Questions tagged [combinatorics]
Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures.
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Compute all the permutations for a given vector of integers
The task is to compute all the permutations for a given vector of integers (but of course the specific integer type is not relevant for the solution)
The strategy is based on recursion + iterations
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2answers
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Leetcode Next Permutation in Python
My solution to Leetcode Next Permutation in Python.
Implement next permutation, which rearranges numbers into the lexicographically next greater permutation of numbers.
If such arrangement is ...
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2answers
53 views
Iteratively generating permutations with repetitions
I tried to solve the simple problem of generating all permutations of length n with m distinct elements where repetition is allowed. Doing this recursively took me like 10 minutes:
...
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1answer
182 views
Best way to performance permutations
This has been my white whale for a while, the idea is convert all the symbols to the goal symbol using all the pieces.
I did an algorithm like 5 years ago (now is lost) and reach lvl 48 but got stuck ...
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2answers
86 views
Number of possible numbers in roman number string
I just started learning programming a few months ago, and I'm intrigued by Haskell. To learn a bit I tried to adapt some code I have in Java so I can see what are equivalent solutions in Haskell.
The ...
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0answers
50 views
itertools.produce reduced and filtered
I need to generate list of all allowable test combination values of of actor, action and ...
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2answers
86 views
PermCheck Codility
The following code gets 100% on the PermCheck task on Codility. It should be O(N).
The question is:
A non-empty array A consisting of N integers is given.
A permutation is a sequence ...
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5answers
712 views
Checking if an integer permutation is cyclic in Java
A an integer permutation array[] is said to be cyclic if and only if we can choose an arbitrary element at position i, move it ...
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2answers
80 views
Grid search parameter combinations in Python
For a computation engineering model, I want to do a grid search for all feasible parameter combinations. Each parameter has a certain possibility range, e.g. (0 … 100) and the parameter combination ...
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votes
1answer
52 views
Worker placement in Orleans board game/combinations
I am trying to program the board game Orleans. I am planning on making a computer player that plays randomly at first. The part of the game that I'm struggling to code elegantly at the moment has to ...
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3answers
168 views
Generate all possible permutations of a string in C++
This is my version of the possible permutations of a string challenge. Please give me feedback or criticism. There are two vectors here: positions and ...
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1answer
45 views
Find the combination of matches which are closest to each other
Problem - Given three sorted arrays find combinations which are closest to each other.
example -
...
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3answers
84 views
Counting paths between 3 cities in C++
The task is to make a program that prints out how many possible paths a driver can use to visit three cities so that he visits each city exactly n times. The program must be executed within 1 minute ...
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votes
2answers
246 views
Print out all possible letter combinations a given phone number can represent
I am working on a problem in which given a 7 digit telephone number, we need to print out all possible combinations of letters that each number could represent.
I came up with below code and I was ...
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1answer
59 views
General nested for
I needed a general-purpose function that accepts some sequence_container<sequence_container<T>> and iterates all permutations of the inner container. To ...
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1answer
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Python finding next word permutation with function generator
Learning how to use function generators in Python I practiced with the following code that finds the next permutation of a word and then uses this new word as input for the next one until there are no ...
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2answers
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Finding all possible letter combinations from an inputted phone number
Prompt:
Given a string containing digits from 2-9 inclusive, return all
possible letter combinations that the number could represent.
A mapping of digit to letters (just like on the ...
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votes
2answers
732 views
Generating the powerset in C
I am solving another problem in leetcode.
Given a set, generate all the subsets of the set.
Input: [1,2,3]
Output: ...
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votes
2answers
467 views
Generating all permutations of 1 digit, 2 equal letters and 2 different letters efficiently
I created a function that generates all the combinations of 1 digit, 2 equal letters and 2 different letters.
I reduced the numbers and letters to make it more easy to calculate:
...
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votes
2answers
229 views
Sequence-based enumeration of permutations with Heap's algorithm
Heap's algorithm
is an algorithm to generate all permutations of a given array. It
... generates each permutation from the previous one by interchanging a single pair of elements; the other n−2 ...
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3answers
270 views
Disjoint cycles of a permutation
Given an element of the permutation group, expressed in Cauchy notation, it is often useful to have it expressed in disjoint cycles (for example to apply the permutation to the keys of a dictionary).
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2answers
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Forming all multiples of 3 using the given digits
I'm working on this kata from Codewars. The task is:
Given a certain number, how many multiples of three could you obtain with its digits?
Supose that you have the number 362. The numbers that ...
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votes
2answers
121 views
Lattice path from Project Euler with Python solution
I was trying to solve this problem called lattice path from Project Euler:
Count the number of unique paths to travel from the top left to the bottom right of a lattice of squares.
How many such ...
4
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1answer
760 views
Recursive implementation of power set in Python
I was doing a recursion problem called power set, and would like to get code review. Here's the problem.
...
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1answer
440 views
n choose k combination in JavaScript
I was asked to solve a problem for \$\binom{n}{k}\$. I did the following implementation and am wondering if there's any feedback.
Input:
n = Integer
...
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votes
3answers
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Master Locksmith
Description
Master Locksmith has just finished the work of his life: a combination
lock so big and complex that no one will ever open it without knowing
the right combination. He's done testing ...
