CS502 Assignment no 1 Spring 2021 solution file

                  

        CS502-Assignment no 1 Spring 2021 solution file

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Question                                                                                                                               (Marks:  10)

Suppose that one of the largest commercial bank branch in UAE has recently experienced a significant distress due to covid 19.  A huge No. of account holders withdraws the payment from the bank. Now manager want to check the total number of accounts those have less than 1000$. 

 

 

A)Write only Pseudocode to check the total number of accounts, who have less than 1000$ using array list.

 

SOLUTION

 

Pseudo Code

arraylist  ()

For I=1 to no of accounts

If amount <1000s

      arraylist  (account_no)

Return false

 

 

B)After writing Pseudocode calculate the worst-case time complexity T(n).

 

Solution part B

Time Complexity

C1	1
C2	N+1
C3	n
C4	N/2
C5	1

Grand total=c1+c2(n+1)+c3(n)+c4(n/2)+c5

  =n(c3+c3+c4(1/2))+c1+c2+c5

  =remove lowest order terns and constant

=O(n)

   Question No 2                                                                                                                            (Marks:  10)

A prime number is a number that can only be divided by itself and 1. Using the following code, we can check whether the number is prime or not. Your task is to find the time complexity of the following code with respect to worst case.

 

Int arr[5],j,x,y,z;

For (x=0;x<5;x++)

{

       Cout’’Enter the no”endl;

       Cin>>arr[x];

}

For (x=0;x<5;x++)

      {

             Y=0;

For(j=2;j<arr[x];j++)

{

Z=arr[x]%j;

If(z==0)

{

Y=1;

Break;

}

}

If(y==0)

Coutarr[x]endl;

}

}

 

 

Solution

 

C1	1
C2	N+1
C3	n
C4	n
C5	N+1
C6	n
C7	N(n+1)/2
C8
C9
C10	n
C11	n
C12	n
C3	N/2

 

Grand total=c1+c2n+c3n+c4n+c5n+c5+c6n+c7/2+c7n/2

+c8/2+c9/2+c10n+c11n+c11n+c12n+c13n/2

 

=O()