#include<bits/stdc++.h>
#ifndef LOCAL
#define cerr if(false)cerr
#endif // LOCAL
using namespace std;
using ll = long long;
const int N = 1e6 + 66;
#define y1 slkdjflkjsdlfkjlskjfjklkdjslfjslkdjflkjlsdkjflkjslkdjflkdslfkjsldklkjsdjfntnfj
#define y0 alsjdljrktnmndfdfgjhkjhdkfjgbtnmbmfhkjgdkjfhkjxhkjhgtgbhhdjbhjhtdbjbhjhtbhbgbb
int x0[N], y0[N], x1[N], y1[N], n, k;
ll cnt(int d, int x, int y) {
if (x < 0 || y < 0) return 0;
int X = x / d, Y = y / d;
if (0) {
ll cur = 0;
for (int i = 0 ; i < X * d ; ++ i) {
for (int j = 0 ; j < Y * d ; ++ j) {
if ((i / d + j / d) % 2 == 0) cur++;
}
}
return cur;
}
cerr << d << " : " << x << " " << y << " " << X << " " << Y << endl;
ll cur = ((X * 1ll * Y + 1) / 2) * d * d;
ll Xc = Y % 2 == 1 ? X / 2 : (X + 1) / 2;
ll Yc = X % 2 == 1 ? Y / 2 : (Y + 1) / 2;
cur += Xc * d * (y - Y * d + 1);
cur += Yc * d * (x - X * d + 1);
if ((X + Y) % 2 == 0)
cur += (x - X * d + 1) * 1ll * (y - Y * d + 1);
return cur;
}
ll solve(int d) {
ll cur = cnt(d, n-1, n-1);
for (int i = 0 ; i < k ; ++ i) {
ll black = cnt(d, x1[i], y1[i]) - cnt(d, x0[i] - 1, y1[i]) - cnt(d, x1[i], y0[i] - 1) + cnt(d, x0[i] - 1, y0[i] - 1);
ll area = (y1[i] - y0[i] + 1) * 1ll * (x1[i] - x0[i] + 1);
//cerr << d << " " << black << " " << area << " d/black/area\n";
cur += area - black * 2;
}
return cur;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0), cout.tie(0);
cin >> n >> k;
for (int i = 0 ; i < k ; ++ i) {
cin >> x0[i] >> y0[i] >> x1[i] >> y1[i];
x0[i]--, y0[i]--, x1[i]--, y1[i]--;
}
ll ans = n * 1ll * n;
for (int d = 1 ; d < n ; ++ d) {
if (n % d == 0) {
for (int i = 0 ; i < n ; ++ i) {
for (int j = 0 ; j < n ; ++ j) {
if ((i / d + j / d) % 2 == 0) cerr << "X";
else cerr << ".";
}
cerr << "\n";
}
cerr << "\n";
ll cur = solve(d);
ans = min(ans, min(cur, n * 1ll * n - cur));
}
}
cout << ans;
}
Compilation message
chessboard.cpp: In function 'int main()':
chessboard.cpp:61:9: warning: suggest explicit braces to avoid ambiguous 'else' [-Wdangling-else]
61 | if ((i / d + j / d) % 2 == 0) cerr << "X";
| ^
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
0 ms |
364 KB |
Output is correct |
3 |
Correct |
0 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
0 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
27 ms |
1516 KB |
Output is correct |
2 |
Correct |
8 ms |
748 KB |
Output is correct |
3 |
Correct |
17 ms |
1004 KB |
Output is correct |
4 |
Correct |
19 ms |
1132 KB |
Output is correct |
5 |
Correct |
25 ms |
1260 KB |
Output is correct |
6 |
Correct |
17 ms |
876 KB |
Output is correct |
7 |
Correct |
4 ms |
492 KB |
Output is correct |
8 |
Correct |
17 ms |
1024 KB |
Output is correct |
9 |
Correct |
39 ms |
1900 KB |
Output is correct |
10 |
Correct |
27 ms |
1132 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
384 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
1 ms |
364 KB |
Output is correct |
3 |
Correct |
1 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
1 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
1 ms |
364 KB |
Output is correct |
10 |
Correct |
1 ms |
364 KB |
Output is correct |
11 |
Correct |
1 ms |
384 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
14 ms |
748 KB |
Output is correct |
17 |
Correct |
32 ms |
3052 KB |
Output is correct |
18 |
Correct |
50 ms |
3564 KB |
Output is correct |
19 |
Correct |
174 ms |
3308 KB |
Output is correct |
20 |
Correct |
194 ms |
3564 KB |
Output is correct |
21 |
Correct |
32 ms |
2924 KB |
Output is correct |
22 |
Correct |
1 ms |
364 KB |
Output is correct |
23 |
Correct |
32 ms |
1772 KB |
Output is correct |
24 |
Correct |
46 ms |
3212 KB |
Output is correct |
25 |
Correct |
8 ms |
620 KB |
Output is correct |
26 |
Correct |
35 ms |
2156 KB |
Output is correct |
27 |
Correct |
43 ms |
2540 KB |
Output is correct |
28 |
Correct |
49 ms |
3436 KB |
Output is correct |
