# open input file and overwrite/create output file
filein = open("snakein.txt", "r")
fileout = open("snakeout.txt", "w")

#read file inputs
inputs = filein.read().split()
#set initial state of snake
facingdir = "up"

currentposition = [0,0]

goalposition = [int(inputs[0]), int(inputs[1])]

moveslist = []
# compute optimal next move based on snake's orientation and position
def nextbestmove(currentpos, goalpos, facing):
    if facing == "up":
        if goalpos[0] - currentpos[0] < 0:
            facing = "left"
            return ["L", "L"]
        elif goalpos[0] - currentpos[0] > 0:
            facing = "right"
            return ["R", "R"]
        elif goalpos[0] - currentpos[0] == 0:
            # either left or right - won't change result
            facing = "right"
            return ["R", "R"]
    elif facing == "down":
        if goalpos[0] - currentpos[0] < 0:
            facing = "left"
            return ["R", "L"]
        elif goalpos[0] - currentpos[0] > 0:
            facing = "right"
            return ["L", "R"]
        elif goalpos[0] - currentpos[0] == 0:
            # either left or right - won't change result
            facing = "left"
            return ["R", "L"]
    elif facing == "right":
        if goalpos[1] - currentpos[1] < 0:
            facing = "down"
            return ["R", "D"]
        elif goalpos[1] - currentpos[1] > 0:
            facing = "up"
            return ["L", "U"]
        elif goalpos[1] - currentpos[1] == 0:
            # either left or right - won't change result
            facing = "up"
            return ["L", "U"]
    elif facing == "left":
        if goalpos[1] - currentpos[1] < 0:
            facing = "down"
            return ["L", "D"]
        elif goalpos[1] - currentpos[1] > 0:
            facing = "up"
            return ["R", "U"]
        elif goalpos[1] - currentpos[1] == 0:
            # either left or right - won't change result
            facing = "up"
            return ["R", "U"]
# continue to calculate move sequence until reach goal
while currentposition[0] != goalposition[0] or currentposition[1] != goalposition[1]:
    newmove = nextbestmove(currentposition, goalposition, facingdir)
    moveslist.append(newmove[0])
    if newmove[1] == "U":
        facingdir = "up"
        currentposition[1] = currentposition[1] + 1
    elif newmove[1] == "D":
        facingdir = "down"
        currentposition[1] = currentposition[1] - 1
    elif newmove[1] == "L":
        facingdir = "left"
        currentposition[0] = currentposition[0] - 1
    elif newmove[1] == "R":
        facingdir = "right"
        currentposition[0] = currentposition[0] + 1

# write the list of moves to the output file
for item in moveslist:
    fileout.write(item)
#close the files
filein.close()
fileout.close()