Find Mr Tan's Birthday with logic!
Ben and Mark are students of Mr Tan. Mr Tan's birthday is on \(N/M/1970\) and both of them know that Mr Tan's birthday is one of these \(10\) dates:
Mr Tan tells Ben the value of \(M\) and tells Marc the value of \(N\).
Then Mr Tan asks them: "Do you know when is my birthday?"
Ben says: "I don't know, but I can ensure that Mark doesn't know too."
Mark says: "Initially I don't know, but I know it now."
Ben says: "Oh! Then I know it too."
Base on the dialogue and the dates given, can you figure out which date is Mr Tan's Birthday?
Give your answer as \(M+100N\)
Assume Mark and Ben are amazing at their logic
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