There's more than one algorithms, the best one is the following:
F(n) = 1/sqrt(5) * (q1^n + q2^n)
where q1=(1+sqrt(5))/2, q2=(1-sqrt(5))/2
The algorithm will have both a constant time complexity and a constant space complexity: O(1)
time complexity is 2^57..and space complexity is 2^(n+1).
Time complexity and space complexity.
"Running Time" is essentially a synonym of "Time Complexity", although the latter is the more technical term. "Running Time" is confusing, since it sounds like it could mean "the time something takes to run", whereas Time Complexity unambiguously refers to the relationship between the time and the size of the input.
The complexity of an algorithm refers to the measurement of the resources it requires to execute, typically in terms of time and space. Time complexity evaluates how the execution time of an algorithm grows with the size of the input, often expressed using Big O notation. Space complexity, on the other hand, assesses the amount of memory the algorithm needs relative to the input size. Understanding these complexities helps in comparing algorithms and choosing the most efficient one for a given problem.
The space complexity of the Dijkstra algorithm is O(V), where V is the number of vertices in the graph.
The algorithm will have both a constant time complexity and a constant space complexity: O(1)
time complexity is 2^57..and space complexity is 2^(n+1).
The space complexity of the quicksort algorithm is O(log n) in the best and average cases, and O(n) in the worst case.
Time complexity and space complexity.
The complexity of the algorithm refers to how much time and space it needs to solve a problem. When dealing with a problem that has an exponential space requirement, the algorithm's complexity will also be exponential, meaning it will take a lot of time and memory to solve the problem.
The space complexity of the breadth-first search algorithm is O(V), where V is the number of vertices in the graph being traversed.
The space complexity of the quick sort algorithm is O(log n) in the best and average cases, and O(n) in the worst case.
The space complexity of the Quick Sort algorithm is O(log n) in the best and average cases, and O(n) in the worst case.
The constant extra space complexity of an algorithm refers to the amount of additional memory it requires to run, regardless of the input size. It is a measure of how much extra space the algorithm needs beyond the input data.
The space complexity of the Breadth-First Search (BFS) algorithm is O(V), where V is the number of vertices in the graph being traversed.
The space complexity of the Breadth-First Search (BFS) algorithm is O(V), where V is the number of vertices in the graph being traversed.