2) Consider the following recursive function, for which again, we can assume the parameters to be non-negative integers. This function computes the combinations of k out of n objects using Pascal's triangle formula. int combinations (int k, int n) { if (k>n) return 0; else if (n == k || k == 0) return 1; else return combinations(k-1, n-1) + combinations(k, n-1); How many nodes does the runtime stack contain at the most for the function call above, not including the main? a) Draw the recursion tree for computing combinations (4, 7). b) c) How many repeated function calls can you observe in the tree? Give an example. Is this an indication that the function is inefficient?
2) Consider the following recursive function, for which again, we can assume the parameters to be non-negative integers. This function computes the combinations of k out of n objects using Pascal's triangle formula. int combinations (int k, int n) { if (k>n) return 0; else if (n == k || k == 0) return 1; else return combinations(k-1, n-1) + combinations(k, n-1); How many nodes does the runtime stack contain at the most for the function call above, not including the main? a) Draw the recursion tree for computing combinations (4, 7). b) c) How many repeated function calls can you observe in the tree? Give an example. Is this an indication that the function is inefficient?
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 8SA
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Question
Solve the questions on recursive function;
Transcribed Image Text:2)
Consider the following recursive function, for which again, we can assume the
parameters to be non-negative integers. This function computes the combinations of
k out of n objects using Pascal's triangle formula.
int combinations (int k, int n)
{
if (k>n)
return 0;
else if (n == k || k == 0)
return 1;
else
return combinations(k-1, n-1) + combinations(k, n-1);
How many nodes does the runtime stack contain at the most for the function call above,
not including the main?
a)
Draw the recursion tree for computing combinations (4, 7).
b)
c)
How many repeated function calls can you observe in the tree? Give an example. Is this
an indication that the function is inefficient?
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