# Questions tagged [fastest-code]

The winner of a fastest-code challenge is determined by the runtime performance of the submissions. For fairness, all submissions should be benchmarked on the same machine, which usually means all submissions have to be tested by the host of the challenge. For scoring by asymptotic time complexity, use [fastest-algorithm] instead.

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### How slow is Python really? (Or how fast is your language?)

I have this code which I have written in Python/NumPy ...
11k views

### Contest: fastest way to sort a big array of Gaussian-distributed data

Following the interest in this question, I thought it would be interesting to make answers a bit more objective and quantitative by proposing a contest. The idea is simple: I have generated a binary ...
11k views

### Calculate the number of primes up to n

π(n) is the number of primes less than or equal to n. Input: a natural number, n. Output: π(n). Scoring: This is a fastest-code challenge. Score will be the sum of times for the score cases. I ...
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### How Slow Is Python Really (Part II)?

This is a follow up to How slow is Python really? (Or how fast is your language?). It turns out it was a bit too easy to get a x100 speedup for my last question. For those who have enjoyed the ...
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### Extending OEIS: Counting Diamond Tilings

I promise, this will be my last challenge about diamong tilings (for a while, anyway). On the bright side, this challenge doesn't have anything to do with ASCII art, and is not a code golf either, so ...
3k views

### Help Indiana Jones to get the treasure

Story Indiana Jones was exploring a cave where a precious treasure is located. Suddenly, an earthquake happened. When the earthquake ended, he noticed that some rocks that had fallen from the ...
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### Find the largest prime whose length, sum and product is prime

The number 113 is the first prime whose length 3 is prime, digital sum 5 = 1 + 1 + 3 is ...
8k views

### How high can you go? (A coding+algorithms challenge)

Now that everyone has developed their (often amazing) low level coding expertise for How slow is Python really? (Or how fast is your language?) and How Slow Is Python Really (Part II)? it is time for ...
7k views

### Fastest yes in the west

There has been a question about yes in the past, but this one is slightly different. You see, despite yes having a rather long size, it is incredibly fast. Running ...
14k views

### Fastest semiprime factorization

Write a program to factorize a semi-prime number in the shortest amount of time. For testing purposes, use this: 38!+1 (523022617466601111760007224100074291200000001) It is equal to: ...
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### Bentley's coding challenge: k most frequent words

This is perhaps one of the classical coding challenges that got some resonance in 1986, when columnist Jon Bentley asked Donald Knuth to write a program that would find k most frequent words in a file....
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### Calculate the permanent as quickly as possible

The challenge is to write the fastest code possible for computing the permanent of a matrix. The permanent of an n-by-n matrix ...
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### Approximating a special case of the Riemann Theta function

This challenge is to write fast code that can perform a computationally difficult infinite sum. Input An n by n matrix ...
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### Fastest Mini-Flak Quine

Mini-Flak is a subset of the Brain-Flak language, where the <>, <...> and [] ...
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### Delete some bits and count

Consider all 2^n different binary strings of length n and assume n > 2. You are allowed ...
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### Prime containment numbers (speed edition)

This is sequence A054261 The $n$th prime containment number is the lowest number which contains the first $n$ prime numbers as substrings. For example, the number $235$ is the lowest number ...
751 views

In this fastest-code challenge, you are provided with a set of $n$ identical blocks and need to determine how many unique buildings can be constructed with them. Buildings must satisfy the following ...
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### Compute the maximum number of runs possible for as large a string as possible

[This question is a follow up to Compute the runs of a string ] A period p of a string w is any positive integer ...
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### The fastest Sudoku solver

Winner found It seems as if we have a winner! Unless anyone plans on contesting the world's current fastest Sudoku solver, user 53x15 wins with the staggeringly fast solver Tdoku. For anyone still ...
956 views

### Fastest Home Prime Generator

What is a home prime? For an example, take HP(4). First, find the prime factors. The prime factors of 4 (in numerical order from least to greatest, always) are 2, 2. Take those factors as a literal ...
19k views

### Super speedy totient function

The goal is simple: calculate the totient function for as many numbers as you can in 10 seconds and sum the numbers. You must print your result at the end and you must actually calculate it. No ...
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### Build an Electrical Grid

The Challenge There are N cities aligned in a straight line. The i-th city is located A[i] kilometers to the right of the origin. No two cities will be in the same ...
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### The Missing Number Revised

Background: I originally posted this question last night, and received backlash on its vagueness. I have since consulted many personnel concerning not only the wording of the problem, but also its ...
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### Products that equal a sum and vice versa

A fun pair of equivalences is 1 + 5 = 2 · 3 and 1 · 5 = 2 + 3. There are many like these, another one is 1 + 1 + 8 = 1 · 2 · 5 and 1 · 1 · 8 = 1 + 2 + 5. In ...
656 views

