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

Write a program that illustrate command line parameters, Write a Program th...

Write a Program that illustrate Command Line Parameters? main(int argc, char *argv[]) { int i; for(i = 0; i printf("arg %d: %s\n", i, argv[i]); return 0; }

Explain floating literal, Floating  literal They can be written in comm...

Floating  literal They can be written in common decimal as well as scientific notation (floating point representation). By default it is of type double. F, L is applied only to

Program to find whether a number is odd or even, PROGRAM TO FIND WHETHER A ...

PROGRAM TO FIND WHETHER A NUMBER IS ODD OR EVEN int main() { int number ; printf("Enter a whole number\n"); scanf("%d",&number); if(number % 2 == 0) printf("n

CGI, WHAT IS CGI?

WHAT IS CGI?

Decode, Smugglers are becoming very smart day by day. Now they have develop...

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

Working a homework programming assignment in C++, I am working on a program...

I am working on a program that allows a player to play a game against the computer. In this game the player can only chose to draw 1, 2, or 3 toothpicks. How do I make restrictions

Radix, a popular joke among computer is to say............

a popular joke among computer is to say............

Explain high-order and low-order bytes., Explain high-order and low-order b...

Explain high-order and low-order bytes. - Numbers are written from left to right in decreasing order of significance. In the same way, bits in a byte of computer memory can be

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