Considerthealgorithmforthesortingproblemthatsortsanarraybycounting, for each of its elements, the number of smaller elements and then uses this information to put the element in its appropriate position in the sorted array: ALGORITHM ComparisonCountingSort$($A$[0..$n$1])//$Sorts an array by comparison counting $//$Input: Array A$[0..$n $1]$of orderable values $//$Output: Array S$[0..$n $1]$of A$$s elements sorted $//$ in nondecreasing order for i $0$ton$1$do Count$[$i$]0$ for i $0$ton$2$do for j $$i $+1$ton$1$do if A$[$i$]$