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What is the space complexity of the recursive implementation used to find the nth fibonacci term? O(1)O(n) O(n2) O(n3)

Question

What is the space complexity of the recursive implementation used to find the nth fibonacci term? O(1)O(n) O(n2) O(n3)

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Solution

The space complexity of the recursive implementation used to find the nth Fibonacci term is O(n). This is because each function call is added to the call stack, and in the worst case scenario, if we are finding the nth Fibonacci number, there will be n function calls, hence n items in the stack. Therefore, the space complexity is O(n).

Similar Questions

What is the time complexity of this function / algorithm?int Fibonacci(int number){ if (number <= 1) return number; return Fibonacci(number - 2) + Fibonacci(number - 1);}O(n)O(1)O(log(n))O(nlog(n))O(2^n)O(n!)O(n^2)

Consider the recursive implementation to find the nth fibonacci number:int fibo(int n) if n <= 1 return n return __________ Which line would make the implementation complete?  fibo(n) + fibo(n) fibo(n) + fibo(n – 1)  fibo(n – 1) + fibo(n + 1) fibo(n – 1) + fibo(n – 2)

Suppose we find the 8th term using the recursive implementation. The arguments passed to the function calls will be as follows: fibonacci(8)fibonacci(7) + fibonacci(6)fibonacci(6) + fibonacci(5) + fibonacci(5) + fibonacci(4)fibonacci(5) + fibonacci(4) + fibonacci(4) + fibonacci(3) + fibonacci(4)+ fibonacci(3) + fibonacci(3) + fibonacci(2)::: Which property is shown by the above function calls? Memoization Optimal substructure Overlapping subproblems Greedy

The following sequence is a fibonacci sequence:0, 1, 1, 2, 3, 5, 8, 13, 21,…..Which technique can be used to get the nth fibonacci term? Recursion Dynamic programming  A single for loop  Recursion, Dynamic Programming, For loops

For computing Fibonacci numbers, the naive recursive algorithm takes time which in the worst-case is a.Linear b.Quadraticc.Logarithmicd.Exponential

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