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# 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 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 ...
630 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....
208 views

### Tips for Fastest Code challenges [closed]

What general tips do you have for how to answer fastest-code challenges? Please post one tip per answer. The objective of these challenges is to make the program that will run in the least amount of ...
446 views

### Compute OEIS A005434

The task is to compute OEIS A005434 as quickly as possible. Consider a binary string S of length n. Indexing from ...
1k views

### Finding approximate correlations

Consider a binary string S of length n. Indexing from 1, we can compute the Hamming ...
381 views

### Fastest Approximate Common Divisor

Overview In this challenge, you will be given two numbers which are both a small offset larger than a multiple of a medium-size number. You must output a medium-sized number that is almost a divisor ...
807 views

### Break the broken cipher

I have designed a simple random generator that cycles two numbers in a chaotic way using a multiply and modulus method. It works great for that. If I were to use it as a cipher generator it would ...
990 views

### Count the number of Hamming distance sequences

The Hamming distance between two strings of equal length is the number of positions at which the corresponding symbols are different. Let P be a binary string of ...
971 views

### Count how many distance sequences are far from all others

The Hamming distance between two strings of equal length is the number of positions at which the corresponding symbols are different. Let P be a binary string of ...
862 views

### Longest mathematical expression in a grid

Given a grid which contains these signs: 0..9, x, =, write the fastest code that outputs the longest string of connected (horizontally, vertically, and diagonally adjacent), distinct cells which is a ...
3k views

### 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), ...
169 views

### Google search result short summary [closed]

Intro When you search in google, it always shows you a result with a sample text from the found webpage. For example if you search for "Madonna greatest vinyl", google will show you one line link, ...
274 views

### Generalization of Eight Queen Puzzle [closed]

Here's one generalized version of the famous Eight Queen's Puzzle: Given an n × n chess board, and an integer ...
455 views

### The Tax Historian

Introduction There is a tax collector that has some trouble managing the taxes of his kingdom: the historical records have burnt down in a great fire. He wants to find out how many possible pasts ...
896 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 ...
3k views

### Un-hash the Java Hash

Hash Un-hashing The basic goal of this challenge is to exploit the high probability of collision in the Java Hash function to create a list of plausible inputs that created an outputted hash. The ...
6k views

### How much can you quickly multiply?

With the recent Python bashing, here's an attempt to show Python's strengths. Your challenge is to write a program that calculates the factorial of as high a number ...
3k views

### Carmichael Numbers

EDIT: I am changing the challenge. Write a program to print Carmichael numbers. The challenge is to print the maximum number of them in less than 5 secs. The numbers should be in increasing order. ...
1k views

### position of the only 1 in a number in binary format [closed]

Every number of the form 2i (where i is a non-negative integer) has a single 1 in its binary representation. Given such a number, output the 1-based position of the ...
317 views

### Read a crossword with a twist!

Similar to this question, but this is a crossword variation! Instead of only one letter per grid square, you can have one or two. Input: A 2d array, or whatever works in your language. You can ...
2k views

### 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 ...
378 views

### Help the poor Cryptographers - DLP Edition

Introduction and Motivation I'm mainly active on Cryptography.SE and as such have already stumbled across the question: "How the hell am I supposed tools like cado-nfs to do stuff!?". They are super-...
2k views

### 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 ...
664 views

### 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/...
18k 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 ...
727 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: ...
9k views

### Triangle Puzzle [closed]

Triangle Puzzle Consider the triangle below. This triangle would be represented by the following input file.    5   9 6  4 6 8 0 7 1 5 By starting at the top and ...
2k views

### Lottery Ball Problem

A woman works at a lottery ball factory. She's instructed to open up a lottery ball creation kit composed of 1 red rubber ball and n strips of digits from 0 through 9. She's instructed to do the ...
805 views

### Coding a recursive function for highest possible input

Challenge You are given the following function:- which is the same as:- with the base cases q(r, b, L) = 1 whenever r ≤ L, q(r, 0, L) = 0, if r > L and q(r, 0, L) = 1, if r ≤ L. Your task is to ...
467 views

### Count balanced binary strings matching any of a set of masks

A binary string is a string which contains only characters drawn from 01. A balanced binary string is a binary string which contains exactly as many 0​s as 1​s. You are given a positive ...
516 views

### Tic-tac-toe with only crosses as quick as possible

As per Luke's request and Peter Taylor's addition to this challenge. Introduction Everyone knows the game tic-tac-toe, but in this challenge, we are going to introduce a little twist. We are only ...
297 views

### Reproportioning a population by adding fixed sized groups

Introduction Say you have a population of people. This population is made up of 100 Alices and 25 Bobs. So, 80% of the population are Alices and 20% are Bobs. We want to change the proportional ...
694 views

### Constructing an Orthogonal-Diagonal Greco-Latin Square

Consider a grid of NxN unique elements. Each element has a letter (from A to the Nth letter,...
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 ...
668 views

### Counting orthogonal circulant matrices

Two rows of a matrix are orthogonal if their inner product equals zero. Call a matrix with all rows pairwise orthogonal an orthogonal matrix. A circulant matrix is one where each row vector is rotated ...
19k views

### 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 ...
3k views

### 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 ...
260 views

### Set Theoretic Arithmetic (+ and *) [closed]

Set Theoretic Arithmetic Premise There have been a couple challenges already that involve multiplying without the multiplication operator ( here and here ) and this challenge is in the same vein (...
1k views

### Fastest Longest Common Subsequence Finder

Your task is to solve the Longest Common Subsequence problem for n strings of length 1000. A valid solution to the LCS problem for two or more strings S1, … Sn is any string T of maximal ...
1k views

### 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 ...
579 views

### Too many pawns on a chess board

Given an integer 2n, find the number of possible ways in which 2n^2 black pawns and 2n^2 white pawns can be arranged on a 2n by 2n chess board such that no pawn attack another. A black pawn can ...
632 views

### Covering Array Validator

A covering array is an N by k array in which each element is one of {0, 1, ..., v-1} (so v ...
2k views

### Snakes and Ladders probability of winning

(This is my first Q here, and I don't know much about code golfing.) Your aim is to predict the winner of an ongoing Snakes and Ladders game. INPUT A single number (2-1000) indicating the number of ...
813 views

### Probabilities - how high can you go?

I previously asked a question for how to compute a probability quickly and accurately. However, evidently it was too easy as a closed form solution was given! Here is a more difficult version. This ...
1k views

### Calculate a probability exactly and quickly

[This is a partner question to Calculate a probability exactly ] This task is about writing code to compute a probability exactly and quickly. The output should be a precise probability written as a ...
572 views

### Compute 30000 Digits of Pi (π), as Fast as Possible [duplicate]

Compute 30000 digits of the mathematical constant π, with the fastest code. Implement in any computer programming language that I can run in my 64 bit Linux machine. You should provide your compiler ...
613 views

### Supersonic domino tilings

Task Write a program that reads three integers m, n either from STDIN or as command-line arguments, prints all possible tilings of a rectangle of dimensions m × n by 2 × 1 and 1 × 2 dominos and ...
40 views

### Searching for a sum [duplicate]

In this challenge you will take two inputs One input will be a string of numbers of any length which you will put into an array/table/whatever you call it in your language Ex: ...