Python实现烽火传递：最大化可见诸侯数量

以下是用Python实现的代码：

def find_max_visible(lords, visible):
    max_visible = 0
    max_lord = None
    for lord in lords:
        if lord in visible:
            continue
        visible_lords = set()
        for v in visible:
            if lord in v.reachable:
                visible_lords.add(v)
        if len(visible_lords) > max_visible:
            max_visible = len(visible_lords)
            max_lord = lord
    return max_lord

class Lord:
    def __init__(self, name):
        self.name = name
        self.reachable = set()

    def __str__(self):
        return self.name

class VisibleLord:
    def __init__(self, lord):
        self.lord = lord
        self.reachable = lord.reachable

    def __str__(self):
        return str(self.lord)

def fire(lords, king):
    visible = set()
    visible.add(VisibleLord(king))
    fire_count = 0
    while len(visible) < len(lords):
        lord = find_max_visible(lords, visible)
        visible_lords = set()
        for v in visible:
            if v.lord in lord.reachable:
                visible_lords.add(v)
        visible_lords.add(VisibleLord(lord))
        visible.update(visible_lords)
        lord.reachable.add(lord)
        for v in visible_lords:
            v.lord.reachable.update(lord.reachable)
        fire_count += 1
    return fire_count

# Example usage:
lords = [Lord('A'), Lord('B'), Lord('C'), Lord('D'), Lord('E'), Lord('F')]
lords[0].reachable.update([lords[1], lords[2]])
lords[1].reachable.update([lords[2], lords[3]])
lords[2].reachable.update([lords[3]])
lords[3].reachable.update([lords[4]])
lords[4].reachable.update([lords[5]])
king = lords[0]
king_reachable = set()
for lord in lords:
    if lord in king.reachable:
        king_reachable.add(lord)
visible_lords = set()
for lord in king_reachable:
    visible_lords.add(VisibleLord(lord))
visible_lords.add(VisibleLord(king))
visible = set(visible_lords)
for v in visible_lords:
    v.lord.reachable.update(king_reachable)
fire_count = fire(lords, king)
print(f'Fire count: {fire_count}')

代码中使用两个类：Lord表示诸侯，VisibleLord表示可见状态的诸侯。Lord对象包含reachable属性，表示可以到达的其他Lord对象。VisibleLord对象包含lord属性，表示对应的Lord对象，以及reachable属性，表示可以到达的其他Lord对象。fire函数根据当前可见状态的诸侯，寻找能够使得不可见状态的诸侯最大装入可见状态的数量的诸侯，并将其加入可见状态，直到所有诸侯进入可见状态或点燃状态为止。