Fibonacci number/ru: what changed
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| 1 | 1 | # Числа Fibonacci | |
| 2 | 2 | ||
| 3 | 3 | Числа Fibonacci задаются следующей последовательностью: | |
| 4 | 4 | ||
| 5 | - | ||
| 5 | + | ```text | |
| 6 | + | 0, 1, 1, 2, 3, 5, 8, 13, 21, ... | |
| 7 | + | ``` | |
| 6 | 8 | ||
| 7 | 9 | Идея заключается в сложении двух последних чисел, и этот результат является следующим значением последовательности. | |
| 8 | 10 | ||
| 9 | 11 | ## Рекурсивный способ | |
| 10 | 12 | ||
| 11 | 13 | ``` pascal | |
| 12 | 14 | ||
| 13 | 15 | function FibonacciNumber( n : integer ): integer; | |
| 14 | 16 | begin | |
| 15 | 17 | if n > 1 then result := ( FibonacciNumber( n - 1 ) + FibonacciNumber( n - 2 ) ) | |
| 16 | 18 | else | |
| 17 | 19 | if n = 0 then result := 0 | |
| 18 | 20 | else result := 1; | |
| 19 | 21 | end; | |
| 20 | 22 | ``` | |
| 21 | 23 | ||
| 22 | 24 | ## Итеративный способ | |
| 23 | 25 | ||
| 24 | 26 | Вот один из предпочтительных вариантов. | |
| 25 | 27 | ||
| 26 | 28 | ``` pascal | |
| 27 | 29 | function Fibonacci(n: Integer): Integer; | |
| 28 | 30 | var | |
| 29 | 31 | i,u,v,w: Integer; | |
| 30 | 32 | begin | |
| 31 | 33 | if n <= 0 then | |
| 32 | 34 | exit(0); | |
| 33 | 35 | if n = 1 then | |
| 34 | 36 | exit(1); | |
| 35 | 37 | u := 0; | |
| 36 | 38 | v := 1; | |
| 37 | 39 | for i := 2 to n do | |
| 38 | 40 | begin | |
| 39 | 41 | w := u + v; | |
| 40 | 42 | u := v; | |
| 41 | 43 | v := w; | |
| 42 | 44 | end; | |
| 43 | 45 | Result := v; | |
| 44 | 46 | End; | |
| 45 | 47 | ``` | |
| 46 | 48 | ||
| 47 | 49 | ## См. также | |
| 48 | 50 | ||
| 49 | 51 | - [Some assembly routine which uses the C calling convention that calculates the nth Fibonacci number](http://www.freepascal.org/docs-html/prog/progsu151.html) | |
| 50 | 52 | - [[Solution 3|Tao Yue Solution to Fibonacci Sequence Problem]] | |
| 51 | 53 | ||
| 52 | 54 | --- | |
| 53 | 55 | *From the Free Pascal wiki, page "Fibonacci number/ru", as it stood on 2020-02-14 after a change by Trev, out of the wiki's dump of 2024-05-26. Copyright stays with the author who wrote it, according to the old wiki's [[Licensing]] page. If you have concerns about this material, [message the admin](/wiki-contact).* |