Question (2): The ackermann function is one of those very difficult functions to compute and it's a prime example of non-primitive recursive functions, meaning it can't be de-recursed and rewritten into a loop (Check this video for a fun watch). The naive recursive implementation suffers problems starting with ack(4, 1) and at the time of writing on a machine with a 4.2GHZ base CPU clock speed and 3200GHZ 32GBS of DDR3 RAM is not computable without further optimizations or settings applied. The ackermann function is described using the equation below. (n+1 ack(m,n)={ ack(m-1,1) m=0 m>0 n=0 lack(m-1,ack(m,n–1)) m>0 n>0 You are required to 1. Describe why the base Ackermann function is so heavy to compute 2. Write an optimization to make it's calculation more efficient and possible for arguments starting Ack(4, 1) and above Inputs: 2 integers m & n where m & n >= 0 Output: ack(m, n) Sample Inputs: 33 41 Sample Outputs: 61 65533 Note: In the case you're not able to optimize it please also submit a file with the naive implementation describing at the very least the first step of the solution where you describe the problem with the Ackermann function itself.

Question (2): The ackermann function is one of those very difficult functions to compute and it's a prime example of non-primitive recursive functions, meaning it can't be de-recursed and rewritten into a loop (Check this video for a fun watch). The naive recursive implementation suffers problems starting with ack(4, 1) and at the time of writing on a machine with a 4.2GHZ base CPU clock speed and 3200GHZ 32GBS of DDR3 RAM is not computable without further optimizations or settings applied. The ackermann function is described using the equation below. (n+1 ack(m,n)={ ack(m-1,1) m=0 m>0 n=0 lack(m-1,ack(m,n–1)) m>0 n>0 You are required to 1. Describe why the base Ackermann function is so heavy to compute 2. Write an optimization to make it's calculation more efficient and possible for arguments starting Ack(4, 1) and above Inputs: 2 integers m & n where m & n >= 0 Output: ack(m, n) Sample Inputs: 33 41 Sample Outputs: 61 65533 Note: In the case you're not able to optimize it please also submit a file with the naive implementation describing at the very least the first step of the solution where you describe the problem with the Ackermann function itself.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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