#include <bits/stdc++.h>
using namespace std;
#define MOD ((1ULL << 61) - 1)
#define BASE 1000000009
vector<__uint128_t> p;
map<uint64_t, size_t> c;
void check_str(string const &s, size_t k, size_t n)
{
vector<vector<uint64_t>> t(32, vector<uint64_t>(s.size()));
for (size_t i = 0; i < s.size(); i++)
t[0][i] = s[i];
__uint128_t m = BASE;
for (size_t i = 1; i < 32; i++)
{
for (size_t j = 0; j < s.size(); j++)
t[i][j] = (t[i - 1][j] * m + t[i - 1][(j + (1 << (i - 1))) % s.size()]) % MOD;
m = (m * m) % MOD;
}
for (size_t i = 0; i < n; i++)
{
__uint128_t m = BASE, h = 0;
size_t j = i;
for (size_t z = 0; z < 32; z++)
{
if (k & (1 << z))
{
h = (h * m + t[z][j]) % MOD;
j = (j + (1 << z)) % s.size();
}
m = (m * m) % MOD;
}
c[h]++;
}
}
uint64_t lcm(uint64_t a, uint64_t b)
{
return (a / __gcd(a, b)) * b;
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
size_t n, m, k;
cin >> n >> m >> k;
vector<string> y(n);
for (string &s : y)
cin >> s;
p = vector<__uint128_t>(n + m);
p[0] = 1;
for (size_t i = 1; i < p.size(); i++)
p[i] = (p[i - 1] * BASE) % MOD;
for (size_t i = 0; i < n; i++)
{
check_str(y[i], k, m);
reverse(y[i].begin(), y[i].end());
check_str(y[i], k, m);
reverse(y[i].begin(), y[i].end());
}
for (size_t j = 0; j < m; j++)
{
string s;
for (size_t i = 0; i < n; i++)
s.push_back(y[i][j]);
check_str(s, k, n);
reverse(s.begin(), s.end());
check_str(s, k, n);
}
uint64_t l = lcm(n, m);
for (size_t i = 0; i < n; i++)
{
string s;
for (size_t j = 0; j < l; j++)
s.push_back(y[(i + j) % n][j % m]);
check_str(s, k, m);
reverse(s.begin(), s.end());
check_str(s, k, m);
}
for (size_t i = 0; i < n; i++)
{
string s;
for (size_t j = 0; j < l; j++)
s.push_back(y[(i - j + n * m) % n][j % m]);
check_str(s, k, m);
reverse(s.begin(), s.end());
check_str(s, k, m);
}
uint64_t total = 0, all_pos = n * m * 8 * n * m * 8;
for (auto const [h, x] : c)
total += x * x;
cout << total / __gcd(total, all_pos) << '/' << all_pos / __gcd(total, all_pos) << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
2 ms |
340 KB |
Output is correct |
4 |
Correct |
5 ms |
340 KB |
Output is correct |
5 |
Correct |
17 ms |
452 KB |
Output is correct |
6 |
Correct |
2233 ms |
5356 KB |
Output is correct |
7 |
Execution timed out |
4056 ms |
21640 KB |
Time limit exceeded |
8 |
Correct |
3275 ms |
33732 KB |
Output is correct |