Mercator projection. The Mercator projection is a conformal (anglepreserving)

projection that maps latitude  and longitude  to rectangular coordinates

(x, y). It is widely used—for example, in nautical charts and in the maps that you print from the web. The projection is defined by the equations x = λ - λ0 and y = 1/2 ln ((1 + sinφ) / (1 - sinφ)), where λ0 is the longitude of the point in the center of the map. Write a program that takes λ0 and the latitude and longitude of a point from the command line and prints its projection.