output is correct |
| 12 |
Correct |
0 ms |
348 KB |
Output is correct |
| 13 |
Correct |
1 ms |
348 KB |
Output is correct |
| 14 |
Correct |
1 ms |
348 KB |
Output is correct |
| 15 |
Correct |
1 ms |
344 KB |
Output is correct |
| 16 |
Correct |
8 ms |
1116 KB |
Output is correct |
| 17 |
Correct |
18 ms |
2908 KB |
Output is correct |
| 18 |
Correct |
27 ms |
3420 KB |
Output is correct |
| 19 |
Correct |
83 ms |
3164 KB |
Output is correct |
| 20 |
Correct |
87 ms |
3416 KB |
Output is correct |
| 21 |
Correct |
18 ms |
2904 KB |
Output is correct |
| 22 |
Correct |
1 ms |
348 KB |
Output is correct |
| 23 |
Correct |
16 ms |
1628 KB |
Output is correct |
| 24 |
Correct |
25 ms |
3164 KB |
Output is correct |
| 25 |
Correct |
4 ms |
604 KB |
Output is correct |
| 26 |
Correct |
16 ms |
2140 KB |
Output is correct |
| 27 |
Correct |
29 ms |
2392 KB |
Output is correct |
| 28 |
Correct |
27 ms |
3416 KB |
Output is correct |
| 29 |
Correct |
8 ms |
1372 KB |
Output is correct |
| 30 |
Correct |
1 ms |
348 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
19 ms |
2552 KB |
Output is correct |
| 2 |
Correct |
5 ms |
860 KB |
Output is correct |
| 3 |
Correct |
10 ms |
1628 KB |
Output is correct |
| 4 |
Correct |
12 ms |
1884 KB |
Output is correct |
| 5 |
Correct |
15 ms |
2140 KB |
Output is correct |
| 6 |
Correct |
10 ms |
1524 KB |
Output is correct |
| 7 |
Correct |
2 ms |
604 KB |
Output is correct |
| 8 |
Correct |
9 ms |
1372 KB |
Output is correct |
| 9 |
Correct |
28 ms |
3416 KB |
Output is correct |
| 10 |
Correct |
19 ms |
1884 KB |
Output is correct |
| 11 |
Correct |
1 ms |
348 KB |
Output is correct |
| 12 |
Correct |
0 ms |
348 KB |
Output is correct |
| 13 |
Correct |
0 ms |
348 KB |
Output is correct |
| 14 |
Correct |
1 ms |
348 KB |
Output is correct |
| 15 |
Correct |
1 ms |
356 KB |
Output is correct |
| 16 |
Correct |
1 ms |
344 KB |
Output is correct |
| 17 |
Correct |
1 ms |
344 KB |
Output is correct |
| 18 |
Correct |
0 ms |
348 KB |
Output is correct |
| 19 |
Correct |
0 ms |
348 KB |
Output is correct |
| 20 |
Correct |
0 ms |
348 KB |
Output is correct |
| 21 |
Correct |
1 ms |
348 KB |
Output is correct |
| 22 |
Correct |
0 ms |
348 KB |
Output is correct |
| 23 |
Correct |
1 ms |
348 KB |
Output is correct |
| 24 |
Correct |
1 ms |
348 KB |
Output is correct |
| 25 |
Correct |
1 ms |
344 KB |
Output is correct |
| 26 |
Correct |
8 ms |
1116 KB |
Output is correct |
| 27 |
Correct |
18 ms |
2908 KB |
Output is correct |
| 28 |
Correct |
27 ms |
3420 KB |
Output is correct |
| 29 |
Correct |
83 ms |
3164 KB |
Output is correct |
| 30 |
Correct |
87 ms |
3416 KB |
Output is correct |
| 31 |
Correct |
18 ms |
2904 KB |
Output is correct |
| 32 |
Correct |
1 ms |
348 KB |
Output is correct |
| 33 |
Correct |
16 ms |
1628 KB |
Output is correct |
| 34 |
Correct |
25 ms |
3164 KB |
Output is correct |
| 35 |
Correct |
4 ms |
604 KB |
Output is correct |
| 36 |
Correct |
16 ms |
2140 KB |
Output is correct |
| 37 |
