#include using namespace std; typedef long long ll; typedef vector< int > vi; typedef vector< vi > vvi; typedef vector< ll > vl; typedef vector< vl > vvl; typedef pair< int, int > pii; typedef vector< pii > vp; typedef vector< double > vd; typedef vector< vd > vvd; typedef vector< string > vs; template< class T1, class T2 > int upmin( T1 &x, T2 v ){ if( x > v ){ x = v; return 1; } return 0; } template< class T1, class T2 > int upmax( T1 &x, T2 v ){ if( x < v ){ x = v; return 1; } return 0; } const int INF = 0x3f3f3f3f; int N; double Pa, Pb; vi A; vi B; void init(){ cin >> N; cin >> Pa >> Pb; A = B = vi( N ); for( int i = 0; i < N; ++i ){ cin >> A[ i ]; } for( int i = 0; i < N; ++i ){ cin >> B[ i ]; } } void preprocess(){ sort( A.begin(), A.end() ); sort( B.begin(), B.end() ); } void solve(){ srand( time( NULL ) ); int win = 0; int trial = ( int ) 1e6; for( int kase = 0; kase < trial; ++kase ){ int asum = 0, bsum = 0; vi a = A, b = B; for( int i = 0; i < N - 1; ++i ){ int aid, bid; if( rand() % 1000 < Pa * 1000 ){ aid = 0; } else{ aid = rand() % ( a.size() - 1 ) + 1; } if( rand() % 1000 < Pb * 1000 ){ bid = 0; } else{ bid = rand() % ( b.size() - 1 ) + 1; } if( a[ aid ] > b[ bid ] ){ asum += a[ aid ] + b[ bid ]; } else{ bsum += a[ aid ] + b[ bid ]; } a.erase( a.begin() + aid ); b.erase( b.begin() + bid ); } if( a[ 0 ] > b[ 0 ] ){ asum += a[ 0 ] + b[ 0 ]; } else{ bsum += a[ 0 ] + b[ 0 ]; } if( asum > bsum ){ ++win; } } cout << fixed << setprecision( 7 ) << 1.0 * win / trial << endl; } signed main(){ ios::sync_with_stdio( 0 ); init(); preprocess(); solve(); return 0; }