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;
int n,c[4],atas,bawah,kanan,kiri;
char cc;
long long satu,kdua,dua,kempat,empat,up[680],dn[680],le[680],ri[680],cas[6][680][680];
bool cek[30][30];
int main(){
ios_base::sync_with_stdio(NULL);
cin.tie(0);cout.tie(0);
cin>>n;
memset(up,0,sizeof up);
memset(dn,0,sizeof dn);
memset(le,0,sizeof le);
memset(ri,0,sizeof ri);
satu = 0;
dua = 0;
empat = 0;
memset(cek,0,sizeof cek);
for(int i=1;i<=n;i++){
for(int j=0;j<4;j++){
cin>>cc;
c[j] = (int)(cc-'A');
}
if(c[0] == c[3] && c[1] == c[2] && c[0] == c[1]){
kempat++;
}
else if(c[0] == c[1] && c[2] == c[3]) kdua++;
else if(c[0] == c[2] && c[1] == c[3]) kdua++;
else if(c[0] == c[3] && c[1] == c[2]){
cek[c[0]][c[1]] = 1;
if(cek[c[1]][c[0]]){
empat++;
}
}
atas = c[0]*26+c[1];
bawah = c[2]*26+c[3];
kanan = c[1]*26+c[3];
kiri = c[0]*26+c[2];
up[atas]++;
dn[bawah]++;
le[kiri]++;
ri[kanan]++;
cas[0][atas][bawah]++;
cas[1][kiri][kanan]++;
cas[2][kiri][atas]++;
cas[3][atas][kanan]++;
cas[4][kiri][bawah]++;
cas[5][bawah][kanan]++;
}
// cout<<"kdua kempat empat "<<kdua<<' '<<kempat<<' '<<empat<<endl;
for(int i=0;i<676;i++){
for(int j=0;j<676;j++){
dua += cas[0][i][j] * cas[0][j][i];
dua += cas[1][i][j] * cas[1][j][i];
dua += cas[2][i][j] * cas[5][j][i];
dua += cas[3][i][j] * cas[4][j][i];
dua += cas[4][i][j] * cas[3][j][i];
dua += cas[5][i][j] * cas[2][j][i];
}
}
// cout<<"dua bruto "<<dua<<endl;
dua -= kempat*6;
dua -= kdua;
dua /= 2;
dua -= empat*6;
// cout<<"dua neto "<<dua<<endl;
for(int i=0;i<676;i++){
satu += up[i]*dn[i];
satu += le[i]*ri[i];
satu += up[i]*dn[i];
satu += le[i]*ri[i];
}
satu -= kempat*4;
satu -= kdua*2;
satu /= 2;
satu -= dua*2;
satu -= empat*4;
// cout<<satu<<' '<<dua<<' '<<empat<<endl;
cout<<satu+dua+empat<<endl;
}
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