require 'matrix'
input = File.read("input_11.rb").strip.split(",").map(&:to_sym)
HEX_DIRS = {
  :n => Vector[0,1,-1], :ne => Vector[-1,1,0],
  :se => Vector[-1,0,1], :s => Vector[0,-1,1],
  :sw => Vector[1,-1,0], :nw => Vector[1,0,-1]  
}

def dist path

  path.reduce({:vec => Vector[0,0,0], :lol => 0}) do |mem,step|
    mem[:vec]= new = mem[:vec] + HEX_DIRS[step]
    mem[:lol] = [new.map(&:abs).sum / 2, mem[:lol]].max
    mem
  end
end

out = dist input
p out[:vec].map(&:abs).sum / 2, out[:lol]