When carrying out a liquid-phase reaction by using a heterogeneous catalyst, the separation of the heterogeneous catalyst and the reaction liquid is carried out certainly and effectively. In a first embodiment, and acrylic candle body having a 45 degree reflector is mounted on top of a LED source to direct light along the body of the light and outwardly as directed by the reflector. The second partial encryption unit is configured to repeat processing to calculate -th intermediate data while j is equal to from 1 to N\u22121. The method includes determining that the popularity difference exceeds a threshold. The method and apparatus allow for many variants, all derived from the same general scheme, and which allow different levels of protection against faults.