# Questions tagged [lists]

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### Historical examples of bad security policies/mechanisms that we got stuck with through switching costs?

The following process seems to be a recurring one: Initial design. Commercial organisations invent and implement a design that seems at the time to work. Problem discovered, new design suggested. Due ...
257 views

### Sorting a large list of test scores

You have a large list (say N > 10000) of test scores which you would like to sort. The test scores are between 1 and 100. What is quickest way to sort the list? First thought. We have a O(N log N) ...
31 views

### Difference between a skiplist and an Indexable skiplist

Can someone please help me understand the main differences between a simple skiplist and an indexable skiplist? How does an indexable skiplist work in comparison to a normal skiplist (maybe a little ...
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### Abstract Data Type

I have been studying data structures. In that I have come across topics like Array being defined as Power set of cross product of set of objects and set of natural number and list being defined as ...
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### Abstract Data Types and their Implementation [closed]

I wanted to know if there is good resource to learn about the ADTs like set ADT, list, array, boolean etc and their implementation.
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### Terminology Questions: Data-structure consisting of lists without repetitions

I've google around and have been unsuccessful in finding a name for a data-structure consisting of a list whose elements are unique. I've seen "unique sorted lists", but I'm looking into the more ...
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### Given a RxC grid, how to generate N 2D points randomly such that no 3 points are collinear?

Context, I have a geometric algorithm that is sensitive to collinear points and receives as input a list of points in 2D generated randomly. Suppose that I have a Boolean function nonCollinear(x,y,z) ...
244 views

### Fastest way to search a word in a word list?

I have a word list like "English Open Word List" used to create word games. The list is in txt file with space between words, like; aa aah aahed .........and so on. I want to search it while typing ...
37 views

### create distance (ment is high difference between values) between Vertexes in a list

Given are some vertexes, arranged in a list (so there every vertex is connected with two others and there are no circles in the graph). Every Vertex contains one number. Now you can lower the Number ...
96 views

### Big O Notation for Return List is it O(N)?

what is the Big O for Returning List? aka return list (e.g. list=[1,2,...]) is it o(1) or o(n) and is there a good website for average big o for different operations including sorting for simple ...
5k views

### Time complexity to check if there is an edge between two nodes in an adjacency list

I know that the time required to check if there exists an edge between two nodes in an adjacency matrix is $O(1)$ because we can access it directly (i.e: $M[i][j]$). However, I didn't really get why ...
38 views

### How would I go about determining popularity and relevance among articles and use it to improve my search algorithm

Disclaimer: First of all I've had a lot of trouble finding the right stack exchange site for this question and I don't know if it's correct here either. The Problem: I'm working on a search algorithm ...
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### Remove duplicates of first elements of pairs

A list of pairs is given using Python. I want to remove duplicate occurrences of the first element of the pair leaving only one occurrence of each first element paired with the highest second element ...
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### List of scheduling problems and their statuses

As of 1993, there are 4536 scheduling problems, 3821 were proven to be $NP$-hard, 417 polynomially solvable, and 298 still open. Where can I find the most up-to-date list of scheduling problems and ...
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### Is there a name for the “tree” aproach to listing things?

I've only been studying computer science for a few weeks, so I apologize if this is a silly or naive question. Suppose we're trying to list all elements of the set C(r) = \{(x,y,z) \in \mathbb{N}^3 ...
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### Partial intersection of 10 sorted lists of integers

Suppose I want to find the numbers that appear in at least 3 of the 10 sorted lists, is there an efficient way to do it apart from iterating over all 10 of them in parallel?
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### When are adjacency lists or matrices the better choice?

I was told that we would use a list if the graph is sparse and a matrix if the graph is dense. For me, it's just a raw definition. I don't see much beyond it. Can you clarify when would it be the ...
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### General name for linked lists based on hashes

I am thinking of a particular datastructure, but don't know the name of it. A sequence of elements may be modeled by a collection of some X, where each X consists of: The element, serialized as a ...
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### Expected Time for LookUpSkipList

A skip list Let C(k) = the expected length of the path that raises k levels backwards. Thus C(0) = 0 For any node P in the path, with k levels higher to go, there are two cases: P is a node of ...
98 views

### Gauss-Jordan using stacks and list

I have a homework assignment in which I need to write an implementation of Gauss-Jordan with complete pivoting. Complete pivoting is a modification to the basic Gauss-Jordan algorithm in which rows ...
388 views

### How to use structural induction to prove law on lists

I want to prove that the following equation holds using structural induction on (finite) lists ...
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### Why does linear search have $\frac{n}{2}$ comparisons on average?

I'm reading the Wikipedia page on Linear Search and it is mentioned that there are on average $\frac{n}{2}$ comparisons. I tried working this out on my own. First I considered the number of cases. ...
3k views

### What's the fastest way to find the Kth smallest value in an unsorted list without sorting?

My initial algorithm: Compare element 0 with every other element, keeping track of how many elements are less than it. Repeat for each element until an element that is greater than exactly (k-1) ...
172 views

### Efficiently finding duplicates in lists of numbers

I decided to try my hand at solving the knapsack problem. My idea involved generating $i$ tables, where $i: 1 \le i \lt n$, and each cell of an $i$ table contains one of the possible sums of the ...
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### Lambda calculus lists construction explanation

I have the following notes that introduce how lambda calculus handles lists. They go as follows: A list is something we can match on and deconstruct if it is not empty: ...
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### Description of lists with functions in LISP

I have been given the following implementation of basic list functions in LISP: ...
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### Find out duplicate number between 1 to N numbers

I first saw this question on this website where I was trying on Java puzzles. Here is the Question:- ...
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### Can randomization be proven?

There exists a collection c where c = {1, 2, 3} and a randomization of c, ...
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### Fastest way to Add and Subtract multiple parts of a List

I am doing some research where I have a List containing numbers. For example {5,10,98,22,13,15} What is a fast algorithm to calculate all possible sums and ...
4k views

### The fastest algorithm for intersection of two sorted lists?

Say that there are two sorted lists: A and B. The number of entries in A and B can vary. (They can be very small/huge. They can be similar to each other/significantly different). What is the known ...
467 views

### Skip List randomization complexity

I understand the basics of Skip Lists and their implementation also the basic Search Insert ...
417 views

### Find the duplicates in a list of floating point numbers

I receive a list of real numbers ( float ) between $0$ and $1$. The list has length $N+1$ and I need to find two numbers on the list which are $\le \frac{1}{N}$ ...
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### Are there data structures that mix a tree structure with lists?

I suppose something like this could probably be easily designed, however I was wondering if there's a data structure that somehow uses both list and tree to access data. Something like this (I'll be ...
176 views

### How can I get O(1) prepend on a random-access list?

I need a data structure that has the following operation: $\operatorname{prepend}([x_{n - 1}, ..., x_0], x_n) = [x_n, ..., x_0]$ $\operatorname{prepend}$ should be in $O(1)$. Assume that you have ...
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### How do I merge these lists?

I ave a a collection of lists of objects: $a_1$ $a_2$ $a_3$... $b_1$ $b_2$ $b_3$... $c_1$ $c_2$ $c_3$.. I need to merge them into a minimal possible number of lists, each list must be as long as ...
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### Algorithm for grouping identical neighbors in a list

I have a list that I want to reduce to a smaller list by grouping identical neighbors. This list has many many redundant entries. Example list: ...
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### How do I interpret this divide and conquer algorithm for removing duplicates in a list?

Consider the following divide and conquer algorithm to remove duplicates in a list. The text is in French. What is the meaning of the variables $c1, c2, d1, d2$? Why are only the variables $c1, d1$ ...