fibonacci sequence python
# WARNING: this program assumes the
# fibonacci sequence starts at 1
def fib(num):
"""return the number at index `num` in the fibonacci sequence"""
if num <= 2:
return 1
return fib(num - 1) + fib(num - 2)
# method 2: use `for` loop
def fib2(num):
a, b = 1, 1
for _ in range(num - 1):
a, b = b, a + b
return a
print(fib(6)) # 8
print(fib2(6)) # same result, but much fasterfibonacci python
# This function computes and returns fibonacci
# sequence number using Dynamic Programming
def fib(num, memo{}):
if num in memo:
return memo[num]
if num <= 2:
return 1
memo[n] = fib(num-1, memo) + fib(num-2, memo)
return memo[n]
"""
params:
int num: index of fibonacci sequence
dict memo: This object is needed to perform dynamic programming. Leave it empty
return:
int output.
complexity:
time: O(n)
memory: O(n)
"""Copyright © 2021 Codeinu
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