#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;
using ll = long long;
bool get_color(pair<ll, ll> p, ll d) {
return (p.first / d + p.second / d) & 1;
}
ll intersect(pair<pair<ll, ll>, pair<ll, ll>> r1, pair<pair<ll, ll>, pair<ll, ll>> r2) {
ll w = min(r1.second.first, r2.second.first) - max(r1.first.first, r2.first.first);
ll h = min(r1.second.second, r2.second.second) - max(r1.first.second, r2.first.second);
//cout << w << ' ' << h << endl;
if (w < 0 || h < 0)
return 0;
return w * h;
}
signed main() {
ll n, k;
cin >> n >> k;
vector<pair<pair<ll, ll>, pair<ll, ll>>> rect(k);
for (ll i = 0; i < k; ++i) {
cin >> rect[i].first.first >> rect[i].first.second >> rect[i].second.first >> rect[i].second.second;
--rect[i].first.first, --rect[i].first.second, --rect[i].second.first, --rect[i].second.second;
}
vector<ll> divs;
for (ll p = 1; p < n; ++p) {
if (n % p == 0)
divs.push_back(p);
}
ll szd = divs.size();
vector<ll> ans(szd);
for (ll di = 0; di < szd; ++di) {
ll d = divs[di];
if (n / d == 0)
ans[di] = n * n / 2;
else
ans[di] = d * d * ((n / d) * (n / d) / 2);
}
for (auto [ld, ru] : rect) {
for (ll di = 0; di < szd; ++di) {
ll d = divs[di];
ll r = ld.first + (ru.first - ld.first) % (2 * d);
ll u = ld.second + (ru.second - ld.second) % (2 * d);
pair<pair<ll, ll>, pair<ll, ll>> rct = {ld, {r + 1, u + 1}};
ll bi = ld.first / (2 * d) * (2 * d);
ll bj = ld.second / (2 * d) * (2 * d);
for (ll i = 0; i < 4; ++i) for (ll j = 0; j < 4; ++j) {
ll val = intersect(rct, {{bi + d * i, bj + d * j}, {bi + d * i + d, bj + d * j + d}});
if ((i + j) % 2)
ans[di] -= val;
else
ans[di] += val;
}
//ans[di] += intersect(rct, {{bi, bj}, {bi + d, bj + d}});
//ans[di] -= intersect(rct, {{bi + d, bj}, {bi + 2 * d, bj + d}});
//ans[di] -= intersect(rct, {{bi, bj + d}, {bi + d, bj + 2 * d}});
//ans[di] += intersect(rct, {{bi + d, bj + d}, {bi + 2 * d, bj + 2 * d}});
}
}
ll mnans = n * n;
for (auto x : ans) {
mnans = min({mnans, x, n * n - x});
}
cout << mnans << '\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 ms |
212 KB |
Output is correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
66 ms |
2264 KB |
Output is correct |
2 |
Correct |
21 ms |
724 KB |
Output is correct |
3 |
Correct |
46 ms |
1492 KB |
Output is correct |
4 |
Correct |
44 ms |
1720 KB |
Output is correct |
5 |
Correct |
59 ms |
2004 KB |
Output is correct |
6 |
Correct |
37 ms |
1364 KB |
Output is correct |
7 |
Correct |
8 ms |
536 KB |
Output is correct |
8 |
Correct |
39 ms |
1364 KB |
Output is correct |
9 |
Correct |
96 ms |
3176 KB |
Output is correct |
10 |
Correct |
52 ms |
1876 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
2 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
2 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
212 KB |
Output is correct |
8 |
Correct |
1 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
0 ms |
212 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
30 ms |
1168 KB |
Output is correct |
17 |
Correct |
70 ms |
2900 KB |
Output is correct |
18 |
Correct |
97 ms |
3396 KB |
Output is correct |
19 |
Correct |
219 ms |
3048 KB |
Output is correct |
20 |
Correct |
256 ms |
3388 KB |
Output is correct |
21 |
Correct |
68 ms |
2824 KB |
Output is correct |
22 |
Correct |
1 ms |
212 KB |
Output is correct |
23 |
Correct |
52 ms |
1620 KB |
Output is correct |
24 |
Correct |
86 ms |
3028 KB |
Output is correct |
25 |
Correct |
10 ms |
468 KB |
Output is correct |
26 |
Correct |
54 ms |
2004 KB |
Output is correct |
27 |
Correct |
