>>106319121
Very easy, this is day 21 of Advent of Code 2024:
Ƶ = "029A 980A 179A 456A 379A".split()
from functools import cache
def ψ(α, ω, Ϫ):
m = Δ if α in Δ else Γ
δ = m[ω] - m[α]; r, i = int(δ.real), int(δ.imag)
Φ, θ = '^' * -i + 'v' * i, '<' * -r + '>' * r
if 0 == m[α] + r: return ϟ(Φ + θ + 'U', Ϫ)
if 0 == m[α] + i * 1j: return ϟ(θ + Φ + 'U', Ϫ)
return min(ϟ(θ + Φ + 'U', Ϫ), ϟ(Φ + θ + 'U', Ϫ))
@cache
def ϟ(σ, Ϫ):
if 0 == Ϫ: return len(σ)
return sum(ψ(σ[i - 1], o, Ϫ - 1) for i, o in enumerate(σ))
def Ʊ(Ϫ):
return sum(ϟ(σ, Ϫ) * int(σ[:-1]) for σ in Ƶ)
Γ = {'7': -3j, '8': 1 - 3j, '9': 2 - 3j, '4': -2j, '5': 1 - 2j, '6': 2 - 2j,
'1': -1j, '2': 1 - 1j, '3': 2 - 1j, '0': 1, 'A': 2}
Δ = {'^': 1, 'U': 2, '<': 1j, 'v': 1 + 1j, '>': 2 + 1j}
print(Ʊ(2 + 1), Ʊ(25 + 1))
https://godbolt.org/z/hje5r3zMM
