Reference no: EM131252263
For any integer n ≥ 1, a permutation a1, a2, . . . , an of the set {1, 2, . . . , n} is called awesome, if the following condition holds:• For every i with 1 ≤ i ≤ n, the element ai in the permutation belongs to the set{i - 1, i, i + 1}.For example, for n = 5, the permutation 2, 1, 3, 5, 4 is awesome, whereas 2, 1, 5, 3, 4 is not anawesome permutation.Let Pn denote the number of awesome permutations of the set {1, 2, . . . , n}.• Determine P1, P2, and P3.• Determine the value of Pn, i.e., express Pn in terms of numbers that we have seen inclass. Justify your answer.Hint: Derive a recurrence relation. What are the possible values for the last element an in an awesome permutation?
|
Programming exercise-reverse the command line
: Write a C program that will print out each command line argument on a separate line. However,you should print them out in reverse order. That is, the last command line argument is printedfirst. Do not have an off-by-one error. Make sure that your ..
|
|
How many positive divisors does n have
: In how many ways can the elements of [n] be permuted so that the sum of every two consecutive elements in the permutation is odd?
|
|
Organization confidential information
: Employees can compromise an organization's confidential information, deliberately or inadvertently, through their network and Internet usage. Such concerns prompt companies to introduce security monitoring of their employees. However, they have to..
|
|
Compute the nash equilibrium of the game
: ind firm i's best-response function as a function of Q-i . Graph this function - Compute the Nash equilibrium of this game. Report the equilibrium quantities, price, and total output.
|
|
Determine the value of pn
: • Determine P1, P2, and P3.• Determine the value of Pn, i.e., express Pn in terms of numbers that we have seen inclass. Justify your answer.Hint: Derive a recurrence relation. What are the possible values for the last element an in an awesome perm..
|
|
Find the nash equilibrium of the market game
: Find the Nash equilibrium of this market game. - Is the notion of a best response well defined for every belief that a firm could hold? Explain.
|
|
Program you must expose the data member
: To expose a data member to a program you must expose the data member to which section of the class?
|
|
Behind service integration and management
: What theories are behind service integration and management that I can use as part of my literature part in masters thesis? Please also provide some reference books, thanks!
|
|
Interacts with an operating system
: GUIs play an important role on how an end-user interacts with an operating system. Describe an instance where you did not have an intuitive experience with a GUI. Recommend the key areas that could have been improved. If you have only had intuitiv..
|