#include <bits/stdc++.h>
using namespace std;
int32_t main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, k;
cin >> n >> k;
vector<int> a(k), b(k), aa(k), bb(k);
for (int i = 0; i < k; i++) {
cin >> a[i] >> b[i] >> aa[i] >> bb[i];
a[i]--, b[i]--, aa[i]--, bb[i]--;
}
int64_t res = 1ll * n * n;
vector<int64_t> cntb(2, 0);
vector<int64_t> need(2, 0);
for (int i = 1; i < n; i++) {
if (n % i) continue;
vector<int64_t> cntb(2, 0);
vector<int64_t> need(2, 0);
need[0] = 1ll * (n / i) * (n / i);
need[1] = need[0] / 2;
need[0] -= need[1];
need[0] *= 1ll * i * i;
need[1] *= 1ll * i * i;
auto add_same = [&](int id, int u, int v, int length) {
int x = i - u % i;
int uu = u / i, vv = v / i;
assert(uu < vv);
cntb[(uu ^ id) & 1] += 1ll * length * x;
int y = v % i + 1;
cntb[(vv ^ id) & 1] += 1ll * length * y;
uu++, vv--;
if (uu <= vv) {
int64_t addu = 1ll * length * ((vv - uu + 1) / 2 + (((uu ^ vv) & 1) == 0)) * i;
cntb[(uu ^ vv) & 1] += addu;
cntb[(uu ^ vv) & 1 ^ 1] += 1ll * (vv - uu + 1) * length * i - addu;
}
};
auto add = [&](int x, int y, int u, int v) {
int up = x / i;
int dn = u / i;
int lt = y / i;
int rt = v / i;
if (up == dn) {
if (lt == rt) {
cntb[(up ^ lt) & 1] += 1ll * (u - x + 1) * (v - y + 1);
} else {
add_same(up, y, v, u - x + 1);
}
} else {
if (lt == rt) {
add_same(lt, x, u, y - v + 1);
} else {
add_same(up, y, v, i - x % i);
add_same(dn, y, v, y % i + 1);
add_same(lt, x + (i - x % i), y - (y % i + 1), i - u % i);
add_same(rt, x + (i - x % i), y - (y % i + 1), v % i + 1);
up++, dn--, lt++, rt--;
int64_t p = 1ll * (up - dn + 1) * (rt - lt + 1);
int64_t q = p / 2;
p -= q;
cntb[(up ^ lt) & 1] += 1ll * p * i * i;
cntb[(up + lt) & 1 & 1] += 1ll * q * i * i;
}
}
};
for (int j = 0; j < k; j++) add(a[j], b[j], aa[j], bb[j]);
/// (0, 0) white
res = min(res, cntb[0] + need[1] - cntb[1]);
res = min(res, need[0] - cntb[0] + cntb[1]);
}
cout << res;
}
Compilation message
chessboard.cpp: In lambda function:
chessboard.cpp:41:48: warning: suggest parentheses around arithmetic in operand of '^' [-Wparentheses]
41 | cntb[(uu ^ vv) & 1 ^ 1] += 1ll * (vv - uu + 1) * length * i - addu;
| ~~~~~~~~~~^~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
1 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
17 ms |
2720 KB |
Output is correct |
2 |
Correct |
5 ms |
1060 KB |
Output is correct |
3 |
Correct |
11 ms |
1880 KB |
Output is correct |
4 |
Correct |
12 ms |
1880 KB |
Output is correct |
5 |
Correct |
15 ms |
2596 KB |
Output is correct |
6 |
Correct |
10 ms |
1624 KB |
Output is correct |
7 |
Correct |
3 ms |
600 KB |
Output is correct |
8 |
Correct |
10 ms |
1624 KB |
Output is correct |
9 |
Correct |
26 ms |
4184 KB |
Output is correct |
10 |
Correct |
14 ms |
2392 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
0 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
344 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
1 ms |
344 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
1 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
1 ms |
344 KB |
Output is correct |
9 |
Correct |
0 ms |
344 KB |
Output is correct |
10 |
Correct |
1 ms |
344 KB |
Output is correct |
11 |
Correct |
0 ms |
348 KB |
Output is correct |
12 |
Correct |
1 ms |
344 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
1 ms |
344 KB |
Output is correct |
15 |
Correct |
1 ms |
348 KB |
Output is correct |
16 |
Correct |
7 ms |
1112 KB |
Output is correct |
17 |
Correct |
18 ms |
3160 KB |
Output is correct |
18 |
