# ImaginaryCTF 2021 - Mazed

Misc – 225 pts (38 solves) – Chall author: puzzler7

This cheeky server taunts us with a 4D maze of length 10, so a total of 10x10x10x10 tiles. We start in one corner, with the flag in the other. Because there is only a time limit of 10 seconds and not a limit on the number of moves through the maze, we can just calculate a brute-force solution. Not exactly elegant, but there is no need to be this time.

Check out write-ups by my teammates on K3RN3L4RMY.com

## Exploration

Upon connection we are greeted with a statement telling us the server will take a moment to generate a maze for us. Then, without warning, it spews out cross-sections of the maze as follows.

@..###.#.#    .#..#.#...           ..#....###
#.#.##.###    .####.###.           .#.##.#.#.
.##...##.#    ..#.###.#.           .####.###.
##.##.##.#    .#.##..##.           ...#.##.##
..#.###.##    ##.#..####           .##.....#.
.#.#...#..    .##.###.#.    ...    ..##.#####
#..#.#.#.#    .#.##.#.#.           .#..##..#.
.#..###.##    #.##.#.##.           ####.###.#
..###.#.##    ###.#.##.#           .###..#.#.
#.##....##    ....##.#.#           ....##...F


The notation of the maze is quite straightforward, ‘@’ marks our location, ‘F’ marks the flag, ‘#’ marks a wall, and a ‘.’ marks passable terrain. Finally, the server notifies us that we have only 10 seconds to provide a path from ‘@’ to ‘F’. I already took longer than 10 seconds to read the message itself, so there goes my first try down the drain :c.

Although we are provided the server code showing the process of generating the maze, the size of the maze seems small enough to be brute-forced by a simple random-walk simulation. The maze contains 10^4 tiles most of which have 8 possible directions to move to. This might seem daunting at first, but as you will see, for a computer this is still a trivial task. Let’s make our own ~dumb~ ignorant Maze Runner (not a sponsor)!

## Exploitation

First, we need to extract the maze from the spewing server. It prints out a total of 100 cross-sections, such that one plane spans two coordinates, 10 planes span the third coordinate, and the ten sets of ten planes span the fourth coordinate. This means we can iteratively read and store the maze as such:

# Empty maze list to represent the maze
MAZE = []

# For every set of 10 planes
for i in range(10):
ILST = []

# For every plane in the set
for j in range(10):
JLST = []

# For every row in the plane
for k in range(10):

# Read the full row (10 elements)
JLST += [list(s.recvuntil('\n',drop=True).decode())]

s.recvline()
ILST += [JLST]

s.recvline()
MAZE += [ILST]

s.recv()


We are also going to need a way to read out specific locations within the maze given four coordinates.

def mazeloc(a,b,c,d):
""" Returns the maze tile at given coordinates. """
return MAZE[a][b][c][d]


Note that it does not matter how we represent our coordinates, nor does the order, as long as we are consistent about it within our code. The next step is, given a specific location, to check all possible valid moves.

def getmoves(loc):
""" Returns a list of valid moves from a given location within the maze. """

# Empty list of possible moves
pos_moves = []

# For each dimension (1 dimension = 2 directions)
for dim in range(4):
new_loc = loc[::]

# If we are not located at the positive edge, try moving in that direction
if loc[dim] < 9:
new_loc[dim] += 1

# If we do not run into a wall, let's append it to our list
if mazeloc(*new_loc) != '#':
pos_moves += [new_loc]

new_loc = loc[:]

# If we are not located at the negative edge, try moving in that direction
if loc[dim] > 0:
new_loc[dim] -= 1

# If we do not run into a wall, let's append it to our list
if mazeloc(*new_loc) != '#':
pos_moves += [new_loc]

# Return list of possible moves
return pos_moves


Before we create our runner, let us make sure that the solution we find will be accepted by the server. For the server to accept our path, we need to encode it in the following way: ‘a’ denotes a move in the negative direction of the first coordinate, whereas ‘A’ denotes a move in the positive direction of the first coordinate. ‘bB,cC,dD’ all denote similar moves, along the second, third, and fourth coordinate axis, respectively. We will encode our list of traversed location coordinates as such.

def pathing(locs):
""" Returns the pathing code from the list of traversed locations. """

# Empty path encoding string
path_code = ''

# For every location in our list of traversed locations
for i in range(len(locs)-1):

# Calculate the direction of the move.
dif = [locs[i+1][dim]-locs[i][dim] for dim in range(4)]

# Add the appropriate move encoding to the path encoding string
if dif[0]   == -1: path_code += 'a'
elif dif[0] ==  1: path_code += 'A'
elif dif[1] == -1: path_code += 'b'
elif dif[1] ==  1: path_code += 'B'
elif dif[2] == -1: path_code += 'c'
elif dif[2] ==  1: path_code += 'C'
elif dif[3] == -1: path_code += 'd'
elif dif[3] ==  1: path_code += 'D'

# Return path encoding string
return path_code


Finally, for our runner, we simply let him run free choosing randomly at every step between all possible moves (including backtracking).

def run():
""" Returns winning pathing to the flag. """

# Initial parameters
step = 0
locs = [[0,0,0,0]]

# Maximum number of steps to avoid infinite loops
while step < int(1e8):

# Get our current location
loc = locs[-1]

# Get our possible moves from our location
pos = getmoves(loc)

# If, for whatever reason, there are no possible moves, let's start over
if not pos:
loc = [0,0,0,0]
pos = getmoves(loc)

# Choose a random next location from the list of possible new locations
loc = random.choice(pos)

# Add our new location to our list of traversed locations
locs.append(loc)

# If we have arrived at our destination, stop
if loc == [9,9,9,9]:
print('I have become the new Maze Runner!')
print('Check out my sick pathing skills:')

# Return the path encoding string of our result
return(pathing(locs))

# Print progress
if step % 100000 == 0:
print(loc)

# Increment step counter
step += 1


To give you an example of a returned valid path from ‘@’ to ‘F’.

