Home » Other » General » Puzzle n°10  All possible solution for Fibonacci Series *
Puzzle n°10  All possible solution for Fibonacci Series * [message #354373] 
Sat, 18 October 2008 04:03 

rajavu1
Messages: 1574 Registered: May 2005 Location: Bangalore , India

Senior Member 


Let me invite all the possible solution for generating Fibonacci Series in SQL or PL/SQL.
Quote:  In mathematics, the Fibonacci numbers are a sequence of numbers named after Leonardo of Pisa, known as Fibonacci.The first number of the sequence is 0, the second number is 1, and each subsequent number is equal to the sum of the previous two numbers of the sequence itself, yielding the sequence 0, 1, 1, 2, 3, 5, 8, etc.

The output should be as follows .
Code:
0
1
1
2
3
5
8
13
21
34
55
89
Rajuvan.
[Updated on: Sun, 19 October 2008 08:00] Report message to a moderator



Re: Puzzle n°10  All possible solution for Fibonacci Series [message #354407 is a reply to message #354373] 
Sat, 18 October 2008 09:17 

Michel Cadot
Messages: 63802 Registered: March 2007 Location: Nanterre, France, http://...

Senior Member Account Moderator 


Here are 2 solutions (I choosed the easiest way ):
SQL> DEFINE N=12
SQL> SELECT ' F('num') = 'fibo "Fibonacci"
2 FROM ( SELECT 1 rn FROM DUAL )
3 MODEL
4 DIMENSION BY (rn)
5 MEASURES (0 num, 1 fibo)
6 RULES
7 ITERATE (&N)
8 ( num[ITERATION_NUMBER] = ITERATION_NUMBER,
9 fibo[ITERATION_NUMBER] =
10 CASE
11 WHEN ITERATION_NUMBER IN (0,1) THEN ITERATION_NUMBER
12 ELSE fibo[CV()1] + fibo[CV()2]
13 END
14 )
15 ORDER BY num
16 /
Fibonacci

F(0) = 0
F(1) = 1
F(2) = 1
F(3) = 2
F(4) = 3
F(5) = 5
F(6) = 8
F(7) = 13
F(8) = 21
F(9) = 34
F(10) = 55
F(11) = 89
12 rows selected.
SQL> SELECT ' F('rn') = 'fibo "Fibonacci"
2 FROM ( SELECT rownum1 rn FROM DUAL CONNECT BY LEVEL <= &N )
3 MODEL
4 DIMENSION BY (rn)
5 MEASURES (1 fibo)
6 RULES
7 ( fibo[ANY] =
8 CASE
9 WHEN CV(rn) IN (0,1) THEN CV(rn)
10 ELSE fibo[CV()1] + fibo[CV()2]
11 END
12 )
13 ORDER BY rn
14 /
Fibonacci

F(0) = 0
F(1) = 1
F(2) = 1
F(3) = 2
F(4) = 3
F(5) = 5
F(6) = 8
F(7) = 13
F(8) = 21
F(9) = 34
F(10) = 55
F(11) = 89
12 rows selected.
Regards
Michel
[Updated on: Sun, 19 October 2008 00:23] Report message to a moderator







Re: Puzzle n°10  All possible solution for Fibonacci Series * [message #539497 is a reply to message #354373] 
Mon, 16 January 2012 10:11 

Barbara Boehmer
Messages: 8586 Registered: November 2002 Location: California, USA

Senior Member 


rajavu1 wrote on Sat, 18 October 2008 02:03
Let me invite all the possible solution for generating Fibonacci Series in SQL or PL/SQL.
Here is an 11g recursive subquery factoring method that was not available yet when this thread was started.
SCOTT@orcl_11gR2> with
2 numbers (lvl, fibonacci, next) as
3 (select 0, 0, 1
4 from dual
5 union all
6 select lvl + 1, next, fibonacci + next
7 from numbers
8 where lvl <= 10)
9 select lvl "LEVEL", fibonacci
10 from numbers
11 order by lvl
12 /
LEVEL FIBONACCI
 
0 0
1 1
2 1
3 2
4 3
5 5
6 8
7 13
8 21
9 34
10 55
11 89
12 rows selected.




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