What is the Java interface and how do I code it? An example of such a polynomial is f(x)=3x- 5x+ 2x – 4. This polynomial has four terms.The degree of a polynomial is defined as the highest power of the variable in a term. In the aboveexample, the degree of the polynomial is 4. The polynomials we deal with have only positive, integralpowers. The coefficients of our polynomials are also integral numbers.Two polynomials are the same if they contain the same terms.Several algebraic operations are possible with polynomials. The simplest one is evaluating thepolynomial for a specific value of the variable. For example, for a polynomial f(x)=3x- 5x+ 2x – 4,its value at x=2.5 is defined as: £(2.5) = 3 * (2.5)- 5 * (2.5)+ 2 * (2.5) – 4 which is 40.0625.Polynomials can be added together to create a new polynomial. The addition is performed bycombining all the terms and adding the coefficients of the terms with the same power. Forexample 3x- 5x+ 2x – 4 + 2x + 2x + 4 = 3x – 3x+ 2x+ 2x.The degree of the sum is the maximum of the degrees of the two polynomials.2mWbat to doDesign an interface Polynomial that defines the above operations. This is your polynomial abstractdata type and specifies the contract Polynomial (s) will adhere to. Specifically this interfaceshould have the following method signatures:A method addTerm that takes a coefficient and a power (both integral numbers) and adds theresulting term to the polynomial. (This will enable you to build a polynomial term-by-term.) Itshould throw an T1legalaraumentExsertioa if a negative power is passed to it.A method remove Term that takes a power and removes any and all terms in the polynomial withthat power.A method getRearse that returns the degree of this polynomial.A method getCoefficient that takes a power and returns the coefficient for the term with thatpower.A method evaluate that takes a double-precision decimal number and returns a double-precision result.A method add that takes another Polynomial object and returns the polynomial obtained byadding the two polynomials. Any implementation should ensure that this method does notmutate either polynomial. The implementation may assume that the given Polynomial is the of thesame concrete class as this object; if it is a different class, the method may throwNow implement this interface in a class BolyAAuialuel. Beyond implementingthe Polynomial interface, this implementation should have the following features/obey theseconstraints:This class should store the polynomial using theAa linked list with nodes. This representationmust be implemented by you (i.e. you are not allowed to use existing List classes in Java).

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Description: What is the Java interface and how do I code it? An example of such a polynomial is f(x)=3x- 5x+ 2x – 4. This polynomial has four terms.The degree of a polynomial is defined as the highest power of the variable in a term. In the aboveexample, the deg

The interface in Java is a system to accomplish deliberation. There can be just theoretical…

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What is the Java interface and how do I code it?

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter10: Classes And Data Abstraction

Section: Chapter Questions

Problem 19PE

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If the first number in a sequence is a positive integer, x Let ao= x, an is defined as follows if an is even, then an+1 = an/2 if an is odd, then an+1 =3 *an+ 1 Then there exists an integer k, such that ak =1 For example, if: 75, then k = 14 and the numbers in the sequence are: 75, 226, 113, 340, 170, 85, 256, 128, 64, 32, 16, 8, 4, 2, 1. The largest number in the sequence is 340 and it is a position 4 in the sequence (assuming 75 is at position 1) Design and implement a complete C++ program that will • read a series of integers (greater than 0) from a file and for each integer display (to the screen) − the integer − the number of steps it takes to reach 1 − the largest value in the sequence and its position
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Consider the problem of making change for n cents using the fewest number of coins. Assume that we live in a country where coins come in k dierent denominations c1, c2, . . . , ck, such that the coin values are positive integers, k ≥ 1, and c1 = 1, i.e., there are pennies, so there is a solution for every value of n. For example, in case of the US coins, k = 4, c1 = 1, c2 = 5, c3 = 10, c4 = 25, i.e., there are pennies, nickels, dimes, and quarters. To give optimal change in the US for n cents, it is sufficient to pick as many quarters as possible, then as many dimes as possible, then as many nickels as possible, and nally give the rest in pennies. Design a bottom-up (non-recursive) O(nk)-time algorithm that makes change for any set of k different coin denominations. Write down the pseudocode and analyze its running time. Argue why your choice of the array and the order in which you ll in the values is the correct one.
Consider the problem of making change for n cents using the fewest number of coins. Assume that we live in a country where coins come in k dierent denominations c1, c2, . . . , ck, such that the coin values are positive integers, k ≥ 1, and c1 = 1, i.e., there are pennies, so there is a solution for every value of n. For example, in case of the US coins, k = 4, c1 = 1, c2 = 5, c3 = 10, c4 = 25, i.e., there are pennies, nickels, dimes, and quarters. To give optimal change in the US for n cents, it is sufficient to pick as many quarters as possible, then as many dimes as possible, then as many nickels as possible, and nally give the rest in pennies. Prove that the coin changing problem exhibits optimal substructure. Design a recursive backtracking (brute-force) algorithm that returns the minimum number of coins needed to make change for n cents for any set of k different coin denominations. Write down the pseudocode and prove that your algorithm is correct.
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