"""simple docstring"""



from __future__ import annotations

def  _A(		lowerCAmelCase			,  lowerCAmelCase = None							):
							A__       :     List[Any]								=			word_bank or []
							# create a table
							A__       :     int								=			len(lowerCAmelCase							) + 1

							A__       :     list[list[list[str]]]								=			[]
							for _ in range(lowerCAmelCase							):
														table.append([]							)
							# seed value
							A__       :     Union[str, Any]								=			[[]]  # because empty string has empty combination

							# iterate through the indices
							for i in range(lowerCAmelCase							):
														# condition
														if table[i] != []:
																					for word in word_bank:
																												# slice condition
																												if target[i : i + len(lowerCAmelCase							)] == word:
																																			A__       :     list[list[str]]								=			[
																																			    [word, *way] for way in table[i]
																																			]
																																			# adds the word to every combination the current position holds
																																			# now,push that combination to the table[i+len(word)]
																																			table[i + len(lowerCAmelCase							)] += new_combinations

    # combinations are in reverse order so reverse for better output
							for combination in table[len(lowerCAmelCase							)]:
														combination.reverse()

							return table[len(lowerCAmelCase							)]


if __name__ == "__main__":
				print(all_construct("jwajalapa", ["jwa", "j", "w", "a", "la", "lapa"]))
				print(all_construct("rajamati", ["s", "raj", "amat", "raja", "ma", "i", "t"]))
				print(
				    all_construct(
				        "hexagonosaurus",
				        ["h", "ex", "hex", "ag", "ago", "ru", "auru", "rus", "go", "no", "o", "s"],
				    )
				)






"""simple docstring"""



import math
from collections.abc import Iterator
from itertools import takewhile

def  _A(		lowerCAmelCase							):

							if 1 < number < 4:
														# 2 and 3 are primes
														return True
							elif number < 2 or number % 2 == 0 or number % 3 == 0:
														# Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
														return False

							# All primes number are in format of 6k +/- 1
							for i in range(5			,  int(math.sqrt(lowerCAmelCase							) + 1							)			,  6							):
														if number % i == 0 or number % (i + 2) == 0:
																					return False
							return True

def  _A(		):
							A__       :     List[str]								=			2
							while True:
														if is_prime(lowerCAmelCase							):
																					yield num
														num += 1

def  _A(		lowerCAmelCase = 200_0000							):
							return sum(takewhile(lambda lowerCAmelCase							: x < n			,  prime_generator()							)							)


if __name__ == "__main__":
				print(F'{solution() = }')





