#include <bits/stdc++.h>
using namespace std;
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
int N, K;
cin >> N >> K;
vector<vector<array<int, 3>>> rect(N + 1);
for (int i = 0; i < K; i++) {
int x1, y1, x2, y2;
cin >> x1 >> y1 >> x2 >> y2;
x1--, y1--, y2--;
rect[x1].push_back({y1, y2, 1});
rect[x2].push_back({y1, y2, -1});
}
auto Even = [&](int L, int R, int d) {
int l = L % (2 * d) >= d ? L + d - L % d : L;
int r = R % (2 * d) >= d ? R - R % d - 1 : R;
return l > r ? pair {0, -1} : pair {l / (2 * d) * d + l % (2 * d), r / (2 * d) * d + r % (2 * d)};
};
auto Odd = [&](int L, int R, int d) {
int l = L % (2 * d) < d ? L + d - L % d : L;
int r = R % (2 * d) < d ? R - R % d - 1 : R;
return l > r ? pair {0, -1} : pair {l / (2 * d) * d + (l - d) % (2 * d), r / (2 * d) * d + (r - d) % (2 * d)};
};
long long answer = numeric_limits<long long>::max();
for (int d = 1; d < N; d++) {
if (N % d == 0) {
int N_even = N / (2 * d) * d + min(d, N % (2 * d)), N_odd = N / (2 * d) * d + max(0, N % (2 * d) - d);
int cnt_e = 0, cnt_o = 0;
long long answer_e = 0, answer_o = 0;
for (int i = 0; i < N; i++) {
for (auto [j1, j2, t] : rect[i]) {
auto [j1_e, j2_e] = Even(j1, j2, d);
auto [j1_o, j2_o] = Odd(j1, j2, d);
cnt_e += t * (j2_e - j1_e + 1);
cnt_o += t * (j2_o - j1_o + 1);
}
int r = (i / d) % 2;
answer_o += (r ? cnt_e : N_even - cnt_e) + (!r ? cnt_o : N_odd - cnt_o);
answer_e += (!r ? cnt_e : N_even - cnt_e) + (r ? cnt_o : N_odd - cnt_o);
}
answer = min({answer, answer_e, answer_o});
}
}
cout << answer << "\n";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 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 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
25 ms |
4444 KB |
Output is correct |
2 |
Correct |
6 ms |
1628 KB |
Output is correct |
3 |
Correct |
18 ms |
4968 KB |
Output is correct |
4 |
Correct |
16 ms |
3164 KB |
Output is correct |
5 |
Correct |
22 ms |
5200 KB |
Output is correct |
6 |
Correct |
13 ms |
3676 KB |
Output is correct |
7 |
Correct |
3 ms |
1372 KB |
Output is correct |
8 |
Correct |
13 ms |
3676 KB |
Output is correct |
9 |
Correct |
31 ms |
6668 KB |
Output is correct |
10 |
Correct |
17 ms |
4444 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
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 |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 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 |
0 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 |
348 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
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 |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 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 |
0 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 |
348 KB |
Output is correct |
16 |
Correct |
10 ms |
1880 KB |
Output is correct |
17 |
Correct |
25 ms |
5100 KB |
Output is correct |
18 |
Correct |
29 ms |
5212 KB |
Output is correct |
19 |
Correct |
100 ms |
4956 KB |
Output is correct |
20 |
Correct |
115 ms |
5240 KB |
Output is correct |
21 |
Correct |
20 ms |
4956 KB |
Output is correct |
22 |
Correct |
1 ms |
456 KB |
Output is correct |
23 |
Correct |
19 ms |
2652 KB |
Output is correct |
24 |
Correct |
28 ms |
5208 KB |
Output is correct |
25 |
Correct |
5 ms |
860 KB |
Output is correct |
26 |
Correct |
17 ms |
3336 KB |
