Complexity is the analysis of how the time and space requirements of an algorithm vary according to the size of the input. Use this tag for reviews where the "Big O" is a concern.

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3
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1answer
26 views

Construct KD-Tree in Java

I want to construct KD-Tree from unsorted List of points in the plane (i.e. 2-KD-Tree). To do so I used the method from Wikipedia: http://en.wikipedia.org/wiki/Kd-tree#Construction This is my code: ...
5
votes
2answers
68 views

Time Limit Exceeded with Segment Tree data structure

I am trying to solve this problem Chef Ceil has some matchsticks in his kitchen. Detail of matchsticks: There are N matchsticks in total. They are numbered from to 0 to N-1 inclusive. ...
6
votes
1answer
83 views

Russian doll envelops

Interview question from the interwebz You have a set of envelopes of different widths and heights. One envelope can fit into another if and only if both the width and height of one envelope ...
8
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1answer
82 views

Finding largest subset of line segments that don't intersect

I completed a challenge of codeeval called BayBridges. It can be found here. I have uploaded my code on GitHub here. In summary, the challenge is to take a list of line segments, each specified by ...
2
votes
1answer
38 views

Two squares or not two squares - constant time optimization

I have been trying to solve this problem, and after a bit of googling, I realised a \$O(\sqrt{n})\$ time complexity works fine (though the algorithm suggested is different from that I have used). My ...
5
votes
3answers
193 views

Psycho and ordinary numbers

The problem statement can be found here. In short, here's what the problem is about: You're given a set of numbers and you need to find whether the the numbers are ordinary or psycho. For a number ...
0
votes
0answers
26 views

Proving a conjecture given a set of clauses - calculating complexity

I have written this Perl program to prove a conjecture given a set of clauses. I've actually posted some code from it on here in another question. This time its all done and I've made it as fast as ...
28
votes
11answers
3k views

Searching in an array in less than O(n) time

I have an array where each element is either one less or one greater than the preceding element \$\{x_i = x_{i-1} \pm 1\}\$. I wish to find an element in it in less than \$O(n)\$ time. I've ...
6
votes
1answer
186 views

Simplify function to sum the absolute value of the difference between all pairs of elements of a sorted array

Given a sorted array of N elements, I need to find the absolute sum of the differences of all elements. Given 4 elements (1, 2, 3 and 4): |1-2|+|1-3|+|1-4|+|2-3|+|2-4|+|3-4| = 10 Here is my ...
5
votes
1answer
86 views

Calculate difference of indices

The challenge is to reconstruct an n-digit number using the following information: On each step, you choose an index x from 1 to n. For all indices y (y < x), you calculate the difference by ...
8
votes
3answers
117 views

Longest 'balanced' substring

I was given a task where given a string of '0's and '1's, return the longest substring where the count of '0's and '1's are equal. I was told also that the code should be O(n) and space O(1). Below ...
6
votes
3answers
276 views

Performance analysis of 3 digits sum

I have a method that finds 3 numbers in an array that add up to a desired number. ...
10
votes
3answers
1k views

Find all paths from source to destination

Given a directed connected graphs, find all paths from source to destination. Looking for code review, optimizations and best practices. Also need help figuring out complexity, which in my best ...
7
votes
1answer
135 views

Determine total number of ways of reaching a destination

Question: One of Scotland Yard’s most wanted criminal (Mister X) is on the run and needs to reach a certain destination safely. There are three modes of transport available for him - By ...
5
votes
2answers
84 views

Genomic Range Query

Recently I worked on one of the Codility Training - Genomic Range Query (please refer to one of the evaluation report for the detail of this training). The proper approach for this question is using ...
10
votes
5answers
417 views

Refactoring my problem-solution to reduce complexity

I need some help refactoring my solution to the problem below: Problem Statement An Association of Computer Scientists meets on a weekly basis. There is a certain number of seats in the meeting ...
9
votes
2answers
472 views

'Team Split' problem

Below is my solution for this 'Team Split' problem. In summary, the problem is to find relative strength of 2 teams by finding the difference between their total strength (individual strengths can be ...
5
votes
1answer
1k views

