#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define ff first
#define ss second
#define pii pair<int, int>
int main() {
ios::sync_with_stdio(false); cin.tie(nullptr);
int n, k;
cin >> n >> k;
pii p1[k], p2[k];
for (int i = 0; i < k; i++) {
cin >> p1[i].ff >> p1[i].ss >> p2[i].ff >> p2[i].ss;
p1[i].ff--; p1[i].ss--; p2[i].ff--; p2[i].ss--;
}
ll ans = LLONG_MAX;
for (int ii = 1; ii * ii <= n; ii++) {
if (n % ii) continue;
for (auto i : {ii, n / ii}) {
if (i == n) continue;
int x = n / i;
ll cnt1 = ((ll)((x + 1) >> 1) * ((x + 1) >> 1) + (ll)(x >> 1) * (x >> 1)) * i * i;
for (int j = 0; j < k; j++) {
pii x = p1[j], y = p2[j];
vector<pair<pii, pii>> v;
if (x.ss / i != y.ss / i) {
if (x.ss % i) {
v.push_back({x, {y.ff, x.ss + i - x.ss % i - 1}}); x.ss += i - x.ss % i;
}
if ((y.ss + 1) % i) {
v.push_back({{x.ff, y.ss - y.ss % i}, y}); y.ss -= y.ss % i + 1;
}
}
if (x.ss <= y.ss) v.push_back({x, y});
vector<pair<pii, pii>> u;
for (auto [x, y] : v) {
if (x.ff / i != y.ff / i) {
if (x.ff % i) {
u.push_back({x, {x.ff + i - x.ff % i - 1, y.ss}}); x.ff += i - x.ff % i;
}
if ((y.ff + 1) % i) {
u.push_back({{y.ff - y.ff % i, x.ss}, y}); y.ff -= y.ff % i + 1;
}
}
if (x.ff <= y.ff) u.push_back({x, y});
}
for (auto [x, y] : u)
if ((max(1, (y.ff - x.ff + 1) / i) & 1) && (max(1, (y.ss - x.ss + 1) / i) & 1)) cnt1 -= (ll)(((x.ff / i) & 1) == ((x.ss / i) & 1) ? 1 : -1) * min(i, y.ff - x.ff + 1) * min(i, y.ss - x.ss + 1);
}
ans = min({ans, cnt1, (ll)n * n - cnt1});
}
}
cout << ans;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
336 KB |
Output is correct |
2 |
Correct |
1 ms |
336 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
336 KB |
Output is correct |
6 |
Correct |
1 ms |
336 KB |
Output is correct |
7 |
Correct |
1 ms |
508 KB |
Output is correct |
8 |
Correct |
1 ms |
336 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
16 ms |
1360 KB |
Output is correct |
2 |
Correct |
4 ms |
592 KB |
Output is correct |
3 |
Correct |
10 ms |
848 KB |
Output is correct |
4 |
Correct |
11 ms |
1104 KB |
Output is correct |
5 |
Correct |
14 ms |
1104 KB |
Output is correct |
6 |
Correct |
9 ms |
848 KB |
Output is correct |
7 |
Correct |
2 ms |
336 KB |
Output is correct |
8 |
Correct |
9 ms |
848 KB |
Output is correct |
9 |
Correct |
22 ms |
1868 KB |
Output is correct |
10 |
Correct |
13 ms |
1104 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
336 KB |
Output is correct |
2 |
Correct |
1 ms |
504 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
504 KB |
Output is correct |
6 |
Correct |
1 ms |
504 KB |
Output is correct |
7 |
Correct |
1 ms |
336 KB |
Output is correct |
8 |
Correct |
1 ms |
336 KB |
Output is correct |
9 |
Correct |
1 ms |
336 KB |
Output is correct |
10 |
Correct |
1 ms |
336 KB |
Output is correct |
11 |
Correct |
1 ms |
336 KB |
Output is correct |
12 |
Correct |
1 ms |
336 KB |
Output is correct |
13 |
Correct |
1 ms |
504 KB |
Output is correct |
14 |
Correct |
1 ms |
336 KB |
Output is correct |
15 |
Correct |
1 ms |
336 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
