def Win(n, m):

return 0 if m <= 25 else any([Lose(n-1, m-3), Lose(n-1, m-6), Lose(n-1, m//3)])

def Lose(n, m):

return 1 if m <= 25 else 0 if not n else\

all([Win(n-1, m-3), Win(n-1, m-6), Win(n-1, m//3)])

print('21)', min(m for m in range(26, 100) if not Lose(2, m) and Lose(4, m)))

def f(x, h):

if (h == 3 or h == 5) and x <= 30:

return 1

elif h == 5 and x > 30:

return 0

elif x <= 30 and h < 5:

return 0

else:

if h % 2 == 0:

return f(x - 3, h + 1) or f(x - 5, h + 1) or f(x // 4, h + 1)

else:

return f(x - 3, h + 1) and f(x - 5, h + 1) and f(x // 4, h + 1)

def f1(x, h):

if h == 3 and x <= 30:

return 1

elif h == 3 and x > 30:

return 0

elif x <=30 and h < 3:

return 0

else:

if h % 2 == 0:

return f1(x - 3, h + 1) or f1(x - 5, h + 1) or f1(x // 4, h + 1)

else:

return f1(x - 3, h + 1) and f1(x - 5, h + 1) and f1(x // 4, h + 1)

for x in range(200):

if f(x, 1) == 1:

print(x)

print("====")

for x in range(200):

if f1(x, 1) == 1:

print(x) # Ис­клю­чим эти зна­че­ния из спис­ка выше

from functools import *

def m(h):

return h//4,h-3,h-5

@lru_cache(None)

def g(h):

if h<=30:return 'w'

if any(g(i)=='w' for i in m(h)):return 'p1'

if all(g(i)=='p1' for i in m(h)):return 'v1'

if any(g(i)=='v1' for i in m(h)):return 'p2'

if all(g(i)=='p1' or g(i)=='p2' for i in m(h)):return 'v2'

for i in range(120,140):

if g(i)!= None and g(i)!='w':

print(i,g(i))