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The following algorithm construct a sequence of positive whole numbers, which demonstrates the famous Collatz's conjecture: starting from any positive whole number, the sequence will eventually go down to 1.

The following algorithm construct a sequence of positive whole numbers, which demonstrates the famous Collatz's conjecture: starting from any positive whole number, the sequence will eventually go down to 1.

Database System Concepts
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
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QUESTION 8 The following algorithm construct a sequence of positive whole numbers, which demonstrates the famous Collatz's conjecture: starting from any positive whole number, the sequence will eventually go down to 1. 1. input: positive integer x 2. i+0 3. repeat 3.1. i+i+1 3.2. if x is odd then 3.2.1. x (3 x x) + 1 else 3.2.2. x x+ 2 until x = 1 4. output i By tracing the algorithm, how many times does the algorithm perform Step 3.2.1. if the input is set to x = 6?
Transcribed Image Text:QUESTION 8 The following algorithm construct a sequence of positive whole numbers, which demonstrates the famous Collatz's conjecture: starting from any positive whole number, the sequence will eventually go down to 1. 1. input: positive integer x 2. i+0 3. repeat 3.1. i+i+1 3.2. if x is odd then 3.2.1. x (3 x x) + 1 else 3.2.2. x x+ 2 until x = 1 4. output i By tracing the algorithm, how many times does the algorithm perform Step 3.2.1. if the input is set to x = 6?
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