public static void main ( String [ ] args ) {
  Scanner in = new Scanner ( System . in ) ;
  int inputs = in . nextInt ( ) ;
  Q : for ( int _ = 1 ;
  _ <= inputs ;
  _ ++ ) {
    int a = in . nextInt ( ) ;
    int b = in . nextInt ( ) ;
    double exp = 2 + b ;
    double [ ] prob = new double [ a + 1 ] ;
    prob [ 0 ] = 1 ;
    for ( int i = 0 ;
    i < a ;
    i ++ ) {
      prob [ i + 1 ] = prob [ i ] * ( in . nextDouble ( ) ) ;
    }
    double exp2 = prob [ a ] * ( b - a + 1 ) + ( 1 - prob [ a ] ) * ( 2 * b - a + 2 ) ;
    if ( exp2 < exp ) exp = exp2 ;
    exp2 = 0 ;
    for ( int i = 0 ;
    i < a ;
    i ++ ) {
      exp2 = prob [ i ] * ( 2 * ( a - i ) + ( b - a ) + 1 ) + ( 1 - prob [ i ] ) * ( ( 2 * ( a - i ) + ( b - a ) + 1 ) + b + 1 ) ;
      if ( exp2 < exp ) exp = exp2 ;
    }
    System . out . printf ( "Case #" + _ + ": %.6f\n" , exp ) ;
  }
}

public static void main ( String [ ] args ) { Scanner in = new Scanner ( System . in ) ; int inputs = in . nextInt ( ) ; Q : for ( int _ = 1 ; _ <= inputs ; _ ++ ) { int a = in . nextInt ( ) ; int b = in . nextInt ( ) ; double exp = 2 + b ; double [ ] prob = new double [ a + 1 ] ; prob [ 0 ] = 1 ; for ( int i = 0 ; i < a ; i ++ ) { prob [ i + 1 ] = prob [ i ] * ( in . nextDouble ( ) ) ; } double exp2 = prob [ a ] * ( b - a + 1 ) + ( 1 - prob [ a ] ) * ( 2 * b - a + 2 ) ; if ( exp2 < exp ) exp = exp2 ; exp2 = 0 ; for ( int i = 0 ; i < a ; i ++ ) { exp2 = prob [ i ] * ( 2 * ( a - i ) + ( b - a ) + 1 ) + ( 1 - prob [ i ] ) * ( ( 2 * ( a - i ) + ( b - a ) + 1 ) + b + 1 ) ; if ( exp2 < exp ) exp = exp2 ; } System . out . printf ( " Case ▁ # " + _ + " : ▁ % .6f \n " , exp ) ; } }
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