Correct |
25 ms |
3416 KB |
Output is correct |
19 |
Correct |
63 ms |
3164 KB |
Output is correct |
20 |
Correct |
70 ms |
3416 KB |
Output is correct |
21 |
Correct |
18 ms |
2896 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
15 ms |
1624 KB |
Output is correct |
24 |
Correct |
23 ms |
3160 KB |
Output is correct |
25 |
Correct |
3 ms |
600 KB |
Output is correct |
26 |
Correct |
16 ms |
2260 KB |
Output is correct |
27 |
Correct |
21 ms |
2392 KB |
Output is correct |
28 |
Correct |
25 ms |
3360 KB |
Output is correct |
29 |
Correct |
8 ms |
1528 KB |
Output is correct |
30 |
Correct |
1 ms |
344 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
17 ms |
2720 KB |
Output is correct |
2 |
Correct |
5 ms |
1060 KB |
Output is correct |
3 |
Correct |
11 ms |
1880 KB |
Output is correct |
4 |
Correct |
12 ms |
1880 KB |
Output is correct |
5 |
Correct |
15 ms |
2596 KB |
Output is correct |
6 |
Correct |
10 ms |
1624 KB |
Output is correct |
7 |
Correct |
3 ms |
600 KB |
Output is correct |
8 |
Correct |
10 ms |
1624 KB |
Output is correct |
9 |
Correct |
26 ms |
4184 KB |
Output is correct |
10 |
Correct |
14 ms |
2392 KB |
Output is correct |
11 |
Correct |
0 ms |
344 KB |
Output is correct |
12 |
Correct |
0 ms |
344 KB |
Output is correct |
13 |
Correct |
1 ms |
344 KB |
Output is correct |
14 |
Correct |
1 ms |
348 KB |
Output is correct |
15 |
Correct |
1 ms |
344 KB |
Output is correct |
16 |
Correct |
0 ms |
348 KB |
Output is correct |
17 |
Correct |
0 ms |
348 KB |
Output is correct |
18 |
Correct |
1 ms |
344 KB |
Output is correct |
19 |
Correct |
0 ms |
344 KB |
Output is correct |
20 |
Correct |
1 ms |
344 KB |
Output is correct |
21 |
Correct |
0 ms |
348 KB |
Output is correct |
22 |
Correct |
1 ms |
344 KB |
Output is correct |
23 |
Correct |
1 ms |
344 KB |
Output is correct |
24 |
Correct |
1 ms |
344 KB |
Output is correct |
25 |
Correct |
1 ms |
348 KB |
Output is correct |
26 |
Correct |
7 ms |
1112 KB |
Output is correct |
27 |
Correct |
18 ms |
3160 KB |
Output is correct |
28 |
Correct |
25 ms |
3416 KB |
Output is correct |
29 |
Correct |
63 ms |
3164 KB |
Output is correct |
30 |
Correct |
70 ms |
3416 KB |
Output is correct |
31 |
Correct |
18 ms |
2896 KB |
Output is correct |
32 |
Correct |
1 ms |
348 KB |
Output is correct |
33 |
Correct |
15 ms |
1624 KB |
Output is correct |
34 |
Correct |
23 ms |
3160 KB |
Output is correct |
35 |
Correct |
3 ms |
600 KB |
Output is correct |
36 |
Correct |
16 ms |
2260 KB |
Output is correct |
37 |
Correct |
21 ms |
2392 KB |
Output is correct |
38 |
Correct |
25 ms |
3360 KB |
Output is correct |
39 |
Correct |
8 ms |
1528 KB |
Output is correct |
40 |
Correct |
1 ms |
344 KB |
Output is correct |
41 |
Correct |
60 ms |
3724 KB |
Output is correct |
42 |
Correct |
29 ms |
4184 KB |
Output is correct |
43 |
Correct |
41 ms |
3676 KB |
Output is correct |
44 |
Correct |
28 ms |
3920 KB |
Output is correct |
45 |
Correct |
28 ms |
4176 KB |
Output is correct |
46 |
Correct |
67 ms |
4124 KB |
Output is correct |
47 |
Correct |
23 ms |
3676 KB |
Output is correct |
48 |
Correct |
35 ms |
3856 KB |
Output is correct |
49 |
Correct |
26 ms |
3660 KB |
Output is correct |
50 |
Correct |
263 ms |
3920 KB |
Output is correct |
51 |
Correct |
281 ms |
4288 KB |
Output is correct |
52 |
Correct |
262 ms |
4004 KB |
Output is correct |
53 |
Correct |
279 ms |
4248 KB |
Output is correct |
54 |
Correct |
258 ms |
3920 KB |
Output is correct |
