This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//#pragma GCC optimze("O3,unroll-loops")
//#pragma GCC target("avx,avx2,bmi,bmi2")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
constexpr ll mod = 998244353;
ll tmp[62][62][62];
inline ll solve(vector<string> words){
map<pair<char,char>,set<string>> mp;
set<char> st;
for(auto& word : words){
st.insert(word[0]);
st.insert(word.back());
mp[{word[0],word.back()}].insert(word);
reverse(word.begin(),word.end());
mp[{word[0],word.back()}].insert(word);
reverse(word.begin(),word.end());
}
vector<int> links(128,-1);
int n = st.size();
vector<vector<ll>> indeg(n,vector<ll>(n,0));
{
int i = 0;
for(auto& c : st){
links[c] = i++;
}
}
for(auto& [k,v] : mp){
if(v.size() > 0){
indeg[links[k.first]][links[k.second]]+=v.size();
}
}
for(int k = 0; k < n; k++){
for(int i = 0; i < n; i++){
for(int j = 0; j < n; j++){
tmp[i][j][k] = 0;
for(int l = 0; l < n; l++){
ll ans1 = (ll)indeg[k][l] * indeg[i][l];
ans1%=mod;
ans1*=indeg[j][l];
ans1%=mod;
tmp[i][j][k] = (tmp[i][j][k] + ans1) % mod;
}
}
}
}
ll ans = 0;
for(int i = 0; i < n; i++){ // top
for(int j = 0; j < n; j++){ // top
for(int k = 0; k < n; k++){ // bot
for (int l = 0; l < n; ++l) { // bot
ll ans_tmp = tmp[i][j][k]*tmp[i][j][l];
ans_tmp%=mod;
ans_tmp*=tmp[i][k][l];
ans_tmp%=mod;
ans_tmp*=tmp[j][k][l];
ans_tmp%=mod;
ans = (ans + ans_tmp) % mod;
}
}
}
}
return ans;
}
inline void solve(){
int n;
cin >> n;
vector<vector<string>> words(11,vector<string>());
for(int i = 0; i < n; i++){
string s;
cin >> s;
words[s.size()].push_back(s);
}
ll ans = 0;
for(int i = 1; i <= 10; i++){
if(words[i].empty()) continue;
ans = (ans + solve(words[i])) % mod;
}
cout << ans << "\n";
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
int t = 1;
//cin >> t;
while(t--)
solve();
}
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