Pravokotniki
30

1 10 10 5 5
.#.......#
###.#..##.
####....##
#####.#.##
##..##.###
###..#..##
###...#.##
##.....#.#
.#..#.....
#....#...#

2 10 10 5 5
.########.
##########
######.#..
##.#..#...
###...#...
.###....#.
.###..###.
####.#####
####.#####
###.######

3 10 10 4 4
#####.##..
#######.##
##.#.##.##
##########
###.###...
###.###.#.
###.###...
#####..###
##.####.#.
.#...#..#.

4 10 10 3 3
###.#####.
#####.##.#
.##.#.#...
##.#.#####
######...#
#..#.##.##
#######.##
##########
.##.####.#
..##.....#

5 30 30 5 5
.##......######..#.....#......
##.....#.#.#######...#...#....
#.#..##.#...######...###......
...#.##.....#######...........
#...........########..........
.#..........#######..#.......#
#.##..#.....#######...........
..#...........#.##.......###..
........#......##.#.#...#.####
#.........###...######.#.#####
.....#...#.......#.###########
...####...........############
.................#############
............###.##############
#.#......#..##.###############
##...#......##.###############
###...#..#..#.############..##
##..#.##.....#####.########..#
.#....##...########.######..#.
.##.....##.########...####...#
.##.....###########.#.####.###
###....########.##..#######...
..#......#...##...##########..
.#.....#.##..#.##..#######...#
....#.#.#.###.#.##.###########
.....####.####...#.##..#######
....###.#.####.....###.#######
..##.#####.#.#....#..###.#####
..#..##.#.......#.#..#..######
..#.##...........#.###....#.#.

6 40 40 5 5
##...#....##.#.......###################
..##.....#####.......###################
####.#.......#...#...##############.####
#...#.....#.......#.###############.###.
.#.....####.....####.###########..####..
###...#####..##.####.#########.##.###...
###..#######.....############..######...
####..#######....######.########..#.##.#
####..######....#####...###.#.#..##..###
####..#####.#...#.##..#......#.###...###
.#.....#####....#..#......##...##......#
#.....###.#.#.##..#.#....####...#...#.##
##..##...#.#.#.....###.#.#####....#.#.##
##...##...##.#....#####.######..#....###
.....#.#..#...#..#.##..#.#######.#..##.#
..#..#.#..........#############.....##..
....##..#..#.#...##############.########
...##..##..#.##################.########
..#..#.###.######################.###...
...##.....##########.############.###...
######.....##########..############.....
######...#.#########..#############.##..
#######.############################.##.
##################################....#.
####.############################..#####
###.#.##########.################..###..
##.##.#######.###.################.###..
.#################################.##...
#################################.#.....
###############..################.#.....
###############.##################....#.
#############.####################......
#############.#####################...#.
##############.####################.#...
#############..#####..#.#########..#.#..
####################.##.##########..####
##################.##.#...########...###
###.#######.#######.###...########..#.##
##...###...##########.#.#....####....###
.#...##.....#####.##.###.....##.......##

7 50 50 5 5
#.####..###.#.#.#####.###.#####.##..#.###..###...#
#######.##.########..###.#.##.#.#####...#.#..##.##
.####..#.....###.####.#######.#.##..#.#.####.#....
.####..####.#...###.#########.##.#..##.##.##..###.
##.##....##..##.##.##.#..##..#####..#######.###.#.
############..###############.##.#.####.########..
#######.###..#####.#######.#.#########.##..###..#.
..###.####..###..#.####.#.###########.#.######....
###..####.##.##..#############..#####..#....###.#.
.#..###.#.###.#########.#.###.#########.###.###.#.
.########.################.####..##.#####..####...
###########.########.###.####.###.#####..#.####.#.
####.######..##.###..#.######..#..##.###########..
.##.#####.##.##.##.##.##########..#########.#.#..#
#.#..##..#.###.##.#################.##...#.###...#
.##.##..##.###.###############.#...########..#....
.######.##.####.##############.##.##...#######.#..
#############...#.##..####....#####.###.##.#.#.#..
#.###..#######.#.####.#.##.##.#..#####.##..#######
#######.#..#.#####.###..#..#.#.##.####.#.######.##
##...#######.##.#############.#..###########......
.#.##.##.###..##.###.##.##.##.##.###.####.#.#####.
#####.###########..##########.#.###.#.######.###..
#.#.#####.###.##.#####.#####..###.###.##.##.###...
##.#####.##..#..#.######..##..##.####.########....
.###.#.######.#.####.######.####.#.#.....#.###.#.#
##..####.#.####.##.####..###.#..##.##############.
.####..####.#########.....#####..##.####.#####..#.
#.####################.#########.#.####...###...##
###..#.#######.############.#.#########.#######...
###############...###.#####.#####.####.##..##....#
####.###.##.#..##################.##.###.....#..#.
#.###########.#.##..###.##.####.##.###..####.#.#.#
.#######.##..##.##.####.####.####.####.##.####.##.
##..#.######.####.#...#..#####.#.##.#..##.#.#.##..
.##.#######.#.#...#.####.########.#######.##..####
##......#.########.#.#####...###.##.###.####.###..
####.#..#######.#.#.#...##.#..####..#..#.#.##.#...
###########.###.##.#.###.#.##.####..#.####..#.##..
##.#######..#.############..##...#.#.#####.#####.#
#######################..######.###.###..##.###.#.
########.###....#..##.##########################.#
###.####.#.##.###.##..#########################...
#######################.##.######.#.#####.#####..#
#####.#####.#.######.################..##.######.#
####.####.#.#.####.####.#######.##############..#.
#.#######.#....#.##.###...##.###..#####.##.###....
####.##..#####....#.##.#.###.##.##...#...#.##.....
#..#####...##.....#####...#....##..##...##.#...##.
.#...#.................#.##......##..#...#..#.....

8 60 60 6 6
.####.##..#.###.#...#######.###########.##.#########.######.
#.###############.#.##.#####.##..###.####..##.#.####.######.
#.####.########.#########.###.#.##########.##..####..##.##..
#.######...#########.####.#..######.##.##.#####...###.#.#...
.#.#############.##.##.##..#########.#.##.##.########.###...
#.##.#.....#.##.##.##..##.#.##.##.#.######.########..###.#..
##########.#########.######..####.#.#..#.#######..##..###...
#.#..########.#.########.#.#####..#.##.#.#####.###..#####.#.
#####.#..#####.###.#####.######.##.#.#.#.#....#####.###.#...
###...##.#####.###.##.#######.#####.######.#########..#.##..
###.##.#.#####.#.###########.##..#..#.#..######..######.#...
#####.####.#####.###..#####.###.#.#.##.##.#.##.#####.###..#.
.#..#..###.##.######.#.###.####.#.##..########.##.##..####..
#######..########.###..#.#####.###.#.##############.#.####..
###.#########...##.##.###.#.#####.############.#####.###..#.
#.#.#..#####.##.....###.###..###.###..####.#.########.####..
###.#.###..####.###.###.#.#...#...##..########..#####..##...
.#.#####..#.#.##..#.##.#######..###############.####..##.#..
###############.##.#.#####.###....######.##..#######.#####..
.##.######.###.....##..##.###..##########.###..########...##
###.###.#.##.####..###..##.#..#.######.##...#####..#.####...
######.#######.###.###.##.#.###.######.####.#.#.##.####..#..
##..##..##.#....#########.##############.####.#.#.####.#..#.
##....##.#.###.#.#.#.###.##.#.##..##########.##.#####..##...
###.##.####.#########...##..##################.#.#######.##.
..#...##..######..######.#.#######.###..###..####...##..#.#.
########.#####.###.#..#..#..#####.#######.######..#####..##.
...#.##########.######.########.####..##########....#..##...
.#######.######..#.#.######.#..############.##..######.####.
#.####.##########..#..##########.#.##.####.##...###.###.##..
.##.#.#######...##.###.########.############.##.##.######...
######.#####.######.########.#####.##..##.###.###.###.#.###.
##.##..##.####.#.###.#.#.##.#############.##.###.###.###.#..
##.######.###.#####.#.#.##..###############.####..###.##.#..
##.##########.########...####.##.#.#########..##..#.######..
##.###.#..######.#######.#####.#####.#..####.##.######.##...
##..#..#######.#.##########.#.#######..#####.#######.#..##.#
###.###.#.##.##..##.#.##..##..#######.#.###.####.###.###.##.
#############.#.#.####..####.#.###.##...#######.##.####.###.
##.###..#.##.###.#.#######..#.#.###.#########.##########.#..
.###.##.###.#..##.####.#####.####.######.#######.######.#..#
..######..#.###########....####.###############.#####.#.###.
#...##..###.###.####.#.##.#.#####.##.#####.#.#####.#...##...
#####.##.#######.#..######.####...#.##.#.####.##########.##.
#####.###.####.########...######...#.#..#..###.###...######.
##.###############.#.##.#####.###.###.##...#.#.#.#####.####.
####.##########.#.##.#..#.####.#.#######..##.#.#####.#.##...
#.#######...######.############.###...#####.##.####.###.###.
############.##..###.######.#.#.###..##############..####...
#####.#######.###.####.#..#######.###.#....#####.#########.#
.#..#.#.####..########.#.#####.############..####.#######.#.
#######.#.###.#.#.####.######.#####..####.#.###.#.######.#..
####..##.######.########..##..#.#..###########.#######..#...
##..###.####.#####.##..#########.####...##########.####.#...
.###.#.########.################..###.#.##.####..#######....
#.#########..###.#########.###.#.##########..#.###.########.
#...#..###...######....##.#.###.#..######...#.###.##.####.#.
.#.#.#...#.....##.#.#.#..##.#.##.......#.##.##....#.#.####..
..#.#.....#....#...#...#.#..#....#...............##..#......
#.#...#.......#.#..##..#.#......#...#..##.#....#.......###..

9 80 80 7 7
.####.#.######.#.###....##........###########..#...###########.########.##.####.
.#...##.########..#..##.#....##.#.###.######.##.#.###############.####..########
.#.##############..#.#####.####...##.#######..#......##.##..####################
####.#########....##..##...#.#.#.##.##.#.####..#.##.#...#....####..#..##.####.#.
###...########...#..#######..#..##.##.#######..##.####..#.#.######.####....##..#
##...############.#.##.###..#......##.#..##.##...#####..####.####.#.##########.#
###..#.######..###.########.#.#..#.####..#####..######.#########..##.#####.#..##
##....############.#####.#.##...#######.#.#######.############...##.#.###...##.#
####.##################.#.#..####..####...##.##..#.############.....########..##
##.#...#.##.#.########.#..###.###..####.#######..##.###########..#.##.######.##.
##.#..###.##.#########..##.#######.#########.#..###.##########.###....#####...#.
..#.#.#.##################.########.#####..##.##.##.##########.####.#######....#
###.##.###################################......#.###########..#####.#######..##
###.#..##.##.#########.####.##.####..#########...#.#######.####.#..########.#.##
#####...##...#####################...#########...###.##..#.####.######.####..###
.##..####.####..###########.#.##..##...#################..#.#####.#######.######
###########.##..###.#.###########..#....#.##########...##.#############.########
#.....#########.######.#.#####.##.......#.#..#.######...#.##.####.####.#######.#
#.###..#########.###..#..#########..#.#.###.########..#.##...#####.#..#.##..#.##
..#...#.########.##.###..###################..########.#.#.#...###.#.##......#..
....##.########.##..##.#..############.##..#.#.####..#######...##.######.####...
##.#.#.#.#######.##.#..##.#####...####.##.#.#########.......#..###.....####.#.#.
#..#..#.############.#.#.#####.#...##.#..####.###.#####...#..#..##..######..####
##.#..#############..##.####.###.#######.#..#.###.######..##.###..##..##...####.
####.##.##################......#.##..###.....#######..#.####.###..#.####.###.#.
#######...#####.##...#####..##.#.#.##.####..#.#######.....#####.#.....#....#.##.
#########..####.##.##########.##..#.###.###.#.########...#.##.##.##.#..###...###
####.#..##.######.#.############.##.###.##..############..####.###....#####.####
######..##....##########..###.#.###..###.#.#########..###.##.###.#####..####..##
######.###.#.#..#.##.###..##.##..#...#.###..#######..##..###..##.#...#.######.##
.########.#...#######..###..#######.##.##.#########.##..###########...####.#####
#.#..#####.#......###.##.####.###...################.##.#.#.#######.##########..
###.######..#..#########....#####..#####.#################..#.##...#.......###..
#.#########.#..###########.##.####..####..###########...##.##.#.##.#.###....#.#.
.##.########..######.##.#...########.##.############..#.############.##...###..#
###..##..###########.##..##.########.#.######..###.##.#..#.####################.
####.##..#.#.######.##.#..#######.....#####..#....#.#.#.....##########...#####.#
###.#....#########...##..########...#####.##.#.######..###############..#####..#
#######.###.######..#.#######....#....#..#####.######.####..##########..#######.
######..#####.####.#.#.#.####..##..##.#################.##....#########..#####.#
######.###..#.#####.#.#.###.#.###.###.######..##########.##.########.####..#.###
#######.######.######....#.##.###.#.#.######...#######.###....#####.#####.######
#########...#...###################...######.##############################..###
.#.#.#.#..#....#####################...#######.#..#..#####################.#####
.###.......#.##..#########.#####.#.########.#..#.#.######.#######.#..###########
##.####.#.##..#.#.########.###...###.####.####.#.....#############.##.####.#####
#########...#.#.#.#######..##.#...##########.#.#########.#########.##.##########
#########.#..##############.#..####.#...###..##..######..####.##..#.###########.
########.####################.#.##..##...##########.###########..##..##.#####.#.
#########################..###...####..###########.##########.##...###########.#
#..#########..###################..#....#.#.##.###.##############.#.####.#.#.###
##.#.#######..########.##....##..##.###.####.##.#.####.#########.####..###..####
#.#.#.##.###..###.##..####.#.#..#..######.#####.##...####.######...##.#.###...##
..########.#####.#####..####.####.##..###.#####.###.####.#...#.#..#.#.##########
#.##...#.#####.#.#.......#...#####.....###################.....####.#..####.#.#.
##......#####..###.####.###.######......#.######.#.###.#.###########...#########
#####.#.##.#.####.#####.####.####.###..#.#######.####.########.############.##..
.##.##..####.#....##...###...#.##...#....#.###..######.##############..#.##...##
##.#..##..#...#.#####..###..###.##....#####.#.......###.######...#..##...###....
##.###..#.#..#.#.#.#.##.########.#.#.....####.##.....#..######.####.#.##.#.#....
####....#..#.#..####.#..######...####.#..#####.##..##...#####....#.#...##..###..
####...#####.....##.###..#.#.#..#####.##.##.##############..###.#.#...###..#.###
####.....#....##..###..#.###..#.##################.########.#...###.#.##########
###.#..#######.#.####...##.###.######.##########......###.#..#.######.#...##..#.
########.########..##.###..#####...#..##...####..####.####..#.###.##.#...#..##..
################.##....#.###....########.#.##..#########..####.....###..####.#.#
.################.##..##....#.#.###...###.####.#.#####.....#..#...####..#.####.#
.###..##.#########..##.#.##.#######.####.##.#.#####.....#...###.####.....#.#..#.
.###.##.#.##.#.####.#...###########..#..#.#####.###.#####.#..#############.#.#..
#######..###.#########..###############.###.##..##########.#.##..#####...#.#.##.
..#.####.#.####.#####.############.#.#.######...####.#.#####.#########...#.##...
..#.#######.####.#################.#.#.######.#..##.##.###.#########.#.##...###.
##..############...#.##.##########.###...##...#..#.########..###.#.####.#.##.#.#
.######.#######.##..#.####..#######.####.#.#######..########..#..#######.#.#####
###############.#####..##.#.########....##..#####.########.###....#.##...###.##.
#####...####################.#.###.####....#####..#.#######.#.###.##....##..##..
####.###.####.########.####.#####..#.#..#....####.#..########.....#..#....##.###
..##..###.#.##..######..###.######.#..####.#.#########.###.####..##.#.##.......#
.....#.##.####..#####...######.#########.#######################.#...##.##.##.##
...#####..#.#.#.####....#####.#..###.##.#.###############.#.#..###..#.###.###.#.

10 90 90 8 8
###.#####.##.#######################..##..#.#.##..###.#.###.###.#.##.#############..###...
###..##.#########..#.##.######.#.###.########.#####.#.###.###.##.########.###.###.###..#..
##.#######.##.#.####...#.#####.##########.#####.###...#.####.#####.##.##.#..####..###.#...
##.###.##.#######...######..##..####.########..#.##########.#..#.####.###..####.#.#.#..#..
####.#..##.###..###########.####...###.##..###.##########.#..#####..##########.######...#.
.#.#..##..#.###########.########.##########..##.##.###..##########.###.####.#########..#..
####.##..######.###.##..#####.##.#.....#.####..#.##.###...##########..####.#..####.##..#..
.#..####..####.###.####.#...#####.#.###.#.#.##.##.#.##.######.#.###.#.############..###...
####.###########.##.########..##..##########.#.####.########...##.##.#################.#..
##.####.#####.#####.###.###.####.#.#######.##.#..####..###.#.##..##.#.########.##..##.#.#.
##.#.##.######.###.###...#####...#####.##..###..##.#.###########.######.#...###.#.###.#...
#.#.#.#####.###.#.####.#########.###.######.############.########..##.####.##..###.####...
##.#####.#######.############.###.##.#.##.###########.#.#######...#.#####..#####.###.##...
#####...##.###.###.########.#######...###.#.#.#.###.###.##.##.##.#.##.#...###.#..###..#.#.
###########.#..###.#..#####.#########.###.#.###############.##.###.#...###..####.#####....
##.######.#######.####.####.#..#######.#.##.####.######.##.##.##.###.##..#.#######.##..#..
..#########.#.#.###.##.###########.##.##..##.##.####.###..##..###.###..#.#..##.##.##.###..
##.##.########.##.##########.#######.#####..#######.##..#.#.####..##########.#######..##..
.######..#########.####.#.###..##..######.##.#######.##.###.##..#..##.#####.###.##.#.##...
#...#.#.##########.###..########.####.#.##..#######.#.#.###..#.#####.#######.##.###..###..
.########.#.##.####.####..##########.#######.#####.###.###.#..######.##..######.######.#..
##..#...##########.###.####.########.#########.#.######.###.####.##########...##..##..#...
#####.##.##.##.##..########.#.###.###########.####...###.########..#..####..#####.##.#.##.
##.###.#.#.#####..####.###.##.#######.#######..###.#####.#.#######.#.#####.##.########..#.
####..####.########.##..#######.###.#######..#.#########.#...##########.###########.......
######.###.##.####.##############..#######.###.###.#.###.#.####.#.#######.#.##.####..##...
.####.##.#.##.#.#.#####.##.###..##.#...########..##.###.################..#.##...#.#...#..
#.#####.###...###.###.###.######.#######.#.#.##.######.#.######.#####..#.#.##..#####...#..
.#..##.##########.####.####.#########.##.###.####.##########..##.##.##.###...####...#.#...
.######.#..#######.#.#.##.##.#.##..##.##..###..##########.###..##.#..######.#######...###.
.######.###.##.#####.#.#.###.#######.##.#.#..#..###.#############.#####.#######..#####.#..
.########..###.####..#######.#####..#...#####.#.#.#.##..#.########.##.#############.##.#..
#.###############.##..###...#.#..#.#....####..########.##.###.######...####.#.#####.####..
###.####.#########..##############..####.##.####.#...##########.##.#######.###.###.#..##.#
########.#.##...#.##...#######..#######..####.#########..#..#.##.#.#.######...##...##...#.
.#.#.#####.##.##.#########..###########.####.#.#.#.###.##...############.############....#
..#####.#####..#..#######.###.###.####.##.#...##.#.#.##.##.####.##.###.####.#...##.#..#...
#..#.##.##.##########.####.#.##..####..###.#####.####.#.#..##.####.#..##.##..##...##.#....
####...####.#######.#.###.####..####.######.##.##..#########.###.#..#########.####.#.##...
##.#.#####...#.#..######.#..###.....##########.#.#####..##..#####.#####.#.######.###...##.
##.#.#.#.##.##..####.##..######.####.######.###.###########.############.##..#####.###.#..
####.#..###.##.####.##.####.######.##.#####.########.#.######.##.#.##.#####.#.#####...#...
###...##.##.###..#..###.###...###.#..#.##.########.#####.###.###..######.####.########..#.
#.##.##.########..###.##.#.###.################.#.#####.##...#######.###.#####..####.#..#.
..#.#....####.#....###########.#.###.##########.####.###..###..###.####.##########.#####..
##..######..###.#####...#####..####.######.#.#.##..##..###########.########.####.###..#..#
.###############.####..##....##.############.##.#.#.####.##..######.######..######..#.....
#.###...#.#.#.####.#####..######.####..#.#.####..#.#.#####..#.#####.##..##.#..#.##...###.#
######.########.###.#####.##.#########.######.#######.###.#.####.#.##.#.##...########.#...
#.#########.#.#######.#.#.#########.#####.#####.##.######.##.##########.#############.#.#.
###..#.##..####.#..##########.####.###.#######..#.#####..####.##.#...#####.#..#######...#.
##..#.########..###..####.###...####..##.#.##.#######.###.##.####.#.##.#########.###.#.#.#
#####.####.####################.#######..####.###.#.##.#.##.####.#####.###.###.#####.##...
####.########.####.#########.###..#####.####.###.########.#########.############.####.#.#.
####.#####..###.#######.###..##.#########.##.#####.#.####.#.#.#####.#..####.###.#.#...##..
.##.####...###..######..#.###########.########.#.##########.#.#######.###.##..####.#...#..
#..####.#######.#####..#.##.#########.#.#.#####.#.#...#.######...##.###.##.#.#.##...###...
####.###.##################.######.#.#.#########.#####.############.#######.########......
###.##########...#######.#.############.#.###.#####.################.###.##.#.#####.##.#.#
..#####.##...##.#.########.#.#############.###########.######..##.#.###.##..#####.#####...
.#.###########.##..##.#.#..#.############.####.###.#.#######.###.###...#####..######...#..
..########.##.###.#..###..#.###..####.#.#.#.######.#.#.#....##..####..#####..#####.##.#...
.##...#.#################.###.##.#.##..#..########.#.#..##.##.####..###.#########.###.#..#
.#####.#.##.###.##.######.#######..##.##.#########.##.##.######.#.#####.######.#####.....#
..#######..###..#..#.##.#.############.########.#.##.######.#.####.##.#.###....#######.###
.#####.#########.####..#.#....###.########...##.#.#####..##.#..#####.##.###########.#..#..
..#####..######.#####....######.####..#######.###.#....#########.#.##.####.#.#####..#.....
########.#.##..#.##############.##.##.#####.#####.#####...##.####.##.###..###.####....##..
##.#.#...###.#############.####.#.####..########.#.####.####.######.#######....###.#.##.##
.####.#####..####.############..#####..#.######.#####.######.#########.###.####.###.##.#..
###.##..#####.##############.################...###.###.####.##.##...####.##.#.#..##.#..#.
###.##.########.#.##.###.##.##########################.#.##########.##.#..##..#####..#.#..
#####..###.#####.####..##.##.##.#.####.#.########.###..###############.####..###..####.##.
.#.##.#.#.######.####################..##########..#.#.#..#.#####....#####..####..####.#..
#..##..#######.#..#.#####.#.#########..##.#######.#.########.##.####..#########..##..##..#
####.#.#.##.#####.##..##.#.##.#.#.###.#######.##.##.#..#..#.###.###.##..######.##.###.#..#
#.#.#.##.#######.#####..########....##############.#.#.#.######..###.....##.####..###.....
###.##.##.#.#....###########.####.###.#######.############.##..#.###.##########.##..#.....
##########.#####.###....###..#.##.#########..##...#.#.###..##.#.###.#.#.#############.#.#.
.####...#####..##.#.####.##..#...##.#.###########.##.#####.##..##.##..########.###.#....#.
###.#.#####.###..#####.##.#.##.##.####..######.#.###.####.###.#####.########.###.#..##.###
###.#####.#.##.#.###########..#..######.###.#.######..####.####.####...#..#####.#######..#
###.##.#######.#.#######.#####.###.####.#.###.##.##..#.#####..##.####.###.#######.#.####..
.##...###.##.#..####.##..##..#####.#.#########..#.##..####.#.#####...##.#....#####..###...
.#.####..#.#####.#...#.##.#.....##..#..#..###.##.#..#####..###.#.#####..####.#####.#.##...
#..#...####....###.#..##...##.##.######.####...###..#..##.####.##.####.#.########.###.....
#.....#...#.##.#.###..........#####.##.#..#.....##.##.######.###.....#..#..#.#..##.##.##..
..#.###.#...#..#...#..#..##.#.....###.##.#.#...#.#.....#.##..###...#..##..#...##.#...#.#..
...##.#.#...#...#....#..####.###.#.####...#..###..#..#.##...........#.##...#......##......
....#.#.#.#.......#.........#........#...........................#...........#..#.........

11 300 299 2 1
########.....#....#.#.###..#.#########.#.........#........###.####...#####......##..#........###..#..###...#######.....##...##.##########....#.........#####.########.#.#..##....#.##.#.#.#..#..###...#........#########..###############....#.....#....#.#.#......##...###...#########.###..........#######
#########..#....#....#.##...##########.......#......#.#..#########...#######...###.#...#...#######..#......#.###.##..........############.#.........##.#############.#.####......####...###....####...#...#.###.#########.###############..#..##..#..#..##..#.##.##.#.......################.#.....#.#######
#############.#.#....####.#...########..#....#####..........#####..#.#####....###.#....#..###########...########.........#..##..#######.#....######.....######.#####.######..#.#.#####.###..#.#.#........########.######...########.##.#.....#####.#.#.#.##.#..#....#........############.#.#.........######
###############....#.##.###....#.#####...........#..##......######.....#......#....###.#.#############...#######........#.#.......####....##########....#############.#....#####.#####..####..#.....#.#.########.#######....#######..#.#......##..##...####...##..#.#.##...####.########.#.##.........###.##
##############...#########..#.#.#...##.....#...#..##....#...##.###..#.......#.....####.....#########.##.#######.#.#.#...##..##.....#.....############..####.####.########.....#############.#.....######.########.#.#####....##....#.##....##..###.#...#####......#####....###.##########..###..##....##...#
############.#..####....#....##.#..............###..##...........###.######.#...#..###.##..########..############..#...#..###............##########...###..#....#######.......###########.##..#...#####..######..##.#...#..#.#.......#.................#.##..##...#######..##.####.######.###....##..#.#....
############..#..#............####..#....#.####.............#..#.....##.######......#...###..######..###############.#.#...#....#.......#.##.#########.........#########.#..#.###########.........#.###...####...###......#.#....#.###.##..............#...........#######.#####.....########.....#..#......
############..........#.#..#..###...##......##.#.....#..#......##..##.#.#######....#..#...#########.##################...#.............#..#.##..######..###...#.########....#.###########....#..#.#.#......##########.....##.#.....##.#####.....##.................######..#.#.#..#..########........####...
###########....#.......##....###..#.##......##...#####...##.....#..##...######........#...#..###....###################.#####..##.######..##..#.....##..###..###########......############.......##.##.#..##########.....#.#...#..#..#..##.....######...#.......#########...#.#....###########........###...
############...#.......###..###.#####..#.#...###.#####..#..###......##.###......##.#.##.#.#......#####################..#.#..#.#.#####.....##.....#....#.......########..#....##########..#......#...#..#.#########..###.###.......####.......########..#####.###########...........##############....####..
########.##.....#....##..#..######.####..#...##.###.#......##..#.#.##....#..#.#..#######.##...##.####################.#.#....##.#.#####..#.#........#####.#.....#########...##.#########...##.#.##....##..#########.#######.#.......###..#...#.#########..##...####.####.........#.#######.######..########.
#######...#....###.#..#....#######.#####....##...#.#..#...........##.####......####.#####........####################.#......#.#...########.......#.########...###########.#..######.##...##.###..##....#.########..####.###........####.....###########......#..#.####.......#..##########..##....#######.#
######.#.#...##.#..#.#.#...########..#...#....#.#.......#.........###....###.####...##.#####.....#########..#######..###...#..###.####.#####...##..########################..#######.###.#.####........#.#########...#####........#.###.#.##############.......#.#..######...#.#..###.#####...#..#.########.
######.##....#........###.##..###..##.##.....###......##...####..###......####.##...#..#####....###########.....##...#....#.##...#.#....#.....##.#.############.#.########...#####.#.##..##...#.........#.######.##..####....#.##.###.##.###.##########........#..#.######..##########...##.....############
####.........###.#...#.#...###.####..#.....#..##....#.###...##..###..#...####....#.#..#...##....##########......##...###..######.............#.......##########..##..######.#.######...#.####..##........#######..#..#####..#.###.#.####...###.#########....#######.######..######...#####...###..##########
###...........#.#.......#...######.#...#####..........####.###..##....#..#.##....###..#.#.#..#.########.#.#.#.#..###.####.######.#....###.#..........########.........##.#.....#.##.#.#..#.##....#.#......#.#####....#####.###..##...#..#.######.#####.....######.########..######################.#########
.###.##.#.#...##.#......#..####################......#.##.###..#...#..#########...####...#.#...##..#####...#...##########..#####.#..##########....#.....#.#.#....#.#....#.......##.#..#...####...#..#..###.####..#.#.####.##....###.#...#########.###......###.#..############################...#..########
.....##..#.##......##.###..##########.######.##....#..#.###.#....#....#######.##.#.#....#..#..#####.##......#.#############..#..#############.#..........#.#......##...#.........###.#.#..#.#.#.....#..###.....#....#######....###..##...#######.#..##....##.....############################.#.#...###..##.
.........#####.....##.###..################.#.#....#.###..........##...#.##.####..###.#...##.##.#......##....#############.....#.#############.####........###....#.......##.#.#..##....###..#.#......####.#..#####.######..#########...########.#####....#.......#####################.#.##..###.#.##.#.##.
....#......#.#..###.######.#########.########..#..##..##.............#.###...###.#.#.#...#.##.#..#....##...##...######.####.....####################......#..##......#.....###.....#.#..####.#..##......##.#..###..########.###...##.....#############..#...#.#....#.#################..##..###.#######.....
...........#.#..#######.##..########.######.........#...#................#..#.....###..#.##..##.#......#..###.###.##.#####.......###################...#..###.........#.#.###...#..##...###.#...#...#.#...#..#.#.#########....##..#......#.###########.#.....#....#.###############.###.#....#..##.####..##.
............##...######.#.......######.#...###..#...##.....#................##....#.#..###.#......#######..#.#.....#....#...##..##############.#.####..##..#........##.####....#...#.#....###..#...#......#....############......###.....#############.#....###.#.#.#.#.####..######.#....#####..##.##......
.###......#......######.##.#..#.#.###.#...######......##..............#..#.#....#......######..#############............#....#.##############.########.##.......#..#...###..#..#..##.....#.#...#....##..........#########...##.....###......#########.####.########.....#######.#.##.#..###..#......#.....#.
.###....#....####....#####.##..#..........#.#####.#.#..##...#......#...####....##....#######################............##.......##############.#####..#...............#.#...#.#..###....#..........#......#.....########..###......#..#..###########.###.#######.###...######..####...#####..........#..#.#
.###...#..#...###...###.#######......#.#........#.#.....#....#...#....#.#..#..###.#.#.########.##############........#...###....#############.#...#......#.#...#....###.....#.....#.##...#.........#.......##....#######..#.......#.####..#..########.###############....#####....#.#..##...##.#..##....####
..........#...#..........#...#..#...#.#.###..##.#.#.....##...#..####.###........###.##########.##############............###....##############..#.#.....#.##....#...####..........#..##...##................#....#.#.#.............######.##.############...####.##.#..#####..................####.#...####.
.........##...#...###...#......#......####.......#..##..##..#.#######.###......####..########..#############..###......##......################.####..............#.###..#..........###.....##...#......#####......##.#.##...#....#..#.#...#########.......#####...#....##.#.#........###.#...####..###.#.#.
.#....##.......##...#....#...#....#########...#....##....##..############.............########.#########......#..##....#..#.#..##################.###..#.#.............#..........#.......#.....#.....#.#..###...#.#...#...#.........#.....##########.#.#..#..#...#######.#..#....##..##.##..#.###..##...###
#..###.#####...............#........#######.........#..##.##########..####.##......#...########.#######.##..........#..##......#####################.##...###..#.........#.#....#........#....##.......#..#.#...........#...##.........#.....#..##.###..#.####...#.#.###...#..#..##.#...###.#..########.####
....#.#####....#...............#....#######....###.#..##.######.#.#####.....###.........######..#########.....#..............#..#####################.##...#.#.....#...##.#####.........#....#.##..###....#..#.........#....##.##....##.....######....#..#...##...#..###.##...##...#####..#..#.#############
.#..########..#######..........##########........#...##########.#######....##.##..........#..###..######......#..#.............###.#####################.....#.#..####..#.###.#........#.....#.##.####......#......#..#.....###..#.....##...####..#.##...#....#.#.#...###.#....#.#.#####.....###############
...#.#####.....#.##.....#......###..#####...#...##.....########.##.##...#...####..............######.#..........#....#...........######.#..############.#...#.#..####.....##..#.#...#.......##....#####......#.........###..##.......##....#####.....#..###...#.##.#.#.####.......#.######.#################
..#########...##.#......##....#.#...#####...#...#.....##.##.##.##.#.#...#.######..#........###.#.#...##.#...#........#..#......###.###....############...##..###........#..##..###.........###.....###...#.....#.#......###...............##########.#.#######...#....#..#......###.#####.##################
###########.#.............###..##....#....#.######....#...#.......###...#..#####.#.##.....#####.##......#....##...#......#....###..##################....#.#.####...#...##..#..###.#.#####..###.#...###.#.#...####....#.###..#......#.#....#########..#.###.##..........##...#..###.#####..#################
##########...#......#..#..####.##.#..#..#..#####.....###...##.##.###.##..#.##...#.###.#..##...##...#........#####...#.....##.#......#################...#.########.#####.......#.#.#.##########.####..##.#..######..###..#.#.......##.....#.#####.#.#.#####..##......#..#......###########.#################
###########........#...#.#.#####...###.###.#######.#########.##..#######.#..#..###....###....#....#.##.#..#######......######.#....##################.###.#######...#.............################......##.######....#.##.##.....#...##.#..###########.#.#.#..#......##.#......#############.##########.####
#######.#..................##....#.##..#.##..#####.#########.##..#######.#..#..#.###..###.....#.....###..########.####.#####.......##################.###.#######.............#..##################.#...#.#.######.###...###....####...##.############.#...#.......##.........#.#.#..###############...##.##
####.###......#.................#.###....##.######.########.##..##.#####........##.#..####.....#....###...############..###.#.....##############...##############......##...#..##.#################...##....##....##......##.#####.####.#.#######..####..##....#...#......##..#.##.#.......#.###..#.#.......
####...#.......##.#...........##...#.#.....###.####.#############.#######.##...#####.#######.##..#......############..#.###.#.....##############..#################......#..######################....##.........#.#.......######.######...#####..####..#.......#..##.........##...#..#....####.....#.....#.
##.#......##...##........###...##..#..##....###.#############################...#####.###.....#...........#.########..#..##.......###########.##.#.##############.###.#.....########################..#....##......###....#.######..###.#..########.#.#.#.##...###.#...#..#....#.....##...######..##.#...#.#
..#.......#......###............##.....#.#.#....##.##########################.#######.##.##..#.........#.#...#..######.#.#.....##############..#..#####################..#..#######################..#####..##....####.....#..#.#...###....#######.#..#.#.#...#..#....#####.........#.#..######.#.#.....#.#.
...............#.#..#....#.###...##...#.#.#.#..##..##############.###.##.####...........#..#.#........#....#...#..#...#..........#.##########.#...################.####....#########################.##################..##.#.....##........#######..##.#..#.#.#.##...####.....#....####.#######.#..#.#.####
##...........####...#...####..#.#......#..####..##################..#.#########.###.##..#...#...#..........#.......#.....#####....###########....##################.##....######.##################.##############.########..#...##..........####...#.#.#....#........######..##.#....###.#########.....#.#.
###........#.####..##....#....####.....#######.#.################.....#########...#.#.#.#...........#......#...#.#........####...#.#######..###.#################...#......#####.##################.############...########...#.###.#.#......#.###.#...#.##......#.....#.#####.#.........############...#.#.
###...#.....#####.##....###.#.####......######.#......#..#######.....###########..##..............##...#..#...#..#...#..######.....#.#####..##...################...#.....######.##################.############.####.##........####.##.......#.#..#....##....#......##......#.......##...#..############.##
#####..#.#.##.####..##.........###.......#####...#........#####......############.##.....#...#..#.....##..#.......###......##........######.....##.###.###########........#########################..##############...##.......######.#.........##.#...#..##....#.#.#.#.##...........#........###########...
#####...####..########..###.....###.#...#####..#......#..#.........###############....#.######.#.##..####..##.#...#..##.#.##.#...##...###.......#......#####.#...#..#....#.##...#####.######.##..#......###########..#......##..#####.#........#....#.#.#..########................#.#..#......#############
##.#..#..##...#..###....##.....##....#..######......##..########...####.##########.....#######...#.#######...##...##..####.##........#.###......#...#..#######........##.#.###..#.##########..###..#...#..###..######.#....#.#.#.####....#......##..#.#.....#######..##.#...........###.......#############.
####........##.....###......#.......##.#######...#.###..#######.#..##...#######..#.###.#####.........###....##.....#..########.......#.##..#...#..###########.#......###...........########..##.........############.###..####..#.#.#.#........###..#####....#####..##..#...........#.....##.##..###.#######
.####.......##.....##.......#....######..#..##.#######..###########.....######..#..########...#....#.#...#.##.......#.########......#...#........#.###########.#...#........#.##....######...##......##.#####.######..#.#...####..#...##.#....##.#..#####..#.#####.....#....####..#..#.###.###..#..######.#.
.####...##.#....#####........#.##.######.....#..#####....#########......########.####......###....#..#..#..####...#..###########.#.............###.########......#...#.#....###....#.###.......####..#..####...#.#.#............#..#...##.###.##..########.....###.#..##....###...#....##..####.....#####...
.####.##............#.....#..#.######.#..#.....#.####...###########.#....##.###.#.###.....#..#....###.......######.#.##########..##..##.......###.##########.#####.....#....###....####.......####.....#############......#.......#...#######....#######....#..####.#..##.#..##..........#####.##......##...
######.###..#............#....#####..###.####....######..#########......####...#.####....#..#.....##...#..#.#..##....##########.#.....##....#####..#########..###.#....#.#..###.....##.....#..#####...#########..#.##..#....#.##..##..##.####....##.##.#..##....####...#....####..#..#....#####.#####.###...
#####.###....#....#...##.......#####.#####......#.........########.......####..#.#####..#.#.....###.........#..##....###########.....#......#####################.....#.####.....#...#.#..#.#######....##.#####..#..###..#..#......#....#######....#..#.#.##....##########.....#.....########..#.###.#####..
#####.###....#......####.......####..#####...##.#....##.###########......#######..####...####...##.#...........##....########...#..#..#......#####.###########..##.#.##...###..###.........##.####...#.##########..###.#.#.#.....##......####.#....#....#....#..###.##.#.............###.####..##########...
.#.##......#..###.#####......#..##..#######.##.......###############.#.###########.##..#..###.##.......###....##.###....#.#.#........#.......###############.....#######..##.#..#.#.....##.###....#.....########.##.....#..#.....####..#.#######..###.####...#..#...#.#.......###....#...###...##.#.........
...........##..#...#####..#..#.#....#####..##....#..####..###########..############.....##...#.#.#.#.#.#.#......#####.#.##........#.......#.#######.########..#..##.##....#.....#..#...#.##.######.##...##########.#.....#......###.....##################...........##.......##...#........#.#..##.#..#....
.......#........#..#####..#...##...####..###.........#...#..####################.###.........######.#.........#########...#.................#######...#######..#.###.......#....####....##.#.####.###...#############.....#.#..##..#..#.########..####..#..............#.....##.................###.####..#.
#...###.#...#......########.#####.......#..#......##.####.#.##########..####.#..####........##..#######.#..#...#########...#..........#.....#.#...#....######...#####.....#.....##.#.....##.#####..###########.########...###..#.#....#############.#..#.............#......#..#...#.##....#...#.########..#
..#.#.##..#........####.###..#..##.................###....############.#####..#.####..#......###########...#...########...#####......#.........#....#..##.###...#.#.#.#..##.....#.#...#.....#########################..#..#####..#...#############.#..#####.#..##..####.......#.##.#####.#.....########.##..
..##..##...#...#..####..#######......#.............####...###########...#.....#...#.#.#........#########.......######..#..#####.#..###..#....##....##.....#####.......#..##......#.###.......######.############..####..##.#########..############...####...###.#.####...#...#.######........###########..##
..##..#..#....##.#.####.#######........#.#........###.....###########.....#.##.................#..######........#####....#####.............##..#...#.##..####.#........#####....#...........##.###############.#.....#########.#.......###########....###.#.###.#.#.#...#....##.#.##.##.......#########.....
#.............####.##...######...##....#.##...#....##...#############.....#.#..#.......#......#.#..#######...#..###.....#..#.#...........#.#.##....##........#..........###....##.#.##.#.#.....##############..###...#############....#########.##........###.#####..#.#..##.####.##..........#########.....
.#.#...........#####.#.####.###.#.#..#....#.........#....###########......#.#.........####.#.#..###.###.#...##.....#..##.......#.##.......#........##..............###..#.##....###.#####....#..############....###################....#######........##.######..#....##..###...###.....#.#....########.....
..#...#.........######.###.#####.##.#.#.###..#............###.##.######...##.....##....#.##..#..##...........##......####........##.#.##..#..#....#.#.##....#..##.....#..##.......#.....#.####..#############...#.#..#############..#...######....#..#.#..##..#.#.....#..####...##.#...#####.....###......##
......###....###..########..#####.###.#..###...#........#.####..#######.##..#...##.#.###.###.#........#.#...#.#.....##.#.#....#......#...............###.......###...##..#.#.#.####.##..####...##############.....#.####..####.###.###...###....##.......######...#.......###....##..#.#..##.#######.......#
###.....###....#.#########.#####..##.........##....#...##...###..#.###..#..#......##.##....#.......#.........#..#...#......#....#...###.............#.#.#..#####.##.#############.##########...#############......#####...########....#..###.##.####....##.##.....#...#.####............##.########.........
.###.....###..#############...#...###...............#.#..###.....#.#....#...####..####...#..#.#....#......#........##.....#........##.#...#...#..#...#.....#...#.......###..#######.##.#####.#...#.#########.......####..####.##...#...######.....##..##.....#...#..#..####..............###.######.........
#####..###.#..#############..#.##.####...........##.###..###....##..........##...#.##.####..#........#.....##.##.....#..#.######.###.#.........####.......####.#.......##....#####.##..###.###.#.#.######.......#.######.....##...#....####....#####.######.#..........#....#........#...######.######.##...
##.######..#...############........#.#....#.##...#####.........##.......#####.#.....#..#.....##.#.......#.##.####..#...........#......#..........#.#.....##.##.#......#....#..#...#.#######.#..##.##########...........#.#..###.........##...#...####..#.###.....##.....#####..##.......#.#.#.#.#######.####
###.######....##############....................#######.#..##.......#.#.###....###.###.#.....####....#......###.#####......##.###..#...#......#.#.......######.#..................##..##....#.#####.#.#...#.##......#....#....#..###..........#...#.#.#.####.#.......##.#.###.##...#..#.##.##....###.#######
.#.######....#.############...#..#.#....#......#.#####..#........#...########...#...##......####....#.#...####.#####.....####.###..#.......#.#........####..#.##.........#........#.#..#.....#.#..##.......####.....##....#...######.####....#.........#.##..##...#.##...###.###...........#..#...#...#...#.
####.##.....##.#######.###...##...##..#..##.#.########.....#......##..#..#####...#####...#..#......##......#####.#.#.....####.###...#.#...#........##.####...##.......#..##.###...#....#....#....#......##..#.#.....##.###...##########.#.######......#..#......##.........###....#.#...#....#...#.#.....##.
.#######....##.....########..###.###.#.#...##.##.#####......#.#...#..##...###.#...#####..#.####...#.#....#.######...##....######......##.#......##....#####.##.#..#.....#..#.............#.##........#######..#....#####.....##########...#..#.#..#.###.###....#.###...#....#...#..#........#.####........##
.######................##...##.#.##...#.......##.####.#.....#.#.......#.######.########.....########.......######...##..######..#..............####......#.#.#....#.#....#..#....#....##.#####......#.########...#.######..############..#.#.......#########....#####....#......###.#.........####...#..####
.#.####.#..........#......#.#####.##...####.....##...#.#..#.#..#.......#..##.##########....###.#####.......#####.###.##..###.#.....#.#.#....#..####.....#.##.##....#.###...#....#.#.#.#.#####.#.####.#########.....#######.#.#############.........#############.#######.....#.####......#.######..#...#####
#..#....#......#.###....##.#.#########...#......#####...##....#..#.#.....############.###.#####..###.......###....#......##.#.....######.....###.#..#.##.#######..#..####.####.#######.#######....############....######.#.#.##############........############.#######..#####.##.#.....#.#######..##..#####
........#...#...####...#...####..####...##......#####....#..#..#.####.#.##...#########..###......#.#........#####.#............#..#####.#..#..#.#...####..#..#.#.....####.#..#.#####.##..#####...#############..##.#.###.....#############......##############..#.####.......###......##..####....#.#..#.#..
............########...##.#...#...###...##...#.######......#..####.######.#...##########.........#..#........###.##........#.........##..##.##.#.#.###..#.......##...#.#.......###.#...###..#..#######.######.#.#..###..##...#############.........#############.######...##.#........#...####.##.###.......
....#..#.....#######.#.#####..#.#........#.####...####........#..#####.##.#############.##...#....######.#..####.##.....#...........#....#.##.#.#.###.........#....#...#.........######.##.....########.###.....#.###.......###############.....################..####..#......#..........#######.##...#....
#......###.########.##.###..##.#......##.........#.##...........###..#.####################.............#...#..#.#......#..#.##....#.#..#.###....####.#......#...........#.#.#....####.#.#...#.#######.####....#..#.#......##.########.#.#....##.##############....####...###..#......##....##..###......#..
#....#####..#####..#...######.......#..........##.####........######.##############...##.....#...#.....##..##.#......##.########.#..#.....####...######....#....#........##..........##..####..####.######.........#.##.......######.#.#...#.#.###############.##.#.##.....#..#..###.###..#.########....#..#
......####....##...#########.#..####.....#.....#.###..##.#.#.#.####################...###...#.#..#....#.#......#.....#.#..#.####.....##.######.########.###..##..##.#....#...####....#####......####.#.###....#..#....#........####....#####.####.############...#......##...#......#####...####.##.........
#....#.#.#...###...###.#############....##........###...#.##..####...#.#############..##.......####.....#....###..##.#..#....####.##.######..############...#..#..#..#......#.#.####....###.........##.######...#......#...#..##.#....#..###.####.#.########......##...#.##..##.#..######..#.#..##..#......#
.#...###..#..#.#..####.#############....##.......##.#...#.....###....###############.###........#..##...##.#####.##...##.#....##..########...############..###..........#......####.#.....#...#....####.##.....................#.###..######..##...###########.#.#.##...##...#####.######.#.#..##..#...#.#..
.....####..#.......#.##############.......##.......##.......#.##........############.##.######.#.....#......########..........##..##.#####.#..#.##########.##.....####.##.....#.####......#.###..##.###..........#..#.....##.#..#.....######..#....#############.#......##..#############...#......######.#.
...#..###..##......###############.#.....#......#.#........#..###.....##############....####..###........##.##.####..#..##...##..##.#######.#..##########.##.....#.####..#.....######...#.###..###..###...........##....#.####..#.#.##########.#.....#.######...#.##...##...#############........#.##.######
.####..##......#.#.##.##########..#....#..#.#..#....#..##...####..#.###############........##.###........###...###.....#....#....#.#.#####...#..###########.#.#..######..#.......#.#....#######.##.##.....#.......###...######.#.##########..#....#....######....##.#...#..##############.........##########
.####..####.....#.###############....###..#..#......#...####.##......#############.#.#......####.#.#...#......#########....#..........##.#.#....######.###.#....#####.###.#.#.#..#..####.#####.###.#......#.......#..#..################.#...#.........#..#..#.#...#....##.#############.##.........########
....########....#...#############......##..........###....#####......###########.##.......##.#.##.###...####.####.##...#..##..........######.......##.#.####.#...########..#......#.....##########.#....###...##.#.....#########.#.####..#....#.......###........#.#.##...####################.#....########
##...#.######.#...#.############.#..........#......#####.#####...#...###########..#....#..#.#....#.##...##.#######.#.#.....###......#.##.##..###....#..######....##...###.#..#...##.##########...##..##.....#..###....#############.####.....##....##..##..#.#....#..##.###################.#.....#.#####...
######..#####......###############.#.#....#.##...#.#.###..######..###.##########....#.##..#.###.......##...########....#..#######...#.######..##....#.#.#..#######....##.#####......############.....##.....#......#...##########.....###.#...##..#...#.#.........#.#######################............##...
#####.###################.########.#.#....####.#...#.##.....##......#######.#....#..###.....####......#.###...##.##...#..######.......#.###.####...#...#.####..#########.####..###.......######....####......###.#..#.#..#######..#....#.##......#...###.#..#....#########################.#..#...........##
######.###########.....#....###..###........#..#......#..#......#.##.##..##....##.#..###..#.#.###..##########.###..........#.####.#.....###.#####.........###...##..#....#####.#.........#######...#####...#######...#######..###.#.#.#..#...#.#..#.####...##...######.##################......###.#.....###
########.########.....##....#....##...##....#####.#..###..#......#.#..#...#....###.#..#...###..#############......#.......#.######.##...#######.#.........####...######.....#......##.###.######....######.#####.....#####.##..#.###.........##..#...###......#..#####...################....####.##...#..##
######.##.#..#.....#....#..#....#.........#######....##...#.###..#####..####...###..#..#.#.###.#..###########.#.#...#.....#.#####.###....###..###...##..#..#.#...###..###..##.....#...##..#..##....#.############.#..#..######.....##..#.#..#.#.#..#.#..#.....#..#####..####.########....#..#####.#...#.###.
#######..#.##.....####......#.....#.......#######...#.###.####.##.###..#####.#.###....#.##..######.#########.##........#.###.###.....##.##########.#.........##...#...#######..........#.....#.....#.#####.#...##...##...#..#.####..#.#.##...#.#.......###...##.######.####..##########.#.#######.#.#####...
####.......##.#....#######..#.#.#.....#.##########....######..##.#.###...#####..####.#.###...################.##....#..#..######.#....#.############..##....######......######.....#.........#....####....##.#.###.###..###...#.#...#.###.#......#....###....###...#..######.#####.#.#....#.#.############..
...........#.#...#######..#...#....#..###########..###...####.#######....####.#######.#.###..#####.##################.#....######...#...############.....#########...#...#####.....##.......#.......####..#...##....######....#.....................#####.....###.#.#..####..####.......#....#.##########.#.
...#.....#...#.....#####...#.##...#...############...##..###..#####..#.....#########.#...#...###...########....#.#.###.#.######....##..#...########.....#.#######....##..#####...#..##.....#.......#..##..#..###....####.#..........#.........#.....#.###..#...##......####..##.#.......#......##########.#.
...##.#.....#.#.#.####......###...##.###########..####....##.#.###..###...#.###########.............#####.#.#..#...##.#....###.##........##....###..#.#....######....#.#.######.##.###....#...##....#####.#######...####.#..##.....#..#............#.###.#.....##.....#.##.#########.#...#.#.###########....
...####......##.##...#.....####...#.#####.#####.....#..........##...#....##########.##........##.#...#####.....#..#............#.###..#....##..#..#.##....#..###.......##.#..#.#.#.##....#....##...######..#######..###.#..#####...#..#..#.......##...#.#..........####.#.#.#########.#..#...############...
.#.#####....#.#..#....#.#.###.##..#...##..#####.#..##........#.#.####....########.#...........#####..#.####....#.###..#....#..###....##....##..###..##..#.....#..##....#....#####....##..#..##.###.####...#.#######..#.....#####.....####....##..##....#.....##...#######.#.##########.#.....##############.
..#####..#...#...........####.........#..##.#.##..###..#........#...##.##########....#.....#.#.####..#..###.....#........##.##.........#.......###..##.#.#....##.#...##........####......##.###.###.##.#########.#..#.......####......#.###......###..##..#..############.#.#############.#...###########...
.#.#####.........#...#..#####....#.....##.####....##..##........##..##########.#....###...#..#.##..###...#..###.###...##.##..##.##......###....###....#####......#.##........###.#.#......#.##..##.....#########.......###...#......###.###.....#.........################..##########...#....#.########.#..
#########............#..#.#.#...##..#......##....#.##.#...##..####.###############.######.#.#.###..####......##..#....###...##...#.#....#....#.####..##...#..#.#..#............###.....#..#.###.........####.###....##.#.##.........###.....##.....##...##.###############...###.######.##...#..#######.#..#
.##.######..##.....###...###.#....#.....#..#....##.......##..#...###...##.###..########....##......####.#...#####..#.####.#....####.#.#....#...###............#.#..##...####.##..#.#.####.##...#...##.#..##...########..####.....#####....#.#....####......##############...#####.####.#.#........####.#.###
.#######.#.##..##.##..###.#..##..#.......#.....##....##.####......#....#......#########..##........####..####.###.#..#####.#....###........#...#..#............#..##.##.#####..........##.###...#...##....#.######.####.#.##.#...##.####..##########.#...#.#.############..#####..###.....#......#######.###
####..####..#..####..#..#......##...#...#.......#...#.###.###...................######........#############.#####..#..#.#..##..#..#..###..#.#.#....#..#.#...###.....#..#####.......#...#.#########..##..###...####.##....##.#..##.####################....##...#########...######..##..#.##...#.############
.#.#.....##........###..........#.#.#..##..#...###...###########..........#.....#########..#####..#####...#.#####...####..#....####...#...#....#.#.###.....#####...#.#######....#.....#########.###..#####.#..#####....#....#....######################.#..#......######.#.####.......#.#.#..#..############
##.#.......#........#.#.....#......#.#...#......#...####.###.##......#...#.#....##########..##..####...##...#.#....#...#...#...####.##.#.###....###.##..........#.#.#.#####....##......########.###########.##.#.##.#..#...........#####################...#.......####........##.......###......###########
.#.##.......#.#......####.........##...#....#....#.########.#.#............#.#..####...#.#.############...#......#.##.#.##......###.#.....#.#.#..##.....#...#.##......##.##....#.......###########...######..##.........#####....#.####################..#....##.#.####......#.#.##.......#.....############
.###...#.........#....##....#...##.##...#..........####.#......#.##......#..#.##.#.##......#########.#....###.#.###.....#......#.#.##.........#.....#.........#....#.#.#...#.......#..#############.#######..#..........####.#..#....#######################.####..#####.#..#.######..........##.###########
####.##...#.###..##.#.........#.#####.....#...#....#####.#....###..#.....###...#.####..##..########....#..##...#..##..#........#####.........##..#.............#..#####...#...#.##..################...#####..##....##..####...........##################.....##########...####..######......#..############
#####...#.######.#####...##...#..#.##.####.#.##.#...#####......#..#.....##........#........########...#...###...#....#######....##....##.....#####......#......#..#.......##...###...############.#.#.#....#######.......#...#...#....####################....########...#######...##..#.###..#...##########
#####...#..####.#..##.######.......#.###.#######....######.#...........#..#.#...###.....##.########....#....##.##......#####...######........######..#...#....#.#.#....##.#.#....##.##########.##.....##..####.##.###.#.#.......#.##..#########.##.######...#####..####...#####...####..#.......#..#########
####..........##.#.##.#####.#......##.#########.#..#..##.###.............####...###....##########.#............#.##....####..#.######..##...######...#......#.##.###....##.#.......###########.#.###..#....##.#.#...##......###....#..#######..###....###..#######.######.######...#.....#.........#########
###.....#.........##.#########..##.....#########.##...###....#...#.....###...#.####..##.#######.#............##.##...#.###...##.###..##.....######...#.##.####....#...#..##.#.....#.###.####....#####.......##..#....##.....####.#.##.#############.#..###.######...###...#.###..#..#.##....#...#.......####
##.......#....#.....##########.#......#.#######.#.....#......#..........######..##################......#....##.#...##.#...#...####..#..#...#.####.....####.##.....#.###.###.#..#....#.#.###....#..##..#....##.##...........###.############.###.#..#.##.#.#####.##.######......#.#.#.###.#.##.....###..###.
#........###.#.##.....##########........#######............###..........####...######.##########...#.##.##...##.##............#.......#..#.....####....#..##....##..##########.........####.###..##.........##.#......#..###.#####.###.#.###.#....#######.######.##########.....#....#...#.#.#.....#..###...
##......#.####.#..#..####.#.#####...#..#########............##...#...#.....#..##################......###..#.##...#..........###........#........#........#.#.#....#######.######.##.....##.#..#...#..#...#.########....#####....#####.....#.......#..#.#.####...##########.......####..#.####.####..###....
#.#.....######..#..#####....##.#...#.#..########..#.###..#..#######...........###.####.#########...#.....#...##..#..#.........###.....#.#....###.......##.........###.##...#########.#...##..#.........#.#..######..#...####.##..########.###......#...#.....#....#########.#......###...#..#.#######.#.....
....#...###.####.#####.....#.####.##.#....#####..#.###......########..##.#....##..#.#.##########.....##....#......#.##..........##...####......#.........#..........#####...#.##.####.#..................##########...#..####.#..######.###.##...#.##...#...##..############......###....##...#...#.#.###.##
......#####...#...####....######..#..#.....###....##..###..########..#..#.#...##..#..##.##.#####.....#...###...#.##......#......####.#####....###.#.......####..##..####.........#.#.#..#.###...#.......#.##########..####.###..########.#...##....#.#....#.#.#.##############....####.######.....#.#...##.#
......####.###...#.###........#...#....##.###........#......########..##.###.#..#...#####.##...#.....##.##.....####....##.#..#..##....#####...##...###....#....###.#######.#....#...#.....####...#......#.##############..###.##########.....#..#.....#...#.....##############....####.##.#.#..#...##....#..
##..#.######.##...##.............#....###.###..##..##.#.......#########.#####...##.....#.......#...###..###...####..#.#.......#.####.....###..#..#.#.##......#.###.#####.#........#.......#.#.###.....##.#.#####...#####..###..#########....#..#............#.################....#####.##....#####.##.#.##.
###.########.#.####..#....#...#...................####.##.#....###############..##..#.....###.#.#..#.#..##.#############.##############.##.######..##.#...#......#.#####....#..#......##........#..##..##..#.#####.#####..#..###.###.....#.#.#.#..#......#.......#############....####..#.....###..###...#..
.###..######.###.....######......#...........#..######.#.####...#############.####.....#.##.....#....##.#######.####...################..##..#########....#.......####.#......#..#.....##...##..#......#####...##.#..#####...##.#####.###.#..#...#...##.....#..#############...#..####........###..##...#..#
..#..#.#######..#..#.#######.....#.#.#......##....#####..#.#....###.########.######.....##............##########.##....###############.###########..............##.#..#.#......#....#..#####..##.......######....#.####.....#..###...######....##....#.........#.##..######.........##....#.#.#####.##.##...
..##.#######..##..#....#############.#.#....#.#.#.###...####....###################....##..#....###..##########.##...###################..########..#####..#.....##......#....###..#.##.####.#.#......########.####.##.#.....#.##..######..#....##..###.##...........#########..##.##...#...#.#########.##.#
############.#.###......#####.####.#.###.#...#.#.###....#####...#.#################...............###########..#....#...################..###############.#.......##..##.....#.###.####.###........#..#######...######.##....#...#.######..###..##...##...#........#.#######........#.........#########.##.#
###########..#######....#####..####..####.#...#.###.....###.#...#..#################..#....#.........########............###############..###############..........#...##..#####....#...####..#......#.#######..#####..##...###..#.######.......#.......#.#..##...#########.#....##...#...#..#.#######..##..
##########.#...#####..#####...#######.######.#..###.#...#..###.#....########.######...#.....###....#..######..###.#...####.##############.#############........##..#...#.....#######....##.##...###....################.#.##...#..#######.#....#.....#..##.......###.#######...#.##...#.....##...#....#.....
##########....###..##.##.#.....#####.#######......#...#......##...#...##..##.#####...#.#.#....#.#.#..#######..###...#..###.#..##########..############..#......###.#..#.........#####..##.###...#..#...##########.###.#.....###...#.#####.....##..#.######...#..###.#######.......#..#...###....##.....#..##
#########........#####..#......####.###.#.......#######.#...#####..........#.##.####.....#.##..#############.#.##..#.######...###########.#############..#..#..#####..#.....####.###..#.###......##..##############....#...###...####......#.##..##...###....#.##..#.####...........#....#........#..###.###
####......##...####.#..##....#####.##............#####.......#####.#...###.#..#..##.....##..#.#################.#.##.#########.#######.#..###############......###.........####.#.###.#.###....##.....#.#######.##....##...##.#.#####.....##.##....#..#######.##.#.#....#...........##.#......#.....#.......
#####......#..#####..##......#.#..#........#.##.......#....##.####.#...####...#......###.###...#.########.#####........#####.##.....#.#.....###..######.......####.....#..#.########.#..###.......##......###.....####.#.#.##.######.#...######........#.###.....#.##...........................###......#..
##.#.#......#######..#......................#.#....#........##.#.#.#..#####....#...##.######..#.#.########..###.#.#....#.....#..#.....##.....##.#####.#.#.....#####.......#..##...#.#..####.#.#..........#.##.##########...#..##....#..#.######...#........#.......#.#.#...#...#....###...####.#..##...##...
..........#...###.#...#.........##...#..#............#.##......#######..#.#.#.......#.######...############....##..................##.#......##.#.#.#.....##...#####..#..##.##.........####...#..#.....#....############..#..#.#.......##.#####..###......###.##.....#..#.....#...#.########..#..###.#..#.#.
###....#..#.....#......#...##....##.#..#######..##..#.#.#.....#.####.##...#..#.........#######.###########.#.....#....###.#.........##.........##...##..#.#....####.###..##.###...#.##.###....#.#...#.#.....##############.......#.#.###..###.....##..#.######..#.#.##...#.#.#.#....############..#.....#.##
###.....##.#......#....#..####.....#.....####..#####.#...#....########.....#...#.#....####################.#.......##..#...#.....#.....#.#.#..####....##..#....########..###...........#.....#.#......#.....################....##..#.#.#.#.......#......###...##..####..#####.#.....########............#..
####....###.....#.#.#.#.....###.#.......#.####...####.#.####.#....##.......#..#####..#.##################........##...###.#..#.#..#.......#.######.#..#.#..#...###..##.....#.........####...###.###........##################...##...##.##........##....##.#...########..###........###########.##..........
##......#.###....#..#..#.......#.........#####...######.###.###....#.#....##.#####....############.#####....#......#..#.##.#..#...#.#.#.###########..#...#.###.......#.#.##....#....####...##.######.#..#...#################.##.....#..#...##....####......####.#####..######.......########.....#..##.....
##...##..#.##...##.######..#.......#.....#.###....#######..#..##.#..###...#####################...#####.##..##....#..###....#...#...###.###########.#.....#.##......#.#####............#......###....#..#.....###########..#.#......#.#.##.........##.#....#####.#####..####...........####...##....##.#....
##...#.#.#..#...#..###....#.#......#...#.....#...######.#.#..#....##.##...#.#.#########...#......#...#.##..####....#.####...#......#.##.##########.###.#...###.#.##.#.#####.###........#####............##....###########...#...#......##.........####.#.####...#.####.#.####..#........#...#..###..####..##
######..#.#..#.....#.#....................####......####.#.###.#........#....##########..###...........#....####.#...##.####.#........#...######.#.....#..##........#...###.####.#........#####..............##########...#.......#..........#.##..#######.#.#...###########..##....####......#.#...#####.##
#####.......######..##....#.....#..#.#...#####....#..##......##.............#.###########..#.#....#....#.#.#.###.....#########..####.#....#######...##.#.###.........#..###..###...#...#..######..#...#.#...###########.#..#.#..##..#.........#############.#....#########.....##.....###.....#....#..#.#..#
#####.#.#..####.#....#...##...#...#........##......####...#.###.#........##....#.######.#....#...#.#.######.#####..#....##.##....#...##.#..#.##..#.###.#....##..#.........##..##.##.......#######.#..#..#...##.############......#.##....#.....######..###.##..#....########....#.#.#####...##....##.....##.
#####.##...#####.....#...###.#...#..##......####.#.##......##.#.....######..###.....#.##..#...##.#########......#####.#####.#...........####.###.######......#.....#..........##.##..#.#.#.######..##.###.###..#########.###.......#...........##..##.##..#...##...#########........######..####.#..##...#..
#####...#.#######..#..#..##.#........#.#.....#######.#....#.#....#.##..##.#....#....###......##.#..######....#..#.##.##.#.##.........#..####..#########.....#.#......##...##.#.#....####...#.#####..#.#..###....######....##..............#.####...###.........#...#..######.##.....#.....#..#...##...#.##..
######..#..#######...##########.......#....##########.#..###....#....#####......#..#..##..#.##..##..##..###..##.########.####.....##...####..###########....#..#.....#.#.....###...#.#....#.#.#.......#..#.#....####...#...###...#..##....######....###..#...#.##..#.#####.#...#.##.#.......###.##..#######.
######..#...####.##..#########..#....##...###########..#..##..####...#####.....##....##..#...##..##.####.#######.#.#####..#..#..#####..###################..##......####.....####.#.....#..#....#.....#.##....#.#..##.#.......#..#...#.##.#######...####......#.#.#########.#..##...#...#.#.##...#.########.
#####....#....#.#....######.#.#.#.#.####..###.#...###.###....#......######.#...###.##.##.#######...##############...######.###..###.#######################.......#######.#...####............#........#..###.......#.............##.##..#.######.#.###..........#########..######.....#..#######.#.########
#####.......##############.#..####..####..###.####.####.#....#.#..#.########..######.##..######.....#############...####.#.#.....#.###################.........#..#..####..#...##.#.......#....#....########...#....#.#........##..#.##.#...####...##...##...#....########...######.#.....#.#.#.############
#####..#....###############.###...#.###.#.....#############....#..##########.#.####....#.####.......#############..#...#......#..########################....#...##.#######..#..###........##...#.##########.................#......#.#......##.#..#........#..#.#..###############....#....################
########.################..#.#...#...##.##.#.########....##.#.###..######.#....####.....####..#.#....###########......#.#....#....##########################.#.##.######.#......#.........#....#############.....####....##......#....#.#.....#....#......#.##.##...#.#############.......##.##.#########.##
.########..##############....#.....###.###.#..######..#...#.#.#...#######....#...##.#..#.######.#.....##########.......#...#.....########################.##..#.######.##................##.#..##############..#######.##.#....#.....#...........#....#....#.#.###..#..#############...#.#..##.#############
.#######..##############..##.#.......#..##.#.######..#...#.####..#######...########..#.##.####.#..#...#.########.#.#.#..........#################...######.......#####..............#.......#...#############..#####.#..##...###..#.#..#...#.....#.#....##....#######..###########......######.#############
.######...###########.#...##....#....#...#####....##.#.###........#######.#.###.#.#.###.#.####..################....#.#..........###############...##.##..#.....######.........#..#..##....#...#############...######....##..#....####.........#.#......#.##...####.##.###########.....#.###################
#..#.#.###.###########...##.#......##...#.######.....###.#.#..#...###.######.##.#####.#.###########.#############..#....#.......##################....#..##.##.#.###.....##..##...........#....############....#.###.............#.#.##..#.#.##.....######....#.####.##.##########.......###################
.##.....##############..##.##......##..#.#.#####.....#.######.....####..#....####.#####.####.#.##..#.###########..#......##..#.####################.....###.###..###..................#..#.#....##############....#.#.#......##...#..##.#...........#.##.#..#######...#.####.######.#.#.####################
....##.#.#.#######.##....##....#...#.#.#.#.#####..##.###########.....#....#....#.####........##..##..##########.####...##.....##################.....#.#..##.##...#.....#..........##......#...#...####....##.#.....###........#.#...##......#......#.####..#######..#####.#...#####.#...###################
#...#.#...##..####.#...#.##.....#...#....######......#..######.......##.####.#...###.#..##.#.........###############..##.#.....###################...........#.#.#.............###..#................#...#.###...##..####.#.###.#...#........##.#..#...#..#########..####..#......####...###################
.....#....##..#...#.#.##.###.....#.###.########.....##.####.###........######...##......##.......#...###############.#...#....##.####################..#............#...#.........#.#..........#.#..#.###..##.#.###.#.#.....##.............#...........#..################.......#.####.....#############.##
.....................#..#..#....##...###.#####..#...#.#####..#........########..#.##.###..#..#......################.##.#.....#..#############.#######..###.........###.#.#...#..#..#.#.####.#.#####..#.#.####...#.#.#..#...##.....#.....##.#..#.#..#....##########.#####.#.#...##..#.#....#.##############.
.##....#.....#.....###.#........#.#...#.######.......#.####..........############.###.#.##..###.#......#############.............###########..########.#####.....#.####.###.....###...######.##.##...#.#######..#.#...###..###....#...........#.##.....#############.##.........#.#........##############...
...##...###.#......#..#...........#...#########.....#.######....##...###########..###########....#....###############.........###########.....###########.###....#...##..###..###.##...#####....##....####.###...##.#####....#......#.........####..###############.###.##.#.#.#.#....##..##############..##
..#.......#..............#...#.........#...#..#.#..#.#.#####....#.#.############.###########......####.###########.#.........#####...........###########........#######..#..#####.....#############..#.####.####...##..##...#..#....##....#.......######################...#..##.#.#......########.#.####...
###.#....#..##..........#.#...#.#.#.##........####..####.##..##....#############.#########.##....###.#######.#.####.....##...######........##############.#.....###..#.....######.....#############....###....#.#.#.#####...#.#...#.........##....##########.#######.##.#..#.#.##.#......#.##.####....#...#.
.#.##......##....#..#.#.........#....#...#.#...###.....#.#####......#############.####..###.#.....##.#.#####.#.##.##.#.#.#...######.....#################...#..#######.##.########..################.....#....#..#..#.##..#...#....#...#.#.##..#..##################..#.#####.####.....#......###...#.#...##
..#.#............#######.#...#.....#.##....#....#......########......###########....##.##.#.##.........#......#.#.....####..#########.#####.##########......##...####..############.#.##########..##.....##..#..##..##...##........#..##..####..#.##################....#####.###..##.........###....#.#..#.
...##........##.########....####......###.....#..#...###....##......#..###...###.#.#..#####.......##...##.....###.....##.###.#.######.##..###########.#..#....##..#..#..##########...#####.#####..###..#.##.##..####.####..............#.#.###.....####.##.##########...########..###.#....#.######.........
....##....#.....########....##.#.....####......###..###.###.....#......###........#..######.#......####...##.....#######......#....#################...#......###......############..#######...#...#.#...#..##..####.#..########..........##.......#.###....#########..######.#####....#...###.##.##..#.....
.....#..........###.##......####.....#####......##.#.##..#...#..#.....##.#......##...######.......##########.....#...#####...#..#..##.#.##..#...###....#.#...#.#....#.#####.#######..##.##..###...#.###....#####.#..###..####..#...#..#....###......#.###..###########.###.#.###............#####..####.....
.....#.####....####.#..#...###.#...#.#####.....#..#.#.#...##...#.#...#####....###...#######.....#########.........#..#####.....##.#####..#.##...##....##....####........#########...#...##.######...#.##.....#....#####..####...#......##..#......###....###############.....###.#.####.....######.####.#..#
#....#.#####....#...........##.....#..###...#....#.#.....#.....###..#######..####..#.###....#....#.######.#.....#..#######.#..####.###....#.....##......#...#..##.......#####.#.....##..##.######..##.###.#...###.#####...######.......##..........###...###########.##.......#####...........#.#.####..####
.#.#.#......#.###....#.##..#.#.#########.#......#........##.##.################......#.....#....#########.......#.#..######..##.#....#....#..###.#.##...#..####.#..##.....####.##...####.#.#####.#.#####....#..#.....##...######....######........###...###########.#....##..#.#.#.....#..##.#.#..#.##.####.
...#.......######.##.....#...#####.####..#.#.##..#........##...####...#####.###....#.####.........##########..##...#..####..##.#.#.....#.#...####.####.....##.#.#..###..########.......###.#.##...#..##.#..###..#....###...####.##...####...####...##..############.##.##.#..##..#......##.###..........####
###.....#...#......#.....###.###.#.#.#.#..##..###.##..###.......########...####..#....##.#.........########.#.###.##..###########..#######..###...####.....#........##.######.###..####.....#######.###.##..#....#.....###..#######.#.#....###.#.#.##..###########....##...#..##...##..#.########.......####
.###...##.#.......###.....####.#.......#.##...####..####.#.#....#######....###..##..#.#...........########..##...##..#############...###...#..##..#####.............###.##########..##.#...#.......#.#.###......###.#.#.#.#.#..#####....##.#####.###############..#..##.#.#...###......############.#.#..###
.##.#............########..##.#.#....##.....###.#######..........######........##...#..##..#.......######....#......##############..##.#..........####....##.#...#..##.#####################...........#.#...######.......#....#.####.########################....#####.###....#....##.###############.#..#.
#.####.........#.#######...#.........###....#..###.###.#.####.#######.#.......#......#.###.#........##.##.#.#...#####################.#......##..........####......#...#.##########.########.##................####..#..........##.######.##.##..############.....#..##......###.....#############....##.##.
.#####.........#######...#...#.......#####......###.#..###############........###.......#.#..#..#.#...#.........##################.#.####....##.#...##...##########...###.###.####..#########..........##.....#####.......#.....##...####...#.#.###...####..#......#.......#.......#...###########..###.#.#.
..#####..#......##...#...##.....#....#####....#..##.##################...##..####...#..####.......##.##.#..#.....######################.#..###......#...############.....#...###....#########.......#..##.....####...##..##..##....#.#####....#........####......#........####....#.#...#########...........
.########....#.####..#...#.......#.#######..........########.##########..#....####.##.###.##.###..###.##....###.###################.###..#######........############.#......#.#.###.#########.#..........#....#......#.....##.....##.####.######.###....#####.........#...#........##..#.###.#.#.....#..#...
..#######...............#..####.....#.##..#..##......####.##.#########....###.#.###...####.#..#.###.....#......###################..#..###.######.......############..#....#####.############.#....#....................#####......##############.##.#...####.#..##....#.##........#......####.......####...
.########....#.......#......#.#..........###.##.....###....#######.##.....#.....##.#..####.##...#####...###.#..#####################.#####.........#.#..#########..##.....##.#.##...#.##########.#.........#.#...#....#..####........###########.#..#...######....#.#.#.....#.....####...#.##.....##.####...
#########......#....#####....#.....#.##.#....##.#....#..#..#######..###.##.#..#.##.#...####.#....###..#...###.####################.####..##.#..##..#.##.#####........###...#...##......#####.#.####........#.#....#....#.####........##########.#.###...######..####..#..........#########.#.#..#..######...
.########...##.......#####..............#...##.##.##.....#.#####....##.##..#.#.#..#.########.......####.######.###################.#####..#.#...#..###...#####...#..#####.....##..#..#.####..##.#......#.................###.#...#...##########......##.#.......#####............#########...##...#..###....
#########..#####...#.###...................#####.......##########...#....#..####....#######..........#...#####..#################..#.###.#.#####..#####.#######...######..#.#.#.....#...#....###.#.....##.#.##.............#.#.#.....####.#.#...#..#..........##.#..#.......#...#.#########...##.#######....
..####....###.#.#.....#...#.........#...#....##.......########.##...##..#.#..###...########.##.....#....####.##..###############.....####....###...###.#########.######...##.###..#..##.#..###........###..#####.....##...#..###.#..##.....#...##.##.###.......###..###..#####..#.########......#########...
##.#.####.#.#..#.....#.#.##...#.....#..#..#.#..........#######....#..##......#.....#######...#.........##...####################.....#.#....######.###..#########.###.##.#..##......####.##..#......#.###..#####..#.#........###..##........##.######.#..#...#.#######.###.##.#...#.#.######...##########...
##...#######.###..####..#.....###.######.....######...#####....#.#....#..#.#..#.....#####.#.#..........###..####.#############.##..#..#.#...#######.#...#######..####.#......#......####......#......##...####.#...............#####........#..#...##...###..#.#.#...###.#.###....#..####################.#.
#.#####.####.##........#...#....#.#.###....########...####.##.....#.##.........#.......####.#....#..#....##......##############.........#..########...#..#.###.#......##....#...##.#.#..#............#......#..#.#..#..........#####.#........##.#.##...#.#......#....##....##....##..####.##############...
##.#########..#..##...#.#.....####.####......#####..#######..###.####...#....####....#.###..##.####.........#..#.#################....###....#######..##.#.######..##..#..####...#.......#...#...####....#.....##...####.....#########.##..##.##.#.....##.#.....###..######.#.....##.#######.###########..#.
.#############...###..####....##.##.##....#...####..####....#..#.#####.......#.##..##..####....####.#......#...##.##.###..########.....###...########....#..######.###########..#....#.....####..#####....#.#.###...####.......#####...##..##.###.#..#..###.##.###########.##.....#...######...#########....
..######..#.#..#####.#####.#.#.#.....#..#......#.##..##.#.....#.#.###........##########..##....######......####..###.##....####.##...#...#############.#......##.###...#######......#.......##....###...#..#####.#....#.......##.#.##........####..#...#.##.####.###.#####...#.#......##.###.....###.##...#.
.#####.#.##..#..###..#.#.##.##.........#####.........###.###..##..##.#.##.........#...#..#....######....#.....#.##..#.#..##.######.........###########........#....#....#####..###...#..#....####...#..######.#........####.##..####.#.....######.#......#.##...#.#...####..###.#........###..#..##...#....#
#.####..##.....####.#....######..#..#.########.#........##.......###...##............#.#....##.#####..#...#.......#......######...#...#.....###########....#####.#.....#.####.....#..##.#....##..#.....#.####.#.......######.#.##.###..#...#########.##.....#..#.###.####....####...####.....#...#........##
..###..###......####...#########....#.#######.####....#...#.....#.....#.###...#....#.###.#.###...###...#.......###........#####.#.#.........##########.#######..###...##......#.###...##.##.###......#..#..####...#..######...###....#..#..#.######.##........##.########...#####.#..##.......#..#.........#
....#..#.#....#.###.#.##########...#..#####.....#.....#.#.............##.#####..#....####.#...###.##..#.#...........#.##.#...###........#...##########.#######.####....#.#.....#######.#....###.........#..###...#.#...####....#.....#......##..###...#......#...########...#######.####.#..#.#..##.......#.
........##.....###......#########.#....####...#.........#..#.....#####.#.##.##.##.#.....#....##...##.#........#........###......#.#...##.#####.######.##.####.#####....##......#########.#..###....#............####..#.........##.####...#.##.......##.......#....######..#.##########..##.....#........#..
.#.#.....#.......#..#..##########.....#####...##.#........##..#.###........#....####...#...##....####.##...#.#####..###...#.#..#.......###..#..#####..#.#.####.###............#####....#....###......#...#.#....####.##.##....#########.....##.#........#.#..#........##...############........##....#...###
##.#.#...#.#..........#.###########.....##....#.##........#..#...#..#.....#.#.#.###.#...#......#####.#.##.########........###....#..#.#.##....#####...#...##...####..##.#..#...####......###.####.#...#...##.....##.####..#..#...###.#.#.......###......#.#.......##..##.#########.###.....#.#..##.....#.###
#......#..##..#........###########.##..###......#..#.#........###....#####.##...######..##.....######..#####..####........####.......######..#.########.........#.#####..#.....#####....##...####.#..##...#...###.######....##....##.###.....##........#...........#.###.##########.....#..#....###........#
##..###.#.#....##....#..############...####......########...####..##.##....##.#.######..#..#..#####################..###...###.....#...####.#...####.#.#...#........##.......#.....##..####...##..#...#....#.#....####.#........#.###.###...###......##............#.#.##############...###.#..#.#..........
#.#####..##.##......#...#########.#...#######..#######.....#...##.#.......#........#...#....#.#######..#.##########.###########.....#..#####.....####.........#####..##......#.#...###.#####.#..............##...######.#....#########..#########........#..#.........#..##################...#.#.#........#
.######....###.........####################..#.#######..#..#.#...........#.....#..##.........###.###...########.##.###########.....##..###..#...######...###.##..#..#.#.#.#.......##..#.######....#........###...###....##.#######...###########.#.......#.#.#...#####.#.#.#######..####......####.#......#.
#########...#......#.#..###########.########..###.##....#.....#..........#......#...##......####.############.#.###.##########...######...##.##.#####...##.####.##..#.##.##.#...........####....#...........##...#####.....######..#.#...###.##........#..#.##...####...####..#....####........##.#...##.#.#
#######.#....#......#.##.#######.#....######....###.#..#.###...#................#..#..#...#.#...###..#.#######...#.#########.....#######.##.##.#.######...#......##..###....#......#...........#........#...##..#######...##########...####.###...........#......###......##.#####..###...#.........######.#
.#######....##..#........##.#.##.#....#######.#.##.#########..###......#.#....#......#######...###..###.###.##....#.#########.##########.#......#######..............##.###.........#....#..#.##...........##...#####.#.#....######....######..##...#.##....####..#.#......#.####...#..#.........#.#######.#
.########...##.##.#.#..#.##.#..###........#.###.#..#########.####....#.........#....########......##.#..#...##..##..#####.#...#..#########.....###########...#......#.##.....#.#.##.....###.#.#.#........#..##..####..#.##.....####.#########..##.....##.#.#.###...........#######....#....###.#.###.#.#..#.
##########.#...##.......#####...#####...#...#....#.########.##..##....##...#.#....#..#########....#.....#####...#..##..#..#....#.....#..#.......##########........###..#.#..#...###.#.#.###...#..#...#.#.#....#.#.#.......############.#######..#.....#..#####...#.................##..#...###..###....#.##.
####..#..##.#...#......#.##.###.#.###........#....#.####..##########.##....###........########.....#.#.#######..##......#.....#........#.##....############...#..#.##..##..##.....#########..##.#.............###...........####.###....######....#.##...#....###.....#......###.##..#...###########..#####.
####.....#####.#...#.#.######...##..#......#....#.#####...#####......####..#####.....############..##.############..####...#...#.....#...####...#########.#..##........###.....#############.....##.........##.##........#.####..#.#....##.####......##...#######...........######.......#.#######.##..#####
##.....########...#.....#...#...#.#..#....#...#.##......#######....#...##########.....###########...#....#.#.###########.....#..###.#.###......##########.....#...#...##...#....####.########.....#........#..####....#.##...####......#..##.#.#...###.#...#####.####.##...######.##.#....#######.#......###
#......####.#.##.##..#.#..#......###..#..#..#######....#######......#.....######.......##########............###########..#.########...###.....##########.....##..........##.##..##.#########.##.......#..#..#####....###.#...######...##.#####..####..###.#############..#####.#.......########.##..#..#.##
.........#.#.###...#......#.......#...#...####.#####....#######..#.##..#.#######...#...###########...#.....#################.#######...#####..#..#########.....#.##..........##..##.#############.....##..#.....##....######.#..#...#..##..####...#.#.#...###.#######.###...##.#.....#.#########.#..#.......
#.#....##..########.....##.......#....##...#########.....######.....##...#.#####...#...###########...#.....###############...########.#######.##.#.####..#.#.#.#..#...........#.#...##########.#.......###.###########.#.####.##........#####.####.....#####.##########.###.#.........############..##......
##..###...###....###.#...#...###.........#.#########....#..#####.....##..#######.......##########..#.##.#..##.#######.#.####.#..#.###..######...#.########.####.##.##.............#..#######...##.......############.##.####.#.....#...########...#......###..########.#####...#.#.##..###########..###.....
.....##..#####......#...####..##....##...#########.###.#....#.#..#.#.#####......##...##.########..#.###...#...#######..###..##......#.#######.#...#..###.#..####.###.#.........#.....#######..#..#....#..###########.#.#................#######.#.##..#..#..#...####...##..#....###.##################.###.#
......##.########..##...#.####.##...##...#########..##...#.##.....#.#####..#....#...#...##########.#####.....#.######.#....####.......#######..##.#.......########....##....#...#.#.#...###..#.........##########.##.......#...#.........##########......##.....###....###...#.##.....###########.#####.....
#...##..#######.####.#.#.#.####...#..#.##########.#.###.##..##....#######.....#.....#..############.###.......#.####.##.#.###..#.#....#######.####........########...##..#.....#...#.....###.....###....#######........#.###....####....#########.#......##.###.#......###.....##......###############......
....#...##############..#.######.#...#..#########...#.####..#....########...#.##...####.####.......#..#........####..##...####..##...########.########...#######....####.##.....#.......###.###...#.....######......#..#####..#####...##.#########...##...#####.....#..##.....####..#..############.##....#.
...#..################..#############..##########...#.####.####..########....#####...##.####.......###.....####.##....#...#####.###.###.#######.#####...#######....###..##.####...#.....##...#..#..#...#.##.....#......#######.####.#.....##.#####.#.##..#.#.....###..####....####..#......###########.#.###
.##.#.###.#######.#####.#...###.#....##....####....##.####.###..#########..#..####.##.#.#..#.#....##.#..###.#.###....#.#...#.#......##..#######..####....######...####.#..#.#.#..#....#........##..#..#..####.#........###..##..####...#..########..#.##.##...#.#...#.###..#..#####..##.....########.#...###
##.##...#..#####..#####......#...#.......###....#..#.####..######.####....########.###########......#######...#.##..#.......#..#..#.....##.#######..##....######....##..#.##..........#.#............#...###...........#.#.##..##.##..##..#..##.#.######.#...###....##..#..##.######.......###########.#####
..####.....#####.#.##.##...##.##.#.......#.#..#######.###........###..#....#..#...#.####.####.....#.########.#..##.....#......##.#.....#.#######...###..######..###.#..#..###.....#...##..#.##.#....##...##.#....#..#..##....###...#####.......#.#.###...#..#...#.#.......#########......#.########.########
#.###.......####.########.###.##......#......#.######.##....#.#..#..#..#.....#.#...#.#####..#.....######..#....#.#...##......#..#.....############.#....##..#....#........####.#..#.#...#.#.##.#..##.#####.#.#..#.#...........###.###.#.#.#...#.##...##......#....#........#...####..#...##.##.#####.######.
.##...........###.##########.####....#...###.#.########...##....#.#.....#..##.###.....#.#####...#########....##.#######......#..#..#.#############.......#.###...#.##......####..#.##.#......#.......##############...........###########....####....###.##...............#..#....####.##.......###..###.###
##...#.........##..#.###....#.####.###...###..##########..##.......#.#.#.#.##.###.##....###......######........####..#####..#..........#.#########.....########.#.#.......#####.##..#.#..#.#..##......#####....##......#.....#.#########.##..###.#..####..#....##.##..####..#......###.##..#.....#####.#####
.....#.#.##....###.#.###..#....#####..#..###..#######.....##.#......##.#..#.##.#####....##...#...####.#......##..##...##.......#..#....#########...#.##########...##.#.....#####....#..#.....#....#..########...##...........#..####.#######.####.#.######.#..####...##......#.....##....#..##...#.####..###
......#..#####.#..#..##.......#####.#...#####....####...##.#.###...#.######.#..#####....#...###..####........##..#.#..........#..###.######.####...#..##########..#.......######........#.#.#####.....#####.#..#######..#.......#######.####..###..#.##..#..#####....#..........#........#.##############..#
.....#.##.#.#####...####.....#.#.##......######..#..#.##....##..#....####..#############.#.#..###...##...###..#.##.#...###........#########............########......#.#.#.######.....#...#.#####....###.#...##.#####.#.....#..#.########..##.#####.#.#...#..#.#.......###.....#...##.###....#.#######.###..
##......###....###.######.##.#..#.#.....#####..#....#.......#....#...####..#..#######.##.#####...#.......###....#........#......###########.#..#.#..##..#######.#..####..#.#####...#.....##..###.#...........#...#.###......#.####.######.##########...#....#..#..####....#...####...###......#######.#.....
##..#...#..#....##..#####..###...#....#..####.......#.......##........#.############.#..#######...#.....##.#......##.#..#..######.############...##.#.##########...###...#.###.....#.#.#.......#...#.....#......#..###.#.##..#..#..######..######.###....###.##.#.#.#..####..#....#.#........########.##....
###.....##..#.#.##..##########.#...##.#..###.##.##.#.#.....###..#.#..#..#......#######..#.######.#....#..###......##...#...######...###.#######################....##...##..#..#..#..##.##.#..#.............#..#.#######......#....######...##...#..####.##..#########.######.#..###..#........#####.#......
##........##..###...#####..##.##...#......##...##..##.#....###...#....#.##.#.#.####........###.#........###.#..#...###.#....####.#####.########.##.##############......###.#...##.###..###.###.##................#####.####....#.#####.....#.....#...#..###.##.###..##.....#....#..#.###...#####.####.....#.
###........##..##...###.##.####.....#....#..#...##.......##.#..###.......###..#...##...####....##.....#.#.###..##...######..####.#.###...#######..#############.#...#####.#.....###...#...#.######........#.....######...####..#.#.###....#....#.#.......#.#######....#.....#.#...##..###....##.........###.
###........##..#...########.....#.......#.#.....##...#.######.#..#.#.#.##..##.....#....##.##..#...........####...##.######....#....##....######...##########..#.....######....#........#..#.##.#.#......#.#......###.#..###....#..##..........#.#........###..######....######..#.#.#................#......
..#.##..............########...#...##..#..###....##.#....#....#...#.#######....#.......#.####......#......##.#..########........#.......#..####...#######...#.#..#########.....#.#...##....#.####.#.#.##..#......##.#....###...##...........##.#..............#######.########.###.#....##.#.....#.....#....
...####....#...#.###########........####...#.......###..#...#.....#####.....#......#.....####...#.#........#############.#.......#...#.###.####...#########.#..#.#########.##........#....###.##.####..####....#..#..#.#..#..#..#.......########.#....#......#########..#########.#...#.#.#........#........
..#####...##.#.#############.#.##....###..##.##.#.######.........#...##.####.#.#..###.#..##.#.#######..#..################......##..#.#.##..#..#..########..#...#######..##.............#.######.#.....##.#..#..#....###.#.#.#........#.#########..##....#....########....######..........###......#######..
#######..#..##.############...#......#.#..#####....######...........#######.###..##.###..#...########..#.#####..#########.#..##......#.....#.##.....#####......########.....#.........##..#######.#.#.#........#.....#.######....#....#########.##.##.......####.####....#.#...#..#.....#.##..####..#####...
##.#######..##..############..........#....##...#.##..#.....##......##.###.###....#.#.#.#...#.########...#####.########..#...#.........###.###...###....###.....#######.....#...#########.######....#####...#...#.....#..#.........#.###########.#.#...............#####.#..##..#######..##########.#######.
..########......############...###...#.#.......##....#..#...#.#..###....######....#..........##########..#..###########.#.....##.#..##.######.....#.....###......####....#.##...#################..####.#.....#.......##.....#....#####.##..###...##.......##........####.....#.#.###...################.#..
..#.######.##...#############.#####...........###....###..........#.....#####.........#.....###########.......#########..##.###.#...#.#######...####...####..#.....##..#.#.#..###########.#####.#########.....#.#..........####..##############.###.........#.#.##.########.....#.#..#...################.#.
##..######..#...####################..#....##.......#####....#.......#.######.##.##..#....#...#########........#####.#..##.######......####.....##.###.#####.......###....#....######.##...###########.###.#..###........#.#.##.##.######..######.##.#..#....#..########....##...#.###..################..##
.....#####......#####.###############......##..#...########.#....#.#.#########...#..##.#.##....#########..#....###....#########...#....##........###########.##.#...###....#...#.#####...######.#######.#.#..####..#...#...#...#########.#####.##.#..#..#...#...#.#####..#........#.###.#################..#
.....####.##...#..#...######.#########.......###....#######............#####.#.....####..###...####.##.#....###.......##.#.####............#.##...#######..#####.###..............###....##.#######.##....##..#######..###...#..#######...#########....####....#.######...#.....#.#..##.################....
....######.#...#..............########......#####..#########...#.....######.###.#..##.....##..#.##.#.##.....####.....##.#..###......###...#.#.#...####.##..####...#........#.......#.......#######...#..##....#.#..#####.#..#......#####..######........###.......#####..##...#.#.....##.#################..
.....###..#...................##########.......##..####..###..........###..##....###.##..###.#.####..#.....#####.#...###..####.......###...#.......#####.#.#####.#........#.#..#.#...#...#.#########.#..#.#.........#.#####.##....####....#######.......##.###.#.##########.###...........################..
...#...#.......................##########.##..##...##.##.#.##...#.....###...##...........#########...###...#########.#########.....#.........####..#..#.....####...........###.#......#..#.#######.##...........#.#...#########......#.#..######.......#.##..##..#########....#....#...##..#################
##.....###.....#.#........#.###..########......#.......##........##....#.#..#........##...#####.#...######..####....#########.##....#.#.....#####...#..#..#........##..#....###...........#.######.....###....#.......########..##.....########......#....#.#.#...#####.##...........#...#....##############
##.#....##.....####......#......#########.#.........#..#..###...##......#..#.....#..#.#...#######....#######.#.###...#########..#....#...##.#.###...#...............##......###..#....#....########.....###...#.##..###..####.###...#..########.....##...##..#.###.##..#.#.....##...........####.###########
###.#..#.#..#.##.#......#...#..#.#######.#.....#....#..#..###.##..#....#....#...##..####.######...##########..#.#...#.########.###..###.#.#.######.##......#...#.......###....#..##....##########..#.##..#.#.....###..##.#####.######.....####.......#....#..#.##.#....##.....##..#...#.........############
#######...#.......##..####......#.######..#.#####...#...#...###.##..#..###.....##..#.##....###...##.#########.###.#...########.##.##.#...##.###.#..##..#..#..##..#.#....######..######..########..####....###...####.#.#######.#######.####.##....###......#...#..#.......#####....#..#.........############
####....##....##..########.##...#...####..#.######...#..#..#####.......###.#......##.##........##..######..#.......#..###########.###.##.#.#..##...#.#....#...##..#....####....#.#####..##...#####.#####.#.####.##.###..###...#########..#......#..##.#..#...#............#####...######......##.###########
#######.#...#.##..######.#..##......##.#.########...#....#######..###..####.#..##.##..........#..######.......##......#######....................#....#....#..##........##...#############..###.##.###.##...##...#..###.#.......#######.......#.............#..###........####...#######.#..####.###########
#######.##.#####..#.#..###....##.....#...##.#.####........##########..##..##....##....##.#...##.#######....#.#.###....########...#.....#.#..#....#..........##..........####...#######.#########.#####.......#..###.###....#.....##.#........#.#.#............#.#.......###.###.#########.#######.#######.##
########.###.#####.#..#.##..#..#......#..###..#.#...#.....#######.###.#.##......#......#.#...#...##.###..#...#.##.#..##########.........#..#......#...#.......#...###.........########..##...##.##..####...#.#..###...###...#.####.#.............#....#....##..#..........##.###.##.############..##..##...#
########..###..##.##..#.##.....#.....#.####.##..##..###..##..#.###..##.#...........................#######.........#..##########.....#.....#.....#..##.##...#.#.####....#.#####..##..####...##.##....#......#.#.#......##.......#.....#......##...######...###.............##..##.#####.###########..###....
########..#.#.#.##.#....#....###.....#.###.#..#.####............##....#.........#..#...#.#........###########...###..#..#########...#....#.#........#....#....##.##..#.##.#####.#..#######....##.........#.......#.......##......#.....#....#.#...####.#....#....#.........####.#.#.####..###########.......
########...#....#.#.....#..............#.#.#....###............###.....###.....##..#........#....##.######....#.##...#..#########.###....##..##..........###.#####....#.#.######....#########..#....#..#................###..#..................#.####..#..#...##.............#.##..#...#.#############.#.#.
#########........#.#...#.#...#..#.....##.###.....#..#.####....#.##..###...#............##..#.#......####...####.....#############..#.#..#......#.###..#...######.#.##....##.#.#.#.....####.##..#####.###...#.....#..#..#.##..##....##...#........######..####..##...#.##.......#....###.#.############.#..#.
###.#.#..........#.#......#....#..###..#...#######.###..........##...###...#.#.....#.............#.#..##....#......#.#.#.########.##.##..#.##.#...#.##..##.##...#.....##.#..#.......#..####....#.###.#......#.....#.....##.#.#.#.............#...######..#.#..#......###..#.....#...#....##############..##.
##.####......##......#.#...#....#..##..#...##.#########....#....#.###.###..#....#.......#........#.##......#..#....#.....#########.#..........#..###.#..##......####.#.#..##.#...##.....#.......####.#...#.#..........##....#..##.......##.....#..#############......####...............#.#..###########..#.
#...##..#...###..########.##....##.###......##########.#..#...........###.....#.##.#....#.......####............##.........#####...#........##..####....##......##.##...##....#..#########....###.#.#####.##..#..#.....##.....#.#..#.....#....##.##############..........#..........##......#############...
....#.#...####...########......###..##.#....#..#########..#...#...#....########.#####..###......###.#....#..#.#####.#.....#####.....#...#...#...###.....###....####.#.####.#..#...########.#...#....#.##........##......#.......##......#####.#################.#.#.........###.#....###.#.#...########.##..
.......#..#####...#######.....##......#.#..###########..#...#....#....#.######...######..#....##...#..#.#..#.....###.#..######...#.####......###.#.##.#..###...#..#########.#.......######....#.....###.##.........#.####....#..#............#####.#############.......#...#.####...#####.#.###.#.#.##...##.
#........#.####..##########....##.###...##.#.############.......#.#.##.######.......####..............#..###....#.#########.##....#####.....#..##.##........#..#..####..##...#.....##.##.#.#....##...####.#.###...######..##..###..##........##############.###.....#........#####...###.#.....#...##.......
##..........###################..######...##..##.##.#..#.##....#...#..#.######..#...##.##......###.#.....##.....#############.....#...##...##..###.##......###.#...##.........#..#...##.##......#.#....#.#..####.##.#..#......##.##.#...##.#.###....########.##.#.#........######.....###.#...##.........##.
......########################.#.########..######......###....#........#########.#.#.####.......##.....##.#....#.###########.#...##.#.#.#..#....#.##...#...#..#...#..#.....##.......#####....#....#..##....######......##.....#######..#######.#...#.###..#......#.#.#.......#.#.....##..#.###...###.......#
.#.....#######################.#..######..#...####...................###.######.#...#..##...#..###.#..#.##.#.###.############.#.#.##..####..#......##..#.....#...........#.....#..#.#...................#....####...##.#......########.#####..##.....####.#...#......##......#...##...##.#..#..#.###......#.
###....################..#######.#...############....#.#..........##.###..###....#.....##...#..#####...#...####...########....#.####...##..##.#.####.#...........###.....#......#.#..#.....###.......##.#......#.#...#.##.....########..###..#.#.#...##.#.......#...#.#....###....###..##....###.###........
##.....#############.###.#.#..#.#......##.####....##...####...#..##...####.#.#.#.....###...#....##..........###..#########.##.#.#......######..####....####....#.#.#...###.#.#.#.#.#.##....###...............#....##..........#######.#.##...####.#..#....##.................#.#..##.#..###..#..#####.....#.
#...###############........#.#.........####..########..#.###.######.....###.#.....##.........#...#.......#.#.#...########.#.#..####....#####..#####......##.#..##..#..#####.#.#.#..######.####..#..#.......###......##...#.##....######.##...#..###.###....#................#.......##...#......#.#.##....##
##.#...#######.###.........###.....#.######...#######.##..#############...#..#...#.....#.##.##........#.##.#..##.########.#......#....######......#......#.###.......######.#.#.....#####....##.......##.####.......#...#.###....#####.####.###.###..##..###....#...........###..#.#..#######........##...##
.###...#######.##.##.......####...########....######...################.#..###..#..##....####..##.#.....#..#...#.#.######.......#.....#####...#.#####....#...#.....#.######...#..####.#.....###.#.........###.....#.##.######....#######.##..########..#....#.#.##....#.#######..###..#######...###.....#.##
.##...#######...#.#.#...#.################...#.###......##############.####.#............#############..#.###..#.....#.#..........#...####...###...##..#............#######.#..###..#......#######.....#.#.#..#.#.###.#...###.#...#########...####.....#..#..###...#.######.#####.....#.########.....####...
....##.#######.###......#.######.#########....####.#.....##########.##########.#...#....##########...#...#..##........#####..........###.....##.######......#..###.#######..........##....#######.#.....#.#..###..###.......###....###########.###..#.#.....####..###############.....#.#####..##.........#.
##.....########.........######.#######...#....#...#.##.#.##########...#.######.#......#.##########..###.......####...#####.........#####.....#.#.#####.....#...############........##....###.####......#.....###.#.#...#.......#..#.#########..##.......#...##.#.#...#############......#..####.###.........
#####...#####..#..#.....######..######....#.###......##...#########...##..####.#..#....#########....##...#.#..###.#..####.........#.####.......#.#####.#.....#####.#######....#......#....##.######...######.##....#....#....##.#...#.#..####.######..#...#.....#.################...##...###..##.......#...
##.#......####.#....#########..#.#####......#.##..#.#.....###########..#.#######..##..#########.#..#.....#.#..###..#.##.#.##..#.#.#.###........#...#####...####.##.###.###...#####..##....########.##.#####....#.........#.#............#####.#####..#..###.##.#.#...#############...###..#.#.#.#.....#..#..
..##....######.....##########....#####.......#.#..........##########................#.##########..#.#...###.##.##..##..#.##.....#######.####..#....#..####......##...#############...##...########..########.............##.....#..##....###########.#.#..#.#.##..#.#.###########...#.....#..#####......#...
..##.##.####..#..##.#########......#..####........##......##########...........##......##########.#.....###...#..#.##...##....########....#..#.#....######.##..#....#.....##.#########.#.....##############......##.......#.........#....###..#########...##..#...###..###########........#.###.##.#..#.#...
......######....##.########..#......#...........####.#....##########..#.##...#....#...##########.#..##.#####.#######..........########.............##.###....##........#..##########..##...####...#..##.#..#...##....##..................##.###########.#....#...#.......#.....####.#......#.#..#..##.......
......#########.#######.###.#.......#.#.###...##.#.#...##.#########.#..#####....####..###########...#######.#########..#..#...#######...#.#....#..##..##....##..##......#.##########.##.....##.##......#..##........#.#........##..........###.###########.........#.....##....#.#.##.########..#####.......
#.#..#####.#...#####.#..#...#.......##..####.#.........#...#######.....###.#...##....#########.#...###...##...########...###.#.####..#.....##.#...#...##....#..#.##.....#...#####.##...#....#.#..#..........##..##.#..#.......##...##..#...##...########.##.#....#...##########...#..##########...........#.
...#..#####.##.###.....#..##......#####...##.........##.....####..#...####.....#.#.##.###.##.#..##.#.#....##...######.#..###.#..#..#..#..............#.#........###....#.##.#...#.....##....#..###.##...#.#.########..#........####..##.###.....########.#.......##..#########....#.#########.#......##..###
##.#..#..#..########.......#.#..###..##..##......#.#.#.#...####..#.....#......####..#########...#....#...##.....#....##..###.#....##........##........##........##.######..#..........####.##.######...##..#########..#..#..#..####............#.#####.###....#.################.##.###########..#..#....###
##.#.##....#..#.##..#.....#.###.#.#..#.#####.#.....#####.#.####......###......##.#.#.#.#.##.....#..#.....###........#.#.####.....####.##......................#.#.#########...#.####....#######.##.........####..#.#....#.########.............#..#.#...##.....#.##############.....#########...#.#.......##
..#.###...#...##....##.#.....#####.....######.......#.###....###....#.#...#...#..#.##....###..###..###..#.###....#...###..##......####...#..............#...#########...##...#....#.#.############.#.......######.###..################...#......###.#......#...#.##############.....########.##.....#.....#
.######............#..###.....#####.....####.#...#.###..............##.#....##......##....#...#####......##...#..#...#.##.#.#.#....####..#...##....#.....############.##..#......#.########...#######..##.#####..###..#.########.##.####..##..##....#...#.......#.#############.##...##########......#.##.#.
######....#............#...#.#.####...#######.#...#######..........##..............#.#..#.##...##.##.##...#......#.......#######....##.#...##..##.........#######.######.#.##..#.#.#.#################..#..##..#######....#####....##.#...##..#.....#####......#.####.############...##########..#..##..#...
####.#....#..#.........#....#####...#..#.###.#...#######....#.#####.#........#.#...##.....#.#...#......#####...#....################.......#.....#####...################.##.....#....#########..##.#.#..#.###########..###.....#....#....#...#.....####...#...#.#################....########.#..####...###
####....................#..#..###.##..#...###......#.##.......###.#.###....#......#.###...######....#########..##....###############.##..####...#########..######.......###.#..........#########.#.....#...############.##.....#.....#......#....##.#####........#################.#.##########....#..##.#.#
########..#....#........##..#.....#..###.#.#...#.....####..#.....####.###....###.#...#.......#.......####.##...#..#.##############.####.###..#...######....###..#.#.....###.....##....#.######.#####...#...#############..............#.#...##...##...##..##...#############################..##...#...#####
.######.......#..#.#...#.....#.###..#..#....#........#..#.........#....#.....###..#..##....#..###....####............##############.###.##..#...#######.........####....####.#.###...#.#.####.####.........############.........###....##......#.#.#...#...#.........#.#####################...#....#...##..