Stable radix sort in-place using O(1) space

I am trying to implement a stable radix sort in place with O(1) space. I've seen Wikipedia, and I notice the C implementation is using a temporary variable to hold the sorted value for each pass, and ...
2
votes
2answers
1k views

Fish Food Chain O(N)

I understand that if you don't know the trick, it's not easy create a solution with a complexity of O(N). However, I would like to ask you how to solve this tricky question: You are given two ...
3
votes
1answer
131 views

Big-O complexity calculation for a merge and sort function

I have the following code which basically takes a list of sorted integer arrays and merges them together removing the duplicates. I have tried to do the complexity analysis and came to a rough ...
3
votes
0answers
252 views

Nonogram puzzle solution space

I've written some code to brute-force enumerate the solution space of nonogram puzzles up to a certain size. It does a good job up to the first ~4 billion puzzles, but I run out of disk space to store ...
5
votes
1answer
166 views

Reducing complexity of method

I'm trying to reduce the complexity of some methods, and I'm not exactly sure what approach to take. I'm currently building a PHP wrapper for a REST API, and the main problematic class is here: ...
1
vote
1answer
131 views

Performance issue of LFU-like web caching replacement algorithm

I have implemented a simulation program that runs LRU and another web caching algorithm called Sliding Window LFU. I want to compare them both in terms of the hit rate and their run time. SW-LFU works ...
6
votes
2answers
1k views

Permutation of given string

I am reading a book on DSA, and the author explains how to generate the permutation of strings using recursion. I want to know if there are better ways of doing the same, unless this is the best ...
1
vote
0answers
139 views

Space and time complexity of operation on lists

I'm new to programming and even more new to Haskell. Below is a little tid-bit I wrote that operates on a bunch of lists. I am wondering if someone would be kind enough to walk through the function ...
4
votes
1answer
86 views

Is this an efficient merge sort implementation with regards to average time complexity in Big-O notation?

Is my below merge sort implementation in O(n log n)? I am trying to implement a solution to find k-th largest element in a given integer list with duplicates with O(N*log(N)) average time complexity ...
7
votes
4answers
3k views

Checking if three numbers sum to a given number

I'm working on the following interview practice problem, and got the following solution, which runs in worst case n! time (best case constant), and I'm trying to ...
3
votes
0answers
45 views

TLE for SPOJ Upper Right King

I am solving this problem on SPOJ Upper Right King (Hard). I've written a solution in Python with a time complexity of O(n(logm)2). But it's showing TLE. Can anyone help me out with this? For more ...
2
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2answers
1k views

Fibonacci sequence implementation

This was too slow for my computer: ...
8
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3answers
237 views

Can anyone make my O(n^3) function more efficient, or offer suggestions to make handling it more efficient?

I'm trying to devise a way to calculate the mean differences (the absolute average differences between any two values in a set), of sub-arrays (starting from arbitrary indices) in an ...
2
votes
1answer
54 views

Given set of cubes can we get a given word?

Given some cubes, can cubes be arranged such that an input word can be formed from the top view of the cubes? For example: assume an imaginary cube with only 3 surfaces where ...
3
votes
2answers
309 views

Not getting Log(n) performance from quadtree

Here is my QuadTree class and node. The problem is really with Querying. In my game, I have a city which can have n * n streets (randomly generated). And each street has buildings. What I do is put ...
3
votes
5answers
373 views

count all array[index] == index occurrences

The method foo gets a sorted list with different numbers as a parameter and returns the count of all the occurrences such that: ...
1
vote
3answers
80 views

Find all consecutive sequences in an ordered set

I have the following set. a = [1,2,3,4,5] and i want to find all of the following sequences of consecutive elements: ...
6
votes
4answers
215 views

Reduce complexity of state machine method

I've asked Code Climate to generate metrics for the ftpd Ruby gem. It correctly identified the God class; I know what to do about that. But one of the smaller classes has me stumped. This is ...