Output is correct |
27 |
Correct |
26 ms |
4424 KB |
Output is correct |
28 |
Correct |
29 ms |
5212 KB |
Output is correct |
29 |
Correct |
8 ms |
2652 KB |
Output is correct |
30 |
Correct |
1 ms |
604 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
25 ms |
4444 KB |
Output is correct |
2 |
Correct |
6 ms |
1628 KB |
Output is correct |
3 |
Correct |
18 ms |
4968 KB |
Output is correct |
4 |
Correct |
16 ms |
3164 KB |
Output is correct |
5 |
Correct |
22 ms |
5200 KB |
Output is correct |
6 |
Correct |
13 ms |
3676 KB |
Output is correct |
7 |
Correct |
3 ms |
1372 KB |
Output is correct |
8 |
Correct |
13 ms |
3676 KB |
Output is correct |
9 |
Correct |
31 ms |
6668 KB |
Output is correct |
10 |
Correct |
17 ms |
4444 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 |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
348 KB |
Output is correct |
17 |
Correct |
1 ms |
348 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 |
0 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 |
348 KB |
Output is correct |
26 |
Correct |
10 ms |
1880 KB |
Output is correct |
27 |
Correct |
25 ms |
5100 KB |
Output is correct |
28 |
Correct |
29 ms |
5212 KB |
Output is correct |
29 |
Correct |
100 ms |
4956 KB |
Output is correct |
30 |
Correct |
115 ms |
5240 KB |
Output is correct |
31 |
Correct |
20 ms |
4956 KB |
Output is correct |
32 |
Correct |
1 ms |
456 KB |
Output is correct |
33 |
Correct |
19 ms |
2652 KB |
Output is correct |
34 |
Correct |
28 ms |
5208 KB |
Output is correct |
35 |
Correct |
5 ms |
860 KB |
Output is correct |
36 |
Correct |
17 ms |
3336 KB |
Output is correct |
37 |
Correct |
26 ms |
4424 KB |
Output is correct |
38 |
Correct |
29 ms |
5212 KB |
Output is correct |
39 |
Correct |
8 ms |
2652 KB |
Output is correct |
40 |
Correct |
1 ms |
604 KB |
Output is correct |
41 |
Correct |
108 ms |
7772 KB |
Output is correct |
42 |
Correct |
44 ms |
8540 KB |
Output is correct |
43 |
Correct |
64 ms |
8028 KB |
Output is correct |
44 |
Correct |
41 ms |
8524 KB |
Output is correct |
45 |
Correct |
36 ms |
9036 KB |
Output is correct |
46 |
Correct |
111 ms |
8528 KB |
Output is correct |
47 |
Correct |
31 ms |
8272 KB |
Output is correct |
48 |
Correct |
53 ms |
8284 KB |
Output is correct |
49 |
Correct |
37 ms |
8020 KB |
Output is correct |
50 |
Correct |
467 ms |
8028 KB |
Output is correct |
51 |
Correct |
495 ms |
8432 KB |
Output is correct |
52 |
Correct |
458 ms |
8004 KB |
Output is correct |
53 |
Correct |
499 ms |
8532 KB |
Output is correct |
54 |
Correct |
447 ms |
8028 KB |
Output is correct |
55 |
Correct |
503 ms |
8784 KB |
Output is correct |
56 |
Correct |
440 ms |
7760 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 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 |
25 ms |
4444 KB |
Output is correct |
10 |
Correct |
6 ms |
1628 KB |
Output is correct |
11 |
Correct |
18 ms |
4968 KB |
Output is correct |
12 |
Correct |
16 ms |
3164 KB |
Output is correct |
13 |
Correct |
22 ms |
5200 KB |
Output is correct |
14 |
Correct |
13 ms |
3676 KB |
Output is correct |
15 |
Correct |
3 ms |
1372 KB |
Output is correct |
16 |
Correct |
13 ms |
3676 KB |
Output is correct |
17 |
Correct |
31 ms |
6668 KB |
Output is correct |
18 |
Correct |
17 ms |
4444 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 |
