#include using namespace std; typedef long long ll; typedef pair< int, int > pii; typedef vector< int > vi; typedef vector< vi > vvi; typedef vector< ll > vl; typedef vector< vl > vvl; typedef vector< pii > vp; typedef vector< vp > vvp; typedef vector< string > vs; typedef vector< double > vd; typedef vector< vd > vvd; 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; } int H, A, D; void init(){ cin >> H >> A >> D; } vi vis; vd dp; void preprocess(){ vis = vi( H + 1 ); dp = vd( H + 1 ); } double dfs( int h ){ if( h <= 0 ) return 0; if( vis[ h ] ) return dp[ h ]; vis[ h ] = 1; return dp[ h ] = min( dfs( h - A ) + 1, dfs( h ) / 2 + dfs( h - D ) + 3.0 / 2 ); } void solve(){ cout << dfs( H ) << endl; } signed main(){ ios::sync_with_stdio( 0 ); init(); preprocess(); solve(); return 0; }