Submission #946822

#TimeUsernameProblemLanguageResultExecution timeMemory
946822galen_colinCubeword (CEOI19_cubeword)C++17
100 / 100
99 ms30668 KiB
/* not my code (obviously i don't code like this wtf) */

#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2")
 
#include <bits/stdc++.h>
using namespace std;
#define int long long
 
map<char, int> mp;
int c[11][62][62][62];
int prod[11][62][62][62];
int aa[11][63][63];
 
const int mod = 998244353;
const int msq = mod * mod;
 
inline int mul(int x, int y){
	if((x*y)>mod) return x*y%mod;
	return x*y;
}

void solve(){
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	int cnt=0;
 
	for(int i='a'; i<='z'; i++) mp[i]=cnt++;
	for(int i='A'; i<='Z'; i++)	mp[i]=cnt++;
	for(int i='0'; i<='9'; i++)	mp[i]=cnt++;
	
	int n; cin>>n;
	vector<string> s(n), x;
		
	for(auto &i: s){
		cin >> i;
		string x = i;
		reverse(x.begin(), x.end());
		if(x<i) i=x;
	}
 
	sort(s.begin(), s.end());
	for(int i=0; i<n; i++){
		if(i==0||s[i]!=s[i-1]) x.push_back(s[i]);
	}

    memset(aa, 0, sizeof aa);
    memset(c, 0, sizeof c);
 
	s=x;
	n = s.size();	
 
	for(int i=0; i<n; i++){
		string x=s[i];
		reverse(x.begin(), x.end());
		if(x==s[i]) aa[x.size()][mp[x[0]]][mp[x.back()]]++;
		else aa[x.size()][mp[x[0]]][mp[x.back()]]++, aa[x.size()][mp[x.back()]][mp[x[0]]]++;
	}
	for(int i=3; i<=10; i++){
        for(int a=0; a<62; a++){
            for(int b=a; b<62; b++){
                for(int cc=b; cc<62; cc++){
                    for(int j=0; j<62; j++){
						c[i][a][b][cc] += aa[i][a][j] * aa[i][b][j] * aa[i][cc][j];
					}
                    c[i][a][b][cc] %= mod;
				}
			}
		}
	}
 
	int ans=0;
	for(int i=3; i<=10; i++){
		for(int a=0; a<62; a++){
			for(int b=a; b<62; b++){
				for(int cc=b; cc<62; cc++){
                    int t = 0;
					for(int d=cc; d<62; d++){
 
					int val = 0;
					if(d==a) val = 291154603;
					else if(d==b) val=166374059;
					else if(cc==a) val= 166374059;
					else if(b==a && d==cc) val=748683265;
					else if(d==cc || b==a) val= 499122177;
					else if(cc==b) val = 499122177;
					else val=1;
 
					if (val != 1) {
                        ans += val * mul(mul(c[i][a][b][cc], c[i][a][b][d]), mul(c[i][b][cc][d], c[i][a][cc][d]));
                    } else {
                        ans += mul(c[i][a][b][cc], c[i][a][b][d]) * mul(c[i][b][cc][d], c[i][a][cc][d]);
                    }
                    if (t++ == 9) {
                        ans %= mod;
                        t = 0;
                    }
				}
                ans %= mod;
			}
			}
		}
 
	}

    ans = (ans * 24) % mod;
 
	cout<<ans<<'\n';
}   

signed main() {
    int t = 1;
    #ifdef galen_colin_local
    cin >> t;
    #endif
    while (t--) solve();
}
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