### Plant trees in a park - As fast as you can!

This challenge is inspired by this app. The test cases are borrowed from that app. This is a fastest-code challenge, where the objective is to solve the largest test cases in the least amount of time....
559 views

### Forming Polyominoes with a Chain of Rods

Background Consider a (closed) chain of rods, each of which has integer length. How many distinct hole-free polyominoes can you form with a given chain? Or in other words, how many different non-self-...
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### Sum of smallest prime factors

SF(n) is a function which computes the smallest prime factor for a given number n. We'll call T(N) the sum of every SF(n) with 2 <= n <= N. T(1) = 0 (the sum is over 0 summands) T(2) = 2 (2 ...
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### Find the number of n-by-n (-1, 0, 1) matrices with zero permanent as quickly as possible

The permanent of an $n$-by-$n$ matrix $A = (a_{i,j})$ is defined as: $$\operatorname{perm}(A)=\sum_{\sigma\in S_n}\prod_{i=1}^n a_{i,\sigma(i)}$$ For a fixed $n$, consider the $n$-by-$n$ ...
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### The number of possible numeric outcomes of parenthesizations of 2^2^…^2

Consider an expression 2^2^...^2 with n operators ^. Operator ...
920 views

### Finding all-but-one matches

This challenge is about writing code to solve the following problem. Given two strings A and B, your code should output the start and end indices of a substring of A with the following properties. ...
18k views

### Fastest code to find the next prime

The problem is as follows. Input: An integer n Output: The smallest prime bigger than n. The challenge is to give the ...
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### Fastest tweetable integer factorizer

The task is to find a non-trivial factor of a composite number. Write code that finds a non-trivial factor of a composite number as quickly as possible subject to your code being no more than 140 ...
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### Longest non-repeating Game-of-Life sequence

Given a positive integer N, determine the starting pattern on a N x N-grid that yield the longest non-repeating sequence under Game of Life-rules, and ends with a fixed pattern (cycle of length 1), ...
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### Fastest player for Dots and Boxes

The challenge is to write a solver for the classic pencil and paper game Dots and Boxes . Your code should take two integers m and ...
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### Find all the Solutions to this Number Puzzle in the Shortest Time Possible

History My company sends out a weekly newsletter to everyone within the company. Included in these newsletters is a riddle, along with a shoutout to whomever in the company was the first to email/...
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### Fast Trig Calculation

Fast Trigonometry Calculations Your task is to create a program which can calculate the sine, cosine and tangent of an angle in degrees. Rules No built-in trigonometry functions (not even secant, ...
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### Permutations such that no k+2 points fall on any polynomial of degree k

Description Let a permutation of the integers {1, 2, ..., n} be called minimally interpolable if no set of k+2 points (together ...
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### Fastest Sort in BrainF***

After having implemented QuickSort in BrainF***, I realized it probably wasn't that quick. Operations that are O(1) in normal languages (like array indexing) are significantly longer in BF. Most of ...
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### Integral triangles and integral medians

Consider a triangle ABC where each side has integer length (an integral triangle). Define a median of ABC to be a line segment from a vertex to the midpoint of the opposing side. In the figure below, ...
285 views

### Acyclic orientations of an n-dimensional cube

The goal of this challenge is to check and extend the OEIS sequence A334248: Number of distinct acyclic orientations of the edges of an n-dimensional cube. Take an n-dimensional cube (if n=1, this is ...
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### Finding approximate correlations

Consider a binary string S of length n. Indexing from 1, we can compute the Hamming ...
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### Find the maximum determinant for each size Toeplitz matrix

For a fixed n, consider the n by n Toeplitz matrices with entries which are either 0 or 1. The aim is to find maximum determinant over all such Toeplitz matrices. Task For each ...
603 views

### Calculate the average longest common substring exactly

[Question inspired by Can you calculate the average Levenshtein distance exactly? . Thank you Anush. ] The longest common substring between two strings is the longest substring which is common to ...
750 views

### Quickly express a number with only 0-9 and the four operations, plus one more extra

Explanation Befunge is a two-dimensional program that uses stacks. That means, to do 5 + 6, you write 56+, meaning: ...
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### Fastest python code to find a set of winning words in this game

This is a word game from a set of activity cards for children. Below the rules is code to find the best triplet using /usr/share/dict/words. I thought it was an interesting optimization problem, and ...
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### Digit sum of central binomial coefficients

The task is simply to see how much faster you can calculate n choose n/2 (for even n) than the builtin function in python. Of course for large n this is a rather large number so rather than output ...
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### Can you calculate the average Levenshtein distance exactly?

The Levenshtein distance between two strings is the minimum number of single character insertions, deletions, or substitutions to convert one string into the other one. The challenge is to compute ...
873 views

### Be an Epidemiologist!

Challenge You must create a simple model of how disease spreads around a group of people. Rules and Requirements The model must be a 1000 by 1000 2D array with each element being a different person....