Correct |
29 ms |
2392 KB |
Output is correct |
| 38 |
Correct |
27 ms |
3416 KB |
Output is correct |
| 39 |
Correct |
8 ms |
1372 KB |
Output is correct |
| 40 |
Correct |
1 ms |
348 KB |
Output is correct |
| 41 |
Correct |
78 ms |
2908 KB |
Output is correct |
| 42 |
Correct |
31 ms |
3160 KB |
Output is correct |
| 43 |
Correct |
49 ms |
2908 KB |
Output is correct |
| 44 |
Correct |
30 ms |
3160 KB |
Output is correct |
| 45 |
Correct |
26 ms |
3420 KB |
Output is correct |
| 46 |
Correct |
78 ms |
3164 KB |
Output is correct |
| 47 |
Correct |
26 ms |
2896 KB |
Output is correct |
| 48 |
Correct |
37 ms |
3164 KB |
Output is correct |
| 49 |
Correct |
26 ms |
2904 KB |
Output is correct |
| 50 |
Correct |
323 ms |
3160 KB |
Output is correct |
| 51 |
Correct |
347 ms |
3480 KB |
Output is correct |
| 52 |
Correct |
319 ms |
3160 KB |
Output is correct |
| 53 |
Correct |
360 ms |
3480 KB |
Output is correct |
| 54 |
Correct |
316 ms |
3248 KB |
Output is correct |
| 55 |
Correct |
350 ms |
3416 KB |
Output is correct |
| 56 |
Correct |
319 ms |
3164 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
344 KB |
Output is correct |
| 2 |
Correct |
0 ms |
348 KB |
Output is correct |
| 3 |
Correct |
0 ms |
344 KB |
Output is correct |
| 4 |
Correct |
0 ms |
348 KB |
Output is correct |
| 5 |
Correct |
0 ms |
348 KB |
Output is correct |
| 6 |
Correct |
0 ms |
348 KB |
Output is correct |
| 7 |
Correct |
0 ms |
348 KB |
Output is correct |
| 8 |
Correct |
0 ms |
348 KB |
Output is correct |
| 9 |
Correct |
19 ms |
2552 KB |
Output is correct |
| 10 |
Correct |
5 ms |
860 KB |
Output is correct |
| 11 |
Correct |
10 ms |
1628 KB |
Output is correct |
| 12 |
Correct |
12 ms |
1884 KB |
Output is correct |
| 13 |
Correct |
15 ms |
2140 KB |
Output is correct |
| 14 |
Correct |
10 ms |
1524 KB |
Output is correct |
| 15 |
Correct |
2 ms |
604 KB |
Output is correct |
| 16 |
Correct |
9 ms |
1372 KB |
Output is correct |
| 17 |
Correct |
28 ms |
3416 KB |
Output is correct |
| 18 |
Correct |
19 ms |
1884 KB |
Output is correct |
| 19 |
Correct |
1 ms |
348 KB |
Output is correct |
| 20 |
Correct |
0 ms |
348 KB |
Output is correct |
| 21 |
Correct |
0 ms |
348 KB |
Output is correct |
| 22 |
Correct |
1 ms |
348 KB |
Output is correct |
| 23 |
Correct |
1 ms |
356 KB |
Output is correct |
| 24 |
Correct |
1 ms |
344 KB |
Output is correct |
| 25 |
Correct |
1 ms |
344 KB |
Output is correct |
| 26 |
Correct |
0 ms |
348 KB |
Output is correct |
| 27 |
Correct |
0 ms |
348 KB |
Output is correct |
| 28 |
Correct |
0 ms |
348 KB |
Output is correct |
| 29 |
Correct |
1 ms |
348 KB |
Output is correct |
| 30 |
Correct |
0 ms |
348 KB |
Output is correct |
| 31 |
Correct |
1 ms |
348 KB |
Output is correct |
| 32 |
Correct |
1 ms |
348 KB |
Output is correct |
| 33 |
Correct |
1 ms |
344 KB |
Output is correct |
| 34 |
Correct |
8 ms |
1116 KB |
Output is correct |
| 35 |
Correct |
18 ms |
2908 KB |
Output is correct |
| 36 |
Correct |
27 ms |
