<prompt> Kutatua hili kwa kutumia Python: Katika tatizo hili, wewe ni kupewa uhusiano graph undirected na n vertices na m makali. unahitaji kuamua kama inawezekana kuondoa hadi 2 makali kutoka graph kupata mti ambayo ina angalau n - 2 vertices.  <response>: Heres a Python implementation to solve the problem:def remove_edges_to_make_treen, edges: Create adjacency list adj_list i: for i in rangen for u, v in edges: adj_listu.appendv adj_listv.appendu Check if graph is already a tree if lenedges n - 1: return True Check if graph can be converted into a tree by removing a single edge for u, v in edges: adj_listu.removev adj_listv.removeu visited False n dfs_count dfs0, adj_list, visited adj_listu.appendv adj_listv.appendu if dfs_count n: return True Check if graph can be converted into a tree by removing two edges for u, v in edges: adj_listu.removev adj_listv.removeu for x, y in edges: if x u and y v or x v and y u: continue adj_listx.removey adj_listy.removex visited False n dfs_count dfs0, adj_list, visited adj_listx.appendy adj_listy.appendx if dfs_count n: return True adj_listu.appendv adj_listv.appendu Cannot convert graph into a tree by removing up to two edges return Falsedef dfsnode, adj_list, visited: visitednode True count 1 for neighbor in adj_listnode: if not visitedneighbor: count dfsneighbor, adj_list, visited return countThe remove_edges_to_make_tree function takes as input the number of vertices n and the list of edges edges each edge is represented by a tuple of two vertices. It returns True if it is possible to remove up to 2 edges from the graph to obtain a tree that contains at least n - 2 vertices, and False otherwise.The function first creates an adjacency list representation of the graph using a dictionary. It then checks if the graph is already a tree i.e., if it has n-1 edges. If so, it returns True. Otherwise, it tries to remove a single edge and check if the resulting graph is a tree by performing a depth-first search DFS starting from an arbitrary node. If this is the case, it returns True. If not, it tries to remove two edges and check if the resulting graph is a tree in the same way. If a tree is found, it returns True. If none of these conditions are met, it returns False.The dfs function performs a DFS from a given node in the graph represented by the adjacency list adj_list. It returns the number of vertices visited during the search. The visited list keeps track of which nodes have already been visited to avoid revisiting the same node twice. 