Problem $3$: Horizontal Alignment $(35$ points$)$

Note: You are allowed to use Excel for calculations and present the results in a tabular form.

A series of horizontal circular curves are to join a series of tangents that have been located and stationed in the field. The stationing of the beginning station is BS $=0+00.$ The data in the following table provides alignment information.

Table $3\mathrm{.}1$ Alignment Information

$\backslash$table$[[\backslash$table$[[$PI$],[$number$]],$PI Station,Curve Deflection Angle,Degree of Curve$],[1,15+64\mathrm{.}56,8{33}^{\text{'}}L,2{00}^{\text{'}}$