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Iterative and recursive approaches are two different techniques used in problem solving and programming to implement algorithms and achieve desired solutions. The main difference lies in how the problem is solved and the control flow of the program. In an iterative approach, a loop structure is used to repeatedly execute a block of code until a certain condition is met. This method relies on constructs like `for`, `while`, or `do-while` loops, where the state of the computation is explicitly maintained using variables. Iteration is generally considered more memory-efficient because it does not require additional function call overheads, and it is easier to trace since it follows a linear execution path. In contrast, the recursive approach solves problems by breaking them into smaller sub-problems of the same type, where a function calls itself until it reaches a base case. This method is elegant and closer to mathematical definitions, but it consumes more memory due to the overhead of maintaining multiple function call stacks, and may lead to stack overflow for __________ _____ ____ _________ __________ ___ _____ _________ _________ ____ __________ ___.
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