Now with 100% less coin tossing and 100% more soup:
https://godbolt.org/z/7M1x6qaqP
https://youtu.be/irA4-umtPMA
Ξ = "029A 980A 179A 456A 379A".split()
from functools import cache
def Ȣ(α, ω, ε):
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 m[α] + r == m[' '] : return Φ + θ + 'O'
if m[α] + i * 1j == m[' '] : return θ + Φ + 'O'
return (θ + Φ if ε else Φ + θ) + 'O'
def ψ(α, ω, Ϫ):
return min(ϟ(Ȣ(α, ω, False), Ϫ), ϟ(Ȣ(α, ω, True), Ϫ))
@cache
def ϟ(ξ, Ϫ):
if Ϫ == 0: return len(ξ)
return sum(ψ(ξ[i - 1], o, Ϫ - 1) for i, o in enumerate(ξ))
def Ʊ(Ϫ):
return sum(ϟ(ξ, Ϫ) * int(ξ[:-1]) for ξ in Ξ)
Γ = {'7': 0, '8': 1, '9': 2, '4': 1j, '5': 1 + 1j, '6':2 + 1j,
'1': 2j, '2': 1 + 2j, '3': 2 + 2j, ' ': 3j, '0': 1 + 3j, 'A':2 + 3j}
Δ = {' ': 0, '^': 1, 'O': 2, '<': 1j, 'v': 1 + 1j, '>': 2 + 1j}
print(Ʊ(2 + 1), Ʊ(25 + 1))
