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>
using namespace std;
#define int long long
const int MOD = 998244353;
const int MAXN = 72;
const int MAXT = 11;
//Freq of two ends of and edge
int freq[MAXT][MAXN][MAXN];
//Freq of the meeting of three edges
int freq3[MAXT][MAXN][MAXN][MAXN];
int letters[MAXT];
map<char, int> comp[MAXT];
set<string> palav[MAXT];
int resp = 0;
inline int add(int a, int b) {return (a + b) % MOD;}
inline int mult(int a, int b) {return (a * b) % MOD;}
int32_t main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int N;
cin >> N;
for (int i = 1; i <= N; i++)
{
string s;
cin >> s;
palav[s.size()].insert(s);
reverse(s.begin(), s.end());
palav[s.size()].insert(s);
}
for (int i = 3; i < MAXT; i++)
{
for (auto &s : palav[i])
{
char b = s[0], f = s.back();
if (comp[i][b] == 0) comp[i][b] = ++letters[i];
if (comp[i][f] == 0) comp[i][f] = ++letters[i];
freq[i][comp[i][b]][comp[i][f]]++;
}
}
for (int t = 3; t < MAXT; t++)
{
for (int i = 1; i <= letters[t]; i++)
{
for (int j = i; j <= letters[t]; j++)
{
for (int k = j; k <= letters[t]; k++)
{
for (int x = 1; x <= letters[t]; x++)
{
freq3[t][i][j][k] = freq3[t][i][k][j] = freq3[t][j][i][k] = freq3[t][j][k][i] = freq3[t][k][i][j] = freq3[t][k][j][i] = add(freq3[t][i][j][k], mult(freq[t][i][x], mult(freq[t][j][x], freq[t][k][x])));
}
}
}
}
}
for (int t = 3; t < MAXT; t++)
{
for (int i = 1; i <= letters[t]; i++)
{
for (int j = 1; j <= letters[t]; j++)
{
for (int k = 1; k <= letters[t]; k++)
{
int ansX = freq3[t][i][j][k];
if (ansX == 0) continue;
for (int l = 1; l <= letters[t]; l++)
{
int ans = ansX;
ans = mult(ans, freq3[t][i][j][l]);
ans = mult(ans, freq3[t][i][k][l]);
ans = mult(ans, freq3[t][j][k][l]);
resp = add(resp, ans);
}
}
}
}
}
cout << resp << '\n';
}
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