This has been a difficult month for me. I wish that I’d had the poise to sit down and write this response a few weeks ag

Anger is such an informative emotion. It tells us what we believe in, what we need to change, and what we are passionate about. Allowing ourselves to feel it actually lets us channel it, whereas suppressing it actually makes it come out in destructive ways.,Linear Programming with Python and PuLP Linear Programming, also sometimes called linear optimisation, involves maximising or minimising a linear objective…benalexkeen.com,Dictionary in python is a fascinating data structure that has many advantages. They are stored as a key and value pair in the form of a list like structure. Each value can be accessed with its corresponding key. The zip function is used to join two lists together or we can even join the key and value pairs in a dictionary together as a single list. The application of this concept will be made clear in the following code snippet.,Python is one of the programming languages which makes everything easier and straight forward. Anyone who has dabbled in python for competitive coding gets somewhat addicted to its beautiful features. Here is a list of some cool features of Python that I found useful in a competitive coding environment.,Individually these functions might look innocent but will definitely come in handy in a Time-limited coding environment in the sense that they offer large functionality in a very short amount of code. The functionalities discussed have very specific applications and act like a Shortcut or a cheat-sheet in competitive coding. Having these useful tricks up your sleeve might just give someone the competitive edge that they were looking for. Thanks for reading this article, you can follow me on medium.,The first line of output gives 3 of the largest numbers present in the list grades. Similarly the second line of output prints out 4 of the smallest element present in the list grades. Another specialty of this function is that it does not overlook repetitions. So in place of n if we were to place the length of the array we would end up with the entire sorted array itself.,I am sharing these additional details about my reporting in the hope that readers — especially young athletes — who were moved by the piece and felt it accurately depicted their world will continue to speak out about their experiences and seek redress for the problems I tried to bring to light.,This function is a sneaky little shortcut that allows us to implement a simple function on a list of values in a very Unconventional Manner. The following example will give a simple application of this functionality. The function takes as parameters the function name and the name of the list the function needs to be applied upon.,I am sharing these additional details about my reporting in the hope that readers — especially young athletes — who were moved by the piece and felt it accurately depicted their world will continue to speak out about their experiences and seek redress for the problems I tried to bring to light.,In his first publication, Bill Bengen has analyzed the three largest stock-market declines since 1926 which have occured in 1929–1931, 1937–1941 and 1973–1974. During these periods, the stock market declined by 61%, 33% and 37% respectively. Bill has then run a scenario of a portfolio made of 60% in stocks and 40% in bonds and different withdrawal rates for someone who have retired every year since 1926. He concluded that an absolutely safe withdrawal rate of 3% ensures a portfolio longevity of 50 years and that for a portfolio longevity of 30 years, 4% is more adequate. There was no period in the history of the stock market where one would have exhausted their portfolio with a 4% withdrawal rate in less than 30 years. This was the birth of the 4% rule.,Individually these functions might look innocent but will definitely come in handy in a Time-limited coding environment in the sense that they offer large functionality in a very short amount of code. The functionalities discussed have very specific applications and act like a Shortcut or a cheat-sheet in competitive coding. Having these useful tricks up your sleeve might just give someone the competitive edge that they were looking for. Thanks for reading this article, you can follow me on medium.,Invented by Bill Bengen in 1994, a financial advisor in Southern California, the 4% withdrawal rule, or the ‘4% rule’ has become the holy grail of those seeking financial independence. It is a calculation that makes sure retirement savings never run out of money by budgeting to spend no more than 4% of the balance of the retirement savings balance in the first year. This calculation has been at the heart of the FIRE movement which stands for Financial Independence Retirement Early. 25 years after his initial publication, Bill Bengen, who has sold his financial planning practise and moved to Arizona, is recommending to change the rule.,Look at the second element of each tuple. The value 1 occurs for 5 times which is the most common element. So that the value and count pair of 1 is the first element. The Counter() takes number of most common elements we need to print. It is a quick way to access the problems such as second most common element in a list.,In just a few lines of code, we were able to maximize the profits by making more or Car B as compared to Car A. PuLP has many other interesting applications as well. A couple of them are listed below,Linear programming and discrete optimization with Python using PuLP Linear and integer programming are key techniques for discrete optimization and they pop up everywhere in modern technology and business.towardsdatascience.com