#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define sz(x) ((int)(x).size())
#define all(x) (x).begin(), (x).end()
using namespace std;
ll Fw(ll n, ll m, int w) {
return n / w * m / w / 2 * w * w;
}
ll Fb(ll n, ll m, int w) {
return n * m - Fw(n, m, w);
}
ll B(ll n, ll m, int w, int x = 0, int y = 0) {
if(x / w + y / w & 1)
return Fb(n, m, w);
return Fw(n, m, w);
}
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
#ifdef wambule
freopen("untitledfile.txt", "r", stdin);
#endif
ll n;
int k;
cin >> n >> k;
vector<array<int, 4>> v;
for(int i = 0; i < k; ++i) {
array<int, 4> x;
cin >> x[0] >> x[2] >> x[1] >> x[3];
x[0] -= 1; x[1] -= 1;
x[2] -= 1; x[3] -= 1;
v.push_back(x);
}
vector<int> d{1};
for(int i = 2; i * i <= n; ++i) {
if(n % i == 0) {
d.push_back(i);
if(i * i ^ n) d.push_back(n / i);
}
}
ll fp = n * n;
for(int w : d) {
ll ap = B(n, n, w);
// cout << w << " -0- " << ap << endl;
for(auto y : v) {
array<int, 4> x;
x[0] = y[0] / w * w;
x[2] = y[2] / w * w;
x[1] = y[1] / w * w + w - 1;
x[3] = y[3] / w * w + w - 1;
ll xn = x[1] - x[0] + 1;
ll xm = x[3] - x[2] + 1;
ll tp = B(xn, xm, w, x[0], x[2]);
tp -= B(w, xm, w, x[0], x[2]) / w * (y[0] - x[0]);
tp -= B(w, xm, w, x[1] + 1 - w, x[2]) / w * (x[1] - y[1]);
tp -= B(xn, w, w, x[0], x[2]) / w * (y[2] - x[2]);
tp -= B(xn, w, w, x[0], x[3] + 1 - w) / w * (x[3] - y[3]);
tp += B(w, w, w, x[0], x[2]) / w / w * (y[2] - x[2]) * (y[0] - x[0]);
tp += B(w, w, w, x[0], x[3] + 1 - w) / w / w * (x[3] - y[3]) * (y[0] - x[0]);
tp += B(w, w, w, x[1] + 1 - w, x[3] + 1 - w) / w / w * (x[3] - y[3]) * (x[1] - y[1]);
tp += B(w, w, w, x[1] + 1 - w, x[2]) / w / w * (y[2] - x[2]) * (x[1] - y[1]);
ap -= tp;
ap += 1ll * (y[1] - y[0] + 1) * (y[3] - y[2] + 1) - tp;
// cout << w << "\n";
// cout << y[0] << " " << y[1] << " " << y[2] << " " << y[3] << "\n";
// cout << x[0] << " " << x[1] << " " << x[2] << " " << x[3] << "\n";
// cout << tp << "\n\n";
}
// cout << w << " -1- " << ap << endl;
fp = min(fp, min(ap, n * n - ap));
}
cout << fp << endl;
return 0;
}
Compilation message
chessboard.cpp: In function 'long long int B(long long int, long long int, int, int, int)':
chessboard.cpp:15:11: warning: suggest parentheses around '+' in operand of '&' [-Wparentheses]
15 | if(x / w + y / w & 1)
| ~~~~~~^~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
292 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
24 ms |
2880 KB |
Output is correct |
2 |
Correct |
7 ms |
1220 KB |
Output is correct |
3 |
Correct |
15 ms |
2412 KB |
Output is correct |
4 |
Correct |
16 ms |
2240 KB |
Output is correct |
5 |
Correct |
21 ms |
2516 KB |
Output is correct |
6 |
Correct |
15 ms |
2212 KB |
Output is correct |
7 |
Correct |
3 ms |
716 KB |
Output is correct |
8 |
Correct |
14 ms |
2264 KB |
Output is correct |
9 |
Correct |
37 ms |
4028 KB |
Output is correct |
10 |
Correct |
21 ms |
2388 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
312 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
316 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
308 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
320 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
332 KB |
Output is correct |
2 |
Correct |
1 ms |
312 KB |
Output is correct |
3 |
Correct |
1 ms |
204 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
1 ms |
332 KB |
Output is correct |
6 |
Correct |
1 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
316 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
204 KB |
Output is correct |
11 |
Correct |
1 ms |
308 KB |
Output is correct |
12 |
Correct |
1 ms |
332 KB |
Output is correct |
13 |
Correct |
1 ms |
320 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
15 ms |
1300 KB |
Output is correct |
17 |
Correct |
27 ms |
3844 KB |
Output is correct |
18 |
Correct |
42 ms |
3632 KB |
Output is correct |
19 |
