padovan string, C/C++ Programming

Assignment Help:


A Padovan string P(n) for a natural number n is defined as: P(0) = ‘X’ P(1) = ‘Y’ P(2) = ‘Z’ P(n) = P(n-2) + P(n-3), n>2 where + denotes string concatenation. For a string of the characters ‘X’ , ‘Y’ and ‘Z’ only, and given value of n, write a program that counts the number of occurrences of the string in the n-th Padovan string P(n). An example is given below. For n = 6 and the string ZY, the program should count the occurrences of ZY in P(6). P(0) = ‘X’ P(1) = ‘Y’ P(2) = ‘Z’ P(n) = P(n-2) + P(n-3), n>2 P(3) = P(1)+P(0) P(3) = YX P(4) = P(2)+P(1) P(4) = ZY P(5) = P(3)+P(2) P(5) = YXZ P(6) = P(4)+P(3) P(6) = ZYYX So, the number of occurrences of the string ZY in P(6) is 1.

 

program in java

// aakash , suraj , prem sasi kumar kamaraj college
program 1 :

package test.padovanstring;

public class PadovanString {
    public int stringOccurrences(int n, String str){
   
    if(n >= 40)
    return -1;
    if(str.replaceAll("X|Y|Z","").length()>0)
    return -1;
    String res=pad(n);
    return(res.length() - res.replaceAll(str,"").length())/(str.length());
    }
public String pad(int n){
    if(n == 0) return "X";
    if(n == 1) return "Y";
    if(n == 2) return "Z";
    else return pad(n-2) + pad(n-3);
   
}
    public static void main(String []args)
    {
        PadovanString p = new PadovanString();
        System.out.println(p.stringOccurrences(21,"YZ"));
    }
}

 

 

 

Program set 2 :

import java.util.Scanner;

import java.util.ArrayList;

 

public class PadovanSeries

{

    public static void main(String[] arg)

    {

        Scanner read = new Scanner(System.in);

        System.out.println("Enter starting no. : ");

        int start = read.nextInt();

        System.out.println("Enter ending no. : ");

        int end = read.nextInt();

        int[] ans = getSeries(start, end);

        System.out.println("Padovan series : ");

        for (int a : ans)

            System.out.print(a + " ");

    }

 

    public static int[] getSeries(int s, int e)

    {

        ArrayList list = new ArrayList();

        int i, j = 0;

        for (i = s; i <= e; i++, j++)

            list.add(getPadovan(i));

        int[] ans = new int[j];

        for (i = 0; i < j; i++)

            ans[i] = list.get(i);

        return ans;

    }

 

    public static int getPadovan(int p)

    {

        if (p == 0 || p == 1 || p == 2)

            return 1;

        return (getPadovan(p - 2) + getPadovan(p - 3));

    }

}

 

Padova


Related Discussions:- padovan string

Student, Ask4. Write a query to display the columns listed below. The query...

Ask4. Write a query to display the columns listed below. The query should list each customer in which the video rental is overdue. The Days_Overdue column should calculate the numb

What are the types of control structures in programming, What are the vario...

What are the various types of control structures in programming? - Primarily there are 3 types of control structures in programming: Sequence, Selection and Repetition. - Se

How can i present printing for my class fred?, A: Use operator overloading ...

A: Use operator overloading to present a friend left-shift operator, operator #include class Fred { public: friend std::ostream& operator ... private: int i_; // onl

Explain the polymorphism in object-oriented programming, Problem: (a) ...

Problem: (a) A GUI can contain text-fields, buttons, and other labels. A button usually triggers an event on the GUI. Explain the different processes in registering an event

Make a list of functions that are standard in cpp, Make a list of functions...

Make a list of functions that are standard in C++. You must include each of the following for each function: Name of function Its parameters Data type it returns

Explain automatic variables, Automatic Variables Automatic variables ar...

Automatic Variables Automatic variables are variable which are explained within the functions. They lose their value when the function terminates. It can be accessed only in th

Luminous Jewels - The Polishing Game, Byteland county is very famous for lu...

Byteland county is very famous for luminous jewels. Luminous jewels are used in making beautiful necklaces. A necklace consists of various luminous jewels of particular colour. Nec

A string S convert it to a palindrome by doing chara, A palindrome is a str...

A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome

Define enumeration in computer programming, Define Enumeration in Computer ...

Define Enumeration in Computer Programming? Enumerated types enclose a list of constants that are able to be addressed in integer values. We can declare variables and types

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd