

'''simple docstring'''







import math
def       UpperCAmelCase__    (      UpperCAmelCase__				)			->			list[int]:
       A_						=      []
       A_						=      2
       A_						=      int(math.sqrt(UpperCAmelCase__				)				)  # Size of every segment
       A_						=      [True] * (end + 1)
       A_						=      []

       while start <= end:
              if temp[start] is True:
                     in_prime.append(UpperCAmelCase__				)
                     for i in range(start * start,       end + 1,       UpperCAmelCase__				):
                            A_						=      False
              start += 1
       prime += in_prime

       A_						=      end + 1
       A_						=      min(2 * end,       UpperCAmelCase__				)

       while low <= n:
              A_						=      [True] * (high - low + 1)
              for each in in_prime:
                     A_						=      math.floor(low / each				) * each
                     if t < low:
                            t += each

                     for j in range(UpperCAmelCase__,       high + 1,       UpperCAmelCase__				):
                            A_						=      False

              for j in range(len(UpperCAmelCase__				)				):
                     if temp[j] is True:
                            prime.append(j + low				)

              A_						=      high + 1
              A_						=      min(high + end,       UpperCAmelCase__				)

       return prime







print(sieve(10**6))



'''simple docstring'''







def       UpperCAmelCase__    (      UpperCAmelCase__,       UpperCAmelCase__,       UpperCAmelCase__ = 0,       UpperCAmelCase__ = 0				)			->			int:
       A_						=      right or len(UpperCAmelCase__				) - 1
       if left > right:
              return -1
       elif list_data[left] == key:
              return left
       elif list_data[right] == key:
              return right
       else:
              return search(UpperCAmelCase__,       UpperCAmelCase__,       left + 1,       right - 1				)


if __name__ == "__main__":
      import doctest

      doctest.testmod()
