#include using namespace std; #define int long long #define stoi stoll using ll=long long; using vi=vector; using pii=pair; #define ALL(c) begin(c),end(c) #define RALL(c) rbegin(c),rend(c) #define ITR(i,b,e) for(auto i=(b);i!=(e);++i) #define FORE(x,c) for(auto &x:c) #define REPF(i,a,n) for(int i=a,i##len=(int)(n);i=0;--i) #define SZ(c) ((int)c.size()) #define CONTAIN(c,x) (c.find(x)!=end(c)) #define OUTOFRANGE(y,x,h,w) ((y)<0||(x)<0||(y)>=(h)||(x)>=(w)) #define dump(...) const signed INF_=1001001001; const ll INF=1001001001001001001LL; const int DX[9]={0,1,0,-1,1,1,-1,-1,0},DY[9]={-1,0,1,0,-1,1,1,-1,0}; template ostream& operator<<(ostream &os,const vector &v) { ITR(i,begin(v),end(v))os<<*i<<(i==end(v)-1?"":" ");return os;} template istream& operator>>(istream &is,vector &v) { ITR(i,begin(v),end(v)) is>>*i;return is;} template istream& operator>>(istream &is, pair &p) { is>>p.first>>p.second;return is;} template bool chmax(T &a,const T &b){if(a bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}return 0;} template using heap=priority_queue,greater>; struct{template operator T(){T x;cin>>x;return x;}} IN; struct before_main_function { before_main_function() { cin.tie(0);ios::sync_with_stdio(false); cout< id; vector coin(5); REP(i,5) { string s; int c; cin>>s>>c; id[s]=i; coin[i]=c; } vector nx(3); vector,int>> cnt(3); REP(i,3) { cin>>nx[i]; vector A; REP(j,nx[i]) { string s; cin>>s; A.push_back(id[s]); } REP(j,nx[i]) { vector tmp; REP(k,3) tmp.push_back(A[(j+k)%nx[i]]); if(!CONTAIN(cnt[i],tmp)) cnt[i][tmp]=1; else cnt[i][tmp]++; } } double ans=0; vector task2(5,0); vector> b(3); function dfs=[&](int i) { if(i==3) { REP(j,3) { if(!CONTAIN(cnt[j],b[j])) { return; } } int score=0; int num=1; REP(j,3) num*=cnt[j][b[j]]; REP(j,3) { bool same=true; REP(k,2) { if(b[k][j]!=b[k+1][j]) { same=false; } } if(same) { task2[b[0][j]]+=num; score+=coin[b[0][j]]; } } if(b[0][0]==b[1][1] && b[1][1]==b[2][2]) { task2[b[0][0]]+=num; score+=coin[b[0][0]]; } if(b[0][2]==b[1][1] && b[1][1]==b[2][0]) { task2[b[0][2]]+=num; score+=coin[b[0][2]]; } ans+=num*score/(double)(nx[0]*nx[1]*nx[2]); return; } REP(j,5) { REP(k,5) { REP(l,5) { b[i]={j,k,l}; dfs(i+1); } } } }; dfs(0); cout<