#include "bits/stdc++.h"
using namespace std;
#define FAST ios_base::sync_with_stdio(false); cin.tie(0);
#define pb push_back
#define eb emplace_back
#define ins insert
#define f first
#define s second
#define cbr cerr << "hi\n"
#define mmst(x, v) memset((x), v, sizeof ((x)))
#define siz(x) ll(x.size())
#define all(x) (x).begin(), (x).end()
#define lbd(x,y) (lower_bound(all(x),y)-x.begin())
#define ubd(x,y) (upper_bound(all(x),y)-x.begin())
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); //can be used by calling rng() or shuffle(A, A+n, rng)
inline long long rand(long long x, long long y) { return (rng() % (y+1-x)) + x; } //inclusivesss
string inline to_string(char c) {string s(1,c);return s;} template<typename T> inline T gcd(T a,T b){ return a==0?llabs(b):gcd(b%a,a); }
typedef long long ll;
typedef long double ld;
#define FOR(i,s,e) for(int i=s;i<=ll(e);++i)
#define DEC(i,s,e) for(ll i=s;i>=ll(e);--i)
typedef pair<ll,ll>pi; typedef pair<ll,pi>spi; typedef pair<pi,pi>dpi;
#define LLINF ((long long)1e18)
#define INF int(1e9+1e6)
#define MAXN (100006)
ll n,mod=998244353,dp[62][62][62];
ll e[62][62];
vector<string> A[11];
unordered_map<string,bool> mp;
ll d(char ch){
if(ch>='a'&&ch<='z') return ch-'a';
else if(ch>='A'&&ch<='Z') return ch-'A'+26;
else return 52+ch-'0';
}
// 0...61
int main(){
FAST
cin>>n;
FOR(i,1,n){
string a;cin>>a;
A[a.size()].pb(a);
// for(auto i:a) assert((i>='a'&&i<='p')||(i>='A'&&i<='P'));
}
ll sum=0;
FOR(l,3,10){
vector<string> v;
FOR(i,0,siz(A[l])-1){
reverse(all(A[l][i]));
if(mp[A[l][i]])continue;
reverse(all(A[l][i]));
mp[A[l][i]]=1;
v.pb(A[l][i]);
}
A[l]=v;
mmst(e,0),mmst(dp,0);
ll ans=0;
auto ispalin=[&](string s){
string tmp=s;
reverse(all(tmp));
return tmp==s;
};
for(auto i:A[l]){
++ e[d(i[0])][d(i.back())];
++ e[d(i.back())][d(i[0])];
if(ispalin(i)) --e[d(i[0])][d(i[0])];
}
FOR(i,0,61)FOR(j,0,i)FOR(k,0,j)FOR(t,0,61){
dp[i][j][k]+=e[t][i]*e[t][j]*e[t][k]%mod,dp[i][j][k]%=mod;
}
FOR(i,0,61)FOR(j,0,i)FOR(k,0,j)FOR(l,0,k){
// ll a=0,b=0,c=0,d=0;
// FOR(t,0,61){
// a+=e[t][i]*e[t][j]*e[t][k]%mod,a%=mod;
// b+=e[t][i]*e[t][j]*e[t][l]%mod,b%=mod;
// c+=e[t][i]*e[t][k]*e[t][l]%mod,c%=mod;
// d+=e[t][j]*e[t][k]*e[t][l]%mod,d%=mod;
// }
auto p=[&](ll a,ll b,ll c,ll d){
vector<pi> v;
v.eb(1, a);
if(b==a) ++v[0].f; else v.eb(1,b);
if(c==a) ++ v[0].f; else if(c==b) ++ v[1].f; else v.eb(1,c);
if(d==a) ++ v[0].f; else if(d==b) ++ v[1].f; else if(a==b&&c==d) ++ v[1].f; else if(c==d) ++ v[2].f; else v.eb(1,d);
if(siz(v)==4) return 4*3*2;
else if(siz(v)==3) return 4*3;
else if(siz(v)==2&&v[0].f==2) return 6; // 2 2
else if(siz(v)==2) return 4;
else return 1;
};
ans+=dp[i][j][k]*dp[i][j][l]%mod*dp[i][k][l]%mod*dp[j][k][l]%mod*p(i,j,k,l),ans%=mod;
}
sum+=ans,sum%=mod;
}
cout<<sum<<'\n';
} //
/*
1
badab
1
aoboc
2
FLOC
COLF
3
baobab
baboab
bob
3
OFDING
LFBMIO
ACCEPO
3
MANBLA
MANCOE
ANDNAE
*/
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
968 ms |
