№23 — #23157

from functools import lru_cache
@lru_cache(None)
def f(n, has18=False, has54=False, dcount=0, last='', streak=0):
    if n == 96:
        return 1 if (has18 ^ has54) and dcount == 1 else 0
    if n > 96:
        return 0
ans = 0
ns = streak + 1 if last == 'A' else 1
    if ns <= 2:
        ans += f(n + 1, has18 or n + 1 == 18, has54 or n + 1 == 54, dcount, 'A', ns)
ans += f(n + 5, has18 or n + 5 == 18, has54 or n + 5 == 54, dcount, 'B', 1)
    ans += f(n * 2, has18 or n * 2 == 18, has54 or n * 2 == 54, dcount, 'C', 1)
x = n * n
    if x <= 96 and dcount < 1:
        ans += f(x, has18 or x == 18, has54 or x == 54, dcount + 1, 'D', 1)
x = n + max(map(int, str(n)))
    if x <= 96:
        ans += f(x, has18 or x == 18, has54 or x == 54, dcount, 'E', 1)
return ans
raw = f(6)
print(raw % 91)