Submission #379377

#TimeUsernameProblemLanguageResultExecution timeMemory
379377YJUCubeword (CEOI19_cubeword)C++14
100 / 100
340 ms17232 KiB
#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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