#include <bits/stdc++.h>
#define s second
#define f first
using namespace std;
typedef long long ll;
typedef __int128_t lll;
struct StringHash {
ll MOD = (1ll << 61) - 1;
int P = 31;
vector<ll> hash;
vector<ll> pow;
void init(string& st) {
hash.resize(st.size() + 1);
pow.resize(st.size() + 1);
hash[0] = 0;
pow[0] = 1;
for (int i = 0; i < st.size(); i++) {
hash[i + 1] = ((lll)hash[i] * P + st[i] - 'a' + 1) % MOD;
pow[i + 1] = (lll)pow[i] * P % MOD;
}
}
ll get(int l, int len) {
int r = l + len - 1;
lll res = hash[r + 1] - (lll)hash[l] * pow[len] % MOD;
return ((res % MOD) + MOD) % MOD;
}
};
const int DIRS = 8;
const int d_i[8] = {1, 0, -1, 0, 1, 1, -1, -1};
const int d_j[8] = {0, 1, 0, -1, 1, -1, 1, -1};
int n, m, k;
vector<string> words;
int len;
vector<vector<bool>> visited;
vector<ll> all;
void generate_string(int or_i, int or_j, int d_i, int d_j)
{
string st;
int cur = 0;
int i = or_i;
int j = or_j;
// Create the string
while (cur == 0 || (i != or_i) || (j != or_j)) {
st.push_back(words[i][j]);
cur++;
i += d_i;
j += d_j;
i = (i + m) % m;
j = (j + n) % n;
}
while (st.size() < cur + len)
st = st + st;
// Hash the string and calculate it
StringHash cur_hash;
cur_hash.init(st);
i = or_i;
j = or_j;
cur = 0;
while (!visited[i][j]) {
all.push_back(cur_hash.get(cur, len));
visited[i][j] = true;
cur++;
i = i + d_i;
j = j + d_j;
i = (i + m) % m;
j = (j + n) % n;
}
}
int main(void)
{
ios::sync_with_stdio(false);
cin >> m >> n >> k;
len = min(n * m, k);
words.resize(m);
for (int i = 0; i < m; i++)
cin >> words[i];
for (int x = 0; x < DIRS; x++) {
visited.assign(m, vector<bool>(n, false));
for (int i = 0; i < m; i++) {
for (int j = 0; j < n; j++) {
if (!visited[i][j])
generate_string(i, j, d_i[x], d_j[x]);
}
}
}
ll total_combo = (8 * n * m) * (ll)(8 * n * m);
ll total_same = 0;
sort(all.begin(), all.end());
ll cur_num = -1;
int cur_same = 0;
for (int i = 0; i < all.size(); i++) {
if (all[i] == cur_num)
cur_same++;
else {
total_same += (ll)cur_same * cur_same;
cur_num = all[i];
cur_same = 1;
}
}
total_same += (ll)cur_same * cur_same;
ll d = __gcd(total_combo, total_same);
total_combo /= d;
total_same /= d;
cout << total_same << '/' << total_combo << endl;
return 0;
}
Compilation message
osmosmjerka.cpp: In member function 'void StringHash::init(std::string&)':
osmosmjerka.cpp:24:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
24 | for (int i = 0; i < st.size(); i++) {
| ~~^~~~~~~~~~~
osmosmjerka.cpp: In function 'void generate_string(int, int, int, int)':
osmosmjerka.cpp:68:22: warning: comparison of integer expressions of different signedness: 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
68 | while (st.size() < cur + len)
| ~~~~~~~~~~^~~~~~~~~~~
osmosmjerka.cpp: In function 'int main()':
osmosmjerka.cpp:122:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
122 | for (int i = 0; i < all.size(); i++) {
| ~~^~~~~~~~~~~~
# |
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 |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
2 ms |
340 KB |
Output is correct |
5 |
Correct |
10 ms |
552 KB |
Output is correct |
6 |
Correct |
53 ms |
1136 KB |
Output is correct |
7 |
Correct |
1010 ms |
6872 KB |
Output is correct |
8 |
Execution timed out |
4062 ms |
13432 KB |
Time limit exceeded |