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# fib3.py

# From Classic Computer Science Problems in Python Chapter 1

# Copyright 2018 David Kopec

#

# 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 typing import Dict

memo: Dict[int, int] = {0: 0, 1: 1} # our base cases

def fib3(n: int) -> int:

if n not in memo:

memo[n] = fib3(n - 1) + fib3(n - 2) # memoization

return memo[n]

if __name__ == "__main__":

print(fib3(5))

print(fib3(50))