Given multiple user utterances, please help me to analyze their belief states one by one following the given examples. 
Example: Great. Can you book that one for 4 nights checking in on Tuesday? There will be 6 people. 
You should output the corresponding Belief state: 'Hotel-Inform':[['Stay', '4'], ['Day', 'Tuesday'], ['People', '6']] 
If I input the user utterance: no, I just need to make sure it's cheap. oh, and I need parking. 
You should output the corresponding Belief state: 'Hotel-Inform':[['Parking', 'yes']] 
Now, if I input the user utterance : am looking for a place to stay that has cheap price range it should be in a type of hotel. Do not provide an explanation, just output. Write your response using less than 600 words.
user