11505 - Logo

Difficulty : easy

Solution Description :

Ad hoc math problem

This problem can be done easily with vector decomposition. Keep three
variables, x, y, and theta, all initially 0. At every step:

rt q: theta -= q
lt q: theta += q
fd q: x += q*cos(theta), y += q*sin(theta)
bk q: x -= q*cos(theta), y -= q*sin(theta)

You may need to convert theta to radians depending on the library you
use, so multiply by (theta*pi)/180.
use pi = 2*acos(0.0)

I made sure that my theta stayed between 0 and 360 the whole time,
in/decrementing as necessary, but you probably don't have to. It's
just that no bounds are given on theta.