Every time I call remove‐from‐end on a dynamic array list it takes O(1) time, except if I’m using half the space or less. In that case, it takes O(n) because it will shrink the array (by making a new smaller array and copying all the elements to the smaller space). Determine and prove the runtime of this algorithm for removal‐from‐end is O(1) amortized. [Note: you may not “prove” it by saying “this is the same as X”, use more formal proof methods.]

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Every time I call remove‐from‐end on a dynamic array list it takes O(1) time, except if I’m using half the space or less. In that case, it takes O(n) because it will shrink the array (by making a new smaller array and copying all the elements to the smaller space). Determine and prove the runtime of this algorithm for removal‐from‐end is O(1) amortized. [Note: you may not “prove” it by saying “this is the same as X”, use more formal proof methods.]

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