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###GRAPH EXPANSION
##NON RECURSIVE

def dfs(graph, start):
    visited, stack = set(), [start]
    while stack:
        vertex = stack.pop()
        if vertex not in visited:
            visited.add(vertex)
            stack.extend(graph[vertex] - visited)
    return visited

dfs(graph, 'A') # {'E', 'D', 'F', 'A', 'C', 'B'}

##RECURSIVE

def dfs(graph, start, visited=None):
    if visited is None:
        visited = set()
    visited.add(start)
    for next in graph[start] - visited:
        dfs(graph, next, visited)
    return visited

dfs(graph, 'C') # {'E', 'D', 'F', 'A', 'C', 'B'}

###PATH FINDING
##NON-RECURSIVE

def dfs_paths(graph, start, goal):
    stack = [(start, [start])]
    while stack:
        (vertex, path) = stack.pop()
        for next in graph[vertex] - set(path):
            if next == goal:
                yield path + [next]
            else:
                stack.append((next, path + [next]))

list(dfs_paths(graph, 'A', 'F')) # [['A', 'C', 'F'], ['A', 'B', 'E', 'F']]


##RECURSIVE

def dfs_paths(graph, start, goal, path=None):
    if path is None:
        path = [start]
    if start == goal:
        yield path
    for next in graph[start] - set(path):
        yield from dfs_paths(graph, next, goal, path + [next])

list(dfs_paths(graph, 'C', 'F')) # [['C', 'F'], ['C', 'A', 'B', 'E', 'F']]