greedy算法(python版)

greedy算法的核心思想是首先计算覆盖面大的部分，然后依次寻找其他覆盖面最大的部分。该算法的使用场景就像他的名字一样，当符合贪婪属性的时候就可以考虑。

states_needed = set(['北京', '上海', '广州', '深圳', '杭州', '南京', '石家庄', '银川'])

stations = {}
stations['kone'] = set(['北京', '上海', '广州'])
stations['ktwo'] = set(['北京''杭州', '南京'])
stations['kthree'] = set(['广州', '深圳', '杭州'])
stations['kfour'] = set(['北京', '银川'])
stations['kfive'] = set(['石家庄', '银川'])

final_stations = set()

while states_needed:
	best_station = None
	states_covered = set()
	for station, states in stations.items():
		covered = states_needed & states
		if len(covered) > len(states_covered):		
				best_station = station
				states_covered = covered

	states_needed -= states_covered
	final_stations.add(best_station)

print(final_stations)