20312 KB |
Output is correct |
2 |
Correct |
999 ms |
20460 KB |
Output is correct |
3 |
Correct |
988 ms |
20420 KB |
Output is correct |
4 |
Correct |
1008 ms |
20536 KB |
Output is correct |
5 |
Correct |
1065 ms |
20476 KB |
Output is correct |
6 |
Correct |
994 ms |
20460 KB |
Output is correct |
7 |
Correct |
1018 ms |
20340 KB |
Output is correct |
8 |
Correct |
1028 ms |
20516 KB |
Output is correct |
9 |
Correct |
1010 ms |
20396 KB |
Output is correct |
10 |
Correct |
1000 ms |
20488 KB |
Output is correct |
11 |
Correct |
1040 ms |
20324 KB |
Output is correct |
12 |
Correct |
985 ms |
20488 KB |
Output is correct |
13 |
Correct |
993 ms |
20456 KB |
Output is correct |
14 |
Correct |
1018 ms |
20352 KB |
Output is correct |
15 |
Correct |
992 ms |
20328 KB |
Output is correct |
16 |
Correct |
1014 ms |
20520 KB |
Output is correct |
17 |
Correct |
1016 ms |
20412 KB |
Output is correct |
18 |
Correct |
1024 ms |
20416 KB |
Output is correct |
19 |
Correct |
1006 ms |
20480 KB |
Output is correct |
20 |
Correct |
1048 ms |
20376 KB |
Output is correct |
21 |
Correct |
1012 ms |
20408 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
968 ms |
20312 KB |
Output is correct |
2 |
Correct |
999 ms |
20460 KB |
Output is correct |
3 |
Correct |
988 ms |
20420 KB |
Output is correct |
4 |
Correct |
1008 ms |
20536 KB |
Output is correct |
5 |
Correct |
1065 ms |
20476 KB |
Output is correct |
6 |
Correct |
994 ms |
20460 KB |
Output is correct |
7 |
Correct |
1018 ms |
20340 KB |
Output is correct |
8 |
Correct |
1028 ms |
20516 KB |
Output is correct |
9 |
Correct |
1010 ms |
20396 KB |
Output is correct |
10 |
Correct |
1000 ms |
20488 KB |
Output is correct |
11 |
Correct |
1040 ms |
20324 KB |
Output is correct |
12 |
Correct |
985 ms |
20488 KB |
Output is correct |
13 |
Correct |
993 ms |
20456 KB |
Output is correct |
14 |
Correct |
1018 ms |
20352 KB |
Output is correct |
15 |
Correct |
992 ms |
20328 KB |
Output is correct |
16 |
Correct |
1014 ms |
20520 KB |
Output is correct |
17 |
Correct |
1016 ms |
20412 KB |
Output is correct |
18 |
Correct |
1024 ms |
20416 KB |
Output is correct |
19 |
Correct |
1006 ms |
20480 KB |
Output is correct |
20 |
Correct |
1048 ms |
20376 KB |
Output is correct |
21 |
Correct |
1012 ms |
20408 KB |
Output is correct |
22 |
Correct |
1004 ms |
20524 KB |
Output is correct |
23 |
Correct |
1041 ms |
20432 KB |
Output is correct |
24 |
Correct |
1000 ms |
20488 KB |
Output is correct |
25 |
Correct |
1020 ms |
20496 KB |
Output is correct |
26 |
Correct |
1020 ms |
20512 KB |
Output is correct |
27 |
Correct |
1025 ms |
20608 KB |
Output is correct |
28 |
Correct |
1000 ms |
20656 KB |
Output is correct |
29 |
Correct |
1012 ms |
20460 KB |
Output is correct |
30 |
Correct |
985 ms |
20464 KB |
Output is correct |
31 |
Correct |
1004 ms |
20428 KB |
Output is correct |
32 |
Correct |
1034 ms |
20372 KB |
Output is correct |
