#include <bits/stdc++.h>
using ll = long long;
using std::vector;
using std::array;
using std::pair;
using std::tuple;
int main() {
std::ios_base::sync_with_stdio(false);
std::cin.tie(nullptr);
int N, Q;
std::cin >> N >> Q;
vector<int> A(Q), B(Q), C(Q), D(Q);
for (int i = 0; i < Q; ++i) {
std::cin >> A[i] >> B[i] >> C[i] >> D[i];
A[i] -= 1;
B[i] -= 1;
}
const auto calc = [&](const int x, const int d) {
const int q = x / d;
const int r = x % d;
if (q % 2 == 0) {
return r;
} else {
return d - r;
}
};
ll ans = (ll)N * N;
for (int d = 1; d < N; ++d) {
if (N % d != 0) {
continue;
}
ll sum = 0;
for (int i = 0; i < Q; ++i) {
sum += (ll)(calc(C[i], d) - calc(A[i], d)) * (calc(D[i], d) - calc(B[i], d));
}
const ll dif = (ll)calc(N, d) * calc(N, d) - 2 * sum;
ans = std::min(ans, ((ll)N * N - std::abs(dif)) / 2);
}
std::cout << ans << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
320 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
20 ms |
2712 KB |
Output is correct |
2 |
Correct |
6 ms |
852 KB |
Output is correct |
3 |
Correct |
12 ms |
1876 KB |
Output is correct |
4 |
Correct |
13 ms |
1804 KB |
Output is correct |
5 |
Correct |
18 ms |
2460 KB |
Output is correct |
6 |
Correct |
12 ms |
1632 KB |
Output is correct |
7 |
Correct |
3 ms |
596 KB |
Output is correct |
8 |
Correct |
11 ms |
1664 KB |
Output is correct |
9 |
Correct |
31 ms |
3784 KB |
Output is correct |
10 |
Correct |
18 ms |
2288 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
260 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
324 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
328 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
260 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
324 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
0 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
328 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
8 ms |
1108 KB |
Output is correct |
17 |
Correct |
24 ms |
2900 KB |
Output is correct |
18 |
Correct |
29 ms |
3412 KB |
Output is correct |
19 |
Correct |
72 ms |
3120 KB |
Output is correct |
20 |
Correct |
77 ms |
3472 KB |
Output is correct |
21 |
Correct |
21 ms |
2876 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
17 ms |
1628 KB |
Output is correct |
24 |
Correct |
27 ms |
3152 KB |
Output is correct |
25 |
Correct |
4 ms |
584 KB |
Output is correct |
26 |
Correct |
18 ms |
2132 KB |
Output is correct |
27 |
Correct |
24 ms |
2412 KB |
Output is correct |
28 |
Correct |
28 ms |
3368 KB |
Output is correct |
29 |
Correct |
9 ms |
1360 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
20 ms |
2712 KB |
Output is correct |
2 |
Correct |
6 ms |
852 KB |
Output is correct |
3 |
Correct |
12 ms |
1876 KB |
Output is correct |
4 |
Correct |
13 ms |
1804 KB |
Output is correct |
5 |
Correct |
18 ms |
2460 KB |
Output is correct |
6 |
Correct |
12 ms |
1632 KB |
Output is correct |
7 |
Correct |
3 ms |
596 KB |
Output is correct |
8 |
Correct |
11 ms |
1664 KB |
Output is correct |
9 |
Correct |
31 ms |
3784 KB |
Output is correct |
10 |
Correct |
18 ms |
2288 KB |
Output is correct |
11 |
Correct |
1 ms |
260 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
340 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
324 KB |
Output is correct |
19 |
Correct |
0 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
0 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
328 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
8 ms |
1108 KB |
Output is correct |
27 |
Correct |
24 ms |
2900 KB |
Output is correct |
28 |
Correct |
29 ms |
3412 KB |
Output is correct |
29 |
Correct |
72 ms |
3120 KB |
Output is correct |
30 |
Correct |
77 ms |
3472 KB |
Output is correct |
31 |
Correct |
21 ms |
2876 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
17 ms |
1628 KB |
Output is correct |
34 |
Correct |
27 ms |
3152 KB |
Output is correct |
35 |
Correct |
4 ms |
584 KB |
Output is correct |
36 |
Correct |
18 ms |
2132 KB |
Output is correct |
37 |
Correct |
24 ms |
2412 KB |
Output is correct |
38 |
Correct |
28 ms |
3368 KB |
Output is correct |
39 |
Correct |
9 ms |
1360 KB |
Output is correct |
40 |
Correct |
1 ms |
340 KB |
Output is correct |
41 |
Correct |
67 ms |
3532 KB |
Output is correct |
42 |
Correct |
33 ms |
3960 KB |
Output is correct |
43 |
Correct |
45 ms |
3624 KB |
Output is correct |
44 |
Correct |
33 ms |
3924 KB |
Output is correct |
45 |
Correct |
32 ms |
4148 KB |
Output is correct |
46 |
Correct |
75 ms |
4000 KB |
Output is correct |
47 |
Correct |
28 ms |
3704 KB |
Output is correct |
48 |
Correct |
42 ms |
3724 KB |
