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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)

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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)

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Solution

The time complexity of the given Fibonacci function is O(2^n). This is because each function call branches into two new calls (for number-2 and number-1), creating a binary tree of function calls. The depth of this tree is 'n', and since each level of the tree has twice as many calls as the level above, the total number of function calls is 2^n.

Similar Questions

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

What is the time complexity of this function / algorithm?void f(int n){ int i; for (i = 0; i < n; i++) { printf("[%d]\n", i); }}O(n)O(1)O(log(n))O(nlog(n))O(2^n)O(n!)O(n^2)

Question #30What is the time complexity of searching for an element - worst case - in a hash table with the implementation you used during the previous Hash Table C project (chaining)?O(n!)O(2^n)O(1)O(n)O(nlog(n))O(n^2)O(log(n))Question #31What 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(2^n)O(1)O(n)O(nlog(n))O(n^2)O(log(n))Question #32What is the time complexity of searching for an element in an unsorted Python 3 list of size n?O(n!)O(2^n)O(1)O(n)O(nlog(n))O(n^2)O(log(n))Question #33What is the time complexity of the “pop” operation onto a stack?O(n!)O(2^n)O(1)O(n)O(nlog(n))O(n^2)O(log(n))Question #34What is the time complexity of inserting after the nth element of a singly linked list? (Assuming you have a pointer to the node to insert)O(n!)O(2^n)O(1)O(n)O(nlog(n))O(n^2)O(log(n))Question #35What is the time complexity of this function / algorithm?void f(unsigned int n){ int i; int j; for (i = 0; i < n; i++) { for (j = 1; j < n; j = j * 2) { printf("[%d] [%d]\n", i, j); } }}O(n!)O(2^n)O(1)O(n)O(nlog(n))O(n^2)O(log(n))Question #36What is the time complexity of searching for an element in an unsorted array of size n?O(n!)O(2^n)O(1)O(n)O(nlog(n))O(n^2)O(log(n))Question #37What is the best case time complexity of insertion in a hash table with the implementation you used during the previous Hash Table C project (chaining)?O(n!)O(2^n)O(1)O(n)O(nlog(n))O(n^2)O(log(n))Question #38What is the best case time complexity searching for an element in a hash table with the implementation you used during the previous Hash Table C project (chaining)?O(n!)O(2^n)O(1)O(n)O(nlog(n))O(n^2)O(log(n))Question #39What is the time complexity of the “push” operation onto a stack?O(n!)O(2^n)O(1)O(n)O(nlog(n))O(n^2)O(log(n))Question #40What is the time complexity of this function / algorithm?def func(n): a=5 b=6 c=10 for i in range(n): for j in range(n): x = i * i y = j * j z = i * j for k in range(n): w = a*k + 45 v = b*b d = 33O(n!)O(2^n)O(1)O(n)O(nlog(n))O(n^2)O(log(n))Question #41What is the time complexity of removing at index n in an unsorted array?O(n!)O(2^n)O(1)O(n)O(nlog(n))O(n^2)O(log(n))Question #42What is the time complexity of inserting into an unsorted Python 3 list at index n?O(n!)O(2^n)O(1)O(n)O(nlog(n))O(n^2)O(log(n))Submit answers

What is the time complexity of this function / algorithm?foreach($numbers as $number){ echo $number;}O(n!)O(2^n)O(1)O(n)O(nlog(n))O(n^2)O(log(n))

What is the time complexity of this function / algorithm?var factorial = function(n) { if(n == 0) { return 1 } else { return n * factorial(n - 1); }}O(n)O(1)O(log(n))O(nlog(n))O(2^n)O(n!)O(n^2)

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