A vertical curve joins a $-1\mathrm{.}4\%$ grade to a $+0\mathrm{.}9\%$ grade. The Pl of the vertical curve is at station $89+00$ and elevation $60\mathrm{.}80$ masi. The centerline of the roadway must clear a pipe located at station $90+40$ by $0\mathrm{.}80$ m$.$ The elevation of the top of the pipe is $61\mathrm{.}40$ mas. What is the minimum length of the vertical curve that can be used?