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# fib4.py

# From Classic Computer Science Problems in Python Chapter 1

# Licensed under the Apache License, Version 2.0 (the "License");

# you may not use this file except in compliance with the License.

# You may obtain a copy of the License at

# http://www.apache.org/licenses/LICENSE-2.0

# Unless required by applicable law or agreed to in writing, software

# distributed under the License is distributed on an "AS IS" BASIS,

# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.

# See the License for the specific language governing permissions and

# limitations under the License.

from functools import lru_cache

@lru_cache(maxsize=None)

def fib4(n: int) -> int: # same definition as fib2()

if n < 2: # base case

return n

return fib4(n - 2) + fib4(n - 1) # recursive case

if __name__ == "__main__":

print(fib4(5))

print(fib4(50))