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

Program for read a formal expression from standard input, Your program will...

Your program will read two kinds of data from two files: names and predicates. It will read a formal expression from standard input and check whether that expression is syntactical

Maze, How would I make a maze in C++? I would prefer to use the recursion m...

How would I make a maze in C++? I would prefer to use the recursion maze generation algorithm if possible, thanks!

What are user defined data types, Q: What are User Defined data types? ...

Q: What are User Defined data types? C supports an extraordinary feature known as "type definition" that permits users to define an identifier that would represent an existing

Constructors and methods program, To complete this assignment, edit the fol...

To complete this assignment, edit the following constructors and methods: 1. public MaxPQ(Key[] keys) - change the following loop for (int k = N/2; k >= 1; k--) sink(k);

Write a function that takes in radius and cover screen, Write a function th...

Write a function that takes in a radius and evenly covers the screen with circles of that radius. Don't attempt to draw any circles that are completely off the screen.

Program to print a series, Write a program called Series that will print/di...

Write a program called Series that will print/display a series of numbers starting with 1 and ending with the last number that is less than 30. The series should include only odd n

Create a c project, The project will include Arena models (only .doe files)...

The project will include Arena models (only .doe files) and MSWord document for the report. Thereport must contain the following sections: 1. Introduction: (a)    Statemen

Questions on functions, Write a function for finding out highest and lowest...

Write a function for finding out highest and lowest marks obtained by a student from an array contained student name and marks. For Example : GetHighestLowestMarks{Student{n}, Ma

Described smart pointer?, A: A smart pointer is a C++ class which mimics a ...

A: A smart pointer is a C++ class which mimics a regular pointer in syntax and some semantics, however it does more. Since smart pointers to distinct types of objects tend to have

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