How To Write A O N Algorithm

How do I write an algorithm?

An algorithm for what?That is the really important question. Find out exactly what needs to be done. Find out what you may safely assume. What are the inputs? What do you know about the input? What output do you need?Then, try to break down into small parts what needs to be done. For each of the parts, try to think of a way of accomplishing this. Study lots of existing algorithms, they might give you inspiration for other tasks.Do you need some specific data structures to store the input? To store temporary data? For the output?Then, tie it all together.Once you have a working algorithm, take a breath. You’re doing fine. The next very important bit: how does your algorithm deal with “edge cases”? These are inputs that are “special”. For example, for a sorting algorithm, what happens if you give it an empty list? What happens with a list with only one element? Or if all elements are the same? Does your algorithm still work?As you get more experience, you will start taking care of these cases while coming up with your original solution. Don’t worry too much if that is not the case yet — you will need practice, and with practice you will get better at this.The next step is where you need to be creative. Can you think of a better way of doing it? For this, it might help to analyze what the “time complexity” of your solution is. If you give it an input that is twice as large, will it take twice as long? Four times as long? Can you give an explanation of why it cannot be done faster?Maybe you could use a different data structure and that might help? For example, given a list, finding out if any element occurs twice might take quadratic time if you just look at the first element, check if it occurs anywhere else in the list; then check the second element, and so on. But, you could sort the input (which takes [math]n \log(n)[/math] time using a clever sorting method) and then you can just go through the list, checking if two elements next to each other are the same. Much faster!This kind of thing needs more practice. Study various algorithms and data structures.Good luck!

How do I write a good algorithm?

It depends on how you define the word “good”. It depends on the model of computation you use and your objectives.Take the simple example of reducing time complexity of an algorithm (assuming RAM model). Your algorithm’s complexity is lesser than those of all existing algorithms doesn’t necessarily mean that it is practical to implement because Big-Oh notation swallows constants and can be misleading - like O(1) doesn’t necessarily mean that it is super-fast.If you want to invent an algorithm for a problem, you have to come up with it first, prove the correctness, run-time bounds on time, space, disk accesses, cache hits and misses and so on depending on the underlying model of computation. In case of Quantum Computing Algorithms you might have to derive the bounds on number of gates needed and deal with noise issues and so on. It is math, math and lots of math!

How do I write an algorithm for functions in C?

Writing an algorithm means you are just representing the main logic either using texts or pseudo code.I would prefer to write pseudo code as algorithm.ex: function for adding 2 numbers.Sum(a,b) here Sum is an algorithm that takes two arguments a and b and return their sum/addition.Startstep 1: take input astep 2: take input bstep 3: declare a variable c of integer typestep 4: add a and bstep 5 : store the result in cstep 6: return cStopusing pseudo-code is easy as:Algo sum(a,b)____________here Sum is an algorithm that takes two arguments a and b and return their sum/addition.Startstep 1: take input astep 2: take input bstep 3: c←a+bstep 4: return cStopboth the way of writing algorithm represents the same meaning, writing pseudo-code just saves time.actual c language codes for Sum function:int Sum(int a, int b){int a,b,c;c=a+b;return c;}