




def   A		(__A  :       Dict  ,							__A  :       List[Any]  ,							__A  :       int  ,							__A  :       str  ,							__A  :       Dict  ,							__A  :       Optional[int]  ,							)  -> Union[str, Any]:







     """simple docstring"""


     UpperCAmelCase_		=				list(a_			)
     UpperCAmelCase_		=				list(a_			)
     UpperCAmelCase_		=				len(a_			)
     UpperCAmelCase_		=				len(a_			)

     UpperCAmelCase_		=				[
         [0 for _ in range(len_destination_seq + 1			)] for _ in range(len_source_seq + 1			)
     ]
     UpperCAmelCase_		=				[
         ['0' for _ in range(len_destination_seq + 1			)] for _ in range(len_source_seq + 1			)
     ]

     for i in range(1  ,							len_source_seq + 1			):
          UpperCAmelCase_		=				i * delete_cost
          UpperCAmelCase_		=				F"""D{source_seq[i - 1]:c}"""

     for i in range(1  ,							len_destination_seq + 1			):
          UpperCAmelCase_		=				i * insert_cost
          UpperCAmelCase_		=				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]:
                    UpperCAmelCase_		=				costs[i - 1][j - 1] + copy_cost
                    UpperCAmelCase_		=				F"""C{source_seq[i - 1]:c}"""
               else:
                    UpperCAmelCase_		=				costs[i - 1][j - 1] + replace_cost
                    UpperCAmelCase_		=				F"""R{source_seq[i - 1]:c}""" + str(destination_seq[j - 1]			)

               if costs[i - 1][j] + delete_cost < costs[i][j]:
                    UpperCAmelCase_		=				costs[i - 1][j] + delete_cost
                    UpperCAmelCase_		=				F"""D{source_seq[i - 1]:c}"""

               if costs[i][j - 1] + insert_cost < costs[i][j]:
                    UpperCAmelCase_		=				costs[i][j - 1] + insert_cost
                    UpperCAmelCase_		=				F"""I{destination_seq[j - 1]:c}"""

     return costs, ops


def   A		(__A  :       Any  ,							__A  :       List[str]  ,							__A  :       Dict			)  -> str:







     """simple docstring"""


     if i == 0 and j == 0:
          return []
     else:
          if ops[i][j][0] == "C" or ops[i][j][0] == "R":
               UpperCAmelCase_		=				assemble_transformation(a_  ,							i - 1  ,							j - 1			)
               seq.append(ops[i][j]			)
               return seq
          elif ops[i][j][0] == "D":
               UpperCAmelCase_		=				assemble_transformation(a_  ,							i - 1  ,							a_			)
               seq.append(ops[i][j]			)
               return seq
          else:
               UpperCAmelCase_		=				assemble_transformation(a_  ,							a_  ,							j - 1			)
               seq.append(ops[i][j]			)
               return seq


if __name__ == "__main__":
    snake_case_						,			snake_case_					:					Union[str, Any]       						=			compute_transform_tables("Python", "Algorithms", -1, 1, 2, 2)

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

    snake_case_					:					Optional[int]       						=			list("Python")
    snake_case_					:					List[str]       						=			0
    snake_case_					:					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":
                snake_case_					:					List[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))








"""simple docstring"""

from __future__ import annotations

from queue import Queue
def 						UpperCAmelCase   (						a_,		a_     ):





		'''simple docstring'''


		a ^= b
		b ^= a
		a ^= b
		return a, b
def 						UpperCAmelCase   (						a_,		a_     ):





		'''simple docstring'''


		lowerCamelCase	:     int            =       1
		while (1 << j) < max_node:
				for i in range(1,		max_node + 1     ):
						lowerCamelCase	:     Tuple            =       parent[j - 1][parent[j - 1][i]]
				j += 1
		return parent
def 						UpperCAmelCase   (						a_,		a_,		a_,		a_     ):





		'''simple docstring'''


		if level[u] < level[v]:
				lowerCamelCase      ,       lowerCamelCase	:     List[Any]            =       swap(a_,		a_     )
		# making depth of u same as depth of v
		for i in range(18,		-1,		-1     ):
				if level[u] - (1 << i) >= level[v]:
						lowerCamelCase	:     int            =       parent[i][u]
    # at the same depth if u==v that mean lca is found
		if u == v:
				return u
		# moving both nodes upwards till lca in found
		for i in range(18,		-1,		-1     ):
				if parent[i][u] not in [0, parent[i][v]]:
						lowerCamelCase      ,       lowerCamelCase	:     str            =       parent[i][u], parent[i][v]
    # returning longest common ancestor of u,v
		return parent[0][u]
def 						UpperCAmelCase   (						a_,		a_,		a_,		a_,		a_ = 1,		):





		'''simple docstring'''


		lowerCamelCase	:     Any            =       0
		lowerCamelCase	:     Queue[int]            =       Queue(maxsize=a_     )
		q.put(a_     )
		while q.qsize() != 0:
				lowerCamelCase	:     Tuple            =       q.get()
				for v in graph[u]:
						if level[v] == -1:
								lowerCamelCase	:     Optional[Any]            =       level[u] + 1
								q.put(a_     )
								lowerCamelCase	:     str            =       u
		return level, parent
def 						UpperCAmelCase   (						):





		'''simple docstring'''


		lowerCamelCase	:     Any            =       13
		# initializing with 0
		lowerCamelCase	:     Dict            =       [[0 for _ in range(max_node + 10     )] for _ in range(20     )]
		# initializing with -1 which means every node is unvisited
		lowerCamelCase	:     List[Any]            =       [-1 for _ in range(max_node + 10     )]
		lowerCamelCase	:     dict[int, list[int]]            =       {
		    1: [2, 3, 4],
		    2: [5],
		    3: [6, 7],
		    4: [8],
		    5: [9, 10],
		    6: [11],
		    7: [],
		    8: [12, 13],
		    9: [],
		    10: [],
		    11: [],
		    12: [],
		    13: [],
		}
		lowerCamelCase      ,       lowerCamelCase	:     Dict            =       breadth_first_search(a_,		a_,		a_,		a_,		1     )
		lowerCamelCase	:     List[Any]            =       create_sparse(a_,		a_     )
		print('LCA of node 1 and 3 is: ',		lowest_common_ancestor(1,		3,		a_,		a_     )     )
		print('LCA of node 5 and 6 is: ',		lowest_common_ancestor(5,		6,		a_,		a_     )     )
		print('LCA of node 7 and 11 is: ',		lowest_common_ancestor(7,		11,		a_,		a_     )     )
		print('LCA of node 6 and 7 is: ',		lowest_common_ancestor(6,		7,		a_,		a_     )     )
		print('LCA of node 4 and 12 is: ',		lowest_common_ancestor(4,		12,		a_,		a_     )     )
		print('LCA of node 8 and 8 is: ',		lowest_common_ancestor(8,		8,		a_,		a_     )     )


if __name__ == "__main__":
					main()






