1 the set of the algorithms whose

Question

1)    The set of the algorithms whose order is O (1) would run in the identical time.  True/False

2)    Determine the complexity of the following program into big O notation:

printMultiplicationTable(int max){

for(int i = 1 ; i <= max ; i + +)

{

for(int j = 1 ; j <= max ; j + +) cout << (i * j) << " " ; cout << endl ;

}  //for

3)   Assume the following program segment:

for (i = 1; i <= n; i *= 2)

{

j = 1;

}

Find out running time of the above program segment into big O notation?

 

4)   Prove that if f(n) = n² + 2n + 5 and g(n) = n² then f(n) = O (g(n)).

5)   How several times does the given for loop will run

for (i=1; i<= n; i*2)

k = k + 1;

end;