0 ms |
348 KB |
Output is correct |
24 |
Correct |
1 ms |
348 KB |
Output is correct |
25 |
Correct |
1 ms |
348 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 |
0 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 |
348 KB |
Output is correct |
34 |
Correct |
10 ms |
1880 KB |
Output is correct |
35 |
Correct |
25 ms |
5100 KB |
Output is correct |
36 |
Correct |
29 ms |
5212 KB |
Output is correct |
37 |
Correct |
100 ms |
4956 KB |
Output is correct |
38 |
Correct |
115 ms |
5240 KB |
Output is correct |
39 |
Correct |
20 ms |
4956 KB |
Output is correct |
40 |
Correct |
1 ms |
456 KB |
Output is correct |
41 |
Correct |
19 ms |
2652 KB |
Output is correct |
42 |
Correct |
28 ms |
5208 KB |
Output is correct |
43 |
Correct |
5 ms |
860 KB |
Output is correct |
44 |
Correct |
17 ms |
3336 KB |
Output is correct |
45 |
Correct |
26 ms |
4424 KB |
Output is correct |
46 |
Correct |
29 ms |
5212 KB |
Output is correct |
47 |
Correct |
8 ms |
2652 KB |
Output is correct |
48 |
Correct |
1 ms |
604 KB |
Output is correct |
49 |
Correct |
108 ms |
7772 KB |
Output is correct |
50 |
Correct |
44 ms |
8540 KB |
Output is correct |
51 |
Correct |
64 ms |
8028 KB |
Output is correct |
52 |
Correct |
41 ms |
8524 KB |
Output is correct |
53 |
Correct |
36 ms |
9036 KB |
Output is correct |
54 |
Correct |
111 ms |
8528 KB |
Output is correct |
55 |
Correct |
31 ms |
8272 KB |
Output is correct |
56 |
Correct |
53 ms |
8284 KB |
Output is correct |
57 |
Correct |
37 ms |
8020 KB |
Output is correct |
58 |
Correct |
467 ms |
8028 KB |
Output is correct |
59 |
Correct |
495 ms |
8432 KB |
Output is correct |
60 |
Correct |
458 ms |
8004 KB |
Output is correct |
61 |
Correct |
499 ms |
8532 KB |
Output is correct |
62 |
Correct |
447 ms |
8028 KB |
Output is correct |
63 |
Correct |
503 ms |
8784 KB |
Output is correct |
64 |
Correct |
440 ms |
7760 KB |
Output is correct |
65 |
Correct |
0 ms |
344 KB |
Output is correct |
66 |
Correct |
0 ms |
344 KB |
Output is correct |
67 |
Correct |
528 ms |
8120 KB |
Output is correct |
68 |
Correct |
522 ms |
7936 KB |
Output is correct |
69 |
Correct |
450 ms |
7252 KB |
Output is correct |
70 |
Correct |
474 ms |
7764 KB |
Output is correct |
71 |
Correct |
487 ms |
7768 KB |
Output is correct |
72 |
Correct |
462 ms |
7504 KB |
Output is correct |
73 |
Correct |
479 ms |
7504 KB |
Output is correct |
74 |
Correct |
517 ms |
8024 KB |
Output is correct |
75 |
Correct |
480 ms |
7516 KB |
Output is correct |
76 |
Correct |
516 ms |
8016 KB |
Output is correct |
77 |
Correct |
98 ms |
8784 KB |
Output is correct |
78 |
Correct |
48 ms |
8280 KB |
Output is correct |
79 |
Correct |
72 ms |
8028 KB |
Output is correct |
80 |
Correct |
70 ms |
8272 KB |
Output is correct |
81 |
Correct |
71 ms |
7744 KB |
Output is correct |
82 |
Correct |
63 ms |
8536 KB |
Output is correct |
83 |
Correct |
48 ms |
8024 KB |
Output is correct |
84 |
Correct |
320 ms |
8540 KB |
Output is correct |
85 |
Correct |
548 ms |
8276 KB |
Output is correct |
86 |
Correct |
23 ms |
2396 KB |
Output is correct |
87 |
Correct |
23 ms |
2392 KB |
Output is correct |
88 |
Correct |
545 ms |
8264 KB |
Output is correct |
89 |
Correct |
133 ms |
3496 KB |
Output is correct |
90 |
Correct |
22 ms |
2396 KB |
Output is correct |