Use the divide and conquer technique to develop an efficient algorithm that finds the index of the turning point in a sequence of at least three integers. The sequence consists of a decreasing subsequence of at least one integer and is followed by a increasing subsequence of at least one integer. For example, 40 30 15 10 7 8 20 25 3 The integer 7 is the turning point and its index

In mathematics and computer science, a set is a collection in which order does not matter and there are no duplicates. in this problem, we are going to to define a class which wil allow us to create an object to represent a set of integers. you will write a program set.java to define the class set. each instance of the class set will be an object representing a set of integers.

[a] create a class called “cycle” which has two instance integer variables as properties, “numberofwheels” and “weight.” create a constructor with two parameters, using the same variable names in the parameter list. assign each variable to numberofwheels” and “weight” respectively. write a separate application to test the class and display its properties. note: do not change the names of the instance variables or the variables listed in the constructor’s parameter list. [b] edit your class cycle by adding a default constructor which will assign the default values of 100 to represent the numberofwheels, and 1000 to represent the weight, by invoking a call to the other constructor. modify your application created in [a] to test the class.

Asequential circuit contains a register of four flip-flops. initially a binary number n (0000 ≤ n ≤ 1100) is stored in the flip-flops. after a single clock pulse is applied to the circuit, the register should contain n + 0011. in other words, the function of the sequential circuit is to add 3 to the contents of a 4-bit register. design and implement this circuit using j-k flip-flops.