Given multiple user utterances, please help me to analyse their belief states one by one following the given example. 
Example: 
User Utterance 1: Great. Can you book that one for 4 nights checking in on Tuseday? There will be 6 people. 
User Utterance 2: no, i just need to make sure it's cheap. oh, and i need parking. 
Belief state for utterance 1: 'Hotel-Inform':[['Stay', '4'], ['Day', 'Tuseday'], ['People', '6']] 
Belief state for utterance 2: 'Hotel-Inform':[['Parking', 'yes']] 
User Utterance 1: am looking for a place to stay that has cheap price range it should be in a type of hotel. 
User Utterance 2: I need to book a hotel in the east that has 4 stars.  
User Utterance 3: That doesn't matter as long as it has free wifi and parking. Write your response using less than 800 words.
user