Here is an unsuccessful attempt to define take using fold-natural:
The idea is that the recursive procedure that fold-natural constructs returns two lists each time it is invoked, specifically, a “result list” of elements that have been taken from the beginning of ls, and a “remainder list” of elements of ls that have not yet been examined. When count is 0, the base procedure generates the starting values: an empty result list, and ls as the remainder list. When count is positive, it indicates the number of times that we want to transfer an element from the remainder list to the result list. The step procedure performs one such transfer.
Test this definition and determine how the procedure it defines differs in behavior from the take procedure defined in the text (using unfold-list). Diagnose the flaw in the plan and suggest a possible remedy.
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