3420 KB |
Output is correct |
| 37 |
Correct |
83 ms |
3164 KB |
Output is correct |
| 38 |
Correct |
87 ms |
3416 KB |
Output is correct |
| 39 |
Correct |
18 ms |
2904 KB |
Output is correct |
| 40 |
Correct |
1 ms |
348 KB |
Output is correct |
| 41 |
Correct |
16 ms |
1628 KB |
Output is correct |
| 42 |
Correct |
25 ms |
3164 KB |
Output is correct |
| 43 |
Correct |
4 ms |
604 KB |
Output is correct |
| 44 |
Correct |
16 ms |
2140 KB |
Output is correct |
| 45 |
Correct |
29 ms |
2392 KB |
Output is correct |
| 46 |
Correct |
27 ms |
3416 KB |
Output is correct |
| 47 |
Correct |
8 ms |
1372 KB |
Output is correct |
| 48 |
Correct |
1 ms |
348 KB |
Output is correct |
| 49 |
Correct |
78 ms |
2908 KB |
Output is correct |
| 50 |
Correct |
31 ms |
3160 KB |
Output is correct |
| 51 |
Correct |
49 ms |
2908 KB |
Output is correct |
| 52 |
Correct |
30 ms |
3160 KB |
Output is correct |
| 53 |
Correct |
26 ms |
3420 KB |
Output is correct |
| 54 |
Correct |
78 ms |
3164 KB |
Output is correct |
| 55 |
Correct |
26 ms |
2896 KB |
Output is correct |
| 56 |
Correct |
37 ms |
3164 KB |
Output is correct |
| 57 |
Correct |
26 ms |
2904 KB |
Output is correct |
| 58 |
Correct |
323 ms |
3160 KB |
Output is correct |
| 59 |
Correct |
347 ms |
3480 KB |
Output is correct |
| 60 |
Correct |
319 ms |
3160 KB |
Output is correct |
| 61 |
Correct |
360 ms |
3480 KB |
Output is correct |
| 62 |
Correct |
316 ms |
3248 KB |
Output is correct |
| 63 |
Correct |
350 ms |
3416 KB |
Output is correct |
| 64 |
Correct |
319 ms |
3164 KB |
Output is correct |
| 65 |
Correct |
0 ms |
348 KB |
Output is correct |
| 66 |
Correct |
0 ms |
348 KB |
Output is correct |
| 67 |
Correct |
348 ms |
3400 KB |
Output is correct |
| 68 |
Correct |
346 ms |
5456 KB |
Output is correct |
| 69 |
Correct |
300 ms |
4696 KB |
Output is correct |
| 70 |
Correct |
339 ms |
5204 KB |
Output is correct |
| 71 |
Correct |
336 ms |
5204 KB |
Output is correct |
| 72 |
Correct |
326 ms |
5200 KB |
Output is correct |
| 73 |
Correct |
321 ms |
4948 KB |
Output is correct |
| 74 |
Correct |
347 ms |
5468 KB |
Output is correct |
| 75 |
Correct |
328 ms |
5104 KB |
Output is correct |
| 76 |
Correct |
349 ms |
5556 KB |
Output is correct |
| 77 |
Correct |
66 ms |
5812 KB |
Output is correct |
| 78 |
Correct |
30 ms |
5204 KB |
Output is correct |
| 79 |
Correct |
47 ms |
4956 KB |
Output is correct |
| 80 |
Correct |
49 ms |
5208 KB |
Output is correct |
| 81 |
Correct |
45 ms |
4948 KB |
Output is correct |
| 82 |
Correct |
44 ms |
5464 KB |
Output is correct |
| 83 |
Correct |
33 ms |
5200 KB |
Output is correct |
| 84 |
Correct |
212 ms |
5724 KB |
Output is correct |
| 85 |
Correct |
366 ms |
5712 KB |
Output is correct |
| 86 |
Correct |
1 ms |
344 KB |
Output is correct |
| 87 |
Correct |
1 ms |
348 KB |
Output is correct |
| 88 |
Correct |
373 ms |
5980 KB |
Output is correct |
| 89 |
Correct |
70 ms |
1412 KB |
Output is correct |
| 90 |
Correct |
1 ms |
344 KB |
Output is correct |