29 |
Correct |
13 ms |
1388 KB |
Output is correct |
30 |
Correct |
2 ms |
492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
27 ms |
1516 KB |
Output is correct |
2 |
Correct |
8 ms |
748 KB |
Output is correct |
3 |
Correct |
17 ms |
1004 KB |
Output is correct |
4 |
Correct |
19 ms |
1132 KB |
Output is correct |
5 |
Correct |
25 ms |
1260 KB |
Output is correct |
6 |
Correct |
17 ms |
876 KB |
Output is correct |
7 |
Correct |
4 ms |
492 KB |
Output is correct |
8 |
Correct |
17 ms |
1024 KB |
Output is correct |
9 |
Correct |
39 ms |
1900 KB |
Output is correct |
10 |
Correct |
27 ms |
1132 KB |
Output is correct |
11 |
Correct |
1 ms |
364 KB |
Output is correct |
12 |
Correct |
1 ms |
364 KB |
Output is correct |
13 |
Correct |
1 ms |
364 KB |
Output is correct |
14 |
Correct |
1 ms |
364 KB |
Output is correct |
15 |
Correct |
1 ms |
364 KB |
Output is correct |
16 |
Correct |
1 ms |
364 KB |
Output is correct |
17 |
Correct |
1 ms |
364 KB |
Output is correct |
18 |
Correct |
1 ms |
364 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
21 |
Correct |
1 ms |
384 KB |
Output is correct |
22 |
Correct |
1 ms |
364 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Correct |
1 ms |
364 KB |
Output is correct |
25 |
Correct |
1 ms |
364 KB |
Output is correct |
26 |
Correct |
14 ms |
748 KB |
Output is correct |
27 |
Correct |
32 ms |
3052 KB |
Output is correct |
28 |
Correct |
50 ms |
3564 KB |
Output is correct |
29 |
Correct |
174 ms |
3308 KB |
Output is correct |
30 |
Correct |
194 ms |
3564 KB |
Output is correct |
31 |
Correct |
32 ms |
2924 KB |
Output is correct |
32 |
Correct |
1 ms |
364 KB |
Output is correct |
33 |
Correct |
32 ms |
1772 KB |
Output is correct |
34 |
Correct |
46 ms |
3212 KB |
Output is correct |
35 |
Correct |
8 ms |
620 KB |
Output is correct |
36 |
Correct |
35 ms |
2156 KB |
Output is correct |
37 |
Correct |
43 ms |
2540 KB |
Output is correct |
38 |
Correct |
49 ms |
3436 KB |
Output is correct |
39 |
Correct |
13 ms |
1388 KB |
Output is correct |
40 |
Correct |
2 ms |
492 KB |
Output is correct |
41 |
Correct |
155 ms |
3820 KB |
Output is correct |
42 |
Correct |
54 ms |
4076 KB |
Output is correct |
43 |
Correct |
91 ms |
3692 KB |
Output is correct |
44 |
Correct |
53 ms |
3948 KB |
Output is correct |
45 |
Correct |
55 ms |
4204 KB |
Output is correct |
46 |
Correct |
191 ms |
4204 KB |
Output is correct |
47 |
Correct |
39 ms |
3820 KB |
Output is correct |
48 |
Correct |
76 ms |
3820 KB |
Output is correct |
49 |
Correct |
52 ms |
3820 KB |
Output is correct |
50 |
Correct |
775 ms |
3948 KB |
Output is correct |
51 |
Correct |
832 ms |
4332 KB |
Output is correct |
52 |
Correct |
776 ms |
3948 KB |
Output is correct |
53 |
Correct |
894 ms |
4332 KB |
Output is correct |
54 |
Correct |
767 ms |
4076 KB |
Output is correct |
55 |
Correct |
867 ms |
4460 KB |
Output is correct |
56 |
Correct |
737 ms |
3948 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
364 KB |
Output is correct |
2 |
Correct |
0 ms |
364 KB |
Output is correct |
3 |
Correct |
0 ms |
364 KB |
Output is correct |
4 |
Correct |
1 ms |
364 KB |
Output is correct |
5 |
Correct |
1 ms |
364 KB |
Output is correct |
6 |
Correct |
1 ms |
364 KB |
Output is correct |
7 |
Correct |
0 ms |
364 KB |
Output is correct |
8 |
Correct |
1 ms |
364 KB |
Output is correct |
9 |
Correct |
27 ms |
1516 KB |
Output is correct |
10 |
Correct |
8 ms |
748 KB |
Output is correct |
11 |
Correct |
17 ms |
1004 KB |
Output is correct |
12 |
Correct |
19 ms |
1132 KB |
Output is correct |
13 |
Correct |
25 ms |
1260 KB |
Output is correct |
14 |
Correct |
17 ms |
876 KB |
Output is correct |
15 |
Correct |
4 ms |
492 KB |
Output is correct |
16 |
Correct |
17 ms |
1024 KB |
Output is correct |
17 |
Correct |
39 ms |
1900 KB |
Output is correct |
18 |
Correct |
