Lunar Arithmetic in Rust

I’ve been playing with various languages / language design a lot recently (inspired by my Runelang series). As I tweak and change what I’d like to implement in a language… I kept finding myself coming back to more or less exactly how Rust looks (albeit without the borrowing). So… that seems like a pretty good reason to start picking up some Rust. In another thread of thought, I stumbled upon two OEIS (on-line encyclopedia of integer sequences) sequences: A087061: Array T(n,k) = lunar sum n+k (n >= 0, k >= 0) read by antidiagonals and A087062: Array T(n,k) = lunar product n*k (n >= 1, k >= 1) read by antidiagonals.


AoC 2021 Day 25: Cucumbinator

Source: Sea Cucumber

Part 1: Load a grid of empty cells (.), east movers (>), and south movers (v). Each step, move all east movers than all south movers (only if they can this iteration). Wrap east/west and north/south. How many steps does it take the movers to get stuck?


AoC 2021 Day 19: Point Matchinator

Source: Snailfish

Part 1: You will be given a series of Scanners, each of which will tell you the location (from their point of view) of a series of Beacons. Each Scanner may be flipped or rotated in increments of 90 degrees in any direction. Determine where each Scanner and Beacon is by overlaying the maps (with at least pairwise 12 matches).


AoC 2021 Day 11: Octopus Flashinator

Source: Dumbo Octopus

Part 1: Simulate a grid of numbers such that on each tick: advance all numbers by 1, any number that increases over 9 will ‘flash’ and add 1 to all neighbors (recursively, but each cell can only flash once) and then reset to 0. Count the number of flashes in the first 100 ticks.


Tupper's self-referential formula

Quick post today. Let’s implement Tupper's self-referential formula in Racket!

\frac{1}{2} < \left \lfloor mod \left ( \left \lfloor \frac{y}{17} 2^{-17 \lfloor x \rfloor - mod(\lfloor y \rfloor, 2)} \right \rfloor, 2 \right ) \right \rfloor
(tupper 960939379918958884971672962127852754715004339660129306651505519271702802395266424689642842174350718121267153782770623355993237280874144307891325963941337723487857735749823926629715517173716995165232890538221612403238855866184013235585136048828693337902491454229288667081096184496091705183454067827731551705405381627380967602565625016981482083418783163849115590225610003652351370343874461848378737238198224849863465033159410054974700593138339226497249461751545728366702369745461014655997933798537483143786841806593422227898388722980000748404719)

That’s the result of graphing the above function at a point rather far away from the origin. Specifically, where y is around that crazy big number. Look familiar?