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Prove that the time complexity for the following code is nloglogn. void sieveOfEratosthenes(int n){       boolean prime[] = new boolean[n+1];       for(int i=0;i

Prove that the time complexity for the following code is nloglogn. void sieveOfEratosthenes(int n){       boolean prime[] = new boolean[n+1];       for(int i=0;i

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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Prove that the time complexity for the following code is nloglogn.

void sieveOfEratosthenes(int n){
      boolean prime[] = new boolean[n+1];
      for(int i=0;i<n;i++)
           prime[i] = true;
     for(int p = 2; p<=sqrt(n); p++){
          // If prime[p] is not changed, then it is a prime//

          if(prime[p] == true){
               // Update all multiples of p
              for(int i = p*p; i <= n; i += p)
              prime[i] = false;

              }
        }
      // Print all prime numbers
       for(int i = 2; i <= n; i++){
           if(prime[i] == true)
           System.out.print(i + " ");

       }

}

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