Analyze number of recursive calls in Karatsuba for n-digit input
Analyze the analyze number of recursive calls in karatsuba for n-digit input.
Examples
Input:"test_input_1"
Output:"output_1"
Input:"test_input_2"
Output:"output_2"
Hints
Recall that Karatsuba's algorithm divides the input into two halves, leading to a recursive structure. How does this division affect the number of recursive calls?
The recurrence relation for Karatsuba is T(n) = 3T(n/2) + O(n). How does this relate to the number of recursive calls made?
Solve the recurrence relation T(n) = 3T(n/2) + O(n) to determine the exact number of recursive calls for an n-digit input.
Analyze number of recursive calls in Karatsuba for n-digit input
Analyze the analyze number of recursive calls in karatsuba for n-digit input.