Sorting consists of the two operations of separating items and arranging them in order. The Check sort and the Rapid sort routines combine these operations into one by assigning the value of the quality of the item which will serve as the basis for the item's detection or distinction to an array variable index rather then assigning the value to a variable as its contents, cargo or payload. The representation of the value of the quality being sorted by an index establishes the difference between other sort routines and the Check sort and Rapid sort routines. The difference between the Check sort and the Rapid sort routine is that the Check sort is used to sort sets while the Rapid sort is used to sort multisets.