The following should alvways hold for a recursive method Recursive calls should
ID: 3743078 • Letter: T
Question
The following should alvways hold for a recursive method Recursive calls should always address smaller sub-problems for the recursion to terminate It should always have a base case i.e. he first statement is a conditional statement which has a returnnt Tail-recursive methods will always terminate (given infinite memory) The last statement of a recursive method should always be a recursive call to the method (tail-recusion) A smart compiler/run-time environment can reduce usage of stack space if a recursive method is tail- recursive Recursive calls should not address overlapping sub-problems A recursive call may never generate more than one recursive call for the recursion to terminateExplanation / Answer
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1. (check it)True. Because the recusion terminates when it reaches the base case and the base case is always answer to smaller subproblem.
2. True.It should always have a base case or else it won't terminate.
3. False.It would not terminate if it does not have a base case .Every recursive method will terminate if it has a base case and infinte memory and it does not matter if it is tail recursive.
4.True. In tail recursion we first calculate values for current recursive step and then give it to the next recursive step.Hence in it ,the last statment is should always be a recursive call to the method
5.True.in tail recursion ,The current stack unit is not required when you are about to execute the next recursive call . Hence a smart compiler/run time environment can reduce stack space in tail recursion
6.False. The dynamic programming algorithms use recursion to solve overlapping sub problems
7.False. There are lot of recursive algorithms that in which one recursive call generates multiple calls and still terminate.