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Consider the function, f(n), defined by the following code int f(int n) {     int r = 0;     if ( n % 2 == 0 ) return 1; // when n is even     while ( n > 1 ) {            n = n – 3;            r++; }      return r; } From the definitions of big-Theta and little-oh: Prove or disprove that f(n) is Θ ( n )       2. Prove or disprove that f(n) is o ( n^2 )

Consider the function, f(n), defined by the following code int f(int n) {     int r = 0;     if ( n % 2 == 0 ) return 1; // when n is even     while ( n > 1 ) {            n = n – 3;            r++; }      return r; } From the definitions of big-Theta and little-oh: Prove or disprove that f(n) is Θ ( n )       2. Prove or disprove that f(n) is o ( n^2 )

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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Consider the function, f(n), defined by the following code

int f(int n) {

    int r = 0;

    if ( n % 2 == 0 ) return 1; // when n is even

    while ( n > 1 ) {

           n = n – 3;

           r++; }

     return r;

}

From the definitions of big-Theta and little-oh:

  1. Prove or disprove that f(n) is Θ ( n )

      2. Prove or disprove that f(n) is o ( n^2 )

( note: function f(n) as defined by the code, that is, the return value, and is not asking about the runtime of the code.)

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