336 KB |
Output is correct |
2 |
Correct |
1 ms |
504 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
504 KB |
Output is correct |
6 |
Correct |
1 ms |
504 KB |
Output is correct |
7 |
Correct |
1 ms |
336 KB |
Output is correct |
8 |
Correct |
1 ms |
336 KB |
Output is correct |
9 |
Correct |
1 ms |
336 KB |
Output is correct |
10 |
Correct |
1 ms |
336 KB |
Output is correct |
11 |
Correct |
1 ms |
336 KB |
Output is correct |
12 |
Correct |
1 ms |
336 KB |
Output is correct |
13 |
Correct |
1 ms |
504 KB |
Output is correct |
14 |
Correct |
1 ms |
336 KB |
Output is correct |
15 |
Correct |
1 ms |
336 KB |
Output is correct |
16 |
Correct |
10 ms |
848 KB |
Output is correct |
17 |
Correct |
20 ms |
1616 KB |
Output is correct |
18 |
Correct |
32 ms |
2040 KB |
Output is correct |
19 |
Correct |
129 ms |
1616 KB |
Output is correct |
20 |
Correct |
147 ms |
1872 KB |
Output is correct |
21 |
Correct |
18 ms |
1616 KB |
Output is correct |
22 |
Correct |
1 ms |
336 KB |
Output is correct |
23 |
Correct |
22 ms |
1120 KB |
Output is correct |
24 |
Correct |
33 ms |
1616 KB |
Output is correct |
25 |
Correct |
5 ms |
336 KB |
Output is correct |
26 |
Correct |
19 ms |
1280 KB |
Output is correct |
27 |
Correct |
29 ms |
1360 KB |
Output is correct |
28 |
Correct |
31 ms |
1872 KB |
Output is correct |
29 |
Correct |
13 ms |
848 KB |
Output is correct |
30 |
Correct |
1 ms |
508 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
16 ms |
1360 KB |
Output is correct |
2 |
Correct |
4 ms |
592 KB |
Output is correct |
3 |
Correct |
10 ms |
848 KB |
Output is correct |
4 |
Correct |
11 ms |
1104 KB |
Output is correct |
5 |
Correct |
14 ms |
1104 KB |
Output is correct |
6 |
Correct |
9 ms |
848 KB |
Output is correct |
7 |
Correct |
2 ms |
336 KB |
Output is correct |
8 |
Correct |
9 ms |
848 KB |
Output is correct |
9 |
Correct |
22 ms |
1868 KB |
Output is correct |
10 |
Correct |
13 ms |
1104 KB |
Output is correct |
11 |
Correct |
1 ms |
336 KB |
Output is correct |
12 |
Correct |
1 ms |
504 KB |
Output is correct |
13 |
Correct |
1 ms |
336 KB |
Output is correct |
14 |
Correct |
1 ms |
336 KB |
Output is correct |
15 |
Correct |
1 ms |
504 KB |
Output is correct |
16 |
Correct |
1 ms |
504 KB |
Output is correct |
17 |
Correct |
1 ms |
336 KB |
Output is correct |
18 |
Correct |
1 ms |
336 KB |
Output is correct |
19 |
Correct |
1 ms |
336 KB |
Output is correct |
20 |
Correct |
1 ms |
336 KB |
Output is correct |
21 |
Correct |
1 ms |
336 KB |
Output is correct |
22 |
Correct |
1 ms |
336 KB |
Output is correct |
23 |
Correct |
1 ms |
504 KB |
Output is correct |
24 |
Correct |
1 ms |
336 KB |
Output is correct |
25 |
Correct |
1 ms |
336 KB |
Output is correct |
26 |
Correct |
10 ms |
848 KB |
Output is correct |
27 |
Correct |
20 ms |
1616 KB |
Output is correct |
28 |
Correct |
32 ms |
2040 KB |
Output is correct |
29 |
Correct |
129 ms |
1616 KB |
Output is correct |
30 |
Correct |
147 ms |
1872 KB |
Output is correct |
31 |
Correct |
18 ms |
