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

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

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. The area under a curve between two points can b

I need asp .net facebook app project completion, I need Asp .net Facebook a...

I need Asp .net Facebook app project completion Project Description: We are urgently seeking a few remaining items to be completed, and the project to be deployed to live.

Explain the polymorphism in object-oriented programming, Problem: (a) ...

Problem: (a) A GUI can contain text-fields, buttons, and other labels. A button usually triggers an event on the GUI. Explain the different processes in registering an event

My program, palindrome program with minimum character replacements

palindrome program with minimum character replacements

Program to multiply 2 complex no.s - c++ program, THIS PROGRAM IS TO MULTIP...

THIS PROGRAM IS TO MULTIPLY THE TWO COMPLEX NO.S GIVEN BY THE USER #include #include #include struct complex     {     int real;     int imag;     }; void main()  {  clrs

Padovan string, c program to count the number of occurances of the string i...

c program to count the number of occurances of the string in padovan''s string

Write a program to sort an array of strings, Write a program to sort an arr...

Write a program to sort an array of strings. Use new and delete operators. Write a program to find the factorial of a number using recursion. If we do not accept the number

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