Given an array of four integers, write a program in MIPS that populates a new array with the square of the elements in the given array. Assume x$8$ stores the memory location of the first element of the given array, and x$9$ stores the memory location of the first element of the new array.

Each memory address is incremented by $4$ due to the size of an integer stored in the memory.

Ex: If x$8$ and x$9$ are initialized in the simulator as $4000$ and $5000,$ and the content of the given array is:

Addresses Data

$40001$

$40042$

$40083$

$40124$

then the content of the new array is:

Addresses Data

$50001$

$50044$

$50089$

$501216$