# Questions tagged [collatz-sequence]

This tag should be used for code related to the sequences described in the Collatz conjecture.

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### Meta Collatz Sequence

Context Chapter 6 of Learn You A Haskell contains a function called chain, which outputs the Collatz sequence of a given input. (In short, it takes a natural number....
23k views

### Hailstone Sequences in Python

For the problem given: Douglas Hofstadter’s Pulitzer-prize-winning book, Gödel, Escher, Bach, poses the following mathematical puzzle. Pick a positive integer $n$ as the start. If $n$ is ...
59 views

### A Python 3 script that generates art using matplotlib

I am always super interested in both science and art, science and art are two different ways to describe the objective reality, they are two sides of the same coin, in many areas they overlap, and ...
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### Collatz conjecture with plots

I have an assignment where I write a Collatz Conjecture program for a series of starting values from 1 to N and make two plots: number of iterations vs starting value and computed numbers vs starting ...
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### Beating the compiler with a simple program finding the longest collatz sequence

I found this question in Stackoverflow asking why his/her assembly program isn't faster than the C++ program. In his/her assembly program I saw the lines ...
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### Python Automate the Boring Stuff Collatz exercise

I'm looking for some feedback on my code for the collatz function exercise in the Python book Automate the Boring Stuff. It works, but doesn't feel very elegant to me. Is there a better way to ...
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### Maximizing Efficiency of Collatz Conjecture Program Python

My question is very simple. I wrote this program for pure entertainment. It takes a numerical input and finds the length of every Collatz Sequence up to and including that number. I want to make it ...
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### How to make my Collatz Conjecture code run a lot faster? (and even better, how do I implement it into multiple computers?) Python

I have been writing this piece of code for a while now, and I was wondering, is it possible to run this code multiple times on my pc? For example could I make the code solve all the numbers from 1 to ...
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### Python - The Collatz Sequence

Can I get a review of my code for the the Collatz Sequence from Chapter three of Automate the Boring Stuff with Python? The Collatz Sequence Write a function named collatz() that has one ...
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### Project Euler Problem #277

I am trying to solve Euler project problem 277 using python 3.8. First, I will show my program and than ask specific questions for enhancements. The problem is a modified version of Collatz sequence. ...
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### Basic Collatz program with input validation in Python

In chapter 3 of Automate the Boring Stuff with Python by Al Sweigart, one exercise asks to write a program which performs the Collatz sequence. I wrote a basic version first, then added and ...
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### Collatz Conjecture Disprover Unit - Googol Edition

The Wikipedia article about the Collatz Conjecture has these quotes: If the conjecture is false, it can only be because there is some starting number which gives rise to a sequence that does not ...
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### Generator for the collatz conjecture sequence

I tried to write this code as concisely as possible. Is this the best way to do it? ...
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### Hailstone Sequence in NASM

For practice, I wrote some NASM code that prints out the hailstone sequence of a (unfortunately, hardcoded) number. This is by far the most complex code I've ever written in NASM. I'd like advice on ...
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### Collatz sequence using Python 3.x

I created this program originally for Project Euler 14. Here's the code: ...
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### Calculating a Collatz Sequence

I've written a small script to calculate Collatz sequences. For background, read here about the Collatz conjecture. Largest number I've tried so far in my implementation is 93571393692802302 (which ...
476 views

### Computational verification of Collatz conjecture using OpenCL

This code review request follows my previous request Computational verification of Collatz conjecture. Unlike the previous program (which was designed for the CPU), this code should run on modern GPUs....
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### Optimized Longest Collatz Sequence

I'm writing a program to calculate the longest collatz sequence for positive integers below some N. I have optimized it as far as I can - is there anything more I could do to optimize it? Any ...
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### Computational verification of Collatz conjecture using gmplib

Prerequisites The unsigned long type has a size of 64 bits. The following macros are defined. ...
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### Computational verification of Collatz conjecture

Prerequisites The typedef name uint128_t designates an unsigned integer type with width exactly 128 bits. The ...
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### Automate the Boring Stuff - Collatz Exercise

I wrote the following code for the Collatz exercise: The Collatz Sequence Any feedback is appreciated. Write a function named collatz() that has one parameter ...
1 vote
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### python : Collatz Sequence

I am a beginner in python. I found this problem in the book Automate the Boring Stuff with Python. How can I improve this program using latest version of python. ...
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### Finding the longest Collatz Sequence

Inspired by Project Euler 14: Longest Collatz Sequence "Which starting number, under one million, produces the longest Collatz Sequence chain?" I wrote the following Java code: ...
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### Finding the longest Collatz sequence using Go, concurrently

I am working through this problem on project euler. Basic purpose of the code: ...
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### Determine Collatz sequence length for given starting values

