If f = (log n)^2, g = n log n; what is the relationship between f and g? Choose all that applies.   a. g= O(f)   b. f = O(g)   c. g= Ω(f)   d. f = Ω(g)

n and n+1 are integers with the same number of positive divisions. Find the integers n from 1<n<107. For example, the positive divisors of 14 are 1, 2, 7, 14, and 15 are 1, 3, 5, 15. (P.s.: You have to done it by C++.)

10. Please just type the answer.

Use C language to write a program

Use & for •, v for V, > for Ɔ, and = for = What can you derive by applying De Morgan's (DM) to this formula: ~(N • E) Ɔ G (N v E) > G O (-N v -E) > G O (N & E) v G O (N & E) v G O (N v E) > G O (N & E) > G

Which function grows faster f(n) = log 2n or g(n) = n0.3log3n

x Bird(x)=Can- Fly(x) This universal quantifier used here implies that Oa. All reptiles cannot fly Ob All that flies is a Bird All Birds can fly Oc. All chicken are birds Od.

Write the following functions in ascending order of growth rate. That is, if function g(n) immediately follows function f(n) in your list, then it should be the case that f(n) = O(g(n)). fi (n) = 5" f2 (n)=lg(n5) f3 (n) = ( 2 ) 5 √n f4 (n) = n5 fs (n) = n! fe (n) = lg (n)

for i=1 to n/2: for j-i to n-i : for k=1 to j do print("hello") Let T(n) denote the number of times "hello" is printed as a function of n. 1- Find a function f(n) -> T(n)=0(f(n)) 2- Explain T(n) as three nested summations, and simplify them by step by step

In a row of seats, 1 represents a person sitting in that seat, and 0 represents that the seat is empty. There is at least one empty seat, and at least one person sitting. Alex wants to sit in the seat such that the distance between him and the closest person to him is maximized. Return that maximum distance to closest person. A. Example 1: i. Input: [1, 0, 0, 0, 1, 0, 1] ii. Output: 2 • Explanation: • If Alex sits in the second open seat (seats[2]), then the closest person has distance 2. • If Alex sits in any other open seat, the closest person has distance 1. • Thus, the maximum distance to the closest person is 2. NOTE: "using C++ code"