Question: Write the following function in OCAML Problem 3. The Fibonacci k-step numbers are a generalization of the Fibonacci and Tetranacci sequences, where F i =

Write the following function in OCAML

Problem 3. The Fibonacci k-step numbers are a generalization of the Fibonacci and Tetranacci sequences, where Fi = 0 for i 0, F1 = 1, F2 = 1, and for every j 3:

Fj = Fj1 + Fj2 + + Fjk,

i.e. Fj is the sum of the k previous numbers in the sequence. You will implement an OCaml function fib_k_step : int -> int -> int for computing these numbers efficiently.

(b) Implement an OCaml function fib_k_step : int -> int -> int, which accepts two integers n and k and, for a fixed k, computes in time linear in n the nth Fibonacci k-step number.2

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