def toposort(data): # Special case empty input. if len(data) == 0: return # Copy the input so as to leave it unmodified. data = data.copy() # Ignore self dependencies. for k, v in data.items(): v.discard(k) # Find all items that don't depend on anything. leaves = reduce(set.union, data.values()) - set(data.keys()) # Add empty dependencies when needed. data.update({item: set() for item in leaves}) while True: ordered = {item for item, dep in data.items() if len(dep) == 0} if len(ordered) == 0: break yield ordered data = {item: (dep - ordered) for item, dep in data.items() if item not in ordered} if len(data) != 0: raise ValueError('Cyclic dependencies exist among these items: {}'.format(', '.join(repr(x) for x in data.items()))) def toposort_flatten(data, sort=True): result = [] for d in toposort(data): result.extend((sorted if sort else list)(d)) return result print list(toposort({2: {11}, 9: {11, 8, 10}, 10: {11, 3}, 11: {7, 5}, 8: {7, 3}, }))
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