#include<bits/stdc++.h>
using namespace std;
#define int long long
#define pii pair<int, int>
const int MOD = 998244353LL;
const int MAX_N = 40LL;
int nbP[MAX_N][MAX_N];
int RES = 0;
vector<pii> cube_edges = {
{0, 1},
{1, 2},
{2, 3},
{3, 0},
{4, 5},
{5, 6},
{6, 7},
{7, 4},
{0, 4},
{1, 5},
{2, 6},
{3, 7},
};
bool is_palindrome(string s){
bool ok = true;
for(int i = 0; i<(s.size()+1)/2; i++){
ok &= (s[i] == s[s.size()-i-1]);
}
return ok;
}
int mexp(int a, int b){
int res = 1;
vector<int>pows(1, a);
for(int i= 1; i<35; i++){
pows.push_back((pows.back()*pows.back())%MOD);
}
for(int i = 0; i<35; i++){
if(0LL!=((1LL<<i)&b)){
res = (res * pows[i])%MOD;
}
}
return res;
}
unordered_map<int, int> inv;
int modinv(int a){
if(inv.find(a)!=inv.end()){
return inv[a];
}
int b= mexp(a, MOD-2);
inv[a] = b;
assert((a*b)%MOD == 1);
return b;
}
vector<pair<int, vector<int>>> iterate_all(int nbSteps, int maxC){
vector<int> cur = vector<int>(nbSteps, 0);
vector<pair<int, vector<int>>> res;
bool ok = true;
for(int first_v = 0; first_v <maxC; first_v++){
cur =vector<int>(nbSteps, 0);
cur[0] = first_v;
ok =true;
while(ok){
cur.back()++;
for(int i = nbSteps-1; i>1; i--){
if(cur[i]>first_v){
cur[i-1]++;
cur[i] = 0;
}
}
if(cur[1] >first_v){
ok = false;
cur[1] = 0;
}
int nb_same = 0;
for(auto e: cur){
if(e == first_v){
nb_same++;
}
}
res.push_back({nbSteps * modinv(nb_same), cur});
}
}
return res;
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int N;
cin>>N;
vector<set<string>> words(11);
for(int i = 0; i<N; i++){
string s;
cin>>s;
if(is_palindrome(s)){
words[s.size()].insert(s);
}
else{
words[s.size()].insert(s);
reverse(s.begin(), s.end());
words[s.size()].insert(s);
}
}
vector<pair<int, vector<int>>> colorings= iterate_all(8, 6);
for(int len = 3; len<=10; len++){
fill(&nbP[0][0], &nbP[MAX_N][0], 0);
for(auto e: words[len]){
int a= e[0]-'a';
int b= e.back()-'a';
nbP[a][b]++;
}
for(auto list: colorings){
int nb_cur = 1;
for(auto edge: cube_edges){
nb_cur = (nb_cur * nbP[list.second[edge.first]][list.second[edge.second]])%MOD;
}
nb_cur = (nb_cur * list.first)%MOD;
RES = (RES + nb_cur)%MOD;
}
}
cout<<RES<<endl;
}
Compilation message
cubeword.cpp: In function 'bool is_palindrome(std::string)':
cubeword.cpp:30:21: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::__cxx11::basic_string<char>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
30 | for(int i = 0; i<(s.size()+1)/2; i++){
| ~^~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
269 ms |
57680 KB |
Output is correct |
2 |
Correct |
265 ms |
58552 KB |
Output is correct |
3 |
Correct |
261 ms |
57864 KB |
Output is correct |
4 |
Correct |
275 ms |
57260 KB |
Output is correct |
5 |
Correct |
260 ms |
58548 KB |
Output is correct |
6 |
Correct |
285 ms |
58292 KB |
Output is correct |
7 |
Correct |
260 ms |
57780 KB |
Output is correct |
8 |
Correct |
254 ms |
58800 KB |
Output is correct |
9 |
Correct |
269 ms |
57512 KB |
Output is correct |
10 |
Correct |
266 ms |
58912 KB |
Output is correct |
11 |
Correct |
262 ms |
56976 KB |
Output is correct |
12 |
Correct |
261 ms |
57512 KB |
Output is correct |
13 |
Correct |
260 ms |
58044 KB |
Output is correct |
14 |
Correct |
271 ms |
58044 KB |
Output is correct |
15 |
Correct |
284 ms |
58696 KB |
Output is correct |
16 |
Correct |
285 ms |
57780 KB |
Output is correct |
17 |
Correct |
263 ms |
58792 KB |
Output is correct |
18 |
Correct |
256 ms |
57772 KB |
Output is correct |
19 |
Correct |
263 ms |
58040 KB |
Output is correct |
20 |
Correct |
272 ms |
58924 KB |
Output is correct |
21 |
Correct |
262 ms |
58804 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
269 ms |
57680 KB |
Output is correct |
2 |