Correct |
163 ms |
3708 KB |
Output is correct |
20 |
Correct |
181 ms |
3720 KB |
Output is correct |
21 |
Correct |
25 ms |
3648 KB |
Output is correct |
22 |
Correct |
1 ms |
292 KB |
Output is correct |
23 |
Correct |
27 ms |
2108 KB |
Output is correct |
24 |
Correct |
38 ms |
3700 KB |
Output is correct |
25 |
Correct |
6 ms |
832 KB |
Output is correct |
26 |
Correct |
25 ms |
2200 KB |
Output is correct |
27 |
Correct |
44 ms |
3592 KB |
Output is correct |
28 |
Correct |
43 ms |
3636 KB |
Output is correct |
29 |
Correct |
12 ms |
2000 KB |
Output is correct |
30 |
Correct |
2 ms |
368 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
24 ms |
2880 KB |
Output is correct |
2 |
Correct |
7 ms |
1220 KB |
Output is correct |
3 |
Correct |
15 ms |
2412 KB |
Output is correct |
4 |
Correct |
16 ms |
2240 KB |
Output is correct |
5 |
Correct |
21 ms |
2516 KB |
Output is correct |
6 |
Correct |
15 ms |
2212 KB |
Output is correct |
7 |
Correct |
3 ms |
716 KB |
Output is correct |
8 |
Correct |
14 ms |
2264 KB |
Output is correct |
9 |
Correct |
37 ms |
4028 KB |
Output is correct |
10 |
Correct |
21 ms |
2388 KB |
Output is correct |
11 |
Correct |
1 ms |
332 KB |
Output is correct |
12 |
Correct |
1 ms |
312 KB |
Output is correct |
13 |
Correct |
1 ms |
204 KB |
Output is correct |
14 |
Correct |
1 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
1 ms |
316 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
204 KB |
Output is correct |
21 |
Correct |
1 ms |
308 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
320 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
15 ms |
1300 KB |
Output is correct |
27 |
Correct |
27 ms |
3844 KB |
Output is correct |
28 |
Correct |
42 ms |
3632 KB |
Output is correct |
29 |
Correct |
163 ms |
3708 KB |
Output is correct |
30 |
Correct |
181 ms |
3720 KB |
Output is correct |
31 |
Correct |
25 ms |
3648 KB |
Output is correct |
32 |
Correct |
1 ms |
292 KB |
Output is correct |
33 |
Correct |
27 ms |
2108 KB |
Output is correct |
34 |
Correct |
38 ms |
3700 KB |
Output is correct |
35 |
Correct |
6 ms |
832 KB |
Output is correct |
36 |
Correct |
25 ms |
2200 KB |
Output is correct |
37 |
Correct |
44 ms |
3592 KB |
Output is correct |
38 |
Correct |
43 ms |
3636 KB |
Output is correct |
39 |
Correct |
12 ms |
2000 KB |
Output is correct |
40 |
Correct |
2 ms |
368 KB |
Output is correct |
41 |
Correct |
147 ms |
4252 KB |
Output is correct |
42 |
Correct |
47 ms |
4244 KB |
Output is correct |
43 |
Correct |
81 ms |
4152 KB |
Output is correct |
44 |
Correct |
45 ms |
4160 KB |
Output is correct |
45 |
Correct |
35 ms |
4288 KB |
Output is correct |
46 |
Correct |
169 ms |
4244 KB |
Output is correct |
47 |
Correct |
32 ms |
4200 KB |
Output is correct |
48 |
Correct |
64 ms |
4156 KB |
Output is correct |
49 |
Correct |
46 ms |
4188 KB |
Output is correct |
50 |
Correct |
750 ms |
4232 KB |
Output is correct |
51 |
Correct |
814 ms |
4404 KB |
Output is correct |
52 |
Correct |
754 ms |
4196 KB |
Output is correct |
53 |
Correct |
786 ms |
4240 KB |
Output is correct |
54 |
Correct |
714 ms |
4276 KB |
Output is correct |
55 |
Correct |
815 ms |
4488 KB |
Output is correct |
56 |
Correct |
733 ms |
4232 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
204 KB |
Output is correct |
2 |
Correct |
0 ms |
204 KB |
Output is correct |
3 |
Correct |
0 ms |
204 KB |
Output is correct |
4 |
Correct |
0 ms |
204 KB |
Output is correct |
5 |
Correct |
0 ms |
292 KB |
Output is correct |
6 |
Correct |
0 ms |
204 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
204 KB |
Output is correct |
9 |
Correct |
24 ms |
2880 KB |
Output is correct |
10 |
Correct |
7 ms |
1220 KB |
Output is correct |
11 |
Correct |
15 ms |
2412 KB |
Output is correct |
12 |
Correct |
16 ms |
2240 KB |
Output is correct |
13 |