12 250 273 2 1
#..#..#.#.##..##.####.####.###.#.#.########.###.#.#.#.#############.#..#..###....#.#########....#.######.#######.#...#.##.###..##.#.#..#..#.#####..#.###.###...#######.##############..##.######.##.###.#....####....#########.##.#.#######.....##..###.##
.####.##..##..###.###..######..#.##############..#####.#############..##..####....#.#.#####......##########.########....#.#.#.#.#.#####.##.#.#.####.###..####.##.######.################..#####..########..#################..####.#########...##.########
###.#.#.##.######...#.##...####.#############################.#..#####....##########.#.######.##..#.######.###.######.####.#.##...##...#####..#.#...#.####.#.#...#.####.#.###############.##.....##############..#####.###.#.#.#####.#...#...##########..#
##.##..###..##########...##.###########..#.###.#####.#..####.#..#.####..#.#.###..###.#####.##.#...#####...##################.##.#.##...#########.....#....#####...#####.#######.#####.#.####.##########..########.###########.######..##.#..##.#######.###
.#.#.#..######.#####..#..##.###.###########.#..#...#####...####.##.####..######.####.#..#######.#.####.#.#########.#######..########..#######..########....###..#####.####.#.########..####.#..#..##############...#####.####.#.###..#######.#####.###..##
#..#.#####.#.########..#####.###.##########..##...#.#.##.#.....#########.######..###.##.#.##.##.#.#####.####.####..#.#####.....#.##.#.##.#####..###.##.##.###############....#######.#.#######.....#############..###########...####...###..######.####.#.
#######....##.#.##.#.#..##.########.#########.##############.#...########.#####.##.#...####..#.#.#.#####..##########..####..###.####.####.#.#####.#########.#######..#########.###.############....##.###..#.#####.######.##.#..#.#########.#########.#...
####...#..#######.###.#..#######.###..##########..###..###.##.#.#######....######.##..###..##...#..###.####.#########.###..##.######.#.##....###...####.########.########.#..####...#####.###.#.#.#########################..##############.###.#####..##.
########################.########.#..########...#.##..#..##.##.....#...#.##....######.###.#.##..##..##.......#.#...#..#.##..#.##.#.#####...#####.#.########.#####...###############.#######.#.###.###.#.###...####.#.#....#...#############.###########...
#.######.#.#######.#########...#.############.###.###....##..#.#.###.##..#....#.###..#####...#....#.#..#..#...#...#.#########.###########...##..###.#####.########.#.###.####.###....#########.####.#..#.#..#.##.#..#####..##.############.#..#.######.###
.#.############################.....#######.##########....##.#######.######.#...###...#.###..###.##.##....##.#.###.########.####..########.########.#########..####.#.#...#.######.##.#######.##.#######.....######..##...###############.###.##.#####.###
..####################.#.#########.##..########.######.#..#.##############.##..#########.##..##..#.####.#####..###...######.#...#.######.###...############.#.#######...#.####.####.########.#.####.###.#.########...###.##.#.#######..#######...######..#
#.###..##############...#######.#####.#####..#####.#.##.####################..#####.######...#########.##.##....##..#.#####.#.###.####.###.#.############.#..#######.....##.############..#######.##########.###########.#.#..#.#####.#######..###.###.###
##..##################.##.######.###########.##.##...#.###################################.######...#.#..####..###...###.#.####.#..###.######.#.#.######..###.#####.###.#..#.###########..#.#.##.#..####.####.###########.###..#####....###############...
#.#..################.##.##.#####..#########...##.###.#.#################.#.##.####..#######..####.###.###...###.#..##.#....#...##...#.#..#....###.#####.##.....#...#.####..##############.###..###..##..##.################.########..#.##########.#.#.##
##..###########.######.##########.#.#######.#.#####.#..#####################.#.###.#..#####.##.##.##......#########.#.#.#..#.#......###...###.########.###..#.#.....#####.###############.##.#.#..###.#..###..###########.############..#####.############
##....###....###.#####....###################..#.##.#.####..##############.#.################..##.##..##.###.###..#..######.#....#..#########.########.######.#..#.#####.#.############.#####.#####..####.#..###########...####.#..###..#######.######..#.
##..##..##..######.#####...###.##############.########.#....#############.#.###.##########..##..#####.###...######.#######.##.##.#.####..#################..#####.#######.##.###########.#.#...#.#..#.#######.#############.###...####..#################.
##..##.##.#########.###.#...###.#########.#####..######...###...##########.#######.#####..##########.##.#.###.#######.##.#####.####.######..#.#######.#.##.##.#.#.#.##.##.##########.####.##.....#..#.#.###.#.#############.#####.########.#.#############
.####..####.########.#.##..######.#######.####.#.######.##########..##..#########.################.##...#.......#......##..###.#...#########..##############..###.##.....#.####.###.###..#..####...#.#.#######..#.####..##.#.###.#.#...#..##.##.####.####.
..#####.###########.#######..#...######.###.###.#####..######.#.###....#######..####.#####.########.#.#..#.#######.##.#....###.##.##########.##########..###..####.#.#.###.###.###.###.#.##...#.######################.#.#.#######..###.##...###.#########
.####....##########.######....##..#####...##########.############...#...#####.#.##.######..##.##.###########..##.#.....##..#.#..##.########..#######.#......#...##.######.###.#.#.###.###..########..#######.##.##.#.#.#..#######..###.....############.##
.##..#.....#.######.#...###..###..#.###.##.##..#####...##########....##.##########.#..###..##..#####.########..#..#.#...##.###.##....#####....######......####.....######.#..##.##.#.#########.#####.#########...##.##...##...####.##.################.###
##.######...#######.###.##...#####..####.#.##########..######.#.#..####.###########...#.#.#..#.###..#..######.#.#.###.####..#.#...#.#######..#.#...##......#.....#.######..#########..#.##..#.##.############.##..########.#.#.##.######.#################
.......#.##...##.##.###.####.#.#####.#####.#########.#...#####.#.#..###..#########.####..#..##..##...#.##############..#.##.####...###..#.##..#....####...####.##########....#######..########.#####.#########.#####..###.###########.##.##.#.############
..#.#######....##..###.###.....####..####.############.#.###.##.##.#.....#.###########.#.#####..#..##.###.######..##.#.....##.#.########..###.#..#....#..###..##########....#########.....###..####.######..#.#####....#.....###..####.##.#.######.#######
#..###.##.###...#####...........##.#####.####.#########.#.##.###.###.#.#.#####################..######.##.###.#####.#.##..###.########...#############.##..#.##.####.#####.#########.#####.#.###.#####.##..#######...#..#..##.#.#####.###########.#.##.###
.##..#.##...##.#####.#....###...##...##......##..###.........#.#######..####..#######.####...##..#.#######....###..#..#..#.####.###...###.###..########.##.####..####..############.#########.##.####.#.#.#######....##.#####....#...##.#######.##.##...##
.#.##....#.############.#####.###.#####.#...#.....##.....#.########....#.#.##.#########.########..#.##...#...######.#.#..##..###########.#.###.#######.########..####.############....#########..##.##.....#####..#....##..##...#################.#####.##
####..##....###..#.############.###.##.###.....####........############.##...####..####..#.#.#.#.#..###.......#.####....###.###.#########..#.##..#######..#####.####...##########...#.#####.#..#.#.#..###..#########..##...##.#..##############.######..#.
##############.#..############.###...#.....#####.##.#####.#.#######.####.###..#########.##.###.......#####..#.###...#.##############..#.......#.#.#######.#######.###..############..#######..#####.#..###...#########.#####.##.#.###########.##.######.##
###########....######################..##...##.##.#######.#####.####.##.##.#.#####.###...####.##.##..###.#...#.......####.#.###.#.##.###.#...#..#######################.############..#####...###...#...####.#.#####...####..###..#.###..###...##.#####..#
##.#########...##..#####################.#.#######.######.#.########.#####.###.####.#####.#....#.#.######..#.##.#..#####.#.####.#########...###..############.##.##.###.########.##...########.###.##..########.#......#####..##..#.#.####......#.#####.#.
###########..#..###.##################.##.#...##.#.###.#.#####.#####.#####.###..######..####.#....###..###.##.#..#.#######...#...#######.#....#.#.######.#.#...###.##############.#.#.###.##.####.#.#############..########.#.####..####.#...#.##.#.###..#
####.###.##.#...#.####################.######..#.#...#.#.#..#.######.#.#######.######...#..###....#..####....######.#..######...#######.....#..##########.####..#########################.#..####..###.########..#..########..##.######.####.###....##....
############...#####.##.###############.##....###......#.###..######....###.####...###..#.#######.#..######...#..####..##.#..############.#.#.##########..###...#####.#############.#...####...######..###..######..#######...#######.#...##.####...####..
##########.#.####.######################...#.##.##..#.#######...######.#...#...#.#....#.#.#.###.#..#.#######.#.#.#######.###.#..##########.##.##.#########.####..###.##...########..####..###..##.###.....##..###..#.######..###########.###.#.#......####
###########...####.####.################.#######.##..#.#####.##.#######...#.##....##.#.###...#.##....####.#####.....#.##.######################.#.#######...####.######.#########..#.############...##.###....#.######.#####.######..#.####..#.#....##.#..
###########...###..##.############.###.########....###...#...#.####.#####.#.#.#..####.#####..#.#.#..#######.#.#..##.#.###.#.#####....##.#...#.#########.#...#....#########.##########....#..######.###.####.#..##.##########..#.###....#....###.##.#..##.#
#####.#######..##.###.....#.###...####..##.#.#.#...#.#####.##..#########..#...###########.....#.#.############..##...#####.#.#.#....###..#.######.########...#######..###...#.#######..#..###..#####.#.....###...#.#..##.###..#.#####.###.#.#.#.####..###.
......##..#..###..###...#..###.######.#..#.######...#.##.#####.##########...#.####...#####...####.##########.####..##..######.#....###..#..###...#########.#.#.###.#.#.##################.#....###..#.#.##..##...##.##..#..#.#..###.#.####.#######.#.#####
#....###.###.##.#########.##..#.####...####..####.#.###..###.############.#...#####.####.######.###...#####...###.###.###..#.##..###...#..#####.##############..###.##.##.##..#######.####...##.##.##.#######..#...#.#####..###.###.#..#..#.###..#.....#..
#...####.#.#.#..######..#.###.##.######.#####.###.###..#.#.#.####.######...#.#......#.#..###..###.#.#.####..######...#####.#....#.##.###.#...############.......####..#####.###########.#####....#.##.###################.####.##.##.###.####.#####..##.##
.....#.#...#.##..######..###..#######.######.###################.#.#..####..#...#...####.#.######..##.#####....######.#...#...####.#.#.####.#.############...#######....#...##.#######..#######.####..#.#..#.########.#########..#####.######.##.#..######
##...##.##..#######.####.##.#.#..#####.#.........######.#..#.##################..#.######.######.##########.#.#.########.###.###.#...######.#############.#.##.#####..##.####.##..####..#.##..####..#.....#..#######.##########.#.#.##.##.####.####.######
.#...##############.#.##.#.########....#.#.##..###.########..#.##.#.########.#....##.##....###############.....##.#####.##.####..#########...####.#####.##.#.##.######.###.#..#######....#.####.#.#.#####...#########..##########..###..#.####.###...#####
.##..###.#########.######.#..##..###......#....#.#.##.##.####.###..#########..##..#..#######.###.########.##.#####.###.###........##########.###.##########################..#..##.##.#....#.#.##.#######..#.##.#...###..#.############.####.######...#.##
#..##.#.##.#############.##..##.#....#.#....##.#...#.##########..##########...#..#####.#############.#####.#..###.#########..###...##############.########.##############.#.######...###.##.#...#..#####.################.#############.###..######.##..##
.##.#..#..#.#......########.###.#...######......###############.###.#####....#########..##.#######.#######.###.###.#######..####.#####################.##.#################...#..###.#.#####..###..#####..####...####.#####..##.#######.#..######.###.....
..###.###.#.#...#.##.###.#####......####.###..#.################..##.#####.###.####.#.##..#.######.####...#####.##############...#####.################...#.####.##########.#.##.##....#.#.###.#.#####..###.##...#.#.#.#.###.#.##.####.#.##########..##.##
.#.####..##...##.#######.######.#.#####.#..#...##############.#.#.###########.#.#...#.#..###.#########.#..##.#..#.############..#######################..#####.#.##.####.###.#..####.#####..#.#.######....#..##....##..##.....#..######.###########.###...
....###.#.#.#.###.###############.##...####.#....##############.###############...#..#.#.#.#############..##..######.###############.##########...###.######.###...#####...#########.########.#######.######.##.##..####.######..#.#####..#########.###.##
###.#.###.####....#######.#.#######.#....#.##..######################.#.#######......##..###################......#..#########.####.#########.#...###.###.#..####..#.######.######################.##.##..#.#..##.#.##.###.###########..######...#.#######
####.###.#######.####...##.##..######.......##.###.#############.#####.###.###..#..###.######.###########....#.#...#.###############..######.####..####.##...###########...#.#########.#######.##.#....##.##...###.#..##.#.####.#.#.#.####.#####...#.#####
##...#########.#.###..###..#####.###....##.#..####.##############..##.##..############..###########..########.##....#########.########.##.....#...######.##.############.############.#######.#...##.##....#...#....##.#..########.#...#.###.#..#####.####
###..####.####.#####.#.###.....#..#.##.###..#.#....#.############...####.##.####...#.#.####.##.####..####.#######.#############.#########..#####.#.####..###..#########.#.#.####.#.....#..####...#..###.#....##.#.#####...###.##.#.#..#..#####......#.####
..###....#####.#.#.#.###..#...###.#..#...###.#.#....#####.#########..#.########..##.###..#..#.###....###########..####.#############.#####.##.#..#################.###.##.######.##.#.#..####...##..##.#..#..###################.###..#.###########...####
..##.#..######....###.#..#########.#..#..###......#.##..##.######.#######.#####...####....#..#..#..##############.##.#.#######..###.########..###.#####.#.####..###..#.############.###.###...###....#.###.#.##..####.##.##.#.#..####..###...#...##.######
.#####.#....##....##..#......########...#.###....#...#.##.#######..#####.###.#.#..#########.#.###################.#....#####...####.######.###...#.###########.#.#....########.####.###....####.#.##..#.###..#.###.##..#.###.##.#...##..#......####...####
##.######..#.#..#.#..###...#.###.#####.##.#.####.######.#########.############..#.#.######.#.##.#######..#######........##.....####..#..#...#####.####.####..#.##...##.######.####.####.##..###.#....##.....#.###.....###########..####.....##..##.#.#.###
##....#.##.......#.#.##.#.#########.#.##.##.######.#.#..#################.#....##########.#.#...##.######.####.###.#....#######..###.#.#.#######.#####.#..##..#####.#..#############.#.#.#..##..#.....####...#####..##..##..#.####.####.###.#...#..#.#.###
..######......###...#.####.###############.#.##..#..#...######.#########...##...##.###########......####..######....##.#####..########...#.##########.#.####...##.##.########.####.##..##....#..########.##..#.#.#..#..#.#.#.##..####.############.#..####
..##.##..#.#.##..##..##..############.##...###.#.##..#########..#########..###################..##########.########.#.##.#########.#####....####.#####.##.########....#############.#.###.##....###.####.######..##.#.#...###.#.#############..##.#.#.####
..#.#.###..###...##...###.##...######.#.##.......##.#########.###########.###############..###.#..########.#.##.#..#.#..####..####.#.....############..##...####.##..#####.######..#####.#....#####.############.#..#####..#.#.##############.#..###..#.##
##.##.#####.##########.####..################..#....##########.########.############.###.##.####..#########.#####.###.####.#....#.###....######################...##.#####..#####.#.####.#..#..###############..##...#..####..##.#############......######
####.####...###..#.###.#.########.####..########..###...#####...#############.######.#######.###...######.#####..###.#...##.#.#.#.##..###############.###.#.######....###...#######.####.##....#######.####.######.....######.###############..###.#.#####
##...####..####..######..#..###.#...#.#.#########..#...#.##.###.##############.###.######.#.##..#.#######..###.##..###..#######...###.######.###############.#...###.######.####.....####.####.######.#..###...#......#.#######.#############..###...#####
#.##.#####.#.#.#####....###.##...############..###..##..#..####..##############.#.###########....#######..####.....###..######.##.#####..#.################.###.############..#......###.#.#....#..#...##.##.###..#..#.##.######.##################.######
##...#######.###.###...##..#.#.###############.####...#..#......#####.##########..########.#.#.#########...#####..###..###########..####.##.##############..#####.########.####...#..###...#..##.#####..#########.......##.######...####..#####.##.#####..
#.#######.###.#.#######.##...#.######.############..#####.#.#.####...############...######..#.#####.#..####.##.#...###.#.########.#####.####.######.#.#...#.############.######...###.######.##.######.#.########..####.#####..###..############.###.#.##.
.#.####..#....########.##.###.#.##.#...#..#.###.###.###########.#..#..#############..#.#####.##########....##.#####...##.#.###.....#.#.#####...#######.#...#####################..##...####..#..#########.######...####..######.#.#########....####...####
#..########..###########...###...########.....####.##..#######...#######.#.#...#..#....#######.#.#######..#...####..#####...################..#####.#.#.#.##############.#.###..###.#..#####...###########.###.##.#...##.########.##########..###.##.###..
.#########..#.###########.....###########....#.##############..#..#####..#####..##.#.#.#########.##..##.##.####..#.##.#########.#####..####.#.#####....##.##############..#####.##..###.###.#...######...#..#.###########...##############...##...#..#.#.#
.##########..###########.###.##.####.####.#...##....############..###.#.#.######....##.#.######...###.##.#..#######.#.#################.#####.####.#..##.#############...##.##...#########.#.#####.#.####.##..#####.#####..######.#####.#.###..#.##.#..###
##########..###########..#######.###.#.#.#..###.#.####....###.###############.#....####.##.###...##..###.#..#######..########.########.#####..###.###.##..###########.#...####...########.#.....###.##...#.#.####################.###.#######..###..###.##
.###################.##.#..####.####..####..####..#####...###.####..########.#.#...#####.##.##..###.#.#.###.....###.#################.#######.###..####....#..##########.....#...#######.##..#.####.#.#######################.###.#.####.##....##....###.#
#############.######..#..#..######.#.#####..#.#.########.###############.######.#..######.#....####..###..##......#.####.#...#####...#######.....####.#...###.######.#..##.#.####.#######...###...#.####....###########.####.#######.##.#.###.######..##.#
###########.###.####.####....#.##..#..#####.#....##.#########.#####.#######.###.....########.#.#.########.#.##....####....######..##.##.#..####.##...###.###...#########.##...####.#.##...#####.#....###....###########..#.###..#.#.###.##.#...####.#.#...
##########..#####.#.##.#..##.###..###########.#..#.####.##.#.##############..#.#.##..##....##.##########..#####.####.#..#...##....###....#.#..#####.#.##..##.#.########.#######.########..########...###.######.########.####.##.....######.#########.##.#
##.######...#..#####.###.###..####.#...#.###.###.#.##.#.#####....#.########.###########.###....#########..###.####.###..#.#####..#...##.#.#....###..#......##....#########..#####################.####.#...#############.....#...#...###..##.#.###########
##.##.#.#...########.#############..#####.##..##.#.#..######.#...#######.##.############.#.###..#######...#.#.##.##.####..#####..#.###.#.##.#.#.####....#.####.#.#####.###.#.###..#.#...###########..###...############..#####...#....#####.#.##.########.
#.##..###..#.#########...########..####.####.###..#...#.#####..###.#####.#####.######.####.##..#########.##..######.##..#..######.##....#####.#....#.#.....##....#####....#..#..#####.##########.#...##....##########...####...####.####.#####.#.########.
.#...###.###.######.##.##.#####.##.######.###.####....######..#.###.####.#...############..##.############.#######.#..##..#.#.########.########..##.####........#########..###..#######..########..###..########..###.##..###.#.##..#.#####..#.####.######
.##.#.#.##.#######..##..#.#####...#.#.###.#..###.#.#....#################.#..###########.##.#.##.#.####....###.#####..##.#.#.#.#...##########.########..###..#.############.#.###.#.#######.#.##.#.#.#.#.#########..#...#..#.########..####.#######.######
##...#.....############..#.########.#####.#.#########.##################.#.######..#######...###..#######.###.#.####..###.#..#.#..######.##########.##.##...####.########.##.#.#####.####...######...##.#.##...#.#..####.##..#####.###.##.###.##....##.##.
#.#.#..####..##...###..#..######....##.#####.#.##.##.##########..#############.##########...#...################.##.####.##.##.##################.#.######.######.####....##.#############.######..#.##..#.####.#.#####.###...###.##.#.#####....#######.##
..######....####..##.####.###.##.....####....#.###...########.##.#############.###.#####....#.#######.##########..#.#.##...#.#.###################.############..##..#.#.######.#############...#.####.##.#.#.####.####.#.########.#.#..##.##....#######..
.########....##...##..######.##..###..#.##.##.###.##.##################.##..###...#######...#.#######.#.#.######..###..####..######################.######...#.#.##..#.####.#...###############....#..#..#..##.################.####.##.######.###.##.#.#.
#####.#####..#.#####..####.#..##.#########.#####.###############.#####################...#....#..##..##########....#....##.#.########################.####...######..##.##.###...#####.###.####....#..##..##..####################..#.###..#..##.##.##....
################.##.##.########.###...###.########.##########..###.######.###########...####.#.#.###################..####..#########...###################..####.##....#.####...#########.####...#..#.##.#####.#.######.#######.###.####.##.#..######..##
########.#######...##.##.##########.#.#####.##########.######.####.###############..#..#.####..#...##########.#.#.#.#..#.##################.###########.####..#####..##..#####...#.#.####.########......#.########.#####.#######..#####..#......###.##..#.
########.#..#####....####..#######...##...#############.####....#.###############......#####...#...####.##.##...###....#..##############.#......####..###.#########.##########..#...############.####.##..#######################.####.#.##.#.#.#####.####
.######.##.###...#..##.########.#.##.#.#######.#.########.##.##############..##...#...#######....###.##..#######.##..##.#.##############..#....##.#...##..########.#####.####.###..####..##.####.#.#####..########..#############.####..##.###.######.#.#.
.#.#.####...####..#.#######.######.####.#.##.###.#######...#########.###########..#########.#.#.#######.########.#..###.#..#.#####.#########.....##...###.############.##########.#######..#####..############.##.###############.#..###.#.#########.#####
..#.##..###.####..#####..####.#..#.#..##.....####.#########.#######..###.######.#.####################.###.#######...###.#.#########..##.##....##.##.##.....#.#.#.#####.#####.#####.#####.###..#.#################.####.##..#############..####.####..#.##
..#.##...#..##.#.#..#.##.#.......#######.##...#.#.#####.#.###..#####.###..#.###.################.#####....########..#....#.####.##.#.####.##.###.###.###..#..#.#####.########.##.#...########..#.###############.#.####..#..###############.....###.#...#.
##...###.##..#.#.#..###.#..#..#..#.###.####.#############...##############..###################..####..############...############.###################....#####.#####.###.##...##.#.#####..##.##..#..#######.###..#......###..#.####.###.#.##.....##.#####
.#..##..######..###.#.#.########.#..#######.#####.#.###.##.....###########..#.##..############.#..#########..###.....######.#...#..##################.#######...#..#.....###...############...######..##...#########..##..#...###..###########.#.##.######
#####....####...#.##..#..######.##.####..##.#.#..##########..#.#####.###.#...##.##.#############.##.#.##########.#...#####.#..##...###.#######.######.###.##.##.###.###..##.#.#..##.#####.########.....####.#######...##.#.#####.#.###########..#...######
..###...#.##..#..#######..#######..#####.#.####.#.####.##############.#.#..########.##########..####..#########...##.#..#.#..#################.################.#.###.##..###.#####...###.#.#.####..##.#.#.....####....#####.#####.############.##..######
.##########.##.######..#..#.##############.####.#.##.#..#....#########.#..##.#.#.###.#..######.##..#.###########.##.#.#.#######.##.####.######.######..###.###.###.#####.###########..##...####.####...#.....#.###.#..###.#####.#.##############.##.######
.############.###.###....##.####...##..##########..#...################.#..####.#####.#######.####..#.###.##..#.###...#########..##.###..############..#.##########..#.#.##########.....#####..#####...##....##...#...##..#..############..#.######..##.#.
.####..##########.##.####..#.#.###.#..#..#######.#.##.######.#########.##.#.#########.###.######.##.####.###########.########..###.#####.############.#.#############.#..########..#.########..####...####.##..#......##....###############.##########....
##.##..#########.####.###....##.##.......######...#..#####################..#.###.#.######.#####...#####..#####################...#############.##.###################.#.###########.#.#.###.####....###.#####..#.##.#....#..##############.####..###.###.
#######.########..#..#.#..###.##..#.##.######..........#################..###.##.###.######.####...#.##.#..####..#..######..#.#......#########.##.##.##.#######.####...#..#####..#.##.#..#..#.##.#####.#######...##.##.################..##############.##
######.########..###.##..####.#.#.#.#.#.#.##.####......#.##############..###.###.#########....#.###...##...######..#####.##.#.#..##..#########...#...#.#######.#######.#..#.##....##.##.##..####.##.####..######.#.#..#.####...#..##.############....##.##
#####...#######.##.#.###.#####..#.##.#....#..######.###....##########.########.#...########.##..######..#.########.#########....#.#####...####....#......#################.#...######.##.###.####...##.##########..#..##.#..######.#.########.####...#####
.####.#####.####.##..###.###.#...##..#####.#####..#.#.##.#.#######.####.########...#########..########...########.#######..#########...##...####.....##..##############..#....#####.##.##.##.####..##...#########....##.#.#..####.#.#..##########.########
########.##...#####..#########...##.###########.####.#.#.#...#.################...##########.#########...#########.#.####.########..##.#...#####....########...########......#######..#.#.##.####..#.#.#####...#..######...#####.################.##.#####
.##.####.#..##..##..#########.#.###.##.##.#############...#..###.#..#.#.########.#########..#######..#############.##########.#######..#.####.#.....#####...#..#######..##....########.######.#.###..#...#....###.#..#.#..#..######.###.########..#.#...##
##.####.##.#.#####..#...#.#######.###...######..#.###.##.##..##..#.#####.###..##..#####.#....#####..##########..######..#######..#.##..####..####....#########..#####..######.#####.#.#####.###.###.....##..#####...#..#.#.####.######....#.####..#.#..##.
#.#######.##..###..#...#############.#..###############..#...###.##.######....#.#.##....##..########.################.#.#######.######.###..###..#..#######.##...##.##..#..#...####..#..####.#..######.###...######.#.##...##......##.####.#####.####.....
##########.########.#.########.#####..###########.####.#.##########.####.#.####.###..####...##.###.#..##########.####..##############.###.###.##.#.##.####..#.....##..#.###.###..###.######.############..##.#.#.###.#.#..##.########.#.##..#####..####.#.
#############..###.#.#####.##...######..##############.#.########.####.####....###....###...#####.###.################.##########.####..###...#.#.##.#.#.###.##........#.....#######..#.##########.#####.#####..####..##########.####.##..#######..#######
#.#####.#.########.############.######.################....######..########..#.##.#.#..#..#######..#..#############.##...####.###..##.#.###.##......###.####.##.#..#####.#########..#################.#####.##.#.###..#####..##..##.....###.###.#########.
...##..##.#..#.###..#########..#.######....#########..#.##.#..###.#############.#.###.....#########...#########.########..####.#...#....#.##.#...#########.####.#########.########.############.####.#.#.####.####.####.#...####.#.##.#.##..##.....#.#####
.###.##....###.###...##########.########..##########.##.##.#.#.###.####...#.#########.##....########..##########.####.###########.##......###..##.#####.#########.####...#.#.#################...##.#########.#######...###############...#..##..#..######
..#####..##########.#.########...############################.#.#####...#....#.######.#.#...####################.#########.########.#.##.####.....######..###########..#..#####.##.##############..###....##.######.#...####..#####.#####.####..#...####..
###..##.#..#####.###.##########..#####...##############.####.##..#.#...#....###...####..###.##.#######.##########..#######.#####.#.#####.##.#.#...#####...###########.###...####...##############..#####..#...###############..##..####.###...#.#..#.#..##
###....###.#####.###.#################...#.###.#####.#.#..#####.#...#..###.#####.##.##....####...#####..###########.#.########.##.######.######...#######.#.#########.####.########.##..#..#########.#####.#########.#######....#############.######....#.
##.#..####.#########.############.###..#...###.....####..#.###.##..#.#...#######....######.#.##..####.##.######....#.#########..########.#.#####.#.#.#..#..#.########..###.######...#..#....############...##########.#.###....########.#.##...##...######
##..#..#.#######..##.#.#####....#####.#.#....#..#...#.##.#..###..#.#.#.......#####..#.####.#.##.######...#####.##.#####.#######...###############.#....######.#####..#...#########.#.####.#.#####.##.#####.##...#.####..##..#.###################..#.###.#
#...#.#.##########.#.##.##.#.#####.###.....##.#..#.#.#..#.....#..#.#####.#..#########.#.####.###########.#######.#..##.###..#.....################.###.##.###...####.#..##.##########.###.#######.#.##...#.#.###.#####.#####...##########.##.#.#.###..#..#
#################.##########.##.##.###.....###.#..####.#..##..###.####..#.#..###.###..#########.####..####...#########.##.######..#.###########..#############.####...#.#...########.#..##.##########.#..####.########.###...##..#######.###.##.#..####...
##.##########.####.##...####...####.###.#...#.#.######.####...#.##########..########.####.######.##..####.#.#....#.##.####.##...###.#.#######..#.#####..####.#######..#....###########.########..####..#.#.######.##.#####.####.###########.#.#......#.##.
############.#.######..#####.######..###.##.#....###########..###########################...##..#.#...###########.########......###.#..######..##########..#######...##.#.########.###...#..###.####..###.##.######.#######.#####..#####.####.###.##.##.##
#############...######...#.########.#####.###.#...########.##..###################.######...###...##.##.#####.##.########....#.#.##.##.####.#..##.##.###....###.#..###..########.######....########..##.###########.###.##############......#.#.....#.##.#
###############.##..###.#.#.#.###########..##.#....#####.##.##.####################.########..##...#.########.#...######...#...#.#...######.#.#####.###.#..##.##...##..###.#######################.##...#......#####.#.#...##########...#######.....#..###
##.########...#.....#...###..#######.######.##.#..#######.####.######.####################..####..#.#..#########.#..####..#######...#.##.#.#..#...#####.#.###.#.##.#..##...########.#..#.#########.##.##...#.#..##..#.#.#############...###.###....#.###.#
#########.#...#############...#######.######.#.#####..##...######################.##############.####..#...####...#..####..###########..###.##.##########..#########.########.####...###.######.##.##.##.#..#.###.####.####..#########.########.###.#.#.#.
###########...#..#.#.######..#######.#######..##..##..#......######...#############.##################.#.###.#.##########.####.########.######.#.######.#.####..##.....####...######........#####.#.#####.#.############.###.#################....#..##.##
#######......##.###.###.###....######..######..###.#...#......####...############...########.###########.####.#.#########..#########.#..########..#####...###..#..#...##.....#.#######.##########.#####.####.#.#.####.##.......#####...#####.##.##.###.#..
#####....###.#.###.#..##.###.#####..#.#.##...#######.######..####...##############...######.#.#..############..##..######.############.#.##.#.##.##.##########..#.....##.#..#..######.###########...#####.##..#.###..##.##...########..#####.###..###.##.#
#######...##...#.....#.#.###.#.###.##..##..#.######..####.######..##.#####.###...##.#.########.#######.###############.####.########.###.#.######.####..########.###....#....#######..#########..#########...####.##.#####..#######...######..###..##.##.#
######.####...#.####.#####..#...###.....##.##.#.########.#####.##.#.##.###..###.#####.##.#...#####.###############.####.#############..########.#.#.#.#..##########.##..####.###.##...#########...#..######.#####.#..#..##.#####.###.############.##.###.#
######..#####..####..######..##.######.#######..#######...###.#.##...####.##..#####...#######.#######.#####.###########.#######..##################.##.#..#####.####..##...#######.#..###########...###.###..##.#.##################.#.#.##.#####.#.#####.
##.#.####.#.##.####.###...#.#....###.########.###.######.########.######...#.#..#......###...#.###############.#####.#.#.#####...###...###.##############.#####.###.##.....#######..#####.#####......###..###.#######...####.#######....##.########..#.#.#
#####.#####......######..#.##.##.##.#.######..#.###.#.##.#.######..#.####...###..#.##..##.....########.######.#######..##..###.....#...#####...########..##.###.###.##....##..###.####.##.##..##.##..##############..##.#.#.#.######.#.###.#..#..#.#..####
.##########..#.#.#############..#.###########.##..#.##########..#.#.#########....##...#..#...########.######..############....########..#.####.############.##.##.##.###.###.##..#...###..##.#.#.##.##.############..#.###..#.#####..#######.###...#...###
##################.########..##..#####.##.#....######.##.#####......#####.#####.####.#####....###############################.#..######...#.#..#########.#.#.##..#.#.#######.##.#.#.###..#..#..#####..##############..#..########...######..#####.##.#####
############.###.#.#############.##.#####.#.#.###..###..##########..#####..##...#.#.#######..#######.########.#..######..##.############...#####.######..#.......###.#.#.#######...###.####..#####.###.###########.##..#.#######...#######.########...#.##
.##########.#######..######.##.#....####..#..##...###.#...##.###...#...##.####.#########..####.####.##....###...##.#####..####.##########....#.#######..#...####.####.#..#####..####...##########..#..##.#####.#..###...##########..######..#########.#.##
..##########....###.#.########.#.##...##..#.......###########.#..##.##...##.#.#######...####.##.##.#.#.###..###.#..###.##......#########.#.##...#######.######...#.####.#..##.##....##.###########.###...#.####..##...##.######...#####.##.###########..##
.#####...#..#..#####..######..##......####....###..#.##..#########.#..#.#.#####..#########.##.#.#####.###.#######..#..######.##...#######..###.#######...###...#####..#########.######.###########..#.##..######.##############.#.#####.###.#############.
####..###....##..######.######.......#.#..#.#####.###.###.##...#####..###.####################.#######...##.########..##.###.##.############.###.####.#.####..#######.#.######...#######.......####..##...###.##########....####.####.#.....##########...#
#######..#.###..#.####...########......###..###.#....#######.########....#######.#########.#...########.#...#######.########..#.#############.#.##########.####..####.##..#.#.##.#####.###....##..####...####.##.#######.#####.###...#...###.########.###.
#############.##.###.#.############.######.##.##.#....############.####..#..########.#####....#######.#####.###############.#...#.####################.########...####..#.#.#.#.######.######...##.####.#####.###########.##.#######.##..##..########..#.#
#########...#####.#....####...####################.###.###...#########....#.#############.#######..#####.##################....###############.####..#..#######.##..#.#.###.#..#.#####.#..##.#.##.###################.#..##########.#...##############.#.#
######.###..#######...#######..############.#.####..#.###..#..##########.....########.#....#.#....#####....########.#####..##..################.###....#..##...##..###..####....#####....#.##.###.#..###################..#.############.####.####.##...##
###.#..###.#########.##.###..###########...###.#####.##..####.####..#.#############.#.#.#.##...#..######...#..##.####.###..#...#..############.#.########.#..#.####.#######.#.#######..###....#########################.#....###.####.#.##.#..############
#.###.##########.######.#.####.##.######..#.#..###..#.....####.####.#...##.########.####.##...#.##.#######.###.#########...##.....########.#.#.#..########.#.......#..##.#..#########.####..#.#.################.#.#####..##...#####.####.################
..###.#..#####.#.########.############.##.###....##.##....###..###..#####...########..##..##...#...#####..#.#..#..#####.########...########......#.######.##.##.#...##.##.#.########..##.#.#...###....############.########################..#####.###.###
..##..#.######.###############..#####.####.....#####.##.....#..#####.##..##.#####.#######..############.#..#....#.#####...####.##..#######.#....##.#.##..#######..#.#####..#########.##.....#.####.###.#######.##################..#########.#.##....#.##.
....##.######.########..#######..####.###.##..#####.###.##..#...##.#..#.#.#.######.######...###..#.####.....######.#.##..##.##...#..########..###...##.####.#.###..#########.######...#...##..####.##.#.#.###..###############...######...#########.#...##
.#.##.#####.##..#######.#####......#..#..###.#####.####.######.##.##.#.##..#.###...##.#..#..##.###.######..#.###...#..#.#.####.#..###.######...###.##.######.#.#########.#.##.######.##.##..###.######.#..#####.########..#.#.#.#.#.#.....#..#############
######.####.####.##..#.######...#.###...##########.###.###...#.##.....##....##.##.#.##.#.##.#####.####..##...#..#######..#####.#####.########.###..####....###.###..######....#.#########...################.########.###.#.######.#.####.#########..#####
####.##.###..#.##..#....#####...##......###.#####.#.####..#######..#.###....####...#####...#..#..#..##.##...#.##..##....#########...#.########..##.####.#.####..#.#.#####.#.#..#..########..###########.###..########################.##..################
####.#######....#..#....#####.###.##..#.....#.####.##.##...####..#####.#..#.######..###.#..#..##.##..######.##...#.####...#####.##..#######...#.....############.##.########.#..#..##.##..#.#####..#....###..##################.#######.#..###############
######.#..###....#######.#.#.###.####.###.#..####.#.#.###..#.####.#.#...########.###.#.#.##...#.###.#.####..##..#.#..##..#######...#########.##.#...#.##############.######.##...#####.##..#.#..#..##..##.####################.######..#.#..##############
#####..#..#...#..##.##.#.#..#.#.#####.###.#.#.###.#.##.##......#.#..##.###########.##.##.#.####......##.########.#.....########################..#..#..########.###.############..##..####.###..#..#.#.###.#..################.#.##.##.#.#########.##.####
######....######..###..##....#...##...###########.###.#####.#...###.##.#..##.#######.##.##.#.######.##...##....#.#...#...###########....#####..#.#...#.######.########.######.#..##.###..##.####.##.#####.###.##.#############..##.#####.###.#####.##.#.##
#######.########.#.#..##..#.#....#.#.#####.##.#.######...##.#.#..##...#.####.#########.##...####.##.#.#.###...##..###.##.###########.#######.....#..######.###.######....#.#...#...#......#..##.#...#####...##....##########..##############.###.......##.
#####.#########.#.#.##....###..######..#....#..#.#######.#####.########.##....#####.###.#.#..#.#####..###.##...##.########.#######.##..#####........######.####.#######..##.#..#....##....#####....#.######.#.#.###.########...###########.############.#.
#####..####...#.##...#.#.#####.#..###.....#.#..#########...#.#########.####.#############.#.####..#####.###.#.###...#.###########.##..####.####.###.#########.#.##############...#.#...#..##.###..#.##.##.#..###.##.########....##########..#######.#..#..
######.####.#.#.##..#.#....###..##########.##############.###############..#....######.###########.##.#.#.#.##.###.#.##############.##..#.....#.#######...#..###########.######.###.############.###.#.########.##.##.##################..#...#########.#.
##.####.####.....##..#####.#.#..##########.##########.##.#.########.######.#.#.#######..###..#####.#..#.####..#.###.######.#.####..###.##.##.#..#######....#############.##########...#..########.#.###.####.#.#.#.#.###.##.##############.#..##.#.#######
########.####..########..#####.############..#########.##..#########..#.####...###.###.####.########.####..####.#...##########....#..####..#...#...###....##..#########.#########....###..####.##.#..#...#.##.##.###.####.#.##################..#...##.###
.#############.#.#####..#####.###.#########.#########...#########..#.#...##.################....#####.##.##..#..#...######.#.....#.##.###.#.#.....#...####.######################..#...#..#.##.#.#.##.###.##.....####..#..#.##.########.#.####.#..#....###
#############.####################.####...##########.#...####...#.#####...###############.###..##.#..#.###.#.#..##.#######.##.#################..##.##.#.##.##############..#.##.##.##########.##..#.#....#.######.####.#.###.#.#########.######.####.#.#.
.##########..##########.###############################.######.##.#.####.#..#.#########.####..##..#.#.#.##.####.###.###...######.######################..###.#######.#..##.##..###.##.###...#..#....#.##########.####.####..##.#.################.####....
.##########.#..######....####.####....###############.#.#####.....#.#######.#############...#.###..##..#######..##..#..#..#####.#.####################......####..##.##..####.##.##..######..#.##.......########..##.######...###.#####....####.##.##..##.
############.##..########.###.####...#..#####.#######..#########.#.#######..#.##########....##.###.##...######.###.###...#.#####.#.#################..####.##...###...#.#######.##..################....##.######.########...#.#.#####..#.######.....#..#.
.##############..########.########.##.#################.#.##.##...#########.#.##########.########.#...##.######......###########..#.##########.######.######.###########.#####.###.##.###.########..#....#.######..#######.##.#.##..#####..###.#####..####
#..#.###########.#####.###.#######.#.##########.#######...####..######.###..#.######################.#...#.##.#.#.#...#########..#########################.##.#.#####...#..###...#..####...###.##..#.#...########..#..####..####.##.######...#.###..##.#.#
#..###########.#.####....##.####..##.###################..#.#...###.##....#..########.##############....#.##.#..##.############.#...##...##########.##########..#########.####.####.#.....####.##.....#....#####.#..###.#.....#########..##..#....#..#####
.#..#.#..##..#...#...#...#.###.#.###.#####.##.#.#########..#.###.##.####...###.#######.#####..##########..#...#####.###########...##.##..########.##########....##..#.###..#######...#...####..#######.##...#####.#..#.##..##.#.#######..#.###.###.#######
##..#.#..##.#..###.#.....###.#..#....#####################.#########.##.......#..###...####.#..########...####.#...########..######.####.#########.##########..#######.##..####.###.#...#.#....######..##.#.#########....#####.#.#######...#...###..#####.
#.#.###########..######.######.###..#########.#.##########..###.#....###.###..#.####.##.#..##..##########.###..############..#.####..##..################.#..##.#..##.#.##############.###.#.#######.....##.#.###.....####.#############..#.#..#########.#
.####....####...##.####..########.####...############.##.#....##.........###..####.#..##.###..###..####.#..#.#...############.###########.#.#.###########....##.##..##....#...#.########.######...##.###.###########.####.######.#######.###..##..####.#..
...#.#...##..##.....######.##########.###########.###..###.#..###..####.#############.###.##..###.###...##..#..############.##########.#.####..#######.....#..####.#...#.#.#.###.##.#.#..#.####.##.#..###.#.####.#######..#####.#########.#..#########.##.
.####.##..####.##...#####..############.##.####.###.#.#############..#############.#..#.###.#.##.#..###.##...##.##.#####.###.##########..############.#..#.####..##....##.###.#.#.#.#.....##########..##########...##....########.########.#.########...#.
#....#..##.#.##....#.#.####################..#...####..###.######.#..#.##...######..#.####.##.###...#####.#####..#..####.#.....#########.#.#..###.#####..##..#####..##.#.###.####..#.#.###..######.#.#####.#####.#.##.##.#####...####.####...#############
.##..###...#.##..##.#####...###.#######.#.#####.####.##.#.#.#######...#.#..####.###.#..###..####...#.##.###.#..#.###.##..####..#########.##..##.#####.##....######..####...##..##.###...#...########..#####.###.############.#.#..##..#######.#######.###.
...#.#.###.##.######.#####....#..####.####..##.##.#.###.##.#########.#.#...###.####....##...###.####.#.##.##.#..###..###.#....#########..#....##.##...###.######....#.....####..#.##.######...#.#####.####.#...##.############...###.#.##############.##.#
#.###.###..######..##.######.#.##.#####...#..#.#.#...#.####.#########.#....###..##########.#####.####.....####.#####..###....###########.##.####.######....##.##..#...##...#.#.###..#######.###.###.######....##..#######.######.###..###.########.#######
############..#####.##.#.######.##.#.##.#######...#.######.###.###.###..##.##.##.######..#.#..#.######.#####.##########....#####...#...####...##..####...####.#.####.#...###...#############.#.##..###.#######..#.#####...#####.#####.#.#.######.##...#..#
#################..##.#########.#.##......######..#.###.#.###.#.##.##.....##....##.#####.....###########.##.###########.##..###.#.###########....######.##..##.#######.#########################.##.###############.##.##.##.#.###.###.###########..##.##.
#.###############################...#.....###.#..##.#####.####......#.....#########.###.###.#..##########..######.###.#.#.####.#.#..##########....########.###.###..##.######..#..###########.###..###########.##.###.##.####..#######..########.######.##
##########################.##..####.##.#.##.###..###########.####.#..##..###########################.##.......#######...#..####...#.######.#######.######.###.###.#########.#...#########.###..#.#.###.###.####.#.######..###.######################.###.#
############################.#######...#########.#..###.#...####..###.#.#.#########.##.##############.###.###.#.#..###..##.#####.#.#..###...#.###...####################.####.##.#...####.###......#######..##.##.##########.#.#######.#.#.###############
#######################..###.#..####..#############.#####...##.#.####...#..###########.#######.#########..##.##.###..#..##.#######....#####..#.##.##################.#.######..###...###....####..###..###.......#.#########.#.###.####.#.###..####...##..
###########################..#.#.#..#.#########.#...###.##.#####.##.#..##...#.#########.#.#..#.#########.#.#.###...###.#.#.###..#.#.#.########..#.#####.#.#.########....####..####....#..#.#......##.##.####...#.###.############.####.#.####..#.#.###..#.
..#.######.###############...##.#...#.##########..#################...#..#..############.#####.####.###..#...###.##############..########.#..#..#####..#.#####..###########.##########..####.#..###.##.#####..###.####.#####..####.####..######.##..####.#
#####.####.#############..#..#.#################.############.##....#.###.#############.......#.##.#####..##.##.#.###.#########...###.####..#######.......#.####.#########...######.#.#....########...#.#...##########.#########.##.##.###########..####.#
.####..####################.####.##.########.####.########....#.##..###.#####.########..#####.###..##..##.#####...##############.####.##.#..####.###......###.#.#########..#.####.#..#..#.######.######...###.##...###.####.##.##########.#########.###.#.
####.#...##################..###...#.##########.###########..#####...#..#..############.######.##.###########....#..############.######....#####..#.#.#..##.#.##################..#.###..#################.#...#.#####.##.....#.##.##############.#.#..###
.#......#.###############.#..#.#.#.#.########...###########.#...##.#..###....#################..##.#.######..#.#....############.######.#..#####.##.###..###.####################..########......#########################.#...####.#####.########.###.###
#.##.##.###################.#.##.#####.#######...################..#.##.###..#######...#########.###.####.#......#.#################...##.###########.####...#.#.###############.#########.##....###########.##.##.######....##############.##.##########.
#.####.########..##############.#.###.##.##.##.################...###############.###########.##.####.####......#.##################..#########.####..##.##.##.####..#.######################....##..##########...##.####..######.#..#..#...#############.
..####...#######.##########..#.#.###.####.###...#.##########################################.#.#.####.#.#####.##..##########..###########..##.###.#...###.###.########..#####.###########..##..##.###############.#.####...######.#..##...#.#.#####.####..
#.#######.#..########.##..#.##.#.#.#####....###..############################...###.#####.##########.##..###..###.#############..#..#####.#..#####...#####.##.###......#####...#############..####.#......######.#.#######.########.#....###.##########...
#.#.###..#..#.###..#######....#.##.###.##....#.##....##.#######....####.#.#..#..##...#######.#.#####...######..#################...##################.#####.##.#..#.#.#.#.#.#.....#################.#.#.#########.########..####.####...#.########.##.####
.#..###.....##..#.#####.#####.#.###.##.##....####.######.####...#..######..########.##.#.#.#######.###..####.#.#..#.###############...#..##......#####...####.##.#######.##.##..#.############.####.#.####..##.###....####.#.###.####........###.##...#..#
###.#####.....##########.#######.....#####...####.#####.#.##.....###################.####.#..####..####.###.##..#.#.#..#####.#.#####...###....#.#..######.###.######.#######......#.##.########...##.################.#####....#.#####..#....#.#..###.....
######.#..##.###.######..#.########...###.##.#####.#####...#.#..#....########.########.###..#.##.#..#####...#####.#..#..##############......#.###.########..#..#####..##.#.#####.#.#...#########..#########.##..#.######.###.####.##..##..######...####.#.
######.###.####..#####.#..#.#####.##.#####..#######...#...#.##..##...############..########..###.#######.#.#..#...#.#.###################..#..######.#######.###############..#...#..##.#.####..##########.#.#....#.#.##..###########.#...#.####.####..###
#...##.##..#####..######...#########..####.#..#.###.###...#.##.#..#.######.##..####.######..#.######.######.#.#..#..#.##############..##...##.#.##########...#####.#############...###.#############.#.#.#.####.##....####..######.#.......###...#.#####.#
...##.######.#.#.########..#########.######..#.....##.#########..#..#.#####...#####..#.##.#####.#####..######...####.###############..##.##############....##.####..#########.#####.###..#############.###.####.#...##.####.#.###..####....###..#.###..###
###....####.##.##...#.###.#########..#######.##.#..########.##.#..#.######..#...#####.####.#..######..#....#####.#..#..#################...############..#####...#######.##.#.#####..#.#...#.######...#####.##...########.########.#.#.##.#.##.....##.#.##
##.....####.###..#..#.#####.#.#######..########...#.##########..##.#.#..#..#...#.#.#..####...#######.#..##.##..##.#.#.####################..########....#.###...########..##.#..#..#.#.##..#######.#.####..#.#...###.#.##.#.#####.##...#.#.####...#.###.##
#...###########..##.##..#.##..########.#########.##.#########.#..#####...#.####.#..#..##.#.##########.####.##..#####.###.##.#############..#######.###..##.###...########.###........#..########.##.####.#.###..###.#.#..#.#..##########..#.####..#.######
##.#...#.##.......#.....##..##############.#####..###########..########.######..#.#.######.####.####....#...#.########.##############..#...#######....#..######...######..###..#.##.##.#..##.##########..##..############...##...#######...#.##.#.########
.######.#.#####..#####.##..#.#.############.####.###.####.##..#.#############..##.#####...#.#.#.#####.#...#....##..#####.######.########..#...#####.#.#.#######.#############.###########.####...##..#..#..#########.############.##########.#.#...#######
#####.....###..#..#..########.######.########.#.#.##.##.##...#.###..#.########...#.######..#.##..####.##.#.##########################.....#.###..#.##..#..#########.#..#.####.##...#.####.###...#.#.##.##..#.#.###########.##....##..#..#####..#.##.######
#####...#.###.###..#####...##.#####################.......########..#..#.####.#.#########.##....########.##.#########################.....#.###.#.#################.#...######...###.#######.#.#.#..##.#..#.....#..#####.#.####......##.######.#########.#
###.#....##...##.#.#####...###############...####..#...#.#.....####..#.#.#####.#####.########..#.##..###...#######.##########.########.#..#.#..#####..#.##.#######..###################.###.#....######..#...###########.######.#....##.#######.#.###..##.
.###..#...#.############.##.#.############.####.......#...#...####.#..#######.#######..#######..#...#..#.#.########.#########...##.#.#.#.####.#.#####.#.########.###.########################.#.###.###...##############.#.##....#....######...##.###..#..
####......##.###..###..#.####..###.##########...######.##..#.#.##.#...########.#.#####.######.####.###...#...#.##..#######.#.#...###.#..#.####...##.#....#########..###################.########.#.###..#.#.#####.#.####...########.#.########.#####.#####
.###.#######.##.#..####....###.####.##.###...############.##..#######.#####.....####...#######.##.###.#.....#.#####...###.#.##.#.#.###.##.####.##..#...########.#..#####.###.#..###....#..#.########....##.###.#..#..####..########..#############.#.#####
.#.########.##...#....#....###...#######.#################.######.###.######.#######.#.#########..####.##########.##.######.###..#####...#####.#.#.#.##########.#..######..##.#.##..#..#...####..##.#.#.####..#...#.##....##############..########...#####
.#...#####..#..#.#.##.##.#.##...####......###.#####.#..###.#.#..###.########.##.###.#..#########.#..#.####.##.#######..###.###.###.##..##...#..#.###....#######.##.#..###.#.##..##.#..##.#..###...#.#############....##.#..#.#.########..#########..######
#...####....######.#.#.#.###..######...##.#..#.##..#.#####.#...#.####.##.###..##########.#######...###.##.#.#########.##.#..####.####.##.#.############.#..###.......#.###.#.#...#..###..####.#.###...#...####.##....##.##.##.########......#####.#.##...#
#.##.#####..###..###...##.##.#.#.###.###########..##.##.###.###..####....#.#.#########..#.#######.####....###..#.#####.#####.######..##..###.#####..##....#.######....#######.#.########..####...#...###..###.##.#...#....###..########..##.###.#######..#
###.#.##.###.#######...##.....#.###.###..#.##.##.##.##..####..#####.##..###########.#..#..#####.#.#...#.#.#..####..##...#..##.######.#############.######..#..###.##.#.####.###.#######..###...##......#.##.#####.##..#...#.#..######...##############....
###....#############..###.#.###..#.#####...##.###.####..#####...#########.#########.#.#.#.####.####.##.#.#...########....###########.#.##.######.####..#....#####..##.#..###############.###.#.#..##.###.##.#######..#.#######.#####.##.#..########.#.###.
####.#######.#..########.##.#.##.########.####.#######..###########.#############.##.###.#######.#.#..#.#.#..#######.###..######..##..##########.#.###..#.#######.##.#..###############...####.#..#.###.#..########.##########.######...#.#.#.######...#..
#####.###..##.################..#########...#####.####...###.###########.#######..####.######.####.##..#####.#######.###.###..#..##############..###..##...#######.#.############.#.####.######.#.#####....#######.######.#.######.#.#.##..#..#..###.#.##.
###########.##.#.######.##########.#.###.##.#####..#######.##.####.#.#.#.######..########.######.....#######..#####.######....#..##############..###..###..#.###.#.##############..#.###.######.#.#############.#.####.#.########.#.##.####.#..##..###.##.
###.#.#####...##.#####.#.#####....#...#########..###.#####...###..#####...#######.##.#.###.##.#.####.###.##.#####.########..####.#..########.###..#.#...#...#..###..####.#.#####......#....#########.####################.#..#.##....#.######.#.##.###.###
#####.#####.....########.######.##.#####...##.###...#####.##.##.#...##.#.###########....#####....####..#..#.####...###..#....####.####...####.##.####.#...##.###....##...##########..#.##########...###########.#############..####..#.######.##########..
#....##.##.#.#.#########.#..######..#.....##.###.#.#####..#.######...#.#.#########...#########.##.###.####.####.#..###..##########..#.##..####.#.##..#..########.####....###.####.#..#...####....####.....###############..###.####.#..########.##########
#..######..#.#.###..#####..######...##.##.#..#######.###.#######.#####...#######.#.#######.###..###.###...#.###.#..##........#.#..###....###....#.#####..#..#########.#..##..####..########.#.##.##.##.#################..##.###.##..#.######..#.##.######
.#.######..##..###..####.#..#######.....##..##.####.###..#######.#####...#######.#.#####.#####..###.##.#.###......#######..##.##..##..###..##....#..############..###.#......####.##.##.###.#..#.#.#.#.####.#####..#.###.#.#....##.##.#############.#.####
...######......##..####.#..#########..###.##....###.#.##.##############.#.########.###.#######.#.##.#..#.#.###...#.##..######.#.#####..###.#..##..#.#.#..########.#####...####....##.#.###.#.#..###.###.....##.#.#.####.##....###...#####.#########.#.####
..#.####.#.#..####..####.#..########.########.##.....##..#########.###.#..#######.#.#########...###########...#####......#######..#.##.###.####.#...####.####.########...#....#...####.####.#.#.##..#####...####.....#.###.###.#..###.#####.########..####
.#...####.###..#..#######...######...#.#....#####.##.##.######.....######.#.################.##.######.#####.###.#..#...####...#####..###.#.####.#....#.###.###.######.########..#..#.#.#####.#############.####...##.##.#.######.########.#######.#.#####
.###.###.#.#..###...##############.#...###.##.###..#####.###############..#..#...##.########...#######.#######.#..#.###.########.####..####.###.####.##.###.#.#.###########..###.##.##...###..###.##############.###.#.######..##..#####.#..#######.#####.
#####.########.#.#..###.#..#.##..#..###...##..###.##.##..###.###.#########.#####.##.#####.##..#######.#####..###...###.#.#############.#.################.#...#############.#.#....##########.########...#.##...##...#.####.##..##.#####..#######..#...##.
######....#####...#########.....###..#.###.#.#.###..#.#..#.###.#########.###.####..#...##..##########..####.###...##.#.############.....#.#######..#######...#######.##.......#..#..##########.#####.#.##.####..##..####.###...#########.#.####.##########
########.######...#.###.##.##...########..#..#...###.####...##...######.######.#...#..#.###.########.#########.#######..####.#####..#########.#########..########.####.#.##...#..######.#####.#########.#...#.#..##.###.##...#..####.######.##############
####.##..#####....####.##.#.############.####...#.####.####.####.#.###...##..######.###..#..######.##########..###..#####.#######...#####.#.##....######..#.####..##.#...###.################.#######.##.#...#.#..##.#########.#.##.####..#..######.#####.
#.#..#...###..#####.##.#.############.##.#####.###..#.###..#.##################.##.###.####.############.#####..######..##.######....#####.###..#.######..#####...#####.####..#.############.###..#####.....#..###...####.####..###.####.####.############
.#.##.#.##.#...##.#.###.....############.#####..#############.##..##.########.###.##...#...##.######.#.####....########..#########.#.####.#####.#.#..####.##.....#########.#...#############..#.#########.#.#...#.#####.######..#######.############.####.
...###.#.###......####.##.##.##########..####.##.##.#########.#####..##.######..#.#..##..####.######.#.####.#..#################.#..#####.###..###.#...###.##..##.#.###..##....#.####.#######.##################.#####.....#################.#.######.####
.##..#.######.#..#####..##.##.########...#######..###.############..#.##.#########...###.##.##.#####..#.####..##.##..##############.##..#...#.######..#..#####..#..#.##.#.#....##..############..#######.#..#.#.#####...########..##########..########.###
#...####..###############.#.#####.####.#####.....####..##################..##############..###.##.#..#.########..####.############.#######.########...############..#.###..#.#.#.#.############..#..######.#.##..########..#####..#########.###.######..##
..#..###################.###.#.#...###.#.########.##.#.#############....#.###########.#..##.#.##.###...#..#########################.#..#.########..#..###..######.#######..#....###########.#########.##..#..##########.######....##########.#.########.#.
###..###.############..#.######..#.############...######.#..########.....##########........########.#..#.#..##..#..##..#..#.####.###.##.##.####.###....####...#####.##.####.#.####..###.###.#.#..##.###..#....#.#.#..#.##.####.....#########...#..#.##....
###..##..###############.#.###.##.###############.####.#.#.#.##.###....#..#.#.####.##.#.###.######.###.#.###.##...#..#...#.###.#..##..#.#.#.###.....#####..##.############.#.#.########..##.###..##..####..##.####...#.#...#...#.#..########...#.#..##...#
####..#......#######.#.......#.###########.#####.##.##.#.#.########.#.#.#...#.##.#.###....####....#.###.#.#####...##..###.#.....#..#.#.###..##########.#.#....#####.##.###..###..####...##.##.##.#.#######.#.#########..###......###########.#...######.#.
#.#....#.....#.#######.#.....#..########.#######.#...#.#..###.####..####.###..####.#..###..#.#.#.#...#...#.#.######...#...#####....######.##..###########.##..######.......#.#..###...###...#....#..############.###.#.....####.######.####.#####.#..#####
#...#...####.##########..####..#########....##.#..........#.#############.#....###.#.#.###..#########..###..#######.##..##.#..#.###.#########.###.#######.#.#####.#.##..#...##...##....#.#..###..##..#########.#.####..########..#.#.#.#.#.#..######.###.#
..####....#.#.##.######.#####..#..######...#.####.####.##################...##.#.#.#..####.######..####..###########..##..##########.###.#####.#.####.###.#####..####.#.....#.##..#...#.##.##..###.#..####...####.######.##.######...##.....###.##....####
######.#...#.#.#.##.########.#.#..#.#.####.#######..##...##.####..###.####..###########.##.#####...####...##.#######.###.##.#.#.###########.##...#####.#.#.##########.#.#..#.#...#.#####.####..#.##############..#######.#######.#..###.......##.##..#####
...#########..#..#.#.#########.##..##.##.#..######.....##....######.#####.###.###.####.###...###.##.#####.##..###..##...#####.#..###########.#.#########.#########.######.###...#####.#..#####..####.#####..####.#####....##.####.####.....#.####....#.###
#.##.####.##.#..##.#..#########.##.#########..##.##.####.####.##.##########....#######.####.#.###....###...#.....#.#.#....##..#.##########.##.#.#######..#################.##.#.################....#...#.#..###.########..#####.##.###.#.########.#.#.###
###..#..#..#.###.#.##.####..#####.############....##.#########...##########......#####.#####..#.....#.#.##..##.....##....#..#############.####.#..##.###########.#.#.###.###...#..#####.######...#..##.#..#....#...##.#...########...#####################
..######....#####..#..###...###.#########.#.....#..#########.#.#.###########....#####.#.#####..####..#.##.###....#####.##..#..###.#.#####.###.##################.##..####.#.....#.#####.#####..#...##.#.#.###.###.#..##.##..#####.#..#.#.#################
...##.#.##.#########....#..##.##.##.###...#.#.###.#.#..######.########.#####.....####.#..######....#...####.#.#..#.#####..##.#####.#...###..#.#...##############.####...##.##.####.##########.#....#..########.....##..#...######.#.##.####.....#.###.####
.####.#.#..#.#######..##......#.#..#..##.##.####.####.######..#######.##########.######.######.###.#######.###.##.#####.##..#######..########..################..#######..##.#..#...###..###..#.###..######.#######.#.#..###########..#..##.#..##.###.####
..#.#....####..#####.#......#.##.###.##..##..#.##.####.##..##########################..##.###.##############..#.########.##...####.....#.#.###.#.##.#.###..#######################.#..#.#.#.#####..#..######.#..######.#.#############....#.##..##########
.######..####.##..#..#.###....#.#######.#.#.##########.###.###.#####.#..##############.#########.##########.####.#..#####.#.#######.#..#..#.#.#####.#..#..#..#############...#######.#.###.##.........####.##..#.###..#.##..#.#####..#########..#####.####
##.#.#.#.####...#.#.....###......#######.##.#...#.####.###.#########..#.########...#.#.##.###.##.##########..###.####.###.#......####....#.#...######....#..###########################.######...##...####.###.###.###.###.#...####.....#.##.######..#####
..#.#...#####.#..###########..#.#######.##..##.#..####...#.###########....#.#####.####.....##.#############..####...##.####..#..#.##.#.##.###.#########..#.######.#####.####..#.#.##.#.###.########..##.##.#.#....#.###########.####.....##.#######.#.####
.#...##.####.#.#.##.#####.#..##...######.###.#########....##########..#.#.#.###.#.#####.##..#...##.####.##.#.#...#.##..#######.#.##.#..##.####..#######..##..##..#######....#####.####..############.#.####...#.#..###.########..#.##.#.##.##..###########
...####...#####..##########.#.......#########.##.#######..###.#######.#..##..###.#.#####.###.###.#####.##..######.###.###.###.#...##..##...#####.#####....###.#..#######.#.....##.####..############..##....##...###.##.#..####..########.#..##.###.#.####
#.....#.##..#.###...###.#.####.#.####.#...##.#.#.####.#.####.#####.#.######..#.#.#.###.#.#.##.#.#.###...#..####.#####.####.#####..######.#####.######..#..####....#.##...#......#.####.#.#.############....###.###.#.#.##########....####.#.##.###########
#.#.##..##.##..##..#....###.#.##########....####.####.############.###.####..#..###.##..######.#######.#..#####..###..#####.####..##.#.####.#...#.##..##.#.####.###...##.#...#.#########..######..####.#.#.###..#..#...#.#.######.#..#########.#.#.######.
###..##.#..##.##.....##.#######.###.##.##..#..##.####.##.#....####..##.####.#.#########...##########...#########.####..###.######...####....#.#..##.############..#####..#......############....####.#.###########....#.##..########...#....#.#.#.####...#
####.#.##...#######...##########.#.###.##.####..###.#.###.#.#.####.##########...######..#.#############.########.###.##.###.###.#..##..#.#..#...###.########################.############.###.#.###.#.######.######........###.####...#.#.##.#.########.##
####.########.###...#....#.#####.#.#..##.#.#.#.##.#.###..#...#####..#...######..##########.#######.##...#.#..#..####...#######.#.#..#.........#...#.#.#####################.#.#########..#.##.########.#####.#######.###..#.#.####.###...#..###########...
##...#####...###.#.#######.#####.#.###...####.#.#.#.###.####..####.###.#####...########.#####.###.#.#.#...####...#..######.####.#.#.##..#...#.#######.#######################.###.########.#..####.####..##.#..####.#####.##########.###..#.####.#########
###.#....###..#.#.####.#....#..####.##...###..####.#.##..#...########....######..###.###.#.#.###...#..#...##.....#.###.####.#####..#....#.#.#.#.#..##########...##..#..######.#####..##.###.#..#######.##.#.######..#####.#...######.###.##.#.#..#########

13 289 296 2 1
#.##...#.#.###...#..##..#.##..#.##.###..#.####.#.#...#.......#..#.##.##.##..##...#..###.#.####...#.#.##.....###.#...#.#....#.##......#####.#...#.#.#...##..#..##..##.#.##.#..####..#.....#...#.#.....###...#####..###..##...#.#....#.#.###..#...######.##.#..#.#.#####......#..####..##.###.#.###
.##..##..#.#..##..#.####...##.#..###...##...###.#..#......##.#...#####.#......##....#...######..#.##...###..##...#....#.##.#.#..####......#.###.#...#..##...##.#......#.##.###.####..###..######.##.#.######.#....##.###....##..###....#...##.###.####...###..#..######..##.#...##...####.......#
.##.##.#.#..##.#..#......##.##.#.###..##.#...#.##..###..##.#.##..#..#..#..#.#...#####....#.......#.#....#..###.##.##.##..##...#..#...#.##.#.##.#...##..#####..##.##..##.####..###.#.##.####.####......#.####.###..###.###.#.##.#####...#..#.##..#..###..###.######..##..#.##.######.......#.#..#.
##..#...#....#####.##.#.#.###.#..##.##.##..###....##.##...#####.......#..#.#......##.##.##....##..##.##..###.....#.#.#......#.###.#...#.##...##.#.###.#..##..###..#.#.#...##...##..#.....###..#....#####...##.#.#.#...###.#..####.####.##..###.#.##...##.#.#...###.##.###.###.#.##..##.##..####.#
#.##.##.#.#....#...###.#.#.#.##.#########..##..###..##.##.####.#.##......#.#.......#.....#.#.###.#..#.#.##..#..#.#..#####.##..###.##...####.#.##..##...#...#########...#.##..####..#####........#......##....##..####..#####.#.##.....#########..####......#.##..#.#.#..#.##..#...###.####..##...
...#.#.#.##.##.####.#.....##...####.#####.....###..##.###.#..##..#.#..#.####.#...##.#....#.#######.#.##.#...#.#.##..##..###..#..###.#.##.#.####.##.#..########....#.#####.##..###....##...#...###.##.#..##..#..#.##......####.##.....#..###.#....#...##..#...###..#.###...##........#.#######....
###..#####.....###.#....#.##....#..######.##.#####..#......#.##.#.#.#.....#.#..##..##...#########.##....###...#.##..###...#..#..########...##.###......#.###.####.##...#.#..##.#.#.#.##.#.###..#.##..####.#..######...###.#...#..##.#..#..####...##.#.#.#.####.#...###....#..#.##..##..#.##......
#...#####.#.#.###....##...##...#.####.#.#..#####.##.##.#.######.......#...####.#.#..##..#.#.#.....###...#.##.#..#..#.###.#..##.#.####.#..##.##.###..###.#####..##...#...#.#.#..##.##.#.....##.#...#..#..##....#...####.###..##..###.##.#...#..###.#.....##.##.#######.#.##..#.#...#.#.#..##...###
##.#########.#...#...#.#.##.###..#..#.###..####.#.#.##.#..##.##.#.#.###...###...#..###...#..############.#.###..###..###...######.#.....#.#####.###.#..####.#....#..#..#.###.#.#....##..##.#..###..##.####...#....#######.##.#...##.#.#.#...###..##..#...##...##.....####.##.##.##.#.##....#..##.
...#..#....#..##.........#......##..####..##....##.####.#...#..##.###.#.#.......#####....#..#....###.##.....#.##...######.##..###.......#.##..##.......###.#...#...##...#.......#...##.#.#.....#.##.#....###.###..#...#.#..#....#....#.#.#...#.#...###..#.#.###..#.#.#.###...##.####...###...####
.#...#...##..##.....##...###..#.#..####.#..#.#.###.#...#....##.##..##...#..#.#.##.#..##.##.##.##..#.###..#........#....##.#..##.##.###..##....#...##########.##.#.###..##.######..#.#...#.#..#...####...####.#..#......##.#.#.#.#.#####.....######.....###....###..#.#.###.##.#.#...###..####..#.
..####....####.#....######.#...####.#..######....#.....#..###..#.####.##...###...##..#.##....#.##.#...#.#..#.#..#.##.#..##.##....##..#..#.#.#.##.#####.#.##..##.#..#.#..#....#..##...#..##..###.##...##.####..##..####..#..##...##.##..#..#....#.###..#.#...####..#####...#..#.#..#.#..###......#
##.#..#..##.......#.#..##..#####.#.......#..##...#.###.##...###..######.....###.#..#.###..##..#.#.#####.##...#.##...#.....###.#.#.#..######.#..#.#..#.#...#....#.##.#...######.##.#....##.#.#...##..##.#...#...##.....#...#..###.##..###.###..###..#.#.#....###..##.##..##...##..#..#.####.#.###.
.#.##..#.#.#..####....#.##.##....#.###.#.#..###.##.#..##...#...##.##.####.......##.#.#...#.###....###.##.###.#.###.###..#....#######..#.#####.###.##.####..##.#....#..####.#.#..#....##.#.###.##.##..##.#.#.#.#.#####..#..#########..###.#.##.####...#..##.#.###..#.####....#.#.#..####.#.#..#...
#..#..#.#.####...#..###...##....##...###....#..##.##...#.#.##...##.##.###....#...##...##.#...#...#..##..##.#..#.#...###.#.###.#....#.#####.######...#...#.#.###...#####...#.###.####.##..##....#.###.###...#####..##.#.#.####..........####.##.#####.#.##...#.##..#.####.#.#.#..#.#.###..#..#..##
#...#.....##.##..##.#.#####...#.####.##..#..####..#####...##..##....##.###...###.###..##..#.#..#.#####.##..#.....###..#..#..#.#..##.#####......#.##..#.#.##..#.#.#.#.....#.##..#####...##.#...#.#.##...#.###.....##..#.#.........#....#######.####.#.#.###.###.#...###..#.#.##.####..###.#..##..#
##....##..#.....##.####.##.#####.#....#.##.###.#.#..###.#...##.############..##..#..#....#####.##.....##.#..##.####...#.#.###.#.####.#.#...##...####.##.##.#..#...#.#....##.#..#.##....#.#.###..#..#.#...####.##.#.#.#..#.#.##....##..#.#.##...#.......##..####..#....###...##.#..#.##..##.#.....
########..##.##...#.##.#..#.#...#.##..#.#.##..####.##...#.##.####..#.#..####...###.#..##....#..##.##.##.###....#...#.#.#####.##.#.#.#....#..##.#.##.##.#..####..#..##...#.####..#...#..#..###..#....#.#...##..#..##...##.##..###.#.###.#..#....#########......#.#.######...#.#.##..#.##.#.#....#.
.#...###..##.#.#.#.####.....##..####..#...#.##.#....#.##..#.#.#.######.####.###..#.#.#.##...##...#...###...#.#########..######.#...#.####..###..##.#....#..#.#..#...#.###.##......#.#..###.#######.#..##.#.#.##...#.#.#.#....##.###....#..#.######..#.#.#.##.#.###...##..##..##.#.......######.#.
...###...#.##...##..#######..#.##.###..#...#....#..####.##..##..##....#....##....##......#.#.###.#.....#..##...#######.#....#....##..#.#..####.###..#.#..#...#.##..#..#.###...#########.#...##.#...#....#.#####....###..#.#.#.#####.####..#......###.###...#..#.#.#.#....##.#.#.#.#.##....#....##
##..#..##.#.....###..##.######...##....#..##.###.##..#..####..###...#...#...#..#####.##.##.....#######.##.##..##..##...#.##.#.###...#..#.##.###...####..#####.#...##.###.#####..#....####..#.#..###.#.##..####......#.#.#.#..###...#.#..###.#..#.##..##.##..####.##.##...##.#..#.####....#.###..#
.....#..##....####...#.#.#.#...#.....##....#....####.###.#.#..##..#..#.##.##.#...#.##.#..##.#....#..#..###.###..##..##...#.##.####.####..##..#......##.###.#.#..#####...#.#####..#..##.......###.#..##.####...##.....#.##.##.#...#..#.###.......##..#.##..#..##.#.###..#.##..##.#.#.##.#####....#
..#.#.#.#.#....###.##.##..#..##..###.#.##.#.###.####.#.########.#..##.#..#.######.##...#.##...#.#......#.#.#....###.#.#....#..#.#.##.##....#..#.#.######..#..####..#..###..#....#.#..#.#.#####.#.###..#..####.#..#.#..#.#####.##....#.#..#.#.#..#..#.#.##..#.##....##...##.....#.#.#.....#.#.....
..#...#...##.######.##.#...##.####..######...###..#.....#....###.##.##.#.#.#.#.#.#....#...#..#.###.#.......###..#......###...###.#.###..#..#.#.#...#.##..###########..#.#..###.....##..#.###..#.#.#.##.####...#...#...###......#.#####.#.#...##..#..#.#.###..##...#.#.##.###..#..#####..####.#...
##..#######..#..##....#.#..###.#####.#..#...#..##..#.#..#..##....####.#..#..#.###.#.###..#..#.##....#.##..#.###..##.###.#...#...#####.###.........###.#..#......##..#..##..#....#.#.######...##..#.#######.##.###.#.##.###.###.####.###..###.####.#.##...###.####.#.##.#.##..###...##....#..###.#
.###..###...#.#.###.#..##.###.#.#..#..######.#..###.###..###.#####.....###...###..#####..#.###.#....#####.###..####.#..##.########.####.###.#..##....#.#..#...#.#..#.#.##.###....#.###..##.#.##..####.....####.##..##...#.#....###..#..##.##........####.##..##..#..#........#...##..####...###..
.##.#..#.######.#..#..##...##.#..#####.##.##.###.#####.##.#.###....#...#.....##......#...#####.###.#.###...###....#...##.###..#..###..##.#.#.#.####...##.#.#.##.##...#########...#..##.#.#.......########.####..#.#.##..#.#.###.#.#.#..###.#....####.###..##.###.#...#....##...##.....#####...#.#
.#.#.#......##.#....###..#.#.#.##..##...#######.#.....###.##.#.#.##.####.####.#.##..##.#.#..#.#..#######..####.#...#....##..##.###..#.##.##.#.##..##..##.#.##..#.##.#.#.#..#..###..#.##...##...#.....#...#..###...#..#..#.####.####...#.##.##..#####...##..#...##....#..##.##.##.#.#.#.###...##..
...#......#.#.##.##..###.####.##.##.###.######.####.##..##.#....#.#.#####.######.##...#.###.#....###..#...###..#....###.......##..##..#..#.#.#..#..###..###.##....#####.##.#...#.##.##..###.##.#####.##.#...####..#.#####..####..#.#######.####....##.#...####...##.#..#####.####.#.##..###..#...
#...#....####...####.#.##.#.##..###..#####.#.##.###.#.##.###.##.#.######.#.##.#..##.#..##.#..###.#.#...#.#.#.#..##.....#.###...##...####.#...#.....#...#...#....#.##.#.#..##.##..###.#..#.##...#.#...#.#.####.##...###....#.##...#..##..#.##...###.#....##..###.#.###..##.........#..###..###.#..
##..#..###.#.......###...#....#######..#.#....#.###.#.###...#.########.#...##..#...####.##...#......#.###.##.####.###....###......#.##.#....#.#......#.#...##.####.####.#.#.##....#.##.....####...####..###.#.###..#####.#...#.####.....#.#.#####.#.###.#.....#..####.####.#.#####..#.#########..
..#..#.#..###.#.#...#.###..####.#.#..#..####.#..###..##...###....#.#..#.#.##.#..###.##....##..##.#.#.........#.###.##..#.###..####.#..##.##.##..####..##.#.#...###.####.#.......#.#.##.###.#####.#.##.##.####..#..#..#.#####..##.#.#.#....#.#....#...######.#....#...#.#####..#.......#####...##.
.####...#....###...#..#.#..###..#..##.##.#.###.#.#.......##.#...##......#.#....#..#..##.#.#.#...###.####..#.#..##.########.......##.###..#####.####.#..#.#....#..#.###.###.#.##.#.##.....#...#.##..#.##.#.##...##....#######..#....#..##...##.###....#.....###.#...#.....#..########.##...#.##.#.
##.######..#..##...#...####.#...##.#..##...........##.##.....##.#.###.#.##.#.#..#.###.#...##....###..###.##..#..#.#.##..##.####.#.##....#.####..##.##..#..#.####.#..#.###.#.##...##.#.##..###..##.#.....#.###.###.##.#..#........#...##.#####....###.....##..#.#..#....##.#..#...#...###.#.#....#
#..#.....##.#....#######...####.##.#.#.#.#.####....##...#.###.####.##.#....##..###..###..###...#####..##.##..##....#.######.####.#.#..#.###.#.....##..#.#.#..###...#.##.#.#.###.##.#...##...#.####.#.#.####.#...#####.#.....#..#####.####.#..#.#.#####.#...##..#..#..########.#..###.#####.#.####
####..#.#.#.......###......#...###.###..#..#.#..#..##...##.#.##.#####.#.#.#....#.##......#..##.##..####...#..#.#...#...##..#.###..#.##..##..#.##.##.#######...##.#####.#....##..##.#.....#..##....#.##.#...#....#.#.##....#..###..###.###.#####...##.....#..#.##.#####.##..#..#....##.#..#..#..##
.##.#..#.#..#.##.##.#.##.#..#..#.####..#...###.##..#####.####.#.########..##...#.###....#.##.#.###..##.#.....##.##...##.##.#..##.###...####.#.....#.##..###.###....#.#..##.##..####.##.............#..#.##...###.#..##......#.##..#...#.#..######..##.##..#..#..########.#.######.#.##.####..#.#.
...###.#...#.##..#...##.##..#...#..#.###.#..#.##.##.##.##..##...####..#...#..#####.##.#.#.#....######.####.##.##.##.##.##.##.#.##.##.##...#.#.#..####.##...##..#...###.##...###.###.#.##..#.###.#...####.............####.#######...#....#.#...##.####..##..##..#.#..##.####..#....###......#.#.#
#.####..##....#.#.#########...#.#..##.##.##......#.#.#.####.#...#...#.#####.#..##.#...#.##.....#.##..#....###........###......#.#.#.##...#.##..########.#...#.###.#..#.##..#.#.#.....##.###..##.#..##...###.###..##......#..###.##.######.#.####.......#.#.##.#..#........##...#.#.##.#..#...##.#
##..##...#..#.###.#...##.#..####...###.#..#.###.#.......###...####.#.#.##..####..###.##...#.#.##....##....#.##.##......####.#####.###..#.###.##...###.##....#.##.##...##..#.#.#...#..#.####...####..#..##..##.##.#.#.#.###.##..#...#..#.#.#.#..#.#.#.#.####....#..#.###.#.#.#...#...#.#.##.#.##..
##.##.....####.###..#####...###...#.##.##.###..###..##.###.###.##...#.#.##.###..#...#.......#.#...#..#.##.#..#..#.##..######.#.##.......########.#..###..#.#..#.#.###.##.###.##....#.#####..#.#...##########.....##....#.###..###.#####.#..##.#.#####...######..#..#...##...##.##.....#...#.##.#.
.#..#..#...#.#.##.####...##...#.##.##.##..#..#.....##..#..##.##....#..##.#.#...####...##...##.##.##.#.#####...#.#...##.##..##.###..#.##..######.###.####.....#####...#...#.###.##..##.#..##..##.#............#....#..#......##..#.####..###..####.....#...###..#####.####....#########.....###.##
#.....########.#.#..#.#.#.##.#.#.#.####.#.####...#.##...#.###.......####.##.#.#..#..#...#.#.##.#..#.####...#.###...##...###....######.#..##.####.#.#######.###.#.##.#.###..##.##.#....#.#...#.###...####..#.#.#.#.#.##..#..........#....#.#.#.##.##..####.#..###.###.###.##....#.##.####..#.#.#.#
..#....#..#..#.#.##.###.##...#.##.##.#...#.#####..##.###.#...#.###.#.#.#.#.####....######....###...#....####.###..##...#.###......###...#...##.#...##.##....#.#######....##..#.#.#...#.####..#.#.#..#...#...#.##...##..##..######..#.#..#.##.#......#.##.#.####.#.##.#.####.###.##...#...####.###
...#..#######.....##.##....####.#######...#..##..##..#..........#..###.###..#######.##.#....#.###.####.#.#.##.#######.##..#......#.....#.###.##.##.##.###.####.#...##..#..#####...##..#..###.#.##..#.#..#..##...#...##.....#..##.####.#..##.#......#.##.#######.####..#...#.###.......#..##..#..#
#.####...###.###..#..#.###.#.#.##..#####.##..#####...#.####.....#.#..#####.####.###.#..#.####..#.##.#...#############..####.##..#.######.#.##..##..#..#..#...#.##...###.########..#...##...#.#.#..#.###.#.####....#.#..#.####.##.#.###.#.##........#.##...###.###.##..#..##....######..##..#.###.
.....###.##...##.#.#.#..#.#####..#..####...#######.#.#.#.####.#..######..#...#..#..####.#..##...#.#.##..#.#.#######.#####.##...#.##..#.#..##...#...##.#.#.#####...#..#####.####.#..#.#..#...####...###..##.###..###.###.###......####.#.....####.######.#.#...#.....####..##.###.###.##...#..###.
#.#.##.#.##..##.#..#..###...###.###..#..#.#..##.######.#.#.#..##...###...#.#....###.#.######.####.####.#####..#.##..#.#.....###..#.#.####..##.#.#.#.#.#.#...####.....###....###..#####.########.....#.##..#.#....##.#...######.#.###.###..########.####.##..####.###...#####.....#..#.###..##.###
.#..#..##..####.#.####..#.###..#.#.#.#.#...###.####.####.#....#.##.#..#..####....#.####.##..#..##.##...#.####.###...#.#.##.#.#..###.#.#.#..###..#.#.#.##.#.#...##.###..####.#.#####.....##........#.#...#..........######....#.###.###....#..#...#.##.#..####..##.###..#...####.....#####...####.
##.#.......###....#..#.#..##..#...##...##.#.#######..#.#.#....#.#...#.#.#####..#.#.#...####..#.###.##.#............#.#.##..#...###.......###.##########.#..#....#.#.##.......#####..#....#....#...####.#####....######...#.##..#.#.#....#...##.#......#..#..##.............#.#.#.##..#.####...#..
####.#.#....###.##.###..#.....#.#####.##.#...#.####....#..#.##.###.....#..##.#..#.#..#.###..###.#..##.#.###.#.####.###.#.#...#..#.#.##.##..#.###.#.##.#.##...##..##....##...##.#......#.#.#..#..#.##..##.#.....#.####..##.#.#..#.###....####..#...#.#.#.##...#....###.#.###..####..#.##....#.....
#...##.#####.#...#..###.#.#.##....##.......###......##.#..##..####..#....#...#..#..#..#.#.#..#..####.##.#.#...#.#.#..#..##..#..#.####.##....#.#.####....#.##.#...#..###..#....###.##..#..#####..######.#.###.##.#.#.###..####.##.#......#####.##...#.###.#.#.##.####...#########.#..#######.####.
###..###.####.....#.#.#.#.##...####.####.#.#.....##..#####....#.####.#.##.##..#.###..##.##.#..#.##.#..#.##.##.##.#..##.....#.######..#.#..##.#.#..#.##.#.###..###...#....#.......#.#.#.####.....##.....##..###.###....##........#.###..##..####.#.#.####.....##...#..#.#####...#....####.####....
..#....###.##...##....#.#######...##.#####.#.#.######...##..##...#....#####..##.##..#...#......#.........##.###.....#...##.#.####...##.#....#.#....#.##.#.####.####.#.##.###...#..##..##....#...####......#.....##.####.#.######.####.........#..##.##..#...###.#...###..##.......###........##..
#....#...#..###.##.########.#..####.####..##..###........#.####..##..#...#...##.#.#.....######...#.#.##..####.##...###.###..###....##.###..#..###...##..##.#..#..###..###.##..#####..#.#####.###.....###....#.#...##.#.######.#.##########.##...####...#####.#...#.######.....#..#..#...###..####
.#.#.###.##....#..#.##.#.#..##.....#....#.###.#.#.##.##..###...###....#.####.###.....#.#.#.#.##.#...#..##..#####.#.#....#####.....########.##.###....#.##.##..##....###..###..#.####....#.#....##.####.#..##.#..######.#.###...###.##.#...#####...#...##.##....#..###.###..#....#.....#.####..###
.#.#####....##.###.###..#.###....#.#....#.##..#..#.###...#..##....#..#..#.#.#..#...####.....#.##..#..#..##...#....#.#..#.#####.###.#.#.#....#.###.#######.###.##.###.#...#.####..#.#.#.#..##.#.###...#.#.#.#..##..###.....###.#####.##...##....###..##..#.#..#.#.##.#.....####.#.#...##..###.##..
...#..##.......###..#...#.#.#..##.#.....###.#.#..#.....#..#.#.#..#.####.###.....###.#..###.#..#.#####..##.###.#.....###..###..#...#.....#.##.##.###.#####...#.##..#.##...#.#..#...##.#######.....#.####..#..######..#..#..##..#.##.##..#.#.#####..##.#.##.####.#..#.####.#..###.#.###.#..##..##.#
###.#........#.#.###.....#....#.#..#####.#..#..#####..#...##..##....#.#.##.#..#####...##...####...#.#.#.###.#..#.##.##.#.#..####..###.##.####..#.###.#.#....###.#..###.##.###.#.####.#..#..#.###..#.##.#.####..###.#..##...#.#........#####...##.#..#.##...##...#.###..#.#...#.##..#.##.####.#..#
.#.#.###.##.##...##.#.#.##.##.#..###.##.##########....##....#..##.##.###......#....######.#...#.#...#.#..#..##.....##.##.####.#.####.###..########.#...##.#...####.##...#..##.#####....##....#.#...##..####..##....###..#..##.#..#......#....###..##...##.#.###...#.##.##.....###.##.###.#....#.#
.#.....#.##..#..#.#..#.....#.##.###...##.#.##.#..###..#...#..#..##..###.#.#..######..#.#.#........#.######.#.#..###..#...##.##.##.####..#..####....#.##..#.#.#..###...###.......##..#.##.#.######...#.###.##..##..#.#..##.##..#.###.##..##.####..##..#...##....#...#...#####..##.#..#..#.##.#.##.
##..#...##....##.#...#..#..#..#.####..###..#..#..#.#.#.###.#.#.#####...##.###..####.#.#..##.#..#...##...##..####..#...##..#...#.##.##.###.#..#.###.##.###########...###..##.......#...##.###.#..#.#..##.#########.#.########..####.#.##..#...#...#..#...#.######...#....##.#.#..###.##...####....
..#.#####.###...##.##.####...#.#..#...#.#.#.##.#....##.####...##..##...#.##.##.###..#.##....#....#.#.###...#.#.####..####..#..#.##..###.#.###.#.....##...#.#.###..##.###..#..#.#.....#.#...##....##....#.......###.#..#....##.##.###.#..#.....#.#.#.##.#....##.#.##....###.#.#....#..#....#.#..#.
#.....#######..###..#.#.##..#####.#.....##...#.#....#..#.#####.#....####.#.#...####..#.####..#..#.....#.........#.#...##.##.#.##...######.##.#.#########..#...#....##.#######.....#....######.###..#......#..#.#.#..#.#.#.#.#..##..#####.#....#..####..#..###.#.###.#.#.##...#.#..#...##.........
.##.###.#####.#.#...##.##.#.....##.##...###.##.#.#.####.###...#.#.####.#..#.....#.##.#.#..#.#.....##.#.##.####..#..#.#.#####.##..#..#....#..###..#...####..####.#..##.#...#######.#..###..###.#.#####..##...#..###.#.#.#..#.#####.#...##..#.#..##...##.....#.#####.#..#.###..#####...#..##......#
###.##..#.###..####...#...#...###.#.###.#.###..##..#####..#..###.###..#####.#.##.###..####..#######..........###.##....#.....####..#.##.#.....#.#..#...#.#.##.#.#.##.....#.#...#...##....#####..###..##...#...##..#.#.....##.###..##.#....#.##.....#...#.#..#.#..###.##..#.##.###..#.##.##....#..
##...#....##.#.#####..###..#.#...###..###.###..##.#...#..#.#.#..######.####...#.#.......#..####.##..##.##.....##.#.....###..#...#.##.#..#.##.#..###.###..##...#.#..#####..####.##..#.#.##..#.##.#######.#####..#.#....###..#.#..##..###.##..#..#.....#.....####..##..####.##...###.###.#######.##
.##.##....#...#..#...####....##...###..#.#..##.#..###.#..#..##.#...#.#...####.###.#..##..#...##..##..##....#####...##.###.#.####.#..####..##.#..####.#.##..#.####.###.###.....#..##.#.#.#..#.###..##..##.##.#.#.#.###.###.#..#...##.##..#.......##.#.#.#.#.##.##.#.##...#..#...#...#..###.##..##.
##..##.##....##.###..#.##..##....#.#.#.##..####.##.#.###.#######....#####..###.#.#####..###...###..#.###..#..####..###..###.###.##.###..#.#.##..##......#..#...#..#.#.#.#.#....#..#..#.#.....#.##.#......#.##..#......###.##.##.#..####....#.###.#......#.#..#####.###..#####.#.#.#...#...#.####.
####...###..#.#....#..###.##...#.....#.#..##.##..#.##.#...#..#...##.####......##.#.#.###.#.#......#.#..###...#######..#.##...##.####.#.#..###.#.###....###.##..####..#.#..#..##.######.#.....#.#.........########.#....#.#.##..#.#.#.##.#....#.##..#.###.#.##..#.##...##.#.#.##....####.#.####...
.......#.#...####.###.#.#..##...####...##...##.#.##..#.##..####..##.#..#....#...##.#...#..####.#..##...#..##.###.###.##.##.....#..#.#######.#.####..#.##.#.#....#........##...##..#.##.#...#.....#.....####....###.###..##.....#######.#...#.##..###....#..#.#.###.######.##....##.#...##...#.#..
.###.#...##.#.##.....##.#...#.#..#..##.#...#..#.#.#.....##...########.#..#...#..#.#.##.#...####....##..#...##.....###.###.###.##...#.###.####.##.##.##..##.#.###.#.###.#...#..###...#.##.###.####.##.#.###..##....#.###..###..#...#...#..#.##...####..#.#...#######..##..####..##.#..#.##.###....
.#.##.#.##..#.#.##.#..#..###...##...###..#....##.#.....##......##.#..#.#.#.#.######.#.#.#..#..##...#.#..#.#.##.####..##.##.##..##.##.#....#..##.##.##...###.##.##..#...#####.#...#.#..####...#.#.####...##...##..####.#..#...#.##..##.##...##..###.#.##.#####..##.#.####.#.....##.###.##.#.#..#.#
##..#...##.#.#..#.##.###.###.####..########....#.#......#..###...#.#.##.#.#.###..#....#.#.....###..######...##.#.#...####.##.##....#..####.##.##.....##.###.#..#.##.####.....#.#.#..#####.....##.#######..#...##.##....##.#...#.#..#.###.#....#..#..###.##.#..###...#...#..#.......#.#..#..###..#
#.##....##.#.#.####..#.##.#...#..#...####...####...#.#..##.#..##...#...##.##...#..#####.##..#.#.##....###.##.###.#......##....###...##..#####...####..#......###.##..###.#.####...#.##.#.##...##.#.#####..##.#...##...##.....##..#####..##...##...#.#####.###.###.#..#...#.#..##.##.#...#...##.#.
##.##..#.##.##.######.##..#.#######....#..#..##.#..#.#.###.#.#.#...#......#..#.#....#...##.....#.#..##..#####.##....####......##.#..#..###.##.####.###.####.##.#..#####.###..#......#.#..#......##.#.#...#...###.#.#.######.....#.#.#..######.#.###.#...#.##..#...#.##.##.##.#####..##.##.#.##.##
#.#..#....##....#...##.#.#.#.#.######.......#..#.###.##.##.#..#####.#.####..####.####....##...#..##.#..###.##..##.#.##.#..######.#...#####.#.#.######.###....#...#....#..#######.#.#..###...##..##...#.###...####...####..####.#...##.....######...#.##...#...#.##.#####....#..##.##..#.##.#....#
##.####.###...#####.#.#.#.#..#...#...###..##..###..#..#..#.###.#..#...###.#.....#..#.#.#.#.##.###..#.####.###.#.####.##########....#..##.#..###.##....##.####....###.######.#.##....#..#######.###...#.#...##.#...###.#.##.#...#..##...#...#.#####.#.#.###.##..#.##...##....#.#...######.###...##
#..#...##.##....#######..#.#.####..#.#..###..#..#...#.#...##.....#...##......#..#..######...####.##.###.#####.#####.#.#...........#..##.........#.#.#..###.####.#..###..#.##.##..##..######.####.#.###.##.##.##........#.##..##.##....#.##..###.###.#...#.#.###..##..#.#####.##.#.......#.####..#
#.##........###.########....#.######.##.#......#.#...#.#.##..#..##.###.#..##.#..####.#...#..#.#.#......##..##....###...####.##..#.##..##...############....#.#.#.#..#.###.#####.#.####....#.#.#####...#..#..##.#.##.......#...#.###.#.#..###..#.##..#.##.#.##.#####..##.###.#.##...###..##.##.##.
###..##.#....##.#####.#.#.#..###..#........#.#..###.##.#..####.....##.###.#.#...#.##.##..###.......#########..#.###....#.##.###.#..##.#.....#...#..#.##....###..#.#.#..#..#...#.###..##.#.#..##.######.#.###.##..#.#.#.#...#.....##...##...##..##..#..#.....#..##.##..####.#.#..#.###.##...###...
#..###..#######.##.#..##.#.#.#.#.#.#..###....###..##.#.#.###.#.###..#...#.####.#..##..#.......####..######......#..##.#....####.##...##.###...#.##.#..#.#..#.#.##.##.###.#.#.##...##.####..######...####....#.#..#..#...#..#.##.##.####.#.##..##.#..##.##.#.#.#####.#...#..#......#.####...#####.
........##.##..##.#.###..#.#..#...###...####.######.###..##.####.#.#.#.###..##.#.........###.##.#.#..#.#...##.#.##..###.#.#..###...#.#..#.....#####...#.....#..#..#..##....##.##...#.##.#.#.###..#.#.#..#...#.##...#######.###....#..##.#.###.###.#.#..#.###......#.#..###.....######......#.###.
..######.....###..##.##.###.##.#.#.........###...##.##..#########...###..#..#.#.##.#####..###..#.#..###...#.##.#..##.###.....##.#.##...#.##........#..##.##..#...###....#.#.#.#....###.#.#.###.#..#.##..##..#....#.#...#####..#.#..#..#..##..###########.##.#.####.#..#...##.####....##.##.#...#.
..##....###.######..####.#...#.#..##..##...###....##.#..#..#.#...#.#....##.#.##...#.#...##.#..##..#.##..##...#.#..##..#...##..#.####.#.#####..###...#........#######.#.##......##..#.....#..##.#..###.####.#.#.##.##.#.#.#..#.#.#.#..#..##..#.###..########..#..###....#....###.#...#..#...##..#.
.#.#.##.##......####.####.#...####.....#.#..#..#.##...##....#.##..#.##..#.##..###...##...#.#..#.#...#.#..#..#.##..##.####..#..#.#.#.#.#.###..###..#..##.##.....#..##..#..#######....#...#..####..#.#.#..##.....#.#..##..##..###...#.....####.#...#.#.#..#....#..##..#..##.#.##..##.##.###..#.##..
###.###.....######.#...##.#...##.##........###.#..#.#..#.#.###........##.##....#.#.###...#.##.##.#....###..##....##.#...#..##.#..#.###..#.##..####.#.##.#.#.#.....###.####......###.#.#..#...#.###..#..#.#...#.#....##...#...##.#.#......########.###...###....#...##..#.######..#..##...##..##..
.##.#.##..#.######..#.#..##.####...#..#..#.###.#####..##...###.#.##...##..#.#.#.#..##.#.########..##..#...#...#.###...##.#....#.##..#...#.#..##.#....#......#.#.#.#.##.##.#..#.##.#####...####.#...#.#....#.......#.##.####..##...#.#.....####.#....##...#.##...##..##..#.#.###...##...######....
.#.....#####.#.##.##..#...##.####.###.#######.##.....##.##..#.#..####.##.####.####...#.#..#.#...##..#..#.#..###.#..#.#.#####..##....#.##.#.###...#.###..#..####..##.###...###.######.##..####.#.#.##..#...######....#.##..##..###.#.##.#.###.##..###.#......##...##...#.###..#####..#........##..
....######.###.##.####.#...##.#.#######.#..########.##.##....#..#.#.######...##.##....####.....##..#####...#.##..####.#....###.####.##..###.##.#####.#####.##.#..#.##.####..#..##.###...#..###......##..##...##....###..####.#.##..##.....#.#.....#..####..##.#.....###.#....#...#....#.##.###.##
.###.#..###.#.####.....#....###.##...###.#.#.#..##.##....###.#.#..#.#######...#..#.....###.##..#..##...#...##.#....#..#.#...........#.#.##..###.....#.#..##.##.###.#.#.#..######.....####..###.###..##.##..##.#.#######......#####.#...##..#####.##....#.#......###.#...#.###.#.##.....#.#..#.###
#..#.#..#.#####.#...#.#.##.##......#..##..###..##...#.#..#...#..#####.###...###.#...#########...#...#.#.....##.#..#.#....##...#.#...#.#...#...#.#.###..#....#.##.#...##.#...#.#.#####.##.###.#######.#.....#.#.##.#.......#..#..##......#.##.##.##.##..####.#..#..####....##.#####..#.##.#.#####.
#.##..##.#..#...######....##.#.#.###.##.##.###...##.########..#.##.###....#.##...##.##.##......#..#.#.##..##.####..#..##...###.#..#####.#...##.....##..#........#......##.#.####..##.#..#....##.#.#.#.#..##...#....#..#...#.##.####.#...###.####.#..##.#..#...###...##.####..##.#.##.#..##.###.#.
###..####..#....##..##.###...##.#.#####.##.#.##..#..#####..###...#..#...##.#...#####.#...##..##...######...###..###.###..##..#....#...#####.#.#..####..#.##...##.#..####....#.#.#..##.....##.#.#..##..#..#.##.###....#..#...#...#..###....#.#.#...#.#..#........#.##.#...#.#.#....####.##...#####
##.#.###..##..###...#.#.##.#.#..##.#....#.##.####....#...#...#.##.##.##.#..###..#...##..#.#.....##..#..#...#.#.#..#.#.#####.####.#.#.....#.####...###.##.##.#..#.######.#.#.#..#####..#.#.#.####...#..##..###.#.#.###..##..##..#...#.#.....#.#.####..###......##..#.#.#.#.#...####..##.#.###.#.##
.##...#.####.#..#.##.#.#.#..#..#.#.#######.###.##.#.....#.#.######..#.#.#...#..#####.###.##.##.##.#.#..##.#.#.#..#.#.#.#....##.########..#.##.##...##.....##..#.##...####.....###..##..#.#.#..##.......##....##..#.#...##.##.##.....#....###.##...##..#..#...##..#.####.#.###..#.....#....#......
.#.#...#..#..##.###.#.........##..#.##.#..#..#.....#.....#..####..#..#.....#####..#.#..#.##.......#.####..#...###...#####....#.#..#.#..###..###.#.#.####.#....#....##...##.#...##.#.##....##...##.#.##.#....#..##...#..#........##....#..###.#..#.#.#....#.####.#.....##...##...##..#..#....##...
##..#.###.....##.#.###..#...#....#...#.#.##..#.###..#.##....##.#####....#.###..#...#...#.#.##...##..#.#.##.###.##.##.#.##.###.###......#.#.#.....##..#.#.#..#..##..#.#.##.#..######.#...#..##....##.##.#.......#.#.##.#.###...#.#.#..#####.##.#..###...#.###.###.###.#.#.......##...#.###.......#
.####..##.#..##.##..####.#....#.#.##.#.##.####...#.###..#.#.##.##...#.#.......##..#..#.####.#.#.##.###.#..###.######.###.....#..#.##....####.#.#..##...#....#....#.#.####.#....##.###...#.######.#.##........###.###.##.####.#.#.##.####.###.##..#....#...###..##.#..#....######.#.....#.###.##..
.######...#.##.#.#.#.###.###.###...##.####..#.###.#..###.###..###.#..###...##...#..##.#.#.##.......#.##...#...#..#..#.#.##.##..####..##...#.##..#..#.##.######.##.#....##.#.....####..#...####.#.#.#..#..##..#.......#....#...#.##...#..##...###..#..#...####.#..#....#..###.###...#..#.###.#.###
..##.#.....##...##.###..##....###.###.#.#######.....#...###..###...#....###....#####..##..##.#.....#....#.#....##.##.#..###.#...#####.###.#....#..##...#.##.###.####.#..#.......##..#.#######.#..#..##....#.#...##.#....#...###..###..#..#.##..#...####.#########.#####..#..######.#.######..#.#.
...#.##.....##....##...#.###.##.#..####..#...##..##.....#...#...#..#....######.##..#..##...##.###.#...##..##....#.##.##.#.#.##...#.####.#.#..#...#.##.#.........####..##.###.##..#.#..#....#.#.##...###.#.#....#.#...####......##..#.#..##.##.##.#####.##...#.#.#.....##.#..##..#.####.##.#..#.#.
...#.....##....#.#..##.#.#..#........#.#......##.#...##..###...###.#.#.##..#.#.#.###.##....##.#.##...##..###..#...#..##.....###.....#.###..##..#.##..####.##..#.##....##.#.#......#.#.#...##..#...#......##......#....#.#..##...##.###..#####.#.###.#.#.#.###.##.#.#.##..#####.###..####.######..
##...#.##.#.....##.###...##.#.##.####.#.##...##..###.##.#..##.##.#.......#..#.#######....#.##...##..#.#.##..##.###.#.#.##.##..#...#....#.#.#....#..#.#......#.#..#...##...##.#.#####..#.###.####....##...#.#..##.##.#.#....###.#.##..#.#...#..#..####.##.######.#.##.##.####.##..#...#..#..#...##
#.####.#...#......#..#.###.####.#..#.##.###...#.###..##.#..#...###.##...##.#...##.####.##.#.#...#####.....#..##..##.######.......##.....##...##.#####.##.##.####.##.##...#####....###.....#.###.###.###..###..#.#..##..##.#.##..#..#..#.#.......#..#.#.##..##.#..##..##.##.###.#..##..##...#.###.
...#..####..#.####.##....##..#..#......#..#..#.##..#....###.#..#.##.#.#####..##..#..#.#.###########.###..##.#.#........#.#.##..#....#...######......#.#.######.#..#.##.#...#...#.#.#..#######...#.#####.#.##.#.###.####..#.##..#.###...##..#.##...##...##.#####.#...##.##.####.####.##..###.#.#..
..##......######..###.#.#########....#..#..##.##.#####...#..####...#..#..#..##.#..#.###.#..#...########...#....####.#...###.#.##.##..###.......#.#.#....#.#..#...###.####.###....#..##..##..#.#.#.####.#...###.#......##..#.##..##.###.#.#####.#.########.##.#.#.#..#...#..###.##.###..##...###.#
...##.#.#...###.##...#.###....#.########..###.....######.##.##..##.##.....##.#.##...#...###.#...##.#.####..########.#..#.###..#.#.##..##...#....#....##.....##.#####.##.##.......##..###.#..#.#..##.###.###..##.#.#.........#....############.###..##.####.###.###.######.....#...###..##..#.#..#
.##.####.....#....###...###...####..###.##.#.#.####.##.##.#.##..#....#.#...####.##......##.##..#..####..####..#...#.##..#...#...####...##.#..#.##.#####..####..#........##.#..###.#.#...####..###.##.#.###.##########.###..#####..#...#.###.##.##..##..##..#.##.##.##..#...##......##.###..##....
#..#..#...##.##.#.#....#.#..#..#...#..####...#..........##.#..##.##.##.#.#.##.#.###...###.###.##...###.##..####.###.#.#..###..##.##.##.#..###.#.#####..#.###.###.#.......#..####.##.##....###.#.##....###.##..#.##..#.###..##.#....#...####.####.####.#..###.....#....#.#.###..##...#...##..##...
.#.#.#.#..#.###.#.###.#.###..#.####..#...#.#..###.####.#.#....#.##.#.###..####.#.#.##.##..#.###....###..#..##..#.#..#..#..##.#.##...#.......#...#...####.#....#.#.#.##..##.####..###..#.#.##..#...##.#.#.####...######.##..#.#####...#.......#....######...#...##...##.##..##.#####...##..##...#.
#..#..#.#..#####...###.#........#..#.#.#..###.#..###.##.#...##.#.##.#...#.#.#.#.#.#.###.#####..##...#.#.###...###....##...##.##.#..#####.##....##..#.##.#..##.##....##...##..##....#.###..##.#..##.....#..##..##..#.#..#.##..#.######.##.#.####.#.#.#......#..##.####..#..##.#..##.....#.....##.#
#..#.#...#..###..#.##.###..##.####....#..#..###...##...#..#..##...##..#..#.#.....##.###.##.##..........#.#..###.#.#......#..##..###.##.###.#.#....###.#...##.###.#..##...#.....###.....#.##..###.##..#..#..##.####..##...##...##.#......#...#.....#.####.###.#.#.######..#..#..##..###...##......
#.#.....####.##.##.#.#..##..#...########..#.#......##..#...#.......##..#.#..##.###....##.####......##.##.....#.#.###.###.#.....#.#.##..###.#.....####..#..#...#.###.#.###..#...##...###.##.#.#..##.#.####..#.....####..##...#..#.#.######.###....####.##.##..##.#.##....#.#.#.####.#.#..##.#...##
#.#...#....##.#.#.###.##.#...###.###.###..#.###.##...##.....#.##.####..##.#...#.#....##..####..#..#..#...#.#....#...#..#..#.#.#.#..#.####........##...#.##..##...###.#.###...#.#.......###.####.##..#..##...###.#....#.##..###...###.##..#.###...##.#.#.#.....#..#.#.....#.....#.####.#.##..#...#
.#..######..###.###.#.....##.####.##.#...####..#.##.##..#......#.#.#....#..##..####.###........#...######...######.###.###..####.#.#.###.#.####.#.##....##..#....#...###.#..#..##.....#######.####.#.#..#.###.#.######...#...###.#.#.#.####.#.###..####.........##...##.####.#.#....#.#####..#.##
#.#.##.###.......#.####....####.........#.##.#.###...#.###.#..#...#..#.##..#.########.#.#...##.##....#.##.#.######....####...##.#...#.#..#....#.#..##.##.##.##.##.##.#......#####....#.#..###.#.###....##.###....#######.####...#.#.####.#....#...###.....###.##.###..###..##.##...#.##..##.#...#
#.#..##.######..#.##.##..####.##.###.#.#.##..####...#.##....##....#.#.##.##..##.#...#...#.#........#.#...##.##...#####..##.#######.##.#......#..#.#..#....##.#.####..####.......######.#..#..##..####.#.#..##..##.##...#.....##..##...#######...#####.....#.####.#.#....#.#..##.#.#####..##.###.#
###.....#...#.####..#.#..#.#.#.##....#.###...#.###..#.#.###..#.##.###..#..#.#.##..#...#.#.##.#.#####.#....#.#.######.######.###..#.#.#.##..##.##..#...#.#..#.####..#...###.#.####..###.#..#.###.#######.#.##...#.##.#.#...#.##....#.###..#...##.#.###.#.#..#####..#..#.....####...##.##..#..##.#.
.##.###..#.#..#......##..#...#.#####..........#..#.##..#.#.####..#.##....#.##..#...#.####..##..#.....##..##.#.#######..#..#...#..#..#...##.#...##...###....#..###..####..######.#...#............###.#..##.#.##..#.........#####..#.#..##.#####..#..##...####.#.#..#.####.##...##.###.#####.##...
.....#.#.#.#.....##...####..###.#...##.#..##.###..###.###.......#..#.........##..##.##..#..#.##....#..#.#.#.#.####..#..#..#.##..##.##.##...#.##.##..#.#..#.##....#...######.....###.##.#.#.#..#..##........###.#.####...#..####.#..##...##..####...#.###..###....#.#.#.#...#####.#....#.##.#..#..
##..#.#.##.#........#.#...#...##.#..##.#..##.#.######....####.##.#.#..##....##..#.#..####.###.##....##.....##..#..#.#..######.#.##.###..##..##.#.####.#.#.#...####.#..#.##..##.##.....##.#.##.####.#......#...##.#...#.#.####..######..#...##....##....####..###..#.##..#####...#.....#..##.#.##.
..#...#..##..#.####.##.##.#...#.#....#..#.#..###..##.##...#####...#..##.#....##..##.#.#.#.##.###.#.###.###.....#.###..#.####.####.#.###.#...#.#####...#####..#.##.##..#....######....#....#.###.#..####...###..####...##.#..#.##.######..###.#....#.###.#.#.#.#.###.#..###.#.####..#.#######...#.
#..##.##.##..#.##.#.###..#.##..#.##..##..#.#....#.##....#....##.##..#...#.#..######.#.#.#.#..###.....#....#..###..##..#...#.##.#.....##.#..####..##..#.#.###.###.....#.##.###.####.##..#......#.######....#..........##.....#.#...#.#....#.#.###.#.#.##.....#.##....#####..#..#.##....#...####.##
#.#...#..#.###.##.##.##....#####.####....#...##..#......##.####.....###..#....#....#...#..##..##.#.##..##..#..#######.#####..##.#....#.#.#...#......##.#.#.#.####...####.#......#....#..########...##.#.#####.####..#.......##....#.#.#.#..#....#..#.##.##...#......#..##.###..##.####.##.#####.#
#....##.#.#.#.##...###.##...#.#..##.####.#.##..#..##...#...#..##....####...##.####.#######.##....#....#..#..#.#.....#.#.#..############..###.########.#.###.###..####.#.##..#...#.###...#..#..#.#..####.#.#..#.#.#.#..###.#..##..##...####.#.###.#####.#.#.#....#...#.##.###.......###..##..#....
.###.#.##.#.....######...#..#......#...#.#..#####.##.##...##.##..#.##...##..#...#.##..#..##...#.#..#.#.#.#.##..##....####.#..#..#.#..#....#..#.##.###....#####.....#...#.#..#.####...###.#.#.#.##.####.###..#.##..##.#......####.#....#####.###.#..###..#.....#.#..###...###...#...####..#..##.#.
....#######.#...#..#.##.#........#.#.#.####.#..####.###...#..#.##.###.###..###.#.##.#.####.#.#...#########....#.....######.###..####.#..#....##...#....#.##.####.....#.##....#.#.....####..#..#..##..##..#....#.#.#....######...##.#..#.##..#####..#....######...#.....#......###.....#.........#
###..###.#####.#.##.####..##...#.##..#.#.##..#.###.###..######.##......#...#...#...#..#.##.##.##..#..##########.......##.##.#..##.##..##.#......##.....#.####..##..##.#...#...#.###.#.#..##########.###...##...###....#..#.#...##..####..#.#########.#..##.###.#.###.#.##..#####.#..#.#.##.#...#.
##.###...###..#.#.#...#.#.#..#...#..#.##.####.####....#####.###.##....###.#...#.#..#.##.##.#.....#.###.#..#.#.##.#.....###.#.###.#.#.#...#.......#...###.#.#....####.#..#.#.######..........##....##..##.#.#.#.####....##........#..##...###..###.##...#.#####..##.#......##...#.##..........##..
.###.##########..#.####...#.#..#...#..#..#....#.#.........#...#..#..#..##......#........#.#.###...#..#...#...##..#####....#.####..##.##.#####..###.#####...#..#.##.###.#.####......##...###..#.##.#.#.###.##.##.######..#.....##.#.#......#..##.##..#..##..##....##..##..##.#.#.###.#....#..#..##
##...#...#.####....#####.##..#.####.#.#..##..####.#..#...#.....#########.##.#..#.#.###..##...###.##.##.#.##.##......##.###....#.....##.#..#..#.#...##.#.#..#.##.####.......####...##...#..######....##.#...#.#..#...#.#..####..#.###..#...#.......#.###..#.#.#..#...#..##......#..##.#..##....#.#
####..###..##.#####.#.###.##.#...###..#..###..#.##...#.##..#.###..#...#...##..#..#..##..##..##...###...####..##..#..####....##.#..##.##....#..##...##.##.##.##.#.#..#..####.#...##.#...###..#...###....#.##.#####..##.####.###.##..##.#....##.##.#.##.####....#####.....####..#####.#.#..##......
.#..##.##....#...#.##..#..##..#....#.#.##.#.##.###...#..####..###.#.##.#.......##...#....#..#.#..#....#.#.######.###.#.###..#.#...###.......#.###.###.#.#.#..#..#.#.##...##...#.#..#.#...#.#.##..#.#.##.##....####....#..###.....#.#.#.#...##.###.#..##.#.#.##.#..##..##..#......##.#.##..####...
.#..#.##.###..##.###...##..#....###..###...##.#.###.##.#.#.###..##.##.#.....#####.#.#.##..#....#.####....#..#.#....#..##..##..##..#.###.#.##......##..##.#.######...###..#..#.#......#....##.#.##..#..#.##.#..####.#..#..#..#...##...#.####..#..##...##.###.##......#.#...##...##...#..##.##.#..#
##.#..#.#.#####.##...#.#...#.#.###...##.###..#.##.....####..##.#..#.##..#.#.#.##..#..#.....##.####...#.#.#.#....##.###..####.#..#..#.#.##.###..##.#####.#.#...#..##..#...#.##...#.#..#.#....#.####.##...##.###.....#.####...##.##..#.#..#..###..##.#.#.#...##.#.....##.##.##..#....###...###..###
.#....###..#...##.###....##.###.###...###..#.#.#.####....##.....#..#..#...#...#.###....#.#.#.##..#..####..###..#..##...#....##...##.#.#.##.##..##.#.####.###..#.........#......#..#..##..##...#####..#.#..#.#.##..##.....##.##..###....########..#...#..##.#.###......#......#.##.#####....#.....
#.#..#.###...#.##.#.###...####....##..###.##.###.#####..#..#.#.#.....###..#.##..###..#..#........#####......#...####..###.#.##...#.###....#...###.#.#..##..####..#.##........###.##..#.##.####..#..#.##.##.#.##.#..####..####..#.#.##...#..#.#......##...#....#..#....#.#..###.#.#...#.#.###...##
.#..###.....##...##.#..########.###...###.......#.#.#.##..#..#.##..#.....####.#....####..##........##..#####.##.#####.##...####.###....#....##.#..###.....#.#.....##...###..#.#....###....###...#.#.#.###.###..###.####...#...#.#.#..#...###..########.##.#.#####..##.###.##....###...#...###.#.#
.#..#.#..#.#....###.#...##.#.##.##..#.###.#.#.#...#.#..#...##.#.#....###.#.##...#...#..##.###.#..##.....###..#...#...####.....####.##...####.#.#.#..#.#.#.....#.#.###.#...#..#####.#.#....#######......###...#.##.##.####.##.######.#####.####.#........#.##.########..####...###...##.##.##...#.
###.####....#######..###..##..###.#..#.##...#.###..###.#....#.###..###..#...##.######.......#.#.#.#..#.##.##.##.#.#...#.#.#...##..#.#.#...#.#...###..#.#...##.##.##..###.#.#..###....####.##.#..#..#...#.#.##.#......###.##..#....#...####.#####.#..#.#.##.#...#..#..#####.....###.######..#.###.
.#.##..#......####..##.#######..##.#..###.#..#..#.##.#.....####.#..###..#.##.#...#######.#..##.###.#.#....#..#.#......###...#.#.#.#..#..#.....#..#...#######...#####..##.#.#....##..########.#......##.###.#.#.#....#.###..#..#####...##.....##....##.##.###.###.#.#..##...#.##.#.######...######
###.#....#.#...####.#.###..###...##..###....#..##...###....#####.#......#..###..#..#####.##....##...#...#...##........#....##..##...##..##.####...##.#.#.....##..##.#.....#####.########..##..#.#.######........#....#.#..##..###..#.#.####..#.#.####..#.####....#..#..##...##.##....#.###......#
######.#.#..##.....###.#.....##..#.#...##...###.#.#..####.#.#...#.....###..#..##.#.#.##.#....####.....###..#..#..##....#..#...###...###.#.##.##.#...##..#..######.#.##.#.###..###......#.#.#.....##.#.#...######..#.#....#.####.#..#.##...#.#..#.#.###.##....##.#..##.########.###.##...#...#..#.
#.##..##.....######.#..#.###.##..#.#.##.##...#.#....####..#..#.#..####.##.......##.....##....##.#...##.#.#.###.#..###.#..##....#####.###...#.##.#..###....#...####...##....##.#.####..###.#####...#......###..###.##....##.##..#..###.....#..####..#....####.####.#..####.#.####.###.##.#.#.#...#
##.#..#.....#.#.##.##..#######.##..###.....#.##.....###...#..##.##.#.###.#...#..#..#..##...###.#..#######..##..#..##...###..#.####......##....#.#.##.#...##.##..##..#..#..#......#..###....#....######.##.#...#...#######...##...##.####..##..######.#..##.#.###.#..###.##.####...#..##..###.#...
.#.##.#.#.....#..#######....##.....##...#.####..####...#..#.#.#..#..##.#.###.###.#...###..#.##.....###.#.....###.#.###.##.##...##..#.###.#.#.....#.#..#####..##.#.#####.####..##..#...########.###...#.#..#.....###..##.##.#.#####...###.#..##........####.#......#######..##.#.####.###.....#.#.
....#.####..#.##..#.###.#..##..#..##.#####..#.####...#..###.#.##.##.#.###..#...##.##..#.##..##.##.###.##..##..#.####...##.##.###..#.#.#...###.##...#.#..####.####.#.###...###.#.#.#...####.#.#..#..#.#..#.#..#..#.#.###.##.##...####.#..##.##..#.#.###.#..##.##..###..##.##.##.####.#..##...####.
.#..##.#.#...##.#..#....##.#.#.####.#..#...####.##.####...###.#..#.#..#..###..##.##.#####....##.###....#.#..####.#.#.#.#.#.#...#.##..#.#.#.#.#...#.##..#...##...#..#.#.#######.#.#...####...#.##....####.#.##.###.#.####..##...####..##....##..##.##....###.#..####....##.#.#.###..##...##.###..#
##.......##....##..#####.####..##..##.#...#.##.#...##.#..###....#.#.#.#.....##..##.#...###.#.##.#.###.##...##..####....#.#.#..##.....##.#..##.#..##.####...#..##..##.##..#.....#...##.##.......####...#.####.#.##.....#.....#..#..#...###.#...#.###.##.#.###....#..#.###.##.####...###.#......#..
..###.#.#.#####.#.......##...####.##.###........#.#.##....#..##......##..#.###...#.#...#.##.####.#.########.##...#.#.#.#.#####...##.###..##.#.#...#######.####.#..###..###.###....#.######.######.##.###..##.....##.#....#.#........#.#.#....##..#.#..#..#.#..#####.####.###.........#...###.#...
.##........##...###.#.#.#..#.#.###.##.#........##.#########..##.#####.#.##..####..###....##.#####...##.#.#..#.##..#...#.#.#.##.##..........#.#.###...#......###.#...####...#####.##.##..#.#...#.#.###.#.#.#...#..###.#..#.####..##..#....#...#...#.#..####....###..####...#..#.#....##..#....#.#.
..##.##.###.##..#..#.#####....#####.#..#..#.##....#.####...##.####.###...#..##..#.##.##.#.#.#....#..##..#...#...#.##...##.#####..#.##.##......##.#....#.######.#.#.#...##.##....#....#.###.###.####..#..##.#.#..#.###..#.#.#..####.##......#######...#####.###..#.#.#..##..###.##..#.##.###.....#
.#....#..###.#.....######.....##.#.#...###.##.#.#...##..#.......##..##....##..#..###...#.####.##.##.##....####..#######.#...##.####.##.#....##.#.##.#..#.#.##......##..#..#######.####.##..#.##..#.#.#.##..##.#.###.###.###..##.#.###.#.#.##.##.##...#.#..##...#..####.#.#...#...#.#.##.......#..
.##..#....#..#.#.###.#.....#.##...##..###########.....#..##..###.#.#.##..##..####.##..#.#..##...#.....#..##.##.#..#..#..##..###..###.##.#.###..#....#.###....######.##########...#..##.#.####...#....#.#..#.###.#.#...#.###.##..#....###.##.#..#.#####.####.####..#..#..##...#..####.#..#.##.###.
...####.#.####.#..##.##..##..#...##.....#.#.#....##..#..##..#..###.#####....#.##.###.#.##..........##...##.##...##.........#####.#.......##.#...#.#.####.#..#.#....#..#..######.##..##..#..#.###.#..#.#####.#....####.#.#.#.#..#####.#......#..####.#.###.###.###.......#..#...#.#.#...#.#.###.#.
.#......#..#..##.##......##..##.#####...#....#...###.#...####..##.#..#.###.#....###..#.#...#....#....#....#####....####.#.#.##.....###.#.#..#######..###.##....##...#.#..#.#...#####.##.###.###.#.#.##.#..#.#...##.#.....##..##.#..#...#...#.#....######.#####.###.##.#...#.######.##..#.#...##.#
#.#####.#.......##..#.#####...##.....#.#.#..#########....#.#####.#.##..##.#..####.#####..#.##.#.###.#.#.#....###.##.#.#...##.###.#...#.#.###...#.##..#.....##.###.###.#..###......##..#....###.#..#..#...#.#.###....#.#.#.#.....#.###.##.#.#.#.##.#.#.##.#.#.#..#.#.#......#..#######.#...#.##.#.
#...#.##.#####..#.##...###.##.#.#.#.#.##########.#########..##..#.#.#.#####.#..#..##.####.#...###..#.##.#...#.##......##....#.##.#...#.#.###..###..#.####.####.###.#######..##.####.##.#.#######..#.##.......#.####..#.#...#.##..#.#.####..##..#...##..#...###.##...#....##...####...#.#..##.#...
.##.####....####.#.#..###..###....#.......#####.#.#..#.#.#...##..#...#...######.##.##.##...#..##..#.#.....###..####.####...##..###.##..##..#..#.##....######.#.#.##.#.....#..#..#.#...#..###.##...#.#.##.....#...####.#####..#.#.####....#####.##......#.#.....#...#.#..#.##.#..#.##...#...#.#.##
##....#...#.##..###..#...######...#...#.#...##....##..###.###..##.###...##..##..#.###..#..###...##.##..###.#...##.##.#.###.#..#..#...#.####...#.#...######.##...###.....##.##.#....#.###...#####.##.#.#######.#.#.#.#.#.#..##.#.#.#..#..#..###.#####.#####..#..##...#..##..##.####.#....#.....#.#
##..#.......#####..###..#.#...###..#.#.##..#.###...###.##.###......#.###......#.#######.........###.#..#..#..#..#..##..#####.#.#.....#..#..#.#..##..####.##..##..#...#.##.##.####..#.#..##.###.###.###.###...#..#.#..###.##.......####.##.###..#..#####.#.#.###.#.....#.#..########.########.###.
....#.####.##.##..#....#.#.#..###.####..##..#...#...#......#.###..##...####.##..#...###..###.....###.#..#.#....##..##..#.#.#.#.##.###.##.#.###...#.###.##.##..#.##.#.###.......#.#..###..#..#..#.#.#.#.#.###.#..#####..##.###..####.....#.###..#####.#..#..#...#.####.#..#.#.##.#.#####.##..#.##.
####...#....#...#.#...#...#...##..##..#.##.##.##..#.##.###.....#..#..###.##..#.##....#..#.##.#..#.##.#.#.####.###.####...##.##...##.#.##..#.###....##..#..########...#...###.##..#........##.#..#.#..#.#.#####.###....######.........#.....#.#.#....#.#####..##.##.#...#.#....#...##...#.####..##
#.###.#.#.#.#...##.########.#.#####..#.####.#.###.#....#...##.##.#....#...##...###..####.....#..###..##...#.##.####.#..##...####..#.###.#..##.....#..###.....#....#..#####..###.#.###.##.#..###..##...#.##.###..#...#..##...#..###.###.###..##..##.#..##.#.#.#.#.##.##....#.#.#...####.#.##.#.#..
..#.##.#.###.#.###....#......##....#####......#.##..#......##.#.....#.#..#..####.##....##..#.#..#.#.#.#..#..#...#....##....#..#...##....#..#.###....###.##...#.##..##.#.#..#.###.#.#..#.##.###..#..##.##...#.###....#...###.#.#.#.#####.###.#..#.####.#.#....##.##.######..#...######.###....##..
.#.....##.#.##.#.#.#..##..######.######.#...####.#..#.#...#...#.####.###.#...#.#.#..####...#.###.##..##.##.#.#....#...##..#..#..#..#....#...#.###....##...##.#.##.#...#.#.....##.#......#......#..#.#.#.###..#.#....##..##.#...#...##.#.##.#.#..#..#...###..###.#..##.##..#.##.#.##.##....##...##
####.#.....##....#.##....###.....##...##..####..##...#.#....#.###...#.#.###...###..#.##.#.#.#.#.#....##....##.###.###...####.....#..#.#.#..#......#...#.#.#..##..#...#....#..#.....##..#..#..##.##...###.####.#.#.#.####....#...#...###.#.#.#.####..#..##..##..#.....#.####.#..#.##..#..#....#.##
#####.#.#..#...######.###.##..####..#.#####...##.##.##...#..######..#.#.###.#..####..###..#.#...#.#...###.##..###.##..###.##..#..#..#......#.#...##..###..####.###.#...####..#.#..#.#.#.....#.#.....##.##.#####.#####.#.##..#.#.#...........####.###...#..###.#####.#.###..#...##..#.#####.#.#...
##.#...#.#.###...####..##..###..##.#..#######....##..###..#..#..###.#.#.######.##.##.##..#..###.#.#....#.#.#####.##.##........#.#.###.#.#..#.##...####..##.#..#.##..#.##.#.##.##.##.#.#.#####..#...#.##.#..#####..#...#..#.#...###.##..##..#.#.#...#..####.#..#.##.####..#.##.#.#.#.##.....##.###
#...#.....#......#..##...#..####..#....####.#....#......##.#####.##.####..#.#...#.#.##.###.#......#.#...#..####.#.#.#.##.##..##.#.#..#.###.......##..#.#..#.##.##.##.#.####...##.#.#.##.##...#..#.##..#....#........##.#....#..##..#..###.#.#.#..##.##..###..#...###....##.#..######....#..##..##
##.#.#.##....#.#.##.#.###.##.###..#...####..#..#.....#..##..#.#.#.#.#####..###..#.#.#...#.#.#...#.#.#.#..#.###.##.###..#.##.#.#.##....######...###.#..#.######......#.#..#...#..##.#.#..##.##....##...##....####.#.....#..#...#####.##....#####...#..######...##...#..#.#.####..##...#..#..#.....
#....########..#..#..##....#.#.#.#..#.###.#...#....#####.##.###...###...#..##.#.#..###..##..##.....#..#....####...#..###.####.####........#....##.......###....##....#..##..#.##.###.##...#.#.#.#.#####.#.#.#.###.####.##...#....###.#..##.##..###..##.....##.###..#...#..##.##.##.....#.#.##...#
.##...#.###.#.####.##.###.....#...#.....####.#.#..####.##..#####.##.###.##..#.###..###.#.#..#..#......#...##...#..##.#.###.#...#.#.#.....###..##..##.......#..#.#...###..###.#.#...##..#.##.#..#.###.##.###..#.....#.#...######..###..#..##.##.##.#..#.#.##....#...##..#.###.#........#....#####.
#....#.#..#.#####.#.##..#......#.##..##.#...##...###.#...###.#..###..####.#.####....#....#...#.#.#.##.##.##.#..#..#.###...###...##........#..#.###...##.##...#..##.#####....#..##.####..#...#.###..##...#####..###.###.##..#.##.###...#..##......##.#.#....###...#####.#.#.##.......#.#.#####....
#...#.#.###.##...##.###.#.#.#..##.....#..##.##.##..###.#..##..#.##.###..##..##.#.#..#.###....#.##..#.#..#.#.#...#.##.#.#.###......##.##..##..#.##...####.#..#.#..###..###..#.#..###.#..#..#...#...###.........##.##.#.....#..#.#.##.##.#.#.###..##..#.#####...##.###.....#..#....##.##.##..##.#..
..####.##...###..#.#.#.##.###....#.#...#.###.....##.#....#.#..#.#..####..##.####.#.#.#..#.#.##.#.##.##.#.#.###....#.####...##..#......#.#.....#.##....###........##..#######..###...##.##....##..###....#.##...#####..###.#..#..#...#.###..###..#.#.#.####....#..####....#.#......###.###.....#..
#.........###.#.##.####.#.#.#.#..#####.##..##..#####.#####...##...##..###...##.###....#.###..#....#.#.#.....#...#.####..######..#......##..###..#.#..#...#...#.......#.##.#.##..#....#..##########...##.###..#.#.#####...#..#..#.####.####.#..#..##...##.##...##.....#.#....####..#.#...........#
....###.###...##..##.##..#..##.##.#.##.####.##.####..#..#...#..###.#.#..#.###.#.#....#.....#..#.#.#......####.#.....##..#.#.#..#......#...#.....####...###.#.#.####.###..#.##....#...#..##....##.##.##..#..##..##...##.###.##..#..#.#.#####.##.#.###...###..#..#..#...#.###.#.##.....#.#.##.###.#
##..#.#...#...#.#..#.##.#.#####.##.#.###..########..##.###.#..#.###.##.#.##.#.#...#####...##.#.#########.#.#.##..#####.#...##....###.#....#.##.#....##....##.#.#...#.######.#....##..#..###.##.#......###..#.....#.#...#...####.#.....########...#.##.##.######..##..##.##.#.#..##.##....#.#...##
###.##..###.##.......##.#..#..##......#..####..##..#....#.#.####.#.#...#..#.#..#.###..###.#..####.#....#..##.#####...##...#......#.####....#.##..####...##..######...##..###........###.###.##.###..##.##..###..##..#.#...#...#...#.#.#.###.#.##...#.##..#....#.#.###.#.####...##...#..#..#.#....
....#...#..##.#.###..#..##..###..##...#.##..#..#..##.#...#.#.#.##.###.######.#.#..##.##.#.####...##...#...##...####.#.#.###.##.#...##..###.#..#.#.#.#.###.#.#...###..#.#.#.....#.####.##.##.#.##....##.##.##..#...####.#.#.##.....###.####.###.#.##.##.######.##.##......####.#.....###.########.
.....##.#..####...#.#####..#####.#..#...#...#####....#..##.#.#.....#.#..##...#.##..#####.##...####...#.##.##.######.##.#...#.#..###...#####..#.#..#.##.###....#.##.#####..#.####..###...#.#.#.#.#.##.#.###..#.##.####.#.####..##.#.###..###.##....##.......#.###.....#.#..#..#.#.###...#..#...#..
#.#..#.#.#.####...##.#.##.##....#.#.#..########..###..#..#.#....##.##..#.##....###...#.####.###..#.#.#.##.........##..#.#.##.#...#####.##.####...#.###.#..####.#..#.#..###.#..##.#.#..#.#...##.#..##..##..........##.##..##..#..#.#####.#.#.######.###...#...##.#.#.#..#..#..#..#...###.##.#.#.##
.#.......#.#.....##.####.##.#....####....##.#..#.#.####.#..#..#.###.########..#..###.##..#.###..####....##.....#..##...#.###..###.##.###.##.###.....##.#..#...##.#.##.##.#......###.##.#..#.#...###.#.#..####..#.#.#.......###......#.###..#####..#.#...#....#....#.#####.####...#####...######..
###.#.#...##..#..##...#....#.#.#.###.######.#####..#....#.....###.......##.#..#.##...#..##.###.##.#..##.##..#########..##..#.#..#.##.#.##...#.#.#.###.#.#.#..###..##....#.######..####.#.##.#####.####..####.......##.##...#....#.#####...#..##..##.#....##..#...##...##.#####..###..###.#..#.#..
#.##.####.###.#######.#.#..#.#.#.#..#...#.##.#...#.#####..#.....#..######...##.##...##########.#.##..##.#.#..#.#.....##.......#..###....####.#....#.....###.#.#.#..######.#.###.##.#......#...###....#..#......#.###.#..####...#.##.####........#..##.####..#......##..#.#.#.###.###..##.#..#.##.
...##...#..#..##..#.##.#.##.####.###.....##.#.....####.########.#.#.#.##...##...###..#.#.##..#.....#..#..#...####.###....#.##...#.#.#.#.....###....###..###.###..#.##...#.##.##...##.##.##.#........#.#########.##....###..##..#.........#.#...###..##.##..###..###.#...######.#.#.###.##...##..#
..##.###..#####.#..#.####.####...#.##...#.###..#...###...#.#.#.####....##.###.#......##..####.###..##..#.###..##.#..#.#.....###.##..#.......#####.#.###.######.....#...##..##.#.##...#..###.#.###..#.###.#....#..#.#...##..#.##...#.##..##.#...##...##..#.##.###..#...###.##.#....#..#.###.##....
.##..#.....###....###.#..#.#.###....###.#.##..###...####..##..##.##.###....##..####.##.#...##...######...####......#.##..#.##..#####.#..###....#.##.#..#.....##..#.....#..##.#.####.........##.#.#.#..##.##.####..#.###..#.#.##.#.#.#####..#.###..###........####..####...#..#.#..#.#.###.#######
.#####.#.#..#.####.#####.#..##.....##.###.#.##..##..##....#.##.##.#.#.#...##.#.#.....#.##..#.....#..#.##.#..#.....##.####.#...#...##.#.#..#.....#.###...#####.####..#.#...###..#.###....###.##............##..#.#.##.##...##.....###..#.##.########.####...#...#.##.#..###.#.##.####.#.##.####...
#..####.##..#.#...##.###.#..#....##.#.#.#.#.....##.##.######..#...##.###.###...##.......##.#.#...#.####..#..#..#..#.##....########.#...###.#....#.####.##..###.#.#.#.#######.##..#.##.##...##....###.##...##...#..####..##.#......#..#.###..#...##.###..#.##..#.#..#..###.....#...#..##.#.#.#####
.#.#.#.##.#..##.#####.#########.###.####....#.#.###.#.#..#..##..#..#.#..#.#..#.#.###..#.#.#.#...##.....#.###.###.#...##..#..#..###.####...##..#...#..####.##.#.##.#...#.########.....#.#####.##..##.#.###..#.###..###.#.###.#.##.#..####.#.##.##.#.#..#..#.#..#...#...#..#.###..##.####.#######..
.###.####.###.##.#..#..#....#...##....###.##.#.#..##..#.#.#.###.#..###..##.##....#....#.#..##..#..##..###.#..###..#.##..#.#..#...#.##....#..#..#...##...##..#...##.####.####.....#.#.#####..#.#.#..#.#######..#......#.##.##.#####.#.##.#....#####.###..###..#...#.#.####.#..#...#.##.########.#.
#.#.#.#.###.#.##...##..###..##..#..##..###.#.###..#...#...##.#..#.#.##.##.##...#..#...#....#####..#..###.####..##########.##.#.##..#.##.##..###.##...#.#.#..#..#.##...##..##...##..#.#..#....#.#.##.###..##.....#####..........##.##...##......#.###...#.#..#.#....#..####....##.#.#.###..#####..
..#.#...#...#..###...##..#..#..###.#########.####.####...##.#.#..#..#.#.##############.##.##.#####...#.###.##.#...######..####.....#.##..##....###..###...#.#.###.#.#####.##..##..#......####.##.##.###.#.####.#.##..#.#.#.###..#.#.#.#.##.#..##.#.#####...#.##.#..#.#.#.#......#.###..#####.#...
#..####.##.......#.....######.#..#....#...#.###....##.....#...##.#.....###.#..####....##..##.#.#.#.####.#..#.##.###...#...#...###.###...#...###.#.#.#..#.#.#..######....#.#.##.###.###..#..#...###..####.###....#..##.#.###.##..#.##.##########..#...###.....###.##.#.#..#.###.#.##...#.##..###.#
.#..#...##.#.#...#.....#.#.#..#..##.##.#.####.#....#.###.#..##.#.#.##..###.....#....#..#..#######.######.##.######.#.####..####.##.######.######.........##...#.#####...####.###.##.#....#..#.#.#.#.##...#..#####.###.##.###.#.######..#..#.##.###.....#.###.##.#.#.#.#.##.#.####.##...##...#....
#..#.##..##.######....##...#######.#.#.#...###.#..#...#....##...###.#..###..#..#..###....##.###.....#..#.#.######.#####...#..#.##.####..#####..#.########....#...##.#####.##.####..###.#.#.###.#..##.#.....###.#.#######..#####.###.#.#...##.##..###.#.##.#.##..#.##.##.#.......#...##.##...#.###
#....#.#######..#....#.##..##....#...#.#..#..###.#........##.##.###..#..###.#.#..##.#..#..###...#..####.#...#.#####..#..##.##..#.##.#.#.##...##.###......#.#####.#..#...##.#.#.#.##......##.##...###......###.#####..###..##..##.##......#.##...#..###.##.####....##.#....#...#.#..#...##..#.#...
##.....##...#.##.#..##..#.###..#######..##.#..####...#.......#..#.....#...#.##........##..###...#...#.##........#....#.#.#.#####..##.#.#.######.#.###.###.##...#..#..#...#...#.##.##..##.#.#....###...#.....###.#...#.#####..####.##...######..#.#....####...##..####..#.###.###...####.###....#.
.##..###..#..##.####......####.##....###..###.#.#.....##..##...#..#.#.###..#..#.#####.##..#..#.######.####.#.##.###..##.###...##...###.......#.....#.##...#.##..#..#.#.##.#.###.#.....####..##.###...##....###.#...##..##........##.#..#..##.##.#...#.###.......###....##..#####.#.##......##.#.#
###..#.#.#.#.#...#..#.#....#.#..#..#.#...##.##.###...##.####..##.##.######...#.#.#.#.##..##.#...###....##.....##.#########...##.##..#..#.#.....#...#...#.#####.#...##.#...#.###.#.##.....##.#.#.#.#..#..#..#...#####..####..#.#.####.#....##..###...##...#....##.###..###.#...#.#..##..##.#...##.
.#....###...#...###.#.#.#.....#....######..#.#...##..##.##.....##...#.##.##.#...#..#.#.#.#.#.#...#.#....#.#...#..#######....###.#####.#####.#.#.##...#......#.##.#...###....#.#.##..#.#.#.#...###.#.##...#.#....#.#...#.###..##....#.#..#.#.#.##....#.#.#...##..#.##...#.#...#......#.###.#....##
..##.......#.##.#..#.##..#.##..#.#.##.##..###......##..#......##....####.##..#..##....#..#.####.##.###..#....###..#.#.....#..####.#.#....#.##.##.#.#.##.#..#.##.#.###.####.######...####.#..#.....#####..#.####.....##.#####..##..#.##.#...#....#.#.##.##..###..#.#######..#.#.##...#.###.##...#.
###.#....#....##.#..###.##.#..##....##...##...#######.##......###....###...##..#...#...#..#..##..##.#.###.###..#...#..####...####.....#####.##..###..#..#....###.###.##..#######..#.#....#.#..#..##....#.....##...#.##.####..#.##..###...###.####..###..##..##....###.##.#..#####.###.#....#.###.
.###.#####...#.#.#.##..#.#...#.......#...##.###.#...#.##.#..#.######.#.#.......#...#.#..#....##.#.##.#.####.###..###.#......#...#.#.#.###..##.###..#.#..##....##...#####..#.##.##.##.##.#.##..###..###....#..#...#.#.##.#.##.#..#.##..####..#...#..##..##..##.#.....#.##...#..#..##....#.....#...
#...#..######..##.#.##...#.#....##....##.######..#.#.#...##.#.##.#....###..##.##....####...###.##..##.##.#..#..#.#.##..#...#.#..########.#.##...#.....##.#.#.##.###.####.#####..###..##.#.#.#..#####.##.##..##.....##...##..#..#.####.##.#.#..#..#..##..#..#.#......###.#..#.##.#####.......#.#..
...#.#######.#...##..#...#.#.#####..##.##.###.#.#..###.#.#..#.#.#.#......##..###.#.###..#.#.##.##########..##.#..#....##..#.#.#...####.#.###.##.###.#.#.#..##.#..#..####.....######......#.....##..#.#.#..#..##.######.......##.#....####......##.#.#.#...####.##.###...##.##.#.....#.##.##.#.##.
.#..#.##....#.#.##.....####..#..#.###.##.##...##......#..#####.#.#.#..###...##....####..##..#.##....####.#.##.#.#####..##.######.##....######.##..#....#.#.#.###.#..#.###.###.##........#...###..#..#.#.##.##...##.#.##..###..#.#...##.##..######.#.##..#.##.##.#.###..#..#..###.#..###.##...###.
###..###..##....#...###.#.#..##.#......#..##.####..##..##...#.##....#..###..#..##.#..#...#.#.#..##....###.#.....#.#####....#.#.##..#.#.#....#.#..###.#.#...##..##.#..##.....###.#.....#..#.##.###.....#....##.......#####.#..#...##...#..####.#....####..##.####.##.##.#..#.##........#...#.##...
##..#.##.....#......##..#...###....#.#.##..###.#...#.#...#.#..#.###.#.#.#.###.#....#.####.#....#.#.####...##.##.###.#..#...#..##..#.#....###.#####..#.#..#....##.#####..#.#.#....##..#...#.####.#..###..#.#.####.##..#.##....#.#..#.######.###.###########..#.####.#.#..#....#...###.#..#.....#..
..##.##.######...#.#...#...####.#.##..##.##...#..#.#...........########..#.###....#.#.##.......###.#....##.##...######.#######.#####.#.#.##.#....#.##.#..##....#..###.###..##..#..##..#.#.####..#...###.##.#..#.#..#....#..#.#.....####.###..#...##.#..###..####..##...#.###....###..###...###.#.
..##.#.##...#.#..###.....######..####.#.##.#....#.##.##.####.#.#####.#.#####.##.#..###.##.##..#.####.#..#....#...#.###...#.###.###....#.....##.#####.#.#..#.###.#.#.##..#..#..###.##..#.####.#.##.....###.###..##..#.##...#.#...#.....##.###......##.....##..###.#..##..#.#.#......###....##..#..
#..######....#..##.###...####..#.##..#...####.##.##.#.##########.#..##..####...##..#.#.###..#.###.###.#.#.#.##...######..#..#...##..#...#####.##.##############..##..##...#.....#...###..####..###...#.#....####...####.....#.#.##.#.#.######.###.#.#.###..##..#..#.###..##.#....##...###.#####..
#.#.##....#.##....#...#.#.#.#..#.####.#....###....#.#..###.##..#.######..#.##.#..###...##.####.##..#######.##..##.##.#.#.####.#..#...#.#.#.#.##....########.#.##..........#...#.##..##..#...#..##..#..###.###.#.##.###.#.#......##.##.#.#...#######.#..##...###..#..##.####...#.#.#######.#####..
.###.###.##.#.##.#.#..##..#..###.#.#..#..###...###...#..#....##...#..#...##...##.#.#.####.#.##.#.###..#..#......####...###..#.....#.#..#..##.####.....#..#...#####..#..#...###.#..#.##......##..##..#.....#.###..#......#####..#.#.#.#...#######.#.###.##.####......#..####..##.#.....#######.#..
.###.##..#...#.#.#.##.##.#..#.###..#.#..#.#.#..##....#.#####....##..#.#...######.#....##..#.##.#####.#.#.##.....#.##..###.######..#.#.###.#....#..#.#....#####..##...##.#####.##..#..#.....###..#.##.#.#####.#..###..#####..#..##...###.....#.#..#...#.#####.#.#.##....#..####..##.#..#..####.#..
##......#######..##.#...###..######.###.#...##.######..#...#.#....#...###..#.#..###.##..#...##..####..#....#..#.##.###.###.#..##..###.#.#.##.###.#.#.#....#..##.........#####.##.####.#.......#####..##.##.#####...#####.#.#...##.###.#.###.####.##..#......#..##..###....##..#.#.#.......##.##.#
.#.##.##.....###..#.##.#########..#.##.##.#.##.####.#...##.######.#...##.##.#.......#.##...#..#.##..#....#####.#####.#.#....##..#.##.##.#....#.#.###.##.#......#.##.#.#...#.#.#.#.####.###.######.....#.###......###.#####.#..###.###.##.#####..#.#.#....##.##.#.###.#..#...###......#.##.....###
##...###...######.#..##.....###..###..##.#..#####..#..#..##.#.###..#.#.#.##...#...#.#.#...#.#...##...#.#.###.#..##..##.##..#...##..#..#...###..##..###.#..#.###...###.#.####.##.####.####.#..#####.#...#####..#..#..##.....#.#..#.#####..#...#.#...#.#.########.#.##......##.##...##...#..#.#....
.#.#.#####..#..###.##.#..#.######..#..#..#.###....####.##.##.##...##.#.....####.##..#..#...####.###..#..#.#..#..##.###.###...#.#...#.##..#.##..##..#.#..##...##...#...#...#.#..#..#.#......##.....###.#.##....#.#####.##...#...#####.###.####....#.####.##.....#.#..####.#...##.#.#.##....##.###.
.##.###..##...#...###...#..#.##.#..#.#.###..###..#..###.#....###.#..#####..#.###..#.###....##...##.##....##.....##..####.##..##.####.#....#..####.###.....#..#.#.#..#.###.##.....###########.#.#....####.##.##...#...#.....#..#.#.####.#...#.#.##.##.#...#.####.....#.#.##.#.###.###.......##.##.
#..####....#####.#.#.##...#....#...#.#....#.#.#......###..#..#...#.....#.#..#.#######.#.#...##...##..#..#..####.##.#####.###.####.##....####...##.#.#.#..###...##..#####....##.#..#..#####.#....#...#####..##.#.....#.#####..#.##..##.#....###.######..######.#..#####.####...#.#######.#..#.###.
.#.##.###...###..#####.#.#..#......###.##.#..#.##.#####.#..#.....#.#..##...#....#.#.#.#.##..#.####..##.#.##...##.##.#.#.#.##....###.#....###.##.##....##...#...####..####.#.##.##...######.#..#.###.##.####.#########..#..##.###.#####...##.....##...####...#..#..###.##..##.##..##.#..#...#...#.
###........#.#...##.#.##.##.#..###.#..#####..##...#...##.#..##########.#.##.####...#.#.#.#....##.##...##..##...#.#.#######....#.#.##.#####.#....#.##..#...#..###.##..####.##..#..#.#..##.##..........#...##...###.###.#...###.#.###.#######.##...##...#..#.#..#...###...####.#.###.#.........####
###.....#.#.###.#.#.#...##..##..#.#...####....####...#.#.###..#..#.#.#.###...##...#.##..#..##.#.###.###.####.###....#.#...#.##.#...#.#.###.##...###.#.###.##..##.#.##..##..##.#....#.####..#.#...###..#...#.###.#.###.#...#..###.#.#...##..####.#...#.#..#.####.....###..#....#....#....#...##.#.
.#.##.###.###.#.#.##.####.##.###..##.#..#.#.#....#.###.##.##......##...##.##.#..###.#..####.#......#.#...####...##.#..#####..###.###......#.#.#.#...#.##..####.#.#.#...#.#..#............##.###...#.#..#..#.##.#.#..#.....#.#.....#...##..##.####..#.###.#######.##..##.##..##...#..#..####..#.##
.#..##.##.#.##..##.##.#.#.#.##..#.#.###.#.####...######.#.#...###.#..########..###.####....###.###.#..##..###...##.##.#.#.#..#####..###.##..###..#..####.#....#.#.#..#....#####.....#######...#.#.#..#.##.#..##.###.#..###..##.###.##...#.#####..#..#.#.#......##..#.#.###.#####...####.###...##.
.#.##.#.#..#.#####...#.##..#...##.#####.#.##.##........##..#..##.#####..#..##.#.#..####.#..#..#.#.#.###.#.####.#.##.......######...##.#..##...#..#.#.#....###.#.#.##..#.#.#.#......#.##..###.##...#.#...######...#.#.#...###...####.#.##########..####..##...##..##.#.#.......#####.##.##...#.##.
.##.#...##.###.#...##.#####...#.##..#..#####..#.##..#..###.#.#.####.#...#.#..##..#.#....#..##.###.#..#..#..#.#....#.#.##..####.#...#.##.####.##.##..#..###....#..#####.#..#.#.##..##.....##.#.#..###...##.#.##...#.##..#.####.#.##.###.#..#.###...#..#..###.#...#..#.##..#..#####.##..#...#####.#
##.#....#.#####.#.#...###...#.###...###.####..##.#...#.....#..#.######.#.#...###.#...##.....####.##.#.....##.###.##..#.#..#.#.##.#.#...#####.....#.#.#..#.##...###.#.#.#.##.#.##..#........##.#.#..##....######.....##.###.###.#..##..##.##.##.#..###...#####.....#.##.#.#...#.####.##.##.##....#
###....#.#..#.##......#.....#.#.#..#...###....#..##.#.###.#.#.##..###..###.##....##...#...#.###....###.##..#...#.#.#.......#..#.##.##.....#..#.##...#.##.#.#.#..###..#...#.#..#......#...#..####..#.##.....#...##.#.##....#.........####..#..###.#......#....#..#.#..#...#.#.#..#.#..#.##..##.###
.##.#..#...###...#...#####.####...##.###...###.##.........##....##.#..###..##..#..###.#...##.##.....##......###..#.##.####.########.##.......#..####.####..#.#####...#.##.#..#.#.####.###.#.#...#...######.##.#.##.#..#..#.#..#.#.##..##.##.#..#..##.#..##...###..#.##..###...##..#.##...#...#...
##.##...#.#.#.#....#.####.#####.###..#.######.##.#.###..########.....####..###..#...#.#.###.#.#.#.#..#..##...##...#.#.#.#...##.#...###...#.#.####.#######..##.###..#......##....###.###.####..#.###.##.####...##...#.#.#.###..##..###.####....####..###..#..#.###....###..#.#.###.#.###.##..#.#..
..#..#####........#####..##.##....#.##.#.##.#.#..###.#.....#.......###....####...#.##..#.##..#.##.####..#....#..##..##.........#...###...#.#.###........#####.##..##.##..##..#.#..####.....###...#####.###..#..#.##.##.#####...#....#.#.#.#.##.######..##.##.###..##.###...##....######...####...
.......##.#..###.##.######...#...#.#..#.....#.##########..#####.#.#.#.##.#.#.#....#...#.#.....##.##...##...#.#..#.....#.##...###..####...##.##.####.#..#.#..#..#..#....##.##.....#..##.##..##....#.#..#.#..##......#..##.##.##.#.#..#...#.#.##..#.#.####..##.##..#.####.######.#...#.#.##.####...
.##.#.....##.####.##....#..#.#.##.#.##.#...#......#...###.##..##.....##..#....##...###......#######...#.##.#..#...#...#...#..#.#.#.#...#......##......###.#..#..###.#.###.######.###..##.##.#............#..####..#....###..#.##.#####.#...##..##......#..#.....#..###.#.##.######.....#.####.###
######..#.#.######.####.....#...#.#.##..###.###..#..##..##.......##..####....##..##.#.#.#....###.##..#..##.####.....#..##.#.###..##.#..#..###.#..#.##.#.##..#..###.#.##..####.#.#...##.##.#.##.##.#.....##.#...#..#.#.#..#....#.#.##.#######.##.#.....##.#.###.###..#.#.##.##...##.#..#.##...#..#
..####.###.#.##.#######..#.##.####..#..##.##..#.##...###..#...#.###..####..#..#..###..##.#..##..#.#..#######....###..##.##...#.#.....##..######...###...#.##.##.#........#.#.#...#.#..##...#..#.###..##...#.##......###..#...#######.###...####...#.##...###.###.#..##.#...#.###..#.#....#....##.
##..######..##.#.#..##.##.###...##.#.##.#..#..##.####.##..#...#.##..#..#.#.#...###.###.####...###.###.#..###.#.##.#####...###..##.##..###.#..#....##..#.##.###..#...#..#..##.#...###.####.##...###...#...##..####.#.....#.#...#.###..##..##....#..#.##...######.#.#....#######.##...#.####...#...
.###..#.#####...##.##.#.#.#...#....##.####...#...#...#.###.##.#..###...###.#....###..#..#####.###......#.#.#..##...####....#.##.###..#.#.#..#........##.#.###...#.####..#..###....##..#..###..#.#.##.#..#..##..##..######.####.####.###....#..#.#.#.#.###...#######...##....#####..###..##.#.####
#.#..##..###.##.......###..##..#.#.....#..######.##.#.#.#...#..##.##..#..#.#.##..###...##...####.#######...##..#..###.##.##.###..###...#######.#.#.####.###..#.#...##..#.##..#.##....##.#...###...##..#..##...##.#.##...#.########.##..#.##.#.##.####.###.#.##...#.########.##..##...#.####.#...#
#..##..#.#.##..#.###...##..#...######.......##.####.#.......###.#.#..######...#.#.....#...#.#.###..####.#..###.#.###.###..#.#.###.#.###...#.#..#...#...#######......###.##.######.##.####...#..##...#..##.#....##...###.####...#.#.#..##.#.#####.#####.####.#..#.##..#.#.##.#.#..#.##.##..#.##..#
...##.#.#####....#.##....##.#..##.###...###.####....##.###.#....##..#..#.##..###..##..###.#####.......###..#.......##...##..#.##.#####.....####....###.#..####.#...#.#..#....#####...#...##..###.#...#.###.##..###.###..######...#..##..#.#..#..#..#.#..#.###.#...##.....#...##..#.#...#......#..
##.#.#.#...##....##..#..##..##...###.......##.####.#####...###.#.#####.##.#.##.#..#..#...#.#.#...#.....#........###...##...#...#####.#....#.#..#.##..#.##.#.##.#...#.#....#...#.##.#.##.###.##.##..#.#..####.#.###.#.##..#.##.####..#..##..#..##.#...#.#...##...#.#...#..####.##.#.#.##...#.#...#
##..#...#.##.....##.#...#.#.#######.##.#..###..###.###.####...####...##.#..###.###.##..####.....#.#..#...##..#...##.#.##.......#..#####..##...##.#.#....##...###...#..###...#.###.....####....#..##..#...#.####..#..##.##.#.#.##.....##..##...####.#..##..##.#.#......#.#....##...##.#.....#####.
.#..#.#.....##.##..#.##...###..#.#####.#####..#...#..#.#.########.###...###...##.#..##.#...#.#..#.#.##.####...#.###.#...####........#..#.#.####.#..##.#####..###.#.##..#...#.#####.###.#..###.#.#...##..#####.....##.#.#.#.#.####..#.##..##..#.#...###.#...##.######...#.#..##.#...#.#####..#..#.
##.##.#...#####.##..##.##....#..#....##.##..##.#.......#.##..########.##.####.#..##.#.##.#.##..####.##...####.###....##..##..#.##.#..#..#####.#...#..###...##.#..##....#.#####.###.#####..###.#....##..#.#...##.#.#......##...#.#.###...###.###.##..##.###.#.###.#...##.##..####.##.####.#.#..#..
#..##..#..##...######....##..###.####....#..#...####.##.....#####....##......###..#.#..#.#...##...####.#.#.#.#.#..#..##..#.###...#....#..##.##....#.####.#####..####...##.###....#...###.....#.#.####....#.##...#..#...#....##.#...#####..#..###..#...#..######...#........#.##.###.##.#...#.###.
...##.###.###.#..#..##.#..#.##.#.#...#...#.#.#...##..###..#.#.##.##..#.####...#########..#.##..#.#.#.#.#.#...###....#.#####.....#...####...###..#...###.####.#.#.#..##.###.#.#.##.####...##.##..###...##..#..#.##..###..#.##.##.##....#.#...#.#....##.###..#..#..##..##.#.#..######...#####...#..
.#...#..##.....##.####..#.#...#####....##.##.##.##.#.#.#...##....###..#..#...#.#...#...###..#...#.#.#.##.#...#####..####.##....#....#.#...#.#.###......#..##...#..#.#.#...##..##.##...#.#.#....#..#..####.#####...#.##.#..##....#.##.##....###.#...#.##..#.##.##.....#..###...##..##....##.#####.
..#..#.#..#####...##..##.##.#.#.#.#.#......##...######....#...###.#.##.#####.#.#..##.#..###.#.....#..#####...##...#..#.##.#.###.#....#.##.#..###.....#.#..####.#..#...#.###.#.####....#####.#..####....##...#...#.###....#.#.#..#.#.....##....#.#.#.##..#...#.#....#..##.###..#.....#..##..#.....
######...#####.###..#.##...##.#.....####.####..#....####.#..##..#.###....##.##...#.#.##.#....#####...#.###........##..#..#..#####.##.###...##.#..##.#..##..#..#..........###.##.##..###.##.#.#.#......###..#...#..#..#.#..##..#...#.##......#..#.##.#.########.##.##.##.#...#....#..##.####..#...
.#.#.#.#.###...##..###.....##....##.#####..##...#........###.#..##.###..#.#.##.##....##.##...##.##.####.##.###...##...#..#.....#...#..#.######.......####.#.#.#.#.....##...#...#...#.##..###.####.##.####.#.##....###....####...###...#...##......#.#...#.#.....##..#..#......##.###....#..#..###
##..##.....#.#...##...##.....#.#..##.#.#######.#..#..#...###.#.....##..#.###..##..###..#..#.#.###..##.#.####.#.#.#.#.....##.#####...#..#.####.###.##..#.##..####.........#####....#.######.#...###.#..####.##..#...#.##.#..##.#.####..#.##.#.#.####..#...#.....##.##...##.#..#..#.###.........##.
#.###.....###.....#..#....#...##...##.#...#.#.#.....##..#.###.#####.##..#.#..###.##....#####.#.###....##...#.##.#....##.###.#.##.#.##.#.######.....##..#..##...#....##..###.##..##.#.##.#.##..###.#.##.####..####..#..#.#.........##...#..#######...#.##.###..#.#..#......#######..#..#######....
##.##.#...###......##.#.#..#.##.#..##......######..#####.#.#..####.#..##.#.######.....#..###.##.#...####.#.##.....####.#.#...#.#...#.##......#.#.....#.#.......#.###.#.####.#.##..#.#.#.#.#..#.##.#.......#.###.#.######.###.#.##.##.#.#.##.#.#...###....##..#.#.#..#.#.#.#..#...#....##.#..#..##
....#.#....#######.#..#..####...####.####..##.#.##.#.####.#..##.#.#.##....###..#####.#...##.#.####.####....##.#.#.#.####..#..#..#.....#.###.....##.#..#....##.......#...#.##.##.#.##.#...##.#..#.#.#.#...####.#.##.#.#.#..##.###.##.#####.##.#.#..#.######.######..#..#####...#...###.#......##.#
...#.##..##....#.#..####.#.##.##..#.####.#..##.###.#.#####..#.#####.#..#.#..##.#.........####..####.#.##..##...#...##.##..#.##.#.###.......###.###.#...#.##..##.##..#...#.#..#.#########.##.#####..##.#.#.####.##.#.##.#.####.###..##.####......#####.#.#.#.#####.#...#.###.##.#....##.#####.##.#
.##.#####......####...##.##......####.........#...#..#..#.##.........##.#.#...##...#..###.#####.#####.#.#..###..######..##.#...#####.##.#.....##...#.#..###..######.....##.####..#..######.#.#..#..###.....#.#####..########..###.###.##..#..#..###.#.#.#...#....#.#.##.#...#...#.##..##..#...##.
.##.......#..#.#..#..###.#..###.###..##.##.#..##.....###..#..#...#....#.######..#..#.####.#####..##.####.#....#.#..###...##.#..###.#.#.##...########..#...#.........#...#.##..####..##.###.#.#.##.#####.#..######..#.#.#.##....#.####....##.##..######..#.#.#..#.#.#.#..######..#######.##...##.#
.#...#.##......###.####..####..#.##......#...#....###.##..#.......#..#...........#..#.#.#.##..#..##...#..#..##..#.#.#.##.##.#####.#....#....#...#.###.#..##.....##.#.....#..#.#..##.#.####..#.#.##......##.#......##.#####..##.##.....##...#.#.##.##.##..#.#.#.####.##.#..##..####..####.#..##.#.
#...####.####......##.#.##..#####.#..#.#.##.##.###.#....#..##..#.####.##.....####.#.##.#####....#.#.#.#.#.#.##..#.####.#.#.####...#....##...#.#...####....##.##.#...##.#####.#####.#......#...###..##.##...##.####....#####...#..##..#.#.#...##..#...####....##..######.#....##.#.#.#..##....#...
....###..##.....#.##.##..##.....#.##.####..#..#####.#.##.#.##......#######..#...##.###.....##..#####.##.#.#.#.###...#..##..###...#.#.###..#..#..##....##..##..#.#.######.#...#.##.#.#.#.#.#..####.#.#.#####.####..#..#..##..##...##....###..####.###.##...#....##.##.#...#..#....#..#.##..###.#..
.##...#.#....###.#....###..#..########.#...##.##..##...###..#...#...#.##..#####..##.#.#.###.##.#..##.####...####.##.#####.###..#.#.#.####...##.###.#.......#.#.#..#........#.#...###.####.#.#..#.##...##.#.#.#.#...###......#...###.##.#####.#...######...#.#..###..####..##.....###.#..###.#####
.......#.#....#...#......####.###.###.#.##.#..#.#...###.##.###.######.#..#.....##.#.#.#.#..#.###....#.#.##.#.###.#....#...#..##...####.#.##.#.....###.####.####.##.#...####.#..##.##......##.##.#######..#.#..#..#.##....#......###....#..#..##..#..#.#..#.##.....###..####.###.#.#.#.##...#.#..#
#.######..##..#.#....##.#.##..##....###..###..#..#..##..####.#####.#####...##.#.....##.#.##.#.##..#.###..#.#......##.#########.#...###.#..######.#.##..#..#######..##.#.##....#.#...###..#.##...#.#...###..###..#######..#.....##..#...####.####.##.#.###..#.##.##.#.##########..#..###..#.##..#.
####.###.##..##...##..####..##....##..####.##.#.##.#.##..#....#.##..#.#...###.#.#...##...#.#.#.#..#.##..#....###..#.###.#...##.##...##.....#..##..#.#.###...####.....##...##..##....#..#.##.....####.#....##.#...#.##..###.###.....##.#........##.####....#.#######.#.#.##.##..#.#.###..####.#...
##.#...##.##..########.....##.##.##.##...#.####.####..####.#.##.#..#....#..######.###.###..#.##.#.#..##...##.#....#..#.##..##.##..##..###.##.####....##.##...#.#.###..#....#.#...###.#..##...###.#.#..#.###.#.....##..#.##..##........###..##.##.#.##..#.#..#..##.#.#.#.###..###..##..#.##.##.##.
#.#######.#######...#.##...#..#...##########..##......###.#.#####..####.#.##.##..###...##.#.#.#..######.#.###..#..#.###.###...####...#.##.#.#.#.######...##..#####..##......####..#...###...#..#..#.##...#...###.##.#..#..##.####..#..#.##...##.....#.#.#.#.#...#.#.###.#.#.#.####.#####.#.#.###.
...#...#..###.#.#####.#.#.....#....#....############..###.###.#..#.#.#......#.#...#.#.##......#..#....######....#...#..#..##.#.#...##..#..##.##......##..###....##.#..#..#.#.###...##.#.##.######..#..##..####..#.###.##.##.##..####.##....#..#...##.##.#....#.###..#.##..#.......#.#.#....##..#.
#.#.###.#.#.#.###.....#..#####.###..#.##.###.##..#.##.#.........###...##.#.#...#####.##...#.#.#.......#####.#.....#.#.##.##....####..#..#.##..####.#.##.##...#.#..#..##.....##.#....#.#######...##.......#.##.#..##...#.........#####.####.#.#..#.....####....#.###.####..#....#..##..#.#.#.##.##
.###.#.#..###.#.####.#...#.#.#..#.#..##.#.#....##...#...#.#.........##..#.#.###...#.#....#.#..#..######...##.#.#..##.###.#.###.##..#.........#..#..####.####..#...#.#...####.##.##.......#.##.##.#.#...#.#..##.##.##..#.####.###.##..##.#####...#.....##.....#...#...#.#.###....##.#.#.#..##.##.#
#..##...#.#.#.##.##.#.#...#.#####.#..###..............#.##.#..##.##.#..#.#.#...#.#..#.#.#.#.########.#...#.#.###.##...#.#.....###...####...#.#...###.#.##.#####...##.#.##.##..#....##....#.##.###...#.....##....##.....#.##.###..##......#......###..###.#.##.###.#.##...#..##.#...#.##.#..#.....
..#.#####...##.#.###.###.###...#.###..#.#.##..#..####...#.#.#.#.####..#####.##..####......#..##.##.#.##.#.#.########...##.######...###.#..#.##......#.###..#.##.#..###...###..#.##.#.##..###...####..######.###.....#.....###.........#.####..#.##......##..#.##..#######.##..#......#.#.###...##
##..#.##...#####..########.##...##...#.####.##..#..###.#####.##..###.#.###....##......#########....#.##.#....#.#.##.#...#...###....#..##....###.###.#####..###.......#..#.#...#.##.....#.##.####...#.###..##.#.#..#.###.#.##...##.##..#...##.#.##..##.###.#....#..##.#..#.#.......####...###.#.##
#..#.##.#...#####.#.#.###..#...###.#####.#.#.#...#.#...#.#.##..#.#.##..#.####........#..##..#......##.#...#.#####.....##....#..#..#.##.####.##..#.##.##...#...#..###...#.#.#.##.#..#.#.########..##..#####.#.####.#.#.##.#.......#...#.##.##.#.###.###..###..#..#..#......#..###.##.#....#.#..##.
.#..##.#...#..#..####.#.#.#.##...#..#.#.#.#.#...##.#.##..###...##....####.##.#...##.##...###.....#......#.##..##...#......#.####.##.##..##.#..##...##...#..###.#..##.##...#.#..#....##..##...#..#########.#...####.##...###..#.#...###.##.##...#.#..#..##...##.#.##.#..#..##.#.##.##.#.#####.#...
###..###.##..#....#..##.#...##.###.#..#....##.##.####.#...#...#..####.#.###.#..##...#...####..#....###.#####..#..##...#.#..####.###.#.#..#...#..#.....##.##.#.##.#.#.#..#..##..#..#..##.###......##..###.#.##.#..#......#..##.#....#####.#####....#.##..####.#...###.#..##....#.###.#.#####..#.##
####..#.########...#..####.###...#...#..######.##.#######...#.#.###..##.#.##....####.#..######..#...#.###...##.###.######..##.###..#.####..###....######.#....####...#..##....##.#.##..#....###.#####.####...#.#.#.#.#.###.#.##.#..#.#..#.###.#..#..#.####..##...#.#..#..##.....#.#..###.##......
..###.##.#.##.##....########..##....##..#.............#.##..#..#....##....#..#..##.....##.#..##..#.##................##.#...#...#.##.##.###.#....##...##.##.####...##.#...........#..##.#.#.#..#####.##.#......##..###.#.#...##.#####..#...##.#.#....#.##.#....#...######.##..#.###..##..#.##.#.#
##..#####........###.##....##.##.#.#.....#.....#.#.###.##..#.##.##.##.###.##.#..#.#########......####...#.#.######.#...##.#.......#.#...###...#####.#..#..#...#.#.##...#..#..#######..#.....###..##.######.#....##..######...#...###........###.#####.##.....##..#.#...#..######.#..###...##...#.
#.#.#.#..##...###..##..#..##.#.#.###..##...##..##.##...##..##..#.....##..#.###.####..##......###..##.#..#...#.##....###.#####.#.#.#..#..#.#..####.#....#.#..##..#.#....###.#.#.##..#.#####.###...##...#.#.##...###...##....###..###.#..#.#.#.#..###..##.##.#....##.#.#.#.#.....##.#..###.#.##....
###.#......#...##..##..#......#.##.......#..#...##.#.#.##..##..#.#.#.#.##..##...#.##.###..#####..###..#####.####.##.####.###.#.#.#.##..##.#.##....#..##.#..#...###...####.#.##..##....###...##..#..#...#..#.##.######..###...#..##.##..##...###....###..#...#..#.##.#..#####.###..##.##..#...####
..###.#..####....##...##.##...####.#.#..#.....#....##..#.##.####.....#.##..###.#.#####.#.##..#.#..##.#.##..#...##.....#.#.##..#.#.........#.#...##.#.....#..###...#.#.#######.....#....####..#...#...#.#.###.#.###.###.##........##..##..#.##..#..#..##....#####.#..###.#..##.##....#..#....####.
#..##...##..#...#.#..##.....#....###..###.###.#...#..#.####..######.#.#....#.####.##.#..##...##.#......###.#...#...#...#.#...##.##.###..##.##..#####..#.##..#...###...#####...#....#.##.###...##.##.#.#.#.###..#..##.##..#.#..###.######..#####...#..##.#.###...#.##.#.###..##..#.....##.#.#.####
..#..###.####..##....##..##....#.#.....##..#.#.##......#.#.###.##...##..##........##.#..#....###..#.#.#..#..##.#..#...##.....####...#..##.#..######..#......##........##.#....#..###...#.########.##.......#...#####..#.##..#.####.####..####........#.###..#.##.....###.###.###.#...#..##.#....#
.####..##.##..#.##.##.###..#.....#..###....##....#.##..##..#..#.##..##....#..##.###.#####..#.##.#..##.##...###.#.......#.##...##.#..##..##.##...###..###.......#.###...###....#.#.#.#.#.##.#..#.####..#....#..##.#....#..###...#.###..#.##.....##.....#..###.#.#.###....#.#.###.......##.##.##...
.##...##...##..#.##..###.###.#.#.....##.###...##.#.##.#..#...###.#.######...#..#.#.##....#.#....##......###....##...##.#.##.##.#.....##...#...##.#.######....#.#####....########.#..#.#.#.#...#....#.#.##.###.#..##.###.##...#..##.#.####...###.##.#####.#####.#..##....######....#.#..###...#..#
#.###..#..###..####.#..#.####.###.#.##.##.#.###.#.#...#.##...#..#.##..#.#..#.#.#.#########...#..#...#...#...#.#.##.#....#....#...#.#......#....###.#..##.#########.#..####...#######..##.#.#..##...#....####......#####...#.....###....#...##.#..###..#.####..##.#.####...#..##..####.....#.....#
#...#.###.##.###.#.#...#......#.#####..........#.#..##...##.##.#....###.#...##.##.#.###.##.###.#.#....###..#.####.##.#.##.......##..##..#...#...#.###.###..##...####.......#####.#...#..#.###......#..#..#.#.#....#...######.#..####.##...#.#.#.#...##..#..##..#.####.#..##...#.#.###.##.#.##....
#.######.#....#..#..###.....##.##.#.......##..##.####.##...#..##...#.#...##.##..###.########.##..##...##..##.#.#.##.....####.###.#####..#..#...##.#.##.#.#.#.##....#######..#...#....##.####..#..##..#######...#....#.#.#..#...#.....##.#.###.####...#..###.#####..#.###.#..#.#..#.#..##..###....
..#####.####....#.##.#.##..#####.#...#..##..#.##.#.##.#..#....#.#.#.#######....#.#..#..#.#......##.....#...#..#..#.#..###.###.#....#.#....#.....#.###..#.#.#.#.######..######.##.#.##.####.##.###...#.#...#..#####.#####..#..#.#...#.###.#.#.##.....##....#....##.##..#..##.#.###.##.#..#####....
.....#....#...#.#.....#.#########.##.#.#.###.####..#.#...#.###..###...##.###.....#.#.#.##.##.#.#.#...##..##.....#####.##..####.#.##.###.#######..#.######..#..#.##..#...#.###.#...##..#.##.##########....#.##.#..#.#.#...#....##......#..##..####....#....#..#.##.###..#...######..##....###.#...
#....#.#..##.#.#..###.##.#...#.....###..#..#....##.#..#.#..##....###...#.##..#...#.#####..##.#..##....##....#...#...#.#.........###.#...#...#.###.###..#.#..#.##.......#.#...#.#####..#.#......#...###....##...#.#.......#.......##..#...#.....##.#.##.#.#.##.#.##.#.....#.##.####.....##.#..#.##