33 |
Correct |
1008 ms |
20524 KB |
Output is correct |
34 |
Correct |
1004 ms |
20548 KB |
Output is correct |
35 |
Correct |
1004 ms |
20448 KB |
Output is correct |
36 |
Correct |
1018 ms |
20480 KB |
Output is correct |
37 |
Correct |
1008 ms |
20516 KB |
Output is correct |
38 |
Correct |
1002 ms |
20536 KB |
Output is correct |
39 |
Correct |
986 ms |
20468 KB |
Output is correct |
40 |
Correct |
1014 ms |
20444 KB |
Output is correct |
41 |
Correct |
1018 ms |
20496 KB |
Output is correct |
42 |
Correct |
1010 ms |
20532 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
968 ms |
20312 KB |
Output is correct |
2 |
Correct |
999 ms |
20460 KB |
Output is correct |
3 |
Correct |
988 ms |
20420 KB |
Output is correct |
4 |
Correct |
1008 ms |
20536 KB |
Output is correct |
5 |
Correct |
1065 ms |
20476 KB |
Output is correct |
6 |
Correct |
994 ms |
20460 KB |
Output is correct |
7 |
Correct |
1018 ms |
20340 KB |
Output is correct |
8 |
Correct |
1028 ms |
20516 KB |
Output is correct |
9 |
Correct |
1010 ms |
20396 KB |
Output is correct |
10 |
Correct |
1000 ms |
20488 KB |
Output is correct |
11 |
Correct |
1040 ms |
20324 KB |
Output is correct |
12 |
Correct |
985 ms |
20488 KB |
Output is correct |
13 |
Correct |
993 ms |
20456 KB |
Output is correct |
14 |
Correct |
1018 ms |
20352 KB |
Output is correct |
15 |
Correct |
992 ms |
20328 KB |
Output is correct |
16 |
Correct |
1014 ms |
20520 KB |
Output is correct |
17 |
Correct |
1016 ms |
20412 KB |
Output is correct |
18 |
Correct |
1024 ms |
20416 KB |
Output is correct |
19 |
Correct |
1006 ms |
20480 KB |
Output is correct |
20 |
Correct |
1048 ms |
20376 KB |
Output is correct |
21 |
Correct |
1012 ms |
20408 KB |
Output is correct |
22 |
Correct |
1004 ms |
20524 KB |
Output is correct |
23 |
Correct |
1041 ms |
20432 KB |
Output is correct |
24 |
Correct |
1000 ms |
20488 KB |
Output is correct |
25 |
Correct |
1020 ms |
20496 KB |
Output is correct |
26 |
Correct |
1020 ms |
20512 KB |
Output is correct |
27 |
Correct |
1025 ms |
20608 KB |
Output is correct |
28 |
Correct |
1000 ms |
20656 KB |
Output is correct |
29 |
Correct |
1012 ms |
20460 KB |
Output is correct |
30 |
Correct |
985 ms |
20464 KB |
Output is correct |
31 |
Correct |
1004 ms |
20428 KB |
Output is correct |
32 |
Correct |
1034 ms |
20372 KB |
Output is correct |
33 |
Correct |
1008 ms |
20524 KB |
Output is correct |
34 |
Correct |
1004 ms |
20548 KB |
Output is correct |
35 |
Correct |
1004 ms |
20448 KB |
Output is correct |
36 |
Correct |
1018 ms |
20480 KB |
Output is correct |
37 |
Correct |
1008 ms |
20516 KB |
Output is correct |
38 |
Correct |
1002 ms |
20536 KB |
Output is correct |
39 |
Correct |
986 ms |
20468 KB |
Output is correct |
40 |
Correct |
1014 ms |
20444 KB |
Output is correct |
41 |
Correct |
1018 ms |
20496 KB |
Output is correct |
42 |
Correct |
1010 ms |
20532 KB |
Output is correct |
43 |
Correct |
