Problem (class ConsecutiveNumbers) Write a Java program that checks if a series of 10 numbers entered by the user in the ascending order are consecutive (in this case, print congrats message) or not (in this case, print the number of conflicts). Example 1: Number 1- 10 Number 2 - 12 Conflict: 10 & 12 are not consecutive. Number 3 - 14 Conflict: 12 & 14 are not consecutive. Number 4- 15 Number 5- 16 Number 6- 17 Number 7- 18 Number 8- 19 Number 9- 20 Number 10 - 30 Conflict: 20 & 30 are not consecutive. Unfortunately, you have 3 conflicts. Example 2: Number 1-1 Number 2- 2 Number 3- 3 Number 4- 4

Do we need to make iteration even if the team is one member

Not an exam. Just review for me. For each function f(n) below give an asymptoic upper bound using big-Oh notation. You should give the tighest bound (ie. smallest bound) possible and simplify the expression. Explain step by step how you your answers. Use signma notation to prove your answers if you can I attached the answers for question 3 and 4 for your reference so you can check your work but explain how you got those answers. I dont have the answer key for 1 so please try your best on that.

need help with part b, they are incorrect

Prove or disprove each of the following statements. To prove a statement, you should provide a formal proof that is based on the definitions of the order notations. To disprove a statement, you can either provide a counter example and explain it or provide a formal proof. All functions are positive functions. Ex.) f(n) (g(n)) ⇒ g(n) = O(f(n)) f(n) € (g(n)), for large values of n we have M1g(n) ≤ f(n) ≤ M2g(n) for some M1 and M2. This means we have f(n) ≤ g(n) ≤ f(n), which shows g(n) = (f(n)). a) f(n) o(g(n)) and f(n) & w(g(n)) ⇒ f(n) = O(g(n)) b) f(n) = (h(n)) and h(n) = (g(n)) ⇒ f(n) ΕΘ(1) g(n) c) f(n) (g(n)) ⇒ 2f(n) = (29(n))

Formally prove that on? + 10n + 10 = (n2) using the definition of 2(:).

Solve the recurrence relations below. Fill in the blanks for the closed form expression and rate of growth. n = 0 T(n) = { 1⁄2 (n ̧T(n − 1) + n2 + 2, n>0 Express final answers in simplest form. Closed form expression of T(n)= Rate of Growth: (

What is the right answer and please explain why