14 276 223 1 2
#.##..###.#......#........#..#......##...#.#..#....#.#.#...#..#.#.#..##..###.....#...#.##....#..#.###......##....#.#..##.#............###.#..#..#.#.##.#.#.#..#..#.#...#.........#.#.........##...##...#.#.........#.#...#.#..#.#..#####.###.#.#...#.#.#.##.#..#......#.#..####..##.
...##....#..#..##.#.#.....#..#........####..#....#..#...#.#...#.....#...#.##...#..#..##......#..#....#.#.#......#.###.#..#.........#...##.#.......#.###.....#..#..#...#.#..#.#.....##.........#.#...#..###.#.##......#.#..#....#....#.......#..#......##..#........#......##..#..##.
....##....#.#.#...#.###..#....#..#.#..##......####.#.##.......###...##....#.##....#..##...##..#..#.#.....##.#.#....##..#.........#.#.#....#..##..#....#.....#.##..##.##.#.....##................#...###...#..###..#.#.#...##....#.....#.......#####.......#.###..#....####.....#..##
.##..#.....#.#...........#..#.#.#.#.#.....#.#....#.#.#.#..#..#.#.#......##..###..##...#...#.##.#...........#..#..##........#...#..#.#.#.........#..#.#............##...##.#.#.#.#.#.#..........#.#..#...#....#...#....#..#..#........#..........#......##.....#...#.........#.....##
.......##.........#...##....#...#.......##.#...##.....#.#....#.#....#...#.##.#...#...##..#...#.#.##...................#...#....##.#......#.#.#.#..#..#..#..####..#....#..###........####....#...#..#..#..#......#..#......##..#......#.....##..##....#....#..#......#...#...##.#.#..
#.#...#.##...##...#..#....#....#.###..#...........#.....##.......#...#......#.#.#.......#...##.........#..........#....###...##.....#....#........#.....#.#...#......####..####...##.##..#.##..#..#..#.....#.##.##..#.#....####..##.##.#.#..#....#.###.#.##...###.....##...###.#.#..
......##......#......#.###.#..##....#....#.............##.#.#.###.#.###.##.....#..#........#.....##....###....#.......#.#..#......###.#..##.....##..#..###.....#####..#.#...#..#......#..#..#...#..#...#......#........#....#...####..##...#..##..##.....###.......####......###.#..
.##....#...#....#.....#.##...#.....#..#.............#.###....#......#..#.##...##..##..##...#.....##......####...##...........#..#......#.....##.#...#....#.....###..##.......##.##...##...#...#...###.#.#....#...##..##.#.###....##...##......##.#..#.#####.##.#.#..#......#.#.#....
..#..##.#..##...#.#.#...#.....##.#.##..##......#..#..##...####...#.##.....#...#..#.#.#.##...#.##..#.....#.#.#..##..#.##..#.......#..#...#......##....##..............#.####..#.#.#...#..##....###..#....#.#..#.#.###..#......#.#.###.#.....#........##.##...#..#....##....##...#..#.
...#.....##..##...###...............#.....##.#..#..#...#.#...##.##.##.#..#.....#.......##.....#.###.##.###..#.###.......#.....##...##.##.#......#.##......##...#.#.....#....##......##.###.##.....#.........#...#..#......#....#...#.##...#.##.......##.##.##.###.##.#####.#...#....
...#.##.#...#.##...........#...#....#.########..#..####....##..##......#....##..##.#....##.#...#......#.......#..##...#...#....#.....#.##.##.#.##......#...#.........#.......#..#...##.##.....#.#...##.......#...##....##......#.....##...##....#....##.#...#.#.#..#.#.###..#.###.#.
##....#.#...##........##.##..#.#..#.#.#..#......#...#......#....#.#..##..#.........#.#.............#.#.....##....#.....................#####....#.#.#.#...##.#....#...#......#....#.#..#....##.#.#.#..##.#....#..#...##.#...#.......#..#..##..........#..##......##..#..#...#.#....#
.#....#..#..###...##..##..#..##.....#..#..#.#.#....##.........#####..............#.....#.....#.#.#..##....#...##....#......##..##.#.......#.....#.##......#.#.#.......##..#.#.......#..#............##..#..#.###.....#.#..#...##.........#.#..#....##.##...##...#.#..##...##.##..###
.#.........#....#.#.####...#......#...#...#..#.##...#....####...##..###.####...##.....#..###...##.#....##.......#.....#....##.##..#...#..........##....#..........#.##...#.#..#...##...#..#....#.........#.##..#.....#..........###.##..#.#.#...#..#.#.......#...#.#.#...##..#......
.....##.#...#......#.#.#.#............#.....##.#....#...##....#...##..##....#.#....##..#..#.####.##.#....###....##..##....#....##.....#......###.##.#..###...#..#.......##...#.......#..##...#..#..####..#.#..##..#..#.#.......#..#..#..##...#.####..##....##..#...#......##.#...##.
...#...##........##.##......#......#...#.##......##..#...#...........#.......#.#...##......#..#...#...##..........#..#.#.#.....##...#..##.#######..#.#.####.#..................##.#...##.#..##...........#..#...#.....#..##.....#.#.####.#..#....#..#..#....##....#........#...#.#..
.##...#.#........##............#.#...##.##....##..#..#.#.....##.#.#.###.....#...##.#....#...#.##..##..#...#..##..#...#.........##..#....#.....#.#..#.##..#.....#.#...#.###...###..##..#...............#....#.#............#...##....#..#...............#.#..##...#.#..##.......#.##.
###......###.##.....##..#...##.....#......#.#.###.....#.#......##...##..#...#..#........#.#...#...###..#....##.#......#....#.###...##..#...#...#.......#..#..##....###.....##..##...#........#...#....##.....#.......##..#.....#..####.......#.#..##........##....#....###...#.#....
...#..##......#....#.#....##..##......#..##.#..#.....##....#....#....#..#......#...........##.#..##.##.##...#.........#...#.#......#.#.....##...##.........#...##.##.#......##............#.....#.#.#..#......##...#.....###.........##.#....#..#.....#.##.##...........#....#..#...
............#.....#..####.#...###....###...####.......#....##..#............#.#..#.....#..##.....#.#....#...#.#...#..#...###.#.#.....#.#..##.#.#.#..###.....#.###...#.......#....#........##.................#....##.......##......#................#.###.....#........#...#..#.##..
#..#.##.######..#....#.#.#.##.#.#..#.##.#..##..##....#.#......#.##...........#.#.#####...#......#.##.#.###.#....##....##.#....##...##.#....##....#..#..##.#....#..#.#.............####.#.#..##.....#...#...#..............#...##.#..###.##.#...#.##.#...#.#.....#.....#.####.....#..
###..#.#.......#..#.#.##.#...#.####.##..#......#.#.#...#.##...#...#...#.#........###..#.....#..#......#.#..##..#...#####....##....#......####.##.......###..#.#...#...#..#.#...##...#.#...#...........#.##..#...#...##........#.##..........#.....##...##...#..###.#.#.....##...##..
......#...#.................##....#.....##.#..#.....##....#.######.#.#......#....#.##..#...##.#.........##.##.......#......#..#....#.#...#...#....##....#...#.......#..##.##.......#......#..#...#..#......#...##....##....##...#.#....#...##...###..#..#....#.#..##....#...........
..#.#..#........#.##...##....#.....#....#...#.#..#..#..#...#...#.....#...#.#.#...#..#...#.#..##..#...##....#.#.##...#..#........##....#...#..#...#...#..#.#..##.#.#.#........##..#.##.##.....####......#..#......#.#.#...#.#.#....#.##..#.......#....#...#.....#...##..#..#.....#...
..##..#.#.#.....#.##..###.##.#..#..#.#....##....#.......#..#.##....##........#...#...###..#......#.##....#...#.#.##....#.....#..#...........#.#...##.#...#.#.#.#..........#.##..#..##....#..#.#...###..##.........#......#.....#.......#....#........##.#.##........#..##..##...##..
##.##.#...#.#......##.#..#...###..#..#####......#.....#...#...#.....#.#......#..##.....##.#.#............###.............#..#.#.......#..#..###.#.#....##.#..###..#.#..#....#........#..###....##...#....###....##....#.........#.#.##...#..###...######....##....#..##...###.......
.####.#....#.#.##...###.##...##.#.#.....#...##.....#..#.##...#.#..##....#.###...###.#.###.#.#..#....#...#.....#.#.#....#...#.#......#.#..#..#.............###..##..##.#..##.#..#.............###.###.###.#.........#.###.#..#.......#...#.#..#.##.#..#####..#......#........###.....
.#..##....#..#.......#.#...#...###....##.##..##.....##...#..####.#.#.......##.....#...#..#.......#..#..#..#.#.#.#......#..#.###.#....#.........#...#....#.##.##..##........##.#...##.##..#....#...#.####..#.#.......#.#..............#...#.#.#...#.....#.##..#..#...#........#..#...
...#.........##........##.....#......#.....#.##....#.#....#...#.##.#...#....#.....#....#...#.#.#.#....#.......#....#.##.#..##.....#..###.#.#......##...#...##....#...#..##.#..#..###...#..#......#..##.###....#..#....####..#.....##.....###.#....#..###..##...##...#....#..#..#..#.
.#..#.......#.##........###.###...#....#...........##........#.##.........#....#.##.##........####.#.......#..#.##...#....#.#.....#...#.........#...#...##....##..#..#....#.#..........#....#.....#..##...#.#...#.#...#....#....#....#.##..#.....#...##.#.......###........#..#.#...
#..##........#....#..................#.##.#.......#...#..#......#...####......#........####........#.....#.##.##....##.##....#...#.#..##.#...#.#..#.#....##.#.#..#....#...#.##..##...##.....#...#..##......#...#...#.........#.#..##....##...............#........###..####....#....
........#...#..#.#.###..#..##..#....#...##...#.##.....#...#.......#..#.#......#.#.#......#.#....#......#..#...#.#.#...........##..#.#....#.#.#.#....#.#......#..........#...#..#...#...##..#..#.....####..#.####.##.#.....#.#....#...#...........#..#...#....#...#......#......####.
.........#.#.#......#...#.#...#.......#.......#.......#....#.#........##.........#....##....#.........#.#.#....#.##..##...##....#..#....##..#..#.....#..#........##..#..#....#............#.#...#.##..##.#..#...#.#....###.#.#.....##.........##.#.....#.##.#.##.....#..##..#..#...#
#..#.......#....#.......#...#..#.#....#..#..#.#...#....#....##..........##..#.......#...##...##..##...##........##.##..#.##...........#..#......###.#.#.....#.##........#.#..#...##..##.#.##..#.#.....##........#.#..#........##.....#.#.####.......###.........#.#....##.##..#.....
......###.#..#..........#.#.#.....#......#..###....#.#...##.#.......#.#...#......#..#...##.#.#..##.#.##.##....#..###...#.......#.......###.##....##.####..##.#.....####..##..#.....#...##.#.#.....#.####.#...#.#..........#.##.##..#....##....#..#.##.....##.#.#...#...#.#..........
#..#...#....##.##..#.#..#...#.###.....#............#.###.##.#............#.....#....#.#.....###...#.........#..##....#.....#.......#..#.#.#...#.....#...####.####.####..#......#.....#.##..###..###..###..#.#...#..#...#.#.#....#....#..###......#.#..##..##.#..#....#...##.....#...
........#.......##....#..##........#.#..#....#..#..#.#.#....#####...#........####...#.....#..#...............#.#..###...###.##...........##.#..#.......#.#.....###..#.....#..##.#..#...#.........#....#....#.#....##.#.##.#...........#.##.#.....##..#.#..........###..#......###...
...##..####.##....#.........#.##......#.#..##.##.......#...........#.###.#...............#...#....##...#..#..###.##.#.#....#####.....#.#..###.#.#...#....#...#........##.#..##.##.......##...###..#....#.#..#.#..#...#...#.#..##.#....#...#.#..#.#.#..#...##..#......#...........#..
.##.......#.......#.#..##....###.#.....###...##..#.....#....#..........##.....#..#.#.............#...#.###.##.#..#...#..#..#.............#......#..##......##....###.##...#.....##.#......#.#..#.#....#...#...##..#.#.##.....##......###.#......#...#...#.#.###..#.##..#..#...###...
..##..##....###.##.#....#.....#.....#...#.#..##...#......##.#....##.....#####.#.....#.#........##......#......#.#...#.##.#..#.#...#.......#....#..#.#.......####..#..#.#...........#....#.#..#.#..##..#...#.......###.....#...###...#.....#....#....#..#.#...#.####.........#.#.#...
.#.#.....#....#..##.............##........#.#......#..##.#.##.#.#........#.##.#.#.#..#..#......#..........#..#....#.#.....#....####.......#.......#.....#...#..##.##...###....#....#..#..#......#.#..#....#..#...........##..##........#...#..##.#...#..#..##.#......#..#........#..
.#..#......#..#........#......##....#...##.#.####...#..##..........####...#..#.#..#.####.......#.##......###...###......#......###....#...#...#....##.....#..........##.#.#.#...#.....##...##...#.#..#.#...##.....#..##.#.#....#..#..#.#.#....#..###..##..#.#..#.......#.....##.##..
##.#.##.#.#..#...#...#.#.#.......#...#......#.#............#.#......#..#.....#.#...#..##.#..#...##..#.......#.#....#......#..#.#....#.##....#.....###...###.........###.#.....#..###.#..##..#...........#...#.#........#..#....#....##......####.#..#.#..#..........#..#........###.
#..#...........###.##.....#.#......#...........#.##.#.#...#..#..#.....###......##.#....#......#...##........#.........##.#.#.#.#......#.........#.#.###.#......##........##.......#..#.....#..##.....#...#.#......#....#...#.###..#..###.##.......#.###.............#...##.##.......
..##.#..#.#......##......###.......#..##.#.#...##..#.##..##.......#.......#......#.#..##....#....#.....#.....#.#.##...##...#.#.#.#..#.#..#...##.#.........#......#..#....#.#.##....#..#..##..#..#...#.....###.##.#.....#.##.##.#..##...#.##....#.###..#....#..#...##.#......##...##.
##..##.....#......##......###........#...#.........#...#..#..#....###.....#.#..#.....#.......#.#.....###.#...##...#...............#........##.#.#..##...#...#..#.....#.....#..........###.#..#.#.#..#..##.#.####....###...#.#..#.#..........#..##.......#.......##.....#....##.#...#
##..#...##..#.#..##.#..........#..##...###...#.#.###.#......#.#.#.###......##....#..#......#.#.#.#..#...#......#.#..###.........#........##.......#.####.#.....###..##...#....#.#..#........#........#..#.....#..#..........#.....#...#..#.#.......#.#........#...##.....#.#..#...#.
....#..####...#........##....#....#...........#.####.##.#..#..#..#...#...#..##.#........##...#...##..#.....#....#.#...###.#....#......#....#..................#..#...###..##.....#.#...#####..#...#..#........##..##...#####....#......##.....##..##....#........#........#.##......
#..#.##...##..#.#...#.##.#....#.#...##...##...#.###.#...#.###..#.....##.#..#..#.#....#....####.#............#.#..#...###.#....#.#..#...#.###...#......#.....#..#.##.#.....##...#.......#...##......#.......#..###.#..#.###..##...###.....####.........#.....#..##.#...#.#..#..#..#..
..###.......#.####..#..###..##.#..#..#....#..#...#.#.....#....#.....##..#..##..........##.#...#.....##...#.#.......#......#.#.##..#.#...#..............#.....#.......#..#..#.....#...........#.....#.#.#....##..#........#...#....#..#..##.#...#..#..#............##.........##.##.#
#...#.##.#..##..#####...###.....#...#...#.........##....##....##....#.........#.#.#.###.#....#..#....##....##.#....#...#..#....#.....#.....#....#........##.#.#.#...........##...#...###..#..##...##....#...#.##...#..#.###.....#.......#.##.#...........#..#.#......#..#....#.#.#..
..#....#....#.#.#......#...##.#......#..#....#..##...#...#.#.........#....#...#.#......#..#..#.#.....#.##..........#....#.....#.......#..........#.........#....##......#...#.#..###.#....#.#.....#......#.#.........#....##....#.#.#...##..........#.#..#..##.##.........#....#..#.
.###.##..#.........##.##..........#..#...#..#...#####.#.#.#..##.....#..#..#.......#..#...#...#...#.#.#......#......#..#....##...#...#......#....#..........#..#.##..##..#..#.......##.#..###.#.....##......#.......##.#........#.........#....##..............#....#.#............#.
..#....###.#.##...#..##.#.#.#.........#..##.....##.##.##......#.#.#.#...#..##.#.#.#.....#..###....#...##.......###..#....##..............#.#......##.....#.##...##...#.#.......#....#.........#........##..#..#.......#..#.#.#.#.........#....#.#....##.#..........###........#.....
#.#.######....##..#....###.#.......#..#.#.......#.....##.##...#####.#..#.#.##..#....#.....#....#.......#####.#...#..#.#....#..#...###.....#...#..#..##.#...#......#...##.##............#..#.....#.#......#.........#...#.....#........##........###..#...##.#..#..##......##.#.#.###
...##.......#......##.#.....#......#.#....##.#.##...#..###..#.............#.#..#.......#.......#.#.##.##.#...#.#...#..#.#.............##.##....#.#.#........##.#..#.#.##....#...........#..#...##.#.#.#....#.#..##........##.......#....#....###.....#.##.....#..#...........#....#.
....#...#..#.#.##...###..##.#.#....#.......#........#..#.#..#..#.....#....#.#....##....#.###.....###.#.......#.#...##......##.##...#......#.##..#.######......##.#...#.......#.#........#.###.#.###..#...#......#.##......#..#.#.........#..............#.##.....#.##...#..###......
#.....##.....##.#...##..#...#...#.##.....#.##.#......#.#..#.#.#...#.#...#..##.........#.###....#..###.....##..#........##.#..#.........#..##.....#.#......#.##...##...#.....#....##.##.####.#..##........#..#.................#....#...#.....#..#..#.#..##.#.##.....#....####...###.
.#......##....##.....#.##...#........#..#.....#........#..#.....#...##..##.#....#.#...#.#.....##..#.#...#.#.....###.......##........##......#..###..#.#......#.#........#.##..#....###.##.#.................##.#.##.....#.....#....#..##....#........#.#.....#...#....#....#.#......
..#......#....#.#....#..##....#...##..#....#..##...#....#.....#..................#.#...#.##.#..#.........#.....#...#.........####..............#.......#..##.......#...#.###......#.....#..###....#...#...#....#..#.....................#.##..##..#......##....#...............#.#..
##...#..#..#...##..#..#.#..#.......#.#...........#.........#......#..##..........#.#......#.###...##...#....#..#.##.#......#..#.#.###.#....#......#.........#.#.#..#.#.##....###.##..#..#..........##...#...#.....#...#...#.#.#....##...#..#..#..#.##.......#.#.#..#..#..........#..
.#.###.............##...#.....#..####...##....##......##..###.#....#..#...#.....#....#...####.......#.....#.....##....##.#......#......###.#...##.##.....#..##..#..##....#...#.#....#.#..#......#.....#...#.##.......#...#........#...###............##.#...#......#.##.#.#..#.#..##
...#..#........##...#..#.............#....#...#..#...#..#..#..##...#......#..#..#...##...........#.#........#.#........#.##...#.##..#.....#...##.##...........###........###......#...#..#.#...........####.#....##....#....#.##....###.......#.#..#.##.........#.##...#.......#....
..#..##..#..#..#....#.....##.......#.###..........#..#..............#.#..#....##.####..#........##........#.#.#..#.#.....#...........#.....##..#...#.#......#....#...#......##......#..###.#.........#..#.##..###..#.##...##...#......##.......#............#..##..##....#...#..##.#
.#........#..#.#.#.#.#......#.......###..........#.#....##..##.##.#...##.#..#..................##...##.......#..####.....#.....#.....#.#..#......#....##...#...#.....##...###..#.........###........#...##.####....#..##.#..##....#.#....#........##.##...#.......#..........##..#..
..#....#.....#.....#.###...##.......#..#......#...##........##..#..#......#....#............#......###............#....##..............#...#...#..#...#....#.#....#.......#..##..##.##.##..###..##...#.#..#.....##......#....##......#.............#.......#...##.#..#....#.#.......
........#..###..###...#....#.........##....#.#.....##.........#.##.#..#.#....#.......#..#.#.........##.#..###..#.#..#.....#.#..#....##.#.###.....#....#....#.....##..###....##.#.#...........#...###...#.....#...#..#.....#.....##..#.....#.......#...#......#..####...###...#..#.#.
##..#.#.#...#........#.#..##..#..#...##.....#......#.##.#...#.#.####......#..#......#.##...#.................#.##.........#.....#....#.###...#.#...#.#..#....##.....#...#........#..#..#......#####..##..#...#.#......#..#..........##...##............#......#....#.#....#...#.#...
##...#.#..#.#..........##...##...#####.....#.#...###.....#.#.#...##..................###.........##....#..#..#.#.#....#.#..#.#..###....#...##......##..#..........#...#.#.##....#.....#......#...#.#....#........#...#.....#.....###..###...#.#.....##....##.#..#...#....##.##...#.#
....#.#.#.#...##.#.##...#....##..............#.....#..#...........#..#.##....#...........#..#..#...#..#.##..........#...##.#.#.#.###......###....#....#.#....##...........#...##.##.#....##.......#...............#.#...#....#.#..#..##..#..#.##.#.#...#...##..#..#.#...#....#.#.#.#
.#.#.......#..........####...#.#...#..##.......#..#.#..##........#...#......#........#..###....#..#.##......#.##.....###..#.#.#...#..#.#.........#.#..##...#........#..#......##..#......#........#....##........#...#..##...#.#..........##....#.#...#........#..#.#........##.##.#
.#....#.#...#.........##..#..#..#.#..##.#.#....#...#.#..#........#......#.#......#.#.####...##...#....#........###.................#..##.#...#..#..#......##.....#.#..#.##..#...#..##..#...#.....#......#.#..#.#.....#.#.#..#.#..#.....#..#.....#....#....##......###.#..###......#.
#..#.........#....####.##.#...#....##..###......##...#.###.#....#.#.....#....#..#.#.#..#.....#.#.#.#.......####.#..#.#..#....##.#..###.#.....#..#..#..#......##.....###..#.#........#.##.#.....#.#####.#..#.#......#...#..#....#.###.#........#..###.#...##...............#..#......
#..#..........##....###...#...........#####.......#.....##..###..##..#...#......##...##....#.#...........#.#...#.........##.#.##......#.#......###.#.#............#....#....#..........#..#..#..#........##....#.....#.#.....#.####.....#........#.##.....##...#.#.#.....#..........
......##.....###....#.#.##.#...###...##.##...#.......###.#.#.....##........#...#...#.....#..#.....#.#..#......#....#.###...#.##.....#..#.#.......#...#..............#.#.##......#....##....###...##...#...##.........#......#.##..........###.#...###.#.#.##..#.#...###.............
#.#...#.#.#..........#.##.....#..#...###.#.#....#...#..#..#.#....#...##..##...#.#...#...#.............##..##.#...#......#....#.#.##......#....##...#.#....#..#.....#.........#.###...#..#...#..##.##...#.##...##.##..#..#.#.#.....#..........#.#..###.###...#....#....#......#...#..
.#.....#.#.##........#.#....##.....#.....#..#.##....#..##...##.......#.#.#..#......#.#..#...........#............#.##.##..#..##..##.##..###..##.........##..#......##.##.........#.....#.#.#......##.##.#...#.#.#..#..####.#...###.#..#......#...#...##..#....#.#.........#.#.#.....
..#.#...............#....#.##.##.#..#....#...#...#...##..##....#........#....####..#....#.....#..#.#..#...#.........###.#####........#..##...#.....#..#...#...........##.#.#..#..#.#.......#..##.#..##.##..........#.##.....#.#.#...###...#.#..#...#.....#.##.###.#....#.......####.
..#.#..##......#......###..#.#........####.##.#...#.#...#..##..##......#.##...##...#...#.##...##..#..#....##.#..##.##......#..###...#..#......#..###......#.#....#.##.#....##......##.#.......####.#..#.#...###......#.#..#.#...#......#.........#..#....#....##.##.#......#...#..#.
.##.....#..#....#.......#.#...#...#.##........##......###.##..........#.#.##.........#.##..##.....##....#.#........####..#....#........#.##.##....#..#....###..#......#....#....#..#.....#.##..##.....#.#.......###.#.###..........#.###...##.....#......................#......#...
........#..#.##.......##....#.....###...#...##.......#...##..#.#...##....#.#.#.#.......#.###..#......#.###.....#####...#...#..##.##...#.##..#...#.......#........#.....##.......#.###..#.#....#.######...#.##..##.#....#.......................#.####.#.#.....#.#.....#.#.#..#..#.#.
#....#....#.#.#..#.....###.#....###.#.#.##..###........#.....#....####...###.#....#.##.##........##.#..........###.#........##....#.#..#.###........##.#............#.#....###...#..##..#.....#..##..#....###...#.#.......#..##....#.......#....#.#..#.#....###.#...##....##...#..#.
....#..#.#.#..#.###.........#.....##.....##...#.....#.##..#.#...##.#..#.#.#.##...#.......##....##......#..#.#........##.#.#..###.....#..##..........#.#...#.............#..#.##.....#.#...##.....#..#.#.#.#.................##.....#...#..#.....#.....###......#..##..##...##...#.#.
##.#.#.#..#...........#....##.#.....##...#.#.......#....#.#.#..#......#.##.....##...#......##..#.##..#......#.#..#....#.........#.....#...###.....#..#.##...###....##...#...###.#.#......#.#........##.##....#.#...#..#..#.#......##....#.#...........#.#........#..#..#.#.#......#.
##.....#.###.#....#.##.#......#.#...#.#....#....#.........#.....##...#...#...........#..#.......##.#.#..##.#..#..##..#.....######....#.....##..#......#.#...#..##................#.#..#.#.#.#.......#....#.###...##.###.......#..#..#...#...##..#.#..#..#..#...##.##...##.#..#.#.##.
......#.#.#...#............#.......#...#......####.#..##..###..##.......#...#.#.##..#......#....#.#..#..#..#......#..#..#.#....#.##.#......##.#.....#..#.#.#....##.##..#...#........###.#..##.#...............#..#......#....##..#....#.#.#....#.#......#....#...#.#.........#......
...####...##..#.##......#.......##................####....#..........#......###..#..#.#.#.#...##...##.#.#...#.#.##....##..#.....##........##..#.##....#.....#..#.##......#...#.#.#....#....#....#....#.........##..#..#.#....##........###..##....#...#.##....#..##.....##........#.
.#.#.#.........#..#..#...##.......##.#...###....##..##.#.#....#..#........#.###.#..##.#....##.............#.......#....#.###....#.....#.##.....###.##..#.#.........#.#.#..#..#.##..#...........#.##.....##.....#.#..#.....#...##......#.#..#..#....##..#.##....#...##....#...###....
##.##.#.#..#....#.......#...#........#.#..#..##..##................#.....#...#..##...###.#..###.#.##.....##......##..#..#...#..#.#.....##....#...#.#......#.#.#..........#..............#...#.....#.....#....##.....#...............#...##..#.........#.....#........#..#.##........
.....#...#.............#..#...#.#####.#..#..#...##........###...........#...####.##.#.#....##...#..#..#...##.##....#....##....#...#..#.......#..##...........#.....#..#.......#......#..........#..#..#...#.....#..#........#.###....#.#.#.......#..#.....#.###.#..###.....###.....#
##.....#...#...#.#.............#.##.....#..#.##..#.#.#...##.#.#...#..###.##..##.##.#..##..#.#....#.......#....##.#.#...#...........#..#.....####......#..#...#..#..#......#....##.....#.##.#................#.#.........#.........#.....#.....##..#.......#..#.#.......#...#....#...
#..#.....##.....###..#.........#...#.#....#..#..#.#..#...##.#.##.##..##...#....##..##.##.........#...#.#.##......#.......###........#..##...#.....#......#.....#.......#...###.##..#.#.#.#.................#......##.........#...##....###...#.....#.........##..#..#.#......##.#.#.
..#....#....#.....#...#.......###.#....#..#......#..#.#....#..#..#.#.......#..#.........#.........#.....#.##..##.##......#..#..#........######..#....#....#.....##......####..#........#.##..#.###...#.........#.#.#...##...#...#......###...#.##..#......#......#...##......#.#....
#.#.#..#......#..#.##..#..#......#.#.##.#.....#..#....#....#..##......##..#..#...#....#.#....#.##........#...#.#....#.##...##..##.#..........##.#.#..#...####...#...###.#.##...#.#..#.....#.....######....##.#....#..#.........#.......#.#.......#...........#..#.......##.#....##.#
......#...#....#.#.#.#.#.......#.....##.......#.......#.##..#..#...#....#.##...........#.##.#.....##....##....#...........#.###...........#..####...###.##.#.......##.#.#...#.#..#.......#.#..#.........#....#.##..#..#....###.#....#....##..#...........##........#....#..###......
.#.....##.##....#....#....#.#..#.#......#.##...##..#.....#..#......#.#......##..##.....#...............#..#.#.#.............#..#.........#.##.....###..#.....#..#...##..##......#..##...###............#..#.##......##..#.#......#.#..#.....#.........#.#..........###.......#.....#
##...#.#...#..#.#..#.#...#.#....##..#.....##.#..#...#.#..#..#....##.#.#....##..#...##.....#......#..#..#......#..#....##..#...........#..#.#.#........#.##...##.##...#..#.......######......###.#.#....#..#..#.###.#...............#.#.#.#.#.##..........#.#.......#.#.....#.#..##..
##....#..##......#.........#....##......#...#...#..............#....#....#..#...#.#.......#...#..#.#....####.....#.#..#.#..##..#.#.###.#.##....##.......#..........##....##.#..#.....###....#.#........####......#..##.#...#..#.#....#.........#....##.##.##...#......#......###.##.
....####......#........#####.#....#......#..#..#..#..#.#...#...#.#.#....##...#...##..####.......#.##..#.......#.#.#..#.............#...##...#............#....#...#..##.#..###..#...###.............#....###...#.......#.....#.....#....#.#.....................#.........#.###.##..
.##.##.#.##..........#.##.####.##...#..............#....#..##.#....#.#.##.........##..#...##....#..##.#.......##.#.#.#...##.#....###.#..#..#..###.##.#..####.##.#......#....#.......###.##.##.....###..##...#..##..#.#.#..##.#######.......#.....#.#..#..#.#.#...#.#####..#.....#.#.
#...#..#....#.#.........#.#.##.#.#..##...#..........##...###..#.#.#.#.........##.##.#.#..........#....#......#.##....#.#..#..#.#....#...##..........#..#......#.#.##..##....#..##....#...#......#.......##..#....##...#...#.....#...........####...........###.#..#.#...#.#....#.#.#
.#.##.#.#.#.###...###....#..#.#..#...#......#.....#.#....###.#..#...#.#....#.##..#.#...#.#.#..#.......#....#...##.....#..#.##..#.##.....#..#.#...##.#..#.###.##.....###....##.##.#...#..#..##..#...#...#.#..#......#...#.####......#.....#.#..#.#...........#...#.#.#.#....##..##...
.......#......#..........#.#..#..##..........#.##..#..#...........#.#.#..#.#......##.#....###.....#.....###......#....#..#....###....#.........####..#.....##......#...##....###.###.##....#......#.####.###...#..###.#..#...#..##....#......#.#................##..#..#....##....#.
..##...#.....#....#......#.........#...##.##.#..#..####....###.....##...........#..........#..#...#.###....#....#..#.#.#....#.#.....#.........#.#..#......#.#.###...#..#..#.#..#..#.#.##......#.##........#.#.#.................#.#.#....#........###..#.#.#...#..###....##..###..#.
.#........#.........###.#...#.#....#......#....##......#....#..#...#..#..#.##....#.....#..#..#...#.#.#....#......#.......#....#.#........#.#...#.....#......##.##......#..##..#.#..####....##.#..#..#.......##.....###.#...##.#....#####.........##..#..#.....#.#...##.#..###....#..
#..#...#..#.##...#.......#......###..#..#..##.....##..#..##..##....#.....###......#....#.####......##..#..#..##.....#.#......###.#.#..##.........#....##..###.#####...#.....####..##.........#...##..#.#...#..........#.##..##.......#.#..#......#.##.##.....#......#..#.#.#.##..###
###...#.#.#..#..#.......##.#..#...#.##...##...#..................###..#.............#.##.#...#...#..#.##......#..#..#.##.......##....#...#..#...##.#.#...#...#..#.##.............#..............#..#.....#.....#..#.#...#.......###..#.#.....#..#.....#...........#...#..##.###.#..#
#..#.#.......#.#.........##.#...##.#............#..##.....#.......#.........##....#.....#...#.##......##........#......##..#.####.###.......##.#...###...#..##..........#........#.#..#####......##...#.##........#......##.##.....#.#.#.#.#...##.........#...##..#.................
#..........#...####....#.##.#...##.#......##.#.#.###...#..........#...#..##...#.#.........#.......#...#....#...#....##..#....#.....#...#.....#...#....#..##..##..#.#.#.###.##.#....##.###....#.......#.#.#..###.##..#......##.......#.#.##....##.....#...#..........#.##...##.....##
.#...##..#...#..#.....#......##.............#.#.#...#.#..#...#....##.#.....#..#.#....##.#.....#.......###.#.....#....###...#...###.##.##.......#...#.#..#...#..#.#.#..###.....#....#...#.#.#.....#....#..#.....#..#..#....#.##......##.#.........#.......#.#..#...#.#.#.#####..#..#.
#..#...........#..#......##..#......#...##.....#.#........##.....##.##...................##......#....##.#.##.#...#...#....##.....#..##..#.##.#.######..#.......#..#..#.###....#..####...##.....#..#.##..........###..##.#...#...#.#.#...#.#.##......#...##....##.....####.###...#.#
...#.#.#.#....#.#..#...........#..#.#.....##..#...#...#.........#.#..#....###..#.....#......#..##..##.#.#.....#......#...##...#...###.....#..##.#.#.##..#.#.....#..#.#...#.#.........#...#.#..#.#.#...###..#...#...##.#..#.#...#.......##..###.............#....#.#.....#.##.#.#...#
...#.........#......#..#......#..###...##.#..#............##.###.##..#.....#..##.....##.##...#..........##......##.##.#..#.#.##.##.##.#.....#.#.......##.#..#..#...#..#...#.#.#....#.##.#..#......#...#......##..#.#..#...#.#.#...............##.....#..#........#..###.............
.....#.##..##.#...#.....#.........###.....#.##..#..##.#.#....#.#.#.##..####........#...##.#.#...###..##.#..##.####..#..........#...#.#......#..#..#.#.....#........#.##........#.....##....##..#.....#...#....#..#.#...........#..##...#.##...#..#..#...#.#.....#.#.......#.........
..##....#.#.......#......#.##.....#..#.#....#.#..#...#..#......#.......##.##.#......##..#.........#....#..#.#.#..###...####.........................##.#......#.#......#......#.....#....#..#.#.##..#..##.....#.#..##.....#.#......#.#.#..#.#.#..#...#.#...##...........##...##.##..
#........##.#...........#....#.#..#...#.........##.#.##..#.#...##...##......#.#.#.##.####..........#..#.#.....##......#....##...###.#.#...#..#.#.....#.#.....##..##........#..#...#.....#.##....#....##....#.###..##.#.#.....##..#.#..#.#.#..#.##..#..#....##...#.#..#.....#.......#
#..#.#.##....#...#.#........###....##..##...##...#..#....#.....#.#....#.........#.#....#.#..##....##.....###....#.#..##.##.#...#.##...#..#.#.....#.....#........##...##...........#.....#...#..##........#.......##.....#.........##.#.##..##..#..#..###......##.......#.##.#.#.....
#..#...#.....###....#........##..#........#.....#.#.....#...#.#..#...##.#.....##...#..##...#..##..#.##...#....###..#.....#..#.....###.##.......##..##..#..##..#.........#..........#.##...#.....#.##.....#..#.............##.#...#.#....#......#.......#..#....#....##..............
...........#.#.#........#..#.#......#..#........##.#.......#.....#....#...###.##........#....###..###..#.#...#............##..........##.......##..#......#...##..#........#..#.....#.#..#..#..##..##...#.#...#...#.#...#..###.....#...#....#....##.....###...##...#.##.....##......
...#...##...#....#..##...#.#......#........#.#......#...#.#.#.##.####..##.#...#...##...#.#.#......#.#.##........#.........#.#..#..##...#.##.....#...###...#.#...#....#.#.#.#..#.....#...#...#...#.#........##....##.#........##..#..##.#..#....#.....#.#..#...#......#.##..#..####.#
###.#..#...###..#.......#..#....#...#....##.#..####....#.#...####..#.#.#....#.#..##....#.#.....#...#....###..###..#....#.#.##.......##....#.#.#......#......#.#.#####.####...###.#....#...#....##.#.#.....#.......##.#...###.#.###..#.##.##.#..##...#...###..#...#.#....#.#..#.##.#.
...##....##.#..#......##..####.#.....#...............#................#.#.......#..#.##..##..#.#......#...............#.#.##.....##...##.#......#.##..#........#..##...#.#.#..##...............#.#..#.....###.#.#.#.#.......#.#..##....##.#.##..#.#.#...#...#........#.....#..#.#...
..#....#..####.##.###.......#.........#.#...#.#.......###...#.......#...#..#..............#..........##.##....##.....#.......#..###...#.....#####......#.#........#.#......#.#....#.##....#....#..#....#.#..#....#..#..#..#..#...##.....##.##.#...........#.#...#.........##.#..#...
....#.#.............##.#....#....##.......#......#........#..#..#..###..#..#....#.#..........#.....##..#....#..#.#......#.....#..#.#....#.##...#..........#.#....#.......#..........###........#..##.#####.##...#....#......##.##.##.#...........#..#.....#...........#...........#.
#...#..#..#..#.#..#.##.#..#....##..#...#.....#..#.##....#...#....#.#..#..###..#####..##...#..#...#....##...#.....#....##....###.##......###......##....#....#..#.#......##.....#.........#....#....####.#.........#..##..##.#.#.#...#..####....#..#..#......#.##.#....#....#........
#...###...#.##...#.#.##.###..#...#.#..##..#..#.#.###.......##...#...#..#..#..#...##...#............#..##.##....#...#..#.#.....#..#.#..#....#..#..#.##..#.......#..#.........#....#...##......#.....#..#.##.##.#..#####....#..#.##..#.....#.#......##.#.#.##.#.....#.##.#.#..#.#...##
###.#.#....#..###....###.#..#####.....##.##...#.###......##..#...##...#..##..#......##..#.##......##....#.#..#....##.#..##....#...#.#..#.#..##.#.....#.#.##.#..#...#...#.......#.#..#..#...#.........#.#...#.....##...#..#.##........###........#...#.#.......#......#........##.#..
#..##....##..#...#.#.##.........##....##.#..#####.....##.#.....#.###.....##.#####..##......#..#####......###.#..#...#.###....###....#.#........#..#..#.......#...#....#..####.#.....#.#...##.#...###.##.#.#.......#...#.#....#....#..#.#..#.#....#..####....####...#.#..#.#...#.#..#
#...#.#...###..#..#....#.#.##...#...##.....###......#..#.....####.........#.#..###.....###....##.##.....#...###..#.#.#.......#..#....#...##...........#.....#.###.#....#...#.#..........##..#........#......#..#..#.#......##..#.....#..#.......#.....#....#.#.##..#.##.#........##.
...#..##.#....#......#...#..........###.........#.....#...#.#..##..#...##..##....###...#...#.....#...#...##..#.##....#....#.#....#..##...##...#..#..#.#..##.##..........#..#..##....#.............#..#.......##.#...#.#......#.....###..##....##..........#..#....###...#.......#..#
.......###.......##.#.#...#..#..#...#.#.#.#........#....###............###..##.....#.##..#.#.##...#....#............##...#...#..........##.....##.....#..#.##....#..#...#....#..#.#...#.##.#..#.#........#....#...###.#..#.#.....##.....#.#.###.###.#.....#..##...#.#..##....#......
.###...#.......#......##..##...####......#...#.#...##...#.....##..#####..#.....#.#....#.#....###.#...#.##...........#.............#...............##..#..#..#..#.##.#....#...#......#..#.#...#.#.##...#........#...#........#........#.#..##......#....##......##....#.##.#...#..##.
...#....##..#.#.##....#...##.......##.................#.......#..#.........#..##..#...#.##...##.####.......#..####.##...#..###..........##....#.#......#...#.....#...##.....##.#....#..#....#...####.#.....#.#.#.......#....#.#....#....##.##...#........#...#.####.#......#..#..#.#
##.##.###.#....###..#......#.......#.#......##.#..#....#..##..#..#..###.....#.#....#...##....#..##...............#..#....#......#....#.#..#..........#...###..###.####.....##....#......#.#...#..#.##.......#..###.##.##...#.......#.##......#......##..#.#.....#...##.##.#.......#.
...###.#..#..#......#.#.#.##.#######.#...##.........#.....#..###.........###..##...#.....##..#..##...###......##......#.##.#.##...#..###.......#..##.#..#...##..#...#..#..#.#.........#.#...##.........###....##....#......##...#.#........##.#...#...#.#.#.......#.....#....##.#.#.
....###..#.........#........#..#.##.#........#......#..#..##...#.........#.#.....##.#.......##.##.#......#..#....#.......#......#...#...#.#.#....#..#.###........#..........##...#...#...#....#.#........#...#..#..........#..........#.##.....#.#...#..#....#......#...#.#.#.......
..###......#.....###..#......##.#..#.....#...#.####...#.#....#....#..#..#....#....##......##..####....##...........##.#..#..##.#.#..#...#..##...#...##...##.####......#.......##.......#.##........#..#..###...#..........##....#.....#........#..#....#...#..###..........#...##..#
.#..#.#........#........##............#.#..#...#.#...#.....#...#.#.#..##..#......#...#.#.....#.#..#.###.##..#....#......#......#...#..#.#.##..#...#.#..##..........#......#..#..##....##.###..#.#..##.........#.#..#...##...#.#...#..#.##..#..#.....##.#.........#..#####.#...#..##.
..##..#.....#....#..#####.....##.####..#..#........###.####.#...#..#..#.#...#....#...##......######....#.#...##.##....##.#....#...#.....#.#......#.......#...#...##....###.#.......#.#................#.###...#.........#.##.#.........#...##....##.#..#.#.#....#..#...##......##.##
...###..........##.##.#.#####..##......#.....#..#.#....#...#.....#....#..#...##..#....##.........##.#....###...................#......##..#.#..#...##....##......#...#.............##...#..#..#..##.#..##..#.##..#.#..##..#.##.......#.#.....##..#.#....#..##.#...#...#..........#..
.####.......#.#.............##..##.....#.#.#.#..#.##....#.#######.....##.#.#.......#...#........#.#..#...#......#........#.....#...#......#.....#.##...#..#......#....#......#.#......#....##....#.##.######....####....##..#..........#..#.#....#.###.....##..#.#.#.....#.#...#....
#...##..#..##..........##..#.#...##.........##.#........##.#....#.#.....#.##.##.#.........#.#....#.......#..#...######.....####...#.#..#...#.#........##...#.#.....#..###.#..........##............#.#..###...#....#........#..#..#.........####.##.........#......#.#...#....#.##.#
#....##..............##.....##..###.#####.#.#....#.............##.###....#..#..##.###..#..#...#.##.#.....##.....#####.##..........#.##.............#.##..#..#.####..#.......#.#....#..#..#......##..........#.##......##.##....#....#......#...#....#.###...##.#.#.#.#.......##.#..#
....#.#...#.................#......#.........#..#....#...#.#...####.##.#...#.....#........#..#...#.......#.........##........#..##..#.#...##.#.#..##..##.#.##.......##.......##......##.#..#....#.............#...####......#.###.##.###..###...#..##.......#..#...#..#..#..#....#..
........#...#...#....#......#.....#..##......#...#.#..#........#.#.#.#.#.....###.#######........#.....#.###.###..#..##..##...###..#.###..........#..##..##.#.########...#..#.......#..........#..####....#......#.#..#.####......#.#..#..###..#.#.#....#.......#..###.##.......#....
....#..#..##.#......#.....#####.#...#...#.....#......#....###..#..#..#...#.#...##..#.........#...#.#..#....#..##.##..#..#....##.....##.#..##................###........#......##.....#....#.#...##.##.###....#..#........#..#..........#.##........#...##....##.##...##.#.#.#..#.##.
#.#.#................#..##.#.##..#..#...#.#..##.#..#.#...#.###.#..#.##..##....#..........##..#.#..##.....#......##.........#..#..#...#...#.#.....#.##.#....#.....#......##..#.#..#........##.#...##.#.....##.#..........###....##.##..#.#.......##..##.#...#..#..........#...#......
..#..##.#..#.#..#.#....##.##.....##.#....##....................##......##.......##....#......#.##..#....#.#.....#.#...##...##...#..#..#..###..#....#.#..#.####..#.....#.#.#.....#.........###...#.....#....#.....#..#..#.###.#...#.#.#.#............#....#..#.#....##..##.....#.....
.#.....#....#..#.##....#.#...##.#.#....#..##..#.#..#.#.#..#...##....#..#..#....#..#.##.#..#......#...#.......#####.....#............#........#.#...#.#...####..#............##..........#.##..............#.##...##............#.#..##.#.#......#.#.##.##...#.#..##.##......#.###..#
.....#.#.....#.#.#..#.#..#.....#...#.#.....#.#...#....#....#..##...........#...#.#..#.#.#....#.#.....#..##.#.....##.#..#...##.#..#...#.#..............#.#...#.#.#.#.....####..#................#.#..##...#.....##.......#....#..#......#.#.....#....#.#.#....#..#....##.#..#..##....
.#.....#....#..#.###.#...###....#.#........##..........#...#........##.#.#..#....###......#.#..........#.#.....##.#.#..#.#......####......#...#...##...#........#.#.......##...#.......#..#..#.###.##.....#.#.##..#.....#.......#.#..#...#..###.#......#.#........##....#..#....#...
#.#.##.....##.#.......####.....#...#..............#..#.......#...............##..........#.........#.......######..##....##...#.#..#.#...............#...#.##.#..###.##....#...##..#.##....##.#.#...#..#..#..#.#............##.......#....#.####...#.....##...........###.##..##.#..
.#....#......##..#..#....#.....##........#...#..###.#.##..##...#.##.#..#.#...#####.#..#..#........####..#....#..#....#..........##..#...##.#...#..#.#..#..............#...##..#..#..#..#.....##..#.....##.#....#####....###..#..........#.#..........###.#.#.#....#.##...#..#.##..#.
...#.....#......##....#....##..###..#..##........#.#.#..#...###..#.#..##..##.#..#.###..#...##...#........#.....###.#..#.....#.#..#..#.#....#.......#.#...#..##.##.#...####..#.....#..#...#....#.#..#....##..#..#.#..####..##..#.##.#.........##.....#..#.###...#..#.....#.....#..##.
.###..#.#..#.......#....#..###.#.....#..#..##......#....#......#.#.###......................#..#......#.###.#..#.#...###..#....##................#..##.#.#.......#..##.##...#....#.....#..##.....##........#....#..##.###....###..##.#.......##.#..#..#......#.#....#..#............
##.##........#..##..#.......#.##.##.#...#..##....##.#...#.#..#.........###.......#...#...#....#....##..#...##.##...#.......##.#.##....#.##..##.######.......####.#..#......#..#.....#.#..#..........#.#...#.#.###.#.#..#.......#.#.##.##.#.#.#..#...#..#.#.....#.........#........#.
.............#.#.###.#.........#..#.....#...##.#..##..#..#.#..#.#.#...#.#...#..#####...#....##..#.#.#......##.#.####..#...###..............##......#..#...#.##..#.#.#...#......#..#.....#....#.#...#.#..#.##....#..#...#.#.#.#.#........#....#..#...###.#...##..#.#...#.#..#..#....#
.#..#......##........#......###....#....#.#.........#..##.##...#.#..#.#.....#.#....###......#.#..#....#...##..#..#......##.##.##..#..##......#...#.#.###..##.##...###..#..#...#......#................#..#.##.#.#.....#.#....#...#.#..##.......#...#....#....#..#..#.....#..#.###...
....#.....#..###..#..#.##..##.##......##.#..........#.##....#.#.#..###..#...........#.#.........##.##...##..##..##.#.#...#.#....#.##.##.....#.#..#...##........#......#......##..#..#.####.......#.......#........###.#.#.....#.#...#..........#.#.#.####....#..........#...#..#.###
.....#.#.....#.#...#.#....#..###....##..#......###.##..#...#.....##......#.....#..#..#..........#..#....#.##..#.#..#...........#...##.##....#..##....##.#...#..##..#.........#.....#.#.#.####...#..####.##...#...###.#..#......#.........#.#...#..#.....##.....#.#..#.....#........#
#...#....#.....##.#......#.#.#.####..##.....#......###.....#............##.#.#.#..#.#.#..#.#.##..#.#.#...#.....#...#..##.#.##..#..#....##..........###....#..#...#...######...#.#....#......#........#...#...##..#.#....###.####....#..#...#...........#..#...###...##...#..#.......
......#..#....#......####..#.##...##.#.....#..#....#..#.##....##...#.#...#............#....###....#.#..##......##.#....##.......###.#......##...##......#.....#..#......#.......##.#...##..##.#....#..##..##..#....#.....#.#.........#..#..#..##.#.######.#.#.#.###...#....##...##..
.#....#..#.#.......#.#.........#...#......#.#..##.####.#.#.######...#.......#.#..#........#..#...##.#...##......##......#.#...#.#...#.#...#.##.#...#....#.#.#...#..#.##...###..#..#.#.#.#..#.##.#......###.......##............####..#...#....#...#.#.....#......#....#..#....#..##.
....##.#...#..#..##..#.###.#...#.....##..##.........#........#...#..##...#..#.##..###..#......#...###..##.##......##....#....#....#.#......#..#....#.###.#........#.###..........#.#.#..#.#............#.#...#...#..........#.....#.###..####.#..#.......#.##..#...#......#..#.#..#.
#.#.#..#.....#......#..#.#.#..........#.##...#...#..#....##.#.#..#..#...#.#............##.......##.#..###....#....#.##.###...#..#....#..##.#.........##..#.#..#......#.##...##......#..#.#..##.........##..#.###....####.....#...........#....#..#..........#..#...#..#.......##.#..
#.....###...##..#....#.#.#...##......#.....#..##.#...#....#..#..........#........##.#...#.#......#........##.##.#...........#.#..#.##....#....#...#...#..#.##..#...#..#..##.#...##.#...#....#..#.#.#..##..#.#....#.###......#.#.......#....#.##...##.#....#.#.###................##.
.#............#.###.....##.##...#...#..#......####...#..........#.#..#...###.....#..#.#...#....#..#...#...##......#.#...##..##.#.#...#....##..###....##......#.#....#...##...#.#.....#.#.#.......#.#.....#.#..#..##..#...#...#....##.#......#.#....##...##............##...........#
#.###.#..#.#..#..#...........##........##.#......#...#.#.#.##..#.#.##....#.....#.#....#....#.#..###...#.#....#.#...#.....#....#.#...###......#.#...#...#..###.#....#.#.#.#.##......#....#.#....#..######.##...###....#.#..##..#..........#...........#..##.#.#####.#.##....#..###..#
#..#.#......##........##....#....#..#..#..#.......#..##..#.........##.#.#.##...##......###.#....#..#..##.##....#...#.#.#..###...#.....##...#.......#......#..#......#...#..#...#...#..##....####..#..#.......#....#..........#..#..##...#.#........#.##..#..........#.#..#..##.##...
.###.......#...##.#..#....#.#.#.#...#..###.##..#..#...#......###..#.#..#.#.........#.......#................#........##...#...#......##.##..#..###..............#...#.#.#..#.#...#.#.#.............#..##...#.#.#.......#....##........#.......#....###......##.#.#.....#.##...##....
....#.##........##...##..#..#.#...#..##..#.#..#........#......##..#.#......###........#..#.#...#...#....##..#.###...##.#.#...#...#..#...........#.#.#.....##.....#..#....#.#...#...##.#.#....#.#...#.............#..##..##..###...#..###..#....#.#.......#.#.#..#.##.....#.........#
..##...####....#.#.......#.#.#..##....###...#...#.#.##...#.....#...##.#....###.###.....#...#....#.#.....#.......#..####..##.#.....#.........#.#...#.....#.....#.#.####..####.#...............#..#.....##....#...#..#...#........#.......#.#.###..#...#.#.#.#.##....##..#...#.#.#.#..
.......###..##..............#..#..#....####..#..#.###..#.#......#.......###...##.#.....###......#...#.#.#......###..#..#.#..####..#......#.#.#...#..#....#.....#..#..#........##...#.#.#.#.#.#.##.........##.#.###..#..#..#....#..##..#.......#........#..#....#......#.##...##..#..
...#....#......#.#......#...#.........##..##..#.##.#..#.##.#..#...#.........#.#.#.#.....#.....#..##...###...#...#..#....#....#...####.#.#..#.#.....................##..#...##.#......#.##...#....#...###.#.......#.#..#.......#.#.##..##..##...#..##.##.#....#...###..#..##..#....#.
.#.##.#........#...##...#.###.#.....#.#....##.......##...#####...##......#.#.......#..#...##..#....#..##.#....######.#......#...#...#...#.##...#.....##...###...#............#..........####..#.#..##....###..#.#.#....#..##....###.#.....###...........#.#....##......#..#.#.......
......##.#.........##..#......#....#.....#.###.#..#..#.#.......#...##...##...##.##....#....#.....#........#..#####........#.#.#....#.##.##..#.............##..#.#....#...##...##.##......#.........###.###......#.##....#..#..##....#.......#...###....###.......##.#.#.....##...##.
##.####........#.......#.....#.#.....#......#.#..##.#...#...#...#....##.#.##..###.....#..#....#.##.#........##.#....#..###.##..#..####..####.......#.#.#...###...#....#..#....##.......###.#.##............##.#....#....#.#.###..#....#...#...#....##.....#.....#.......##...##.#..#
.....#.##.##.#..##......#....#.#..#..###.........#.#.#.........#.##..#..#...#.....#.##..#..###....###.....##..#..#..#....###.###...####...#....#..#..##.#.......#....#...#..##.........#...........##...##..#.#....##......###...#..#.....#.#.#.##...###.#.#.##.#......#..#..#......
.............###....#.##.#..#...#.##...#.....##.##...##..##..##.......#........###..#..#.....##.#...#..#.#.#....#.##...#...#......##......#.#.#.....#..#...#...#....#...#.#.#........#...##......#.#..#..#...##........#..........#...#.....#......#...#.##........#.#.#.#.....#....
..#..#.#.#.....#.#..#.##...#.....#..#..##..........#........##..#...#......#..#..#..#.#.#..#.#...###..###...##..#.##.#..#.#..###.##.#.....#.#.#.....##.#........#....#####..#....##...#.#....#.#...#.#.#..#.##..#.......####...#.##.#................#...#.##.##........###.....#...
#.#.#.....#...#..#.#.#..#.........#......#.#.......##...##.#...#...........#.#.##..#..#..#..#.#.#......#......###...#..#.##..##.#..#.#....###.#....#.##....#....#..####..#...#....#.....#...#.#......#.#..####...##.##..#..##...#...##.##.#........##...#.......#......#........#..#
###.#.##..#.#............#....##.....#.#...............###...##..#..#..#....#.##.##....##.#....#....#....##.........#.#...###..#....#..#####...#..#....#....#....#...#........#.....#.##..##..#.##.#....#...###.....#.###.#.#.......##.......#.............#...#.#.###...##......##.
.#.#.#..#...#..##..........#####.#.##...##..#.#.#..##..#..#.#....#.#..#.#..........#..#...#....#.#........#..#####....#...#.#.#..#...##.#..#....#..#..#............##......##.#.#..#..........#..#......#...#..........#.#..##......##...######.....#..#...#..#.#...#..#............
##..#..#..###..#.#.##....#.#.#..###..###.##....#.#....#.........###.......#.......##.###.#.........#....#.##...#............#.##...#..........#.#....#....#...#....##..........#..#.......#.##..#....##...#.#.#.....#.#....#....##.#..#.####.....###...#####.##.#.#.#....#..........
.##.#....#...#.#.#...#.##.##.#....#...#.......#.#...####....#....#.........#..##...##.....#.......#.........#........#.....##...##.#.##.....##.##...#......#..#.##.#.....#.##......##.....##........#....#.#......#..........##.#...#..#....#..#..#......#.....#....#..#####........
#.......#.#..##..#....###.#..#....#.#.##.#.......#....#.#....###..#...#.####....#.#......#..###..#.#..#...#..#.....#......##..........#...#...#...#.#.#..................#.#.........#.....#......##...#...#....#.........#.#...........#.......##.##....#..##.#...#.....#.#.#.....#
#..#..#.#......#.....####.#.....#..#..#.###...##.........#..#..#.......#......#...#...#.#..#.........###..#....#.#.#.#.#.....##.#...##.#......#..#####...##.#...##....##....#....#...#.#.##......#..#.##...#.#....#...##.###.##..#...#.#...##.....#..##.#..#.##.##.#.....#..#.##....
##....#..#.....#.##.##...##.#.#.....#...#.#.##..#.##.....#....#.#...#....#...##......#......#.###.###...##..#..#.#...#......##..#..#....##.....#..##......##..#.#.#..#..#.##..#.####.##.....#.#...#.......#.#.##..........#.........#...#..#.##...#....##.##.#.#.....#.##..###...##.
#...##.#..#....#...#.###......#..#..........#.....##...##.##...#..#.....#....##.........#..#..........#.....#...#....##.##..#.#####.#.......#..#........#.#.##.......##.#..#.....#..#..#..###....#..#.##.#......###..#..........##.#........#....#.#...##.................#......#..
.#...##...##..#.##.#...##..##.#...#..#..#...#.#.......#.#.....#......#...#.#.....#...#..#.##..#....#.#####.#...#.#...#..##....#..###.#.#...#.....#...#.##..#..#.....#...#......#......#.#..#....##.#.###........#...#....#..#...#.....#.....#..#.....#.......#..###..#.#......#....#
.......##.##....#.....#.##.#.#..#...##.##.#...##.#...#.#.....#....##.#.#..#..##.....#.##....#....#.#...#......###....####..#....#....##..#..#.#.#..####..#....###.##..#.#.#...#.....##..#......###..#.#.#..#.#..##.#...#...#.#.#.......#.#....#......#.#.....##.##.#...#..#.##....#.
.......###.#...##.##.......##.##..##....#....###.#.#..###..#..##........#...#........##..#......#..###.#.##..#.#......##...#.....#..#....#...................#.#.#.##.#...#....##........##.#.#...#####.#..###...#....#..##....#.#......#.#....#.#.##..#...##....#..#.....#......#..
..##..#..#......#........#........#.....###...#......#...#....###...........#.#........##......#....##...#.#.#.##..#...##....###........##...#.###..##.#.........##..#...##...##.#..#...#......#....#..##.....##..#.#.#...................##..........##.#..####.#.#..#...####.#...#
.##.......###.#...........#...##...#...#.##.#.###....###........#....#.#...#.........##......##..##........####.......##........#.......#..#...###.....##...#....#....###..#...###..###.##.##.....#..#.#....#..#..##.#....##...##..#....#.##.#...#.....##.###...##.#...#.#..#.###...
#.......#..#......##.#....#..#.#...........#..##..........##........##....##.###.##.#..####...##.......#..##.##.#...###...#....##..##.#..#.#.....#....###.#....#.....#........#..#.#....##...#.#..##.......#.#............#....#..###..#.#...##....#..#...###..#.#..###...##.#..#..#
.#......#...#....#...#..###....................##.....#.....###....#...#....##.#....###......###..#...#....#....#..........#.........#...#...#.#..##.#####...#.........#....#.......#.....#..#.#.##..#..........#.............#..........##..##....###.#.......##.####.......##.##..
...#.#..#...#.#...#.#..##.#......#..#.##.........#..#....#...##.####..#...#........####.##.#.###.....#...##.####....##....#........#..##.#........#..#.#.###...##..##.#......#.#...........#......#..#.#..###..#...#..#.#.##......#....#.....##.....##.#..........#..#.#.........#.#
.#..#.###..#........#..#..##.#.#....#..#.#....#..##........#.#......#.#.........##.#..##..#..#...........#.....##.#....#........#.##.........##....#....#.#.#....#.#...##...#.#...................##..#..#..#.......##...#......#...##...##.#.#.#........#........###...#..#..##....
.#..#.....#..#...#....#..........###.#...#....#.#.#........#.....##.........###.....#......##...#......#....#....#..#.#..#....#......#..#..##..#...#..#.....#...#.....#.#......#...#.##....#.##..####......#..#..#.##.........#......#..#.....##..............##.#....#..##.#..##.#.
.#...##..#.....#.#.###...##.####....##....#.....#......#.......#.#......##..#........#........#..###..#..#....#.#....##.......#...##.#.#..#...#....#.....#..#....#......###.#..#...##...#.#.#.#.#..#..#.#...####....#.#..#...#..#.#.....##..#.....#.##.##...#...#.##..........#.....
..#...#..........#...............#.#......#.....##...###..#....#...#.....#..#.#..##....#....#..#..#...#..#....##..#.................##.#.#.....##...##..#.#....#......#..........#.##.....#....#.##..##.##...####....#....#..##....##.#...##......#..#..##..##...#.......#.#.#..##..
#..#..###..#.#.#..#..#...#..#.......#..#.#....##........#.....#.#.#.....###.#.#..##...####.##.#......#....#.#..####.#####.#.##........#...##....#...................##....#........#....#.#..#...##.#.......#...#.........#.#.....#...##..#........##..##......#.......#..#.#.##.##.
.#.#.#.#..#..........##..#..#.......#........###....#....##.#.###.#.#.#..#.......#.#.#.#.##.##..#.#.#......#.......#...##.#....#....#.#.####.....#...#....#.#.....#..#..#.#............#.#......##...#..##.##..........####........#..#.#...##.....#..........###.#.....##..#...#.##
..#...........###......#.....#....#.....#.......#.#.##.#.....#.##.#.#....#....####.#.......#....#...........#.#....#.##..#..#.#.#...##....#.#.#..#......#..#..####...##..#......#..#...#......##..#.......#.#.###.#.........##........##.#...#..#..#.#..#.....#..#....#.#.#.#....#.#
..#..##....#..#..##.....#.##.....##.#..#..#........##..##..#...#..#.#....##.#.##...#.##...##.....##.##.#.#....#........#....#........#.#.##........#.....#...##.##..#.#....#.#....#...#..##.##..###...#.#.#...#....####..#..#....###.......##....###..#...###.#.#.#...##..##........
#...............#.###.#.##........###.#......#.#....##.##.##.............##.###..##....#..##.#.#....#....#.#.#.#.#.#.###........#..#..#.......###.#.....#.#...........#...........#....##..#....##.......###..#..##.#..##.##...##.#.......#....#..#.......#..#.###.........#..##....
#....#.##...###........##...#..#.........###.......###.....#......#..#...#.......##..##......#....##..............#.#.......##.....#.#.#................#..#.#..........#.###...#...#...####.##.#.....##......#......####..##..#...#.....##.#....#.##..#..#..#.##..#.##......#..#.#.
.#..#...#...#.#...#....##.#.#...#.####.#....#...#.........#.....###.....#.##.......#....#..........#..###...#.#........#...#..........#...#..##.#..##...#....#..###....#.#.....#.#.##..#.##.....####.......#.##.##.#..........#...#.#...#...........##....#...#...#.##....#.........
.....#.##...#....##.......###...#......#.#..#.....#...#...#...#...#....###...#.#.#..#.#...#.##.........##......#.##....###.#...#...#...#.##......#......##....#.......##.##.#...#.##.#.#........#......#...#..........#.#....#.......#.....#...#..#...#.#.......##.#....#.##.#....##
.#.###...#.#....#...##....#...#.#............#.#....................#.#.#....##....#....#....#...###.###.........#####.##.#......#..####...#......#.#.......##.#..####......#.#...#....#...####..#..#.....#.###............###.###...........#..###...#..#..#.....##..#........##...
.#......##....#.#......##....#..#.....#....#...#..#.....#..#..........#.#.##.......#.#.#.....#..#.###.#..#####...#...#...#.###..............#.###..##...#.##..#.##.##..##...#..#..#....#.#....#.........##.##.#..............#......##.#.###.##...#.#.#..#...#...#..........#.#.#.#.
...###...###.#.#.#..#.#..##..###.#...#....##..#.#.#.##....##.##.#...#....#....###.......#...........#...#..#.#........#.#..##..###...####..####..#.#....#.#..##...#.###.......###..#....##.....#.....#..###..##..#...#.##...#...#....#.#....###...##...#.#.#...#.#...#.......##..#..
#.##..#..#.......#..#.#.....##...#........#.#......####.........#....#............##....###.....#....#...#..##....##...#.##....#..#..#...#....#.##...#..#..#..##.#..#..#.#....#....#..#.#.#.#...##...#....##.......#.#.#.##..#.#....#....##...#.....#....#..##.#....#...##.#.....#..
#...######....##..#....#......##.#.#..###...###.........#...#..#....###...#....##......#..##...#...............##..###...........#.........#...#.##......#..#...##.##...###..###...#...#........#..#.#.#...#.#....#...##..#........#..#....#..###...#..#.......#.....##.....#...##.#
##.#.....#..#.....#...................#.###...#....#.....#.......#...##........##..#.....#.#.#..#.......##....#..#......#....#....#...#.#..#....##.....#..#..#....##....#....#...#.....#.###..###.#......#..#...#....#.#.##..#.#..#..#......#.#..#.#.#.....#...#.............#..#..#
.#.#......#...##..#.###..###.....##....#.#..#.#.#.....#......##.#.........#...##..#.#...#.#..........#....#..#.#.#....###.#.........##...#.........#.#...#....#..###..#...####....#.....##..###....####.#...#.#..#........#.......#..##...#..#......#...#....#.#...#.##..#..##....#.
..#.#..#..#.#......#.###.##...........#.##..#....#.#......#.####.......##.##..###...#..#.#....#.#..##..###......#......##...#....#..##..#......#..#.....#.....##..#.#....#..#.#..#.#...#.#..#..#.............##.##...#...#...##..###...#####.#...#.#...#..................#.##.#....
...#..#......#................#.##.....#.#..#.#..#....#....#.##.##...#.......#......#.#.#...###........#..#...#......##...........#..##.##.#.#....##.##.##....##.##....#.#.#..#...#...###.##.......#..#..#.#..#.##.............#.###.....#...##.#.#....#........#.#......##.##......
....#.....#..#....#.#...#..##.##...#.#..#...#..###.#.##.....#..#.#..#..#..#.###..............#..#................##....#...#...#.###..#.#..#.#..........#.####.......#....#.........#.#....##..##.###........##..#..#.....#....###.#....#......#..#......#.#......##..#....##..#....
..##.#...#.#....#.##.###...#...#.....#...#.#..#.#.###....#...#.#..........#.......#.#.#....##.....####.....##.#.#........#.#.......#.....#.##.#...##..#.##.###.....#.##...#.#....##...#.###..#......#..#........#.#..##......#.#..##...#.##..#.##.........#.......#..#..##...#.#....
..#.......#.#.###....#.......#......#..#....#.#...##.#.#..##....#..#..#....#..#..##...#.............##..#.##.##...#.#.##...#.##.#....##.....#......#.##.....#.......#........#..#.#......#.#.#.......##.#..#........##..####......#....#......##.#.#.##..#....#.#.##...#...#..#...#.
...#.#..##.#....##...#..#...........###.##....#.....##...##.#....#...##.......##...#......#...##...##..##.##...#..#..........#..#...##.###..##....##.##.#.#.#####...#.#.#...#..#....##.##....#....#.#...#....##...##.#....#....#...###...##...###.#...#........##........#.#.##..##.
..#...###.......##..........##..#..........#..#...#..##........#.#..#......#.#.#....#.....##....#...#.....#.....#.#...................#..###..#...#.##.....##......#.........#...##...............##.##.......#....#.#.....#......#......##...#....#..................#.....#.......

