import collections
import sys

Point = collections.namedtuple("Point",['x', 'y'])
Command = collections.namedtuple("Command", ['direction', 'magnitude'])
start_pos = Point(0,0)

map = [[]]


def cmd(instruction):
    return Command(direction=instruction[0:1], magnitude=int(instruction[1:]))

def move(pos, cmd):
    print(pos)
    if cmd.direction == "U":
        return [[Point(pos.x, y + 1) for y in range(cmd.magnitude) ]]
    elif cmd.direction == "D":
        return [[Point(pos.x, y - 1) for y in range(cmd.magnitude) ]]
    elif cmd.direction == "R":
        return [[Point(x + 1, pos.y) for x in range(cmd.magnitude) ]]
    elif cmd.direction == "L":
        return [[Point(x - 1, pos.y) for x in range(cmd.magnitude) ]]
    else:
        print({cmd.direction})
        raise Exception(f"Unrecognised direction: {cmd.direction}")


x = lambda k: k.x
y = lambda k: k.y
def map_size(positions):
    [( Point(min(p.x, key=x), min(p.y,key=y)), Point(max(p.x, key=x), max(p.y,key=y))) for list in points for p in list ]


## array of position arrays 
positions = [[start_pos]]

instructions = [ cmd(x) for x in 'R8,U1'.split(',')]

for instruction in instructions:    
    # the last element of each array is the location of each step
    last_pos = positions[-1][-1]
    positions += move(last_pos, instruction)
    
    print (positions[-1][-1])
    print(positions)