After numerous Godzilla attacks, the city of Tokyo, Japan is testing their new invention, Mechagodzilla. You

are tasked with implementing a program to help retrieve Mechagodzilla after successful deployments.

Mechagodzilla$$s movements are controlled by sending a series of inputs, $$N$$ for north, $$E$$ for east, $$S$$

for south, or $$W$$ for west. If something goes wrong and Mechagodzilla is destroyed, we need to be able

to find it for retrieval.

The question we want to answer: Using a standard Cartesian grid, what are the $($x$,$y$)$ coordinates of

Mechagodzilla after it finishes a series of movement inputs? Assume Mechagodzilla always starts at the

base coordinates of $(0,0).$

Here are some examples to help clarify:

$$NNE$$: coordinate $(1,2)$

$$NNEEENNW$$: coordinate $(2,4)$

$$WNENWNSNN$$: coordinate $(-1,4)$

$$EESSENNESE$$: coordinate $(5,-1)$

$$WEENEWE$$: coordinate $(2,1)$

$$NWEWWNSWW$$: coordinate $(-4,1$