15 300 300 3 1
.#####....#.###.......#....####...##.#.#..####..#####..#....##....########..###.#####.##.#....###.....#####.####.........##...................######....###..###.......#...#..#.###..#...###...##########..###.#.#....#..#.......#..#.................#########.##..##.........#.####.......####....#..#..#.
.#####.#....##.##.#...##...####..#.#..#...##.#.#.####........##..#.########....#####..###.....##..#...###########..###...#####.....#..#.......#########.#####.###...#..##....#######....###.#..#################.....##..##..##...#.......#...#........###########.###.........####...###...###...#..###....
..###.#...######....#....#######..#.#.#.##.#####..###........#....#########.....######.#......###.....###.#..###....#.#.###.......######....########.####.####.#.....#.#......#..###....####...##########.######.....##.......#.....#........##......#.###########..###.#.......####..#..#.....##########.#.
..##......######......#.#########......####..#...........#.......#...#.###.......####..##.####....#...##.########.....#.###....##.#################.....#....#.##....#######.#.....##.#..####..########.#######.....#..###.....#..#.######....####......###########......#....#....##..#.#....#.######....##
........#.####.###.#.....######........##.###......#.#.................###......#####...########...........#.###..##....##.#....#########.#.#########..##......#.....##########.#..##....####....######..#.#######.#.#.##.......##.######.##..###.###.############..#..#....#......#...............##.#.....
###.#.#.#######.##...##..###....#.....##.#.......#####...#..............##.#..........##########......#.#.#.########.....##..###..#################.##.###...........############...#..######......###.....##..##....######.##......#####..##.###.##..############...##.....##......#.........##...##.......
.....###.#.######.#....###.#...##......##.#.....#.#..#......#.......#..##....#.....#.##########....#...#.#..####.##.##.#..##.###..################..##.##....##.....#.##########.......#.###.#...##.###.#..##..#.....######.##....###############....#...##########.#....#..............##...#......#.......
....###.##########..#.#######..#....#.......###.###......#...#.#..#.#..##...#...#...###########...#...#.#...####.#...#####...###.#######.##########.###...#.#..#....#..##########..#......####...########...##.......#.#....#....##############.#....#.#############.###.#....#....###.##...#..#....#...#.##
#....#..########.....##.#####..#####...##....#...#......#.#####.##..#.###..###.......########..............######...######.##...##################..##.##.#.....#####.##########........#..###...#########..####..............#..##############.....#.#.############.....#..#.#.##..#....#....#.....#.#.####
.##.#.##.#####.......#######..######...##.##.#.##...#...#..##...##..######..#.#..#...#######...#...#......#.######.........##.#.#######################.#...#..#......###########......##..#####...###.#.#######......#.....##.#.###########.#...##..#.########.####..##...##....#.##..#...#.#......#.######
.#..#.###.###..#...#.#..###.#####....###.##............##.#####.##..#########...###..########.##...........########.#.....#..###.#.####################.#.......#...#.#########......#.#....#........#############.#.#....##..##########....#....#......########..##....##..##..##.#.....#..#..##.....######
#.#.#...#..####.#....###.#.#####.##.#....#.##...##..##..###########.#########..#####..######....#.##..#.#....#####...#...........#...#################..#.....#......###########....###.....##.........############.#......#..###########..#.....###..#.###########......#..#........##.##.#.........#######
#.#.##.....#####....###.##########..#....#..###...#..##############.############....#.####..#..#.....##..#......###...##.......#..#..##################..##...###........#...#.....####.....#..#.......######.###.........##############...#..##..########...##......#..#..#..........##....###....#########
..#......#.###..#..####.##########.###....#######..##.##########################....#....#............#...#....#.....#.##.........####################..###...###.#......##......#####......#...#.....##.####.#.##...######.##########.....#...#.#.#######..........##.##.####.###.....###.#.##......#####..
...#...#.###.#..##..###.####...######.......####..##.#....##.#.#..###########.##..#......#........##...#.#...#.#........####......###################.....#..###.##...........########....#....##...##.....#...###...##.##..#.#########...#.##.....#..#..#.....###..#####..###.##.......###.#####....##.....
.#....########...#.......#####..###.##......#...#.#...............##.#########.##..####...#.#...###....###....##...#...######....######################......##..####.....##...#######....#...###....#....#....###.#...#.####...##...#....####.#.#...#.#...##.##.##...##..#...#.###.........#########......#
#..##########...#...#....#..####...........#...###....#.##........###########.#........#..###....#.#...#.....#.#.#..##....#..##.###############.###.#..##..#.......#....####..######.....#..###.#....#......##.....#..##.######.....#.....####.....#.....##.####...#.....#.#.###...#...###.########.....####
##..########.###...#.......#.######....##...#....#.#..#.#........#...#######...#.......######.................########.#.....#.################...#.....####............##...########.#.#....##..#.....#.#....#..#..#.##########.#..##....####...........#.#.####..##.#.......####.######.#.######....#.####
###.########...#.#....##....#..###..####.....#....##.###.#......#...#...####....#.......#..##..#..#..........######.##....##.###################....#....###.##..#...#..###.##########.##...###..##...........#...##.################.####.###......#####..##.##.#.###.......#.#....######..######...#######
############...#......###...#....#....#..###.#...#...#####.#.....##........##.................###..##..#.....########........################......#.##..####.#.....###.##################....................#...##.#####################.############.....#..######.##....#......#######..####.#.....#####
#################.#...#.##..###...#####.##.#..#.##..####....##.......#........##..#.......#.#.....#.#...##..#######.#.##..#..###############....######.....##.##....####.################.....####...........#..###.#..###################.#############........########...#........####.######...#####...##
###################..#.########..###.....#....#..######..#.....#........###........#.#......####......#.....########...####...#############....#######..........##..####.#################...#......#....#....######.#######.####.#...#.#..###########...##.#.#......####..#.##..#######.######...######..#.
.###.####.#####################..####.....#..#..#######..####..##.....####..###.#...##.....#.##.#....#...#..######....#..##.....##########.##..########....#..........################.#.#....#..###......#.#.#####....#........#....#.....####################...######.##...#...##############.##..###...#
.###...#....#######.######..#...########.#........####....#.#.#......#.###..###.....#.#..#...#.###..##....###.#........#...###...##..#####.....#####.#.....##........#.###############.....#......#..####.##...#####..#####........##.....########.##.#########.....#######.##....################..#....##.
#####....##########.##..####...#######.##...#......#.##...#######..##..###.####........##..####....#.......#.#..#.....##..#####.....#..##..#...#####...##.##........##.##.#########.....#......#......##.####.###########............#....##.#####..##########.....########....###.##############.####..####
#####....##########....#......########...#...........##....#####.#.###.###.##..#..##...###...#.#....#......###......####...###.###...###..###....#....#.###........#...###.########..........##.##.....####.#..####...##.#..#.......##.....#..##...##.########......#######.......################.......###
#######...###########........#...###.#......................######.####.###.....#.#...##......#.#..####....###......#####..########..####.#.##........#..###.....##.....####.######......##..###.........####.######..##.....#########...#......#...#...#####...#..########.......################......#...
#######..##########.#.....#......###.#..............#.#.....####...#......##.#.##....###.....##..###.#.##..#........##...################..#.#..........#####...#.#.....##.###..####....#.##.#......###...##....###...#.....###############.#........#...####..#...#.########.....################.#.#..#...
#####.####.###########....#....#........#.#...###...#.............#...##.#.....##....#........##.#.######.####......#.##.#################................###.....#.#########...............#.#....#.#########...#........#############..####.........#.#.#####.#.....######......##################..#.#...
#####.##...############..#....#......#.####....##...##....##.......#.......###..#........####.#..#.######..##......##.####################.#........#..................####..#.............####.....#..########.#....#....#..###########.#.#.###.#...#.#..##...###.....####....#.#############..###.#....#..
#######....#################.#.........##.#.#.#....###....##...........###..#........#.#.####...########.##..###....#.##..################.#.#.#...###..#..##..#....#.######.......##..##..###......#.###############.##.#...###########....###...#...##..#.#..###..#..#####.....################..#########
####...#..#..#############.#.......#...#####.#.######........##..#....#.#######..#.....##.####..########.#.#.#.##....#####.##############....#.##.#.#####..#......#..#...####....#...#..##...#......################...........#########..#....#......#...#....##.###....####################.....#########.
.#....#..#....##############...#.......###....#...####...#.....#....#.#.##...#.#######..######.##########.#...........#..#....###########....####.#######.#.......#......#.####.....#.##..##....#....###############...........#######.#..###..###...........#..##.##...###.#################......#########
.........#...#..########.##.............##...##...#####.####...........####.#..######....###..###########..###....#.......#.###...#.#######..######.#####...#....#..#...#.#####....##.....#....##...#.##############..#.........######...###.#..###....###..#..#.......####.####...##########.#....#######..
#...#...........##########......#....#..####.##.#.########.#.#.....#...####.##..#####.#.#...#.############..##...#..........###..#######.#.....###.#####.##.#....#.#....####........##.#.####...#####..#############....#....##########...##.#.######..#####..#........#.#.#####..###########..#.######....#
###..............####..##......#.......##.#..#############.........#..#.####..########.....#.#############.##.##..#..........#....#####.####...######......#.....##.#.#....##.......##....#####.###########.######.##.........#.####.#..#.#..###############....#..#...##..........##########.#...#.####.#.#
##.#....#.....##.####...##.#........##....#...#########.##...........#.####.###.###.##.#...#.###########.####..#.....#..#.........#.#..#####.####.........######.....##.#..##.#....#.####..####..#####.#########..###......#.#######....####.####.##########..#.######...#........#.###.#.##.####.#.##..#.##
#..........#.###..#.....#........##..#...##....#########.........##..##########..######..#.#...############.##...###...###...#........#######...#.....#########...##...##...##...##..#.#....###...################...........####.#####..#.####.######.#####..###.####...#.........##.....#..######.......#.
##..#.....#..###.##...#..#..#.##.#..#..#####.#######..##..#...#.###.#..#######..##........###.##.############.#######.....####..#....#.######............####.#...#........#..#.#####.##.###.#....###############........#....#########.#...##.#.######.###....########...#..#.....##.#..#.#########...#....
..#.........####.####.....####.#.#..#....###########....##..#..........#######..####.#....#.##.####..#..###.##########............#....########...#......#....#..#......#......######.#.#.###....#################........#...##..#####...........####..#.#...#########....#.##....##....##.#####...#.......
......#....#.....###....#.##......#.###.#..#########...#...........#..########.#.#.###.#....##....##....########.######.............##..######.........#####.##..........#....#.##.##......##...####################............#######......#..#.##.......#.#############.....#..#.....##.########.##.##...
.#........#..##.####....####....##..###.##.########..........#...###...#######...#.#.#......#.####.#...#.#.##.#...######..#.#.....#......##.##...#...#####...#.............#....####......####.#####################..#.......#....####...........###.......###############.#.....#..#.#########.........##.
............##.#.#####.#.#####...#......#.######.#..#...#....#.#####...#####.#.####.#....#.###.#....#..##.....#.##.####..............##..###....#...######...............##..#.#..#......########.##################.####..#..#########....#.##...#..#....#.#.############...##.###.###..#####.#.#......####
##..#..#.#...#...#####.#..#...#....##..###.#####..#.#...##......#....#.....##..##..#.#..#...#.........###.#....###.###.............#.##.....#........##..#............##...#....#.......######..####################.#####......####.....#..#.#...#..#...#....######..##.....#######.#..######...#.......#..
##.#.##.#.....###.####.##......###..#.#...#######........#..........#.#.......##...##..#.....#.####.#.###....#..#.#.....#.....#...##.....##..#....#.#.#.###.##.#..................##.##.#.##.#..##################.....###..#.#####...##...#.......#.....#.....##.#....#..#..#########..#..###..#.......###.
###.##..#..#.#####.###......##.##..#.#......####............##.#.##..##.........#.#.............#.####.......#.#..#.....##.#.#.##.##.#.#.#.....#..####.......#.##.####.##.....#...####......#..##..##############.......#.....######...##.#....#.##....#.##......##...##......###.#..#......#....#.##...####
###.#......#######..#......#.#..#...#.......#######..............####.###.......................#..####.....#.##..##.#...#.......##..##........#.#.......#####.##########.#.#...###.###.#...#..###############..##....##.#......###..........##..##..#####.#..#.#....##......###.#..###.......#..###.#.#.#.#
.######..#..######...#..#.##.###.#...#......#..#.##..#......##.###..##..#...#....#...#......#..#....#.####....###.####.###.##....#######....#.#..###.###.################.#......######..#.....#############.##..#.....#.##....#.#######...#.#.####....##..##..#.#....#.#...#.#..##..##.#..#.#..######.....#
..##.#.##...######...#..#.##.....#............#..#.....#####.#####...#...#....#.##.........#...#.####.###.#....##..#..####....#.#####.....#.#.##.####....#################......#########..#...###############....#......######...####..#.............####............#...#...#.########....#...#..#.....#.#
.###.........######....#.###......##.....#..........##.###########..........#.#...#.#.....#..###..####.#..###..#######.#.####..########...#....#.#####.##.####.##########..###############..#..#############.#............####...#######.#...#.........######...#.....###.....######.#####..###.#.....######
#.....#.....#######..#...#.#......#...######...#.###.##############......#.#..#..........####.#######..#..#.##.##.###########..##########.#.....#########.....###########..#.#############......####.######.###.#..#...#.######.#####..#....#..........#.##..#..#......############.#####.######.......###..
........##...####...#...#.#####........########.#########..##########.##..#..........#....###########.######.#.##.####.######..########.###..##..####.###.....#############..###############..#...##.#.#########.#.#..###..###.#..####.........##..####....#....#.....####################.#.###....#..#.#..
#....#........###..###....####...#....##############.####...########.#....##..........#...#.#...#.#####.#.#....#######.######.#.#######.#.##.###.##....#...#.#############....#########.###..#........####.##.#...#.#.#.......##.........##....##.#..#.......#.........##########################..###.#..##
..#...###..#......#.##..#######.......###################.#.########....................#.#...#...######.###.....###.#.######...#########.#..###..###......##############....##########..#.#......#.#.##..###.....####.#.#...........#.......#.#............###.#.#####################...#.####...######...
..#...###...##.#....###..######..##...####..######...###.#.########..##...............#.###..#.##.######..####.#.#...#########.##########....####...#.......###########......########...#.##.##....#.###.#####......####.......#..........#...##....#..#....####.###...################...######.####.###...
#.....#...#####.....###..######.#..#.#..#...####.#..####..############..####..#..#..#...##################..#.....#....######....#################..........############.......#####.....##..#####..####.########.##..#..#.#..#...###.....#....#.#...##....##.#....#...#############...........#.#.##.#.....
##.#.##.#..#.#...#..#.#...#####...#.##...#.#####...#####...#########.#..............#..#.###.....##..####...##...###...#######.##########.#.####.##.....##.##############.......#.#......##..###.........#########.#.##......#....##...........#..........#####.#####.################.......#####.#########
.###......##.....#...#....#####..#..###...##....####.###..##########..#.##..#......###..#######........##..###......#..##.###...#.##.####.#..###.....##.####......#########..#.#..#.....#.#.###..#....#..########.....#......#.......#...#..........##....############################....#...#########.####
....#......#...#.#.....#.############......#############.#########.#####....#..##.......#######...############.##..##..#.###....#.#..####..#........#########...##.########.#...####...#.####.##..#..#.#####.#.###......#.#..#...#..###.....#........#.....###########################..###..#######.##..###
.###.##...#.#.......###..#.#.######..#....########################.#.###........#..#..#.#######.#.#.....######......#....####...##........##..#.#.#...#######.....#########....#.#.#.....###..#.#....##.###..............##...##...###.###...###..#.......#..########################.#..##.#.########...###
########.....#.#.##.####...########..#...#..################....##...###.#..#....#....##.######.####.#.######........#...##.....#........#.#####.#..#.#######....#.#.######....####.#...........#..###..###.#.........#...#.#.##.###..####....###........#..#.#########################...#.###.#####.#..##.
#.####.............#####....####.####......#################......#####...#.#....#..###.#.....#.####.....####..........######.#...#......#..........#########........#####.#.#.######....#..####...######...###.....#......####.##.....###.#.###.#.#.........#########..############....#...##..#####..#....
##..##..#.............###.#############..#.#.#..###########.##.#.#######...#.#...#########.#....####......###.........#.####.#......#.##...........#############.#....###.#.....###..#..#.........#####......##.#.##....#.##...........#####......#..........#######################..#####.###.######..##..
##..###.#.........#......#####...###.###....#.############....#...#####.#...##...##########.....#.##.......#.....#...#####........###.####....#.....############.#..#.............#.#.#.#......#.######..#...#......#....###.#.......##.####.............#...##.######.#.###########..######################
.##.##...##..#...#......#####.#..####.##....##.#.#########..##...###.###.....#..#.########...#.##.#.......#.###....#..###...###.##.#..###.........#############...#...#.......#.........#..#..#...#.###.###.#......#.....#####..........####...#........#....#.#####.#....#########.############.###########
##.....##....#....#....########.#.##.#.####.#....###########......######........##########....##.##.####.#####.........##...#####.####.##..........############.##..#...#..#....#....#.#..#.#...#######.#####.##.......#.#####.....#......#.#......#.......##..#.####.#...#####################.#.##########
###..####...###.#..#..#########...#.######.#.#..############....##.####.#..#.......######..#####...#.###..####..#....#.#################.........################..####...###.#####..######.......#####.####.####...#...######.#..#..#................#..#..###..#####.##..#####.###########.....###########
####.##.#....###.......#########......###....##...###########..####.#.#.######..#...###.#..##.#.#..######.#.#..##...#.....#.#.#############.....################....#...#..########...#####..#####....##########........#######...............#.......#.....####..###.....#.##..#.##########.#...#.########.
#####..##..######....##.#######...#.#####.##..#...####....#...#######...#######............#......#.#####..#.##.##..#...##################......################.#.#.#..#.##.#####...#####.##.###.##...####.######.....###..#....####.....#............#...##..#..#.#......#.#.#...###########.####.#####.#.
#####..###...####...#.#########.###..#####.#..##.##.#.##.#..###################...#......##...#..#.########.####..#..#..#.#.###############....###############.#....#.#..####.#.##...#########.#..###.##.##..#######...........#####.....#...#..#......#...##..#............#.###.#.#################.###...
####.......#..##...#.##.######.....#..#.......######.###..#.#.##################.##.#######..#.#......###############.##...#.#########.##...################.....#..#.......####.......#....##........#.###..######..#.#.#.....####....#..#......##....#.##..#.#.........#.#..###..#.##########.######..#...
####.....#..#...#.###.##.##..##...###.......############..###.####################..#######......#......#.#######.###..#.....############....#############...#....#..##....##.######........##....#..#...#..##.#####...####....###.....#....#....##.............#.#.###....#######.....#...##..########.....
#.##....####.#....#....##.#...#.......##.....#.##...##..#.#...#####################.#######.####.......#..######.###.#...#....##########....#.#########.........###.##...#.#######..................#........#.####....###...##.###.....#...#.....#..#.##....#....#.####..#.########...##......#########....
###.#...####.#.#.#..#.#.#.....####..####....#..#...###...##.#..######..###########..#######.#.#####..#....#######..##...#.##...#######...##.##.#######......#....#....#.#.###########..........#..##...#......###.#..#.#.....#..#..#.....#..##.....##.#.#...#....##.#####.#..##..#..........#..#########....
...##.#########.......#......#####....###...........#.##..##....#####...#.#######....#######.#.####........##..##.##.##.#.##...#.#####..#####....#.##.#..#...#..#.......#.#########...#..........######.....#..#.#######...#..............#.#.#.......####.###.#......##.......#..........#..#.#########....
..##########...........#..#.######....#.#......................#.####....########....##.####...#####.....#.########.......##.....##########......#.##...####.##.......#...#########....##....#...#####........#.#.####....###..............###.#..##..###..###..#.#######..............#...###########.#..#.
....#.######............#...######......##....##.........##..#..#####..#.#.######.#...########..##.#.##...#...#####.#####.......##########......#.####...##.#.##...#.##.#.#####.................######.##........##.......##....#..#....#.#####...........#.##.#.#...##....##.............###########..###..
......######........#..#..########.....###............#.####...#.####..#...##.##.......########.#..#####..#...######.####.#...##########..##.....####....#...##......#.#.#.##...#...#.#.#..##.#..##############....###........##....#.....###..............########..#.#...##.##.##.....###############.#...
#.....#######.###..#.............#...#.####.....##...#.#.####..#####..#######.#........#.##.....######.#......#############......#######...##.#..#.##...#....##.........#.#.#..#...#...#....#...##########..###.............#.........#...####..#......#...#.#######.##...###.#.#.#......################...
......###########...##........#......#.######.#..........####.#####....########.....#.........#...#####...#.######.#######...#...##.###.....##...###....#.##...##..#......#..#..#....#..#....##############.#......#.....#...#...##..#......#.###..##.##.#....################..#......#############..##....
..#...######.######........#.........############...##...#.#..#######...######.##..##............##.#.##...###############..........###....###....#...##.#.......##..##.##.#.#.###..#.#.....#..#...###.##.#####.#..#...##...#..#.#.#.......##.###...##...#...#######.#.##.####..##......###############....#
..#....###########.....#....#.....##.#############...#........#####.#########.###.##..#......#....##.#...########..#######..#.......#...#.....#..#..##...####.#.###...####.#...###.......#.........###.#######..#....#..#..###...##..#..#...##......#...##....######..##.#.##..##...#..################.....
..........###..###.#######......###.#############.#.#.........#####.#############.###....##...#..#...#......####..#########..#.##..###.....#..#.##.#.##..#...#.......######....#####.....##.......############..#....#.##.....#.#.#...#.##..###.....#....#..#########.#..##.....#.#.#..############.#.##...#
#.....##..##.##...#####..##....#..#############.#..#...#.....#.###.#########.##########....##................##.###.######.....#..#####.#........##.#..####...##.....#####...#.###......######....###.#.#####.........#####.....#.....#...##.#.......#.#....##########....###....###...############.#..#..#.
.##..##.#####.......###.............###########.###.#.#....#......#.######.#.##########.#.#.##...............#.###.#####.#..#.#.#.####...##....###.#.#.####..#..#..#######............########...####.######.##..#.#.########.#.#....#.#..###....#..........###########..#####.##..##...#######...##.....#..
.....##.####.##...#.##......##...##..#######.#.#.##.#....#..#..#.#..#####.##.####..#####...##..#.##...#............#########..#...###......#.....##..###.#......#....#####.......#.#.#########....##...#####.##...#..#########.###....#.....#..##.........#############..########.#......##.###...##..##....
##...#########.#.###...#...#.#.##.#.#######....#...#.######.##.######.##.#.####.....######..#.#..##...#...#.......###########.##.####.#.###....###.#...#...........###.####..##......###########.......##########.....#######.####..###......#...#...#.......############.#######.....#..#..###...##...#.#..
#####.##########...#..##.#.#...#....######..###..#..###.##..#.###########..###..#...#####.##.......#..##.##.##....##########..##..####...#...#....###...#...............####.###.......#####...#.......##########.#.############.####..###...##....#......############.##.######.#...#####..#....#..........
..##.####.###..#..#..##...#.........######...##.#...#..##..######...#..#..#####.....#####.#.###...#..###.#...##....########.#####......#......#....##...#.#.#..........#.##.###........######....#.#..#..#.######..############.####.#.#......##......#.#.#.##########.#.....###....######..#..#.....#..#.##
.#....##..#####.##.#..#.####......########.#.....#####...##########....#.#...###....####.##.##.....####.#.#...##...############.##....#...#..#.##...#....###..............#....#.......#####.#...#.####....######.##########.....##.##......###....#.......#######.###....#...####...#####.####.............
......#..###.....###.#.#..##..#..##########.....#.##..##..##############.##.####..##...###.......#########....#...#####.###...##......####....#.##......##.#......#......#..#...###..#.######.##...####.##..###.#..##########..#.#####......#.#....##.....########.#..###.....#...#.#########.#.#####.......
.#......#.##.....####....####.#.###########.#####.##..###.########..#####...#.....#.#.#.##......#######.###...#..###########..####..######.#..##....#.#.....#.....###.#.##.###..#......#####.#.##..#.#...##.#..#..#.#######.....######..............#.#..##..########.#####....#..#...#################.#...
.####.#.#..#.#....##.....####...##########...###########..#######...#####....#..##...##....###.######..........############..###.###..######....#....###...........###....#...........######.####.##...#...##...#....######...#########...#.......##.#..########.#####.#####.##.......#################.#...
.#####....##..#....#...######....#.#########..########...########.#######.##...###...#.#...##.#..####.......####.########..###.##.#######....########............####..##...##..#.#....#.##..#..........#..#.#.##...#..####...#########..#....#..##....#####.....####.#...##........#.#################.....
.#####...##.......#......##.#.....#.#####..#.....#####.....######..###........#.#........#......#..............#..#######....####.######.####..#########...#..##.####...#.........#.#...........##.#......######...##.#####..###########....#..........######...#.##.#.#........#..###..###############..#..
.#####..#.#.......#.......###..#.#...###.#...##.###.##.......#######.#.#...#...##.#....###.#.#..........##........########....#.#####..#.###.#..#############..#########.#.#......####........#.####.#.#########....####..#############..#...#......#.#####..#...#..#.......##.###..#...##############...##.
####..####.......#...###.########.#..#...#.......####.#..#......##.###...#.#.#.###.#..#####.#.........#.#....#.#.#.########...########..###.......##.###..##....#######.###.#..#....######.....#...#.#.#########..#...#...#.#.########................#.#..#...##.#.....##..#####......##############...###.
.#..#..#...#.#........##...#######.#.......#.......#....##.#......###..#..#.##.##..#.######.......#.#.#....###..#..#..#.##.#..######..#.#.###...#.#.######....#######....#.#...###.####.#..#..#..###.###########..#.....#...#.####.##...........##..#....###........#..###...######..#.############.....#...
.#...........#...##....#...#######.......###..#.#........##....#..#...###...####...#..#######.....#####.####...####.###.####.#######.##...####.#....##.####....######.......#.....###.####.....#.#####.#######........#.##...#..#.#.####...#......#.......##.......#.####....###.....#############.##..#....
.#####...#...##...#........###.###.....######.#.##............##....#....##..#....##.#######....#...#....#..#...####.#######.#####.....#...#.......##.#.####....######...........####.#...#..#..#####..#######....#.##...##....#........#.##....#.#.......####....#...##.#.#.###....#..###########..##..#..#
#..#.......#..##.#....#..#.##..#.###...#####.#.#...........#..##....#.....#..#...#.#.#######..##.....#....##.....#...#############.....#..##....#..#.#.####.#.....###......#.#..##.###...#....##..###.#####...#.#....######..#..##......#####.....##.##....#....#.....#...##.###..#...#.##########.##.....#.
###........#...#.#.#....###..##..###.#########.#.####.......#........#####.####.#....#####....###.#....#..#.#......#..#########.#....#....#....#........#.##.###.#.####..#..#.#..#####.##..#.###....#.###....##.....#######.##.###.#.#.#######....####.#.......#.#.....#..###...#.....#..#######..#.....###.
#.##..#..#....###..##...####..########..##.####.#####.##....###...#...##############.#..#........#.....###.#.##..#############..##.#....##..###......##....##.####.####..###......##...##.....####....##.#.##..#....#..###....#.###....########..#.##...#......###..#..#####..#............#####...#...#..#.
.###.#...##..#.#.######......########..##..#.####.##.......###..#.....####..#.#####....#..####..##..#.########..#####..##########.....#.##...###....#.#...#..######.###.#.####..#.###.........#####..####..##.....#....####.#...##.#..##########...##..###....###......####.............##...##.#.#.....#.#.
.##..#..#.#......#....###....#.#######.###....#....#........#######...###.#.#.#######..#..#####..#..##.###.#...#.####...########.......###.#..#...#.#.#...#.##.##..#####.....#..####.#.##.##..#####...###.###...#.....###...#####.#..############..##.#.###...######.########..........##.##.#.#..##........
##.#.#####.......#.....#.#.......####...#......#.####..#.....#####.....#####.##.##.##..#.#####.#...#..###.##...#.####.#############...#....##.##.#######.##.#.####..###..#..##...##.....####...#####...#.#####.##....###...##..#####...#######.....#.#..##....#################.............#.......#.......
.#####...#.........#..#..#...#######....##......#####........######.##..#####..#.##.....#######.#..##.................#####.#..##.##.#.....#####.######..##.#.....#.##....##....##.......####...#####...####...#.#..#.#....#...###..#.#########.##..#...#####...##############.......####.......#..#........
###.##........###...#.....##....##...#..###.....######.....#..###..#.#######......#......#######.####.#..#...........##..#.#...######.#...##...#.#.###..##.##...##.#.#.#...#..#.#.####..#..##..####.....##......#..##...##.....###...###.##########...#####.#.####..###########....##.#.#....###..#####..#.#
####.##..#########..#.....##...#.#.########..#...######.....#.#.###..#######....#.......##############...#.#.###.....##....####..######.#.#..#.#..#.#.#.#####...##.#.#.....########......#####.##.......#.........####.####..##.......########.###.....#####...###....########.###.###..#.......#..####.#.##
###..#...#########...##....#....###..##.##.###...#.#####.......######.#######..####....##.#.#.####...##..#.#.####.......#.#......#####.##.###......#...###.#.....#..###...#.###.###..##...##...##..............#...######.#...##..###.###..###.#####...###...#.####...#.#####...#......#.......##.##..#####.
###..#...#########......##......#.##.####..#.#....#####...##...##.###.#######..###...#.......#..##..#..#......##.........#.......#######.#..........##...###.#...#.######.##########.##...##.#......#...#...##..#.###.##.#....#...###.#...#...##.###....#.#..####.##..######.....#..#.......#............#..
........############.#...#........#..#.#....#....#.##......##...#..###.#######.####............##...........#..#..#.....#..#.....###.##...##.#.###..###..#####....#.##.#..####..#..######.#.......##...#.........####....#........####......##...#.##..##....####...#....#..#....###.....#.#.....##......#.#
#....################..###....#................#...##..#..##........##########.######.....##...##................#........#....#.#.#.##......###########...##......############.....###....#.#...#...#...#......#..##.#.##..#.....####..#..###..#.#........#.###....#.......#....#.##..#....#.....#.........
........############.#...##..#..#.......#......#..#..#.#...#.#.....##..##.....#######..#.##...######.......###.#......#.........#...........#...###..######..#......##..#.########....#.#..##.#.#..###....##..####...####.......###...##..###...#.....#.........#...####...#####..#.#..#.#..##......##.#....
.....##.###########.......##....#.....#.##..#..#.....##............#..###.......#.##..#..#..#..####..#...#...#......#.............###.#.....#.#..##...##..#.............#..######....#.##.##.#.#...###.#....##..##.....###..##.....#....#.##.#...##....#........#..##.....#######.....###..#.....#...###..#.
..#..#...########.....#...##....##...#.#....###..#..#....###........#...#...#.#...####..........######...#####......#.#..........#..#.....###.######..#...#.#..#........#...####...#.##..##.#.....##.......###....#.#....##.###.##........####.##......#...##.....###......#####.####.#.##.....#...#####.#..
#####.....#######.#....#...##....#....#.#...######.........##.#...#.......###..#...#..#..#.#...........#.####.#................#..#........#...#.##......########......####....##.#..##.####..#...##.##.#....#......#..###.#.####.#.#....##.##...#.............#..###.....#.#######........#....#...##.##.#.
####.#....#.#.##............#...#............##..##...#..................##.###.#....#..#....#.....##....###..#........####.#..###..#..##....######......#########...#..##......###.###.###.....#...##..#..###.##...#..#############.#.....#.##....##.........####..#......########.......###..####.#....#..
######......########..#####...#.##......#....##.#..........#...#....#..#..######..#........#.......###.....#.#..#.#.#...#.#.#######..##.......####....#...#######.####.###....#.#....#.###.........#.#.#......#.#.#....##############...#.#...#.#####.#...#....##.##......##########.#........#####..#...#..
#####........#.#####...###.....##.#.....##.##.###....#...#.#...#......###..#.#...###...#....#.....#####...##..########..#.###########..........##..####..############.##.#...##..##....#.#.......#..####..#......#.....###############..#....#.#..#######....###..###.##.###########.##.......#####.#.######
####.#..#...#########...#.###....#....##.###...#.#...###.#.###.........##.###....#......#.#..####..#..###......#######..#.#########...........#..######..#.####......#.###....#####.....#...######..#.##.##......##...################...#....####..######.#########.##....#######....##..#.#######..#######
#####.#...#..#######.##...##.#..#.....#...#...##..#.#.###..#####.......#.#..######......#....###...#.###......#######.#..#.#########...#....#......###...#.#..#.###...#.###..#.####.....#..#######......##..##.#####...##############.####..#.############.#.#.#####.##...######..#..###...#.#.####.######..
####.......############.#..##.....#.......##.....#####..#.#.###........#####.#.###..#.##..#...#.####..###....##.#######.##.###########...#........#.###....####.....#..###..#######..#...##########.........#..#####.#..#################..#.#############.....#########..#####.##..##....#.#..#.....##.#...
..##......################.........##.#.##.##.#####.#.......####.#..##.#.#.#...###....#.......##...##.......###########...###..########..###.....##...#.#..####......#####....###.....#...##########........####.####...##############...#...#########.###..#..##########.####.....#..#..###....#...####....
..#.......#############.#..#..##..####....####...#..#..#.##..####.#...#########...#...#.......#.##.#.##......###########..####..########.........#......####.###.....#####..#####...#..#############..#.....#####..#...##############.#....###########..#...###########.#..........#.##..####.##.#..##.#.#..
...........#############.##..#.....###....###.##.##..#..#.#...##.####..##.####.#......###....#..##..#....#.....##########...###.###########..##.....##.#.######......#####.#####..........###########.......####...........#########.....##..#####.##.....##..#########............###...#####.##.##.##.###.
......#.#..#####.##.##.#...#.......##.....###.####.....#...##...#.####...###..##....##.###.....##..####....#########.#.#....##############.#..#.......#####...##.....#####...#...##..#....##.#######.......#######..####.#..########......##########.##...#.#########....#.....#....##..########.#.#########
..#.........##.#.#.#..#.......##...#.##.##.#.##......##...#..#####.##.#.#.#...##......#.####...#..##.##...#...#####.##....#########.....###....#.....#######.#.#...#.#..#.##.....#...##..#.....#.##.......######....###.#....#....#.........#.####....##.#.##########..#......#..#.###..#######.###.#..#####
....#.......###.#...#.#.#........#....#####..##......####.....##.#...#####.##..#...##.######.##....###.....#..####.#.#..#..########..#..##..........#########....#....######.#.....#.....###..#.#.#...##.##.#####..#######.#......#...#......#.........###.######.####..#.....##..###..#####.#..#.....######
#.###.#........#....#..#..####.......#####.####......#.##..#####..#.##..####.#.......####.#######..###....#...###...#.#...########.#...##............#######...##......###..##....##....................####.##..#...###.#.#...#.......##..#............#######........#......#....#.########.#####...######
###.......#......#....#.##.#..#.##...#..##..#.......#......#####..#.#...####....#...##############...#...###..###......#..#.#######...####.....##...#.###########.#.....##.......#.##.........#......#.####.##........###.####..#...###.#...##........#..#.#####.....#..........##..#.##.###.#..###....#####
...........#...##..#....##.......#..###.#...#.....#.#....#.####..##......###..#..#################........##.#.##......#.###..##.##....###..#####.#..#.########...........................##..#..#..##########.#...#.###....###...#.##...#....#............####......####...#.###.......###########....#####
....#.....#.###.#..#.#.#.#########...#.....####..####...#.####...###......####...###..################....#######..#..#.........####........#####.....#.########.......#.#.....#.........###......#..##############.###.....#####.#.......#....#...#......#####.##.......####....##..##.###.######.....#####
#..........####....####.#.####...#..#....#..##.##.#...##..####.....####..####....#.##.################....######..####.#.##.#..#.#####...#..#####....#..####............#..#.....#......##.......###.########..#####.###.#.##.##...###.#......###.#..#......##.##......######....###.##.###..#####..##..####
....#...###.#####.#.#############.#..#......#####......#..##......#####..#...###...#.##.###########..##..########..##.#.###....#.#####.......#####.#..########.#.......##.............#.###..#...##############.#########....##...#.###.#.##...##.###........##.......#.#######..##...#......####.....####..
.........#####..#.....##.#.######..##.###...#####.#.#..#.....#..............#.####.################....#...###.###..##..####.#.##.###...#...########..#######....##....#.....##.####..##.##..###.#######......##.###..##.##..........########..########..............########.###.#####.#...######.##....#..
###...##.#####.#..##......########.##.####..#.###..#..##....#....##.#........#....###.#....####....#...........##......#.####...###..#####..##.####...#########.......##.##...#.###.......#.#####.#######...#.#..###...###.##...##..#....####...##########....#...#..########.#.....###.....######...#......
.#.###.....####.#......#..#######.....#.#......#.#.#..#..........#..##...#..##....####....#####...#.......##..#.###........#....####.#####.#...####..########....#...###.##.#....#...###...######..##.#.#.#..##.###...####.....#...##...#####.#############.#...###.#######.###....###..#...#####..##....##.
.#.#......####.##....#..##..#...##.#.#...#.#.#...##..#######.........#....##..#.##.#.#...#####.........#.##.........#.#...####...########........#..#########....####.###.##..####.####...######...##.#####.##.######.#.........#..##.#######.#################.####.#####..#####....#.....##########.......
.#.........###.....##...#......####.....##....#......#######............#.#........#####.#####...............#..####.#....#####...#######.........#.......##.......##.###.....##...#..#....####....#..####...######...............##.#.#####.#################.################.#..........#########..#.#...
####...##..##.##.#.#.........#.####..................#####.#.#.#..#........#...#..#######.####.....#.#..#.....#....##.....####...########..##.####..##.#...#.....###..####.........#.........#..###........###.#..#..#..#.#......###############################.#####.######..###.#...#....#########.####..
###......#######...#.............#.........#.#....#.##.#..#####...####.....##.....##########..#.#......#####.............########.#######...########..#....#...######...###.....##.#...........##.#..###.......####.....#.#...##..##########.#################.....##....##..##.......##.###############...#
##..#...########..........#.........#..............###..##############.#.........###########...#.#...#######...#..#...#.###..#.##.###.#.#..#..######.#####..#..#######..###.#.###.#..#..#.....###...########....#.....######....#.######...###################..#.#.##....#.###.......##..##########..###.##
..#..#..########...#...............#...#.##........#.#..####################..###..########....###...########..###......##.#.....######..#..##############..#########.....#####.#.....#.##....##.############....#...#.######....###.......###################..#....#.....#..#......###############..#..###
....###..####.#.#..#.##.....####...............##.#........###########...##..#.###########......#.##..#########.#####...#.#.#...#####...#...#############..#########.#..#######.###....##....#.#############.#........#####.#.#.....#.##..#.####################.#............#..##...##############..######
.#...#..#.##.#.....##.......###........##.........#....##..#########.#.#..######.#.#######...#...#.##..########...#.#.#.......#..##.#.......##############.#######.###.#######.#####........#..##############..##...#.#####.#......#..##.##.###############.#.#.#....#.................############.....#.##
...#.#..##..#.#.....#.......##......#..#......#.#####...#.#########.##..#.########..######.......##..#########.#...###..........#.#..##....#####################...#...########.####....##.#.#.#.#########..##.#...#.######.#....#...########.##########.....#.......#........#.#.....###########.##....#...
..#..####.#.........##.#...............##....########.##....#########.############.######........##..##.#####.#..####.#...#...#....#.#...##.#############..###...###...#######..##....#........##########..#.##.....##.######...##..########.#############..##........##.#.#..#.#........####..##.##..#.....
..#.#....#........##.###.#..#.###.#....###..###########...#..#####...#.#############..#...#.#...##.####.##....###.#####..#.#..##..#.#...################.###.#....###..####.##.....#.............########.#.#.....#####.###..#..##...#######..###########..#.##.##.##..#..#.####........####.#.##..###.#...#
...###.#..##......###...#.#.######.###.......##########......#.##..#.##############........###.#.....###........#####....#.#.....#.###...################....#.#.#......###.....#........#..##..######.#..#..#.....#########..#.#..#########.############.##....#............##........##.....#.#.#.........
...#.##.........#.###.........#.####.####..############.....#####.....############......#.......##...##.#...........#.#.##....#.#....#..##.....##########..#..#.......#..#..##........#.#.......#########....###..#########...#################....#.#####......#...#...........##.....##....####.#...#.....
.#..####...##..#..###..###..#.#.#.###..#################......#.......#####.....#...######.#...#.#....#.#..........#..#.#.#...#####.....#......###########.####.####.####...#............##.....########.#....###....####.......###############...#.#####....#...###.....#.#.#.#########.##..#....##..#.##..
...#.#.#####...######...##..###......#...#.####.#######....###.......#.###.#.....#.#.#.##...#...#...####.#...........##.####.#.####......#....#########.#.####.###...####.....##.........#.....#.#######.#......#...######......#############.#....#####.##...#.####..........###..#####.#..#.##..#.####.#..
.......#####....####.#.......##..#..#......##.########.#........#...##....##.......#.##.###.#.#####..####............#..###....#.#....##...##..########.##.####.#.#...###....###.........#.#....########.....#.....#####..#.....#############.##...#...###...#.#######........####.#####.#....##....#####..#
###.######....####..##.......#..#...........###.#####.#.#...............##.........####...##.#.#..#.########.#....##.......#.####..#.#.......#.#########..#####......##....#..#......#....##....#.#####.#...####.#######...#...#############.#...#......##....#.#######..#....###..######..#.####...########
#..#...##.######..#......#.....##.......#.##....#########.........#....#........#...###.#......######.####.#.#.#.......#...#######..##..........#######.####.#....#.##...........#.#.#.....##....######.#...########..##....#...##############............#......#...#.###....#...######...###.#...######..#
...#..###.####...####.#....#....#....#.#####.....####..#.#..#..........##.#.......#####...#....####...###.###..##...#...##.###########.......#...#####..####.........##...#.#.#.....##...........##...#.##..##########.##...#..######.######...#.....#................#####.#.##..#####..####.###....##.....
....##.#..##.....###.#.##..#...###....#########..#.#..#..#..#....#.###..#.........##.####...#.########.#...###.###.......##.#######.#.#.....#.#..######.#.#...#....#......##..#....###...#.#....###.##.##....########.#.#..#.#.##.########...##..........#.##.#......#####....########..#..##.##....###....#
.#.....#.#..........#..#.....#.##...##########.....#...#.#...##..#..##.......###.########......######.##......##........#.....###..#....#.........#####..#.####.#..#..#.....#...#..###........#.########..#..#########.#.#..#.#...######......##...#.....###...........#.#..#######.#...#########.#.##....#.
#.......#........#......##..###.......########....#..#....#.#..###..####.......#....###........#######.#.#...##......##...#.#..#..##.....#...........#.##....#####.#.......######...##........########.........#######....#####...##..##.#..##....#.#.....#..###..#.#.#.....#..###.....#..#####....##.....#.
.....#.##.......#.#.#.....#####..#...##########......#..##.....###....#..##...##...###....#..#########......#.............##.....#####...#..............#...#...#.##......#######.........#..###########.#.....#.######....####....#....##.......#.......##..###..#.#####..#######...##.######...#..#.......
........#......##.......####.#..#....######...##........####.....#..............#..##.#......##########................#...#.#.#..###.........##.#......#.....#......#.....###..#.....#...#....######.........#.###############....##.#....#..#..#.##....#....#...########.###......#...#..##......#....#...
##.##........##......#......#......#.########........#.######.#..#.......##....................######.............##.#......##.########.#..#...#..............#....####....#...##.###.#....###..##.........#...################.....##..#......#.####..#......#############...###........###..............##
..#..................#...#...##.##.#.#######......#..#####.######.....###...#........##.##.....#..##..#####......######.....#########.#.......###......##....#......#......###.....##......##.#.#..#......##...##################.#.#.##..#.....##.##...###....############.#.####.......##........#..######
......##..###..#....#####..#...######.######.......##..##...##############.......##..###.........#.....#######.##.#####...###########......#.#.##...#...#.##.#......####...#.####.#.#.......#....#..#........####...#.#.#####.##.###.......#.########...####.#.##############.###....#.......#.#.#..#...####
##.........#...#.....##.....#...#.###.#.####..#.#.....#.##...##..########..#..##..#.........#.....#....######.##.#######..###########..#.#.....#######.....#......#.#####...#.########.##....#.........#...#####..#...##.###########.#..#....#######.......###.#############.#####......###...#.####.....###
......#..###..##.#...####.#..#..#.....#...#.#......#...#######.#..##################......#....###.......######.###.#.#...##################..##..#.#...#.#.#....#.#.###...#######..###...............#....##########.###.#.##..#######....##########........#....########...##.#.#.#...#.#..#..##......#.##
.#..###...#...........#..#..#######.......#.#...#..###..####.....#.##########.#####..##..#...#.##....##...#.##............#################.###...##..#...#...........#.....#.###.#.####..#.......#.....#.###########..###...#..######.#.#..#####..####......#...#############.###...#...###..............##
.#####...#........#.#......########...##....##...####..#####....##....#######.##########...#..####..#..#....##...##........###.################.#.....###...##..#....##.#..#..###....###......#..####...###################.......########..###....##..##........############..###..#....#..##.#..#.#.....#.
.#####....#..##...#...##...##...#####..#.....#.#..###..######.....###.##.#..############..#.#####.#.....#.....######....#..#..#############...##.#....###.#..#...###.##########...#..#.......#..#.##.####....##############..#....############.#...##########....##############..#.##..#.##.#..#..#....##.#.
##..#####.....#..######..#..#.#.####..#..##.##.....#.#....##....####.#.##################.#....#.##..#.##.....#.##..###..##########....####..##.......#.....#.##.#####.#.#..##.##..#....####..#####..##.##...##########...#.#......####.#####.....#.#########.#...#############..######.##.####..#..#.....##
#.#.#####.......##.....##..###..#.#.#........#.#....#.##..###...############################...###...#.##....#.######..#.###########.#.#.#..#..#...#.....##.###.##.##.#.##.....###.#..##..###..#......######.##########...###.#......##..###......############################.#..######.....#.##........##.
##..#####....#.#####...######..#.#.###..#.#...#...#.##....####.############.#################..####...##############..##.###########..............#..#.....#.####..###.......#.#.##...#####....##.#.#...#.#..##########....###........#....#.......############################....##.#....##...#.##.......#
##....####.#.#######...#######...#..##..........#.####..#.#.#.#.##########################.##..####..##############.#.################....#.#.#.....##.#.....#.#....##......######....#####..#.....#...#....#########.#.#.####.......#.....#......############################....###..#....#...#####...#..#
##.....###...##################....#.##.#..#.......###......############################...##..####...###################.##############..#..#...#.####........#....#....#..#.....#...#####.#.#.........#.#.#######..#.#..######..........#..#....#####..######################...##...#...##.##.#####.#.#..
###...##.##..########.########..#....##.##..#..#..##..##....#############################..#..#.....#.###################...###########...####.###..###.#.....#.....#...#.##......##....#####.............#########.......########.##......###...#....#..#######################...##......####.#.####.#....
.#..#####...####################.....##........#.##.######.######..###########################........################################..#..#...###..####.....#.......#...........####.#.#####...##........##########......########.#................##...######..################..##..#...###.########.....
....######..####################.......#.#......#..#.##..#....#####.#.##################.##....#......#..#############################..#.##..##########...##...........##.##..###.###########.##..##.....#..####......#.#########..........#.#.#....#...###.##...############....#.##........#####.##..###.
...##########..#############..##.#.##.#..##......#######......#.##..#....##############...##..#..##....#.#############################.###....#.#.#######.#.#.#......#...##.#.#.################.####.....#.#.###.....###.#########.#.#...####.....#.#...######..#############.#....#..#.#....#.#########.##
.#.###########..##....######..#.###.#........#...########..#....#.###....###############.####..##....#..#..#######.##.#.###############.#...........#.##....##.#..#.####.#..#....###########..#...#.#.....#...#.###...#.############.#.....#.#....#......#.#.#..#.###############.#....#.##.....###..#####.#
#..##########...##..##.#####...#........##..##..########.#...##.###.#....#.############.#.##.....##........######.#......####.###.#####....#...#.##..###..######..###...##..###...########......##.....#.........##.##..##############.....####...........####...################.###...#..#........######..
..############.########.####..#............##....######......#.###..#........#.########...##....##.##.#.#....#.##.......#..##..#.##.....#...###.###..#.#.#############...##..##..########....#.....#.####..........#..#..######.#####.....##............#.####...##################.#..##.#..###.#.#.#####..
#############..###.###.#.###......#.#....###############.....#.#...##..........#######..###.......#..#..#.....#..#....#....#.#..####......#########...################....#..#..#.######...#..#.#..#..###.#....##......#.######.#######...##...##..#....#.###.#..##################.#.#####..##...#######..#
###########....######..##.....#.#..#.....###############....#####......####....###.####..###............##.....#..#..........########...###########......###########.....#.#....#...#.###.####.##.#...#######.###.....#...#####.#.#######.##...###.....#####..#..##################.#######..##.#.####..##..
#########.#.#..##....#####..#..#......##################....#.#.##......###...####.##....#...#..#..........#....#.##.#......#.#####.#.##############.....##########.####........##.#####...###.....#####.#####.##....#.....###...########.###..###.......###.#...#############..###..######.#.###..#######..
###########...#.#...##########......##.#################.##.........###.##...##.#####.#..#.......#.........#..........#......######.#...#############.#.##..##########.......##......#####.##.#.#.###.#######..##......##..####....#..##..#..##.##...#..####.#.###########..#.######.##.#..#.###...#.###.##.
#########..###....###########.#....###.##.###############.........#######.....#####..##...............##.###...#.#...##.#.....#..###.###############..###.############......#.......#######....#..#.#....#####........##.#####..#.#............#.##..#####........########....########.#...###.#..#.########
#######.#.#.###....############...##.###.##..##############...##.##.###.#..#....########..............#..####...................#.#...#################.#.#.########.###.#..##....########.#..###...#.########..#....##..##.......#....#.......##.##.#.###....#...########..#############.#....#....###.####
####...##.#....#....#######........#.#.###...##############..##.#..###....#.....#.##.###....#....#...#..#####..###......#.#..#.....#.################.#.....#######..##......#..#..#######..##....##...##.#...#....#...#.######..##....###....#.#.#..##..##.#...#.#########..#############.....###...##.####
.#.###.###.......#..######.#.##.#.####.####....#.#########.#.#.#...###.........#....#.#.....#...##.#.....##.##...#...##.###...#.....#.#############..#.......#########.......##..########.....#....#.#....#.##.#......#####.#####.#........###.#.#.##.#..####..#..#########....#########.......###.#.###.###
#..#.####...........##.##.....#..##########.......######......###.#.#######...#...##.#.#....###...#...###.###.#.#.....##.##...##.#...#############..#........#########...#..###.....##.##.###.##...##......###.#..#.#####.##...##.##.#...#..##...##..##..#####..#.###..####...####........###...###.#..#.###
.#....###.##.#......####....##....#.#######....#..######..#..######...#####.#......#........####..#..#.######.#.#...#......#####.#..###..########.....#..#....######......#..#####.........#####...#....#.......#..#######...#########...#.####.#.#.......####....##..#####.###.#.#.......##.#..#####.....##
.######.###.#........##....##....#...######..####.#..##....#..####......#########..##...#....##...#.....###......#.........#...##.#.#.##.##.#######.#..#.....##.####.........#.###......#.##.###.....#...#......##.#######....#######..#.#.##.###....#.#.#########....#.#######.........#..#####.#.......###
..#########..#.....##.....#........########..#.##.#...#....##.####.....#.#############.##....#....#....#...#.#.#.##.........#.#..#.##.####....####.####..........##....#.......##.##....##.#....#..........#.....##########.#########.#.##..####.........#.#######....##.#.##........#....########......#...
#.###...###...#..#.....#.##...##...#.####.###...#...##.####..####.#..##################.#.#...#...###.......#.#####.............#..##.#####..#...#.#.####.#.......##..##......##.#......#...#....##.##..####....##.###.#.#..########..####.######..........#.#####...#.........#.....#...#.######..##..#....
.##.....#.#.#.......#......#####....##..#....#.#..#..###.##..#.##...####.###.#########........#...........#..######..........###....######.##....#..##.#...#########.#..#.#.##......##.............#.............######....#############...###.#....###...#..###....#.....#..#.#.#..#...#.########.#......#.
#####.#...##.....######..######..####.#.##...####...#.###.######.#..#...####.#######...#...#.##..........#.########.##...#.##.###.#.######.....#....#.#..#.######.##....#####...#..##......#.....#.#........##....##.#...##############..#..###..###.##..............#.#...##.###...#..#..######.####.....#.
..#####..###.......###########.....#####.#######......###.#...####.#.....##..#..####........##....#...#..###...###....#..########...##########..#....#.#....########....#####.....##..###.####..##..#.#......##.#####.#.####.#..#######..#...#.#..#######.......#.........#.#####....#....##.#.######.....##
.######...#####.....##########......###.####.##....#...........######.###...#############.###.#..##..##.#..#.....#.......########...###########.....#..##...######..##.#######...###...#....#...###.####......##......#.###....###########....##....####...............#...#.#.###..##.############..##.....
.######..#######...############....#.#.##.#.##.#.........##.#...#######..#..###########.#####........###.#........#.#...########...#..#########.....#.#...#######.##..#########..#...#.....#...###..####.#.........#.#..#.....#..#########...###..##.####.####..#.######...##..###.###..#####..####....#....
..#####..#######...#############........#..#.#....#....#.####...######......#################.#....#.###..#..#..###..#...######...##..##########.###....#...#######..##.######..#..#.##...###.###.##...##..#.....#..#.#.#.......#########..###...##..#.#.##.#....#.######......##....#.##############.####..
..####.#.#######..##############.....#...#...#..#..#.##.#.#####....#..##...#.#.#####################..#....######..........####..#....#####.###..#..#..###.#########.....####...#.....#....###.....#..#####...##....###........#.#.######.#...#..###..#..#..........#####.......##......##########..#####.#.
..#####..##..####..##############.#....#...#.##.##.#.#.#...#####.........#...##############.......####.#.########.......#.#.#......#........##......#.##############.#.#..######....#......###.....#..#.###......#..####......#..#..#####..#..#.....#.#.#.........########......#...#.#############..#####..
.#####..#..######..#############.#..............##..#.#.#.#.###..............#############..###..#####...########..#..#......###..#...##.#.#..#.....##..#####.#####..#.##..#####......#.#...###.......#..###..##...###...#......#..#####...#..###..######..####.###########....##...#.#############..#####..
.###.....#....#.#.##############...#..###.......#....###.#.#.##.#.....#......###################..#####..############........###........#............##########..####.###.#####.#......###.####.#.#....####....#..###.#.##.........#.#####..####.##.##.....####..##########.....#.....##.##################.
####......#......#.#############.##..###.#.....##....###..##..##.........#...#################..#######.#..######.####.....######.......#..######.############.####.....#######........####.####.##...........#....####...#.......#.....###.###...#.......################..#....##.####....####.###..#####.
######....#......################.#..............#.##.#...#...#.#.#....##.....################.#.#..############.##.#.#......######.....########..#..############..##...#######....##...##...####.#..#.#..#...##...#.###.................#..##.#.#.#......#.###.###.####..#.#.#.#....#####...##.###...#####.
####.#.......##.######.############.....#..............#...#...##..#..###....####.##############.#....#########........#....#...........########.....############.###...#######.....##..#...#.####.##.#..##....##.....#####...#...###...#...........#.#..#..##.###.###..######.....####.#.....#...#....#..#.
###.#.#.......#####.#.#######.#.#.....##.##..................####...#.##..######..################.#.####.######........##....##..##....######........###########..###..#######.....##..#.....#####.##....##.....######...#.......####.#.........#.##.......#.#.#.#.....#######...##..####........##.##...#.
####.#...#...######..#######...........##...#..#...#....#...#####.##...#########.##############.#.###.#.#.########...#...#.......#.#....#####...#...###########...#.###.####..##.............##########.#.##....#####.##.#...#....#####.#.#......#..###.....#...##...#.#########..###...###....#...#...##..#
.....#......################...#.#....####...##......#..##.####...#...##.#####..#################..#####..#...##.#.....##.....#.#.......######.#.#..############.##.###...##.....#...#.....#..######......####.#######..##.##...#####...###.....#.#.#####....#.#...##.#...#####.#####.#.#.###...........#.#.
......##..###.#############....#..##..####...#.###.....##.#####...#.###..#.###...#############.#...#####..#.#.##.......#.......##....##..#..#.#.################.##..#..#####...#..###......#..###.#....##..#.#######.#..####.#.######.####.####...#########..#..#.##...##.######.##..#..#...#.#...##.....#.
.....##....################.#.###...#.###...#####..##....##..#######.#.#..##..#######.#######..#.#..#####.#...#####.#.....##...#.....###...#.##.....###############...#...###..###.....#.#..#....#.#..###..###########..#####.#.####.#...###.####..##########...##.###.##..######....###..#....##..###...#..
..#......#################..##.###.######..#####....##.##..#..########.......###.#########.###.....#...#...#..####.#.....#.####.##...##....#####....######.##.###..........##...###..##....#.#...#....##....###########..##....#.###.#......###...###########.#.##.##..#...######.#..###.......###........#.
...#.#...###############....#.#.#...##..#.#.######.#....#....#########.....#####...#.####..#.##..#.#...#....#...#.#.#.#..##..##......##.....###.#..#........#.####......#......#.#..#...##..#.#.###.........############........##...#...###...#...##############...###.##########...###.......#.#.......#..
..#..#...###############.........#....##..###########.......#..#####...........##...#.#####.##.....#...#.#..#........#....#####....#...#.#..##.............#.###...#...........####.##.#.....##..###......#...####.###.##..#...##.#....##..#....##.##############.#.#....########...#.##...#......#.......#.
.........###############....##..##....################.#...#.#....#.#...##.......#......#..#.........###.#..##.##..........###..##.###..###.###.#.....#..#...##..###..#........#.#.##.#.#.#...#.###...#.#....#.#.#......##.#.....#.##.###...#....################......#########...#####.#............#..##.
#.#......###############.#.#...#..#...#############..##....###.........##..#.#...#.....##.#.........###.##.....###..#.#....#...##.##...#.######..#.........###......#..........####.#....###.....#.#...##....#.#.......######.#..######......#.#..#.############.......#####.###...#####....#.......###.##..
##.......###############.........#######.##..#####..##..#.#.#.............#.#..#.......##.....#..#.#.####.###.#.#....#........#####.#...##.###..#.........###........#..##.#..######.#....##...........######...#....#....##..#...#####.....#####...############..#.....##....#....#.#.....#....###.###.....
##..........##########.#.........#########...#...#.......##....#....##..#.#....#......#.......####....#.#..###.......##........#####...##.....#...........#.....#......####....#.##..#.....#........#########.######.##..#........#######...#####.#.###########...........#.#..###..#.##.........#..##.##...
#...#......###############........########.......##..........###....##....#.....#..#........#.#...........#.##...#....#.....#.#.####..##.#....####...#....#....#...#..#####.....#####.#....#....##...#############..#...#...###...######.....###.#.####.######................####..#...#...........#....#..
...........##########.#..##..#.#########.#..#.#...#........##.#.......#...#.....#....#.........##.........##..###...#.....####....###.##...#####.#.......###...##########...#...#.#.........###...#...##########.....#...#.#.#....######...##..##.....########...##.......####.###....#.....#.#.##......#.##
.#..#.....##########...#..#...#######..#..........#.....#..........#..#....#.........###.##....#.#.......##.#.#....##.##...#.#...#.#...#..#####..#.......###....###..#.#...###.####...........#.##.#.###########...##.......###.....####..#............##...#...##.......#####.#...#......#....######......#
..####....##########......#.#..######....#......##................###.##......##....##..........#........####...###...###.#.##..#.#...##.#..##.#.......#.###.#...##.##.#.#.#######...........####.##.##########.....#...##....##..#.##.....##......#....#########.####....####.##........#....#....#####..#.
.#.#.....#########..#....##.....#..##......##..#.#.....##.......#.#..#####.........#....##......###.#..#..####..#.#.......##...#.##.#...#...#.##......#.......###..###..##..#####..##...#....###...###########.........##....#...#.#...##.####..#.#.#......#..########.#.###.###......#.#.....#....#####....
###.......############.....##.....##.......####.#...#..#..........###..#..#.#...#.....#.##.....#......#######.#.###....#......#..#####..#######.#....#........###.###..##.#####..###........####.#.#.##########.........##....#..####...#..##...##....#...##############..#.....###.##..##.....#.....##..###
###....######...#.####..#..#.......#.##....###.#......#.#........#####.......#..##...######.........##########..######......###.#.##.#.######.#.......#....###..###..#..##.#.#.....#........###.#......###.###.#..#.####.##.......####.#..######..#..#.#...########..####........####..#....#........#....##
###..#..#.##......#.###..##....#.....#.#.#####.##.##...#.#........####...........#..#######......#.##.########.##..###..#....####.#.#####.....#......#......#...#####....##.##................###...#....###...##.#.###..#...#..##.#.#.#...#.....#.#.#....##..###....##.####.#..#.#.#####....#...##..#.....#
#....##........#...####..##..##.......###.#.##...##.#.#..#...#....####....##.....#...#####..#..####...#######.#.#######.##..#####.##########...#..........#.##...####..###...#..##.#.#........###....##..#.###.########.#....###....#....###........##......#.####......##.###.#...##.##....##..#..#.#.#....
..###.......#...........##...#......######.....####.###.......#....###.#.##.....#..#......###..####...#.######.########..##.#..##..##.#####........#.##......#.##.#.##.###.#......##.#.......###...######.##########.####.#..#...#...........#..#....##....#.######.###..#.###.#...####........#...####..#..
#.#....#....#.........##.##.########.#######.#..#######..#######..#.###.#....#.#..##...#..##########......#.#.########.#..#....#.###..###........##.###.....#################.#..###....#.#.######.#####.###########.########..#..##......###..#####.###......######.......#.###....#.#...##...##..#......#.
..##.....#............#...##########.#################.#.#######...#####...#.#.#.....#......########.##......#..#######.#.#......#......#.#.#.#......##.#......###############..###.#....###.#########################.####........#.....####.####....###.#..#.......##..##.###....#...........#.#........##
.#.##......#..#......#....###.###.#.#..################.#.######..#..#.##..#...#....#.....#########..........#.########....#......######......#..#........#####.##############..##.#.....#..######..####..############..#....#####.##....#..######.##.......#.....#........#####..........##..#...#...#..###
#........#...##...#..#...#####....#..#.###############..#...####...........##.#....#..####...#######..####...##.########.......#.#.##.####...#.#..........##...###############....#........#######...####..##########........####..###...#.#######.#.#.##....#.##..###.#....###.#....####.####....###....###
#..#....#.##.....####.#..#####...#...##################..#...##........#...######.##....#...#######...#..######.########........#...#.######.##.....##..##.#...#..############....#....#.#..#.###.......#..#########..#.....#########.##.#..#################.######.......##.#.#.....#.######...######.####
.......#####........##...######.#.....#############.#..#...#.##.#.....##..#####........##..#...#####......###############..##.#.....########.......#.##.#.#......###########.##.........#.....##...#..###.....#####..#......##########.##.#..################..#######..#.####....##....#######...#.##.#####
......##.###......#.#..#..#####...#..##########.#..####....##..#.....#..#.#####........##..######..#.......##############.#.......##...#.##..#..##..#.###.......#.##########...........#.#.......###..#####..#.##.....#.#..##.########.#.#.##..##.##########.#######..#...#..#..#.#....#..#####.#.#..#.#####
##....#.#.###..#....#...##...##.......##########..######..###.#...#......########....##.#..########...#..###############.....#.....#......##.##..###..##.#....#....########.#....##.#....####.....#..#######..###.#..#.......#########.....#..#...####################..#..##....##...##..#.#####.........#.
....###.##.####...###..###..#.#.....#.#..######..#.####........#.#.......######....#.###..######.###....#.#############..#.#.#..#......#.#.##.#..........#....#..#..####.#.....#.##.......#####......#######...##........#....#####.#.#....##..#..##################...##......#.###.#.#..#.##.##..#........
#.#######.###..#...........#.##....#.....###.##....###............#...#..#####......#....#.#####.##.....#.#############...#.#..#.....###..##.#.##..##....#....#..#...#..........#.##...#.#####.....##.#####.#..........#.#...##.#..#...#.#.#.#.#..##################.####......#####.....####.#...#...##....
.##..#...#.##.#..........#...#..#....#..###....#...#...#..#.#....#.......#..####...#....######.....##....####.###########........##.#.###..#...#..##.....#...#...#...............##.....#.###......########...#......##.#.#...##......##.####..#...#.############.##.....#.#...#.#.###....##.........###.#..
.###....#....#.##..#.....#........####..####..##..##.........##..#............##....###..#####...#.##..######..#########.......#########...##.##.........###......#...#...##...##....#...######...#....#.#.....................##.####.#....####.....#############.#.......#...##....#.#...##.............#.
...#....#.##...#...........#...#..###...###....###.####....#........#.#.....#####..#.#########....###.##.##.#.###########...###.##.######..####...#.#.####...##...#.....##...#.#.........#####............#....................#....#.#.###.###.....###################..###..#..#...###...#..#........###..
###........#..#..........#.#...##.###..####...###.####......#....####..##.##########.....#.####...##..#.#.###########.##.........#.#..####.###...#...##..##.##.#.....#....#....#.##...##.#####....#.#.....#...................#.#......##..##....#...################...................#...................
####.###.......#............#..#.#####.##....#####.###.##..#...##.###...##..#.####.........##.#.###.......##########.......#.....##.#.###...####............###.#.#.....###........#.#....###.....#..#.##.#.....#...........#..##...#.###.#######...###.#########...###.......####.....#.##.................
###.#.##.#.#................######..#.###......###.####..#......####...#.#....######.###...###.#...##......#########.#.....#.........######..###.#.....#.....#..##....##............##.....###.....##..#.##.......#........#.#..##..#.....#######........#########...#.#.#.#######......####....#.##........
###..####.......##.........#.######..#..##..#..###...###........####..#.....#.#####.##.#....#...#..#.#..#########.#.##.......#.........####...#..............###.##...#####.#...##..#....#####..........###......#...#.#..#...#.#...##.#.#########..##...##########.#.....###.#.#.#.#.#.####....#.#.#.#.####
.#..####.#..................#######..##...#..........###...#.#...###.###.......#######..............##.##..######........#..#.####..#.#.#..........#........##.#...#...######....#........#####..#..#......................##...#...##############.#####.#########....#..###....#.....#.####.........#......
.######.#.....#............#########...#..##.......#####..##..#.####....##..#######.##.#.......#..#####.#########.....#.#......##.#...#######....####........#.#.#.#....##...#..#.......#..#........#...#.....#..........##....###....#####.########..##########........#...#..#....##.#####..#.#....#...##.
.###....#..#....##....##...#########....#.##......#.#..#...##.....###..##...######.#....#..#........#############...#.#.#.......#..#...####.#....####.....#.....#......#.#....###.#......#........#............#.#.....##.####...##....###..#####.##....##########...........#.......###########....#...####
#...............#.#.###.....########.#.........##..#.......###....#####.#....#####..#..#.........#..##############.#####.#.........##.######.....####.#.........#.##.#......#.###..#......#....##....#.#.#.....#..#.....####.#.#..............#...#..###########...#........####..#...############..#..#..##
...#.....#...#........#....#########..#........#.##..#......#.#..#..#####....####...#.#.####....#.####.#########..######.#.........#..#...##.#..#####........######........##..#..........#..#.......#..........##......##.#.#..#####.#.....##.#######.#######...###....#.....###....#..###########....#####
.#.#.#..###...###...#..#..###########..###.....#######.#............######.##.####.#..##..##...##.....##########.########.....#........#.....#...####.###.#.#######...#.#...##...............##.....###....#.....##.....##.##....#.###.#..#...##########.#######.####....#.#..#..#...#.###############..####
.#.........#.......#.##.#################.....#..######.#.##..#..#...#######....#.#.#....#.#........#.######.#.##########..#.##...##.####........#.....##..#######..........#.#.............#####.....#.#####.#..##.#...#.....#.....#.#.###############...##.##.#####.#...####...##....#######.########.#.#.
##.........#.##.#.#.####.##.########.###......#########....###.#.#...#######.#.....#.##.......#..#....######.#.###########...###..#.####.#..#....##........##.#######...#.##..##.....#...#....#.#....######........#...#....#.......###################.....##...####..#....#......#...########.###.####...#
##.#.......##..#...#####..#.#############.#...##########.######......##########...#.#.#..#.....##...########....###########...#..#.########...#######..#.....#######..#........#########....#.......########..........##...#.#......#.####################....##...##..###......#......############.#####.#.
...#.#....#######.##.#.##.#########.#..........#########..###......############...###...........#####.#####.#.......######.......########..##..#####.##...#....#####...#.....#...#.######...####..#########.....##.....##..##.#####..#####################...#.#..#...........#.....######...#..##...#######
#..#####..#.####........#..#######.......#.....#########.#####......############.#.#............##...#######........#######.......#.########...###.###.##.#....###.#...#.......#..#######...####..#########....#.#.##........#.##..#..##################.....#....#....#.......##.###.#####..#####.##.##....
##########.#...........#...#..###...#......#..##.######..#####.#...#.##########..######....#....##.....##.##.......####.##.##...##..######.#...##..........##.###...##.........#...#####...#.###########..#...####...#.##.....#...#..###################.....#....##.#....#...#####.#..#########.....###.#..
#########...#.....#...##.##....##.#...##.....#...#########.####.....##...######.#.#####.........##...#....##....#...####...#...#.##.######...#####.........#...###.....####.....#######...#..#.############.....#........##......#..###################.....#....##..#.......#######.#.#####.###........#...
#########.......###.......#.#...#..#..##......#..#####..#.##.##..#..##.###.....#..######.....#.#.##....#.###.#.#...#.....#.#.....#...###.#.##..##.....#.....#.###...#....###..#########.###.#...##########.......#..##...#......#....##################....##........#.....##########........####..........#
#########...##...........##......###..###.......#########.#.###...#...#..###..##.####.#.#.........#..#...###.#................#....##########..#...##..#..#...#####.#...###################.....######.###...........#.#.#...#..#...###.#.###########......###..............#.###..###..........####........
#############.......#.#..#.#.....#.....##.........###.##..####...###.....####........#........#..###########..#.....#..........#........#...............#...#####........###########..######.....###.#.##.#.#...#...#..####...#..#.####..#############.#..####.......#.....#.###......#.......#..#....#..#..
.#####.##.#####..#.###.#.#.#....#.#.##.#########..##.#..#.#.#....#.....##...##.......#...#...#...######.....#......#...#.#..#....##....##...#.....##.#..#.#######....#.#..########....####...###..#............#####....#..#######..#.#....########.#.##.#####...........#...........##...........##.#......
##########.#...#.#..##.##..##.#####..#.#########.........#.###.#........#.#..#.......#....##....#######......#.#...####...####...##...##....##.##.#...###..#######.........#..####...##.##..#.##..............#########.#.#######.....##...#..########.##..####..##.######..#..#....##....##.#....#....##...
.#######...###..#.#.##......##.#####.###.##########.......#.#...#....###.#####.#...#####.#.......##.###.###..##...######...###.#...##.####..#...###.#...#...#####..............###.#...#.#.##.........#..#...###########..######.#...##.....########....##..#.##.#.#..##.##.....#.............#..##.#.#.....
..####......##...##.##.......#####.#..#######.######...#..#.#..##..#.##.#.....####.#####........#.###.#..#...##....#####..#####....#....##......######......####.#........#..##.#.#...##........####...#...#########..##.#########....#.#..########......##..###......#.#......#........#.........#..#......
.#.....#.#.#....###.......#...####..#.######....####.......###......#.#......#####..##..#.##...#..####...##.###.##..#############...#..##........#####.....#.#.......#...###..######.#....#.......##.###...#########..#.#.########..#################....#....#......#.....####.#...#..#..#..........#......
.##...#.####.#.##........##.....#...#.######....####.......##.#......####.....####..########....##.#######.##.##.###############.#...#.......###..####....#.....#.....#..###########...#..#.#...####.......##..##......#######.#...##################..##.....#......#..#..#......##........#.........#....#
#..#####.######..##.##....###..###...######......##.##...#.#.#..........#....####.#####...##.#..##########.##.###################..#........###..##.#..#........###...#..###..#####.......##########.####..###.###....#########.....############...##......######....#......#.#..#####...#.##....#..##.###..
....###########.##.#....#...##........#####...##.......####..#.........#......###...###.#####...##########.##....##..#########..##...#...#...##..####...#.........####.#....#.#####...#..#.####.########.#.#####.##..#.#.########...############..#.#.....#######.#..##....###....#######.......##..######..
.#.##############...#....#####......##..#.#....#.....#...###........#...########.......#...###...##.###......#.......####.####.#.....#.##.#....#..####.##........####......#..####..........#....#######..#####..#........###.#....#.##########...#.####.##########......##..####..#.####.#.#..####..######.
..#.###############.#.#..######.#....##..#.#.###......#######.###....####..#####.......#.......#####..##..#.#.#.......#...###.#....#.##.#....##...#...#.#........###.......#...####..#......#....#####....##..#....###...#.....#.#...########........###..####.##.######.#.....##...###.#######.##.#######..
#....###########.#.#.....#############....#.####....###############..#.#...####...#.......#...##....#..####........##.#...#.#.##..#####.......#..##.###.###......#......#.....###.##.#........########.#.##..#..#...#..#####..###.....######...##....####.###.##.#######......##....###.######..#.######.#..
.....############.##......#.###########.#.......#..#.###############....######.....#......#.#..............#.......##.##.....#..##......##..........######.#.#........#...#....#.####.#..##..#.#.#....#####..........#######..##.#.#..######....#....####..###.#..#..#....#..#####..#.########......##..#.##
.#....##########.###......#####.##.####....#......#.###############...##..###...#####...............#.#....#......#....#..#....###.#...#####..#......#####..###.#.............##..######.#.##...##..#########....#.....##.###..#.#########.....#.#..#####...#..#.#......#.....####...#...######......#######
.#..#.########....##..#...####.#....###...###.....##############.#######..##.#...#####.....####...........####...###..#..#..#.#..##....####.####..###.####.#.###........#...###.########......#..##.########..#...#.#.#.###.....######..#......##....####..######......#.#..#.#####...###.##.#........######
.#..###########..###......##.####..#.###....#....################.####..#.###..#....##.....####..#..##....####..#####..##.##########...###..####..#...#.#...##.........##..#..#..########.#..........########......#..##.##..#..#.#####...#..####..#.#####.####.........#.#.#.#..#....#####..#.....#.#######
.##...#########..##.#.....####.......#.#.....#....####################.##..###..#..##...##..###...####.#....#.#######.##############...###.######.##..##................#.##....############.#.....#.#########..#.#.#....##.......####..#...#####.....####..##...#.......###.......#..###.##.#..#....##.####
.#############.#.#######..###.....#......##.##.....##############.####..##........#..#.####.....#.###.###....#..#####.###.#########..#.###..#####..#..#...#.......##....##.#..#.############..........########...#.###.####......##..#....#########...#.........#.....#.#####.###.####....##.####...##...###
.#.##############...####..###...#..###...###.....###############.#..#..#...#.#..##.....###.......#########...#.#.####.########.###.#........###.#####.#...##...#.##....##......#.##########.......#..##########.###..#...#.#...............######..###........#...#...#.####..#.##.#....#..#####....#.######
##...#####.#####.#.#####..#.###.##.##.##...........##############..#.#..#.....##.#...#.#.##..####.#.#######...#########.####.#....#....##..####..#.#..#..........##..##........#.##############.###.##########..#.#.........#...#...#......#######.#####.#...###....###.######..##........######.......#####
.##.#.##.###########......#.##.....##########....#################...####.....#.....###..#...####....####.#.....######.#####.....#.##.########.......#...........##.##..........################.###.#.#####.#.........#............#...#..######.#..#....#.....##.####.#.####..##...#########..#........##.
....#.#......######.#..........#...##.#.#.###..###################..#######.#..#...###...#..#.####...###.#.....#############........#.########....#####..###....######.........############...####..#..####.##.#..#.........##......##.#...#####.........#.....########.##.#####...##.##..######.#........#.
##...#...#.########.##..###....#...#.#.#.####.###################...#.########....#####.##..###############.....#######.####....#......########....###...###############.........############..#.###..###.#.###...##............#..####.#########...##.....#..#########.#.##....####.##...########...#.#####
.##.#...#############...####.....#.##..##......###.#######.#.##.#..#...###.##...#.#.######.#.############..#..##.#########.#.#.........########....####..##############..#..#############.##....##.#..##...#..#..####.....#..#.....#.#.#######.....###...###..####.#####..##...######.##..########...#####.#
...#.#.#..#########.....#.###......#####.#..#...#.#######.#..#....#############..#..#.#..#..#####.#######.......########...##.........#######..##.#...#..######.######.#..#.##############....#...#...#.#........####..#...###..#..##..####.###....###....##.####..####.#.#...#####..#...####..###.....###..
......####.#######......#.###......#######.....#..#####.#..#......#.#.#######.......##.###..###.#######............#........###........###########.#......#.#.###.#####.#.############.#...........#.#...##..####.####.#..#.##...###......#.##.....#..#...##.......####.....####.##.#.#...###.......###.#.#.
###...#####..####....#.#####.#...##########.#..#.#..###.##.....####..########.#....#.....#....#..####.#..#......##....#......####......####.####..#....##..#..########.##.############..###...##.##..#..#.####..#####.#...##......###..#...##.##.#....########....#........#.####.####.#.#....#.....##...#..
###..........#.####...#.#####....##########.......###.####....#####..#######..###..#....#..#.#.#######..#...##..#..###.#......##........##...#######..#.##.#..########################..#.##....##...#.#########.###...#...#.........##.#..#.#..#...#.#.#.#.#...####......#.####.####.#.#....###.....#..#...
####.......##..#.###...#####..###.#########....##.#...#..##..###.....#######...#...####..#.#..########.......#.#..##.#####...##.........#....#########..##.##.#########################.#.......#...##...#.#########.....####...#.####......##...#.#...######..#.###.##....##########..###.#.#####...#...#..
#####.##.###.....#.#..#####...#############.##.##....#..#.#...###...#...###.##....#.#..#......######.#..##......#.###.#.###..#..#..###.....##########..####...#########################.###...###.....#..#.##########....######...#.##...##.###.......#..#########....#.#....#######..##.##..#####....##....
####..#..###...#...##.#####....#.#.#..###..#..###.#.#..#.....#.#.#.#.#.####.....#..###.#.......########..###.#...#####.###....#...#.#.#.###..########..###.#.....#.#####################.....##......##.#....############..#.##..#....##.#........##..######....###.#..###..#########.#.#.....#.##....#.#.#.
...#......##.......#.#######.....#.#...###..#.#....#....#............##.#.#......#.######.#....#############.#....#............####.###..##.#########.#..#.####...#######################.....#.#.#####....#..#####.#.##.....###...####...#...........#######...#.#.#...#..############.#..#.##..#..#..#...#
..#.#...######..#..#.########.##.#......######...#..##...#..#..#......####...#....#####......#.#########.###....#...#.....##.##...###.##.###############.#######.#.##########################....###.##.#...######.#...##.....##.#.####...###.#....#...###...#.#####...##..#.##########.#####...#....###..#.
.#....#######....###########..###......######..#..#..##.#..##....#....####.........####..#.#..#########....##...##..#......#.##.....#..#.###.########....##.####..############################....##..####.######.#..##..##.....##.####...#...#.....######....#####...#..##.################..###.#..#####.#
.....#######..#..###.#.######...#..#...#########....##.##.##........#....#.#.......#.####.##....#######........####........###............############..##.#####.#.##########################.....#...#....######...##......#..##.####.#..#..#.#.##..####.....##...#..####..#################...###.######.#
.....#.######.#...#.....##.#..#.#.#.....#####.#..#.#..#####...#####......#...##....#........#.#########.##.##.#.###.....#.######.##.#...#..#.##.######..##..####..###########################..###.#..#...#####..##.##########.#.#.####..#.......#............#......#.......###############.#...###########
..#.......##..........#####..#....#.....########......#.##....######...##....##.....#....#.###########....#...#...##.....#..#####.##......#####..##.####.#..####.######################..##.###.#...###....####.....############...####......####...................#.##....#################.....##########
.................................#...#..########....#.##..##.#######..####...###...#.#......#########...#.#......##.#....#.###.#..###.............#####...#...###.####################.#..#.#####...##.....#####.....######..###.##.###...#...###.#...##...........#####....###############......#.#########

16 255 275 3 1
.#...#....#.#.#.....#.......##.##..######.#.....#..#..##...#.##..#.##.#.#....#..##.#####.#.##.####..#..#.#.######.##.#...####.#.######.##.###.#..#.#...#.#.#.#.##.###..####..###.####.#..####...#.####.###..##.##..##..##.##.###.#.#..##.....#...##..#.##.#..#.
.#.......###...#.#..#...#.#.#####...####..##...#......##...##...##..#.########.###..##..###....#..#...##....####.#.#..########.##.#.###...#.#.###.#.#######.#..#.....#..###...#..##.#..##..#...###...#.#..####.###..#.#.#.#.###.#.#..###...##.##.#.#.##.###..#.
.#..##......##.###.###.#..###..##...#########..##.##.#.###....#.###.#.#.##.#.#.#.###..#.###.#.##....#.########......#..#.#.##....##########.###...#.#..##..####..#..##......###.##.....#.#.###.#...#........#.##.##.##.##.#..##...###.######.#.##..#.###..##.##
.##.#.#.###..#..###.#.....###.#.##.#.#...##...#.###.#.#.#..##.#..###..#..###.###.#....#.#.####.##.##...#.#.#.###..#....#.#.#.##..#.....#..#..#.##.#.#...##.#...#######....#.###.#..##.....#...#.....#...#...#.#..#...#.#..###...##...####.#.#.#.##.##.#.#.##.#.
#..#.###.#####.##.###.##.#....#.#.#####..#.####..###......#..##.#.#####..####.#......#.....####.....#..#..###..##.##.######...###.#..#.###.##.#.#.#.######...#.####..##..###.#...#..###.#.#.####....###.###.....##.####.#..#.....#.#..#.######.#.#####...#...##
#####...###.#...##...##.##..##....#.#####..#.#.#.###...####......#...###.####...#....#..#.#####..##.###.#.#.#..#...##.#.###.#..###...........######...#..#....#..#....#.#####..#.#..#.###.##.....#.###..####.#.###...##.#.####..#.##.#.####.#..#...#.#...#.#...
#...##..#.####.#####......#.#.##.#.#####..###..#####..##...#..##..#####.#####....###.#..#.##....###.#....#####.#...#..##.##..##..#.#.#...#..#.####..#..#.#...#...#.###..#.#.##..###.#.#.#...#....####.##.####....#.##.#..##.....##..##.....##.###.##...####.#..
#.#.#.#..#.....##..##......####.###..######.##.#...#..####..##.###.##.....#.#.#...###.###.#..####.##.###...#..##..##..###...#######...##...######..#.##.##.##....##.#.#.###.##...###..##.####.###..#.#####..##.##.#.#.#.#..###.#..#.###....####..#....#.#.##.#.
..#.######.###.#######.....##.##.#.#.#...#..##.####.#.#.####.#..#.##.###.#.####.#.#...#..#..#.##.####.....#.........#...#.#.##.....##.##.##.#...#####.........#....#.#...###...###.#.###....#####.#..#####.##.#.#.#.####...##.#...#########.#####..##..#....#..
#.####.......##.#..#.###...#.......#######....##.#......##.#....#####..#.......###..#####.##.#.#..#..####......##...#..##.#.###.....##..#####.....###.#.####..###...#......#.#.#..###.##.#.##.#..####.####.......#...###.#.##..#..#.##..##...#...#...#######..#
.#.##.....#.#..#....##..##..#.###.#.##..######.#######.##.#........#.##.#....##.########.##.##..###........##.#...##..#.##...##.##.....###..#.#..####.#...###..##..###..#.##.###.##..#.###...###.####....#..##.##.##....###.#..#.#.....####.##..####..#...####.
.#.#.###.#....####.......######...#.##..#.#.#...#.#.###.....###.....#..###.#.#######.#..##..##...#.#.#....###.####....##.###.....###.#...#.###.####.##..##.#.###.#.#..####...#..###......####.##.##..#.##.##..##..##.#####.#.###...#.#..#.#.#....##..#.#...#..#
###..#....#.##.###.##.#...###.####.#..####.##.#.###..#.#..#...#..#.#####..###..#.##..##.#.#...#..#...#.#...###....#.#####..#...##.####....#..#.#####.##...###########.#..####.###........#.##...#...#.###...#......###.#.##.#..#..##..####......#...#.#####.#..
.####..##..#.#...#...#.##..#..##...#.#.####.#.##.#.#.##...#...#..#.#.............##..#...##..#...###.##.######..#.#..##..#.###.#.#...####.#####.#..#......#.#..#.....#....####.##.#####........##.#.#.####..##.......####.#.######..##.##.....####.##...##.#..#
#....###.##.###.##..##..#....######..#.###..####.........###.#########.#.#.##.#...##.##......#..##...#......########....#...#..##.##....#..####.....#####...##..####.###..##.##...#...#.#####.###..#.####.....#...#.#.##.##..#....#...#.##.###..##..####.#####.
..####..#.##...###.#####.###.###..####..####..##.#...##..####.....##..#..#.##.#.##.####..#.#.#.#.#.#..####...#.####....##..#...#.....###..#.#.#..####...##...#.#..###..#..##..#.##.###..#.#.##.###.#..####..#.....#.#.##.#.#####.##..#.#.#..####..#..#......#..
.###.####..#.##...#..####...#..#..#..##########....#.##..##....#..######.##..##.##..###.#..##..###.#.#.....##.##.#....#.#...#.##.##.#.###.......#####.#.#...###..##.##..#######...###...####...###.#..####.###..##.#....#.#..#...##.#.....#.####.#..#.##.##...#
####.##..##.#.#.#...##..#....#.#####..#.#...#.#.#..###.#.#########...#..##.###.#..##.#...###.#####..##.....#...##..##.#####.##..##..##.##...###.##...########.##..##.#.##...######.#.#..#..#.###.###.##.#...#.#.#.##.####.##...#....##.##.######...#..##...###.
##.##..#..##.#.#..#.#.....#..##.#...####.##....#.#...#.###.###..#..#.##...##....####.##....##..##...##.###.#.#..##..#..#..##.#.###.##..#.....#.#..#.....###..#.#.###...#.#..##.....#..###.#####.#.#..###...#..#..#.#.###..##.####...#...#.#.###.#...#..###.####
.##.##.###...###..###.#.#...#.#######..##...#......#.....###.##.#.#....###.#.##.######..####..#.##..##.##.#####..#..##...#.###.#..#.##.######..###.#......###.#....##...####..###.#..###..###..#.##...##....#.......##..###.#.#..#..##.#####.#..#.##..#..##.#.#
...#....###.#.#.####...#.#..#..####.....#..#######.#.##........#.#.....#..#...#..#...#..#####......#.#..####.###.#..##.#.#.##.#..#.###..##..###..##..#.#####.#..#...##.##.###.....#...#.##.###.##...#...#..##..###.....###..##.#..##.######..###..#########....
#.#......#.###..##..##..#.######...###.#.##.#........###.##..##..####..####.##..#..#..##.##...#.#.###..###..#####..####.##.#.#...##...#.##.##..##.#.....####..#...###..##..#.##.#.##...###.###.####..#..#....#.########..#####...####.#....#.#.#.#..#####.###..
#####.#..#.....##..##.##.#..######..#.......##.##.#.#....#....#######.#.#.#.##.........#.#.#....##.###...###..###..#.#.##....####....#..#.###.#######....#.##..##..#..#.##..###...#.#.#.#..#.##.#.#.#......#.###.###.######.#..#..#..#....####.#.#.##.#.#####.#
#..#.#..#..#.#.#######....#.###..###.#.##.#..#...##.####.#.#..#####..#.#.###.#.#.....###..#.###.##.##.####.#.#..####.#...###..#..#..##.###.#.###..#......#.#..#...#.#.##.###....#..#...#..#..##.###.#..#.#..##......#.#.#..#..##..#....####.##.##.#..###.##..#.
..##.##.###..#.##..##...#..#....#.#...#....#.###.#...#.##.##..##.##.#.#..##....#.#.##.#.#.##.#..##...##..##.#.......##.#....#.####.#.#.#....#..#..##..###.###.###.##..###...#.......#..#.#..####.##.#.#....#.#..........###.######..###..###...####..#.#...##.#
###.....##.#..###.##....##...#...###..###.#.#...#.#.#...#...#....#..##...##.##.#....#.##.#.####.##..##..#.#......#.#.#..#..###.#...#####.#..#...##.#######.###.##.###...#..###...##....#####.#.#.#.#.#..##.#..#.######.#.#..##.#.#.#....###.###...#...#.##.##..
#.#...##.##..#.#.#.#.#..#.##.#..####.###.#####...##.#.#.###....###.#......##....#.###....#.###.#......##.##.###.#..###.#.###....#..#####...#..##.##..#.##.#.##..#.#...#..######..##...######..#.##..###.######.....#.##..#..##.#...#.#.###...####.##..###..##.#
###.###.#.####.##.#..##......##.....#.#.....###.#..#.....#..#...#.##.#.#....###..#..#..#.#.####..##..###.##..#...#.#.####.#...##.###.....#.#..##..#.#..###.####.#.##.#...#.#####.##.###..####.##....#.###.####.####..###........###..#.####.##...#.#.##..###..#
#.......#...###.......#..#####..#####.#.###.#.#...####...##.#.##..###..#.#.###...#..###.#.#..###..##.#.#.#.#.#..#...####...#...#.###.#....#.#.#..##..###..##.#.....###...#....###.#.#...###..#..##.####...##.#...##.....##.##.##.#...#.#.##.#.###.###.#.#.#....
#...........##.#.##.#.#....##.#..#.#.###..#..#..###.#...#.#.#...#.#.#..##....####.......#.#.##.#.#.##..#.##.#..#.###.####.##..#.#..#.##..#..#....#.#...###....#..#.#...#.#...#...###.........#...##..##..####.###..#...####.....#.#...##....#..#.##.##.#.#.#...
..##..#..##....#.##..###.#....##.###...##.#.....##..##.##..######.#.....#..###.##.##....#.#.....#....##.##......######....#..#.#.##.#..#...##.#.##.##.##......#....####.#...##.####.#####.#.#..#.######.#....#..#.#.##...#..###....#..####..#.##.#..##..##...##
###....###.#.#####.#....######.#....##...#...####.##.##.#######...##..#......####...#.#.##.####.#.###..#..###.##.....###..##.#####.##..#....##.##.##........##.#..#.#..#.###..##...#.##..#..#.###.....##.#...##..##.#.....#.#..###..#.##.#..##.##..#..#.#.#...#
..#####..#..#.#######..#.#.##...#.#..#.....#.#.##..##.###.##...####..#.#..###.....###.##.......##....#..#....####...##.......##......#....#...##.#....##..###....##..#...##.####..#.#.#.##..##.###.##.#.##.#...####.#####......##..#..#..###...#######..##...#.
.##..#...#.########.###...###.#.##..#..#...#......##....###.###.###...##...##..#.###...###....##.##...##.#..#....#......#..#.#...##.##.###.##.##.####.##....#####....##..#..###.#...##.###...##.####..#.#...##.##.#.##..#.#...##.#.##.###.##....#..#..#.####...
.####....###.###.#..##..####......#...##.#.#.#.#.#.###..#...#..####..#....##.##.#.#..#...#.##.#..#...#.##..####.#.##..##.#...######.#....#.####.#.......##.#..##..###.#.........#..#..###.##..#.#.#.....##..####..####..#..#.##..##...#.##.######.##..##.##.#..
##.#..##.##.#.#...#...##..#.###..######.####.###..#.####..#.###..#.##...##.##..#..########...#.#..#.....#.###..#...#####..#.#.####.#.##.#.##....##....#....#.##.##...#.##.#...#.#..##...##.#.#########.....##.###.#...##.####.###.######..#...#.#.##.##.#.###.#
....#.#..##.#.####.##.####.##.......#..##.####...#..#..#.#.#.##.#.##..###.#.....##.....##.#.....#...##.#.....#.....###....###...#.#..##.#...####.#.#....###..#.#....###..#.#.#..##.###..#####.#..##..#.#.##.#..###.#..#.##.##.###.##.#.##..#...###.#.#.###.#.#.
...#..##.########..#.##..#.##.##...#.....#....#.###..#..#..#.#..#.#..#...##.#.#.###.##.##....##....##.##.#.#...##.##.###...#..####.#####.#..#...##.#..###.....#..##.#..#.#...#....#.#...#..##.#..#.##.#.###.#####..#....#####.##...#...#.###.###..#.###..#.####
##...###.###...#.#...#..##.###..#.##....#.##...#.#....####.####.#.##.#..#....#..#.#....#.######..#####.##.#..##.###.#.#.##.###.#.###..##..##.###.###....#.###....##..#..###......#.#.#.####...#..#..#...#..##.##.#.####...#........##..##.##.#..#..#.##....#.#.
.##..###....##.##..#.#####.##.#.#..#..######..#.####.#..#.####...##..####...##.#####.#.#..#.####.##.#####.....#..#..#.###....#.#####..#..###.###.#..#..###..##.######...##.#..##..###..##....###.......#####.####.#..##.##..####.####..##.#...#...#.###..##....
#...##...#..#.##.#..#####.#.###.#..#..####...##..#######..###.###....###....##.###.##..#.####..#####..###..##.#.##.#.#.#..#...#....##.##.#..#....###.#.#.###.#.#..###.###.#.#####..#....#.#.#..##.#####.##..#.###.##.##....##.##..#.###.##...##.#.###.....##.##
#.##.#...#.#..###....#.#######.####..#.#..##..######...##...#...##..###..#......#...##...####.####...###..#####.#..#.#.#.#...#.#..#####.#.....#.#..#..#.#.####......##...####..###....#.#....#.###..##..##.##.###..#.####..##.#.#....#.##.#.####.#####..####..#
.#.###..#.###..#....#..#.##..##..#.#.#####....#####.##.#.#.###..#####....##.#.#.####..#..#....#..#.#.###..#..##...##..##.#.......######.#.......#..#...###.##.####.#.#...##......#..#.###..######..###.##.#.##...........#.##.#....###.#.##.#####.....#.##.#.##
##..#..######.#.#..##.#....#####..#.#.#.###.##..#...####..###..##.####.#..#..#...##.........#.###..#.##.#.###..#####..#.##....#..######.....#...##......#..##.##.###..#....##.##..##..####.##.##..#.####...###.###.#.##..##..#...#..####.##.##.#.##.#.###......
#.##.#.#.##.#..######.####....##.#.##...#.##.#......##.#...#..##....###.#.##.#..###...##..##....#..##.#.##..######....#..#.##...#...#.###..##..##.##..#..#.###...#.####...#.##.#.#..####.#.#..##..##.#.######.#.#.##.##...####.##....#..#.##.#...###.....##..#.
####......#..###.#..#.###..#.....##..###.....#..#...##.#.###..##...##.....#.##..##.#...#.###.###..##.###.##...#.#..#..###.#..##....#.#...###..#.#.#.#####..#.###.#..#...#....##.##...##.#....###....##.########......####.#.###.##.##....#...####..#..##..##..#
#.#.#..#..#.######.##.#....##.##..##..#..#...##.#.####.#..##.#.####.###.#..###...#.##.#..#..#####....####.####...##..#.###.#######..##.########..###..###..####..#..####......##.#####.##.#..####.##.##.##.#.##.#.#########.......##..##.###....#..###..#.###..
.##..#....###.##..#.#...#..###.##..#####.##.#......#######.#..#..##...##.####.###.#...#..#..##.#.###..........#....#######.##...###...#...#..##...##.#.#.##....####.#..##..##.######.#...#.##.##.#.#####.##.#..########..#..#..##..#..###.#.#...#.####.#.#.#..#
..#....##.#....##.#....######..###....#..#.##.##.#.#.#......#.####.#....#.##.#.#.#.#.#...#..####..#.####...#....#.##...####.#.##..##..###...#...##.##.#.#.#.####.##....###.#..#...##.###.#.###......###..###...#...#..###.#.#..##.##..###.#...##..#......####..
#...##.##..#####...###.#####..##..###.##.#....#.##...####.#.#..#....####.##.#.#..##..#..##.....#..##..#.#.##.##.......######..##.##........#.#.#.....#.#.####.##.####...#......#.#.#.#..###..#...#..####..#.##...######.....#.###..##....#####..#.#...##.#...##
###....##....##########.##..###.##.###.#..##...###.#.#..##.#.#..#...####..###.###.##.#.#.#.#.#.##.##......#.#..#.#.#...###...##..#######..#......#.###.#..#..#.#.#...###.#.#.##..#..##.#.#.#.#.#...#..#.#.##.#.#..#####.#.###..##..##..##.#.##.##...##.##..#..#
....##.##.##.##..##.#####..##..#.##.#.#.#.##..........#.###.######...##.###....##.###.######..#...###..#.#......#.#..#.####...#...######..##.###...#.#..#.#...#.####.##......#..#.#.##......###.#..##..#.#..######.#...#......#.#.###.####.#.##.....####...###.
..#..####.###..#...##.###.####..###...#..####.#...##.##.###.#...#.##....#..##...######..####.#.###..#..#####.......#.##..#..#.#..###..#..##..##.#.#####.##....#.#.###.#.#....###..########..#..#.#....###.#..####.#.#....#...#.#.#.#.###....###....#.##.#......
#..###...#...#####.######..##.####...#.#...#...#.#..#.#.#.......#.####.#...#.....##..#####..#..#.####...#####.#....#..#...##...#.#..##..##..#....###.#...#..####.#####.....####.....#..#..#.##.#...##.##.##...########.##.##...#.#..#...#.###..####.#######..##
#.##..#..###..#.#..#..#.####.#.#.###.#####..##..#..#####..#####......#..#.....##..##.....###.#.#.###.##.#.##..#.....#.##...#.#.#..####..#####...#..#.###.#####.#...##..##.##.#....#.#.####.#..##...........#.#..##....#...##.#.###.#..##.##.#.#..#####.###...#.
.#.#..#.#.##..#..####.#...######..##.#..##..###.....##.####..#.#.....#..##.#....#.#.#########.#.#......#....###........#.#.#.##.##.##.#.###.######.#.#.#####.#.##...#....#.#..#..###...#.....####..##.######.###.#.#..#######.####.##.#.#######....#....#...#..
.#.####...#.###.#..###.#..#.....#..##..#..##.....#...#....#......#######..#....##.#..#.##.##..###.##..#...###.##.#######.####.#.##..##.##.....#.####.#..#...####.####..##....##.###.#.####..###..........#.#.#.##..##.######.#.#...######....#.####....#.#.#...
##......#..##.####.###....#...#.####.#.#.#....#.###......#####.##.#.#.###.###...........#..#.##...###..##...#..##.##.##.##.######.#.#.##.####...##..#..#.##.##..#.#..#####..##...####.#.#..#....#...##....##.#####.#.####..#....##.##...##...##.###...###....##
#....#..#.#.....#..#.##.#...#..##...#...#.##.###..#.....#....###.###.##.###...##.#.#.##.#.#####..###..#..##.#...#######..#..#.#..#..##.##.#...##...##.#.##.##.#..#.##.....###.....###..#...#...#...##.####....######..#..##.#.#.#....####.#.#####.##.#...######
.#..#..#.####.##...#.#..#..##..#....#####.#####...#.#...##...##.#.##....##.....#######.#....#.##.#....##.......#.#..#.#.#.#.#.##.###..#.#.###....#.##.#.##.###....#...###.......##.#.......##.####.#####.###.##..###.....##.#.##.#..#..##...#...###.#..##.#.##.
#.##.#.####...#..##.##..#######.#.#.#..#.##...#.###.#..##.####.....##..###....###...#...##.###..#.#####.#.#...#.##.###..##...#......###....###.#....#####...####..#..#..#####...##.#....#...#..##.#..##.........#...#..#.##.....#....#####.##...##.####..####.#
...###..#...##..#...##.#..#..##...#....#..###.###.##..#....#.#..#.####...#.##.#.#.#.#......#...#....####.#####.##.#..###..##.##.#..#..#.######.##.##..#.....##..##.#....##.#.#...#########.###.###.####.#.#..#..##...##..######.#.#..#.#..######..##.##...##...
#####..#.#.####.#.#......#...#..#....###.##.#......#..#.###...#####...#....####.#...#####..####.#.##.##.#.#...#.#..###...#.#####...##.##..##.#..#.#####..#.....#...#.##.#.###.#.##.##.......#...#.###..#..##.#.##.###########..#.####..###....######..#..###..#
..#..##.....###......#.#......#...#..####.#.#.###.##..###.#.#.#.#.#...##.#.##.########...###.#.#.........###.#.##...#.#.#......#.###.#.....##.#..#.###.#..#.#....#.#.##....#.#.####...#####.##.....#.#.##.#.#..#..##.#######...##...##.##.#.####.#.#.###....#..
.#.####.###.##.#.##.##.#.#...##....###.#...#####.##.....###....###...###..#....#..##....##.....##.####.##..#.#...##..###.###.#.....######..#.#..#.#.###.......###.#.#.##.#.#.#.###..#..#...#....##...##.#.##...#....#.##.###...#.#####....##.#..####.##....#...
.#.#####..#...##.#...#.#####..#.#......#..####...#..#....#.#..##.#.##.###...#.##....##..####.....#..#...###.#.#..#..#.###...##....##..##..##...#......#.##.#....##...#.#.###.####.##.####.#..###.#.....#..#...###.####..##.#..##..##...#.#..#..##.#.#..#.#.####
#.#..###.##.....#.##...#..#.#.###.####...######....###.#.##...#...##.....#.#.####.#.###...###.##.#####.###.##.#.##.#...##.####..#..##.#....##...##.....#..##.#.##.##...#....##..#.#..#.#...#.##.#.###.###...###..#...#.##.###.....#.#.....###.#.##...###.......
#######.####..##.#..###...###....####...#.###...###.###..######..#####..##..#...#.##..##...##.######.####.#..##.#.###..##..#.#...##.....##..#.##..#.##.#.###.##..##.#..##.#.#######...#..#.#..#.###...#.#####..#.#..##.#.#####.####.####....#..##.#..#..###...#
##..#.###.#..#......##......#.##.###.#.##.#.###....#...##.#..##..###...#.#.#.#.#.#####...###....##.....##.#...#.#######...#.##.#...#####.#...#...#..####......#.#.###.###...##..#.###.#...#....##.###....#.......#.#.....#.###...###...######...###.#####..#...
.##...#..##..#.#.#.#.##.#..##.....##########..#...#.####...###.##.#..#..........#.###.###..##....#.#....#..#..#.#...#...#...####..####.#..#.###.##..##.###..#.#...#.#.#......##..#.#.####.###..####.#..####.###..##.#.#.#.##########..##..#.#.####..#.#....###.
.##.#.##.#.##.##..###.##...#####.###..##.######...#.####....#.####..##.##.....#.###...##.#..##...###....#.#.#.....#...#.##.#...#..####.#.##.####..###..#.#....#.####....#..##.##.......#...##.#..#####.#...##...#...#.#...#####...##.#..##.#####.#.#..#...##..#
########.#.#....#.#.....#.#.#####.###.#####..##..###.#...##.#.#####....#...#.##...##...#...#...#.#.#..#####...##..##.#..#####.###.#..#.#..#..#..#..#..#####.#.###.###...##..#.#..#.###..#.##....####..##...##..#####..######.##.##.####.#..###..##..#.#..#.##.#
.###.#..#..###..##.###...#..#..#..#.####.####.#..#.#.#.##.##.##..####.###..##.#.#...###..##.#..#.#..##..#########..#####...#.#.#.#.#.##...#.##.##.....####.....#....##.##...#.#.##.#....#.####..###.......#..####...#.#.#.###.#.#.#.#.#..#.....#....###..#.....
.##.#.#.#..####.###.#.###...#.##.####.#####.##.###.###.###.#.#####.#.#.#.##....#...####.#..####..#.#####..#####.#.#....#..#..#..#.###.#.#####..#####.####.####...#..###..#.#.######..###.######.#..###....#..##.###.##...###..###.#.######..########..##..###..
..###.###.##.#.#.....#......#####.#...#...##.##..######.#.#.##...#..#.###..#..#.####...#.##......##..#.##.#..##.....###......#...##.#..#...#.###.##.##.##.###.#.#.##.##.#.####....####..####...#..###..#####..##.#.#.#####.###.#....#...#..##..###.#.#.##....##
.#.##.###########.##..#.##..##...#####.#.#..#.#.###....#..##.##...###...##...#..#.###..#....#.#..##.....##..######.#####..######..#..###...#..#####.####.###..##....####.####.#.#..#.###.##....######..########..#.#.####..#.#####.####.####.##..#.#.###..#....
.###..###.##.##.....#.#..........#...##..#....##.###.#####..#####.####..#.####.#.#.##.#.##.########.#.#####...#.....###.#.....####.##..#..#.##.###..#....#.##.##..##.#..####..##.#.......#.####.#..#####..#.####.#.#..#...#.....#.##...#..##....#..##..####.#..
#...#.###.#....#.##.#...######....#..###.####..#.#######...#......#......##..#.###...####......##...####....##.#####...#..##.#..#.#.#..######.#.#.#....###..#.########...#..#.#.#.#....##...#.##.#.#..#......#..#..#....#...##..###.#.###.#.#.##.####.###.#.#..
#####...#..####.#.###..#.##..#..#..#.##..##.##....#..##.#.###.#.#.#####..##.#..#.##.#.#####.##...#.##..#..#.#....#.#.#.#.#...####....###.#.##...##.#.#.##.#.#.####..#.#.#.....#...#..##.##.#..#######.......##...#..#.#.###......###....#..##.####.#......#..#.
##..#.###....##.##..##.####.###.#.##.####.###..#......##.....##..#.#...###.#.#.##.#..##.##......##.###.###.#.#..##.#####.#.###.##.###.###..#######...#.##.#.#####.#..##.###...##.###.#.##.######.##############.#####...######.#.#.#.#..####..##...####....####
####.#......###...###...#.#...##..####....#...#.#.####.##..#.....###.#......#.##...###.#.....#..###.##.#.#.#####.########.#..#..#..##.##.##.....###..##.####.##.#..###.#.#.###..#..###...#....##.###.....######..#.##......#####.##.##..#...###....#.#..##...#.
.#.#..#..##..##...####.###..#....#...##..#.##.#..#...###..####....###...#.#.#..#.#....#.#.....#...####...#....#...#.....#...##...###.#.#.##.#...#...###.#.#.####.##.#..#....##..####...#.####..###.#..####...###.###...####...##.#.#.####..##.##..####.#...#...
##......#.#..#.#.#..#..#.#.####.#.#.####..###.####.#.#.#...##..#.#.###.#.####...#..####..##.##.###.##..###.###...##....#.#####.###..######...####.#.##......####.###...##.....#.....#......##..###.###.####..#..#.###.#.##..##.##.###..##.#.#.#...#.###..##.#.#
..#..#######..#..#....##.##.####.#..##.###..#..##.##...#######.###.#.#.#.#.#....##...#.##...###.####...####..##....####.#####.##....#...##...###.##.######......######.#.#.####..#..#.###..######.####.....#.##.##.#..######...#....##.#...##..##.##...#.####.#
....###..##..##.#..#...#.#.##.....##..#.##.#####....#..##.#..#..####.##.##.##.....##...#.#..###.....##...######.#..##..............#..#..##..###.#.#.###..#.#.##...#..##.#........##.#..###..#.######.#..#..#....#..#..#.##.#######.###...###.....#..#......###
##.##...#..#.##...#.#.##.....##..##......##.#.#...##...#...###....#...#..###.#.#.##..##..#..#.#.#####..##......#..#.#.##....#..#...###..#.#..#.#.#..#.#.###.######...##.####..##..##...#.#...##....##.#.#.##.#....####.#.#####.#..#.##..#..##.#...###.#...###..
#......#.#####......###..##.#######.#....###...#.....###..###..##...#.....#.#.######.#.#.#.#.##..#...##.###..########..#..#...#...#.....######..#..#..#..####...#..#..##...#.##.######.#.##.###.###...##.##.#.###...####.##.#...##...#.##...#.##...#######..###
...####.##..#.#####.###..##.###.#.#..###.##.......#..##.#.##.###.#####.#..##.#..#..#..##..#....#.##.#.#....#.##.####..##..##..##.......#.#.......###...#.##.###.#...#..#...#..#.#.#.#.##....##.#.##.#..##.#######..#..##..##....###.##.#####.#.#....#..#.###.#.
#.############.###.#.##.#####..##..#######.....#..#.#.#.#.#.....#.#.#....#####.####.......#.##.#..########.##.#...#.#.#.###.....#.##......#.######.##...###..##.###.###.......##.##.######.#.#.#.##...###.#.#....##.#..##.#####.#....##.#.#########..##..#...##
..###...#.#.#.#..#####....##.#.##.#..###..######..#.#.......##......##.##...###.#####...#.#.....##.######...#.##.###.####.#.#####.##.##.#..#.#...#..#.####..##.###.#.....####.#.####...##.....#...#.#..##.#.#...#....#########.##...###..#.####.##.#.######..#.
.#.......##....#.#.#...#.####...##.#..#.#....#.#.#...##.#.#.#..##.#.###....##..#.####..#.###........#..###.....##..#..####.....#.##.##..#..#..#.#.#.....#.##..#.###.##.#..#..##.#.#####.#.##.#....#.####.###.#..#..#.#..#..#.##...#..###...##.####.....##.###..
#...#.#....##.######..###.#...#####....#...#.#..####..#####.##.##..##..#.#..##.##.#...#..#..#.##..#....#.####.####.##.#.......###......#....#.#...####.##.#.#..###.#.##..#.##.#..####..##..#...##..##...#..#...#.#...##..#.##.####..##....#..###.#####......###
...####.##.....###.##....#..#.#....#..#..###.######.#.#.##.#..#.###...#.#.......###...#.##.#..###..##..#..#.##..##.####.###.#.#....###.#.......#..#.#..#.#.###...#...#.#..##..##....####..###..###.##.#..############.##..##.#.#.#.#####.###...#...#.#..#######
##..#####.##...#...##.##..#.#..#.##.#.#...####...############.#.###.####..#..###.#.#.#.....#..###.....#.##.#......#...####.#.#.#.....##..#...##.##.##.####..###...#....###..#.#.###.###.#..#......###..#.#.######.#...#..###..#.#..#.##.#.##..###.#...#..#.##..
#...###.##....###..####..###..###.#....#..####.##.##..#..###...####....####..#....######.#..#.#.#.####.#....###...##.#....#.###..##....##.####...###...###.##.####.##.##.##...#...#....####..##.#....##..###.###..#...#..##..###.#.#.#####..#.##.##.###..##.#..
.##..##..###.##.#....#.#..#.#..##...##.###...#.#.####...#...#.##.#..####..##.#.####.###.##.##..##...#.###..###.####.###..#.###..##.######.##.###.#.#######.####.#.###..##..###...###..#.##.#.###..#.###...######....#..#.#.##.#.#...#.###..#.##.##........##...
.#..###......#.#........#..###.##.#..##.##..###..##..#.#.#.##.#######.....#...#...#..####.#...###.#..###.#.#.###.##.##......##...#.....#...#.#.##..#.##.#.#.#..#.##.#.#.##.#.##.##..#..###..##.#..#.#..#....##.###..#.###.#.#..##..#.#..#...#.....##.##.##.#...
..###..#.######...##.##...#.#..#..#.#..#.#...##..##.#####....###.###..#..#.#..#####.###..##..#.#####..#..##.#..#.##.#..##...##.#..##.#..#..#.##.####.#.#...####.#..##..###.###.#...#.#.#.#.#..#...##.#....#..####.###.#.####...#.#.###...###........#.###..#.#.
##...#.####.#..##..##.#.#..#.#.#.#.....##.#.###....#.##...##.#...##.#.#.#..#....##.######..##.#.#.#....#.....#..#.####.#.#..####.#.#..#...##.##...#..#........#..#.#...###..#.#...##.#..##.#.######..###.#####......##..####.##..###.#.#.#....#.#####...#####..
#.#.######.###..#..###.#....#.#.###..##.##..###..#######..##.#.##..#...##.###.###.#...##...#.#...##.##########.#.##..#.#...#...#...#.##..#..#..#..#..#.#.#.#.#.#...##...##.#..........###.#..###...#####..#.##.#..##..#...###......#..#...##.#.#...####..#..#.#
#.##...#.#.#.##.##.#...#..###..#.##..#..#.#.#.#..##..#.###.#.#..#######..#.#.#.#...#.######.#.#..##.....#.##.#.#..###.#.#.#..###......###.#.#..###..###....##.#..#.#..#####....#.##..##...#.#.#.##.###.#.#..#.####.##.#...####..####.#..##..#.....##.#....##...
.#.....#...#...#..#......#...#.#.........#.#..#...###..##.###..##....##.#.###.#.#.###.##.#.##....#..######.####.#...#..#.....##..#.#.###.####...#..#.###.#.#.###....##..#.##.#.##..#.....###.#..#.#.##..#.....##..##..#.##.##...#...#.##...#....##.###.....####
...#.#...#..##..#...#..#.##..#.####......##.####.#.###...#.#....##..##...###.####.#.#.#####....#.####.##.......####.##...#.###.##..###.##....########.#####.#.....#.###...##.##.#..##.##...#.##.#.##..##.#....##...#.##...##..#...#.#.##....##.#.###...##..#...
...#.##..###.#.#.##.#######.#.##.##.#...#.####...#....#.###.#.#...##.#....#.#...#.#....#.#...#.##.##..#..#..###.....###.###.#.##.......#...#...#...#.##.###.###.#.###.....##.##.###....###.#####.#.#..##...#..#.##...#.##...#.##.##....#...#####.#....#.#.###.#
.#.###..#...####..#######.###..##.#.##..#..##..#......##..###......#.###....##.####...##.####.##.#####..#.#...#.#####.#....###...#.......##.#.#.###..#...##..###.#..#...#.#.#..#.#.#......#.########.###..........#..#####..#....#.#.####...#.#.##..#####.#..#.
.#....#####.##...##..#...####......###..######..#..#....#.#...#...#.##.#####.####...####...##..##########...#..##.#.#.#####.####.#.#######.#.####....#.##..#.#...#####..#.#..##...####..##..####.....#.##.##.##..#..#.#..###.#.....#..##...####..#.#..#.....#..
.#######...#...##...#.##...##..###.##...#..#..##..#..##..#####.###.#..###.#.#...#.#...##...#####.######.....#.#..#.#..#......#.#####.###.....#..######..#.##.######..##.#.....#..#..####.#.#.#.####.#...#...#..#..##.###.###.#...#.#..####.#.#..#...#.##...###.
#..##.#..##...##.#..#.###.......#..#..#.....##.#....####....###.....##.#.#..#.#.###.#.#.#.###.###.#.##.........#.#.#..##....###....#..####...###.#.#.#..####......###.######..#..##.##..###.####..#.#..##.##..##.#.#####.....##...#....##..#.#####.###.##.#....
#.#####.###.#.#####.###......#.#.....#....##.....##..#.....#...#.##..##..#.....##..###.##.##..##.##..##.#.###.##..#.#.#.##.#..#########.....##..##.##..#####..##.#...##.#.##.#.######..##.##..###.#....#.....###.##..###..###.##.#.#.#.###..#.#......#..##....#
.##.###.#...#.#####.#..##.#.####.##......##.#...#.#.######.#...##.#..#......###.#.##.#....#.##.#.##.#..#.###.###.#...##.#.##.#...#......#.#....###...###..###..#....#.#....#.##.#.####..#.##.##.###.#.##.##.#..##..##....#....##..#.#.##...##.#.....#...#..####
#####.##.#..#...##.....##..#.###..#..##...#.#..##.....##.#####...##..##.#.####...#....##...###.#...##.#.##..###..#.##...#..####...#.###...###.###.#.##.#.#####.#.##.##.#.######.#.##....#..#...###.#.##..###.#.##..####..#####.####....##..###..##..##.###.#.##
#.###.##..##.##..#....#..##..#.#.###.###.....#.......#.#####.##.#.#..#...#...#...#.#..#...###..###...##...#..##..#..####...##..#.#...#...#.#..#..##.##..##....##..###..#....###.......#####..####..##..#..#..########.#..#...#...#.######.#...###..#####..###.#
.....#......##....#....###.#.###..##.#......##.###...###...##.#########.##.##..##..#..####.###.###......######.......#..#..#...######...##.##.##.####.#..##.######.#..##..####...#...#.##.#.##.##......##.#.########.#.####.#####..#####.#.##.#...###.#.#..#...
##.#..####...#....#####.##.##.#..##....##.#.......#####.#.#..####.##...#.##.#.....#...#.#...#....##...#....#....#######.#.##.#.#...#.#.#.#.....###.##.#..########...###..#.##.......#..##.##.#.#..#.######..##......#...####.#..#....##..#...#..####..#.##.###.
....##.######..#.#.###.#..#####....#....#.#.##.#..##.....##...#.###......#.#.###.#...##.#####.#.###.####...#.##..#...##..##..###...#.#.##.##.#...##.#..##...##.#..#.##.....#..#....#####....#......#.##..###..###.#.##.##.#.#...#..##.#.#.###.#..#..###.######.
..##.######.#...#...##.#..#.#.##..#....##.#########...#..##..###...###..#...##.#..#..#####..##..##.#..##.#####..##...##.#........##.#...#####.#...#.##.#.....##.###.#....#..#..####...##.####.##.##..##...##.#.#.#...#...####.#.#.#.#.###.......###.###.#.###.#
.##.##.##...###.#..#.#.####...#.#.....####.####..##...##..#.##.####...##.#......##........#.#.#.###...#....##.#.#..##.#....#####.....#.#..###....###.#.##....###..##.#.#...#..##.#####.#..##.#..##.....###.#..#.#.###..#.##..#.##...##.###.##.######...#.#.###.
..#.##.#..#.........###..#.####...#..##.#...####..##..##.##..##...#####...#.####.###..#...##.#.#...#########.##...###...##..#.#..#..##.###.#...#.#.###...######...####.#.###..#.####.....#............#...#....#.#####.##.#..#.#.##.###.####.###.#.#..##.#..#.#
####.########..#.###..#..#.#.####..###..###..#.##.#.#..#..#..#...##..#........####.#.#.##..#.#.#####.....#..#.#.#.##..##.###.##..#.##.#..#.#..#.#####.####.#.#########.#...#....###.#....##.........#..#.#...###.#.######..##..#.###.#####..##.#.#####.##.#.###
..##....###.....#.####.###..######.###..........###....####..##.##..#......#..##.##..#.....###............##..####.#.###.##.#..#...#.##..#.#..##..#.#...##.##..###.####.#.....#.#.#.#.##...#..####......###.##..##....##.#..###.###.##.###..#.#.####...#.#.#..#
.##..#..###.###...#.###...###..#....###....#..#..###.##..#.#.#.#..#..#...##.#####...####.###.#.#...####.#####..#...##.####..###.###.#...#..###.#.##.#.#.#..###.####.#####.#########...#####.###.##.......#.#..###...##.#.###.#.##.#.#.#.###..##.##..#....#####.
...#.######..#.#.#.#.##....#.##..#...##.#.#....##.###..#...#.#.#....########...#.#..#.#.#....#.#....#..#.#..###......###.#.#.###.#..#....##.####.##.#.#.####.##.####..#.#.#..#####.#..######.#.#...##..#.##........#....###..#.###.#...###..####...#.....##...#
..##....#..#..#..###.#..#.#.#.#....##.#....#.##...#...#.####.#####..#.#...##....##.......##....##..###..#....#.##.#..##...#....#..##..###..###..#...###.....###.##..###..#.....##.#..#.####...###.#....#.#.##.#.###..#.......#.#..##.....#.#.#.###...#.#.#.....
###..#####.#...##.#..##.#.##...#.#.#..#.##..##.#.#..######...##.###..#.#.....###..#..##..#.#.#....#..#.#.##...#..##....##.#.#.##..#.......#.#..#.#.#.....##..#...##...####...####.#.#...#####.###..#.##..##.#.#...#..###....#..##..#..#..###.#...#..#..#..#....
##........####.##.####......#...#######.#.#.....####.###.###.####.#......######.#.#.#..#.#.#.....#....#.#.##.##....#...#...#####..#..#....####.###.#.....###.#.....#..##.#.##....#..#..#####...##..#..###..###..#..####...#.####.#.#..##.#.#.#.#.#...###...###.
.##.#.#.###...#.#.##..#####......##..###.#..##.##.##.#.#.#.##..#...##...##..#.####..#.##.#.#...##..##...###.##..#..#.##.#..#.#..##.#.###.#.....#.....##.#.###.#.#.##..###....##.#..#.##...###..#####.#.####.####...#.#...##....##...#.##.#...###.########.#.##.
#..####.#.#####....#.#.##.#..........####.#.###..##..#####.#####.#.#...#...#.#.#...####..####..#.#.#####.#....##.#.###...#..##.#.##..##....#...#..##.###..##.....#####.......##....##...#..##...#..#####.#.#.###..##.###.#..#.#.##..####..###..#.#..###.#.##..#
##.#..#.##....#.#.#..#####...##.####..#..#..###.##.#..#.##...##..###.###.#.##..#.##.##...####.#.#.#####..##.#..#.####..#......##.###.#####....##..###.##...#.#.#...##....##.####.#....#.##...###...#.##..#..#..#.####.##.#.....#.#...####.#..##..#####.##....#.
#..#...####..#..#.#..#########.##...#####.#...#.##.####..###.#...##.###..##.#######....#.....##..##...###..##.#...##.###....#...##..##......##.###....###.###.....##..#..###..#.#..####...#####..######.##..#.#.####........#....####.#.#######.#..###...##...#
....###.####.#..#.####.#.....####..#..#.###...##..##.##.#..#...#...##...#.###.......#..#......##...#..####..##.#.##.#.###.###.#....#.####.##.#..#.#####....###.#..##.....#.#.#...##.###.....####.#....#.##.#....#.....#.##.#####.#.#..######.###.#...###...#.#.
.##....####.......#...#..#..####...#...##..###..##.#.#.###.....#.##.#.#....#..#.......######..##.######.###........###......#..#.#.#.#.#.###....##..#..##.....#.##....###.##.#.##.#.###..##......###.###.#..##.##..#.#.#....#.#....##...#....###...##....#...##
##...###.#.....#...#..#.#...##.##.####..####..##.#.###..##..##...#...#..#...##..###.#####.##.###.###.......#.#.##..#.###...#..#...###..#.#.##.#...##...#......#...#......######...#.......#.###.##...##.##.##.##.##...##...##.#..#.#.#.####.###.#.#####..##.##.
#####..###...#.......##.#..#######.#.######...###..##..#.......#.##.###..#....#..#.##.######.##.##..#.##..##.#..........####.#..###...#.##.##...###..####.###...#...####..##....####.#.##.#.#..#...#.#.#.#....##.###.###.###.##..###..#######.##.##......#.#...
.##....#..#.#.#.##....##.##...#.#.####..##.##.###..##.#..#....#..#...##...#.#.#.....#####.###..#..#####..#...#.######.#..#.#..#..#..##....#...##...##.#.....#.#.#.#######.#..#.####.#..#...#.#.###..#.##.#..#.....#..######...##.#.#.#...#.###...###.#..##.##..
.....#.####...#..##.#.#.###.#.#.####.#.#..#..####.##.##..#....#####.##.#.#.#...##.....###..#...#.#.#.##....#.#..##.#.#.##....#.##......###.....#.###..#.##.##.#####.####.###...#.......#...##....##.##.....###..#.##..#.####...##.#.#.#....#..#..#.####....#.##
##.##.###..##.#..#.######.#...#.#.####....#.###.##.#....#.#.....#####.###.##....###.#.#.##...###..#.##.#....#..#.##.#...##..##..#######.#######........####.##..###..#######.###..#...##....#..#.#...#...##.....#..#.#.###....##.........####.##.#...#..#..#.#.
....#.#.###..#.....###.........#.##.####.####..##...##.##......##..###...##....#.##.##..##..##.##...##...#####.#..#.##.#..#.####..######.#.#.#.......#.##.######.....##.#.##.#.##.##.#.#.##.#.####....##..###.#.###.##.....#...#..#.##.##...#...#....###..#..#.
##....#...##.#.#..#.##......#..###.####.##.####.#..##..#.#.#.#.#...##..#.#..#..#...#.##.##...##.#.##.#.#....#.....####..##...#......##..#.####.#..###..#........#..##.####..######.#...####.#.##...##.####...#.#...###.#....###.##.###...##.#########.####..##.
#..#..##.####.###.#...#........##.....#...#.#..#..##.......#..#.##...#..###.##.###.###..#...#.###...#.####.#.#######.#........##...#..#..##..#.##..#####..#....#.###..##...#####.#.#...#.#.#..#.#####.##.....#...#........########.##.......#...####...#.##..##
..#....#######.#########.##....###..#...#...#.###..#.#.#...###...##.#...#...##...#......###.#..#.#...##.#..####...###..####...##....#..##...#.#####.#.#.###.#..####.#..###.#.###.....##.##.#...##...#..#..##...#....###....#......#####..###.####.######.######
#####.#.#....#...#..#.....#..#.#.####.###..#.##.#..#.##...#######..#######..##..#.##...#..#..#..###..#.#######.##..#..####..#....#..##.#.#....#..#...####..#####....##..##.#.##.##...##.#..#.#.#.##.##.######.####..##.###.#.##.....##.#.##.##....#.....##...#.
.#.##..##..#...###.#.#.#.#.#######..#.#...####.####.#.#.####.#.###.#.##..##.#...##.###..####..####..#.#...#########.####..#.###..#.##....#..#.#..##...##..#.#######.#.#.#..##...###.....###.###..##.....##..##..#..#...##...##....###.##.##.....#.####...##...#
#.##...##.#.#..#..###.##..##.##.####....##.......#..#.##....###..##..#..#..#..#..#.#..##..###..#.##.##.#.####..#.#..##.####.##.##.#.#..#####..#.#.#.......#..#.#.##.#.##.#..#.#.###.#.....##....##.#.#####.#..#.#.#.#.#...#.###.#.##......#.....#..####.#.####.
##...#.#..##...##.#..##...#.#####.##.##.#..#.#.##.#....#.####..##.##...##.#...#..#.....###...##.#.##.#.##.###...#####.##...#..#.#.##.###.#.#.##.##....###..##..#.#..###..#......##..######...#...#.##...#.##....#...####.#.#.##...#.#.###.#.....#.##...#..###..
##.#.#...#.#.##.#.....#......###.....#..###.######..##.#.##.#.#####.#...###....###.#.#.....#.#...##.##...#....#....###.#.###.###.####...####..............#.###....###.####.....#####.###..#..##...###.#........####.###..##..#..##.###....#..#...##.#..#.####.
###.#..#....#....##..###.##.##.####....#..####.#..####.#.##.#...##....#..#..#.####.#.##.##..#..##.#...##..##.##...##..##..#..#....#..#.###...##.#.#.##..##.#.####.##..####.#.#...##....#.##..#...##....#......###.#.#.#..##.####....####..##.#..#.......###..#.
#.#.##..#..#.#..#.#...#.###.#...#..#.###...#...##...#....#.......##.#.#.##...#.####.##.##..#.#...#.##..#.#......#.#.##.....####.##...#.##..##..####.###...##....#.#.#.#.#..##..##...#...#.##..#.#..########.#...###.####.#.###..###.#..##....##.##.##..##.##..#
.#.#.#...###..#..#######.#..#..#..#####.#..###.#...#.#.....#.#..#...##.#####.#.###..#.#..####.###..##..##..#..#.##.....##....##....#..###....##.#.########....##.##.#....#.######....####.#..##..#.##.#.#..#.#....#####....#..###.#..#.#.####.#..##...#..#..#..
####.####..#.####..#.#.#.########.##..#..###.###..#....#....#.#######.###.#.#..#.#.##..#...########...####.#.######.#.####.##.#.###...#.##.#..###.....###...##########.#..###.#..###..#######...######...#.#...#####.#.###...##.##.#...#.#.##.#.##.#..##.###.#.
###.###.#...#.#..##..##....####....##..#.##.#.#.#..#....#..##.#####..#########.###.#.#..#.###..#..##...##..#....#.#.##.#.#..#.#..#.##....##.###.##.#...##.##..##.#..#..###...##.###..#..#.##..####.####.#.###.#.##.....#..#.#..#..#.....#..#..##.#..#..###..#..
##..#.####..##.##.#..#..#.##.####......#....###..#.##...###...##.#....#.####.##.###..##..###...##....##.##..#..#.....###.#...#..##.###......#..#..##.###.###.#...#...##..##.##.#####..#.#.##.###....##.##..#.##.#.##.#...###.#.#..#...#...#...###.####..###.#..
#####...#..#.#..##.###...#.##.#....#.###.##.###.##...####.#....#.#####....#.##.....#.###...#....#.###..#....###...##.#.#.#.#...##..#.#.##..##..#.#.#..##.##...##.#..##....##...#.#.......#.##.###...###..#.##..#..##....#..#...##.##.#.###..#..#..##..##.#..##.
.###...####.##.#..######.##....##.###...##.##.#..##..###..#......#..##..#....#.###.#..##.........#...##.#......#.......#.#.#.#..#.##.#...#.#.#.....#...#.##.#...#####.#.####.#..###.#.####..###.##.##....#####.##.###..#.#......##.#.#.....#..#..######.#.....#
..#.....#####..##.##.####.#.####......#.##.#.##..##.###..#..##..#####..#.####.#...###.##.....####.##..##.#.#..######.#....#.#......#.#..#.#..#.##.##.##...#.#.#.##...######.....#..###...##.#.#..###.###..##.##.......##.#.#####..#.#..#.#..#.####.#..###.###.#
.##.######.#.....#.##..####...###...#.#.####.###.##.######..##..#####.##..#...#..##.##..##..##.###...##..#....###......##..####.#..#..##.#...#.#.###########.####.#...##..###.###........#.#....#..##..##....#..#.#.#..#..#.##.##..#..#...#.##.####.#...###....
..#....##.###.##.#...##.#.#.#...#.##.#.##.#.#....##..#.###..#..#.##.##.#.###.#.##.##.##.##.##.#.#....##.#..#.##.###.#..####.#####...#.#.##....##.###..#.#...##..#.###..#...#####...#.#.#..##..###.#.###...###.#...#..#.#.#.##.#....#.........##..#..####...##.#
.#.#...###....#..#...###.#..###......#.##......#...#..######...#..#...#....#..#.##.###....##..#####.#.....#.#.#..#.....##..#.#........#...#..#.##.##.###.######...####.#..#.....#.......#...#........####.#.##.##.#.##.##.###...#...#..##.#..#.##....##....#..#
#..#..#####..##..#..####.##.#....#..#...####.#######.....#.#.#...###.##.###.#......#.###.#.#.#......#.##...#...#.#...##.##..#..##..##..#.#.###.......#..##...#...###.#..####.#...#.##.#.##.#.#####...##.......##..##......#..###..####..#.#..#######.###.##.#..
.#.###..#.#..#..#..##.#.#..#.####.##.##.##..#...##..##..#.#...#####.#.##....##...#.###.##.#.#####...#.#...#.#...#..#.#.##..#....#.#.#....####.#...##.####.###..####.#..#......#..#.####.#.#...#.###..#...##...#.######.###.###.#..#.#..#....####..##.####......
.....##....#.#.#..#.######....######..##.......#.#.#.#...#.##.#..........###.#..####..#..##..##....#...#.#......##...##.#.#.#...#..###..####.#.##.#...#...##.##...#.#.#..#.....###.#.###...#..##.....#..##..##.##.#.#.#.###.#.#.#####.##.####..##.#....#.####..
#..#.#....#.#..#.#.#.......##.#.#.#.....#.#..#...#.###.#####.##.####..##.#####.....##.#.....#.#####.#..##...###..###.......#########..##......###.#.#####.#..#..##.#.####..#.#.#.#.#..#.#####..###.##.##.#...##......##..#.###..#.#####...#..#..#.........#.#..
.#.#..#.#.#.#.#.##...#...#...##.#.##..##...#.#.#.....##..#.###..##..#...#..##.#######..#..##.##.....#.##.#.##..#.##.##...#..##......#...####..###.#####.#..#.#.#..#....#..#.#.#.....##.##....##....#.#..######..##..###...##..####.####....##...#.#....#.##.##.
#.#.#...####...#.##....##.######.##.#.#.###...#.#.....#..#....####.#..##.#.#.#.#..##..#..###....#...##.####.#.##..#.#...###..#..##..#.#...######.#.#.....#.....#..###..#.#.##.##.###.#..###.##..#.#.#####.##.########.#..######......#..##.#.##.#......#.##...#
#..##.#..##..##...#....#.#.#.##.###.##.#.#....#...##.##.#.#...#.##.###.#.##..##.##.#..##....##.######..##.#.##..##.#.......###.#...#####.#.#####...#..##..##.#...#....#.#...##.#..#.##...#..#..#....##.###.####....#..###.##.##.#.#.###...#...##..#.###.#.##.##
.#####..##.#...##.........#.#.#######...#.##.#.##.#.#..###..####.######....#...####...###..########.###.##....#...#..#..##.#..##.##.#...###..#.##.#..#.##.#..##.#...#.#.#.###...#..#.#.#.....###.##...###.#.#.#.####.#.#..#..#.###.......#..#.##...##.#.##.##..
####.####.##.#...######.##########.##.....###..#.#..#..#..#..#.#..........###...#.#.###..###.####.#..#.....#..#.#..#...##..##.#..#...#####..####..#...##.#####.####..#..#...#....###..####..#.####.#.#..#..#.###.#.##.#.###...##...###..######.#..#.##....###.#
...##..#.##.#...##...#.###.#.#.....#####.#.#########.......#......###.#####...##.#..######.#.#.######.##......##...#...#####..#..##..#.#...##..#...#.###.######....#####.#...##.#.##..#......#.####....##.#....#..#.#.#.#..#...#.##.#..###..##..######...##.#.#
#.#.##.#..............#......#..##..#.###..##..#####..#...##..#####.#..#.####...#############.####...#....#.#..##.##..#.#..###...###..#...######.#...#....###...#..#.#####.##.....#.#.##..#..####.#..#...#...#####...####.........####....#.#.#...#....#..#####
.##...###.##.#....##.#.#.###.###..##...#...##.#.#..##.##..######.#####....##.#.##.#...#..##.#....###.#.....###.#...#..##..###.##.##...####.#.##...#.##..#.#...#.#..#..#......#####....##......#..#..##.#.#........###....#..#..#...#.##.#####.....##.#..######.
.....#...#.#####.####....#...#...##...##.#.....##.#..#.#.#..###....####.###..#...###.####.###..#..#####.#..###..###.##.#.#.######....#.#.##.##.#..######.###..#..##..#.##.#...#.....#...##...###..####....#######.###.#.#..#....#.#.####.###...#...##.#.##.#...
#..###...###...#.....#.#..#.#..#.#..##..###.#...#.##...###.###.#..#.####..##.##...##.#.#.##.#......#..###...####....#.##.......#.#.#####.#..#...#.##.##.##.#.......##...#...#.##..##...##.#.....###....#.#.########.##.##.#####...###..#..##.......##.##.###.##
#...####..#.#.#....#..##...#..##.#..#.###....#.#..##...######...#####...##.##.#..#.#..#..####.#...#..#...#...#.#....#.###......#..#..####.#.##..###...#####..##.#.#.####.#...#.#...##...#.#.#..##..####...#.#..##.##..#..#....#....#.#.###.##########.########.
##....##..#.###.#.##.#..#..#.#..###..#.#..#.#.#...#.##.###.....##..#####.##.#.#.###..#.#..#.....##.#...#.#....##.##.....#....##..##...#...##..#..###.#.....###.#...#.#######...#..#.##..###.#.##..#..##...##.#..#.###..#.#.#.####.###.##..#.###..#..#.#..#.##..
.####.##...###.######.###.##.#..##.......##.#.##..######.....####.......###..###.#.#.##.#..#..###.#.#.#..##.####.....#...###..#.#.#..#.#..##.#######..#####...#.#.#..#..##.####........#.#..###..###.#.##...#..##.####.##.#####...######.#...##....#..#..#..###
.....#.#..######.#.#.#.#..###.#.#.##.##..##.##....#.##..#...###.....##..###.####...#.#.###.##..#..#.#.#.###.#..###.#.........##.#.....#.####..####.#.#....#...#.#.##....#.#......##...##...####..##...#.#.#.#.#..#.##.##.##.##...###.####..#.#..#..#..#.#.#.#..
###.#..##..########.#..#..####.#...#.###.#.....##.##.......#...###.#####.#.#....##.#..#.#....##.#.####....#..##.#.##......#.#.....##..#.#..#.#.......#.####.##.#####.##..#..#.##...###.#..##.#..##.########..#...######.#.#..###.##.#......###.###..#...###.###
..##.###.##..###....#.#.#.....####.##.#.##..###....#....#...###........###.#..#..#..#.#...##...#.....##...#.#####....#.####.####..###...#.#......###.#.#.#.##..####..#####.#.#####.##.##..#.##......##.##...#..#.###..##.#......#.#.###.####...####.#..###.##..
##...#.....##.##...#.####...#.##...###..#...#.#..##.###..#.##.###########.#.#.##.#.###.#.####..##..#.#.##.#.##...##.#.#####.#.##.#.#.#.#...##..#..####.####..#.####.#.###.#######...####.####...#...#.#.....#..####.#.#..#..#..#..#.#.....#.###...######.#.##.#
###.#.##....######...##.......#####.....#...#.#######.#######..######..#.##..#.....#....#...##.######..#...#.#..#####.##..##..###..####..##.#.....#.#.#.#.#...##.#.##.##.#.######.......#####..#.##.##....#.......#......#..##...##.##.##.##.#.#.#..#...#.#..#.
#.....##..####..##..#..#####.##.#..#.#...#.##.##.##...#..##.#....#####..#.##.#.#..#.#...##.#.#.##..##..#.####.####..#.##.####..##.....#####...#####...#.#..#....#........##..##...#.....#...##......##.#...###.######.#..###..#..#....#.#.#####.#..###.#.##.#.#
.#####.#..#.##.#.###.###..##.#...##..##.......#.#..#.#####.###.##.#....###.####.#.######.##....#.##...######...#.################..#......#..#.#..##.####.###..###.##.##.##.#.#.#.#.##.##....######.#.####..#....#...#...#.##..#.#.##.###.##..#######.##.###...
###..#.##.#.##..##.#####.##.#.#.######.#.###########.#.##.#.#..#.##..#..##.#.####..##...###...#.#.##..#.#.#.##.#.##...#.#####..##..###..#..#####...###....######.###.####...######..##.........##..###.....##.......####....###.......##.........#.##....#....#
.#..#..#....##...#....#.##.#####....###.#.#####.#........#.###.###.#.##.....###..##.##..####..#.#.###.#.###.#.#..#..#.#....###...##.####.#..#.#....#.####.#####.#.##.###..#..####...#.##.##.#..####..#.####..##.#....#..###.#.....##.....##..##...#.##..#....#.
#.#..##..#####.###...#.##.#....###..##..#..#..#.#..#..##.##.#####.#.#.#...##.#.#...##..##..#.#.#.###.#..##.#.##.....#.###.#.#..#.#####.......#..##..####..######..##.#.#####.......#.#.######...###.##.##.#.##.......#.##.###..####.#.###..#...#.#..#.#.##.....
.....#.##.###.##.##.####.####.#..###.##..###.....####...##....#.#.##....########.#.####.##.###.#..#####.##..#...###.#..##..#.#.###...##..##..##.....##..#.##..####.#..#..#..#..#...##..####.####.######.#.##....#.######..###.#.##.###.#.####..####.####..##...
####...##.#...#.#######..#...#.#.#.#.#.###........##..#...###....#..#.#.#.##..###..##..#..###....#..####..###...#..#.#.##..###..#..####..#......###..###...###...###.##.#.##.#...####....#...###.##.###......#...#.#..##.####...#.....#.#.####.##..#####...###.
..#...#..###...#...#.##.###......###.........#....##...#.#.#.....#.##..#.#..#.#.#......#.##.#....####.####.#.##..##..#..#.####....###.#.....##....####.##..#####.#..#..###.##.#.#.#...#.##...##.#####.##....#.##.####..#.#....#####...##..####.#...#..#..##..#.
....#.#..#######.....#.#.###.##..#.#.###....#####..#.....#.....#.##....##..#....#..##.#.##.#..#.##..###...#......####..#.#.#..#######..######..##...##..#.....##.####...##.#..#.####.#..###...##.####.##.#.#..##..#...#.###....##..#..###.####.##..####..####.#
.###.#......##....#####..###.####...####.#.......#####........#..#.#.#..#..##.#.####.........#..#....##.#.##.###.##...#####..#.####...#.#...#.###.##.#....#####..#...#...###.##.####.##......###....#..#....##...##...#.####.#...#.#.....#.#....##....#...##..#
.##..#..#...#....##.#.#########.##.##.##.#..##.#...#.#...##..##..##....#.#.##..###.#..###.##.#.....##..#....#..#.#.#..####.###..#....##...###.#..........#.#..#.....##..#.###..#.##.###.#.#.#.#.#.##..##.#....#..##..#.#...#.###.#....##..######...#...###.#...
##.#.#####...###.#....#...#....##..#.##.#.#.##.####..#...##.#.##..#.####.#..##.#.##..#.##..#####...#.##.#######....#.##.##.#...#.#.#......#..####.#.###..##.##.####....##.#....#..###.#..##.#.#.####..####.####.....##..#...#.......##.###.####..#..###..###...
..#####.....###.##.#....#.#.##..#######..##..###.#.###..##..#...#..#....#..#####.##..#...#..###.##.##.#####..###.##..#.#.##.##.#.#.#.###..#.....###.##.#..###.####..##......#.##.#..#...##...###....#...##.##########..##.#.##.##.#.#..#.#...###.#.#.#.##...###
.#.#..#.#.##..#..##.#.#.##..####...#..########...#..#..###.##.#.#.##..#...#.###..#.##.##....#..##......#.####....###.###..#..#..#..#.#.##########..#####.#.#.##....#.......#..###.#.##.##.#####..#.#.###......##...#....##.#####...#..###..##....#...####...##.
.######.....#..######.#####....##.#.##..##..#####..####..#...#.##.##..#....#.#..#..#.#.##..#.#####.##..#.#.##...###.###..######....###.###........#..##.###..#.#...##.....#.#####.###.##.#.##..#.#....#.##...#...###.##.#.#.#...#.##.....#.##.######.##..#..###
#..#.##.#.#.#.###.###.#..##.#.#.....#....###.#.##..##.##..#....#.####.##.#..###..####.##.######....#.......####..#.##...#.###..#..#..#.#...##...#.##...#..####.#.....#.#..#.##..#.#.####.#####.##...####.....#.#..#....##..#.#......#.#.#.....##.....#..#..#...
##.##..#....##......#.###.#..#.....#..#.###..##..#.##.##.#...#...#..##.#####..##.#..#..#########.##....##.#.#.#....#...######.#.###.##...###.###..#..####..####..##..#.###..##.#.#.#..#.#..###..####..#.#...###.#.#.###.#.#.##..###..#...#.##..##......#.##..##
####..#.#..#..##.#..#.####.....#.#.#########.###.##..#.....#.####..#..##.####.##....###.#..##.#.#..##.##....#.##..#..#..........#######.....#..##...#.#####.##....##....##..##.###...###..#...##..####..#.###.#.##.#.#####............###.####.####....#.#.###.
..###..##..#.#.##..#####..####.##.#.#....#.#..#.#...#.....###.#.....#..#####...##...###.##.###.#....##..#.####.#.###.#.#.#.....#..####..#..##..###.#.##...##.#.##.###...####..##.#..#####.######.##..#..#.#..#####.##..#..#..##.###..#....#.##..#..#.....#.##.#
#....#...#.#.#....#.##.#...#..#....#.####...#..###...###..#.##..#....#.##.#.#....###...##.#.#.#.#.#..##..##.##...###.#.###..####.##....##.##..#.##.#..#...###...#####.#..###...#.....##..#..#.##....#.####.##.#####.#.####.#..#...#.#.#..#.#.....##.##.##.#....
#######...#...#.###...#.##...#.#.#.#...#.##..#....#......#....##..#.##..#...#.###.#####..##...###..##.###...#..#.#.#.###.#.##......#.#.#.##...##..#.#..#.##.#.##.#.#....##.#..###..#.#.##.#..######.#.#.....###...#.##.#.###....##.##.#.##..#.###...###.#.#....
#.#.#.#.###..##..#.....#..####..###.#.###.#..##.....##...####..#..#......####.#..#.###...##..#....##.##....#..##.....#..##...#.#..##..###.......#..#####.#.####..#..#...####.#.###.#.#..#.#.#.###..##.####.......##.##....###...#...#......#.###..#..##.#..#.#.
..##.#####.#.###..#..#...###.##.##.######.#.#.##..####......##..#.#.##....#.#....#####....##.#.#.###.###......##..#.#.###.#..#..###...#.....#.#..#...#.####.#..##...#.###.#.#..#####...#..#...#...##..#..###.##...#...##.#######...#.####..#...#..#..##.###....
#..###...#.##..###.###.##.##..#.###..#......##.#....#..#....##...##.....#..#.###.#####.########.##.###......#.....#.#...###..#.###.#.#.##.##.###...#..#.#..#.###.#.#.####..#.....#.#..##.##...#.#.#.##.#..###..#.#....#..#.#.#...#......#.##..#..#..#..#....#.#
....####.#.#.#.####.........#.###...######.#...#.###.#####.##.#.#.####...##...#.##.#.##.#..#.##......#..#####..#.####...##.#.#.###.##..#..##....###.##...##..#..###...#######.##.#..#####.##.####.##..#.....##.##.###.##.#..#.#.#.##...#..##..##...#.#.##.###..
....###..#..#...##..#.##.####.#####.#.#..##.#.#.##...###.#.#..##.....###.##....#..######.#####..####.#####.#..#.#..##....##.#####...#....#####..#.#.#...#.###.###.#.........##.#....###.#.###..#.#.####.....#.##.........#...#..##...###.#..#....#.##.#.#....##
.#.#...###..#.##.....#..#.####.##....#.##.##.##..###.####.#.#.##..#.#####.#.#.#..#.#...###.#.......#.....##.#..##.##.#.###.##..###.###.##..######.#.###...#.#.#.#.#.##.##..##.#.####...####.####.##.#.#.#..#..####.....#.#..##.###....#..#.#...##.#.##.##.###..
#.###...#.####...##....##.#.##..#.###...###..###.###..#..##.###.#..##.......###..##.#..##.#.#.####...##..#.###.##..#...#.##...##..#.#####.##.###.#..#...##..##.##.#..####.#.##..#.##..##..######..##....###.##.###.#...#..#...#..##.##.#.##..#...###...#.###..#
###.....####.###..#...###...#.###.....###.........#...#....#...####.#.##.####..#....#..####.###.....#...#.#.##.#..##..#...#.#.#..#.#.....##..#.#..#.#.##.#.##...###.##.###.....###.##...###..######..##........###..###.#.###.###.##...#.###......#...##...#.#.
.#.#.#####.#.##.#.#.#..##.###.####.###.#.#.......#..#########..#....##..#.#.##.#.#..##.##.#...##.#..##.##..#.#..####.#..#.#..#.#..##..#.##.##....#.#......##.##...#.#....#.#..###.####..####..##.#.#...#####.#######.####.....#..##...#..#.#.##.#..#.#.#..#.###
.....#.#####.####.##...###.##..##.##.##...###..##..##.#.#.#..##...#.##.##.####.....##.##.#...##..#..#..#..#####.#####..#.#.#####.....##.#.##...####.#..######..#.###...#.#..###...###.##......#.####.....#.....##...#.##....#....#....###.#.#...#.#.....#...#.#
####.....##.###..#.#.#...##.#.###.##..##..#.#.#..#.#..#.#.#....#..#.#.####.#.#...####..##..#...#..#.#..#.#.#...##...##.#..#....###...#########.###..##.#.##...###.#..#...#.....#.#.####.##.#.###.####.#..#.#####.##.##...#.#.#.##.####.###.##########..###.....
....####..######....##..#...#.#.#..#....####.##..##...###.#.....####.#...#.##.##.#.####.##.##.##..#.#...#.###..#.#.##.#...#..#....###.#...####.####.##...#..#.#...#..#...########...###....#.##.#####.###.####..###...##.#####..##.####..#..#...#.#.##.##..###.
..#....##.............#...##.#.#.#..##....#....##.#.#......#.#...#.#.......#...#..###.#.##.#.#..###..#.#.#..#.##..##.#...#.##..#....#..###....#.#.##...#.###.##.#.###..#.#.##.#.#.##.##.####.####.####.###........#..##.#..###.##.#.#......####.####.#.#.#.#...
##.....#...#.###....#....#.####.#..####..##..#...#.....#..###.##.#..###....###...##..#.##..###...#####.##..#.#....#..#.#..#....#.####...##..#.#.####.#.###..#.#.#.#.#.#.##.###..#.#...#.#.....###...####.#....###..#...##....#.#..##.##.....###...#.####.##...#
##.####.#...##...####..#.##..###..#.##.#....######.#...######....##.###.#####.##..#..##...#....#.#..###..##..##.##.#..###.######.##.#.#.....##...#....##..#.....###.#...##......##.#.######.#..#..#..##.#...#.#...##.####..#.#..#.###..####..###.#.....##..###.
..#..####..##.###..#####..###.##......#.#..#..###.#...#...##..#.####.#.#.#.........###.#.###.#..##..####.###.##..####..#.#.##..##.#######..#.#....##...#.######..#..#.#.#..##...#.#..#.######.#..#####.##############...#.###...####..#..#.#.###.#.#.#.#.###.#.
....#........#.#..###.##.#####..#########....#.#.....#.......#.#...#..###.###...####..##.######..#..###.#.#..##.##.##.#.##..#.#.##..##..##.#.#...#.....#......#.####..####..##..##.##...####....##..##....###..#.#........##.#####.#...##.#.#.#...###.###...#.#
..#.#...#.##.#...#.###....##..#.###......#.##.#.#...##....#..#.#.#..####..##.....#.###..#.#..###..###.#..#.##.#.##.##.#..######.#.#.#.#.##.#..#.......#.##....#....#....###.#.#####.#.##.#..#.#.#..###.###..#....#.#..#..#.#.##....#..#.###.##.#..#.....#...#..
#...#.#.#..#.#.#...#####.###.##.#..#.###...#..#.#.##..###..#.#..#.......##.#..##.#.#...##.#.##.#####.###.##...###..###.#..#...##..##...####..###.#.#.#.#....###.##.....#.###.#.####..#.#.###...###..##..##..#.#..###..#.###..#####.#..#...##.###..#.#..#.#.#.#.
#.#..#.#..##.....##...##.#.#.#.#..###.###..#..#....###.#.#.##.##..##.#.#..##.#.###....#.#...#.#.........###.##..##.#.#..#.###.###.#####.##.#.##......####.....#.###.###.......#####..#.#.#..#.##..##...##....###.####.##..##.#..##.##..######.##..##..#...#.###
..#.##..###..###.#.##.#.##.#..#####..#..........####..##.##.##...######.#.###.#.##.#.#....###...##.#...##.....###.#..#......#.#.######..#.######.#....##...#..#.#...############..#......##..##.#.#...#.###..#.#.#.#..#.######.##....######...#..#..#.####..#..
####.##.##........#.........#######....#.##...############.#...........#.#..###....#..#.###..#....###.#.#.#.###..#.#.##..###.##..#....####.##.......#..#.####...#.##.....#..####....##.##...##....#....##.#.##...#.#.......#.........####.#..#....###.#..##..#.
.##.#####.##....#...####.##..##..##.##.##..###.#..#.#.##..###..##..####...#.###......####.#..###..##...##.#...##..#...#.#...#....#..##.#####.#.#..#..##.##.##.###...#.##..##.#....#.#..##..#....##.##.#.##.####...##.########.#..##.#.##.####.##.##.#.##.#.#.##
.####....##.....#.##....#..#.#..#####..#..##.#####.###.##......###.#.....#.#.#.###.#.#..#.######..##.##...##..#.#.#..#.#.#..#...##..#.##.#...##.#..#..#.####.....#..#####.#...####.##..###.............#...##..#.#####.######..#..#.#...#.#...###..###..#.#.##.
..##.#.##.##.#..####.#..#.###..####...#..#.##.######...##.##..##...........######...#.###.#..####...#...#.####.....#.###..#...#.##.#..#######..#...#.####.#.#.....#.....#...##..#.##..##.#..###..##..#.##.#.##.###.##.##.#..###..#.#.#..####.#...##....######..
#..#.######.#.#..#..##.#.#..##.#..##..#..######......#....###.#.#.#.###...#...#.#...##...#..##.#..######.###.....####..###.##...###.##..##..#.####....##.#.#..####...#.#.##....#.###.######.#.####....##########..#....#.###.###..##.#####..####.##..###...#.#.
#..#...##.###.##...#.#.....#.#...#....##.##.#.####.....#...###.#...##.#.#####.#..#.#..#..########.##...#####..##.##.##...#.#.#.#..##...##.....#...#.#####..#.###.###...####.#..#....##...#.#...##..##.........#.##...#.#..##..###..#....##..##.####.###..#.###.
.####..####.##..#.#..##...#..#.....#.#.##..#.####.#####....#.####.#.#...####...#...##..##.####.###.#.####..###.##..#...#..###.#....#.###.#.###.....#..#.##.##...#..##.#..###.#.##.#..##...#..#....#.##.#..#..#..#..#..#####....##..###...#######..#.##.####.##.
..#..#####.###.....##.###.##.##..##....##......#..#.#.#.####...#..#.#.###..#...#.#...#.#..#.###.#.#..#...#....#.#.####.#...#.####..####..##..##.#.#.##..###.#..#.#.##.##.##.#...#......####.######.#.######...####..##..###...##...#.#.#...#####.......###.##..
.#...###...##.#.#...####..#....##......#.#..####..........#.#.###....#..#.##.#.##.##..###.##.....##...#.###.###..##..####..#.#######.#.##.#....#..###.#.####..##..###.#.#..###.##.#.#.####.#...##.##..#.##...#.#####....#..#.###.#.##.#.##.##.####..#.....#.#.#
#..####.....#..##...##.....#####...#.#..#.#####.#.#...#.######....#..##.#.######.#...#.#.###..#..#####.#....#####....#####.##.#.#..##...#.###.#.#..#.#.##.##....#....######.#.#...#.##..###..##.#.#..#.##.#.#..#.######...#..#.##...#..#.#..#..##.#####.##.#.#.
#..#...##.#...#...#.....#..#...###..#...#...###..#....###......#.#..##.######.#..#.#..#..########.#.#..##..#.#..####.#....#####...##.....##..#..###..#..#......#.##.##.#...#....#...##....#####.#.#....###....##..#.#####.###...#.###..#..#...###.####.#.#...#.
..#...##.#..###..#..#....#......####..##.##.##.##..#..###.#..##...#..#.#.##.##.##...#####...#.....#.#.######.###.#.####.##..#.#######...####.....#.#..#.##....#####..#.##.###.#####....####.#.#######..###...#.....###.###...##.#.#.#.####..#..##..##.#..#.###.
#.....###.#....#....#.#####.#..#...#...#.#...###..#######.#..#.#..###.##.#####...##.#.#.##.....##..###....###.####...#.#..#.#######.##..#..#.#.###.####.#.#...###..####.##......###.#.#.##.#..##....######..#..#..##.......#....#..#.##.#.#...####.####..###...
##..#..##.#...###.#..#...##.####.#####.#....####.###..##...#.#....##...#.#.#.#......##..###.#.##.###....#..##.#..#..#####.#.#.#.#.##...#####....##.#####.#..#..####..##....#.##...#.#.###.#.#.#.....##..#..#.#.##.##..#.###..###.#.#..#...##.##.#.....##...##..
#.##.###..#.##.##..#.##.##....##..#..##.#...#..##....#####..###..#.#..##.#..#.#.###.##.#####.....#.##.....#.####....##...#.#...##..##........##.####.###...###.##.#.##.#####..########.#.###....##....#.###..#.#.####.#.#..##.####..###......#..#.##..#.......#
###.####..######.####..######.##......#..#...#####..#########..###.#.#.##.#.###...###.###.....##.#..#.#.###..##...#..#..#..##.###..###.##.######.#...##.#.##..#.##.....#.#.###..#...##...#...#..##.##.#...#..#.###..##..##.############..##.#.....#.###.#.##...
#...####.#...#.#.#####...#.#######.#######.#..###..#...#.##.##.#.###.####.#....##..#...###..#.#....####...#.#.##...#..###.....###...###.#.#..#.#...#####...#..#.##..##..#.....##.##.##.....##.#.##.##....###..#..#..###.##..#..#.##....#.#.#.#.######.####.##..
##..####.#.######.#.##.#..##.###.#.#.##.#.######..#..##.........#.#..###.#.#..#.##.##.##...###.##.#..##.###.....#...#.#.##.#########.#.##..###.##..#...##..##.#.##..#....###.....#.#.###..#.##.######...#.##.....#..#..######.....####.#####....##...#.#.##....
#.##..############.#.##.###......#.#.###.###.##.#.....###.....##.#.#...####..######..........#.##..##..##########..#..##....####...#..#####.#....#.....#..#..#.###...#####...#.#.#..#....###..#.##..####...#.#.####.#.......###.####....##.#..#..##.##.#..##..#
..####.####.##...#.#.#####...###...#.##.#.#####.#..##.#.#.#.###.##..#.#..#.#..#.....####.#..#....##.###.#.#.#......#...##.########.....#####.#.#...##..####.#.##.....##.#.##.##.#.....#.#####.##.#.#..##..#..#####..##...####.#..#.#.####...##.###.#..#.##..#..
#.#.#.####.####....#.#.##.#....#.#.#.#....##.##...#..##.##.##..########.#.####...#...###.#.#.##...#..#######.###..#.###....#...###.##.#...#.##.#.#..#.......##.#.###.#..####.##.#.###.####.#.#.#...#.##...#..##....###.#.#....#.#....#.....#..####.#.#....#..##
#...#....########.#.#...###...#..###.#..####..#......####...#..#..#....#####.##..#.#...#..#####.#.....#.#.##.#..#....#..####.###..##....#.#.#.#.##.#......#.#....#....#....###.#...#####.#..#...#....##.#....#.####.#.#.#.#..#...##..#####.#.#.##.##...#....#..
#.#...#..#.#.####.#....##....##.#.....##.###..#.###.####.#####.##......#.#........#..##.##.###.#...##.###.##..###...#....##..#..###.####....#...#.....#######..####.#..##.####....##.#....#...#.....####..###...##...##.###.#.#####.##.#...##..####....###..#..
...##...#..#.....###....##..#......#..#.#.#..#.....#.###..#######..#.##...#.#.##....#..#.#.#.#.#.##...#..#...##.##...#......##....#.##.###.#..#..#.##..##.#.##...#...###.#..#.#...####.##...##.##.#.#...#####.##..#...##.#...#.###.#.##.#........#...##..##.##.
.#.#.##.#...##.####..#.#..###.#.###.#####......#.##...#....#.#.####..##..##..##...#.##.#.##..#..####..##..........#...##...##.#...#...#...##..########.########.###.#..#.##.####..##.###.##....#..#######.##.####.##.#....#...#....##.###.#...###.###.#.#.....#
##.#...##..##....##.##.#....##...#..####.##.##.##.#...#..........###..#..#.##..##...#.##.##.##.####.###.....#..#...#.#.#..#...#.#######..#.#..####.##..#.#....#.##..###..#.###....#..#.####..#..##.#.##.#.#.#.###.###.##...#..#.....#..##.#.#........#...#.#.#.
#..#.#..#.##.#.##.#.#.#..#.#.##..#..#.##.#..##...##..##..###.#.###.#..#...##..######.#....#.###.#.##...##.#.#########..####.#.....###.#..#.#.#..###..#.##....#.##..#.#.......##....##.###.#.#.##..#...##.....####...#..#..#...#.#.#....##.####.#.#..#.#.#......
.#####.....##.###..#...#.########.#.####....#..##..#.#.#..###.###.#..#.#.###.....##.#.##.###.##.##...#.#.##...#.#.#..#.#..##.####..#.#...#..#.#..##.#.#..#..#.#..##....#...#####.#.#######.##.##..#..##.###..####....#.#....##.##.#.#..#.#.###...###.##...#..#.
....##.#..#.#...#...###.##..##.#...##.#.#.######..#.#.##...#..#.#.#..##.########..#..##.##..#...###.#.....###.##...###.#.##.#.#.#..####..##..#..##..##...#..###....##...##..######...###..##.#.#.###.#.###..#.####.#.#..##..#..######..####.##.##..#.##########
##.##.#...#...#.#.##.##.#####....###.###.###.#.##..#.....#####.#..##..#.....#...#..##.....####....#.##..###.#...##..##.#.#.#....###.#####.##...##.###....#...##.....###.##.##.####..###..#.#....#####.#.##.###.#####.#####...#...#..##.....#.#...#.#.#...#..#.#
..#.##.......#....#..##..#####....#....###.##.#.#.#.#.##.####..###....##..#####....#...#.#.#.##.##......##.#...#.#...#.##.####....#.##.#......#.##.#..#.##..##.##.####..#######..##.###.#.##.....#.#.#.#.............#...#.##.##..#.####.#.##...###.####.##...#
.##...##.#.#....#..#..#...#....##..#..#.#.##...###..#.#..#.#.#..##..#.##....##..#..#..##.#.#...###.##..#......##.#..########.##...#####...#..#..##.##.#..#..#####.####...#####..##.#.#####.#.#..##......###..##...##.#...####....#.#..#.#.###...##.###..###.#.#
....#..######.#..##..#.#..#...##.#..######.#.#..#..##..#.#.###.#.#...###.#.###...##.###...##.##.##...##.##..#.#.####.##.##.#.#.#.....#..##...#...##..#.####......#.####.#..###...##...###...#..##....##.#...##....##...##....#####.....#.###.#...#...#..##.##..
...#.....#......##.###.#...#.#####.##.#.###.###.#..##..#.#.###.##..#.....###.###.##...##.###.##.##..##.###..##.##...###.#.#########....#####...#.#.##......#####.###.#.#.#.#..#.##########.#...##.#.#..#.#..####..##....#####..##....#....####.....#.#...##.##.
###..#.##.#..##.####..#..###.##.###....##..#..##...##.##..........#.######.#...###.##......##.#.##.####...#....####.##.##..#...#.##.#.#.##..##########..#..##..#.....#.....###.###.##..##.####.##........#.####.##....#....#...##.#.#..#..#...#.##.######.##.#.
#.###.###...#.#...##.###...#.#####...###.##.########..##...##.#.#.#.#.....##..#...##.##....#.##.#.###...###..#..#..#.####.#.#.....#..#.#.##########.#...##....###.....###..##...##...#..#.#.###.....#....##..#.##.###.##..#...##.#.#.##..####.#...###..#.....##
..##.##.#..###...####.#..#....#..#.#...#.###.#.##.##..##...#...#####.#.####..#..#...#.#.##.#.##.##....##..#..#...##.####...#....###....#.#.#...##..#....#..#.#####.##..##....#..#...#..#.####.####..##########.#..###.##....#..#.###..##.#.#.###.###.#..#.###.#
##.#....##.#.#.##.#.#..##..##.#.#........####..#.##.#...######..#.##.##.##..#..####...#.#.#....#...###....#.###..#.##.....##....#....###.#.#.#...###..######....###.#.#.#...#..#####....#..#####..###.....###.#.##....#...##.###.#.....###.########.#.####..#.#
...###..##...#...##..#.#...#...#...#.#.#.....#..##...######.#...##.###.......##...####.##.#.####....#.#.#.....#...###..###..#.##.#..#.###.###..#..#..#.####.###.#####.###....##..#..#....#..#.#.#...##...#.###..###.##.#..##.#.......##...##....##..#...##.#.#.
#...###...#.####.#.#.#.##.##..###.####...###..#..#......####......#.##.#...#.##.##..###.#...##..##...##.###..#..#.#.#..##..##.#####..#.##.#.#....###....#..#...#..#...#...#..#....#.######..##.##..#.##...#...######.....###.#.#...###.##.##....###....########
#.#.##.#..#.#...##.#.###.##.#.#..####.#.#...#..##.......##.##.#####.#.#......#.####...##....##....##.#......####....#..#####.#.#.####..##.###....#.#..##.###...#..#.####..#####...###...#....##....#..#..#.###.#......#.###.#.....##....#...#........###...#.#.
####.##...##...##...#.#.#####....##.....#####...#####.#.##..#..#.#.#.##.....#..#.#..##.###..##.....###..#.#.#...#..#..#..###.#..##.##.####..##.##.#...#.##...##.##.##.#..###..#.#.##...#..##...##...###..#.#.#..#.###.#....##..##..##.###..###..####.....#..#..
#..#..##.##.#...#........#.##.#.###.#....#.####.##...#.##...##.#####.##.###..#.#.####.#..###..####.#..###......#.....##.#.#....#..#.#....#..#...#...#.####..#.#..#.###.####.##.#.....#..####.####...###..##..#..#.###.##..##..#...#..##..###...#..#.##..##.....
.#####.#..####..##..#.#.#.#.##..#..#.###.#.###.##..####....##..###.#...###..#.###.#.#.#..##.####.#.###...###..#..#.######.....###.......#######...###.#....###.####.#...#..#.##.##.....#.#....###..#..####.....#..###.#....#.#.#....###.#..##..#.####.##.......
###.##.......#.#...##.#...#..#######....#.#..##.###.#.#.###.####..#####.####.##.#..#.....#.##..#.##...###.#.##......###...#.##.##.###...#......##..##.#.#..#..####.###.###.#.###..###.#.#...#..#.....#....#.#.##..#.#.#.######...###..#..######..#.##...#.#.#..
.##....#..#######.....###.##..#.##.##.#.###.###......####..#..#...###.####.#.#.##..#....#.#.####.#..##.###......###...#######...######.###.##..#....#.#..####.###.##.#.....##..#..#.####...#...#.#####.#..#.#.###..###..#.#.#.####.#..##.###.#.#..#.....##.#...
..#.##.....#.#.#####.#.##.#..#.#.....#.#...#...#...###.##......#..#..####......###.........#.##.##.##.##..#######..##..#..#.....##.###......#.###.##.#.####..#.##.....#.#####.##.###..##.#...##.#.....####............#..###..#.#.##..#.#.....#.#.###.#..##.#.#
.##...##.##.##..##.#.#######.#.######.#.###.#.....#...#..####..#.#.####.#..####.#########.#...#.##.#..#.#..#####...##.##.....#.##..#.#.#..###........##.#......##...###....##.####.#.##.####.##...##.#...#..##..#.#...####.#......#.##.###..##.....#..#.#.#####
#.##.#.....###....#..#.###...#.#.##..###...##.##.###.#...#######.#.....####.#####...##.#.##...#.##..#.#..##.#......###....##....###..#.####.##..#.##.#.###.#.##..####.#.....###..##.##......#.#..####..........#.#.#.#.#..##.##.##.#.###.###...##.#.####.#..###
#.##..#...#.#.#.#.###..####...##..#.##..##...####.##.#.#.###.#..####.#.####.#.#.#.#..#.##..#.##..#.#....##.##.##..#.###........##.##...##.#..##.#.#.##..#..#.#.....#..#......##..#........##..###..#####.#......#..###.#.#.#.#...#.#.#.##..#.#...##..#.##..#...
#.###...###..#########....#.#..##.#...##..####.#.##.#.#.###.#.##.#..#########...##..##..##....#.####...#.#.....#.###.#.##...........###...###..#.##.#.##.####.#..#..#.#.#..###.....###....####.#..####.#.##..#.#.#.###.#.##......#....####.#.#..##...####..#...
..#...#.#.##..##.....##..##.#.#.####...#..#.##...####..#......#.##...#.##.#..###.....##...#..###...#####..#..##.#....##.#...###......#....#.###.#####..#.#.####.#..##...#.#.####.#.#.##.#...##..#......##.#..#.#..###..##...####..#.######.###...###..#.##.#...
.####.###.#..#...#..#.......#.#..####......#.......#.#.....##.#.###.#...#.....###..####..#.####.#.##.#.#...#..####.#.#.##.#.#.#.#.#.#..#..#.#...#.#..#.##.##...##.#.##.##.#...#..#........#...#.#.#.#..###.#...#...#..#.........##..###.#....##...#..#.#.##....
#...#..#.#.#.......#...#####.#....#.#.#....#..#.##......#..####.###.#.#.####..#.#.##.............#..##.....##.......##.#.....####.#..#..##..##..##..#..###.#.######..#.#..####......###...#.##.#.##.#...#..........#....#.###...#.#.#..##..#.#.#.......##.##.#.

