Compute coefficients for FA Cup probability trees. See https://www.rmorrison.net/mnemozzyne/2023/01/24/optimising-the-fa-cup/
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""" | |
Compute coefficients for FA Cup probability trees. | |
See https://www.rmorrison.net/mnemozzyne/2023/01/24/optimising-the-fa-cup/ | |
""" | |
from typing import List | |
from dataclasses import dataclass | |
@dataclass | |
class Fixture: | |
hosts: str | |
visitors: str | |
history: str | |
@dataclass | |
class Round: | |
fixtures: List[Fixture] | |
def __str__(self): | |
all_journeys = "".join([f.history for f in self.fixtures]) | |
coefficients = [f"{all_journeys.count(c)}{c}" for c in "hax"] | |
return "(" + " + ".join([c for c in coefficients]) + f") / {len(self.fixtures)}" | |
rounds = [Round(fixtures=[Fixture(hosts="h", visitors="a", history="h")])] | |
for r in range(0, 5): | |
new_round = Round(fixtures=[]) | |
prev_round = rounds[r] | |
for f in prev_round.fixtures: | |
new_round.fixtures.append(Fixture(f.hosts, "x", f.history + f.hosts)) | |
new_round.fixtures.append(Fixture("x", f.hosts, f.history + "x")) | |
new_round.fixtures.append(Fixture(f.visitors, "x", f.history + f.visitors)) | |
new_round.fixtures.append(Fixture("x", f.visitors, f.history + "x")) | |
rounds.append(new_round) | |
print(new_round) |
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