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

Compiler Design - Limit In The Method Instructions, Raj is a newbie to the ...

Raj is a newbie to the programming and while learning the programming language he came to know the following rules: · Each program must start with ''{'' and end with ''}''

Tell what the derived class inherits or doesn''t inherit?, Tell what the de...

Tell what the derived class inherits or doesn't inherit? A: Inherits: - All data member defined in the parent class (even though such members might not always be accessible

Programming, pseudocode for gregorian calendar

pseudocode for gregorian calendar

Car rental system, Car Rental System This system tracks cars in a rental co...

Car Rental System This system tracks cars in a rental company. Each car has a number (assume its plate number), type (small car, four wheel car), and status (rented, available). T

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

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

Primary data type in cpp, What are  P r im a r y D a t a T y p...

What are  P r im a r y D a t a T y p es? Integer can be defined according to the size of the data and it can be modified further by using keyword unsigned and si

Minimum shelf, #questionAt a shop of marbles, packs of marbles are prepared...

#questionAt a shop of marbles, packs of marbles are prepared. Packets are named A, B, C, D, E …….. All packets are kept in a VERTICAL SHELF in random order. Any numbers of packets

Need to fix a code written in c++, Need to Fix a code written in c++,SDL2.0...

Need to Fix a code written in c++,SDL2.00 for high CPU and memory leak There is a 2D simple game written with SDL2.00 using c++. The game isn't complete and the code is a little

Program of binary tree, Program of Binary tree: Btree::Btree(int O) : ...

Program of Binary tree: Btree::Btree(int O) : itemsInContainer(0) {     finishInit(O); }   Btree::~Btree(void) {     if( root != 0 )         delete roo

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