27 ms |
1132 KB |
Output is correct |
19 |
Correct |
1 ms |
364 KB |
Output is correct |
20 |
Correct |
1 ms |
364 KB |
Output is correct |
21 |
Correct |
1 ms |
364 KB |
Output is correct |
22 |
Correct |
1 ms |
364 KB |
Output is correct |
23 |
Correct |
1 ms |
364 KB |
Output is correct |
24 |
Correct |
1 ms |
364 KB |
Output is correct |
25 |
Correct |
1 ms |
364 KB |
Output is correct |
26 |
Correct |
1 ms |
364 KB |
Output is correct |
27 |
Correct |
1 ms |
364 KB |
Output is correct |
28 |
Correct |
1 ms |
364 KB |
Output is correct |
29 |
Correct |
1 ms |
384 KB |
Output is correct |
30 |
Correct |
1 ms |
364 KB |
Output is correct |
31 |
Correct |
1 ms |
364 KB |
Output is correct |
32 |
Correct |
1 ms |
364 KB |
Output is correct |
33 |
Correct |
1 ms |
364 KB |
Output is correct |
34 |
Correct |
14 ms |
748 KB |
Output is correct |
35 |
Correct |
32 ms |
3052 KB |
Output is correct |
36 |
Correct |
50 ms |
3564 KB |
Output is correct |
37 |
Correct |
174 ms |
3308 KB |
Output is correct |
38 |
Correct |
194 ms |
3564 KB |
Output is correct |
39 |
Correct |
32 ms |
2924 KB |
Output is correct |
40 |
Correct |
1 ms |
364 KB |
Output is correct |
41 |
Correct |
32 ms |
1772 KB |
Output is correct |
42 |
Correct |
46 ms |
3212 KB |
Output is correct |
43 |
Correct |
8 ms |
620 KB |
Output is correct |
44 |
Correct |
35 ms |
2156 KB |
Output is correct |
45 |
Correct |
43 ms |
2540 KB |
Output is correct |
46 |
Correct |
49 ms |
3436 KB |
Output is correct |
47 |
Correct |
13 ms |
1388 KB |
Output is correct |
48 |
Correct |
2 ms |
492 KB |
Output is correct |
49 |
Correct |
155 ms |
3820 KB |
Output is correct |
50 |
Correct |
54 ms |
4076 KB |
Output is correct |
51 |
Correct |
91 ms |
3692 KB |
Output is correct |
52 |
Correct |
53 ms |
3948 KB |
Output is correct |
53 |
Correct |
55 ms |
4204 KB |
Output is correct |
54 |
Correct |
191 ms |
4204 KB |
Output is correct |
55 |
Correct |
39 ms |
3820 KB |
Output is correct |
56 |
Correct |
76 ms |
3820 KB |
Output is correct |
57 |
Correct |
52 ms |
3820 KB |
Output is correct |
58 |
Correct |
775 ms |
3948 KB |
Output is correct |
59 |
Correct |
832 ms |
4332 KB |
Output is correct |
60 |
Correct |
776 ms |
3948 KB |
Output is correct |
61 |
Correct |
894 ms |
4332 KB |
Output is correct |
62 |
Correct |
767 ms |
4076 KB |
Output is correct |
63 |
Correct |
867 ms |
4460 KB |
Output is correct |
64 |
Correct |
737 ms |
3948 KB |
Output is correct |
65 |
Correct |
1 ms |
364 KB |
Output is correct |
66 |
Correct |
1 ms |
364 KB |
Output is correct |
67 |
Correct |
824 ms |
4204 KB |
Output is correct |
68 |
Correct |
836 ms |
4204 KB |
Output is correct |
69 |
Correct |
717 ms |
3564 KB |
Output is correct |
70 |
Correct |
784 ms |
4076 KB |
Output is correct |
71 |
Correct |
784 ms |
3960 KB |
Output is correct |
72 |
Correct |
753 ms |
4096 KB |
Output is correct |
73 |
Correct |
754 ms |
3820 KB |
Output is correct |
74 |
Correct |
808 ms |
4140 KB |
Output is correct |
75 |
Correct |
774 ms |
3948 KB |
Output is correct |
76 |
Correct |
825 ms |
4296 KB |
Output is correct |
77 |
Correct |
139 ms |
4460 KB |
Output is correct |
78 |
Correct |
54 ms |
3948 KB |
Output is correct |
79 |
Correct |
99 ms |
3692 KB |
Output is correct |
80 |
Correct |
109 ms |
3948 KB |
Output is correct |
81 |
Correct |
92 ms |
3684 KB |
Output is correct |
82 |
Correct |
84 ms |
4076 KB |
Output is correct |
83 |
Correct |
67 ms |
3820 KB |
Output is correct |
84 |
Correct |
497 ms |
4332 KB |
Output is correct |
85 |
Correct |
862 ms |
4304 KB |
Output is correct |
86 |
Correct |
2 ms |
364 KB |
Output is correct |
87 |
Correct |
1 ms |
364 KB |
Output is correct |
88 |
Correct |
880 ms |
4460 KB |
Output is correct |
89 |
Correct |
171 ms |
1260 KB |
Output is correct |
90 |
Correct |
1 ms |
364 KB |
Output is correct |