how to efficiently work through algorithms on paper [closed] - algorithm

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I am currently reading a programming text book and as I discover different algorithms used in the book I'm finding it necessary to understand how they work by working through them. Is there a standard & efficient way to work through simple algorithms on paper?

Write the algorithm down on the paper. Write the corresponding graphs and variables that you use in algorithm.
Now follow algorithm step by step and note what changed with variables and graphs etc.

Time slices. Make a table, where the column headers are variables involved, and row headers are step numbers. Fill in row zero with initial values if any, and each row represents the result of the current step on the previous row.

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Is there any algorithm to achieve some optimization for hanger placement? [closed]

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I need to do a job where I need to place a particular object(Hanger) in a standard distance.
The rules are:
We should try to place each object in a given standard distance from each other.
There is a max distance from one object to adjacent object which in no way should be violated.
From the start and end also similar standard and maximum distance rule applies.
And there are some portions given where the objects placement needs to be avoided.
I'm not even able to start... which algorithm to use.
If anyone has any suggestion how I can achieve this or some related source please let me know.

Is it necessary to memorize the codes of data structures? [closed]

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Is it necessary to memorize the code of data structures like linked lists, dynamic arrays , circular linked list, queues , stacks , Graphs etc. Or just the basic knowledge of code is enough ? What kind of questions can be asked in a job interview regarding data structures ?
I don't know what your (future) employer may ask, but generally, I'd say no. You have to know how they work and what they're used for, expecially which data structure serves which purpose with its advantages/disadvantages. If you know that, you'll be able to write the code of such a structure without having it memorized - because you know how it will work.

What is the function of state in a pseudorandom number generator? [closed]

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I'm working on a pseudorandom number generator for an assignment and I'm having a hard time wrapping my head around how state is used in it. What does it mean to advance to the next one? I'm not looking for tips on implementation, just an explanation of the concept. Thanks!
A PRNG generates a sequence of numbers.
To calculate the next number, you have some internal state (variables set to specific values, if you will). That's the state referred to in the context of PRNG. This state can often be represented by just a single number.

Algorithm for finding similar words [closed]

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In order to support users learning English, I want to make a multiple-choice quiz using the vocabulary that the user is studying.
For example, if the user is learning "angel" then I need an algorithm to produce some similar words such as "angle" and "angled"
Another example, if the user is learning "accountant" then I need an algorithm to produce some similar words such as "accounttant" and "acountant", "acounttant"
You could compute the Levenshtein Distance from the starting word to each word in your vocabulary and pick the 2 or 3 shortest ones.
Depending on how many words are in your dictionary this might take a long time though, so I would recommend bailing out after a certain (small) number of steps - i.e. if you have made 3 mutations and still haven't arrived at your target word then stop and move on to the next one.

Find plagiarism in bulk articles [closed]

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I have a 20,000 collection of master articles and I will get about 400,000 articles of one or two pages everyday. Now, I am trying to see if each one of this 400k articles are a copy or modified version of my collection of master articles (a threshold of above 60% plagiarism is fine with me)
What are the algorithms and technologies I should use to tackle the problem in a very efficient and timely manner.
Thanks
Fingerprint the articles (i.e. intelligently hash them based on the word frequency) and then look for statistical connection between the fingerprints. Then if there is a hunch on some of the data set, do a brute force search for matching strings on those.

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