Correct |
21 ms |
2516 KB |
Output is correct |
14 |
Correct |
15 ms |
2212 KB |
Output is correct |
15 |
Correct |
3 ms |
716 KB |
Output is correct |
16 |
Correct |
14 ms |
2264 KB |
Output is correct |
17 |
Correct |
37 ms |
4028 KB |
Output is correct |
18 |
Correct |
21 ms |
2388 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
312 KB |
Output is correct |
21 |
Correct |
1 ms |
204 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
332 KB |
Output is correct |
26 |
Correct |
1 ms |
316 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
204 KB |
Output is correct |
29 |
Correct |
1 ms |
308 KB |
Output is correct |
30 |
Correct |
1 ms |
332 KB |
Output is correct |
31 |
Correct |
1 ms |
320 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
332 KB |
Output is correct |
34 |
Correct |
15 ms |
1300 KB |
Output is correct |
35 |
Correct |
27 ms |
3844 KB |
Output is correct |
36 |
Correct |
42 ms |
3632 KB |
Output is correct |
37 |
Correct |
163 ms |
3708 KB |
Output is correct |
38 |
Correct |
181 ms |
3720 KB |
Output is correct |
39 |
Correct |
25 ms |
3648 KB |
Output is correct |
40 |
Correct |
1 ms |
292 KB |
Output is correct |
41 |
Correct |
27 ms |
2108 KB |
Output is correct |
42 |
Correct |
38 ms |
3700 KB |
Output is correct |
43 |
Correct |
6 ms |
832 KB |
Output is correct |
44 |
Correct |
25 ms |
2200 KB |
Output is correct |
45 |
Correct |
44 ms |
3592 KB |
Output is correct |
46 |
Correct |
43 ms |
3636 KB |
Output is correct |
47 |
Correct |
12 ms |
2000 KB |
Output is correct |
48 |
Correct |
2 ms |
368 KB |
Output is correct |
49 |
Correct |
147 ms |
4252 KB |
Output is correct |
50 |
Correct |
47 ms |
4244 KB |
Output is correct |
51 |
Correct |
81 ms |
4152 KB |
Output is correct |
52 |
Correct |
45 ms |
4160 KB |
Output is correct |
53 |
Correct |
35 ms |
4288 KB |
Output is correct |
54 |
Correct |
169 ms |
4244 KB |
Output is correct |
55 |
Correct |
32 ms |
4200 KB |
Output is correct |
56 |
Correct |
64 ms |
4156 KB |
Output is correct |
57 |
Correct |
46 ms |
4188 KB |
Output is correct |
58 |
Correct |
750 ms |
4232 KB |
Output is correct |
59 |
Correct |
814 ms |
4404 KB |
Output is correct |
60 |
Correct |
754 ms |
4196 KB |
Output is correct |
61 |
Correct |
786 ms |
4240 KB |
Output is correct |
62 |
Correct |
714 ms |
4276 KB |
Output is correct |
63 |
Correct |
815 ms |
4488 KB |
Output is correct |
64 |
Correct |
733 ms |
4232 KB |
Output is correct |
65 |
Correct |
0 ms |
288 KB |
Output is correct |
66 |
Correct |
0 ms |
312 KB |
Output is correct |
67 |
Correct |
766 ms |
4200 KB |
Output is correct |
68 |
Correct |
780 ms |
4152 KB |
Output is correct |
69 |
Correct |
673 ms |
4224 KB |
Output is correct |
70 |
Correct |
749 ms |
4164 KB |
Output is correct |
71 |
Correct |
730 ms |
4276 KB |
Output is correct |
72 |
Correct |
693 ms |
4268 KB |
Output is correct |
73 |
Correct |
730 ms |
4272 KB |
Output is correct |
74 |
Correct |
777 ms |
4244 KB |
Output is correct |
75 |
Correct |
711 ms |
4268 KB |
Output is correct |
76 |
Correct |
785 ms |
4216 KB |
Output is correct |
77 |
Correct |
124 ms |
4436 KB |
Output is correct |
78 |
Correct |
50 ms |
4124 KB |
Output is correct |
79 |
Correct |
93 ms |
4276 KB |
Output is correct |
80 |
Correct |
87 ms |
4208 KB |
Output is correct |
81 |
Correct |
88 ms |
4236 KB |
Output is correct |
82 |
Correct |
76 ms |
4256 KB |
Output is correct |
83 |
Correct |
51 ms |
4196 KB |
Output is correct |
84 |
Correct |
479 ms |
4284 KB |
Output is correct |
85 |
Correct |
816 ms |
4304 KB |
Output is correct |
86 |
Correct |
1 ms |
204 KB |
Output is correct |
87 |
Correct |
1 ms |
308 KB |
Output is correct |
88 |
Correct |
839 ms |
4396 KB |
Output is correct |
89 |
Correct |
158 ms |
1356 KB |
Output is correct |
90 |
Correct |
0 ms |
204 KB |
Output is correct |