Which of the following implementations of Catalan numbers has the largest space complexity(Don’t consider the stack space)?

All have equal space complexities

The recursive formula for Catalan number is given by Cn = ∑Ci*C(n-i).

Consider the following dynamic programming implementation for Catalan numbers:

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1.	Which of the following implementations of Catalan numbers has the largest space complexity(Don’t consider the stack space)?
A.	Dynamic programming
B.	Binomial coefficients
C.	Recursion
D.	All have equal space complexities
Answer» B. Binomial coefficients

Discussion

2.	The recursive formula for Catalan number is given by Cn = ∑Ci*C(n-i).
A.	Consider the following dynamic programming implementation for Catalan numbers:
Answer» D.

Discussion