55 |
Correct |
290 ms |
4404 KB |
Output is correct |
56 |
Correct |
251 ms |
3872 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
344 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
344 KB |
Output is correct |
5 |
Correct |
1 ms |
344 KB |
Output is correct |
6 |
Correct |
1 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 |
17 ms |
2720 KB |
Output is correct |
10 |
Correct |
5 ms |
1060 KB |
Output is correct |
11 |
Correct |
11 ms |
1880 KB |
Output is correct |
12 |
Correct |
12 ms |
1880 KB |
Output is correct |
13 |
Correct |
15 ms |
2596 KB |
Output is correct |
14 |
Correct |
10 ms |
1624 KB |
Output is correct |
15 |
Correct |
3 ms |
600 KB |
Output is correct |
16 |
Correct |
10 ms |
1624 KB |
Output is correct |
17 |
Correct |
26 ms |
4184 KB |
Output is correct |
18 |
Correct |
14 ms |
2392 KB |
Output is correct |
19 |
Correct |
0 ms |
344 KB |
Output is correct |
20 |
Correct |
0 ms |
344 KB |
Output is correct |
21 |
Correct |
1 ms |
344 KB |
Output is correct |
22 |
Correct |
1 ms |
348 KB |
Output is correct |
23 |
Correct |
1 ms |
344 KB |
Output is correct |
24 |
Correct |
0 ms |
348 KB |
Output is correct |
25 |
Correct |
0 ms |
348 KB |
Output is correct |
26 |
Correct |
1 ms |
344 KB |
Output is correct |
27 |
Correct |
0 ms |
344 KB |
Output is correct |
28 |
Correct |
1 ms |
344 KB |
Output is correct |
29 |
Correct |
0 ms |
348 KB |
Output is correct |
30 |
Correct |
1 ms |
344 KB |
Output is correct |
31 |
Correct |
1 ms |
344 KB |
Output is correct |
32 |
Correct |
1 ms |
344 KB |
Output is correct |
33 |
Correct |
1 ms |
348 KB |
Output is correct |
34 |
Correct |
7 ms |
1112 KB |
Output is correct |
35 |
Correct |
18 ms |
3160 KB |
Output is correct |
36 |
Correct |
25 ms |
3416 KB |
Output is correct |
37 |
Correct |
63 ms |
3164 KB |
Output is correct |
38 |
Correct |
70 ms |
3416 KB |
Output is correct |
39 |
Correct |
18 ms |
2896 KB |
Output is correct |
40 |
Correct |
1 ms |
348 KB |
Output is correct |
41 |
Correct |
15 ms |
1624 KB |
Output is correct |
42 |
Correct |
23 ms |
3160 KB |
Output is correct |
43 |
Correct |
3 ms |
600 KB |
Output is correct |
44 |
Correct |
16 ms |
2260 KB |
Output is correct |
45 |
Correct |
21 ms |
2392 KB |
Output is correct |
46 |
Correct |
25 ms |
3360 KB |
Output is correct |
47 |
Correct |
8 ms |
1528 KB |
Output is correct |
48 |
Correct |
1 ms |
344 KB |
Output is correct |
49 |
Correct |
60 ms |
3724 KB |
Output is correct |
50 |
Correct |
29 ms |
4184 KB |
Output is correct |
51 |
Correct |
41 ms |
3676 KB |
Output is correct |
52 |
Correct |
28 ms |
3920 KB |
Output is correct |
53 |
Correct |
28 ms |
4176 KB |
Output is correct |
54 |
Correct |
67 ms |
4124 KB |
Output is correct |
55 |
Correct |
23 ms |
3676 KB |
Output is correct |
56 |
Correct |
35 ms |
3856 KB |
Output is correct |
57 |
Correct |
26 ms |
3660 KB |
Output is correct |
58 |
Correct |
263 ms |
3920 KB |
Output is correct |
59 |
Correct |
281 ms |
4288 KB |
Output is correct |
60 |
Correct |
262 ms |
4004 KB |
Output is correct |
61 |
Correct |
279 ms |
4248 KB |
Output is correct |
62 |
Correct |
258 ms |
3920 KB |
Output is correct |
63 |
Correct |
290 ms |
4404 KB |
Output is correct |
64 |
Correct |
251 ms |
3872 KB |
Output is correct |
65 |
Correct |
1 ms |
348 KB |
Output is correct |
66 |
Correct |
0 ms |
348 KB |
Output is correct |
67 |
Runtime error |
23 ms |
5712 KB |
Execution killed with signal 6 |
68 |
Halted |
0 ms |
0 KB |
- |