To analyze the time complexity, the video treats each node in the recursion tree as one unit of computation (one function call). The total execution cost of the algorithm is then evaluated by counting the total number of nodes in the tree, including both internal nodes and leaf nodes.
Conditions: The recursive algorithm can be clearly represented by a recursion tree.; The overhead of each function call (excluding recursive calls) is assumed to be constant.
To analyze the time complexity, the video treats each node in the recursion tree as one unit of computation (one function call). The total execution cost of the algorithm is then evaluated by counting the total number of nodes in the tree, including both internal nodes and leaf nodes.
Conditions: The recursive algorithm can be clearly represented by a recursion tree.; The overhead of each function call (excluding recursive calls) is assumed to be constant.
The video constructs a recursion tree by setting the target computation f(7) as the root node. It then recursively applies the formula f(n)=f(n−1)+f(n−2) to split each non-base-case node into two child nodes.
Conditions: The recurrence relation is f(n)=f(n−1)+f(n−2).; The base cases are f(1)=1 and f(2)=1.; The target computation is f(7).
The video constructs a recursion tree by setting the target computation f(7) as the root node. It then recursively applies the formula f(n)=f(n−1)+f(n−2) to split each non-base-case node into two child nodes.
Conditions: The recurrence relation is f(n)=f(n−1)+f(n−2).; The base cases are f(1)=1 and f(2)=1.; The target computation is f(7).