"""simple docstring"""


from __future__ import annotations







def 					__a   (		A    ,				A = None      ):






     '''simple docstring'''



     lowercase__				 =							word_bank or []
     # create a table
     lowercase__				 =							len(a_      ) + 1

     lowercase__				 =							[]
     for _ in range(a_      ):
          table.append([]      )
     # seed value
     lowercase__				 =							[[]]  # because empty string has empty combination

     # iterate through the indices
     for i in range(a_      ):
          # condition
          if table[i] != []:
               for word in word_bank:
                    # slice condition
                    if target[i : i + len(a_      )] == word:
                         lowercase__				 =							[
                             [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(a_      )] += new_combinations

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

     return table[len(a_      )]


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"""


from __future__ import annotations

import math







def 					__a   (		A      ):






     '''simple docstring'''



     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(A      ) + 1      )    ,				6      ):
          if number % i == 0 or number % (i + 2) == 0:
               return False
     return True


lowerCAmelCase_:					Optional[Any]     =					[num for num in range(3, 1_0_0_0_0_1, 2) if not is_prime(num)]







def 					__a   (		A      ):






     '''simple docstring'''



     if not isinstance(A    ,				A      ):
          raise ValueError("n must be an integer"      )
     if n <= 0:
          raise ValueError("n must be >= 0"      )

     lowercase__				 =							[]
     for num in range(len(A      )      ):
          lowercase__				 =							0
          while 2 * i * i <= odd_composites[num]:
               lowercase__				 =							odd_composites[num] - 2 * i * i
               if is_prime(A      ):
                    break
               i += 1
          else:
               list_nums.append(odd_composites[num]      )
               if len(A      ) == n:
                    return list_nums

     return []







def 					__a   (		):






     '''simple docstring'''



     return compute_nums(1      )[0]


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




