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>
#pragma GCC optimize("unroll-loops,no-stack-protector,Ofast")
using namespace std;
typedef long long ll;
typedef pair<ll,ll> pll;
typedef long double ld;
const ll N=62;
const ll MOD=998244353;
const ll INF=(1LL<<58);
const ld pi=acos(-1);
#define REP(i,n) for(int i=0;i<n;++i)
#define REP1(i,n) for(int i=1;i<=n;++i)
#define pb push_back
#define mp make_pair
#define ff first
#define ss second
#define lwb lower_bound
#define SZ(_a) (ll)_a.size()
#define ALL(_a) _a.begin(),_a.end()
ll ans,cnt[11][N][N],n,ccc[11][N][N][N],fac[5],is[N];
string s;
vector<string> v;
ll rev(char ch){
if('a'<=ch&&ch<='z')return (ll)ch-'a';
if('A'<=ch&&ch<='Z')return (ll)26+ch-'A';
return (ll)52+ch-'0';
}
int main(){
ios_base::sync_with_stdio(0);cin.tie(0);
fac[0]=1;
REP1(i,4)fac[i]=fac[i-1]*i;
cin>>n;
REP(i,n){
cin>>s;
v.pb(s);
reverse(s.begin(),s.end());
v.pb(s);
}
sort(v.begin(),v.end());
v.erase(unique(v.begin(),v.end()),v.end());
for(auto i:v){
++cnt[SZ(i)][rev(i[0])][rev(i[SZ(i)-1])];
}
for(int len=3;len<=10;++len){
REP(i,N)REP(j,i+1)REP(k,j+1){
REP(chose,N){
ccc[len][i][j][k]+=cnt[len][i][chose]*cnt[len][j][chose]*cnt[len][k][chose]%MOD;
if(ccc[len][i][j][k]>=MOD)ccc[len][i][j][k]-=MOD;
}
}
}
for(int len=3;len<=10;++len){
REP(i,N)REP(j,i+1)REP(k,j+1)REP(l,k+1){
++is[i];++is[j];++is[k];++is[l];
ll val=fac[4];
if(is[i])val/=fac[is[i]],is[i]=0;
if(is[j])val/=fac[is[j]],is[j]=0;
if(is[k])val/=fac[is[k]],is[k]=0;
if(is[l])val/=fac[is[l]],is[l]=0;
ll a=ccc[len][i][j][k],b=ccc[len][i][j][l],c=ccc[len][i][k][l],d=ccc[len][j][k][l];
ans+=(a*b%MOD*c%MOD*d%MOD)*val;
ans%=MOD;
}
}
cout<<ans<<"\n";
return 0;
}
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