A Padovan string P(n) for a natural number n, C/C++ Programming

Assignment Help:

c program for padovan string

 

Padovan series are positive integers obtained by the following process: The Padovan series is the sequence of integers P(n) defined by the initial values P(0) = P(1) = P(2) = 1, and the recurrence relation P(n) = P(n - 2) + P(n - 3).
Write a program to generate the Padovan series from n to m.
 
Constraints:

  • n >=0 and m <=49.
  • m >= n.

If the given inputs are invalid or out of range, then return -1 .
 
Example 1:
Input
from = 5
to = 10
 
Output:
returns {3, 4, 5, 7, 9, 12}
 
Explanation:

P(0
) = P(1
) = P(2
) = 1
, and
 the recurrence relation P(n) = P(n - 2
) + P(n - 3
). 
p(5
) = p(5
-2
) + p(5
-3
) 
        = p(3
) + p(2
) -------- (1
) 
p(3
) = p(3
-2
) + p(3
-1
) 
        = p(1
) + p(2
) 
        = 1
 + 1
 
        = 2
 
Substitute in
 (1
) 
p(5
) = 2
 + 1
 
        = 3
 

Similarly the recurrence should continue for the remaining positions.
 
Example 2:
Input
from = 45
to = 60
 
Output
Returns {-1}
 
CODE TO IMPLEMENT THIS:

import
 java.util.Scanner;
import
 java.util.ArrayList;
 
public
 class
 Padovan
Series
{
    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
));
    }
}

Related Discussions:- A Padovan string P(n) for a natural number n

Area under curve, Write a program to find the area under the curve y = f(x)...

Write a program to find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b

Program to display the greatest common divisor , Many modern cryptography a...

Many modern cryptography algorithms require two numbers that are coprime, or sometimes referred to as relatively prime. Two numbers are coprime if their greatest common divisor is

Define the conditional operator in c language, Define the Conditional Opera...

Define the Conditional Operator in c language? The Simple conditional operator can be carried out with the conditional operators (? And :). An expression that makes use of the

Example program of c programming, Write a c program to determine interchang...

Write a c program to determine interchanged values between two variables?[Hint - if loop] What will be the output of the program? How many times this loop will execute? Wr

Object Oriented Programming, Ask queCreate an object oriented application w...

Ask queCreate an object oriented application with C# that computes the area of a rectangle, and the area and the volume of a cuboid. Based on the inheritance concept, create a bas

Recursive procedure to computes the number of digits, (a) Write a recursive...

(a) Write a recursive procedure (digits n) that computes the number of digits in the integer n using a linear recursive process. For example, (digits 42) should return 2 and (digit

Program to find a greatest string: c - program , Program to find a Greatest...

Program to find a Greatest String: C - Program: Write a program find largest string by c program. int main( int argc, char *argv[] ) {     if( argc         {

Change to palindrome, A palindrome is a string that reads the same from bot...

A palindrome is a string that reads the same from both the ends. Given a string S convert it to a palindrome by doing character replacement. Your task is to convert S to palindrome

Assignment, Design a black box suit for function whether a character or st...

Design a black box suit for function whether a character or string up to 25 characters

kbbpuc

1/28/2013 7:30:27 AM

V4TRRu kwmeezykbbns,">http://kwmeezykbbns.com/">kwmeezykbbns, [url=http://hoqcfhngzhzz.com/]hoqcfhngzhzz[/url], [link=http://olnulsgfmzta.com/]olnulsgfmzta[/link], http://vaqeasygbayc.com/

Zdykinir

1/31/2013 12:32:29 AM

I''ve seen some people around the gym wearing the thing, but I never asked them for their opinions so I''m glad to read some comments on your site., Phen375">http://joaquinsantaella.com">Phen375 Diet Pills, yzsgc,

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