Part $1(40$ points$)$:

$1.$ Show the BST after inserting $45,43,100,34,23,$ and $3$ into an empty BST$.$

$2.$ Show the BST after deleting $15$ from the following $60,15,100,57,67,107,49,64$BST$.$

$3.$ Show the BST after deleting $60$ from the following BST$.$

$4.$ Show the inorder, preorder, and postorder of the following BST$.$