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

Bouncing Ball, Create an applet that bounces a blue ball inside an applet u...

Create an applet that bounces a blue ball inside an applet using Thread. The ball (diameter is 10) will start at position (0,0). When the ball hits the edge of the applet, the ba

Skilled programmer is required to build a standalone module, A skilled prog...

A skilled programmer is required to build a standalone module to extract, parse and store in database tables, word count data from web pages and RSS feeds. The module can take R

Described the isa and hasa class relationships. , Described the ISA and HAS...

Described the ISA and HASA class relationships. How would you apply each in a class design? A: A specialized class "is" specialization of another class and, thus, has the ISA re

Write short note on c++, Introduction to C++ C++ was developed by Bjarn...

Introduction to C++ C++ was developed by Bjarne Stroustrup at Bell Laboratories in 1983. Originally, it was known as " C with class". C+ as an enhancement to the C language was

Pattern, enter height of the shape: 1 3 5 3 1 3 5 7 5 3 5 7 9 7 5 3 5 7...

enter height of the shape: 1 3 5 3 1 3 5 7 5 3 5 7 9 7 5 3 5 7 5 3 1 3 5 3 1

Write a recursive implementation of euclid algorithm, Write a recursive imp...

Write a recursive implementation of Euclid's algorithm for finding the greatest common divisor (GCD) of two integers. Descriptions of this algorithm are available in algebra books

I need csgo wallhack and human aimbot, I need CSGO Wallhack and Human Aimbo...

I need CSGO Wallhack and Human Aimbot Project Description: Need a CSGO hack which can ESP Wallhack and Aimbot realistically. Must be VAC Proof, and ESL proof, as wel

Prime no., program to find if a no . is prime or not

program to find if a no . is prime or not

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