#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#define all(x) x.begin(),x.end()
#define sz(x) ((int)x.size())
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
const int N = 510;
const int M = 100100;
const int x = 233;
//const int md = 998244353;
const int md = int(1e9) + 7;
gp_hash_table<int, int> mem;
ll res;
int n, m, stp[8][2] = {{0, 1}, {0, -1}, {1, 0}, {-1, 0}, {-1, -1}, {-1, 1}, {1, -1}, {1, 1}};
int hsh[N], xn, a[N][N], big_x, k, po[N];
int mult(int x, int y) { return (1ll * x * y) % md; }
int sum(int x, int y){
x += y;
if (x >= md)
x -= md;
return x;
}
int sub(int x, int y){
x -= y;
if (x < 0)
x += md;
return x;
}
int binpow(int x, int po){
int res = 1;
while (po > 0){
if (x & 1)
res = mult(res, x);
x = mult(x, x);
po >>= 1;
}
return res;
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0);
#ifdef _LOCAL
freopen("in.txt","r",stdin);
#endif // _LOCAL
cin >> n >> m >> k;
for (int i = 0; i < n; i++)
for (int j = 0; j < m; j++){
char c; cin >> c;
a[i][j] = c - 'a' + 1;
}
assert(n == m);
po[0] = 1;
for (int i = 1; i <= n; i++)
po[i] = mult(po[i - 1], x);
big_x = binpow(po[n], k / n);
for (int i = 0; i < n; i++)
for (int j = 0; j < m; j++)
for (int it = 0; it < 8; it++){
int x = i, y = j;
hsh[0] = 0;
for (int len = 1; len <= n; len++) {
hsh[len] = sum(hsh[len - 1], mult(po[len - 1], a[x][y]));
x += stp[it][0];
y += stp[it][1];
if (x < 0) x += n;
if (y < 0) y += n;
if (x >= n) x -= n;
if (y >= n) y -= n;
}
int cnt = k / n, rhsh = 0;
if (cnt > 0){
rhsh = mult(hsh[n], sub(big_x, 1));
rhsh = mult(rhsh, binpow(sub(po[n], 1), md - 2));
}
int ost = k % n;
if (ost > 0)
rhsh = sum(rhsh, mult(big_x, hsh[ost]));
mem[rhsh]++;
}
for (auto cr : mem){
ll nw = cr.second;
nw *= nw;
res += nw;
}
ll full = ll(n) * ll(m) * ll(n) * ll(m) * ll(8) * ll(8);
ll gc = __gcd(full, res);
cout << res / gc << "/" << full / gc;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
5 ms |
512 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
2 |
Correct |
5 ms |
384 KB |
Output is correct |
3 |
Correct |
5 ms |
384 KB |
Output is correct |
4 |
Correct |
6 ms |
512 KB |
Output is correct |
5 |
Correct |
11 ms |
640 KB |
Output is correct |
6 |
Runtime error |
6 ms |
1024 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
7 |
Runtime error |
7 ms |
1280 KB |
Execution killed with signal 11 (could be triggered by violating memory limits) |
8 |
Execution timed out |
4090 ms |
19992 KB |
Time limit exceeded |