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Initially the array has a block of memory that can store at mostk entries, where k is a positive constant. when we insert into a full array, we allocate a new memory block whose size is the size of the current memory block plus a fixed constant value c. We then copy all the elements from the current memory block to the newly allocated memory block, deallocate the old memory block and insert the new element into the new block. The new memory block will be used to store the content of the array afterwards, until we attempt to insert into a full array again. Prove that performing a series of n insertions into an initially empty resizable array takes O(n^2) time, no matter what constant value we assign to c.

Initially the array has a block of memory that can store at mostk entries, where k is a positive constant. when we insert into a full array, we allocate a new memory block whose size is the size of the current memory block plus a fixed constant value c. We then copy all the elements from the current memory block to the newly allocated memory block, deallocate the old memory block and insert the new element into the new block. The new memory block will be used to store the content of the array afterwards, until we attempt to insert into a full array again. Prove that performing a series of n insertions into an initially empty resizable array takes O(n^2) time, no matter what constant value we assign to c.

Computer Networking: A Top-Down Approach (7th Edition)
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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Initially the array has a block of memory that can store at mostk entries, where k is a positive constant. when we insert into a full array, we allocate a new memory block whose size is the size of the current memory block plus a fixed constant value c. We then copy all the elements from the current memory block to the newly allocated memory block, deallocate the old memory block and insert the new element into the new block. The new memory block will be used to store the content of the array afterwards, until we attempt to insert into a full array again. Prove that performing a series of n insertions into an initially empty resizable array takes O(n^2) time, no matter what constant value we assign to c.
Transcribed Image Text:Initially the array has a block of memory that can store at mostk entries, where k is a positive constant. when we insert into a full array, we allocate a new memory block whose size is the size of the current memory block plus a fixed constant value c. We then copy all the elements from the current memory block to the newly allocated memory block, deallocate the old memory block and insert the new element into the new block. The new memory block will be used to store the content of the array afterwards, until we attempt to insert into a full array again. Prove that performing a series of n insertions into an initially empty resizable array takes O(n^2) time, no matter what constant value we assign to c.
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