PADOVAN STRING, Computer Engineering

write a program that counts the number of occurrences of the string in the n-th Padovan string P(n)
Posted Date: 9/1/2012 4:34:24 AM | Location : United States





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));
}
}

Padovan String
Problem Description
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.
Instruction to work with Open PBT Client:

Specify the work directory path in the ''Work Directory Path'' field. The path should correspond to your solution project directory.
Download the support files by clicking the Get Dev Files.
You will find the following three folders:
bin
src
lib
in your work directory.
Code the solution in . java file inside the src folder
All required files will be downloaded to your work directory. Creating additional files is strongly discouraged.

Step 1:
In your solution file:

Implement your logic in public int stringOccurrences(int n, String str) in class PadovanString.
int n: n is an integer represents n(th) for which full main string has to formed, from which occurrence of string str has to be found.
String str : str is a string represents sub string whose occurrence has to be found in the main string.

You can create more methods but, do it in the same class.

Step 2:
In your solution keep in mind the following constraints:.

In this problem you have to write a program that counts the number of occurrences of the string in the n-th Padovan string P(n).
Padovan formula is P(n) = P(n-2) + P(n-3) where n>2 and n is the integer.
In the above Padovan formula + sign means string concatenation.
For the Padovan formula value of P(0),P(1) and P(2) is given. You have to use those value only.
n should not be greater than 40 otherwise return -1
string str should be consist of only X,Y and Z in upper case otherwise return -1

The Prototype of the method is:
public int stringOccurrences(int n, String str).
This method takes following arguments.

n is the value for which full main string has to formed, from which occurrence of string str has to be found.
str represents sub string whose occurrence has to be find in the main string.

This method returns a number of occurrence of string str in the main string.

The constraints are:

n should not be greater than 40 otherwise return -1
string str should be consist of only X,Y and Z in upper case otherwise return -1

Example 1
Input :
int n = 6
string str = ZY
Output :
1
Explanation : This question is explained in problem description.
Example 2
Input :
int n = 6
String str = ZYmm
Output :
-1
Explanation :
String str is containing character other than X, Z and Y.
Example 3
Input :
int n = 8
String str = XZ
Output :
Posted by diana | Posted Date: 9/4/2012 4:16:41 AM


Related Discussions:- PADOVAN STRING, Assignment Help, Ask Question on PADOVAN STRING, Get Answer, Expert's Help, PADOVAN STRING Discussions

Write discussion on PADOVAN STRING
Your posts are moderated
Related Questions
Q. Show Programming Based on Data Parallelism? In data parallel programming model the focal point is on data distribution. Every processor works with a part of data. We will co

1- The Privacy Policy: The vendor must explain to the customer how all his information especially sensitive ones will be totally private, and no one can read them or use them i

Address translation with dynamic partition : Given figure shows the address translation process with dynamic partitioning, where the processor provides hardware support for

Convert the following integers into their numerical equivalents in the indicated bases. Be sure to use the correct number of significant figures for each case and show how the corr

Data Routing Functions The data routing functions are the functions which when implemented  the path among the source and the objective. In dynamic interconnection networks the

Explain the Accuracy o f an ADC. Ans Accuracy- The accuracy of D to A converter is the difference among actual output voltage and the expected output voltage in D to A c

What are the categories of Radio communication 1.  Sky wave or ionosphere communication 2.  Line-of-sight (LOS) microwave communication limited by horizon 3.  Troposphere

find the minimum total number of shelves including the loading process

Q. Show the Hypothetical Instruction Format of 32 bits? A sample instruction format is shown in figure below. Figure: A Hypothetical Instruction Format of 32 bits

Knowledge of the Environment: We must discriminate between knowledge an agent receives through its sensors and knowledge about the world from which the input comes. The world