17 198 293 2 2
...#........######...##########.....#.#..##########...#####..#...#####.#.......#.#...######...#.##..##.....###.....#.###..####....####..#.................##.....#.......#.............#..#......####.
...#......#...#..#.#.##########.##.####.#.########..###.#######.########.....#.##....######..#.....#........#.....##.####.####..#..####..#............##.##.....##.....#.....#............##.....#####
#..#.#...##......#....########..########..#######..#.########....######...#...#...#########....###.##...#...........#.....####.......######..............#....#.###.....##.#..#..#.####....#.#...####.
..######.........#....###########.####.###.########.#.#.....###...#####.#.#.###############..#....#.##..###..##..###.......#.##.#...#######......#........#...##.#.#..#.#..##......###.##.###.#...####
.########.....#..#.#..#######.#.#.###.#.#########..#.......#......####....#..###..#########..#.#.###....#.....#..#....#......###....#.######...#...#..#......##..##.#.#..##.....#......##.###..#..####
##########..#...#..#...######.#.#..###.#########..##......####.#.##...##...#####.##########...##...#.#.#.....#.###...#......##..##....####.##.#...#####....##..######.######...#....#..###..##.#...#.#
##########..#.......#.#######......###.###.##....#..#.##..#.##.....##..#.....#..###########..##..##....##........#..........#.#.....#...#.#..#....######.##.#....####..####.#.##.........##.###...###.
##########.#.#.......#.#..##.....#..###.....####.###.##....#.....###..##..##..#.#########...#.........#..#...#.#..#..#....#..#.........#####.#....#########....#..#####.#####...........##.#.#....###.
#########.#.###..#....###......####.#..#.....#########......#...#####.####..###.#########..####.....#..##.....##..#.#...#.....#.#.......###......##....####........##.####..##........##......#..#####
##########..##.........#.#.....###...#........#######..##.##########.#####...############..#.###....#...#.....#####........##.#........#####..#...##..#.#..#.......####....#......#............#.#####
##########..###.#......#.##...#####..##.....##.#.####.###.###########.#####...######.####...####....###......####........##.#.......#...##...#.......#.#....#...####.#..####..........####.......#####
.###.###...#.........####.....#...#.##..#...###.#####..###.######.##.#######..#####....#...##.........###.##.####..#.#...#.#.#.##..##........#....#.......##..#.#...#....###..#..#.########.....######
#....##..###.....#....####.......#.#...###.####...##..##############.#######...####....##.#.#.#........#.....###............#######..#####.###..#.....#####..##.#.#.##.######....###########.#.#######
.##....####.....#.#.....#...###....#.....#..#...#.....###############.######...###.#...##.#..##........###...##..............################.#....####.###..#.####.#..#####....###########.#.....####
.#.##.....#....#...###..#......###....#.####..##.#..##.############.....###........#....####.......###.#......###..#..##.....##########.#.###......#.#####.#.#########.########.#############...#.....
#........#.###.#........#..#.#..##.#.##.###...####.########....####...#######.....###...####.#..#.#.#..##.....###.#.......#..######.###..#............######..#####....#######...#.########.#.........
.#..#.###...####..##...########........####...###..#########..#..####.########.#.#..#...###....##..##..#....#......#......#.#....###.##....#..#........####....####....######.#....########..##....##.
....######..#####.##...#######.##......####..##########.####.###...###############......#.....#.#..###..............##########...#.##...#........##....####..#.##.....##....#......########....#.....#
...#.#.#....######.##....########.....####.#.#.##.......##.#.##.#############...##......#.##....#.#####.##....##....#..####.......#.#.####...#..#####..##..####....#.....#.#...#...##..#......##...###
.....#.#...#######.####...######.####........#.#.....#..#####......##########..###...###..####.########..###............###..##...#.######.....#...##.##.#.....#.##...##..#.#####...........#.....#.##
#......#..########.###......###.#....................###...#.##.#.###########..........#.#############.....####...#....#....#....#.######.##...###.##.##...##...#.....##...##.##.###.......#.#.......#
#..#..#.##########..##.....##.###........##......#....###.###.#......########.....#....##############......####...#.#.##..##..#..##..######....####.....#.###.............#..#.....##......##.....#...
.........########...###.#.###...#..#.##....#.##.....#.######........#########.....##...#.###########.#....##########...####...#.####..##..#....#.....#...#####.....#..#......#####....##...##....#....
#.........##############...###.####.#####....#.......#######.###...#####...#....###..##.#.#.#######.#.....#######......####.#.##..#..##...##..#.........#.##.....#..#.....#..######..#...#........#...
..#####.#.##..###########...#######.####.##......#...###.##.........####.........#.#...##.##.##.#..#..#...#########..#####...####...###..###.......##.######....###...........#####.#..##.##.#.##..#..
..#####..#....############..#####.#.####...#....#......#.........#..##.#..#.##...#.##...#...####...#..##.#################....#.#......#..#........####..#.#..######....#.#.....#####.#....#####.##.#.
.#.####.#...#.################.#.#..####.#.......#...#.#.....##....######.#.........##...#.#.####.....####################.......##..##.#..#..##......#.##...######...##.#..###..####..#.....#####...#
.........#.#.#################.##.########...........#.##......#..#.####.#.#..#.....#.......#####..#.####..#############.........##..#####.###.##.....###......##......#...###..########...#...#....#.
...##......#############.###..###########....#.....######........###########....#..#.......#.####.##.###..##############..#.#...########..#.######....##..##.##...#...##.........######..#............
....#.......##############..#####.########...#.......###....#.....############..#..........##.#....######...##.##########.#..#..##.#####..#.##..#.....##.####.#..#.####............#.##........#.##.#.
#..#.#.....##############.######..#########......#...##..#......#.############.........##.#......#.######..##..###########....####..#######...#.......#..###.#...#######.#########.####.#.....#..#####
#.....####.##############..####.############.##.#.#.....####....###############....####.#.#.#.##...######.......#########..........##########.#...#..##...##....######...########...#####.......######
..#...############..#......####.#.##########.###.........#....#.#########..##.#..##...#..########.##########.....####..####...#........#.######.......#....##..########.#########....#.#..#.#.#.#..##.
#.#...#####..#####..#....#.########.#####..#..#.#..#...........##########..#..#.##.........#######.########.......##...#####..##......#..######...##........##..###......#########.##..#####.....#.#..
.##########....###.......#...#.#..##..###..#...#....##.#........#######.....#.#............#######..######....#..#..#..#####....#....#.##########..#..##.###....#####...#############.#.##.#.....#..#.
#..#########..#.#........#..#..........##.....#......####..##....#####......#....#.........####..#########.#..#.#..###.######.##.#...#..####.#.############....######..#.#################.###.....#.#
.##########.......#......#.....###..#...#.........########.####..#...#..........##....##...###..###..##......#.....########...##.#........#################.#.#..#...##################.########..#.##
.#############...#.#..##......##..###....#....##....###########...#..#...............###...###.##..##.#...#.###.########.##..##.#...........##############...###..#.....#############.#########.#.#.##
##..##......#.#.###........##.###.###..####.........############..##.###.#..####.........#####..#.#.........#...########.#..###...#..#..#...###########.#...####..#...#..############.#.########..####
###..#..#.#.......#.....#..#...#.#####.#######.......####################.#.#..##..........#.#...#......#...#...########....####.#..#.#.....############...#....#......##.##.#.######....######...####
####.#.#......#..#...#..#.#############.######........###################.#.................##......##......#############..#..###..####......########..#..........#...###..#...#.#...##..######.#.#.##
####....##........#.##....#.##########..#####..#.......#.##############.##.........#.....##.....#...#.#.....############....#.#...#.#...#......#######..####.##..##.####..#..#...###.##..######..#.##.
#####.#............#...##..###########....#.###...#...##################.#...........#.#........###....#.....###########....#........###..##.##..#.###.#.......#.....######..#.#.##...#.#######.####.#
####......###.#........#.#############....#..##..#..#.#################.....#....#.#.##.##......###..###.##.#.###########.#...#...#....#....##.##..#.......##.....#..#########..####....######..######
####...##....#...#....#..#######.#####.#..#....#.##.####################.#......#.####.#####...####..####....##########......#.#.#..#........#..####............#..#....#####..#####....#######..#####
####.##....#..###.....##.######.#..#.#........###..####################..#.....######################.##.#.##.######......####....#.##.....###...#.##.##......#......#.######.##..###...#########.####
.#.#..........###.........###.#.##.........#..####..###################.#.####.##.###############.......#.#..#########.#...#.#..#...##...#####........#.##.##.....#..#######..#.#......#########.#####
##.#....####...#.#.##.##...................#..##.#######################..######...###.##########...#.......#######.##.##.#.###.#..##..#.#####...........##.....#.#...#..##...#.#........#######..####
###......###......#..##.......#....#.#....##..##....####################..####.#.......###.#####...###.......#####...#####...#........#.#######...........#.....#...#.....##.#.#.#....#.##...###..###.
####....#..#....####.#............#.#.#..#.....##..################.###..#.#####.##...#..####.#...###..............#######.#............##.####..##..#....#......######.....#.##.#.....###.....##.##..
####.......####.###.#.......#...............#..######.#########...#.##....#####..#.....###.##....#.........#....#..###########....##..########..##.####..##......#.###.....#####..##..####.#.....###..
###.##....#.#########....##..#.......#.........####.##########.#..........####.##.#.#......###...####........#....#################..######.##...##.####.##.....##..#...###.#.##.......#####.......#.#
###.##.....###.#####....####..............#.....###.###########.#.......##.#.####.##.#....####.#.####...#....#.....#########.##.#############......#.#.#.........#......#.#..#.#.#.......#........##..
###...#....#.#.....###...##..#.......##.........###...###.#.###.....#...####.####..##.....##.....####..#.....#...###########..#.#.##########...........#......##........#...###.....#..........######.
#####..#.#.##.#...##.##..#...##.#..#..###.....#..###..#.#.#.###...##...####.#.#..#.###.##..##...##.##.##.#....#.....###.....##.#...######..##.........#....#.###....#.##.########.#..##........#...##.
####.#####.#.#.#.#....#...#...###.##....#....##.######.##...####.......###.............##...###.#...####.#..##....#####.....#.#..#....###..........#........#..###..#...################..#..#..#.###.
####.####.#.##..#...#.....#..#.#..#..####...#..########....####.......#.#......##..#..#.##..#######..########..#....#....#.....#......##..##.......#.##.##.#...#####.....###########.###..#...#......#
##....#.#......##.......#..#######.#.####...###.######...#.#.#.......#.#.#....#...#.....##.#########.########.##...#.#....#.......#...##..#.#......#####..###..####..#...##############..###......##..
...#....##.#...........###.....###...####.###########....#.............#...#.####.#...#############.#..#...#########..#.........#.........#...#.....###..#.#....##.##...#######.#.##..####....##....#.
.####......#....#.#.##...#.....###..#..###.########.....##.....#......#.#.#.###..##.....##..########..#..#.########...#..###..#.##......##.#.#...#.....#.............#..#######..##..######...........
.###.#.........#.#..####........###.##.####....#.##.....###...###...#..#.....#.####..#.#.#.########......#.####.#########.########.....####.............................##########..###.#.#.........##
...#.#.......#.#.###########..#.#..####.#...##....#....####..##..#..#....#.##.######..##...#######...#.#...####..##############.##....#.##.#.#.###.............#......#..#########....#.........#.#...
....###.........##..####..#.#..#......###...###.......#.###...#...##...#.#.##..####.#....#...#####....#....####..#################......#.####..###........#.......#.#.#....#....#.###................
....#...##.#...###..####..#.####.....####.#....##..##....#.#.#.#..##..#..........#.##.#.....######.......#####.#.#######..##########......##......#...##...........#.##.#..###....#................#..
.......#......####......#.#..####.#.#.####.....#####.#..##..#...###...#....##.....##.#.....#.#####...#........#.#########.#######...##..#.###.#.#....##........#..#...............##.....#.#....#.####
.....#...#.....##.......##.########.#...##........###.##.#..#######.#.....###....####....###.#####........##..#.#######...######.#..#######..##...####.#.##.....#.......##....#..#..........##..#####.
...##.#.#......#......#.....#######.#..###...##..#####.....#..######.....##.##..###.#....####..###........####.##########.######......#...#######...###.......##............#.....#..#...#.##...######
.########....##......##.#...#####....#..##........#.###....######...##..####..#####.....#####.##.###......##..###.###.#.#######...####...#..#####..####......#.####..##.#..#.##...#.....###..#.##.###.
##########....#...#..###.##..#..##.......#...#..#######....##..#.#.#...#.###..#####.#.###.####........##########.#.#.#.#########...#........#########..........#.#...#.......##........###...#..##....
###########.#..#..#..#..##..#.#####.#...#.....#####.......##..........####.#.######.#..######..#....####.#.##.###...#.##########..##...#.....#######..#.#..#..#..............#........##..#....##...##
###.#######..#..#..###.#......######.#.....#.#.#####.............#..##.#####..######...########...##.###.#.#..##....###########....###.......###############.....##..................##.........#...##
#...#####....#.#...#......#....#####.#.....##.####.#.....##...#.......####.#......###.#...###.......######..#...#....#.##########.#.#.#....#.################.#######........#.......#.##...#.........
.#....#........##.....###..#..#.####..##...#..#####....#.#...###.####...#.#....#.##...#.#...#....#...#######....##..##########.###.............#######################...#....###.#..#.......##.#.....
...#...#.......#....####.#..#....##..###.####.####.....#.##..###..#....#....#.#....#.##..##.####.#.########.#.........#.#######.#..........##.#..##.##################..#..................#.##.......
........#.......#####...........###.##.#.......###..#####..#####..............##........##.#####.##########.#.....#.....##.#####....#....#...#..#.#############..##...#....#....#...#.....###.......#.
#.............#.#####..##......#.#####..##.#...##.##..#..#####...#.#.........##........#############.###.##...###....#..#.#.#............####...##############....#..#............####....##...#.###.#
...#...#.......#.###...###.#......####..#.##....#..##.....##.....###.........##.....#..####################...##..#.#...##..##.....#......##....################......##.........##.#..######....#####
...........####.######.###..###.#.#.###.####.#.#.##.........##.#..###..##...####..###...##########....#####.#...###..#####.##.##.##.#.......#..#..###############.........##.......#...#####.#.....#..
.......#...#######.##...##......####....####......#....#...####.####...##....#...#.###..###.########....##...#####....##.#.#.....##.#..#...###.....##############........#..##......#.#####..##..#####
#..........#######.#.##.#......#...#.#.###..#..##.#.#.##...#####....#..##..#..##.######.##..###.#.##...###....####....###...#.#..#.....#...###############..###.....#..#.....#....#....###...###.#####
.###...#...#####.#....#.##......#..#..###..#..#####.....##..###.#....#..#.....#.#..#.#.....###.#####..####...####.#..###.....##.......#...########..######.####...###.......###..........#....#..#####
.####......#######...#..#..#...#...#..###...####..#.#........#.#..#..#...#.#.##.##.........###..#######..###..#.##....##.##..##.............#####.##.####.####.#..#.##..#.#...#....#......##.....#.#..
.###...####....##.##........#.#.#.....####..####.#........##..#..#.#####..#..###...........#...##########...#.#..#...####.#..#..........#..######..##..#########........#...#..#...##...........#####.
####...######..###.#.........###.......#####.#..##...#.#...#..##.####.#....#.#####.##.####......#####.##..#.......#..###.##..#.#.......#.#..###....##.#.#...####....#.##...####...###..#...##..#.#.#..
####.#..##.#####.#....#.....#####.#....#######...#..#####.#.......####....#....#.##...###..#....#####..#.###..#......###.#.........#.....#.#####...#........###...#.##..####.#....##.#....##.##...##.#
#####.#..#.#####...##.##.####.######...##.####..####..#.###..#...##.#...#...#...##......###.....#.##.....##.....#.#..#######..#.#...#####..#.####....##....#.###.###.##.#.#.#.##..........#....####...
######......###.....#....###..######.##..#.##...####.....#.#.##..#..#...#.###...####...####..#....#......####.......#.######..##.########...######.######.#.#.###..#####..##...#####....#..#..#######.
###.####.#....#.....#.###....#######.##.......#####....###.#..##....#.....###...##....###.#.#.##.#..#.....#........#.#######.#..###.#####..###############..#####...#####............#..#.##.######...
######.###.......#...#.###..###.##.#.......#..#.###....###.#..##.#.......##.....####...........##.........#.#.#.##.....##........#...#.###..#.##################.###.#.###..#.##....###..#...##.##....
.##..#...#..##........#.#.##.###.........#.##.#........######.####......###...#.#####.##.....###..#..........#.###........#.#....####.........###########.###########.##.#####...#.###.#.#.##...####.#
##..###.#...#.............#######...#....#######.#.#.....##########.#..####..##.##.#....#......####......###..#.#.#....#...##.............#.....########.####..###..##..###########.###.##..###.#.#...
#..##..####.....#..##..##########....###...###.##......############....###...#.##...#..#......#.#.......##.#......##...#....#.............##..#.########...#..#######################.#..##..#.#.#....
....######.#.#..##.##.##.#########.#.##...######....#.##############.#...##..#................##......#.........#.##...#.....##...#......####.#..######..##..##.#################.......#...#.#...#...
......#######.##.......#..########.....#..#....####...############..###########...#.....##.###.##.#..#...........##........#..#.###..##....#.##..###...#.#####...###.#...#######...........###..#..#..
...#.###########..#..#..#.#########...#...####...#...##############.######.#######........#####.##.#.#..##.....#.##.#...........##..........#..#.........#####....#..#.#########........#..##.........
....#..########.##...#.###########.#.......####...#..##############.###########.#.###..#.########....#..#.##......#...####......#.##....#######..........####..#.#......#.#######....###...#......##..
....##.########.###.###.#.###########.###..##.#..#...##############..#.#.#####..#...#...#.#####.##...#.#.....#...##...######...#..############.......#..######..#.#...#.#########.##.####....#...###..
.......#########.##.####.########..#.#.##.##.#....##.##############..##..#####.##.#.....##.##.#.#.#..##.....##........#######.#....###########.........#.#####.##.......#.######.###.....#....##....#.
..#....#######.###...#..#.#.#########.......###.....################...#..######.##....##.####...#....####..###...#...#.#.##.##...#############..#......##########...#..#..####.#.#....#.....#.......#
..#..########.##.##.......########.###..........#.#..#############....##...#.##...#.#.##.........##...###.###..##..#.#..###.#.#....##############.......##########......#..#####.###.....#.#..##...##.
....#.#############......#....#####.#..#..#......#..############.#....#...#.##............#....#.#.....##.##.....##.#######.....#..####.#######.......###############........#.##...#......#..#####.##
......##########....#....##.....####...#....#.........#######.#.#...#....#......#..#.#..#..#..##..##...#......#.....##########.##.....#...######.#..#...##########.##.....#.####............##....#...
#..##.#######......#......#......#####.....#....#...#.#######...#....##......#.#.####......#..#.##.##.#.#....#......############.........###.####..##..####.##.########...#####..####......####..#....
###...#######...#.#.....####.##.#...##........#.....#...#.##..........##.##...#..#..#....#...##..####.####..#....##..#########.#.#......######...##..#.##...############....###.######.....####.#.....
####.#######......#....#..##.#......#.....##.#......##..#.#..##.#...........#.....###..#.#...##.#############....#.#.#####........#.#...##........##.##..###.##########.##...#...###.#..#..#####......
####..#######.....#....#..####.....##.....#####......###.#...##..................###.#..#..####.###.###.####..#####.#####........###....#.#.###.#.#.....#....############.....##..##......#.####.....#
###.#.###.###....###..#.##.###....###.#...#.#.#.##.#...#....##...#.......#.....###..#.#.####...#####..####....#####.#...###..##..........#.#######.####...#.###.#######......####.#.#...#.#####.....#.
##.##..#.##.#########.......##...#.###...................#...###.#.....#...##...#...#.#.##.....#####..###..##.#####....##..#..............#.###.####.########..#.######.#..###.##..#####.....#..##....
.####.###..#.###.###........######...##....##....#####.......###########.#..#.####.###.#....#.....#.#.#.#...####.....###.#####....##...#.##.####.###.#.#####...#######....#.####.#.###......#...####..
..##....#....####.##..#....######...###..####.###.#..........########..#....###.##.#.##.#......#.......#...######....#########..###.......#..##..############...##...##.##..#######.##...##..#..##..#.
#..#.#.##...#######.......#######...#.#########.#....###.....##.#.###....##############.####.##..#......#.#######..#.#########....##.....##.##################.##..#....#..############..###..........
......##...######.........#######.#.#########.##....#####.....##..###..#######.#######.##.##....#..........########..########....##.........#################..#####...###############.#..#...##.....#
...#.....#######.....#.#..######.###########.######..###.#......###.##..##########.#########.....#......##########..###########..###.##...###.##...############.####..################......#.##.#....
##......#.#.######..#.#..#######..#########.#######..#####.#..#...#...#.##########.########.#..#....#..#..#####################..###.##..####.#######.#########.###....#.#############......###..#....
.....#......#####......#.#######..#######.##.######...#######.#.#.####.##########.#########.........###########################..#.###..#####...#.#...##########..#.....#.#############.####....##.#..
....#####..######...##...#####.#..#######.##..####.#..###..###..#.#####.##########..#########....#.##..#.######################...###.#######.....##..################..###############...#...#.#..#..
....###.##...####......#..#...#...##########.###..###.#.#..###..#.######...#######..#...##.........#....################.####.#...#...#.#####......#..#####.#####..#..#.##############.......#.......#
.##.#####.......##...##......#.#..######.####.##.###..##.#.....#....####...##.#..#.#....#.........#.....#.#.##..######...#####.....#....######.....##..#.#.#.#...#####..##############.#..........##..
#.########...##.#...######.....#...###.#########....##.#....#..........##...#######...#..#....#....#.......#...#...########..####....#..##.#.....#.......##...##..#.#.#.#..###############............
...#######...###....#####.#.#.#...#.......#..#..#.#.#.##..........###..##...##.####.#.....#....#.......#.......#..#...##.#.#####.......##...#.#......#######.##...........#################.####......
#..#######.#######..######..##.#..####.#.#...##.#..###.#.........#.##.##.##..#.##..##..##.....##.....##.#...........############.....#########.......##########.####.#.#...################.#.........
.##.#..###....#############..##.#######.#.#..###...####.....##.......########.###...###.#...#..##..........###..#...#############.....#.######.##.....#############...###..##############..#....##....
........###.##.############..##...#####..##...#....#.....#.###..#..#....########....#####..#.#.##.#..##.####..#.##..#.##########........##.........#################...#################..##......#.#.
.#.#....##..##...##########......######.#..#.......#.##...####..#....#...###################...###.##..####.#.#.##....#########....#...#....##......###############...####.#.#####.######...#......##.
..#.......##..#.#.######.#...##...##########.##.......#.#...##...#..###.##################...###.#..#.#.#######.#......#######..#.##.###....####...#########......#...###...#######..#.......#....####
.....#.#.....##....###.#...#..#...#############..###..###.###.......##########.#############.######....##########...##########.#####.#......##.##..########.#......##.###...#.###.........#.##.....#.#
....#.#.....#.#.....#.##..##..#....#############..#...##.#............#.#####################.#########.########.....##......########.##.#...#..######.##.......#########..#####...........####.......
.##..###.........#######...###.....############...#.#.###..#.......#......#.###############.#########################.#.....#########.#.#....###.###.....#....############.#.##.#......#.......#....#.
#..#..###..#...#..#######..#####....###########....#..##....#.....#......####################.#######################...##..#########..#....##.#.##....#.#.##..#############..#...#.##.##.####.##.....
...###..#...#.#...########.###.#.....##########...##.#..#...............#.#############################.##############.#.###.######.#....#..###.###....#...#..#.#########....#..........##.########...
#..#.......#.#.....#######.###......###########....#...........##...#.#.################################.############.#.#...######.#....#..#..#####.#...###....#############....#.....#.##..########.#
##....#.##..##....#######....###..##########....#...###..##.##.......#################################################.......##########.###....#..#..#......#.#...#######.##.#.###..#.####...######..#
......########...#..#####.....#....#########....#.##....##......#.....##################################..#######.###.#....##.#####.##.####......#..##...#..##.#...######.#..#####.########..##.####.#
.#.....##....#.#.....#####..#......#.######..#.###.....##.......#....###################################.#.##.##.##.........######.##..#####.#...#.###.#...#.#..##.#####.#########..########..#.##.##.
#.....#.#..#........######......#....####.###...#......##.#...###..######.##############################...##............#...##..####.#####..#..#...##....#.#.##.#.####...########...#######..########
#.....#...#........#.#########.......#########...###.##.........########.##################################.###.....#........##...###.#######.........#...#...#..#####.#.#.#.################..#######
.......#............#######...#..#..####...###...####............########.#############.######..#########.#.#.#..#.###......#.#.####.#####.##..#.##.##.......#....###...#...###########.#####...######
...#....#........###########.....#..#####.#.....######...#...#.##..######..#.##########.#####...###.....#.####.#.....##....##....###.#..###.#.#.##..#..##..###...##..#..#..#.#.########...####.#######
...#.#.......##.##########.##.###.#.####..##..########..##.........####..#..#########...###...............#.#....#...#....##...########.#.##..#.#.#.##.....##...#.#.#..##...#.....#####...############
.#..###..######.##.#######.#.################...#####..####........######...#########.....##................#.#.....#...#..#...#########.....#.#.#.....#..####...#.#.#.......#......###....#....##..#.
#######...####..#...######.##################...########.........#..#####....#.####.....##.#.........#..#.##.##.##...#......#..##########.....##..#.##..#...###...##.#...#.........##...##..#..##..##.
#############....#.#.#.#.######################.##.#...#..#.#.........#.#.....##.##.......######.....###.###..###..............#######.#.#..####..##...##..#.###...#....##....#..#...#.##..........###
##....####.##...###.....#.#.######..###########..#....###.......#......##.#...##..#.#......###.......##.#.#...#...........#...########.####.####.###....##.#.###.......#.##..#...#..#####.........##.#
..#.#....####..#####...#......##############.....##....###.....#......#..#....##.........###......#...##.##....#.....#...#..######..#.....#.....#.#####.#.....#.#..#.#....##......#..###.....#.....##.
.###.....###....##.##.#.#####.#######.#######.....#...###.....#........#.###...##.........#...##..###.##.##........###.....#.###.......##.....#..#.####.....##....#...#...###.#.....#####........#.#..
.####..#.#.#....##.###..#####.....##...####.........#..##.###....#......#...#...#...#....###...##..#.#.####.#..#........#....#.##..#..#.##..#.#..######...###.........##.....##.#.#######.#.#......#.#
######.##.##....#.#.#.....###....##....#####..###.###.#.#..#..#...........#..#.##.#.######.....####.....#...##.......#.#.#...#.....#.#....#####.###############.....######..#.##.####.#..###......#.##
#######.#........##...#....##......#..#######.######..#.##....#.......###..#.####..#######......#...#.......##.......#.#.....##.#....#...######..#######.#####.#...###################...###..........
..#####.......#...#..#..............#.#######.########.#...............##...#####.#########.##......##.....##..#.#..##.....##......#....#.##..#...######.#######.###.....######.##.#.##.#.##......##.#
....##.#..#..........##....#........#.########.#########.##.#####.....#.#...####.....#####...##..#..#.....####.....####...##.#.###.......##........####...#####.#.#....#.#.####........#.#.#..........
..#..#.#.###..........#.#.....##..#.....#######..#######..#.####.##.....###..####...######..##..#.#............##.#########....#.............###.....##...#.###.#..#....####....#.......###.#.##......
...#####..............###....#.....#.#..#.####.....####..#.#######..#..####............#.#.##....#.##......##...############.....#......##....##.......##..########..###.##.###..........##.#.##......
...##.###.#####..###.####...#.###..###........#######.....########.########....#........#..#.#..#.###..#..###.#.##.##########.....#..........###.....###..#.###..#..##...##.#.##..........##..#..#....
...#..###....##..#....#####......##.#####.....##.#..#.....########...######....##......#.##.#.#...##..#.......##..#########..#.....#..#.#....######...##...####..#..#......##..#.....#....#.....#...#.
...#....#.#.##....#..#####.........######..#....##.###....#################.###.###..#......##...##...........##..##########.#######..###.########...####........#..#......#....#.#......#.........#..
...#..........#.#..#..###..#...##.#########....#.#..#.....#####################.###...#....#..#.###....#.#...#.#..###########.##.####...###..#####.#..##.##........#...#..#........##.............###.
...#..........#..##.#....#.#.####.##########.##.#....#....##################.#######.#.#.###..#..#..#.#.####....#.######.###.##..#......###.#.####.#.....##.#####.#.#..#.###....#.#.#..##.#....#..###.
###...#.............#..#..#..####.#..###########..##.#.#..#.###############..####.######.###...##.#.#...#.##......#####.#####...#.......##########.#....#######.##......#.###.#...##.#...###...#..#...
#..#..........#.##.#.###...########.############..##.#.........############....##..#.########...####.......##..#..###.####..####.#....#######..##......#######...#...#...######.#..#.......#..###.#...
##..#........#...###.#.#.......#####.###########.####..#...##..#.#..#.###.#...#....##########..###.........###...##################..#########...##....######......#..#########.#.#.#......##.##......
###.#.......#.#.###.###.##....######.....######....##..#...#.#..##...##.###..#...#..##.##.###...##........#.##..#....#.#############..#######.#........#########..#..#.#.#######...#...#.#####........
######.......#..#..###..#....##..####...####..#.#...##...#.....##....##.###..##.#...##..####..#####....###.#.........##############.#..########.....#.#######.#...#....#..#.####....#..########.....#.
#######.##...####...###.#.####...###..#.........#.###...#...#.#.........##..#.#..#...##.####..####.#......#..#.#....###############....#######.......###########......######.##.#.####.###.#####.#....
######........#.##.######....##...##...###.........###.......##......###...#.##..#..##.#.###.##.#..........#.#......#################.##.######........#########.............###...#.#####.#####...#..
#####......###.#...#####.#...#.#..###.####........##.##.#............#.....##....###.#....###..#...#.#.#..###.#......#############.##.....#....##..#############..........#..........#.##......###..#.
###.##.######.###....##.#..##.#....#..#####...#.........###........#.##..#.##..#....#######.##....#.#..#...#####.....##############.#.....#...#..##.####...#####...#.#...##......#..###.#..#.#####....
####.#....#....#.....##.....###..#...#.###......#.#.#.#####..............#....#.....#######.##.......#.###.######.#..#############.............#..#.###..#....#...#.##.####..#..#.###.#...#..#####..#.
.#.##...........#........#...........####.##....##.##..####..##......#........#...####.########......#.##..#.####.#...############....##........#.#...###.##......#.########...#..##..#.......#######.
......#......##.#.#....#...........#####..###..#.#.....#..#.####...........##......#...#.##..##...##.##.....#..###################.#.#......###.####..###.#######.#############...#.....#.....#.#..#..
....#.#......###.#.#..###....##.....##.##.########.....#........##.........#.#....#..####.#####.#.######.##.#..#.##.#############.#.#.......#.#..#...######.###################.....##....#...##......
##..##.#...##..#......##.....##..####.....#########...##...........#.#.#....#.....#...###..###.....#.#####.#.##.##...###########...#.#...#....#.#.#.....###.####################.#.#......#.#.#.##....
....#.......#.#.#..........##..###.....############.##.#.......#..#.###.......##.#.....#...###..#....................#.########..#.....#......#.#.....##.#..######################.......#..#####.##..
.....##.##..#.#..#.#.....#####.####...#.############....#.....#..#.######.##.##..##.###.##.#..###............#...#...##.#######.............#.####.##.#.#.#..##################..#..##.......##..#..#.
....#.####...#...#.##......#######.#.#...##########..#..........###.#.##.....#.##.......#.....#.#.#...........#..##..#.######......#..##....#.##....#....#.#######################.##..#....#.###..###
.#.....#...####....##.#..##########....#..########..###.##....#...#..###...##.##....#.#.##.....#.........###.....##..########.......##.#.....#.#.........####....################..........####.....##
....#.#..#..###...###.############......#.########..######.#...###.##.#...#....###.....###..............####..##....#..#######..#..#.#.....##........#.#.###....##################.#.....#..###.....##
............##.......#############......#.########.##########.###....#.........#.###..............#.#..####.#..#...###########......####.##.#............#####..################...........#####...###
.#..#..####..#.#####..############.#..##...######.#.######.#######..##.#.........#####.##.#....#..#.#..####.#.........##.#####.##.....#.##.######....#...###.#..##.############..#..#..#..#.#.#.....##
###...###....##################..#...#...#.#####.....#####..#.#####....###.....#######....###..###.#........#..........#######....#.....##...###.........#..#.#..#############...###..##.##....#...###
####..###.#.######################.###......####......####...#..#...##.###......###...####.##.#.#......................#######..##...#...##.####..#.#..###.....###############..#......#######...#.###
###.#.####..#####.############..##...##....##.##..#..###....##..#.....####....#....######...##..##......##.####...#.....#######..#######..##.#.#..###.........#############.##......##.###.......#.#..
.....####...#####################...#....########...####..###.##......####....#.....#.##....##.##..##.#####.#.###...##...#####.#.###.#......#.#######.#.......###########....#.#.#.##.#####....##.#...
.#.#.####....##############...#####...##########....##.#.###.###.##...####.....##.#...##...#.##################.##.......##########..........#.##.######.......###########......#####..##...#..#.##.#.
..##.####..#..###############.####....########.....##.##..##...#.#......###.##..##.#..####.#####################..#..##..######...####.....#......######.#..#.########..######..#####.....#.##..###.##
###..###..###.##########.#..#......#..#########....#####..........#....####..###.#...#...#..######################...#.#..####....######...#...##.#######...###.######.#.#..####.######....#####....##
...#.#######..###########.#.##..###..##########...#####.####....###.....##......##..#..........###################....#.....#....#.####.....#.##....##...#.####.##########.####.#######..#...#.....#.#
....#.#..######.#..###############....####.###...##########..##....#.##.......##...........###....########.#..######.#.#...##......##.##............##.....######.##############.#######..##.#........
......#..###......#.##...########.############...########.#.##..#...###............#...#####..........##.#.....######.#.....##..........#......#...###.##########..#############.#.###....#..#..#.....
........##....#.#....#...##################.##.#.########.........######...#..........#######........##.##..#..#####.........#....#.....###........###.###.....#....#########.#.####......###.#####..#
......#.##.....#....#.#..##########..######.##....########...#..#######.#.#.....#.##.#########............##.#..##.........######.#...#....#....##.##.#####....#.##########...#########.....##.#.##...
.#...###.###.##..#...#.#...#########...#..#####.#.########....#.########..##..#..#.#.#########.......#.#..##..#....##.##..######.###.#...#.##...###.....##....######.####.#.....###..#..#.#.....#..#..
......#.####......###.#.#.#########....##.##.##.#..#######...#.############.####.#.#########.##.....###..###.......#.##..##.#####.###.###...#.############...#######.#.#...#..##...##.#...#.####.#####
.##.#....###..........#...#...#####.....#..##..##..########..#.############..##############....#...######.###...#..####.#.#.####.####.#.#..##.##########.#..###.##......##...#...#.#.....###.#........
..##....#......#..###.....#.........#.......#####.##.#.#.#...########################.###..#..#.############....#.####.#.#..####.####.#.##################....######.#...........###..#.....###......#
.###......###...#.##...#......#.....##.#.....####.####..##..################.#######.#...###..###############.....###.......##.#######..################..#..#.#####...##.#.##....#...#.....#........#
...##......##..###.##.....#.......###...#...##...#####.###....########################..####.####...#########....#.##........#.###########..#########....#..##.####...#....##.#....#.#..#.....##...###
....###....#.#..##...##......#.##..#....###.###########.##....#######################...######.###....#########..###.........#..#########.#.#..######....#.#..####.#..##..#.#....#..#.#.#.....###..###
#.#..#.#..#...#..#...#.#........##.###.#..############.#.#.##.#######################....####...#..#..####.######......#.......#############...######....#....####...###..#.#......####...#.......####
##.###.##........###..#........###.#.###.#############..#..#########################..#...#.#.........###.#.#####.....##.#....###########.....#..####....#.....##.#####.#......#..#..#........########
.#........#....###.####......#.####.....#######################.################.###....#......#...#........#.#..#.#...##....##.###########..######.#...#....#......##.#..#..#....#.#.##...#...###..#.
..#...#.#..#.....####.#......######..#...#################..#.#.##..#########..####....#...#..............##....######.##..#..#..##.####.####.####..#.....#..##...#...#.....#....########...#.###..#..
#.....#..#.#..#..##..#...###############.###############.##..#..#..####..###..###.#.#...#...#...........#.......######..#....###..###..##.#.#.#.....#.....#.#.#.#...####....###..#######.#.#...##.....
#..#.#.#.#.....#..#.#...####.###########.####################.......#....#....#####...#......#......#....#.....########.......#..####..#.#..###...##..#.....#.......#.###.##############.......##...#.
###.....###...........#.######################################...#..............#.#..............#####.......#########.#.....#.#..###......####...##.###.####.......###..#..##############..#..###..#.
##....######..##.......#######################################..#....##.#...##..#.##............#######.........#######......###..#..#...#####..####..###.#.......#.#.#....##############.#..#..##....
#.#..#.###.#####......#.######.#################################....##...###....##..#..#...#..##.#######..........#####.#....#.###.#.....#####..####..####.......#.......##.##############.#####.#....
..#.#....##.###.....#.#.################################...###....#..##.#..#....##....#.#....##..#.######.#..#.###.##.##...#....#.......##.####..##....###..###.....##...#################.######.#...
.....##..#..####..##...###################...##########...###....###..#.##...#.#...######.........######.#..#..##.....##............#...#..#####.......###..#.........##.#..#.#.##########..#########.
#...####...#######.#.#..###################..##########..#####..###..##....#..###.###.####.......####.#..#.#######...##..#....#...##....#.#####........#.#..###..#...#.........#.########.###########.
##.#####..########......###################..########....####...##.#..##.....###..##..##........#####......#############.##.#...###.....#######.#.....###.#####.##.........#.....##..#..#..##########.
#.#.###....########.#....#################....########..#####.#.....#...#....####.##.##.#..#....#####....###############.###.....##...#..######.#.....#####.##..##........#.........#.#.....##########
..#.#.#....#..######.....###.#.#######..#...#.##########.####..#.......#.....#####...###.#.#...#.........#################......#.####.#########...##...###.#.#..........#.....##..#.......###.......#
##..#........######....#.....#########...#.##.######.######.#.#.............####.....########.#..#.#....##################...#............######...##.#.###..#..####....##......................#.#...
.....#.......#######.....#...###..#.....#.##...#####.##.##.#...#........#....###....########.#.##...##....#############..............#.#######..#.###..#.###.#...###..###......#.#......#..##.##.....#
.##.#........#######.........#.#..##..###..#...##########..#.#.....#....#..##.#.##...#########.###......#.#############........#..##.#####..#..#..#...######..####.#...#...###...#.......#.####......#
#####........#####..####.....#......###.###...######.#####..##.#.##.#............#...#########...##....#.#.##########.#..........#...######..#...##...#####....###.........##......#.....##.#.#...#.##
######.....######.#######.#...###...####..##.##.####..##......#..###.#..........#.###########....###.#.###.###########...............###.#........#.##.#.#.....##..#.#.##.#.#...........#...#..#......
######.#...#.#####.######.....###.#.##..#....#########...........................############.....#....###.###########....#........#..#.###.#...#....###..#....###.#..#####....#.##...##..#...##......
#####.#.#..#.#####.######.#.#.##.####..#.##....#.#####..##......#......##......#############...#..###......#############...#.....#.############......##....#..#..#....###.#....##..##....##.#####.....
###...#.##########.....######.....####..####.#.#..####...#.....#.....#...#.##...##########...##.#...#...##...##########......#......#############....#.##....#........##.#............#.....####.##...
.#...###########........#####.#.#####...##........#####.#.##.#....#####.#.#...#.#.#..######..##.##..........#.########.#..######...#############......###.#....##.....#..#...#.#..###....#...###..####
......####..###.........######.##..##..####.##....###.#....####..#...#...............###.##..####.#..##.....######..#......######...############..#...##.#....#.#........#.............#...#.#....####
..#....##..##.#.##....#...#####.........###..#..#.#####...###.##....#.......#.###..###.........#.#...##.....#....#.#.#....##....################.#....###....#...#...........#..#.#####......#...#.##.
.......#####......#..##########....#....#......#########..#...#.#..##..#...#..##....#.......##..#....#.####......#..##.......#.#.######################.#...#..##.#..##.........#.#####...#........###
......####.......#....#######....##...#..........#######...##......#.#.####.#..#............#......##.####...#..#......#.##...##..####################.....##.##..##.##.............#####...#...###.##
.#......##..#........#####.#.........#.#......#.########...#####...#...###..#...#......##....##.#...##.##..##..................##.#################.###..#..#..#...##.###..........######.##.##....###
#.#......#.#.......###########.#.....##....###########.....#######.###.#####...#.........#...#........########........#..#.....#.##################.#####..........#####.####.....########.###......##
####.###...#.#..###.##.#########..#..#.#.....#########....##################...###.........#.........########..#..#...##......#......##############.#####.......#########..#...#.#.######...#..#...###
####..###.#...#...##...#######....###..#....#############.##########.####.###..#####.#.....#...#....#####.##..#...#...#......#.##....##############..###........#.##..##.#.........######...##...#####
####...#.#.....#...#......#####.######.##.############.##.##############.....#..#####...#....#.......####.##....#.#........##.#..#....###.#######.............###.#..###...##.......###..#....#...#..#
####...##..............#######..########.#..#########.################...#..#.########..#....##...#######.##.....###.###..####.##....###...#####......#......#.....####.#.##.#.......##...#........#..
##.#..##.#...#..##..#......#....#########...############.#########.#.##..###..#..#..#.....#..#....#####..#..#....#.#.#...##.#.####...#...###.###...####...........#.#..#.....#......####...#....#.###.
.....#.#.##.#..#.###.......#...##################..#####.############.#....#....###.##.#...#..#.##########...#.........#..##..####..#.....#.##.....####..#........##....#...#....##.###...##.#########
..#.......#..####..............###########.#####...#########.########.......##..##....#...#.####.#######.............##....#...###.#...##...#####..####..##...#..........#...#..#.#..##...#.#..#######
#.#.#.......#..#......###..##.###########.#.####..#######......########.....##....#........#.#.##########....#..............#..#####....#.....#...#####.......#.......##..#..........#..#..###...#.###
####.#.#....###.............#####.###.#..#######....#.#..#...#########.....##........##.....##.#########.#....#.#.....#.##.#..#####......#...###....####........#........#.#....#..###.....#......####
...####.....####.#..........#######...#...##.#.###...#.###...#######.##....#............#......###.#####..#.#........###....#########..##.....##..#.#####.##..#..##.....#.#...#...###...#.#..#....#.#.
..##.##....###########..#...#######....##..#.######.#....##...#.#..####.........##...#.##....#...########......#....#.....##########.......#...#..##.#....############.#.#........####..#.....#.#.#...
###.#.#....###.#.######.##.#######.#.#.....#..######........###...###.#....##...#####.##..###....#####......#...##.###.....#########...##.######..#####.###.#########..#..#..#..#.#.#.....#.#.#....#..
##..##.#.#####...####.#...########.##.#.........####..#..#.###.......####...#...#####.....#......#####..#......#....#.....######..#.....#....####..#...###..####.######.........#####......#.#.....##.
##.....##.##...#...###....#########....#...##.#..##.###.#.#...##.....##.#........######...#..#..###.....#.#.........##..#.#######..###.###.######.##..####.###########.###.......###.#...#.....#.....#
#..#...####.....#.####..########.#.....###....#.####.##.....#.#..#..#..#...#.....######..####..###..###....#..#..#.##.############.#####...#######....##.#.##.#####...####...#....#..####.......#.##..
.......#.#.....########.##..##.#..#.####....########....##.......#........###...........####.....##.##.#..........##.....#.######.#####....######....###....#..##..##.####..#.....##.#########...##...
...##.....###.#.############.#.##..#####....#######.....#.....#..##....#.#.###....###....####...#.#.#.###....#....###...#.###########......#####.......##...#.#..##..##.#..#..#..#########.###.....#.#
...##...#.###################.##.#..#####..########..######..#........########.#.###...#.###............#...#...##.....###########.#.#.##..###...........#...................#...##..##########...##.#
#.##.#..######.################....##..##..#.#############...#...#......#########.......#####......#...##...##.#.##.#...###########.............#...###.#####.............#.#.#..#.....##.###.........
.####...#.###......###########......#.#.....#####...#.....##.####.#.....##########...#...#......#..###########..#..###...##...######..................######..#....#...#..#....#####...##.#...#....###
.#####..#####..##..##########...#.####.....#......####.#..##..####.#..############.#........#..#.#..#########.#..###....#.....#.####............#.#...#######...#..##.#..#...##...###....##.........#.
##..##########....###########.....####....#.#......#..#...#....#####...#.########...#.....###..####.#########....##...###......#######...........#....#####..###....##..#...#.###.##.#..##.#....#.#..#
##...#########....#..########...#...##.........#...#..#....##..####.......#...#.#.#...#.#....##.#############..........##.....###.###..#..........#..########.....##..#.#############..##.#..#....##..
###############.###..########..###..###.............####...#..#.#.##########.##.#...###.....####.#..###########........#.......######.........#..#..##########.....#..#.#..#..######....####.....#..#.
#.....############.########.#..############.##........#............#######.##.#....#.#.#.#..#..#..##########........#..##.....######..#.....#......#.#..######...##...##......####.#....####...#######
##......#################################...#.#....#..#...#.......############.......#...##...##.#..###.###.#..##................#......####.......##.#..######.#####.........#..#......###..##.#.####
##......##############..##...#.#########.#...........###..####....##############.##.....#####.########.....###....#.#.....#....#.#..........#.##..##....#########.####............#....###.#...#.#.#.#
###...#.##############..#....###.#########....#....#####...#..###..######.###...####....###.##.#######.......#....###..#...#.....#.........###.#..###......######..###.#...#.........#.######.#.##....
###..#..############......#...#...#####.#....#......###............######...#...#.#####..###....#######......#..........#.###.#.....#####.#..#.#......###...##.#..#####.##.#..#..........######.##....
......###############........##...####.....##....#.###.#..#.#.#....######.#...#...##.#.#....#..##.####..#...##........##.##.##......###..##.#..##....#####..###.#..#.#.#...###....#..#..#######.#.....
....#.####...######........##.###..###.#..###.....###.#....###......#####..#......###..#...#####.#.#.........##..#...##...####........###.#....###.##.###.#..#....#..###...#....#..###....#.#..##..###
....######..########......###.#.#...#.#...#....#..###....#........####.....#..##.......#.#..###..######.##..###...#.....#.#.......#.#...###....####..####.#.....##.###..#.##.#.#.#....#.#..####....###
#...#########.######.....#####.#.......#....#.....####.#....##.....#.......###..#.#...#......#..###########...##.#......####........#..####..##.##..##.#..#...##...###.#......##..#..###.#...##....###
....#######.#.###..#.......##....#..........###...####......##...#...##.....#........#....#..###########.#.#.....#.....#.####.#.........##.####.#.....#.#.#..###....#...#....######..###..######..#.##
#...#####..#....##..##......#..###.......#..#.#....##.#....##.##.#.#..##.#####................###########..#............######.#.##.#..#.#####.#..#............##.##.##......######.#.....######..####
...##.#.....................#..#####....#.....#.#............#.##....###.####.#....##.........#############....###...#.####.#.#..######..#.#######......#.....#######..#.#.########..#.....###########
#..###..#......#...............#.#..###....#...#.......#.#....###....###.#.###...#.#.#..###...############.#...#..####.####.....#######...#########..####.##....#####..#..##.#.########...######.....#
##..#..#...##.......##.........#.#..######.......#.#.#.####..###.#.#.###....#.............#...###########...#..###.####..#.#....#..####...#########..########..#######....##...##.######...######.#.##
#..#..#....##.......#...#.....###...#####.#.#.#....#######......##...####.#.........#.........###########.#.#.##.#.###.####.#.##..#.#..#..#.#.#.#....#########..#########......#########......#.#...#.
.#.##..#..#.#.....##...#....##..#...#####..##.....#########....##....######.#.......####........##########..#.......#..###......#....#####...####.##..########..#.######.....#.##.#######.#####...#...
.#####.....#.#.......###...###...#..####.#..#..#....#########.###...#######..###....###...##....###...#####........##........#..##..########..#########..#.#.#..########..........############...#..##
#####....##..####....####..............#.#.........###########..#.....######.##....#######.......#.#...##.#.........#...###..........#######...#.#####.#...###..#.##########...##################.##.#
.###.#######...###....#.#..#.#..#.#.....#.....#.#..###.########....#..#####..#####.#.##..#......##.........#......#.#.##..#.....##....#########.#.####..#...##..############..######.############.####
....#####.####...#........###..####.....#.......#.####..######.........#.##.#####..####....#..#####.....#.###.#...###..#.#####.##..#..#####..#..######...#...#..##.#########.....##.##...########..###
#########...###.#.......#....######.....##........##...##.####.#.........#.########..##...#.#.######.....#.#..#..##..##.#.##..##.#.#.#.#####.#....####..#...#.###..#######..#....#.#.#.###########..##
.#######.....#####....#...#..######.........#.....###...#.####.#.........#....#......#.#....#########..#.#.....###.........###.#.#.#.######.#..#..........###...#..#######.###...##..#############..##
.#########....#####..#.##...#######..#..#.....#.......#....#..##.#...........#.#.....##......########.......#.#.##..........###....######.#..#..##....##.##.####.########..#....###.#################.
#############..###...#...###.#######..##...#..#............#.......###........###.....##....##.######........##.#...#.###.#..#.......#######.####......#####.##..###....#.......##.#################..
#############.#..........#######.#####.....#.......##.##....#.....####........#.#....##....##..#####.......#####.###...##......##....######...#..#..#...###.####...##....###........##################
#############..##....#.#.###...#.#...#.#...........#.....#..#.#...####.........#...#######.######...#....#.....##.##.....##.##..##...######..#.....#...##..##.....###..#####........#.################
#############..#....#...##.###..##...####...#.....#.#...........#####.........##..############.#............#.#######.#..##......##########.............##..#..#.##.....#####......#.#################
##############......##.###...........#.##.....#..##..#.#.#.#..##.####.#..#..#......###########.##......##..#.###.###...###.#....##.####......#..#.#..####..##...#.....#..#####.......#################
##############..#.###.#####.....#.....#.....##.#...#..#...###...#######...#.........##########........#....#...###.#...###....#.#.#.###.#..#...#.#.###.##..######....#..######.###....################
###############.#####...#..#...#####.####..#..........##..#......#######.....###.#.#.#..####.#.#....##....######..#....###....#..##.##....#...#.#.##..#...######....#....#####..####..################
###############.######.#.#.########..####.....#..........#.......########...######...##....#..#.........######..##......##......................##.#..#.#..#####..##......#####.##......##############
###############..#########.###.####...###.#.#....#.......#.#.#.##.######...############......#.#..#......#####..#......###...####..............#.##.###...#######.##...#....####...#....##############
##############.######...#..########..#####..#...####..##..####.#########.....###.######..##...##..#####....#..##....#........#.##..#.........########.....#.##.......#.......##....#..################
.####################...###.##.##.##.#####..#...#..#..###.#########.###....###.#.######.......#.....#.........#..........#.#............#.....#.#####......##..#.##.###.....###..###...#..#..#########
#.############.#####...#.##......#########.#.....#.#.###############.####.......######.......#.....####...##...##.....#.##.....##...##...#.#.#...#####.....##.#......##.#...#...#....#........###.####
#.###########..###..###.#......##############...##..#..#.###############.......####.##.....##.######.##.#..#....###...##.#.....###....#...#.....###.###.....###........#####.......#.#........##.#....
#####.########..#######...#....#...#########...####...############...###..#..####.#...#..#.#.#########...##......#.#..#.###..#..##....#.....#.#.#..####..#....##.....#...#...........#.##....#.#......
.###...####.#.###...####......###..#...####.#.#.###.#.#############.###...##....#.......#...###.#..#..#....#.....#.....####.....####..##.##.#...#..#..#.##....##.###...........#...#....###....##...#.
####..####...#..##..##........##..#..........#.###.#..############.........###.............#..###.#.###.#...#..##.#....#.####..#.######.######.####.#....#.#.......#...#...#.#....###..##..#....#..#.#
..##..####...##.................#..............###....############...####.#.#......#......#.....####.####..#.#...........######..#...#..#######.#..#.##............#...........#.##.#..##.##.#..#.....
.#...#####...##...#...#...............#.....#.#.##.####..#########..#.#.##..#####.........#..#.##...##########.....##..#.######.#.....##########.#.......#.....#.......########.#.....#.###..###......
.##...####...#....##.........##.#####...#.....##...###.#.#########.#..###......###..#...###...........####..........#.##..####......#..#########.##............#.....#..####..###.......####..##....##

18 282 235 2 2
###.##.#####..#####.#...#.#####.##..##.###...#.#.###.##########.#.####.#..#####...###.#.#.##...#.#.#.....###..##.#.#.#.##.#.#.#.##.#.#..###....###########.#####..##########.#####..###.#....#.#..###.#..##.#..#.#...###..#.##.#....###.....###.####.#..##.##.#.#..#.#.##..####.#.##.##...
####.##.#..#...###.....#..##.#....#####..#..#####.##.#.#.#.##..#.#.#######.#...######.#..###...#.###.###..#.#..##.###.###.#.#..#.########.##..###.####..####.#....##..####.#....#..#####.###..####.#.##..##....#####...####..#.##.######..###...#....##.####.#.####.####..###.###.##..####
#########.#####..###.###....####.#.#..#.#.#.....#.#.......#..###..#.#...##...###.###..##..#.#.#.#####..####.##..#####..#..######..#.###..##.##.#.#.##.###.#..###.#..######.#.#.#.#.###.##.###.#..##...##..#.#.##.#.####..#.....#####.###.###.#...###.####..##.#.##...#.###.#..##...##...#.
..#..##.##.#.#...#...###.#.###.#.....##.###..#..####...#..#..#.#..##.#..####.####.##.#.#..###.#..#.##..####..#.#..#.##.#####.####.###.#.#..######...#.....#..###.#.######.##..##...####..#...#.####.##.###...#..#.########.########.#.#.##.###.###.###.########.###..#.##.#.....########..
####.#.##.#..########.###.....###.##..#####.##.#####.###....#...##########.#.....######.#..#####.##.###.##.#.##.#....#.##..#########.#....#.#.#####.#.#....##..#.########..##.#.#####.#####.###.#######.##..###########.###..##.##.##.#.#.####...#.....#.#.####.###..##.###.#.#..####.##..
##.#...#..##.#######.####.##########.######....##....##..####...#####.##.#..#..##...##.#...#.#####.###..#.#####.###..##..###.#..####.##...#.#..#.##.###.###...##.#..#.....#.#.##.#####.###.#..#..#########.#.########....####.#.###...##.####.#.##.#.#########.#.##.###..###..#.####..#...
###.#.#.###.......##..##.####..#...#.##.###..####....##...##..##..##.###.####.##.##.##...#..##...##..#.#.###.####...#.#.###...##.##.###.#.#...#...##.##.##..####.#.##..####.###.###.###.###.#...#....##.#.##.##.#....###.#.###..##....#...######.#...###.#.##.#####.##.##.##.#.###..##.#..
#..##..#..#...#.##.#.##..##.##.####..##.#.#.#.#.#########.#...#.#.#...###..###....####.####...##.##.#.###.#..###.#.#..##.####.#.###..########.##.#..##.##..########...#..#.#..#.#######.#..#.##....##..##.#..#####.####.#####.##.###.##..#.##.####.##.######..####.#.#..##.##..##.####.##.
.#######..#######..###.##.#.#.#########....##.###..#.##.###.#.#..#..##.####.######.#..###.#.##....#.##.##.#.#####..##..#########......#..##.#...##..##.##...#..####.#.##.##.##.#..#..#..###.#######.#...###.#.#.#..##..####..#..#.#.#.######..###...#.#...#.#...##..#####..#.#.###.#.#.#.#
#....####...######.#.#..####..#.##.#..#.#..#######..#..#.##..#..##.########..###..#####..#####.#.#..##.#.#.#######.#...####.##.##.#.#.#..#...####..####..##.#.#....#.##.##..#####.######..###..####.#..#.##.##.######.##.##.##..#####..#.#....##.###.####...#..##.####.##.#...##..#..####.
#.###..##.#......##..#.#######..#.##.#####.###.##.####.######.####.##..#.#.#.###.##.#....#...#.#.#.###..#..##..#...######..####.#.#######.#####.#..########....#####.##.########..#.##..#.#..#.#...#..##.#.#.##..#.#..###.###########.#####.####.###..######..#..##..#.#.#####.....######.
#..######.####.#.##.###.##.....####.####..#.##.#.##..#..###.##..#####.###..#.###...####..#######.#..###..##.##.#.##..#.#.#..###.########.##.#.....##.##.#####.#..#####.#..###..###..#.#.#.#...#.##.###..###.###.###.####...####...#.#####.#..##.####.##..############.#....##.##.#######..
.....##.##.##.###...#.#.####.#...######...#..#..#####.###..#.###..##.#..#.##..####.#..###..#####.##...#.####...#...###...###..#.#.###....#.#####..#..####....###.#..###.#.#..###.#..###.##.#.#.#.#..##.#..#.#.#....##..#..#...###.#.#.#.##.#.####.#..####.##.##.####..###....#.#..###.####
#####.#.#.##..#.#.#..#.#..##.##.###..######.##.###..#.#....##.##.##....#.###..#..##.#.##.##.#####.##########..#..##.#.#.######.##..####.##.##..#######.#.#.#...#..##.#...#####..#..#.#.##.#.#.#.##.#########..##.####..###.##.#.#.###.#...#.##.#....###.##.#####.#.#.##.#####..####.#####.
####..#..#..#.###.#.#.##..###.#.########.#####.##..#.####.##.#.##.######..#.#.#..####.#####..#.#.#####..#.###..###.....##..#...##..###....#.#..#.##.#....#...#..#.####.#####.###.##.##..#..##..#.#...#.###..###..##.#.#...#...##.#######.#....#####.#.###..############.##..#.###...###.#.
.#######.###...###..#....#.######.########.#.####.##..###.#...#..####.##...#..###.#..##.#......###......###..##########.##.####..#.#.##..#.##.####.#..#.#####.#######.##.#.##..#.....#..##...####.##.###..##.#.######....##.##.#.#########..##.####.##.#..###..#.####.#.#####..####..###.#
###.##...#.#####.#.#..#.###.##.#...####.#.#####.####....########.....###.##.###.#..#.###..###.##.#####.###.##...###.#..######.###.#.###..#.########.##.#..#..#..#.##.#.#.#.#..#.#########....#.###.########.#...####.##.#####.#..####.#..#.#####..#.####.#.#.####......#..###..#.#.###.###
....######..##.###.#.##..#..##..##..###.#..####..#########..#.#..####..#.#######.#.###...###.###.#.###..##...######.####.####.###...###.###.##..#...#.#.###..########..#####.#..#.#.##.##.####.####.#..#.#.#.###.#.###.###.##.##..##..##..########...#..#####.##..##...####.#..###.###.###
..#.##.#..####.##.#.##.#...#..#..#......##...##.#.#..#.##.#######.#.####.##..##..##.###...#####...###.###.######.###.#.##.##..#.##.##..#####.##.##.#.#.#.#######.####.####..###..###..##.####..####..##..#.#.###...##...####.##..###..##.#.####.#.#...#...####...#.#########.##..#.#.##.#.
.#.##.#.###.####.#..##.#.###.#.#...##.#####.###..####..##.##.#.#.###.#.#..##.......#.###....###.#.##.#......####....##.###...######....#...#...######...#.#.#####....###..#.#......######.#####.###########.##.##.####.#.#..#.######..#.#.##..#.#.#.....##.#.###.....#.#...#..########....
#.#.###.#..####...##.#..#..#.##.##########.#.##.#.####.#..###....#.###.....##.##.##.#####.#####...##.###..##....#.###...#####.###.####..##.#.###..##.#####.######..##.##....#.###.#...#.####...#..##.#.#.##...#.#..###.##.###..#.###..#.#.#.###.###.#.#.##.#######.##...##..###.#.###.##.#
.#.###.###.#...#..#.###.###.#..#########.#.###.###.#.##...###..##.#.#..##.#.#...###.##....#..###.##.###.####....###.#..###..#...#..##.#####.###.#...##.#####..####.##.###..#.###.##########...##.#.#####...####.#..###..#.##.#.###.###.#.##..###...#.###......###.#.#..##....########.#...
########.#.#.#.#.##.......#..#####.######.###.######.##.#..#.##..#######.#####.#.#.#..##..#.######.....###.###.#.###.####...####.#.###.###.#..#.#.#..##...##.....##....##..####.#.###.#..##.#####..###..####....#.##..#...#..##..##..#.#.#####.####.###..##..####...###.##.#####.#...###..
##.#.####..########..##.##.##.###..##########.##..###.####.#.#..###.####...######..#####..#####.##.#...#..####...#....###...#######..#.##.##.#####.#.#.####.#.....#...##.##.###.######.#..##.###.##.#.#.####.##.#.#.#.##.#.##....##.######.###.##.#...###.###.#..##.#.###.###.#...##..#..#
###.#.#.....##.##.#####....##..##.#.##.###.#.##.##.####.#..########.###..##..#..###.#######...#..#.#.#.#.#########...#..####.##.##.#.#.#.###.....##.#.#..#..#.##.####.#.##.#...#..###..##.##.#.#.########...####..###....##.....##..##.####.####.#####.#..#######.#.###.##.#.#######...##.
#.#.#.#.##.#.##.#.########.####...##.....####..###.#.##..#..###..#.#####.#..#.#.###.#....#####...####.##..#.##.##.#....##.##.#....#.#.#...###.###.##..#######.#.###...#.##.#..##.##....#.##########..#..##..###..##..##.##...##########.###.##.#..#..##...####..#############....##.##.#..
.###.#.#.####.###.#.###.###...#.###.#.#..###...###.##.####..##.#.#.##########...####.####.....#####.#.#..#.##.#.###...######.#.###.#..#.###.#####..#..#..###.#.###..#####...#..#..##.###....###.#..#.########.##.#.##.#######.#..###...###.###..#.###..#####...##.#.##...##..#.###...#####
.######....#.#..#.#.#####..#.#.##.###.#.#..##.####.#.####.###.#..###..##.#.#...##..##.####..#.....#.##.#.##.##..#.##.#.####.#..####.###.####..##.#..###.######.###..#..##.###...#...#####.##########.#....###.#.####..##.#.......###..#..#..#.####.#.#....##.#####.#.####.#..#.##.....#...
###..##.....##.#.#.#..#.###....#...##.#.###..####.#.#.###.##.####.########.#....##..#...#...#..#.###.#...####.#.#.##.###.#.#.##..##...#.###..#.##...#.##.#.#..##.###.##...###.#.##...#.##.##..#..#..##..##.###..#.#..###.#.##.########..###.###......####.#...#.##.#...##.#.####.####...#.
###.###.########..####.##.######.#.#..#..#..#.#..#.###.#########..#.##.#.##...#.#......##.########.#######..#...#...####.###..#####.###.####.....###..#...###.##.#.########.#.##.#####.##.##..###...###..#.##.#########....###...#####..###.#.###.##.##..##.############.#..##.#.##.#.###.
#####.#.##...##.##..#..#.###.###.#..#.###..##.#.##.####.##.....###.#.##.#.#.###.#.#.##..#.###.##.#.##.#.#...#..##...#.###.#.##.####.##.#...###.##..##..#.####..#.....####.######.##.####.#...#.#.##.#...#...#.#####.##.#.##.###.####.#..#..#####.###..#.##..##...#....##.###.###...##.##.#
##.######.##.#..##..##....#.#..#...######.#.#.#..##.########.#####.#####.####.##..#######..##.##.#.#.#.##..##.#######.###.##..###.##..####...##.#.###.#....#.####...#.####....#.###.###...#.#...#.#.#.####.#..#.#.####...#.####..#..###.###..###.###.#..#.#..####....###...##.####..#..###
###..#.#.###.###.###..#.#.##.#.#.##..###.##..###.####..#.###.#...#..###..#..#########.##.##.#####.#.#.#.#.#.##....#.###.###.#####.#...#..####.#..##.####.#.##.#####.#.##############.#..#..#.####.######..#..###..##........###........#####.####.#.#######....#######.#...##.####.####..#
#....#####.###.##...#.##.###.#.#.##.#############.##.#.#..#####.#.#..#.##.#.##.#..###..######.#..#.#..####..######..##.#..#..#....###..#...###.###..#.###.#....#####.#...######.####..########.##.###..#.#######..#.##..#.#.#.##.#..###..######.###..##..####..##.#.###.#.####.#.##.####..
##.#.#..#..################.######.##.#.#.#.#.#.#.#######.######.#.#.####.#####..######.#.#..#.#####.##..##.#..###.##.##.##.#####..#.#..##..##.######.#....#####.##.##.##.#.#...##......#.....#...###.#.######...###.#.#......###.##.###.##.#.###.##.###.#..##.#########.#.###.##..#####.#
..#.#####.########.####.###.#####...##.#.##.###..###.###.#.#.###...###..##.##.###.##..##.#.##.#.##.#.#####.###.##.#..#.###.##....##.##.....##...##..##...#.###..##...#.#....###....###..#..#####.#..###.#.####.#....#....##.##...##.####.####..########.##.##.###.#######.##....#..##.#.#.
####..#.#.#.####.....####..##.##.##....#.##..###..#.#...#####.####..#.##.###.#..#.######...#####...##...#.#####.#...##...#.####.#..#...#..#..##.#####.#.#.##..####...#..#..##..##.#....###.#...#.#.###########..########.#####..##..#.########.#...#######.#.##..##.##.###....#.#...####..
##.###.#.###.#..#.#..#.#...#####..########..#.#.###...###....#.##...#..###..#..##.#.#####.####.##...###...#....##.#......#####.##..##.####.###...####..##.###..##.###..#..#######......##.#.#...#.##.####.##########.#.##.##.##....#..#..#.######..########.#.#.##..#.#####.######.##.###.
#.####..##...#..#####.#.##...###.#.....########....###..###..##.#####..###.###.#..######.##..###.#.##.#...#.####.###.###############...##.#####..#.#.###.#...###..#.#.#.#.#####.#..#..##.#.##..############.#..######.####..#####.##.######.####.##.#.#..#...##.###.###..#.#.#####.##.#...
..######.##.#.#.#.#.#..#.#..###..###..#...##.#.###.##.#.###.#..####.##.#..#####.###.###..#####.###.#####.#.#..#....#..#...#.#########..#...#.....#.####.##.##.##..#..##..##..####.######.#####.####..#.#..##.#.###.#.....#########.....#####.##.##..####.########.###.#....########.#####.
.#.......##.##..#..##.####..####.#.##.#.#.#..###.#.##.####.##.########.##...##.#.##.###.####.##.#####..##########.#..###.##.###.###..#.#.###.###.##..####..#.###..#.##.####..###..####.###..##..###.###.##..#####.##.########.###.##..##.###...#....#.###..#.###.###..#####..##..##.#.#.#.
..###..##..#.###.##..###...###..#.###.##.#.##..#.##....#######.#.#.###.#.##..####.....##.#.#...###..###..####..#.#..##.######...###.###.###.######...##..###.####.#.#.....#######...#.#.#.##.#####...###....####.#.....#.##.#..##.#..###..#.#..#.###.#####..#######..###..#.####.#...#.##.
#####..#.####.###.#.#######..#.#####.#####......###..#.#...##.#.#.#####.###..###.#.##.###.#..##...#####..##.######.#..#.###.##.###.##..#####.##.##....#..#...####..#....#....#..#.#.##.#.#############..##########..#..##.###..######.######...##.#..#..####.##.######..#..##.##..#.####..
..###.#.###...####.#..####...#..##.#..#####.###..###..##.##.#..#....####..#######.###.##.##..##.#.########.#..##..#.##.#..########....###..##.#####.#.#####.#####.##.#.#.######.#########.##.##.#...#.#.##...##.#..##..#.####.#####..####.###....#..#..##..###.####.##...#######.####....#
##..###..#.#####.#####.####.#.#..####.#.####.#...#########.######.#.#.##.#..##..###.##.#..#.######.######.#####..##.#.####..#.##...##.###.....#.##...#.#..##..#..##...####..#.#.#.######.#.####....##.####.#.###.##.##.#...######..##....#####.####.###..#.##.#####.#.#####.####.###.####.
#.##..#.#...###..##.#.#..###..#.###..#...###.....#.##.###.#..######.#.####.###....####.####...###.#####....#.##.##.###..........#.#.##..##..#.#######.###.#.####..######..####....###..##..########.###.##..####....####.#..#...####.###.####...##..#.###...##.#..#..##.#.#####..#.#......
.....#...##..###..###.##.###.####..########.####..###..#..#.#..####..##....##.#....#.####...##.##..##.###.##..#.#.#.###..########.#.#.#####.######.#..#....#.##.#.###...####.#######.##..###.###.#..##.#####...###.####..##.#.#.##..####.##...##.#.#...###..#####.#####..##.#.##...#.##.#.
....##...##.#.........###....##..#..#.###..#.#.#..##..#.###.#.#.##.#.#####.#.##..##.##..#.#..#..####.#...#.####.#.#.##....###..#####..#.####.#.##..#..#.####.####..#####.###.#.##.###..#####.##.####.##..#.#.###.#.#.######..#..##.###..##.##.#.#.##....###....##.###..###.#..#...#######.
###....##.####.######.###.##.###..###.####.#.####.#.#..#######.#.#.###.####.#.#.#.###...#.#..#...###.####.####..######.#.#####..#.....#.##.....##.##.#.#......#...#....#..###.#.##.#.###.###.#.##.#.#....#..##.###.#.####.#.###.####...###########.##.####.#.#########.####..##.#.###.###.
##....#..#.##..##.####.#.....#####.#....#####.#.#.##..###.##.#.####..#..#.#..###...##.#..#.#####.#..##.##.##.#...####.###.######.#.#.##.#.#####.##.#.##.####...##.#####.#####.#....####..#...###.#.#..###.#...###.#.#.##...##..#...###..#..#....#####..#.##...##.#.##.#...#..#.#.#.....###
....##.#..###.#.####.###..#.#.#.#..##....#.#...############.###..##.##...#..#..#....#.##..####...#..##.#######.###.#####.#....#####..#.####..###..##.##...##.##.#...#...##......#.#..#...#..###.##.#..#.####.##.##..#.#....##..####...##.###.####.....#.#..######..#.#..#.##.#..#.#.##.##.
#.#..#.#.#.#.#...#.##.#..######.##########.#####...#.###.#####..#####.#.##.#.##.######.##....#......#######..####.#.#.#.##.#.#.##.#####.##..##.##..##.###.#..#..#.#.#.#...#.#####...##.##.....###.######.#.##.##..##.#..#.##...#....##.####.#.#..####.#.##...##.#.#.#.###.##.##.#.#...#..#
#.####..######.####..######..###.#..###...#.####.##...#####.#.##..#..##.##..######.#..#.###..#...#.##...####.####.######....####.##.####.......#..#####..#.########.##...#######.#..#.....###.#.#.#.#####.##.##..##.#.#..##...####.#####.#.####.##..#########..#.#...#.#####..#.#..#####.#
.#.###.##.#######.##.#.##.#########.##..########.####.#####..#..##..####..##..##..#..##.##..##...#...#.##.#.####..####...####.#......#.#######.###.###..#.##.##.####.###.###..#.##.#......#..###.#.#.###.##..#..#.##.######...##.###..#.##.##..#.###.###.#.#..#.####.#####....##..#..####.
####..##..##..#..#.#.##..##.##.#.#.#.####.#####.#..#..#####...##.#####.#.#######.###.###..#..###..####..#.##....##.#.##...#.#.##.#.##..#.####.##..#..#....#.###.###..#.##.####.##....#..#.#.###.######.######..##..#####.....#.##.###.#.....#.#.##.##..#....##.#.##..#.##..#..#.#.#.....#.
.#.##...#...###.##...#....###..#.#.##.##.###...#####..#.#######..##.##.##......#.#####.#..#######..#.####...##...#.###.###.##.###.#..###...#..##.#.##.#.##...##.#.##....#.#.#.###...##....###.#..#..###.####.#####.##..##..#...##...#....###.####.####...#.#...####.#...###....#..#.###.#.
#.#.############.####.#####.#..##.###.#..###.####...###.#.##.##.#.#..#.##.#.#..#.##.#.##..#.#.##.#.#...#.###.#.#..####.##....##.###.#.#####..#####.#.##.#...##.##.#...###...#.#.....##.###.###..###..#..#######...#.#..######.####..#.#########.#.#.#...########.#####.####.##...#####.#.#
#####.#.##..####..##.#...##.###..#.#######.#....#.#...#.#####.#.##..#.##.#..###..##..#.#.##...#.#...#..#.##.######.#######.#.#######....###.#.#.#..#.####..###.###.#..#####..#...##..#.##.#..#...########.##..#..#...#.#.####..##.....##..##.###.###...###.######.#..#.#..#......#########
.##.##.....###....###.#####...##...###.#.#..##.###..#..###.##.##.###..####.##.#.#.#.###..#####.#####..##...##.######.#####...###...##.###....##..###.#.##.######.##.#..###.##.....##.###.##.########.#####.#...###.#..##..#.##.##.###.#.#####..###...#....#..####..#.###.#.###.###.###..##
.##.##.#..#.#.....###.#######.##.#..####.#.#..####..###.#...#.##..#####.###..####.###.#.#.##....######.#.##.##....#.#.##....######..######.#.#..#.##.##.#.##.#####.###..#####.#...#..#.######.##.#.#.##.#####....###.#.#.....#.#.#.##..#####.#...##....#.#######.######.##...######.#.#...
.####.#..#.#..##.######.##..###########..###########.######.#####.#.#..##.#.#.##.##.##.#...###.########..##.##.#####.#.######.####..###..##.##..###.###.###..#.#.####....#.#.######..#.##....#####.#########..#.##...######..#.#...##.####..####...#.#....##.####.#.###..#.###..#.###..###
##.###..####...###.....#...#..####.#..#.#...####.#####.##.#######..###.#.#.####...#.######.##..#.######..#####..##.#.....#####..#.##.##.#..##.###...#.#####...##..##..######.#..###.#######.#######..#.#.###.###..#.###..##########.####.####.###...###.#####...#.##.####.#..##...#.####..
#.##.##..####.###.#..##..###.###.#.####.#.#.#.#.......#.#....########..#..###..##..##......###.#....#.##.#..#.##.##.#.#..##.#..#.######.....#.#.###..#..###.#######.##.############.##.##..#.###..##....##.#####.#.#.#.#..#.###..####.#....#..#..##.#.###.###.#.#...#.####....##.######...
###.####.#.##..###########.###..##.#.##.##.####..###...#.#.#...#####.###..##..#....###.##..#..########..#..##.######..####..#..##########..########.###..#.#.####...####.####.#.#.##....#####...##.#...#####..######.#..##.#.#.#.###.###.####.#...##..#.####.##.#...#.##.#.##.#..#.######.
############.#.....#.##.###.##..##.#...####...#....##.##.##..#.###..####.####..#.....###..#...##...##.#.###.####.#######.##.#.#..#.#..#.##.#.#.#######..####..#...#######..##.#..#..###.######.#.#####.##.#...##.##.###.#.####.####...####..#.##....##.#..#.#.###.#.##.##.###...#....####.
.####.#####...##...#.#####...#..####.#.#####.#.#...##..#####...#.####..###.##..#.#.#..##.#.#..##.#.#.###....####..#.....####.##..#.#..####..#..#..#..#.###.##.##...#..###..#.#..#.##.####.##.####.####....##.#...##.######.###.#...##.##.#.#....#.##.##.....##..#.##.#..###.#.###.####....
.###.#..######..##.###...###.#.#.##..#########.##.##.##.##...####....#.##########..#...#####.#..###..#######################.####..#..##..##.###...#....######..#.###.#..###..##..##.##.#.....##.####.#.#.####..######.#..###.##########.......#.##.####.##.#..#.#..###...#.##..####..###.
..##....####.#.#.##.###..###########.#..#..####.#.#.....##.##.##.....###.##..##..##.#.####.#..#..#.###.#.#.#.###.##..##..#...##.###....#.#.##..####.#.####..#.##...#.#.....#.#....#..##.###...#.#.##.##.#####.#####.#.##..#####.#.####.##.##...##.#####.##.##.##.#######.##.####..####....
##.#..####....#.##.####.#.##...#.#..#########.....#..#####.#.#.#.#.####..##..###.#.#....##.#..#.###.#####.#...###....########..#.##.###.#.#..#.#...##.#.#..#.##..###.###.###...#.#...##.##..##..##.####.#####.##.#...#.##.#.##.####.####.######.#.##.#.#..####.#...##.....#..######.#.###.
##.##.##...#.##.####.#..#.#####.##.####.#.#....##..##.###.#.#.#....##.#.#..#####.##.######.####..#.####.###.#.###..#.#...##.######..#......#.##.#.#####.###....###.########..###...##..#.##.....######.##.##..#..####..#.###...######.######.##############.###......##.###..##..##..#.###
##.#.#..##....####...#..#..#########..###.####.###.###.####..##..########.#.#####..########.##.##.####.#...#.######..#####.#......##....#...####.#.########..####.#.##.#.#####..#.#...#.....####.##..##.#.###.#..#..####..###.######.###...###.#####...##..##########..##.##.#######......
.#.#..##.####.###..#.#####.###...##.##.....##.#.#..#..###.#.##.##.####.#....#####.#.##.#####.#..#.########..#..##.#.#...#...##.##....############..##.....#...########.##.#####..#.###.#.##..#.#.#..#####...#.#.#####.#.###...#.#####.#####.##..##.#...##.#.#...##...#.####.##.#.###..####
########.#.###.#....####...#.##.#.##.##.#.#.###..#.#.#...##..###.##...#.#...###.#####.#.##..#.#.#..###....#.###.#######..#########.####.####.#.###.####...#...###.#.#...##.####.###.....##.##.##....###########.####...#...#..##.#.#######...##.#.####.###.##########..##.##...#.#.#..#...
....####..##.#..#..#...#.#.##.##.##.##..#.....#.##.#.####..##.##.#.##.####..#.##..####.##..##...###.##...#.##..##.###....###.#.###.####.##...#..##..#.#..###########..##..###############.##.##..#####...#####.##.#####..##.##.##.#...###.#.#######...#.####..#...######.#.###...###...###
##.##..#..####..#.###.####..#####.##.....###.#.#..##.##.......#.####.#..#.#####.#.#..###..#...#..##.#####.#######..#.#.##.###.#.#..####.##.####.###.###..###.....#....#.###.#.##...##.######.#####.##..#.###.#.#...#..##..#...#.#####..#.########.###..##.####.#.#.####..#..#####.##....##
#.###.##.####.#..#.#.##.#.#.###.##.#...#...##.#####.#.#.#..#####.###.#..###.#..###.#.###.#.##.##....#.###..#########.###.###.#.##..#.####.#...##...#...##.##...####.##.#...#.##..###.#.###...###..##..#.#####..#.#.##.##...#..#.#.#..#.#.#.#.##.##..#.#.......#..####.###.#.##...##.#.#.##
######.##..##.##.....###..#.###....#.#.##..#...#..####.#####..####..##...##..##.#.#.#.########...#.###..###..#.#..######...###..###.#.#...#####.#.##.#.###.#.##..###.##.#####.##.#..#.#.#.###.##..#.#.###....#..#.#.#.###.#.#..##.##.####.#.#####.####.#.###..#.#.#....############.##.#..
#.#.###.#.######.###.##.#....#.####.#..#.##.#.##...#.#########..#####.##..#.#.##....##.....####.#.####.##.##..##.###.##..###.#.#..#####.#########.#.#..#.#..######.#.###.####.######.#...###.##..##..#......####.#..####.....#...#...#.#####.#.#####..#.#.###.##.#...####.#.#.###.#...#..#
#.##.#.#.##...##.######..#.##..#..#..#..#.#####.##...#..###..####.##.##.#.####.....###..##.#.#.#####.###...##..#...###.####...##..####.##..#..###...######.....#####.#.####.#.##.#..##..#..#####.##..#.#.#..###..#..########.##....###..####...##..######.##..###.###.#####.#.###..###.##.
###.#.#.##..#...#...#######.##...###.#######..####..#..######.#..###.#.####..###.######.#..#.#..#....##..#..##..#.##..##.#..###.####..###..##.#.#.#####..#.#.#...###.######.##..#.#.##.#..#.##..##.###.#####.##.#####.#..#....#.####.#.#####..#..#.##.#.##..#.##....#..#...##.#..#####...#
.#.######.#...##...###....##...#####.###.##.#..###..######.##..#.#.######.....##############..####..####.###.#..#..#.####...##.#.##.#######.##.#######.##.#.#..#...##..##..#.#....#####..#####..##..###.####..#.#.#..#.#..#.#..#####.##.#####.#####.#.#.##......######..#.####.#....#...#.
....#...#####.#.####.###..#.######.#.#######.#####...#...###.#.###.#...##...####...#.#.#.##..#..##...#.#..#.#.#######..####.#.######.##....###.###.#....##.####.########.#.#.###.#...#..####.####.#.#.#.#.###.#.####.#.#.###..###.###..#....#.####.#####..#.#...#####...#.#####....#####..
#.###..##.....#.###.#######.#.######...#.#..####.##.###.#.#.#...###..#####.#.#...####..####..##.#......###....##..#.#......#.########.#.#....#.###.##..#.####..#..#.#.##...####.####.#...#######.###.###..##..#..###.###..#.######.....#..#.####..#.#.##.#.#...#######.######.##..#...##..
..##.##.####.#.##.##..###....######.##.##.#..#...###.#.#...#.######.###..##.#....#.#.###.###.#.#####.##.##..##..#.#.....##.####.##.#.##########.....######..##...###...#.###.#..#.##..##..##....######...##.##.####.#..###...####..#.#.########.......##..#.#.#####.##.....##..#..###.###.
..#######.#####...######.##.#####.###.##....##.####..###.####..########..#.###.#####...##.#.##.#..####..#####..#..#....#.#.#...####.#####.####.###.###..#..###....#######.#.###############.##.#.###.#.#..#...#.####..##..###..####.##..#.##.###.###.###..##..##..###..#..#...##.#...##.#.
#..##########.#####...#.#.#.#...####.###.##.#.#.#.####.#..###########.###...##..####.####.#....###.##.#.###...#.##.....#.#..#.##.######.#.##.####.##..###.########..#...##.##....#..#########.....######.#####.#....##.#####..##..##.##.#####.###.#.#.#.###.##.####.#####.#.###...#.##.#..
......########.#.##...##..#####.#########..#.#..#.####...####.###.#####.##...#..##..#.#.##..##.####.#..######.###.##.#.....#.#####.#.#######.#.#####..#.###.######..###############.##.#####.#.###....##.##..##.#..#.#.###..##########.#.##.####..####.###.###..##....########.##.##.##...
#...######..#.##.#####.###.##..#..#......#.####.###..#.##.###..#..#.#.#.##..##.##.#.######..##..#.##..###.#.#.#..##.#..#...#..#####..#...##..#..#.#..#..###.##..#.##.##.##.#.#.##..#.#########.##.##..#.##.#######...#.#..###..###....##.##.#..#..#.##.##.#.#####.##..####..##.######.###.
#.##..#....#.##.#..####..##.######.#.#.#####.####.####.#...#.#.#####.##..#.#.#..#.#.###..#############.####.#..#..#..###.#.#.##...###.##.#.####.#...#.#..###.#..##..######.#.##.####.#.##..#.#.##.###..###....##...###.#...###..##.#.####..#...##....###...######..#..###.###..#.##..####.
.#.....####.####.#.########..##.#..#######...#.##.######.##..#.#.....#.##.#.#..#....###.##..##.######..##.###..##...###..#.#.#.###..#.#.#..########.#.#....###.###.#..#...####..##..#..#####..#.#.###.###.####....#.....##.######.#.#.....######.##..#..##.#....#.##..########.##...#.#.#.
##.###.......#..######.######.....#####.#.#.#.#####.##.####....#..##.#.#######...######.##.#.######...##.###.#####.#..#...#####.#.#....###.#.##.##.#.####...##...###..#####.###.##.###...#####.#######.#..###.###.##.######.###...####.###..#..#.#####..###.##.#.#..#..####.###.##...###..
#..##.##.#..#..#.#.#....###.##...##.#.##.#.##.......#..#..###.#####..###...###.####..#...#..##...##.#..###.#.###.##....#.###....#.##.####..######.#.#.#.##.##.#.#..###..#..#.#.#.#######..##..#####..#.##.###..######......##.######.#.####.....#...#..#.###.#.#...####...#.#..####.#..#.#
#######.#.##..#...##.###..####.####.###..##.###.#.#.#.#...##..##..##...#.######.####.#..#..##...####.##....##..####.###.###.#.#..#...####.#.###.#############....####.#.#.#.###.#.##.#.######.####...##.##.###...##.####...#..#..#####.#.#.....###.###.##..###...##.#.#.#.##.####.##..###.
.##.##.######.#.###.##.###.#..###..###.#.......#####..#..#..##.#.###..#.#....####.#...#.#..#......##.#########.###.###.#..########.#..#.###.#.###.###..#.##.######.####.##..###..##.#..###.##.##..####....####..#.#.#####.##.#.##.##.#.#####.######..#.##.######.##.#.#######.#.###...#.#.
#.##..##.##..#.#.##.########....##.#.###.#.###.###..##..###.##.#.#.#.###.#.#####.#.#..###.#..#..##..#.#..#..##.###.####.##########.#...##..######.#######.####..##......#.##.##.###.###.####.#.#...##...#.....#.##....#.#.##.#..#..#..#.##..#.#..##.#####.##...##.###.##..#.#..###...####.
.##..#...##.#..##....#.####.##.####.####..####.##..##...##.#.#.#.#.##.#..###.#.##.#.###.#...###..##.#....###.####..#.#...##...###...#..#..#.##.#..##.###.#...#####.#.#.###.##.####...######.###.#.#.#.###.##..#...#####.#.#.##.#...####.###...###.#.#.##.###.#..###..#.#.###.#.###..#.###.
#.######.###..##.####...#.##.....#.###...##..#.#......#.##..###.####.#####..#.#####....####.####.###...####...#..#.#...######..##...#.#...#####.##.#.....#.##.##.##.#.########.#####..######....###...##.#.#######.####.#....###.#.##.#..##.#..#.##....#.#.#####....#..##.##..########.##.
.##..##...##..##.##.#.###.##.###.#..#.##..########.##.##..##..##.##.##.#..##..########.#.##...#....##.###.###.####...####.##.##..#....##.#.#..####.##.#.###.#######.#.###.##.#.#.##.#.#.#.##.#.#####..##..###.##.#.#.#..#.#.....###################...###.##.#.###..###.##..###.#.....####
##....####.##.###..####.#.#.###..#...###.#.##...####.#.###.######.#.####...#.###..#.###.#..#..###.####...#.#..###.#..#.#.##.#.###..#.#.#.#..#.##..##########.##.#.######..#..##.###.###...####..#.###########.###...###.####...##..#####.##...#...#..#.###########.#####.##.#####.##.#.#.#
##.###...#.##..#.######.#.#..####.#..###..#.##.....###.#.##.#..##.###..#..#.#.######.####.##..###.###.###.######..#...#.####.####.##..##..#.###.####..######..######.##...##.#.......#....####..##.....##.#.#.#.###..##..#.#####..##...##.###..##.##.#.#..#..#.###.#.#.....#.####.#####.##
.##.#.#..#..###.#.#####.#......###....#.#.#.#.#.###.....#...#.##....###.#.####..####...#.##..######.###....#..##...#.##.##.#####.###.#..##...##...#..##.#.####..#.#.####...##########..#####...##...#..#.#.#.#.#.#..####...##.##..####..########....##..#.....##.##..###..####..###.######
.###.#.#.#...#..#..#.###......#..###..#..#..##.#.#.#..##.#..#####...##...#####.#####..#####...##.#...#..###..#.#.#####..##.###...##.####..#####..##...#.######..####.##.###.#.....###########.##.##.#.#..####.##.#.####...#.....#..#.###..#..#######.##....##.##.##########.####.####..#.#
.#.###.#.###.#.##..#..#.###.#.##.#...####.####.#.#..###.###.#.####.##..##.#..#.#..##.###..#.#######...##..##.###..#.##.##############..#.#.##....#.####...#....#.#.##...#....#..#.#.#.#.#.##.#..#...#.#.##.#.##.#..#.##.#.#########...#....##....##...##.##...##.###.######..##.#..###...#
##..###.####....#.#...##.#.#.#.###.#.#.#.#.#####.#..###.##.#...#.#####.#..###.#..#.#.#....##.#####....######.##.##.#.#####.##.#..###.###..##.#...####.##..###..###.##.###..#..##..####....###..####.###.#####.######.###..#..##.##...##..#.####..#..#.##..#####.#.##.####..#.#.#....##..##
.#.#.#..####..####.#..###.######.#.#...#.#####.#...#.#.#..###.#.....##..######.##.#.###..######....#.#....##..#####.#####.##.#####.#.#...####...####.#.#.####.#.###.#..#.#.#.#..#.##.#.#.##.#..##.#########....#..###.#..#.#.####....#####.#....##.###..#.#.####.##.#..#.##...###.##..#.#.
#....##.######.###.#..####..#...#...###.###.#..###.####.####..#...#.##.###.##.###..##...#..######...########.#.#.###..###.#..#.#.#.#.....##..#.##.##...###....#..#####..##..#...#####.##.#.##.##..#.#.#..#...#.#...##.###..#####..#.#.##...#....#.####.##.###.##.#.#########....#######...
#.#####.##..#..########....##.###.#.....###.##..#..#..#..#..##.###.#.###.##...########...#.#.#####...###..#######...###.####..#####.###.##..######.#..#.#.###....#..##.##.##.####.#..#.###..#.#.#.#.#.##.######..##..###.###.#.###.#.#.#.####...###...##.###..##.#.##....#.###.####.#.###.
.#####.##.##.####.###.....##.###..#.#####.###..######.##.####.###.##.##.##..###..##...####...####...##.##..##..###.##..##.#####.####....#.#####..#####.#.####.###.######.######.####.######..####.#.###..#.#####.##.#.###.#..####.#..#..###....#.#.##..##......##.#.#.##..#.###.#.##...#..
##.#.#####.##..#.#...###.#####.#.#.#...#####..#.###.#.##....#.##.#.######.#.#.######.###...##.##..#.........###########.##.##.#####.#.##.#.##.#.#.##.#.#..#####.##.#.####..#.##.#...#...#....#..##.###..#..###.###.###.....###..####.#####..###...#.##..##.#..########...###.#.###....#.#.
..####.#..##.###.#..#.####.######.###...####.#.##.#.#####...#..###..######.#.#####.####.#...##..#...#.#.#####.#####....#.####.#.##....##.##.#.....##.####.....#####.#.###..#.#..###.#.####.##.###.#.#..###.#...#######.##.##.#...######.#..#..##.###.########.##..#..#.#######.#.##.###...
.##.####......###.##########..###....#.#.#.###.####.#..###...##..##...####..#..#..#.#..#######..##..###..##.##.####...#....######.#.#.###...#.....##.###..#####.###.##...##.##..###.##.###.####...###.#..###..##.##.#.#...#.#..###.#.###..##..##.#..######.####..#.####....#.####.######..
.###...#.#.######..##...####..##.#####.##.#.....#.######.#..####.#######..##.#.###.#.##...#..#####.###.###.#######...#####.####.#.###.#..####.#..#....#......####.#.#.#..##.#..##...#..##.#.#.....###...###..###...#.#######.#######..##..#.##......#########.##.####.####..####..######..
..###.###...###.##....#.###.#.##..#.####.#......##########..###.#####..#..##...####..####.######...#.#.###.#.##.######.#.##.#....#.##..###..#.####....##...#.##.###.###.........#..#.#.####.#.#..###.####...##...####..###############.#.#.....##.##..#.#..##.#######..#.#.####..##...###.
.######.#..#..##....########.#.##.#.##.###.#.##..##..#.#.#.#####.#...##.#.#.####.##..#..##.###..#.####.##.##...##.#..##.#.###.#..#.....##..##..###.##..####..##...####..#######.#..#.###...##.#.#####.####...###..#..#####..#.#..#....##..##.#.##..##.##.###...###.##.#####.#.###.#.#.#.#.
....######.####.###.#.###..#####....#...#...#..##.##..#..#.#####..##.####.##.#.######.#..##.#...##.##.##..#.##..###.##.#.##.#######.#.#...#.#..###.######.####....######.####.##...#####...#..###.#.###.###..##.##..##.#######.#..###....###.###.#.#..#.#...##.##..#..#####.##.#.######.#.
#..##....##..####.####....#####.##.#.#.#..##.##...##...#..##.###.#.##..####.#####.#########..#....##.##.####.###..#..#...#..####.##...#.##.#..#.#.####.####..##.###.##....#.####..#....#......##....###########..###.##########......#.######..####.##.#.###..##.#.#.#####.###..######.#.#
#..####..#.##.#.#.##......####.#...#####.##.#.#########.#.#.#.####..####.##.#...##..###.#..#######.#####..#.#.##..##...##.##....#.##.#.#..#####...##.#####.###...#.###...##..####.#.#.#.###.#..####.#####.#...#.#...#..###.#.#####..##.####.###.##..#..#.#..#..##.#.##...#####.####.#.....
....#.##.##..######.#...###..#.....#####.#.#.#.######.###..#####..##...#..#.###....##.#...#...##########.#.##....#.#..##.#....###.#..#...#..#.#..#..##..###..####..#..####.##.###....######.##.####.#...#...#.#######...##.#..####.##.###......#.#....###.####.#######.####.#.##.#.##.###.
.###..#..###..#.#.##.##.##.##..#.####..#..###.##.......##...##.###.########.##.......##.##...##..##.##...###.#.##.###....##..#.#.##..###.#..#.####..##.##.#######.#######.#.##..#....###.#.#.#.######.#.###.###..##.##.###.#..###.#..#.##..#..#..#.#..####...####...##.##.##.#...#.#######
#####.###.###..##..###.###...#....#..###..###....###.#.####.####...#.#####..#######..#####..###.#.######.#####.##..#....###.....###.##..#...##....##..#...#####...##.###.....###.##.###.#..#.#####.####.#######.#.######.##..#.#.#..###.##..##.##..##.##....###.#.###.##.#..#.#..#.#...##.
..##.#..####..###....####.....##.##.##.######..####...#.####.#..##.#.#..#..#.#######.###.###..###.#####.#..##.#.#....##.#.###.#..###...###.#.###.#...#.##.####.#.#.#.##.####.####.#..##...#####..#########..####.#####...#.##.#.#......#####..#..#.##.##.###..###.##.#...##.#######.##.###
###..##.###.###.###.....##.##...########.#########....####.#######.#..###..##...#.##.#.#######...####.#..#######.###.####..##.##.....#####..#..##.##.###..#.#.##.####.##.#.###.###.#....#..##.#.#....#..##..#.#.##.####.###########...#.##.##...#..###.##..##...###.##.#.##.###.#.#######.
..##.######..#.##....####.##.##..#####..####.#.#.#.#.####..###..#########..###.###..##..######.##.####.###.#.###.##.######.#..####...#.#.#####..###.#.##.##..##.#####...##...#.##.##....##..#.#.####.#...###..##.###.#..#..###..#..#..###.######.#.#...#.##...##.#.####.#####.#.##..###...
####..#.#....##.##.#...###....#.#.######.#.#####...#.###......#####...#.######.#.#########.#.####.###########..#.####.#..####.#.#.#######.#.#####.#.#########.#..##.####.#.####.###.###.##.#..#.#.##.###.############.#..###########..#####.####.###.#####..#.##.###.#...#.#......#.##.#.#
##..###.#..##.##..#..######.####.....###.###.##..###.###....#.##.#.##..####.##.#.##.###.#######.#.##.##...##.##.######.##.#.####..#####.#######..###..#.###..#.##.##.#..##.####.#.#..####.##.####....#..####..#.######.#...#.##.#.#.##..##..#..#.##.#####.###.####..#.#.#...#.#..#.###.#..
#..#.###.###.##.##.##.##.....##.#...######.##..#..######.##.#.#####.#..#.....#....#...#.##.#.#.##########.##.###.###.#.#####..##.#.####.###.##.##.##.##.#.#.#.#.#######.###.##.#.###....##.###..##.#.###..###.#.#.#.#.#.###.########.#####.######.##..####..##..#.#.#.##..##.##..###..###.
###.#####.#.#..#.#.#######.#######..##.######.#.#.#######.#####.#.#.#..#.#..#####....#.##.#.##.#.#..###########.##..##..#.#.##..###..##.##.####.##..########.#..#..###..##.#.####..#..###.#.########.#.##.##..###..#####.##.#.##.#....#.###.#.####.##.##..########..##.###.###..######.##.
##.######.#.#...#..####.##.#####.#.##.##.....##.#...#######...##.#.####.###..####.#....#####..###..##...###..#..##.#.##########...##..###.####..#.####...###.####.#.#...#.#####.#.##.#.##.###.#######.#.##########.###..##.#..##..####.#.#.#.#.###########..##.....#..##..##.#..##.##..###
#.#..##..#####....#.#####.###.#..#.##..##.####.#####.#..#.####.######.##.#####..#.###.##..#.####.###.#######.#.##.###.#.##.#..#####.##.#########..##..###..##..######.#.#.#####...#.#.##...#..####.####.#.....##.#.##.#####...#..#..##.##.##.####.##...##.#..#.#...#...#.....#.##.##.####.
###..#.####..##.#####....##.#######.######.#..#..#.###.#.######..#.##..#.##.#.###.#.##.##.###.#.###..#######.##..####.#.###...#####.#.##.####.##.#.....#...#########..###..##..###...##.#..#...#.#.#..#.#######..##..##.##.....###..#.#.#..#.########.####.#####....#.#.###.#.#..#.#####..
.##..##....##..###.#.#####.#.##.##.####....#.######.#.#..##.####..#.#.#.###.##.....##.#.#.######.#.####.....#.##..##.#.##.######..#.###.#####..#..#..#.#.##.###.#..#..##..#.#.#.#.#####.#.#.#########....####..####..##..#.###.##..###.###..#.######.####.#.######.#..#..#.##.#.##.##.#...
..##..#..###.##.#.####..##.#######....##..##..####.##..#..###..#.##.#.#####.###.###..##..##..#.#..#.#.######.###.#..###....#..##..###.##.#.#....###.##.#.#.##...####...#.#..#.#......#..####..##..#.####...###...####...####.########...##...##.#####..##.#######..#####..#####..#.#....#.
.##.####..#.##..#.##..######..#.#.#.##.###..#######.####.###.#....######.###.#..##.##..#.#.#.######.#####..####.###...####..##.##.###########...#..######.#....#.##..######..##.....#..#...##..##..#####.######.##.#..##.#...#.#.#.##..#.##..###.###.##.#.#####...##.####.##.######..##...
###..#.#..##.#######.#.##.#...#..#....##.###......###..##.#.###...#.#.###..#..#.#..##.#.####..###.###.######.###.#####.##..##.#.####.#.###..##..##.#######.##.##.#######..#..##....#.##.###..##.###.#.#.#..##.#.###.#.#...######.####.#####..####....###.#.########..##.##..#####.###.###.
.##..####.#.###..#.#.#.#....##...##.#..##.#..#.####..#####.##.##.#..##.###.#..######.#..#...#.#...#...######...#####.......#####.###...###.##.###..#.##.####..#..##.....#..#.#..#.#.#.#.###.#####.###..##..####.#.#...###.##.#####...###.#.####.#####...###..##..##.##.###.##....##..#####
##...####..###...###.#..###.#.#.####..#.##.#.#..######.#####..#######...##.##.##.##..##.##.###..#######....#..#....##.##.##########...###...####.######..####.######....##...###.##.#...##.########.###.###########.....#..#####..#.###...###.#.##.#####...#.##.##.#.##.#.#.############.#
.#.#....#...#...###..#..##.#..##...#.#..#...###.#.##########.#.#.###.#.#..###..####.#.#..###..#..########.######..###..#.##.#...##.##..#.##.#####.#...##.#...#.##..#..##..####.#.#..#......###.##.##..##.#.#.#.##########.###.###...#####.#.#####..#######..#####.##.##..##.#.#.#.##.####.
##.#.#.#.####.####.#..##.#####...#####.#..######.###.###.#..###...##.....##.####.###.######..#..#..###.#########..#####....#.##.#.#...###.#..##########...########.##.##.#.###.#..#.#.########.#.#...###..#####.#.#.#.###..#..####.########...#.....##.##.###...#.###.###..##..#.##..####.
.#.##....###.###.#.#.#####..#.##..#..#.###.###..####.###..##.#.######.#..######..##...##....###...#.#.##.#.##..###.#.#.###.##.##.#.##..#..#.##..##.#....##..####.##.#.#.#######.##..##..###.###..##..###.#.###..#..#####...##...##...#.#.#...##.##..##...#...#####..#..###..#...##.####.#.
##.##.####.#..#.##.#....#.#.########..##..#######.#.#.##.###.########.##..#.##.##..#####.#.#.#.###.#.####.####....#.#.##..#.#.##.#######..####..#.###.###.###.#####..##.####..#.#.#.#.#.#..#################.####.###..##..###.###..#.##...#######.#..####.###.#.#.##.#..#.#####..#.#.#.#.
###.##...#.####.#######..##.##.#....#####..#.#####.######.##.###..#.#.#.....#.###...#..###.#.########.##.##.##....##.##...##..###..##.#...##########.##..###.#...#.##.##..##########..####..#######..........#.#.####.#.#..#.#########.#.###.#######..####.#.##.#..#####.#.##..#...#.###..
#..#############.##...#.#.##.##.#.###....#.#.########.###.#....#.####.###..#.....####.#..###....###..#.######...#####....#..##.#####.####.#.#...#..#..#.##...##...##.#...#.##.#..#...#.#..#...##.##.#.##..###..#.########.##..#....#..####..###..#.##.#.##.#.###...##.#..##.##.###.#.####.
.##.#.#.....###...#.#.####..##..##..##.#.#####..###.######.######.#######.##..##.##.#.###..##.##...#..##.#...#....##.#.#.##.##..#..###.##..##..##.####.###.##...######.###..######....#...#####.##..#.#...#..#####.#..#.##.#..#.##...#######..##....#..#.#...##..###..####.##..######...##
#####.#.#.#.#...####.#..#.#############.#..#.#..#.#.###.#..#...###..###.#.#######.#######.#####.######.###...###..#..###.####.##...##.###......#....#.######.###.#....#...#..##..#.##.#.###....#####.#...#...#.###....###....####.#..####.###..#.#.#.#####.##.#.#.#..#..######..#....#..#.
#..###.########.##...##....###.##.#..#..#.###.##..###.#.####.#.######.##.######.##.####.#####....#####.#....##.#.######....#####...##.###.##..#...##.###.#####.##.#.###.####.##..###.##.#.#.#.#####.##.#.####.##.#######..#.#.##.##.###.##..#...#..####.#..###..###.##..#.#.##.....#..##.#
....#####.......#########..##..##.#.#.####..#.##.#..#########..#...##.###.###..##.##..#.....####..###..#.##....#.###.#.........###.###.###....###.#.##.#####..#.####.#.##...####.#..###...######..####.#....#....####..#..#..#....#.##.###.####.##...#...###.###..#..#############...#...#
#.###..##...##.#####.#.##....##..####.#..#.#####.####....#..###.#####.#######.##.###.##..#.#####.##.#..######.#.#..##.#..####.#.#..#####..####...#..##..##.#..##.##.##..#...#.#.###...##...##..#####...##.#.##.###...##.####...###.#..#####..###...##.##.######....##.#.##.#.###.#.#..###.
###...#.#.#######...#.#####.##..##########.###########.####.######.#....##.#.##.#######.#.####..#########.###.##.##.#.##.#####.#.#########..#.....######.####.#.###..####.#..#..####.####..#..#####.####.#####.#..##.###.#..##..#..#.#.####..#####.#.##.###.###.###.###.##.####.#####.##..
##.#####.#.#..####.#.##.#.#.##.##.#.#...###.###.#.#######.#.#.##.###.##..####.######.#.#.####.#####.#.#########.####.#.######...######..##.##...####.###.##.##..#####..####.#.#####.#.####.########...#.####..#..####.##..#.####.##.#..#.#####.#####..##########.#.#.##....#.#.##..###.###
#...##.#.#...#..######..#####..##...#.##.#.###..#.##...#.##..##.#.###.#...#..#####..###.####..#..###....###.##.#######.#..#..#.#####..#....########..#####..###.....#######.##.##.#.##.....##...###.#..#..##..###.#.##.#.####.#.######.####.###.#######.##.###..#..####..#..###...#####.##
.##.#...#.#.#####.#.#####.#.####....#########.#.#..######.........#.#.####..##.####.#.##..##...###...#########..#..##.#.#######.#..####..#.#.###.##.###..###....###......#...##...##..##..#..######.#.########.#.##.##.#..#.##...#.#.############...######.#####.##.#...###########.#.#.#.
##.#.#.##.#####.####.#.#.#####.###.##.#..###.#.#######....####.######.#...##..##.##.###..#.####.###.#.######.####.#.##.#######.###...#.#..##.#.#######.#..#.....###.###.#####.###.###.###.##.###.##.##.####.#.######.##.##.#########.##..###.###.#####..##..###.##.###.###.#.####.##.#....
#....#.######.#####....###.#.##.##..##.#######.#.#....#..#..#.#....###.#####..######..###...#.####..###...#.....##...##.#.###....####.#######...#######.###.##...#..##...####.#####.#..#..#.#.#..##....#.###.###.###.#.#...##..#..#.###.###.#########.....#..#.########...#....###.###.##.
###..#.########.###.#.###.##.#####.####.###..#.######...###.########.##.#..####.##.###..#..#######.###..#.#.#......#.##.#.#..#.#..####..#.#.####..##.###...##..####.#.##..######.#....#.###.####.####.##.##.#.#####.##.####..#.#.#.#..#######.##..#.#..###...##.#.#.#..##.######.###.##.##
#.#.#.###.#.##.###.######.#.......#.#.###.##.###.#..##.#..#########....#..####.############.#######.##.##......######.###.##.##...#.#####.##..#.###..##.###.#.########.###.#.#####....#.##.#...##....#.###.########..#####.##..##.#.#.######.#.##.###..########..##.####..#.###.##..###...
#...#####.###.#...####...####.##############....#..#.#..#.#.##..##.#.###.#.#..##....#.#####.##..##.##...###..####.#.##...#..#...##..######....####.##.#...#.#.###....##.##...##..#.#.##...###..#.########.###.#.##.#.....##.###.#..#..##.#.#.####.####.########.##.###.###.######.######.#
#######.#..###.#.##.##.###...###......####..#..#.#.####..###.###.#.##.###.#.#..#.##.##..##..###.##.#.##.###.##.##.#.#######.#.###.##.###########...#..#.###.###.#....####...##.#.##..###...#.#.#####.#...###.##.#.#..##.#.###.####.#...##.#.##.######.....#.....#......##########.#######.
#.######.##......#.....#...#....##..#.##.....########..#...#..##.#..###...#.#.###.#####.#.####..#.##..##.##.##.####..###.##.#..#####.#.#####.##...#..###...#..##.####...##..########.....#.##.#.#.#.#..#.##..#.#.####.#.#...##.....####.#.#.#.#.#...##.##..##.#.###...####.###.###.####.##
####.#...##...###..###.#..#####.###.###.#.#...##.#.#.#.####..#..##.###.#.#...##.#.#...#.##.###..##########.#.##.#.##..#.###.########.##...#....######.##.#.####.#...##..##.##.####....##.#####.#####.##.#..#.#.#..###.#.#....#####....##.###.#..######.##.#....###.###.#.###.##.########.#
###.#.##....########.#...##......####.##########....#.#######.###.#.###.#.#..#.#.#.#...############...####....#.###.#...####.##..#.#.##...#..#..#.#.####.####.#.#.###...##..##.###.###....#.#.###.#.##.###.#.#.###.#######.##.##..##..#.####...#.###..####.#..##..##.#.##.#..#######.##...
##.###.#..##########.#...#...#.####.#..#########.#.#.....#..##..##.####..##.#..####..##########...####..##.##.#.##...####.#######.#.#..#.#.#....#####.##..####..##......#.#.##...##.##..##.#.#######..##.###.######..##...##.##.###....#..#####.#....##.######.#.##...#.#.#.###.####.##.##
###..##.#######.##.####.#####.#........#..##.##.####.##.####.##.#..#.#..###.#..##.##.#####....####.#.##..#####.#.######.#....####.#.##...##.###.#..#.##....##....###..#####.#.....#.##.#.####...#.#.##.####.#.#.#.##...##.##....#.#.##.#..##..#.#....##...##....########.#.###..##..##.#.#
.####.#####.#.##..##...##..#.####..###.###...##.##..#.#...#..####.#..#.##.####.##.#.###.#.####.###.#...##.#.##.#.###.##########.##..##.####.#...##..#..#..#.#...#######..#...#.#.#..####...###.#####...#.#...#..#....##...##.##.###....##.#..##.#..#####....###...#.#..#.#....####...####.
#####.##.####..####..##.##..######.#..###.####..#.###..##.##.####..####..###.#.###.###.##..###....####...#.######.##....##########.#...###..###.#.########.#...####.#.#.##.#..#.#.####.####.##.###....####..#...#..#####..###...####...###########.#...##..#..####.#..#..#####...#..#.#.#.
.....#######....###..######.#....###.##....####.#####..#######..#..#####..##..##.###.#########..####.###.#.#...####.#.#.#######.#.######...#..#.########.#####.####.##....#...#.#.##.###.#####...###.#...##..#..######.##.#####.#.#####.#..#####...#.###.###.###.#######..#....##.#.###..#
.#...#.###..############.#.##.###.#...###.###......##..##...#.##.######..#...##...#.##..####..#..#.#.#.####.####..####..#.###.#..#####.##..##.#.##.#.###.###.#.#.###..##.##.####..##...##.##...####..##.##.#.####.#.####.###......###..#...#.####.#..###.###..#...##..######.##.####.##...
##....###..###.#####...##.#.#.....##.#..##..######.##.###.###....#####..##.###.######...#.##..####.####.#......############..##.###...#...###.#.#.##...#.##..##...##..###.#.#.#..######......###.##.#.###..#..##.#.#####..#.#.###########..#####..#.####...#.##..#.#.#####.######.#.##..#.
.#..###.###..#.#.###.##.#.####...#.######..#.#.#####.#.#...####...###..#.#..####.#.#....##...#.#.#####..##.#.#.#######..#.###.######.#.##..###..##.#.#..#...#.#.....###.#.#.##.....#########.###.#####.##....#...#.#####..##.##..#..###.##.#.....#.##.#.##.##.##.#...#.####.####..#####.##
###.......#..#...####.###..#.######.###.####.####.##..#.#..###.###.#.#..#.###...#.##.##.##.####.#.#..#.#.####..###.#.###.#########.#..###########.#.#....#####.#.########.#.#.##.####.##..###..###..#####.###.####..######...###..#.#.##..######.##########....###.##.#.#.####..#.##.#....
###...#########.#.#..#...#....##..#.##...#.#...#.#..#####.#.####...##.#########...##.###.##.####...####.#.###......#.....#.########.##.######..##.##.#.#..###.##.##..##.##.###..#.#......##..###..#######.###..#..#.#.#.#..#..##.#.#.##.##...##.##.##.########.##.#####.##.####.#..#.#.##.
#.#.####..####..#.###.#.#.###..#..############.#....#.#..#####.##.##..##.##.#.#..#.#####.##...###.#.#.####.##.#.......#.#.##.####.##..##..####...#..##..#######.#.######.#..#.#...#..###.#.#.#.#.####.###.#...#####..#####.##.####....########..#.#.###.###..##.#.#.......#...#.#..######.
#....###.....#..########.#.####....###...##....####.####...##.#...#####.#.#..##.#.#.#..########..#.#..#.....#.####.######.###..##.#...#####....#.#..#.#.##.###..##.##.#.##.##.##.##.#.###...#.######..##..#.#.##.##.##.#..#..##.#######.#..########..#####.##.##.#####.#..########....#.##
###..##.#.###.#.##...#.#..#.##.####..#######.###.#..###.##...#.####..#.##.#...#.#..####.####..####.###.##.#...#.#.##..#.##.#.#.####.######.##.###....###..#.#.#...###...##.##.#####...#####.#.#.#.#.#..#.#.#..#####...#######...#.#...#..##.#.......#..#.#...#.###.#..#####.##.##.#.#.#.#.
#...#.#.######.###...#########.###.....##.###.#.###.##.#...#.#.###.#.#....#...#.#.#.##.#.#..####.##..#.####.##....#.#####.##...####.######.##.##.#...#.#...#.#######.###.######.....####..###.#.##.##.##.######..##.######.###.#######.########..##...##...####..##..##.###..#..#.#.##....
.##.####.#.##.#.####..#....###.###..#..##.##.####.###.##.#...####.####..#####..#.##.##.#.###.#####.######.##..####.#####....###.#.#.#..##.##..##.##...#####..##..##..####.###.####.#.#.###.##.#.#.#.###.#.#..#..######.###.##.#.####.#.####.##..#..#..##.#..##.#####.#....#..#..##..#####.
##.####.##.#..#####.#####.###..##.#..######.#..###..#.#.#..##..##.#.###.#.##..#.#.######.#####..###..#..#...##.#...#..#####.##..#.#.#.###.########.##.###.#.#.###.###########..###...##....##....####.###..#.##...###.###..#.#.###..####.#...#...##.#..##..########.#.#.####..###.#....###
#..##.#####.#.####..##..##.#.###..##..#...#######.####.#####.###.###.###...#..###.##.#..#.#..#.##.#.##.###.####.#...##.#.###.##..######..#####.##.##..##.###.##.##.#####..#.....######..#.####..#####...#######.#.#..#.#.####.##...##.#..##.####..####.##.####.###.#####.###.#.##.#...##.#
##..#########.#.#####..#..#.##.####...###.#..##.#######.#.###.#.####.###..####.#..#....######.##.##..##.#.###..##.##.##.#...#....#..##.#.#.######...#...#.#####.##.###.###..#..#.....##.####.#####..#..##.#.####...#.#####.#######.#.##.###.###.##.#...#########....#####..####.##..##..##
.#############.###.#...##...##.###.#######.#..#.#####..##..###..#...#..#..###.#...##.##.#.####.#...#.##..##...#.####..#.###.########..#..#.#....#...#..#.##.###.##.#....#.##..###.##..##..##..##..#...#......###.#.#.#.#.#...#..######.#..#.##.####.##.###.##.#..###..####.###.###.#..##..
##..##.#.####..##..#.......#..###.##....####.##..###.###..#######.#...#####.....#.###..##.###..####..##.#.####.#############.##.###.#.#.#.##..##....#.########...#####......##.#.##.#########.#######....#######...#..#..#.#...######..######.#...#...#..####.##.##...######..##.#.#......
##.###...####.##.##.#..###..####..#..###..#########..####.#.######.#..#.####..###..#.##.###..##.#.#.#.######.....####.##.####...#.##..###..##.#..##..#.##..##..##..##..#..####.#.########.#.#.##..##...##......####.##..#.#.#.#..#.###..##.##...#.##.##.#.##..#.##.....#.###.#.###.#..#.#.
....###.###.######......##.######.##.###..###.#.##.#.#..#...##.##.###..#..##....###.#.#..##..#..#.##.###.#.#..#.##.#.###...#..#.###.....####..#####..##.#.....###..#.####..#.#####....##...#.####.#..##.#.####.#.##.####..##......####..#.#.#.####.##.....#.#.....##.####.#.#....#...#####
#.#..##..####.##...####.#.#.##.#####.##.#...###.###.#...###.##.#.#.#####.....##.####.##.#.###.....#.#.....###....####...#....##.###....####.##..#.####.###.#.#.####.#.#..#.###.####.#.#.#.######...#..#....#####.###########.##...###.#######.###.#####.#######.##....##...#####....##.###
.#..#.##.#########..###..#.#######....#..#.###..#..#.###.#.#...###.##....#.#.##.#...#..#.###.#...##.##.#.#.##.#.#.###.##..##.##.#.###.##.#.#.###.#.#.#.#.#.###.#####..###..##..#.##.####.#####.#####.###...##....#.#.###..###.####.#.###.#.########.#.#..###.#.###.#.###.########.#####.#.
###.....#..#.#.#..###.###..#.#.###..##.#.#...#.##########....#.#..##...####.#.#.#.#..#.####..###..##.##.######.###..###.##.##.#...##.#.##.#..####.##.#..#.##.#.#.....#..#..######.#..#..######..#.##..#.....#####.####.#..########.#...##...###.#.####..##..###.#...##...##....#...###...#
..####.#..#.##..########..###.#.##.##...###.###.....##.#..#####.#.#..##.#...#..#.#.#.####..##...#..####.#..#.#####.#.....####..######.#########..##..#.....###########.#..#..######.##.#..#.###.###.##..#.#..###.#.#....###.###.###....######...###.##..#..######..##.#..##.#.###.##.#.##.
..#.#.##....###.###.#######...##..###..#.#....#...#..####.##....##.######..##.#.#....#####....##..#####.#.###.#..#..###.########.########.#####.####.###...####..#.###..#..##.#.#####...##.#.##.#..#.###########..#.#.#########.#..###..######.#.##.##.###....##.##.##...#.#...#.##.##.##.
####.#####.#.####.#####.#.##.....###.#######.##.#.##..#####.#..###.#..####..#######.####....#....#..##..###...######.#.##.##....##.#.##.#....##.##.###.####...##########..#...######.#..##.####..#..#####.####.####...######..####..#.##.#.#.##.####...#..##..#.#######..####...###.##..##
##.#..#####..###..##.#...#.#.###.##..###.####.....###....#....###.#.####....##.#..#.#..####.#.##.###.###..###.#####..#.#.##.###.#..#.#.###.###.###..##.##..###.#####.###########.##.##.#.##..####.#..######.##.#..##.##.##..#....####.#.#.######..##.#.#..######..##.##..#.#####.#.##.#.#.
...#..#.##...#.##...#.##.#.##...#######.##.#.###.#####..#####.#########..##.####.############.#....####...####.#.##.###..##.##########.####.####..#..#.#.#..###.###.#..######.##.#..###.#.##.####.###...##...#.##..#..####.####.###.#.#..##..###...#.####...####.##.##........####...#####
##.#####.#.#.#######.#.##.####.###...#.#.#.#.###.##...###...###.#.#...##.#.##.##.##..#.#####.#..#.#...##.####.#####.#.###.#.##.#..##..##..#.##.####...#...#.######.#.#..#....#.#..##..##.######.#.#..####..##......##..#.##....###.#...#.####..#.#.##########.##...###.#..###.#..#.#.#.#..
###..#...###.....##.#.####..##########.###.##.#..#.#.##.#.######..#.#..##..######..#...#..##.#.###.#.###.#.#.#####.#..#.#..#...#.##...####.####..#...#..##.##.#.####..#.##.#...#..######..####.###...##...#.####..#.#..#####..#.#..#.......#..#..##.####..##..####.###.#.#.#...##....####.
.##.##.###.####..#.####..#...#...####.#.#..#..##.########.##.#.###.##.#.###.#.#...####.##.#....###..#...###..#.##..###.##..##.##.###.#.#..#.#....#####.###.#..#.##.#.###..######....#.#..#.##.###.#####.#..###.##.#...#.#####.###..##......#####..#.#......########.##....#.##..#.##.....#
#####.#.##.###.#.#.#.#####.#.....#.###.##.#.#....#.###..######.#.....##.#####...#####.#..###.#..####..######.#.#.#..#..#.##.##.##.#.##.#..########.#.##..#.#...###.###.##.#.##.#.#.##........###...##.####.####.#..##..###.#...####....########.#.#.###.#.#..##.#####.##.#..###.##.#######
.....#.#########.#.#####.#..#....#.#.#.#...##.#.....######...##.#.#####..##.########....##.#.#.##.#####.#..#.#.##.#.#....###.##...####.#.#...#..######.#...####..#.....#####..#.###.#..######.#..#...##.....#.#######...##.#.######.....######..###.##.#.##..#######.#.#####....####.##.##
##.#.#.###....#..###..##.####.##.###.#..#.#.#..#..##..#.####..######.#.#.###..#####.##.#.#..#.###..######.###...##.###.#######.##.###..####.###..#.##.#####..##..###...##.#.#.#.##.##.#..#########.#.##.#..#.#.#.##.#...#.#######.#######.####....#.#.######.#...####.#.#.#.#.##...##...#.
#.##...##.####...#..####.#.###..##..#.#.#.#...####.#...####.####.##.#.#....####.##.###.###.##.#####..##..####.#.#.####.###..#.######...#...#.###.##...##.####....##########......##.##.############..####.#.####...#.#.###.#############.##.##.###.#.####.####.#########.###.#####.#.###.#
##.####.###.#.#.#..##.##.########.##.#..#..#.#.##.#..#..#.##...####..#.####.##.###.#####.#######.##.##.###.#.#.....#.#.#######..#####.#.####..##..##.###.##...#.#.#..####..#..###.##..####..#.#.#.#####.######.###.....####..#..##.####.####...######.###.##.#.#.####..#..#.######.#.#...#
##########.#....####....##.###.......##......###.#.#.#.###.###.###.##.##..#.####.##.###..#....#.#.#...#.#..#####.###..####.#.#.#####.#.##..###..#.##.#.##......###.......#..##.#####..#.##..######.#.#..#....#..#.#########...#####..##.########.#..###.##.#...#.#.##..#.#.##....##.#####.
.#..#...#.##..##.#####.#####.##.#...######.#.##..####..#.##..##.#.#####.##.#.#...##.####.#.##..####.####..###.###....#####.####.######...##.###.##.####.#.####..#.##.#######.#####.######.#..#...##..#..#..######...####..####.####.##..##.##.#.#..#.##..#..###..#....##.##.#.#.##..####..
##.##.#..####.#.##..#.#..##.#.##....#####..###..####..#...#..#...#.###.....####..###.#.#.#.#..####.###..#....##..###...##.#.#...##..########..####.##.###..##..#.#.#.#.####.###..#.#..#.##.##..#######.....###.###.##.###.#.#####..##.#..#.##.##...#####..####.###.#.####.###.###.#.#.##..
###########.#####....##.###...#.####....#.##.#.##...###.#..##...#..#.####.#..####.####..##...####.#####.#...#.###...####.#.#######.############..##.#######.....########.###.#...#.#.##.#.#..#...#.#..##.##..##.###.##.#.#.#.#..#.#..#.#..#......#.###...#######.#####..#..####.###.#.##..
..#.#.#.###.#.###########..#.#..##..#.##.#####...#######.#..#.##.######.##.#...###.#####.####..##..###..###..##..#####.##...##..#..#.#....#..####...##.##.###.#.#.###.##..#.###.#######.#...#.#..####.##.####...#.#.#....#.#......#..###.#.#..####.#.#.####.###.##.########.#..##.###...##
.#..##.######..##.###.#.#.####.#.#..####.###.###.####.#.#.....########.########.#.##..##..#....#..##.#..###.#####.#####.#....###.#..##.#..##..#######.##.#...#..##.#.###.#.#.#####.###.#####...##...#.#.#####.#.##.#####.####.#.#.#.###.##..#####..###.######..###...###.#.#####..####.###
.#####.###..##.####...####..##.###.#..##..###.####...#.#.#..#.#......#.###.##...#..##..###....#.##.###.#..#..##.#.##....#.#...######.....######.##..###.##.###.###.##.....##..####.###.#...##..#####.#.#.#####.######.####....#...#.##.##..##..#####.######.#.....##..#.####.#..#...##....
.##..####.####..##...###....#......#.#.##.##.#######...#..#..#..#.#.#####..######.#..#####.#######.#.###.##..##########...#######..######.#..###...##.#####.####..##..##.###..#..###.##.#.#####.##...##.#.##.#...#.####.#..#.###..####.####.#..#.#.##.#..#.######.###.##..#..##.##...#...#
#.##.#.#...##..#.#.....#.#######.##.##..###.##.#####.#.##.####.####..##.##.#.####.##.##.###...###.##..#.##..#..###..#.##..#.#####.####.#..####...##...####.#.###.#.##.##...#####....#..#.############.#.###..####.#..###....#.##.#...#..##.#######...#####.###..#.##.#####..####.#.###.#..
..##..##..#.##...##..####.###..#####.###.#.#.########.#..###.#.#####..####...###......######.###..##.#..##.##.#....#####..##...###..##.##.####.#.###.#########.#.##.....#.#......##.#.#..###.#.#..#.####.#...####..##.###.###..###.###..###..###.....###....#..#.#.#.###...##..#.#....####
..##.##.####..#####...####...#.###.#...###....##..###..###..####.####..####.#..#########..#.###.##..#.#######.##.#####.#...#####..##..##.#.....#..######...######.#.#...###..####....#..#..##..#.#....##...##.##.#.###..####....#.##..####.##.##..##.#..##.#.####....#.#..####....#####.##
##...##.#.######.###..#######....###.##.######.#..##.##..#..###.####.###.....#...###.#.#.#..###.#.######.##..#..#######.####..#.#...###.#.#####...#...#.#######.#.#######...#.##.##.##.#..####.#.###.#..#.#.####...#######.#.#....#.#####..#.###.#.###..#.###.#.#########.##..##.##.##.#.#
...#.####..#..#...####..####..#.#..#.#..####.#.#######..#.#####.##.#.##.#.#...#.###..#.######.##..######.######...#.#.###.##..#.#.#.##.###.####.###..#####.############.#..#..####..##..###.###.#.######.#...###.##..####...####.....#.##.##.....#.##..#.##.####...##.##..##.####..##.....
.###.##..#.#.#.....#.#####.####...##..#....#..#.###.##.......##..###.#..##.###.###.#...##.##.###.....##.##..#..##########..#.####.#####....###......##..####...###.#.##.######.#.####.#....#..##..##.#.##..##..##...###.#..##..##..#.##.#..###.#.##.....##..#..#.#.##.##..##.##.##.##.###.
#.#.#.#..#####.#.###.##..#....###.....#...##.###.####.#.#.##.##.##.##..#####.##.##.#.##.#.#..####...#...###.#####...##.######.####.####..######.##.###.##.#...#.#.###..#####.######..###...####.##.###....###.##.####..#####.###..##.#..####.###.########..###..#.###.#.##.#.##..##.##..#.
###.###.##..#####..###..#..##.#.###...##...####.#...###.#..##......#####..#.#.######.###.#####.#.#.####.#.#####...#.##.###.#.##.##.########..##..##.#.#.###.##.#..#..##..#.#..##.##.####..#.##....##...#.#.#..#...##.####..#.######.#.###.#..###..#..####...#.##..###.#...#.#.#####.####..
#########..#.##..###.#####.##.##.#####.##.###.#.#.###.###.##.#######.#.####.####.####..##.###.#.#..##.#.#..#.####.###..#.###.#.....####.#..###.#....####.....##.#.#...#..####.#...#######.#...#.#####..##.#.###..##.#.#.############.#..###.##.######.###.###..........####.....####.#....
##.####...##..##.#..##..#.....##...####...#.######.###.#..#####.#.##.#.#..#....#.#..#.#.###.##.####......##.####..#..######.##...#.###.######..##.######.#..#..#.#....#######.######.#...#.###.##.#.########.#....#.######.##.#....##.#..#...###.#...##.#..######.#####.######.##.##.#.#..
...##.##.#.#..#.#.....#..#####.##.#.###..#.#####.#..#..######.###..#..#..##.#.##.#..##.##.###..#...#######...##.###.#..##.#..#..###...#..##.#.######.#.#.###..#..##..######.#.##..###.########..##..##.####.#.##.####..##.###.##...####...#.#.##.#..#.#.#.#...#.###.###.#.###.#.#.#.###.##
###.#..##.###...##.#..###..####.#.#.###.####.##.#.#.#...####.#.#.#..####.##.#.###..###.######.##.####.###.#....#####.#...#.#....#...##.####.####.#.####...#..#.#.##...##..#.#.#.##...###..##...#.##.###..###.##.####.#########.###.#.####......####.#..#####..#######.###.##...##..#..#.##
#..#.#.####.#.##..#.#.##..#######..##.##.#..####..#.##..#..#...#.###.###.#...#######.##.#.#.##......##.###.#..##.##.#.####...#..##..#.#.##.######..##.#...####..###.###.#.####.##...#...#...###..####.#.##.#.#####.###.####...####.#####.#####.#.#..#...#.#.###.#.#.#..#.#.####..#.#.#.#..
#....##.#.#.###.##.########.######.#..###......#######.#..#.....#...###..#####..###..####.#######..##.##.#.###..######..##.#.###.#.##..#######..##..#..#.###...###.......###.#####.#...#.#.##...##.####.#####..#....#.##...#..#..##.#.###.#..####.##..###.....##..#.#######.#.##.#.####.#.
.#.######.##.....#######..######.#..#.####..##..#.####.#####....##.###..#....#.##.#.##.#..#####.####.##....######...#.##.###.#.#.##.#######....#####..#.##.######.###..##.#...#...###.####.#...#####.#...##.##.##...##...#.####.#.####..###.#..##......#..##.###.#######..#...#..######...
####...#####..#..###..#.##.##..###...#.#.###..##...##....#####.###..#.###.###..#..#..#####.##...#..###.###.######.###.##..#######.######.#######.#.#.##.##.###.##...#.###.#.#....###.##.###..###..#..#.###..###..###..###...######.####.#.#######.##..#.###..###.####.#..#.#####..#..#####
#.#..#...#.####..#.####..#.##.####.####..#.####.#.......######.#.#######.#.##..###..##.##.##.########.#.#####.###..####.#.##...###.##..##.########.#...#####..#####.###..###.#.##..######.###.#..#.####..###.###.##.#..#.####.#..#.#..########.###.#######.####.#..##.#...#.######.#####..
.##..#..##......##.##.#..#####.######.##...#..######..##.#..#.#..#.#..#....#.##....##..#####..##.#.#....#.#.##..#####.#.##...##.#..#.#.#....#.###.#.##..#.###.#.#.##.##.#.#.#.##.#####.##.###..#.######.#.####.##...#.#.###.#.##.###.###.###.....##...#...#.#.....#.#.#.#######.#######.#.
.#.##.##..###...#..###.##.#####.#######.########.##...####.####.###########.#.##.##.#...##....##.#.#..###..#.#..#####.##....######.##...##...##..#.###.########.##..##.###..######.##...##..#.######....##..############.#.###.#######.############.#.###.##.##...##...#.####.#...#.#..###
..######.###.##.#..##.#.#.....#######.##.###.###.####.######..#.##.#.######.#..###.#.##.##.###.#.#####...##.####..#.###.########.#..#..#####.##.##.#..#....##.###.##.#..#.#.#..#####.#.#.#.##.#..#.##.###..#######..###..#....###.##.#.###.###....###.##.###.#.#...####.#..#..#..#..##..#.
##...###..###.##....#.#..#..#.#.####.#.#####.....#.##..#.###.#.#..#.##.#.#.#..###..#.##.##...#.....######.#..#.####.#.######.#...#..#######..#.##..#####.#.#####.#..##..#.#.##.###.#.###..###.##..###.#####...##.####...#.#..######.##.##.#.###..###.###.#.##.#.##...##..#...#.....##.#..#
.####...#.#.#.######...#.#.##.####.#....####.##.#####..##..#...####..###...###.##.#.##.##.#.#.#..#.##..#.#.##.....##.#.###.##..###.##.#########..#....#.#.#.###.....##..##########.####.#..##.#.....###.###.###.#.##.##.####.####.....######.#...####....##.####..#.###..#.#.###########.#
###.####.##.####..#..###..####.....###.#####..###.#.##.##..#.####.####....###....#.###.######..####.#......##...###.######..####..###..######.#.#.#.....####.#.#.#####..#....#.##..###.##.###..#####.#...######.##.##..####..#.#..###.##....#..#.##...####.#.######..#########..#...#.####
####..###.###..########.###.####.#######..#..##..####.##...#..##...#.##..##.#.#.##.#####.######..#####..##.#..###.....##.##.##..##.###.###.###.#.#..#....###.....#...#.##...#.#####.#.##.#.##.#.#...###.#..#..#.######..##.#.##.##.##.#####..######...##.#...###..###.##.#.####.#####.###.
..##...######..#####.##.#.###...#.##.##.#..###.#########.##########.##.##.#.###....#.##.....###..##.##.######.#########.###..#.##.##..###.##.#..#...#####.#....#.##.######.#.##....####.##.###.....#####.#.#....#.#.###....##..#####..#.##.##.#.##.#####...#####.#####.##.####..##.##.##..
#.##..##..#..##...##.#.#.###.#..##.###.#####.#####.####.#.##.#.###...##.#...##.#.#.#..##..######.####...#.##...####..##.#####.######..###..#.#####.##########.#.###########.##.##.......#.###.#.#######.#..######.#######.###.#..##..####...#.#.#...#########.#.####.###..###.#.#..##.####
###..####.#..#...##..######.##.#.#...######..#..#.###..#.#.##.#....#.##..#####.#..#...###..####.#.##.###.#.####.##.#.###.##..####.#.#..#.#..##...###.##..###.##.##.#...###..#....##.#####.######.#.######.###..#..######...#######...###.##...######.##.####.##.###..###....#.###.##..###.
.#.##.....#.##.##.#....##.##.#.##..#.##.##.#.####.##.......#..###..###..###.####..#....##.##...#..#.####......#########..###.##..####.##.##.##..#.#.#######.#.#.#.#.##.####..#..###..#.#....##.#####.#.###.##########.#.#######...##.#####.##.#.##...###..####.#..##.##.####.####.#######.
..##.......##...##..#.#...####........#.#.###..#.....##..###....#..#...#..#.#..#.#.....##...#..#.##..###.#...#.##....#...##.#.#...##.#..#.#.#..###...###..#....##.##..#..##...#.#.....###.#...#........#..#...#........##..##...#.#.#...#.##.####.#.#.....#####..#....###.##.##..#....##.#

