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

PEBBLE MERCHANT, There is a pebble merchant. He sells the pebbles, that are...

There is a pebble merchant. He sells the pebbles, that are used for shining the floor. His main duty is to take the length of the room’s sides. But he sometimes mistakes doing that

Define the keywords of c language, Define the Keywords of c language? C...

Define the Keywords of c language? C keeps a small set of keywords for its personal use. These keywords can't be used as identifiers in the program. Here is the list of keyword

COMPUTER, THEORY OF A COMPUTER PROGRAMMING

THEORY OF A COMPUTER PROGRAMMING

String-classes-constructors and member functions, Objective Using C++ s...

Objective Using C++ string, classes, constructors and member functions. Task A Write a program (book.cpp) to store a list of book titles and the published dates. Your pro

Write a program that simulates a simple calculation, The program reads two ...

The program reads two numbers and a character (operator). If the character is "+" then sum is displayed. If it is "-"then difference is displayed. If it is "*" then product is disp

ASCII, A string S is said to be "Super ASCII", if it contains the character...

A string S is said to be "Super ASCII", if it contains the character frequency equal to their ascii values. String will contain only lower case alphabets (''''a''''-''''z'''') and

Decode the given code, write c++ program to decode the given code. in mobil...

write c++ program to decode the given code. in mobile keypad the integers from 1 to 9 will display the characters from a to z and 0 will assign a space

Explain difference between early binding and late binding, What is the diff...

What is the difference between early binding and late binding? What are advantages of early binding? a.) Late binding refers to function calls which aren't resolved until run t

.., write a c++ code to implement use of a constructor

write a c++ code to implement use of a constructor

Decoding smugglers message, Smugglers are becoming very smart day by day. N...

Smugglers are becoming very smart day by day. Now they have developed a new technique of sending their messages from one smuggler to another. In their new technology, they are send

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