public static void main ( String [ ] args ) throws IOException {
  BufferedReader br = new BufferedReader ( new InputStreamReader ( in ) ) ;
  int T = parseInt ( br . readLine ( ) ) ;
  for ( int t = 0 ;
  t ++ < T ;
  ) {
    String [ ] line = br . readLine ( ) . split ( " " ) ;
    int A = parseInt ( line [ 0 ] ) , B = parseInt ( line [ 1 ] ) ;
    line = br . readLine ( ) . split ( " " ) ;
    double [ ] P = new double [ A + 1 ] ;
    P [ 0 ] = 1 ;
    for ( int a = 0 ;
    a < A ;
    a ++ ) P [ a + 1 ] = parseDouble ( line [ a ] ) * P [ a ] ;
    double best = 2 + B ;
    for ( int a = 0 ;
    a <= A ;
    a ++ ) best = min ( best , 2 * a + ( B - A ) + 1 + ( 1 - P [ A - a ] ) * ( B + 1 ) ) ;
    out . println ( "Case #" + t + ": " + best ) ;
  }
}

public static void main ( String [ ] args ) throws IOException { BufferedReader br = new BufferedReader ( new InputStreamReader ( in ) ) ; int T = parseInt ( br . readLine ( ) ) ; for ( int t = 0 ; t ++ < T ; ) { String [ ] line = br . readLine ( ) . split ( " ▁ " ) ; int A = parseInt ( line [ 0 ] ) , B = parseInt ( line [ 1 ] ) ; line = br . readLine ( ) . split ( " ▁ " ) ; double [ ] P = new double [ A + 1 ] ; P [ 0 ] = 1 ; for ( int a = 0 ; a < A ; a ++ ) P [ a + 1 ] = parseDouble ( line [ a ] ) * P [ a ] ; double best = 2 + B ; for ( int a = 0 ; a <= A ; a ++ ) best = min ( best , 2 * a + ( B - A ) + 1 + ( 1 - P [ A - a ] ) * ( B + 1 ) ) ; out . println ( " Case ▁ # " + t + " : ▁ " + best ) ; } }
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