//#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;
struct rect {
int x = 0, y = 0, x2 = 0, y2 = 0;
};
int k, p[2][N];
ll n, ans = inf, A, Z, S, W, B, L;
vector <rect> v;
int color(int x, int y) {
int z = (x - 1) / A;
int w = (y - 1) / A;
return ((z + w + Z) & 1);
}
int num(int x) {
int z = (x - 1) / A;
return (z & 1);
}
ll getL() {
int x = n / A;
ll a = ((x + 1) / 2) * A * A;
ll b = (x / 2) * A * A;
ll res = ((x + 1) / 2) * a + (x / 2) * 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 last = ((x - 1) / A) * A + 1;
if (num(last) == 0) {
res += (x - last + 1) * a;
} else {
res += (x - last + 1) * b;
}
int q = (last - 1) / A;
res += ((q + 1) / 2) * A * a;
res += (q / 2) * A * b;
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 (auto i : v) {
int x = i.x, y = i.y, x2 = i.x2, y2 = i.y2;
int v1 = p[0][x2] - p[0][x - 1];
int v2 = p[1][x2] - p[1][x - 1];
res += getval(y2, v1, v2) - getval(y - 1, v1, v2);
}
return res;
}
void solve(int tc) {
cin >> n >> k;
for (int i = 0; i < k; i++) {
rect tmp;
cin >> tmp.x >> tmp.y >> tmp.x2 >> tmp.y2;
S += (ll)(tmp.x2 - tmp.x + 1) * (tmp.y2 - tmp.y + 1);
v.pb(tmp);
}
vector <int> factors = {};
for (int i = 1; i < n; i++) {
if (n % i == 0) {
factors.pb(i);
}
}
for (auto i : factors) {
A = i;
for (int j = 0; j < 2; j++) {
Z = j;
L = getL();
W = getans();
B = L - (S - W);
ans = min(ans, W + B);
}
}
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();
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
376 KB |
Output is correct |
5 |
Correct |
2 ms |
376 KB |
Output is correct |
6 |
Correct |
2 ms |
380 KB |
Output is correct |
7 |
Correct |
2 ms |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
376 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
48 ms |
3436 KB |
Output is correct |
2 |
Correct |
13 ms |
1400 KB |
Output is correct |
3 |
Correct |
30 ms |
2672 KB |
Output is correct |
4 |
Correct |
29 ms |
2292 KB |
Output is correct |
5 |
Correct |
40 ms |
3052 KB |
Output is correct |
6 |
Correct |
27 ms |
2292 KB |
Output is correct |
7 |
Correct |
8 ms |
888 KB |
Output is correct |
8 |
Correct |
28 ms |
2472 KB |
Output is correct |
9 |
Correct |
61 ms |
4208 KB |
Output is correct |
10 |
Correct |
35 ms |
2796 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
3 ms |
376 KB |
Output is correct |
4 |
Correct |
4 ms |
376 KB |
Output is correct |
5 |
Correct |
3 ms |
376 KB |
Output is correct |
6 |
Correct |
2 ms |
376 KB |
Output is correct |
7 |
Correct |
3 ms |
376 KB |
Output is correct |
8 |
Correct |
3 ms |
376 KB |
Output is correct |
9 |
Correct |
3 ms |
376 KB |
Output is correct |
10 |
Correct |
2 ms |
376 KB |
Output is correct |
11 |
Correct |
2 ms |
376 KB |
Output is correct |
12 |
Correct |
2 ms |
380 KB |
Output is correct |
13 |
Correct |
3 ms |
432 KB |
Output is correct |
14 |
Correct |
3 ms |
376 KB |
Output is correct |
15 |
Correct |
3 ms |
396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
3 ms |
376 KB |
Output is correct |
4 |
Correct |
4 ms |
376 KB |
Output is correct |
5 |
Correct |
3 ms |
376 KB |
Output is correct |
6 |
Correct |
2 ms |
376 KB |
Output is correct |
7 |
Correct |
3 ms |
376 KB |
Output is correct |
8 |
Correct |
3 ms |
376 KB |
Output is correct |
9 |
Correct |
3 ms |
376 KB |
Output is correct |
10 |
Correct |
2 ms |
376 KB |
Output is correct |
11 |
Correct |
2 ms |
376 KB |