991 ms |
20692 KB |
Output is correct |
44 |
Correct |
1014 ms |
20852 KB |
Output is correct |
45 |
Correct |
966 ms |
20632 KB |
Output is correct |
46 |
Correct |
1000 ms |
20616 KB |
Output is correct |
47 |
Correct |
998 ms |
20584 KB |
Output is correct |
48 |
Correct |
989 ms |
20532 KB |
Output is correct |
49 |
Correct |
990 ms |
20620 KB |
Output is correct |
50 |
Correct |
972 ms |
20632 KB |
Output is correct |
51 |
Correct |
987 ms |
20712 KB |
Output is correct |
52 |
Correct |
1008 ms |
20892 KB |
Output is correct |
53 |
Correct |
982 ms |
20616 KB |
Output is correct |
54 |
Correct |
1024 ms |
20660 KB |
Output is correct |
55 |
Correct |
1010 ms |
20824 KB |
Output is correct |
56 |
Correct |
1016 ms |
20620 KB |
Output is correct |
57 |
Correct |
1016 ms |
20584 KB |
Output is correct |
58 |
Correct |
981 ms |
20596 KB |
Output is correct |
59 |
Correct |
1000 ms |
20652 KB |
Output is correct |
60 |
Correct |
1022 ms |
20664 KB |
Output is correct |
61 |
Correct |
1002 ms |
20512 KB |
Output is correct |
62 |
Correct |
983 ms |
20496 KB |
Output is correct |
63 |
Correct |
1004 ms |
20560 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
968 ms |
20312 KB |
Output is correct |
2 |
Correct |
999 ms |
20460 KB |
Output is correct |
3 |
Correct |
988 ms |
20420 KB |
Output is correct |
4 |
Correct |
1008 ms |
20536 KB |
Output is correct |
5 |
Correct |
1065 ms |
20476 KB |
Output is correct |
6 |
Correct |
994 ms |
20460 KB |
Output is correct |
7 |
Correct |
1018 ms |
20340 KB |
Output is correct |
8 |
Correct |
1028 ms |
20516 KB |
Output is correct |
9 |
Correct |
1010 ms |
20396 KB |
Output is correct |
10 |
Correct |
1000 ms |
20488 KB |
Output is correct |
11 |
Correct |
1040 ms |
20324 KB |
Output is correct |
12 |
Correct |
985 ms |
20488 KB |
Output is correct |
13 |
Correct |
993 ms |
20456 KB |
Output is correct |
14 |
Correct |
1018 ms |
20352 KB |
Output is correct |
15 |
Correct |
992 ms |
20328 KB |
Output is correct |
16 |
Correct |
1014 ms |
20520 KB |
Output is correct |
17 |
Correct |
1016 ms |
20412 KB |
Output is correct |
18 |
Correct |
1024 ms |
20416 KB |
Output is correct |
19 |
Correct |
1006 ms |
20480 KB |
Output is correct |
20 |
Correct |
1048 ms |
20376 KB |
Output is correct |
21 |
Correct |
1012 ms |
20408 KB |
Output is correct |
22 |
Correct |
1004 ms |
20524 KB |
Output is correct |
23 |
Correct |
1041 ms |
20432 KB |
Output is correct |
24 |
Correct |
1000 ms |
20488 KB |
Output is correct |
25 |
Correct |
1020 ms |
20496 KB |
Output is correct |
26 |
Correct |
1020 ms |
20512 KB |
Output is correct |
27 |
Correct |
1025 ms |
20608 KB |
Output is correct |
28 |
Correct |
1000 ms |
20656 KB |
Output is correct |
29 |
Correct |
1012 ms |
20460 KB |
Output is correct |
30 |
Correct |
985 ms |
20464 KB |
Output is correct |
31 |
Correct |
1004 ms |
20428 KB |
Output is correct |
32 |
Correct |
1034 ms |
20372 KB |
