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

Using the substitution model illustrate the process, Each of the following ...

Each of the following two procedures defines a method for adding two positive integers in terms of the procedures inc, which increments its argument by 1, and dec, which decrements

Padovan string, A Padovan string P(n) for a natural number n is defined as:...

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

Define the classification of operators in c language, Define the Classifica...

Define the Classification of Operators in C Language? Depending on the function performed the operator can be classified as 1. Arithmetic Operator 2. Logical Operator 3. Inc

Decodethecode.h, decodes the sending smuggler string from the number format...

decodes the sending smuggler string from the number format into plain text

Advanced features of c, We are now quite happy to use the basic mathematica...

We are now quite happy to use the basic mathematical expressions, however in engineering we use scientific functions i.e Sin , Cos  , ln etc . Within C we have the following functi

Explain the #define directive, The #define Directive The #define direct...

The #define Directive The #define directive explains a macro which is a text string represented by a name. Whenever the pre-processor finds this name in the program, it is repl

Largest clique, find largest clique present in graph

find largest clique present in graph

Explain static variables, Static Variables Static variables have the si...

Static Variables Static variables have the similar scope s automatic variables, but, unlike automatic variables, static variables retain their values over number of function ca

What is a template in c++, Templates permit to create generic functions tha...

Templates permit to create generic functions that admit any data type as parameters and return value without having to overload the function with all the possible data types. Until

Matrix transposition cipher, write a C rpogram that can display the transpo...

write a C rpogram that can display the transpose form of a ciphertext matrix.Prompt users to provide row and coloumn number of matrix.Then user will input plaintext and the program

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