Puzzles

Advent of Code 2025: Day 02
Advent of Code 2025: Day 02

Day 2 of Advent of Code 2025 is a satisfying dive into pattern detection over numeric ranges, starting with pairs of repeated digit sequences and then generalising to any number of repeats. The Python solution below uses straightforward string slicing and chunking to get the job done with clear, …

Advent of Code 2025: Day 01
Advent of Code 2025: Day 01

Day 1 of Advent of Code 2025 is a neat exercise in modular arithmetic, where you track a circular dial and count how often it hits zero. Part 1 counts only the zeros landed on at the end of rotations, and Part 2 upgrades that to count every click that passes through zero mid-rotation too. In this …

Advent of Code 2025: Preparations
Advent of Code 2025: Preparations

Advent of Code 2025 is almost here, and this year I am aiming squarely at speed and optimisation across all 12 puzzles using Python and UV. I will publish a short post every day covering the approach and performance choices, and you are very welcome to join in using whichever language you want to …

Sudoku Series: Implementing Wing Rules
Sudoku Series: Implementing Wing Rules

The next rules to implement for the Sudoku solver are called wing rules. There are a few of these rules used in solving Sudoku, but some are hard to identify and are for very advanced solves. The two needed to solve most Sudoku puzzles are called XY-Wing and XYZ-Wing:

  • XY-Wing uses a pivot cell with …

Advent of Code 2024 Ruby Solutions: Day 7
Advent of Code 2024 Ruby Solutions: Day 7

Day 7 of Advent of Code 2024 boils down to testing all left-to-right operator choices between fixed numbers and summing the targets that are achievable, and a compact base-k iterator in Ruby keeps both parts small, clear, and fast. You can browse the rest of this series under Advent of Code. The …

Advent of Code 2024 Ruby Solutions: Day 6
Advent of Code 2024 Ruby Solutions: Day 6

First I’d like to apologise that this is the second week in a row that I’ve covering Advent of Code. I’ve not had as much time to write this week as I’d like to. I will try to get something more substantial out in the following weeks.

Day 6 of Advent of Code 2024 turned out …

Advent of Code 2024 Ruby Solutions: Day 5
Advent of Code 2024 Ruby Solutions: Day 5

Day 5 of Advent of Code 2024 is all about enforcing page ordering rules and pulling the “middle” value out at the right time, and my Ruby solution keeps it tidy with a small helper, a simple validator, and a lightweight reordering trick for the second half. If you want to browse …

Sudoku Series: Implementing the Fish Rules
Sudoku Series: Implementing the Fish Rules

The next rules to implement for the Sudoku solver are called the fish rules. There are three versions of these rules but they all share the same principles:

  • X-Wing works with a 2x2 fish pattern.
  • Swordfish works with a 3x3 fish pattern.
  • Jellyfish works with a 4x4 fish pattern.

If you like this post …

Advent of Code 2024 Ruby Solutions: Day 4
Advent of Code 2024 Ruby Solutions: Day 4

Day 4 of Advent of Code 2024 turns a simple word search into a neat grid‑traversal exercise, and my Ruby solution keeps it readable, fast, and precise. This post explains the requirements for both parts, then walks through how the code solves them, including how diagonals and boundaries are handled. …

Sudoku Series: Implementing the Locked Candidates Rule
Sudoku Series: Implementing the Locked Candidates Rule

Up until now in the Sudoku Series we’ve implemented a number of rules for Sudoku solving. I had been trying to remember the name of an old iPhone Sudoku app I used to enjoy. The reason I wanted to find it was that it used to be good at reviewing a puzzle and telling you what the next logical …

Advent of Code 2024 Ruby Solutions: Day 3
Advent of Code 2024 Ruby Solutions: Day 3

Advent of Code is an annual event that invites programmers to solve a series of themed puzzles each December, and this post is the third in my ongoing series for 2024. Day 3, “Mull It Over”, seemed simple at first glance: find and evaluate multiplications in a corrupted memory dump. But …

Sudoku Series: Implementing Hidden Set Rules
Sudoku Series: Implementing Hidden Set Rules

In the last Sudoku Series blog post we implemented the naked pair and the naked triple rules. In this post, we will look at implementing the hidden single, hidden pair and hidden triple rules. Applying these rules is documented on many websites, but the two I’ve liked during my research are …