I am trying to get into the habit of solving programming puzzles in my spare time but am stuck on the first one (which I know can be for a large number of reasons, hence my posting for help). Shown ...
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### Testing a Collatz Conjecture Conjecture (Python)

I had an intuition that the maximal trajectory lengths for collatz conjecture numbers would be produced by numbers of the form (2**n)-1 so I wrote a program to test ...
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### Contest Solution: Hailstones

The Problem In the January 1984 issue of Scientific American, an interesting sequence of numbers known as a hailstone series was described. The series is formed by generating the next number ...
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### Automate the Boring Stuff with Python - The Collatz sequence project

I am new to programming and started learning with Automate the Boring Stuff with Python. I just completed chapter 3's "Collatz sequence" project. I was wondering what would you do differently and ...
1 vote
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### Longest Collatz sequence in Scala

I am trying to find the longest Collatz Sequence: Which starting number, ≤ N, produces the longest chain? If many possible such numbers are there print the maximum one. (1 ≤ N ≤ 5×106) I tried ...
254 views

### Collatz fractal in Rust

Among the many fractals, there is Collatz Fractal based on a complex extension of: f(x) = \left\{ \begin{array}{ll} \frac{x}{2} \space \text{if even} \\ 3x + 1 \space \text{if odd} \end{array} \...
1 vote
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### Euler Project 14 Longest Collatz Sequence [closed]

I have been working through the euler project and I have created the following code for Problem 14, which asks which starting number, under 1 million, produces the longest Collatz Sequence chain. It ...
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### Calculating the Collatz conjecture of a number

I've made a Collatz Conjecture sequence calculator and I would like some feedback on what I can do better in regards to the code I've implemented, i.e. bad practices you see, improvements that can be ...
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### Euler Project 14 (Longest Collatz Sequence)

Project Euler 14 asks: Which starting number, under one million, produces the longest Collatz sequence? I've been trying to optimize this solution to execute in less then 1s. Agenda for first 50 ...
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### Generating the Collatz sequence in F#

Below is my code for building the collatz sequence so a given number. I'm trying to make the function tail recursive and I believe that this impelemtation is tail recursive but I'm not yet so ...
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### Project Euler problem #14 (longest Collatz chain) in Swift

This is my Swift code for finding the starting number, under one million, which produces the longest collatz chain. ...
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### Collatz Conjecture (c++)

I am new to C++ and this is my first program. The objective of this program is to fully complete the sequence called the Collatz conjecture. It concerns a sequence defined as follows: start with ...
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### Memoized Collatz sequence

Here is one of my programs that utilized memoization and array to improve performance and memory usage. The performance seems satisfactory but the memory usage is ridiculous and I can't figure out ...
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### Collatz Conjecture Meet of 2 Numbers

I need the most efficient way to calculate when the Collatz Conjecture of two numbers, a and b respectively, are the same. Here ...
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### Counting terms in Collatz sequences until 1 is reached or a limit is exceeded

My friend and I are into competitive programming and we wrote two very similar programs for a problem. His got accepted with a runtime of 0.6 s while mine didn't get accepted even after 3 s. I was ...
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### Longest Collatz sequence using dynamic programming in Java

I'm not getting where else should I optimize it. Is there any way to optimize this code any further? Just give me hints. ...
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### Project Euler #14 - Longest Collatz Sequence in Python

I recently solved Project Euler Problem 14 in Python: The following iterative sequence is defined for the set of positive integers: ...
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### UVA 100: “The 3n + 1 problem” take 2

This is my second attempt to solve this problem, my first attempt is here: UVA 100: "The 3n + 1 problem" This time I tried to take lessons from the failures and mistakes You pointed out in ...
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### "Longest Collatz sequence" in C slower than in Python 3

This tight-looped memoization-less C solution to Project Euler's problem 14 seems efficient, but ran much slower than a similarly trivial Python 3 program. For the desired ...
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### Project Euler problem 14 (longest Collatz sequence) in Swift 3

I was trying to solve Project Euler:Problem 14 using Swift 3, but it takes ages to give me an answer, which is a sign that my code is absolute garbage performance-wise. What could I do to increase the ...
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### UVA 100: "The 3n + 1 problem"

I’ve solved UVA Problem 100: The 3n + 1 problem . In short, the task was to write a program that calculates a maximum of Collatz sequence lengths for any given range of starting values. My program: <...
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### hailstone sequence using recursion in python [closed]

Douglas Hofstadter's Pulitzer-prize-winning book, Gödel, Escher, Bach, poses the following mathematical puzzle: Pick a positive integer n as the start. If n is even, divide it by 2. If n is ...
605 views

### Project Euler: Longest Collatz Sequence

The Collatz Sequence is an iterative sequence that is defined for all positive integers as such: n → n/2 (n is even) n → 3n + 1 (n is odd) If 13 were to be entered into this sequence, the result ...