75 ms |
2388 KB |
Output is correct |
28 |
Correct |
98 ms |
3284 KB |
Output is correct |
29 |
Correct |
29 ms |
1324 KB |
Output is correct |
30 |
Correct |
3 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
66 ms |
2264 KB |
Output is correct |
2 |
Correct |
21 ms |
724 KB |
Output is correct |
3 |
Correct |
46 ms |
1492 KB |
Output is correct |
4 |
Correct |
44 ms |
1720 KB |
Output is correct |
5 |
Correct |
59 ms |
2004 KB |
Output is correct |
6 |
Correct |
37 ms |
1364 KB |
Output is correct |
7 |
Correct |
8 ms |
536 KB |
Output is correct |
8 |
Correct |
39 ms |
1364 KB |
Output is correct |
9 |
Correct |
96 ms |
3176 KB |
Output is correct |
10 |
Correct |
52 ms |
1876 KB |
Output is correct |
11 |
Correct |
1 ms |
212 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
2 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
1 ms |
212 KB |
Output is correct |
18 |
Correct |
1 ms |
212 KB |
Output is correct |
19 |
Correct |
1 ms |
212 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 |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
30 ms |
1168 KB |
Output is correct |
27 |
Correct |
70 ms |
2900 KB |
Output is correct |
28 |
Correct |
97 ms |
3396 KB |
Output is correct |
29 |
Correct |
219 ms |
3048 KB |
Output is correct |
30 |
Correct |
256 ms |
3388 KB |
Output is correct |
31 |
Correct |
68 ms |
2824 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
52 ms |
1620 KB |
Output is correct |
34 |
Correct |
86 ms |
3028 KB |
Output is correct |
35 |
Correct |
10 ms |
468 KB |
Output is correct |
36 |
Correct |
54 ms |
2004 KB |
Output is correct |
37 |
Correct |
75 ms |
2388 KB |
Output is correct |
38 |
Correct |
98 ms |
3284 KB |
Output is correct |
39 |
Correct |
29 ms |
1324 KB |
Output is correct |
40 |
Correct |
3 ms |
340 KB |
Output is correct |
41 |
Correct |
212 ms |
2900 KB |
Output is correct |
42 |
Correct |
112 ms |
3240 KB |
Output is correct |
43 |
Correct |
150 ms |
2900 KB |
Output is correct |
44 |
Correct |
114 ms |
3156 KB |
Output is correct |
45 |
Correct |
104 ms |
3356 KB |
Output is correct |
46 |
Correct |
229 ms |
3156 KB |
Output is correct |
47 |
Correct |
90 ms |
2968 KB |
Output is correct |
48 |
Correct |
126 ms |
3008 KB |
Output is correct |
49 |
Correct |
103 ms |
2900 KB |
Output is correct |
50 |
Correct |
814 ms |
3132 KB |
Output is correct |
51 |
Correct |
879 ms |
3408 KB |
Output is correct |
52 |
Correct |
824 ms |
3236 KB |
Output is correct |
53 |
Correct |
865 ms |
3408 KB |
Output is correct |
54 |
Correct |
812 ms |
3200 KB |
Output is correct |
55 |
Correct |
896 ms |
3420 KB |
Output is correct |
56 |
Correct |
785 ms |
2992 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
0 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 |
66 ms |
2264 KB |
Output is correct |
10 |
Correct |
21 ms |
724 KB |
Output is correct |
11 |
Correct |
46 ms |
1492 KB |
Output is correct |
12 |
Correct |
44 ms |
1720 KB |
Output is correct |
13 |
Correct |
59 ms |
2004 KB |
Output is correct |
14 |
Correct |
37 ms |
1364 KB |
Output is correct |
15 |
Correct |
8 ms |
536 KB |
Output is correct |
16 |
Correct |
39 ms |
1364 KB |
Output is correct |
17 |
Correct |
96 ms |
3176 KB |
Output is correct |
18 |
Correct |
52 ms |
1876 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
212 KB |
Output is correct |
22 |
Correct |
2 ms |
212 KB |
Output is correct |
23 |
Correct |
1 ms |
212 KB |
Output is correct |
24 |
Correct |
1 ms |
212 KB |
Output is correct |
25 |
