#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; double P0, Q; void init(){ cin >> P0 >> Q; } const int T = 20; double dp[ T ][ 1 << T ]; void preprocess(){ P0 /= 100.0; Q /= 100.0; dp[ 1 ][ 0 ] = 1.0 / 3.0; for( int i = 1; i + 1 < T; ++i ) for( int j = 0; j < 1 << i; ++j ){ double skill = P0; for( int k = 1; k < i; ++k ){ if( j & 1 << k ) skill = min( 1.0, max( 0.0, skill - Q ) ); else skill = min( 1.0, max( 0.0, skill + Q ) ); } dp[ i + 1 ][ j | 1 << i ] += dp[ i ][ j ] * skill * 0.5; dp[ i + 1 ][ j ] += dp[ i ][ j ] * ( 1.0 - skill ) / 3.0; } } void solve(){ double ans = 1.0 / 3.0; for( int i = 1; i < T; ++i ) for( int j = 0; j < 1 << i; ++j ){ double skill = P0; for( int k = 1; k < i; ++k ){ if( j & 1 << k ) skill = min( 1.0, max( 0.0, skill - Q ) ); else skill = min( 1.0, max( 0.0, skill + Q ) ); } ans += dp[ i ][ j ] * skill * 0.5; ans += dp[ i ][ j ] * ( 1.0 - skill ) / 3.0; } cout << fixed << setprecision( 9 ) << ans << endl; } signed main(){ ios::sync_with_stdio( 0 ); init(); preprocess(); solve(); return 0; }