Output is correct |
12 |
Correct |
2 ms |
380 KB |
Output is correct |
13 |
Correct |
3 ms |
432 KB |
Output is correct |
14 |
Correct |
3 ms |
376 KB |
Output is correct |
15 |
Correct |
3 ms |
396 KB |
Output is correct |
16 |
Correct |
25 ms |
1400 KB |
Output is correct |
17 |
Correct |
46 ms |
3952 KB |
Output is correct |
18 |
Correct |
87 ms |
3824 KB |
Output is correct |
19 |
Correct |
413 ms |
3948 KB |
Output is correct |
20 |
Correct |
459 ms |
3824 KB |
Output is correct |
21 |
Correct |
45 ms |
3824 KB |
Output is correct |
22 |
Correct |
4 ms |
376 KB |
Output is correct |
23 |
Correct |
66 ms |
2292 KB |
Output is correct |
24 |
Correct |
81 ms |
3824 KB |
Output is correct |
25 |
Correct |
15 ms |
888 KB |
Output is correct |
26 |
Correct |
49 ms |
2324 KB |
Output is correct |
27 |
Correct |
82 ms |
3696 KB |
Output is correct |
28 |
Correct |
84 ms |
3796 KB |
Output is correct |
29 |
Correct |
20 ms |
2036 KB |
Output is correct |
30 |
Correct |
5 ms |
504 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
48 ms |
3436 KB |
Output is correct |
2 |
Correct |
13 ms |
1400 KB |
Output is correct |
3 |
Correct |
30 ms |
2672 KB |
Output is correct |
4 |
Correct |
29 ms |
2292 KB |
Output is correct |
5 |
Correct |
40 ms |
3052 KB |
Output is correct |
6 |
Correct |
27 ms |
2292 KB |
Output is correct |
7 |
Correct |
8 ms |
888 KB |
Output is correct |
8 |
Correct |
28 ms |
2472 KB |
Output is correct |
9 |
Correct |
61 ms |
4208 KB |
Output is correct |
10 |
Correct |
35 ms |
2796 KB |
Output is correct |
11 |
Correct |
2 ms |
376 KB |
Output is correct |
12 |
Correct |
2 ms |
376 KB |
Output is correct |
13 |
Correct |
3 ms |
376 KB |
Output is correct |
14 |
Correct |
4 ms |
376 KB |
Output is correct |
15 |
Correct |
3 ms |
376 KB |
Output is correct |
16 |
Correct |
2 ms |
376 KB |
Output is correct |
17 |
Correct |
3 ms |
376 KB |
Output is correct |
18 |
Correct |
3 ms |
376 KB |
Output is correct |
19 |
Correct |
3 ms |
376 KB |
Output is correct |
20 |
Correct |
2 ms |
376 KB |
Output is correct |
21 |
Correct |
2 ms |
376 KB |
Output is correct |
22 |
Correct |
2 ms |
380 KB |
Output is correct |
23 |
Correct |
3 ms |
432 KB |
Output is correct |
24 |
Correct |
3 ms |
376 KB |
Output is correct |
25 |
Correct |
3 ms |
396 KB |
Output is correct |
26 |
Correct |
25 ms |
1400 KB |
Output is correct |
27 |
Correct |
46 ms |
3952 KB |
Output is correct |
28 |
Correct |
87 ms |
3824 KB |
Output is correct |
29 |
Correct |
413 ms |
3948 KB |
Output is correct |
30 |
Correct |
459 ms |
3824 KB |
Output is correct |
31 |
Correct |
45 ms |
3824 KB |
Output is correct |
32 |
Correct |
4 ms |
376 KB |
Output is correct |
33 |
Correct |
66 ms |
2292 KB |
Output is correct |
34 |
Correct |
81 ms |
3824 KB |
Output is correct |
35 |
Correct |
15 ms |
888 KB |
Output is correct |
36 |
Correct |
49 ms |
2324 KB |
Output is correct |
37 |
Correct |
82 ms |
3696 KB |
Output is correct |
38 |
Correct |
84 ms |
3796 KB |
Output is correct |
39 |
Correct |
20 ms |
2036 KB |
Output is correct |
40 |
Correct |
5 ms |
504 KB |
Output is correct |
41 |
Correct |
410 ms |
4712 KB |
Output is correct |
42 |
Correct |
98 ms |
4972 KB |
Output is correct |
43 |
Correct |
218 ms |
4604 KB |
Output is correct |
44 |
Correct |
96 ms |
4840 KB |
Output is correct |
45 |
Correct |
68 ms |
5220 KB |
