Alfred, Bernard just become friend with Cheryl. They want to find out Cheryl's birthday. Instead of directly answering the question, Cheryl decides to have some fun and create a puzzle.
Cheryl gives them 10 possible dates for her birthday.
15th May, 16th May, 19th May, 17th June, 18th June, 14th July, 16th July, 14th August, 15th August, 17th August
Then Cheryl decides to give some more clues to her new friends. She tells Alfred only the month of birthday. She tells only the day of the birthday to Bernard. She did it separately. So Alfred knows that Bernard knows the day of the birthday but not the month and vice versa.
After that Alfred and Bernard had following conversation.
Can you guess the birthday based on the above conversation?