#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#define all(x) x.begin(),x.end()
#define sz(x) ((int)x.size())
#define s2 array<short,2>
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 PW = 233;
const int md = 999999937;
//const int md = 998244353;
//const int md = 988244353;
//const int md = int(1e9) + 9;
//const int md = int(1e9) + 7;
gp_hash_table<int, int> mem;
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 * N], lcm, pre[8][N][N], inv;
s2 nt[8][N][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;
lcm = n * m / __gcd(n, m);
for (int i = 0; i < n; i++)
for (int j = 0; j < m; j++){
char c; cin >> c;
a[i][j] = c - 'a' + 1;
}
po[0] = 1;
for (int i = 1; i <= lcm; i++)
po[i] = mult(po[i - 1], x);
big_x = binpow(po[lcm], k / lcm);
inv = binpow(sub(po[lcm], 1), md - 2);
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 += m;
if (x >= n) x -= n;
if (y >= m) y -= m;
}
pre[it][i][j] = hsh[n];
nt[it][i][j] = {x, y};
}
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;
int ost = k % lcm, mul = 1, hs = 0, ost_hsh = 0;
for (int lst = lcm / n; lst > 0; lst--){
int cur = mult(mul, pre[it][x][y]);
hs = sum(hs, cur);
mul = mult(mul, po[n]);
if (ost > 0){
if (ost < n){
int xx = x, yy = y, mlu = mul;
while (ost > 0){
ost_hsh = sum(ost_hsh, mult(mlu, a[xx][yy]));
mlu = mult(mlu, PW);
xx += stp[it][0];
yy += stp[it][1];
if (xx < 0) xx += n;
if (yy < 0) yy += m;
if (xx >= n) xx -= n;
if (yy >= m) yy -= m;
ost--;
}
} else {
ost -= n;
ost_hsh = sum(ost_hsh, cur);
}
}
s2 nw = nt[it][x][y];
x = nw[0];
y = nw[1];
}
int cnt = k / lcm, rhsh = 0;
if (cnt > 0){
rhsh = mult(hs, sub(big_x, 1));
rhsh = mult(rhsh, inv);
}
rhsh = sum(rhsh, mult(big_x, ost_hsh));
mem[rhsh]++;
}
ll res = 0;
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;
}
Compilation message
osmosmjerka.cpp: In function 'int main()':
osmosmjerka.cpp:96:29: warning: narrowing conversion of 'x' from 'int' to 'short int' inside { } [-Wnarrowing]
nt[it][i][j] = {x, y};
^
osmosmjerka.cpp:96:29: warning: narrowing conversion of 'y' from 'int' to 'short int' inside { } [-Wnarrowing]
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
512 KB |
Output is correct |
2 |
Correct |
5 ms |
640 KB |
Output is correct |
3 |
Correct |
5 ms |
768 KB |
Output is correct |
4 |
Correct |
5 ms |
1152 KB |
Output is correct |
5 |
Correct |
10 ms |
2048 KB |
Output is correct |
6 |
Correct |
138 ms |
6380 KB |
Output is correct |
7 |
Correct |
1727 ms |
26248 KB |
Output is correct |
8 |
Execution timed out |
4082 ms |
12372 KB |
Time limit exceeded |