






"""simple docstring"""
import unittest
from timeit import timeit






def 			lowerCamelCase_    (		_lowerCamelCase     ,  _lowerCamelCase							):
 lowerCamelCase__	:     Dict								=		first_num if first_num >= second_num else second_num
 lowerCamelCase__	:     Dict								=		max_num
 while (common_mult % first_num > 0) or (common_mult % second_num > 0):
  common_mult += max_num
 return common_mult






def 			lowerCamelCase_    (		_lowerCamelCase     ,  _lowerCamelCase							):
 return b if a == 0 else greatest_common_divisor(b % a     ,  _lowerCamelCase							)






def 			lowerCamelCase_    (		_lowerCamelCase     ,  _lowerCamelCase							):
 return first_num // greatest_common_divisor(_lowerCamelCase     ,  _lowerCamelCase							) * second_num






def 			lowerCamelCase_    (		):
 lowerCamelCase__	:     Tuple								=		(
     'from __main__ import least_common_multiple_slow, least_common_multiple_fast'
 )
 print(
     'least_common_multiple_slow():'     ,  timeit('least_common_multiple_slow(1000, 999)'     ,  setup=_lowerCamelCase							)     ,  )
 print(
     'least_common_multiple_fast():'     ,  timeit('least_common_multiple_fast(1000, 999)'     ,  setup=_lowerCamelCase							)     ,  )



class 						a_ (      unittest.TestCase					):







      '''simple docstring'''

      lowerCamelCase__			:							str					=      (
          (10, 20),
          (13, 15),
          (4, 31),
          (10, 42),
          (43, 34),
          (5, 12),
          (12, 25),
          (10, 25),
          (6, 9),
      )
      lowerCamelCase__			:							Optional[Any]					=      (20, 195, 124, 210, 1_462, 60, 300, 50, 18)




      def      a__				(self   ):

       '''simple docstring'''



       for i, (first_num, second_num) in enumerate(self.test_inputs   ):
        lowerCamelCase__	:     List[str]								=		least_common_multiple_slow(lowerCamelCase_,	lowerCamelCase_   )
        lowerCamelCase__	:     Optional[Any]								=		least_common_multiple_fast(lowerCamelCase_,	lowerCamelCase_   )
        with self.subTest(i=lowerCamelCase_   ):
         self.assertEqual(lowerCamelCase_,	self.expected_results[i]   )
         self.assertEqual(lowerCamelCase_,	self.expected_results[i]   )


if __name__ == "__main__":
      benchmark()
      unittest.main()









"""simple docstring"""
def 			lowerCamelCase_    (		_lowerCamelCase     ,  _lowerCamelCase     ,  _lowerCamelCase     ,  _lowerCamelCase     ,  _lowerCamelCase     ,  _lowerCamelCase     ,  ):
 lowerCamelCase__	:     Any								=		list(_lowerCamelCase							)
 lowerCamelCase__	:     List[Any]								=		list(_lowerCamelCase							)
 lowerCamelCase__	:     int								=		len(_lowerCamelCase							)
 lowerCamelCase__	:     Optional[int]								=		len(_lowerCamelCase							)

 lowerCamelCase__	:     Tuple								=		[
     [0 for _ in range(len_destination_seq + 1							)] for _ in range(len_source_seq + 1							)
 ]
 lowerCamelCase__	:     Dict								=		[
     ['0' for _ in range(len_destination_seq + 1							)] for _ in range(len_source_seq + 1							)
 ]

 for i in range(1     ,  len_source_seq + 1							):
  lowerCamelCase__	:     Optional[int]								=		i * delete_cost
  lowerCamelCase__	:     List[str]								=		f'''D{source_seq[i - 1]:c}'''

 for i in range(1     ,  len_destination_seq + 1							):
  lowerCamelCase__	:     int								=		i * insert_cost
  lowerCamelCase__	:     str								=		f'''I{destination_seq[i - 1]:c}'''

 for i in range(1     ,  len_source_seq + 1							):
  for j in range(1     ,  len_destination_seq + 1							):
   if source_seq[i - 1] == destination_seq[j - 1]:
    lowerCamelCase__	:     Any								=		costs[i - 1][j - 1] + copy_cost
    lowerCamelCase__	:     str								=		f'''C{source_seq[i - 1]:c}'''
   else:
    lowerCamelCase__	:     Tuple								=		costs[i - 1][j - 1] + replace_cost
    lowerCamelCase__	:     List[str]								=		f'''R{source_seq[i - 1]:c}''' + str(destination_seq[j - 1]							)

   if costs[i - 1][j] + delete_cost < costs[i][j]:
    lowerCamelCase__	:     Any								=		costs[i - 1][j] + delete_cost
    lowerCamelCase__	:     Union[str, Any]								=		f'''D{source_seq[i - 1]:c}'''

   if costs[i][j - 1] + insert_cost < costs[i][j]:
    lowerCamelCase__	:     Optional[Any]								=		costs[i][j - 1] + insert_cost
    lowerCamelCase__	:     Union[str, Any]								=		f'''I{destination_seq[j - 1]:c}'''

 return costs, ops






def 			lowerCamelCase_    (		_lowerCamelCase     ,  _lowerCamelCase     ,  _lowerCamelCase							):
 if i == 0 and j == 0:
  return []
 else:
  if ops[i][j][0] == "C" or ops[i][j][0] == "R":
   lowerCamelCase__	:     List[str]								=		assemble_transformation(_lowerCamelCase     ,  i - 1     ,  j - 1							)
   seq.append(ops[i][j]							)
   return seq
  elif ops[i][j][0] == "D":
   lowerCamelCase__	:     Union[str, Any]								=		assemble_transformation(_lowerCamelCase     ,  i - 1     ,  _lowerCamelCase							)
   seq.append(ops[i][j]							)
   return seq
  else:
   lowerCamelCase__	:     Tuple								=		assemble_transformation(_lowerCamelCase     ,  _lowerCamelCase     ,  j - 1							)
   seq.append(ops[i][j]							)
   return seq


if __name__ == "__main__":
      A_,			A_     :					List[str]							=     compute_transform_tables("Python", "Algorithms", -1, 1, 2, 2)

      A_     :					str							=     len(operations)
      A_     :					Dict							=     len(operations[0])
      A_     :					Any							=     assemble_transformation(operations, m - 1, n - 1)

      A_     :					int							=     list("Python")
      A_     :					Optional[Any]							=     0
      A_     :					Tuple							=     0

      with open("min_cost.txt", "w") as file:
            for op in sequence:
                  print("".join(string))

                  if op[0] == "C":
                        file.write("%-16s" % "Copy %c" % op[1])
                        file.write("\t\t\t" + "".join(string))
                        file.write("\r\n")

                        cost -= 1
                  elif op[0] == "R":
                        A_     :					str							=     op[2]

                        file.write("%-16s" % ("Replace %c" % op[1] + " with " + str(op[2])))
                        file.write("\t\t" + "".join(string))
                        file.write("\r\n")

                        cost += 1
                  elif op[0] == "D":
                        string.pop(i)

                        file.write("%-16s" % "Delete %c" % op[1])
                        file.write("\t\t\t" + "".join(string))
                        file.write("\r\n")

                        cost += 2
                  else:
                        string.insert(i, op[1])

                        file.write("%-16s" % "Insert %c" % op[1])
                        file.write("\t\t\t" + "".join(string))
                        file.write("\r\n")

                        cost += 2

                  i += 1

            print("".join(string))
            print("Cost: ", cost)

            file.write("\r\nMinimum cost: " + str(cost))

