(1) Consider the following pseudocode of a function which takes an integer n ≥0 as input. Function foo(n) if n == 0 then Return; end for i=0 to n - 1 do | Print '*'; end foo(n-1); Let T(n) be the number of times the above function prints a star (*) when called with input n ≥ 0. What is T(n) exactly, in terms of only n (and not values like T(n-1) or T(n-2))? Prove your statement.

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
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(1) Consider the following pseudocode of a function which takes an integer n ≥ 0 as input.
Function foo(n)
if n=0 then
| Return;
end
for i=0 to n - 1 do
Print "*¹;
end
foo(n-1);
Let T(n) be the number of times the above function prints a star (*) when called with input n ≥ 0.
What is T(n) exactly, in terms of only n (and not values like T(n-1) or T(n-2))? Prove your statement.
Transcribed Image Text:(1) Consider the following pseudocode of a function which takes an integer n ≥ 0 as input. Function foo(n) if n=0 then | Return; end for i=0 to n - 1 do Print "*¹; end foo(n-1); Let T(n) be the number of times the above function prints a star (*) when called with input n ≥ 0. What is T(n) exactly, in terms of only n (and not values like T(n-1) or T(n-2))? Prove your statement.
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