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

PADOVAN STRING, # c pragram TO count the number of occurances of the string...

# c pragram TO count the number of occurances of the string in nth padovan''s string program in java // aakash , suraj , prem sasi kumar kamaraj college program 1 : pa

Develop an e commerce site, We need an E Commerce site likefifacointrader. ...

We need an E Commerce site likefifacointrader. you must have experience with that kind of work You have to show a sample of work like that site. Skills required are C Prog

How can i provide printing for whole hierarchy of classes?, A: Provide a fr...

A: Provide a friend operator class Base { public: friend std::ostream& operator ... protected: virtual void printOn(std::ostream& o) const; }; inline std::ostr

Need help, how to make basics strong and best logic skills what are the bes...

how to make basics strong and best logic skills what are the best way to be a expert programmer ? what counts a lot knowledge or practice?

String function examples, 1. De ne a function chomp :: String -> String tha...

1. De ne a function chomp :: String -> String that selects a run of repeated characters from the start of a string with the run being as long as possible. For example ch

Program for single int parameter, Write a function that has a single int pa...

Write a function that has a single int parameter n and returns an int: 0 if n is negative, otherwise 1. You are not allowed to simply check the integer value, and should use the fu

If i wish a local to "die" before the close} of the scope, What if I wish a...

What if I wish a local to "die" before the close} of the scope wherein it was created? Can I call a destructor on a local if I want to?

Pebble merchant problem, There is a pebble merchant. He sells the pebbles, ...

There is a pebble merchant. He sells the pebbles, that are used for shining the floor. His main duty is to take the length of the room’s sides. But he sometimes mistakes doing that

C program for function of copy one string in other string, C Program for FU...

C Program for FUNCTION OF COPY ONE STRING IN OTHER STRING #include stdio.h> #include conio.h> int copy(char a[],char b[]); void main() {           char a[100],b[

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