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

Wap for the game hangman-using functions with txt graphics, The game of han...

The game of hangman may have originated in the Victorian era, and involves trying to guess a word by suggesting letters. The game is played as follows: A word is chosen and the pl

Arrays, #question.Write a c++ program to accept and print a 1_d array

#question.Write a c++ program to accept and print a 1_d array

Doubt!, find the greater of the two variables, without using conditional lo...

find the greater of the two variables, without using conditional loops or ternary operators?

Minimum shelf, At a shop of marbles, packs of marbles are prepared. Packets...

At 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 with thes

Assignment, Programming Assignment # 1 C and UNIX   The purpose of this ...

Programming Assignment # 1 C and UNIX   The purpose of this assignment is to get you more familiar with Unix/Linux and those constructs of C that are not part of C++. Write a C

Draw pie chart in c++ program, Draw pie chart in c++ program: int main...

Draw pie chart in c++ program: int main() {                 char cmd;                   cout                 cout                 cmd = toupper(getch());

Exceptions handling in cpp, Exceptions. Your SVector class should throw fou...

Exceptions. Your SVector class should throw four exceptions: 3.1. If the constructor size is invalid, then it will just allow the implicit STL bad_alloc exception to pass up to mai

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