Output is correct |
46 |
Correct |
464 ms |
4968 KB |
Output is correct |
47 |
Correct |
54 ms |
4716 KB |
Output is correct |
48 |
Correct |
161 ms |
4852 KB |
Output is correct |
49 |
Correct |
96 ms |
4712 KB |
Output is correct |
50 |
Execution timed out |
2058 ms |
4788 KB |
Time limit exceeded |
51 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
376 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
376 KB |
Output is correct |
4 |
Correct |
2 ms |
376 KB |
Output is correct |
5 |
Correct |
2 ms |
376 KB |
Output is correct |
6 |
Correct |
2 ms |
380 KB |
Output is correct |
7 |
Correct |
2 ms |
376 KB |
Output is correct |
8 |
Correct |
2 ms |
376 KB |
Output is correct |
9 |
Correct |
48 ms |
3436 KB |
Output is correct |
10 |
Correct |
13 ms |
1400 KB |
Output is correct |
11 |
Correct |
30 ms |
2672 KB |
Output is correct |
12 |
Correct |
29 ms |
2292 KB |
Output is correct |
13 |
Correct |
40 ms |
3052 KB |
Output is correct |
14 |
Correct |
27 ms |
2292 KB |
Output is correct |
15 |
Correct |
8 ms |
888 KB |
Output is correct |
16 |
Correct |
28 ms |
2472 KB |
Output is correct |
17 |
Correct |
61 ms |
4208 KB |
Output is correct |
18 |
Correct |
35 ms |
2796 KB |
Output is correct |
19 |
Correct |
2 ms |
376 KB |
Output is correct |
20 |
Correct |
2 ms |
376 KB |
Output is correct |
21 |
Correct |
3 ms |
376 KB |
Output is correct |
22 |
Correct |
4 ms |
376 KB |
Output is correct |
23 |
Correct |
3 ms |
376 KB |
Output is correct |
24 |
Correct |
2 ms |
376 KB |
Output is correct |
25 |
Correct |
3 ms |
376 KB |
Output is correct |
26 |
Correct |
3 ms |
376 KB |
Output is correct |
27 |
Correct |
3 ms |
376 KB |
Output is correct |
28 |
Correct |
2 ms |
376 KB |
Output is correct |
29 |
Correct |
2 ms |
376 KB |
Output is correct |
30 |
Correct |
2 ms |
380 KB |
Output is correct |
31 |
Correct |
3 ms |
432 KB |
Output is correct |
32 |
Correct |
3 ms |
376 KB |
Output is correct |
33 |
Correct |
3 ms |
396 KB |
Output is correct |
34 |
Correct |
25 ms |
1400 KB |
Output is correct |
35 |
Correct |
46 ms |
3952 KB |
Output is correct |
36 |
Correct |
87 ms |
3824 KB |
Output is correct |
37 |
Correct |
413 ms |
3948 KB |
Output is correct |
38 |
Correct |
459 ms |
3824 KB |
Output is correct |
39 |
Correct |
45 ms |
3824 KB |
Output is correct |
40 |
Correct |
4 ms |
376 KB |
Output is correct |
41 |
Correct |
66 ms |
2292 KB |
Output is correct |
42 |
Correct |
81 ms |
3824 KB |
Output is correct |
43 |
Correct |
15 ms |
888 KB |
Output is correct |
44 |
Correct |
49 ms |
2324 KB |
Output is correct |
45 |
Correct |
82 ms |
3696 KB |
Output is correct |
46 |
Correct |
84 ms |
3796 KB |
Output is correct |
47 |
Correct |
20 ms |
2036 KB |
Output is correct |
48 |
Correct |
5 ms |
504 KB |
Output is correct |
49 |
Correct |
410 ms |
4712 KB |
Output is correct |
50 |
Correct |
98 ms |
4972 KB |
Output is correct |
51 |
Correct |
218 ms |
4604 KB |
Output is correct |
52 |
Correct |
96 ms |
4840 KB |
Output is correct |
53 |
Correct |
68 ms |
5220 KB |
Output is correct |
54 |
Correct |
464 ms |
4968 KB |
Output is correct |
55 |
Correct |
54 ms |
4716 KB |
Output is correct |
56 |
Correct |
161 ms |
4852 KB |
Output is correct |
57 |
Correct |
96 ms |
4712 KB |
Output is correct |
58 |
Execution timed out |
2058 ms |
4788 KB |
Time limit exceeded |
59 |
Halted |
0 ms |
0 KB |
- |