Questions tagged [combinatorics]
Combinatorics is a branch of mathematics concerning the study of finite or countable discrete structures.
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2answers
50 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 ...
2
votes
1answer
50 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
87 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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votes
1answer
43 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
79 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
119 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 ...
6
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1answer
58 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
65 views
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 ...
5
votes
2answers
176 views
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 ...
9
votes
2answers
600 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: ...
2
votes
2answers
423 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:
...
2
votes
2answers
209 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 ...
5
votes
3answers
166 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).
...
2
votes
2answers
66 views
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 ...
0
votes
2answers
79 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
votes
1answer
440 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.
...
2
votes
1answer
234 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
...
10
votes
3answers
658 views
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 ...
7
votes
2answers
541 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 ...
8
votes
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 ...
5
votes
1answer
431 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 ...
2
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 ...
3
votes
2answers
234 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 ...
6
votes
3answers
496 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
42 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,...
3
votes
1answer
184 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
212 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:
...
2
votes
0answers
34 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 ...
7
votes
1answer
79 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 ...
9
votes
3answers
4k 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
762 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
64 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 ...
7
votes
2answers
230 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 ...
1
vote
1answer
52 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'], ['...
5
votes
1answer
108 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
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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
206 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
479 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 ...
0
votes
0answers
64 views
Functional permutation generator
I have (we have) implemented the functional permutation generator from (Topor, 1982).
The full source of the implementation is here.
As usual I would like feedback on how to make the code more ...
4
votes
2answers
235 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
142 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 ...
2
votes
3answers
87 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.
...
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0answers
197 views
Permutation of a given set
A simple aspect of brute forcing certain problems is that you may have to do a large numbers of tasks in large numbers of possible orders, as such an algorithm for calculating all these possible ...
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votes
2answers
3k views
A beautiful and easy way of permutation with recursion
I want to share a better version of permutation with you.
Yesterday, when I was reading Horowitz's Fundamentals of Data Structures In C++, and I noticed that the result of the code, at page 32, in ...
1
vote
1answer
76 views
Use of concurrency to generate combinations
I have the following package to generate combinations from a slice of bytes:
...
4
votes
1answer
147 views
Calculate permutation from Factorial representation of the K-th iteration of the N-th permutation
As a follow of a post I made on the Mathematics Stack Exchange I wrote out a simple program that computes the K-th permutation from 0 to N-1 where the number of permutations is ...
3
votes
1answer
116 views
Counting the number of domino tilings for a rectangular grid
A domino tiling of a grid is a tiling of the grid using domino pieces. Below is a C++ program to count the number of possible tilings of a grid of a given size.
The program constructs the board row ...
3
votes
3answers
178 views
Finding the number of ways to partition {1,2, …, N} into p1 and p2 such that sum(p1) == sum(p2)
I am trying to write a space and time efficient algorithm to calculate the number of ways to partition a set of integers {1, 2, ..., N} into two partitions such that the sums of integers in the two ...
5
votes
2answers
229 views
Implementation of Permutation Algorithm A from Topor, 1982
This is Algorithm A from Functional Programs for Generating Permutations (Topor, 1982). The author states that the algorithm was described in TAoCP Vol 1.
We have implemented Algorithm A in F# as ...
