"""Topological Sort.""" # a # / \ # b c # / \ # d e edges: dict[str, list[str]] = { "a": ["c", "b"], "b": ["d", "e"], "c": [], "d": [], "e": [], } vertices: list[str] = ["a", "b", "c", "d", "e"] def topological_sort(start: str, visited: list[str], sort: list[str]) -> list[str]: """Perform topological sort on a directed acyclic graph.""" current = start # add current to visited visited.append(current) neighbors = edges[current] for neighbor in neighbors: # if neighbor not in visited, visit if neighbor not in visited: sort = topological_sort(neighbor, visited, sort) # if all neighbors visited add current to sort sort.append(current) # if all vertices haven't been visited select a new one to visit if len(visited) != len(vertices): for vertice in vertices: if vertice not in visited: sort = topological_sort(vertice, visited, sort) # return sort return sort if __name__ == "__main__": sort = topological_sort("a", [], []) print(sort)