#include <bits/stdc++.h>
using namespace std;
using ll = int64_t;
using ull = uint64_t;
using uint = uint32_t;
using ld = long double;
const int MOD = 1e9 + 7;
const int INF = 0x3f3f3f3f;
const ll LINF = 2e18;
const double EPS = 1e-9;
#define EMT ios::sync_with_stdio(0); cin.tie(0);
bool prime_test(int n) {
for(int i = 2; i < n; i++)
if(n % i == 0)
return false;
return true;
}
void solve(int n) {
int k;
cin >> k;
vector<vector<int>> sum(n + 1, vector<int>(n + 1));
for(int i = 0, a, b, c, d; i < k; i++) {
cin >> a >> b >> c >> d;
sum[a][b]++;
}
for(int i = 1; i <= n; i++)
for(int j = 1, g = 0; j <= n; j++)
g += sum[i][j], sum[i][j] = sum[i - 1][j] + g;
//for(int i = 1; i <= n; i++)
//for(int j = 1; j <= n; j++)
//cout << sum[i][j] << " \n"[j == n];
int ans = INF;
for(int i = 1; i < n; i++) {
if(n % i)
continue;
int res = 0, w = n / i;
for(int j = 1; j <= w; j ++) {
for(int k = 1; k <= w; k++) {
if((j + k) & 1) {
res += sum[j * i][k * i] - sum[j * i - i][k * i] - sum[j * i][k * i - i] + sum[j * i - i][k * i - i];
}
else {
res += i * i - (sum[j * i][k * i] - sum[j * i - i][k * i] - sum[j * i][k * i - i] + sum[j * i - i][k * i - i]);
}
}
}
//cout << i << ' ' << res << ' ' << n * n - res << '\n';
ans = min({ans, res, n * n - res});
}
cout << ans << '\n';
}
void solve_2(int n) {
int cnt[2] = {0}, k;
cin >> k;
for(int i = 0, a, b, c, d; i < k; i++) {
cin >> a >> b >> c >> d;
cnt[(a + b) % 2]++;
}
ll a = 1LL * n * n / 2, b = 1LL * n * n - a;
cout << min(cnt[1] + b - cnt[0], cnt[0] + a - cnt[1]) << '\n';
}
signed main() { EMT
int n;
cin >> n;
if(prime_test(n))
solve_2(n);
else
solve(n);
}
/*
6 8
3 3 3 3
1 2 1 2
3 4 3 4
5 5 5 5
4 3 4 3
4 4 4 4
2 1 2 1
3 6 3 6
*/
# |
결과 |
실행 시간 |
메모리 |
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 |
0 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 |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
364 KB |
Output is correct |
2 |
Correct |
6 ms |
364 KB |
Output is correct |
3 |
Correct |
14 ms |
364 KB |
Output is correct |
4 |
Correct |
16 ms |
364 KB |
Output is correct |
5 |
Correct |
20 ms |
364 KB |
Output is correct |
6 |
Correct |
13 ms |
364 KB |
Output is correct |
7 |
Correct |
3 ms |
364 KB |
Output is correct |
8 |
Correct |
13 ms |
364 KB |
Output is correct |
9 |
Correct |
32 ms |
364 KB |
Output is correct |
10 |
Correct |
18 ms |
364 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
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 |
384 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 |
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 |
384 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
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 |
384 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 |
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 |
384 KB |
Output is correct |
16 |
Correct |
14 ms |
3948 KB |
Output is correct |
17 |
Correct |
25 ms |
364 KB |
Output is correct |
18 |
Correct |
42 ms |
4332 KB |
Output is correct |
19 |
Correct |
36 ms |
3948 KB |
Output is correct |
20 |
Correct |
41 ms |
3948 KB |
Output is correct |
21 |
Correct |
24 ms |
364 KB |
Output is correct |
22 |
Correct |
6 ms |
4332 KB |
Output is correct |
23 |
Correct |
20 ms |
4076 KB |
Output is correct |
24 |
Correct |
36 ms |
4204 KB |
Output is correct |
25 |
Correct |
10 ms |
4076 KB |
Output is correct |
26 |
Correct |
24 ms |
3948 KB |
Output is correct |
27 |
Correct |
30 ms |
3948 KB |
Output is correct |
28 |
Correct |
39 ms |
3948 KB |
