A notebook is made up of sheets folded in the middle and stapled. Each sheet forms two leaves i.e. four pages. On removing some papers of the first half and second half of the book, Calvin Lin found the number of the leaves, in the first case as odd and in the second case as even. If the sum of the numbers of the pages on the last leaf of the book is \(63\), then what could be the maximum possible sum of the numbers on the pages of the leaves that were left in the book.
This problem is a tribute to Calvin Lin sir.