fibonacci without functools (to work in pypy)
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@ -1,5 +1,5 @@
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import math
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import math
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from functools import cache
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from typing import Dict
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def factorial(n: int) -> int:
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def factorial(n: int) -> int:
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@ -10,8 +10,7 @@ def factorial(n: int) -> int:
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return math.factorial(n)
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return math.factorial(n)
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@cache
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def fibonacci(n: int, cache: Dict[int, int] = None) -> int:
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def fibonacci(n: int) -> int:
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"""
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"""
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F(n) = F(n-1) + F(n-2) with F(0) = 0 and F(1) = 1
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F(n) = F(n-1) + F(n-2) with F(0) = 0 and F(1) = 1
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0, 1, 1, 2, 3, 5, 8, 13, 21, ...
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0, 1, 1, 2, 3, 5, 8, 13, 21, ...
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@ -19,7 +18,13 @@ def fibonacci(n: int) -> int:
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if n < 2:
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if n < 2:
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return n
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return n
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return fibonacci(n - 1) + fibonacci(n - 2)
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if cache is None:
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cache = {}
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if n not in cache:
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cache[n] = fibonacci(n - 1, cache) + fibonacci(n - 2, cache)
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return cache[n]
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def triangular(n: int) -> int:
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def triangular(n: int) -> int:
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