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# impl/test of https://www.youtube.com/watch?v=PoSB9HK4kxg&ab_channel=MichaelPenn
# m = \sum_{n=0}^{m-1} \sum_{k=0}^{n+1} \frac{(-1)^{k+1}}{n+1} \binom{n+1}{k} (k+1)^m
# this is from m=lim_{x->1} mx^{m-1} with the equivalent definition of
# derivative: f'(x)=ln(1+\Delta x)f(x)

from math import comb
from fractions import Fraction
from typing import Generator, Protocol

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def foo(a,b):
    pass
def edit_d(a):
    pass

l = 0
d= {}

# before refactor
while d:

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-- :: -- :: # #- #- # # # #- #- -- :: -- :: # # # # -- :: -- :: # # # # # # # #. \ ://./-/----/ '
-- :: -- :: # #- # #- ,
-- :: -- :: # # # # # # # # -- :: -- :: # # #- #/ # # #/ #- -- :: -- :: # # # # # # # # -- :: -- :: # # #/ # # #/ -- :: -- :: # # #- # # # # # # #- -- :: -- :: #- #- # #- # #-

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/*  This example is to show that
 *  array.push will not trigger "set" method of proxy
 *  because array is mutable.
 */

interface MyObj {
  arr: number[];
}
const myObj: MyObj = { arr: [] };

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// https://github.com/microsoft/TypeScript/issues/47295
// https://stackoverflow.com/questions/70569105/proxy-property-in-setter-has-never-type
// https://www.typescriptlang.org/play?ts=4.6.0-dev.20220103#code/MYewdgzgLgBAtgTwPICMBWMC8MDeBYAKBhjAFc4AuGAWgEYAaQ4gQwCdWqBtBmAJnpgBmALqMiMaBxgByaWIC+AbkKFQkWAAdWIAB4IsJAKYB3GAAVtegBSJUaAfnERDUK1DYBzFwK0gNVAGtDBBAAMxgoBA1DMPhkdAEAN2YAG1JDAEpcJmIYAHoAKhJwQxhYqAALQ2cYYxBWAIgYAryc4jy8mAA1Q1YAOhhaNpgAS3CrXw1RsAjPFyz3Vi8oTknhA2S0w2Vxds6e-r5hxeXV7Q117E30ndz8-d6BwWO5lcmYZiagkPDI6NjbOhLjBrtthh1uo8YAAWYYQYwjKDACowCbnLKOO7EYCfUrSMhwaQUYbY3EySREkm5E4uM5+YGg25Y4goViGZgBJnEeQqXb5IrGCojFKlSrVUp1BpNFrgh6HACscIRSJRaL8GKpOJq+PIlL5dxpb3ODNSNypLLZHK5uS1eIpxP11NedIuG1NYMdFvZnOGPL5EIOAwAbErEcjUZMNY7bTICXrmcRDS6TVtrXdWd60zAACaGULMUgpKAOhOzJa0tZu1PmmAZq2+3l3NlQUisGZQVhm8TyBQZHaqcAQEAivopEAeKzSXx6GBUOQwacIPuEIA

const myObj = {
  num: -1,
  arr: [1, 2, 3],
  str: '',
};

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// Example usage for React class component. 
// Can also it for state or non-react JS.
componentDidUpdate(prevProps) {
  logUpdatedDiff(prevProps, this.props)
}

/**
 * @param  {object} prev: previous to compare
 * @param  {object} current: current to compare
 * @return {void}