A binary search tree $($BST$)$ stores values in the range $37$ to $573.$consider the following sequence of keys

$81,537,102,439,285,376,305$

$52,97,121,195,242,381,472$

$142,248,520,386,345,270,307$

$550,149,507,395,463,402,270$

Which of the following statements is true?

Group of answer choices

I, II and IV are in$-$order sequences of three different BSTs

I is a pre$-$order sequence of some BST with $439$ as the root

II is an in$-$order sequence of some BST where $121$ is the root and $52$ is a leaf

IV is a post$-$order sequence of some BST with $149$ as the root.