Invitation to Computer Science 8th Edition

Published by Cengage Learning
ISBN 10: 1337561916
ISBN 13: 978-1-33756-191-4

Chapter 3 - Exercises - Page 143: 17a

Answer

\begin{array}{l}{\text { If the original list has n elements, the mergeSort tree will have log } n \text { elements. }} \\ {\text { Because the list can be divided into two lists of } n / 2, \text { and then } 4 \text { lists of } n / 4} \\ {\text { and so on, we have } 2^{\log n}=n \text { lists of size } \frac{n}{2^{\log n}}=1 \text { element. }}\end{array}

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