Output is correct |
33 |
Correct |
1008 ms |
20524 KB |
Output is correct |
34 |
Correct |
1004 ms |
20548 KB |
Output is correct |
35 |
Correct |
1004 ms |
20448 KB |
Output is correct |
36 |
Correct |
1018 ms |
20480 KB |
Output is correct |
37 |
Correct |
1008 ms |
20516 KB |
Output is correct |
38 |
Correct |
1002 ms |
20536 KB |
Output is correct |
39 |
Correct |
986 ms |
20468 KB |
Output is correct |
40 |
Correct |
1014 ms |
20444 KB |
Output is correct |
41 |
Correct |
1018 ms |
20496 KB |
Output is correct |
42 |
Correct |
1010 ms |
20532 KB |
Output is correct |
43 |
Correct |
991 ms |
20692 KB |
Output is correct |
44 |
Correct |
1014 ms |
20852 KB |
Output is correct |
45 |
Correct |
966 ms |
20632 KB |
Output is correct |
46 |
Correct |
1000 ms |
20616 KB |
Output is correct |
47 |
Correct |
998 ms |
20584 KB |
Output is correct |
48 |
Correct |
989 ms |
20532 KB |
Output is correct |
49 |
Correct |
990 ms |
20620 KB |
Output is correct |
50 |
Correct |
972 ms |
20632 KB |
Output is correct |
51 |
Correct |
987 ms |
20712 KB |
Output is correct |
52 |
Correct |
1008 ms |
20892 KB |
Output is correct |
53 |
Correct |
982 ms |
20616 KB |
Output is correct |
54 |
Correct |
1024 ms |
20660 KB |
Output is correct |
55 |
Correct |
1010 ms |
20824 KB |
Output is correct |
56 |
Correct |
1016 ms |
20620 KB |
Output is correct |
57 |
Correct |
1016 ms |
20584 KB |
Output is correct |
58 |
Correct |
981 ms |
20596 KB |
Output is correct |
59 |
Correct |
1000 ms |
20652 KB |
Output is correct |
60 |
Correct |
1022 ms |
20664 KB |
Output is correct |
61 |
Correct |
1002 ms |
20512 KB |
Output is correct |
62 |
Correct |
983 ms |
20496 KB |
Output is correct |
63 |
Correct |
1004 ms |
20560 KB |
Output is correct |
64 |
Correct |
1026 ms |
20768 KB |
Output is correct |
65 |
Correct |
1010 ms |
20840 KB |
Output is correct |
66 |
Correct |
1031 ms |
20764 KB |
Output is correct |
67 |
Correct |
1022 ms |
20880 KB |
Output is correct |
68 |
Correct |
1008 ms |
20856 KB |
Output is correct |
69 |
Correct |
1034 ms |
20812 KB |
Output is correct |
70 |
Correct |
1018 ms |
20848 KB |
Output is correct |
71 |
Correct |
1002 ms |
20884 KB |
Output is correct |
72 |
Correct |
1022 ms |
20744 KB |
Output is correct |
73 |
Correct |
1047 ms |
20780 KB |
Output is correct |
74 |
Correct |
1095 ms |
20820 KB |
Output is correct |
75 |
Correct |
1051 ms |
20696 KB |
Output is correct |
76 |
Correct |
1054 ms |
20748 KB |
Output is correct |
77 |
Correct |
1041 ms |
20728 KB |
Output is correct |
78 |
Correct |
1016 ms |
20664 KB |
Output is correct |
79 |
Correct |
1008 ms |
20880 KB |
Output is correct |
80 |
Correct |
1000 ms |
20896 KB |
Output is correct |
81 |
Correct |
1057 ms |
20672 KB |
Output is correct |
82 |
Correct |
1044 ms |
20788 KB |
Output is correct |
83 |
Correct |
1056 ms |
20752 KB |
Output is correct |
84 |
Correct |
1048 ms |
20780 KB |
Output is correct |