Write a function two-subsets in Scheme that takes a list L of positive integers (duplicates are possible, zero is not considered a positive integer) and some auxiliary parameters of your choice. The function two-subsets returns #t if the list L contains two subsets with equal sums of elements and with equal numbers of elements. Otherwise (if two subsets satisfying the condition above do not exist), the function returns #f. Assume that the list L contains at least two integers.
Note that here, it is not required that the whole list be split into two subsets. In HW3, some elements of the list could be left out from the two subsets. Therefore, every list, which is a solution to HW2 is also be a solution to HW3. However, there are solutions to HW3 that are not solutions to HW2.
It is up to you to choose the auxiliary parameters that two-subsets takes. All auxiliary parameters must be numeric (not lists) and should have initial values set to zero. For example, if L is ‘(1 2 3) and if you decide to use two additional auxiliary parameters, then two-subsets must be called as follows:
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