Can you solve this with full working out please

3. Construct an AVL tree of positive integers and of height 3 such that insertion of the value 7 will trigger a double rotation (i.e. a right rotation followed by a left rotation or a left rotation followed by a right rotation) and, following the insertion of 7, an insertion of the value 8 will also trigger a double rotation. (a) Draw the valid AVL tree before the specified insertions. [6 marks] (b) Draw the valid AVL tree after insertion of 7 but before insertion of 8. [7 marks] (C) Draw the valid AVL tree after insertion of 7 and of 8 in that order [7 marks]