关于递归函数,运行的具体代码步骤
def Fibonacci(n):if n == 1:
print(1)
return 1
elif n == 2:
print(2)
return 1
else:
print(n-1,n-2)
return (Fibonacci(n-1)+Fibonacci(n-2))
number = int(input("请输入数字:"))
print(Fibonacci(number))
"""
请输入数字:6
5 4
4 3
3 2
2 1
2
1
2
2 1
2
1
3 2
2 1
2
1
2
8
"""
通过打印测试,想看看执行步骤,发现看不明白。大神能帮忙点拨下么?这部分知识应该在哪里学,计算机原理,汇编语言,还是数据结构呢?
斐波那契数: f(n) = f(n-1) + f(n-2) n>0 ;已知 f(2) = f(1) =1
这看你逻辑思维吧,结合图片会更好理解
f(5)
f(4) f(3)
f(3) + f(2) f(1) + f(2)
f(1) + f(2)
f(1) = f(2) = 1
f(5) = f(4) + f(3) 原始
其中
f(4) = f(3) + f(2) 递
f(3) = f(1) + f(2) 递
所以
f(3) = f(1) + f(2) = 1 + 1 = 2 归
f(4) = f(3) + f(2) = 2 + 1 = 3 归
f(5) = f(4) + f(3) = 3 + 2 = 5 归必
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