The height of a tree is defined as the number of edges on the longest path in…

The height of a tree is defined as the number of edges on the longest path in the tree. The function shown in the pseudocode below is invoked as height(root) to compute the height of a binary tree rooted at the tree pointer root.

int height (treeptr n)
{ if (n == NULL) return -1;
  if (n → left == NULL)
      if (n → right == NULL) return 0;
      else return B1;                    // Box 1
  else { h1 = height (n → left);
         if (n → right == NULL) return (1+h1);
         else { h2 = height (n → right);
                return B2;              // Box 2
              }
       }
}

The appropriate expressions for the two boxes B1 and B2 are