19 300 10 4 4
..#..........#.#...##.#.###..#.###.....#.#######......#######.###.####.......##...#.#######.#.########.#..##......#.#.#.##.#....#.###.##......#..#..##.##..#.####.....#.....#####....#..######.........##########.........#..###...#.##...##...######....##.#.#.....#.......##..#.......###........#########
.....#...#.#.....##...#####.#.#..###...#.######.....#...####...#.####.#..#.#.########.####.###.#######....#..........#.#.........#.##..##.#.#..###...######.#######...###.######..##.#...####.##...#...###############......#.##.#####.#..###..#######..#....#.##.#####.#.#..##........####...#..###########
..#.......#...#.###.....#..###.........##.######.####..#.###....####.#..##.######...###.#.####.#######.....#....#.##..###.....#...###.####........#..#####.#..###......#########...#..#..#.#.#.....##..###.########..##..#####..#.###.......#########...#..##.#..###..#.##..#.........#...#.#...############
.#...##..###.###.###.#.....###........#..#...##..##....#######.######...###.##....#######..####.#####..#..#.#.#........####....##.###..###....#.....#.######.######.##.#########.#......................##.#.#.#.......#.####.######..#..##.##.######..##........####..........###.#..######.###############
........#.######.####.#.#..####..##...##..#....#####################.#######...#...#####....#.#.####..#....######.....##..##..#.#####.#...........###.###########.#.#..######...#.#..#.#.####....#...#..###.#.#...........###.#####.#.#...##.#.#####.#####.....##..#....#........#####.....#.###.##########.
#...##..#..###....#.####.#######.#....##...#..##.####..#############..########.#...#####...###..###.###..####.........###......##..####..#.##...##.##..#.########..#..#####.#....#...#.######....#.#....#####...##....#....#####.##.###...####.###.##..#.#........#.#........##...###....##.....#....#.####.
##.#.##...##....#.#...####.#####...#.......#...######...############...##.#.###..#######..#.#.....##.#####.###....#.#.##.#...#.########..###...##...###.#############.####...#.........########.##.#......###.####...#.......##.##...##...####..####.#.#.#.##.........#####....#.##...#......#..#.#.#...####
###...#.#.#.######.#..#########...####.#.#.#...##.####...##########.......##..#########....#.#...####..#.#....##..#.###.......###.#.#.....####............########..#..##...#......#...######..##..####...###.#...#.....#..###.#.##..#.........##.##...###......##...#####..#.#.#.#...####.....##.....#.####
.#.#.......####....#.##########.####.##...#..#.#.####.##..########.#.##..###......######....#........#........###..##.###..#.#######.##..#####.........#.#.#####.###.#...#..#...#..#.##..#.#.###.###.....######.#..#..###..#.#..#.##.#........#..##.########....#..#.#####.....#...#..###.....#.####.#...###
..#.....#..####..##.#.##..#.#....##.#.#..##.###...##..#...########.....#..###......#.##.#..#.#..........................#.#..###..#......#####......#.....#.##..##..##.......##.....##...######...###...#######...#.....##.......##..#......#......########..#.##...#.###.....##.....#.###........#.#.##..##

20 9 298 4 4
.......#.
.#...##..
.####.#..
#...####.
.........
..#..#.#.
........#
#.##.....
#####..#.
#####.###
...##.##.
..###..##
.####.#.#
###..#.#.
##....###
...#..##.
.##.#####
#######.#
..######.
..##.###.
##.#.###.
.#.#....#
...####..
...#..##.
...#.####
..#.#.##.
...#..###
......###
.......##
.#.##...#
.........
....###..
......#..
#..##..#.
##..##..#
.....#.#.
.........
......#..
.#....###
.#....#..
.#....##.
#..#..#..
#.#.####.
...#..###
....#...#
#.....#..
####.#..#
#.####.#.
.#####..#
...###...
...##....
........#
...#...##
..###.###
#########
######...
###.##...
#.#####..
#.#.#####
#########
####.##.#
####....#
######.#.
..##.....
..##..#..
#....###.
##.#.....
.##.##.#.
##..#....
##.###...
#####....
#######..
#########
#########
#########
########.
#########
#########
#########
#########
.######.#
##.#.....
.#....#..
#.#.#####
..####.#.
..#####..
..####.##
.########
.#####..#
.######.#
..###.#..
.#####...
..##....#
.#.#...##
.#.....#.
#......##
.##..#...
.#.......
####.#...
#####...#
######...
#########
#.#..####
..#..####
.....####
#.....###
....##.##
.........
......#.#
..##.###.
#####....
#####...#
#####..#.
###...##.
.#....###
..#..##.#
###..##.#
###...##.
#.#.####.
#.#####..
.#.###...
...##...#
..##.##.#
#.####.#.
.######.#
.########
######.#.
######.#.
.###.....
.........
#....#...
.#.......
...#..#..
...#...##
.#..#####
####..##.
###....#.
####..###
#.....###
.#.#.#.##
...##.#.#
#..##.#..
.....#...
....##..#
#....##..
.......##
#....#...
...#.##..
.#.....#.
#.#..#..#
#...###..
..#.#####
...######
...######
.#.######
#########
....#.###
.#.#.####
##..#.#.#
###....#.
###.#..#.
..###.#..
..##...#.
......##.
#......##
....#..##
###....##
.##...#..
##...##.#
..#.#....
..##.....
..#######
###..##.#
.####...#
####.....
###.#.#..
##...#..#
....###..
.#..####.
.##....#.
......##.
.#.....##
#....##..
##....#.#
##..##..#
.###.##..
..####...
...#####.
..###.###
##.#.....
........#
.###.#.##
..#..####
.##..####
##....###
###.#.#..
######...
######..#
######...
#####.#..
######..#
####.#.##
###..#.#.
#####.#..
######...
..##....#
.###.....
.#.#.#...
#......#.
#...##...
##..####.
#..####..
...####.#
#..##....
.#.#..#..
.#....#..
##.......
##.##..##
#..##...#
...##..##
#.#####..
..###.#..
......#..
##..#..#.
#....###.
#.######.
.#####...
..#....##
######...
....##..#
#........
#..#.....
..#.#.#..
##...##..
..#...###
...#.####
..#######
.########
.########
#..######
##..#####
...######
...######
.#.###.##
###....#.
###...##.
###...#..
###...#.#
###......
##.#.....
#...#....
..#......
#........
##..#....
....#....
.....##.#
##....#..
#........
#...#....
.#...##..
..#..##.#
#.##..###
....#..#.
.......#.
#...#...#
#..#####.
..#..####
##.#####.
...#...#.
#.##..##.
##.##.###
..###...#
....###..
..###..##
..####..#
#.....##.
#..#....#
##..#####
####.#.##
##.#..#.#
###.....#
###....#.
...#...#.
.#....###
.....##..
...####..
#...#..#.
.#..#..#.
#......##
....#.###
.#.######
.########
#.#######
#########
#########
.########
#########
##.##.#.#

21 295 9 3 3
#.......###..##.....######.###...#..#...##.#.#...#.....#..............#..#........#.##########.....##...#.#....#.####..######....##......##.....#.......#.#####...#...##....#..#.....#.###########...##.#.....######...#######..#...####.#.####...####.###...##....#..###...#####.#.##.#.#..#......#.#.
#..######...........#########........#.#####.#.###.#####..#.#..#.#..#...#####...#..##########.......#..##....###..###.#.############.##...###.####.......#.#####.#.#..#.#.............############...#############.##..######....##.##########.#.#.###.##..##.#....#.##....###....#...###...........#..
..####.###....#....##########.#.#......#######....####..##.#....###..#...#........#.#########...#.....#......##..#.##################......#...#...#......#######.#.##.##.#.....#.....##############.#######..###.#...######...#.#.#####...####.#.####.#...##.##.#...##....##........######..#####...#.
#.####.#..###..#...#.########...#....#.#.##.###..#####....#....##.......#...#.###..##########......#.#..#.####.####################..#...#.##..#######..###.#####..##..#..........#...############.########..##..##...####.#..#...######.#...###..##.#...#..#.###......#..#........#..##.##......##.#..
##..#....#.###.......####..#...#.#...####....#...#....#........#.#.#...####......##...#.#######.#..#.#...#.#.##.#..###..####.#####.####....##.######......#######.##..###..#.#..##..#.############.########..#.#..#....###.......#######.########.#######..#........#####.....##.......#.....#.###...#.
......###..####...#.######...##.####.#.##...#.......##..#.....#.....#.....#..#.#.......#######......#.....#.#..##.###...#.########...####..#.#####.........######..#....##..#..#.....#############.########.......#.#.##.##...#.#..#.############.######...#...##....###.......#....#.#..#####..##..###
..##...###.#...#...#########..####..#.#.#.............#.#..#.#.......##...#....#..#...#.#..###...........##....#..#.#.....#..####..##..#...#.#####.##.#.##.#######.#...####.##......##########################.........###......#...####.#########.##.##.#......##....###....##..####.......###...#..#.
......####.....#..#.#######.....#.....#.......#.#............##.#...###...#.#..######...#..#....##.............##..#.#.#....###......###.#...##########.#.######..#..######.#.##.#.##############.#..##########....#.####.....#######..#..#########...#.##..##..##.######...###..###..#......#.#..#.#.#
......##..#...#....########..##..#...#.##........##..#..#.##.....#.##.#.#...#..####..#......#..#####.#..........##..##.......#...#....#.#.############....#####.#.....######..#.##..##############...#####.###...##..#.#.#.##..######.#..##########..#.####..#....######.##.......#...###...........##.

22 10 292 3 3
######...#
####..#..#
####..#.##
##....##..
.....####.
.##.#.....
#.#.......
.#........
#.##..#..#
#..#...###
.##....###
##.....###
#...#.....
##...####.
##.....#..
.#....##.#
....#.##.#
.#...###..
#....#....
.#..#.####
....#.####
#########.
##########
######.###
#######.##
#########.
########.#
########..
##########
##########
##########
##########
#########.
.####.###.
.####.#...
.#####....
###..#..#.
#####.##..
.#######..
...#..#...
...#.#..#.
####..#.##
###.#..###
#..#######
...#######
.#..######
##.#####.#
#..#######
.....####.
....###...
#.###.....
..##..#.#.
.#########
.#########
.########.
##########
.#########
#.########
#.########
.#########
.#.#######
...#######
########.#
#.####..#.
#..##.....
..#.#..#..
..#..##..#
.#........
#..###..#.
....##.#..
...#.##...
....##.#..
...##.##..
....#..##.
...#..####
##..######
..########
.#.#######
.#.#######
...#######
#..#######
...#.#####
##.#######
##.#######
#..#######
##.#.##..#
###......#
##.#......
##...#....
###.#.#.#.
#####.....
..........
#.#...#.##
.#.#..##.#
......##..
.#...#.#..
..##..###.
..###...##
##..##..#.
#######.#.
###.##.#..
####.##.##
####..####
####...#..
####......
#####.....
######....
#..#.....#
#.#.#####.
...#.###..
.#...###..
....####..
#....###..
....#####.
...#####.#
...####...
...###..##
#.########
..#######.
######..#.
##########
####.#####
##.#..##..
..#..##...
........##
.......###
.###...##.
##.......#
##......#.
#.#.##...#
...#......
....#..#..
.......#..
..#.###...
....###..#
#######...
##...#####
...###.#..
####...#.#
...#..###.
#.....#...
.###..#...
...#......
.#....#...
..#####...
.....#....
.#.##.#...
.#######..
#.#####.#.
####.##...
.#..##.#..
..#...###.
###.#.####
.###.#####
#...#.####
...#..####
.#......#.
.##.#.....
...#......
..#..#....
.#####...#
.#####.#.#
....#.##..
....#####.
#.....###.
.#...#####
....#.##..
......###.
#.........
....##.#.#
........#.
....##...#
....#.....
..#####...
....##.##.
.#...#####
.##.#...##
####.##.##
....#..##.
.#....#.#.
..#######.
.#.....#..
.#..#..###
.#.##.#.##
.#.####..#
..#.#...#.
..##..#.##
.#.....##.
.#.#...##.
##.#..##.#
#.#.####.#
##..###...
#...####..
.######.#.
#.#.####..
...###..#.
..#####.#.
..##.###..
.########.
######..##
#...#....#
#..#.#.###
#...###.#.
#..#####.#
...#####..
..#######.
..#####...
.#.##..#..
.###....#.
.####....#
.#.......#
.#....#.#.
##..##.#..
.##...#..#
##.......#
##.......#
##........
.#...#..#.
###....#..
####..##..
####.####.
#..#.####.
.#....#.#.
..##.##.##
.#.#######
##.#.###.#
#######...
###..####.
###..####.
.#........
###..##...
####.#....
.######...
.#####..#.
..##....#.
.#.#.#....
.##....#..
..#.....#.
...#.....#
.#.#..#..#
##.....#.#
.#.....#.#
.#.#.#....
..#.......
.#..##....
.#..###..#
##..##....
.##.###.##
.##.#####.
####.#....
..#...##..
.#.#...#.#
#####.....
#####.....
#.....#...
....###..#
..###.##.#
..##....#.
.#.....##.
#.#..#.#..
...##.....
.#.......#
........#.
#...#..#.#
.##...#..#
..#.......
.#.......#
#...#..#..
....#..#.#
..#....#..
..####..##
.####.#.##
..#...####
.....#####
...#######
.#.###.###
###..#...#
.....#....
#.#...#...
........#.
.......#.#
.#...##...
#.####..#.
##...##..#
##.#..##..
####...#..
###..##.#.
.#.####.#.
.......##.
.######...
#.######..
#..######.

23 300 10 4 4
..##.#######.#######...#.####.##.#..#.####.#.##.###..#####..####.##.#######.#####..##.#.#.####.##..#.######.#####.##...##.#.##.###.##.#.#.#.#.#.########.##..######.####.##.####.##.##.#######.######.######.#######.##.####..##########..#.#.#####..#######.##########.##..#.####.#######.#######.###..##..
###...##.#############.###.##..##..###.#.#..####...##..###############...#...#.####################.####.####.####..##.#.##..##..#######..#.####.##.#.#####.####.#.##..####.##.####.###.###..###.#.###.###.#.#.######..##.####...#.##.######.#######.#..###.##.#.#.#.##.##.##..#########..#..##.####.##.#...
##.#.######.####..##.#.#######..#.###.#..##.####..#.#########.#####.#####..#.#.##.####.##.#####.##.###.###...#.###.###.#.###.##.##..##.#.###..##.######.###.##.###.###...########...####..#####.....##..##.#.####.####.####.#.#####..########.#.###.#####..#######.#####..##.#######.#####....######.#####..
####..###.##.##.######....###..#####.###.#..##.##.##....#######.#.###########...######..###..#####.###..##.##.#.####.###.######.#######.#####.####..#####.##.####..#.#########.##..###..##..#.######.#...##.######.#####.#.#.#####..#.#.#.###.#######.##.#.####..########.######..##..##.########.#...#.##..
..#.##.#####.###.##..#.#..#.#..###.#####....#.######..####..#####.##.#..###.#.####.###.#....##########.#####.#######...##.###.######.###..##....##########.#.######.#.#.#.###..######.##.########.#.#.######.......####.####...#.###..##.#####.##.######.######..#..##..####.##.#######.#.##.#.#.##..###..#.
.###.#####.###..#.#.#####...#####..#..###..###.########.##.##.####....#####..#.######.####.#.##.##..##..####.######.##.###.##....#.####..####.#######.#.###....#.####.##.####.###.######...#.#####.#######.#...##.##.#####.####.##..#####....#..#.######...##.####.#.###.#..###########.#...#.###...###.#...
####.#.###.##...##.#######.#######..#################.#.#####.#####.##.##.#######.###..##.#.#####..#.######.#########.####.#...##########..##..#####.#.##.#####.##.#.#.#.##.####.####.####.#..#######.###.#.#.#.##..#.######.###..###.#.#####.#.#########..#.#.####.####.####.#.########.##.##....########..
###.#.##..#.....##..#..#..#...####.#.#.###.#.##.###..##.##.##.##.#.##.#...##...#######.#.#.###...#..#.##.#.###.#..########..###..#..#.##.##......#.#.##...#####........#.......#######.#...#..#####.##..###.#..##.#....#.#.#..#.######..#.....#.#.##.####..####.###.....#.####..#..#..#..#.#...##.###.#.#.#.
..#.###.##..........###...#.#......#..#.#.#..###.........###.#..#..#...#.#...#..####..##.#..#..#...#..######.#..##.#..#...#.........#...............####....###......#.#.....####.#.......#..#.#.##......#####.#.##.....#.#..#......##.#...##...#.#...##....#......##.#.##.##..##...#...#....#....#......##.
..........#..........###..##....#.##...##......#.....#.#......##..........####...##..#.#.#.##....##..............##.....#...#....#.#.........##....#.#.......##......#..................#.#.#.##...#...#..#..........#..#.......###.##..##........#........#.........##..#...#...#....#...............#.....

24 9 299 4 4
.#...###.
#.##.#...
####.....
###.#.##.
..#.###..
.#######.
.##.#####
.###....#
##.#.....
#####....
#.######.
##.#.##..
#...##..#
#..###.#.
..###.#..
##.##..#.
#.####..#
..#..##..
.##.####.
.#.###..#
..##.#...
.#######.
.##.#.##.
####.###.
.######.#
.##.####.
.########
.#.####..
#.#.#..#.
#..###.#.
#.##.##..
.#####...
#.##.###.
#..##.#..
.##.##.#.
#.###.#..
.#####...
####.##..
######.#.
##...####
.#######.
.######.#
##..####.
###..##..
.##.#.#..
######.#.
###..#..#
#.#####..
##.#.#...
####.....
..##.#.#.
####.##..
##.##...#
###..##..
####..#..
...###.#.
##.###...
.###..#..
.###.....
###.####.
###.####.
##.###...
#.######.
#.#.##.##
#..###.#.
###.###..
.#.##.##.
#####....
..#.####.
..######.
.##.###.#
######...
#######..
#.#####.#
##.###.#.
#.##.#.#.
#####.##.
#.####.#.
#.#.####.
##.#.##..
.#####...
#...###..
###.##...
..#.#....
###.##.#.
#######..
########.
#####....
#..#..#.#
..#.###..
####..#.#
#...#.##.
..#######
#..##..#.
...####..
.####.#..
#.####...
.##.##.##
.#####...
#.#.##...
####.##..
########.
###.#.#.#
#.####.##
.#.##..#.
.#..#.#..
###.##.#.
.########
.####....
..##.#...
###......
.#.##.#..
#####.#..
###...#.#
.#####...
#.#..##..
.#####.#.
########.
#.######.
######.#.
.#####...
###..##..
#####.#..
########.
##.#.#...
###...#..
######...
##..###.#
######...
#..####..
.....#..#
.#.##.##.
###....#.
.#.#...#.
#####.#.#
#.####..#
#######..
######.#.
..#.#####
###....##
##.#.###.
##.###.##
#..####..
.######.#
.###.##..
#.#....#.
##.#.###.
######...
#.#.##...
#.######.
.##..#.##
#.#..##..
##.####..
#.##.##..
##.#..#..
#####.###
##..####.
#######..
..####.#.
.#######.
##..#..#.
.#######.
##.##.#..
##.##....
.#.###...
##.###.#.
######.#.
###.##...
.########
#.#.###..
.#.#.#...
###....#.
##..####.
#.###.##.
####.#.#.
##.#.#.#.
.##..##..
#.#.###.#
###.##...
#####....
##.##.#..
#######..
##.##....
#.#####..
####...#.
####.###.
..######.
###.###..
.#.##..##
##.####..
###.####.
.#.##.#..
#.#.##...
.##.##...
...####..
.#######.
.#...##.#
....####.
#####.##.
..##.##.#
####.#.#.
######.#.
.##.###.#
####...##
.###.##..
#######..
##..##.#.
####.###.
#.#.##.#.
.#.#.###.
#######..
###..#...
#.##.....
.##.####.
##..####.
######.#.
#.....###
######.##
###.###..
##.##....
.####.#..
#########
##.####..
###.###..
###..#.##
.#.#.#...
#.######.
###...#..
#####....
#..######
#....#.#.
#####...#
####....#
#######..
#######.#
####..#..
.######..
.#####...
#####..#.
.#..###..
.###..#..
#.###.#..
#####..#.
#####....
#######..
##.#####.
#######..
.##.###.#
.####...#
###....##
####.##..
######..#
#######.#
####.##.#
######.#.
######...
#.####.##
.##.#..#.
#####.##.
.####.#.#
#.###....
...###.##
#.#.##...
###..##..
#..#####.
#####.#..
.#..###..
#.###.#..
####..#..
#.#..###.
..######.
##.#..#..
###...##.
#.##.#...
.#.###.##
#..#.#...
#.#..#.#.
######...
######...
#.#####..
.##..##.#
#.#.#.#..
######...
.####..#.
.#.####.#
#.##.....
###.#....
######..#
.#.##....
########.
####.##..
#.###.#..
##.#####.
######...
.######.#
#.##..##.
.#.##....
..##....#
#....#...

25 285 10 3 3
.#.####..#.#.###.##.####.#..##...##.##.#..#.#.#######.#...#.##.##..#.##########.####.#########.###..#..####.#.###.#.####.#######.##..#.##...#######..#.#####.#.#.#...####.#####.#.#..#.#.#.###...#.#####.#.#.#.##.##.##.##..#.##.##.###.#..#...####.#...######..##..####..#.##.##..#...##..#.
#.####.#.####.#.#####..#.#.#.###..####.#.##..####..##..###.###.###.##.#####.##...#.#.####.##..######...######...######.#..####.#####.##.##.#######..##.#.######.#.####..###..##############.###..##.##.#.###.##.#####.##########.##..##..##.#.##.#..##...#.##....###....###....####..######.#
.#.#..#.##..##.#.###.######.###.###.######..###.###.####...###.#.###...#########..#.#########.##..#.##..##...#####.##.########..##...#.#.##..####.#...###.#...####.....#..##.....##.##..####..##..##.##.#.##.#....#######.#########.#.####...#..##########.####.##.####...####..###.#..###.#.
.########...###.##..###.#####.##.####.#.#.##.#######.###.#.##.####..#.##.####.#.##.##.#.#.#########.#.########.#.###..###...##.#..#..######..#...##..#..###.###.###.#####.######...##..#####..#.####.#.##..###..##..####.##.###.###.#.#.#..#.######.#.#...###..##...###.########.####...##..#
..##..######.#####.####...#.##..##...##.####.#.##.##.###.##.##..####.####.#.#.#######.###...#.##.#..#.#.##.########.#..###.####.##..###....#.####.......#..#.##.#...##.#####..##...#.###.####.#####.####.#.#...###.##.######.#####..##..#.############.########.###..##..##.##..########.#..#
#.#.#.####..##...#..#.##.##...##.#.######..######.#.##.#####.#....##.#...#.######....##.##..##..#..#...#...####..#.#.#.#.#...#.#.#.#########...##.#.#.#.#######.########.#..###..#############.#...###.#####.#..######...#.####.##.#.#######..#####.#.##..###.#####..#####..#.#.###..#.#####.
.....####.########.###..#####..########.######..###.##..#.##.#.###..###.#.###.####.###....########..##.####.###.#.#####.########.######.#.##.##.#.###.#..#.#####.###.###..################.#.####.#.######.##..######.#...#####.###.###.######....#.####....#####.#.###.##..#####.###.#.###.#
.#...#.#####..#######....#######.#..####.####...###.#.#.##.##..######################..######..#####.##.####..##.#####.##.####.##.#.###.#.#.####..##...###.#...###.#####.#########.###.#..#.####...####..###...######..###.##.###.###.##.####.########.####.#.#.#....###..####.###.###.#..#..
..#.##.##.#.##..#.....##..#.###......##.#.#####..#.#..###....###.#...##.#..####....#.#....#######.#..##..#.###.###..#.#.###.##.##....#.#..##...#....#.###.#....####....###...##.#.##..#.#.##.....#..##....#..##.#...###.##....#.##..#.##..#...##.#..###.##...#..#.....#######.#..####.##.####
..#.........##..###......#...#.....#.##.....#....#....#.#...#....#.....#..##....#.#....#.##.#...#.#...##......##.#......##.....#....#.......#.##.#.##......#.#.#....#..#.#.....#..##...#...#...........#..#........#.#.#....#............##.......####....#.#...#......#.#...................

26 9 291 3 3
..##.##..
#.######.
.##.###.#
##..##...
##.###...
.#.####.#
#####.##.
#.##.#...
.#..###.#
.##..##.#
###..###.
.##.#..#.
#.###....
#.###..#.
###.###..
.##.####.
#.######.
#########
####...#.
#.###..#.
####.###.
.###.#...
.###.#.#.
.#...##..
.#.###...
#.#######
##.#.###.
##.#####.
#####..#.
#####.#.#
###.###.#
#.#.#.##.
###.###..
.###.###.
..#....#.
###.##.##
.#.#.###.
#.#######
##.##.##.
#.#.#####
######.#.
#.######.
###..####
.##.#####
########.
###..#...
.#.###.#.
.##..#.#.
######...
#.####.#.
##.#.####
#..###.##
#####.#..
##.#####.
#######..
...#..#..
#..####..
..####...
#####.#..
#.#.####.
#.#.#..#.
##....##.
..#.##..#
##.####..
######..#
#..###..#
###.###.#
###..####
####.#.#.
#.####...
###..##..
##.#.####
####..###
.##.####.
####.#..#
.#######.
######...
##.###..#
###.###..
###......
#...####.
#.##.#.#.
.###.###.
####.#.#.
.#####.#.
...######
##..####.
###..###.
#.##..##.
##.#....#
.#######.
#.###.#..
.##.###.#
#..####..
###.##.#.
.#.#####.
###.##...
...#####.
#.######.
#.###..#.
#.##.#..#
#.#####..
.#..#....
.#######.
#.###.#..
###.##...
#######..
.#.######
####.####
####..#.#
.#####...
.###.##..
#####....
.#.#####.
.#.##.#..
.###..#.#
.#..#..#.
###..###.
##..#.#..
##..####.
.###.##.#
##..#.#.#
#..#..#..
...#.#.#.
###.####.
#.###..#.
#....###.
##..##...
.######..
####..###
####.#.#.
.#..##.##
##...##..
#####..#.
##.#.##..
#...##...
#####....
..#####..
#..#..#..
..#.##.#.
##..#.##.
########.
##...###.
.##..####
..#.##...
#.####...
#.##.#.##
###.####.
##....#.#
#.##..##.
#####....
.#..##.##
######...
###.####.
.##..##..
#..#...#.
#.#.###..
#.#...#..
###...#..
#.##.###.
.#.#.##..
#.####...
#.#.#.#.#
##.#..##.
.###.###.
.#.#.##..
####.#...
.###.##..
#######..
.########
...####..
#.#.####.
#####.##.
..######.
##..###..
###...###
###.###..
##.####..
###.###.#
#####....
.#..##...
#..#.##..
######...
##.#####.
....####.
#######..
#.....###
...###...
#..##..#.
.#.#..###
##..#..##
#..#####.
.#.####.#
##..#.##.
.#.#.##..
#...#####
.#.####.#
#..######
##..###..
#.#.#.##.
#.#######
###.##.#.
#.#####.#
###..#.#.
#.####..#
#.#####..
##.#.#...
###..###.
.##.#.###
###..####
#..#.##..
#.######.
######.#.
#.#.#..#.
######...
#..###...
.#.###...
####.#...
#...###..
#.#..#.#.
####...#.
##..###..
########.
##.#...#.
##.###.#.
#.####.#.
#.#.###..
##.##.#..
######.#.
##.##....
####.####
..#.####.
.#.#..#..
##..#.#..
#.#..#.##
.#....###
####.#..#
...###.#.
##.#####.
..####..#
#..#...#.
#####.#.#
.#..###.#
#.#.####.
..#.####.
.###.#..#
####.###.
###..#.##
##..####.
##..###..
.#..####.
#######..
#..####..
########.
.####..#.
#.#.####.
#####.#..
##..###..
.#.#..#.#
#..####..
#...###..
##.####..
###.###.#
.####..#.
####.#...
.####.#..
.####.#.#
....##.#.
.##.###.#
#..####..
.####....
##.#####.
##.###.#.
#.###..#.
..#####.#
####...#.
###.##...
#####....
####.###.
.###.##..
###.#..#.
##....#..
.##.#####
.##..####
..##.##..
...##.#.#
#.#####..
#.###.#..
.###..##.
#..##....
......##.

27 300 295 8 3
..#.#####..#.....#################..######..##..########.#.#.....##.#######..######.#######..........####..#.#..#.#.#####.........######################.###..##############.#.#.#...##......#.#############.............#####...#.#..#######.#.....#..#..#.#..#.#...#.###...#.##..#......###..#....#...#...
#########.....#.###################.#.####.......####..#....#.....##########.##############.....###.####..#.......######.###.....#######################.##.#.################.#...#....##.#.############..#......##......##...........#########....##.#.#.####..#..#.##...##.#####..##.#.#..#....##..#.####
##..######.#.#.####################....#...#....############.......#########.#..##....#####.........######.....###..####.#......#..#############..#####.#.....##############...#........#####.###########.........#...#.#....#..#.##....#####.###..###.#.######..#..####..##.###....###.##...##.#...#..#####
.##.#####...##.#####################....#.###..#############.....##########...#.###...#.####...#.#..#######...###########.#.#..#...#..##########.####.....##..##.###########........#.#..#..#############.#..##.#.........##.#.#####....#########.#..##..######..#..#.#....########...#.##..##.##...#...####
...#.##.#......##################...#..#####....##########.##...#######.####...#.##................#######..#.####.###.#..####.###.##.#########..###.......####...#######.........#.###....###############...###....#...########.###....#########..#.##...#########...###.######.##.....###.###....#.......#
.#.#.#.#..#....#################..#.....######.######.#.##.......############.#....##.......#.#..##########.#####.####.#.....########.#.#####..##.####..####.#....########.......#...#...##.############..#..####.#.#.#########.#......##.########..##..#######.#.#...###..#####..##.....#...#.###...#.#..##
......###.#....#..#############..####..####.#.#######.#####.#.#############...###.###........#...###.###.#####.#.#####...#....#######...#####..#.#.####.#######..#####..###.....#..........#############.....####.###...#.######....#.##.#.#######....#..###.#....#.#......####....#.##..####..####.#.##....
..##.....####...#..#############.###.#.###..########...#.#.#.....############.##.####..#..##.##...###..#.#.###.############.#########...##.#....#.#####.######..###......#......##.......##########....##.#######..###.#########....####...#####.##......##.####..#.#.....#....#...##...##############.##.##
.##.##..#####.#.#.##############.####..##..##..###.#.######..#...####..#####...##..##......####..####.....#.#################.######.....#.#.#.#..##########..#####.#...###...#..#...##.############..#.###.######..##..#########.#####.##.####.#.....##.....##.........#..###.##..#..#############..##..###
.....###.#####...#.#.###.###......####........#..###.#########.#####.########..###...#...#..##..###....#...#################..######.#..##..#....#.#..###.##..######.#..##...##...###..#############....##...###.#..##...#############.#.#######.....#...#.#.##...##...#.#..#...####.#...##########....#####
....###..###...........##.##.....#####......####.#....####.#################..........#.#.#.###..##..#################.#######.#####..#..###..#......#..###..##..#...##.##.......####.#.######.#####..#.###.#######.....############.#..#.#.#.#...#..##..####........#.#.#.....###....####.#.#...#....##.###
..######.#...#.##..#...#.......#.#####..##.##.##..#..##############.#...#..##..#.##..###...#........#######..#########.####.###.###.......##..#..#...####...###......#..#####...#..##.########.######..############....##############.#......#.#.####..#####.##.#..####.#...#.#..##.####........#...###.....
#...######..######..#.....#.....#####.#########.#..#.####.########........##.###..######.....#...#.#.#...#....#.#######.###..##.####.##.#...#.#####....###.#.##.......#...###........##.######...###..###############.#.#############....#....###..#.#.#####....#.###.....##.##..#..####....#....#....##....
.....###.#..#####......#.####....############..##...#.####.#######....##.#######..######.#..#.....#...#..##.###########..#..#######..##..##.......##..##########.#.###.#.#####.###.###.#######.##################..#.###.##########...#...##...#...#..#####.#......###......#####....##.#......#..#....#...#
#....###..#..######......####.###.####.######......#..#.##..#####......#####...##..####..##......###..##.###############..##.####............#.##.#..##########......##....###...#..#########...########.########....#....#.######...##.#.#.#.##.....########.#...#####.......###....###...#.#..###....###..
#....##...########..#...########.#.....####..####..#...###..##......#....#####...#####...##....#.##.#.##################..#...###...##....###........##########.......#.##....#..#...##.###..###.########..###.#...#.#.#....########.##.####...####..##########...#.##....#...####...##....#....###..#....#.
#...###...########..#...###########....#.#..######.###....###..#.#....#####.##....##...#.#.#..##.##..###################.##....##......#..###..##############...#.##...........####......#####..##########.#..#.#...#..#.....##########.#####.##..#############....####..####.#..#...#...##.#...##.......#..
..#...#....#######.....###########.#...#....#.###..###..#..##..##.###.#.#.##..#...##...####.##..#..#####################...#..##..#.#.#..#...##################.###.......##.##..#............#.######.##.....##...#...###..#.##########.#####..#.######.######.#.####...##.##........#.#####...##........##
....#..#...##########..###########.#.#..##..#..#########......############........##...####.##....#####################.##....######...#.....#################..##.#...##...###.##....#..#....##.#....#..#..##.#.##.##..##..#.#########...#......####.##.....#.#..##....######.##############...#..##....###
#.....#..#########.###.####.###..##########..##.#.###...##.#...#####....###.#....##....####...#...#.####################.....#####......#..#.#############..##........############........#.##....#....##.##.####.##.#.........#.######.#.........#.####.....#.#..#......#####.####...####.......#...##..##.
#.......###################.##..########.##....#.#.####.....#..######...#.#....#........#...###....##########.######..##..########..##.#.##..#############..#####.##..############..#.#.##.....#.#.#....#######..###...#..#..#......#.##......#..#...##.#######....#...#######.###..##.#####..............#.
..###.....##############.###############..#...###.######...#############..###..##..####......#...#############...#.#..#..########.###.####..##########.###..###....###.###.#########...#####.###...#.#...#######.####.##.#....#.#.###..##...#......#.#########........#.########.#....###########.#.....###.
..##################.....###...##########.....#.....###.#.#.#########.#..#######..##...#..#.#.##....#...#######.#.#.....####.##.#......####.#########.#.#......##..##...###########.#..#########.#...#.#.##############.###.#.#..##.#.#.##.....#..#.#######..##..#...#############..#.##########......#.##.#
.###.......##########....####..#.#########.......##.###.##############....#########...#..#..##.#.#.##.########.#...#..######.#..#......###..##########...###.###...##..##.#..#######..#..###.##..#....##.#######.####.#####..#.#.#.............###.########..#.###...####.########..################..######
#.###..####..#..#.###.##.#####..#.#.#####.##....##.#.#.#.############....#########.##.......#.####.....#.##..#....##..######.##....##..###....##...#..#...#...##..###.#.#....#..###...##########..#....#######.....###.###.##..................#.#.######...##..#.#######.#####.#..#..#############.##.#####
..#...####..####...######.#####..##.########.######.#.###############.....###..####.##.###.#..####......#....######.#..#.#####.#.#.####.#.#......#.###..#.#.###.......##...##...######.###..##.#...#..####.#.###..####...#..##.#.#.######.#...#....#####.........##.#####.####....#.#.##############.#..####
.#....#.###..#####.#######.###....#.#.#####.#.###.######..###########.##.#.#..#..#.#######.###.#.#..#.###.##.....#.#...####.######..#.#.....#....########.#######.....##.#..##...####.#.##.........##.#.##..#.....###...#######.#..###.##..#...#.#..###.#.#..##.########...#####.#.#..####.#.###...##.#...##
.#.####.###.##############.....#......####.....#..####..#..#############.##..#################.###..###..##.#.#.#.##...####.########.#.....#.......####.##..#..###...#...#......#####...##............#..#...##.##.#...#.######..###########.....#####..#.##.##.#..#..#...###..##.###...#.##.###....##..#...
#####..###################..#.##....#.#####......#####.......########.#...##.##################..#.#.#..#...####...#...###..#######.#####.##......#####.###..#.#....#...##....#######.......#...#....#....#.....##...#####.###....###########......#.#.....##....#.#..#.###...##.#.###.#...#..##.#...##.#...
####..#####################....##.#...#####....###.####......#######..#..##.#########################..........###....####.#.##############..#.....###...#..#.....###.######.#.######..#.###..#.##..####..#..##.###....#.######....############............#.#####...#.#####.#.##.####...#.##.###.####.#.#..
#####..######################.#.##.....####..#.##.##.#.#..#..########.......#########################..###....###..#...####..#############......#.###.#.............#########.#######...####.#..#.##..#..#.#.###..##.........#.#.#.############......#.##...#######.#.###.#####.##..##...#...#.##..#.#....#.
#####.#.#######################.#..##.#.#####.....##....###...#########....###########################.##.....##..###..###############.....#........##..#.....##....##########..####..#.######.#.##.....#....###..###........###...#############...######.############.##.######.#...#......#..#.#.####...##
##############################.#.#.##.########....#.#.#.#.#.###########..#.##########################....#.###....#.#..#.#####.#######..####........#.....###.#.....################...####..#....##...##....##.##...##...###.##..###################...#############.#.#############.#......#.######.#..###
#####.##########################.#.#...######....#...#.##..#############..#.##########################..###.##.#....#....#.#.#######...#.###.......###..#.#.###......##.#.###############..##.....##.#.###.#.###...#####...#.....###.################....############.#.###########..##.#..#..#########.#.##
#####.#######################.##...######..####...#.#######.######.####....#..###.#############.############..####.......#..#.######.....##......###.####............###.##.#.######.######.###..#########.#.##......#####............#.############..##..#########...#############...##..#.#.####....#....#
##################################.#####.##..#...#..##############....#....####.#.#.###########.###########.#..##....#.....###..#...#..##..##.##..#..######.#......#######....####.####.#######..#########.#.##....#.##.#........#...#.################.#..##########...############.#####....#####.#.#.....
.#..#############################.############.....#########.#######.......####..##.#######################.#...#.#.##..##..##.##........##.####..#..######...##...#######....###....#..#######.############.#......##.###.##.......#...#############......#..######.#.#.#....#####.#####..##.##########.#.#
###.###############################.###########.###.######..##.#.#..##.......#.#..##################..###.####.#####..###.###.####..#.#.##...#.#..##.######.####.....#####.#.#####..##.#####..###############...#...##...##.#........#.############.#....###.#######...###.....#.#######..#.#..############.
###...#############################.############..#.######...###.......#.#..#..#..###########..##.#....#.#################.##.....####.###.#..##.###..#.#...###.#....##...##.###..#.....###.##################..#...########...##.#.##############.....#####.####..#...##.##....########.#.##.#########.####
..##..#######################################......#.######.##.###.#.###.........#..#######.....#..#...##.############.##.......#######.###..##........##.##.#...#...##..#...##...####.###.##...##############...#...##..#...#..##.##########.#.###.##.#####.#.###.##.#..#.#....#########.#....#############
....#.####################.########..###.##.##...#.#######..#.#.########..#.....#...########..#.##..........########.#####...#########.#####..#.......####.........................#..#.#..###.#.############.####.######.......#...########........#########..#...#.##.#.......########.###.#....##########
.##.######################..########..#.#.#..#######.######.##...#######.##...####...#.######..##.#....####.#.#####.#.##.#####.#######..######.##....#####..................#..#...####.....#.#.############..##.#############..##..########..#.#.#######..##......##.........#.###########.###.#.##########
.#########################..###########......########.........####.#..##.###...#.......#..####.##.##.###...###.#######.#.#.############.####.#......#.####.#....#...#....#......#.#......###.....#.########.##.#########...###.....#########.##############.#.....##.####...#.##.###########.####.##########
###############..########.#.....######....##########.#..#....#####...###..##.###......#.########.#.#.####..##...##.##..#...##################..##....#####.#...##..####.#.##.....#.#..####......##.#.#..####..##########...###......######################.......########...####..#########.###########.####
..#######.###############.......######........######.....#.#..###....##..##..####......########.#...######.#.#.#....##...###.###########.###...###.#.######....#.#########.##.....###.###.........#.###.....#.###.####.....####....#.##########################..##..#####.......#########.#######.###.#..##
##...##...#####.#....#.####.....######....#..######.#.....#.#...#.##....#......##.#.#..########..#.##########.#.###.#.#..########.#.#####.###..#..##..####..#..##############....#######.....#.....####..#######.#####.#.#.........######################....##....##.#####.#..#..################...#.##.#.
#..#.##...#####.....#.##......##.#####..#...#.#.####.#..###......#.#..#.............####################..########...####.#...###.#..#####...#..#.###.#####.#.###############..#.#####.#####.##########.#....#.###....##..##.#.###.#.#########...##############.#.###..#####.#....########.######.#..#..###.
###..#....####...##.######.....#.####.#.........#...##..#...##..#####.......#..#..#..################....##########....#.#.....#.#.....###....#..#.#.#######...#.###########..#...######.########.######....#.####.##....####..###...#########...###########.###..##...##........###.#..######.####.......#.
...#..#.#..##.#...#########..###.###.........#...#.###..#....#.#.#..#.......#...#..###...############.###..#..#..##...........###.##..#.#.#....#.##.##########.#############.##..#.####...###############...######.####.#.#.#..###.#.#########..#...########..#.#.#.#..#..#...##.###.#...########..#.#....#.
.....##.#####.....#.#########.###..#####..#.####.#..##...#...####.#.#....##.......#####..###########.#...#.#...#.....#.........####....##.#.....#.###########..#.##..#######.......##.....############.#.##########.###.####...#......#######.#.....#########..###.####..#.###..####.##...###.####.#.......#
.#.####.#####....################...#.##.##.#.#.#...###...#.#.####.#....####.#.....####.############..#..##....##....#........#...#..........#.###.############.#############..............######.#.#...#.##################......##########.##.....#.######.#.##...###.#.###..#..#.##..........#.##....####
..####.#.#.#####....##########.##.#.###.#...##.....#####.#...#.##..##..####..##..#..#################...#.....#.#..##.###.#...##############...##.###########.#..###########..#..#....##..#..###.#..........######..####.#.#..#...####.#..##.####.#..######....##......#.##.#......#.##....#.#..#..###.#.#..
...##.#....#.#.#.#.############........#......#....####.##.####.#...#...#....#.....#..##.#########.#.....#.##..##..###.#...###.###.#########...#.#############.#...###########.###....#..#..####.........#.######.######...#.#..#######..#..#.#####.###.##..#.#.##...#####..#..#........#.....#.##....#.####
...##....#...##......###########.#...##....#......###..##....#...#.......#..#...#....#.#..#########.#.#..#...##.##...##.#..##..##..##########....############.......########.#...#.....#######.##..##.##.####.##########....##...####..........#####..#............##.####..##.#...#..##...#.####......#.###
..#.#...#....##.##.#.##########.##..####.#.#..............#..........##......#....#..###..############.###..####......#.#.#..#.#..#########....################..##.#########..........####.#.##..##..######.#.######.#.#.####..####..##.....##########...#..#......#######..##....#.........#######.#######
#.##...#....#.#####..#####....#.##....###....###....#####.#...#.....##.##..##.#...#####...#########.....##.#.####.#..####..#####...##########...#..############..##.#####..........#...####.###......#######..##################...#.####.##..####.#####...#.#.......########..#...###...#...######...######
.#....#.#...#.#####..######...#......####...#####..####.#..#....##...####..###.#.#...##....####.....#...#...##..#....####..#####...##########.......###########...#.#.##.#.#...###......#...###..###..####...#########..########......###.#.######..#.#...#..#.#.#..###.#..######.####.###....#######.######
..###.#.......#####..#.###........################.####...#..#.####..###.#.##......#...###.#.#....###...##..#.#..######.#.###......###########.#..##############...#...........###.#......#.#.#.#.##..###....#########.########.##.....##...#.###.#....#.#.........#...#...#.########..........#####.#######
.#.#...#.....#..#......###...#.#...#############..#####..#.##.#.################..##...#...###......##.#.....#....#######.#.......###########..##.....##########...##......#.#..###...#.....##...##.##.###.#########..#.##########.....#....#....#.........####...#..#.##.#..#########.###..###.###..#######
.#.......###.........#..#.#...###.##############...#####....##.##..############.###.......#.....#..##...........#..########...###.#########..#.#..##..################.##.#.....####...#....#.####......#.#.#########..#.#############..#..##..####.##.#..####.....#....#...#.##########....#######.#.######
.........##.#######......#...####..############..######....######################....#.#...#.###.####.#...#..###...#######.....##...######..#..###...##############.########.#..##..#.......#.###........###########...############....###.#.##....##....#####.......#......#..#########.#..########.#######
..#.........######..#..#.....#....##########.#...########..#############..######.#....#.#.....######.....#.#....#.#######..#.....#...######...####....##..##################..######.........#..#.........###########..############...######.............#..#...........#..#..####.###...#...###############
#.###.#.....####.#.....#..#....#...#########.......####.#..#############...#####.#..##.#..##.#######....#...##.#..######.......####....#####.##.###..##.#.##.######.########.#.##...#........#######......#########....##########..#..######.....#.#......#.#......#....#..#.#####.......#..################
######......######.......##..###.################...###...######.##.#...#...#####...##################..#.#.###..#######.......######.########.#########......#.#..#.########.####.#.#.#..#.########........###.###.....##.#.#.######.######.##.##..##..#.#..................######......#..################
########.#...####.#........######################...#####.######...##..#.#..#####....#######.#########.##...###...##............##.#.####################.##.##.###..############.#####.#....#######.##..#.#.###..####.#.##....########.##...#.#.##..##..#..###.##....##...#.#####..###...#.################
#####..####..##.#..#.#..#..####################..###############..#.........#####...#######..##########.#......#..####........##..#.....###...###############.#...##############..####....##########.###....###..##.#####.#...#########....#...#..###.##..........#....###.#######.#..#..#.###############..
#####.....#.####...##.#.################.##.###...#######.############..#...#.#.##.########.....######.#..##.....#######.##.......#.#########################....#.########.##.########...########.###.###.#.#...#.##.##...##########.#.#...###.#............####...#.####..#######.###......#############..
#####....##.####..##.#..################.#####.###.####.##########.###.##..#.#.####.####.#.#...#..#.##.#......#.##########.......####......#################...##.########.#.#..#######...##########.#.######.....######....##.#.#####..#..#####.....##......##..#.....###.#######..###.##...###############
#####....######....##..#####################..#..#####....####.##..#...#.....######.##.######...##...#..#....#.#.#########..#....####.#...#.###########.##....#..#..#######.#.#########..###########..########.#....#.###.....###..#...##...####.#...#####.#..####......##..#######.###...#...##############
.####.##.########..#.#.####################.##..########.####......#.##...##.###############.#.....#......#.##...######..#.....###.#.##.##.#.##########..#..#####..##########....######.############..######.#.#...#.###...#...###########..####.#......#....#####....#####.########.##.#.....############.#
.###..#.#.#####.......####################.####.#############.#....#.....###..#########.#####.##...####..#.#...###.#.#..#.##...##.......####..########.####.#################..#.##.###.########.....###.######.....###.#......############..#.##.....###..#########..###########.####.####...#########.#.##
....#..#.#####.##....####################..###########.###........###.#.#..#.###############....######.#..###.....###..#..##.#...##.....####..#######.######.############.#......#####..#######....###.######.##..#..#.#.#.#....##########...#.###.....##...#######..#######.#..#...#...#....###.##.##.#.###
..#..#.#####.###...######################..########.#...###.#.....######################..##....########....#.....########........##....####....#.#########..############....#...####..########.......##..#....#..#.##......#.#..##########.#.######....##...####..###.##...#..........##...###.....#...####
......####.....#...###################.########.######.##..##...##.########..###########.#....##########.#..#....#.#####....###........#.###....#####.####....############.###..#.#...############.....##.#.#......###....#.##.###..#######..##########.#.....####.###.##....#..#.....######..#..........#.#
.#...#.#...##.##...#.###########.#######.#####.#.#######...###...#########....#.#########.....###..#######..#..#.#..####.#..###.#...##...###...###.##.####..#.############..#####..#..###########......##....#.....##.##......#.##.#################.##..##...#....#...####.....####..######.#..#.....#.###.
....#..#.##.###.#.##########..###.######.###.#..#.#######....#...#..######....#########..#..#...#...#..######.#.#..#####..####....#........#......###.##.#.##..###########...##.#....##########..##.###.#.....#......##...#.#..#.##########.##########.....#..###.......##.....##.#..######..###....#...####
.####..#......##############........#.#..#.###.#..##.##..#.###.#..##.####..#...##.#####............#...####..#...########..##..#.#....#.#.#.#.####.###.#.#..##.######..#####.###.###..#############..#...#....#.#..###..#....######################......#.#....##..#...#..#..#..#..#######...###.##.#...###
#####........##########.####...##.......#..###..##..###..####...####.###.#.##..####.##..........#.###..##........#..########..#######......##....#.....###.....#.#####..#####..##.#....############..#...#.#.#.##.######.#....#######################.....#...####..##.......##.#.###.#.#......###.#..##.##.
###..##......###########.##.##...###....######.######.#.#..###....#...#...#..#######..#......#.####.#..##..#.##...###.###.#..#.######..#.#####..#..#........###...##########...######.##############..........#..#.#.........#####################.#..#..............#.......######.#..#..#...#...###.#.#.#.
####......#.############.#......#.#...#...############..#..#.#.#..##..#####.#..######.#..##.#########...##...####.....##.##.#.##.#####..#..##.##.###..#.#..###..##.#..#######...####...#############...#...##........#...#....################..###.##.#...#...###....#..#..#.#.###...#..#....#########..#..
####.#.....############....#....#.#.#.#######.#######.....####...##.....##..##...#.##...##########.###.#....###....#..###..####..######..#...#..###.###..#.#####.##...######....#####.####.########..#.....########...#......#################.######..#.###.######.#...#.#####..####..###....########......
.##...#..##.###...############.#.##..########..####.....############.#...######............###########.####..#....##.#..#......######.#####.#############...######...##....###.#...#.####.##....####...##..#####..##.#...#..##############..##..#.##.#...###########......#####.##.##..###...##########.....
#.#.....#..######..##############.#..#######..####.......#.#######..#.#...#####....#.#.#...########...#..##..#.#........#.#.....##.#######.############.#..#.#####..########..#.#.######.#.###..###......#.#..#...#.........#.############.....###...#...############...#..###....##.##.###.#########..##...
.....#...#..#.###..###############..######....#######..#....##########....######.######....#.####.##....#####.....#........##.############.#############..#.#####...#.##.##.##......#####...##...#.#..#...##.##.####.##........#..#..#####.#..#.#..####..###########.##.##.###....#...#.#############.######
..##...##.....#...#########################...#.####.....##.#############...###.#####........###....#..####.#...##..#..#..###..#.#########.#############....#####..#######.##.###########.##.##..#...####.....#.###.#..#.#.......#..#######.......####..###########......##.##.........#####################
..#....##....####.#.##########..###########.##..######.#...##############....###########.....#..#....#.####...#..######..######.##...###..################..##.##...############..####.#.#.#.#.....####..#.#....####..##.##...#####..#####....##.#####...########........#.........#..###########.##########
.#...........##....##########...#############..#..#.###...#.##############.....#.####.....#.......###..##..#...#..####################....################..#.#....############....##...###..#..#.#......##...#..###.#.##.##.#..#.#..###........######.#.######.##.#...###......#.###.###########..#.###...#
.....#.......#..#...####..###.###############.###.#...#####.###############.#..#.#####...#.#..#.....#...####...#...####.##############....################.#..#....############....##..######..#.#.#...#####...#.######..#..#.######..####.......#####.#..####...#.#.#.......###.##..#.########....##.###...
....#.###....###..#####.#.###.###########...###########..#.#.#############.#.....#.###.........#....##..#####...#...###.###############..################...###..#.###########...###..###.##......##...######.##########..#.##..####.#.##.........#####..#####..#..##.#....#.####....#.######..#..#.##.##.#.
.......#....#.##..###.....#.#..########..#..######.#####.....###########.#...#.#######.........#.####....####.....#####..##############################..#.....#.#..#############.#########.###..##.......##...#######.###..##.######.####.#...#..##..#....##.######.######..........#.#####...###.####...#.
..#..##.......##.#####...##.#..#########..########.#####..##..##########...#..####.#####.......#.....#..#.##.......####################################..............###########...#######.......#####.....#.#..#.#########.##..#####..#....##.#..####..##..######.#.#######..####....#.#..#.....#..###.....
.##..........####.######.........#####.#..########.#######....##########..##..########.#...###..###.....####......####.#.##############################.##....#...#..#..#########..#######.........##.#..........##########.###...#..#.##.#.......#.##..#....#######.##.####.#..##..#####.###..###.####..#..
.....#.##...##...######.#.##.#...####.#....########.#####.....#####.####..#.######......##..######.#..#.#.####...####.....########################..#####....#.#.#..#.####.######.....####.......#...#.#......#.###########.#.####.....###..#..#..##.##...#..#.#####..###...#..####.######.#.#.###..........
..#.##.#.........######.#.##.......##.###.######....#####.#..#.#########.##########...###########..#.##..####...##.......#####################.##########...##.######.#..#######.#....######..#....#..###.#..#.##..###############.....#####.###########.#..#..####...#.#.......#..###.###.#.######.##.#....
.....###......#..###.##...##...#...######.#..#...#....#####.############.#########...#############..###.####.........###.#.############...#####.#.#.################.#.....#####......#####.........###..##..###...###..##.#######...##.####.###..###.#..####..##.###....##.#.###.##.#####.....####.#..#...#
.....##......#.#.###..#..##.#......#######.##....#....#####...####################..###################.#..##.#....#..###...##########.......#..#.#######.#########...#####.####.#.....#####..##.#.##.#..###.##......##.###########.....###########....#.#...#######.##..##..#.#.##########...###......##...
..#.#.##.........#.##.###.##..#.###########.#.#.......####...##############..###......############.#.#.#.###........#.....#..######.#........###.#.#####..#.########.####.#.###........#......#...#.##.#####.##.....##...#########.#..###.#########.#......##.#######.....#.###...###.#####...##....#.#.....
....#....#....#....#.#####.#.....#.########....#.####.###....#############.....#......#############.#....##..#...#....#.##.##########..#.#.#.#####..#.###...######.#..###...#.....#..#######..#..#####..###.##########.#...#########.#.##.###############.##..#######...##...##....##.#...#.##..####..#.....
.###.#..#....#.#..#.#####.....###.#..######.#.#####..####..#..#############.#.#.#.#...##############.##.........#.#...#.....#######.....#..########..##...#.#######.##.###.....#...######.##......###.#....#############....###########..#.#####.#...#...#.#########.#..#...........###.....##.########.##..
.##.##.#....#.###...#######........#.######...####.#.##########.#..###.###.#..###.....#.##.#######....#..##...#..#.#......########.....##.########.#...#.....#####.##.##..#.......#######.#.#.....#.#####.###############..##.###..####.#..#####..#.###.#.#.#########.#.#...#.#.....##.......###.###.#......
.###...#......#.#...#####.##.....#..#.#.#.#...#####..###...#######.###.......#......#....#######..##.#..##.#...#...##.....##########.###.#########......#..#....##.#.......##..#..#########.###.#########.################..#####..######...#....#######...##..###..#..##.#.#.#.##...#......####.#.##.......
#####...#..#.####.##############.#....##......###..#...#..#####..#.###......###.........#########........#..#......#...##########.###..#############...########....#...####.#..#########.#####..##.....###################.#.#####.##.###...........##.#..##.#......###....#..#.............###..##.##......
######..#..#####################..#..##........##...........#####..###.#....#.#.#......#.###.....##.#.....####.#...#.#.########..######.#########...####..####.##.....####..#..#########.########.##......############.####.###...#..#...##..##.#.#.####.#....#...#####......#......#.###..###..........##..
########...####.######..########.........#......#..........#####.######......###.#.##..#...###.#.#.###.#.....#...####..########..#####.##########...#.##...##..#.###..#######.#####################.####...###########.####..###..#...###.###...#.#.##...##......#...#.........###..####.###.##.....#..#...#
######.#...####.#.###.############.#....#..#..#.......#...##############.....######.#..#...########.###...#.###..###.########.#..################.##.#.#....#....#######..##...##########.######.#.....###.#####..###.##.#....#...#...#.####.....#..#...#..#.#.#.##.#.#...#.....#.#######.##....#...####....
####.#....#.#.......##.#.##.#.##...#.......#...#......#...###############.....###.#.#.#...##..#####.#...#....#.###...#####......#....###..######..####........#.##############.################....##.###..#####.####..####...#..##....##.##.....#.#####.......#..#....#...#...#############.#....###..##...
#####...#.#####.#..########...###.###.#.#..#...#.....#..#...##############...#.###.#.###.#..#...###..#..........#####.####.#.#.###........#######..###.#.#.#...########..#.#..######.###.#.####.###.######.####..#.#.#.##.##...###....###...##.##..#..##.#.#........#......##....#############.....#..###...
.####....##########.#####.#.#......#####.#....##.###.......#################....####....####....#....#.##.......##.#...##...###..........#########.#####..#.#.##########.......#####...##...##..##..#######.#.#..#.####...###....#..#.##########..#..###..##.##.###.#.............########.####.#...........
..###..#.#####.....#####..####.#.######.#...###...........#.##.####.#######.##.#####..#####...###.##..#.........#..#....##.#...#...###..#.##...#.#..#..#.###.###########...#.#.##..##..#.###.#....###########.##....####.##...##...##..##########.....##.#...###.###..#........#.#.#######.####..#.....#....
.....#.####.#####..######.####.###.#.....#..#...#.....#..#####.....#.####.#.....##..#..#....##...##.##.#.....#..#.####.......###.#.....#......##.#..##..##.#..##########..#.##.####..#...###.#.#....###..##..###..#.##..#.#...##.#.#..#########.###...####.###.#####.###...##.#...#############.#.#.#.#..#..
.##.##.#####..#..####.##.####.##..#.....##...#...#..##..######......#####..#....#######....#.....##..###...........#.#......#..#.....#.......###..#......##....########...###....####.....#.#...#..#..##......##.#####............#..##############.######..##..#..####.#.#...##.###.####...###..##..#......
.###.#.##..#.##..#...#....##.#..#..#...#.#######.##.###.####..#...#...#.##..##...#####..........##....##....#....####....#.#...##.#........#.#.##.........###..##########.....###.##..#........#.#..###....##########.#.##.#....#.#...#######.#.##....#.#..#.#.#...####........#####..###.....#.##..##.#...#
###...#....#....#.....##...#####.###....#########..###..####..........#.###......####.#....###..###..#.#....#...#....##......####.....#.#..#.###..#......###....####.......#..######........#..##..##......##########.#.####.#.#...#..#######...#........#.#.#..#.######..#...####.#.######.#######..##..#..
#####..#..##.####.#.#..########.######...########...#..#.######..#......###......#######..##.#.#.##.......##.#...##..####....#.###.#.....##.##.....#.#...##......#......##.#..#.#.##.........###..##.####.############...###..####.#.#######...#..#..#####........#.#.#......#..#.##.######.#..##....##..#.#
###..........#.####.#.##########.#.##....#########..#######.###.#..##...#.##.##.#######.##..............####......#.#####...#######..#...##.#.#.#.###.......##..........#######.####..#.......#.....##################...#.#....#####.#######..###...#####....#...##.###...#...#.#.#####..####..#...#...#...
.##...........###.#.....#..#.##..#..#.#.#..###############.#....##.#.##.....######.##.######..........##.#.#......########...######........#.###.###......#.####.#......#######.##.#....#....#.....######.#############....#......######.###..##.#...##..###......#.########.##############.###.......#..#.#
####...#...#..###..#.#.##.##.#.....#.###...#.#####..#######...#.#..##....######.#.###.....#.....#..#####..###.#..##########.#######.......#.######.##....#..######.############.....#.####..........#####################.........#####.#.####..#########.#...#...#.#.#...#################...#........##.#.
#.#...##.#..#.###...###..##.......#.###############..######..##.#####.#.#.#####..#..#.....#.###.####..####.#.....#########..#########..#....##.##.###....#######.##############...##.#.##.........#..###################.#.....##.#.###.......#.####.#.##..#..#############################.#.#...####...###
...#....#.######........##.....#.....#....######.##.######....#.####..#...#####.#.....#...##.###.##.......#......##########..########.###.#.##..#.##....#.#.#####..###.########....#####..#.#....##.####################....#..###.#...#....##..####..###.....#########.##############.####..#..#..#.#.#####
..###.####.###..##.###.##..#......#...##########.#....#####.....####....#########.##....##..###.###...##.#.#..#..###########.##########.#.###...........#..#....#.......#####.#...#######....##....####################..##.#######...##....#######.#.#......###########.############.#.#..#........########
.###########...##..###..#######.......#.######.##....#..#..........##...#.#########.........##..#.#..######.....############....####..#######.#..#.#.#..#......#..#..#.#.##.###....#######.....#....####...##########.##########.##........#...##.#....#.#.#############.###########............#...########
###.#########.#..####..######....#.....######.#....#.##...#...#.....#...#..########........#....#..#####.##.##.##############..#####..#....#####....#.........#.#...##...###...#...######..#..#...######..############..#########......#.####......###.#..#.##############..#########.........##...#########
####.#########...######.#######......#..#.##.#...........###.....####......########.#...#.......#########.#.########################....#.#.#####..#####...#...###.#...##.###....#..#######.#....#..#################.....########....##...##.....###....#.#####################..#...####......#.##########
.###..####.###..###############.##..#.....##..#..##...#.....#.#.######...##.#######.#...#.#....#.######.#.....##############.##.####.....########.####.##.#..#########.######......#.##.##....#.##..#.#####.#.######...#..########.....#.#....#..##.#.#.###..###############..####....#.....#..#...#######..
#####..#..##...################...####.#.###.#.....######..#########......########........##.#########.#.....####################...#.#..#..####..#..##.###..#.##############.....#.##.###......##.#...##.#.#.###.###.#..##########.........##..##..#.##.##.#################........#...#..##...#.###......
###....#.##.....#####..#######.#..######...#..#.#.#####..#.....########......######.#.#.####.#########...##..##################.##........#.....####...#..####################...#....####.###....#.#..#.#.......##..##.#..#######.###...#...####.#...###.############.###..##.....##...#..#####.#######...#
###..########.############...##.#..#.##..#.#.############....#.########....#.######....#.#############..#....#.##################.......#..#...#######....##########.##########...###########......##......####.......#.#..#..####...###..#.####...#..#####..##.##...........#.#..##..###..##.#..#####.....#
.#..#####..##########.##..###.##....#.###...###....#.#.##......#..######..##..####......#.#..###########.#..#..#.######.#######..#.#####.....#.######....######################..#######..##.....#......#.......#...###..##...###.##...##..#######...#######.#####....#.#.#..##.##.####..#..###.##.#.#....##
#..#.#.##..###########.#....###.....#.####.#...#.##.#######.#..#.#####.#......##..#....####...##########..##.#...###...#########....##.......#######....#.#########...#########..#######..#....#.##.....##....#..##########....#.#..###.#....#####.....#####.#....#.#.#....#########.#..###.####.###.#....#.
#..##..##...########################..#####..#..####..#.#..#......###.#..##...#####....#####....#######..#####.##.....#.########.###.###.###.######.#####.#######.##.#.#########.#######.###.....###..##......#...###.#.###....###...####.##.#######...#.....#..###.#......####.####....###.#..#..###.###..#
...#.#..##..#########.##..#########....####.#..####.#.#...#.#..#.#.#.#..##....###.#...#####..##.....###.....#..#..#.##.#############.###.###.######################..############.######...........#...###..##...#########..########.#####.##########.#.#...#..#######...######..#..#...##..#.#...####.#..#.
###.##..#...#####.#.###..##########..#######..#....#.#...####.#.#.########....####.#..#####.#..##.#...###.####..#...#############.##.###############################.##.#################.##....##....#.#.#.....###########...######.#.#.##..########..#.....#.#########....#.##....#...#..###.########.#.##
.#....##.##.#####...#####.##########.###....###...##.#.#.####.#...########........#...#..##.#....###.#...###.#..###..###########.....########.###############.#######.#.#######.############....#....#.#.####...##########...#######.######.############......############...#....###...###.######.####.##.#
..#.#.#.###...##.#.#####...########..###..######...##.#.########...#######..##.....#......#.......#.....####..#######.############.....#####.##.####.######...###.##############.##########..###...#.....#...###.#####..#.#.#.#####.#.#..#.....#######.#...#...########.#...###########.##.##.#.##...#...###
......##.##############.....#####....########.........##..#.####....####.#.......#...#.##.#...##.###...#########.#.....#.######.....#####.#.###...#.#..####..###.#####.....###...#########.....##.#..#..##..######..#....######...#...#.##.#############.#.###.#########..#.##############..#######..#.#.###
.##....##.#..###########.#####...#.#.##########..#.#.####.#####..#...##............#....#..####.#.....#########.#......#..######.....####...##...#....#.###..#.....###..#.##.#...#.######.....##.....#.....########..##.#.#.....####..#.####.....###.##.#.....#######...########..#.####.#....######....####
...#......#.##########...##...####...#########...##..####...###..##.........#..######....#######.##.###...#.............##########.######.###.........#..####...#.#.#....#..#..#########..#.#.#.#.....##.#.######...#..#.#....##.###..#######.#..###.#....#.#..#..###..########..#....######..#####..#######
..#......##.####.#.#####....#.##.##..#########..#..#.#####.#########.............#....#..#########..#####....#....#....###########..#####....##....#....###.###.#....##.......########...##.####.....#..#...#######...###....#..#.###.#.#######.#...#####......##..##.##########....#########...###.....####
....#...##..####..#####......#..####.#########..##########..########....#..#.###.#.....#.#########.###.###.##..#####..#.##########.########.##....#.......###.......##..#......#...##....#.#####.##.#...#.#..#########.####......#.#.#....####.#.....#.....#..###.#####..####..##.###########..#####...#####
...##...####.#...#..###.....#....###.########...##########.....####.###.#.###..#........#########.###..##.#...#####.##....####.#..#.#.#.######...##.#.#.#...#........##......#........#.#..############.#..#########..#.##........#......######...#.....#.######....###.###......###.##############....#####
....#.......######...#....#..#..############.##.############.#####.####...#...#.##....#.##.########...##...#..##..######..##..#.######.#######.#.#...####........#.....#......#..#####.#.#..############....########.######.............#.########..#..########...##..##......##..#..###############..######
..#.#.........####......###.#.#####.########....##.####.###.#####....##..#.##.#.##......#.##########....#..#....###..#.#..#...##########....######...#####..####......#..#.......#####..#...#..########......##############..........#..##########..#..########......###.......##....######################.
#.....##.#...#####.########..#..###.########.####.#.....###.#......####..###.#.##.#..##.#####.######.........#.##..#....##..####.#######.......#.##.######.######..##.#...###...#####..####...########.......##############...#..##.....#####.##.#...##.######.#...#####.#....#......##############.########
#.##.####....#.#.#.########.......#.############.#.#...#.###......#.#.#....#.##.##########.#.#######...............##..#....##.#.######..#..####.#.################..#######.####.#####.##...##.########.###############...#......##.#..####.##.#..####.#####....#..#.#..####.#......#.###############...###
#####..##....##..#..#######.#.....#.############..#....#.##.....#.###.##########.#########..######.#..#........#....####....###..#########.##..###.#.###############.####..###.#..###.#.##.#..#..####.###.##############.#####....#..##.###.##...###.#..#####....#..########...#......#################....#
...##.....###.##....########..#.##...###..###.##.....#....##......##.##.######.####################...###..####.#....#.#.#.##..#.#########.#.###########################...#####...#..............#.####..################.##....#####..#..###.#..#.###.####.#.###..#########.......##.#######....####....##
.####.######..#.############...#########..#####.#......##...##.......#..##########################..#############.###..##.#...#.##########..#..#####################..#..##..#.#..##.......##...#.####.####.##############........##..#..#.#####...####.###.#...##..##.########.##....#.#######........##.##
#..#########################.#.####.#.#...####.#..##..#..##.#..#...##..#######.##.###..####.#######################...#...#.#...#..########.#.#...##...#############..##.#....#######.#..##.###.##..#......#############..#......###..#########.#########.##...#...##.###.########.....###.##.#......#.###.#
..####.##################....#.###...##...#....#..#.#...#..........##..#######.##..#...##################.#.#########....##.#..###...###.#......#.....#.############..##.....####.....#########.###..#....#..############..#.....#..#.###.#########.#####.###.#...###..#..########...#...#...#..#..#...###..
....######################..#..###.........##....#.##.....####.##..#####.##..##.##.########..############....#########....#..#####....####.#..............#########.#.####...#..#....######.#.####...#...#..############....###...#...#############...#.####.##...#.#...##.###.###.###..............##...##.
#....######################...######..#.#....#.##.#.#....#..#.###...########.#.#.##.#.######.##########.#..#.##########..#.######.#.##.#....##.####..#.#.#.#######...##....##..#########..##.#.#..###..#..##############.####.#.......#############..##.#######.#.##.#####..##.#.#..#....####.##.#.#..#.###.
.#.#.#####################.#.#####.#.###.#.#.#.###...#..#...#..#....###########.#..#.#####.#.###########...###########.############..##....#.....##...#...#.#.#####......#.##..#########.###......#####...#.################..#..###.....##############..########..########.######...#.....####.#.##..#.####
...#.#######################...##.######.##..#......#.#.##.###.#.....####.##.###.##..#.##################..###########.#############.#..#.#.#...###....#...##..###.....#.####.##.############..###..##......###########.#.##.##...#......#############...#########################....###...#########.######
..#.#######################........######.###..##.#...###.########...####....##...#########.##############.#.#.#######..#############........#....##........#....#..#..#####...###################..###....################....###..#...###############.##.###############.#######....###.############....#.
..#.##...#########.#..#####...#.#..######.#.....#.#...##..#########..###...#.###.###...#.################....##.######################........#.#####...........#.###...##..################.#########.###########################.......#############.##...#.###.######...#########.#.##..#######.###.#..#.
.##.#.#.#########.#...#####....########..#.#.#######...#.######..#...####.#...####.#....#.#..############.#.##.#..###.##############.#.##...##.#####......#.##..#.##....##...####.##.##########################..#.#########.##.......#..#######.######.##.#..###########..##.#..#..##...########.#.....#..#
.###.##.##########...#####.#..#.#######...#.#.##########.###...#..##.##....#...#####...#..#.###############...#####...#.###########.#..#.#..#########..#...####..####....##..##.#.#####.#######################..###########..#.#..#.###..#######.#####.##.##########.###.....#....#......#########....#..#.
...#.#.####.#.###.#..########..#####..#..#...###########.###..#####.......#.....###.#...#....###########...#...#..#..#..##########..##..#....#..######.....#####.#.....#.##.###..#.###...##################################.#..###..####################.....##########.#.........#.###...#.######...#....##
...#..#...##.##.####.#######....#..#.#..#..##...###########.#########.#.#.#..########.......###########.....####.#.#...#.############.#..###############......#.#......#.##.###.#####.....###################..##############...###.###################.....##############........###....#.###########..####
.....##..#####.#####.########...#.####.#...#.#.############..#.#.#####..##...####...#....##..###########..#..###.#..#.##.#############.##############.........#....#.###....####.####..################################.#######.#.#.######################.#####..#######.##...##..#....#############.######
....######.####..##..########..#..#...###........############.#..#..##.#.###########...#..#.############.###...##.....##.############..###########........#.#.###.#.....##.##.#.####.#.#################################.#############.#####.###########...####....######.#.#.#..##.....##..###############.
#.........##.###.####.#####..#.#.##..#####.###..####.#######.#..#.###.#...#.########.#....##############...#..##...#..#.##..###########...#########.#...#.######....#..#####.#..####.##.###################################################.#############..####...##.###....##...##.....#.##################
..###..#..######...##.#####..#...###..########...#########.####.....###.##....#########....#########.##.#..#.#...........#..#.####.###...###########.#..#...#........#.###...##.##.#.#..#########################.####################.#.#...###########......#.#.######...##.##...#.#...###########..#####.
.##...#...#..#...............#..##.#..########.#.####.####.###.##..##.###.##.#########.##.....###......##.#...........####..#.#########.##############....#...#.......####...####.##....############################################.##...#..###########..#...##.#.#.#########.####.....##########...#####.#
#......####.##...##...#.#..#..#####.#.#########.##########.#.###.#####..###...########......#####.###.....##..#.#.#..#####.###.###.##.##################....#..#......##.###.####.##.#..#########################.#########.##..####...#........############.....#.##.####.##.####.#..##..########......###.
##.#....#....#..##...####...##########.#.######..#####..#.###..##......#.#.....######....###..#.####.#.###....###....#########..#####.#################..#..#..##..#....###...##.......#########################.#########.########....##......##############.....###.####...######.#####.#######..#.....#..
##....###......##.............####..##.#.#############...#.##.##....###........######..#..#.#...#..#....#..#..###..#################..###############...##.###.....#......#..##..#.....#########################.##########.#######.###.##...##.###########.#....######.#..#..###...############....#.#..#..
####.##.....#.##..#####.....#.#.###..#..#############..##..########.####.......#######....###.....#..#.....#.......##############.##.################.....#....#.....#..#....##.....##..#########################.######.##.#######.....##.......##########..########..#......####.#############...###......
.#..##..#.##......#######.....#####.#...###############.#..##############..##.########...####.#....#.##....##.##....###########.####.###############.......#..##....####......##....#############################.###.####.#######...#..#...##...#####.#####.########...#.....###.######################....
#..###....###.#..########.....#.#....#.#.#################.################.#.######.....##..#..#...#####.###.....##.##.####.#.##....##############..##....##.###....###.....#.........#.########################..####....######............###.##########.########.#.........##.######.####.######.##.....
##........#.###...########.....#.#.##.###.##############.######.###########.###..####....##.##.#....####...#.....##......###.##.....##################.###.#.#####..######.#######...#..########################...##..##..#####.#..#.##...#.#.########################.#.....##..######.####.#.##########..
#....#...###..##..########..##......##....##############....#..##.###################.......###..#..####.......####...##..#...#......###################..########.#####...######....#..#..####################.....#..###.####.##...##.........#######################.###...##..#############.##.#######..
##.##..#.##.#######..#######.#.#...##.##...############..#####....#####..######.#####.....##.#...########....#############.#.###.##.#..###############.#..########.####..######.........##.#####################......##.....#####.#.#####.####....#######...###############..#...############.##.##########
###.##...##.###############....####..##...##########..#######....##.#..#.############.#.......#..#########.#.########.##..##.#.........###############..###########.#..............#######.#.################...#..#..##..##..####.#.#.########...##.#######.###.###########.#####..##..######.#############
.###....#..#.#####...####.##.######....###..#####.......######..#####.#.#############..#..##....#########.#..##.###.###......#.##.....########.#.###.##.#####.#######..........#.#.#######..##.##############.#...#..#.....#........#...#########.#.#.#####.#....#########.#..#.#.########.#################
#####.#.#..####.##.##.####..#.####..######.#.#.##.###.....###....#.###..#.##############.#.##...###########.#....###.##.##.##.#..#...##.#...#..#..#....#.#####.#####.#.....#.#.#.#..##########...############......##.......#.....#.....####.#.###...#.##....#...#########.......#######.#.#################
###..###.#####..###..##..#################..#.#..###.#....##..#.#.....##.###########..#####.....#######..#.#...#.##...#.###..#.#......#.......###...#...#.###..###.#......#...####..##########..##..#.###.#####.##.###..........#.##......#.####...##..#..#.......#########..#.#.###.#########.#.###########
.........#####....##.#..###################.##.##.######...#.####.....##.###.#######..####...########.....####...#####.##....###.###...#...#....#...###...####.#.......##.##.#################.####.##.#...##.#.#######......#............####.....###.####.#.....##########.#....#...#########..###..######
........#######....#.#.#.#########.#########.##..#.####....#...#####.#..##########.#..######..##########..###...#.######.....####.#......#.#..#.##...##.#..#####..##...##..##.###..###############........###..#########...##..............##.#..#..#.###.##..#.#.##.#######..####.#.###########..##########
...#...########....###..#.########.########..##..##.###.....##.######..############.#.###..#...#.####.###..###......#.....#...#.#....##.###..#..#.......#...##.#..#.......##.###..##################....##......########..##..#..##......#######....#####....#.....#.###.###..#.#################.#.########
#.#....#########.....###..#########.#######..#.#.######.#....#..###.###############..######.##.###.#..#..##.#....#..#...######.#.##..#..##.##...#.....##.#####..##...#....#......#############.######...#####..###########.###...##...#.#.##...#.....#######...........#####...###########.#######...#######
####..##############...##.#######...######..#..##.######.....#.##....###.####.##.###........######...#......#........#.#.###..#..###.......###.......####..##.###.#.###.#.##....###############..#.###########.#.#####....##.##.###......####...##...#######............#....#.######...##.#######...#.#####
###..##############......#.#.####.....#####...#..##...###...#..#.##..#######...#.#####...#...#######......................##.#..####...###.####....#.##.##.###......##.....#....###############....##.########.#..#####.####.#.######....###......##.###...##..####.......#.#..#########.#..#.#..#...#######
....###############.....###.####...#.#.#.....#.###.......#...#..###.#######################..#######.....#......###..###..#....####..#.##.#####......#####......##....#.........############.#...###..#######...#....#........########..#.....##....##.#...#.#..#....#.....##.###.######.####.........######
###.##.############.#.##.#####......###..#...###.#..##......#..#.####.##############################...####...####..#..#..#..#.....##.##....#.##.####....##..###.##..#..###.....###########....###...##.######..#....##......#..####.#.#....#..#####.#......#...#...#...###....########...#..#..##...#######
.#.###..########...#.#.######....#####...###.###.##...##...#########.########..#####################..#.....####.##...####...#..#...###..#..#......#.....##.#######.#####.##.....##########............##.#..##......###......#.######.#.#....#####....#.#...#.#####..######.##########..###..##.##....#####
.##..##...##...####.###################.##..#######.....#####...###..##########.#######.############..#......#.##..######..####..#........##......##...#.###.######.#.....###.#...####...#...#....###.#####.#####...##.......#.######..###......#######...#.#.#.#.#.#.....#..##########.###....##.#.###.####
#.....#....#....##.....#######.##########.#########..#.#...#.#.#.##....####....##########################.....#####..#.#.#.###....##...#...###.....#######.##########...##.#...#..#####.#..##......###.####.######...#...#.....#######.##.#.#..########....###.#...#..#...##......####..#......###..###..###
##.#....#.#.....#.....####################..#######.###.#.######..##...#......#.######################.#.....##..#####.###.#.#..#.#...#.#..#.##....##..###.##########....#.#..#...#########.#......#######.#######...................####.....#########..#...###..###.#..##.###...####.........###..#...##..
##.....###.#....##.######################...##########.##.....#..........###...#..#.#..##################....#.#..#.#..#.....###...##...#...##########################.#.#..#.....#######..##.#........####.#####....#....###..#...########.#.############.........####.###..##..#####....#...#.#....#......
.#.#...#.####....#..##########..##########...#.#####.........#.##.....#..#.....####.#.####################...#.#.###...##...###....##.#..####.#######.#.###.#########....#...#....#######.#...#....##.#####.#######.....####...##.########.....##########.##.......#....#.######...##....#..#....#..#.##....
..#....#.#....#....##..######..#############.##.####........#....#...#.#...#..###....#..###################.#.#..#...#.#.....#.#.#####..#.###########.###..###############..........#...##....##.....###.#######..#..#.#####.#...############..#######.#.#.#.##......##.#..###......#...#.###.#......#......
.......#.##..###..#..#.####....############...#.####...#....##....#.#...###.....#...###..#####################.....##......#..#.######.##############..####.###############...##.###.#..#.........##..##.##...##..#..##..###...#.#.######.####..########.#.#.###.#.#####.####.#.........#..###.....##..####.
###....####..####.....#..#....#.############....#......##.........###....##..#.....###....####################.....###..#..##..##..##.####################...#...###########.......##.##.#.....#####....#.##.##....##.#..####.##..##########....#.#####..##.###.......###.####......#.#.##..#.......##.####.
.###..#######..####.....#.###.##...#########..######.#..#.....###.##.#.#.####......####...######################..........##.##.......#.##.###############..###..##########........###.#.##....###.##.#..###.###..#......###...#..##.#########...#####..##..##......#..#.######.##..##....###..###...#.###..
.#####.####.#.#.#####..#..#...##...###...###.#########.##.......#.#####.#.#.##.###..####.####.####.#############.######...#####..#..#####..######..##.#.#...##.#############.........##.##......###..####.#####.##..#...#####...#...########.....#.#..########..##......####.#####.....##...#....#..#.##.###
..########......#########.##....#...#..#################.#.#.###...##..###...#.#.#...###.####.#.###.###########.....#...#..#########.##############....##.#.###.##########.#......##.#.#.####....##.###.#.####.#..#####...##......#.#########..#....#..#...###....#..########.##.##...####..###.....#....###
#.########.##..######.##..#.#.......#.....#..###########.########.###..##...#.###.#..##.#.###..#..#.#########.#.##.#....#..#####.#######.#########.#...#.....##.#########.........#####.####....#...###...###..##.##.#..#..##.#.#.#..#######.##.##...#.##...##.....#####.###.##.##...#######.#####.......###
..##########.#..######..###.#..#..#.##.#.....###########################.#.##..##........#####.##...###########....#.....#....#.#########..##.#.###....##..##..###########...#..######....##...#######.##.###..##.#..#####..########.#######.#...#.#.###....##.##...#########....###....###..#######.#.##...
..##########.#.########.....##...#.#.#.#...######################.#.#.###...#...#...##..###....#.....##..####....##.....##.....#########......####.............##########.##.##########..####..#####.......###..##########........#.##########.######.##########.#..#######.#.#..#.....###.########...#.#...
.############.##########..###.##..#.###..#..####################.##.###..#.....#.##.#.#.####...#........#####.#####......##.##.....####.#.....#.###....#..###.###############..######.#.#..#...####.#.....#####..##..######.....#..###################.###...##..###..####....##...##.#######.######.......#
...#####...##################..#..###..#...##################......#..##.#....#..##.##.#.##..............#.##########.....###.##.#.#####....#..##.#..#.#..###.###########......######.###..#.#######..#....####.##..#######.#........#############..##.#...#.#...##########.#.#.#########..##.###...#.#.....
..#.##################...####..#...##...#....##############..###....##..#....#......###.###....###.....###..########....#########....####...##....#.#.#################..#....#######...###..#########.#....##...#.#.#######..#.....##############.#...###.##.....#..########...############.####......#..##
..#######.############..###.#.#.....#..#......#############.......######.###........#.###########.##......#.#########.#.###########...###..##.#..#.##..###############..#.#...############..#..#######.##..#.#....##.#######.........############...#....####......#..######.#.##############.##..##.#.....#
#...#####.#...########...#.#.#.#...##.###..#.################.....#############.....############.........#.#.#######.####.########....###########..#.#.....###########.###.##..############....##########..####...#.#######..#..#...#.##.#######..###.....###..##.##..#########################.#..####.###.
###########.#.#....######.###...##.#.#.....###.############.################..#...#...#####..#..##..#..####.########.##.#.#########.#.#.#######.......#..#.#.#...####..#.#################.#..###########..#######.#.######.#.###..#...#############.###.###########..######.######################..######.
.################...#.##.....#..##....##..##.##################.############..##.....###.#.##..#.###################.####..####################.####...#.#.#...######.##...########.########..#.##########.#########.######..#.........########.########.##..########...####.######################.#.#.#...
###############....#.#####.#.........#.......###############.#..#######.###...#.....#.##..###..#.##########.#.###....######....##################..#....#..##..#.#.#......###..##.############.##.####################.#####.##...#.#.########.##.####.####..#.#####...####...#######################.......
.#############..#.##...#.##.#..##..##..#....##############################.#...#...########...#..#.##########.#......######...##.##############.....##.....###....##...#..##.###..############.#...##################..#######..#############.#..#####..###...#..#...#.####.....#####.###########.#.#...#.#.
.###########.#.#....#...#.##.#.###.....#.#.#.##.###.#########.#.#######.####.......##.#.#.##...##..##########..##.....#########.##########..###...#..#..#######...##########.##..###########...#..###.#..###########.##########################..####..###.....####.##..###.#########.###########..#...###..
.###########.......#..############...############...########..#..#.#..####.#.#...#.....##..#...###############....##..########..######.#######......#.##.#######.######.###################.....#######....###...####.##########################.##.###..##...#####..#.######.####.##.###########......####.
.############......###############.....###.#.####.##..######.#...###...##.....#.###.....#.###.#################.####..#########.######.######.....#..##.########.####.#..######.####.....###.####.####...........#...##.########....#########.###.##.#..####....##..#.#########...#....########.#......#..##
.########.######..##################..####..###########.####...#..##....#....####.....#..###.#..###.###..######.#####.##########..###.#####......#.#.############.#####.#####..#####.#.##..#..###.####....##.####....##.########.##.#############..##########..#..#..####.#...#..###.....###.##.#...########
..#.#######.#.#...############..##....#..#.###...#####..###.###.#####.#.#....####..#.......##....###...#.#####.#..##..####..###...####.####..##..###..##########......###.#.#########.#####.#.########..######...####.#########.#....########.#....#############.###....##.......##.......#.#...###.########
...##.#####.....###############..#.###..#..###...####.#..#...#.#..########.#...........########.##..###########....#..###.......#.###########.....##...########.#.......##....############.#########.##.##.####.#######.#########...#..######.....###############.#.#...##..##..####......##...#####.#######
..####..###.....#.##############...##..##...#.#...#.#######.#.#.##.#.##..#...........#..#.#####.##......######..###...#####...#.##.########.##...##.#.###.#.#..#..........#...#############.###########.#.#####.#..####..###.#..#......######...###.###########.#.#.#.......#.....####..#..##........#####..
.###......#..#.#..####.#####.##....###.#...#....##...#######..###.#....#..##.............##########.#########.#.##..#.##......#.#.#.#####..##..#.##.####.##..#.#.##..##...#..#########################...#######..######.####.........####.###..###############....#.##...#....######.#####.#..#...########.
.####............#####.###.##..#########.######..###.#..#####..######.#.#..#........#.########.#.#....#############.#.............#######.##..###...###.##...########......################.############...#####......##...###...#..##..#..#..#.###.############....###.####..###########........####..###..
#####...###.##..##.###.###..##.....####..####.....##..#.############.##.#.#.....#.....#######...#...#.###########.....#.....#.###..#####..###..#######..##..##.#######....#.##..##########..###########....#####......#...###.##....##.......#.####.#########..##..######.#################.....#.########..
#.#.......###....#######.........##.#.######...#.#####...#############...#...#..###..#########.###....########.##.....#.#....###..######....#..#####.#######...#######.###.####..#####################.#...######....#......####...###.###....#.#.#...#######.#...###.###....############..#...#..#####.#...
.#.#......##.#....###......#..#.#...#####..#....#..#..###..###########...#....#.#.....###########..#...####..#.###.....##...###...#####..##..#.##.....########.##############....##.################.#.##.######.#..#.###......##.#.#.#.#...####.#.#.#########.......#####.##############....#...####...#.#.
###....#.......###.##.#....##.......#.#....##..#......###..############....#..........###########..###.##...#.##........##..#......###..#.#....##...##########.###############.##...#####..#######...#..#....####.#..#..###....#...#.....####.#.####.#########.....##..#..################...###..####..#.##
#....#.......#..###..#.####...#..#...##....###..##.######.#############..##.....#.....###############..#...####.#.............#.##########....#.....########.###############...#.......##.################..#######....##..#....##.##.....####..###.########.#.....##.#..################.....####.###...##.
...#.##.#..#....#........#.#.#..#......#..###.#..#######..##.####.####..#.#.#..###....#################.#.#.##...#..###........########.#..####...#.########...#############..##..##...###################.##.#.#...#...###.##..#.#..#....#####.#.###.####..#...#.############################.#..##...#.##.
##.#########......#...#.#.##.#.........###########...##..##.#.#.#..#.......#..##.#....##########.#####....##########........#.#########....####.....#######..#....######.##.####..#.##....#.###############.##.###..#..#....##...#.#####.#####.###...#####.########..######################.......###...####
#...########..#...#..###.#.####...#...#.######.##......########.##.#.........###..#.#####################...##.....##.....#######.######..#..#.#....######.#..#....###..########.#.##.......##.###..######....##......#.###.#.......###...######....#..#.###..#####..########################...##.#.#...###
##.###########.#.#..#.#.#..#####..######.########....##########...#......##..#.###.##..####################.....#######.####.##.#.###.#..###........###.....#.#........#.######...#####.....##.#####.###.#..#..#.##........#.#......####..#####....###..#.#########....####################.#...###...#.#.##
...############..##.#.#....#####..####..#...#.##.#.####.######.#...............######..##########.##.#####......#.####.########.#.####.##.##........###.#..#...#.....#...#.#######...#.#.##..##.##.######..#...##.###...##.###......####...##..########..#.##########.#.####################...##....#..#...
#.#..#.#..##.#...#.#.#.#....####.#.###.#.....#..##############.....#..##....###########.#.#####...#.######.............######..####.####.##..#..####.####........#.....#.#..######.#..####.##.#.##.########....######..###.###..###..#...#......#..####...#..############.#.###############....#.....##.##..
####.....######.###.#.###....##....#######.#....###.#..######..#.##...###......#######...##.##...#.###.#..#.####.#.....#######.#######.#..#..##.####.####..#..#..#.......########.....######...##......###...#######....######......#.##..#...#.#..#.#..####..###########...##############.##.##....#.#.#.#.
#####...#.####.##....##......##...#.#.##.##...#####.##..###.#......#.#.###....#########.####..#..##..#.#...######..#...##.###########.#....##.####.#...#...###...........#..#####..##.#.#.###.######..#.........###...#..######..#.#.#.###.#............##################...#############.#......#.........
.###.#..##.####.##..###......#.##########.#..########..####..#..........##.#...#######.#.##..#.#.#.##....#.##.##.#.##...########.#####.......#....#.....#.###.#.......#..#.#######.#.###..##########.##..#......##.#.#.#..#####..###........##..........####...#########..#..##..######.##...##.#.##......#.
..#.......####.###.#.###.#..###.########..##.#.....##..#.....#........##...#..######.#.#.#.#.#.####..#.#..#.#.##..###################..##....####.#..##...#####.#....#####.##.###.###.....##########..##........###.##.####...#.###...#....##.#.....#.######..##########....#...#.##.###....###...#####..#.#
#.#............####...##..#.##..#.##.####..##.......#.#..#...........#...........#####...#.....#.#....##.#......#..##################...#..##.#.###...#.##.####..###..####...#.####.......#############..#...######.##...#..#.######.#.###......#....#.#####..########.#.#.#.##.#..#...#.#..#..#.##........#
#.#.....#....#..###..##......#.....#######.##...###...##..#.###.#..........###.##.#.#.#..#...........###......##..#####################........####...###.####..#.###.####.#.....#...#.##.############.####..##.#######.##.#.######.#...##..........######..##.###..#...#.##..#.#.#####.#.#...##..#......###
.##.....##.....#.##...#..#......##...#..#.#.########..####..####.#.#........#.#####.####..........#...#.#..##..##..###################...#.##.##.##.##########...##....##.#.#.......########.############..#..###..###..#####.######...###...#.###...###############.#..#.##....#.###.##..##.#..##.#.##...##
..#.######....###.####..###.#..###..#...##.##..#.#..#..#.#.######.##.....#.#####.#####...............#.#.....#...####################.#...#......#..#####..####..#....#...###......########.#########..#....###...#######.##########.#.#..##.####.#.#.###############.#..#......##.##..#..#.#.#..#.####.####
.###.#####..###.#.#####...###..#....#..###....###.#####.#..####.#.......#.######..#####........#....#####...#...#..#################...#.#.##....##.....##.###..##...#....##....#########..############...#.###..#######.#######...#.####....####..#..#.###.####...###......####..####...#..##..##...##.####
##.##.###.......##..#...##...##.##..##......#..####..##....####.......##..######..###.....##......#..#.....#........#################...#.#####.#.##.#.######.#.##..######......#.#########..##########......##############.####......#####.#########.......####...####.##..######.#.###....#.......#.######
.####.#######....##.....#.########..#.....#.###.###...#....####....#####..##############....#..#....####.......###.###################....#.#..####...#.#####.#.....#######..###########..#..##########....##.###########.#######.#.#.######.########.......#.#..###..#...#.#####..#.######.###.#.########..
.#.##.#..#..#.#..##..#..##.###..#.#...#...#########.##.#..####...#..########.##########.........#.#.##..#....##.....##################.#...#######.....#####..##.....##.....####.########...################.##.########.########.....#####...######..#..#..##..#......##...########.####...#.....#########.
#.####.....####...#.#..###.#.....###....###############....##.......#..####.##########...#.....##.#...#.#..#.....#..################.####...######.#...##....#.###.....#...##.###########..#.##################.#.################..#######...###.#.#..####.#.....#...#.#..####.##..######.#...##.########..
.#.####....#.###...#.#.###.#..#.##.##.############..####..###.#.##..#.#.#...######...##.####....###..######..###...############....#..###....###....#....#.#.#.#.....###.....###.##.#.#..##..###.##############...############.##...#######..#####..#.#.#####.#.##.#.####..####..#..##########..###########.
#########.#...#...##...###..#.....##..#.########.#...#########..##...##..#.#..###..#.....####..#......#########.##...######...##...#..#......#####....#....#..###.#.#####.#.....#.#.###.#####.##.##############...##############....##.##....#.#.....############.######.#.###.#..########.##..####..####.##
.....#######....###.......###.#....#....#########..#.##############...#.#.....#....#.....####..#..############.#..#..#.###.#....#.#..........#.##.#...........#####..####.##.#....#.###..######################..#####.#####.##...#######.....#.##....#.#####.###########.#.##.#.#...#.###..###.####.#.#.#.#
##.....####...#.......#....##..#..#..##.##########.#.#############...###.....##...#........##...###############..#..#######..#...####....#..####......#...#...#####.#######.##....###.########.#..#.######..#.##.############...#..########..#.........#...#################.#####......#.######....#.#.####
#..#..#######.#...#.#.#..#####...#..##########.#...############.....####...#.....#..##....####..#############...#..###..#....##...#.##......###..#.........#..###.#..######.######...#....###.#.####..###..########.#.##.###..####.#######.##.#..#.#..#.....###.###########.#######....#.########.#.##.#..#.
#...##############.#.....####.#.##############.#..############.#...#.#.#.####....######.######...############...#..####.#..#..........#....####...............####..############.#..#.##...#.##.####..##...###.########.#.....###########....#.#.####.###...##########.###..######....##..##########.#.####.
....###############..##.#.##..#.###########.##.....##############...#..######.#########.######.##############..##.#.######....#.#.#...........#....##.....#...#################.#..#.#.#..#.#...####........##########.##.....#############...#.#####.###.#....###########..#######..#....#################.
.#..#############..#.......#.#...##########..##.#..############..#...########.##.######.######.###############....########..##....#..#..#.#.............#.#...###################....####.....#.###.######.###############################..#.....#####......#..######...#..#######.#.###################...
...#.#######.######..#....####.##########.....##..##############.##.#.#########..##########.#..#############..#....#.###.#.#..........###............#........##.################..##.#..###.##..#..#####....#############.###############.#.....#.#####....#.##.###..##..#.#########.#####################.
...########.#######.#......##############......#..##############.....###.####.#####..######...#.#############.###......#....#.#........#.........#..###....#...#..################.##........#..##..#####...###############.###############.....#.#.#########......#......#.###############################.
.....#......########.....#######.#########.........###########.....###.....######.#....####.....#############.......#.....#.###.#.#...#####.#...#.#..#....##....#.####################.###.#....#...######..#############.#..##############.#.#####.###.####.....#...##.....###########.##################.#
........##.###.######.....#.##...######.#......#..##.########......#####.#.#####.##...#..#.....##############.###.......#..#..##......#####....##..##..#..#...#.#.############.####........#..#..#..######..############.#...##########.###.#######.##########.....##......###########.#..################.#
#..#####.####..######..#.##.#.....##.##....##.####.#..######.......#####.######.##..#........################..#####....##...#.#.##..#.###########.###...##.....#....##############....#............##...##..#.##########..#.##########..#########..##..####..########.....############.....############...#
..#####.##..#...####.#####.#.#...##..#.#..#.######..#######.....###..#.#..######...#........###.##############.#####.....#........#..#.#####.#######....##..#.#..###.####..##.#####.#..##..###...##.#...#......###########.##############.##.#####.....#####..#.####.##....##############..#############..##
#.####...####.#.#####.#####..##.##...#..##.######..######....#.#.##.#...########..###.....###..###.##.##.##.#..#.##.##...#......##..#.#.###..##########..#..##....#######.#..######....###........###....#..##..############################.#.##......##..#.#.####..#....#..###.....##..#.###############.#
#.#....#...###.############.####......#.##################..########.###########..#...###.#####....#...#...##..#.####...#..##........##################...#.###...#########...#####..#.######.#...##.#########.###########.###############....#.....#.#........######...######.#..#.####.#.#.######..#####..
#.#...#..#.##....#######.##.###.####....###########.#####.#.########.#.##.##...###..##.#.##.##..#...#..#.............####...##.....#..#######################.#.###########....######..####.###....#.###.#############.#......############..###......###..#....#######......####..######..#...#.####..#####.
..#.#.####.#.#...######.#...#..##.#....####..#####.#.#####.#######.####...##.#......##.####..###....#.....#..###..##..###.#.##....#...##########.#########.#####.###..#####....#####..####.##.##.....#################..#.........#.######....##.....###.#.....###.##.........##..##########.######...######
#.#.#.######.##.####.#.#.....#.#.#.#.....#.#####.#..#.####.######....#....####....#...#.#..........#...###.#.######..#.#..##.#..##.#..##..############.#####..#.###...###..#....#####.####...#.##..###....##########.#..#.####..##...#####.#.......##.#.###....##....##...###.#....###########.####.########
##.##..####.###..##..######..###...####.#..###..#..##.###########...##...######......###......#...######..############...#....######.#......##.###..##..####.##.###...######..#.#.#.#.##.......#.#...##..#######.########..##...#.#########.#...#..#.#####..#....#..#######.##..###########.###.#..#########
#..###.########.....##.###########..###...####.#.#.################.#.#.##..####......#..........#######.######..###.....#...#.########......#####..#....###...####.#.######.####..##.#.###.#...#.........###.##..#....#.#.#...#.###.###.#.####...#.#..###......#...#######..###############..#...##########
####.##########.#..#...##########......##.##..#.#.###############....#.#.######.....##.##........######...######..###..##....#.##.#.####...##.#.#...###############.....###.######....#....#.#...#........#####...###.#.#.#.#.#..#########..##..#....##.#.....####....#..#..##.###########......##.#########
#.#############.####..###.#######.....#####....###################.#.###.####....##########..#.#####.##..#.#########...##.#####...#######......#.###.###############....#....#####....#.....#.#####.##.#..###.#.....#..#.#........##.#####..#..#.####.##...#.##.#....###....#.############........##########
####.#.###########.####...#####.##..#.#######..######...#.#.#################...#..#.#####.#######..###.#..#####.###.....##.......#.#####.###...##...###############..##.###.###..###..#....##..............#........#.........##.###########...#.####.#########...........#..#############.#..#...#########
..###.....##.###...#####..######.#.....#################......##################.#...###....##.###...#..##..####.##....##.......#...#####.####.#.#.#########.#####.###..#.#.#.#.#..###......#...##.#........####...#...#............##..#####...##########.##.#...#...#....##.#.############....#.#.########
...###....###.#..###########.##.#...##..#####..########.#....#.################...#.####..#######....#...#...#.#.###..#.##.#....#.....###.####..############..####..####.#.#...##..###.##..##....#..##.....#.####...#.#...#.##...#.##.########...####.###.##.##..#.###..#.....#..##########....#.#..#..##..#
....#.##..#..##..#########.###...........##...############..#..##############.....#..#....########..##.#......#########.........##.#...#######..############..######.#.##.###..#####.#.###...#.........#..........#...#..#.##.....###.########....#######...##..........#.......###########..##...#.#....##.
###.#.#.#..##..#.#############.##.#.....####.....##.##.###.##.#.#############........#...#.#######..#.##.........#####.#..#......#....#.#######.###########..#.####.#.#####.#########.#.#.##.##.............##...#..##########........#######.#....##.#........###.......#..#..############.##..#..#...#.##.
....###.##.##..#..########..#.####....#.#####...###...###...##################.#.....##.#.########.#......#......######...#.....##....#...####..#.#########..##.####..######.##..#...#############..#......##....##..##.#.####.....##.#####...###.##........###.#.#..#...##.#..#.#########.###....#.##....##
.##.#.#.#.####....####.....####.#....#.#######........#..#.####.############.###.#........########..#.....##.......####.#.#..........##..######.#.####..##.#....###########..##.#..##.#.########.##.##....#...#.####.##..#.###..#..###..###.#...##...##...########.#..##.##...#.#.###....#####....####.####.
..####...####..#.#.#....#..#######..#..#.########..#.##......#.#############.#####....#..#########..##.#.#.##.#.#...#.##.###......###.####....####.##########....#####.####.#....##.###########...###....##...#..#....#.#..##..######..#.....#..#..#.##.##########.####..#.......####..##..#......##########
#.#####.####.#.##..........########...#.##.######....###......#############.###########...###########.#######...##...#..##.#......####..##...####...#######.#...#.####.###.###....#############.#..#.........#...............#..#.##.....#.####....###################.#..#.....#####..##..#......###.####..
######...###...#####......########..#.#....######.##.....##...##############..#######..#..###.#########..########....#..#.#.....#####.#.###....#.#.....#...#.#.########.#####.##.#####.#.########...##..............###........#...#......#########.....#################...#####.#..#..##..#.######..#.....
#######..#######.####...#.########...#..##.#####.####...#.#..###############################.#######.###.###.###..#.####.##.#########.#..##...##...#####...##..######...##..##.#.#######.########..##........#...##.#.....#................#######.##...##################.######..####......###########....
.##.###...##.#########.....#######.###########...####.#.#.#.#########.#.################..###############..#..#.###..##.....##########.#.##..####..####...###..#####.....#..#...#####.##..#######..####..##..#....###.#...##........#..#..#######..##..####################.####..####.###..########..####..
#.#.###.#....#####.##.#......####..####...##.#.#......###.#.#########...################.#.#.#########........#.#.#..####...#########...####....###.#######.#.######.#.#.#......#.#....###...#.##....#.#..#.#...####..####.#....##.#......########.#########################.##.#..####################.##..
###.##.......####.####.....#####...####.#..###.#.......##....#.######....######.#########..#############....#.#.###.#########.########..#####......########.#######...#####..##.###...#####..#......####.#....#...#...#####.####.#.#.#...#############.###################.###.##..###.##############.###...
###....#........#####......######.#.###.#.......##.#..###....#.####......##############.#.#.#########.###..###.##...#.#..####################...#...############################..####.###....###...#######...#.........#.#...#.....#......###################################.#...####..#############.#.#..
####.#.........######.#...####.#####..........#.###....##...#.#########..#######....###.#...#.#####.######.###..####.##.######.################.##..#.#.##########.###########....####.#..##...##...########...#.........#.###........#.....###########.######################..#.######.########.######....
###.##....###...######..#.########................#....###....##########.#######.....###......##.#..##..#.####.####.....######.###################..#..###.######...##########....####....###.##.############....##.#....#..#.#.......#....##################################.#...##############...#.##..#..
####.##...#####.#################...#.....#..........#.####.....#.###############.#.#.###...##......#####.##########..##.#####.###############..#.#.###..#..#####...##########.#.#..#.#..#.######.#########.##...#####.#.....#.#######....############.#################..#####...########..........#.#...#.
###...##..####.#..###############....###.#.##..#....#####...#.###.####.###########.########.#.#......##########################.####################.#.##########....##############.##.#.######..########..##....#.....#.#.##.########.....############.####.##########.....#.##..########..#......#.##..##.
#.....##..###.###.##.####.#######...###.#.#.....#...#####......##......##########################......#####################.##.##################.#...##########..#..#########.#.......#.#####.###############......#...##.###########...############.#.#.###########.......###..###########...#......#....
...#..#.#.####.#..###.#...#######....###.#..##.##....####.#.....##....########.####################.##########################.#..##############.......##########.#.#############.....#..###....################....######..########......##########..#.#....###..###........#.#.#############.........#....
....#.###..#.#.#..#..##...########.#.##..####.##.#...######.....##..######.##.#####.################.################################################.########.##....########...#..#.#.##.......######..###...##...###...############...#..##########.#...###.....#..#...#...#.#.##############..##..#####..
.#....###..####....####...######.#.#..#....##.#.#..#.#####.##..###...######.#.######################################.#..###########...#.#####.##.#.##.###....#....#..#..####.#.#..#..##..###..#.######.#####........###.###########.#...#############...####..#.###..###.#.#...#.#############.....###.##..#
##...#.#..###.#.#..#.#.####.#####.##.##...#.#.#.#.#.###########...#..#..###.#.#.##.################..#############################.#.########..#.####.###.#...#.#.....#.#.#.#.##...####.############.#.#####.#..#.#.##.############.#...################.#####..#..#..#...###.##################..#####...#.
..#.##########.##.#...####....#...###.#....###......############.##.....####.####...#.############################################.#####..#......#..#.####...............######.#.#.#....###########...#######...#####..###########..#.....###########.###.###..........#.###.##.################.####.#.#.#
...#...####........##.##############.#.##...........################...####..###..#....###.###############.#########...##########.####..#..........##..#.##.##.####..##..#####......##....#######..##..#####..####.###..###########..##.##############.....#####..#...#.####...#.##..#############.###...#.#
....#..###....#.#..#####....########..#...#......#.##############.##......#..#...#.#.....#################..#########.###########..###.......#.........###.###.####..##..####.....#.####.########.#..#..##.#...####.#...#############..#.##.####..####.....#####..##.#######.##...#.##############.#.#..#.#.
.#.##...##.###.....##################..#.....#.####.##.##############..#......#..##....#...########.####.....########.###############...###.####..#.#...##.#########..#######.#..#.##.##.#######...###.#..###............##########...........##..#.##..##..########..#########.....############...#...#..#.
....#..##..#####..####################..#......#####.##.############..#.........#..........####..#.####.#...########..#############..#........##.#.##......#..#...##....##..##.#.###........###...##.###....###........#############.#.##.#.#.####..################.....######.....#.############....#.....
........#..#.###.#####################..#.......####...#.###########....#.....#.#...........#.#.......###..##..##.##.#.##########.##.....##...#....#.......#.#.###..##....#########...............######....#.......#..########...#...#..#.###.#....#.###..#########..#..#####.#...#.....########...##......