1616 KB |
Output is correct |
32 |
Correct |
1 ms |
336 KB |
Output is correct |
33 |
Correct |
22 ms |
1120 KB |
Output is correct |
34 |
Correct |
33 ms |
1616 KB |
Output is correct |
35 |
Correct |
5 ms |
336 KB |
Output is correct |
36 |
Correct |
19 ms |
1280 KB |
Output is correct |
37 |
Correct |
29 ms |
1360 KB |
Output is correct |
38 |
Correct |
31 ms |
1872 KB |
Output is correct |
39 |
Correct |
13 ms |
848 KB |
Output is correct |
40 |
Correct |
1 ms |
508 KB |
Output is correct |
41 |
Correct |
117 ms |
1616 KB |
Output is correct |
42 |
Correct |
34 ms |
1872 KB |
Output is correct |
43 |
Correct |
64 ms |
1616 KB |
Output is correct |
44 |
Correct |
34 ms |
1872 KB |
Output is correct |
45 |
Correct |
24 ms |
1872 KB |
Output is correct |
46 |
Correct |
123 ms |
1872 KB |
Output is correct |
47 |
Correct |
24 ms |
1616 KB |
Output is correct |
48 |
Correct |
46 ms |
1616 KB |
Output is correct |
49 |
Correct |
29 ms |
1764 KB |
Output is correct |
50 |
Correct |
607 ms |
1872 KB |
Output is correct |
51 |
Correct |
629 ms |
1952 KB |
Output is correct |
52 |
Correct |
577 ms |
1848 KB |
Output is correct |
53 |
Correct |
607 ms |
1872 KB |
Output is correct |
54 |
Correct |
578 ms |
1864 KB |
Output is correct |
55 |
Correct |
634 ms |
1996 KB |
Output is correct |
56 |
Correct |
533 ms |
1616 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
336 KB |
Output is correct |
2 |
Correct |
1 ms |
336 KB |
Output is correct |
3 |
Correct |
1 ms |
336 KB |
Output is correct |
4 |
Correct |
1 ms |
336 KB |
Output is correct |
5 |
Correct |
1 ms |
336 KB |
Output is correct |
6 |
Correct |
1 ms |
336 KB |
Output is correct |
7 |
Correct |
1 ms |
508 KB |
Output is correct |
8 |
Correct |
1 ms |
336 KB |
Output is correct |
9 |
Correct |
16 ms |
1360 KB |
Output is correct |
10 |
Correct |
4 ms |
592 KB |
Output is correct |
11 |
Correct |
10 ms |
848 KB |
Output is correct |
12 |
Correct |
11 ms |
1104 KB |
Output is correct |
13 |
Correct |
14 ms |
1104 KB |
Output is correct |
14 |
Correct |
9 ms |
848 KB |
Output is correct |
15 |
Correct |
2 ms |
336 KB |
Output is correct |
16 |
Correct |
9 ms |
848 KB |
Output is correct |
17 |
Correct |
22 ms |
1868 KB |
Output is correct |
18 |
Correct |
13 ms |
1104 KB |
Output is correct |
19 |
Correct |
1 ms |
336 KB |
Output is correct |
20 |
Correct |
1 ms |
504 KB |
Output is correct |
21 |
Correct |
1 ms |
336 KB |
Output is correct |
22 |
Correct |
1 ms |
336 KB |
Output is correct |
23 |
Correct |
1 ms |
504 KB |
Output is correct |
24 |
Correct |
1 ms |
504 KB |
Output is correct |
25 |
Correct |
1 ms |
336 KB |
Output is correct |
26 |
Correct |
1 ms |
336 KB |
Output is correct |
27 |
Correct |
1 ms |
336 KB |
Output is correct |
28 |
Correct |
1 ms |
336 KB |
Output is correct |
29 |
Correct |
1 ms |
336 KB |
Output is correct |
30 |
Correct |
1 ms |
336 KB |
Output is correct |
31 |
Correct |
1 ms |
504 KB |
Output is correct |
32 |
Correct |
1 ms |
336 KB |
Output is correct |
33 |
Correct |
1 ms |
336 KB |
