Q$-3)(25$P$)$ A $150-$m$-$long equal tangent crest vertical curve connects tangents that intersect at station $10+360$ and elevation $400m.$ The initial grade is $+ID\%$ and the final grade is $-I{D}^2\%.$

$($a$)$ Determine the stationing of the $PVC,$ PVT and high point.

$($b$)$ Determine the elevation of the $PVC,$ PVT and high point.

Note: $"$ID$"$ is the last digit of your student ID number, i$.$e$.,$ ID$=5$ for $110310075.$ In addition, if the last digit of your student ID number is $"0",$ please use ID$=2.$