28 273 283 3 8
#.##############.#.##...####..#....#..#....#.....##.....#.............#####...#.......#......##..##.#.#######......#..#######.#.##..##.#...##########.......#####...##...##.####.#.#.#....#####....##.##.####.#.###.#...##..#####.##..##...##......####.#####..#.#####.#..###.#..
..############.#..##..#..##..#####.######.##..###..##..##...##...###...####..#.###.#..###...#..##.####.######....#.##.#.#######.###.##.......########..#.....##..######..#..#####.##.##########...####.######..####..###.#######.#.##.###.###.###...####.#..#########..######.#.#
.##########.##..##.#...###...#.########.######.............######.##.......#.##.##..########...#.###...#.##.#.####.#..#############.##..########.##..###.##..##.###.####....##########.##.#.#######.#.################...#####.#.####.###.########.##.#.##..#..######..#########.
#.##########...###.####.###..###.##########....#.....#.###..#..#.####....##..##.##.#########...#.##..##.######.###...#.########################...##.###..##....########.#..#.####.#.#.#.##..#..######.###..###.....###..#.####.######.###...#########.##.###.######.#..#..####..
..########.#.#####..##..##..####...####.#####.#...#.#####.##....#.####.#.####.#...#..##.####.##.#.#.#.##.#.##..###..###.#########.#.####.#######..#.##.#..#####.########..##..####.#.######.#.###########.#.######.##...#...##.#########..##..#######...##..##.##################
#...#######..######.##################.#########...#.######.##..#######.###.#.#.#.#.####..##..##..##..#####.#..#####......######.##.#########.#...#####..###.#############..######....######.#..######.##.#####.###.#.#.#.#.##.#.#.....###############....####.######..#.########
....##.##....#######.###....###.#..##########.#.###....###.#..###.####.#########..#####.#.##.###..#.###..#.....###.#...###########.#.#.#######.#..####..###.###########...#..#######.#######.#..#######..###.##.#####.#.##.#..#.#.##.##.###.#####.#...####.##.##.#.#######..###..
##.#####.#.##############..###.##..#.#.########..#.#..#.#.#.#####..##..####.#..#.#####..#..#######.#.##.#...#####...#################..#..####.#.######.################.############.#######...####..######..#.######.######.##.#...###..######.#..#.#####.##.####.######.####.#
##.#...##..#####.###.###..#########..###..##.####.#..#..##.#######..#..#####.#..#.######..########...#..##...#####.#.##..#############.#######.####.#######..##.#.#####..##################..####.#.#....######..####..####.#####.##..###..########.#######.#######..######.####.
###...##.#...#.#####.#.##.#.#######.##..###.########..#.###..######....###.#..#..####..#..######...###...#####.#.#.#.#.#########.###.#...#####.#.##########....##..####.###################..####.#..#..##..#....##################....#.#..#.#############..##.###############..
##.########.#.##.#####.###...#######....##..########...######.#####.#######.#######.###################...#.#..#..###..#.#######.#.#.#####.###.####..####....##..#..#############.#..#######.######..#..#.......#.###.#############...#####.##########..#.###....#######.######..
..#.########..#..#.####.##...########.###############.###.#..#####....##############.#.#######.##########....####.#......####.##.##########.##..##.#######.###.....#..#.#...###..####..##...##.#..#...##.###.#######...############..#...#..#############.###...######...#####.##
.###########..###..######.#########.##.....##################.#####..##################.#####.#.###########..#####.......#####..##.##.####.###.#.######.#.###.####.#.##..######.#...###.#..#.#.###......#..######.#######..#########..##..###.###########.###...###...#...#######
#.#########.#.##..#.#######.#######.#########..##########################.#.#####.#########.#####.#############.##.###.#..###.##.#...######.#.#.##..#.##.###...###.#.#.#....####.##.#.####.##.###..##..##..####..#..######..########..#.#.#.#..###..#######....###########..###..
############.#####..#################..##.#....####################.############.##.####.##########.#######.####.#####.###.##..#####.###.##..###.#.###...#########.##...##.###..####.#.######.#######..##.##.##..#.######...#####..###.#####.####.#.###..##..####.########..###..
#.#################.#################.####.##....#######.#.#..###################..#.###..#######.####.####...#######.###############..####...#.#.#..##.#.#.########.###.#.#########...##########.#.##...##..#####.##.###########.######...##.####.#####..##################.#..#
.#...#######.#.####...################..##..###.#######.#.#######################..###...######.##.#..#.######.#######.#######.######....#....##..##...##.##########.#..#.#####..####...###.#########.##..#..###.##...####...#####.###.#...##.#.####...#.############..###..#####
##.#...#####..####.....######.##########.###.#...##..##...########..#..#########...##...#..#.#.#........####.##.###.##.##########.####.#####..##.##..##.###..##########..##.#..#.#####.####.#####...##.#..#.#.......######...######...##...##..#..##.###..###.#######..##...#..#.
.##.....##...####.#....#######.##########.####.##...#..#.#########.#.#.##########...##.#.######...#.#...##....#.##.##..#########.##.####.#.##..##.#..##.####..######.#######...#....#.#.####.#####.#.#.#####...##.##.#.#..#######..##.##...##.#..#######.###.#######.....#..###..
##......##############.###.############...#########.#..############.#..#########...#.#####..##..#..#..####.#.####.#####..###.##############.#....#.##.#####..####.#..#.########..#.#..#.####.###.#..#...##...##.####.#.##########.##..#####....####.#.####.######..##.###.#######
#.#.#...##.#####.#.##..##############.####.#####..###...#########...##.#.#.#######..#..#.....##...##.#####..#.#######....#.##.###.#######.##.#.##..#..####.....##..#....#########..#.#.###################.#...######...###########.######..######..####.#.#..####...###########.
.###.#.####.######.##.#..##.######.###.....####.###############.###.###.#.#.####.####..#.##..#####.##.#..#..#.#.####....#.#.########..#####.#...#....#.###...#####..#...#..###.##..#...###..#####.#######.#.#..################..#############..##...#.#####.####.....###########
####.#.####..###...#...#.##.######.##.##..######....##########.#######.#...##.###.....##.#.#.#.#######.##..##########...#..########..######..###....#####.######..#..#.##...#...####..#.####.###########......##########..###..#.#####.#########..#..#######.####################
##..#..#.##.##############...############.########.#.########..#######..#####..####.###......#...#######..###.######.#..####################.###.#..########.####.#.####.##.#.##...###########...#####...#.#.##########..##.##...##..######.####.##.##..###.###.########.#######.
..#..#.##.####...##..####..############.#.###.###..#..################...#######.#.....#.#..#....#.###################....###.#######.####..####..###########.###..########..###..###.##########.#######.#..#.#####..#..#..#...######.####.#......#.###..###.###.####...#.###.###
#.##..###..#####..######.#############..###.############..#########..##...#.#####..#.#.##.###...#.##..##########.######..##.###############..#############..###...#..########.##########.#####.##.######..#..#########....#..#..###.#.####...#..#######.###.####.#####..#####.##.
.####......############..######.######.#########.####.##.#########...##.#....#######.############.####.###.###...####.###.##.##############...########.#####..#.#.#.########.##########.##.#..##.#..#.#########.###..##########...#..###..##..#####.###...#.###....##.#.#.#.#.###
...#.#..#.#############..##########.###################.########......#...#..#####.####.########...######.....#.##.####.#...############.#####################....##########..#..#######.#..##..#.###.##########..###.#....#####.##.####....####.#.####.##..###.#...#..##.#.##...
#.#.###.#.##.###########..##########..##..#.########.#..#######....#.#..#.#########.#.#.######..#.#..###.#.##.######..####.#.###########.####...###.#..#.#####..##.##########....##.#####.####.######.############..#..#...#######...#.##...#..#.#....##.####....#...#..#.####..#
.#.###.#....######.######.###.######.###.#########.##.##.##.#.#..####.##.#####.#.##..#..########.#...#...##.########.#.###########.###############.#..########..#.###########.#..##.#..#..##....#.###.#########.#...#.##.##########..##.#.###..###.....#.#.###.###.###...#..####.
#.##..#..#..####..######.#.###.####.#######..###########..#...####.######.######.####...########.....##..#####.########..##.############.##.#########.##.#..###.#####.######.####.#.###.#####.#.#.#.####...##..#.###..#.#...#####..####.##....#.....#.###..###.#..####.##.#######
#######.#....#.#.#######..##########.#####...####.##......#.#.###...###.#.#############.########....#.#.############..##########....##.#############.#.#.##...#.##.#..##.#####.#############...#.#####..##.#.#...###.####.######.#######.#.#.......##############..##..###..##...
####...#.####.#.########.##########.#...#..#.#.#####..#.#..########..###....###.#..################.#.###.######.#####.#########..#.#.####....###############.##.....#..##....#.#.###.#####.#...###.#.###.#....###..###.####.###..##.####.##.#####..#..#.#..#####...#######...#..
##...#..#####....######.#############..#.#.###.##########..######..#####..######...###########..##############..###.#####....##...##.##.####..#.######.#####.#.#..#..#...#.....#.#######.....##.##.####.#########..####..##########.#####..#.#.##.#..#.#.#.############..##.#..##
..#.###.#.##...######.###.##############..##....#.##.#####..####..#######..#...##.#############..###############.#.#####....#.#.###..#...###.#.###.###..#####.#.#.##.####...##...#.###.###...##.######..#..###.#########.###.############..#.###..#...#.##..##############..#####
...#####...##..#.##########.##.#######....########..#.##...#.....##..##.###.#..#..#####...####.################.####.######.###...#####.#.#####.#############..#...##.#####.###########.#.######.#.##....#.#...######.#...#############.##..####.############....#####.####...#..
#...###..#####...####.####.###..#.#####.######.###.####..#######.####.########..##.###...##.##.###############.#..#.########.##.#.####.###..####.#.#..#########.....#####.#.##.#########..#.#.######.###..#.#.##..#####...#..###.##.##....#.#########..######...##.########......
...####.###..##...####...##.#####..####.################...###.#######.##.#######.#####..#..##.....####.#########...########.###..#####.#.#####.##.#.#.#.##.#...#..####..##.#.#..#.#####..#.#####..#.#..##.###.#..####.#..##.###.####.#.#.#.###.#####.#.#.####.####..##..###.##..
..#.###..##.#....###.#..##.#.##.##..##.#####..##########..#############.##.#####.#######.#.#...#.##.##.######.###...########.########..###.####..##.#.#..#####.#.#.#..#.#.##.####........#.#..#########..#######.########....########..#..#.#.##########.###.#..#...####.#######.
.###.#..#....##.##......###.#......#....###.#..###############.############..#########.#.##...#####....#.########.#################...###############.#####.####...##...#..#..##..##.#..#.###..###..######.####.#########..#.########..#.##..##########...##.....#.##..###.......
#..###..#.#...####.###########..##.#...#####...#########..#.##########..#.##################.#.####.####...###.#..#################.#.....##########..#####.#####.###.###.#...#....###.#####....###...##..#.#..##.########.#.#.#####..##.###.#..########.##......##....####.....#
#######.##..#.#.###..#####...#...####.###.###.##.#####################..###.###########..#..###.###.###.......######.#############..#.#.################.#..########...#.###.##...#.########..#..####.##.###.#..#######..#.#...########..#####..####.######.#.#..##...#..####....
############.###########.##.##..#..#..##...#...#..########..#########..###.#############.####..#.##.#.#...#.#.###.#.#.#..#.##############.##.######..####.########.#..##..#.####....##########.####.#.##########.######.#####.#########..#############.####....###.##.#.##.###.##
###########.###############..####..###.#.......#.....#.#####..#####..#########..######.#.#.##.##.#..#...###..####...####.##########...#..#.#######....###.#.#..#.####..###...#.##..############.#..######.#.#..#########..#..########..##...###..######..#.#.####.###..###..#....
#######.###..##################.##.#..#.###..##..#.....#...#.#######...#######################.####....#######.#...###.#..############....#########...##.#.#...###.##.######..#.#...############....######.###.#.#####.#.##.#########.#........#.##.#.#...##....#.###..#...###..#
############.##.###########.###..#.#..#########.##.##.#.#.##.########..#.#.#.################..#######.#######...#...####.#####.##.##...####.########.#..##.#########.######.#####...##########.#...#.######.#..#.###..#####..###.####..#.#.###.#..##.#..#....#.##.#.#.##.#.##.##
.###########.#.####################.#.#####.#######..##.###.##############..############..#...#############..#.#########.#.##.....###....###.#########..########.####.#########..##.####.######..####....#..##.#.###.#.#.#..#.######.###..#.#....###.#.##..#####.###...###......#
.#########....#...##############...##...#####.###.##..#..#...###.##.###..####..############..##################.#####.#########...###...##########.#########.###..###.########.#.#############..#..###.##...###.####.####.##..###############........#...###..########.####..##..
#########.##...##.###.####..#####.##.#.#...###.######.#########.#..#...#######.###.#.###.##...##########...###..#####.#######....#.##.#######.....####.####..#.###############.######.#.######..#..##.##.#.###.....##.####..###########.####......#....#...##.##..###......#.###.
########....#.#.......##.########.....#.#.####..########..#####.#############.#####.#####.....############.#####..####.#######..#.###########...###.#..###..#####..#.#####.###########...###..#.#.#..#....#..###.#...##.##.#.##########.###.#.###.###.#..#.###########.#.######.#
########.#...##.####..###.####.###...#...#.##.##...###.######.#.###.##.####...##...######.#.###########..#..##....####.#######..####.######..###.######.##....#.##.#.############.#....##.#...#...##......#..##.##########...#.####.#...#####...###..###.#.#########..#######...#
.#.#.#.##....#.######..#.#...#..####.#.####..#..######.#.#####...##.########.#..##.#.#.#.#######.######....####...####.#####...####.#.###.#.##.#.##.######....###...######..########...##.#..###.###.##..#.##.....#.####...##.###.#.##.#.##.#######..#####.#..#.######.####...##.
#########...#######..##.#####...######.##....##..######.#####....#.#########..#.##.....##################..##.###..####.##.#...#####.#########..#.##..#####..##.#..#####..#.#########.#####.#.###.##############.###.###.#.##.###.#.##..#..##############.....######.#..#########
#.###...#..##.####...###.####.#.######..####..#######.#######.##.#.#######.#...####.#.##################.#.##.#.####.#.####.##.########.####.##.#.##.#####.#######..#####.###########.#.##.#..###.##.##.########.#..#.####.##.#.#...######.#####.#....#.##.###.#...#####.##.##.##
..#######.#.#######......##....#.############.##.####.###.#..####.######.##.####.#..#..###....##.########....#.##..##.#####.#.###########.#######..######.###.#####.###..#..#########.#.#..#...##.#..#..##..#.############...##.#.######..##.#########..#.##..##....#.######.#.#.
.###.###.##.######....#.##..##..#.####..######.##.####.####..####.#...################.#####..##..#######...###.####.##..###.############.######..#..#........#.###########.#######..##..####....##...######.#.#.#######..#.###########.###########.##.#.####.##.#..##.##.#....##
#####.##..##.####.#.####.##.#....####...#############......##########....###########..##.##############..##.##.####.##.#####..###########.##..##..#...#..#..##...#...#####.#.##########.#.####.....###.######.##.#####.###...#.##..#...######################..#.#####....#..####
.##.#.###....####.#.##.#..#.#...######.#######.....######.##.######.##.#.########..#.####.##.##########...#.##.###.#..##################.##..#.....##..#.#.##....#..##################.....##....###....####.###########....#..#.###.############...###########.####.#.###..#.###
.#..######.###.##.####...#.##..####.#.########....##.#####.#.#####.##...##.#####.##.####.#######.##.###..######..##.#.#######################..###.##..#.#.###...###..#######.#.#.##.....#.##.#.####..#######..##########.##.#######.###.#########.#.##.#.##.##.#####.#.##..#..##
.#.#...###.....###...###.#...#..##..#...######..##...#####..#####.#.##...#.#######.####.#####..#..#.##############.###.#######################.#....##.##..###...#.#.##.#.#########.##.##.###..#####...#####.##...######.##..##.####.############.##.##..###.#.######.#####....##
...##.....#..#.....##..####.##..#.##.########.###.########..######.####..####################.#.#.#..##..######..#.###.######################...#..#.##.######..#.####..#########.########..#######.#####.##..####.###...#.##...#########.###########...############.##..##.#.###
####.####..####..##.....###...##.###.####...###...################...#....########...##.####.##..#...##.#######.####.#.###.#############.#####..###...####.#.#....##.#..#########.#####.####..####.##...#.......###.####.##.##..##.##.################.#######.#############.####
..#...#.############...#.######..#.#.####.##.##############.#.###.##.....####################.######..##########...##..#...####.####.###.###.##.###..####...#.####...#.#.###..##..###.###.###########..#.###.#.#########..##.......#.##.#..###########..############...##########
.#.#.######.######.###.##.#..#.#.##.#######.##.#..##########..########.##.##################.#####.##.#..########..##.###....#.#####.##....##.######..####.#.#.....########.....#..#.####.############.#..###..############..#.#....##.#.#.###########..########.#..#############
##################.#########.##.#######.######.#.#######.#.#.#############.#....#...###..###..#..#######.###############.#..#.######.###....###..#########...##..##.#########...#.##.#..#.################.##.##.#########......##.########.########....#########.##...###.#####.
#.###############.#########.#####.##..##.#.#.#.#.#######..#############..##.#..#.#...#.#..#.......#...###..#################..#.##.#.###.##.#.###.#.##.#..###..###..##########..##.###...###########.#####.##...###########.#.#.#.#####.########.##.......#######.##.############
##.#.#.####..#..##########.#.....#.#######..#.#########.#.##.##########.###.#...#....###...##..###.#.###..############.###.##..##.##########.#.######...##.....##......#..###.##.#################.##.#.###..#...#######.###.##.#########.#.###..##.##.#.##.#.######..##.#..#####
##..##.#####..###########..#.##...#.######.####..#########.#.#.##.##.#.######.#...##.....##.##....#.###.#######.############..###..###############.##.#.###.#.####.#####.#####.########.##..#####.####..#####..##..#.#..######.#.##########..#########...###..####.#..###..#.###.
##.#..#..#################.###########.#################.#.#########.######.#..#####.......####.#.#.##...###.#.##############..##.#####.####..######...##.###.#.###.####...#..##.#########..########..#######.##.#.###########.##########.####..#######.######.#.#.###..##..##.##
#.#.#########################.#.#####..##...################.####...###.#####...###...#....#####.######.####.....##..########.#.###.##.######..###..#....#.##.....#.#.##.####.########.###################.#####.##.###.#####.##############.##.######.##.#...###.############...
.#.#.###.####################.###########...###################..######..#####.#.#######..###.################.#..##.##..############.###.###...#######.####...##...####..################..##.##.######...#....###..####.###.############.##.#######.####.#############.#.#####.
..####..#######.#############.###.#.####.##.##########..########.###.#.#....#..####.###..######...########.##.#..#.#....#####.##########.##.###..#..###.###.##..#####.##..################...##.#######.......###.####..######.###########....############.##############.###.###
.##############..##########.###.#...###.##.#.##########.######.####.#####..#..#.#.#.##..##.#....#.#########.#....##...########.#####.######.#.....##########.##.#######....#.##########.##################..#.#.#..####################...###########.#####################.#.#..
##...#...#####.#######.#########...####.##############..####......#.###...######.#.#######..##.###.###########.###.##.##############..#######..#..##.#.#####.#..###.#.##...##.########..#..##.#########..#########.##.########.#######..######..##.##.########.###...#######..##.
#..###.####.#.#.#.###############.#.###...#..########.########..#....#...##..###.##..#####..##....########..##.###.#.###.#.##.#######.##.#..#.#..#....######.#.#####..###..#.##.########.#####.##.####.###.###..#.###..##############.#..#####.###.#####.##########..######.####.
.#.#..#####....#.##...#########..#.##.##...#########..##..###.#..##.#######.#.##############.#############.##..##.##.#....########.#...##.#..##.#......#####.#...###..#.#...#..####.#..############.#####.#.##.#.###..##############..#.####.#.###...###...######......#.###.#..#
##...#####.#...####.###########.....############..####..#...#####.##..#.###.###############.#############.##.####.#..##..#.###.#..#...#.#..#######.###########.##.#...#..#.#.#..###...#########..####..####.....#.###.####...#########.####.#.######.#.##...##.#######.####.#####
##.#.#######.#..#############.###...###.#########..####.#.###########...###.########.###...#####.########.#.######......####.####..#.#..##.######.#####.####.##.#....##.#.#.#.#####..##.###..#.#..#..####...######...######.######.######.#.#..###.....###.###.####.#....####.###
#....######..##.##..#########.####...###########..######..#########.##.#.##.#######.####....####..#######...####....###.#####.##..######...#.#########..##.......##.#....##.####.#.#########...#####.#.########.##.#.######..######.#######.##.#####################...###.##.#.#
#..#######.#.###.#..#########...######.####.#.####.#####.#########..#.#.##....######.####..####...#...#####..####.###.##.#####...#.###..#....######....####...###...##.####..###.#..#######..#..#.########.###############.####..#.#########.#####..######.#####.###..##...##..##
###..###.##...#.###.#######...#..###.##.#####.##.#####.#.###########.###########.######...#.#.#.###.#.#..####.#..###.##.#####.#.#.#######..#########.##..#.....#..###..##.#..######.#####.#.#..#######..##..#######.####.....##...##..###..####...###.###.######..###...#.#######
######.######.##.#.########.####.#####.#####.########...#.###########...###..###.###.####....#...####.#..#.....##.#.#..####.#....###.###.#.###########.#.#.#..######..###...#############.##...##.#############.#####.....#.####.#.#.##############..#.###.####.#####.#....#..##.
###.######.#########.#####################...######...#.#.#################..####...####.#.##..##.#####..#......#.##.##.##.##.##.#####....#############.....###.###.###.##..##############..#####.####..######.#####...##.#.#.#####.###..####..#.#########.###...#..##..#...###.#
##.#.#...##########..#..##..#.#######.###.##.####.##...#.#.###..############..#..#..#..#####.#.##...###...#.#.#.#####...#..####.########.#################.####.##....#.....#..###########.#.##.##...#.#.####..####...#.#####.##.####.##...###.##.#######.#..#..#.#.##.####.##.#.
####..#####..###....#..###..###############..####..#..#######################..###..#..####..##.#.##########.######....###.####.#####.###.###############.#####.......###.##.#########.#.###.##.#####..#####.#..####..#.##..##..##.#..##..#...#.##########.#.##.##..#############
############.###.#....#####.#.############.#.####.#.#..#.#####.####.##..###.##......#######.#...#.##.#.#.#..####.#######.##.##..#.################..###.########..#....########.####...##.#.#..#.##.....##.#########.##..##.#..##.....##...###.########.###.##.#####.##.#########
############....###.######################.##...###....#######.######.#.#.####....#########....#..#####.#...#####..#.#####.####..#.##..###########.#####.#####...###.......#.#####.###...#.#.#####.####...###.#########......#...#.#..#.##..##.##.#..################...##.#####.
###.#..###############.#.##..#.######.############...####.########...#....#.#.##.##.##.#...#....####....#.#.##..###.#.#..##.#####.#.####.################.##.#######....#.##......####..#......#.#####....#############.#..#.##..#.##.####.#..#####.##.#######.####..##.#########
####.#..####.##.#.##.....##.###....###########.#..####.##..##.##..##############..#.#####.######..#.###....###########.#....#.######..#.#.####.##########.##.########.######.#....#.#####.....##..######.##############.#..####.#.#.#.####.......#.#.###.###.##.##..###.#####.###
##.##...#.##..#####...#.#.####....##########..###..#.#.#.##.####...###..########...######.#######.#.####..###########..##...#.###..#####.....##.#############.###.##..#..######....##.###..##.##########..################.####...#.#.###..#.....######.####...##.#.#############
#.#..####...#.#####...#######...##..#######..#.##.#....##...#####..###..#########...#.##..####.###.##...##.###..#####..##.##.#..##########....##..#.###########.#...###..#################.##############...#####################....########.##..##.#....#####.##.##.#.#########
#.#..##..##..##.####.######..#....###.###.#######...#..#....####.#####.##########........#####.##.###.#..#####.#######.####.##..#######.#.##.##...#..#########...#.#.##.#.#############.###.###########....######################..#..#.#####.....#..#.#.###.##..###.#.#########.
######..#.##....##########..##.#.##.######.#..##.....##..###.#####.##########.###.....#..########..#...##.##.#..###...#.##....#.#######...#######.....#########.#.#.#..##################.##.##########..###########.#####....#...#...################.#.#.##..#.####...#.######.
#####..#####....##..#.....##.##########.#.#######.##.######.####.####.###########.##################...###.##########.#.##################.###.##.###...########...#####...##.########...#..####...####...####.#########.##..####.##.#..####..##.#########.####.######.#######.##
####.#.####...###.####.#..#..####.####....####....##..#########.##...##.#####.###.##.###############.#########..#########.###.#.#########.#.##...###################.###########.#.....##..###.###...#.#######...#####..#....#########.#.##.##############....################..#
#.#########..###...#####...#.##....#.###.#####.##.#############.#.##..########.#.##.#.##########.##############.#######....#######.########.##....##.###################.#.########......#..#.####.###.#.####.###############.######.#.#..#....#############.###############.##..
....#######..#####.####.###......#############.##.#.#####.#..##..####..########.##..#####..######.#####################.##.####.#.#############..##.##..###########################.#.#..##...#########.##.#########.#######.#..#......#.####.##########..#######################
#.#.###.##..############.#.##.#######.#.######.##...#####.#..###.####.#..####..#.####.####.#####.##.#####.#.###.####.###.#####...#.##.#########.##.######################.#...#########.##.#.#######.##.#...########.###########.#.#.#.##.##..#.#########.#.################.####
#.#..##.#.##############.#.##########.#.######...######.#.#######.#..#..#.########..###.######.####.#####...###.############..###.##...##...#..#######...###############.#.#.##########...##################..##.#.#.....###..#..#.#########.#.#..#######..#..###################
.#.###.################...#.###.#..##.######.#####...##...####.#....####.##.######.####.##...#.#.#..###########..########.#..#...#######...#.#.######.#..###..###########.##.#######################..##.#.##.############.#.#..#.##...#####...##########.##..#.#################
########.###.##.#####..#.########...####.############.##..#####.##.####..##.####...####.#.#.##.####..###########.#######.###.....#.#.#.##..###.########.#.....#########.###.##########.#....###########..##.#..#.##.#.##########.#...#.#######.###.#######.#####.################
####.###...##...#...###.#..####..#.#..#############.##...#..#....#####...#######.#...####...#.####..##..###.##.##########...#...#.##..######..#...####.#.###.####.##..#######...######.#.###############.#......#####..#.####....##.###.####....###.#############################
#########.#.#..##.####..######..#####.##.###########.##.##..#..#########......##..#...####..######....#.###.####.#.#.##.#.###...##.#.######....#####..#.####.####..##.#.#######...#.####..###########.##.#.#####..#####.#.###..###.....####.##.###..#.#######.###################
####.###.#.#######.#.#..####.#.....###..######.#######..###.....##..###.#.#...##...##.#####.##..##.##.##..#####.##...##.########...#######.##..#####.###.#..#.##.#..#.#.#.##################.###.######.#.######.##.####.#.#..##..##.######.########.#..####################.####
###.#.####..##........##.#.#.##....##..####....###.#.####.#.....###.######..#.###.########.#######.#.###.####.#####.############...########.#..##.#.###...#####....##..#.#########.################..#.#..##########.########.##...#####..#..##.#.#..##########.#################
.###..#.#.#########.##...##..##...#..#######...####.#####.....##....##.###.##.##.####.##..#####..#...##.##.###..###.########..#.#..###########...#..####.#.######.#.#####.#.########################....##.########...###..#.###...#..#....#.#######.#######################.###.
.#######......##.###.####.#.#..#..#...######.......######...#######..#.####.#...##.#..#.##############.#..##.#.############.#..#....###.######..##.#.#####.##.#.#.#..#####.#.###################.#...################.##...#######.#...##.#######.###########################.###
#########..##.##.####.###.######.......######.#...#.####.#.########..###..#..#####.#.#..#.#.################...########.###.##.#.##.##.######....#...####..#..#####..##.#####.##..###########.##.#..#.##..########....####.######.#####....#######.#############.##.#######..####
########...##.#######.....#####...##..##########...#.#..#.#.#########.###.###..###.####.###############..#.#############.#######..#####..##..###.########..################.#.#.#################.##...#########.###...#####.#.##.###.#...#######.################...#.####..####
.####.####.##...######.#.....##...###.############..#######.#############.####.#.#..###.################...#..#####.###########..######.#...#.##..##########.################.....###########.######.#########.##.##...###..##.#....###..####..#....###############.#....#.#.####
#####.####.##..###.##...####.#..####.#.###########.##########.#######.####.###....#########################.#.#..############.####.#######.#####..########...#.######..#########.##.########...#######.#.######.##.......####.##.....#..####..##.....##.##########.........#.#..#
##...#.#########...#....#.##.####.....####.##########.#.#####.#####.#####.###....#########################...###...######.##.##.###..##.#.#####...#######..##..####.#..#########.#####.######.#....#.##..######.#.##.....#..#..#.#..###..######.###..##############.###.#.##.#.#.
.##.#..#.#####.##.##....###..#...###..###.###.#.#.##.#.##.###.#######...#.###......#####..##############..#..#####..#########.##.##.....######..########.###.###############...###########.#.....#####...#.###.######....###....#############.#####.##.#########.##...#####.#####
.###.###.#######.#####.#..#.#......####.#..#.......##.#..######.#..#.#####.####..##.####.######.#.#######.#.###.#.####.#.##..#####..##..####################.####.#..##..#####.#########.#...#...###.#...#.####.#########.###########.#####.###########.#...################.####
.###.#########..###.#..###.####..######....#.#.#.######...#####.#...############.#######..#############.##..###.##..#.##..#########..##.######.############..############.##.###########.##.#....#.##..##############.#########..#.##..#.##...#...#.#.####..#####.....######..###
#########.###########...#######...######.#.###...############..###.#####.####..#.######.###.####.######.#######..##..##...########.#.###..###.##.################.#######..#########.###########..#....###.#.######.##########.#.##.#.##.#....##.##.#..#.######..#.#.########..##
#########.######..#####.#######..##.##########..#.####..#######..#...###.####..########..#.#############..#.#.#####..#...#############..########.#######.##.#########..##..##########.##############.##.##.#######..#############.#..####..##..#####.##.###..#.#####.###.##.#####
################..###########.#...##.######...##.######.#.###..##.#.###.############..#################..#.#..####....###############...#.###.##.#####.#..#..#####.##.#.####...#####.#################.##..########.#####.######.####.#.#.#..#######.#...#...#####..######.######
##########.#.###.######.###.##.#...###...###..########.###.##.#.####...#######.####...##.#.#############.#.#.##..#.#...#############.....#####..#.######...#######.#...#######..#####...#.#########...#.##.#############.#...###.#.##########.######...#####.#####..#####.#.#####
####.#########.#.######..####.....#####.#########.#########.##.#..##.########..###...####.#################..####...##.##########..##.#.#.######.######.######.###########....#.#####.#.###########....##.############..######....################...###########..##.####.##.####
##....######..#..#..#######.#.#######...#.#######.#####.##..#.###..######.#.####...#..##.#...############.#.##.##..#.##..##########.##.###.##.#...###############.###############.#.###..#.#.#######..###.######.........######....##.###..#...####.#.##.##.#####..##############
####.#.#####...###.####################....###########.#.#.#...##########..##.##...####..#..#############....#.....##.#.#.#.########.##.#.#.#....####.########.########.##########....##.###.######.######.####....###############.###.#########.#...###.######.##.######..######
#.#.#..####.#.###.####.###..####...#.######.###.#####.#.####.###..#.####...####..##...####.#.##############...#..##.##.###..#######.##.###.#..##.##....###..####.#.####..###########..#####..######.####.#.###.#.##############.#....######.###.##.#...#.#####.##########...##.##
############.#.#..###.##.#..#####.#.#.###.#.#######..####..#####..##.#####.#####.##.###.###################.#...##...####..#.#.#..###..###.##..############.#.#.##.#############.###.#######...###.#....##.###....#.#############..####.#######.################.#######.#..#.###
.#.###########.#.###.###..########..#....######.##...###..#####.####.########.####.####.#..#################...#.#..######...###.######..#####.####.##########.#....#############.#..#####.##..####...#######.......####.#########.#####.##..####..########.#..####.#####....####
....#.#...###..##.#...##..#.####.###....#######.#...####.#..########..#######.############.##############..####.##..#####...#.##..#.#.#...###.##########.##...#.##..##.#############.####.##.#.#..##..#####.#.#.##..#####.##########.##.#####....#####.#...###..##..######..#...#
..####.#######.##########.###.######..#.#..#####...###.###.#######.#######..######.###.#.#.##############..####.#.#######.###...##.....########..########....#...#...################.#####.##.##...#.##.#.###.#####.#.#.########.....#######.########.#...##.####..#.#####.#..##
#######..#############.##.#.##..####..###.#####.##.##.#################......####..####.####.##########...###.#.#..##.##.#..##.######..#######..##########...........###.######..#####.#####....####.#.####..#######..#.#######..#...#######..###..##.#.#.#.###.#..##.###......##
.######..#.#####.####.####..####.####.#.#.######.#.#.#.###...#.########..#####.##.###.##.###.#######.####...##...####......#.##..###..#####..##..#######.#..#.#..##......#####..#.#####.#.#..#.##...######.#.#######.#.#.###########.######.########.#..#..##.###.########.#.###.
#.#####....#########.....#######.#.##....####.#####..#.###.#...######...####...#####....##....#################.#.###.#.#.##...#..#.#########.##############.##...###..###.##.##.#######.#..#####....####.#..######...#.###########....######.#.####.#..#.###.###.#..###.#..###..
#.##.###.#..########.#...#.##########.#.###.#..####.###.##.##.#.######..######.#.....####.....######..###....##.######.......#.##.####.#####.#..#...######..#.##...#...#.######..#.#######.####.##.#.###..#.#.#########################.####.#.#####.#.########.###...##..#####.#
##.######...#.#..###.#######################..#####.#.######..#..######..#####....#..#.####...#####.#.###.#..###....###.##.#....#######.#####....##.####.##.####.#.######...####.###############...######..######################.#####.###########..######.#######.#...#.#....#.
###########.##..#.####.#.#..##############.##..###.############..#.#......#####..#..#.#..#....#.##..#######.######...#.####...#.########.##.#......######.#####.#.#.###.#.#.#.####...#########.#.....##.###########################.###...#########.#.#.#########..#.#.###..#.#.#
##########....##......###################.###....#.###.########....##..#..#######..##..##..##...#.####.#.#..#.###.....####...##.###..##.##...##..####.#######.###....###.####.####.#..##########.##..#.#######.############.#####.#.####...#######.####...#.#..###.######..######
##########..###.##..####.##.###.####..###..##...#.#.#...##########...###.##.##.#.#....##.##.#####.#..#..#..##.##.#....######.######...#......#...###.######.#####..#...##..#.###################.##...#...######.###########...##.###..####..####...####....########.##.########.
####..#.########.##.#####..####.###..##..##..#..#.#..##..#####..##...####....####......#.#######....######.#..#####.###########..###....###..#####..######....#.##.#...#.##.###################..##....####################.#...#..###.#..##.####.#.....#.####.#####.##..########
######.####.#...#.#.####.#..############.####.###.###.#..#.#.####....###.###.....#..#..#########..#####.####..##.#.#########.###.##################...#.####.#.#..#.##.###########.#.#.#.##.#.##....#.##########.#######...#...#...##.#####.################..##.#.##############
###.##.##.##..#..##.####..##.###.##..######..###.#####...#############.##.###..#.##.##..##.#####.#..####..####.#####.##########.#.##...#.######..##.#.#####...####.##..##########.##.###.....###.#####.#..######.#.#..#.#...#..#..####.#.#.#########...###...#.####.#..#####.####
.##..#..######.#####.#..#########..#..#####.####.#####...##########.#.#####..#.###############.##...###.#.##.#.#...##.########...######..######.#.##########.#.####..#.##########.##.#.#.###.###.#####.#..####.###..#.#......#.#.#.##.######.#######....#####..###.#.#.####.#####
###.#..#######..###......######.###.##.####...#.#.#..#.#.###.###...########...#.#.######.####.#.#..###.##.##...#.#.###..########.##.#######################...#######.###########..##.###..####..#.#####..#.#..####..###..##.#####..#################.#.##################..#####
########.######...##..#..#..####..###.#.#.##.#####.##########..##.##########.#...##.#####.####..####..#...#.#....####.#.#########.#.##########.############.########...#########.......#.##....###....####..#.#####.####.#.#.###############.#######.##..#.##..####..#######.####
################.###..#.##.#.####.#####.#.############.##.####.################.##.#.###...######.##.........##...##..###########.###########.#.##.######.##########.#####...###......###.###..#####.#######.#######.##.#######.#######.###.##..####...####..#.###...#####.######
#####.########...#..###..#.##########.######################..###.###############.##...#.##.########.##..#.#.#####....############.####.########...##..########.....#.####.#...##...######.#.#.#####..##..######..#######..##########.####.####.####.####.##..#..#####.####...###
###############.###.#..##.###########...#.##################..#.#.###############.##....#.#.#######.....###..####....###.#########.#######.#####.####.#.#.#.###..#...##.#..#.###.##.#.####..#########.##.###.###.#####.##.####.#.##.##.#.#....##############...##.#.#.##.......##
###############..####..######.#######..##########.################.############...#####...#################..####..###########################.##.#.##..#######..#..#.....###.########.########.##########..##..########...######....#####..#.##..############.######...####.##.#
#.####..########.######.#############.##.###.####.############.##..##.###.#####..#..#####.########..#..############.#.##.##...####.#######...#.####.#..#...#######.##.#######.#....#.#########.#####.######...#.#########.#######.#..###.#.....#.######################.#.##.##..
################.#######...#####....######...####.########.###.###.##.##..#####.#######.############.##..#.#####.###.#.#.###.#######.########..#####.#####..####.###....#####..###.##############..#######.#.############.#######.#.#..##.#..############.################.#.#.#.
.###############...#.###.#.#############..#################.####..#.##....########..#.##.#########.##.....#..#######.#.#.##.##################..##########.######...###...##.##..#..##..#.###.#.##.#.##.###.#.#...###############...#######..#######...##.##########...####......
######.######.#......#################....###.#####.######.....#...#.##.#.###.###################.#..###.#####..#..#....##.##.####.##.#######...##########.######.#..#.##..#...#..####.###.#....#####..#.#...#.....#####.############...###############.########..##########.###.
####..#.##...#..###..#################.##.########.##.###.....####...##.......#####..####..########.#.##..##..#.#.####..#..####.##.###..###..###.##.#########.#...#####..#..####.#..#.#.###..#.#...######.#.#..#.##.####.#############..#####.#####..###.######...##.######..#..#
######.##..####..##....#..###.#######.#.....########..######.##.##..#.#.#..#########.#####.######.###########.###.#....############..########.#.############.###########.###.####.###..#.##.......####.#.####..#.#.#####.####################.######.#......####..#...#.####.#.##
###########.##.#..#.....#..#######.#####...######.#.###...##.#.#####.#.#####.####.#.##################.#####..#..#...#######.####.##.##..###.#.#####...#.#########.#..#.####..###.##.......#####.#...##....#.##..#..#######.########.#####.####..#..###.###.####################.
######.###..########.....######...######.........#..#.##.#############..##.##.#.####.##############.#.####.#....##..#######..#####.###.############.#...##.#############.#.#.#######..##.####..#..###.#..#..##.#.#.##.####.###...#####.##.#.###.##.#.####.############..###..#.##
#########.#.#######...#..######.###.#.###.#####.#..#.....##.##########..#####.#..####..#########..##..#.#.#######.#.##.#####.######..##..#.###.###########..##########.###.########.##..###.####...#.###.#.####.##########.###.#....#..###.###.##.########..########.####.#..####
#####.################.#.########.######...######..#...##################.##...#.####..####.########...#.#####...#...########.###....##.##.#.##.##.....###########.#.#..##..######.####.#...#.#..###...#####..#####.###########..#####..###.##.##.######.######..#.#####...#.####
.##.#.###.############.########.########..########...#.#####.###########.######.#.####.#..##########.##.######..#..#..#.#.#.########...###.######....#......########..##.#.#####...#.###....##.###....###.####.##.#######.##....###...#########.################.##.##....#..####
...##..#...##############################.#.###..#.#.##..##...#####.####..###.#..##.####.#####################..##.##.#..##.....#####.##..#.#.###.###...#..#####..###.#.#####.#..###.#######.#..#..#....#.###.###.#########.....###.#....#.#.#################.....#.....###..###
.#.###..#..########.######.#######.######.##.##.##.##...####..#.#######.#.#..##...##.#.####.########.....####...#..##....####.#####.#####...#.##..#..#.#..######.##...##...########.#########.###.####....##.###.#.#.######.####.###.##.#########.################.#..#..###...##
#.#..#.#.###.###..#######.#####.#########..#..###..##..####...#.###.####.###..###..#.#.###.#.######..#.#######..#.#.....###.#..#.#.##.##.####.##########.######...#...####...#####.#.################.##..##.#...#..######.#.######.##..###..####..#.#####.########...#####.#.###
.###.#.###..#####.###..#.#####...##.####.##########..########.....##...#..#########....###..##..####....######..#..#....##...#...#####..##.###################.#.#.######.#####.#.#.#...##############.######..#.#..################.#...#..#####.####.##...##..###.##.##########
.####.#.##.#.######....########......##..#.##...###.#.#.######..#.#.#.#...###.####....###..########..#..#######....#...##.###..#.#####..###.#.##########.#..##....#########.##...#..#..###.##########.#.###.##.#..#.###################.##.#####.##.######....##.##.#..##.#.#..#.
##.....#...########...#.######.####.##....###..#..######.###...#.#....##.####.#######.##.#.##.######.######..##..#.#.#..########.#..##.#####.#########..###.#..#####..##.##..#...##..############..##..#########################.######.#..###.###.#####..###.#.#.##...####..#...
...#.##...###.######.#..#.###.######.##...######..####...#######...##########.##############.##################.##..#..#####..####..#.##...#####.##.#.#####.#.########.#.####.##.#.###..#.##########.#.########.############.##########..##.#.########...#####..####...####......
#.###.....####.#.####.#.#.######..##.##..##..##...#.##.#..####.#..#######.##.#..#######..#.#####################.#######......####..#.#.#.#####.#.##.########.###..##########.#.###.######.#######..#.##.#########.##########.########.#..##.#.###.#######...#...##.###.##.##....
##..#######..##.##...####.#.#####..#.##...####....########################.###.#.##.#..#..#################..#.#.###.###...#.#...##...####..#.#######.##############.#.#.####.#..#.######.#.####.###..##...######.#..###############.#..#######.####...##.##..###.#......##...#..
.###.##....#.#####################.....##.#..##.##.##.########.################.#..#.#.#.#.#################..##.#########.##.#.#####.#######..#####.#######.##.##.#.#######..#.#####..####.####...##..#.#######...##################...##.##.###########.##...##.#..............
.##...#..#....#..##.##.#####.#.######..#....#.######.#.##########.#########.#.##...#.#..####.##################..###.#######...#####..#...##..######.#######.####.#...#..#####.####..#######..##.#.#..#.######.##.############..###.#...##.##.##..##...###...#.##.#.###.#..#.....
#.###.####..########.##.##..#..#.###..###....#######.###...#...####.########.##..#.##########...##.###########.###..#.######..####..####..#....#########..#######.##..######.##.#######.###.#####.....#.#.####.###.#.##########.####..####.########.##..#.....#..###..#####..#.##
.##.######..#####......#.##..#.#####.##.#....############...#...##.#########..#####.########.#.#####.########.#####..###.####.#.##..####.#..#...########...####....#.#######.#.##.##..#.##..#####..#..####.#.##.###..##########.##.##.############...########..#####....##..##.##
##.##.###.#..##..##...##.####...########.##############..#...#.#.##.########......#.###########.###.#########.####.#.#.##..#.#####...###.#......########..#.#.###.#..#######..#..#.##.#..#.#############.#...####.###########.###.#..######################.....#####...#.##.##..
##.####.....##.###..#.##########.###......##.#..####.###.#.###....#########..###..###...####.###########.###.#######..#.###..#.###########..#################.###..#######...##.###.##....##.#######.######..#################.#.####.###################..##....#..#...###.#..#.
###.###.#.#...###..#.####..###########.#..#.###.#.###.##...#..#.########.######...###....#....##.########...#######...#.#..#.#######.######.##.#..###############.######.#..#.....##..#..#.##.#.#.####.#...##.##.#########.####.##.########################...#.......##......###
####.#####.##..#.#.###########...#######...##.#####...####..###########...######..####..##..#.##.########..##########..#.#######.##.##########.#..#.#####################.#.........#.#######.##.#.####........##########.#.#....##..############..#########..#.#...#......#.###.
########..#####...##.####...##....######.##..####...####..#.#.##...###.########...#....#.##.#.....##...###.#######.##.###########..####....####..###.###.#..#.############.###.#.#.#..####.......##.#..###.....##########...##..##################.###.####..######...#..##.####.
####.#..#######...##...###.#..#....#######.#####..##.##.#.##.#.##.##...##########.##..#####......####.##...#######.#######.########..#####..#####....###.##...####.###############.#.....###.#####.######.##..##..#######.###....#########################..###.##.#....########.
####.#.########....#.##..#.##.#.#.#######.###.####.#####.##############.####.#######..#.###....#.#.###.#..##...##.####..##########.#.#####...##########.##########.#.#.#############..###.############.##.#...####...########.#.#...#############.########.##.########..#########
####..#.#.#######.#.####...#####..#######..#.#.##..#.#..#####..#######.##.##.####...###.#.###.#..#.#########.##.########.#########.#####.###########.##..##.#.#######.###########.#..###.#.#.##########..###..#.##.###########.##.#######.########...####...##.#######...######..
####..#.###.####..#.####..#.####.#.######.#.......###...#####.###########..#.#####...#..##..#.############.##############.##############..#.#.#####.#.#..###.#################.#.....#.#....######.#.#..##.#.#.#.###.#.#######.###.#######.#######.#.#####.....########.#########
####..###..##.####.####.########.#..###..#..####.###.#############.####.#..#.######.##.#..#.###.....################################.#.###.#.#########..#.##########..###...#...##.#..###...#...##.##..####..#.########.#########.##..#..#############..####.##########..###.##..
###########...#.##########...####...####..#########.####.####.###.########.######..#####.##.####..####...###########.######.#########..###.############.#####.##...#######.....###..###.#######.#...##.###.#..###########.#############..##.##########..#.#.#####.#..#.####.##..#
#####.##.########.#.#.###.....#.#.....###.########.#..#..#...######.######..####...####.###.####.########.##########.##############.#....###.###########.#########..#########.##.#######.###.####.##..###.##.#.###.####.#########.######.#.#####.#..###..########.#.#.#####.###..
#..###.####.#.###.#....#..#..####....##...#.#######..######...#.#.#.######.#######.###.########.#.######..##########.##############.#.##...##############.######...######.##############.##########..#.#.#.##.####..###.##################..####.#...######..#.#.#.##.#####..####
...#..#..#..####.#.#..#...#.#...........#.#.######.##.###.#####.###.#####.##.######.########.#.###..#.#.#############..##########.##...##.##..#.######.##.#...#######.#########.#..#####...#######.####.#.#.##.#..#..#.#..##############.##..####.##.#########..##.######.##..###
.####.###.#...#..###........#..#.###....#..#####....##########..###.###.#...##.##.####....##..##.#.#.#.########.####.##.####.######.#..#.##...#.########.###..######.######..######..##..#########.#################..##.############..##..#...#############.#####.####.####..###
#####.###..#####.#...#.#...#..#.#.####..#..###..#..#.######..#.##.#.####.#.##.##.#####...##..#.####..####.#####.###.##.##.###.#######..#.######.######...###.#######....############..#.#...################....###....#..#.#########..#......######.########...###.###.###...###
.###.######.###.#..######.####.##.#.##....########..##..####.#.####..#.##.###..##..##.##.#.#..#.##.###.###.###########.###..########...#########..####.######.######.####..######.....######################..#..##.#...###########.#.#.#.##..############################......#
.##.######.#.###.##..##########.#.###...#.########.#.#.######.###.#############..######..#.#.#...#.####.####.##.####...######..######.##########.#######.##....######.#####..####.##.####.#################...##..#...##############...##.#.###...##.###########..##.##.#.#.#.###
#..#########..###.#...###.##..#.##..#.####.##.#######.##......###.#####.#####.########..#.#...####.#..#####.###..#.....##..#.######....#######...####..#....#.##..#......###.####..#.#####..####..###########..#####.##########.#####.#####.####.##########.####..######.#....###
###.#.######.#...#.##.##..#####.######.##..#####..######....#####.#..##########.#########..####.#.##.##########...#.###.#.#####...#.#.#######...#.#.#####.####.#.#..###..######...########..#..#.#############.##...##..####.###.###.##...#####.#########.#.##..###..####.#######
###.###.######.################.########..#.##.#..##.##.#..####.#####..#######.#########....##.....############.###..###...####.#.#####.######.#####.###..#######...#.########################.####..########.##..#....##.#######.########.#########.########..###########.####..
###.############..############.####..########.###..#.##...##..########.#################.###....##.###########....#....####.#..#######..######.######.#.########..#.##########################..#.###.####.#...######..#....####.#########..######....##..####.#####.############
##.#....#########.####...###.#.#.####.######..#....#.......##....#.###.##################.##.####..#.########.##.##....########...###.##.#####.#######.#########.##.#.#.#########.############...####..####.#...####.#.#..#..###.##.#######.#..####.#.##..#.#.#.###.#############
#.###############.####....#####..###...#..#.##.##.#..#..###..#.#.########################.######.#..#.######.#..#......#########.#####...#############..########.####.#####.#########.#####.####.####..#####..#..#######.##...#.#..##########.#.#..######..###.###...########.###
#####.########...#.#...#.####.#.###.##....###..########....#..###.########################..########.#########...##########..#....#.#.#...#####.#.####.#.#########..####......###.##############.####.###..#..#########..#..###.##.#########..#.#####.#.##..#####..###########.##
#.##.#.#########..#...#.####.##......##.#.#.###.########.###.....####################.##.##.########.#########.#############.###..##.##...####.##....#.##..#####.####..####..#####.####.########.#..####.#.#.###.######...######.##############.###..###.###.################.#.#
.##...##########.#.###..#.##.#####.##.####.##..#.####.#.#..####...##################.######..##..###..##..####.....##########.###..###......#.####..########.###.####.#####..#..##...##.##########.####..#..#.#..#.#.#..#..#######..########.########..#..##..#.#.########..#####
##...##.#.######...#.##.###.####..####.###.####.##.#######.#####.##########.##.#.#..##############..##.....###.##.#########..#####.#.#.#.#####.####...####.##.###.####...##..#.#..##.#################.####..#######...#..################..######.###...#.####...########.####..
####..###..#.##...########...##..###..#.#####.#.#####....########.#####.#########.#.#######.#######.#.##.#####...##########.#.#####.#.#.############..####.##.####..#..#.####..#####..###.##.#########.#.##.##.##.#...###...########.####.####.######.#..###.##############.#.#..
#..#######.#.....#.##.#########.##.....#####.#...#.#...#.#####.#######.##..#######..#####.#.###....#..########..################.###.#...####.###..###..###.#.#####.##.###.#.########..##.###.#######...#.#...#.##...#######.#.###.####.#.##########...###.#######.#######..####.
######.####.##..#...###########.##.####..#...#....#....#.#####.############.#####.#######...#..#.###.#########.#.##################.##.....##..###########.##...##.##...###.#####.##..#.#..#######.##...#.#..###.##.#.###.###..##.####.##..##...#..#####.##.#######.######.##.###
.#####.####.###.##..##########.....#.##.#...........#.#.######.#######....###############.#####..##..#####.#...#.###############.###.##..###.#..##.....#.##.##..####.####..#########..##.#.#.#####...###..#####.##.#....#####.#.###.#...##.##....#.####...###.###.###.####.#.#.#.
#####..###....##.##.##.#########..##..#..##...##......#######.####.#.#..###################.##..###..#..#.##.#.########.#########...#..#...##...##..###...#####.##..#.########.####...###.#######....#.#.#..#########...###########...#.#####...##..##..#.####.###.##..##.....##.
#####..###.#..##.##.#.############..#####....##.#############.####.#.#####################.######.###..#######.#####..##########.##..###....###..##.##..##.##..#...#######.#####.##.######.#####....#..###.##.#######.##########..#....#.#.####.#...###.#######.##.###.##..##...#
###..#.####...#..#.#.##.#..########.#.##..#.##################...#..############.#.#######.######..##.########.########################..##.####.#.##.########..#.####..###...##.#################..###...##.########..############....######..#..#.####..#.##...###.#....###.#..
##.#.######.#..###.###.#..#.#.#..#.#####....##.#######.#######.##..##############..##..####.########.#.#############.#############.###.##..#.##....###..######...######.###...#..#.#######.######..#..##.####...######....######...#####.#..#...#....#####.###....##..#.#.######.
#####...####..#####.....####.##.###.####..#.#.#..####.#########...#.#..####.#######.#.####.######..###.##.########.###.#.######..#.####.###########.#########..#.######.##.######...######.######...#.####...########..#######.#....#..###.###.##..######...###.#...#...#.#######
.###..#.#.##.#######..##.#####.###.######..#.###.#.#.#.#######....#..#####.######..##..###..#.#.#...#.###.##.##.####..#####.###.#######################..#####...######.##..##.#...###############..##############.##..######.###.##..######...#####...###.#####.###...##########
.########.##.#####..###############.####....####...#..########...###.##.#######....#####.#..#.#.######...####.#...#....####.############..#####.###..##..#.##.#.#.###..###..####.##.#######.######.#.################.#####..##.#...#########.#.###.#.#######.#######.#.#########
#..#..############.##...##########.##.###..#.#.##..#.#.########...##...#..#....##....#.#.#.#.###############.#.##..###.###############.#.#########.#..#..####.#..#####.#..#.#####.###.#############.#.######.#########.#......#..##.########.#.#.###..##.#.#######.###..########.
.###########..##....#...###.##.#.#.#..#.##.####...###...#######...##.#......###.......##.##.#.###############.##.#..##################.#############.###.####.####.#..#..#.##.########.######################..#########.....#.###.##.#..######..#....###.####.########..########
####.##########.###...#.#.#....####..###.##.#...#.##.#..########.#.#####...#..#..#...#...#.#############.#####.##.#.###.#######.#####..###.######.........#########.#######..######..###############.#######.#.########.#..#.#.########..######.##.....#########..#####.####..###
#######..######...##..#.##..##.########.##..####....###...##############......###.##.....#..#########.#.###.#.#.....#.##.##.....#####.#########........#..####.#####################.##############.#############.#..####.##############..####.##....#####.#####...###.#.########
###.##...#....#############.###.#####..#...#####.....#.##..############.###..#.####....##.##.###.#.##.#######.######..########..#####.#....#...#.##.#....##.##.#######.#######################################.###....##.#.....#####..##.#######.#####..#..#####.###.####.#..####
####.###.#.########.####...##########.#.#....####..####.#.###############....#...####...####.##.#############...####.#.#.################..##...#####.....####.####################.####.######.#########.#.###.#..######.#.#..####..#.#########..#############.####...###....###
#####....##..###########...#..###########....####.##.##..#.###############...##.############.###########.####...##..#######################.###.#.#..##.#.####..###.....#############..########..#......#..##..##.####.#..###......##.##.######..#######..##########...###.#.#.##
###.###.###..############...#.######..#..##...######.##..#####.##########..#.####.##########.####..##..######..##...####################.#.########.#......####.....##.###########.#####.######.#.....##..##.##..#####.#.#####.....####.###########...#####..##.####..####...#...
.##.####.#.#..##.########.....#####.######.#.#..#.##.##..#.###.#####.##########.##.###############.##.#########.#.#..######################.######.#.#..#.#####...####..##########.#.#########.#....#####....#.....##.####.#...#..##.#.#############...####..#.####....###.###...
.#..#.#...#...##########.#..##############.#..####...#.##.##.#..###########.######..##.#######.##..############.####.###.#.##############...######..##########.#.###..#..##.#.####...##########..###.####.#####.....##.#.###...###..#.###############.#.##.##..####.#.#..#..####.
###..###.#...##.##.######.###.....#..#####.#..##.#.#.####.#.######.#####.#....####.##.##.#.####.################.##.#.#.#.########################.#.#############.###.###...#####...########..#####...#..######.####.###..#.##.#.#..################...##.###.####.#######.####.
##.####....#..#######..##..#.#..####.#####..##...#.#.#.################......######..####..##.##.##.####.#..##.###.###...##.#############.#.###############.#.########.#.##.######..###############.##....#####.#.###.####.#.###...####.#..#######.##...#...##.###########.####..
####..##..#########.#.#.###.#...##.#.#..##...#######..####.#..######.##...###.##############..#.#.#####..##.##...####....###.##############.##########....############..##.######.#..####..#######.#.#####..##########...#####.#.######...########..#...#####.#######.#####.##...
##.#...#....#..##.#..##.#.#..#.#...##...####.########.##.##.##.#########.###.#.############.###..#.############..##..###...#.#########.##.##..###.##.#..############.#.###..##.##.##.#####..##.#..##..##....###.##......##.#############.#########....#..#..##.######.....####...
##...#..######.##.#.####.###..#..##.#.###.##########...######..#..#.#####..##..##############.###########..###...##..#.###.##.#####.###.####.##.###############.##...#.###.#########..###.##.######.#.#..######...##..##..#########.#..#.########..#####.#...##########.#.####.##
.#.#..##.##.#..##.##.#.#..#.#.####..#..#...##########.##.#..#######.##..##..#.#####.###....######...#######.#..####.##.######.####.###.##.####...#..#####.#####.#.#########.###.####.##.######.#.######...######..#.##..#..####.################.#..###.......#####.##....####.##
..##.#...#.#...#.....#####.######....#.##.###.#######.##.############.####..#..#.######..#..########.########.##.###########.######.#.##.#.#.#..###.#..#######.#####..############.#...##.#..##.....###..#.######..###..##..##########.#########.#.##.#...####.#######...####....
.###...#.###.....###.##.#..........##..##.####.#####.#.######.####.########.###.#.########.#.####.####.######.##.#.##.########..###...#.#####..######.#########.##.#.########.###..#.###.####....#####..##.#######..#...#.##.########.###.###########.##.###..##..#...#####..#.#.
..###..#########.####...#.###########.####.#....##.###..############.#..##..#######.########....####.#####..#.##.###.#.####....#####..#####.###.###.#.#......#.#######.#####.##..########...#.#####.#.#.....#####...#.######...#####....############.#.#####..####.....#.#.##..#.
###.....#..##.#.##....##...#...#.##.#######..#.####.#...###########.#.##..#####...###.#######...#.#...###########..##.#####.#..#...#######..##...#.#.##..##..#####..#..###.###.#############....###.###..#..########..#.####.##.###############..##########..######....#...#..#.#
#####....###..##.###..###.#...#.##.#########.#.##..#.#####.####.#.##.....############...##.#####.....########....#...###########.################.###.#####.##.#####.#..######.#########.###....###...######.###...#.###############################.##..###.###.#.....###..###..
####..####.#.##.#.#####.###.##.#.#..#########.#.##..######.##..##.#.#..#.#####.###.###..##########.#..######.#.##.#.#...##########################.##.#####..####.###.#.#.....########.#..####..######..#..#######.########.#####.#####..#..##..##..#######.######.#.############
##...###.###.......###..###..##.......#....#........##.###..##.##.......################.##.#..#.#.####.#.....##..##..######.###.###.###.#######..###..#####.####.###.##..####..###.##.##..#..#.######....######################..####.####.#....#########.#.#........###....###.
############...##.####.#####.....#.##...##..##..##....####..##.##.#.....#######...#######.###########......#..######...########...#..####.##.....###..##########..####.##.#.....####.##.#####.#.##.#####.##############.#########.####.###..##..######..##.##.##.##.#########.##.
####...#####..#############.#.#.....###..###..###......##.#.#########....#######.#####################..#..#.##.#####.#.###.####..#.#.#.#...#.#.#.##..##.##############.#.####..#.#######.##.#..#..#####.##############...########..##.##...#....#####.######.###.#.#######....##
#####.....#.#..##..#######.#.##.....####..########.#.###.#..###########..########################.##.#.##...##...##...######.##.#.##.#.#.####.##.####.#############.#..###..###.##########..#...######...#############....#########.#...####.....#####.#####.###.#.....#########.
####..#####.##....#########.####.#######.#..###..##....##############...#.#####..##################...#..############.#######.##.##.##.#..###......######..#.#####..#.##..##.#.##########..#..#...##.....##.########......#.###.#.#.##..###.....########.###.###.#.##..########.#
...##...########...######...###.#.######.#######.#..#..###############.######..##########.#######..###.##.###.##.######..##.#####....##..###..#.#.#.#########..###...##..#..#####..####.##..###.#..#.####..#####..#.#.....##.######.#...###.###.######.#########.##.#..#########.
.##.#..###########..######.##.##.#...##.####.#.##...###.#.#....###.#....####..#.##.######.#.##.###########.###.#.####..##...###..###.###.#.#...#.#..#.#####..##.#...####..######.#.#..#.#..####.####..##.#..###...#.#.#.###.#####..#..#########.###.#..####.#########.####.#####.
...#.#.#####.####.#####..#.##..#....######...#.#######..####...####.#.######.################.#####...##.##..##...#....#####...#.###..#..#..#.....##.#..#.#.#....#.#..###.#.#.#####.#.#.#.#######.##..#####..###.####...##.##...##.###########.#####.###.#..###.########..######.
###..########.##########.###.#...##..#.#......####.###...####.###.#######.#..####..###..#.###..########.###.......##.#.#####....#######.##..#....#..#...##...###.#.##.#######.####.################..###..########.##.####...########..########.######.#.######.########.#...##.#
############..#####.###.####...#.##...##.##.####..###.##....######.########...#..######.#####...##.#..#####.#..#...########....####..#####.#.#####........#....#.###...###.#...########...########..####.#..#.#####...######..############.#.#.##..#.#.#..####.##########..###...
##..###.#####.#########..##.#...##.......###..#..####..##.##.#####.##########..#.######.####.#..###..###.#.###.##.##.#.###.#...#####..###.#######.#...#.###..##..#....####.#.############.###################.###############.######.#####.######.##.###..#####.########..#######
.#.#.####..##...########.##...######.##.##..##.#..###############...#####..##########.###########.###..###...##..###.########..#####..####...###...###.####.#.#....###..#.##########.#####..######..###...###.######..##.##....####.#####.#######.#.#.#.####.#########.#.#.###.##
#.#.##.##.####.#####.########.#..#####.#.##..###.###.#.##.###..#..#.######..#.###.#.#...#####.########...#..#.####..########..#..#####.##.##.##..#########..####.#.####..#.#############.####.##.###..#######..#....#.#####.###############.#.#######..##.####.#.####.#.#########
#..##.###..#.###########..##........########..#.####.#.######..#.#..#####...###....###.######....#######.###########.###.##.#...####..##..#####.#.#...#...#..###.###.#...###..#.#.###.##..##########...######.##.##########..#####..#####..#.#.#.########.##.#################.#.
#..#..#.####.########.#.#..####...################...###########.###.###....#.##..#.########..#.#########.####.#########.#..#..####.####.#.##.#.##.#.#####.#############..###.###.#..################....####.#.#.#...#.#####.#####.###.##.#..##..############################.#.
#####.##############.#.....##.##..#####.###.#######.###.#####..####..#####.###.#....###########..##########.####.####.##.##.#..####.#####..######...#####.##############...#...####.##################..###...#.#.#.#..###..#.##...#.##...###...#..#########.#####.#############.
.##...#.##########.####..#.#.######..##############.###.###.#..#.###.##......##.#.#.#######.###.############.###.###..##.##...#...###########.#...######..#########.####.#.#####..#.#.######.#.#########...#...######.####.##..######..###..#..#...##########.##.############.#..
.##.#########################.####.#####.###########.####..#.###..###...#.######.######.#.##...#####################.####.#.#..#.##.########......#######.#.######.######.....###.##..#####..##########.##..##.##.#####...#####.#######.#.####.##############.#...##.##..#####.#.
##.#...########.#############..##..####.#######..#.#..#.#####.#.##..###.#.#####..####.#...###...##############.###.######...###..###..#####..##..#######.##.##########.#...##..##..#######.#..######.##.#..#.########..#.##############.#..###.######.#######.####..#...#######..
#..###..###....####.######.##..#...##.#..######.#####.####.######.#######..##############.####.#.##########.##..####.#########...###..#########..#.###.#######.#######.###..#.######################.####..####.#.####.#########..####.###..##.###############....##..###.#####..
#.#############.##....#.##.##.#...###.########.####.########.####...####.#.####################.#############..#.##....#####.#.################.######.#######.########.#######..####################.#...#.##...#######.###.###.#####..#....#...####.#....##...#.....##..##.####
#.#..##########.##..##.########.###.#########.#..######.###.###...#.####.##############...#####.#.###########...###...#.#.##....#....##########..#########.##.#########.##...#.##.###########.#########...##.#######..##..########..#.#...#..########...##..####..##.#..#.##.###.
#.########....###..########.#.#...##.########..##..###.#.##...#..##...##########.######.#####...#.#########............####..#..##..###.#.#####...###.###..##.#.###########.########.#.#.####.#########.#.##..#######..#.#.######.#######.##.##.#.###.#..###.#.##.###########..##
..#.###########.##.#######.#.#...###########....#.##.#.###.##.#.#################.#######..##.##############.###...##..#.##..#.###.#.###########..###.##.#......###########.#######.#.##.####.###########.###...##.#######..#####..######.######.####.#.#.####...#.####..#####..#
...####.###################...##.####....###.#..#.##...####..##.##########.#####.#.###...#.#######.############.#.#...####..##.##..##.#######...#.....##...##.#..##..#######..#####...##.###...#######..###.#...######..#....##...############..#######.###.####..####.###..#####
.#.#.#..#########.#########.#.#.##.#.#########...##..#.#..##.##.##########..#.###.#####..##.###############################....##..###########..#####....#.##.###.#..##############..##.####..#..########...#....####..#.###...####.#######....##########..#####.###.##..##....##
###.#######################.#.####.############.#..##.##.##..#.########...###.#########..#.###.#.##############..##.######.#..#############...#####.###..#######..###.###########.#...#####....#.###.########.##.#.######...##...##..#######.#.#.#.#####.#.#.#...#.#####.##.#####
.#####.#########.#.######..#...#.#############.#.###...##...#########.##..####.########.##.###############....#########..###...####.#################.....######........#####.####.....##.#..##############..##...#####..#.#..##..##.#.#..###.###...###...#####.###########.#####
...################.##.#..#.####.###############.#..###...###.#.#.#.#..#..#.###########.#######..##.######.##.#.####.#..#############.##############.#.#######.#######....###########.#.###.#####..###########..###.####.###..###.###.###.##.####.##.##..######..###########..###
#######################..#.##.#..#############.#.####.####.###.#....#..##.###.####.#####..##.##.#...#######.###.########.##############.#########.#.###.########.######.################..####.##.##.##...#####.####.##...#.###.###.###.....#######.###.#.####...#.########...###
#.##.########.#########....##..######..##########.#..####..#..#######..#...####.###.#.#..#...#...################.####.####.#############..######..##.##############.#####.###.#####....##.##.###..##..#####.################..#..##....#...###..###.##...##.....##.#############
.####.###.##..########..######.###################.###.##.#....#####.#...#.######.#....####...#.#..#############..###.##.#######.#############.#.#.#.####.##########################..#.###...####.##..##.#..#########...##.#.#.######.####..#####..###..#.###.#.#.###..##.##.###
##.###.######..######....######.##################.##...####.#.######....#########....#####.#.##.##.###########.#.###############.#############..######.##..##..##..###.#.#################..#####.###.#..#.##########..##############.##...###..#.##.###.####..##...############
###..#..###.#.######....#########################..##..#####.##.##.####...####.####.##.#####.####...##.#.#####.#..##.########################.#.##.#####.#####.....##.#....#####.########.#..########...#.###..#####..#####################.#...##.##.#.#.#####..#.##.#.#.####.#.
#####.#.#.##.##..###..#..#######..##############..#######.###..#################..#####.#######..####.########.##....############.##..########...##.#.#..#.##..####.#####..#....#####.#...##..####.#####.##########.#.#####.#.#####.#.#######.#####..###.####.#..##..#..######.##
#########..#..#..######..#####...#.###.#####.#..#.#######.#####..#######.#.#####.###############.#.#..##.#.###.#####....#.########.##.#########..###.#####.##...#.#.####......#.#..####.##..##.##..#.##.#..###.#####.######....####..###.####...##.##.##.###.#####.#.###..#.####.
##..######.###..#..###..######..###.##########.#....##.###.#..#.#.######..##.#..####.######.##..####......##########.#######..###.##.#########.#..########..#.#.###.##..##.###.######.##.#.....###.##.####.#####..##.#.#######.####.#.######..#.######.###.....##.######.#..###.#
#########..#######.##.#..#.#..#..#..#..#####.#..#.###..##.###.....#.#######...##.########..#.###.##...##.##############.###.#..#..###########..#.###..#####.#######...###.##########...#...#...#....########.#####.#....####.#.###.##.######.##.##..#######...#############.###..
####..###...##...#.#....#.#...####.##..######.###....##.#.##.##.#..#####..#...##....####....#.#..#.#.....###########.##.####.#...##...#######..#.#########..#.#.##.#...##.##.#.####..##.######.#.#.#..####.#.##########..####.#.#....########.##....#####.####.##################
##.##.############..##..##.#.#####......####...########.#.#.######.####.##.##...#.#...###...###.####.#....######.##..#.#.###..#..#...#######..#.##..#.###..###.###########.#.#.#####...#.#######..#.#.#...#...###..##......#.#.....#.#..#..#..####..######.#######.###########.##
..#..#########.#.#...##.#.##..#######..#..###.#.###.#..#.##...####.##.#..##.#...#.#############.######.#.############.##.#.########.#..##.#.#..##.#.#####.#.##.############...#.####..##.###########...##########.####.#..######....####.####.###..###.####.#.####.###.########..
#...##########.###.#..#..###..#####.####...###########....##...###.#...###..##..######..#######.#.################.##..###.######.#...####.##...#..##.##..#.#######.####..##.##.#.#.#.###########..##.###......########...#...#######.####.#####...#######.######.#.####.########
###.############..##....##....#########.#.##.#######.##....####..####.##.#############.#.######.##....###############.#..#.#.###.#.#######...#####.####.....###...##.##..##.####.#..#############..##.####...#.#.###.#...####..#.#####..#....####..###.########.#.##.##.#########
.##.#####.####.##.###.#####....####..###.#..#####.##...########.#..#..##...#######.###.########.#####..##########..#..###..#.#.#####..###.#.##....#.#.#........##############..####..###.#####..#...###########.######...######..#.#######.##.##.###.#.##.##.#..#....####.####.##
...#.#.####...######.####..#...##########...######..#..########.....######.#.####.######..#############################.#.##..#.##.....#######.#.#..###.##.##...#.##.##.########.###.#..#.##...##.#########.#.#..###..#..###.#.#.##########..##.####.######.####.########..#.#.##
##.####..#.#.#######.#####.#..########.#..#.####..##.###.######.......##.########.####..#..#############.#.###########.#...##.#.#..##########.#..#..#####...##.#.###.#####....####..#....####...##########.#.....###..#..#.###.#.#####.####.####.....#####.####.########...##.##.
#...##.###..##.#####.####.#.#...##.##....#.#.##.#.#...#.#.#########.#....####..###.####...###########.#.#.#.############..#..#.##.#############.#.###.#.####.#..#.#..####....####...#....##..#######.######.#.#.#########.###.######.##########.#...####...#.#..#########...###..
.......#######..#.#######.#..####...#.#..##..#####.##....########.###..#.##.#.###.######..#######.####.#..##..#########.....#####.###########....#.##....###...#.#.######..###.#####.#...#..##.#..##..#.##....#..#...###.###.#####.###.#######.###.#.#####.####...######.#.###...
#..##.#..######.....######.##########.#..#.##.###.#..####.######....##.####..######..####.#############.###############.#..##.#####.##########..#.#..#.##.###############.#########.#......##.###..#....####..#.#.#####.#####.###..########.#.##.##.#.###.#..##.#.#######..##..#.
#....########.####.#..##...##.#########.#...#.##.######.#########...#.##....###.###.#####.######...####.#.#############....##.#.###.#####.########.##.###...###############.#######.##.....#.####.#.##########..#.....#######.##........##.###############.#.##....##.###.#.#.#..
.....#######.#.####.#.##.#####.##########.####.#.#####.###.#######..#..####.###.##.###############.###########.######.####.####.##.#.##.#####.##..####..#...##############.#.#####.#........###.###..#.####.#####...##.#########..####.#..#..##.#########..######..#.#.######..#.
...########.########.#.#.#####.#.##.##.#..#######.####.##.#####..####.#################################.#.##########.#####.##..########..##.##.######################.#.##.#.####.####.#..######.##.#.###.#####.##..#.#####..#..####...####.#.#..#.#####.#..#####..##..#######..#
..##.###########.#.##.#########.#..###..#..#####..###.#######.#########.########..#############..#####.#############.####.#.....#####..####....####.#.####.###############....########....#####.#...#.###.###....#......##.#....#.....####.###...#.###..##.######.#....######.###

29 300 300 8 3
####.#..###.#####.#.#.##.#.##......##...######......#.##.#.#####..######.#.#..#...###.###.####...##.##.##.##.##..#.####.##.#.######.##.##.#.##....###.#...#.#####..###.#.##.#..###..###...#.#####.#.#..#######...###.###...#.####..#.#.##..####.....########.#...######.#####.###..##..#....#.########.###..
#.#.#.######.....##.#..#.#..#.###.###.##.#...#.#######.###.###...####.#.####.#..#..#.##...#.#..##.###...###..###.#...###..####.#####.#...###.###..##..##...###########..#.###.####.#.....#.##..#####..######.##.###.#.####.##.#...#.#.#########...##.###.###.##.#.#.##.######..####.##.##...#######.....##..
#..#.#####.#######..###.##...###...#..##.#.#.#.####..#.####....##.###..#######.##....###.####..###..#.##..#.####.##....##.#.###.####.###..###.#...#.###..#......##.#..##..###.#######..##.###.##..#.####.####.#.###.####.##.##.######.#..##......##.####.###.#####.########.#.######.######..###.###.####...
.#.###...####..#.##..##.##...#...#..#.#...##..######.##.##...##.#######.#..#..#.#.####..####..#.#.#.#.####...#.#.#.##.####.##.####.....#..#.#########..##.#######...#..####..#####.####...##.#.####..#####..####.#.##..#.##.#.##.#..#.###.##.#.###.##.#####.#.###...####..#...#.####.###..########.###.###..
###.########.##..##.###########.#.#.###...##.#.#.###.#############..#..####.##.########.######.##..#.....#.#.##.###.####...#.##.#.#.#.##.....##...#####..###..#..##..#######.#.##########.###.###..##....##..#....###.##...##.##..####.##..###.###.######..##.#.######...#.#...##.####.##.#.##..#.###.##..#.
#######...#.#.##.#.#.##.#..#.##.######..#.#######.#...###.##.#####.#.#.#.....#.#.##..#############.#####.##.#.#.#.#.#.#.#..######..#.###..####..######.######..#..###.##..#######..######.#.###..###...#.#..#.##.###.######.##..#..##########...#.###########.####....##...###.####.#..#.####...#..#######..
...##..#.#####..#.#.###..#.#..#########.###..##...##.###.##.#...#.####.....##.##.#..###...########.#.##.####..###.#..###.#.#...###...####.###..#.#######..####..#########.##.#....#...#.#.#.#...####..#.###....###..#####.#####...#.#####.#######.#.###..##.##.##.###.####.#.#######..##...##..#####.###...#
#####.#.##.####.##.##.#######..#####.##.###..##.#####.#...##..#.####.###..#...#.##.##.##.#####.######.#.#.##.####..#.##.#..##.#.##.#.###.#....#.####.#####.####..####.#.#.#.####...#####.##....##.#####..#.##.################...#..#####.#.##.#####..#.##.#.####..#..##.#####.########.#..##.##..##.###....
.####.##.#..##.#.####...#.#.###.#....#..###....#...#.##....###..###.#####.#######....####.####.#.######.#.#..##...###.#.#.#.#.###.##...##.#.####.####.#.#####.###....##..##.###.#..#..#####..####..##.#####..#.#.#..##..##.###.####.#..###..#..####.#..##.####..#######..######..#.#.##.#.#.#.###.#....###..
###.#.#.#.#.#....#..#.########.##..#..####..#.#####..#..##..######.#.#..#.#####.#..#######.#######.##.#..##..##.######.##.###########.#..#.###.#..#.##..##.#..##.#..##.#..#.##.#####.##.##.#.##..####.##.##..#...#..####.##.#.##..####...#.###...#...#.#.#.#.##.#....#...#..#.#####..##.##..###...###.#..#..
..###.##....####..#.###.##..##..##...#######..#.###.#.####..#.#...#...######..#..#.#.####.####.#..#.#...#.##..###...#..#....##.#...#..###....####.#...#...#.#.....########..#.#.##....##.#####.#.###..#..#..#####.#..##...#.#..###....##.#.#.#.#..#..##.##.##..#####..###..####.###.##...##..#....#####.....
####...###.######.###.#.####.#.#######.##..######.####.##.####.##.###..##..#.#.##..##.###..#.#..#..#...#######.###...##.###.#.##.##.#.##..####.#####.#..####.....###.###.#.#######.###...#...#.#..##.#####.#######.####.####.##.#...####.#..###..##.####.#.###.#.##.#.#..##.#.#.####.#.####..##.###.#...##..
#.#####.##..#..##..##..##.####...########..##...##..#..###.#.##.#####.#...######..###.#.#.#.#...#.....####.##.#...######.#####.####...###.##..#.##.##.#.#######.#.#..####..#.###.#..##..##..#..###....##.###.#.#.##...#.#.###..#....##..###.##....#####.###....###.##..#..#.#.#.#..##.#.#...#.##...##..#####
#.##.#####..#..#......###...#.#.##..###.#.###..####.#......##..##.#..#.#...##.####.##.##.##....#####.##.####.#..#############.#.#.#.#.#########.###..#.#.#####.###.#.##..##.#.#..#.###.##..###..#####....##.###.###.##.#######.#.##..#.#.#.##.#.###..#.##..####.##..#####.#.##..##...##..#......###.##...##.
.#.#.#.#.####.##.##..#.##.#.#.#.#.#..#####.##...#.##..####.#######..###.#####.##########.##..####.#..#####.##...#.#..#...####.#.#.#######...#######....#.##.....##.###....###.##.####..###.#####..##..###.####...###.######...##.#..####..####.#######..#######.##...#.######..##......#.#..#####.#..##.....
.#.###.#####.#..####..#..#.#..#.#.#####.#.####.#.#.#...###.##....##.#..#..#...###...#..##.###..####..###..#..###.###......##..##.####.#.###.#.#....##.#.#.####.##.#.#####...##.######..########.#.#..#####.##...#...#.##.#.#....###..#.#.###.#.#..####.#...#.#...##.#.###.#.##.###.#.#..##.##.......#######.
##..####.#####.#.###.#.#####....##.#.#..##.#####..#.....#.##.##.######.#######.######......####.####.#..#####..#.......#.#..##.#.####.##.#.##.#.###.#.##.#.####.###..##.#.########.##.#.#.##.#..#..#.#.#.#..########.###.##.#.#.##.#.#..####.#..###...#.###...#.##.##.###..#.##..####.##.#.....##..##....#..
#..##..#....#.###.#.#.##....#.#....########..#..#.##..##.##.#.##.###.#.##....#####.####..#.###..###..#...###.###....###...#####.#..#####.##..####..##.######...#.###.#########..###.########.#.#..##..#.###.##.###.#..#.##.#####....######...###...#.##..####....##..##.#.###..##...#.##.###.#####.###.#....
#.####.###.#....####....#####.####.....#..##...##...##.###....####.##.##..#.######.###.##.#####.#.######..###.#..##############....#.#####..###.####..##...#..#..#####.....###..##...###..####.######.##.#####..###...#.#...#.#.#...######..###.###.##.#.....#..###.###.#####...#...######.####.##.#####.#..
.####.###.###.###...#..#.######.#.##..#.###..###.########....############.###########.####..#.##..###....##...##..#.####...#.##..####.#.##.#######.#.#.##.##...#####.###...###..#.##.#...#.####.#.###.####.####...##....###.##.#...##.###.##..#..#..#..##.#.##########.#.#.#..##...##.#..#...######.####..#.
####..#.##.#....##..#.##.##.#.###...####.#.###..#....#.##.#.##.###...##..#.##..###.#.#####.##..######.#.##.####...########.#####...##.##.#######..######....#.###..########..##.###.###.####.###.#..###.#....#######.####.#.######.#..#...#####.##..#.###.#####.####.#..#.#.##...######..#.####..#####.###..
###..##.#.....#...##...##.#.###..#.##..##...#.##.##.#..###.##.#.##.##.###..###..###..###.##.##..#####.#.##.########.#..##.###.#...#..#...##.###.####.###....#..#####.#.#####.#.########..#.##..##.#.#..#.########.###.#..##..##.####..#..##.#..##.######.#...#.#.#...#.#..####...##.#.#..#.##...#.###.##.#..
######..#..#.#.##..#.#######.#.#.#...##.#..#####...######..#..#..##.###..#####..###..###.#.#...###.......#....#####.###...#...#.##.#####.##.###..##.##.######.##.####..#.#..#.#.###...####.##.#..###.##.##...####.#.##.#.##.#.#..##.###.######.######.####.##.#..#.#....#######.##.#.##.##..#.#####.#..#.#..
##.#.####...#.#.#.###.##....#...#######..####..####..#.######....##.######.#..#####..##....###.#..#.######.##..##.####.#.####.##.##..#...#..##.###..####.####.#.#.#...###...#.########..##..##..#####.#####.#.#....###.#####..###.#..######.###...#######....###.##.####...#..#####.#.##.#####.####...#..##.
..#.##.....##.#.#.##....###.##.#....###...##.#.###..##.#..##.#######.##..#####...###.###.##.########.##.###...#.#########...#.##..#.#..############.#.#...#.....#.#.#.##.#.#..##.##.##...#####......#..#..###.#####..###...#..###.##...#####..##.####.###.##.#.###.###.##.###.##########.##.###..#.##.#.#..#
....#######.##..##.##..###......####.###.######.##.####.#.##..####..########...##....##########...####.###.##.########.###.######.#.##..####.##.##.##.#.####.#.####.#.#..#..###.#.....#.##..#####.#...#.###....##.#..##.#..##.##.#####.#.#.#.#...#.#######.#..#.#.##...####.##...######....###..##..###.##..
.#...###..#..##..#.###.##.#.#...####....#.##.#.##..#############..#.####.##.....####...#######.####.###..#.###.#####..#.#.#...#.####.###.##.#.###..#######..#.#.####.#..#.#..##.#....####.#.###.#...##...##...#.###..######..##..######..#..#.......####.###..#######.##.####.##.##.#...#####.#.##.#.#.#....
.###.#.###.#.#########.##.#.##.###.#.##..#.#.#############.#.#.#.##.###.#.###.##....##....#####...#.###.#....#..#####....#...####.#.......####.##.#####.#####..##.###########..###..##..#..###.#.#.###.#..###..........#.#..######.#...##..#.....###..##.###.#.###.##..#######..###.#..#.#.##.###.####.#..##
#.##..#######.#.##.#..#..#####..#.###.#######.####.###.###.#######.###.#.#..##..####.#####.#.####.#....##...#.#.#.######.##..#####.#.###.##.#.#.#...###...###..###.###.#..###..##.######.#.##....#.#.##.##.#.##.#.#...#.#####..####.#.#.##.#.#.#.#####.#.#..##.####.#.##.####..######......###.#####.#..##..
###..#########..#.#.#.##.#..###.###..#...#....##.#..#..####.####.#..#..##.#.....##..####....#..######.####.#.#....###.#.####...#..##.....#####..##.##..#.#.###.######.#.#..#..##.#.####.###.####.###.#...#.######..#.#.##...##..#.##..##...#.##.....#####.#####..#####.###.####.###.###.##.##...###.##.##...
#......#####.#.##..#..#.#.####.#.#..########.#.######..#.###..##.#.####.#######.#.#.#######.#.######.##.####..#.####..#..#.#..###.#####.##.#...####.#.#..#..##.#.#####.......##.#.#.##.##.##########...###...##.#..####..###......####.####..#.#.##..####..#..###..#####.###..###.###.#...#.##..#.#..#.###..
......#.....#...#######.#....###.##..#####....#.###..####.#.#...##.##.####.###.###..#.#....#..##.##.###..#####.#.####.#..#####.##.###...#....#####...###...###.####.####.##.#.###.###..#.##.#.##.####.#..#.###..##.####.####....#.#.#####.###..#######..###..#...#####.##.###.##.###.#...#####.####.#.##...#
#.#.#.###.##.##.###.##########....####..#######.###.#.#.###.#.###.##.######.####.###...##..#.####.##.##.#.#.#.##.#..#.#.###..#.###..#.###..#...##.#....####..######..#.###.###..###.###.###.###..######.##.#.#..##.##..###....###.#..#....#.####.#.#.#...##..#...#..#.#..##########..##..#....#.####.#####..
##.#.#.#.#..#.##...###.#.##.###.....#..#.#######.##.##.#.#######.#######..###.#.#.#...#.#####..#..##.#.##.###...#.##..####...#.###.##.#.#.###.#......###.###.#..##.#...###.##.#####.######.##.#.#.#.###.##...##.##.#.....#.###.#.#.##.##.#.##.###..##..#.#.#..####..###..#######..#...#######..###.###.#.##.
#.##.#######..#.#####..###.##.#...#...#..######.#..##...#.###.#..#.##.##...###.#...####..#.###..#.###..###.#...##########.#####.#...#.##.######.###.#...#.#####.##.###########..##.#####..#...##.#..###..######....##....#...##.##...#.#..#...#####..##.##...#.#######.#.....##.#..#.####......#.#...#.#....
...##.###.####.##.#...#####.######.##.##.###..####.##...##..#..#.#########.###.####.....###..##..#####..#.#.##...#.####..##....###...###.#####.###.#.####.##.#.##.##....###..#.###.##...#..#.##.#...##..#.####..###.###..####.##.####....######.#.###..####...####.#.#.###..######..######.##.######...###.#
#.#######.##.#...#####.########.#.####.########...##.##.###.#.#####...#####....#.########..###..####.#.###..##.#...###.#.###.###..#####..##.##.###.##..#..######.##...#.#....#######.#.##.####.#...#..##.##..#####..######...#.#..#####.###..##########.#.##.#.#.##.#.###..##.##.##.#.###..#.#.#...#.#.##...
.#.####.#..#..##.######..#...#.###....##...#..#.#.##....#####...#..###.###.##.....##..##.##..####..#...###.########.##.##.##.##.###.##.#..##.########...#.####..###.....#...##.##.#.#.##.#.#.#.#..#######..##..##...######.##.##...#.#..###.###..##.######..#.#.#.##.###..##.###.#.#####.#.###...#####.###..
#..#####...#.#.#.#.###.##...#.###.#.##.###..........#..######..#.###..###.#####.###.###..#...#.#..###..#.#.##....###.##.#####.##.##.#####.#####.#..#.#.###.##..##...#..#.########.######........###..##...##.####..#..#.......##.######.#####.####.###...#.##.#..#.#..#.##...###.#.#..####.#..#...#..####.#.
..##.#.###.########.#..####.###.###.###.#.##...#..###.##..##.#.##.#.#.###.##..#.....##.#.###.#.#...###...##..####.##.#....##.#.#.#...##.#...##...###.####..#######.##..##...#######..#..##.###.####.##..##..#.##.###.#.#.#############....#.#..#..#####.####.#......#####.####.#####..#.#.##.##..#.####.##..
##..##.###.######...##.#.##.....#..#..#..#.#####..##.########..##.###..######.#..#.#....##..#.#.##.#..#..#.###..#.#.##.##.#########.#.#.##.#.......#####...####.#..#....##.#.####.#####.##.#.###.###.#########.####.#.##.##.#.##.#.##.#..#.############.##...####.###..###.####.#.###..###..#####..#...###..
#.###.##.#.####..#.#..#.##..######.###.#.#####..#.#..########..#.#..##.#.###.##.###.###.#####.###.##.###..#..####.#.#########.##..####.##.##......#.#..#.##.#...#.##.#.##...##.##.##..#.#.#.########.#....#.###.#####.####..##.##.#####.##.###.###.#....######.##.##.##...#########.##.#.#.##..#.#.#..###...
#.#.#.#######.##.....####....#.#..##.#.##.#.#.#.##..##.#...##..#####.####.#.###.....##..##.#.#.###.##...##...####.####.##.##...##.##.#.#.##..###..###....##..#.##.#.####.#.####..#####.######.#######.###.#######.###.##..###..######.#...######.###.#.###..####.#####.###.##.##.#.##.####.###.########..#..
#....#.###.###.##..###.#.###.##..#.#.##.#####.#......#..###.##....####..##.##.#####...##..#.##.#.###.#.###.#.#..#.#.##.#..###..##.#...##..##.###.#.#...#....####.##.#.##.#.###.#####.#..#.#####.#.##.#.#.##..#####.#.#...###.###.###.####.###.##...########..#.###.######..##.#.#...#....#.#.#....####.#.#..
###..#.....#...#..####........##.#.##..#..###..##...#.#.####.###.###.#.....#.##.#.#.##..#.#.###....#..#####.#.#.#.#####...#.###.###.####.#########.###.....###...#...##.....##....##.##..#####.#...###....#.#..#....####..##.##.##.#.##..##..#..#..#.#....#.#.##.##.########.#..###.#.#..######...######.#..
##.#..###....#.##.#.#####.###.....#####..#.#.######.#..##..#.#..#.#######.##############.....##.####...###.##.##.##.##..####.###.##.###.#.#..#.#..#.#..#..#######.########.#.#...##.########.####..#........###....##....##.##....######.###############.#.#....####.#####..#.#.##..#.###..###.#.####.#.#.#.
.#.###..#.#.#...##..###.#..######.#.#.#####...#..##...##.###.##..######...##..#.#.#.#.####.#.#.#..#####.#..#.##...#..##.###.#.#.###.#..##.#####...#.##.....#.#....##.#..##.##..#.#...#.#..#.##.######.#.#.####..#.##..#..#######.##.###..####.####.#....###.###.###...###.###.##....#....##....##..#.#.#..##
#.##..#.##..###.#####.###.######.##.#.#.#.#####.....##.##...####.######...#.#..##.#..#.#..##.##..###.#.###.#.#.###.#.##.#..###.###.##.##.#####.######.####.##.#...###.#...###.##..####.#..###.######.####.##..####..##.####.#...###..#####..##..#.####.###########.#####..##.###############.#.##.#.#.....#.
.#.###.#..#.#..#####..##.##..##.#...#...##.####.####..##.##.#.########.###...####..##..##.####.#.##.#.#.##...#####.####.#####.#..###.###.#...##.####.#########.#..#.#.####.#.##..#.###.#..#.###..#...#####.#...#######.#.#...####...####.##..#.#####.#.##..##.####...##..#.####.#.####.#####..#####.##.####.
#.##..#.#.###.###.#.##.##...#.##.##...###.####.#.####.....#..#.###.#...##...##.#.####.###.#...#.#########..#.#..#...###.#########...#.##.#.#######.##.#...#.##.#.#######.#.##.#....#####.################.##.....###.##.#.##.##.##.#.#.#.#.#...#..#.#####.#..#######.###.#....###.###.......#...#.#######...
##.##....#.####.##....##.#.##.#...###.#.#.....#.##.####.#.##..#.#########.#..##.####.#.###.#######.#.#..#####..###.#####.#######.####.##.....#########.##.##.##.###.#..#.#.##..#.###.###.#.###.##.##.#.#.##.############.#.###..#.####.##.##.#.##.###...#.######.########.##.#.#.#.#.##..#...##..##..#.#..##
..#####.#..#.##.#######.#.###.##.####.#.#.##.#####.######.#.#.....###.###.#...#.#.#.#.##.#..######.##.##.#######.########...#.#.#.#..####.....#.##..#####..#.###..#..#.#.###...#...#.####..##.###.#.###..##.#.####.#.###..#####.#.##.#.#....#.##...####.###.###########.##..###.#.####...####.###.#####.#.#.
###.#.#####..##.#..##.##...#..###..###...####.##.####.#..###.#.#.##.####..#...##...####.###.##..#.##.####.#...#..##.####.##.#######....#.####..##.#.##..###.##.####.##...#...##.####...##...#..##.###.##...##.#.##...##.#.#....#.#######..##.##..#...#####.##.####.####.##....##...###.###....###.##.#.#.##.
..####.#.##...##..#########.#.#.##...######.##...#####..#.##........#######.#.##.#.##.#.##.....##..#....#####...###.##.#.#.###.#.#.###..#####.#####..###...####..#####...##..##.##..###.##.#.###..###.#.#####..#.#...###..######.#...##.##.#...####..##...######..####.######.#.###.##..####.##.####..#..#..
#.##.#..#.###.#.###.#.#.##.#.###.#####.##...##..##.####.##...#..###...#..######.#....####...#.###...###.#..#..#.#.##...#.#..######.#.#..##..##...###..#..##.###.#..##.#....#.####...#######.#.#.......###..######..######.#####.#...#....##..###..###..##.##...#.#####.#..##..#.######.#..#..####.#..#.##...
#####.####.#.######.##.#.###.####.#.##.####..######.###..##.##.###.#########..######.#....########..##...#.#.#...##.##....##.##.#.####.#.####.###..#.##.....##..#.#..####...####.#..##.#.###....##.##..##.##...##.###.###..##.####..#.#.############.#..##.#...#.###.#.#...##.##.#..####....#.#.########.#.#
#.#.##.###.#...#..##..####.###.##.###.##.#..#..#..####...#.###.#.###.###.#######.#..#.####..#######..##.#.##.#.##..#.###..#...####...###.##.#.#.####.#...############..#.##...#.######.####.######..##.#####.###.##.#...#...#..#..#.##.##.#####.###.####.#.#.#######.....#.####.###.#########.#.####.#..###.
#....####..######.###.#####...###.###..###...###.##..##.########.##.##.###.#####......#.##.#.#...##..####.##.#####.###...#.#..####.#######...##..#.###..#.#####.#......#.#..#########.###..#....#.##..##.#......###.###..#######..##.#.##..##.#.#.....####..##..##....#.####...##.#.##..#.#.####.#..####..#.
..###.#.#.##..#.###.###..#.#....######.#.#..########.##.##..#####..####.#..###.#.#.##...######.#..####.##.#.#..####..###.#.###..###..###.###########.###.#.#...############.###.######...##.###.#....#...##.#...#####.####..#..#..###...##..#.#.##.#.#..#..##.#####.######.#.###.###.####.##.#..#...#.##...#
#..###.##..######...###..#...#.#.###.##.####..##.#...##...#..#...###.##...####.#.##..###.#.##.#..#.#####..##.#.#....##..##..##.##..##..#..#...#......##.##.##.######.##.##########.##.#####.##.#.#####..#.#.##.#.#.#.############.#..#.##.##..#.....##..####..####.#...#######..#.#.##.#####.########.###...
###..#..####.....##..##.#.#.#.#....########.##..#.#.#####..#..#########.#.##.##.##.#########.#.##.###.#...##.######.#.###.#.###.#####...##.#.#.##.#..####..#.###....#######.######..#####.....######.####..#.###..##.....#.#####.##.###########.#...#.#..#.###.#.####.#.#.#..##.##.#...#.#####.####.#..#....
..#..#.#####.###..##.##...##..#..#.#######.#.###...#..##.#.###.##.###.##...#.########.##.##.#.#####...#..########.....#..###..####.####.#.#....####..########.##..##..##.##..##.###.#.########.##.##.###..#.#..#.....####....####.#.#.##..###.....#...#####..#..#...#..##.#.#..#####...######....#.#.#.###..
.####.###....##....#.#############.####.#####...####..####...#.#.##.....##..###...##...#.#####.####.#.##.....##########.######.#...#..#..#.###.#...###..####..#####.#######.##.#.###.######.#..##..###.########..#####.####....######....##.#.#.##.#...#..####.##.###..###.#...##..##..#.###.####.###.#..#..
.#####.#.....#####.##.#..##..#..##.##....##.##.#.#.#.###..##.#####......###...###.####..#.....#.#..##....##.#.###.#####..#.....####.........##.#.#.###..##..##.#####..##.####.#.##.##..###..########.#.##.######..#.#..##..#.######...###....#####.#####...#.###..#.#.###.##..#.#.##.##..#.##..#.##.##......
.##.####...###.###.#..###.######.####..#.###..#########..##.##..##.#.##.###..##..#..###.####.########.....#####.###.########.....#.#########.#.##..#####.#.#.####.#.##.#..##.#..#.#.##.##.##..######.##.#.####...######...#.######..########....#..##..#..###.#########.###.##.#####.########...#..#..#.##..
###.###.#..##...###.###.#######.###.##.###..#..##..#...##..#.###..########.#..#..#..#.#..#..###..###.#.##..#.###.##.#...###.##.....##.#.#.#..##.###...#.#.#.####......#...###.#..#...##.#..######.###########.######.####.#...#####.######..##.#.###..##.#.######.###..#####.######...###..###..#..#####..#.
#.#######...###..#.###...#...###..#.#.#...#.####.#.#.#.####..####.#..####.####.#.#....###...#########...#....#########.##...###.####.#########.#..####.###..###....#..##.#.##..######.####..###.##..###.#.#####.#######.#######....###.#####...####..##.#..#...#.###...#.#..###.######.#...###..####.######.
#..######.#.###.###.########.#...#######....#.#....####..##..####.##....##.###......#...####.##.##########.#.###.###.#.#.###########.#.###########.#.#.###..#.####.#.###.#..#...###.#.#.#.##.####..##..##.##.####.#..####..#.########.###.#....##.##.#.##..##.....#.#.###.#..#.#.#....###.####..##.#######..
.#.#..#.##.#.#.#####..#####.#..#.##.#...###.#.#.##..#.###...####.####.#..##..#.##.#.#######.###.#########.###..#.#######.###..##########...######.#.#..##.###...#.######.##..#.############.###.#.##.##..#.##.....#####.#..###...######..#..#..#..#######.######.####..#.#..#.##..###.#..###..#####..#...##.
.#.#######.####.##########.##...#....####.###.#.#.#.##.#.....#.##.####..#.#.######..##.#..#.####.##.##...#..#.#.###...#..####.##.####..###.#############..#.#.####.######..###.#..#...##################..##.##..#.###.#.#..####.....###.###.#..#.###.###.###...#.#..#.##....##.##..#.###..######.###.#.....
.###.######.##..#.#.#.#.####..#...#######.#######..####.##.####.#.##.##..###########.##...##..###.#####.#####...##..#.##...##....########.#.##..##.##.###.#.###.#####.....#.#..#.##.####.###...#..#.......#..#.##.##...###..#####.#...#.#..##..##.#.##.####..####..##...###.####.###..####..#########...#.##
#####..######.#.###.#.##.###.#..#..##.#..#.#...#.#.##.#.##.#.####.#.####.#.###..##...########..#..####..#..####.#........##.##..##...#...#.##.#.######..#.##......#####.####.#.....#.#.#...#######.#.###.#.#.##.##.###.#######.#.#..####...###.....#..###.##.#.##.#..##..##..##...##.###....#....#####......
.#####.####.##.#..###.####..####.#.###.##.##########...#.#####.#.##.#..##.###.##.##..#####..#..#.#.....#######.##....####.###..##.###.#####.##...##.###.#...###...####.####.##..#.####..#...####.#.###..##..##..#.#..##..########.####..####.#.#...#...#.#.#..##.###.###..##.######...#####.###..#.###..##..
##.######.#####.##.#.##.#......####.#.####.#.#.#####...####.#.#####..########.####.#........###...#...###.####.###.####..#..#.####.#..###.##.#######.....#######.####..###.#.#..####..####.###.########.#..#.#.#..#####..#.##.#...##.########..##.#..#######...#.##..#.#.##......##..##.######.#.#...#.#..#.
#..##....#####.###.########.####.##.###...##.####..##.####.#...#.####..#.#...#.########..##....##..#.#.###.##..##....####.#.##.##..#.....######.#######.#..#.#.##.###..##.#.###.###.###..#.....####....#.#.#####...###..######...##.##.....#.##..###.####..#.##.######..#.###..###..####.##....#######...#..
####.#########....#######..##.#.##.#######.######.###..#.####..#.##..###.##.##.###.###.##.###...#....####.###.#..#.#.#..####...######..##...###........##.##.#.##.##.########.####.#####.#.##..#..##.###.##.#.#.#############.#.####.##..####..##.#..##..###..###..###...###.#..##.##..#.#...########.#.#...
###.#..###########.#..###.#..#..##...#.####..####.##..#.#.####.###.##..###..#.##..##..####.###...##.#..#.#..#...########.....#.#.#.######.#.###..#..#.###.###.#..#.####..####..#..#.#.##..#.######..#.###..######.##.###...#....##########.###.#.##.####.#####.######.######.#####..##.###...#####...###..##
#.##.#######.#..##..#.#.######...###..##.####..##..###.#.###.###..######.##.##.####.#.##.###..##....#.####.###....#####.#.##.#..#.##.##.#.##..###.#.##.#..#.#.############.######.#.#.#....####.###.#...###########.#...######.#.#.#.#.###.#.#.###.##...##..#..#.##..####.###.###....#.###..#..#..##.#..#...
..##.##....######...##....#######.####..#####..###.....##.#####...#.#..#.#####.......###.#####.#######....######.#.#.#####..#...#.###..#..##..####.#######.#######.####.#..####.#.####.####.#####.#...#.#.##...#####..######..#....##.#.#..##...#...#.#.####.########.######..##..######.#.##.####.#.#......
.#.#.#..########.####.########..#.#####..###..#.#..#.#.#####.#.##########.##.###..#.####...#.#.#.#.#.##.##.###..##.##.##.####.#.#...##.#...##.#.##.....#.#..#.############.##.######.##..##.......#..#.#..##.#..######...##....#..#####.##..##########...####.##..######.###.#.####...#.###.####.#..#.##.##.
.##.#.###...#.###..#.###..#.#..#.###..#...#######...##.##...#.##..#.####...#.#.###############.######.###..########...####.###.###.###.##.######.#.##...###.#..#..#.##.###..######...####.#..##..#.#.#..##.#..#...#.....#..##..#.##..#.##.###..#.###...##......###.##...#...#.#.#..###...##.#.#.#..#.##...#.
.##.#.#####..#..#..#..##.#.######..#..#..####..#..###..##..#####....##...########...#..###.#.#####.#.#.#.######.#.##.#..##..##.#.#..#####..#...#.##.##..##.##.....#..#.#.##..#.#####..####.######.#..#..#####...###.###.####..#..#####.###..#####.#..#####.#..###..#.####.##.####.####.#.#.#.##..####.......
.#.....##..#..##.##..#.###.#...#######.#.###..###...####...##.####.######.##......####.##.##.###.####..#.##.#.#..##.#..#.#.#.####.##.#########.#..#.##..####..##..############.##.#.#.....##.##..#.###.#############.###..#.###.#.###.#....####.#.#.#.#..#.#.##.###...##.#.....#.###.#######.#.#....#####.#.
###...#...#######.####..#.#....#..##.###.#.###.#.######.######.##.#....##..#...###.###..#....#.#...#..####..##..####.#..##..####.#....###.########.####.#.#...#.#.###.#.##...##....#####.#.#.#..#.####.####.#...#..###..#.###..##.##....###.#.#..##...#########..#.##..#.##.#########.#.#.#####..#.#...#..#.
..#..####..#.#.##.##..#.####..#####.##...####.........###...###.###...####.##.#.#.#####.#.######..###.##..##..##.####.#.#.###...###.##.##.....#.#.#.##..####.#####.##.####.#..####.######.#########....###...####.######.####.####.#.#.#.#..#..#####.###....#.#.###..#..###.#.#######.###.#....#..#...#..#..
#..##.#.##.#...###.#..##.##.##.#...#.#.#.##.#####..###.#.###.###.#.##.#..#.#...#.#.#.##..##.#.##..#....######.##..##.#####.##.#.#.##..#.########..#.#..##########.##.#..##..#.#.##..######..#..##..#.######..##..###..#.######.###..#.#...#.###.##.#..###..#.##..###..##.###.#.......###...###.########....#
###.#.#########..#..####.##.#.#.#.####..#..#...###.######.#########.#.....#######..###.#.##.#.##.....####.####..#.#.##..#######..###..##..#.######...#......##....#.#..###..#.#..#...##..#..##...#..####.###..##..#.##..#####.#.#..#######.#.####.#.###.###.#..##.#####.##...##.######.#####.####..#.##.#...
#.###.#...#...#######...##.#....#.##.#.#####.#...########.##.#...#..#..####.##.#..#.##..##..###..#.#####..#.#########.#.##....########.#.####.###....#.##......#.#....#.#####.####.###.###.#...#########.....##..#####.#.#.##.#.##..##..###.##.#.#.#..#####..#.#.###.######.#.#.############..#######..##...
...##.###.##...#####...###.#....#..##.##....#.###.##..#.#.#.#.####.#####...#.##.##.#...#..##.#.###.###.###.#.#####.##..##.#.###..##.##.###..#####.##########.#######.#..#...####.###...#..####..###...####..##..##..#####....##..##..#..#######.###..#.###...##.###.######...####.#.##.#.##.######.#......#.
##.#..#...#.###..##..######.#....#.#...#....####.####.#####.#..#...#####.#...#.#####...#..##.....##..######.##.#..###...####....###...#.....##.#..###.####.###..#...#..#.#####..##.#.#.##..#..##.#.#######..##...##......#######.##.###.#.##.###.#.##..#.#.#.#.#######..##..#.######.##...#..####.#.#.#.#..#
#.###.##..#.##.##..####.#.####.#..#####.###....#.##.#..#####.##.#.#####.########..##########..##.##.###.###.##..##.#...#.##.###.####.#######...###...#...##.#..##.######.#######.#########..#####.##.##.##.#...##.##..#.##.#.###.##.#.##..#.#####..#######..#######.#.....###.###..#.#..###.#.###..#.###.###
##.######.###..#.##...####..#...#.###..##..#.##..#..###.##.#.#..####.#..#####.###.#..#####...#######...#.#..#..#.#.#.#.###.#####..#...##.#..###.####.########..######....##.###.##.#####..##.#..#####..##..##.##.....#####.###.#..#####.##.#.#.#..###.###########..#.#####...#..#.#.#.#######.###.#####..#..
#.####.##...#.##.#.##.#..##.....##.##.##.######.#.##.####...######.####.###.....#..#....####.......###...#.##.##.###..###.###.#######.#######.#.##.##.#.##.##.#.#..####.#.#.##.##.#########..#..#..#.########...##.##.###...#######..##.###.###.####..#.##.####..##.###..##.###..#.####.#...########..##.#..
###.#####..####.#.##.#..###.#########.#.#.##...#.###.#.###.#..###.#..##.#.##.####..#.##.######..#####.##..#.#####..#.####.##.##.....#.#.#...#.#...####..##..##...#.#.#....###.####.###.##.....##.#.##..##....#.####.###..###.###..#.#.#.#..##...##.#..#.#.###.##.#.##...#.##.###.#.#.#.##...##.##..##..##.#.
...#####..#.#####.##.....#...####.#.#...#..###..#.#.#######.##.####.#####.##...#.#.#..########.####.#.#.###.###.#.#.#.#.#.#.#...#.############.#.##..#####....###.##.####..#.#.##..###..#..################..#.#.###.....#.##.##...##.###...##.#.#.#..#.#######.##.#..###.....#.###..#.######.##..#####.....
.#.#.#..##...#.#..####..############.##.#.#.##.##.##..#.#.##..#.#####...####.#.##.##..#..#.##.##.#...###.##.##.####.###.###.#.#..#....####.#..#.#...#.######.###.#.#..###.##.##########...##.....#.....##..##.##.####...#####..##..#.###.#####..#.....###..#.##.#..##..##..###..###.#..#.#####..#.#..###..##
#..######.....#..#.#..#.##..#..#.###..#......##..#.##.##.##..#.......#.#.###.#.###.##.#.#.......##..#..####.#..##..####..#.#######.######.#.#..#.#.##..#.##.#..###.#...#.#..#..#....##.#.#.#.#.####..#.##.##.#.#..####..###...#.#######.####.####...###.###.###..#..###..##.###.#.##########..##.####.####..
.#..#....#......#.#.########...########.#..##.##.######.#.##....#...##.#.##.#.#####.#.##.#.####.#.##...#.#####...##..#..#..##.######..#####..##.##.#..####.#####.#.##.#.#.#.#.#.##..##....#...#########..#..#.###.#..###.#####.###############.#...###.##########.##.#######...##...#####...###.#.#..#.###..
..##..##.######..#####.#..##..#....###.#..###..#.###.####.#.##.##..######.####..####...###.#..##..###.####.....##..##.##.##..###...##..##.#####.....##.####..###..#...#####..#######.#####....#.##.#.##.###.####..###..#####..#..####.###.#......##...###....#..#..###...###..####.####..#..##.##...###..##.
#.#.#..#...####..####...###...#.###.....#.#.###.#####..##..##.##.##..#.#..####...##.#.#..###.#.##.###.##.#.##..##.#.#.###...##.##..#.##.#..##..#....##.#.##.#.###.##.#.###.##########...#.#...#.###...#####.###..###.#..#...#.####..#.###.###.##...#####.#.#.##..############.##..##..###.###.#.....####....
#####.#.#####.###.##.####...###.###.#...#.#..##...#.##.#.##..#.#.##..#####.#..#....#.##.#.....#....#.#....######.###.#.#.#..##...#..###.##.##.....###...##.##.#...####.#######.#.##.#.#.#...####.##.##.#...#...####.#.####.#.#####...#..#.#..#.#.###..#.#..#######..######...###.###.###.#..#.#.###..##..#..
####.#..####.####.#######....##.####..###..##...##...###.####...####.#####.#.#...######..#.####..##..#.#....########.####.#..##.###.#..#.##.#######.#.#.##....#.##...##...##....##..#####.#####..#.#..####.#.##..####..###...#..#..#####..###########.#########.#.####..##...#.##########.#.#.##..##..#.....
....####.##.#####.#.###..##.#.###..###.##.####.#...##.##...###.##..#####..####.####.##.....#..##..#######.##.#####.###.#..##.####.##.###.#.###...#.....#########.#.###.######.#####.####.###.#.....#.#####.####.###.....##.#..##.##..##.#.#########.###.#.#.###.#...######..###...##.##...##..##.##.#....#..
.#.##.#.#.#.#.##..##.####.#.#....##.#####.##.####..#.#.###.#.##.#....#.#.#.###.##.##.#.##.#...#...##.#...#...#####.#..#.#...#..##...####....#.##..##.#..#.####....#.#.....##.#....####.#.#.####.###....#.####..#...###....###.#.#.###.###..###.####.####.######.######..##.#.#..#.########...##.###.#.#.....
#..###.###.#.#..##.#######.##.#.####......###.###.##...###...#.#.###.#.##.##..##.####.##.#.#..####.####..##..#.#.###...#..#.#.##.##.#.######....##..#.#####.#.#.....###.###...#..#.#...#.......####.######.##.#.#..#.##.#####.#.#...#.#..##.#.###.....#..####..##.....#########..######.###.##..##.#..#.....
..###.#.#..#.##.#.####.##...#.#.##.###.#####.##..###.##.##.###.###.###.#.#...#...#.##..#...#..###.######..#..#...##.#.##.####..###..#####..#.########..###..#####.####.#####.###...##..#####.#.#..##.#..#######..#.#..#.##.#.###....##.#.#..#.###.#..#..###........#.#.##..##..####...#.#.##...#...#.#.#.#..
###..##..####.#.#####.##.###..###..#....###.#.#.#####..##..##..##...#.##..#.#..###.####.###.###..#.###.#.#####.#.#.#.####.#####.#.#####...#########.....####.##.######.######.######..###.###....#.#.#.##....###.#.#.#.##.#.######...#######....##.##.##..#.###.##.###.###.....###.###.###..#######.###.....
####.#.#.###..#####.#####.##....#....#.#...#.###.#.#.#..##.###.....##.#.##.############.#..###...###..#..####.#.##..###....######...##...##.#.#..#..#..#..###.#.#.###..##.#####..##.#.###..####.#..###.#...#..##.##..##.##..###..#####.##...###...##.###.#.#..##.#.#########.#.##########.##.#.#..####.##...
##.#.#.##.#..####..#.#.#.###.##....#..#...####..#.##.###.....###.#..####.####...#.#.##.####..##.#####.#...#..#..####.######..###.#######.###..###...##.#..#.#....##########.#..#.##....####.##.#########.##.##.##.....#..##.####.##.#.###..###..#...#...#.#.##.##.#..##.######.####.##.#####....##.#.##..##.
##.###.#.#.##.#.#.#.##.#...##.#..#####.####.##.##..#.###..##.#.#######..####.#....##..#.#.###..###....##....#..#######.#..####.##.#....#...###..##..#####.#.###..###.###############.######...#.##..#..####.......##.####..#####.#..###.#..##.##....##..#.#####.#.#####.###.#########...##.#####.#..#######.
##.#.#.###.####..#...###.###.##.##....#...#.##.###.###...#.#..#####.##..########..#.#.##..##...#...###.##.#.##.#.#.##.....###.###.##.#.##.###....##.#.##.......#..###.#..####.##..##.#.######.#.#...#.#.#########.#.##.#......####.#.##.##..##.###..#.##..#####.##.#.###.###..##..#.###.#..#######..####....
#.##.###.###.#.##..#....####.###....##.#..####.#.##...#######.#####..#..#####.######..###.#..##...#....########.#....###.######..#.#####..##.#.###.###.######......##.#######.#.#.##.##..#...##..#.......#..###..####.##...####..##.##...#..########.##.#...##.#.###..####.####.....##...###.#.##...###..##.
####.#############.#.##...#####.#..#.#.##.##...#...######....#####....###.#..#########.##..#.##.#.###.###.#..#.#.#...##.#.#..#.#..##.##.#.##..#.##.#.#..####.########.##.#..#.#.##.#.....#.#...#.##.##.#.###.###..#.#...#.##.###.####.####..##...#.#..#.#.##....#..###..##.#####.##..#.######.##.####..##.#.
.###########....##.#.##.#####.#.###.##.....######.#..#####.#########..###.#...###..#...#..###.#..###.#.###.####.###...###.#####.###.###.#.##.##...#.#####.###.#.#..####..##...#######..##..###.##.##.##....#...##############.##..####.##.##.#..#.#..#...#..#.#.####.#..##..#####..#...#.##....###.....##...
#..###....#####.##...#.#.#######.######.####.####.#.#.######.#.##.######.#..###...##.##...#.#.#.#####.#.#.#..#...##...##..##....##..#..#.##..#.##.##.##.####....####.#####.#.#.###....##.##..#####.#.#####.##..#.#############.#.########.##.####...#.###...##.#.####...#.#.####.##########....#####.###....
##...####.###.#####.#.#.#.#.##.#######.##.#.#####..##......###.#.#....##.####.####.#.#..#..##.#.####..#....####.#########..#..###.#####.#.###....#....##..#.######...#.....####..###.##....####..#..#.##.##.....##..#....#.#######..#...#.###.#.######.#..##.#..#.#####...#.##.#.####.##.##.#..#..#.##.##..#
####...####..#......###.#....#######.#####.##.#####.......#.##.##...##.#####.#...###..#.########.##..####.#.###.######.#.####.###.###########..#.#..#.#####.##...#####....###.......##.#.#.##.#.###...##..##..#####..#.###.####....#####....#..###.....#########....#...##..#.#.###.#.#####.#.#..#####.###..
.###.#..##...#.....####.#.####..#.###...#.#.#.####..#.##.#..###.##...##.##.#.#..#.#.###.#..#..###.####.########..##.#.....####.####...##....#..##..##..####.##...##....#..#.#.##...#####.###.##.##.....###.##########.##.......##..#######..#..###.#..#######..#.###.###....##..#..#.#####...#..#.#...#.#.#.
##.##########..#...######.#####.#####.###..#######.#.#.#.##..##...########.##....######.#..#.#####.##.###.###..#.#.##.###..####.##.#...########....###.##.###..#......##.##.#.########.#.##...#..#######.##..##....#..#.###########.#####..####...#####.#.#.##...#.###.#.#..##.##.#.###.##.##...#.###.#####.
####.###...####...####.####.#.##..#.#.#.##...#.##.#######.#.##.##.###.####.#..#.##..###..###..#.##.....#.#..##..#####..###.#.#.####.#.....#..#######.#...#.##...##..#####..##..#..##.##.#####...##....##############.##.#.#..#.###....#.####.###.##.#..###.##########.#.#.###..##..#################...#.#..
#..###.#####.#.####.#..###.###....#..#.##..##.####.#.##.###.###.##..###..#.#...#.##..#.####..##.###.##..#..#..#..#####.###.###..###.###.....###########.#.#.#..##.##..####.##.###..#.#########..###..##########.###..#.##..####..#..##..##########....###..##..##..####..#..#.#..##############.##.#..#.##..
#..###.#.#.######.#######.####.#####.#.#.#.#.##.##.#.#######.#.#..#.#.#..#..###.#.#####..#..##.#...#..#.#.#.####.####.##...#.#...##....#..#.###.###.##...##..###..#.#.#.##.########..#..#.#..##..#.#######.#....#.####..##.##...#...##.###..#.#.#..####...#.###.####.##.#.#.##.###.#.####.#.#.##.######.#...
#.######..####.############..############..#.###...##..##..###...####..#.##..######.#..########.####..#.##..#.##.####.#.#..#.#.##.###....##.#..###.#.####.##..#..#.###.#....####..###.#.###.##...#.##.#..####.##.######..##.#.#.##..##...#......##.#####..##.##.##..##...#..#####.....###.##.##.####..##.#..
.######.#...#.###.#########..#.#.##.####.#.##.#.#####.##..##..###.#.#.###..####....####..#.####.#.###.###.##.#####.####.###.#.#.########.##..##.##.##.#####.#..#.##.####.########.###.##..##..#.###.##.......########.#.#######.#####..#..########.#..###..###.#..###.#.##.#####.##.###.#.#.######.########.
#.#.#.#.###.###...##.#..#######..#.##.#.####.###.###.####..##..#..#####...###.#..#..#.#.##...#.#.###..###...##..##...###.#.#.#....######..#.#..#.#########..####.#.##..#.#..##########.#..###..#..#.##...#.#..##....##.##.#.#..#.#..##..###.#.##.#.#.##.####..####.##..###.#.#.##.....####...###..#.###.....
.##...###..###.##...##...##.###.###.#..#.######...######.#.#.#.#....#.###.####.###.##...###.#.#####.##..##..##..###.####..###.#.#...#..###.##.#..######.###.####..#.#.###.##.#..########...####.#.#.##.#.###..##.###....###......####..#.#.#...###.#...#####.###.##.....###..#.##..##.###...#.#######.#.##..
##...#...#..######..#..#.#...#..########.###.#.#####.##.#.####.##...#.....######.#..######.#####..#..#.##....#..##.####..##..#####...#.#.#.#.###..##.#..##...###...##..#.#.#######....#..##.#.#.#.#.###...#...##.##..###.#####..#.###############.#..####..###.######.#####...###.##.....#..###.#..######...
##...##..##.########.###.#..#....##.###.##.#.#######...##..#####.#.#.#..#.#.##.###..#.#.#####.##.###.##..#.#.###.####.##.#..##..###..#....#.###.###.####....###.###.###.#.#..#.#....#.##..########..#.#.###..##.#####.#.###.#######.#.#.#...##.####.#.##.##.#..#########.####.##..#.#.########.##.##.#.####.
.##.#..###.#.####..#..#..#.#....##.#.#####.#.##.#############...##.###..#.####.#.#######.##.##...######..#.#.##.#..#..#..#.#.#####....#######.##.#######..#.######.###...#.########.#.#..###.######.#.###...#.####.##.#.##.#####.###.##.######..####.#######.#..#.###.#####.#.#####.###.#.####.#.#..#.###.#.
###.#.#..####.####..##.#########.#.#...#...###...###..#.##.##.##...#######.#####.##.......##.#.....##..##.######.#.#.#.#######...####.######.##...##..#.######.#.##...#.##...#.##.##...######..#.###.##...#..##.####.####.####.#.#####..##..###..#..###.#####...#.##########..#.###.##..#....##.#####.##.##.
####.#..#.##..##.#.###..##...#.#.##..#...####.###..#####.#.##.##.####.#.##.#.######.#...#.######....#...##.#..#..#.###.##.###.####.#.#.#########.###...#.#####...##.#.##.#...########.#.#..##.#..#..##....###.#..########.#.###.###..##.#..##.##.#...#.###..####...####.####.##..###.#..#..#.########..##...
#...##.##.##.##########.#.#####.#####...#.#.....#..####.##.##.##..##...###..#..#.#.##.#..####.#.#.#.#.#.##..###...###.######..#.#.#######.#########.#####..#..###..########.#..##..#..#######..#####.#.#...#####.##.#..########.###.#######.####.#.######....###.###.#.####..#.##.##..##.##...#...#######.#.
###..#.##..##.#..##.###.###..##.####.###.##.###....##..###.##.#..####..####.#####.##..#.#..#####...##.##.#.#...##.#####.########.#....##.##..#####.##.##....#.##..#####.##.#.#.##.#.#######.##....###..##...###.##.#....###..######...##.#..#..###..##...##...##..#.....####..##.####.#..##.#.########.##.#.
###.#####.######...##...##.####.##..####.##.##..#..#..#.###.#..######..#.##.#...#.###.##.#.###...##.#...###..#.#.######.#.##.####.##.#...#..##..#.#..#.###..#....#.###...#......####..##..###..####.#####.##..######.#####.#.######..###...####.###..##...##.....####..#####.#..##.#.#....####.##.##.###....
..#.##..#..#.###.#..##..####.##.###...#.#..#.#.####.####..#...##.#.#.##.#.#####.##.###.####..#####..###..###..##.....#..#...###....###.####.######.##..##.#.###...##.#.#.###.#....###.#.####...##.###.###...#..##.##..###...##.###.##.#.#.##..#.###.#.####.#....#.#......#.##########..#.####.....##.#.#.#..
.#####..##.#####.#####..##...#.######..#.##.###.###.##.#.....####.##..##...##..###...#.#..####....#.###.##....##.#.##..######.##.##.##.#...###...###.#.##.###.###.#####.##.#.###.#...####.##.##.#.##.#.#..##....###.####.##.#..#.##......###.#...#.##.##..###..#..####.##...###.##.#..##..#.####....#.#.....
..#.#.##..###.#..#..#.##...#######.#####..##.#.....##.##.#..###..#.####.....##.##.#####..#...##..##..###.##.###.##..##.##.#...##.####.####.###..##...##.######..####..#..######....###.##....###...####...##...#.#.#####..###.##...#.##.##.#.####.#.#####..####.#.##...##.####..###.##.###...##.###.###..#..
.##.##.#.###.#..####.#.#########.#.#..#...###..##.#.#####.##..##..###.#.###....#......#.##.####.##.#..#.######.#..#.#....#####.#..###.#..#.########.#.#.#...####.####....#.###..####.##...###.##.###.#.##.#####..###..#.##.##....#.#..##..#...###.######..#.#.#.##.##.#.##.#####.##..####.####....#.#####...
##.#..###.##.#.#.#####.#.####.#..#.#.####.#.##..##...##..#....###..#....###.##.####.#.#######...####.###..####....###....###.#..#.#.##.#######..#####.###.##..####.##.####...##.######.##..###..#.#..###.##.#####.#..####.#.#..#.#.#.......####......######..###.#.##.###..##.#.##..#.......#####..####.###.
#.##.##.##.#######..##..#########.#######..###..##.##..#######.....##.#.#..#..#.#.##..######......#.#.###.##.######.####.########.#.#..###...##.##.....####...####.#..#.#..#####..#.##..#.###..########..####..#..###.#.##.##.#####..#..#..##.##.#..###.#.####..#....#.####.###.##.#####.##########..#.#.##.
##.#.#..#########..#.#..##.##..#.####.#########.##.###..#######.##..####.######.#.#.##..###..######.##..#.##.##..#.#....###..#..##...###..####.#.#..#######..#...#..#.#####..#.#.#.######.####.####.###..##...####..####...#.######.#..#.##...#.#.....#.##.....#.####.#.###.#...###..#.##.......#.###.###.#.
#..#.#####......##.....##.###.####..#.#.##.#.#############.#.###.#####..#.##....##.#.#.#....#.#####.#######.##.#.##..#.#######..#.#.######.#..###...#...###.#.#.###.####.#.#.#..#..#.####.#.#####...#.#.#########.#####...############..#.#.#.##..#.##.#.#####.#..###.#.#.##.####..#.#.####..######..#####..
#.######..###.#.##.#.##.#..####..###.#.##.####..####.##.#.#..#.##..####.#..##..####.#..#...##..####..###.#####.##.#...#.##.###.#######.##.##...##.##.####.##..###.##.#.#.###..###.#.###.#.#.###########...##.#.#.#.#...##.####..###.##.####.##.#.###.######.###.#...###.#.###.###..##.###..##.###.######..#.
.#######.##...##....#####.##.####..##.#.#.###.#..#.#...#.###.#..#.#.#.##.#.#..#..###...#..#.#.###.#..##.#.###..###.###..####.###..#..#.####...#.###.##########.###..#.##.###..#########.##..#.#..#.#####.###.#.#.##.##.##.#.##.#.#.#.######.#######.#.#####.##..##..#.......#.#..########.####.#..#####.#...
.#.##.#..#.###.#.#.####..###.##...##.#...#.###.##..##..#.#.##....#..#..##.##..###..#.##..#..####.##...#.##.#....##...#######..#.###.#..##.##.#...###.#####.##..#.#.#.#..####.#####..###..#..##########..#..###.#.#...#...###..#.##.###.##.##.#..#.#.#####...###.#.####..#.##...#.#.....##..#.###....#.###..#
.###.#.#..##...#.###...####.########..##.##..#..#.####.##..#####.#...##########.##.#######.###.##..........##.####..#.##.#.#.#####.###..##.#.#.#..#####...#.#.#####.####...#...############....##.######.####.#.#..#####.####.##..##.######.###.###.###.#.##.###.#####..##.###.##........#.#.##.#.##......#.
#.##.#...#.####.####.#######.#####...##..###.##..###.######.#.#..##..####.####..###.######...###..#####...###.######..###.########.#.###.#..##.######.#.#.#.#.#.####..#######..###..#.#.###..##.###...##.####..#.##.#...#.###..#...##.......##..####..#.##.###.#.....#.##.#..#.###.###.#.###...##.####.##...
##..#..##..#####.##..##.#.#.##.#.########..############..#.##.#.#.##.#.#####.###.###.#..#..###.####...###...##..####.#....###..###....#.#.##.#.#####.###.#..#####...#.####.#####...#.##..###.##.###...#.####..####...######.#.##..##....#.###.##..#.##.#.#.######..####...#..#.###....#.#.###.#...####...###
.##.##.####.#.####.##.###..#..#..#####.##...###.##.###..###...###########.#.#.###.#.##.#..#..#.###.##.#...##.###.####.#.####.##.##.##......#.###.###.#..#.###.##.###.##.#....##.##..#.....#...#######.#.#.#.####.##.###.##...#.#...###.#.##.#..####.#.#######.####....#..#.##.####..##.####.....#########.#.
##...#####....#..##..####.#.#.##....######..#.#.####.#.#####.####..##..####.###...#..#########.#.#.#.########.#.#####..###.###.#.....#..#.######.##.##.#.#..#.#...#..#.###.#.####.##.#.#..#.#.#..#..##.##.#.######.##..#.#.########...##.#.#.##.#####.#.#.#.#.##..####.#...###.##.#.######.#....#####..#.#..
######.##.##.#####..###...###.########.#.#.#.##.##.#.####...####....#..#############.##.##...#.####.###.####..#..###.#.###..##..###.#....#####...###...#.#..##.#.##..#####.##......#.#.####.#####..#..####.##.#..##.#.###.######.#.##.#.#....#.#######.##.#..###.......#....##.##........#.##.#.##.#...#.#..
##.#..###..#..#.########..##.#.#..##..###.#.##...##.#..#.####.##...##..#.#..#..###.######..##.####.#####..#..#.#..##.##..##....##.##.#.##.##.##..########..##.#.#...####...##.#.##.#.#####....##.###.#.##..###.##..#.####.##.###..#.....###.###..###...#.....##.#..#..##......###.####.#.###.###....###.##..
####.##.#.#.##...###..###..######.#####....####.##.#..##.##.##..#####.##....##.#.#.#.##.###.##....##.##.#.###.#.#.#####...#..####...#.###....#.#.##...###..##.#.##.######.####..##.###..##..#####....#..##.###..#..#######.###.####..####.####.#####.#......##.##..#.##.#.##.##..##.####.###..####..#.#.####
.##.#.##.#..#.###..#####.##...#..####..##.####..######..#..######...#...#..##.....#.#...#...#.##.####..###.#.#.##..###.#..###....#.#.#.####.###..###.#..###..##....#.####..##.#.#..#.##.#.#####.....###.############.##.#.#.##....#..#####..#########.###...#.#####...##.##..#.##...##...###.#####.##.##.#.#
.......#.####.##.#####.###.#..###.#.#.#...##..######.....###.#.#.#.#.###...#.#######.##..#####.###..####.######...##....##..#####..####..####.#####.#..#####...######..#.###.#.###########.#...###.#.###...####.######.##.#.#.##########...##..############..####.#.##.##..#..#.######.###.###.###.#.#..###.
########.###...#..##....##..#....####.##.###..#.##..#########....#.##.#..####.#.###..####.#..##.###..##.####.#.##....###.#####.##.###.##.#.##.#.#.#.##...#######..#.###.##.#.#..##.#..#.##..###.#####.#.###.##.##.#..##.#########.#.#######.####.#.....##.#.####.##.###..##.#.####......#.###.#.#######.....
..####.....#####...#.#.#....#.#...#......#.##..###.#..#..##.##.....#.#.#.###.###.#..#.###.##..#.##.##.#..#.#.###.####.##.#...##########.##.#..#.#..####.###....#####..#..##....#.##..#.##.#.###.#.#.##....##....####.#..#####.####.#..#.##########..##...###.#####...##....######.#.#######.#.#...#..#####..
#.....##.###..#.#######..###.########.#.#####..#.###..##.###..##.####..#.....#########.######.##.#.###.#.#######...#..#####....####...#.##..#..#.##.###..#.###.#...####.###.##....#....##..######..#########.##.##.#.##.#.#.#...##..##..#.###.###.#..#.#####....#..#.#.##.###.####.###.#####.#.#######..###.
.#.##..####.#..#.#.##..##.#..###.#.##..##..###..#..###.#...###.##....##...###.##..######..#.#..#.##.##.##.#..##...##.##.######...####...#.##.#.#...###.##.##..##.####.####..####.##.#.#.##.##.###...###.##.#####..###.#......#.##...#..#....###.##.###.#.##.##...##.#####.#.#.#####.##.##.#.#.##..##.#.#..#.
#..##.#..#####...###...#.####..###.####.#.#.....#.####..#####.....###.#.##.#.##.#.####..#.##..#####....###.#.#..#.###..#.#####..##.#..#...##.#..##.#..######.#.##....#....#..##.#####...#.#.###.######.#.##.######.##.#####.##########.#.#.####..#..####.###..#.###..###.##.##..#####.#..#.#...##..#.##.##..
##.##...##...###.#.######....##.####...#.#.#.####...###.....##.#..###.#..#........##.##....#.####..#.#.#.###.###..###...#.###.#####..#.#####.#.###..#..#..#.#####.##..#.###.#.##..###.###..###..###########.......#..##..##.###.#.##...#..##.#.#######....#.#..#.####.###.##.#.#.###.#.#.##.##.#.#...#.##.#.
#.#..####.##...##.#..#.####.#.#####.#..##....#.#.##.##.###..###.#...#####.#..#####.###.#.#.#.#.#.####.#.###..#.##..#.##.##..#.####.#.#####...#####..#....#.#.###.#.##.#####.#####..####.#.#...#####.#####.......#..###...#####.#..#.#.#.#..#.#.######.#######.#####...#.#...###########..####.###.#####...#.
.#...##.#.#.#.#.####.##.#..##..###...###.#...##.##..###.##..###.#.####.#.###..##....##.#.######..#...#.#.####.####.#.#..###..##.##.#.##.###.##..##.###.##.##...############..########......####...###.#.###..####.#....####.#.###.##########...#..#...#.###..###..#.#####.##.##.##.##...####..###..####..#..
.##..###..###.###.#.##.####.######.####.#########.###.#.####.#####.###...#####.#..####...##.###.#.##.#.##.#..##...###.##...##.#.#.####..#.#.##.#..##..#.###..#.......##.#.#..#..#######.##.######..############..###.#.###.#.###.#.#..#..##...###.#.##.###.#.#..##..#.####..#.###...##.###.###.####.#..###.#
##.##.#.#.#...#.####..#..###..#######......####..#####.#..###.#.###.#.##.##.#########.###.#...##...##.#..###.#..#.##..##.#.#####.####.....###...#...##.#.##.##..#.#.#..##.#..#.####.#..###.#.##..#.#.##.#########.##.#.###...#.#...#.###.###.....#....##..#..###.#.#..#..###..#.###.##.#...###...#.##..###..
.###...#.##.##..##.#####..##...##...#.##..#..#.#.#.###.#.#######.###..##...#.#..###....###.###.##..###..####...#..##..#....###...###.#..#####.#####...#.#..###..#######..####.###.#..#..#.#####...#.#.#.#.######.#.#.#..#.###.#######..#..#..##.#..####...##.###.#######.####.#.####.####.##.......####...#.
.####.#.#######..###..#.#..#.#.####..###.###...##.###.##.##...#####.##.#..##....##.#.###.#.#..#...#.###.###.###.###.##.#..###.##########.####.#....#.#..##..##..##...##.#..#######.#..###.###.########.###..###..####.#.#.#...####.###.#...#########..#.##.######.#.##..#.###.#..####.#..###...#####.##.#.#.
####..##############.###.#####.##.#.....##.##....#.#.##.###.#########.#####.##.....##.#..#.##..#.###.#...#.###.#.#####.#.###########..##.###...##.##...##..##..##.#.###..####...#.###..#..#.#..#.####.####..####.##.#####....#....##.#..##.#.#####....####.#.######.######.#.##.#.#####..#.#######.#####....
.#.###.##.#..#.####.###.####...#####..###.#..####.#.#.########..#..##..##.########.#....##..#.#.#.#..#.##..##...#...####.#.##....###.##.##.#####...#.#.#.##.#.#####.#..##...##.#...####.######.####....##...##.####.#####.##.###...#.#.#####.#.###.###..###.#.#######...##.###.##.#...#..###.#####.#.#.#....
..###.####.#.........##.###.#.#.#.##.##.###.###..#.###.#..##############.#####..#######.###..#####..####.##.###.....#..#.#####..###..#.###.####.#..###..#.####.#...##.##.####.#.##..#..#######.###.....#...#....#####.#.###.#.#.##.##..#########...###..####...#####..#....###..######......##.###.#....#.#.
####.##..#..##..#.###...#.##.#.####.#...#######.#.##.##..#..###.#.#.#####.##########.#..####..####..#####...#.#.######.##.#..##.#.#..###.##.#...#..##.##..#.#.#######.###.##.###.#####.##..##.###.###.#######..###..###########.##...##.#..##.##...###.####.####..##.#..#####.#..######.#....##..#####...#..
.#.#....##.########.##.###.....#.#####.###..#..#....####..##.######..###......#..######..##..###.###..###.##.#####..###....###.####.####.#.#####.###.#..#.#.#######.##.###..##.####.######..######...#####.######..###.####..##..#.##.#.#.##.##.###.#####.#..#..#....##.#.##..#####.##########.#######.###..
.#..#...######..#####.##.##.###.#.#..#.########.#..#..###..##..#...#..##.##....##.##.##.##.#..##.#..##.#.######..##..####..#.#.#.#######..###..###.##.#.##...###...#......#..#.#.####.####.#####.#.##.##.##..#.####.#.#########.##...#...###.####...#.#.##################..#.###.##..#.#######..##.#..#.#..
#.###...#..#.######.#...#..###.####...##.###########.#####.####.#.#....##.#.#####.##.###.#..#.####.##.###.#....#..####.#..##..#.#.#.######.#.####..#..#.#####..##..#.##..##.###.##.####.#.......#.#...#..##..##.#.###.#####.##....#####.###.##..###.#.#.#..#.###.########.###.#...##...##....#####.#.##..##.
##.....#....#.#..#######.##.###..#####.##..######....##.##.##..##.##.###...#.#.#.#.#..###.#####...####....#.#...#.####..#....#.#.#..#########.########.#.#.#.#...##..##..#.#.#..##.##.###..####.#..#...#.#..###.#.######.#####.##..##.#.#..#...##.#.#####....##.######.#.####.########.#...##..##....##...##
######.#.####.####.#..###.#.#.#.#..##.#.##..##..##.##..###..###..#######..##.####..#.####.##.#.##.#..#.###..##....#.#.##..#######.#.#...#.#####..####.#.##.##.#.###.##.#.#....##.###.#.#..#########..#.###..##..#.##.#....#..#.####.#.#.#.#.#.###.###.##...#..####...###.###.#.##.####.###.#.#####...##..#.#
##..##.#.#..##.##..#.#.##.#.#.###.######.##.#####.####..###.#####.##.####...#.#.###..##.###..#..##.#..##.###.#.#.#######.##.#.#..###..##..##.#.######.##...###.#.###...####.#.#.##.#.######.#.####...#..######.##..##.##.##.#.##..#..#.#...######.#..##.#.#...####.....######.#..#.##.#...#....#####..##.#..
.#.####.###.#..##.#...##..##.#####.##.#.##.####...#.#..#.##.#....#.####.#.####.#.####.####..####.###.###.###.#####.####.##.#.###........###..######..##.#.#..######...#.#############...##.###.#.#.#.#.##.#.###.#####.#.##.#.##....#.#..####.#.#.##.###..##...##.###..#.##.#.#.#..#.####.##.##...#.....#.##.
#.##..#.##.####......####.#.##.#.###....#.#.#..####..#.#####.###.######.###.##...#.##..####.#..####.##...####.#..##.##.#..#.#.#.......####..###.##.#.#..#.##.#.#.##.##.#...#.####.#######.##.#######...#..#..#.#######.##...#.###...##.#.##.##.###..###.#######.#...########.###..#...#...###.####.#######..
#.###.##..###.##.########.#.#####.#.#.######.#.##.#.#.##.#.##.######.#..#.###.#.....#..##.#####.#####.#...##.#.####...#.#.#####.##.###.##...#.#..##..####.####.######.#.###.##.###.##...#.......###.######.#.#.##.##.#..###...#.#.#..#...#..#..##...##....########..#.##.##..##..##.##.#.###.#############.#
###.##########..##..#########..##.###..#####..#.#########..#.#...#.##...#.#..####.##.#...#.##..#.###.##...##.#######.###..#####.#####...##.####..#.####..#...#.#..##..####.#######..#..#..###.##.#.#..###.#.###############..######.##.#.#..####.#.##.#.####.###.#####.##.###.###.#.#.#.####..#.#.#####.....
##..##.###########..##...####.#######.###.#########...#..#.##.#.#.##.##.#.#.###.#.###.##.####.##...#..#..#..###..#######.#.###.##.#.####..##..##.##.###.#.##...##.##.#.#..##.####.##.#####..###...#.##..##.####..#..#.##.##..######...##.#########.###...###.####.#.#.#.####.#..#.##.####.#.#########.#..##.
##..#.#.###..#..#.###...#.#..##..##..#.#...##..#.#.#.#####.##..#.#.##.########.#####.#...#.#########.#..#.#.#.#..###########..##.###.##..#..#.#####..###.#.##.###..###.##.##.###.#..##.##########.##.#.#.###.####.#...#.#.##.#####...###.###.#.#...#.#.##..#..##..##.###.###..##.####.#..########.##....###.
#######..##.###.#.###.#..#########..#.####.###.#.##.#.....####.#.###.#####.#.##.###...###.#..##.####..##....##...##.###...#...####....##.####.####.####.##...#.#.####..##.#...##.###.###.###....####..##..####..#####.#..###.######..##.#..#.#.######..##.###.##.#.#.###.#.##.######.#.#.#..#.########..###.
..#.##.##.#.####.......#.##..####.####.###.##.#..#######.###..###..#.##.##..#...###.#.#...#.#.#######..###.#.##..#.#.##.#.####.#.#..#..#.#..##.###.##.###.#.#.#####..##.####.#..#...#.#.##.###.####.#.###..#...###......#..#.##.#.#####.#.##.##.#...#.##...####.##..#########..###.###..#.#..##.###...##.##.
#.#.###.#.##.###.#.##.################.##.##..#.##.###.#.#..##.#.#..#..######.#....###.###.###.####.######.##.#.#.###.#.##...#####.#####.##..###.#.#.##..###.#.#.##.#...#.#.##.###....#.#.###..##..###..#.##...####.###.#..####.#..##..#..#..##.##.#.#..#######.####...##..##...##.##.##..####.#...#.#..##..
#..###.##.###.#######...#.#.#.#.#..#.##.##.####.##.#######..######.#...#....#.#.#####..####.#.###..#.##.##.#....###.#.##.#.....##..##.#.#.########...###.#..#.##...#####..##.#.###......#.....##.####.#..##.#.#...###..#.######.....#####.#..#...#####.####..####.####.......#.###....##..#..#.##.#.#...#.#.
##.##.#.##.#.###.######.####....##.#######..##..#..####.####.##...##.#..####.#.#.###..#.#.###.###...####.##..#.##..##.####.#.#.#...####.#...###.###.#.####.#....####..###.##....#.#.#####...#.###....##.####...#.#.####.####.#####.#.###.#.#...###.##.####.##.#####..####.##..##.#.#.#...##..###.#####..##..
###..##....###.#######.#.###...#####.#.#..##.###.###..#.#...#..###..#..#.###.########....#..##.#####..#.#..##.#.#.##.##.###.#.##..##.##.#####.#.#.####...##....#.#..####.#..#..#.#.#####.....##...###..###...##.##.#..#######.####.###..##..#.##.##..#.#.####..##...####..#..#.######.##..###...#..###..##.#
##....#######.#...#.###.######.#....###..##.##.##.###.##....#..###..###...#..###.....###.###.#.##.###..#...#..##.##.#####.##..###.#.####.####.##.#..#..######.#....#######.#######.#####...#....##.#.#.###..#.##.#.#.#...####...######.#.##########.#.####.#.##..#...##.##.#.#.####.############.#.##.#..##.
.#.##.##.....###.#..#....####.#..#..#.#.#######..###.##.###.#..#.#.#.###.############.##.#.#..#.##...#.##..##..##.##....#.##.#####.##...#...##..#.#.####.#########...#.#.#.#.#######..#####.#..#.###...#.##.###.####....####.#.#.###.#....##.####..#####.####..#..##.#..#...##.#####...###########.###...##.
###.####.######.###.####.#####.#.#.####..#..##.##.##.##..#..##..##.###.#.###.########.#.##.##.####.#.##########.#####.#.#.#....####.##.##..##...#.##...##.#..#.####.#.##.##...###.##...##.#.##..#..#####.#...#.###.#.#.#.#...#.#.#.#.#.###.####.######...###.###.#####.###...#..###.##.####..#...######.##..
##..####.###.#......##########..#########.###.#..###.###.#..####...##...###....#.#.###...#.#.#.#.####.###.#.#####.######.#.#####.#.############.###.#...#.######.#.##.#.###...########.#..##.##.########.######.#.##.##..#.###....###.###..####..#.##.....#.###.#..#..###.####.###########..#####..#.....#..
#.#####.#.####.#.###.##.####.##.###.#....#..###.#.#..#.###.###...#.###.#.##.###.#####.###.#.#.#..#..#..#.#######.###...##########....####..###.##.####.#....###.####..##.#.#..######..##.#.##..####..#######.####...###...##.#....#.#..######....##.#..####..##.##..###.####..#.##...##..#.###..#..#.##..#..
###.#.#######.######..#####.#.##..##.#..#..#.##.#####.#.......#.######..#..#..########..#..##..#......#.....#.##...##.#.####..#..##.#####################..##..###....#####..#########..##..#.##.#####...##...##.####.#.######..###.########.##..##.###.######.#####.#..#..###..#.#..#.#.#.##...#.##.##.##..
####..#.#.####.#.#..#.##.###.#.#.#####.#....#.#...#########.#.##.##.#..##...#..#.#.##.###.##.#.#.##..####..###.###.###.##.#.###.#..#..#...##.####.#.#.##.###.###.####.##.##.####...#...#.####..##.#..##...##..##.###.#.##.##.#...#.######..#.#.#.##.#.##..#...#.##.#.#####..#.#.#.#.......#....#...###.#..#.
##.#.#######.########.#.#.#.##.#######.###..#.#.#.#.#####.##..##.#..#..####.#..######.###.###.###.#####..#####...#.####.#..##.######.#.#..#.######..####.#####.#####.##.....#####...#.#####....#.######...##..####..##.###..#####......###.....###.#..########.#.###..########.#....###.#####.#.##.#.#.##.#.
########.#.#..#.###...#..####.#.#.##..#.#.##.##.####.##.#.##.#.###...#..###.#..######..#.#...#..#.#######...##..#..###.###.##...######.#.########...###.########.##.###..##.###....#.##.#.####.....##.###.#####.#####..#.##...#....#....##.####..##.#.#...#..#.#.#.#..#.####...#.##.##.#.####..#####....#..#
###.#.###.#...####.#...#..#..####..##..#..#.####.#..#########...##.#.#.#.#####.#.#.###.#....#..##.#.#.#.#..#.#.##.#..#...####.####.##.###..####.##..###....#...###.#.#.#.####.##.######..#..##.###..#.#.##...##.#..#...#.#..##.#.##.##.####.##.##..#.#####.#.#....##.####..#.##.###.######.#.#.###.#######..
########.#..#.##.#.#..#.#####..##...#####..##.##...#.###..#..#.#..##.#####..###.##.######.###.#######.###.##.##..#..#.###.##.##.####.####..###...#######.####..####.###.....#.#####.##.#..##.#.###...##.#..#...#.#.#.###.#...##..####..#######.#....#.###.########...##..##...#####.###.#.#..#####..#.#...#.
#.#.#.###.###.#.#######.###..##.....#.##.###.##..###.##.##.##..######.#######.#.##..#.#..#####..##########.##.#...##########.#.#.#..###.###########...##.########.#.#.####.#.#.##..##....####..##.##.#.####...##...#####.#..###..#..######.#.##..#..#..#.##.##.#.#.###.###....#.##.#..#.#.#.##.##..#####..##
.##.#.#.#...#...###.#.##.##.####.#..####..##############.#####.#..###..#.#.###..####.....##..###...#..#.#....###..#.#..#.#.#.#.#.##.###.##.###.###.###.#...#####....#.#.###.#.###.#..###.###.#.###.##.#..###.#.###...#.####.#....#.##########.#.###.#.####...####.###.###..##.#####.######.#.#####.#..####..
.####...#.#.##.#...####.##.##..#######....#.###....####.##...##.#.####.##.#.#...##..##.####.###.##.#..##.##..#...####.#...#.###.##.#.####...#.#.#.###..##.##.#....##.#.##.#..##.###.#.#####....#########..#..#.#.##.##.##..##.##.######.#..##.###.#.#####.#....#####.##.###...#...#..####.#.#..####..###.#..
#.##.##.##.##.######..#.#..#.####.#...###.#..#.##...##..#...#.#...#####.###.######.##.#..##.#..#...####...#..##..##..#.#.#.###..#.##.####.#.######.#.##.#..###.######.####.##.####..#.#..####.#.####....######...####.#.##....########.#...###....#..##.#.#.#...#####..###.#..######..#.###.##...####.###.#.
..##.##.##..#.####.#....##....###..###.##.###.###.##.##...##..#.#..#...#...###.#####..###..####.###.##...####..#..##.#.######.#.###.#...#.#..####....######.#############..#..##.##..####.##.#.##..######.#....####..####.####.####.#.##.#####.#.###.#####.#..#####.......#.###.#####..#.....#.#...##.##.#..
..#..###...##.#.##.###.########.####.#####.#.####.#.#..#.#.#.#####.#.#.###..#.##..##.#######..########.###.#.##.#.#.####......###.######..##..#.#.####....#######.#####.####.....##.###.#.#..#..##.#..#...#.#..#.###..#.###.#.#.#.##.#.#..#.###...####.##...#..#######.###..#####...#.#####..###.###..#..#.#
#..##.#.##.########.###.######..#.##..###..####.#..##..##..#...##.###.##.#..##.##.##.####.###.##.##..#.#.##...######.####.#.####.#...##.###..##.......#.....##.###..#.##.##.#.#.##..#.#..##.###...#..####.##.##..#######.######..###.###..###.####.#.##..#.##.####.####.###########.####..###.#.#####.###...
######....####..##.#.######..#.#..##.#.#.########..#.#.#####.#...#####...#####....##..##...#.#..#....#####.##..#.#..###.####.####.#.###.######...####.#..##..#.#..##.#.###########..###.#.#.###.####.##.#..#.#..##.#.###.#####.#####.##.##.#####..###.###..###.#############.#.#..#......#..#..##..##.##....
#.###.#.#.###.#...#.##.#..#....#.#..#.#...#.##..#.###..#####.###...#.#..####.##..###########.####.....#.##..#.####.##.##..##.#####..##..##.#..###.#.####.######.#..##..#####..#.##..##.#.#...##.#...#.#####.######.###.#...#...##.#.#.##..##.#.###....#.#...#.#.#.##.###.####.##.##.#..#.#######.##...#..##.
###.#..###.#.#.#..#.###...##..######..#.....#..###.#..#####.##.#.#.###########.##.#####.....###.#..#.#.#####....##..##...##.#.####.###.##..##..#..#...##..#..#...#####..##.##.###...######.######.#.#.##.##..#.#..#..########..#.##..#..##.#.###.....###.###...#..##...#.######..##.....#####....#####.#..#.
...########...#..##..##.##...##.###.###..#.#.#.##.#.#..####..#..#.###.#.######..#.#.####.##...#.###.#.#.#.##...######..##.######..#####..##.###....#######.##.#..#.....###.#.##...#.#.#..#.###.######.....###.#.#.########..##..#.#..#...#..#.##.#..##.###.#..##..##.#.##.##..#....##.##..##.##.##.###.###.#
..#########.###..#.#...##...#####.###..##.####.####....#..###.##.##.#.###.#.##.#####.#..##.##..##..#.##...######.########....##.#.########..##...#.#.#..##.#...##..#...##.#..#####.##...####.#####.##...###...#####.#.#..###..####.##.#...##.#.##.#.#.####...##...#.#.##..##########..###.#....###.#.#...#..
##.....###.#.#.##...####.#.#..#########..##..#.#.#.###.##.#..#..#######.##########.#.#..######.#.#####.#.#.####.#####.####.##.###.###.####..##.####.#....#.###..##..#.#..####.#.#..#.###..#####.#####..#..#######.#..##...#.#.##.#.##.#.##..####.###.#####....#.############.###.#.#..#....#####.#.####..#..
#..#####.####.##.####...#.####.#..#..#..##.....###.##....#.#.###.#...###.#.####..#.####..#.##.##.###.###.###.#..#...##.##.##...##.##.#####.#.##...###.##..#.####.#######.#..###.##.#...#...#.....#####.######.###.##.#########.######.###.#.#.#..####.##.##.#..#.#.###.########..#.#########.###..###..###..
#...#..#...##.###..###..#..###.#####.######..###.#.##.#.###..#######.#.##.#..##...#.###.#..####.###.#...#.#####....####.##...#..###.#.#..#.#####...##......####.#.######.#..####...###.###.#..###....#..##########..#.####.#....###.##.####.##.##########..##...#..###..#####.##.###########..#####.#.##..##
#.#.##.#...####..###.#..#......#####...##########.###.#.#.#.#.####.###.##.####..#####..##.###.#.#####.#...###.....###..##.###########.####...#.##..##.###..########....#######...###..#.#..#.#..###..##..####.#.###.####.####.#####.#######.#.#####.#####.#.####..##.##..#.##.####..#..####.######.##.#.#...
.##..###.###.####.##..#..##.#####..#.#.###..##.##.#####.####.#######..#.####.##.#.#.#####.###.#.#..#.###.....##..###.#####.#..#.####.##.#.######.#..##.#.#.##.#.#..#####.##.#.###..#..##.######..#.##.#.###.##.##.#.###..###...####....#..##..###.........##...###.#.#.#######.##...#..##.##....####.####...
...#########.#.#.###..###...####..##..#.###.##..#.#.#.####.##.####.##.##.#..###....#..##....#.#.###...##..###.#.#.#..##.#..#.#.##.#.#######...#.######.....####..###.####.##..####.#..####..#.#...##.##.##.#.#.##...#..#.#####.#.....#..###.####..#.##.##..#.###.####.###..#########..##.#.##.#.####.##..#..
##..###.#.##.##.###..#...#.###.###.##########..###.#...#...#...#.#.###..#.#.###.#...##...##.#.##...#.#....###.###..#.######.#.##.###....#######..#..###.#.###.####.#.#####.##.###.#.##.#.##...###.#...###..###.####...#.##.#..##.#####.#..#.#.###..###.###.###..##.#.##.####..#######...####..#....######.#.
#..######.####...##.#..#####.###...###..####...#..#...####.#..#####.#...#..##.#.#..######.##..######.#.#..#####....##.....##.###..##...##..#.###.#.##..##.#..####.#.##.#.#####.#.#######.##..#.##..#.#######..##..#.#..####..###..#..#....#.###.#.#.####...##.#.#######.#.####.#######.#.##.....##.#..#....#
.#.##....#########..##########.##.#...#..######.#.##...####.#.######.##..#.#####....###..#.#..#...#.####..###.#....##.####.####...#.#...##.##.#..###.#..#.##.#.####.##..#.#..#.##########...#####.####..######.##..#....#####.##.####.###..#######.#.##..#######.#...####.##.######.#.#.#....#..##..##.###..
..##..#..#...#.#.##.##....##.#.#####...##.##..#...###..###.##.#.######.#.#.#...#...###.##.##....####.#.###.#...#####...#..#.....###.#.#.#.########..###.#..###.#.##.###..#...#.###.#.#...##.#..###..###.#.####.#.#...#####.#...#.......##########..#.##.##..####..#..###.#.#..#.#..#..#..######...##..##....
##.##.######.#.#.###.###...##.....###.###.#.##.#.#.###.###.....##.######.#.#.#.#.##.####.#.....##..#.##.....###..##.##...###.###.#.####.##.#.##.####..###.#.###.###.#...##.#...##..######.###.##.##..#...###.#####.###....#.#.#..##...#.##..##.#.##.#.#####.####.####.#.#.##..#....#..##..#.##.##.###.##.#..
.#.###.#.###..##..#..###...##..##...#..##..######.####..########.###....######.#.##...###.##.######.###.#.#..#.#.##.#####.##.#.#...#.#.#####..#.##...#.##...#.#.#....##..#..##....#..##.###.#...##.#.#.#.#..###..###..###.####.#.#.###....##.#######..#.#####.#...#......##.#.##...###..#.##.###.#.##.#.....
..#####.##.#.####..##.###..#.##.#.#..####.#..###.######.###.###...#....#.#..##.#.#.##.####.#.###....##.#....###.##.####.###.##.#.#..#######..#.#.##.#.#######....####.#..######.#..#.###..####..######...#.##.#.##..#######.####.###.##.###.###.######.#.##.##.......#...###....#.#...###..#...#.#######...#
.######.#.#..##.##.#####.#.#.#.#####.#.#.#####.#..#####.###.#...#.#####...#.####.####..##.#.##..###.##.#####.####.#.####.##..#.#.######.######..##..#.###########.###.#.###.###.####..##..####.##.###...####.##.###.#..###.######.#..######.##...##..#.###.#.###.#.##.#.##....########.######....#..##..#...
##....#.####.###..#####.#.###..#...##.#.###.#..##.##.##.##.#.##.##.###.#.#########..######.##..#..#.#.#...#.##...##....#.##.#.##.#.####...###..#..#..##.##.#..###..#.#.#.######.##......#.#..###.#####..####....#...########..####....#.####.##.#..###.#.#.....#.#.##.######.##.#.#.####....####.#..#..#..#.
######...#...###.##.#.#####.#.#..#.##..######.##.####.#####....#..##....##.##....#.##.###...#..#.#.#..###..#.##.#.##.####.#####.##.##...########...##.#####..#.##.###..######.##..###..#.##..#...#...#.#.#.....#.###.######...###.##.####..###...##.##....#..##..###..####.#..##.#.##.####.#..###..###......
.######.#####.#.#.########......#.####...###.####..#..#...##...##..##.###.#...###...#.##.#.....###..#..#.#....###...#....##.#.#.##..#.######..#####.##.#..##.##.###.#..#.#####...##..#.#.####.###....##.###..##.###..####.#.##.##....#.#..####..#.#...##.##..#..#..###.....#...#.###.##.##.##.###.#.#.#...#.
...#.#.#..##..##.##.#.##...##..####.#.##..####....#####.#..#####....##.######..##.########...#.####.#####..###.#.##..#.######.##.######.#.####.#..#...####.##.######.###...#####..##..##...#.######..####.#.#######.########.##.######.#############.#..##...####.#...##..##..#...####.##.#.#.##...#..#.###.
.###.#....########.####.###.###.#...####.##########..#.##...##..#..#..#.##.###.#..###..##...####....##.##.#.#..##..#..#..#..#..##..#..##..####..#.##.###.#..#..#.#....#########.###...###..##..##.#.##.###.###.##...####.#.#..###.####.##...#.#.#.##.###....###..###.##..#####.#...#..#.#####..##########...
##.##....##....#.###.###.##...######..#.##....#..#.####..##.###.###...####.#####.#.##.##.###.##......##.#..##.#.#....#.#..##..#.#.#.#..#####..#####.##.#...#.#......#.#.####.#..###..###.#.#####..###..###...#############.#..#..##..##.#.#.#######...###.########..###..#..##.######..#.#.##.#..#..#.#.###.
##..###.####......##....###..#...###....#.###.#.###..###..#.#####.##.###..#.###..#.#####..#.#.#.##.#.#..#######.######.#.#.#.####.#.##..###..##.##..#...#...#..#.##..#.##.#.#.####.####.##########..###..######.###..#.#...#....####...#####.#####.#.##.###.#.##########.#.#.###..###..#..##.##.###.###.#..#
.#..##.##.###.#.#.#.#.##.##.####.#....##.##..##.##.##.#####.#...#.#..######..#.###...##...#.###.#.#..##..##.#####.###...#######.#..######...#..#.#.#.#.##.#...#.##.#.#.##.###.####..##.##.#..#.##.##########.#.###..#.#.##...#.###.##.##.####..#.#.#.#....#####..####.###.#...##.#.#...####.#.#.###.#.###...
#####....#...######.###.#.#.#.##.#.#####.#...#...###.##.###..####..#.#####.#.#####.#..####..#.#.###.#.###.####.#..#####.##..##########..#.#.#.###.###....##..#.##.##..####.####..#######...###.#.####.####..#..#..####.###.##.########.####.#####.#####.#.####.###.##.####..#...##..#.##.#.######.#....#....
#####.#..##..#.##..#....#.#..####..###...#...#.#.####.....#####.#####..#.#..#.###.#..#.###.####.#.#.#..##.##.###.#####.#..###..#..#.#.#####.#.#....##..#..##.##.######.#.####.#.##.#...#..###...#....######.###..#.#####.#.#..############..#....#...##.#####.####.##.##.##.#..######.#.#.##.#.#.######..##.
.#..####.#...####.###.###.###.#..#######..#####.##..#.#.####..###.##.#.#...########.#.##.##.#..#.....#.####.#.####.###.#..#..###.##.#.#####.....###.###..#....##.#.##.#.##..###.#..#.#.#..###.###.#####.####.#####.####...#####.#.##.#..#.#.##..#...#.#.##....###..##.##..#.#...###..#..#.#.#..##.....#.#...
.#####.###.##...######..##########....##.#......#.#..##.##.#....#.#####.#.#.######.##..#...##.#######..###.#....##.#.###.##....######.##..#.##.##..###..####..#..#.####.#..#####...##.##.####.#######...##.#.####.#.#.##.#.#..#...#########.#..#.#.####..#####.##.##..####..#.###..##.#.##.###.##..###.#..#.
#...#...#..##.###..##..##..##.##..#.#.##.#..####..#...####.###.####.###.#.##..####...##########.#.##.#...#.###..#....####.#.###..#...###..#.#...##.#.########..##..#....##...#.#..###.##..#..#####.###.###.#.###...#.....####..##.#..###..#....#....#####..##.###.##..#..###..#.#...##.###.###.#..#####.#.#.
..#.#.##...###..#..###...###..##.##.#..#.#..###.#...####..###.#..#.########.#.###.#...#...#.#.#.##.###..####..#####..#.####.######.#.##.##.##.########..###.....###.##.#.#.#.#.###.#.###.......######..#.....#..#..#...####..#.####..#.######..#####.##...##.#.##..#.#..##.#.######..####.#.###..#..###.###.
#...#.##..##.#.####.#.##..####..#.##.#####..##.#.#.##########.###..####.#..#.#.####.#.#####.####.#.#.####.#.##..###...#...#.#..#.#.#.#....#.#...#.##.#..#...#.##.###.##.##..#####.###.#.###.#....#####...###.....#..##.#.##...####.###.############.#.######.#.###.##.####..###.####.#.....#.##.##.######.#.
#####..#.###.#.##.###.#######.###.......######.##.#...#.....#.#####..###...##.###.##..#...#..########.########.##.######.###...####..#...#...#...##.###.#.###..##..#.#..####....##.......#..##..#####..#..#####...#..#..##..#.####....###.....###.#...######.####.....#.###.#####...#....####.#######.#...#.
#######..#.#..###...##.##..#....#...#####..##.##.#.#.###.###..##.##..#.#.###.##.###..###..####.#..##..#..###.#.#.#.###.###.##...####..##.#.#.####.#.##....###...####.####...##.####...#..#####..#.....##.#.##...##.##.##...####..#.######..#..#.####...#.##.#.#.#.####...###.#..#.##.##..###.#......##...#..
.######.##.###......##..#....#...#..###..#.###.####.###...###...#..##...###..#...###...#.#.##...###.#..#######.##.###.#####..##...###..##.#.##...#....#.###.##.##..#.######.###...#...#..####.###.#.#.##########.####.#....#.#..##.#####.#.##.####.##..#..###.#.#...##.###..##...#..#..##..#..##.##.##.##...
#####..##.######.#...##.###......####......#.####.####.##.#####.#######.###....###.###..#.#.##..######...#.##.###.####...##.##..##.....###.#...#.#.###.##..##.#..##.#..######...####..#...#.#.....#.####.####.#.###.#.##..#..##.#.#.#..#..######..####.#.##..#.###.#######.##.##.#######.#..###.#..#.####...
##.##..#..#..##...#..##...#.########.#########.####.######..####.##.#..#....######..####..##..#....#..#.#..#####..########.######...#...#..####..##..#.##..#.#.######.##..##.#.#.#.#.#.###..##.###..####.#####.###.#.#.#...##.#####.###..#######...##...#.##.######........#...##.#..##..#.#.###...#####....
....##.#.##.##############..#..##.#..##.##..#...#.######.#.#.#...####..###.#..###.##..#.#.##.##....#..####.#.###..###.####.#..#..##.##...#.#.####.####..###...#.#..###.####...######.######.##.#.##.##.###..#....#####..#.#.#.#.#..##.###..#####.###.###.########..#.#####.###.##.#######..#..####.######...
.#..##.###..#########......##..###..#.###.####.####.#######..##....###.#.#...######.###..##...#.#####.####..#.####....###.####.###..###.##.#.#.##.###.#######..#.##...##..###.#.##....####.####..###..#####..#####.##..##.###...###..###..#####..#..#.##.#..###.#.###########.#####.##.##.##..##..#...#.#.#.
##..##.#.##..##..###..#####.##.###.#####.######.######..##.####..######.#...###...###.#.##.#####.#.#.##.##.####.##.####.#..###..#.############.###.#..#..##...#..#####.#####..#.####..#.#.##..##.###..####.##.##.##.#.##...########.##.####.#.#.#...#.....#...#...##.#.##..#..#.#..#.###.###....#####.##.###
#.###......###.##..##.#.#.####.####..##.#.###.##.#.##.######.#..###..##.##.##.###.##.##.####.#....##...####.####.#.###.###..#####.##...#..#.#.#.##.#.#.###.######..#.#...####.#.....###.##...####.#.##.##########.#.##.#.######.#.#.##..##...#.#.######.##..##.###..#..##.##.##.####.###.###....#.######..#.
##..###.###.###..#.###.######.##.#...##.##.##.####.....##....########...##.###...###.###.#####..######.###...#####.######.#.####.###..##..####..#.#.######..##.###...###.#####.#...##.#####.######...###..##.#########.....#.#####.#..#.#..########.#.###..###.#....####.#.#.#.##.########..#.##.##.#.##...#
..#.....#.##.####.#####.......####..#.#...############..##..#..#..###..#...####.###.#.#...#.#...#.##.#..#..###.###..##..##..##.##.######.#.#####.###.####.#.###.#...#.##..#.##.####...###.#.####..#..#..###.#.##..###.###.######.##.#.####.#...######.##.##...#.####..#.#...###.#.##..##.##.#....######.#...
.########.#.#.#.##.#########.#####..###.###..#.##.##.#####.#..#.#..#####.##.#.#################.##...###.##.#..#.####...#######..#.###...####..#.######.#.###...###..#.#.###..#..#.#....#..##.#..##.####.#####..##.....##..#......##..##.##..#..###.####...###.#..#..#....###..###...###..#....###.####..###
#####.####.#.#.##.######.####.#..###.#..#####.#####.###.###.#.....##...######.#.####.###.###.#.###.###.###.###.#####.###...###.###....#.#.##.#....##..###...#..##.#########..##.######.#.########.###..#.######.#..#.#...####.##.##.#..#...####.######..#.##..#.#####.##.##.#.##..#.###.#..####.....#..#.##.
####..####..##...####..#.##.#.##..#.#....#...######...##....##.#.#.####.####.###.##.##.#.#####...##.###...##.#####.#..##.###.#...##...#.#####....##...###...##.#..#.#.####.##...#.##..###..#####.#..#.##..####....#.###..#..##.........#.#..#..#.#.....##..#.#.#####.###.##.#..#.#.#.#####.##..###.##.##.#..
#.###...#..#######.#####.###..#.######.#######.###########.##.#.####.###.#.#...##.##.#....###.##...#######..##.##.##.#.####.#######.#####.##...###.#####.###..#######.#..#...#####.###..####...#....##....##..###.##.#.###.##.#######..#.###...#..#..#.#.##.############..####.##...#.##.###.#.##.#####...#.
...#.##..#.#####.###.##.###.##.#.#..##.#####.#####..###..#..####.##..#######.###..######.###...###..#####.#.###.###.##.#####.#.#####.#..#######.#####.####...######.....###.#.#.###.####.##.#####.####.#..#..#..#.##.#..#######..##..####........##.#..#..##.#..#.###.#.##.#.##..######.#.#.#....##.###.#..#
.##.##.######.##.##.##.#####.#.#...#...##.##.#.#.#..##.#.#..###.#...##..#.#.#...##.#.##.###..#.###.#..#########.#.#....#####.##...#..##.##..#.#.#.###.#.####.##.##.#.#..#######....###.##..###..####....#.#.#.####..#...#.#.#.###.##....#...#####.#.##.##.####..#####.#.##.###.#.#.#.....#..##..#.###.##...#
#######.#######.#..#..##.######.#...###.#.####.#.#.####..#..#..###.#.#..##...###..#...##.#########.######.#####...##....##.#..########.###...#.#.#.#.####.#.####.##..#..#...#.#########..##.#.#.##.##.#####.#.##..#.##....#..##.#...#######...##.#.##...##.#...####..#...##..###........#.#.#...###...#.##..
####..#.##.##.#..##.###.###..###..##.#..#.##.##..####.####..##..##.#..#######.####.#.###...##..####....##.###.####..###.#.#.#..#..##.#####...##.##...###..##..#..#...#.####.##.##.#.##.###.#.#...#.#.#....#...####.####.###.##.#####.#...####...######.#..#.###..#.#.#..#..###..#..#####.###.#.##..###......
.##.########..#.##.#.##.####..#####.##.###...#.#######.#########..#.##.#.###.######.#######...#####.###....#.##.#.###.####.#.##.##.#..###.#.########...###.#######..#####.##.#.##...#..#.#.#####.#.#...##.##...#...######.#.#####.###..#..##.#...#.#.###.#.#.#.#.#.#####.#####.....##..#...######.####..####
.#...#..####.###.#..#..#.#....#.#.##.##.##.##.#.#.###.##....#..###..###.#.#.#...####...####.#####.#.#.#.##..##.##..###..##..##...########.#.######...#.##..#.#.##..##.###########.##..##.##.##...#.##.###.##.#....#.#.###.##..#..#..#.####.###.##.####.##...#.#.#.###.######..##.#.#..##.##.#.#....###.#.#.#
.##.##.##...#.#...####...#####.##.####.###.####....###.####.#######.#..##.#.###..#..#.#.#.########.##.####.#.######.#..##.#.#.##..####.###.####.#..########....##.#..#.#.#..#..###.#.##.######..############.##.###############.##...###..####.#..#####.##.#..##..#..##..#.###....###.#####....##.######.#..
#..#..#####..#..#.##...#..###.....#..#.#..#########.####.######.##...##.#.######.#.####....##.####.#..#.##.#.##..####..#.######.##.##.#.####.......###...####.##.#.####.#...#....###.###..#..#.#..#...#..##.##.#.......#.#####.#..#######...#.##..#.#####.#.####..##.#.##..######.####.#.#.#...##.#####.....
#.########.##.#.##.####..#.#########...#.#.#....#.#.#####..###...#.##.#.#.#...#..###.###.#.#..#.#####.#.#.#..##.....##.#.####.##.#.###.##.##.##.##.##..##..##..###....#.....##.####..##..##.#..##..###...###.##.#..#..#..#.##.#..####.######.###.#.###.##...########.#..#..###..###..##.......#.###..###..#.
#.###...###...#.#.#..######..##.#.##..#.#####.##..#.####.#.##..#.#####.#..#.#..#.....#..#.##.#.###..##.##.####..###.##....##.###..#####...#...###.######.##..#####..#.####.####...#########.#...####.#....#...#...#..#...#..##..###.##..#.###.####.##...##.###..###.#.#.##.#....####.#.####.##.##.#.##.#....
..#.####...#..###.#######...##...#..##############.#..############.###.#..##.##########.#####.#.###.####...#.##...#..##.###.##.....#####.##..###.#..#.##.#..###....#....#.###..#.#######.#.###########.#.#####.#.###.######.#######.#######.#.####.#.##..#.##..###..#.####.##.#.#..##.###.###.#####.#.###.#.
.##.#.#..##.####.#####...#..##.##.....##.####.........#.#..###.#.###.##.#.#...#.#...##.######..########.#.#########.#.###.#...##..#..##..#.##.######..######.##..##.#...##.#####...##..####.#.##.#.#.#######..#####.##.....#####.#.##...#.#..##......###.######.###.#...##.##.#.#..#.##..#.....#.##.###.....
.##..#.####..#..###..##.##.######.#.#..#..#..#.......#.##.#..##...#.#..#.#######.##..#..##.#..#.#######.#########.########.###..##.#######..##.#####.#.######...###.#.#.##..###...#.#.#..#.##...#....#..#..###..##....#####.#.#.#......#.###.#.#..##.##.#...####.####......###.############.#.##..#####.....
.####...###..###.#...#.#####....#..#..#..##########.#..#.##.##..###.#.....####.#######..##.###.##.#.#.....#..#.###.####.###..##.#....###.###...##......##..##.#.####..#######..#####..#.#.##.###.###..#.#.#..#...#.#.#####.##..#.#########.#.##......######..#..#.........##..#######..#.####...##.....##.#.
.#.#.#..#.#######....#.#.#.#...#.####.#..##.####..#.########.##.####..##.#..###.....#######.##.#.##.###########.#########.#####.####.##...#######...##.#..#....#..#####.#####...######..####..##..#.##.######.##..###.##.########.###.##..#######.##.#.############.#...##.#.#....#######.#.#####.#...#.#...
##....##.#.....###.##.########.#.##...#..##..##..##....##..###..####.###.#####.#..##.##.###..#####......#.####.##..##.####....#.#.##..#.#.###.#.###...###.###.##.###.#.####....######.###.##.#....########..##.###.##.#.##.#.##.....#..###...##.####..##..####..###.######.####.#....##.#.#....#.##..##..#..
#.###.##..#..#...###.##..#.#..###.##..##.#.#######.###..###.###.#..##.#.##..#..###.#########.##.##.###.##....###.#####.##..#.####.######.#######.######..###..#.########.#####...####...#.#.#.###.##.#..#####..##.###.....#...#.#.#..####.###.##....#..####.###.#..####....#####.#.##..##..#.#..###..#.#....
#..#.##.####.#..#.#..#.#.#..###.#.##.####..##.##.####....###..#.##########.#......####.#.#.....#.###.######.##..##.###.##..###.....#####..####..##.#..######..##..###.#####.####...##.##.###.#.###.#.#.#.#..##########..#.#.#.###########.###..##.#...#.####.##..##......#######.##...########.#####.##..#..
#.########.#.####....####..#...#######.##.#.#.##..##...##.##.######.#....##.....#.################.#.##..#######.#..##.#.#...#..##..#.##..#.#..#..##...##.##...###..##.#...#.#####.#.#..##.#.#..#.#..#.#..####..#.###..##.###..#.##..#######...#.#.###..#..####.##...#..#####.###.#######.#..#..#..##..##...
###.##.##.##..##.#..#####.#######.##..#.###.####.#####....#######.#.###..###..#...##..#####..#.#.#.###.#...###..##.##########....#..#.##.#.#...#....######.##.#####..#.#..#####..#.########.#.##.#....#####..##################.#..##...######.####.#....##.##.##.###..####..###..####.#...####.###.#..##...
.##.#.##.#..########..######.##.#...#.##.....##.###.###.##.###.#.####.#.#..##.###.####......##...#.####......######..##.#.######..####.######..#......#..###.#.##..###..####.....##.##.###.#.#.##..##.##.##..##....##.###.##.#.###..##.#..#.##..##...##.#####.#######..##...#.#.#.#.##.#..#..####..###..##..
#######.#####..#.#####.#.##..#.###.######.##.#.#.#.#..#####...##..##..#.##....####.#..##.#.#.######..#.###.#..####.#######..##...#.#.####..#.##....#...##.#...###.#.####.#.###.#.##.#.#####...#.#..##.##.##########....#####..####.#######.##.#.#.#.##.##########.##.##.#.#####..#.###.##.#.###..#.##....#.#
####.#..###.#.##.#.###.######.#.#####.###..##.###.###.###...##.#########..#.###.##.#.##.###...##.###.#.#####.###.#.###.##########...#.##.#.##..#..#..#.##.#...####.#.#####...#.###.#####.#..##.##.###.#..#..#.##..###.######..#####..####.#...########.####.#...#...##..##..#.###..#.##..##.##..#..#.##.###.
##.#.#...#...##.#....##.##.#.##.##.#####.##.##.####.###..#.#.#########.#########.##.###.#.......##.##..##.####.....#.####.#..##.##.#.#.#.#.##.#..####..##...##...#.#######.##.#.##...####..####.###.#...#..######.#...####.#..#.##.....##.....########...#.#####.#.####.##.###...#.##..##.#.###.######.#.###
#.#..######.#.##.########.#.###...######.######.###.####.###.#.##.#...#.#....##..#######.#..#..##..#......####.#.##############.#.######..#.#.###..#.#######..##.#.##.....#.##.#.###.#.#..#.#.##.###.##.#..####.....###.###....###..##..###..##.#..###...####..#.###.####.###.#..#######.#....#####..##...##
#.#..#####.#...#.#.###.#.###..###########.#.####.###.#..#..###.#.##.#..####....#....#..##..##.###....##.####.##.#######..#..##....##.##.##.##..#.####.##.##.######.########.....##..#..#.##.#...####.#.#####.##.##.##.#.########.##.#######.#.##..###..#####.##.##.#...#.###...#..####.##.#####.##.##..##...
.###...#####.....#.##.###.##..###.#####..#...#.###....###.###....#.##.....##..#...#..#####.#.####.######.#######.##....#.####...#.#.#.##..#.##..##..###...#.###.##.#.....####.###.#....######...####.#.###.###########.##.#.#####.#####..#.###..#...###.####....#..#..####.##.#..###.#.#.#..###.######...#.#
##..##...##.#####.#.##.####..###.########.##..#..#.##.#######.....###.#.#....#.#####......#########.#.#..#.#.#.######.###.#.##.##.####.#.#.#.#####....###.....#####.#.#.####.##.##.#####..##.##...###.######.######.##..#.##..##.#####.##.#######.###########.####.#####...#..#.#.#####.####.#.####.###...#.
..####.#.#.#.####......##...#.#.....#.###.####.#.#..#.#.#.##.####..######.....##...#.#####...#..###.#.##.#.#.#.#....#####.#.#.###....##.########.#####.....########.##.##..##..##....#.###.#.##.#.#..##.#######...###.#.#..###...#.##.##.##.#.#.#....##.#...###.##..#..##.#######.########.###..#####.#.....
###.####..######.#.#....##....##.#.###.#####.##..#.####...###.##...#####.##....##.#....#...#....##.##.###.####.####.#.###.####.#...#.#....######.#.#.##......#.#.######.##.###.##..##..##..##.##..##..#.##....####.#.#...#..#....#.#.##...#...#..##########.###..###.#..######...#.#.###..##..#.######.####.
...######..##...#..###########..#.##.#.###...#...#..#######..####..#..###..##..###.#..##.#.#.....#.##..#######.###.###.##.##.##.###.########.#####.##...###...#####.#....###..##.####.#.#####.....####.###.#.##.######..#.#.##.#...##.##...#...##.#####...#.###.#.#.#.#...##.##..#.##...##.#####.####.##....
#.##.###.....#.###.#####..########.#.######.#..#.###.#####.#.#.#..####.##.###.##.#.#.#...#.#.##....#.##.##.#####...#####.##.#.#...#..##.#..####.....#######..#.#..##.##.#####.##..#.#..##.##.#....#.##..#....##.####.##..#.#..#.###..#...###..###..#..###########.##.#..##....#.#####..####.#.###.#...###...
.##.####.####.##..#####.#.#...#####.#.#.#..#.#...####..###.####..#.##.##.#..#.####.##.##.#..#.#####.#.###.#.#..#...##.#....#.###.##.#..######.##.###.####.#..#.#.#####.....###.#.##.#..###.##....####.###.####.##..###..#####.###.##.#.#.###...###.#.####.####..#############.#.#..#####.#...#######.###...#
###.#..##.#.###.##.#.#.#.#.#.#.#....###.###.#.#######.####.##..###.####.###.#######....##.###.#.##.#.#..###.#.####....#.######..#..##.#.#.###...####....##.#######.######.#.##..#######.#.########..#.####.#.#######.###...###.#.#######.###..##.#..#######..####.##.....####.#.#.##..##.#...#....####.#....
.##..#####.####.#.##.#####.###.#..##...####..#..#.######.#.##..####.#####...#.#####.##.###.#.##..#..##...#.####.##.####.#########....#.#.#....##.#..#.##.#.###.#.##..#..###.#...######..########..####..###.#....####..##..##.#.###.#.#...##.##.#.####.#..#....#.#.##.##..###...####.##.#####.#####.#####..#
#......##..##.###.###.##..##.#####.#.#.#######.....####..##.#...#####.##..#.#######.#####..#.###.#..##..#####.####.#..##.##.###..######.#######.#.####.#.##...######.....###.##..#####.#.#..#.#.#####.########.####.##...##.##.###.#.#.#.######.#.#..#.##.#..##.#.#...##....#######.#.##..######..##.#.#.#..
..###.####.######.##.#####.##..#####.#.#.#.##.#####.#######.##.###..##.#...##..########.#.######.#.####..###.#####..#..#..###..##.##########..#.###...####.#.####.####..##.###..###.####.####.##.....##.#.#..##..###.##.....#.#####.....######.#.######.######..#.##.###########.#..##..##.#.###.##.##..#...
##.##.######.###..###..###.###.#.....#####.##..##.###..###.....####..#####.###.##.##...#.#.....#..##.#####.#..#.##..###.#....#########..#...###......###.##..#.###.#.#..###...#..#.##...##..##.##.#..##.#.#########.###.##..#...###.##....##...###..###..######..#...##..##...#..###.##.#.##########.#.##.#.
######.#.#...###.#..#.#.###..###.##.##.#....##...#...#.#..#..###.####....#....#.###..##..###...#.#.##...##...##.##..##...###.#####.##.####..######..##.###.###..#.#########..##.##..###.###.##.#.#...#..#...#..#.....###.#..#..#..##..#.###......##.#.#.##.########..#.#######.###.##.#.####....#.###.#..#..
###..###.#########....#..#.####.#...#..#.#..#.#.#...##.##...#....##..#.#.#.#.#.......###.####.#..#####.#.###.#.#.#..#..###.####.#####...#.#.#..##..#.##.#..#.##.#...#.#..#...#...###..####..###..#...##.####...###.##....###..####..###.#..#.#.####..#.#.##...#.#.#..#.##..#....#..####.#.#.##.###...##.....
###.....#..#........##..##...#...#.#.#...#...#####.##..#.....#..#......##....#.#....##..#.####.####..##.##..###..#...##.####.#..#....#...##.#....#....##.###..##...#####.#...##.#....#....#.##.#..##..#####.#..#.#.#.#.#######..##.##.#.####.#..#..#.#..#..#.#.#...###.........#...##.#.###.#####....#.##...
##.#...###..#.#...##...##.##.#...#.#####....#.#......#..##........##.#..###.###....#.....##.###......#######.####..##...##.#.##...#.##...#.###...##.#...##.#.....#...#..##.###..###...######.##..######.####..#..#..#.######...#.##.####.#.......##.#.#..#..#..#.###.#.#..#.#####....##..##.....#..#........
.##.#.#.##....#...........#.......#..#.##.##..#.###...#.#...##...##.##.......#.#..#.#.#..##.#.#...#..#....#.####.#.#...###...##..#...#.#..###......#............#.#.#......##.##..###.###.###.#######......#.#.#...........###..#...#.#..#..##.#..##.....#.#...#.....#.#.......#...........##...##.##.......
....#.......#.#.....#.......##...##......#....#.....##.....#.....#.............#.#..##...........#.......#...........##......##..#......#............#...##.................#.............#..#.#..#..#...#..#......#.........#.........#.........#...##.#.......#......#...##...#.......#..##.....###.......