Output is correct |
34 |
Correct |
10 ms |
848 KB |
Output is correct |
35 |
Correct |
20 ms |
1616 KB |
Output is correct |
36 |
Correct |
32 ms |
2040 KB |
Output is correct |
37 |
Correct |
129 ms |
1616 KB |
Output is correct |
38 |
Correct |
147 ms |
1872 KB |
Output is correct |
39 |
Correct |
18 ms |
1616 KB |
Output is correct |
40 |
Correct |
1 ms |
336 KB |
Output is correct |
41 |
Correct |
22 ms |
1120 KB |
Output is correct |
42 |
Correct |
33 ms |
1616 KB |
Output is correct |
43 |
Correct |
5 ms |
336 KB |
Output is correct |
44 |
Correct |
19 ms |
1280 KB |
Output is correct |
45 |
Correct |
29 ms |
1360 KB |
Output is correct |
46 |
Correct |
31 ms |
1872 KB |
Output is correct |
47 |
Correct |
13 ms |
848 KB |
Output is correct |
48 |
Correct |
1 ms |
508 KB |
Output is correct |
49 |
Correct |
117 ms |
1616 KB |
Output is correct |
50 |
Correct |
34 ms |
1872 KB |
Output is correct |
51 |
Correct |
64 ms |
1616 KB |
Output is correct |
52 |
Correct |
34 ms |
1872 KB |
Output is correct |
53 |
Correct |
24 ms |
1872 KB |
Output is correct |
54 |
Correct |
123 ms |
1872 KB |
Output is correct |
55 |
Correct |
24 ms |
1616 KB |
Output is correct |
56 |
Correct |
46 ms |
1616 KB |
Output is correct |
57 |
Correct |
29 ms |
1764 KB |
Output is correct |
58 |
Correct |
607 ms |
1872 KB |
Output is correct |
59 |
Correct |
629 ms |
1952 KB |
Output is correct |
60 |
Correct |
577 ms |
1848 KB |
Output is correct |
61 |
Correct |
607 ms |
1872 KB |
Output is correct |
62 |
Correct |
578 ms |
1864 KB |
Output is correct |
63 |
Correct |
634 ms |
1996 KB |
Output is correct |
64 |
Correct |
533 ms |
1616 KB |
Output is correct |
65 |
Correct |
1 ms |
336 KB |
Output is correct |
66 |
Correct |
1 ms |
336 KB |
Output is correct |
67 |
Correct |
796 ms |
1872 KB |
Output is correct |
68 |
Correct |
747 ms |
1900 KB |
Output is correct |
69 |
Correct |
652 ms |
1616 KB |
Output is correct |
70 |
Correct |
717 ms |
1616 KB |
Output is correct |
71 |
Correct |
735 ms |
1824 KB |
Output is correct |
72 |
Correct |
669 ms |
1800 KB |
Output is correct |
73 |
Correct |
700 ms |
1616 KB |
Output is correct |
74 |
Correct |
754 ms |
1872 KB |
Output is correct |
75 |
Correct |
781 ms |
1808 KB |
Output is correct |
76 |
Correct |
815 ms |
1912 KB |
Output is correct |
77 |
Correct |
119 ms |
1872 KB |
Output is correct |
78 |
Correct |
36 ms |
1872 KB |
Output is correct |
79 |
Correct |
80 ms |
1616 KB |
Output is correct |
80 |
Correct |
86 ms |
1616 KB |
Output is correct |
81 |
Correct |
94 ms |
1616 KB |
Output is correct |
82 |
Correct |
67 ms |
1872 KB |
Output is correct |
83 |
Correct |
55 ms |
1616 KB |
Output is correct |
84 |
Correct |
476 ms |
1948 KB |
Output is correct |
85 |
Correct |
845 ms |
1872 KB |
Output is correct |
86 |
Correct |
2 ms |
336 KB |
Output is correct |
87 |
Correct |
1 ms |
336 KB |
Output is correct |
88 |
Correct |
804 ms |
1872 KB |
Output is correct |
89 |
Correct |
170 ms |
592 KB |
Output is correct |
90 |
Correct |
1 ms |
336 KB |
Output is correct |