from itertools import repeat
from random import random, randrange

target = """
#     # ####### #     # ####### ######      #####  ####### #     # #     #    #        #####  ### #     # #######    #     # ####### #     #    #     # ######  
##    # #       #     # #       #     #    #     # #     # ##    # ##    #   # #      #     #  #  #     # #           #   #  #     # #     #    #     # #     # 
# #   # #       #     # #       #     #    #       #     # # #   # # #   #  #   #     #        #  #     # #            # #   #     # #     #    #     # #     # 
#  #  # #####   #     # #####   ######     #  #### #     # #  #  # #  #  # #     #    #  ####  #  #     # #####         #    #     # #     #    #     # ######  
#   # # #        #   #  #       #   #      #     # #     # #   # # #   # # #######    #     #  #   #   #  #             #    #     # #     #    #     # #       
#    ## #         # #   #       #    #     #     # #     # #    ## #    ## #     #    #     #  #    # #   #             #    #     # #     #    #     # #       
#     # #######    #    ####### #     #     #####  ####### #     # #     # #     #     #####  ###    #    #######       #    #######  #####      #####  #       
"""

points = {(x, y) for y, line in enumerate(target.strip().split('\n')) for x, c in enumerate(line) if c == "#"}
img_x, img_y = max_x, max_y = tuple(map(max, zip(*points)))
instructions = []

for _ in range(20):
    is_x, fold = (True, randrange(max_x+1, max_x*2))\
        if random() < 0.5\
        else (False, randrange(max_y+1, max_y*2))
    instructions.append((is_x, fold))
    next_max = fold*2
    if is_x:
        points = set(v for (x, y), rand in zip(points, iter(random, 2)) for v in [
            (x, y) if rand <= 0.66 or x <= max_x-next_max+fold else None,
            (2*fold - x, y) if rand > 0.33 and x > max_x-next_max+fold else None,
        ] if v is not None)
        max_x = next_max
    else:
        points = set(v for (x, y), rand in zip(points, iter(random, 2)) for v in [
            (x, y) if rand <= 0.66 or y <= max_y-next_max+fold else None,
            (x, 2*fold - y) if rand > 0.33 and y > max_y-next_max+fold else None,
        ] if v is not None)
        max_y = next_max

for point in points:
    print(','.join(map(str, point)))
print()
for instruction in instructions[::-1]:
    print("fold along " + ("x" if instruction[0] else "y") + "=" + str(instruction[1]))