from itertools import product

alphabet = '1234'

ap=[]

for i in product(alphabet, repeat=5):

if i.count('1') == 2:

ap.append(i)

print(len(ap))

from itertools import product

alphabet = '0123'

ap=[]

for i in product(alphabet, repeat=3):

if (i[0] != '0') and (int(i[0]) + int(i[2]) > int(i[1])):

ap.append(i)

print(len(ap))

count = 0

for i in '123':

for j in '0123':

for k in '0123':

if (int(i)+int(k)) > int(j):

count += 1

print(count)

k = 0

for a in range(1, 4): # a = 1, 2, 3

for b in range(0, 4): # b = 0, 1, 2, 3

for c in range(0, 4): # c = 0, 1, 2, 3

if (a + c) > b:

k += 1

print('a=',a,'b=',b,'c=',c,'k=',k)

from itertools import product

alphabet = '0123456'

ap=[]

for i in product(alphabet, repeat=4):

if i[0] > i[1] > i[2] > i[3]:

ap.append(i)

print(len(ap))

k = 0

for i1 in range(7):

for i2 in range(7):

for i3 in range(7):

for i4 in range(7):

if i1 > i2 and i2 > i3 and i3 > i4:

k += 1

print(k)

def f7(x):

s = ''

while x:

s = str(x%7) + s

x = x//7

return s

k = 0

for i in range(int('6666',7)+1):

s = f7(i)

if len(s) == 4 and s[0] > s[1] > s[2] > s[3] :

k+=1

print(k)

from itertools import product

count = 0

for p in product("ПЯТ­НИ­ЦА", repeat=5):

if p.count("Я") == 1 and p[0]!="Н":

count+=1

print(count)

a = {0: "П", 1: "Я", 2: "Т", 3: "Н", 4: "И", 5: "Ц", 6: "А"}

count = 0

for i in range(0, len(a)):

for j in range(0, len(a)):

for g in range(0, len(a)):

for m in range(0, len(a)):

for n in range(0, len(a)):

s = a[i] + a[j] + a[g] + a[m] + a[n]

if a[i] != 'Н' and s.count('Я') == 1:

count += 1

print(count)

import itertools

alphabet = "01234567"

cet = "0246"

necet = "1357"

ar = itertools.permutations(alphabet, 5)

arl = []

for e in ar:

arl.append(list(e))

count = 0

for e in arl:

flag = True

for i in range(len(e)-1):

if (e[i] in cet and e[i+1] in cet) or (e[i] in necet and e[i+1] in necet) or e[0] == '0' or e.count('1') != 0:

flag = False

if flag:

count += 1

print(count)

from itertools import *

word = '0234567'

count = 0

for i in permutations(word,5):

x = ''.join(i)

if x[0] != '0':

x = x.replace('7','1').replace('5','1').replace('3','1').replace('6','0').replace('4','0').replace('2','0')

if ('00' not in x) and ('11' not in x):

count += 1

print(count)

from itertools import*

s = permutations('01234567',5)

cnt = 0

for i in s:

p=''.join(i)

if p[0]!='0' and p.count('1')==0:

if int(p[0])%2 != int(p[1])%2 and int(p[1])%2 != int(p[2])%2 and int(p[2])%2 != int(p[3])%2 and int(p[3])%2 != int(p[4])%2:

cnt += 1

print(cnt)

cnt = 0

for i in range(1, 100000):

i = str(oct(i)[2:])

if len(i) == 5 and '1' not in i:

p = [int(d) for d in i]

if len(set(p)) == 5:

if all(p[i]%2 != p[i+1]%2 for i in range(4)):

cnt += 1

print(cnt)