Correct |
265 ms |
58552 KB |
Output is correct |
3 |
Correct |
261 ms |
57864 KB |
Output is correct |
4 |
Correct |
275 ms |
57260 KB |
Output is correct |
5 |
Correct |
260 ms |
58548 KB |
Output is correct |
6 |
Correct |
285 ms |
58292 KB |
Output is correct |
7 |
Correct |
260 ms |
57780 KB |
Output is correct |
8 |
Correct |
254 ms |
58800 KB |
Output is correct |
9 |
Correct |
269 ms |
57512 KB |
Output is correct |
10 |
Correct |
266 ms |
58912 KB |
Output is correct |
11 |
Correct |
262 ms |
56976 KB |
Output is correct |
12 |
Correct |
261 ms |
57512 KB |
Output is correct |
13 |
Correct |
260 ms |
58044 KB |
Output is correct |
14 |
Correct |
271 ms |
58044 KB |
Output is correct |
15 |
Correct |
284 ms |
58696 KB |
Output is correct |
16 |
Correct |
285 ms |
57780 KB |
Output is correct |
17 |
Correct |
263 ms |
58792 KB |
Output is correct |
18 |
Correct |
256 ms |
57772 KB |
Output is correct |
19 |
Correct |
263 ms |
58040 KB |
Output is correct |
20 |
Correct |
272 ms |
58924 KB |
Output is correct |
21 |
Correct |
262 ms |
58804 KB |
Output is correct |
22 |
Incorrect |
263 ms |
58552 KB |
Output isn't correct |
23 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
269 ms |
57680 KB |
Output is correct |
2 |
Correct |
265 ms |
58552 KB |
Output is correct |
3 |
Correct |
261 ms |
57864 KB |
Output is correct |
4 |
Correct |
275 ms |
57260 KB |
Output is correct |
5 |
Correct |
260 ms |
58548 KB |
Output is correct |
6 |
Correct |
285 ms |
58292 KB |
Output is correct |
7 |
Correct |
260 ms |
57780 KB |
Output is correct |
8 |
Correct |
254 ms |
58800 KB |
Output is correct |
9 |
Correct |
269 ms |
57512 KB |
Output is correct |
10 |
Correct |
266 ms |
58912 KB |
Output is correct |
11 |
Correct |
262 ms |
56976 KB |
Output is correct |
12 |
Correct |
261 ms |
57512 KB |
Output is correct |
13 |
Correct |
260 ms |
58044 KB |
Output is correct |
14 |
Correct |
271 ms |
58044 KB |
Output is correct |
15 |
Correct |
284 ms |
58696 KB |
Output is correct |
16 |
Correct |
285 ms |
57780 KB |
Output is correct |
17 |
Correct |
263 ms |
58792 KB |
Output is correct |
18 |
Correct |
256 ms |
57772 KB |
Output is correct |
19 |
Correct |
263 ms |
58040 KB |
Output is correct |
20 |
Correct |
272 ms |
58924 KB |
Output is correct |
21 |
Correct |
262 ms |
58804 KB |
Output is correct |
22 |
Incorrect |
263 ms |
58552 KB |
Output isn't correct |
23 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
269 ms |
57680 KB |
Output is correct |
2 |
Correct |
265 ms |
58552 KB |
Output is correct |
3 |
Correct |
261 ms |
57864 KB |
Output is correct |
4 |
Correct |
275 ms |
57260 KB |
Output is correct |
5 |
Correct |
260 ms |
58548 KB |
Output is correct |
6 |
Correct |
285 ms |
58292 KB |
Output is correct |
7 |
Correct |
260 ms |
57780 KB |
Output is correct |
8 |
Correct |
254 ms |
58800 KB |
Output is correct |
9 |
Correct |
269 ms |
57512 KB |
Output is correct |
10 |
Correct |
266 ms |
58912 KB |
Output is correct |
11 |
Correct |
262 ms |
56976 KB |
Output is correct |
12 |
Correct |
261 ms |
57512 KB |
Output is correct |
13 |
Correct |
260 ms |
58044 KB |
Output is correct |
14 |
Correct |
271 ms |
58044 KB |
Output is correct |
15 |
Correct |
284 ms |
58696 KB |
Output is correct |
16 |
Correct |
285 ms |
57780 KB |
Output is correct |
17 |
Correct |
263 ms |
58792 KB |
Output is correct |
18 |
Correct |
256 ms |
57772 KB |
Output is correct |
19 |
Correct |
263 ms |
58040 KB |
Output is correct |
20 |
Correct |
272 ms |
58924 KB |
Output is correct |
21 |
Correct |
262 ms |
58804 KB |
Output is correct |
22 |
Incorrect |
263 ms |
58552 KB |
Output isn't correct |
23 |
Halted |
0 ms |
0 KB |
- |