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2answers
787 views
Generate Letter Combinations of a Phone Number
The task: Given a string containing digits from 2-9 inclusive, return all possible letter combinations that the number could represent.
and my solution:
...
2
votes
1answer
61 views
Fitter Nearest-Neighbor function with three nested loops
Background Problem
Consider a set of students that we want to place into Ng groups each of which contains Ns students. Let's ...
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4answers
1k views
Project Euler #15: counting paths through a 20 × 20 grid
I've recently solved Project Euler's 15th problem stating:
Starting in the top left corner of a 2×2 grid, and only being able to move to the right and down, there are exactly 6 routes to the bottom ...
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1answer
771 views
Generalized Cartesian Product
Much to my chagrin, neither STL nor Boost has a cartesian product. Namely, given as arguments one or more iterables, create an iterator producing std::tuples of ...
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votes
1answer
56 views
Total of maximum values in all subarrays
This is the crux of a problem found on one of those code challenge sites.
I'm fairly new to programming and this was a difficult challenge. I've attempted to solve this with stacks and calculating ...
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votes
2answers
544 views
Generate all combinations of length N through M
I've started learning programming and as matter of practice I've decided to make a program that will output all possible string combinations and put them in a file.
I've manged to do that and it works ...
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votes
3answers
735 views
Calculator of combinations without repetition
I am interested to find an absolute value (not an approximation) of "combination without repetition" for given \$n\$ and \$k\$, or \$\binom{n}{k}\$.
The brute force solution would look like this
<...
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2answers
47 views
Count number of cycles in permutation
Write a function that a receives file name and an integer N as arguments, that represent a binary file which contains N integers,...
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votes
1answer
209 views
Bovine Shuffle using a queue (USACO Dec 2017 Silver)
I am working on the "Bovine Shuffle" problem from the December 2017 USA Computing Olympiad, and have got it to work for every test case beside two. When I run these two cases on my own computer, they ...
4
votes
1answer
313 views
Splitting URLs into hierarchy-level directories
The goal is to split a URL like http://q.com/a/b/c to:
['http://q.com/a', 'http://q.com/a/b', 'http://q.com/a/b/c']
My code:
...
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votes
1answer
46 views
Mutative Heap's algorithm (permutations generator) in Clojure
For a side project I'm working on, I need to be able to generate permutations. Instead of relying on an existing library like math.combinatorics, I decided to write ...
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1answer
89 views
Custom container for iterating over combinations of elements from multiple sets
Motivated by some SO quesitons [1, 2] I made an attempt at implementing a custom container with a bi-directional custom iterator for iterating over all combinations of elements from multiple sets.
I ...
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votes
3answers
7k views
Get all combinations of selecting k elements from an n-sized array
Was asked this today in an interview. Didn't see it before, and spent quite a lot of time getting it to work (tricky with all the recursion).
The goal was to find all possible combinations of ...
4
votes
2answers
881 views
Maximum sub-array of non-negative numbers
This is the "Maximum sub-array" problem from CodeChef:
Find out the maximum sub-array of non negative numbers from an
array.
The sub-array should be continuous. That is, a sub-array
...
3
votes
1answer
66 views
python magic square finder for arbitrary numbers
I wrote this code to get all possible magic squares that can be made with a list you put in. The only contraints are that the count of numbers is a square and that each number is unique. It even works ...
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2answers
446 views
Python solution to Code Jam's 'Rounding Error'
The "Rounding Error" problem of Round 1B of Google Code Jam 2018 is as follows:
Problem
To finally settle the age-old question of which programming language is the best, you are asking a total ...
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1answer
56 views
Algorithmic complexity of this algorithm to find all ordered permutations of length X
I have written a recursive function to generate the list of all ordered permutations of length X for a list of chars.
For instance: ['a', 'b', 'c', 'd'] with X=2 will give [['a', 'a'], ['a', 'b'], ['...
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votes
1answer
114 views
Combinatoric problem in Haskell
I am new to functional programming. Just now I solved my first "real world" task using Haskell and now I'm wondering whether I got it "right" and what can be improved.
The problem arises from tensor ...
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votes
3answers
2k views
Determine if one string is a permutation of the another
Can anyone give me some feedback if I'm using std::unordered_multimap optimally? I don't know the ins-and-outs of the ...
4
votes
1answer
279 views
A little next combination program in C++
An implementation of next combination function at Discrete Mathematics and Its Applications, Rosen p.438.
How it works:
Input:
The size n of a integer set {1, 2, ..., n}, which is where you choose ...
3
votes
1answer
717 views
Permutations with a sum constraint
I have made the following function that gives the combinations permuted of n elements with a constrain/rule. This consist on creating a dataframe with all combination of numbers from 0 to n that sums ...
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votes
2answers
337 views
Python calculate arrangements of sequence
I have just started thinking about probabilities. A Problem that come up was how to calculate all the potential arrangements for a given sequence. By arrangement I mean unique permutation.
I ...
4
votes
1answer
159 views
“Tara's Beautiful Permutations” challenge
I'm practising my coding skills using Python to answer medium to difficult problems on sites like HackerRank.
Here is the challenge. Given an array of integers, where each number can appear at most ...
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votes
3answers
92 views
Implementation of Permutation Algorithm B from Topor, 1982
This is Algorithm B from Functional Programs for Generating Permutations (Topor, 1982).
We have implemented Algorithm B in an F# recursive module as follows.
...