Correct |
1 ms |
212 KB |
Output is correct |
26 |
Correct |
1 ms |
212 KB |
Output is correct |
27 |
Correct |
1 ms |
212 KB |
Output is correct |
28 |
Correct |
0 ms |
212 KB |
Output is correct |
29 |
Correct |
1 ms |
212 KB |
Output is correct |
30 |
Correct |
1 ms |
212 KB |
Output is correct |
31 |
Correct |
1 ms |
212 KB |
Output is correct |
32 |
Correct |
1 ms |
212 KB |
Output is correct |
33 |
Correct |
1 ms |
212 KB |
Output is correct |
34 |
Correct |
30 ms |
1168 KB |
Output is correct |
35 |
Correct |
70 ms |
2900 KB |
Output is correct |
36 |
Correct |
97 ms |
3396 KB |
Output is correct |
37 |
Correct |
219 ms |
3048 KB |
Output is correct |
38 |
Correct |
256 ms |
3388 KB |
Output is correct |
39 |
Correct |
68 ms |
2824 KB |
Output is correct |
40 |
Correct |
1 ms |
212 KB |
Output is correct |
41 |
Correct |
52 ms |
1620 KB |
Output is correct |
42 |
Correct |
86 ms |
3028 KB |
Output is correct |
43 |
Correct |
10 ms |
468 KB |
Output is correct |
44 |
Correct |
54 ms |
2004 KB |
Output is correct |
45 |
Correct |
75 ms |
2388 KB |
Output is correct |
46 |
Correct |
98 ms |
3284 KB |
Output is correct |
47 |
Correct |
29 ms |
1324 KB |
Output is correct |
48 |
Correct |
3 ms |
340 KB |
Output is correct |
49 |
Correct |
212 ms |
2900 KB |
Output is correct |
50 |
Correct |
112 ms |
3240 KB |
Output is correct |
51 |
Correct |
150 ms |
2900 KB |
Output is correct |
52 |
Correct |
114 ms |
3156 KB |
Output is correct |
53 |
Correct |
104 ms |
3356 KB |
Output is correct |
54 |
Correct |
229 ms |
3156 KB |
Output is correct |
55 |
Correct |
90 ms |
2968 KB |
Output is correct |
56 |
Correct |
126 ms |
3008 KB |
Output is correct |
57 |
Correct |
103 ms |
2900 KB |
Output is correct |
58 |
Correct |
814 ms |
3132 KB |
Output is correct |
59 |
Correct |
879 ms |
3408 KB |
Output is correct |
60 |
Correct |
824 ms |
3236 KB |
Output is correct |
61 |
Correct |
865 ms |
3408 KB |
Output is correct |
62 |
Correct |
812 ms |
3200 KB |
Output is correct |
63 |
Correct |
896 ms |
3420 KB |
Output is correct |
64 |
Correct |
785 ms |
2992 KB |
Output is correct |
65 |
Correct |
0 ms |
212 KB |
Output is correct |
66 |
Correct |
0 ms |
212 KB |
Output is correct |
67 |
Correct |
847 ms |
3276 KB |
Output is correct |
68 |
Correct |
859 ms |
5432 KB |
Output is correct |
69 |
Correct |
765 ms |
4796 KB |
Output is correct |
70 |
Correct |
842 ms |
5276 KB |
Output is correct |
71 |
Correct |
814 ms |
5352 KB |
Output is correct |
72 |
Correct |
786 ms |
5108 KB |
Output is correct |
73 |
Correct |
782 ms |
4984 KB |
Output is correct |
74 |
Correct |
844 ms |
5324 KB |
Output is correct |
75 |
Correct |
820 ms |
5200 KB |
Output is correct |
76 |
Correct |
867 ms |
5496 KB |
Output is correct |
77 |
Correct |
202 ms |
5744 KB |
Output is correct |
78 |
Correct |
105 ms |
5180 KB |
Output is correct |
79 |
Correct |
147 ms |
4848 KB |
Output is correct |
80 |
Correct |
159 ms |
5100 KB |
Output is correct |
81 |
Correct |
149 ms |
4756 KB |
Output is correct |
82 |
Correct |
139 ms |
5480 KB |
Output is correct |
83 |
Correct |
119 ms |
5004 KB |
Output is correct |
84 |
Correct |
562 ms |
5732 KB |
Output is correct |
85 |
Correct |
906 ms |
5716 KB |
Output is correct |
86 |
Correct |
2 ms |
296 KB |
Output is correct |
87 |
Correct |
1 ms |
212 KB |
Output is correct |
88 |
Correct |
936 ms |
5828 KB |
Output is correct |
89 |
Correct |
178 ms |
1328 KB |
Output is correct |
90 |
Correct |
1 ms |
300 KB |
Output is correct |