You are to write an IAS program to compute the results of the following equation.

$Y={\displaystyle \underset{x=1}{\overset{N}{}}}x$

Assume that the computation does not result in an arithmetic overflow and that $x,Y,$ and $N$ are positive

integers with $N1.$ Note: The IAS did not have assembly language, only machine language.

$($a$)[20$ marks$]$ Use the equation $\frac{?}{\text{S}\text{u}\text{m}}(Y)=\frac{N(N+1)}{2}$ when writing the IAS program.

$($b$)[20$ marks$]$ Do it the "hard way," without using the equation from part $($a$).$