Output is correct |
29 |
Correct |
10 ms |
364 KB |
Output is correct |
30 |
Correct |
8 ms |
4332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
23 ms |
364 KB |
Output is correct |
2 |
Correct |
6 ms |
364 KB |
Output is correct |
3 |
Correct |
14 ms |
364 KB |
Output is correct |
4 |
Correct |
16 ms |
364 KB |
Output is correct |
5 |
Correct |
20 ms |
364 KB |
Output is correct |
6 |
Correct |
13 ms |
364 KB |
Output is correct |
7 |
Correct |
3 ms |
364 KB |
Output is correct |
8 |
Correct |
13 ms |
364 KB |
Output is correct |
9 |
Correct |
32 ms |
364 KB |
Output is correct |
10 |
Correct |
18 ms |
364 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 |
384 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 |
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 |
384 KB |
Output is correct |
26 |
Correct |
14 ms |
3948 KB |
Output is correct |
27 |
Correct |
25 ms |
364 KB |
Output is correct |
28 |
Correct |
42 ms |
4332 KB |
Output is correct |
29 |
Correct |
36 ms |
3948 KB |
Output is correct |
30 |
Correct |
41 ms |
3948 KB |
Output is correct |
31 |
Correct |
24 ms |
364 KB |
Output is correct |
32 |
Correct |
6 ms |
4332 KB |
Output is correct |
33 |
Correct |
20 ms |
4076 KB |
Output is correct |
34 |
Correct |
36 ms |
4204 KB |
Output is correct |
35 |
Correct |
10 ms |
4076 KB |
Output is correct |
36 |
Correct |
24 ms |
3948 KB |
Output is correct |
37 |
Correct |
30 ms |
3948 KB |
Output is correct |
38 |
Correct |
39 ms |
3948 KB |
Output is correct |
39 |
Correct |
10 ms |
364 KB |
Output is correct |
40 |
Correct |
8 ms |
4332 KB |
Output is correct |
41 |
Runtime error |
133 ms |
262148 KB |
Execution killed with signal 9 |
42 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
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 |
0 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 |
23 ms |
364 KB |
Output is correct |
10 |
Correct |
6 ms |
364 KB |
Output is correct |
11 |
Correct |
14 ms |
364 KB |
Output is correct |
12 |
Correct |
16 ms |
364 KB |
Output is correct |
13 |
Correct |
20 ms |
364 KB |
Output is correct |
14 |
Correct |
13 ms |
364 KB |
Output is correct |
15 |
Correct |
3 ms |
364 KB |
Output is correct |
16 |
Correct |
13 ms |
364 KB |
Output is correct |
17 |
Correct |
32 ms |
364 KB |
Output is correct |
18 |
Correct |
18 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 |
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 |
384 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 |
364 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 |
384 KB |
Output is correct |
34 |
Correct |
14 ms |
3948 KB |
Output is correct |
35 |
Correct |
25 ms |
364 KB |
Output is correct |
36 |
Correct |
42 ms |
4332 KB |
Output is correct |
37 |
Correct |
36 ms |
3948 KB |
Output is correct |
38 |
Correct |
41 ms |
3948 KB |
Output is correct |
39 |
Correct |
24 ms |
364 KB |
Output is correct |
40 |
Correct |
6 ms |
4332 KB |
Output is correct |
41 |
Correct |
20 ms |
4076 KB |
Output is correct |
42 |
Correct |
36 ms |
4204 KB |
Output is correct |
43 |
Correct |
10 ms |
4076 KB |
Output is correct |
44 |
Correct |
24 ms |
3948 KB |
Output is correct |
45 |
Correct |
30 ms |
3948 KB |
Output is correct |
46 |
Correct |
39 ms |
3948 KB |
Output is correct |
47 |
Correct |
10 ms |
364 KB |
Output is correct |
48 |
Correct |
8 ms |
4332 KB |
Output is correct |
49 |
Runtime error |
133 ms |
262148 KB |
Execution killed with signal 9 |
50 |
Halted |
0 ms |
0 KB |
- |