30 287 265 3 8
##.######.#..#######.###.#.#####.##.#####.#..#..#.......####.#.#.#######.#.#######.#.#####.##.#.#..###....#####.#..######.#...####..###...##.#..###..####.#.###.#########.#.#####.#..####.##..#.#.###.#############.#.##########..####...####.##..#..####.#######.####.#..###.#######.#..#.#...
#.###.#.#.#.#####.####.#####.######.#.##..#####.#####..##.###.###..###########.#.###..##.#.#...#####.###..##.#..##.#.#...#..#.##..####.###################.#########...####.##.###...###.########..#.#####.#####.#####...####.##.####.####.#.####.#.##.#.####..#.#.#######.###.#..###.#..##....
####.######..#..###.#..##.###.#.#########.#....#.#..######..###.#.##.######.###.######.###...###...#####.##.#####.###.###.#...##.################...#..###.######.###.#.###....##..##.##.#.#...####.#.#.#..##.##.####.###.###.#..#######...####.#.#.###.#.#.#.#..####.##.####.####.#######.##..
#########.#.#..###.##########.##..#.##.####.#####.#..###########...##.###..#####..#.##.####.#.#.#.##.#.###..##########.#.#########.###.########..###..###.#######.#####.##.###..#####.##########.##.####..###..####.#######.##.#.#.####.##.#..##..######..#....####.#.###..#.###.#.#.#.##.##.#.
###.#######.########.##.###.######.#######...#.##.####....#....##.#.##.##.########.##.#.##.#..#.##############.#.####...##..#.####.###.#####.###.###.##...#######.######...#.############.####..#..######.####.#...##.##.######..######.#..###.##.##.#...####.#.#.###...#.##.#.##.#.#...######.
###.#.#.###.######.##....##..#.######.######....#..######..#########..#####.###.##.######..#..###..#.#.#####.####..#..######.#######.##.########...###..#.##..##.#####.#######.##.##.#.##.##.##.##.#.##..############.#.##.##..##.###.#########..##.###..#.###.####.#..####.#######..##.#####.#
#.#####.#####.#######..#.#.######.#.####.#####.#.##...##.#...##..####.#..###.#..#######.#.#######.###.##.######.###..###.##.#.########.#######.###.#.###..##.#..##.######..######.######.###..####.#.##.#.#########.#####.####.###.#..########.#.#.#.###.##..##..####..#####..######.#.#.#.#.##
#.#.#.######.#..#.###.######.#...########.#...###.####.#..##.##.#####.##.##.#.#.##...###.#.#.###.##.###.#####.#.####...#########.###.#..#####.####.#.#.#.....#.##.###.########.##.##.#######....###.###.##########.##.####.#.#.#.#.#.###.######.##############.#.##.###.#############.#####..#.
######.############.##.##.##.#.#.#######.#..#.#####.#######.#.#.####..#######.##########..########.##.###.#.#.##.#############..#.###...####...##.########..###.##.#.##..#####.###.##.##.##.#.##..#..#.###..#####.#.#.##..###..###.#.#.#######.##.###.######..#######...##..#####.##.###.##.#..
############...######.####..######.##.#.#.##.####..##.#.#..####.#####.#######.#######.####.#.#####..#######.##.##...########.#######.###.####.###########..#..#..###.####.###..#############.#.#.##.###.#.#.#.#######.#####..####.##.#####.##.#..###.#####.#############......#..#########.##..
..#####..###.####.#####.#..#.####.######...#..#############..######.######....####.##.#.#..#.#...##.###...####..#.#####.#####.#.######.######..##.##.#################.####.#...##############.#..#.##.####.#.##...#.##.##.#####..#####.####..##.#..#.#.##..##.###.######.#.###.#########......
.##.#.####.#.###...#####.########.######...#..####..#.#.#..######..#####.#.#.#.#.##..##.#####...##.######..#.####..######.##.##..#####.##.###.#.#######.#####...###.##.#.##..#######.......###.#######.####.#####.##########..#.#..#####....#.####.#######.#########..###.#####.###..##.#.#.#..
##..#.####.#########.#.#####.####.#.#.##.###.###.#.#####.#.######..#.###.#.####..##.#########..#####..###..#.######.#.##.###########.##.####...#####.######.##.###.#..##.######..####.#.#.###.###..#####..####.#..##..####..#..######.#.####.#######.####.###.#.#####..#####.#############.....
.##.##.#.#####.###.#.#.#######.##.#####.#.##.##...#.#.#..###..#.#...##.####.#.##.########..##..#..##.######..######.########.#...###.##.#####..#...########.##.###.##.#.###.##.##.########..##.######.#######..##..#..##...#.#.###.##.##..##############.##.##########.#########...#.######.#..
######.###......#.##############.####.########.######.####.#.#.#.########..#.#.####.#..#.#####.####.######.##.####..##..#.#######.######...###########.###.#...####.#..####.#######.####.#..##.#########.##...###################.#.#########...#..#.##.#.#.###.#.############..######.###.##.#
##.####.###....########...##################.##########.#.##...###.###.###..##..#####....#####.###.####.##.####.######.#.###.#.####...###.####.####.#..#.########.##########.####.####.#.########.##..##..##.########.#..########.##.###.##...#####.###.##..######.#.###.#.....##.##.#...###.##
#..#.######.#.##....#####.#.######..###.#.####..##.#####.#####.#.#.#########.#..#########.#.#.##.#.##.#######.##.#..###.#.#.#.##..##.######.######..#.#.###.##########..#..###.####..###.#..###.####.##....##.#....##.####.#.###..#..##..##.####.##....###.####.#####.#.####.#.#.#....#..#.#...
.####.##.#########.#############.##.###.#.#..###########...########..#.###..############.#####.##..#######.###..##.###.#########.#..##..##....#.################.##.####.###########.############.##.##.#.#.###.##.#.##.#.#.##.#.###.#####.#####.#..##.####..####....##.##..#.#.####.########..
####.#####.####.#####....#####.#.###..###..######..#####.#...#.##.#.#...####.####...######..##..###..#.####.#####.###.####.######.##.###########..#####.##.#######.#.###..###.###..#######.#####.#.####.####.....#.###..#.####.###.##.##..##########..###.##.###..#.########.#.###.####...#.###
###.####.#.#####.###.#...###.##.####.#####.#..#.##.#####.#########.#######.###.#.#####.##.###########.##.######.#.#.########.#..####.##.#.###.######.#..#...#.#######.#.###.##.#.####..#######.####.##..##..#######..########.###.#######.....#.#.####.#####....##.#..#######.####..##..#..#..#
##.#.#..##.##..##.##..#######.#####.####.##.##..####.######.##.#.######.#########.####.##.#####.#.##..#.###.#.#####.###.##.###.###.#.#.##.#.#.#####..#.#####..######..#######.##.##.#.####.####...#.#.###.##.####.###.###...##....#.####.###.#.######.###.#.#####.###..####.#.#########.###.##.
#.############.#..######..###.##.#.######.######..######.#########.###.##...##.######..#.####.##.#######.##.####.#..#.##.#...#..#.#...##.####..#.########.##########..###.##.###.#.####.############.######..########.###.###..#..#.#.##.....###.###.###.##...#.....#.####..###.##########.#.#.
.#####.#.#.#.#####.###...####.#######.#..####.###.#########.#....##.#####.##...#.#.#.##..#####.###..#.#######.###.#.######..##########.##.#.#..###.##..####.##..##########.##.##.####...######.##.##.##.###.###.#....#..#....#######.#####.###.#.######.##.######..##.##.##.#.####..###.###..#.
.###.###.#########.#...#..###.#.#############...####..###.#.####.######.#.###..#.#.#####.####.######.###..####.#.#######.###.#..#.##.####.#########.##..######.##.##.#####.###.####..##.#.#.##.######.##########.#.####.##.#.###.##.##.###.####.#.############.###.#..#######.#.#######.####.#.
###.##.##..###.########.######.###..##.######..########.####....#####.##.#..##.#.##..#######.###.#######.###.###.##...#############.#.########.##.##.######.##.#.#.#.##...#..####.#.######.##.#####.##.###########...###.#####....##.#########.#....#####.#########.....##.#.#########.###.#...
##.#####.#.##########.####..####.########..###.#.##.######.##.####.#....#..##################..######.####.....#.#.#.####...#.#.#######.###.####.##.####.##.####.#.###..#####.#.######...###.##..#..#####.###.####..####.#.#...#.##.##..#..######..####.##.######.##.###.#####....#..#.##.#.#..
###.########.######.#####...#########....#..####.####.#####.#####.#####.#.#.#####...##.#.#..##.#.#############.###.##..#.#...######.##.###.#.####..#.##....##############.#.##.###.#..######.#.#####..#.##..####.####.#######.####.######...####..#..##.#####...##..###.#########...#.#######..
####.#.###############.###...##..##....##.###########.#######.###.##########.#.##.##.###...#####..##.##########.##..####.######.#.#.######.#.#############.###..#..#.#####.##..#.##########.####.######.#####.#.##...##.##.#######.#.#.#....#.##.#.####.#.########..####.####.#..##.####..#####
.##########..##..#####..###...##############..####.###.######.########.......##.#.##.#.######.#.####...###.#.##.####..###.#.##.##.##.###.########.#######.#.###.##..####.##.########.#.#######.###.###.##.####.##..#.#.#..###.#..###.#####.###.#..###.####.#.#...#.##.####.#.#..#.###.##.###.#.
######.###.#..#############.....##.####...##.##.###.#.#.#.#..####.#.###.#.#######..#.###..#.#######.####.###..#.##.#.####.#.##.#.####..##.###.#####.##.#####.#..##..####.#####.#.#############.########..#.#.##..###.#####.#.#######.####.####..######.#..#..#.#...##...#####.##..##.##.##.#.#.
##########.#.###.#####.#######..#.#.#.##..##.#######.#.##..######..######.##########.####.#######..#..#.##...#.##.##.###.#####.####.##.####.##.##.#.##.###.###.#.####.#...####..#####.###.#.#.#.#####..####.####...##.##.#.###.####.##.##...#.#.#.######.##.###.###.###.####...####..#####..##.
####.##.#######...#.#.###########.###.########..#.#########.##.#####..#.#########.#######.####.########..#####.#####.##....#..####.##..###.######.####.#.###.########.######...#.####.#.#..#.####...##.#####..##.########.#.#.###...####.###.#..#.####.#.##..######.##.#####.############.##.#.
##.####.########..#.############.##########..#####.#.######.######.####.######.##.#####.#..######.#.########.####..###.##########.#..############...##.#########...##.###.######.#.####.#.#.##########...##.#.####..####.###..###..##.#.#####.#.#.##...##.#######.######.##..##########.##.....
#########.##.##..#######.########..##.#.################.####..#.#.##..#..#..#####.####..##..###.#.#######.####.#.######...#.##.#.####.####..##..####.######.###.#.#####..##.#.#..##########.###.#..#.####..##.#.###.###############..##.##.##.###.##..###.#.###...##.#.#.####.##...#####..##..
##.#.######.##..##########.##.##..#######..#.#####..#############.###.####.#######.###.####.####.###.############..####.##.##.######.##.#.####.######..#######.###.#...#########.#.######.#..#.#..#..##.#..#...#######.####.#...#.###.##.#...##..#.###..#..#.#.##.####...#.#..##...#.###.#.....
#######....#..##.###..#.##.##..#.#####....######.###.#..###.#.#..#####....#..##.#.#.####...###..###.##.#######...##.##.##.#.##.....####.#.######...##.######.######.#..#.#########.######.##.######.######...#####.####.##.#.#####.##.########...#####.###.#...#####..###########.#.....####.##
.#####.########.#####.#####.####.########..#...##.##.#..#########..#.#.###.###..####..#.#######.##..###.###.###.#....###.#.#.####..#..#.####.#..######.###..#.#####.#.####.#.#####.####.#.############..#..#######.####..##...#.#.#.#.##..#.###########.####.#########.####..##...########.##..
#####.##..###.#.###.#.####.##.###.#####.#.##.#.#.#####################.####.###.####.#######..###..##.#.#####.#.....#.###.##.##.#.############.####..####...#.#####.####.########.###########..############...###.#####.###.##.######.##.###.##.######.##.##..#.##.###.####.##.##.####.#####..#
.....######.#####.##.##..####.##.##.#..#######.#..####.####.#...###...##########.######.#########.##.#####..############.#.######.#.####.###..#.###.###.###.#.###.##.#.#########..####...###.##.##.#..#####.##..###.#.#.######.####.##.#####.######..##.#####.#..######.####..#####.###.#..###.
##.#.#.#####.#.#..#####.################....#..######.######..#..##..#.#.#########..##.###.###.##.############..#.#...##.####.####..###.####.########.###.###.######.###.##.#.###########.####.#.#########......#.#####.###########..##########.#.######.######.#########.######.##.#####.###..
.###...###########.#..##.#..#.#.#.#######..#.#####....#.####.#.####.#########...#..#.#.##.####...##.#.#########.##.###.#.####.#.####.########.####.##..##########.#..###.###.#.####.####...###.#.###.##.#.#########.###.#########.##.#.#.#.##..###.################....#...####..######.###....
#.#######.####..#.###...####.###.###.####.#.####..####.#######.##.###.##.#.#.####...#.#..##..###########..##.#.#.###..##.#######.#####.#.#.#######.#.#####.#..###...##.##..#######.#.##.###..####.##.#######.#.###.###.##.#..#.#####.#.########.#.#.##.#.##########....##.####.####.#.###.#.##.
####.#..#####.#..#..###.######.###.##.###.####.##.#######.#..#####.##.#.#.###.###.#.###.#..##.###.##########.#.##.###########...#####..#.#.#..############...######.#######...######.##.##.####.#####.####.##..########.##.#....##..#############..#.####..#..#.######.#######.....###.###.#.##
.#.###.###.#.#.##.######.##.####.#.##.#####.#.#####.#.##..##.######.###..###..####...#######.##.#####################..#..#######..#.####.#########.######.###..##...#######.##########.##.##...#.#.#.#.....##########.#.########..###...##..#.##.####.#.##.###.##..#.##.#.##.######.#####.#...
####...#####.#.##.####.###.###.##############.######..#.##..#.#.#####.##.....##########.##..###.##############.......##.#.##..######.#..######..##..#..##.####.###.#.########.#.#.#.#..####.######.######.#####.##.###.##########.#.#..#..#.#######.#############.###########.#.#.#.####..#..#.
######.#.#.##.####.#.##.#.###.#####..#.###.#..########.##.#.######.############.#..#####.###..####..##.#######.#####.#.#.####..#..#.###.###.#.###..#.###.####.###..##.###...########.#############....##.#.####.#.######.#.##########.##.#####..#...#.##.###.#.##.####.####.##.#########..#....
.###..#.#.#####.####.#...#.#....##.#######.###.#.#######.##..#######..#.####..#######.#.####..#..#.####.##.#######.#.#...#.#..#.##.#..##.##.############.#..#.#.####...####..##########.#####.###.#######.#.#####.######.###..#####..##.####.##.###..#####.#####..#..######.#.####.###..#......
.#######.##.#############...#.##.##.#####.##.##..##...#..###.#.#####.###.###.######..##.#.######.###.#.#.#.#.##.####.#.#..##.###.#..########.#####.#.####.#..#..####.#....##.##.####.#.########.#.#.#.###.#..#########.....####.##.####.#.#.#.##.#######...###.#####.##..#.#.######.####..##...
#.##.#....######.#####..#######.#####.#..#..######.#.##.##.##.#####.#######.###.#.##.###.#.#.##.##....####....####.###.###.####.###..####.###.#####.####.###.####.....###.##..#.#####..#########.#####.##.##.##.######.#######.###.###.##..#.########.##.#####.########.#####.#.#####....##.#..
#.##.#.#.#.##.#####.######.#########.#########.#.#####.##.###.########.#.##...###########...##.####.##.###.#.#.#########.#####..#..#######.####.#.##......#####.##.#..#######.#####.###.##.#####.###.###.#.######.##.#####.##########.###..###.########.###..##...##.######.###.#.#####.#####..
###.#.##.#..##.#####.###.####....#.##.#.#####..###..####.######..#.##.#.###.#.#.##.##.##.#.##.#.##..###...####.######.########.##.######.#.##############.###..#######.##...#.####.##.##########.##.####.###.#####..####.#...##.###.#...#..###.#...#####.###..#####.###########.#.##.#.####.##.
#.###.####.#########..###.##.######..###..###.#.####.##.###.#...########.#####.##..###.##.####.####..##..#.#.#####..##..###########.###.##.#..##.####...###.#.##.#.####..#######.##.##.######.#.#.###..#####.#####.#.##.###.########.#.###########.##..##...#######....##.#######...##.###...#.
...###...#####..#######..##.######.####..##.#.####.##.###..##.##..#.##.##.#####.#.#######.#.##.#...########..#######..######.####.###..##..######.####.#.##.###..##############.#########..#...##.####..##.##.#.####..#.###############.######.#####.###.##..##.###.#.#######.##......#....#...
##.#.#######.####.#...##.##.#..#.#..###.#.#####...##..#..##.#..###..####.####..#####.###...#...#.######..######.##..##.########.##.########.#..###..####.##..###.##..#######.#####.###...#####.#..#.###.#....####.####.###.########.#.#.##.######.####..#####.#...##..#.###...#.#########.##...
.##..##.##.########.########.#########.####.###.#...######..##.#..#.#######...#.###.######.###.#..#####..####.############.####.#..#...########.#.##.####...#...#.#.######.######.##.###.###.##..##.#.#..####.############....#.##.########.#..#.########.####.#.#..#.######.#####.#.##.#.####.
..##.#######.#####.########..########.##.##.####..#.#####..######.#.####.#.###.############.###.##.###.###.#..##.#.#.#.#####.#.####.######.##..####.####.#####.#####.####..#.#.#####.##.#######.#...######.##.##.#.#####.#.######..##########.###############.#####.########.#.#.##.##..#.###..
##..###.########.###.###.#.##.##.############.###..########..####.##.######.####.####.##....##.####...####.######.############.####..##.########..#####..#.#.####.###...#.####...##.#####.##.##.#.....#####.##.###.##..###.##.####.#...###.###.######..#############.#.#.##..###.#.###.######..
####.##..##..#.####..#.##...####.#####.####.#.###.#..##.##.####..###..####..#.###.######.##..##.#####.#..###.#######...#######..###.#.###.#####.##.###..####..######.##.#.####.####...###.###.#####.##.###...######.#.#.##.##############.#####.#..#.###.##.##.#..###.#####.####.#..####.#.#...
###.#.#.#.#######...##.###...######....#.##..###...##.#######.########.#.####..###.#####.###.#####.######.####.#..###########.##..#.#.##.##.#...##.#.##.##..###########.#.##.###.###..###.###.###....#.#..#.#.####.##.#.#...####.#######..############.###.#.##..##..#.#.##.#..#.##..#.#.#.#...
####.###.###.###..###.##.#...####.###.#.###..##.##.#########.#.#..##########.##...#####.#.#.###.#####..###.#####...##..#.#...#####.##.#...#..#..####.#..#####..####..##.####..#..####.######.#########.####.#.####.###..##.#..####.#.#.#########.#.###.###...#.##.##.###..##.##############.###
..#.####..######.##..##...#.######.#.#####.##.##.#....###.##.##.....#.###.######.#.#####.##.##...#####.####..###.#.#########.####.#..####.#...#.###..##.####.###.##....###.##.#####...################.####..###.##..##.###..######.######.####.######.#.###.###.##.#.##.#############.##.####.
..#.#.####.#.####.#.####.#.####..#.###..########..#.#######.####.####..##.###.##.....#.##.#####..#..#####..#.##.#....##.#.##..####.#.##...#.##...##..####..################.#####....##..###..#####.##..###.#..#####.#.###.####.####.#.####.###.#####.#.###.#.#..#.####..#####.#..#####..##...#
#######..#.####..###.##..##.########.##.########...#.#...#######.###.#.######.######.#.###.######.####.########..#.#..####.####.###..#.####..########.##.#############.#######.##.###.....###########..####.####.##.#.##.#.#.##.#..#####.####.#.#####.#####...#.#########.#..###..###..#..##.##
###.#..#.#.######....###.########.####.#.#######.######...###.#.#.##############.#..#.#.####..##..##.###.##.##.####.#####.######.#.##.#.##.##.#..#.#######.##.#####.##..#..#.##.#####.#.###.#######...#.##.#.##.#.#..######..#.#.#...##..##.#...##.###.#.##.##.##########.#.##.###..##...#.###.
######..#######.####.#########.##.#####....####.#.######.#...###.###..#.####..###.############.#.####.#..###.##..##..####.###...#.###.#########.####...#...##...##.####.##.####..##.###.#..###..#.####.########.#.#####.##..####....#####.##########.########..#################.#.#.#######.##
..###.#####...##.#.#.#########..##.##....###..#.#.#..##.#.######..####.###..####.#.##.##.#######.#.##.###.##########.##.###.##.##.##.####..##...##.###.###..#...##..####..#.#.#..##.############.#.##.###.##########.#.##.####.#..#####.###..#######.###..#.#..##.###.####.###.###.###..###....
.#######.####.#.####.####.##########..####.##.#.#...##.#....#..##.#.##.####.#.#.####..#.###.#####.#################.##.#..#..##..##.#.#..####.##..###.#..###.##.###...##.##.##########.#####....####.####.#.####..#.#.#..#.######.###..######.###.#####.###.#########...#.##..#..######.#.###..
#..#################...##.###.#.####.##.#######.###.#...#########.#####..####.####..##..##.##.##...##...#####.#####.#.####.#.##########.#..##.###########..####.#####.#.####.###.##.####.####...####.###########...#######.####..##.##.#..######.######..##.##.##..#.##.######.#.###..####.#...
.##..#.###.#.##.#.#.#######.###########.##.##.##..####.#..###...#..###..##.#.#..#.####.##..###############.#######.#.##.###.#.###.###.#####.##.....#...###.#.#####.####.#..###.#.###..###.#.######..#.####....###########....########.#..####.######.#.##.##.##.####.##.###.#..#.#####...####..
.#########......####.#######.#..#.#.#.##.#.##.#####.#.#####.###.####.#####.##..#..##.##.##.###..#.#..##.#.###.##########.###.####.#####.##.#...#.#.###.##...#.#.#######..######.#.#..############.##..####.###.##########.#######.##.#.....#..#.####...#..#.####.#.#.####.#######.######.##..#.
.####.##.###.#.#.####.###.###.#.####.###....####.##....#########.#.###.##...##..#.###.#####.....#########.##..#####.###..#########...##.#####..##.#####.###############.#.######.#######.#########..##.###...####..#..#.#.##.####.#.###.##.########.##.#.###..##.##.##..#####.#.##.####.####.#.
##...##..#.###..##..###.#######.##.###.#####..##.......#####.###..##.#.########.#######.#.#########.##.#.#.####.###..####..#.#.#.####.##.###########.######.##.#####.######.#####..####.#####.###########.#.#.#########...#.##..########.#..#####.#############.##.#####.#####..##.###...#####.
..###.##.#..#.#.####.####.#####.###########.#####.######..##.##.#####.#####.#########.##.####..####.####.#...#.##...###...####.##########.##.######...##############..##.####.###..######.###..####.#..#.#.###..######.#####.#.#.###.##.###..##############.######.#########.####....##.###...#
#######.#..##.##.#.###..#..##########.#####.##.#..###.###.#...####.########.########.######.#....#######.####.#####.....#######.#.#.#.########.#..#.##.#.###.#.###...##########..#.###.##.#.#.#########.##.######..####.#...######.##..######.#####.###.###...##########..##.###.########.#.###
.#.##.##.####.###..#...########..#####..##.#.#####.##...###...#.#.######.########.####.######.####.###.########.##..########.#####.#.######..##.####.#####...#####.###.#.#####.####.#####..#...##.#####.#####.####.######...#.###################.####..##.#########.##########.##.####..#...#.
#.#####.#.####################.######.#####.###.#.##.#####.#.#####..##.#####.#.###..#.###.###.#.#####.#.########.#######.#######..##..#...#.#######.####.#...#####.#.##.#######.###..######.############.####.#.##.##.#.##.#####.#.###.#####.#######.####.##.#####.#.###..#.####.#.##...#..###.
##...#.#.#####..#####..##.#...###.#####..#.##.####.######.#######..#..##.###.#...#####.#########.####.....###########.####.#.#...###.###.#...##.#.#.#########.##.######.#########.#.###..#.#.#########.######..######.#..#.#.##.#.#.####.###.####.##..####.###########.###..#.####..###.####.##
##.##..##.#####.###.######.###.#.####.#########.#.#####.##.####.#..#####..#.######.#..#..#.###.#.##..#.#.####.##########.########..######.##.########..#####.###.#.#.####...###.#.####....######.####.#.##.##..#########..#####.#.#.#.######.####.##.##.######.#.##..#...#.##.##..###.###.#....
#..#.#.#########.###.###.###.##.#####..#.####.#.########.#.###.#######....#..##.#.#####.##############.##..##..####.####.######.#########...####.###.#####.###.#####...#####..##..###.####.#.##..#.##.#######..##############.####..#.##.#.#..#.#.############.###..#.#.##.#..##...#.##.#####..
###############.###..#..#####.###.##..#####....#.#..##.#.###.#.##.##.###.####.###.##..##.##########.##.#########..##.#.#.#####.##.#..#####.##.#...#.###..##.###.#######.#.##.#..####.####.########..####..#####.#.##.#####.##.###.####.##.######..##.#.####.###..##.##.#####.##.#.##..##.#####.
#####.#.#.#...##..#..###..#....#.###..######.##.###..#..#..####.######..####.###.##..#########...####..###.##########..###..#.###.####.##.######.#.##.##..###.####.######.##.########.#.#.###.####..#.####.#.###.#....#.##.#..########.#.#.################.####.###########.#.##.###..##.###..
##.#######..##.#.##.#.##.#.###..#####.####.###.#######.######.##.#.##.##..#.###..###.##.#..#.###..####################.##.###.##.##.###.###.###.##..###..##.##.##.######.#.#.#######...#.#..#####.######.#.####.#.###.#..###...#####..##.###...##.#.##.##.#####.####.########..####.###.###..#.
####..##.#.#.##..##.##.#.#####..####.############.#########..#######.######.##.#.#...#.#..###.#####..#######.###.#..#.#..##..#####..##..#.###.#...#.##.###.####.#.##.###.#..#######.##.#..###.#######.#.######.##.#####.####..##.######.##..####.###...#.#####....#...###############..##.##...
...###.#.######.##..#######.#..####...#.#.##.##.#######..###.#.####.#.###..####.#.#####...##.#..###.#.######.##############.#######.#.##.####.###.###.##.##########..##.##.#.###.####.###.####..#.#..##.#.#.##.#.#..#..#...#####.#.#.#.###.###.#.####.############.###..#####.#.###..#####.##..
##....###..#.#########.######.#..###.####.###..###.###.#######.######.#..########.##..#.######.###.###...####.####.##.#.####..#.#..##..#.##.#####..############.##.###.#..##.#....##.#####.########..##..###.#.#..###...###.#.###.#####...##.##.#..####.##.####.#########.###.########..#####..
.#.##.#.########.###.####.#.##.###.####..###..##.#######..##########.#.###..####...#.###.########.##.########...######.################...###..####.###.####.###.##.#.####.#.####.#####.#......####.###.#######..##.##.#....#####.####.#...####.#..###.###..#.#####..#####.####.###.#########.#
##....##.##.###..###..#######...#.##...##.###.#####..###..###.###.###.##.#######.####.#..#.##.######..##.##...##..######..#####.##..#.#########.######.#.########.#.##.##.#..###..########.##..#..#######..####.###.#####.#########.#.#.##.#.#...#####.#######..##.###..#.#.###..#######..###..
##...##..#####.###.##.#########..#..##.##.#########.########.##.##########.##.######.##.###.....#.#.###.###...#.#######.##..#.####.#####.###...#####.#..##.#.##..#####.##.###.#.#.##...#.#####.###.####.#..###..###.#.###...##.#.##.#####.##.#.#####..#.####.##.#.#....###.##.#..#.##.###.#..#.
##...###.##.##.#####.####.#.####..##.######..#######.###.##.#...####.###..##...#.#####.#########.##.####.##.##...##..#########.#.##.#..#####.#.#.##..#######.#..##.######.#.#..#####....##.###.#########.###.##.#####.##..#####..####.##..#..##.######.##.###.##..###..##..##.#.#.#########.##.
#.##.######..###.########..#####.######.#.###..#####.#.#.######..#..####...#...###.##.#######.##..######...###.#####..###.#...##.###.#..###.#.##.#####.#.###.#####..#####...###.##..########.##.######.#..#####.#.#####.#####.....#.....#.###.####.##..#..#####..##.#..#.######.##..######.#..#
.##.#.###...##.#####.#..#.############.####.###.#####..#...#.##.######.###.#.####...##.######.#.#####.####..##..#.###.##..######..#.######.###.#.#.############.##.#####.#..###########.#.#########.####.#######.##.#...#########.##.##.#.#.#....##.#.###.#.####.##.##############.#.#..#####..
.#####...#.##.##.#.#####.##.#..#######.##.#####.##.#######.#####.##..##.##.##.#.#.#######.###.#####..#.#.#.#.##.##..########.#..####.####.######.##..###.#.##########.####..##.#.#.#...##.#.#...##.#..#.###.########.#.###....##..######.##.###.#####.###.###########..#.#.###..#.###..####.###
#######.##.#########.########################.#######.####.###.###########.####.#.#..#######.#####..#.####.########..##.#.####.#.#..##.###########..###.#.###.#.#.##.###########.##.########..##.####.##.#..###.....###.#.######.#.#....###.#.#####.#..####.#.######.##...##.#.##.#######.##.#.
#.#.#.#######.####.##########.#.######.#.###..#.#..#############.#.####..#.##.##.#########....#####.#####.#######.###.##.######.######.#..########.####.#...#.##.######.#..##..#..##.#.#############..##.#.#########.#.##.###..#..###..##.###.####.###.#.###...#####.###.###..##..#####.######.
##..#.#.########.#########.#######.###.##.#####.####.###.#..####.#.###..###########.####.#..#####.###...####..#.######.##...#.#...#..######.##.#.###.####.#.######.##..#..###.#.###.#.#########.#...##.########...####.##.#########..####.##..#.######.###.#.###########..##..###...####.#...#.
#.#.####.###.#.#.##.###.#..###.##..#..#############.##...#..########..###.##.#.#####.#.#.########....##.######..#######.#....######.##.###.#...#######..########.#########.###.#.#..##.#.#.##....###.###..####..#.#####.#..##.#.##.###.##.#####.#.#.####.#...#.###########..##.####.##.#...##..
######.#.####..###.#####...##...###.#.#.##.#####..######.######.##.##.########..#..##.####.#..#.###...#.####...#.#######.....##.#.##.###.#######.######..###.####.##############.########..#########..#.#..###.##.####.###.####.#######.##.#....####..##.##..######.#####.#.#..###..##.#.####..
.#####.#.######.####.##############.###..###.########...###.##.#.########..##..##.#.#.#####.##.#.##.#.#######.###.#.#.##.#####.#######..#.####.#.###.####.#.####.##############....#.#.#.#..####...############.####.#.#.#####.##.#.#.######..#.##.#######.########.##..##########..##.#####.##
####.##.##.####.#.#####.###.#.#######.##..##.#.##.#.#####.#######.#########..#.#..#.####..###.######.###.##.########.##.#.#..#####.##.#.#####.##.####.##.#..#...#####..######.####.#.#.########################..####.###.#.#.###..#######....#######.#....###...#.#####.##..##..##..#######...
#.###.####.######.#.###.###.#########.####.###..###..###.###.####.##..######...##.....###..##..##.#.##.#..##########.####.#..#.#.#.###.#.##..#.###..#.####.#.####.#.##.#..##.####.##...#.##.#.#.##.##.######.##.##.#####..#####.########..#.####...#.#.#.#.######.#####.#####.##....#..#..#.##.
.#.#..####.##.#.####.#.###.#.#####..#.#####.#.###.##.###..#########.####..#.#.###.#.#..####.##..##.#.#.##..########..#.#..###.####.########..#####..##.#...####.###.###.##.#..##.#.##########...###.####.#############..#######.##...####..####.#########..#############.##..###.###.#.###.##..
#.#.##.#######..#..########.####.#######...###...#.##.###....#.##.##.##..######..###..##..##.##..#.############..#####.##.##.###.###.###.####...####.##.#########.#.#.#..#######.#..######.######.#.###.#..###.##############..###.##.#######...###########.####..######..######.#####.##..##..
#..######...#.####.#.#.##.####.##.##.#.###.##.##.##.##.#######.######..#...####....####.######.#.#.##....###..###.#.##############..#.###.#########.######.#####.##.###.#####.#.##.#.######.###....#.##.#.#.###.####.#..#########.#.#.####.....#.#.###.#..##.####..#####.######.##.########....
###############.##############.#.##.#.####..########.##..##..###.##.#.#.#####.#.##############..#.#########..#####.#####.##.##.####..###########.#######..##.####.##..#########.#...####.####.##.##.##....#.####.########.###########.##.#..##.##########.#######.#.#....#.#..####..##.##..#...
#####.#.###########.#####.##.#.#.###.#####.##..##.##.##.#.#.##..##.####.#.##.####.###.######..##.##.##..#.#..###.#############.###.###.####..#####...##.#.##..##.#.#.###.###.####.###...#...#.###.#.##..#.#####.##.##..###.#.#.###...##.#####.########...#.#..####.###.####..##.#######....##.#
#.##.###.######..#..####.##.###..####.###.#.##..####..##.#...#####..#.####.###.#...#.#########..#####.#.###.###############.#..#.##.#..#######.###.#..#####.#..##.###.#.#####..####.####..#..##########..##.####..##...######.###.#.#.##.##..#.#.############.##.#####.#..##.##.......#.#...##.
#.##########..#.###.#..############.#.###.##########...##.#######..##...####.###.###.########..###.######.#.##.#..##.#.###.#.####..##.####.########.###.############.###.###.#..##..#..####..########.##..#..#.#..####.#.#.#.#.##.#.###.###.#..#.###.###.#.#.###.######.#########.#.#.##.#.#...
.####.#####.####.####...###########.##.#.###.#.#####.#####..#####.#.#############.#.#..####.#..######...####.#######.###########.##.#####.###.#######.##..######.#.##..###.#..#.#..######.#..##..###.#.#####...####.###...####.###.##.######.######.#########..##.####..#.#..#.#.####..##.##...
..###.#.######...#.######..#.######.#.##.#.######..########..#####.###.##.####.####.#...####.#.#####.#########..####.##.##.#.#.##.###########.##..###.##.#####...##.#.#######.#####...##.#.##.#..#...#.###..########.#.##############.##.#####.##.#.######.#.#.##.####.#...##..###.######.....#
#.##.#.#######...###.#....######.###....####..####.#..######.##.#.###.###.##.#########..###.##.###..#...######..##..#####.#.####.###########.###.##.##.#########.#########.##.####.#..##.##.#.#.###.##.####.#.######.########.#.##..#######.###....###.###.##.#####.##.####.####...##....#.#.#.
.#.###.####.#.###.#####..######.#######.#.##.########.#####..##.#.#.#.########.#.##.#######....##..########.#.###.###..##.#####...##.###.##..########.####.#####.####...#####.###...##.#.##.###.#..#.#.######.#..########.###.#####..###.#.###...####.#######..####.####.####.###.####.####.##.
#####...#....####.#..#..#######.###.######.##..#.#####.#..##....########.####.#.##.#..##########.##.#.##.#..####.###.###..###############.....##.#..#.#...#.#####..#...#######.#.########..#####..#######.#####.#.#.###.###.#.###.###.#####.#.##.#.#.##.#.####.#.###.#.#####..###########...#..
##.####.######.##.#.#####...#.##.######.#..#.##..#######...####.##.#.###############.#######.##..####..#.###..####.#.####...#.#..##.#########.####.##.##########..####.####.#..#######..##########.######..#.#..##..#...#.###...##.#######.##.###...#.###.#####.#.#####.###.####....####..##..#
###...#####...#.####..###.##.######.####.###.####..##...##.#####.##.####....#.#..##.###.#.##.####....#.#######..####...###.....##.#.##.###.###.#.########.#######...############.#..#.##########..#.###.#..#..#######.#.#..#####.#################.##.##.#.##.##########.##.########.###.##.##.
##.#.########.##.###..#.#..##.#.###.##..#...#####.#.##.#..#.#######.###############.######..#######.#######.#..##..###.##.###.###.###.#.#...###.##.##.#########.#####.##..#.###############.#..##.##.############.#####.######..#.######.######.###...###.#####..##.########.#############..##.
######.....####.###########.#.#####.#.#####.#.#.#...###..##.####..###.#####.#####..#.#...##.#.##.####.#..#.#.#.###############.#..#####.###.#..###.######...##.##.################..######.#.###.#.#####.###..###.#.....####.#.##...##################.#.###.###########..##..#.#.#####.#.###..
#....#.######..###.##..#.#######.###.#.#######..####.####...##.#####..##.#.#.##.#..##.####....##.##.#######..#.#######.###.##..##...#.###.########.#.##.###....#..##...#.##.#######.####.#######.#.#.####.##..####.#######.#.######..#.###.##.##.#####.#..#....#.######.##..###.##.##.#####...#
#.######....####..##.#.#.##.##.##..###.#..#.##.#.#.####.#.########.#########.####..###.##.##.#.#.#.####..###..#.####.#.#.#.#.###.#..#.#...#.####...####...######.######.#####.#.#####.##.##.#.#.##..###.###.##...#################......##################...#.#.##.#####..########.##.####.##.
###.###.######.#.#.##..###..#######.#..###..####..#.########.##.############.#.##########.##.#######.#...####.###..#.#.#########.#####.#########.####...##..##.#######...###.#######.####.##..######.###.########.#..#.####.#####.#..#.#..#.#######..####.#.####.##.###.#####.####..###.###.##.
#..##..##.####..##.##.##....#...####..##########.#########.####.#####.####.#.####.#.#..#######.#.###..##########.##.####..####.#.######.#####..######.#.###.########..###..#..#.###..######.##.################.##.#......########.#..#.###..#....##.####.###..##.##.####..################.#..
###..###...###.#.####.#..#.#.#..####.##.###..#.#####..#.######.##.##..##.###.##.##############..###.######.######.#..##..#..#.#####.####..#.##.#.####.##########.#########.#####.###.#.###.#..########..###.#..#..##..#.##.#..#.#..#..#..#####..##..##..#.##.##.##.######.#.#.###.####.##.#....
.#.#####.#.##.#...#.####.########..###..##########.#.#..#.##.#.###.##..###...#.####.###.#######.#.##.#####.####.###..##.##########..##########.####.####....####.#...####..######.#.#####.#.##.#.##..##.####.######...######.########.###.#.#.###..####.#####.##..####.##.########.######.#...#
##.#.###########.#####...###..###.##.###.####.##..#########.#######.########.#####.#.#######.#..###.#.#.##.#.######.#...###.#.##.##..#..#####.#####.#.##.#.####.####..#.#.##.##..##.#####...########.###.####..#########..#########..#.#.######.###....#####.##.#.####.##.#.....#..#.####.##...
.#####.#####.#..##.##.#.#...#.##.#.#######.##########.######..#####..#....##.#######.#########.###.###############.###.##..##.#..##.###..#..#######.###.#.##.#######################.#.###..##.#.#.####.##.#################..############..#....#.#########.#######.###.########.#..#.####.#.#
.#######..#.####.#############.#.#.#.#..#######..#.####.####..#..######..#####.####.##.##.##.##.#.##.#############.#...#############.##.########.#####..#...#####.##.######.#.#..#...#.###.#####..##.###.###.###.#####.#..#####.#.##..##...###..#..####.#######..####.########.####.#######..#.
..#.##.#.###.####.#.##.####.######..#.#.#..#.###.##.#.##.#..##.##.#.#.####.########.####.######.#.###..######.##.#######..#####.###.#.##.##.######.#####.######...##.##.######.###..#...#.#.####.#######.#.#.##..####.###.###..###.####.##.######...#########.##...#####.#...#.##.#.###.#...#..
####.###.###..#.#######..######.#..###.##.####.#########.##..###.####.########.########..##.#######.##..######..#####...#.#######.######.###.###.##.#######.##.#####......#...######.####...##.######.##...#.########.##.#.####.##...#.##.####..#.##########.##.##.###.##.##.##..#.###.#..##...
#.##.####.#############..##.######..####..#.##.#########.####...#########.#####.#.####.####.###..#.#.#.#..######.#######.######.###.#.#.#.##.####.######.##.#..###..###.#####..##.##.########.##.##..###...#####.#...###########.##..############.#.##.############.#...##.#...##..##.##.##.#.#
..####.###.##...######..##..#####.#.#.#########.#.########.#.#.####.#.######....##....#.##.##..####.#####.#.#####..####.######.#...#.#.#.####...#########.###..#.#.####..###########.####.##.##########.################.#.#.##....###.#########..###.#...####.#.####.###.#.###.#.####.#...#...
##.#######..####..####.#####.#.##.#..#.######.#..#.#.######.###.###.##..##.##.#.#.#########...###...#.##########.###.#.##.#...###############.#.###...#.##.#..#.##.##.###...##.################.####.##.#..###.##.##.#####.#.####..#.#.###...##.##..##.##################..##.#...###.#########
...##.##.#########.#...##.#.#######..##.######.#########..###.##.#.##.########.####.####.#.##.#######.#####..#####.##.#.##.###.#####.#..#..###.###.#######..##.#.##.#######.#.######.##.#.##.##.###############..###..######.#....###..####.####.##..###..#########.####.######..##.######.##..
#.####.#.#.....#.##.##.##.###########.##.##.##..#######....##..######.#..#......########.#...##..####.##############.###.#.###############.####...##.####....#######.##...##..#..#######.#.###.###.#.###.#.##..####.####..#############.###....###.##.###.##.##...##..##########..#####.###.#..
####.####.##..#..########.#######..#.##.##.####.##########.#.##########..#.#########.##########.#####.#.#.#..####.#######.#######..#####..##.#####.######..########.#.##.#############.#.######.#.##.#######.##..##########.#########.######.##.####.###.##.######..###.#.##..####.#####...#...
#######.##.####.######.##########.######.....##..###.######..#.##.###.#####.#############.##.#.###.#####.####.#.###.#.######..####..#.##.######.#######.###.#####..##.#.##.#####.#.##.##..#.###....###.###.#.#.#.##.###....##.###....#####.###########...###.####.#.###.#.##.#..#..######..##..
##.#######.######.######.#.##..#.##...#.######..#.##....#.#######.#...#.########....#.#.###########..####.#######.##.##############.#.####..#..#..##.#.#.##########..####.############..##########.#.##.##..###.#####.#######.##.#######..#.###.#####.#...###.#.#.#####...#####....###..#.#####
#.#######..##.#####..##.########.#.##.###.#.##..#.####...####.#..###.###..#.####..##.###.#.#.####.##.###..###.####.##.#.##..###..##.#.#.#########..###.###.#.#.###..#..#..#..#.###..#..####.####..###..#.#.###.#.##.####.#####.######.#.#####.######.####.#####..#######.##.##.#.#####.....#.#.
.#..##.#####.#####.####...######.#.####.######..###.###..#..##.##.####.###.#####.###..######.##.##..##...###.########.####.####.#...##.###..##.####...##.##.#..#.##.#.#.##.#.#####...##.##.#..####.##.##.###..###.#########..######.#.##.#####..###.#.######.#.#.#...#.###########.##.##.##....
#####.##.####.#...######.##.##.#.##.####.####..####.##.####.###.####.#.#.#.##.#######.....#######.#..####.#######...#.########.####..##.####.############.#.#.#####...#..#######.....#.###.#.########.######.#######.#.####...#.###########.#.###.##.#####.#.#.#####################.#.##......
.####.#.#.######.#....##.#.#####...########.####.##.######.####.####.#..#########..#######..##.##.#..#.###.##.##..####.#.#####.#.##.#############.###.#######.#####..#.###.###.##.#.###.#.#.#.#.######.#..#####.##.###..####...##.###.#####..####.###.#####.#######.#.#.#.##.#..########.##..##
#.#.#..###.##.##...##.###...##.#.##.#.##..##...#########.###..########.###..##...##...######...#####.##.#.##.###.####.#######..###.##.##.###.#.####.########.######....##.###.#.####.#..##.##.##.###########..#######.#.#.####.#.#..####.#.####..###.##########.#.##.###..#..##..#####.##.#####
##.##########...#.#########.######.#..###.#####..#.####.###.###.#.##..#####...###.######.#.#....######..#.#.############.#.####.##...########.#####.#######.###.....########.#..#.#.##.############.##.#######..#######.#####.###.####.##..##.#.#..#.#######...#######.##..##.###..##..##...##.
.###.###.#########..#.###.####..##.#.#########.###..##.#.#.#.##..#######.#.#.#####.#.####..####.##.##.###.#..#####.#########.####.#.#.#######.#.#.####.#######..#####.##..####..######.####.#..##.###.#..###.#.###..########.####..###########.#.######.#.#.####.###..###.#.##########..#..#..#
###..#.######..#.##.#.#.######.###########.##......#...##..###.#..##.#.##.##.##.##.#.#####.#######.##.####.#..######..#####.############.##..##...###.#.##.###.#.######.####.#####.######..###.######.#.#.#...##.#############.##.#######.###...#.#.###..##.########.####...#.###.#..#.####.#.#
.##.##.#####...####...#.##.###############.#..#.#########.###..##...#####..#.#####.####.###..######.#.######.#########.#.#.#.###...##.##.######.##...#..##..####.####...#..###.#..#.####...####.##.############.#######..##.##.##..###..###.######.##.##.#.####.#.##.##.###.######.#..##.#.##..
##..#####.#######.###.###.#..#....#..##.....#####..##.#.##.#####.##.##..##.#..#..#######..##########.####.##...##.#######..##########.#..###..###########.###.###.###.#####.########.#######.##.#.##.###.########..##.##..##..##.###.#.###.#.########.#####.######.##.##.#.#..###..###.#.#.##..
.#..#...##.#######.#.##.#######.####.#######.###.###.###.#########.##.##.#.################.####.#.#.######.#.###.#####.#######.#.##.##..#########...#####..#.#.####..##..#..#.....##.#..##.##.####..#######.###.####################.##.#..####.###.##.#.##.#.#.#..##.#.#.######.####.#####...
##..######.#....#.##....#..######..#####..###.#####.##.#.#######.####..###########.###..##.####.####...#####.##...##..#..##.###...#####.######....#..#.####.#####.########..##..#...###.#####..##.#####.#.#.##...###.##.#..###..#.#...##..###.###.###.#.#.#.#.###.#.#.##.#..#.##.##..##.###..##
#.####.######.#########.#######.#...##..#####.##.####.#..###.#.#....#.#.#.#..#....########..#.#.##.#.#.##..############..#..######.######.########..#.##..##.##..###.#.######.#..####..###.#.####...##.##.####..#######.###..##..##.#####.#####.###..#####.####.##.###.##.######.#...###...#...
#.##.#####.##...##.#########.###....####.###########.#.##.#.#...##.#.#.##.#.#########.#..#.##..#.###..#.#####...#.#..###.#.####..#.##.##..####.###.#...####.##.##.############.##...#.##.########.#.####.#..#....#.#..####.#.######..####.#.###.#.#######.##.#####.#.###.########.##.#####.#...
########.#..#.#########.#####.###.#...##..#.##.####..##.#####....#.##.###....#.#####.#.########.####.#..#.#.########.#.#.#.##.###########.....###.####.#######..####...##.#####.#.####..#####.....#####.####..####.######.###.####.##..#####.###.####..#...###.#####.######....###.#.########.#
######.########.##..##..#..########.###....#.###.....##.######.#####.#####..###########...#.##.##..#..#######.###..##.######..#.####.######.####.#.#.######..###.###.######.####.####.##..###......##.######..###.##...#..##.####..##########..######.##.#.#..#..####.#...#.#############.###..
#.####.####..##.#...######.####..######.#..##.#.##.#####..#####.###..##..####.##...###..###.########..#######.##.#.######.###.###...########.######.#######...#####.##.##.##....#.#########..##.##.#.#.##.#.#.####..####.####.##.########.#..##.#.######.###########.#.#######.#.#.########..#.
#.##.######.####.#######..#.#...######.#####.#.####.##.###.#####.####.###.#...##.#..###...###########.#.#.##.#.....#.#####..#..#####...#######..#.#.##.#..#.##.###.##.#######.##.###.#.##...####..###.######.#####.######.###.#######.#.###########.########.#..##..##.##.#.#..########.##..#.#
######..####.#.##########...####.....##..###.#########.##.##############..##.########...##.###..##.#.#.#.######.#.####.######..######...#######.#.###.###..##.###..#######..#..####.#..#.#####.###...#.#.#####.##.#######.##########.##.######.##.#########.#.###...##.#..##.###...#.####.#....
#.#.#.############.#..#.#.#######.#########.####.#..###.###..#...#.#.############..#.##.#######.####..###.##.#.....##..##..#.###..#...###.###..#..#..###..##.######.#.##.###...##.#########..##.#############.###.######..###.#.##################.#.#..#.####.#..########.#######.###.####.##.
.#.#####.#.###......##.#######.#.#..##.#####.#######.#####.#####.##.#....####..##.###.#########..##.#...####.###.##..##.###.##.######..#####.#.#####.#.#.##.####.#####..#####.#.########.#..#.#####..###.####..#..#.....####.###...#.#######..#########..##.######.#################.#..##..#..
#.#.#.#########.####.#.#.#.###.#...########.####.#.##..#.####.#..###.###.####..##########..###.#.###.#########.##.#.####.###..##.###.#######.##.##.###.####.#.#.#.####.###....#...#....######..##.#.##########.####.##############..#.##....###.#.###..##.#.#.#..#.#######.##.#####...#.##.#.#.
########.#.##.#.####.#.#..##.##.###.###..##.##.##..#..#..###..##.##..###.#.#####.#.#####..##.###..#####.########.#.##.#..##.#######.###.#######.######.##..#.#####.#.####.##.#..########.....######.#######.##.#.###########.########.###########.#..#.###.##.######.#..##.##.#.#.#####....#.#.
.##..##.#.##########.###.####.##.#.###.##.#######.####.##..##.#..###....#######..######################.#.#####.###.###.#########.###.##.#.##..#.##.###..###...###.##...###.#.############....######.###.#..###.#####.####.#..#.##################.#.##..##.##.#.#.#..##.###.#..#.#######...##.
...#####.###.##############.#....###.#....######.###.##.##.######.##.##.#.###.#.##.###.##.#.############.#.##..########.#.##.#########.##.####..#.####..##.#..#.###.##..###..###....#####.##..#..########.#.###.#########.#..###########.#.#.###.###.#########.###.########..#.##..###..#####..
###...###.#.###.#######..##..####.#.#.######.##.#####..########.##.#.##.####.###..#####.#.....########.#######..###...#.####.######.#.######.#.####..###.###.##########.##########..###..#.#.###.##.#####...#..##.####.######...#.#.###.##.#.#..###.####..###.###..###...#..###.####..######...
#..####.##.###.####.##.###.#.####.##.##..#.######.##.#..###.####.#.#####.##############.#####.#..####...#.##.##..#..#.########.####.#####..#.########..#...###.####..#.##.#.#..###..#.##..##.#####..#######.######.######.#####.####.######..#######..##############.#.##...#####.#..##.##..##.
####.#..#####.##.##..##.####.#.#####.###......###.#.###..###.##.#.#.##.#.#..###.#.######.##.###..##.###.######...##..#.#.#.######.###..###########.####.##.#.##...####..###.#############..#############.####.##..######..###.#.#########....####.#######..####..##########..#.####.##.###.####
.##.##.#.#########..##.###..##.###.###.###########.#.#.####..##...#######.####.##..###..#########.##...#####.#..###.#.###..##########.########.###.###########.#.##.##.##.####.####.#.##..######.###.####...#####.########.#.##.####.#...######.#.###..####...####.##.#####.##....#####..#.....
#..#####.########.####..###.#..####.#.##.#####.#################.#######......#...#.##.###.#.#####..#..###.########..#.#####.###.#.##.####.....######.#.##.##.#.####.#.#####.#####.#.#.##.##.##.#.....########.###.#######..####.##.##.##..#.##.###.######################.###..#...######..##.
#.####.#.##.#.#.###...##.#..######.#.##.######.....#.###.######.#######.####..########..###.###..#..###.#...#.########.###.#####.#.######..###..#..######..#.#...###.#.##.##.#..##.###.#...#.######.########..#.#.###.#####.#.#...##.####.##.#.#.#####.##..####...#######.#.###.#######.#.#..#.
...##.########.#########.##.#..#...#######.#.#.####.###..###.#.#.#.#####.#.#.#####.##.###########.########..###.####.#########.####.##..##.######.##..#.###...#######.####..#.##.#####.##..#######.##.##.########.#.###..##.##.#.###.##.######.###.#.###.#.##.#..#.#..########.#.#.#######.###.
#######..###.#...#####.###...#....###.##.###..####.###.#.##...##.#.##...###.##.##.##.#####.##.###.####.#..##.#..##.######..#.#####.#..##.#.#####.######.##..#.#.#.#.##########..#####..###.#.#.###..##.##.##.#..########.###.##.########.##...#.#....##.#####.#######...######..####.#.#.##....
#..#...###.#####..#######.#######.##..#########.#..#...#....##..###.###############.######..#.#####.#.######.#####.##.#.##.###.##..###.#..#####.##.#.####.####.####...##.###..#####.#.##.#####.#.#.##.#.##########.#.##############.#.##..####.####...#.###.###...########.################..#.
######...######.#####..#.######.###.###...#.#.######.#######.##..#..#.##.#.#..####.###.###.#########.###.#..######.#.####.#.####.###.##.#.####.##########.####.##.#..#.##.#####.##.#.######.#.##..#####..######....#..#.#######..##.#####.##.##..#.#.####.#.##.#.###.####.#..#..####.#####.####
##.#####..#.####.#..####.###.#.###..##.#..#########..#########..#.#.#####.#######..####.####.####.#.##.####.##.#.#######..#..##.#######..###.##...##.#..##.##.##..#.###.#.#..##########.############..#..#.##.#####################.##..###.#####.#..#.###########.#.####.######.##.#.##.#.#..#
##.##.##.######.####..#.##.#..###########....####.#.######.##..##.##..##.###.#####.####.######..###.####...#.#.######.#.##.##.###.###.##############.#.#########.##.####.#.#######.#######.#.##.#####.###.##.#..##..###..#####.#..#.#####.#####...##.#.####.#..####.########.###.#.#..##..#####
.#.##.######...#######...#########.####.#..#####.####.########.###.#...##.####.####.#############.##..####.#...##.##..#####.#######################.#.#####..##.##.##.###########.#.#.###..###.###.#.##.##..#.#.####.###.######..#.###.##########.##.#######.##.#.###..#####...#.#.##.#..###.#.
#.###...#....#.###.##.#########.###..##.###.###..######..#.####.#.###.##.##..#.###########.##.#####..#.#..##.....##.##########..###.###..##.##.##.#######...##.#.####.######.##.#..###..#..#.###..#.##########.####..##.#..###.#########.##..#...#.###..#..###.#.####.###.#####.....###.####...
....#..##.###..###........########..###.######....#.#####.#####.#.#####.#.##...#.###.#...######.###...##..#####.##.####.###.#..###########.##.##########.##..#.########.####.#..#####.###..##.#.##.##.#.#.#.#####.#.##..#.##########..#.#.#.########..#.########.#######.#####.#.#.##.####.#...
#.########.##.##..#.#..#########.#.#.##.##.##.#######.#...#.#..###..#.#######.########..##.##.####.#.###.#####.############.#####.#..######.#######.####...##..#..####.#.##.#.....###.#.###.#######.#######..####.##...#..#########.#####.#.####...####.####.#..####.###.###.####...###.##.###.
.#.#.######.###.####...#...#########..###..#..#######.##....######..#####..#..###.#####.####..####.##.#####...#..#....##.#########.#.#.....#####..#####.#####.###.###..#.########.#.##..##..##...##.#.######..#..#########.#..############..######.###....##.#.##.##...######..####.#######.##.
##########.#####..##..###.##...#.#.#..#.###.########.#.##.####.##.###.#.##..#..#####..#####.#######..##.#####...###.###.#.##.#.#.#..######..#.####...############.###...##.#.######.###########...#######.####..##..##..#.########.######.##.##..###.###.#.#...##..#.#.##.#.#.####....#.##.##.#
.##.###############.##...##.##.###.######..#.#.##.##.#########.##.##.##.#########..####..#####.###....###.##..###..#..##.###.#..##..##.#####.########.###.####.#.##..###.########.#.###.#....####.##########.####.##.##..#########.###.#####.####.#.##.############.##.##.###.#.########.#.#...
.#..###.####...###.######...#.####.##.##...#####..#.##.####.####...#####.###..####.########..######.#.###...###.###.###.#.##.###.####.##########.##....####...##.#.#.#....#..#..###.####.#.#..#.#..##..##.##.########.########.###.####.#.######.#..##.....####.##..###.#....#########...#..##.
..#.#..####.#############.########.####.#.######.#..#.#.#####..#.##.#.#########.###.#...#.#####.##.##.###...#######.#.####.#..##.##.###.#.#.#.####.######.#.#############.####.#.###..#.######.##.#.##.####.#.#.##.##.####.#######.##.##.####...##.###.##....#.##.###################.#..###...
####.#.##.##..##########.###############.###.#..#.###.#..###.######.###.########################.#.....#######...####.##.#....#.########.#.#...#####.########.######.#.##########.###..###.######.####.....#..#############.###.#.###.##.##..##.#####..#.###..#########..#.#####.##..#.##.##.#.
.##.#############..##.#.#.#####.#######.##..#######.##.######.###.#..###.##.#.######.#############.####.####.####..##.#.##########.####.#.##.##.##.##.##.#..##.##.####.#########.#.#.#....###.###.####.#####...#.##.##.#######..###.#..#.###.####.##.##.#.##.####.######.#.#..#####.#.#..#####.
#.#.######.######..##..##....######..#.##.#..#.#.###..###.#.##.###.#######.########.##.#.#..##################..#.##########.#.####..#.#######..#.#..###.#.#####...###..####.######.##########..#.##################.###..##.#######..#.##..################.###.#########..####.######.##..##.
###.##.####.###########.#####.##.#.###....###..####.#.#############.####.####.###.#.#####.#.########.#.#.###.##...#####.#..#...#########.##.#..##.#..###.#.####..##.##.#.####..#.###.####.####.###.###.#####..##########.########.###.##########.####..##..#######.####.####.#.##..#####..#.#..
..##.#########.######..#..#.###.##.#######..####...##.#####.##...##.###.##.###.###.#####.#####.##.######....###.###.###.###.#.#####.#.###.####.########..##.##..##..##.#####.#########.#.######.#####..######...##.####.####.####.#######...##.#.#..##..##.###.######.#...#.###.#...#.##.#..#.#
##..###.#.########.####..####.#...#.##..#...###.##.#.#.###.###.##..####.#.#.######.#######.#.##..####.#####.####.###.##.######..#..##.#####..####..###.#.####.#.###.####.##################.######.###.#..#.##.#.#.#########.###..########...##.##.##.###.####.###.######.#.#.########..#...#..
###.#######..#.##..#########.#...##.#..##..#.#######...##..####..##########.####.#############.#.####.#########..#.###.##.#.#.##..######.######.###.##.#..########..##.#.#######.###.#..####.#.#.###..####...#####.##########.#.######.######.#.##..#############..##..#####.##....#####.##.#..
.##.########...#######.######.######.######.#.##.##.###.#.#######.#####.#.##...##.#..#######.##.#..#.#....##......####.####.#####..######.###.#..##.#####.########.#.##.################...###########...#..###.##.#..###.##.###.#.###..####..####.####.#######.....#.#.####.###....#.....#..##
###.#.#.#.#.##..#.#..######..#..#######.####...###.#.##.#...##..##.####.####..#...###.#.####..###.#.#...######.###.##.######.#####.###...####.######..#.#.####...####.##########.###.###..#####....###.######.##.######.##.###...#######.##.#######.####.####.############..#.############.##..
###.#..##....#.#.###.####..#..#...######.##....#######.###..##############.###..##.##.###.###.######.####.#######...#.####.####.#.##...#...######.#######.#####.###.#######.#.##.####.#.#####.###.##..###.#.#.#######..###.##.#######.#..#.###.##########..#.####.##.####.#.#############..##.#
##.#.##.#####...#.#########.######....##.#.####.##.#####..#..#.#.##.#.#########.#########.#..####.###.###..####.####....###.###.####.#####..###..#..####.#...###.#.#######.#####..####..#####.###.###.#.#####.##.####.###.##.#..#.##.######.#..####..##.#..#..##...#.##########################
##..##.#..###.#.###.####.###.#..###############.#.####.#.######.##..#######.#######.#.###########.##.###..###.#.#######..###.#######.###.###..#.###########.##...#.#.#.####.#.##########.#############.####.#######....#.###..###.#...##.#.#.###...#########.#..#..###.#.##.#.#####.##.##.####.
####.###.##.####..#.#.###.#.######..##.##.##.###.#.#######..#...######.######.#.####.#######..#.#.#####.##.###..########..##..####.##..####.#..###.#.##.###.##.#...###.#####.##.##..###.####.#.##.###....####.##.#..##.##..####...##.#######.##..#.####.###..##.###.##.###.######.#######.#####
###..#####.#..###.##.#.####.########.###.##.####..##.#.##.##.#####.###########.#..##.#####.###.###.##.##.###########..##..##.#.##.#####..#######.#...####..######.########.###############.###.#####.#.####..##########...#.#######.#......#.##.###.#####..####.#.######.####.###..########.#..
#.#...#.#.#.###.##.#..##.##.###.#.#.##.#####.#####.#.###..#.####..#....#######...#.####.####.##.####..##.#######.#...####.###.##.######.############.##.##......####.#..##..#.##.########.####..#..###......#########.####.###.#.#..#####.######..##..#..####.##.#####.#..##.#####.#####.##...#
###########.#####.#.###.##.###..#.######..#####.#.########.#.##.###.##########.....#.#######.#.#####.#..######.#.####.######.#...######..#.#.###.####..##.#####.#######.##.##.#######..#.######.#.###.##.##.....##.###..#..###..#.#######.#.#######.#..##.####.#.#.#.##.#..##.###.######.#...#.
.##..###..#.#..###.########.##.#######.##..###.###.########.####..#..##.##########.######..##.#.#.#.########..##.###..###.#.####.#.#.#######.###.####.#.#.#############.#######.###.#...#.####.#.#.###########.##.#..#.####.##.#####...#.######.#.#########.#####.#..######...############...#.
###.#.###..##..######.##.###.##..##.#..##..#..#..###..###.#..##...######.#####..###.##...##.#.##....#.###.################.########.#.###########.#..##...#.##.##.##.########.###.########.#..######...#.####.#.##..##..###########..############.#..#######.###..##.#.#.#####.####.#..##.####.
.##....#.########.#.#.###..##.#.##.###########.#.#.#####.#######.#####.#.####...#####..#####.#.##...####...#.##.##..####.####################..##.###.##.#.##########.#####.#.####..#.####.#####.#####..#.#.##.##.#..##.##.#####.##.#.##..#..###.###.#####.##.#..#######..#.##########.#..###.#
.#..#####.##..###..#####.##.###..#...##.##...##.####.##.######.#####.##.#####.#..#.###.###..#########.#####.##.##...#######...##.##.#.###.##.......##.###########.#####.#######..#..########.###.....#.####.###.###.##...#.##.#.#.#.#.####.####.#########.####..##.#.#..##.#.##.######...#....#
####.##.##.####...###...###.###..#.###.###.#.##.#####.#.#.#..###.#..#.######.##.##....#############..####.#.#####.###...##..#.#####.##..#..#####.####.###.##....###.###.###.#.######...##.#.....#.#####.###.#..###.#.#####...######.##################...#.#########.##.##.#.#.##.###.##.##....
##.##.##..####.######.#############.####.###.#####..#.####.#######..###.#.######.########.##.####..###..####..#####.####.###.####...#..###.#..#####.######...####..#######.#.#.#.##..#.#.#####....##.#.#.#..#######...#.#####...###.#.########.#.#.#..############.#####..#.#....#..######.#.#.
#####.#...##########.##.###..#..############.#.#.##.########...#.####.###.##..#.##.#.#####.#.###.#..#.#.#.#################.######.#..#####.##..###..####.####.#######.#.#.#.#.##.##.#...#..#######.####.#.####.######.#.######.##.##..###..#.#############.##.#.#...##..##.###.#.#.###.#####..
###.####..#..#.###..#.#.#.##.####.##..##..##.####..#####.#.###...#####...#.#..#..###..#######.###.##.###.###.##.#.#.#....###.#####..###..######..##.#.####.#####.###.###..#.####.###..###.##..###.##..#.###.##.##..#.###.##########.###.#....#.#########.###...#####.#.#..####.####.#....#..##.
#######.###...###.#.###.#####.####.#.###.###..#.#.#.##.#.##.##.######.#######...######..####..#..####..##.###.###########..#.##.#..###########.######.##...##...################.###.###..#.#......####.###...#######.##.##.#####.##.#######.#.####.###.##.#####.##.##.##.#..####.##.###.####..
#######.#.#########.##.#.#.##.##..#..#######.##.##########.#####.###.#####.#....##..######..##.####..#..####.##.##.####.####..#..#.##..########.##.#..##.#.#######.###.########.##.#.####.##.###.####.###.#########.##.####.##..###.###.#..##..#.####.####.#####.#.#.#####.##.###.#.#.######...
##.##.####.####################.##########.######...##..######.###.#...#####.#..##.#####..#...#..##..##.#.##.#.#######...#.#.#.###..#.##..#.#.#####.####.#.##..#########.###.###..####.##..#.##...##.#.#####..##..#######.##..##.......##..#.######.###..#.#.#..#..#.###.#############..##..#.#
###..#######.##..###.#####..###.#..#.#.##.#####.##..##...###########.###.###.###.#..##########..##.####.######......####...#.###.##.###.#.####.###..######.#..######.#.#..####...##.#...#.#..####.##.########.######.#.######...####..#.#.###.#############..#####.########################....
.###.##.##..##.##.#.#####.####...#####.##.#####.####.##..##############.#..#.#.##.#.#...#######...#######.#####.###.#.########.##..#.###.########..#####..#.###..#.#.#######.######.##.#######.##.####..##..###.##..#############.##.#.######.###...#######.#######.#..##..###.########..##.###
..######..##...#.###.#.###.###..#.###.#.##############.#.####.##.#.##..##.#.#########.##.#..##.#.###.####.#####..#.###..#.##..#.#.#.#####.##..###..#####..##....###.#.#.#.#.###..###..#####.##....#####.#.###.########.#.##.######..##.....#..#####.#..#####.######.####..####.####.###.#.###..
.#######.#..###.##.##...#.#####..##.#######.########.####..####.###.##.#######.##.#.###.###.###...#.#########..###.##.#########.#.##.#..#.#####..#.####.##.###.###.#.#####..########.###.####.###.#.######..###.###..######.#..#.##.#..#..##..#.######.##.#.####.#####.#######.#########.###...
#####..#.#######.##.####.###.###.##.####.#.####.#.########..######..###..##.##..#########.######.####..#.#..##.##...#####...#.#..#####.##.#.######.##..#.##.#.#########..#.#.#.#####..#..#.######..######..#.############.##.########.#.##.##.#...#####.#.####..##.###.####..####.#.########...
#####...##.####.####.####.###..##.#..#.#...##.######.###...#################.#########..#.######..##.#.##..#####.#...###.#####..##.#.##..#######.#..####.##########.##.##..###.###.###.#.##...###########.#.####.##.###...##########.###########.###.####..##.####...#####.#...#.###.####....##
###..######.##########...#######.#####...#.####.################.#.#####.##.#############....#####.####.###..##.#..#####.#..#.####.###.#.##.##########.#..##.##.#.#########.##..#..##.###.###############.###.######.####.###.######.###.######.#############..#####.##.#.###.####..#######..##
###..#..######.###.##..##.###.####.#####..##.########.##.####.###.####..##..#####.##...#.##.#...#.##.#.#.##.#####..##.##.#.#....#.##########.##..##.#####.#..#######.##.#.######.#.##..#.#..####.#..#..##########.#####.#...##.###.###..##########..####..#.#.#.###.#..##.#########.###.####.##
.##.#.#.##..#.#####...#..##.#..#.#########.##...###.##########.#.##.#.######.#.####.#.###.#.#..#######.##########...#.###.#.#.##.##..#####..#######.###.#####...####.####..#.#..#.###.###.####.#..#.##..#.###.############...####.####.##.#######..#.##.#.#.############.###.##..##.#####....#.
#..#####..###..###.#.##.########..#..##.####..#..########.##.######.######.###.##.##############.#.#####.#.#####.##.#.###..#######...##.#..#.#.####.#####..##..###########.###.########..##########.#.#.#.###.#.#####.#####.##.#####.###.##.#.###.##.##.##.#.##..####.#####...####..#.##.###.#.
##########.#####....######..#.###.######..#...##..#.#.#####.####.##.#.#########.#.###.#######.####.######.#.####.#.####.########.######.##.#..##.#####.#######...##########.#..###.#.########.###.#.#.#####..####.#####.#.####..#..#.#.#####.###.##.####..#.#####.#####.########..#####.####.#.
########.#..#####.####.#.#.###.#.#######.##.#...#######.#.########.#.###.######.#.####..#####...########..#.#.#..#####..#.#.##.#.###.##....###.#.####.#.##..###.####.#######.#..##.#..#.##.###.###.#.##..###.####...###.#.######.#.###..######..############.##.####.#.#.#####..######.#.####..
###.#.##.#..####.######.#.#..#####...#.###..#########.##.#...#.###.##.#.....##.#################.#.####.###....#...#####.###############.###.##.##.#.#######.#####.#.#.###..####..#####.#####...####..####.######.####.######..#####.#.##############.###.###..#.##.#..#############..#####....
#######...#.#.#.##.#######.#####..####..######.#.#..#.#####.####.##..##.#.##.#.###...##.######.#####....#.#.##.###########..#..#...####.##...##.##.#..######.###.#.####.###.##..#.###########....#####...#.#..##.##...######......##.##.#######.######..#.##.####.#####.##.#.#.#####.#.##.###..
..#.##..##..#....#####.##.####.#.#..####.##.##.#.######.#.#..#.##.#####.#.########.##.#..###.##########.##########.#####..##.#.#####.##.###.############.####.###..###.#.####.#..#..#######...######..##.###.###.#..#.####..######..##.#.###.#..###########.#..#.##..###########.#####.######..
##.#.###.#.#.###.###..#####...##.#...##.###.###.#####.#.#########.####.###.###..##...##.##..##.###.#########.##.##.#####.###.###.####.########.###.#....####.###.#..######.#..#######..#.#.#####..#..#####..#.##..#.######.#..####.#.##.#####.###############.#..#..##.#######.###.###....###..
####.###.######.#####.##########...#...#.###.#.########.##.#####.#.#.########.#.##.###.##.##...#.######.######.##.#######.###.##..#.##.######.##..#.#.####.########.##...##.#.##.###########.#####.########.#.##########.#..#....##.###..##..######.####..####..#################.#.##.###.####
#..##.###...###.####.#################.#################..######.#.#.####.###.##############..##...#.##############.#.##.#.##.#.#.#########..###.###.#.####.###...######.###################.##.####..##.#..#..##########.#.###....###########.#.##.##...###..##########..####.#..#.###...#...#
..##..#####.#####.#.##.###.#...##.#######.#.#.##.#.###.###..#...###############.###.####..###.#.###.##########..#############.#.#.#.####.#.###.##..######.######..###..######..######.#.##.#.#.##.#####.##.#.#..#.####.####.##..#####..####.########..#######..#..#####..######.######.###.####
##.#####.##.#####.#.#.####.#######.###.###..##.##..###..####.#######.##.######..#.#..###..##.#.#.###...####.####.###########.#..##.#####.#..##########.#####.#######.#...####..####.##.######.#####.#################..######.###..#.###.####.#####.###.####.##...##.###.#..#######.#..####.#.#
#.##.##.####..#..#.#.######.###.#####....###..#.##...##.##.#.#.#.#...##.#.######.#.####.#..#.################.#...#######.##..##########.##....#####.#.#.###.##########.####.#####.#.##.#############.#..########.#.#.####.#####.####...###.###############.#.####.##...##.####.####.##.##..#..
.###.##.#....#.######.#...####.#########.##..###.#....####..#.#.###.#.###.################.####.######.##...##.######.#.######.######..#.#.######.####.#########.##..#.#.########.#.#.##..###.#.####.######.######.#...#.#....#.#######...#.###.###.#..#...###.###.#..##.#.#.#.######....#.##.#
..#.###...#########.######.####.#.....##########.###..####.#.##.##########.###.##.###.###.#.##.#.###...#.#.#############.##.####..#.#.#.#########.#...####.########.####..##..#.####..##.#.#####.###.####..#.#######.##.#.####.#.##..###.#..###.##.##.#########..####.#..###..#.#.##..##.####..
####..###.#.#..#.###..####.######.####.######.##...#####.##....#.##.########.##..##.#...####.#.#..##.###########.###.######.####..############.####..#######.#.##.########.#######.##.#########.#.#####.#..####.###.####.###.###.########.#.#######.##..#####.#####.##.###...#.#######.##.#.##.
.####....###..#########.#..###.#######.##.###.##.##.#...#.###############..##.##.##..###..####.#.###########...####.#.##.#.######......####.#..#####.#.#.#.#..###########.#####..####.########.#...##.#.##.#.####..##.#.##..#.###.#.#####.#.####.#####.#.###.####.#.##.##.###.##.#####.#.##..#.
#########..##.##.########.#######.##.###.####..#######.###.####.##.#.##.###...#.###.###.##.###############..###..###...########.#######.####.####...########.##..###.#.######.######...####.#.#...#..##.##...#######..####.###.############.########.###.#######...######.#...#.###.##...##..##
#####.#########.#.###.######.##.##.#..#.#..#.##.#.###.##.##.#.####.#######.#.##.####.#####.#..####..###.##..######.#..#.#.####.###..##..##.##########.#########.#.###.####.#.#.#....###..##.###.####.#.##..###.#####.##.#.#..##.#.######.#...##.########.#.##..###.######.#.##.####.##....####.
###.######.#######.######.#.##..#.###.####.#.##..####.#...##########.##########.#####.###########.########.##....###..##.#####..####.####...#############.#..##.#####.#.##.###.####.###.#....##.############.#.#..#.###.####...####.##.####.#######.#..##..##.##.#######.#.##.##.##.###.#####..
##.########....####...##.#..##.######...##.#########...###..###.##..###...###.###.##.###.#.#.#####.####.###..####.#...#..#####...###.#####.#######.#.#########.#..##.#.##.#######.##.######.#..#######.####..#.##.########..##.#.##.####.##.#####.##########.######..#####.#######.########....
###...#..###...#.######..#.##.##.####..####.############.#.##..#.#####...##....##########.#..######.###.#####.####.##..######.######..#.#.##..#######..##..##.###..#...#.##.#####..#.#.#.##.#.#####.#.####..#.#########.####.#.###.#..#.#.#.##.##.#..##.##.##.##.#..#####.##############.#..#..
###.#######.#.###.#..##..######....####.##.####.#.##.#.##########..######.#####.#.##.#.###.#.####.########.##..#..####....#.###.######.######.##.####.###..###.#######.####.#######.#..##..#########.##.##########.####.##..##..##.##.###.##.#..###.#.######.##.###.##.##.######.#.#.####..#...
##..#######..####..#####.########.######.#.###..###########.#######.#######..##.#..#.#######.###.#..##.#####.##########..########.##.#####.#.#..######..##..##..###.##.#.##.###.######...#####...#..#.#..#########.##.###.##.###.######.#.##.#########..######.#####..#..######...#######.#.###
####..#..######..#######..#...###.###.#.#.#####.#.#.#..#.##.#####.#.##.###.##.##.###.#####.#..#..###.######.#.#.#######...#########.##.#######...###.###..#..##.##..#..##..#..##.##.##..#####.##.####.#.##.######..##.#####.########..####.#...#.###..#.#..###.#######...#.##.##..##.##.###.#..
#.##.##.##.#.####..###.###.#####..#..##.#.#.##..######.###.#.#.####.########.##.###....#.#..##.############..#.######.#####.###.############.###.#...###.#.###.###.#..#####.#.#######.#######.#..#####.#.#..##....#############.#######.##.#####.#########..####..#.###.#.#.#############..##..
.#.##.#...######..###.#.#.#..###.#.###.#...####..####.#####.##...###.#.##.#.#####.#...#.#..######.#######.##..#####..###.##.#######.##.####.#####.#######.##########.###..#.####..###..##########.#################.###.###.#####.####.##############.#..#####...######...#.#..#.#####.#.#.#.#.
##.#.#.##.#####.####.#.##########.########.###.##.#####..##.###.##.#.####..#.#..#.###.#####.######...####..###..#######.###################.#.########.######.###########..####...#.##..#######.##.##..##.###.##.##.######...#####.###.#.##.#####.....#.####.###.#..####..#.####.#.#####.####..
##.#####..####.#####..######.#.#####..#####..#.#.#############.#########.#.#.###.#.###.##.####..##.##.##...####.#####.#.#...##.##############.###.###.#.##.#...#..#...##..#.#.######.#.###.#####.#......#.#####..###.##.#.####.##..#...#######...##.##.##########.#..#.##..#..#..#.###.#.#.#...
####..##.##.#...#.###.###.###...#######.#....#..###.#.#.###.##.#####...#.#.###.##.#.#####.#.#########.###.###..#..#...##.#####.#######.#.#####.##..#..#.####.####.######....######..####.######..#.##.###.#.#..######..##.#.####.###.###.####.##.###.####.##.#####.###.#.##.###########.###.#..
###########..##.#.#######.###..###########.####.###.#.#..#.#.#.############.####.#.#########.##.#.##.###.#############..#.#####.###.#############.#.#.##.##.#.##.#..#.#..##.######.###.########....#####.######.##.#...#.########.##########.###.##.##################..###.#..#.##..##...###.#
.#######.#.#.###.####...#####..###..###.########.##....###.###.##.#.#.###.##.#..##.#..#.##..#.###.#...########..####.###.#.##.#####..##########.##..#.#..###.####.#.##.###.##.#####.###.#.##.##.####.###....#.################..#########.######.###.####..#..######..####.####.###..#..#.##...
#####.##...##.###..##.######.###..###...##.####.##.##########.#####.#.###.##########.#######..######.##.##############.#.####.###..#.#.#.###.####.##.#.##.#..###...#.##....#######.#########..#.##...###.#####...####.####.###.######.#.#.##.##.#.########.###########.####..###.########..##.#
##...###.###.#####..##.#######.##.###########..####.####.######.########.####.##..#..#####.#.###########.##.####..##..#.##.##.###.##.######.##.##..##..###...#..#######.####.##.#..#################.#.##.###.###############.#..######.######.##.##.#######.###.##.###.##.##..##.####..##..##.
########.####.#.#.###.#.##.########.....#####.#.##..#.######.##.#.#.##.#.#..####.##.##.############..#########..####.##.##..####.#.#.###.#..###.##.#.###########.##.###.####..##.####.##.####..####.##.##.#####..##.##.#######.###.#####.#################.#.###....##.######.#####.######.##.#
.##..##.###......##.#######...###.#.##.#######..##.###.##.##.####..#.######.##..#.##.#..#..#######.######.#....##.#########...#####..##.#.##.####..#.########...#.###.#.##..###.###.#..#.####.#..###########.##.#.#.#######.##########..####.#####.##..###.##.#.#.#####.###.#####.####..####...
########.#..##...######.#.###.#.#.######.#######.#.#...####..####.#########..#.###..###########.######..######.###.####.#.##.########.#########.####.##.#.##..###..###..####.#.#.#####.###.#.##.#####.#.#.#..#######.###.###.###.##..#....##.##.#.###.###.##.#.#####.######.##...####..##.###..
######.##.##...#..#.######..#...#######.####.##.####.#######.##.###.####..#.###..##.##.##.##.####...#.#.###############.##.##..###..#####.######..##.######.##...##.#.#..####.##.#.##.####.##.#########.#.####.##########....#######...#..############.#####..######..##..####.#####.####....#.
#######.#.######.###.#######....####..################..#.##..###########.#..#######.####.##.#..#####..##..#.###...#####.#########..##.####.#.########.#.##.#.#.#########.#.#.####.####.###....##.#..#.######...#.#########.#.######.##.#####.###.#######.#.###.#.####...#.#.###.###.####.####.
##.#.#############...###..####.####...##.#...#############.####.########.####.##.#####.#..#.##.##...###.##.###...##...##.######.####.###..#####.##..####.#.###.##.#####.##...#####.##.###.#..#..##..###.#######.###########..####.##.#.###.###.##.####.##.#.#.##.####.##.######..##.#...##.#...
####.##.########.#.#.####.#########..##.#####.######...#.######..##.#########....#.....###.##..#####..#.###.#.##.#.#.#.##.##.####.##.#.#.##.#.###.###.#.####.###.#.###.#.########.####..##.##...##....####.###.#####...#.###..##.#.######.########.##.####..###.####.#########.#.##.##.####.##.
####..#..#########..##.###.##..######.########...#.#######.######..#########.#..##.####################.#.###.#.#.#.####.#...###.#.....####...##....#..##.##.##.####.#########...##########..#####.######.##.##.##.########.###.#####..#.##.#####.#.#######.###.#####.#.###.###.###.##.#.####.#
##########...#.#.###.####.#...######.###.#.#.##.##.#..####.######.#.##.#.#######.###.####.######.#.####.##.#######...#..#.###.#..######..#.######.#.#.######.#######..##########...#.#.########.###.####..#.##.#####..#######.#.##.####.#####.#####.....###.#..####.....##.####.#.#.##.#####...
#.#.#.##..####..##.#.##.#####..#......##.######.########.####.##..#..##.####....#...###.#.##.#..#######.#..#####...###.#####.########.###.###.######.#..##.###.##.###.#.###..#.#...##..##.#.###############..####.######..#.#..###......###..#...##.##..##.################.####..#.##.##.##...
..##..#.##.###.###..####...#.###.###.##.###...##.###.#.##.#.#########...######.##.##.##.##.####..#.#..###.#.#.#######.######.#.#.####.#.########.######..####..##.#...#..##.####.####.##...#.###..##.##.##.##...####.##.##..###....##..########.#...#...#..####.#.##.####.######..##...###.#...
####.#.##.###.####.#####.#...##########...#.#####.#.#####.###.#######.####...#...#...###.###.##.########..#........##.####...###.#.##.#####...########.##.###..#.##.#####.#####..###..##..##.##.##.#..####.#..######.#######.###.####.#.#.###.####...#..###.###.##....##.###..#.#.##..####.###.
##.##..####.#..##.##.#.################.######..####.##########.###...##....###..##.###..#.......#####.#..####.#.#.##..#.#.#..####.#.#.###.####...##..#.....###.#.####..####.#####.##.####..#..#.#.###...####.#.#.#....##.####.....#.#.#.###...####..###..##.###.##.####.....#.#.###.#.##.#....
.#..#########.#....##.##...#.##..#...#...#....#..#..#....#...###.#.##.#.....###.....#....#...#..#...##.#.#..#######.#...#..#..###...#.#.............#..#.#######...#.#....#.#..#.##.#.####...#..#...#...#.......##....#.#........###.#..#.##.........#.....#.#..###..#..#.#..##..#..###.##.....
....##.......#....#.#.#.#.....#.#......##.........#....##........#.......#....#.##.#............##.#......##..#..#.....#.#..##...#.....##....##...#..#.#.#.........##..........#..#..........#......#..#..#.#..#..#...........##....#.........#.......#....#.#..#....#.......#.#........#......