zadachi

zadachi


2

def factorize(n):

  ans = {}

  d = 2

  while d * d <= n:

    while n % d ==0:

      ans[d] = ans.get(d, 0) + 1

      n //= d

    d += 1

  if n > 1:

    ans[n] = 1

  return ans 


n = int(input())

ans = factorize(n)

key = list(ans.keys())[0]

print(key,end='')

for i in range(1,ans[key]):

    print(f'*{key}',end = '')

for key1 in ans.keys():

  if key1 == key:

    continue

  for i in range(ans[key1]):

    print(f'*{key1}',end = '')

3

def factorize(n):

    ans = {}

    d = 2

    while d * d <= n:

        while n % d ==0:

            ans[d] = ans.get(d, 0) + 1

            n //= d

        d += 1

    if n > 1:

        ans[n] = 1

    return ans


n = int(input())

ans = factorize(n)

key = list(ans.keys())[0]

print(key,end='')

if ans[key] > 1:

    print(f'^{ans[key]}',end='')

for key1 in ans.keys():

    if key1 == key:

        continue

    print(f'*{key1}',end = '')

    if ans[key1] > 1:

        print(f'^{ans[key1]}',end='')


4

def sieve_of_Eratosthenes(n):

  prime = [False, False] + [True] * (n-1)

  for i in range(2, n + 1):

    if not prime[i]:

      continue

    for j in range(i * i, n + 1, i):

      prime[j] = False

  return prime 


n = int(input())

print(sum(sieve_of_Eratosthenes(n*2)[n:]))


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