python递归与非递归实现斐波那契数列

时间:2024-01-08 13:43:32

1.题目描述

大家都知道斐波那契数列,现在要求输入一个整数n,请你输出斐波那契数列的第n项(从0开始,第0项为0)。

递归实现:

class Solution():
def Fibnacci(self,n):
if n <= 0:
return 0
if n == 1:
return 1
return self.Fibnacci(n-1) + self.Fibnacci(n-2)

非递归实现:

def Fibnacci(n):
result = [0,1]
if n <= 1:
return result[n]
for i in range(2,n+1):
result.append(result[i-1]+result[i-2])
return result[n]
2.题目描述
一只青蛙一次可以跳上1级台阶,也可以跳上2级。求该青蛙跳上一个n级的台阶总共有多少种跳法(先后次序不同算不同的结果)。
[2. Tímù miáoshù
yī zhǐ qīngwā yīcì kěyǐ tiào shàng 1 jí táijiē, yě kěyǐ tiào shàng 2 jí. Qiú gāi qīngwā tiào shàng yīgè n jí de táijiē zǒnggòng yǒu duōshǎo zhǒng tiào fǎ (xiānhòu cìxù bùtóng suàn bùtóng de jiéguǒ).]
python递归与非递归实现斐波那契数列
2. Description of the topic

A frog can jump to the first step or jump to the second level. Ask the frog to jump on an n-level step in total how many kinds of jumps (the order is different).