Output is correct |
49 |
Correct |
30 ms |
3552 KB |
Output is correct |
50 |
Correct |
281 ms |
4032 KB |
Output is correct |
51 |
Correct |
301 ms |
4152 KB |
Output is correct |
52 |
Correct |
279 ms |
3884 KB |
Output is correct |
53 |
Correct |
299 ms |
4084 KB |
Output is correct |
54 |
Correct |
278 ms |
3844 KB |
Output is correct |
55 |
Correct |
314 ms |
4172 KB |
Output is correct |
56 |
Correct |
267 ms |
3728 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
320 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
20 ms |
2712 KB |
Output is correct |
10 |
Correct |
6 ms |
852 KB |
Output is correct |
11 |
Correct |
12 ms |
1876 KB |
Output is correct |
12 |
Correct |
13 ms |
1804 KB |
Output is correct |
13 |
Correct |
18 ms |
2460 KB |
Output is correct |
14 |
Correct |
12 ms |
1632 KB |
Output is correct |
15 |
Correct |
3 ms |
596 KB |
Output is correct |
16 |
Correct |
11 ms |
1664 KB |
Output is correct |
17 |
Correct |
31 ms |
3784 KB |
Output is correct |
18 |
Correct |
18 ms |
2288 KB |
Output is correct |
19 |
Correct |
1 ms |
260 KB |
Output is correct |
20 |
Correct |
0 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
1 ms |
340 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
324 KB |
Output is correct |
27 |
Correct |
0 ms |
212 KB |
Output is correct |
28 |
Correct |
1 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
0 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
328 KB |
Output is correct |
32 |
Correct |
1 ms |
340 KB |
Output is correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Correct |
8 ms |
1108 KB |
Output is correct |
35 |
Correct |
24 ms |
2900 KB |
Output is correct |
36 |
Correct |
29 ms |
3412 KB |
Output is correct |
37 |
Correct |
72 ms |
3120 KB |
Output is correct |
38 |
Correct |
77 ms |
3472 KB |
Output is correct |
39 |
Correct |
21 ms |
2876 KB |
Output is correct |
40 |
Correct |
1 ms |
340 KB |
Output is correct |
41 |
Correct |
17 ms |
1628 KB |
Output is correct |
42 |
Correct |
27 ms |
3152 KB |
Output is correct |
43 |
Correct |
4 ms |
584 KB |
Output is correct |
44 |
Correct |
18 ms |
2132 KB |
Output is correct |
45 |
Correct |
24 ms |
2412 KB |
Output is correct |
46 |
Correct |
28 ms |
3368 KB |
Output is correct |
47 |
Correct |
9 ms |
1360 KB |
Output is correct |
48 |
Correct |
1 ms |
340 KB |
Output is correct |
49 |
Correct |
67 ms |
3532 KB |
Output is correct |
50 |
Correct |
33 ms |
3960 KB |
Output is correct |
51 |
Correct |
45 ms |
3624 KB |
Output is correct |
52 |
Correct |
33 ms |
3924 KB |
Output is correct |
53 |
Correct |
32 ms |
4148 KB |
Output is correct |
54 |
Correct |
75 ms |
4000 KB |
Output is correct |
55 |
Correct |
28 ms |
3704 KB |
Output is correct |
56 |
Correct |
42 ms |
3724 KB |
Output is correct |
57 |
Correct |
30 ms |
3552 KB |
Output is correct |
58 |
Correct |
281 ms |
4032 KB |
Output is correct |
59 |
Correct |
301 ms |
4152 KB |
Output is correct |
60 |
Correct |
279 ms |
3884 KB |
Output is correct |
61 |
Correct |
299 ms |
4084 KB |
Output is correct |
62 |
Correct |
278 ms |
3844 KB |
Output is correct |
63 |
Correct |
314 ms |
4172 KB |
Output is correct |
64 |
Correct |
267 ms |
3728 KB |
Output is correct |
65 |
Correct |
0 ms |
320 KB |
Output is correct |
66 |
Correct |
0 ms |
212 KB |
Output is correct |
67 |
Correct |
301 ms |
4032 KB |
Output is correct |
68 |
Correct |
289 ms |
4000 KB |
Output is correct |
69 |
Correct |
252 ms |
3520 KB |
Output is correct |
70 |
Correct |
287 ms |
3936 KB |
Output is correct |
71 |
Correct |
284 ms |
3844 KB |
Output is correct |
72 |
Correct |
274 ms |
3720 KB |
Output is correct |
73 |
Correct |
268 ms |
3688 KB |
Output is correct |
74 |
Correct |
283 ms |
3948 KB |
Output is correct |
75 |
Correct |
279 ms |
3824 KB |
Output is correct |
76 |
Correct |
295 ms |
3960 KB |
Output is correct |
77 |
Correct |
62 ms |
4176 KB |
Output is correct |
78 |
Correct |
35 ms |
3788 KB |
Output is correct |
79 |
Correct |
48 ms |
3668 KB |
Output is correct |
80 |
Correct |
48 ms |
3764 KB |
Output is correct |
81 |
Correct |
44 ms |
3572 KB |
Output is correct |
82 |
Correct |
44 ms |
4108 KB |
Output is correct |
83 |
Correct |
35 ms |
3704 KB |
Output is correct |
84 |
Correct |
184 ms |
4140 KB |
Output is correct |
85 |
Correct |
303 ms |
4184 KB |
Output is correct |
86 |
Correct |
1 ms |
324 KB |
Output is correct |
87 |
Correct |
1 ms |
320 KB |
Output is correct |
88 |
Correct |
313 ms |
4288 KB |
Output is correct |
89 |
Correct |
60 ms |
1044 KB |
Output is correct |
90 |
Correct |
1 ms |
212 KB |
Output is correct |