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from fileinput import input
from functools import cache
from itertools import takewhile
inp = map(str.strip, input())
towels = [t.strip() for t in next(takewhile(bool, inp)).split(",")]
designs = [d for d in inp if d]
# Construct trie
trie = {}
for towel in towels:
prev = None
curr = trie
for t in towel:
term, succ = curr.setdefault(t, (False, {}))
prev = curr
curr = succ
prev[towel[-1]] = (True, curr)
@cache
def steps(design, n=0):
if n == len(design):
return 1
ways = 0
curr = trie
for d, s in enumerate(design[n:], start=1):
if s not in curr:
return ways
term, curr = curr[s]
if term:
ways += steps(design, n + d)
return ways
silver = sum(map(bool, map(steps, designs)))
gold = sum(map(steps, designs))
print("silver:", silver)
print("gold:", gold)
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