摘要
把原问题推广到任意整数下的一般形式 ,并建立了一般形式下的一种新的数学模型 ,利用模 p整数加法群的性质 ,简洁地证明了一般形式下的结论 ,同时原问题作为一般形式的特例也得到了证明 .
The game Bulgarian Solitaire is a model for some problems in the theory of partition of integers and is one of the famous combinatorial problems which have not been solved. In this paper, the problem is extended to a general form and the according conclusions are laconically proved by applying the properties of Z p, and the primary problem, as a special case of the general form, is also proved.