Let n be a positive integer and let MaxCrossing(n) be a function that returns the maximum number of line crossings that you can create by drawing n straight lines. Write down a recursive formula for MaxCrossing(n) and analyze the time complexity of the corresponding recursive algorithm. You must write a formal recursive formula including the base case and general recursive step. Note: if n=1, there is 0 crossing, if n = 2, there is 1 crossing, if n = 3, there are 3 crossings (not only 2) if n = 4, there are 6 crossings (not only 3) if n = 5, there are 10 crossings, etc.

Let n be a positive integer and let MaxCrossing(n) be a function that returns the maximum number of line crossings that you can create by drawing n straight lines. Write down a recursive formula for MaxCrossing(n) and analyze the time complexity of the corresponding recursive algorithm. You must write a formal recursive formula including the base case and general recursive step. Note: if n=1, there is 0 crossing, if n = 2, there is 1 crossing, if n = 3, there are 3 crossings (not only 2) if n = 4, there are 6 crossings (not only 3) if n = 5, there are 10 crossings, etc.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter15: Recursion

Section: Chapter Questions

Problem 17PE

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