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Pólya completely changed my approach to solving problems.Not only mathematical ones - his ideas can be successfully applied to other fields, including computer science.It lets you see your strengths and your weaknesses, so you can know the areas where you need to work to improve at. My plan is pretty short: I am going to write a Fibonacci function - I need a formula for it, and it will be a recurrence function.
In same cases, it will be much easier to solve a slightly different problem if you can't find the solution directly. A second look allows you to find more efficient solutions.
At the end of your work, you should have made an algorithm to solve the problem. What parameters do you need to pass through functions? After you find an answer - think if it can be done better.
I return to his books because I always find something new with each new reading.
In the 20th, century the idea of the hermeneutic circle was first discussed.
I am going to explain how we can use these heuristics in programming and give examples that show how they work in real code.
I invite you to read Pólya and try to find your own solutions.You can use a debugger to move step by step and check how this function works - this is useful when something goes wrong. I think the Fibonacci function is not efficient enough.I can compute an array and then choose neighboring entries.So the determined participant will slowly but surely work his/her way through every problem.In order to track your progress it is necessary to setup an account and have Cookies enabled.In this blog post, I would like to extend concepts previously discussed in my previous post - problem solving with a mathematical approach.In this blog post, I would like to extend concepts previously discussed in my post about the secrets to a successful juniorship.The problems range in difficulty and for many the experience is inductive chain learning.That is, by solving one problem it will expose you to a new concept that allows you to undertake a previously inaccessible problem.Let's write a program which computes the nth Fibonacci number and then for two neighbouring such numbers, find a way to compute their greatest common divisor, . The greatest common divisor of two Fibonacci numbers. Write a generic function to compute Fibonacci numbers for a given variable. Finally, put the first into the second and I’ll get the greatest common divisor of two Fibonacci numbers.I present the function based on the formula, and it is pretty simple.