This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#define pb push_back
#define ii pair<int,int>
#define all(x) (x).begin(),(x).end()
#define sz(x) ((int)(x).size())
#define INF 100000000000000000
#define modulo 1000000007
#define mod 998244353
#define int long long int
using namespace std;
const int k = 16;
int dp[k][k][k][k];
int dp2[k][k][k][k];
int cnt[k][k];
map<char, int> ptr;
void clear(){
for(int a = 0; a < k; a++){
for(int b = 0; b < k; b++){
for(int c = 0; c < k; c++){
for(int d = 0; d < k; d++){
dp[a][b][c][d] = 0;
dp2[a][b][c][d] = 0;
}
}
}
}
}
int solve(vector<vector<int>>& cnt){
clear();
/*for(auto p : cnt){
cout << p.first.first << "-" << p.first.second << "=>" << p.second << "\n";
}*/
for(int a = 0; a < k; a++){
for(int b = 0; b < k; b++){
for(int c = 0; c < k; c++){
for(int d = 0; d < k; d++){
dp[a][b][c][d] = cnt[a][b] * cnt[b][d] % mod * cnt[d][c] % mod * cnt[c][a] % mod;
}
}
}
}
for(int a = 0; a < k; a++){
for(int b = 0; b < k; b++){
for(int c = 0; c < k; c++){
for(int d = 0; d < k; d++){
for(int f = 0; f < k; f++){
dp2[a][f][c][d] += dp[a][b][c][d] * cnt[b][f] % mod;
dp2[a][f][c][d] %= mod;
}
}
}
}
}
for(int a = 0; a < k; a++){
for(int b = 0; b < k; b++){
for(int c = 0; c < k; c++){
for(int d = 0; d < k; d++){
dp[a][b][c][d] = 0;
}
}
}
}
for(int a = 0; a < k; a++){
for(int f = 0; f < k; f++){
for(int c = 0; c < k; c++){
for(int d = 0; d < k; d++){
for(int h = 0; h < k; h++){
dp[a][f][c][h] += dp2[a][f][c][d] * cnt[d][h] % mod * cnt[f][h] % mod;
dp[a][f][c][h] %= mod;
}
}
}
}
}
for(int a = 0; a < k; a++){
for(int b = 0; b < k; b++){
for(int c = 0; c < k; c++){
for(int d = 0; d < k; d++){
dp2[a][b][c][d] = 0;
}
}
}
}
for(int a = 0; a < k; a++){
for(int f = 0; f < k; f++){
for(int c = 0; c < k; c++){
for(int h = 0; h < k; h++){
for(int g = 0; g < k; g++){
dp2[a][f][g][h] += dp[a][f][c][h] * cnt[c][g] % mod * cnt[g][h] % mod;
dp2[a][f][g][h] %= mod;
}
}
}
}
}
int ret = 0;
for(int a = 0; a < k; a++){
for(int f = 0; f < k; f++){
for(int g = 0; g < k; g++){
for(int h = 0; h < k; h++){
for(int e = 0; e < k; e++){
ret += dp2[a][f][g][h] * cnt[a][e] % mod * cnt[f][e] % mod * cnt[g][e] % mod;
ret %= mod;
}
}
}
}
}
return ret;
}
int32_t main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n, ans = 0;
cin >> n;
unordered_set<string> S[11];
vector<string> arr;
for(int i = 0; i < n; i++){
string s;
cin >> s;
S[sz(s)].insert(s);
reverse(all(s));
S[sz(s)].insert(s);
}
for(char i = 'a'; i <= 'p'; i++) ptr[i] = 0;
// for(char i = 'A'; i <= 'P'; i++) ptr[i] = 0;
int ind = 0;
for(auto& p : ptr){
p.second = ind++;
}
for(int i = 3; i <= 10; i++){
if(S[i].empty()) continue;
vector<vector<int> > cnt(k, vector<int>(k, 0));
for(auto p : S[i]){
cnt[ptr[p[0]]][ptr[p[i - 1]]]++;
}
ans += solve(cnt);
}
cout << ans % mod;
}
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