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Imagine you are reading in a stream of integers. Periodically, you wish to be able to look up the rank of a number x (the number of values less than or equal to x).  Design the data structures and algorithms to support these operations. That is, design an algorithm track (int x), which is used when each number is generated,

Imagine you are reading in a stream of integers. Periodically, you wish to be able to look up the rank of a number x (the number of values less than or equal to x).  Design the data structures and algorithms to support these operations. That is, design an algorithm track (int x), which is used when each number is generated,

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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Imagine you are reading in a stream of integers. Periodically, you wish to be able

to look up the rank of a number x (the number of values less than or equal to x). 

Design the data structures and algorithms to support these operations. That is,

design an algorithm track (int x), which is used when each number is generated,

and an algorithm getRankOfNumber(int x), which returns the number of values

less than or equal to x (not including x itself). track (int x) and getRank(int x)

operations can be interleaved.

 

Example

Stream(in order of appearance): 5, 1, 4, 4, 5, 9, 7, 13, 3

getRankOfNumber(l) = 0

getRankOfNumber(3) = 1

getRankOfNumber(4) = 3

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