DDABAADdDdBBbBaaDBbBbdDDdaAdABCcBAaBbbCcBAaaAdDbBBDdbaABCdDdBcCBbBdDDdbcCbDcbdDbbACAaAacCcaAaaDaAaAaAaCcAaAaCDdcCDDcCcCDDBbDDACCdbaAaABDccBbaAAbBaCcAbBaAaCbBbBCcCBbaCcCcCcCcCcCcAcbBCdDdCCDdDdDBbdcdDCcAbdDBbBDACcCBbAacaACcCdDdDcadacbaAaABCcbaABCcbBbBCCccDaCcAcCdDaAdCcbBCcbaABDccBbCcBbAaAbBaCCaCcAcCdCCcAacDaCcAdDaAdbBDccAaCbBCcCBbBBadDdDdDdDdDAbBadDBcBbdDBbdDBbdDCCccBbCCccCbBCccBbCbBCccBbdDCbAaAbBbBadDBCccCCccdDdDCCcbAadDdDAbbBBbbccCcCCccBbBbCCaCcAcCcbBcBbaAaAAaacCcCdDbBcBbBbBbCbBcCbBACcBbBbBbBbBbCbBbBbBcAbBbBaBbAaBbadDcCdDdDbBbBdDdddDdDDdCCcABCcbAcCDdDddDCcDbBbBbBddDcCdDdDdDCcCcdDdDCcdDaADbBdabBaCcAADdcCDbBbBbBbBdCcdDdDCcCcdDdDabcCdDcCdDBACcdDcCdDaacBbdDdDDDACCdbaAaABDaCcABbccBbBbAaAaBbAbBbBbBbBbBbBbBbBaacBbCddBbCcDdCABDaAdDaDdAaDdDdDdAaAaDdAaAaDdAaDdDdAdDaAdCcDdDdCcbacCcBcdDdDCbCABCcDdDaDdDdDdDdDdAaDdDdAdCcCcbacBcdDCcdDCcdDCbCCcCccBBdDBbCcbbdDBbDdDdDDAaddCAbdDdDcDbAddDdDDdDaAaBbBbBdCcDdCdDcDdCdDcDdDdDdDdCBACcdDaADdcCcCdDDdabBbBAcCaAcCDbBdDbBdCccCDbBbBbBbBdcCCcCcdDabcDbBbAddDdDDddDdDDaDdBbAdDddDdDDdDddDDaAaBbcCDdcCcCBbBdDdDbAacCcCBdCdDdDcDbDdBbcCBbAaDdAacCDdBdCcDbcCBdDdDbAddDdDdDdDdDdDdDdDDdDaAaBdCdDBBCcDaAaDdAdDdCcDaDdAdbAdDCcdDDbBbBbBdcCabBaCccCAAdDcCdDCccCDdcCaaABbaCccCcDDdDdDcBBCcCcdDdDdDCcdDCcCcdDdDdDdDbbBbBBCcbbCABbCCBBaBCccdDCbAadDBCcbBCcbAbBbbcbBCaCcABBaAbBbbaCcAdbBDBbdDdDcbBcAbBaCbBcCCcCaAaABbaCcCcCcAaAcbBCaAdbBCdDCDBbBaAbBbBCcbdDBbBCcaBbBbBbBbBbBbAaACBbBbBbcbBCcaBbAaAbBaBbAbdDdcdDADdDdbdDBbBadDcCcbBCdDAbdDBbBDdacCdDAbBaCccDBBadDdDAaBcdDCcBbdDBbdDBbCcdDdDCbBbdDAbBbBadDdDAaBcdDCcdDCbBCcCcbdDdDdDBCccdDCcdDBbdDBbdDdDCCcbAbbdDcbBcaACbBCaCcCcAaAaABBbBbBbBbbdCdDdDdDAacDaCcAccBbBbCCBbdbBbaAaAaAaAaAaAaABCCDdcADACdDAaBbAaBbBbBbBbBbAaAacaAaBbdbBDACdDBbBbdDAacCAaBbcCAaAaBbBbcCcCAaAaBbAacadacCCccbBCAaCcADBbdbdDBDdaCDBCBbBbcCcbdDdcADBbACAacaAadaADAadbBbdDdDdDdDBDAaACcaBbBbBbdacbaABDdbBDBbBbdDBbBBadDdDAadDBCcbdDBcdDdDBbdDdDBbBbBbBbBbdDdDCbAbBbbaCcABBbBadDdDBCcCcbdDAaBCccCcBbBbCCcbBCcCcCcCccdDBbBbdDdDdDBbCbAadDAbBbbBBaAbbBBbbcCBbdbaAaABbaAaABCdDCDBbdcCDdDdccbBCCDBbdDBCcCBbcaAbdDBCBbBbcbdDBbdDBCcbBaAbdccbBCcDBBadDAbBbbcCaCcAdbBbBCcCdDCcAaAaCcAacCdDCcAaADdDACAacaAadDdDAaBbBbAaBbBbdacCcCdDdDcDccBbAbBaacBbBbBbCACcBbBbCcBbBbabBdDABbBbCCBBaBCcCccBbCCcCcCcCcbdDBbdDBbBbBbAbbBbccAbBaaABbAbBaBbCcAaBbBbCCdDaCcCcABBaBbAbBadDBbAaBbAadDdDdDAbBaBcdDCbdDAbBbBadDdDAadDBCcCcbAaBCccdDCbBCcbAadDdDBCccdDdDdDBbCCccCCcbAbbdCdDdDdDCccCADdDBbAadbdDdDdDBbdDdDdDBDBbdbdDBaAbBbdDdDdDdDdDdDBDBbBbAaBbdDACcCdDBbBbBbBbdDcCdDcaACcadbBadDCccbBCcDBbaCcCcAaAdCCDBbBCBbcaBbBbACcaAbBbBaBbBbAaAbdDBbBbBaACBbBbBbBbcaBbBbACcaACBbBbBbcCBbBbcbdcADdbdDBadDcCCccCCDdDdccbBbBCdDCDBCcCBbBbBbBbBbcaAaAaACBbcbBCcCBbcCBbBbBbcCBbcCBbcCcbdcdDCDBCcaBbAbBCcbBCcbdccbBCcCADdaADACcCcCcCAaAadDAadDAaAadDAadDcaBbdacDaAdCAacbBbaAaAaABDBbaAcCcCaAaAdbaAaABDBBaBbdDdDAbBbBaAaBCcCcCcbBbdDBcBbCbdDdDBCccCbdDAbBadDAaAadDBbBcdDdDBbBbdDBbdDBbdDdDBbBbdDdDBbCCccdDCCcbdDdDdDAbbcbBbBcAbBbBaadDAacBBbBbbBBAadDbbBbCddCCccCABDaDdAdDdCcDaAdDaDdAaDdAaDdDdDdAaAaDdDdAaDdDdAdDdDdbBbbBAcCDbBbBddDCcdDdDcCdDcCcCDbBdaBbACcdDCccCDddDdDcCaAdDcCDdDdCcCcDbBdDdcCcCdDdDcCDbBbBdCcdDdDDbBbBbBbBddDCcaacBBBbBbbBdDdDdDBbdDCcbcCBCcbbBcCBdDdDBbCcBbbBbbdddDcCACcacCcCBCcCcCcbAaACcCcacCdDddDDBbAadDBbDDCCcAbdDdDdDBaAACcaaCcAbdDdDcCcDdDbDdAaAdDaDdBdDbAddDdDdDDddDdDDaAaDdcCAaAdDddDDdDaAaBdCdDdDdDdDBaCccDDABbBbaAabBdDcBBdDCcdDCcbbCdddDCAacBBbcCbDddddDBbddBbBbBbcCBbBbcCBbDDACcCcCcaAacCACcCcCcaBCcCcCcbddBbcADddABBaAaAAaAadDdDAaAaAabbACcaBBdDbCcBdDBCdAaAaAcCcdDdDdaABCcbDdDdBbBbaABbBbaAaAaADCaDcCcbAaaAAaBDAaBCDaCDABbBbaCaAaAaAaAaAcCDBbCcBbBbdaAaAcdcBcAaCbBaDbcCcCDCDdDdcdBdAaddDBAaCDdDdcCCcCcCccbBbDAbAaBcCadBbDAaAcBbCcDDaDdAddBaAbAaAadddaADdadDABbDDDdDBaDdDdAaAaAaAaDdAaDdDdDdAaDdDdDdDdDdAbBbAaCcDdDddDddDdDddadBbBbDADdBbBbBbDdadBbBbBbDdDABbaAadBbBbDdDADDDddDdDDdDBbCbBaDbBbBbBbcCDdcCBddDAbCaADdcCcBcDdCbAaCDdaADdDCcdaADCDdcCDdaAcdaAcCDABCcbBCcCcDdDdBAaaAAaaAbCcDdCcbBCcDdDdBbDdDdBAADADdAaDDaAdDdcAaCcAaAaAaCCAaADdDdAAaAaAaaDdAAaaacDdcCcCdacCdaaAACdDcCdDcCdDAacCdDdDdDdDcCcCcDcCcCAadaACcDcCcCdDAadCcCcaaAACcaaaAaAaAaAaAaAAADADDdcAaAaAaCDaADAbBcCaAACcaadaCcCcCcCcCcCcCcAdDddbBDCADCcCDdcdacDDCcAbbBBbBcCACcCcCcdDdDabCcbBCcbBBbBcCcCcCaAbBcCcCbBAaAabbBbBbdDBbdDBbdDBCcBAdDaACcaAacCACcdDabBACcCcdDCcCcCcdDaadDdDCcCcAbBbCcBaAbCcCcbBbdDBbBCcbBBAdDdDCcacCbbdDdDBbdDdDdDBbBbdDdDdDBbBCcbdDdDdDBCcCcCcbBCcbBCcbdDBCcbBBAdDdDCcdDaACcacCbCcBACcabCcbdDdDdDdDBbBBAdDdDCcdDCcCcabCcCcBbCcBaCcCcAACcacCbCcBaAAaACcdDdDdDabCcbdDdDdDBCcbBBbbBBACcaaAadaCcCcCcCcCcCcAdcAaCdaAbCcCaAcBbCaAcCaAaAaAcBbCaAaAaAcBDDddaADcCDDAadddDDaAaADdDAAdDabBcCaAbCcCcbdDBBcCAaaCcAaddDdDDCcCcdDdaAdcAaAaAaCdbBAaAAaabBaAaAAAbBaabBDdAabBDdDCAaAaAAaAAaAaAaAaAaAaaAAaAaaacCcCcdAAbdDBaAbdDdDBaabBaADCcdAaDCcCAacCccAaCCcCADCDdcdDdDCcdAAaAaAaAaAaAaAaAaaDdAaaADdAaaccAaAaAaAaCDDCcCcdaAaCcCcCcCcAddDcCcCdbBbBbCaAcCcBDCAaAAaaAAaAAaaacdAabBbCaAaAcBAAbBbdDBaaDcCdacCdDADCADCDdDdcdDCcCDdDdcCcdacdDcAaAaAaCDDAbbBCcbdDdDBCcCcbdDdDBBAdDCcacCaCcdddAaDcCdAaAabCcBDdAabBbCcBbBacCdCAACcbBCcAaCcaadDcDdDdCdDAacDcCdCcaaaAAADADdAAaAaaAAbdDBbBbdDBaAbdDdDdDdDdDdDdDdDdDdDdDdDdDBbdDdDBbdDBaabCaAcCaAaAcBDCcdbCcCcBadDdDdCcCdDdDdDAAbBbBbBAaCcaadDAAbBCcCcCcaacDAadCcaAaAaADdCdDAAbBaAbBCcbBAabBCcAdCcCcCcDAaabBCcCcaAAAaaaacCcCdDcaADAbCcBDCcCAacdAAbBaAbdDdDdDdDdDBaaAAbdDdDdDBbBbdDdDBbdDBbBaAbdDdDdDBaAbdDdDBaaAAaAaAaAaAbdDdDBaaDcCDdDddAabCaAcBDCccAaAaAaAaCCcdbBadaAaaaAaAAACdDAacDcCAbBbBAaAAaaadaaaAaAAADAbBacCAbBDcCdDcAaAaCDDCcCcdaAaADAbBbbBbBBbBaAbCcBadDAbBaddDaAaCcCcCcCcAaCcCcAdDDCcdDAaAAdDabbdDBbdDdDBCcbdDdDBCcbBbdDBBcCaAbbdDdDdDdDdDBBcCcCACcCcaaCcAbBbCcCcbdDdDdDBCcbdDdDBCcCcBadaCcCcADAAabbBbdDdDBBcCACcdDCcacCbCcCcCcBAacCACcCcaaCcCcCcCcCcAAdDCcabCcbBCcCcbdDdDBCcbdDBBaAaCcdaCcAddDcCCADCDdcdAAaaDdDdAaAAaaAAaaAAaAaAaAaaAaDCDdDdDdDdcdaAAAaAaaDdAAaaaADdaAaADCcCDdDdDdcdDdacDaCcCcAdCADCcdAAaAaaAaacDaCcAaCcAaADAbBcCbBbBcCcCbbdDBbdDBbBBcCcCbCcCcbBBACcCcCcaAacCadaADAbBAaAaadDCcCcAbbBBAdDCcacCcCbbdDBbdDdDdDBBbBAdDaAaaCcCcCcCcdaCcADAbBACcCcCcaaCcdDdDCcCcCcddDdDaCcAaAaCcAdDaCcAdcCcCDDCcddcCCccAaCCccCcCcCDDCcCcAaAaCcdDAcCAaAdDCcacCaCcddDaAaAaAaCcCcCcCcAdcCCAAaaccAaCDddAaAAbdDdDBbdDBaAbdDBbBbdDdDdDBbBbBaAbdDBbdDdDdDdDdDdDdDBbBaaadaACAadDcDAacCAacCdCcDdaaAACdDcaaAaaAAaAAaaaAbCcDdbBCcCcbabBdDbcCbBBbbDdDdDCcddDdaCcCcCcCCBbBCdCcCcDcDdCBBbbBBbbBBbBbBbbBbdbBDdCcDBbdCcDdCcDcDdbcCccCCccADDCaAabBCcbBAcCcCcddaAaCCBbBbBCBBbBbbBbdCcbBDBbdCcDdbBDcDdDdbBDdCBbcDdCcCBBbBbBbBbBbBbbcbccADBcCbDdDCcCabBBbbBCcAcCaCcbBBbBbBbBbCcbBCcBbAabBbBCcAaAaCcCcAcCaAcdDCcdDCcddDdDdDDCcCcCaCcCcbBCcBbbBCcCcBbCcBbBbBbCcbBAaCcbBBbBbBbBbCcAcCaBbAcCcdDCcCcCcddaCcCcCCccAaADDddaAaCcCcADBbBBABbBCcbBCcbBDdCcbaCcbbdDdDDCabBAaBbbBCcBbbBAcdDCaAcdDCcdBcCaAbdDDCaBbAcddDBcCBdcAdDaAACdbBbaABDcDAaBbBDdDdDdbAaAadCdDdbaAaAaABbaABBbbBBADcBbBdDbCdabbBDCBbBbBbBbcdDCBbBbBbcdBAaAaBbdDdDbBaAdDBbdDdDbDccCcCDBcCDdcCbAaBcCcCDdDdDdcCDdcCDdDdbdDAbBDDcDDdbBbBbBbAaAaAaBbAaAaAaAaBaBDBbBCdDcCcbBbaABbBbBCcCdDAacCcbdbCcCcAaCcAdCcDbAaBDdbBdCdAaAaAadaBDdcCcCcCbdCdDCcdBBCdDdDdDcCdDdDcbbbaAaAaAaABDccCDBcCbBDdDdDdDdDdDdcCDdcCbACcCcCcaADdDdDdDAaAaAaDcCcDdDDdDddDaAbBDdbBDddCcCcCddadaAcCcCadDAcCcCCcCCcdbBDcabBAadcbdCdDcbaABbBbAabCcCcBdDBCdAcCABbdDbBaAaAdDbBdDbBBCcbbBBBBaCcAbBbdDdDdDbbBBBaCcAbbBcaDDdBbbCcBbBDddACcaDdDDdBbbCcCcCcBBbBbBAaAabbBdDDddDdAaACbCaAcBcCdDcaACcCcaACBbbBBbbBcaACbCaCcAdDcCdDaCcAdDcbbBBCdDdDdDcCcBcCBbbBBbcaACdDdDdDBaAaCcCcCcCcAaAbBbcCcaDdDbBbCcBdDdDbBdAaDdDbBDdbCcBDdBbDddACBbbCdDcCcBBaCcCcCcCcCcAaCcCcAbdDbBdDcaDBbbCcCcCcBbCcBdDBAaAabDdbBdAaDDdBbBbBAabdAaDdAaDdACbCdDaAaAcBbCaCcAdDaAcBcCdDBbdDdDcCdDbCdDaAcbbBBCaCcAcCcCaCcCcAaAcBBbcaAaDDdbBdACBbdDBbBaCcAaCcCcAaCcCcAaCcCcAbdDdDcCBaAaCcAbdDbBBbBbBaAbBaCcAaCcAbdDBaAbdDBaAbdDcCbBBbbbaaAaDcDAaBbBCDACcadDdDdcbAaAadCdAAAaAaaAbBbBdDdDBCaCcAaAdDcbdDdDBBcaDBAabdAaAaAaACbbbBbBAaBBdDBaCcAaCcCcAaAbBbcaDbCcCcCcBbCcBbBBbDddAaDBbDddDdDDdBAaAabBAabbCcCcBDddAaDBbbCcBDdBbDdDdDdbBdDbBbBdDdACbCcBBaAbcCcaACcaDDddDbBbBBAaAabDdbCcBbCcBDddDDdbCcCcBDdBbBAabdAaDBbdDBAabBAabbCcCcBdDbBdDDdbCcCcCcCcCcCcCcBDddDdDBAabDdbCcCcCcCcCcBbCcCcBBAaAaAaAabDdbBBbBbBAaAabBbbBBbbCcCcBBbDdBbBAaAaAabDdDddACcaDdDBbDddDDdBbdDbBdACcaAaAaACdDcCBaCcCcAaCcCcCcCcCcAaCcCcCcCcAaCcCcCcCcAaAbcCdDcaDbCcBBbdDBbDdBAaAaAaAaAabbBDdbCcCcBbCcCcBDdDdDddDdDBAaAabdACbCcbaAdDBCaCcAcbBCdDaCcAdDcCdDcBcCdDcaAaDDdbBdAaACcaAaDBbBAaAaAabBAabdDDddAaACdDdDdDdDdDdDdDcCcaDBAabBbDdbBdDBbDdBbdDdDDddDDdBbDddDdDbBdDdDBbbCcBdAaAaAaACbbBbAadDbBdDaABbaAdDAadDAabBacCcCcCAaAaAdDdDAadDbBaaAAdDbBbBdDAabBbBaABBcCBbbBBbdDdDcCdDbBdDcaAaACdDBaCcCcAaAbcaDDddACcaDbBBbdDbBDdBAabbCcBBbbBBAaAabbCcCcCcBdDDdDddDDdbBdDdDbBBAaAabBAabBbdDdDBAabDdDdbCcCcCcCcCcCcCcBBAaAabdACBaCcCcAbbBcaDdDBAaAabBbBbDdBAabBbbCcCcBBbbCcCcBdAaDDdBAabdAaACcaACdDdDBaAaAaAbbCaCcCcCcAaCcAdDdDcCdDdDaCcAdDdDaAcbBBcaAaDBAabbCcCcBDddDBAabBAabbCcCcCcBDdbCcCcBdDdDdAaDBAabBbdDDdBbbBBbDdbCcCcBbBBAaAabbCcBBbDddDbBDddDdDDdDdDdbBbBdACcaDdAaDbCcCcCcCcBdDDdDddACbbBbdDBCcbacCaAAbBbBaaDdBcCbBcCcCcCBCCDbBdcaAaAaACDbBdcaAcbbAAdDacdaAaADdBAaAAaACcaADdCcDdaaAAaaAADdDdDdCcaAaACcDdDdCcaaCcbDCaDdAcCcCaAcCABCcBbbaaDdAAAaaAaaAAdDaAaAdDdDAaBCcCcbdDaABCcBbCaCcCcAdDdDaAdDcbdDdDbBAadDBCcBBbBbBbbBdDBaAbcCdDBaCcCcCcAbbbaaDcCdAcdDCAAaacdaAaADCcCAAabBAadDbBBbbBBbbBAaAaBCcBBaAaCcAbBbcaAaDbCcBbBBbDdBAaAaAaAaAaAaAaAabbBdDbBdACBbdDcaACdDbCcCcBcaACdDbBdDcaDdDbCcCcCcBdACBbBaCcAaAbBaCcCcAbdDdDbBbbdDAaBbbBacCaDdDdDdAaBbDcbaAbbBCCaBBbbCdACBdDdCcDBBbbbBbcaAaBbBbDcBBbBbbBBBbbBBbBbbbAcCccBAabbBCcbBbBCcCCaDbBdAcCaDbBbBdAcCaAaDbBbBdDbBdBbBbAaDdCcDbBdCdAaBbACBbcCcCBbcaDaAcAcCccbBCCaDdCaAaBbDCcCcCcdBCcbAcBBbBbbDdAcCcCcCcCcCaBBBcCbbbDdAaAcCaDbBbBbBdDdDbBbBbBdDbBdCdDdAaBBbdDbAaAaBdDbDcAccBBCcDBCDdDAaaCcCaADbcCcCbdDBbBbBaAbdDdaAaAaCCcCBDdDdDdDdDdCcbBCcbBbBCBBbbdbBbBCcCcDBbcCBBbBbBbbBBbbdDcCcDdbccADDdBaAaABABbabcCaAaAaABCaADBbCaBdAaAaDCBbBbBbBbBbBbBbcdBdDdDdDdDdDbDdBdDdDdDbACcCcCcaACcCcCcCcCcaDbBdBbACcCcCcCcCcaDbAaACcCcDbCcAaCcbDdDdBBdcdcbbDddDBbDddDdaAaCCccAaCcAaCcCCBDdbcCccCCcCBDdDdCdCcDcDdDdCdCcDBBbbcbccCcCcADDCabBAcCabBCcCcBbCcCcbBCcAaAaAabBAcdDCaAcCaCcAaCcAaAaAcCcCabBBbCcbBCcAcCcdDCcCcddDBcCaAaAcCBdcBbCDAadDbbDCabBAcCabBBbBbBbCcCcCcAcdDCcdBcCbBbDdDCaAcdDCcddaAaAaCcADdDBbdaCCBCcCBbBBbBbBbbcCcbBCcDdDdDdCdCcDdCcbBbBbBbBCcbBCcCcDdCcbBCcbBDdCcbBDBbdbBCcCcDcbccAaCcCCBbcCBDdbccCcCcCcCcCCccCCBDdbBbBDdCdDcbccADdDBcCcCcCcCbDddaADdaAaAaADBaAcCbDCaCcbBbBCcBbbBbBCcAaAaCcbBAcCcddaADdaCCccCCccAaCCccAaAaADdaADDCabBAaAcdBcCBABCcbBbBCcBAaAaaAbDdCcBbDdCcBAabDdbaCDBbCcdDBbdaAcCcCDdcbaAaAcCBCaADdaAcbaAcCbBcCbdDBaAcCcCcCcCBABbabBAaCaADCABbaDbaAADdaBdCcABACcabBbacCAacBbBbBbdcbcCBdcAbBaBbBadDAbAbBdcCDaAAcCDBbAbBCcbBbBaBcCbdDdCdBdDaaCcAAbBbDdbBDdBaaAaCDBAabBAabaABbaAaABbdDdcAaAAdDADcCdaAaBCdDcCcCdDcCcCdDcCdDdDdDcCcbbDccCcCCdDdBADcCcBdDbBbBdDdDbCdabBbDdbBDccCDBcCDdcCDdcCcCcCDdcCcCbAbBDdbBDdbBadadDaCDCaAaADCcdaAcdcBaAcDDddBaDdAaDdAaAaAbDdBaDdAaDdDdAaAaDdAaDdAbAaAaDDBDdDdCcDdbaAddDDBAAaADdDdadDdDaAdDdDaAaDdbBAADdaADADdaADdaAadDADdDdDdaAadDAadDdaAaaDdAaCcAdDaDdCcCcCcCcAaAdDabBCcDdbdDddAadDCcCbAAabBbBdDaAbBbBACcDAbBaACcaACcDAaAaAaAadbBDAadbBDAadbBCcDAadbBCcDDcDbAaBbAaAaBbAaAaAaBbAaBDdaBbBbCcBDaABCdDdDAacCdDAadDdDdDcbdDdbBbBDdbBDBbdbAbAaBdDdDaAaBbAaCcBDaAdbCcADdDddDbBbAaBaBDaAaAaABCdDcbdDdbBDdbCcAdCcDdDdDbAaAaBbAaBaAdDbAaAaBaBbAdDdDdDbAaAaBdCcDaAdDDdDdDddCddCcCcDdCcbBaAbBCcaAbBDdaBcCcCbBDdDdbBcCDdbAaBcCcCbBDdcCbACcDdbBCcbBCcCcbBDDdDdAaDcCBbdDcDdCdDdAaDdAaDdAaAaDBbcCddDAaDcCddDDddbBCcaBcCcCcCcCcCcCcCcCcCDdcCDdcCcCbAbBadDBcCDdcCbAadadcCDaCcAbBbBdcbBCcbBbAaBCDaAAaAcCCCccaaAaAAcCaAcCcCcCCcDBbBbBDdcCcCbAaADDBDdDdDAcCAaAaAacCcDAadDBbBbAaAaBbAaBbAadDBbBbBbAaBbBbAadDAaAaBbBbdDBbAadCcDBbdDBbAaBbBbAaBbBbBbdCAacDAadCaAadbcDDdaCcAdCcCBbcCBbdAaDBDAadbddCcDdCcDAaDBDAaAaAAaaAAaaAaAcCcDAaBbdCAacDAaBbdDdDBbAaAaBbBbdDBbAaBbAaAaBbAaBbAaAaAaAaAadDBbAadDdDdCAacCAacCcDBbAaBbBbdDAadDdDdDBbBbBbAadCAacCcDAadDdDAadDBbBbBbdCcCAaAacCAaAacCcCAaAaadDdbBbBDAadDAAacCAacCcDBbdCaAadDdbBDdbBDAAacDBbdCcDAaAadDAaBbdCaAcDdCadDdbBDAAaaAcCAacDBbBbBbAaBbAadDBbAadDdDBbdCadDdDAcDBbBbdCcCcDdDBbdCAaAacDAadCAaadDdDdDdDAAaAaaAcCcCcCcCAaadDdDdbcDdDDdaBbBbCcAbBDdbBbBbBbBDdbBaBbCcBDaABCdDAacCdDcCdDdDcCdDdDdDcCdDAadDAadDcCAadDcbdbBDBCAacbdDBCdDdDAadDdDAaAadDAaAaAadDAaAacbBbaAdDBCdDcCcCdDAadDcCcCdDdDcCcbaAdDdbCcCcCcCcBbCcCcBbADdbAaBdDdDDdbBaCcBbADdaBDdDdDBbdbCcCcBDBbdDBCcCAadDdDAaAacbBbdbAbBbAaBdCBbcCcCdAaAaAaAaDcCBbBDAadbdDcDbBbAaBaADdbBDdaBDBCdDcCcbaAaAaABbdDBbaAaABCdDdDdDAaAadDcCAadDAadDdDcCdDAadDdDdDcCcbaABCcCdDAacbaAaABbaAaAaABCdDdDcbBbaAaABbBbdbCcCcBbAbAaAaAaAaBbBDdaCcBbBbAbBDdDdaCcCcADddCcCddbBCcDAadDDBDdDdDAaAadDdDAcDBbdCcCadbddDDdDBDAAacDBbAadDBbdCcCadDAaAadbddDAaDcCBDAadbBbBDdDAaAcDBbAaAaBbAaAaBbdDBbdCAaAacDdCAaadbBDdDdDdDAcCAacDdCAaadbcDDdaADdaCcAaADdaAdCcDaCcADddCdAaDcDaCcBbAbBaCcAaADddCcDbAaBaCcBbBDaAaAdbCcADdDdaBDdDaAaABCcCAaAaAacCcbaAaABCcCcbdDdDBCcCcbdDaABbdDaAdDdDBCAadDAadDcCAacCAaAadDdDdDAadDAaAacbBbBCcCcCAacbBbaAaABbaAaAdDdbCcBDdDdbBbBDdDdDBCAaAaAaAaAacbdbAbBbBdCddbBCcDAaAadCcDDBDAAaAaAaadDAcDBbAaBbdCadbdAadCcaBbdCCcCcdDCcCBbcdBBCdDdDcCcCcbBbBCcbADcCcBbCcCdDdaBCdDdDcbADdaaaAaAAADcCdaaABCdDdDcbbBaAbBaaAaCDBbaABbBAabdDBbBAabaAdcCDaABAaAabaAaAaAdDdcAaCDaAdcCcAAbBdDAadDADdDcCcCcCcCcCdadDbbBDdDCcCBbcCccCcCCccadDACcadDAcCDBcCbdCCccadcbdCdDdAAacdDCAAaAaaAbBAaBbbBBCdDaCcCcCcAcbBBBbdDdDcaDdAaAaDBAabDdBAaAaAabdDDdDdbBBbBAaAaAabDddACdDdDbBbbdDdDaaBBCaAaAaAaACDbBbBdcaAcbbAcCAdDBBBbdDBaCcCcCcCcAbBaCcCcAaCcAaCcAaAbbbbBBBbBcCdDBaAbdDbCaAaAcCcBcaDdDbBBAaAabDdBbbBBbBbbBbBDdbBBAaAaAabbCcCcBdDDdbCcCcCcBbCcBDddACdDbCcCcCaAcBdDBaAaCcAaAaCcCcAbBbBaCcAbBbdDBaAaAbBaCcAaAbbbAaAaAabBaAbBBBcCdDbBbCcbacCcdDdBbDdDCAAaacCcCAdDdDBBcaAaACcaDBbdDdDbBDdDdDdBbdACBbcCcCBaCcAaCcAaCcAaCcAaCcAbbbaAaaAaAAbBacCABCaCcCcCcAaCcCcAcbaaBbBbAcCaBbAaBBCcbBdBcAaCaAaAbBbBbBaACccAaCbDCaAcbcCBdDCCDbBdccCCcaAaACDdDbBdDbBbBdcaACDdDbBdcCDbBdcaAaACcaAaACDbBbBdDdDdDdccDdCcCCDdDdDbBdcaAcDddDbBdBCcbDbcCBbcCcCbBBdBbDbbAABCcBBbcaAaAaACcaDbBdACdDdDbCaAcbBBdDcCcCcaDdDdDbBDdbCcCcCcBdAaACBaAaAaCcAaAbdDBaCcAaCcCcAaCcCcCcCcCcCcAbcCdDBbdDBaCcCcAbBbcaDBAaAaAabbBdDBbBAabDdDdbBBAabBbbBbBdAaDDdBbdAaDDdDdDddACdDbbaAdDaaBcCbBcCcCbDdBbBcCBCcdDDdCaAaAcDddDdDCaACcCDbBbBbBdccdDCCDbBdDdDdcaAaAcdDCCccDddDbbDcCdAcCaDdDcbAaaAaAbbAaBBdDbbBBBCdDdBcCcCbDcDBbdbaABDdbAabBAaAaBbbBbBAabBaAaAbbBCcCCaCcDbBdDdAcCaCcDbBdCdDcCaAdACcCBdDdDBBbBbbdDBBbbBBbBbBbbbBBbBBbbBbdDdCcCcDBbdDdCcCcDdDBBbBbbBbdCcCcDdDbBbBbcCBBBbBbbBbbBbcaACBdCcCcCcCcDbcaBBbdDBbbBdDBbdDBbdDbBdDBbBbdDdDBbBbdDBbbDaAcCaAaBCcbAaBbAcAaBBBcCcCbbBBcCcCcCbBcCbbBBcCbbBBbbbAcCaAccbAaaCcCcABBAaaAbCCccbBbAdDDdbBDdCcaACcdDCcdAdDaBbAdDaDbAabBbaCDDdaAaAaAaAaADdDdDddcaACCBbCcdDCcdDbAaBdDCcdDBbCccCCcBAabbBdDdDCcbBbBcDdcaAADdBBDdaaDBbaAaAaAaCBbDdBbDDBbACcaDDDddDDDbBdddddDDdAaACcaBbBbcCACcCcCcaBbBCcCcbDDDdddACcaAaBCcbACcCcadDACcCcaDddDAaDDDDdddDBbCcddcCDDCAbBbdDcDbDdDdDdAaDdcCAaBbAaDdDdBdDdCBBCcCcDaDdDdAdDaAaDdAdCcbbcDbcCAddDdDdDDddDdDdDDddDDdDaDdcCcCDdAddDDdDaDdcCDdAaBdDdDbDdcCAacCBdCBaAaCcCccBBdDdDdDbcCbCAAcCaacCABDdDdDdCcDdCcbaCccCcBcdDdDCBbcCBBbbbCCcABDdbacddddDDddBbcCBbDDcCBCcCcCcCcCcCcCcCcCcbDdAadDBbAaACcaDDBbDdBcCcdDCbBcdDdDdDdDCBbcdDCbddcCACcaBbBbddcAaCBbBbBbBbDdcCBbDdBbcADdDdaAdDDdDddAADdaaABCcBAaaAaAbCCccBAaBDAaBbdDdDBbdCcbdDdDBbBCcDdbdDdDBbdDbCcCCcCaDdAaDdDdDbBbBdDbBbBbBbBbBdDbBbBdBBbBBbbbDbBdBBbbBBbBbBBcCcCbBbBcCcCbbBBcCcCcCbbbCaBCcCcCcbDCcdAdBdDdDdDBbbACcaACBdCcDdDBBbbbcCBbcaBbACcaBdDdDbAaDdACBBBbbBbdCcCcCcDbcCcCcCBdCcCcCcCcCcCcDBBbbdDbBdCcCcCcCcCcDbBbcaDcDdDbBbBbBbBdAccBdDbBbCCaAaAaBbAccbBbBbACcCcaADDdddDCcDDdddBbAaAABABbBDdBdCcCcDdDdDbAADdaADdDdDdaADdDdDdDdDdDdaAaAaAaaDdCcBdCcCcCcDdCcCcCcDdCcCcCcCcCcCcCcCcDbDdbBDdbdCcDBCCDAaACcCccCDdAaCcDdaAadcCCBAabCdDdDdAaDdDcCCDdaADdaADdcCaADdaAaAaAcccDddabBbBBbcCADdaBbbBcCcCBbAaBbBbAaAaAabBbBcCADDBaAbBaAaAbBaAbADdCcCcAaaAAdDaCcaACcAAadDacCaADdAddAaAaDDAbBbBbBDCBbcCcCcCcdDdbBDdaaadCcdDdDdaAacCbBbBBbcCbBcCBbbBAacCBbbBAaBbBbcCADdaBbBbBbbBBbBbbBcCAabBADDADdaBbdCBAabbAADCcdaAAaaaBCccdacCBbBbADcCDddacCbBbBADccDdDdbBAaDdbaCcbaABbBDdbadDdBbDABCcABBbBdCcDbAaBdCcDdCcCcDbDdbdCbBcDBDdAaAabBBbAADdaaCcAaAaDdBdCcCcCcDdDdCcDdCcDdDdCcCcDbAADdDdaAaaAaAaAaDdAabaDaDdDdAdbBAdCcDaDaDdDdAdAdAbBaDdAaAaCbBcCbBbBbBcCcCbBbBbBbBcCcDBCcbaDaDdDdDdDdDdAdCcbBAaCcCcbaABbadBBbCcCcCcbDAaAaaDDDbaABADdAaabadDABbaABCDdDdcAaAAaaCcbBCcADbAaBDBbAaAaAaDddDdbAaBDdbAaAaBbAaAaAaAaAaBbBbAaBdDbAaAaBDDaAaAdDdAaddaBDBbBBbbBBbDCabaABdDbBAaAcCcdDCadDdDdDdDAcCaAabBdDbBAcdBbbBbdDBBbbdbCadDdDdDdDADdcCcbadDdDABdddAdBBbbBCcCcBbbDaAaAdDABAdCcCbBbBcCcDBAaAADdaabdDBBbCcBbDdDdCCDAAacCCcDdDdAacCCccCDdDdaddaADCBAabCdDdABbbBBbAabBcCaAbBACcacCACcDdCcDBbBbBbdDBbBbBbdAaCcDdAaaaDcBAaAaAaAabCcCdAaAcCaDcbAADCcdaADCcdaAacCAACcaACcCcaDCcCcCcCcCcdDdAdDaAaDCcdaAaaAaBcCbAccCCADCcCcCcCcCcCcdDCcCcCcdAaaccCcCCaBbAccbBbBCCAAaDdaAACcaAaAdDCcaaccCCaBcDAcCaAcCcCDdAaaBbACccCAAaBCcCcbaDdcCcCAddDdBCcCBbcCBbBbBbcbbBcaACAaBbcCcaAaAaACcaAaACBbBCBbBbBbBbBbBbBbcCcCBbBbBbcCcbAacCBaAaAaAbcCcaACcCcaAaACAacCbBbBBaACBbBbBbBbcbDdAaAaDdDdcCAaAaDdAacCAabbBbcCAacCaAaABbaAcCBbBBDDacCAaDdAADdDdaADCBCCcCcdbBbBDcCdDCcdbBDCcCccbBbBbBbcdaaadCCdAbBADBbdacCBbBbACcAaCcDBbdAaDBbdDdaACcCcaBbbBbBaDCaADdDdDdaAcCDdaAaAaAaADdaAcdAcCcCaAACcDdCcCcDBbBbdCcAaDdAaCcAaCcDdabBADBbdaACcCcDBbBbBbBbdAaAaDdDdaaAACcCcAaCcabBcCADdCcAaAaCcDdaaAaABbaDcCcbBCCaADdccCCDdccCCaADdDdaADdDdcccCBbBbbBcDBbBbdcCdDdaBbADcCDdDAcCDdDdadDBaAaAaAbdCBbcDdDdcCccAaAAaAaaAaDdAaDdbBCcBbDdCcDdCcCCDBaAaAaAbACcDdcCCcAaABCcbBbAaaCcCcDdaBbBaAbBbBbBaAaAbAAddAaAaAaDdBbAaDDddBaAaAbAaBaAbDdbbAaBBAaAacaACcaACcCcCcaAaAaAaACcaAaAaAaACDdDDacCaBaAbBaAaAbdDdDdCBAaAabbBcDADdcCaADdABCcCcbaDdDdcCAddbBBaACBbBbBbBbBbcbAaAaAaBaACcCcaAaAbcaACBbbbAaAabBbBAaAabBbBBbcCbBcCaAAaBbDdBbcCDdBBDDBCcCcbdDdDAaddbBcCDDaDdaBaAaAbdDdCcdaBbADcCdDdDCBbCCcCcccCcdDCbAAACcaAaAdDCcdDaDCcdDdACcaDdaccbBCcbBbBCCaAAAdDCcdDaDCcdDdACcdDaAdDaaADCcdaAaAACcCcCcdDCcaAdDCcaDCcdDCcdACcaaaBcCcccCcAabdAaCcDaDdDaAaDdDdAdDdDaAdCcDdDaAdDaDdDdDdDdDdDdDdAdbBbBCcbBbBCcCcCcAaDdABbdDBBbCcDdDdBbbBCCdDdacCBbAaBbADDACcAAbBbBDCcCcCcdDCcdbBDdaddcaAaACbBDDAbBDdadDddBbcCAabBDDBCcbADdbBadDddcCbbaAcCaADdDdbBbBcCAaDdAabBcCBbaAcCbBcCDdDdBBAacCBCBbcCcCcaAbDDaDdaAadDAcCDdCcaAAacCcCAaaACcDdDdAdDacCAaABbBCcCcCcCcbaDdAaCccCaBbdcCdacCADCCcBbbAaBCcBAabbAAaaBbBbBbBCdAbBBbaAAabBcCbBbBACcCcAaAaAaCcaBbbBbBACcCcDdDdabBACcaaAaAaABbBbcCAAaCcCcabBaDccdDCccCCbAaBCdAbBAaAAaaACcCcaBbBbbBBbAAaCcaaAbBcCBbACcCcDBbBbBbdDBbdAaCcDBbBbdAaDdDdDBbBbdaAaBbcCAAaDdAaAaDBbdAaaACcaaDdAbBBbAaADBbBbdCcaaAbBaDdDCaADdaAaAcdDdAADBbdDdAaAaDdCcAaCcaAAaCcCcCcAaacCaDCDdaAaADdDdcdDcBAabBbccCDBbADdCcCcCcCccCadCcCBbCdDcCCDdcCaAcccCbAaBbAAAdDdDCcCcdDaDdDCcCcCcCcdDdDCcCcdAdDCcaDdAaAdDdDaaccbBbBCcbBCCAAaaaAccbBCcbBCCAaaBcdDCbAADdAaaccCCcCaBbAcCccCcbBbBbBbBCCccCCcCccCCaBbBCcCdDcCdAcCBbACcCcDdCcDBbdCcDdCcDBbBbBbBbdCcaBbbBbBaDCcdABbbBcCBbAAaDdAaCcaaAaAaABbaAaDCcCDdccBbbAAACcCcaACcCcaacCAAdDCcaDCcCcdDdaAACcCcdDCcdDCcdDaAaaAACcdDaDdAdDCcaaccbBCCADdDdaaAccbBCcbBCCAaAACcCcCcdDdDCcdDaAaDCcdAdDdDdDaDdAdDaaADCcCcCcdACcaAdDCcCcaDCcdaaBBAaAaAaAaAaAaAabcDAaBbBbBbBaAaAbAcCAADdaBbacCaBaAaAbADdAddDDaaBaAaAbBbdccBbAAaADdDdDdDdDdDdaAaaDdAAaaAADdaabBbabBAaDdCcCcbadBBbBbBbCcBbBbbBBbBbbDdDdBbBbDdDdDaBbDdAABDaAdDaAaDdAdAaAdAbBaDBBdCcCcDbAaAaAADdDdDdaAaADdDdDdDdDdaAaaDdBdCcDdDbCCDBaAbdcCDdDBaAbdCCCaADdDdaAccCdABbBbcCBbBbBbcCcCBbbBaDCDdaADdDdcdDCDdaAaAaAaADdcdAbBBbcCcCbBBbbBbBaDcBbBbCdDdDcCCcdAAAaAaaADdaAabBACcDBbdAaAaaADBbBbdCcAaacCAaBbBbAaaAaDdAbBcCBbAAaDBbdAaAaDBbBbBbBbdDdCcCcCcacCcCbBaDdAbBBbaDcBAabCdAcCcCaDcBAabCdAADBbdDBbBbdaACcacCcCACcaBbACcacCcCbBBbADdaAacCbBbBBbAaaDcBAabBbccCCBbccCCcccAaCcAAaaDdbdAAabBbBbBaCbBcDdDaDdDdbBDdCcAaABAAaAaaCcbBAaBdDdCcCcCcCcDdDbBbAADdaaCcAaBdCcCcDbAAaaCCdDDdDdccAAaaAababaaAABbadDAaAaAaaDDdaAbADdAaAaabDdDdDdbBDdDdbBaabBbBACcCDdCcCcDDddCdDcCcCbAaBbBcCcDDdbcCBaAdDaBbAaBbAdDdCbACdaADcCdDcCdDcCdaAaAaADdDcCcaBbAaBBDDdDddAdDdDdDdDdCcCcDdCdbBbBDdbBbaAaAaABDdbaAaABDcBBBDddDDdaACcdcCDbbBBbbbDaAdCdbaAaAaAaAaABDaAcBAaAabDabbBCcbBdDBbdDdDdDcDbBaBDdDdbAdCBDDDdAaDcCcCbCAddcCcCcCcCcCDbcaACBbcCcCcCBDabBcBddDAaDbacCcCdDcCbBbBdDABcCcCbacCcCbBcCACbBAaAdbBdDbBDaAdbBdcCcCcCcCcCcCDbcCcCBDdDddDdcCDdDDdbcCcCcaAaACcCcCBbcCBDacBddDAadCBbcCcCCcCccdAdBbBbCcDabbBBbbAaBbBdDCcBaAaAbcCccabBACCCcdDBDCCbBCcbBbBCaDDdDddDddBBdBaAbBbBbDdBbDdDdBaCcCcCcCcCcAaAaAaCcAbDbbDbBDdDdACdCcbBdDDDCcddbBDBBBaADCcdaABbaABBbddDDBbbBBbbBbDCBbcdACcCcabddDAAaaDBAaBBCcCcCcCcbBCcbdaAaAaAaCcAaAaADdaAaCDdDdaCcADdDdBbBbDdBbBbBbadDCBbcdDCcAcADBbBCcbbcCbbBBDdaAaAaABBCcCcCcbddCcDaCBbBbDdDdcADddCcDdCcCcDaCBbabDdDdDdBADdBbcCaAadDdDbBdDAadDbDdBCBbBDdDdDdDdbCDbBbBdDbBbBDBbBbddccAcAaAdCcDdCcDaADdaCaAabDdDdBCCcBDdDdDdbCDbBbBDdbBdccCCccCcAcCBbadDdDCcdDADdcCcCDdDdcCBbabDdDdBADdDdBbadDdDbBbBbDdDdDdBABbaCcdDCCcCcBDdbcAcCBbBbcCBbaAcAdDDdDBCcCcbbcccCcCcCcdDdDCCCaAbdAaAaCBbcdDCBbBbcAAaaCcAAaAaadDAadDDBcCaADCCcCcCcCcBbcdbdCBbcAAaAaAaadDAAaaAaAaAAaAaaAAaaCBbBbBbBbBbBbcCBbcAAaaDBDdaAACBbBbBbBbcCBbcCBbBbcabbbBbBaACCccaDdDBcCccCcCCccCCbdDdDBccCCbdAaDBbBbBbdABdAAaaDdAAaAaaCcdDAAaAaaDdCBbcDdAAaaDBcccdDCaAaAbBaAcCCcbBaAaACdDdDdDcbBbBbBbBbBbBbBaAbBcdDCbBbBbBaAbBCCACBbBbBbcCcCcaBdaAdCcCcCcCcDdDDddCcCcDDbDCcdcCaABddCcCcCcDdDaADdaCaCCDbBdcCDDdbBDddccdDdDCcdDCBDdDdDdbCDdcBbCccCCcCcCcCcCcCcBDdbCcCccbBABbcAdDDddCcCcCcDdCcCcDdCcCcCcDaADBCcbdDbccCccCcCbBbBbBCdDcbBCCACBbcCBbcCcCcCcabbaDdacCAAbcCdddDdDaADDDCDBAaBbBbbBBbbBBbbdcdDCcdAadCcCcbBbBdaCcCdDdDdDcADbBbBDcaDddDDdbBDDdDdDdDdddcbBCcbBbBCBbcbBCBBdDbbabbBbDDdcAaCDADcaDdDdDdACcCdaCcCcddDcCcCDCcADcCcaACcaAaDdAaDdAaDdACcCcaAaDdDdAaDdACdDdaddDDdcAaCdBBABbabbBbDcCcCdCcDcAaAaAaAaAaAaAaCcAaAaAaAaAaCcCcCcAaAaCcAaCcCdBbBbCcDcAaCcCdCcCcDcAaCdDDddCcCcBbDdCcCcdDDDAaBcCbBbdcAaCddDDdCcDDADdadddDBbBbBBbBAaAcbBbBbBCDDDdDddDDdDdDdDddDddDACBBbaDBccCCbdDdaBdDdDbBbADdDdDdDdaBdDbbbBbCdCCABAaAabaABAabaAaccAaDcCdCCcBbcDdAaAaAaCCAacBbCABbadDbBcBbCcBbCdDbBcBbCcCbBABAaAaAabaccCBbCcCdDABbacBbBbCbBdDbBcCABAaAaAabadDABbadDbBAaccDdCBbCdDcBbCdDccDbBDdDddDDddCcCBbCcCbBcBbBbCccDbBcBbCdAaDdCcCBbCcCbBccAaCcDcBbCcBBAAaDBbBbdaADdaCDdCcCcCcDdccCcCADdDdABBDdaAbbaabBCDdccCcCbBcCADBbBccCCbdDdDBbBbBccCCbdDBcCbdAbBaACCDdDdCaBdDbBdDbAaAcdadaBbdcCDADcCADCaAcDddaADBbBbCaBbBbAcDdCcBbdadDAadDcCdaADdDdaADcCADdDDdCaBbAcDdcCCcDdDdBbDdccbACcCcCcCcCcadddDaCaAaAdDdDdDdDcAaADCcddDaCdDaAcADbBdaCcAaADdaCcAdDaCcAaCdDcCaAdDdDcAdDaCaAdDaAcAdDdDaCcAdDaCaAaAdDdDdDcCaAaAdDaAaAcCaAdDdDdDcCdDdDcAdDdDDDDddCcDBaACcCCCcBbdDCaAaBbBbBddDDddDDbAaAcBbDdDdBbdDDdCaBbAaBbAcccBbaACCdaAaADBbDdcCCaAcCccCccBBDdaAaABdDBCcbbaAACcCcCBbcacCaAaABbAaAaaAACcCcCBbcaaADCcdcCcdDcaAcCcCCdDdDdDdDdDCccCdDcbBaACcaAbBbBCccCbBbBcdDdDCcdDCaAbBCccdDdDCbBaACCbBbBDdACcCBbcCcCcaBbccbBbBaACCcdDCDdbbCCBbCcBbDdDdcCccaaBdDdDdDbcCAaADdAbDCDDDAaaaCccCCcCcAABbAbBaAbBaaacDDBbBbddBcBAaBbcDdCAacCAaBbBbbBAacDdDdDdDdCcDdDdCbCcBBbAabCcCcCbBcBbBBbcCcCcCBbBbBCdDcbcDdCAabCbDdDdDdDdCcCcCAABccCAaBDdbAaCbAbBbBadddcCDdcdACcacCDdDCbBDdDDDaaCcAAaAAaaacCcDDCccCBbcCCABbBbBbBbacbBBbBbcCbBCccCbBcCCcdDbBCAaccCddCAAaAaaAABbBbdbBDAaaAaAAbBaBbaAAaAbBaaAdbCDDddDbadDcCdDdDdDABdAaDbadDdDdDCcAaccCaAcdaAaADdaADdaADBbdDBbCcBbdaADCCdDcDdCAadDCcCaAaABbcCaABbcCBbaABbBbBbaAaABbcdDdDAaABbaCBbBbccaADdCABDdDcCCcdDaAdbBbBbBDcCaAaAcCaAcCaAcCCcaAaAcCCbBccCddCBaAAAaaaAbccBDAaaAdDddaacbAaBbBCcbAaBBBbbBbBBbbCcBbbBbBBBCcbBbbBBbbbBCACbBbCcCcBbCdabBbcDcAaAdDaAdDaCdDdCBbcDcAaCcCcAdDaAdDdDdDdDaAaAdDdDaCcAdDdDdDdDaAdDdDdDaCcCcAdDaAaAdDaAdDdDdDdDaCdCBbBbBADcCdDcBcaAADbaAcCaAccbBCcaABbbBCCcCBdBBbBbbaacBbCAABAcCccCCabdcCDBbaCBaADccBbbBbBBbBbCCAacCcCcCcaACAABAaBbCcCcAcAaCaAcCcAaCaBcaBDcCdbBbACcaBDdbAdcCcCDaAaBbBDdbAdcCDCDabBAdDabBbBbBAabBbCcBAaAdbBDaAdBBaAaaAaADdDdBBbBbbDdAaBbDdAaAaAaaAaAaADdaAAaAaAbCcbDabCcBAabCcBbBAaAdDabBbCcCcCcBAaAdcaAaAaBbBDcCdbBbBbBbBDdbAdDaBDdbAdcCDCDaAaAdDabBAabBAabCcBbBbCcCcBbBbBbBbCcCcCcCcBbBbCcBAdcdcCDaBbBbBDcCdbAaAdcCcCcCDdcCDCcaBbACcaACDabCcBAdBBaaABbBbDdDdBBaCDaAabdDBAabBAaAabdDdcCDdcCcCcCDdcCDdDdcCcCcCcCcCcCcCDBAabBbBAdDdDdDdcADdDDcCddDDcCddaCDdDdDabBbdcCcCcCDdDBbdDdDBAabBbdcCcCDdcCDBbdDBAdcAaCDaAaAaAaAaAaAabBAdDdDdDabBAdcAaCcAbBaAaCcAaADDCcCcaAbBCcaDdDdACcddDdDDaDdACcaDdAcDbAaBbcCbBcCbBAaBdDdAaCcDdDdAaCbBCccAaDbbBBdDbBbBdAaAaDbBbAaAaBdDdCbBbBCcCccDdAaDdAaAaCcAaDbBbBbbBcCbBBbbBAacCBdDdCbBcCCccAaCbBaACcbBaDdAaDdDdDdAcAaCbBcCdDdDbBcDdAaCCcaDdDdDdAdDbBcAaDdAaDdCaDdACcaACcCcCcCcaDdDdAdDcDbAaAaAabBAaAacCBbbBBdAaCdDaAaACcCcbBCcCcbBddbBaCcCDaAabdcCcCcCcCcCcCcCcCcCcCcCcCcCDBAdDdcAbBDDCcddDdaCDdcAaCDdDdcCcADdDdaAbcaAaACcCbAaBBaCcADDcDdCaDdDdAaDdAcDdCcAaCCcdDCccAaCcAaDdCCcddaAaAbBbbaADdAaBcacCcCDCcdcCDCcbBdDDcCcCcCdDddACcCBDDbBbBbBbBbBaACcdDaDdAaAcDbcCAaAacCAacCcCBbBdAaCaAcDbBdCcAaCcDdAaAaDbAaBdCcAaDdAaAaDdDbcCbBBdAaDbBbAaBbcCAacCbBAabBBdCCcddaADDCccAaDbcCcCAacCBbbBBbcCBbcCBbbBBbBdAaDbcCbBAaAaAaAaAaBdDbAabBcCbBcCAaBbbBBdCaDdDdACcddDDCcaAddaCcCcCcADDbBcDbAabBbBcCcCBdCCccDdCbBaAbBcAaCaDdDdAcCdDcDdDdAaCdDbBaAcCcCCcbBbBdDbBdDbBdDddaCcCDaAabBbBbBAdDdDdDabdcCDBbdcCcCDdcCDdcCcCcCDdDBAdDabBAaAdcCDaAaAdDabBbdDBAabBAdcCcCcAaCDdcCDabdDBAdDdDabdcCDBbBAdDdcAbbAaDdAaDdDdAbbcdDdcCDdcCcCDaBDdDcCcCcCcCdbACbAaBcaBDdbBDcCdDcCdDdDdDdbBbBDcCdDdbAdDdcCDCDdDaAaAaAdBBbBaaADdaAaAAbAdcCDabBBaAaaABBDDbBbBbBaDdDdDdDdAdDaDdAdDcAaAaDbbBbBbBbBBbbBcCcCAaAaBdAaDbbBBbbBcCAacCbBBbAabBAacCAaBdAaAaDbbBAaBbbBBdDbBdDdCCcddaAbbAaAaAbCaAcBaDdAbBaBBDdDDCcdDaAbBCcdDaAbBaDdAbBbBbBdDddbBaAbcaDdAAaAaAaaAAaAaAaAaacCcCDbBDcCdCcCcDcCcCcCdCcbBDcCcCcCdDcCdbBDcCcCddDCcbBdcCDdAaAAaCcCcAaCcAaCcCBaCcAbBDdDdaCDdDdDdcAbcAaacCcCDdDdDdcCAacCcCcCDDcCdbBdDCcbBbBDcCcCddAAaaDdACbDdAbbcCbAaBBAddDAacCcCAaCcCccCdBcCBBaAaAaAaAdDADdAAaaAAaaAaAAaAaAaAaaaADdaAaCDdDdcdDaACcaAddaADDCDdDdDdDdDdcCDdcaAaACDdDdcbBaAaAbBddaADDCcCDdDdDdcAadDddDDaAbBCcddDdDDAaCcbbBBCDdDdcbBbbAdDdDacCcCAaBBaAaAddaADdDdaADDbbcCAdDabbBDAaCcDaCaAaDDdDdacCADAcCcCcCaAaAcCcCcCaAadddcCDDDAcCaddAcAdAadDcCcCDdCcAaCcdbAaAaBDAaDddDAaDabcCBBbbbCcBbBBBaBBbBbbDdBbAaBcaAAaCcacCDCcdAaDDcCcCcCcCcCdCcbBDcCcCdDcCdbBDdCcbBDdbBDdbBbBCcdcCcCAacCcCDdAacCcCAacCDbBbBbBDdCcbBdAAaCbaAaAAaBcAaAaCbaABBbBDdbcAaCBbBaCcADdDDcCbBcCCcdDddbcCbAaDdaABcCcCcAaaAaDdAAaacCACcCbAbBaDdDdaAAbBbCcAdAaAaDaAdCcdbBbCcCcCcdDBbAadDBDdDCcCccCdBcCAdDdDdDacCAdDaBBbBAaaACcADdabBaAAACdDdDdDcAaaAAaCdDdDdDdDdDcaDdAAaaAaAaACcAaCdDcCdDdDdDdDdDcAaAaaaAaaAbbbbAaAaAaBDCccCdbBBBBaAbbAaAdDabDAaAadBCcBbcCbbBDCcdbdDBBAaCcbDDdAaDaBaBbaABbBBbbDdDdDdBbBbBbBbaABbDdaABcAaaDCcCcDcCdDdDdCcdcCAAaCBbcAaaDDcCcCdbBbBbBCcdACbaAAaDdBcacCAAaAaCcCbBcCbAbbcaACDdcaAaACBCcAdAaAaDaCcbDaAabCcCcCcCcBAdcdDaBDdbBDdbBDcCcCdDdDdDdbBDdbACDaAdDdDdcdDaAaACcCBCaDDdaadDdcCDAcCAdDaBbBbaABbBbcCAddBBBbacCcCAAcCDdcCDdcCcCdDcCaBbAcCcCcCDdcCcCdDaaAbbcCdDcCcCBbBBBbAaaAaABbadDdDdDAAcCcCdDdDDBbBbdDddDDdDBbdDdcCDBDdDdbdaBbADdaAcCabBbbcCcCBbcCDAaDddcCBBacCdDdDAaAbBbbaADdDdcCBBAcCdDDBDdDdbBDdbBDdDdDdDdDdDdbBDdbdcCDBDdDdbddDaacCcCcCABbBdDbaAbbddDAaAaDDdcCaAddcCcCcCBdaAaADbBdDbBdaAaAaADdDBbbcCDDDDaAacCcCAdAaDDAcCadaAaAaBbAdDDAcCadDAcCaAadDAcCcCadDdddcCDAaAcAdDabbAcAaCabaAaacCcCccBbcCCCdaAaAaAbddDdDDbBBbBbbCcBbBBaCcABbDAaAABCcAcAaAaCaBbCcBcCcaAdDCbCcbaaccCCccbBbBCCAABBDaAdbCcCcCcAabBCcBDaAdDdbCcAcAaAaAaAaCabaABAcAaAaAaCaAcAaAaCcCcAaAaCcCcCcAaCcAaCabBAcCaBBBbBaAaaAAaBBDDCcbBcCbBcCCccAaDdDbcCcCcCBdDdCcCCcCcCcCccAaDdCcCddDDaDdAcCddDdDDdDaDdAaAcAaAaAaCCcdDCcCcCcdDCcddDdaCcAbBDdaADdDDCcbBcDbcCcCcCbBAaBbcCBbBdAaDbcCbBbBbBAaAaAaAaAacCAacCBbcCcCcCBdAaDdAaAaDdDdCbBcCcDdCaAddDdbbaABbaAAaAbBbAaAdCcAaCcCcdDdBcCBbAaAdDabDDddDdDdDAacCAaAaAaAaDdDaCcCaddAaDDdcCdAaDaAdAaAaDBbaAcCddDAaDaAdAaAadBBbBbbDAadcCBdDBbdDdDBbdaAaAaAaADdDBbBbbBdaAaADdaADBbbBBbBbBbdaAaADBbBbBbbBdDdaAaAaAaAaAaADbDAadcCcCDAadDdBbcCcCBdDbBbDAaDDAcBbCaDddddcCDdBdaADBbdaADbDAaDcCDAaDdDdAcCcbcdcCcCcCDdDaAdcCDdDaBDdDcCdDdbBDcCdbBbBDcCcCdDdDcCdDdDcCdbBDcCdDdDdDdbAaAaAdDCDabBAdbAaCcAcAaAaAaAaCcAaCaCcCcbaAaaAAaadaCdDdDDBcCbBbdcAbddbBDdbbCABbaAaAacBBbBDaAaADddcCcCcCDdDDdaAdbBDaADbBdDddDdbbBBDdcCDdDaADcaAacbBCACBaCbBbBcADAadDAacCcCAadDAABbBbaaAABAcCcCcCcCaCcCcbBAcCaCcCcbBBBBaaABBbcaDdAAaCcaAAaAaAaacCcCDCcdcCDbBdDDdDdCcdACbAbbcaBDdbBDcCdbAdDdDCcaBbBbAdDaBbBDdbACcCBBbBaaAaABBbBDdDdaCDdDaAdDdDdDabdDBAabBAaAdcADdbBaADdbcCcCbDdAaDdBcacCACcCBbcaDDdbBCcCcCcdAAaCbaAaAaAAbbbCcBDdDaAabCcCcCcCcCcBAdbBBbcCDabBbBbCcCcBbCcCcBbBbBbBAdBAabbBbbBAaAcAaCaAcAaAaAaCaBbAaAabaAaadDccBbBbBbbBbBCcCCAAaacCcccCbBBbCaAaAcbBbBBbCccCCcBbCaAcCaACdDAadBCAdDdDbBacdaADBDdbBDdbCAdDbBdDaAdDdDbBdDacCAbBdDbBdDbBaAaAacCAdDbBbBdDbBdDacbBbbbCdabcDdDdCBAabBADdabcDdCcCBAaAaAabcCcDcCcAaCdDdCcDcAdDdDaAdDdDdDaAdDaCdCcCcCcCBbcDcCcAdDdDdDdDaCdDdDdCcDcCcAaCdDdDdCcDcAdDdDaCdDdCcDcCdDcAdDdDdDaCdDcCdDdCBAabcDcCcCdCBbBADcCdabcDdCcCBAaAaAabBAaADdDcBBDAadBBDCcCcdDCcdccBaCdDcADdDdbBdBBdDdDdaAaADdDbbDbcAbBBBbbbBbBaCCCaAbdaADCcdDdDCcBaCcAaAaAcCcCDdDCcdDCcdDdbCcCcBaAaCcAaCcCcCcCcAbbbBBBbCAbBbBdDacdaAaAaADCcBDdcccCCcBaAdDbBdBBbbDDdbCccADAaAaAaAadaCCCccBdDdDdBbBBbbDdDbCcBDdDdDdaBBbBbBbDDBbBbBbBbBbdDBbBbBbdDBbBbdDdDBbBbBbddbCdBbBbDdBBCcCcBbbbDcCdDdBbDcBBbDCcDdCcDBbBbBbddbBDDBbBbBbBbBbdDdCcCcdDCcdDCcdDdBbDCcCcCcdDDddbBBbDDdCcCcDBbddDdBbBbBbDdDCcDBbBbddDCcdbBBbbBDCcDdCcCcdDCcCcdDDBbdDdCcdDdBbDDBbdCcCcCcDBbdCcDdCcDBbBbdCcCcdDDBbBbBbddDdDCcCcDdDdDdDBbBbBbdDBbdDBbBbBbBbBbBbdDdDBbdCcCcdBbbADddBBdDdDbBbbDaBBbBbBbbAbcCCCDdDCcCcdcCDCcdaADCcCcCcdaCcCcAbbbdDdaAaAdDdcCDdDdDdbBbbBBcCDDcCBBBaAbbBBDdDdDdaCcCcAbCcBDCcCcCcCcCcdbdDCAaAbBbBbBdDdDaAdDbBdDdDbBacdaADdDdaADBaAaAaADdbBbCAdDacdDCAbBdDaAacdDbaADdbBBdDbDAacaAaACcCdBBDCcdDCcdDCcdaCcCcAbBaCcCcCcAbbBdaAaAaADBDCcdaAccBDdDdDdaBBbDDBbdCcdBbDdbBbAdBbBbDaCdBbDdBBBDCcCcCcDdCcdcCcCDCcDddbBcCDCcDDdDddCcCcCcDddDCcCcDDDdDdddCcDddcCcCcCdDbbbDcAbCcccCcCAbBDdBbDAadbBaCBdDaADdaCcCdBBBbbBCcBDdcCbCcCcbbBBbbDdBBCcCcbBbbBBbbDcAbcCBbCcCcBaBDDBbBbBbddBbbBbCdDcCdDcAaCdBBCcCcBbBbBcCDDdddDbCcBDdbbBbBCcbbBBBDCcddDDCcDDDdddCcDdDDdDDcCdDdDcCcCDdDdcCdDdDcCcCcCcCddDDdDdddDdddDcCdDbbbDcADdDdbccCCCcCccABbbBDdBbbBBbaCcCCcBdDdDaBbAaBDdDCcCcCcdDDBbdDdDdDdDddbCdDcBBbbCcADdaBDDdDdCcdbCdBbBbDdDdDdBbDcADddDdBBbBbBbBdaAaADdDdaAaAaADbBbbDDddBBbbBbDDdaCdDdBbDdBbBbDcCdDcAdBbDDddDdDbBbCCDCcdaCcAaCcCcCcCcCcAaAaCcCcAaAaAbCcbDcccCBbBbcCbBBbbBCaAccCBbcCbBBbBbCcbBCaACcCcCcCcCdBCAbBacBbdaADCAaAbBacdaAaAaADBaCcAbBcCbBaAbbbbBBbcacCAacCcbBbBBbCcBbCAAdDaADDaaAAAaaaAaAAdbaAcAaCBbaAaAccBbaAbDdDdDdBCABbBbBbaCaAaAaABbBdDDAbBaaAaAddDDaaAAaacDDdDCABbBbaABbBbBbaccCcCBbdAADcCBbcCbBdDBbdDcCbBbBBbBbbBbBbBcCBbcCcCcCbBcCBbcCBbdaAaaDBbbBdDbBcCBbCcddCAABcCccCAaAaAacCBbcCAaBbcCcCBbAaAaCbaacBbCCBbcCcCccDAAaaAadDDCcbBbBcCBbBbcCbBBbcCcCcCdAaAAaAaAaAaAaAaaAaAaDbBBbcCbBCcBbCAacbBcCCcBbbBCABbBbBbBbaABbaABbBbBbBbBbacBbBbCcbBdAADdaAaaDBbddBcCbCAacDdBcBBbAaBbAabCcCcCbCCDCcCcdDCDBbBcCcCbAbbBbBBadbBcCbBDBcBAaAaAaAabCbdcdBbBbBbBbdbBDdDDCDBcCcCbdbBcdBbcCcAacCcDDcCbBCcdAaAadDdDAaAADBbbBbBBbdDdDBbBbBbBbdDBbcCdDbBcCcCcCBbdaADBbbBdDBbbBBbbBdDbBcCdDbBdaaAaAAaAaaDCABbBbBbBbBbBbaAacBbdDcCCABbBbBbacbBCccCdAAaAaaAADcCcCBbcCcCbBdDcCcCdDbBBbbBcCcCcCdaaAaAADbBdDdaaDcCCABbBbacBbCcdDdAaAadCCDdcCBbDdccDAaAAaadDdDdDdDdCCcCDdcCDCDBbAadcdBbBbcAaCBbcCdbBbCcBbBbCcBDDdDdcCBbBbBbcAaAacCcDAaAaAaDcCCccCCccCcCdAAaADdDBbdaadDDCABbBbacdDbBCABbBbaAaAaAaAaAacdAaAadCCDdcCBbBbdbBDdDcAAaAAbBbBadDaacBbDAAaaAaDCcBbbBCccCbBBbBbdAaDcCcCcCddBbBbBcBBCdCcDcbAabCbCCccDAaAaDbBbBCcbBdAADcCBbbBcCBbcCdaADcCcCbBBbdDdaADBbBbdDcCcCBbcCbBdDdaAaadCAAaaCcCDCcCDAbBbBadDAaAaBbBcCcCcCbBbAaAadDdcdcCDCbBDBbdcdBbdDdDDdDCDAbbBBaAbbBBbBaBbAaAaAbBaBcBAabBAabBbBAaAabBbCbdDAbBaBcBbBAaAaAaAaAabBbBbCbBbAbBbBbBbBaBcCcCcCcCbdbBcdcCDCDdbBbBcdBbccCcBcCcCcBcCcDdCbBBbAaAaBbcCcDdDdDdDdCBCcbBbcDdDdCcDdCBCAadDAacCcCAaAadCcCcDAadCcDcCAacCdCcCcDdDAadDAaAadCcCcCcDAaAacCAaAacCcbbCbDAAaAaaDBbbBddCcBbDdBcBBCcCdDdCcCcCcDAacCcCcCAaAadDdCcDcbAacCbBbCcBAabCcCcCcBAabBAaBbcCAabBcDdDdCAaBbBCdDdDAacbbBAaAabBAaAabBbBbBbCcBBCcCdDcCAacbcCAabCcCcBBCcbbBbCcCbBcCcBBbcCBbAaAacCBbbBcDdCcCBbcDdCAaBCAaAaAadDcCAacbbCbDDbBcCCcbBBbbBBbcCdDbBBbcCddBcCbBbDDdAadCcDdCAABcAaBbBbBDdDcCdbAaBbCcCbaAdDAaAaBDCDbBbBCcCcdcdcBDdDdbCcCDdbdDdbCCcccABbaCCDbBbBdcaACAaAaCBAdbBbBbBDaDdaAAdbBbBbBDaAaAdDdbBDAaabBbBbBAAaAaAaAaaDdbBbcDDaACbBbAaBcdbAaaCaAaAaAcABdCccccBbBbBbBbBbCABbBbBbBbaCCDdCBAdDdDAadDaDdbBbBDdbcDdDdDDCccCCbBbBcdDaAcCcCaAaAdbBDCbAaAaBbAaAaBcddDdDDdDCccCaACbAaBbBcCbAaBcddCcDDCbBccCaACcCbBcaAcCaAaAddcBdaAdcCcdDCbBcdAadddDDDAaACcaBbDCDdbBbBDDbBdaCbCdDcCdabBbBADcBcABbDDaaCBbDCbBDBcBAabCbdcdDCcdDCDBbAbbBBbbBbBbBbBBadcCDAbbBBbbBbBBaBcBAabBbBbCbdcddDcCdDBbDCDdbBDAadbBcCDBbBcBbBbCbBcCcCcBbBbBbCcCcBAabCcBAaAabBAabBAabCbBbBbdbBDdbBbBcCbBDBcBbBbBbCbAaBcBbBbCbAbBaAbBaAbbBBaBcBbBAaAaAabCbBbdbBbBDdcddDBbDdDCcCDAaAaBcBbBbBbCbdcCDBcBbCcCcCbBcCcBAaAabBbCcBAabCbAaBcCbBcCcBAaAabCcCcCcCbBbBcBbCbBcBbBbCbBcCbdbBcdcAAddDbBbBbccBbBbBbBbacBbBbBbCcBbBbBbBbCABbbDdBCCCCcAacCCBaAbBaAbBaAaAAaAaAdbBbBbBDaAaDdDdAdDaaAAAaabBDdbcAaCBDdDdAdDAaAaabcccABbaAaAaCcCaAaAcAacBbbBaAbBbDdBbBacBbCcCcCcCcBbCcCcCACCBdBBbAccCcCCAAcCaaaBbbDbcABbacbDdBCABbaCBdaCbCcCcBBaAbcADbBDaaAABDCcCcCDbBdDbBdcdccCAaCbAaBbaABbAbBbBaAaaacBcBBbAabBAaBCcCcbbCcBcDdCAaBbcCcDdCbCbCAaAaAaCccDDcCddCcDdBbBcCcBBCdCcCcDAaAaAacCdCcCcCcDdCcCcCcCcDcCAacbBCcbbCcCcCbDAADcCcCbBcCdDBbcCdaaDbBBbCcBbdAAaADbBdDcCBbcCBbBbcCbBcCbBBbcCbBBbcCcCBbcCdDcCBbcCcCbBdDdDcCcCcCbBBbcCcCcCdDBbbBbBdaaDBbbBbBCAacBbCcBbCcbBBbdDcCdDdAADbBBbdaaDBbBbcCCcdAAaadBbBbCAaAAdDBbAbBaddaCBaCdDbBdDbBcCdDDdDBcCbdbBbBbBcABCcbBbBCcBbbaABCAbBbBaAbBaAbBbBacbDdaAbdaAdbBDDcADbcABbaAaABbBbBbBbaCCcCCcAaDdDdAaDdCcDdAaCcDDddcccaAbBbDdBCcBbBbbDdBBbCAaCBbccCCCcBbccbDdDdBbBBbBbbBacCAbDdBbBacBbBbBbBbCcCcBbCAacBbCAacBbCAacCcCcBbCAaACcBbCCCDDaAcCcCaACbAaAaAaBbAaAaAaBcdbacaAaAcdDBbBbCcdDdDCaAcdaADdDBbdDdaADdaAaADBbBbBbBbCcdDBbBbdaAaAaAaADCaADdDdcdDCcCaAaAcCDdaACcDdcBbBbCDdcBbCCcDDccAaAaAaCCaAccCCaAccAaAaAaCcAaAaAaCCcCaCcCcCBbcAdDddCcaACcCCaAaAaAcdDcCdDdDdDcaACccBbBbBbCaAcCcBbdDdDCcBbBbdDCCcaADDccCcAaAaCcCcAaAaCCddDDcCaCBbcCBbdDdDBbBbdDdDBbdDcCBbcCcCBbdDBbcAccCcCcAaAaAaAaCCaCcCBbdDdDBbdDBbdDcCBbcAdDdDdDdDaAaAdDaCcAddcBbCCdDABDdbBbAaBbBbadDCBbBbaABbcccdaAaADdDdDdaADBbCDDdDddaADdcCDDaAaAdDaAaCBbdDBbBbcAaCBbBbcCcCdDdDcAaCdDcCdDBbcAaCdDBbdDcCdDcCcAaCdDcAddcCaAaACdDCccaADdCCBbBbBbaABbaABbBbBbaABbaAaAaAcdDcDDddcdaADdaADCaAaAcCcCaAaAaAaAaADdaADDdDccCcAaCcAaCcCcAaAaCcCcCCaCdDdDdDcAcCddcCCcaAaADdCCBbBbaABbBbaABbaAcAAaaccBbBbCDDaAcCccCcAaAaAaCcCCcCaAddcCcdaADdaAaAaAaADCCdDCBbBbBbcAaCBbaABbBbcAAaaAAaAaAaAaAaaAAaaCaAaAccCCcAaABdCBAdDaaAAdDAaAadbBbBDaaADdAAaAaAaaAdDdbBDaAaDdaAaAaAAdDaAdbBbBDaAaAdDaaADdDdAaaAbBaAaAbcAaAaAaCBbBDdaAAaAaaADdbBbBAdDAadbBDdbBDAaAadDAaaaAaAbBaAaAAdDAaabBAAadDdbBDdDdbBbBbBbBDAaabBAabBAdbBbBDAadbBDAaAaaAaAdDdDAaAadbBDdDaDdaAAaDdDdbBAaDdbcDdAaDDaAdDcCdbAaBbaccdaAaADBbdDBbdDdDCcCaAcCcCaACcaAaADDccCcAaCcAaAaCcAaCCddDdcdDdaAaAaAaAaAaAaADCDdCdDCaAcABDCcdbBbBbBdDbadDdDccBbBbdDdDCCdDAaCcCaABbBbBbaAcCcCcCBbccCcaACcDdcBbdDCcdaAaADCaAcdDBbBbCDDcCdDaAdDddaAcBbBbdDBbBbCDDaAdDcCaAccCcAaAaCcCCcCddcCaAcBbCaACccCDDcCaCcAccCCddCCaABbBbBbcAAaAaaCBbaAaAcCcCccaADdCcCdDCccDdCdDAAaAaBdDdCccCAaDbAaadDCcCBbcccBbCCAaAAaBbaCaAaAaAaAaAccCAAaBbBdAaCBDdaAaADdAaDdDdaAaAbBAdbBDAadDdbBDdDdDAadDAaAadbBDdDdbBbBbBDdbBbBbBDdbBbBbBDAadDdDaAaaAAdbBDAaabccBdBBbAaBbBbbBbdbBcdcCdCcddDaADDdbBCcbBbBDACcCcacabBDDddbBdDdaADbBDddcbBCabbdDCcDdCcBBABBbbcbBbBCcCabBADbBbBdBbDdDdDAaDDdDdddabbBBbBbBbBbBAaAcCabBAaAabbDcAaAaAaCcAaAaCDCcBbBbddDcCDdcAaAaCcAaAaAaCcCcAaCcCdDcAaCdBbBbBbDDBcCcCbAadddDCcBbCcBBbbdDdDDDCcAaADcCcCcCcaACdaBcCcAaCcAaAaCbddDDdcCDCcADcaAaAaAaDdDdDdAaDdDdAaDdAaDdDdDdACcaDdACcCdDcaAaAaACcCcaACdaddBBABBbBdDbbBBbbBBdBaCcCcCcAaAbBaCcAaCcAaCcAaCcAaAaAaCcCcCcCcAbBaAbDbBdDdBaCcCcCcCcCcAbBbBbBbDbbDACDddDcCdbBCcbBddDaCdDaAdDaAaAdDcCaAcAaADbBbBdDDdCcbBdaCaAdDdDdDdDdDcCcCdDcCcCaAcAaCcCdDdDdDaAdDcCdDdDaAcCaAaAcADDACcCcCcCcCcacabBDDdddcCcCcbBCDACBaabbCcCdCcDbBbBdAaDdDbBDddAaAaCcCCccDdDcBBBbBbBbcCADBcCbBccCcCcCCbdDBccCCcCcCcCbBbdDdacCcCCDdCcCcCcDdDdcCDdCcCcccCcCbbCcBbBbCdAaAaDDddDdAaCCAabBccCCdDdDcBbcCBbCABbacCdDcCbBABAabBbBAaAabBAaAabBAaAaAabacBbBbcCBbcAaAaCcDbBcCdAaAaCBbcAaAaAaCcAaCBbBbBbBbCdDdDAabBAabBcCbBccCcAaCCAaccDcBBcCAacCCCcDdcCCccCCcDdDdCccADdaBdDdDbCcCCcDdCccCDdDdDdDdcAAaacCcCcCcCbbCDdDddAaAaAaAaCcCBbBbcCcCBbCdDdDcCAadDdDABAabadDAaABbBbabBbBbBbBdDdDbBbBbBdDccCCcCAaABbBAaAabBbadDbBbBcBbBbcCcAaCCbBAadDAaABAabBbabBbBAaccCBbBbCABAabBAabBbacCcBbcDbBDdDddAaCCbBbBcCAacBbcAaAaDDdDddAaDdAaCcAaAaCBbCcCdDbBdDbBAaccDDddAaAaAaDbBcBbCbBbBdAaDDdcCcBBbBcCbbBbCbBdCBbBbCdDdDbBAaccDdDcBbCDdbBdAaCCdDdDdDbBccDDddCcCBbcCCbBccCBbBbcDcBBBbBbAaBbAACCBbBbccCcCCccaaCcCCccBdDdDbBdDbCDdCccCDdcBdDdDdDbbbCcCDdDdbBdCBbBbcDdDcCcBbBbCcBBCDdDdDdDdCcCcDdCcCccbBAaAaAACcbDCbBDBBbbDDdbaAccCCBdaacBbCACddcCbbdABbaDdDBBcCcCDdDaAaADddcCcCDDBbbBdaAaAdDDcAaaAacbBbBbBbBbBCAAaCcCddcCcCDdbbdDBBDDbBBbbCdaAabBbcDcAdDdDaCcAaCdCBbBAaAaAabcDcAdDdDaCcAdDdDdDaAaCcAaAdDaAaCdDcCdCcCcCcCBADdDcCdDcBddDDddDDBBBccBdBBbBbBbBbBbBdDbbBBdaAaADdaADdDdaAaAaADbbBBbbBbDaCcBDDBbBbBbdDdDdDdDdDBbdDdDBbBbBbdCcCcdbCcCdDdDcBBbbCcBBbbBbCdDcBbBbCcCdBbDdBBbbDcCdBBbBbbBbBbBbBbDdDdBBCcCcBbbbBBCcbbBbDdBbDcCcCcAdDDdaCcADdbBbCcBbcCBaCdDdDdDcADdaBbAaAaBBbbAbcCcAacCCccCcCcCAbBbBbBbBacCAacCCCccAbBDAaAaAaAaAadbBbBbBaCBbCCbBbdaADbBbBBcccADdbBbBBbbBDAadbBBBbbDdaCCCcCaAbdaAaADbBdDdDBbbbBbcCbBddbbdAaAaAaDCABbaABbBbacCcBBcCDDcaAaAAaAdbBDDbcCcAacCcCcaAbDdBacBbCAbBbBCABbaABbaAacbDdDdBBbbDdBCcbDdDdBbDdBCCccbDdBacBbCcCcBbCcBbCAbDdDdDdBBbCCaABDdDddDDAbBbBaaAdDaacDDdAaDBbdAADdDbBBbbBBbdDbBbBbBcCcCdDdaaDBbddCAAAaAbBaAadbaAaACDbAaacCdDCcccCCCBbBbaAcAAaAaBdAacaABdDDaaCccBbCcCcCCBbBbccCCdDDddbBbCcBDccDAADBbcCdaadBcCbCCcCBbDCbBcCbBDAadcdDCbBDAbbBbBBadcCcddDdbBDDCDAbBadcddDDCbBcCcdDdcCdDdDccBcBBbcCbCcCcCbDDCAaABbBbaAaABbacdAaDbBdAADcCcCbBbBbBBbbBBbcCdDbBdDbBBbdaadCcCAaAABDdcBDcCcCdbCcBDdbCbaaAAAadbBdDbBddDaacCACbCcCdabBADcCcCdaAaAabBbcDdDdDcCdDcCcAaCcCdDdDdCcCBADcCcCcBcaAacbAaBBBcCCccCcCcCcCCcCcccCCccCcCcCcCcCCbbbBbAaAdDaBbAdDdDdDdDaBBbCcBBccCcCCbBbbbAaAdDaBCACBBBbbBCcdDBcCaADCcdDCcCcdDdDdbdaAaADbDdbdDddDDBDdaCbBDddDbBcCDBbdDBbBcCbdcCcAaAaCdDbBcCdDdDcCbBdDDdbBbBcABCcbbBBCcdDCAbBbBaAdDdDaAaAbBbBdDacBDdbbDcCcaAccCCaAccCcCcCbBbBbBCcCcCcbBcCBbCcCaAaACAadaABBDCcdbCAdDbBbBdDbBbBdDdDbBbBbBacBaAbbaCbBdDcCcABBDCcdDdaCcAaAaCcAccBDddDaADddBbBbDDddDbcABbacCAaABBbBbbaADAaAadaAbBaCCCaCcCcAbCAdDacbDdDAABAaCcCcCcbBCcBDdBbbAcCcAaAaAaAaCaAaAaBDaAabCcBbCcCcCcBAdBBbBbbbCcAaCcCcAcAaAaAaCcCabaadbdDBaCcCbBdDbBbBcCdDcAbBBbDAAaABBcaBDcCdDcCdDdbAdcCDaBDcCcCdDcCcCdDcCdDdDcCdbAaAaBDcCdbACcaAdDCBBbCaAcbDdDdbAcCaCcbBCcbaadBCAacbbcCcCdDBbbBBaCbBbBDdbBbBDddDdDcCcABbDcaACcaAaAcbBbBBbcCCcCCAAaacCAaAABAaCcAcCcAaCaAcAaAaAaCcCcAaCaCcbaadaCDBbBcCbdcABBccCcBbcCCccCBdBbDbCcCcBdDdDDdbccCcCAaCcAbBaCccCCcCcCBDdaCdBbBBbbBBBDCcdDCcdbCcCcbbDcCdBBCcBDCcDddDddDDDdDDdddcCdDdDdDdDcCdDdDDDdDdCcDDdddcCDCcdDCcdcCdDDDDDdDdDDddDDdcCddDDcCDdcCcCcCdDdDcCDddDddddcCdDdDcCDdcCcCcCcCDDDDcCDdDddddDddcCDCcCcddDbCcBcCcCdDcCbbbBbBBBcCcCDdcCDCcDdDdDdCcCcCcddDbCcbBbbDdDdDcADddDbcCCcCCbbDcCccbBbBBbcCbBCCdbdaAaAaAdcCbBcCcCbBbbBbdDBbBBcCcCbBDaAdcCcCbbCABbacdAaAaAaDCcdABbBbaDdABbaAaAaDdABbaAaAaDCcBbBbBbdDCcdAaDdABbBbaAaAaAaDdDCAaABbBbBbacBBDdbbBBcCcCcCcCbBDDbCdDdDdabcCBbBAabBAaADdaAabBbBADcBdDdDdDBDdBBDCcCcCcdbBaCcCcADCcdbBaCcCcCcCcCcAaAbdaADBDdbbBCcBbCAdDdDaAdDbBacCcBbbDdDAadbddcCDaADbCdDcBbCcCcCdaADcBdaADcABAAacCAAcCcCaAabBbBaAbcCcCcCcCcCcCBaabaacBbbAaBbBCAaAAaacCAaAacbBCACdaADbCcCcCcCcCdDcBddDaADcacBbbAaBbBbBbAaBBBccCcCCCcCcbbCcCAAdDDdBAccCCaAAAaAcCabcCcCBAabcCBbcCBbBbcCBaAbcCcCcCcCcCBbBbBaAAaAcCabcCBbBbBAabcCcCcCcCBbcCcCcCcCBbBaccCCAbcCcCcCBbBAaaccCCAbBaAaAbBAabBbBbcCBAaAaaAaccCcCcCCccCcCCcCcCcCabDbBbCDbBDCcCbBcddDbAaBbAaaAadDABdcaAaAaACAaCcDDdDcCaAaAaACcddcCAaAacBbBbaAcCccCcacBbCAacCcCcBbCcBbBbCcCcCAbDdDdDdBbBbBCAacCcBbacBbBbBbCAbBbBBbCcCAacCCaACAaDbAaBdDdDbAaAaBbBDaACbAaAaAaBbAaAaAaBcaAaAdbAaaAaCaAcCBbBbccDdcdaADCcCcBbCcBbdDdaADCDdCCaAcAaCBbBbcAaCcABbAaacDdCdDdDcCdDCaAcCBbaAaAaAcdDcaAcdaAaAaAaAaADdDBbdDdDCDdcCcCDdaACcCcaACAAaadDCcccCDDddDdcdaAaAaADBbCaAaADdcBbBbdDdDdaAaADBbdaADdaADCDdCABdAaCBbBDdAabBbccaACAaDbBDddAaCBAdDdDAaabcCBaAbcCcDdCcDbaCaAcAaABdCcDDddCccaAaAcAaCaABdDDBDCDbBCAaBbBBbBbbBBbbcdaCcCBbBbBaAbcAAaDCAaBBbBAabbcdDCBBbbBbBbBbcCcbBCAaAacdDCcCcCAacdDCcbBdcdDdDCAaAaaAcCDbBbBbBCcCcdcdbaAdbcCaACcaAccBbbBaABbbDdDdBCAaAaCBDBbaacBcCbBbBbCAacDDcCcCdDbBCccCCcBbcCbBdDBbcCBbBbBbBbdDbBbBbBBbCABbBbBbacCAacbBdDdAaDbBbBBbcCbBBbbBcCcCbBdAaDcCbBcCcCBbbBCcddBcCcCbCAaCdbBbBDBbDCcCcCDAaAbbBbBbBBaBcBbCcBbCcBbBAabBbCbBbBcBbCbAaBcBAabCcBAaAabBbCbdDBbdcddDcCBbdDcAAaAdddcCcCbBbBbBDDbcCaABdBBbbdcdccbBccDdDdCBACDaCcAbCbBcBdAdCAaAaaAadDdDAbBcCadbdDdDdDdDBBBBbBbbbaADAccCdbBdDbAaBdDdDDddaAaAaACBbcCBBCCBCDCaaAaAAbBaAaaaAaAAaadDAadDdDdDAaAaAadDdDAadDdDdDAadDdDAaAadDAAAbBaaABbBbBbBbaadDdDdDdDAAaadDdDdDdDdDdDAAaaAAAABcCcCbAaacCaBbBbBbAcdAaaADCbBcCbBAAAcCaaBbBcCcCbDdBcCcCbAaBcCbBcCbAAaAcCaaBbacdcbcCAaAacCAaaABbccbbcCAaBBBbBBbbbBbbBBBAAaaBbAAaaAaAaBbbCCAaBbAaaAaAAaaAcCaAaAcCaABCBCBAabcbAaDDdDcCcBbcCcCCcBbCddcbaAccbBBAabCCAaccCcBAcCcCcCAacCAaAaaBbAaAaBbBbbBbBAcCcCabbbcaAaADbBbBDBbcCcCBBdDCcCcaACcdDCcaACcBbdDaAaAaAdDdDaABDdbbAddDdDdDDAaaBCcCcaAaAbBaABbaABAAaacddaAbBDDCcCAaDCaAcCAAACCaCbBbBbBCBDdAaDdDdbBbBDdbcbBcDdDDACcabBbBbBAaddCbBcBbdbBcCbBbBDBBBbBbbbdbBbBDCbBcDdCcCbBcBBBbBbBbBbBbBbBbBbbbAcAaAdDacaAdDaaaaAcCaBbBcaACdDBaAbbAACcDDcCaAcCAaAaAaAaAaaAdDddDdAAdDaAdDCCbBcCcAacCcdDdDaaAACcCAaAdDaCaAaCbBbBCccAaDaAaADdDDaAdACcadDdaAaAaADbCcBbBbBDddDAaDdddCcDDACcabBAadaAaAdDDbCcBDBbaAdAaDaAaABbBDBbdbaAdDaAaAdbCcBbBbBddBbAccCcaAdDBbCcCcaABbaADcbDdDaAaAddACdDdDcaDDdBbBbBbDaAaAddACcCdDcaACdDcCdDcCcCdDcaAaDBbDdBADdDdDCcCDAbBDdDDbBbBdDdDddDDbBbBddDDbBbBdDbBbBddDdDDbBddaAaBbAbBbBadDdcCDBbBbADdbBDdDdadcCcdabdDBCcbdAaAaACdDcaDDddDdAaACdDcCcCcCdDcaAaDBCddDaaAADcADCcdaABbaAabDaAaAaAaAaAddAaDBAaCcbBCddDdDCCaDaADbCcBbCcBbBDCcCcdDaACcBbCcdDdAaAabBddAcCaCCcCcCccDdDaADbCcBDCcCcddDddCcAcAdDdDdDacaaAADdaADcADdDCbCDdcBcCcCDBbBbADDbBbBdDdDdDbBbBdDbBbBdDbBdDbBbBbBddDDbBbBbBbBddbBaADDbBbBdDbBbBddbBaAaAbBadcdaABbBbBbDCDAbBDDdDbBddDdadbCcBDdbBDAbBbBDdDdaADdbBbBDdaAaAbBDdDdbBbBbBaAbBDdbBaADDbBddbBDDbBbBdDddbBbBDdbBbBbBDdbBDDbBbBbBddDDbBdDbBddDDbBbBdDdDdDbBddaBbADDbBdDbBddaAbBaBbBbdbCcCcCcCcCDdDdcCDddaAaadDcCAAaAaadDcCcCAadDAaAacCdDAADdaAaaAADdDDddDcCDddaaAADdaaAacCdDcCAacCAADcCdDcCcCcCDdDdcBDBbdDBbdcCDADDbBbBdDbBbBbBdDdDbBddDDddDDbBbBdDbBbBdDbBbBdDdDdDdDbBbBddDDbBbBddDdaAaAadbCDddaADcBcdDdDCbCcBcdaABbDdBbaABdcCDbabDaAddAaDDaAaAdBABdcCDdcCcCDbBdDbDCbBbCdDDdDdDdDdcBcdBdcCDbDdaCddDBbBbaaDDdDcCddCBbcaADdDdAaCcCBaAdDbBaAdDbBaAbBbcCcDDdDddCcAaDdacdAabBbBAAaAaAaAaaDCcDBBDAaAaAaAaAadDdDdbBbbBBDdDAadbBDdbBDAadDAaAadDdbBbbBBDAaAadDAaAadDdbBbBDdDdDdDdDdDdDAaAaAaAaAadbBDdDdDdbbddDdDDBBDAadbbdCaAcDBbdCAAABbCcBbdDaaCBddDdDDaAddbCcBDdAaBbAadDAaDddDdDAAbBDdacDdCCcAaABcBAaAaAaAaaaAaAAaCcAaCDbBbBdDdDdcCDdDbBbBdDbBbBdcAaCDbBdDbBdDdcaACDbBbBbBdcaAaACDbBbBdDbBbBbBbBbBbBdDdDdcCcCcCcaAaAaAaAaAAaAbBbCbdAacCAbCcAcCcCaCaAcCCBaBbBbCcCaAcBcCbBcCcCbAaCaAcBcCcCbCaAaAaAcBbBcCbAbBDdDdbCccaAaAaAaAcAcCcCcCaBbBaDBbacDdCAdAaDDdDdBcBAaaCcAAaaAbcCBaCcaAaAAaAaAbBbCcDdcbBbDcCdBCCAaAabbBdAacCAbAcCaCCcCBAaAabcCcaAcCCCAacBAaDdaBcCcCbADdDdDdaCcAaBcCcCcCcCbAAabBDdaBbBcCbAbcCBaAAaDdaADdAabCAacccAcCcCaCaAaAcCcBaAaAbBbCCCcBAaaCaAaAcADdAabCAacccBbAcCcCcCcCaAcCcCaCCBbccAaBaAbAaAaCaAaACCcBAaAaaCcCaAcADdAabBDdaAAaAaDdAaDdDdAaDdDdDdAaDdDdaBcCcCbCcBcCbADdDdaBbBcCcCcCcCcCbCaAaAcCaAaAaAaAcAaAbcaAcBacCAbAcCcCaBaAbBbAcCcCcCcCcCaAaAaAaCaAcBbCcBacCAacCAbCaAaACcaACBDdDdaAaADdDdbcaAcCcBbAcCaBbCcAcCaBbBbCcCaAcAcCcCaAcCaAcCcCcCcCaCCBAaaBcCcCbCaAaAcAbccCCCAbBacccBbCaAaAaAaACccCCBAabccCcAcCcCaAaBaDBAaADdDdCcCAacCBbAdDaBbAdDdDdcCDDddcCcCcCcCDdcCDdDDdDdaBbcCcCcaAabaAbBbBBcCcCADdDdCBbBbAdDaBbBbcCACcdDaAaADdaBbcCcDdacDdCcCAacBAaaAAaaaAaAaAAaAAabCbBccCcbDcCdBCCbdcCcCcCAaAacCAaAaAacCDDdDCAaAacdaaAcDdCABbaADdbBDdBADdaccCDdDdcCDdDdcCBAaaAAaaAaaAAbDdDdBaaAaAAbcCcbDdBCBbBAaAabDdCAabacCcDdCcDdCAdAacCDbBDdBcDdBaCcAaCcaAaAAaCDdDbBbBdDbBdcCDdDdDbBdDdcCDbBdcCDdcCcAaaACDdDdcCDdcCcaAAAaAabCbbBdAaAbCcBaDdAbCcBbAaAcCaBbAaBbAcCcCcCcCaCcBaAbAcCcCaBbCCccBaDacCCdDcCcADCAaAaAaAaAaAacCcCAaAaAaAacCAacddcCcCcCDaABbdcCcCcCAbCaACcaAaACBAaAaAaDdAabcCCAbBacBaBcCcCbCcADdaAaBbAbCccaAaACBbCAbBbBbBbBbBaAbBacBbBaAaCaAaAaAcBbBcCbBcCbAaBbCcCaAaAcAAabCAaAbBacccAaBbBaDdcCDdcCDDCcCAaAacCAacCcCcCAacCAaAaAacdDdDdDCcCAacdaCcabCcBdDAadDACdDBbBCDdDaAaAdBacDddAacCcCAaAaAaAacCAaDCcdAaDDdCAbDABbDdaAabBABcCbadBaCccDddAaDdDdAacCDCCDdDdcCcCDdcAaCDdDdDdcCcCDdDdccCcDdDddAacCAaDCAaAbcCcbdDBCDbBbBAaaAADdadCcDaAAabBdBaAaAbcbcAdDBACBbBbAacabbBbBaCBCcCCAaAAdDdBbAaBcAaAaCbBcCcCcAaAaAaAaAaCbDaAdBcAaAaAaAaAaAaAaCcAaAaCbDDDBbdAaDBbdbBAaDdDdbBdaacBacdAacCDdAaDDdDdCCDdDdcCDdcCcAacdcCcCcCDDddcCAaAaAaAacCAacCDCCccDdCAaAaCcAbBbDdBaAacDddDCcCcDdCcDdDddAaAacCDdDCCcCcCccdAaAacCcCAaAacCcCDCcDddDCcDdCAbcCCcBbCcDdBaAbDdCABbBbADAabBAadaaAacBbCcCAaccbcCccDdCcDdCAbBBcBAabCbdAbCcBbBbBbBbBbBaAbCcCCcaACCAaAbBacccCcAaCcCaAcBbAaCcCCcaAcCaACCAbBbBbBbBacBaCaAaAcBbBcCbAaBbBcCcCbCcBcCbCaAcCaAaAaAcAAabcCCAaAbBaAbBbBaccaACBDdbcCBaBcCcCbAbBbBDdDdAaaBbADdDdaAAabCAbBaAaAbBacBaBbAbBDdAaaBbCcCcBcCbBcCbCcCcCcCcCcAAaDdAabBAaDdDdbBaCaAcBcCcCbAaCaAcBcCbBcCcCbBcCcCcCbBbCaAaAaAaAaAcAbCAbBacCcBbBbCAaAacBbCccaAcBaAbBbAaAaAaCCCAbBaAaAbBbBacCAacBDdaAbBDdAaaCaAcAbCAaAbBacBaCcBbCcCcBcCbAaBbCcBbAbccBaDaadDBbdDACdDcABbdcCDbBBADdDdDdCcacDdcbBbDdBbBbDdBbBCBaCcaAaACDdcaAaAAaCcaAaAaACDbBdcaAAaAAaaCcaAAbBaAaaACcAaaACcCDdDbBdcCcCcCDdDbBdDbBbBdDdcaAAbBaAaaAaACcCcCDbBdcAbCbbBDdbBdDbBBbbBaADdaAaADCcdacCaBbBbBbDDbcCcaaBbBDdbAADDaDdBbAdDAaddCcAaDdCBbcCcaaAACcCcAAdDCcBbdDdDdDDdBbCcDdCCbBbBccdDCAdDaCaAbBcCaDDDaABDdDBbdDBbdbCcCcdAaDCcCcCcBDBCcCcCcCcCcCcbdbBDBCcCcCcbBbBCcCcbBCcbdDdbBDdbaACcBDdbCcdbBdDDBDdbaACcdDCcaACcaAaAdbCcCcCcBbBAabBDBDdDBCcCcbBCcbBbdDdbaAaABDdbdbBbBACABbBDAaAbbDdBbDdBCcBbBadbBbBbacCcCAacabBAaDBDdDdDBCcbBCcCcbdDBbdDBbBbBbdbaAaABDBCcbdDBCcbBCcbBbdbBDdbdACcaddCcCbBbBCBbccdcCbBDAbBaAbBadbBcCDBBbbBbCbBbBcdcCDBBbbCCcbBcDaADDdbBdaAaAaADdDDBbdbCcBACcCABDcbBbBbBCAbCcbBBbCcCcBbbBCcCcbBbBbBbDdBCcCcbDdDdBBadbaCcABDAbCcbBCcbDdBBaAbBaAaBbAbCcBbCcBaBbBbBbdDdDAbCcbBbBCcbDdDdDdDdDdDdBBaBbdbBDAbbBBbbDdDdBbDdDdDdDdDdBBbBaAaAbbDdDdBBacCcCAbCcBaAbbBbDdBBbBbbBCcbBbDdBCcbBCcCcbDdBBbbDdBBaBbBbcCcCcbBCBbBbAacCBbAadDBbcbBCcCcbBCcCAadbBDcbBbBCAaBbBbBbAaAaAbbBbBBbCcbDdDdDdDdBCcbDdBBaBbdbaABbBDcCcbBCAacCBbcbBbBbBCdDBbBbBbBbcbBbBCdDBbAaAbbBCcBbbBbBbBBbBaBbAaAbBadbBDdbBbBDcCAbbDdBbDdBBaBbdDAadbaABDBbAacbBbBbBCBbBbAbbDdBCcCcCcbDdDdBBadbacCABbaAaCaAaAcCaAcCaAaAcAacadaAdCcCCBDdAaDdDdbcbBCBDdDdAaAaDdDdbcCBDdbBDdbBDdDdDdbBbBAaAaAaAaAabccBbDddcCDDdBBbbBbdbBcCDdDDddDBbBbCbBcBBbbBBbbAcCaCCBDdAabBDdAabccBbdcCDCCcbBbBcDDbCcBbCcBddDddcCbBcCcCbBDdcCDBbDDDaABDBCcCcbBCcCcbBCcCcbdDdbBDBCcCcbdDBCcbdbaAaABbCcCcddDbCcBAaAaDaABDBbBbBbBCcCcbBbdDBCcCcbBbBbdDBbBCcbBbBbdbBbBbdDCcCcCcCcCcCcCcCcaABbBDdbCcddaAdAbBaDdDdDdBBbBbbAbBccaaCBbBbcaAaADDddDDAacCdDddDdCcDdAaDDcCaBbBbDCcdAAaddCBbBbcacCcCACBdDbcAAdDaaCBbBaAaAbcAAdDDcCcCdCcaaCBbcaACBddbBbBdDBbDddDBbAAdAbBbBaDbBDdBACBbcDdDdCACcCcCcDdCcDdDddDaAacCBbcacDdcCDdBAaAaaCDbBdcaACcAAabcbDdDcCdDcCcCdBCBbCbdcCDaAaadDBbdDAAbBDCAacdDCAacCcddcCAaAaAaDDCcCcCAaAaAaAaAaAaAaAaAacdBcDdDdcCCACBbBbAdDaADdacCAdcCcCcCcCcCDdDDddcCcCDaBbACcdcCDdDDdDdCcdDDdaBbAacDdCBbcDdCAaBbBbcacCcDdBaCDbBdDdcAaCcAaAbcCcCCcDdcCBaCDbBdcaAaAAbDdcbDdBCcbBbBbDdDdDdDdDdDcCdDdDcCdDcCcCdBCCbbBdcCDbBbBbBbBbBBbDCAacdaCcAbBdAbAaCCBDdAaAabCAacBbcCCcCcBAaaAbBDdAaDdaCaAaAcBcCcCbCaAaAaAaAcAAaaBcCbBbBbCcCaAcBbCcAAaAaAaaAAabBbcaACBAaDdbCcBDdDdbBAabCcCcBDdbcaACBbBaCcAbCcBbccCaACcCCcCAbBaAbBaAbBbBbBaAbBbBacCAacBaCaAaAcCaAaAaAcCaAaAaAaAaAaAaAaAcBcCbCcBbBbBbAbccAcCaCcAcCaAaBbAcCcCaAcCcCcCcCaCcCCBaCcAbCAbBacBAaaAAaAaDdDdbCAbBbBbBbBacCAaAbBbBbBbBbBaAbBbBbBacCAbBaccCBDdAaDdbcCcCBAaAaAaDdaBcCbAaAbccAaCCcCcaAcCaAaAaAaAcBbCcCCCAacCccaAaACcCBDdbccAaBaDDCAacCcCAaAacCcCcdDCAaAaAacCcCAacdBbdcCDdAaDDCAacCcdaAaabCcBdDbBDdAaBbdDDdbCcCcBDdAAbBDCAacdBADdabbBaCdDdDcaBbbBBbACcABAacCbdcCcCcCDaAbBdAacCcCAacCcCDBAaACBbcDdDdDdCAdDaAaADdacaccbDdBbDdDdDdDdDdBbBCCAabbBaCccDdCaBbbBdDdDDddDDDaAaAddAaAaAAaCBCDdDdcbBCBaCDdcAaAbCcBaCccCCDdDdDdcAbCAaAADDBbdDBbBbdAaAaDdDdbBdaacDaAaAdBacDdCcdcCDCAacDdDdCAbBaAbcbdDBbdDccDdCaBbBbdDBbBbBbbBDdAABAaccCcCDdCcDdCbBbbBdcCDBbbBdDdcCcCAbBbBbBbBbBaDbBdDaadDdDDdBbBbbBBbDDddAABAacCcDdDdCADdCcDdCcDdDdDdCcDdabacDdCabCcBDdBbBbDDdDaAbBdDaAddACdDcaDdbBAaBbdDBbbBbBAabBDDaAbcaAaADdDDAaddCcaaAcCcDBbdCAAaCcAAdDBbaAdDdDDcADCcdBdDbBdDdDdDdcCcCDbaCcCddDdDaAdDBbCcBbaaAaaaBDCBCaCbabBAabBbBABbabBbBABbBcAdAaAaBbAaDcbcCbBBCdAaBbBbDaBbAcCcCdAaDaCbBcCbabBAabBbBABbabBABbBcBbBbAdBbDaCcBbAdDdBbBbBbDdBbDcBbBbBbBbBbBbCdAaDcBbBbCdBbDdBbBbAaDaAaBbBbAcBbCcCaBbAcBbCaCbBbBbBbBcAcbBCdBbBbAaBbBbBbAaDdBbDdDcCaBbBbBbAdDaBbBbBbCbabBAabBAabBABbabBAabBABcAdDcBbCcbBBbBbbBbcCBbbBBBbBbBbBbBbCcBbbcdcCcCDdDCDdBCdBbBbDdBbAaDaAaBbAcCaAdDaBbCcAcCaAaBbCbabBABcBbAcBbCdBbDaCcBbCcBbBbBbBbCbBcAcbDCcdbBDdbBDdbBcCDdcCDdcddaadDDdcCcbBbBbBbBBbCdDcCAADcCcCBaBaDdaAadDAAcCbBcCCcCcaaADdDdaAAaadCcCcDADdaADdaADdAcdDCbAaAaBbBbAbDCbBbBDCcdBbbBDCcdbBBBbbDCaAaaAAaAcdbBDCcdbBBCaCcBbCbBbBbaABcCbBcCcCcAdAaDaBbAcBbCaCcBbCbBcCcBbBbBbCbaAabBAaAabBbBAaAaABbBcCcBbCcCcBbAdDcBbbbBbBbBBbcddCcCcaadDDddDcCcbBCDdaAdDDdaADdaAcBbbBCAaAaaAdDaAcCaAAACdDcDcCBbdCddBcacCcCBCcCcCcCcbcCcCACcacCBCcbACbaADCcdaADdbBbBBcCbbBDCcDcDcaDbcDDdDddCBBbBbdDbcDDdbBbBDdDddadDAadDADdDdDDddDDdDdDdDdbBbBbBdadDACcCcaADbBdadDdDACBbBaAdACcaAaDBbbcadDdDdDdDdDAaACBbcDDdbBdadDADDdDddaADbBdCcadDADDddCcadDdDACBbBBbdACDCbBcCcdBaBCcaDdaAadDdCcDADdDdDdDdaADdaAaAadDdDdDdCcCcCcCcDADdadDdCcCcDdDAaAAbBCdDccdDCCdDcaadCcDADdaAaADdAaDdadDADdadDdCcCcDAAbBcCcddDdDdDdDDdDCCdDdDdDdDdDcCcCdDccCaDdDdDdDdAaadCcDADdaADdDdDdadCcDAadCcDAadCcCcDAaAAaadCcCcCcCcCcDdCcDdCcDdCcCcCcDdCcCcCcDdCcDdCcDdDdCcCcDdCcCcDdCcDdCcDdCcDdCcCcDAadCcDdDdCcCcDdCcCcCcCcCcCcDAACcbAbdaADdDbAaAcCAAADdCAdDdDdDBbacBbCAacBbDdaaCBdddDbBBbBbACdDBbdDBbdDdDdDdDBCDABcCAAaababBaAaAbBAabBdCcDdcbBCBacdAaDdAacCcCAaAaDdDdDDddAacCcCcCAaDdcCcCcCcCDdAacCAacCcCDdAacCAaDCAbcCCcDbBABcCAaAabBbDdadBacdAaAaAaDDdCcdDDdCAaAbBaAaCDdDdcAbCAAaBbADAaDdAadaBbAaAdAaBcCcCbDdAaBcCcCcAaCbBcAaAaCbBbBcAaCbAaBbBcAaCcAaCcCbAaDaBbADDddaacBacdcCDdDDddDdAaAaDDdCCDdDdccCcdAacCAacCDCCccdAaAaAaDCCcCDdDdcCcAaAaAacDdDdCCDdcCcCcCDdDdcCDdcCDdcAbDbBdBbcCDaAABAAaabDdDdDdadcCCABbBbaABbBbacCAADDBbBbBbBbdAabBDdDBbBbdDdDdAaDdDBbddaAaBbBbBbBbAaaAAdBcCbBbDdAaBbDdBcCcAaCcAaAaAaCbDaADbBDdbBddBbDaAdAaDDAaDBbdbBDdDdbBDdAabBbBddDaBbBbacBaCDdDdcAaAaAbBacdAaAaDdcCDdDCAaCcCccDddAaDdcCcCcCAaDdcCAaDDdCCDdcCcCDdccdcCcCAacCcCDDddcCDdDdDDdCAbBbBaCDdDdcCcAaAbCcBacdAacCcCcCcCcCcCDdDdAacCcCDdDdDCcdDCcdAaAaDdAaAaDCAbCAAaBbAdAaBcCbAaBcAaCcAaCbAaAaAaDaaABbBbBbBbacCAaAaAAaBbAdDaaccbdDdDBCBaAaCcCccdDDddAaDCcDdCcDdCCccDddDDdCcCcDdCCccDddAaDCCccdcCDCcDdCAaCDdcCDdDdccCcdAaDCAaCccCcDdDdCcDddAaAacCcCAaDCAbcbdDcaBbbBDDdDbcaaAcCcCAacdbbAAadDdDaBCcaABcCbaABDdbbbCAaaAccCDdcCBAddDDAaddDDddDdDDaBCcbbDaccCBdDbBDdAAbBaaAabcCcCBbCAbAabDbBdBcDBbdCbDdBACbBbBbBbBcCbBcacCbBccCCbBcCbBcCcCBbbBbBACcCAaACcCcCcacDDBbBDAAaBbcCADdDdbBAACcadCdBbDdDcDaacCAaaAcCBCdDcbcCBbcCBDDdBCCdaAaADcAaAdDbDAaAaAcdDdDCcCcCcdDcBbDdCcBbCdDcCcDdDdBbDdCCadCcDAadCcBbBAaaCBaAbcDdAbCcCcCcCcBdDbDAaAaAccCcDdCdDCadDAadCcCcBdDaDDCccCcCcCCcCcBAAaAaaBbbcCCcCcBBbBaAbAabcCcCCcddAAadDdDAaAaAaaAAadDbDdBAaacaAbdDDdBcdABBbbaDdDdDDdCcdDdAAaaABBbdDbaABBAabdDbBdDbaAAaAaaDDdCcDddDCadDAcDdDddAaAAAaaACcCcaaDCbBbBadDdDACDDbaAaAadDdaAaAaAaADAaABBAaAAbBBCcCAaaAcCcCadCcCcDdDAAaadCcCcDAAbBbBacdDbBbbcCcCcCBBdDCadDAcCaAAaaAaAAaAbBacbbBBbaAbBbcCBbBbBbcCBbBBCcdDCAbBbBbBbBaadCcCcCcCcDdDAAacCcdDbbBaaBbAaAaBaAbBdDbBaAdDdDbBdDdDaAaAbBbAaAABdDdDbbBaAbcCcCBaAaabdDBbBBdDbAAaAaAaabcCcCBbCcCcbBCccCddCdadDdDADdaADcAaCccadDdDABbCCccaDdAadDdDAbdbBbAaaDaADdaAaACcDddAcCaAcCcCadcCDAaAcCaDCCACBbcaccaAdAcCadcCBbaAaAaABbBbbBaAcCBbcCBbBbDABbAbBbBDdAcCACcBbCcBbaaaBCdCAbBbDbBADDdcCdDdaCCcBbcbBADAadDACdDdDdDcadabBbBAabBdDADDDACcaAabBbcAaCBBaAaAaAaAaAbBaAbddDDACcCcCcabcAaAaCcAaAaAaCcAaAaAaAaAaCBBaAbBaAbdDbBBbdDACcaAadddabBCCcCcCccADDDddbBdDdDDDAadDbBBaAbbBbBBaAaAaAaAbBbbBbBBbdDbBbBBaAbBbddcCdadBbBbBbDADAaACcCdDdDdDbCcBcabBdaCCcCcBbCcCccdBbDCcdBbDAabBAaCCccAaCcADAacCAabBDddaAaAaCBbcCCcCcCcBbBbcbBdBbBaAbDCcADACBaAaAaADcCdDdaAaAaAbcCdDbCCDdDdBbDdcCcdDcBdDbbBCCDdcdDcCCccCdDCBbccBbCcBdDBDcCcCdaAaADcCdbBaAaAaAbBDdbbbBbaABCcBbCcCCDdBbDbBbBbBbBbBdBbBbDbBdBbDbBdcdDdDCDdccDcbDdDCCabBbBAabBbBAcCBbBbabBbBABbBbccdDCCBbabBABbabBbBbBAaABbBbcCaABbaAabBbBAabBbBbBAccCcdBbDCbBbBcdBbDCbBCabBbBbBbBbBbBbBAcbBcCcCCBbccdBbBbDdDdDdBbDCCcbBcdBCcCaAaAdBdDBbBDdDcCdbbbBbBDcbBbDdDdBbBbBbDCbBcCcCCcCabBAcCBbcbBbBcCbBcCcCCabBbBAabBABbBbBbBbBbcCccCCBbcbBCccCcdDCcCbBbBbBbBCcbBcCcdDCcCbBcCCBbaAcbBbBbBbBcCcCbBcdBbBbDdDCCcbBcCcCbBCBbccdBCcCdbaCcCCccABbBCCBbcCcdDCcCBbccDaAaAcCaAcbBCcCaAdBbDcCcCcCdBcacCACbDdbBbaABCdDCBbBbDbBbBdDdccbBDdBbDdBdDBbbCCBbcdDcDaAdCcbBbaAaCcABCcDcbBCdCcDdCdDcDcCdbBCCcdDdDcbaCCcCccCCcCccABBcCcCBaADcCdaAaAaAaADcCcCdaAbcCdDcCBaAaADdDcCcCdDcCdDcCdbBDcCcCcCcCdbbBBbcCBaADcCcCcCdDdbbbaCcCCccCcABDaAdDcCcbBbDCbBcCbBcdDCCBbaABbBbBbcCBbabBbBbBbBbBABbabBbBbBABbaAcCccCbBcCCBbcbBCabBbBbBbBbBAabBbBAcCBbcCcbBcdDCCabBAccCCcCabBABbcCcCabBAaAabBbBbBABbBbabBAabBbBAabBAabBbBABbcCabBbBbBbBABbcbBcdBbDCbBCBbBbaABbBbcbBbBCcbBCaABbBbaABbBbabBbBbBbBAaAccdDdDCCabBbBAcCBbBbBbabBABbaAaABbBbccdBCcbDCcCcdDCbBbBcCCcbBcdBCcCdBBbbbBDdbBbBCCBbcCDbBdDbBdcdDCBbBbccbBbBCdDdDCDdBbccbBbaCcCcABbBDcbDCcdDCbBCBbBbccCcCcdDdDdBCcCcCaAdCcCcbaCCccCcCCccAaCcAaCcAaCcCcCcCCcCccAaCCccCCccABbBBBaADcCcCcCdbBbbDaAaAcCaAdDaAdDdbaCcABCCDdDbBdcdDcbBBcadaAabBADACbbBCCBbBbBbcdDcbaAaCCccCCcCccCcCcABDcCcbBCaAaAaAaAdBdDbCcCcCCBbBbBbBbBbDdDbBdccDaAdDdCdDCBbccDcCcbDCcCcCCaAccCbBcCCabBAabBbBbBAaAccCCBbBbabBAcCBbaABbaABbaAaAaABbBbabBbBAcCcCcCBbabBAcbBcCCabBbBbBbBbBbBbBbBAabBbBbBABbBbBbccdDCCcCaAcbBbBCabBbBAaAcCaAccdBCcbBbDdDCCBbaAabBbBAccCbBcCCabBbBABbabBbBbBbBbBbBbBbBbBABbBbcbBcdDdBCaAcbBCdDcbBbBbDCCabBbBbBbBbBAccdBCaAaAdDaAcbDdBCaAcCdDdCcCcbBCCDdcdDCDbBbBbBbBdDdcdDCDdDdBbcCccbBBcCbDdBbBdDbCCcdDcBbCcDcCaAcbDCcCbBbBcCCabBbBbBbBbBAcbBbBCabBbBAaAcbBbBCaAaABbcCabBAcbBbBcCbBcCcCbBbBcCbBCaAabBbBABbcCBbccCCccCbBcdBCaAcCaAaAcbBbDCcCCcCabBAaAaABbcCabBbBABbcCaABbabBAccdDCbBCaAabBbBbBAaABbcCaAaABbaAaABbabBABbaABbBbaAabBAabBbBABbaAccdDdBCcCdDcCaAdCdDdDcCCDdDbBdDdBbDdDbBdcdDdDcCcBdDBbcabBACbBdDBbBDcCdbdDbCcbaCcCCcCccCcABbBDcbBbBCcCaAaAcbBbBCcbBCdbaCcCCcCccCCcCccCCcCcCcCccCCccAaCCccABCdDCcdDCcdDCDdDdcCDbBdccCdDCccDcCdCdDdDCcdDdDcCcbBDdBcCcCcaAacCbBcCcCDdACbBBDcCcCcCdaADcCdbbDdDdCdDCBbcCcdDCBbcCDdBbDbBbBdccbBCCBbcdDCBbBbccCCcCDdBbDdcCDbBdccCcbaCCcCccCcCCcCccABCCcdDdDcBBaAaAbbBcCdDcCdDdDBbbCdDCccbBCcCCBbDbBdcCcCBbDdDbBdBbcdDdDdDcCCBbBbBbccBbDaAdBBaAaADcCcCdbbBcCcCcCbDdbBDaAcCdBBaAbBaADdbdDcCBbBaADdDdaAaAbbCcbBCcBdDcaAaACcacCbBDddabBdDADbBDdACdDdDbbaCcABBbDdbBDdDcCdDaAdDdDdDdbBCcBBDdaADcCcCdaAbdDcaAabBdDcCbBdabBADcCbBdDbBbBcCdDAabBbBdaAadBbDCBbBbCcBbCcBbCcBbBbcdBacDcbadbAaCcdDBbAaddDdCbBAaACcCcCcCcabBbBACcCcCcCcCcCcacabDDddDdBBdcCBbDacabaAcCCcBAadDACDdAacBdDAADdAAacCADdDDbBaAaAddDdaaDdAADdDDbBddaAaAaAacDdDdDdCcCADDddDDbBaAdDddaAaabBAADDdDaAddaaaaAaAADdBbbBDdDdDdAcDdDdCADdacDdDdCAacDdDdDdDdCcCaBbDdBdDCDdcdDCcbDdBdDdDbBbDdDdDdDdBdDbaAAcCAaaAcCaDdbBAAaaaAbBaaAABdDbDdaabCAbcCBbbDdDDdbAdDaAaBdBAaACAaAabBbBbBcCAabBACcCcacabDbBbBdDdBBdCAabCbBcBbCCccBccCDdBAAaaAabBAaBbBdDCcdDdDCcBDdDdDDBBDdDdbbdDdCAacDBBDdbBbBbbBbBbdDBbdCaBdDdDcaAaACBbcaDBbaABbBbBbBbdAaACdCcDDddDdCcCddbBbBaADdBbbBDdaAaAbBaADDdDdCcCBbcdBAaAacCbBcCACcacaAaACbaABcaACbDCBBbBaAbBaAbBcCccCCccCcDdDdDdCCbbcCcCcCcdBcaBCcCcbBCcCcbcCACcaAaACAacCbBbBbDDcDcCcCbAcdDCAAAdDBbCABAaACcCcCcCcCcCcCcaAabBACcaAabBbaABbdDdDBbdDBbaAdDdDaCcCbBadDdcCcCbBcCcCcCcCcCcCcCcCbBDCbBcDaAddcCbBcCbBcCbBcCDDaAdBbAaDaAddbBbBbBbBcCDCCBbccdDdcCDDaAaAdDDddBbDDDBbCcdbBbCcCcCcBDCcCcBbBDdbCcaAdAaACcCCaAaAaAccCcCAaCcCaAaAaAccCCaAcABDcCBbAadbBDcbBbBCBbcbBbBbBbBbBCcCAbCcBbbDdBBacCAaAbCcBaBbAbBaAbCcCcCcBbBbCcCcbBBbCcCcBaAadbaABDdbaCaAaAcAacCAacCcabBDCcdDddaADDaABDBCcCcCcCcCcbdbddaADdDAabCcBDaABDdDBbdDdbaACcdDaABDBCcbBbBCcCcbdbdDBbBDBbdbaAdAaACcCCcCaAaAaAcCcCcCcAaCaAccaddBBbBBbBbBbbbAcCbBadbBbBDBbAcCccCAaCadcCcCDDdCCccCCBDdDdAaDdbccBbCCcbBbBcCbBbBbBcAcABbdDaCcABAaAabdDdDBbBbdDBbaAaAdDaCcCcAdDdDBbaAdDaCbBbBbBadbBbBcCcCbBcCcCcCbBbBDCCccCcBBbbCCccCCBAaAabcbBCcCBDdDdAaAabBAabcCBAabcCBDdbBAaDdAabBAaDdbccdbBDCcAcABbaAaAdDBbBACcCcabBbdDBAabaCccBbdDDdCcDdDcCdCcCCaDaADDBDBCcCcCcCcCcbBCcbBCcCcCcbBCcbdbBbaABDBbBbBbdbdbBdDAaDCcCcCcaAdDaACcdbBAaddAaBbAccDcbBCcbdDDaAaAaAdBAaCddDdDaAaaCcCBaAbBbcacDBBDAadDAaAadbBDdbbdDdDddDCADDddAaCBaAdDbcDDaDCaAcdAAadDAaAaaDCaAcCaAaAcdDCaAaAaAaAcdAaAAaddAAdDaAaaAADcbDaAaAdDdDaAdBCdBbdDBbCCadDdcCDAccBbBbdDaaAABbdDdDDcCcABdDbBbDdaADdaAaAabdDdDDaAddDBABdcCcCDbaCdBbdDBbDcCcCdBbCAacaaDdDdaaBbAaBcaDbBBbaABbaAdAaACcaDdDdDaAdAaACDdBbBbdDDCDCaAaaAAaAcCaAcdBBbCaAdAaBbAaAaDaBbAaCbabBbBbBAaABbaABcCcBbBbAcbbBcdBaBbBaDdadDAadDAadCcDAAaDdDdDdaAadCcDADdDdAbBaDdAaDdDdaAACcaaADdaADdadCcDAaAACdDccdDddDdDdDdDdDDCaAcdDCCdDdDcaDdadCcDdCcDAACdDcbAaBcCbAbcaDdDaABbBbdACDCDCcdcCbBDCaAcdcCbBcCcdDddDDdDdBaAaBbBcCcddDdDDddDDCcCaaAAcdDCCdDccddDDddDdDdDDdDddDdDdDDddDDCCdDcbBaAbAaAbDdcCDCbBBbBBbBbCaCcCcBbCbaABbabBAabBbBABcAaAdAaDaAdAaAaDcCcCaCcBbBbBbCcBbAaCcAaBbCbaAaABcBbCbBcAdAaAaDdBbBbAaAaBbDcBbbcCbBBBbBbBbbcCcdcCdDbAaAaAaBcaDaABbdACcaDaAaAdAaDaABbaAdAaACcaACcCBaBCdDdDcCdDdDdDccCbBCdDdDcCcbBbAaAbdaADcaACbBdDcCdDDCBCaAdBbDaBbCcBbBbAcbDdDdcCDCcdDdbBcCcdBbdaaAaDdcCdDcCDdAaaAdDaAaAcbBBbbBbBBbCdDdDaAAaAACcDbBdaADcCBbdDBaBbAaBaAaAaaAaAadCcCcDAAbAaAaAaBaAbAbbAAAaaaBDCDdbBBCaBbAaCbaABcCcAdAaBbAaBbBbDaAcBbbBBbBbbDCaAaAcCaaAAcdBBbCaAdDcBbCaBbAdDdBbBbAaBbDaBbCbabBbBAabBbBAaABbabBAabBbBAaAabBbBbBbBbBbBbBAaAabBAabBbBAabBABbBbBcCcCbBcCcBbAdDaAdDdBbAaAaBbAaAaAaDcBbBbCdAaBbBbBbDdAaBbBbAaAaDdBbDcbbBDdDCaAaAcCaAcCcdcddDBaBCdDcaAaaADdDdAaadDdDAaAadDdDADdACdDcCdDdDdDcbAbbAAaACcDDAaAaddaAacDBbdDBBDdbbddDDdDdCAaaAcDdCaBbBdCdDddBcaACcacCcCcCACcacCBbACAabbBbBBcaBbcCcCACcaAaACAacaBbACcCACcacaAaAaAaACbDCcDddbBbBbBBAabBcCAabbBBbbBaABbDdDdBbbBDDcaacCDdDdcBbBbCAadDDddDaAAaAadDDdAacbBCaADdDdDddDdDcBbCdDdDdDcCDddDaAaADdcCdDAAaaAADBbBaBcCcdDddDDCcCcdDCCcaadDdDdCcDdCcDdCcCcCcCcCcDdCcCcDdDdDdCcCcCcCcDAaAaADdAcCCdDcbBaDdAcCaDdAaDdDdaAaAAaaADdadCcCcCcCcCcCcCcCcCcCcCcDdCcCcCcCcCcDAAaadDdCcDdCcCcCcDdCcCcCcCcCcDdDADdDdDdadCcCcDdCcCcDAaAAaDdAaaAadDdDdDADdAaaADdDdadCcDdDdCcDdDdCcCcCcDAaADdDdDdaAAaadCcCcDAaAadCcCcCcDdDdCcCcCcDdDAAbAbbAADDdDAacCcCaAdDcCAaaAaAddCcaaBdCddDdaAbBbBaABcCcaBCcCcbBCcCcbBbBbBCcbcCBCcCcbcCBbACbDDcaaAaDdAaDdAaDdaAaAAacbBBbbBbBbBbBBbBbBbbBCaAaAAADdDBaBbBaAaadDADdadDADdadDdDAaAACdDdDdDdDdDccCaadCcDADdadDAACdDdDdDcCdDcbBcCCcaadDdDdCcDAadCcCcDAAcCaadCcCcDdDADdDdaAAaAaaAaAAaDdDdAaAcCCdDccdDdDddDdDDddDDCcddDdDdDDCaadDdDADdDdDdaAAbBCccdDCaDdAbBCdDcbBbBaadDAaAaAACcbBaaAAaAaDdadDAAbBcddDdDDdDCCdDcaDdDdDdaAAaadCcCcDdDAaAAbBbAbdDdCcaaAAaaDdaAcBbBbCDdDdDdcCcbBBbBbbBCDdaAdDDddDAADBbdaaDdDdcBbBbbBCDdAAaADdDBaAbDdbBBaAaAbBaBbAbBbDCcCDdDCaAaAcdbBBBbCaCcAaCcCbaAabBbBbBbBbBABcCbBbBcAcbbBcCcCDCcCcdBbcddCcDDCbBBBbbcCBbBBbbDdbBbBbBcCBbbBbBBBbBbbBBbBbBbBbCdDcbDCcdcCBBbbcdDCDdDdBBbbbBbBbBbBcddCdCcCcdbBBbbBaABbDCcdaAbBBbaAbBbBaADdbBDCBbBBccDdCCaAccDdCCaAcCbbBbcdDCBbBBaAcCcCaAccCCbbBBbbBBbbcdBcaAaBbcCBbBbBCcCcbAaAaBbAaBCcbBbAaBCcCcbACbDCcdbBDDdCcCBbcdDdaAbBbBbBBcaACcCcacCAaBbBbBbACbDCBbcDcCdDcaacbBBbCcBbCAADdDDddaaAAaaDdcCcBbbBbBBbBbbBBbBbCAacCcCcBbbBCAaDdcBbbBCaAdDcbBCcCdDdDDdAaAadDcCaAcbBCDddDAAaAaaAaDdAaAaaAdDAAaaAacBbCdDaAcbBbBbBCDdAACcCcCdDcaADDCbBcCbBBCdBbDaCcCcAcCdAaDaAcCaBbBbBbBbCcAdBbDdBbDaBbCbBcBbAaAcCdDdAaAaBbDaBbCbabBAaAabBbBbBbBABbaABcAdBbDaCcAaBbAcbBbbBDCaAaAcCcdcCbBDdbBbBcCBbcdDddaaaAdDcbBCdDcbBCcbBbBCdDdDAaaAAaaADddDdDaAcBbCDdcbBBbBbCAaAADbAaAaAACBaAbBbcCcaACcAaDdAADcbBCdaaacdcCbCcdDaAaAdDaAbbddCcCBBCcCCaAAaccCCccbbBbcaADDDdddDDBAAaAaAadDdDdDabCaAbCbdDDDdDdDddbAAcDAAAcCcCaaAdDDCcddDBBCBbBbBbAaBaAaAaAbBbAaAaAacbbAcCcCcCaDCcddDAcCaaadcCcCDACBbBbcaACcaACBbBbcaACBbBbBbBbBbBbBbBbBbBbcaACcaAadCdCcdaAaADdDCcDdCcCcDccCCBbBbdCABAaCCccbBbacdacCAaAaAacCADCcdDCADCaAcdDCaAaAcdacDcDdcCDAaAadDACBbBbcAaAdDBbaAaCBbBbBbBbBbcCcaAABBCBaAbAacCcbbBbdDDCcCcddcCDAaBBbbaCBbcADCcdaCcaAadCddDDcCBbBbdDaaaABdcbBdDbBbBdDCaADbacBcBbBbCcBbCcCcCbaAadBcCadaABbDAadcCDAbBaAcCadBbaAcCDdDdBbaCCcBbCcCccCcABbcCBbaADdDdDdDdaAaCDdDdCcCcCcBbBbBbcAaABbcCcCDAadaCDdDdcCDdBbCccADdBbBbaAaADdcCaCDdBbBbcADAcCbdDBcCaAaAadBbaCDdcCCccCBbcCBbDdBbcAaCDdcABbDdcCcCcCBbBbBbBbaCcCcCcAaADdBbBbDdaABbcCBbcCaADAbCCBdDbcCcaAadCcCcDdDAadCcCcDACccCCBdDbBbcaACBbBdDbcCBdDbcaACcCcCBbBdDdDdDbBbccBcCcCadDAcCcCaAcCcCcCcCbdDBbDdBbDdCaAaAcDddcCcAaAaCcCcAaAaAaCcAaCcCcCDCaACBbccCcBbBcCcCaAbDDdcCACABBbdDDdbAaaAaABDDdDddbBBcCcBAaAacBbCAabCbBCCaAbBaAcdDccBcBBCcaACcaAaACcdDbAddDDaAdDaAAadDAaaAabdDdDdDDbcDdcCcCcCCcDdDdcCCccCcCcCCACACcacacDBbBbBbdCbBcCACbBcDDAaddCbBcDDBcCDAADdDdaBbadbdDAaddDDCbCcBcAadDBaAcCDAcCaDaACCcCcCcCAaBaAbccdABCcbAbBbBAcCcCcCdBbDdBbCdBbDcBbBbDACcCcCcBbCcCcadCcDACcaabBDdDdbBDdaBbAbBaaDdAaAAAABbBbBbBbBbaABbacCabBDdbBacCAAACcCcacCAaAacCdDaDdaaAAbBacCAbBbBbBbBAaAdDaaaDdAaDDdCCcCADdDdaccdABDBCcCcadDDdAcdDDddDCBDddDbaDdDdACAbDAccDdCcDdBbBbBbDdCcBbBbCdDdDcDdBbBbCcDdDdDdBbDdCCcdDcDdDdBbDdBbBbBbBbDdBbCCaAadCcDdCcCcCcDdDdDAadDAadCcBbDAccCCaAccBbDdBbDdBbBbBbDdDdCCcCccCCccBbBbCdDcBbCdDdDdDCccCcBbBbCdDcDdDdBbCCcCaAccCCaAcCaAadBAaAaaDdDdAdDbCcCcDAaAaAadCcCcBaAdDAadDaAbBAaacBdDdDDdbBDdDdDAAaaAAdDaaAcBDdbcCcCBDCcAcCaCcAaCcdbBDAcCadDdbCbBadDAcCbBbBaAAdDacBDCcdDdbcCBbBbBbBbcCCbBbBAaaddDDAbBaAadbcDdCCcCAaAAadDbBaCBAaAaaAbdadDADBaBBbdDbBBbdDcCBbdDcaACdDcaACbAaBdDBbcCbBbAbcDDbaABbaABdDbaABbaAaAadaAaADdaAaAaADdaAaAaAaADdDABCcCcddCcDDbBbadDdaADdaADdDdaAaADAadDAadaADAaABBbbaAadDAadaAaAaADABBAaBaAdDdDdDaAdDdDaAdDaAaAaAdDdDdDbBdDaAdDaAbbBbddCBbcCdaADcCdDdadDdDdDAadDAadDADBaBbBcaACcCcCBbbAbcDDcCCccCCcdDbBCcCcdDddDDBbddAdDAadDAaAaAadDdDAaAadDdDdDAabBaccdDCCCBbBACbBCAaACcacbBcADdDdDdDdaADdDdBbBbaaaBcaACdDcaAaAaAaACBbBbbBdDdDdDdDcCcCcCdDBbdDcaAaAaAaAaACBbbBBbcCbAbccaDdACDdcbDdBbBBDddDdDDAbBaAccCCAabBcBbcCBbcCCcBbBbBbcCBDCcCcCcAcCcCadbBbBDdbCAdDdDdDdDdDdDdDdDdDdDdDdDacCaAadDAAdDacBbBDdbCbBadDddDDAAaAabBcCbBaddDDddDDdDdbcCcDdDdDdDddAaDdABbAaBdDdDbBbaAaABBAabdDBAaAACdDdDcaabdDdDbAADCcbBbBbBBbBbCcBbCcbBCcbBBbBbbBCcCcBbCcbBBbBbbBBbdaADCcBbbBdDCcCcbBbBdaAaaAaAaBdDBAaAaABbaAACcaaAACdDdDcCcCdDdDcaBbabbBBbBbdDbACcAaaaDdDCbBcdDCCAbDAaAcdDCaAccDdBbCCaAcCcdDcBbDdDdBbDdDdDdDdDdDdBbDdDdBbCdDcBbDdCCcCccCCcCcCcCcCccDdDdBbBbDdCdDcBbCCcCcCccDdBbBbCdDCaAadDAadBdDacbDdDddDBCAbDdBAadDdDdDdDAabBaDdDdCdaAadDAaADBbdaAaAadDAadDdDdDADdDBbdaADdDBbBbdDBAabcAacCcCCBAADdaaaBcCcaAaACdDdDdDcaACcCcCcCdDdDbBcCbBdDcaAaAaACdDdDbBBbBbcCBbdDbBbBdDbAAADdBbDdBbBbaADdDdDdDdDdDdBbBbDdBbaabdadDdDAaAaADdadDdDdDADBbdaAaADdDdaADdadDdDdDAadDdDdDADdaAadDADdadDdDdDdDADBbdaAaAadDAaADdDcAdDaccCadDdDdDDddDdDACccdDdAaAACcaACcaBdDBbBbbaDCcDdCBbadDDdDdDddDDdAadDDdABbbdDdbBbcCcCcCBCcDBaDdABDAccCBDCcCcCcAcCcCadbCcCAdDdDdDaadbCCdDBaBdDdDdDBbbAbdDdadDdDdDADBAabcAaCcCBbdaADcAbDdBaCBbdadDdDAaADcAaCBAaaBdDdDcaACbAaBBbdDbAaAaBcCBbcCBbdDbAbBaBbAAAaaAaaBcaACbBBbbBbBcCBbbAaAbBbBaBbBBbcCcCdDcCBbcCcCBbcaAaACBbcaAaAaAaAaACBbdDcaACdDdDbBBbbBdDBbdDbAaBdDbBdDcaAaACdDBbcaACdDBbbAaAbBAaACCBbBbACcCcaBbcbBCACcCcCcCcaBbccaACCBbBbBbBbccCCcCAacCAaBbAacCACcaccABbDdDdDdBbBbBbBbDdBbDdDdDdDdBbaAaabcCdDBACCccaAabdDcCBbcAbBdDAaacCccdDdAaDDddDdDDddAaDCcdABbaABBAaABbBbBbAaaABbabbBbAADdDBbddDDbBCcbBBbBbBbBbCcbBddCdDdCcDcbdDBCcbBBbBbbBbBBcCcCcCbDaCcaaAAAaaAaACcAaCcCcaaAaDDdCaAbBadDdDAcCBbbBcdABBbBAaAAaACcCcCcCcCdDdDcCdDcCdDdDdDcCcaaAAaACcCcaaAAaaAabbBbACcADCcCcBbdDbBBbbBBbbBbBCcbBBbbBCcBbCcdDBbdaAdbBBbBbCdDcDDCcbBbBCcCcddCdDcDdbBbdDBBbBcCcCbBbDDbBBbBbbBbBBbCcdaAaCcCcaBbBbBbBdDdDBbdDBbdDdDdDbaDDdDddAACcADddBbbdDBCcCdCcCcCcDdCcCcDdCcCcDdDdCcCcCcDdCcDcbdDBCcBcCbCcCcDdBcCcCcCcCbbdDdDdDBBbDdbdDBBbBbDDBbCcBbBbCcddDDbBBbbBbBbBbBCcBbbBCcbBdDCcbBBbBbBbBbbBBbCcCcBbBbddBcCcCcCcCcCcCcCcCbCdDcCdCcCcDcCcCcBbDaCcCcAaAaaBbBBABbabbaDdABbBdDBAACdDdDdDdDdDcCcCcCcaaABbAaBbBbAaBbBbACdDdDcaACcCcCdDcaBbBbabBbdDBbbaDdDCaDddDABdDbcCCDDCccCddDdDdCcCcCBbdaADcCdadDdDADBaBdDBbBbBbcaAaAaAaACbAbdaADBaAACcCCBbACcacbBbBCACcaccCbBbBbBbBbBcaACbBbBbBbBCAacCAaBbccCCcCACcCcaBbBbBbBbBbBbcbBCBbAaccCcCcCbBcCCBbccAaCcCbBCBbBbAacCAaBbACcaBbBbBbBbccADdaCcABbaABbaADdBbBbaCcCCccCcaaAbdaADBAAaCcCbBcAaaACcADdaCbBbBcCbBCBbccabccbBcCadDAcdDdDDddAaAAAaAdDdCcBbDdDdbdDdDdDBDaADdDCcbBCcdaADbBddBcCbBcCcCbDDBbdDCcBbddCdCcCcCcDdDcbBCcBbCcDdBcCcCbCdDdCcCcCcDdCcCcDcbBDdDdDDCcCcBbddDdbdDdDBCdDdCcDdCcCcCcDcCdDcbBDDbBbBCcbBbBddBcCcCcCcCbBbBbDdCcDdBbBcCbCdCcDdDdCcDdDcCcDdBbbdDdDBBbbdDBDaAaCcCcADCcbBdDdaADddbBBbDDCcBbCcBbddbdDdDBCcBcCcCcCbCdDdCcCcDdCcCcDdDcCcCdCcCcDcbdDBCcBbDDdDdDbBbBbBCcbBbBddDdbBBcCcCcCcCbbdDdDBbBbdDdDBbBDdCdCcDcbdDBBcCcCcCcCbDdbBbBbBDaaBdDbaDCBbCCdaAadDdDdDdDdDADdDccBbBbbdbaAADdDdbBbBacCAAAacCcCcCdCdDdBbDdBbBbBbDdDcCdDdBbBbBbDcBbCdDdDdBbDcCcCdDcDdDcCdCcBbDACcacCACcCcaaAdBbBbDaacCcCBDDdBCcbBbBbBBbBdDDdDAbBadbbBbdbadaAbBBbBbaABbcCcCcCbAadDCbCCcDdDdcCCcDdCcCcCcDBbBCcbAaBCcCCcCBbccCcbBbBbAadcBbCCcCcCcCcDBCCcCcCcCcCcCBbcCccCCccbdDBbdcCcBcBDdcCBbcCcCaADdBbcCBbDDdDaADdCCccddaABbbAaAaBcCBbaAcCaADDCCBbAaACBbBbBbcCcDcCdacCBaAbBbcCcCADdaAaccDddDDdCCACBbBbBbcaBaBcCDaBbAdDdbBbBcCcCcCcCcCcCcCDdDaBcdDCbAaAaBbAdcCbBcCcCbAaBcCDdcCDaAaAaAaAaAaAdcCcCbAbcCBbACcaBaAaAbADdCBbBbcaBbcCAaccaAaACCBaBDaBbBcdDdDCbAdbBbAaBDaAaAaBcdDCbAaBbAdDaAaBcdDdDdDdDCbAdcCbAbACBbcDdCcaccaAaAaAdDDdDdDdaAdAaDCCACcDBbdDBbcCdacCccCCBbBbBaBbBcCDdbBbAbcCcCccaADdDdCCACcCBbBbcaAaBbBaAaBDdcCbAbccaACCAaADBbBbBbdDcCcCcCdDdaBbADBbcCBbcCdDBbdCcaAaAaACBbBbcaccdAAacCBbcCcCBDDdDdBBdDbaDddDDdDddDdDdDdDAaAcCCCBbcDDbadDdaADAaAadDABcCbadDAadDAaAaABbaABCcbBbadaADABBBaAdDaAbBdDbbddDdCcCccBDdDAaAcCaAcBDCcdDAadbcCcCCccCCaAaAAdDacCcBbBDdbcCcCBDAaCcCcdbBDAcCcCcCadbBDAaAadbCbBaddDDdbbdDDddDDddCaAaaAAaaAaAAcDBBbcCaDdDdDddDAbdbcCaDCCBbBbccaACCccDdCcaACcaAaAaACcCCccddbAaAaAaBcCDAadaAcCbAaCbBbCCcDAadcCDAaAcBDdDdDdbBDdDdbCadCcDAcCcCcCaAaACDaCcAbBbDdBaCcCcCcAdDdcCcadDdcCDBbBCcCcbBCCBbBbccCCcCBbcCcCcCcCcCBbcCBbccbAcCaAadDBCCBbcCcCcCccCcCCcCBbcCccbAaAcCCDbDdDdBdDdDaCcCcAdcCccCaBCCBbcCcCBbBbBbBbcCcCccCcbACcadCcDdcBcddDdDdaAaBddbBdaBbBbBbBbAaADdaBbACAaAacCBbAAAaBbBbBbBbAACcbBaaAAcAbBbBbBbcbBbBbBbaABCcCBbBbBbcbBCBaAbBbcbaABCBbBbcCBaCaAaaaABCBAaAabBAaAabBbBbBbcCBbcCBbBbcbaaAAAaAAbBaaBCcbAAcAaAaCbBbBbBCccAaAbcCcCcbaAaABCcbBbaAaABCBbcbBCcCcCcbBbaAaABCBaCCcbBaACcCcCcaaBbAAcCbBaaAaBbaAaaAaAaAaBbAAAaaaAAaaAAAAaaBCcbaaAABCBbcCBAaAaAaAaAaAaAaAaAabBbcbaaAABbaAAACcaaaABCBbBbBAaAaAabBbBbcbBbaAaaAaAaBBBAabbbAAAAbBbBaaAaBCcbAACccCcAbcbBbaAaABCBbcCBaCaACcbBbBcAaAaCaaAACcbBCccAbBbBaAbcCBaAaAaAaCbBcAbcbaABCBaCbBaACcbBCcaaaaAAaaBBCcCCcCaAaABCBbcCAAaaaAaADCbBcCbBaaaAAaaAaAaAadDdDdDdDAAaaAAAaBbAAaAAaAAaAaAcCcCcCaAcCaaaABcCbAAcCaaAaBbabBbBADbBdAAcCcCaaAAcCcCcCaAaAcCaaBbBcCcCcCcCcCcCbacdAaAAaAaAaAaAaaAAaAaaBbcCAacCBbaaBCBDaBbaDdcCDdcCABcCbBcCcCcCcCcCcCbBcCcCcCcCcCbaDdDdDdDdAabdDBcCbBbdDBcCDdABcCbAaBbAcDcCdCaBbaDdbdDBcCbBAAcCaBcCcCbabBbBbdDBDdDdAabdDBbdDdDdDdDdDdDdDBbdDBbdDBDdbdDBbdDdDdDdDdDdDBDdABbAdDaBcCcCcCcCbacCAAaaDdcCDdcCDdcCbdDBbdDBbBbdDBDdAaDdAabdDdDdDBcCAAcCaBcCbAaAdBcAaAbBbBbBaAaCcCbBbbBBcCcAbBaCbBcCbBbDaAcDcCaDdAcCdCcCaaDdDdDdAAdDdbBBbBbBcCbDdbBBbDaabBbdDdDdDdDBbdDdDBDdcCcCDdcCbBcCAAcDaDBbdDdAcCaAaAcCcCdCaaDdcCAAdDdbcCcbAaBaBbACcaAacbBbBCcCBbBbBbBbACBBbDdbcCBbcaAaDdAaBbcCcbBbBbBbBbBbBCBbACcbAAAAaAaAaaBbDDdDdDabBAabBbBAccCcCbBCaAcbBbBcCcCcCCcbBCccCbBCabBbBAabBbBAccCbBCaAaAaBDdDdDdbBbAddcCcbaAccbbAABbaAAAaaaAAAcAbBaAbcCBbBaCCcaaAACcaAcAbcCBaCbBbBCcCccAbcbaABbBbBbaAaAaAaAaABbBCBaCbBbBCcCcaaAAbBCccAaCbBcCCcCcbBCccAbBbcbBbBCcCcbaABbaAaABCBbcCcCBaCbBcCCcbBaAcCbBbBCcbBaaBCBAaAaAaAabBAabBAaAabBbBbcCcbAaAaAaBCBbcbAaaAaAAaBCBAaAabcbBCBAabcCBbBbBbBbcCcbAaaAAaBCcbBbaacDdaBbADDCcDdDdBAAadDAadDAaddDDAaddDDAaAadDAaAaabdbAaACcCcCAbBaCcCcCBbdAaAaAaCBbcaACBbbDdBbBBAabBbBbCcbDdBcaADcAaAaccdBbBAabDdBAaAabBbDcCcCDbaAacdDdbBbcCBbcCBdBbDdBbDdDbcCBdDbBdDdBbDDdbcCBdBbDdDbcCBDCABbaAacddDbBDCAacdbcCcCcCBDCACcbBBdDbCcaAbBbccCcCCBBbacCABddBbBAaAabbAaCcBBAaAaAabbAaBbBbBbBDCCAaCdAaCbBcaADdAaCCcCcCcbBbBCccAaDBBbBbBbBbBbbdDBbBBbBbbdCcDdCCcCcCcBADdAaaAaACBbBAAcCCcaaABCcCcbabcAaabBAAaDdDdAaaADBbBbdDdAaCcDdCBAAcCcCaabcaAAaCcaACBbBbcCBABCcbBbabcaADdaAAaabbDdBBAAaCcAaaAabcCCcBbbDdDdBcAaCCcCcbDdBcaACbDdBbBcDccCCccaBbAaAccCCccCdbBbBDdbAaBDDdCaBDDdBBaAbbddaACBBbBCcCCaAaAAacCcCAaaAaABCAAaAaAaaBCBbBBbDDaAddBbAaDDaAaAdcCDdDaAdcCdBbAabBbBAcCaBbAcCcCcCabcCBBbbBbcbaADCaaaAaAadDAAaABbAAAAaaAAaaDdaAaaAcDabBAdCaaABbaadDdDdDdDAABbAcDddBCBDcCcCcCdbBbBbcCBAaAcCabcCBDdBbDdBbbBbBAcCcCabBAaDdDDaAdDdDaAddBbBbDdbcbDCaAcDaAaBbAdCAAaBcCcCcCbDdAAcCaAaaDdaAAaDdDdacCaBbaAAbBcdAAaAaaAAaAaacbccbbcDbBbAaAcDdcCCaAcdDcCdDcCcCcCCccCCaBbBbAcdbAaCcAaBBbBAaAaAabbAaBDdbBbCcBDdDdDDbacCABdCCcaACCdDcCdAaaACCccAaDcAbAbBaAbBacCAaAaAbBbBbBaBbcCAbBbBbBbBbBbBbBaBbAaBaccdBAaAabbBBbBAaAaAaAabBAaAaAabbAaBbAaAaBBbbBBAaAaAabDDbCcBbBdcCCaAaBbBdaBbBbAaAaBbBbBbAaACAaAacCcCcCBbBBBBbbCcbbAAaABCcbAACccAaAaAbBaCaAcCbBaaAaaAAaBCBAaAabBAabBbcbBCBbcbaaAaAAaaAaAAAAcCbBcCCccCCcbBbBCccCCcbBCcCcaaaaAAAaBCcbBCcCcCcbaAaABbBCcbBCcbBbBCcbAAcCaAbBbBCcbBbBCcbBbBcAbcCBbcCBaAbcbaAaABbBCBbBaAbcCBaCCccCcCaaAAaaaAAAcCcAaCCcCccAaCbBcAaCbBCcCccCCccAbcbBbBbBCBaCaaaAaaAAAAbBCcCcaaaAaAAaAAcCaAaaaaAABbBCBbcCBbcbAAcAaCcAaCbBaAcAaAaCaACcCcaACcaAcAaCCcbBaAaaaaAABbBCcbBCBbcbBbBbBbAaAaaacaACAaBbcDdDdCcDbAcDdCaBDcCcCcCDaDbCbDdbBaAaABcBaCcCcCcCcAdAbbDdBcDdCACbBbBbBcCAabBcacCBbADdaAaBdBbcCBbdDBAabcCBAaBaAaAbBBcddbBbBaCBbcAbBbBbbDdBBbBbbDdBbDdBBbBDdbbBBbbBbBbBbDdBbBbBbDdBbDdDdBBaAaAbBbBbBDDBDdBCcbDdDdbaAaAddaCBbBbBbBbBbBbBbBbcAaCcADDBDdbBbddDDdDCAAaAaabBDdAAaAaaAAaAaAaaDdbCcbbCaAbCCdDCCDbBaAbbAaBbBbBBdAbAaBaAbAaAaBdAaAcDcCcCdCBDdAdDcCdDdDaAdDabBAabaDbAaAaAaBdDaAbBbBaDdcCDaAdAbBaDbbAcCcCcCaDdBBdcaACcccbDDdDdDdddaAadDADbAABbdCADCcdBCCccAdBbcaAaACcCDaAdcCCADDCcCcCcdDdDdbBbCcBDdDdbCaDdDdDdDdAdDdDdDdDcBDdDdbBbBbCdDaDdDdDdDdAdDaDdAdDdDaDdAcCcBbCaDdDdDdDdDdDdAaAdDcBbCdDaDdAaAdDaAdDaDdAdDdDdDcBdDdabBADbCcCaDdAcBDCcddDdDdaCccDabBCcbaAaABADBbcAbCcBaAdcCDdcCDdDdDbCcBdcdbcCcCcDdDdDdCcDdDdDdDdCcDdDdDdCcCBbCcaAcCBDCDdcCcCcdbaABbCccDdCBbCccDdDdCCcaAaAaAcCCCcCccaACccDdCCcBbCccCaAaABDdDdbBbBDdbBDCDbCcBdcdbaACCcCccBbBDdbaAaABDdDBDdbdDCcCDaCBbcCcCBAdDdDdDabBAaAdDaAaAdDaAabddBbDDddBbDdDdBbBbBbcCCCcCBbcCcbBAaCcCcADDddDDdDdbBDddabBcCbBbBbBAabBCcADDCcCcCcCcdDddDdDbCaDdAcCdDcBDCcdDCcCcdDCcCcCcdDCcCcCcCcdbBDdbCdDdDdDaDdAaDdAaDdAcBbCdDaAcCdDcCdDdDaDdDdDdDdAaAdDdDaAdDcCdDaAcBdDdDdacCCcCcAaAabBCccDabacCcDaABbaCcAcCddDCAdDDCcCaAcCcddDaAacDcDACBbBbBbBbcaAaACBbBbBbBbBbBbBbBbBbBbcaAaAadDACBbBbBbBbBbcABBCBbBaAaAaAaAbAaBbcCcCBaAbcbBbBCcCBaAaAaAaAaAbcbBbbAcCaBbDdAadcCcCDdcCDdDAadDDddDdcCcCcCcCcCDaADdAaaAaCcAdDBbDCcCcCcdaADddcCcCDAaaAAaBbDdaCcCBbBbBbBbBbcaAaAAdDaAdDDddDDdaAdcCDdcCcCDaABbDCcddDBBCBaAbAacCAaAaBbBaAaAaAbcbBbbaCBbcadcCCddDCcDddDDccCDdcCCaaBBcCbdcbBdDdDdDCadDAaADdcdDdDdDdDdDdDdDdDCcdDbcCcDdAaDdCcAaAaAaDdDdAaDdDdCBCadDdDdDAcCcbcAaAaAaCBdDbBdDdDdDdDbcDdCBbcAaAaDdDdDdDdCBdDbcCBdDCadDADBbBCdDCbdbBdDdDdDdDbAdDdDdDaCdDcAaAaAdACAacaACDdcBbCcBbBbaDdACAaAaDdcaACcCAaDdAaAaAaAaDdcaDdDaCaDBbdAcAaBbCcBbCdDaAcBdDbAaCdDdDdDdDdDdDaaADBbdaADBbdaAAaAaDBbBbBbBbdDBbBbdDBbBbBbBbdaAAdDdDaaADBbBbBbdDdaaAaAaAADdaaAaAaAADdAdDdDdDcCaDBbBbBbBbBbBbBbBbBbBbBbdDdAaDdaaAaAADBbBbBbBbBbdAaAdDaAaAcAdDaCaaAAcBaADdaADBBdAaDdCdabDdDdBABAaABbBbBbBbBbBbBbaAaAaAababDdDdcCaaAbBABABbBbBABbabDcCdBcCbDdBbDdBbBAaAacCcCbDdDcCdabcCabBADdcCaABbabBADdaAcCcCBbDdDdaADdDdBbBABbabDdBbBbDdcCBbaaBbBbAbBAcCDdDdBbDdabBAcCBAaAaABcCAaABbababaaAaBbAbBbBaAbBaBbBbAaAABbDdBbDdBbDdaaBbAaBbBbBbAbBADdcCabBAcCcCDdBbBbaaBbAaBbBbAADdBABABbaAaABbaABbabBcCcCAabDdBAaABbabDdaABbabBAabcCcCaaBbAADdBbBbBbaAabBbBaBbBbAbBbBABABABbBbabDcCdaABcCABbBbacCbDdDdDdaADdDcCcDdDdCcDBbDcCDbbBAabBbBAabBAabBbBBdAAaAaAcBbBbBbCcCaaAAcBbCaAcCcBbBbCaAcCcCcCaadDddCdaAaABcCcCbBbBcCbDcCdDcCcAaDDcCDbaABbbBaAaABCAAbBbBaBdDdDdDdDdDbaABdDbAaBdDbaAAaaAaDBbdaADdaAcdcBbCDCAAbBaBbAaBdDbBbBbAaAbBbBbBbBaBbAbBbBaBbBdDdDdDbBdDbAaacdDdcBbCdDcBbCAaddABbBBAabbBbaDBbbcdDcbDddcbBdDbBdDCDdDBbbAaaAACcDDADdDdadDADAcCcCcCaCcCcAadaCcCcABbaAaCcADAcDdDdDdDdCaCcAcCaAaAcCcDdDdCaCcCcdBbDdBbDdaCcddABbBbccCDdcCDdcCCBbBbcCaaaCBbcCBbBbBbcAAABbaDDCcCcAaCcdDddAcCcCcCBbdCAdDDdBbDCcdaAaADCcCaAaAcddDBbacCADdDCcCcdDCcCaAcdaAacDcCaaAABbdCADCcdDCaAcCcdDCcdaAaAdDdDacDBbaaaABBcBcdDDbbDDdbBdDdDDdbBDdDdbBdDbAdDdDaBbBdDDdDddDdBbDDdbAaAaBDdDddDbBbAdDdDdDdDaAaBdBcDBcCcBbCbdDdCBddbBbBDDaAdcCCadbBCCDdccBbadDdDdDdDdDdDACCaAaAdDBCaBbBbAcbdDaAccbBDdDdadDdDdDAbBBbDAAabBbBaAbBcBBCcaACcCcbBdDbBbBbBBbCcCcdDBbaAdDCcaAbAAaaAaBbbdDCadDdadDdDACCcCcCaADddDaAcCDdDdBAaCcbdDdDBAaAaCaBbBbBbdDBbBbdbBcCDdDAcCcAabaAcCccCCDdBCCDDdDBbdbBdDDBbBbddcCDdccCCcCcCDDBbBbdbBbBbBbBdDdccAaAaCaAcCCcCDbBdcCccAabBbccadDACCaAaADdccBbBBCcBbCcCcBbBbbBCcbbBbCcDdbBCCccCCBCaAaBaAaAbdbBbBbBcCDAadcCbBcCCcCcbBCBAabBAabcCBbcbBCBbBAabcDACcadDAaBacCcCdaCbBcBbAaCbBbBDdbBbBDdbBbBDdDdDdDdccCcCCDdbBbBcADdaCDdDdcADDdcCdDdaCDdcBbcCAaAaADAacCdDDddacCBbcCcCAacCBbCcCDdcCDdcAacCcCAaAacCADAaDdDdcCdaAacCBbCbBbBDdbBcCDdccCADAacCdDcCAaDddaCDdDdbBbBcCccCcCCDdbBcBbCccCADdaCccCADdaCDdcCbBcAaCbBbBDdDdccCADAbBadaBbBbcCBbADdaADcCDdAaDDddDDdDdDddDDddAacCcCAacCDDddcCAbAcbdDaAdDdDaADddDaADdaADdDdBAaAabaAcCDdDdcCBCaAaBbAcAaCcbccCcbBbBCCcCccBbbdDdDBbBDAadDdadDAaADAbBccCdDBBaACcdDCcCcaAdDdDbBbBbAdDAaabBbBBBcBBbDdBCcCdDBDdbCcCCcAaCBDdDdDdbcCBbBbccdbAaBDcbbCcdDdDddDDBDdbddDDBBCcbDdAabCAaAAaAaaAabbbCbCbdDDddDBbDddaAcbcCBCcCcCDbAAcCdDaAdCAdDaAacdaAacCAacCcCcCAaAaADDBbBbdCcCcdacCADDBbdCAdDDdBCCcCcCcCccAaADcCBbBbcAdDdcBbCDdcdDCDbCcCcBbBbBdcBbdDdDCcdDdbcDdCCCccCCcccCcDdCaACCcCcCcCcCccaABbCcaACCccBbCcBDdbcCBDCcBbCDdcdbBDdDCcBbCDaAdcdDdDBDdDdDdbCcCcCDaCBbBAabdaADcCdDBbBbBbddCbBbBCcbBAaCcADDCcdbCdDdDdDaAdDdDaAaDdAdDcBDdbBDdDddDDCcCcdDCcddDdaADDdbBDCcdDCcCcdDCcdbCaAdDcCaDdDdAaAcBDCcdDCcdbBdaAaCBDcCAaAacCAacCdDAaAaAacCAadDcCdbBDcCAaAaAadbccBbcCCcDdBbcCCCBDdbccCAaCcbBCccCCccBbCcDDBAdDdDabcCddBbBbcCcaACBbDdDDBAabdabDddDdDDCcdBAaCcbaAacDBbdDcCaCcDDdDdDAaCcCcCcddCcAdCcCAaAacdDCcCABCCcCccbaAacCcdacCcCAacCAacCADCAaAdDdDacCcdDCAaABCcAaCcbaAdDdDBbBCcbBCCccADcCBAabcAbCcBbCcCcBdDbCcCcBaCddcaACcaACDdCCBDcCdbBDAacCdDcCcCdDAaAacCAacCdbcccaACCAaccCDdBbcCBbBbBbCbBCBDcCcCAacCcCcCcCcCAadDdbBbBbcCBbcADbCdDaAdDaDdDdAdDdDcCaAaDdDdDdAcBbCaAaDdAaAaDdDdDdDdDdAcCaAdDcBdaccaACCCBbcADDCcCcCcdDCcdDddDbCdDdDdDdDcBbBbCcCaDdAcBDdbBdaADbCcCdDdDaAaAaAdDdDcBdaCBDAadbBbcCBbcAaCcCcCcccCcCcCBbcaAaAaAaAaAaACCbBcCCcccaAaAaAaACcaACDabacCAdDBCCccbdDDdBbdDdDBCCcCcCcCccbaAacDBbdCAacDcCaDDddCcDdAaDDdDdDABbBbaCcAaddAdCAacdDDddDdaAacCcCAaADCAaAdDBCcbDddDDdacdDDaABbdCAdDdDBAdCCcAaAaADbBDdDdbBbBdabBAaccCCcDdCcBbBbDDdaCCccCcAabdDdDBAaCCcCcCccCcbBADBbcCBAdDdDabcCBAabddBbDdDDBAdDdDabcAbBaAaCcCBAaAabddBbBbDabacDdDBbdCABADdDBAdDabcCBbBAdDdDdDdDabBbcCcAbBbBdDbBaAdDdcdDCDbBbCcBdDbBbCcCcBdcCDbCcCcCcBaAdDbBdcCDaCcCBbdaAaAaAdDdCcBbDaCCcCccCcADdaCCcCcCcCccADcCBbdDcAbBaCdaCCcCcCccCCcCcCccbDCaAaAaAaAaAaAaAcdDCcdBbacCAacCcDdCAdDacCABADdDBAabBbcCdDcAbBbCcBaCBAdDdDaAaAdDdDdDdDdDabdaCcCCccAabDCaAcdBCcbaAacdaADDBbBbdCcCcDBbaCcDdCcDdCcCcDDddCcaaCBbBbcAAaaAACcaaCDCBbcAaAadDaAdDaAAaaAaAdBbBbccaAacCcCcCDddDACCcCDaAaAAaDDDdDdddaAAaAaCcDdCBbcCcaAdBbBbcAACcCcDDCcABbBbaADCcdDCcCcCcCcCcdBbaddaBDdbADDCcdDdDCcCcddCcAaAcDdCcCaaacBbCABdcCDDDdDdDddDDdDdDddbacCcaACAADDddABbcDAABbaABBbBbBCAaAaBaAaAbAaBaAaAaAaAaAbAacCcbBCBaAbAaBaAaAbAaBbAacbBbBbbAcCaDddDAaDCcCcCcdDCcCcddcCcCDaaAadDACBbcaAaAAdDDdDCcdAcCcCaaADCcdDdBbaadCBbccCDdDAAaadCccCcCDAaAABBbbaAdcCcCDdcCcCDBbdDDCcCcCcdDCcdAcCadDBbAadcCcCcCcCDBBCcbBCAaAacCBbAaAaBbAacCcCcCBaAbcbbBBCAaBbAacCAaAacCBaAbAaBbBaAaAbAaBaAaAbAacbbAaAcCcCcCaBbaadcCCaCcAccCCBbaDdaBBbbaCDCcdcCDaAAaaAdccadBadBbaADAcCcCadcCcCcCBbcCcCDdBbaCcCcADAadDdDdcCcCcCcCaABbaCBbcCDdDdcCcAcCaABbaAaCcAcCDAbdDBadDAcCcCadDdDdaAcCaABbaAaCCcBbDdDdcCCcBbCccABbBbcCBbcCBbBbBbDdcCcCBbaAaCCcDdDdDdCcCcBbCccAcCDAaAbdcCcAaAaAaCcAaAaCcAaCDCcBaAaAaAcCaAcCcCaAadBbaCcABbaCcAcCDAcCbDAaDdDddCaAaACBbcaACccDACCDDddBbccaABcCbadCCBbccDDdcCDdcCDdcCDdcCDddDDddDAacCDdAaDdDdcCABcCcCbaDdcCcCACAADdaBDdDDdDdddadDdDdDAcbcAaDdDdCcCBbBCDBbDdDDdDddbAAcCcCBbaDdDdaacacCddDCcCCccBaAaAcCadBbaABbDdDdBbcCaCDdBbDdBbDdCcBbCcDdCcCccCBbCccABbcCaAaCBbCcDdDdBbCcBbBbBbBbDdCcBbBbcCcCCcDdBbDdDdcCcADAcCadaADdcCBbaADdcCaAaCcAcCBbDAbDcCdDABcCcCbBcCcBbBbCcCcBbCcBbBbCbCcadDDdcCcCDdACAaCBbDDDcCCccadDAADdaAaadDAadDdDAadDdDdDdDAAaAcCaaAadDACdDcCddDDDdCcDdBbcaAadDAADdaAaAcCaCdDcadDAADdDdaaACBbDddDDdcADdaadDdDdDAADdcCDdaCBbcaAaAaAAaaAaAAaadDdDAadDAADdcCcCcCDdcCaadDAADdDdDdaCCcCADAcCcCAacCAaAaAacCAacCAaAaAaAaAaadDCaAaAaAcAcCcCaCcAaCaAaAcAAaAaAacCcCadaADdDdaadDAADdDdDdaAacdDCadDCcAAaaAcDdcaAAaaAADdcCcCDdcCDdaAcCcCaadDdDdDAAcCcCaaAaAadDdDAAcCDdaadDAadDdDdDdDdDdDACDdBbDdCAaADAcCAaAaaAadDCaAcCaAaAaAcdaADAadaaCcCcAaCcAADCcAcCaCcdDCcdaAaadDCcCcCcdDCcdDCcCcdDAadDAAaAaADCaAcAAaaAadaAacBbCcddDddcAAaAaAaaCccCCDAaDDDdCAaaAAaAaAaADCaAcdaAacdDcAaAaCDdBbdDDdDdcCBbCAacDdBbdddDdBbDdDaAaAAaaADdDdaAaAdcCcAaAACcAddDDaaaAACcDdDDddAcDAadDAadcCcCcCcCCccCDdDAadDAaAABbDdBBCBaAaAaAaAaAaAaAbAaBaAbcbbDdaAaCBbcadDAadCcCccCcCDdcCcCcCDdcCcCcCCcDACcCcCcCcadCBbddDCAaAdDdDDddDBCcCcADcAdDbBdDbCcBdcdbcCCCccCCccaAcDdDdCcCcCCCcCccCcBDCDbCcCcCcBaCcAbCcBbCcBdcBDdDdDdbBbCDbCcCcBbCcBdDbCcCcBbBaCddcaACCADDdDdbCaDdAaAdDdDcCcCdDdDdDaDdDdAcCdDdDaDdAaAdDaAdDdDdDdDcCdDcBdDdaCBDcCAadDAadbBDcCdDcCcCdDcCdbBbcCBbcbBCBDdbcAabBcCAacCccaAaAaACCbBbBcDDBbBbcCdaAaAaAabDCaAaAaAaAcCcCaAaAaAaAaAaAcddDdDacdDCABCCcCccADcCcCdabDCcCcCcCcdDdDdDdDCaAcCaAcCaAcCaAcdacDcDdcCcCDdcCDACcCBbBbcaACBbcaAadcCcCDACBbBbcCcCBbBbcCBbBbcCBbBbcadDAadcCcCDdDACcaACBbBbcABBbbAaBBbBCAaAaAaAaAaBaAbBbAacbbDCcddcCDBBbBCBaAaAbAacbbdDaAAaAaDdDCcdBbdcCDdcCcCDaAdDdcCDaCBbBbcaAAAcCaaCBbcAAcCcCaaCBbBbBbcaACBbcCcCBbcABBbBbBbbaAdDAcCadcCDAaaABbAadDAaaAAcCaBbaCBbBbcADdaaAABbaadcCDAABbAcCaaAdcCcCDdDBbdcCcCDdDDdDCcdBbDdBBbbAaaCBbcADddDDdAcCcCaBBCAaAaAaAacCAacCAaAaBbBaAaAaAbcCBbAaAacbbDdDdAcCaDddcCDaADdDdaaAaAaAadcCCBbdDcCBbccCDAaAaAadcCCBbaDDCcCcADAadaABbDdaddaACcDdDdaBbacacCDdDddCCcadCCAaAAaAaaBDdDdDdDdDdbBDdbBbBbaAAaBbccDAcDDddBbCaAcdcAaCcAaAaCcAaAaAaCDCCcCBbcadCcDdDAcCCcaAadDdCCaDdCcCcAAaAAaAcCcAaAaCaaaDcCcCdAaCcCcAcCBbBDdbBbaAAaaDdCcDcCcCcCdAccCcDACBbccCadDdCcDACcCcCBdDdDdDbBbBbccDcCdBaAcCcCcCadBbDdDdaAcCBbDAbdcAaCDdcAaAaCcCcCDBcCcCbDcCdBbBadDAcCcCbBadDdBbaAcCBbBbcCaCDdCcCccCcABbBbcCcCcCBbDAbCadDdDdDdDACBbccdDCcBcCcCbBcCbdDdcCcCcAaCDBadaABbcCaAcCaABbcCaCDdCcBbDdcADdBbcCaADAcCcCbBcCcCadaCcCDdCcCcDdDdCcCcBbcCBbCcDdcADAcCbCcBbDdCCcaAaACBbccDDdDdABbCCBbccadDdDABbaDdDdcCcCcCcCcCcCDdcCcCdBcCcCbBbCcdDBbDABbadBaAbCCBbccBbCCcCBbBdDbcCcadDAcCCcadDACBdDdDdDbBdDdDbccBbCcdDDdCcBcCcCbBcCcCbdcCDCCBbcCBbBbBdDdDbccBaAbdDCCBbccDddcCDBbdcCDdDCcBadcCBbaABbBbBbaCcCBbBbCcDdcAaCDdBbcCCcBbCccABbDdDAbCadCcCCBDdDdbBDdDdDdDdDdbAaBbBbAAaAcAaAaCaAcAaAaCaAcAaCcCcCcAaAaAaCaAaAcAaCcAaCcCaAaaBDdbBbaAccDAaAaACcaACcCBdDbccDAaABbCAAaADDCcCcAaddaacCAAAaDDCcAaADAaCcCcdDCcdBbaABbBbBbDdDCcCcCcdaddCcAccCcCcCcCDdCBbaaaCccCcaACCDAaaAdDdBbDAaCcdBbBbBbcAAABbBbBbaAcDACBbcCBbcAdcCcCDBbDdBbBBbbdDdcCDBbaAdcCDaAaadDdcCDdCdDBbddacCADDaCcABbaCcaBbaAAaacaDdcCABcCbCAAAccCCaAdCAaABCCccbdDDdBbdDDdacCADdacdaAacCcCADDaAdDdDdCADCcCaAcCcCcCcCaAaAaAcCaAaAcddDBADddDDcCBbcAbBdcBbCcBDdDdbBDdbdbBbCccDdCcDdCcCCcBDBDdDdDdbCDdDbCcBdDbCcCcCcCcBbBaCddDabaAacdDDBbBbaDdCcAdCADdDdDCcddDdDacdacCADdDdacCcCAaADDcCaDDCcddaAAaAccCCddDdacCAacCcCADDccCCBbBbaDDdDADdaddCcCcAddacCcCcCADCAdDdDacCAdDDdBCcADdDBAdDdDdDaAdDdDabBbBAabcCcAbCcBaAbBaAaCddDDdaCcCcAdcaACcCCbBbBbBAaAaCcbBCBDcCcCAacCcCAacCcCdDcCAaAacCAacCdDAadbcADdaCBDAaAacCAadDcCAaAacCdbcADDCcCcdbCdDdDcCcCdDcCcCaAaAdDdDcCaAcCaDdDdDdAdDaDdAdDaDdDdDdAaAdDcCcBdaAabBAaADDCcdbCcBDdbBdabBcDabaAdDdDBCCccCcbBAabdDdDBCCccCcADBAabdabBbBAabacDdDddaADDBbaDdaBbacBbaddDBbBbdcCDdcAaCDDcCcCDdDdDdddDDDdDdACcadCadCCccCCAAcAaCcAaCaAaaBDdDdDdDdbcCBbAaccCCcCccCcCcCCBDdDdDdbccDdDdDAadCCaAaABDdDdDdDdDdbaDdDcCdAccDdDAadDAcBadcCDdDAcCcCcCcCcCcCadBbcCcCcCaAaCDdcAaABbaCCcBbBbDdcCDdBbCcCccADAadBbBbDAbCcDDdcCAaddcAaCcCDCcBaAcCaAadaABbaABbDdBbaADAadDAaAaAaAbCcCcCcBaAbBbCCcadCcCCccCCaAccDdDACcCBbBbBbBdDdDdDbcCccCCcadDAadDAadDdDdCcDdCcDAaAadCcDdCcCcCcCCaDdCcCcDdAaCcCcDdABDdDdbAAaAcCcAaCcAaAaAaCaaBDdbcCBDdbcCaCcDdDdCcCcDdCcCcDdABDdDdbAAaAaAcCcCcCcAaCaAcAaAaAaAaAaAaAaCaAcAaAaAaCcAaAaCaAaAcAaAaCaAaaccDdCCccDAcCCcCccCCBdDdDbcCccBbCadDdDdDACcCcCBdDdDbBdDdDbBdDbBbBbBdDbBdDdDbBdDbcCBdDbBbcaAcCcdcAaCDCaAadCCAaAaAAaAaAaAcAaAaAaAaCcAaCcAaAaAaAaCcCcAaCaAcCaaBbaDcCcCcCcCcCdCcDdAaDcCcCcCdCcDdDdCcCcCcCcAAAaaAAcCaaAAcCaAaaAaAAcAaCaAcAaAaAaCcCcCaaAaBbcCBDdbcCcCBDdDdDdDdbAaBbBbaDcCdDdCcCcABbccDdDdDdCCcCaCcDdAAacCAAcCcAaCaAcCcCaaBbAaBbBbaAcCaDcCcCcCcCcCcCcCcCcCcCdDcCdAaABDdDdbcCAAaaBbAaccDAcDDdACAaCDCcdDaAdBbccaDdACcCcCAaCDaAdccCcaACcCCBbDAaaADDCaCcdDdDCcdDdDAadDAccAaCDdcadDAADdaaACdDdDCADAcCcCcCAaAaAaaCcAAaaCaAcAaAcCAaaAaCcAAaAaAacCAaaCcCaAcCcAadDAcCcCcCcCAaAaAaaAcCaCaAcCcdacCcCADCaAaAcCaAcdDCcAcCAaAaAacCcCcCAaadaaCcAcdDDdcADdcCaadDAadDdDdDAAaadDdDACBbcCcCBbdDddAadBbcCDaADdDdaAaAdccBbadBcCcCadBbcCDdDAbDdCaAadCCAAcCcCcCaaBDdbAaBDdbAaaCcAaDcCdCcDdAaCcDcCcCcCcCcCdAAAaaAAcAaAaAaCcCaaaAaDcCcCcCcCdCcAaCcCcDdCcAAacCaCcAaAccDdCCccCCBbccDdDdCCaABDdDdDdbaAAAcAaAaAaCaaccDdCcDAaAadDACcCBdDdDbBdDdDdDbccBbBcCbDcCAaABcBbBbCcCbaDdddcAaCcAaCcCDdcAaCcCcCDBbCcCCBbBbcadDdCCBDdbccDdDAadDdCcCcDdDdDAaAaAadCCccDdCCAAaAcAaCaaAAcAaAaCcCaacCAAcCaaBbaCcCcCcAaAcCBDdbBbaCcCcAaDcCcCcCcCdABDdDdbBDdbAAcAaAaCaAaaBbaDdAcCaDcCcCcCdCcAaDcCdDcCcCdDcCdCcDcCcCdCcAAaAaAaAAaAaaccDdCcCcCcDdDAcCcdDBcCcCbdcAaCcCcCDCcdcAaAaAaAaAaCDdcCcAaCcAaCcAaCDBadDAcCcCcCadDdaAcCBbBbBbcCaCDdDdBbBbBbDdCccCDdBbcADdBbaCBbDdBbCcCcBbBbCcBbCcDdcAcCcCaAaCcABbBbaABbDdcCcCcCBbaAaAaCcCDdBbcAcCcCcCBbBbaCBbBbBbBbBbDdDdCcCcCcDdDdCccAaABbaCBbBbBbDdCcCcDdCcDdDdcCcCCcBbCcCcDdBbCccCcCDdDdCcBbBbDdBbcCBbCcDdCcCcCcDdBbDdDdBbBbCcCccADAaAbDcCAadBbBcCaAbBcCcCaAcCbBbCCBdDbcadDdCcCCAaaCcDcCdABDdDdbBbccCCaAAAaAcAaAaCcAaCaaBbccCcDACcadDdCCAAaaaAAAaAcAaAaCcAaCcAaAaAaAaCaAcAaCcCcAaCcCaacCcCaDdAcCcCBbAaaAaAccCcDdCcCcDACBdDbccCCcaAcDDdcCDddBbDDdACCBbDCBbBbBbBbcDDBbdDBbcaAaACCaAADdDCaAaAaAcdDAaCcdDAAacCaAcCcCAaadaAaAaaCcAcdDddaACcdccCCcAacCCcAADdDdDdCcABbddDdDdDDdDBbdCcDcCBbaDdaaAACcAaDdAaCcaBDdDDddBbBcBAaaAAaaAbBccCcCBbCAabCCCbdDddDdDbAaCdDaDdaaAADdDBbdDdAcAdDaBaADBBbbddDdDdDaAbBdDDBaAcdDCaAbBCAbBaDbbAcBADdAACcaAaAbBbcCcCcCBaaAAaAbBbBBACDdDdcaACDdcCcCBbcCcCBBbBbBbbcCBBbbDdBbDdBBbBbbDbBbDDdDdDddcCbBBdBBbbBBbbBBbBbBbBbBbBbbDdDdcCDbBdBBbBbbcCcabBbCcCcaaacCbBcBbCcCbCcCAaaAcBcBbBbCbBAaAaADdaAAAaaDdAAbBCcBbbBbcCBaAbBCcCcbcCcCBbcCcCBBbbBaaAAbcCcCcCBCcBbaAaAbcCBaACcBACcaAaAaAaAabBAabaaabBcBbBbCbBAAaAaacCbCcCAacBcBbBbCAabBAabCADDAcCaddAaaaDdDaAaAaAdDdBBbbDaAdAAAaAaAaaAAaaAacCcCcBADDBBbbBbBACcCcAaabddacCAacCbCAAaacBcBbCbCAaADdacBAacCcBbBbCbBbBbCcCcCAAaaAAaaaAaAADDaAAAaAacCcdDdcCcCDdDdDdcCcCcCcCDCcCDdcCDBcCcCbBbBcCcCcCcCbdAacCcdcCcCDCcCaaAddAaAaDdaAaaBbAAAaaaDaAaAaAaAaAaAaAdBBdDbBdDbBaAbbDdDaAaAaAaAdBbDdDdAAAaDDdDdDaAAcdDdDdDCcCaAaAcdDCadDADBcCbDaAcCdBcCcCcCcCbdDBcCcCcCbdDBcCcCbBcCcCcCcCbDaAcCDBDabBAabcCBAdbBDaAdbAaAaAadDddBcCbdDDcCaaAaAADAaBbBbdddAaaddaaAADDaBBbDddDbBbBbBBbbBdDbBBbDdDdDdbBdDDdDdbBDdDdbAAAaDDddadDdDaBbAddacBbCAacCcBcCcCAAAbcCcCcCBbcCBCcaaDDBbBAaBbbddacBbCAacBbBbBbBbCbCAAaDdAaaaDaAdBBaAdAbAaBdDbBbBbAaAaAaBaAacBBbdAaCdBcCcCAaAacCcCbaADcDbCAdDbBdDaAdDaDbBdDdAaAaDaAaAaAdDbbBBbbDaAaAdBBdcCcbBbBBDDddDddDDDbBbbBBCDdAaaADBbdaADdDBbdDdcCcbAaaAbBbBBCDdABbAbBbBaaDdDBbBbdAaaAaAcdAaddCcABBAabBAabBbbBBAaAabbBbBbaABBAaAaAaAabBAaAabBAabBbbaDDDbaAAaBCABbBdDdDbBdDbBdDdDdDdDdDdDbAbBbBbBaaAaAAbBbBbBbBbBaaABdDbBbaAaaAAAbBbBaaaAcCcddBbbCDbBbBbbAaDaAdAcBAacBbCbCAAaaaDaAaAaAdAcCaAcBAAaAACcCcaABbCcaABAabaaAaacCADdaAacCcBbBbBbBbCcBbBbBbBbBbBbBbBbCAaAAABAaAabCcaABAabaAbcCBaaaAAaDdDDBccCcCCBbACcAbBaabdDddDDddaAabCAAaaaBBbBbbAcBbCAAaacBbBADDBBbbdDdDdDddDdDDBAabdDBBbBbbBcCccCCccCcCCBbbddaADdAaAaDDBccCCAaccCcCcCCcCbdDBbBACcAaCcaACcCcCcCcAbBaAbBbBbBaabdDddDdacCADDBBbccCcCcCcCcCCccCcCcCcCCcCACcaAacCbdDddDDBAaBbbdDddAACcBAabCcaaAaAABAabBAabbcCBbBBbCcbBBbCcbBbBbcCBCcBbaABbBbBACDbcCcCcCDDdDdDddcCcCDDdDddBbcCbBDdDDdDddBdDdBbDdDbDDddDdDDdDddDdBdBbBbDdBBbbBBbBbbDbDdBdDbbdDdDBBbBbDDddcCbBcCbBBbDDddBdcCDdBBbbBBbBbBbBbbBBbbDdBBbBbbcCBBbBbbBbDdcCBBbbDbcCDDddDdbBDdcCBdDdcabaaAaAaAaAAaABACcCcCcCBbcabCcCcaAbBBAaACBbcCcaACBBbBbBbBbbBbcCcabaaabCcBcBbBbCADdAaDDBBbbBcCcCccCcCcCcCCcCbBBbbdDdDdDBccCCbdDBBbbBbBBbbddacCcBbCcBbBbBbCADdaAaAAaacBbCAAAaAbBaAbBCcBACcabbBaaDDBBbBbccCCcCAacCAaBbccCcCcCCccCCbBAAaCcAaCcCcabBACcAbBbBaCcAbBbBaCcaAAaacCACcacCbddDDBcCAabBbBbddAaAaAAbcCcCcCcCBCcBAaAabaaacBbBbBbBbCADdabBAaAacBbCAAACcaACcaaDdDdabBbBADDBccCCcCccCCccCCAAaAaaBbcCbBBbccCcCcCCBbBbBbbBACcCcabdDBbdDddAAbBCcCcCcBACDdDdDbbdDdDdDdDdDBcCBbbdDBbdDBBbDdbBbBBdDbcCbBBdDdBBbbBBbBbBbbDdcaACcaAaAaAabbcCBbcCBBAaAabCcbcCBaABAaACDbbBbdDdDdDBcCDDdDdDddBdcabBACBbDdcaACcaACcaACcCBBbBbbBbcaACcCDdDdDdcCDdDdBBbbcCBBbbBbcabaAaaDdAACcaaDdDdacBbCADdacCcCbBAAaDdAaDDBBbACcCcCcaccCCccCCBbcCAAbBaAaCcAaaccCCbBcCccCCAAbBaCcAbBaAaabdDdDBbBBbccCcCcCcCcCcCCccCcCCBbccCCAAaAbBbBaabdDdDBAabBAAaCcabddaAAABbBACBBbBbbcabaAbBaaaAabCaDaAaAaAdDaAdAaDdAaAaAcBAAaDDdDBbdDdDdDdDBAabdDBccCcCcCcCcCcCCcCcCBbcCcCccCCccCcCcCCcCbBbBccCCAacCAaAabBAabdDdDBBbAAaCcAaAbBbBbBaCcCcCcabddDDdDddDDdDBAabdDBbBACcacCccCcCcCCBbAaBbAAaCcCcAaAaCcacCAAaCcacCccCCccCcCcCcCcCCAaBbccCcCCACcacCBbcCAabBBbBbcCACcaBbBbAaBbAAaaBbbddDdacCcBbBbBbCcBbCAAABbBbbBaaDDdDBbBcCbBbBBbbBccCcCcCCbdDddAAaaDDdDdDBccCcCCBbccCCAaBbccCCBbbddAaDdAAaaDDdDddDDddDDBbBbdDdDddDDdDBBbbBbddAABAabCcbcCcCcCBbcCcCcCcCcCcCBaABbCcbBaaabCcCAAaAaDDddDdaADDdDAcdDCDdcdcCcCcCDdDCaAaaAAaAcdcCcCcCcCcCcCcCcCcCDdDCAacdcCcCDdcCcCDdDdcCcCDdcCDCAaAaaAadDAaaBbBBbbAddacCADDADdcdcCDdcCcCDCAaadDddDDaBbBBbBbBbdDBbbAaAaAdDaBDdbAddDDaBBbDdDdBbbAddacCADDaAddDDADdaAcdDCAaaAaaBbBDdBbdDDddDDddDdDDdbBbBbBdDdDbBBbBbBbdDdDBbbBBbDddDbAddaADDddAaAaaaBbAAAaAaacBbBbCADDaBdDdDdDdDdDBbDdBbbBBbbBDddDdDBbdDBbBbdDbAdDAaADDcCaBbBbAcCcCaAcCaaAaAAaaAaABbAdBcCcCbDcCaAcCDBDabBbBbcCcCcCBbBbcCaAaAcCBAdbBDabaABAabBAabBbaABbcCcCcCcCBbcCaaAaAAcCBAabBAabaaAaAaAAaaAaAAaAcCcCBbcCaaAaAABAabcCcCBbcCaaAAaaAAaABbcCBAdDabaAaABAaAabBAdDdbAaAaAadcCcCdBcCcCbDaaAaAAcCcCdBcCbDcCaAcCaBbBbADAadddDBcCcCcCcCcCcCcCcCcCcCbBbDcCDBbBDdDaAaAaAdDabaAcCBAaAdDdbBbBbAadddcdDdcCcCcCDdDCcCDBcCbBbdAacCcdDCaAaddDDADBcCcCbBbDcCDAaddBbDDBDdDabaaAaAaAaAAcCaAaAcCBAabBAdbAaBDdDdDdDdbBDdDabBAabBAaAaAdbBDabBbaaAABAabBAabBbcCaaAaAaAABbBAdbBDabBbBAdbdaAaBbAaADAaddBbDDddDcCaaAaAaAADAaAaBDdbAaBbdaAcCaaABbaAAddAaDdaAAacCDdDDdDddDdDdDdDDaBbBbaAaAAdDcCdDcCDddBbdcCAaDBbBcCcCcCbDdBbdaddDdAaAaDDaBbAdDddaaAcCcCcCcBbCADdAaaADdAaAaAaAaDdAaAaAaaaAcCADDAAaAacCaAaAcdDdDdcCDdDdcCDdcCDCDDaBbBbBbAcCcCdDdDDdcCcCdDcCDAaBbBbBDabBAaAaAabcCBAdbAaBDdbBDaAabaaAaAaAaAaAaAaAABAdbdcCDAaBDdbBbBbdcCddaaBBbdDdDdDDddDdDbBBbDdDdBbbBDdbBBbDdBbDdbBdDdDDddDDddDdDBbdDDddDbAaBBbDdDddDDdBbbBDddDBbBbDdbAAAaDBcCbDcCcCcCDBDdbAaAadDBbAaBbBbBDaAdDdDdDaAdbBDdbBbAadaBbBbaAAcCaBbBbAcCcCDBDdDdDaAabBbaAcCaABbBbBbaAaAcCaaAAaaAaAaAABAdDabaaAAaAaABAaAdbdcCaADAadcCdDddAaDdcdcCcCDdDdcCcCDCDDDBbAaBbAadaADBbAaBbdaAaAcCcCaBbBbAaBbBbAaBbAcCcCcCcCcCddaaAAcdDdDCAaaaBBbbBDdDdDdbAaBbBDdBbDdBbdDbAaAAaddAaaaAAaAacBbBcCcCcCcBbBbCcCbBbBAacCcCAabCcCAaADDdDdDaAaBbAAcdcCcCcCDdDCcdcCcCDCAaAacdDdDCDdAaDBbBcCcCcCcCbDddcCaaAddDDddDDddaAAaaaDaAdDaAdBBbBaAbBaAbbBBaAaAaAbbDaAaAdBbAaAAAaaAacCAaAAaDdDDddDDdDaBDdbAddAaAaaAacBADDBbdDBbBbBcCBbAAbBaaAAaCcAbBaaACcabdDdDdDddAAaACcaAbcCBBACBBbbBbBbDbbdDBDDddcCbdDBcCbBBbbdDBbdDdDBcCDdBbBbBdDbbdDBDdDdcCBbbdDdDdDdDdDdDdDdDBcCDDdDdDdDddcCDDddcCbdDBDDddBbbBBbbBbBBbcCDDdDddBdDbBdcaAabCcBACBbBBbbcCDdBbcaACBbcCBBbBbBbBbBbBbBbbDbbBBdcCcCcCDbbBBdBBbbcCBbDdDdDbbdDdDBcCBdBBbbDdDbDDdDdDddBdDdBBbBbBbBbBbBbbDdBBbbDdcaACcaAabCcCcCcbBaaDdDdAAbBbBBbbcCBaACcCcaAbBaaAACcbBCcCcCcbBCcCcCcbcCcCBBAaAabCcBbBAaACDbDdbBcCBbDdBdBBbBbBbbcCcCBbDbbdDBbBcCBbDdcCDdDdBbBdDdBBbBbbcCcCDbBdBBbBbbBBbBbBbBbBbBbbcaAabCcaAaABACDbcCcCBdcabaaDDdDBBbccCCbddacBbCbBcBbCADDdDddAaaAacBbCcCbBADDddDDdDddabBbBcBbBbBbCbBAAABAaACcabaAaAaACcBbBbBbbcCcCcCBBACDbBbDdBbbBDdDdDDdDdDdDdDdDddBdBBbBbBbBbbDdcabBAaAaACBbBBbBbbDdcabaaAaacBbBbBbBbCcBbCbCcBcBbCbCcBAabBbBADdAaDDBccCcCCAabBBbbddacCAAABbCcaACcaaabBbCaBbDaAaAdBBbBdAaAbAaAaAaAaBdAaDaAaDaAdDbBdAaAdABAdDdDaAdDaAaDdAdDcCcCabcDACcadCcDcCdDAadCcDdDcCACcadDdDACDdDdDdDdDdDdDdDdDdcacCAaAaACDdDdcCcCDdcCcCDdcCcaACDdcCDdDdcadCcCdDBbaDbAaAaAaAaBaAdAdDaDbBbBbBbBbBbAaBdABbaAcDcCcCAadDcCdDdCaDbAaAaAaAaBdDacCcBbcdDdDcCdDCbBcCBBbdAaDbCcCcCAbAaBbAaBbBacCDaAbbBBbbDdAAaaBbDaAaAdDdAcCAAaDdacCaAADDADDaaAaABbAcCcCaaABbaAAdBcCcCcCbBcCcCcCbDaADAaBDabBbaAaaAaAAcCaaAaAAaAaABAaAabaABAdDdbAaBbAadaAaBbaABbaAaAADBbAaAaBbAadDAaBbBbAadaBbAdDaaABbADAaBbAaBDabcCBAdDabaAaaAaAaAAaaAaAAaAaAcCcCaAaABbBAaAdbAaBDdbdaBbaABbaAaAAaAcCcCddaddaADDaAdDaBDdDdBbbBBbBbdDDdBbDdBbbBBbbAaAAadDdDdDAAacdcCcCDdDdDCcdDdcCcCcCcCcCcCDCDdaAcdcCDdDCDdaAaAaddacCcBbCaAaBbDdAaDaAdDaAdBbDaAdDaAaAaAdAcCAAaAaAaAaacCAAaacBADdAABACDbDDddBdcCDbDDddbdDBBdBBbBbBbBbbcabbcCBCcbcCBaAaaaAAAbcCcCcCcCBaaDDddaAAAbBBbbcCcCcCBCcaaabCcCcBADdAACcaAaaacCAAaDDdDBbBACcacCAAbBaAaAbBbBbBaAbBbBbBbBbBaAbBaAaAbBaAaCcAbBaaccCcCcCcCcCCBbbBBbccCcCCAAbBaaccCCAAaacCbdDBccCcCCccCcCcCcCcCcCcCCACcCcaACcaACcAaCcaBbACcAaCcCcabBbddabBbBAAABbBbCcBbBbaACcCcCcCcbcCBCcBbCcCcCcaAaABAabBbbBaaAACcaAaaDdDDdDdDddAAbcCcCBaaDdAaaAabCaAaDdBbAAacCaAaDaAdDaAaAaAaAaAaAaAaAdDaAaAdDaAdDaAaAaAaAdBBdAbBbBdDdDbAaBaDdcBbccbdaADDDdddcdDbcCcDdAaDdDdCcCBCaAadDdDAaADDDdDddDDddbBDdBbdcCDBbbaCDCBbBbcAaAaAaaACcdBbcCBbDAaaAaAdDdcCccCAaCcCBbBbBbDCBbBbBbcDDcaAADdDdDdcCDdDdaAaCBbDdDdBbcadDdDAadDAAaadDAadDdDAADdaCcaACCadDCcCcAADCaAcCcCcdaaCcdDCcAcBbCaAccadDAadDdDAadDdDdDdDAAaAaadDdDAAcCaaACCcBbCaAcDddDDdDdddDDBbddCcaACBbcaAdBbBbDdcCDDdCBbcDdAadcABbBBcCCcCCcCCcbdDdaAdDbAaBbCaDBbdaAAaaAaADdDdAaDdAdDdDaaaAaAaAaAaAaAAaaAAaaAaAaAaAADBbdaaAAAaDBbdAaDdAaaADBbdDdaADdDdDBbBbdDdAaaAaADdaADdaaAADBbdaaAAaADBbBbBbdAdDcBbCaaaAADdDBbBbdaaAAAaDBbdAcBdDDdDBCcBdDbCcCDaAdDbbAcCcCaDaAaAaAdAcCAAaAaaaBbBbDdBbBbDaAdBbDaAdAaDaAaAaAaAdBbDdAaAaBbAAAaacCAAaDdAaDDAaaAaAdDdDAadDAAacCaddDDAaADDDdddAaAacCDBcCcCcCbBcCcCcCcCbdAacCcdcCDdDCAaDDddaAaaBbAddAaDdaAaAacBAAAaAbcCcCBaaDdDdAaabCaAaBbAaBBbbBBaAaAaAdcccbbBDDdDddBbdDbBBcBccCBbdbAccCdDDdCcdDcCcCcCDbaAacdDddDdBbDDCABddbBbBDcCDdCaBDdbBbAcdDcCCaBDdDBAddDDAaAadDaBdDCcdDBcBAaAaBCcbDdAabCcBbBAaDdbaAaACAaAabCcCcbAAaaBaAaAbAddDdDdDDddDDAaabcCcCdDdbBdaBbACBBCCaABbBCcbcCaAaAcCBCAaAaDdBCBbcbaaBbBaAbAaAADDaAccCbBcCcCCaAabBAdCaBbaABbBbAbBcCcCcDccCbBcCCaAaBDdbbBbBAcBbCcCdDdDdCbBbBaBbAbBaAAAaDbBbBdaaBbaABbAbBaBbaAAbBAAAcCcCcCaaAAcCaaDdacCbBbBABcCbBbaaAbBcCaBbBbAaBbBbaAaAaadDAABbaAAbBbBcCcdaAaAcbBCAacCDDaBDdbBDdbbBAaAcbBbBBbcCbBCabBAcCddAaDCcdcCBCcbAAaAaAaAaacCBbAAaAaaAaDdcbaAaAaAAacCBbaAAaAaAaBCAAaAaaAacCDCAAAaAaAaaDbBdaAaaaAaAAcCbBAAAcCcCcCaAaAaaBcCcCcCbacdcbaAcCccCcBBbbbBbBbBBBbBbAAacCcCcCcCaAaBbBbAcCaBbBbBbAabCcbBbBBBbBbBbBbAaAaBbbbBbBBbCcBAaAAacCabCCAaAaBCaaAaAaAAAAaaaAAAaAaaBbAAaAaAaAaaBbaAAAaaBCBAaAcCcCcCabcbDdaADDaBDdDdDdbbBBbAdCbBbBcdaaBbAaAaBbAABCcCBBbbcbcbBbAaBCBCBAcCaDDaAdDdDaAddDdDDdcCdBbAaDDdcCcCdBbAaAcCcCcCaAcCabBAaBbbcbAAaAaAaaBCcbcbaAaABbBbBbaAaAccbBbbAAAaBbaAAaBbAACccCCcbBaaaAAAcAaAaCbBcCbBCccCcAaCcCaaaAAaaacDdDdCcCBbAaAaBBBAaBbAAaabCcbBbbcCcaBbACBbBbcaBbBbBbADbAcCcdbBDdBAaAaAabDdBAabbAaCcCcAaBBAaAaAabbAaCcBBbDCccCcCcCCaBdaBbADdDdDDBbBAAaddDdDDddDdDdDdDDaBBAAaAaAaaDdDDBBbBbbddAAaAaacBbCAAaacaACcaAaACAAaAaaDdDCACBaAddBbbCcCcCcBBbbBAcCCBbdDdDBCDdCAaAaccbdDcAbBdDbBdAbCcBbCcAaBaAbBbCaACCAaAbBbBacBAaAaDdbCAbBaAbBacBbcaACBAaAabBDdaBbBbBbAaCcBbAbccBaDdDbBacDdCcDdDdDdDdCCdDdDBbBCCAaAAdAaDaaccbcCdDBbBCCcDaAaAADdabBdBaAaAaCccdAaAaDCcDdCcCAacDdDdDdDdDdCcDddAaAaAaDDdDdDdDdDdCCDdDdcCcAaCcCDdccCcDdDdCAaCcCcAbBbDdcbdDdDdDBCcCcCCcCAAaAdAaBbDdBbBbDdBcAaCbBcAaCbDdDDAabBddDDDdDdDBbBbdbBddDdAaBbAaBcAaCcCcCcAaCcCbDDdaADAadDDdddBcCbDdDdAaAaBcCcCbAaDDbBAaDBbdbBdDbBAaDdbBDBbBbdbBDdAaDdAaDBbdddBbAaAaDaADAaAaDddDbBdaAdBcCcAaCbAaBbDDbBAabBbBdDbBddDDAaAaAaDdAaAabBAaDddDDBbdDdddAaBcCbAaDDdDDdAaDdAaDdDBbBbdDBbdAadaAaADdaaAAdDDdaBbacDbBdBbcbdDdDdDBbcaDdBbbBdDBbACdDcAbBaABAaAabdcCcCDacDdCCcCBbccCCcaAcCabBBbBbBbDdDdBbdDBbBbDdBbdDbCcBACBbBCBbBaAaAacDddDdcCDdAaDdAacCDCcdDDdDdCAbBbBbcCcCcCCABbBbAdDDdaacBbcCBbCcBbCcCAacCcDaAADdDdDdabBbBdcCcbBCDaAdDbBaAdDaAaAADdBAacCbDdabBaAaAABcCcCcCAacCAacCAAaAaAaabBAAaAaAaacCcCcCbabBbBaAdCcCAAdDDddAaBbDDAaDdbBDdbBbBdaBbacBbcbcabCcBBbAAbBBccbDcCdDdBCCbbBdDDdbBaADCAaAaAaAaAaAacddAaAbBbBbCCcaACccAcCcCaCaAaAcCcAaBaDBACBbACcDddcCcCcCDDdacDdDdDdDdCcCBbAaBbcCcCBbBbBbAaBbBbAdcCcCcCcCcCcCDdDDdCcaADdaAacCcDdacBbBAaAaaAAaAaAaaaACDbBdDdDdDbBdcCDdcCDdcCDdDdDdcCDdDdcaAaAAaaAAbcCCbBAabaABAabaABcCACADddcCDaBbBbBbADdDdDdCcDddcCcCcCcCDaADdaACcCcdcCDDddcCcCDdDDdCcDdacCAacDdacCcBAaaAaAaAaaACcCcAAabCAacBaAbDdBbDdCADdDdaADdabdAacCDaCBbdDBbcAbBDdBADdDdabdAbAaCaAaAaAcCaAaAaACcaAaAcBacCDdDdcCcCcCcCAbAaCcBaAacCDBbBbBACADdaAdDCcDdacDdDdCcDdCACcdcCDacDdCADdacaADdDdabdAbBbAcCaBbBaAbBacCDdDDdaCcAacCCdDBCDaAaAaAAabBABcCbBcCcCbadcCCAADAabBAaDddaAaaAAaaAADDBbBbddDbBAaDdbBDBbdDdbBbBAaDdAaDBbdbBbBbBdDAaDdDBbBbdDdddBcAaAaCcAaAaCbAaDDddBcAaCbBbAaAaAaBbDdBcCcCcAaCbDaBbBbacCAAdBbBcAaCcCcAaAaCcAaCbDaAaaAacCccCcbcCcabCcCcCcCcCcBAcDdDdDdCAdcCDaADdDCcCcCcdDCAacCcCAacCAacdBbDCcdDdBcDdCccCcbDdDcCdBbBCCcDdDdCbbBacDdDdDdCcDdDdDdCAaADCAaAaAaAacCAacdDdaaBbDdAAbBaaBbAcDdDdCAdDBbaCBCBaCcCDdccDdDddDdDdDdAaAaAaAaAacCDCcDddAaAacCcCcCDCCDdcAbBbcbdDdDdDdDcabBdDbCcBdDdDDdBbAadDdDbBDDbBdddDDDbcCBaAdDddBbBbAcCaBbbBbCcCcBDDbcaaBdDDdcaDaAdACDdcaDBbbBBbaAbBdAaDaAaAaAbcCcaADDdDdbBDddCBBbdAaACDCbBbBcdDdBaAaBaACcbBbBcCcCCcCdDdDdDcCcaaAACdDdDccdDddDDCbAaBaaAAcddDdDdDDddDdDDdDdDdDCbAbbAcdAaAAaAaaAaAAaaAaAAaAaAaAaabaAdDbBCcdDaAdDaACcdDbbCaAadaAbBDdCcBBbbCcDAbCCdDdDCbBccbDDdDddDDdDddBCCaACDaAaAaAbbAcCcBcCbCaBBdcCAbBdDdDdDdDdAdDcDdDcCAaACcaACcaACDdDdcCcCDdcCDdcaACDdcCcCcadCdDdDaABBbAaAdDabdDBbdDaABDdbBAaDdAdDcCcCaDdDdDdDdbdDdDdDaDaccCbddDDBaAcCbdDBBdCdaAaADcCcCdDcDDAaDCaAcCDdcCaAaAaAaAABbacbaABbBbBdcCAadBbbCDbbBbBBdAacCAdDdDbAaAaBbBbBdAaAcDdDcCcCdDdCdDcDcCAaAadDcCdDdDACDdcCDdcaAacCcCdDcCdCaAdDcCBDdbdDaDbAaAaBdAaAdDBbcCBDdDdBbbaABBbbcDcCdCBAabaABDdBbDdDdbcDAacCcCcCdDdDACDdcCDdcacCcCACcCDdDdcacCACDdDdDdDdcCDdDdcaAacCcCdCcDACcadCdDaDaDaAdDdDaAaAbBbbAcBbBADDBccCcCcCcCcCCbdDBbBBbbBAAaAaabBAabBBbcCbddAAaaaAacBbCbBbBcCbBcCcBbCADDdDddacCcCbBcBbBbBbCbCaDaAaAdAcBcBbCbCcBAAaDdacCAAABAaAabbcCBbBbBBbbBaABAabCcBACDbBbbdDdDBDDdDdDddBdBbcabCcbBCcCcaaacCAAABbCcaAbBCcbcCBaACcaaaAAaDDBccCCBbAAaCcCcAaCcCcAaaBbccCCAAbBbBaCcAbBbBaaBbACcCcacCbddDDdDdDdDdDBccCCAaAAbBbBaabdDBbdDddAAbcCBBbBbBbaAaAbcCBBAaACBBbBbbcCDdDbcCbdDdDBDDdDdDdDddBbbBDDddDDdDdDddbBbdDBbBBdcCDdcaAabBAabBACBbBBbbDbbBBdDbBbBbBdBbBbcCcCBbcaAabBbaAaACcbcCcCcCBCcaACcaAbcCcCBBAabCcCcaaDdDdAAaAaaabBbBbCaAaDaAaAaAaAdDdDaAdDaAdAcCcCADDddAaAaDDddaaBbAaDdAaDaAaAdDdAcCaBBbbBBbBaAbBbbDaAdAaAaBbDaAaAaAdAaDdBBbbDaAaAaAaAdDdDdAcBADdAaDdabCaDdBBdDaAdDbBbbDaAdAcBbBcCbCcCADdDdAaDDdDAcCaddaAAaaaBbAADdAaAaDDaAAAaAaDDDdDdDBDdDdbdcCaaAAaADdDAaBbBDdbAaBDdbAaAaAaAaAadcCDAaBDaAabaaAaAABAdDdbAaAadaBbAaAcCDBbdDBDabBbBbBAdbdDAadDddDaAaaABbAddDDaAaAcCdBbdcCAaaAaADBbBbdcdDCcdcCcCcCcCDCDDdBbBcCcCbDDddDaBbaAaAAcCaBbBbAaAaaABbAcCaADBDdDdDaAdbAadaBbAaaABbAaBbADdaADBDaAdDdDaAabBAdDaAdDabaAaaAABbBbBbcCBAabBbcCcCaABbcCaAaABAdbdDdDdaaAADBbdcCDAaAaBDdDabaAaAcCaABbBbaAaaAaAAaaAaAABAabBbaABbaAaAcCcCBbaaAAcCBAdbBDdbAaAadcCaAdDaBbADAaBbdaaAaABbaAaAAcCDAadaADddDcCdDaaAaABbaABbaAaAAdDcCcCaaAADBbdDdDdaaAAcCddAacCcdDCAaDBcCbDaADdcCaBbBbaAaAaABbADAadDAadaaAADAadaBbBbaAaAADdDdddDdDDDAaAadDdcCaBbaAaAaAADAaBDdDabcCBbaABbBbaAaaAABbcCcCBAdbAaBDaAaAdbBDdbAaddDDddBcCbBcCbDdDDAaAaAaBbAadaaAAddcCaaAAaAAaaAcdDCAacCAaDdcCcdDdcCcCDdDCcdcCDdDdcCcCcCDdcCDdcCcCDdDCDBcCbdcCAaaAAaaAaAAacdDCaAadDAaddaaAaAAaAaaDdDdDaAdDdBbAcCcCADdaaBBdDdcBdDbaAaAcdDcCCaAbBCcbBbdbBaADddDdDbAdDdDaCdDdDcAaBDdDBBdDdDdAaCdBAacCcCAabaADdDcCcDBbBbdCcABbaDBbbcCBdCcDdABbaAaDdDDcBbBbCcCDCaAABbAbBaBdDdDbBdDbAaacdDCaADBbdcCcbbBbBBdAAcCcCaadBbdCcAaCdDcDBbbaACcaAaACDaAaAaAdDaAdAbBbAaAaBaDbBbBaAaAbbBbAcBcBbCAAaAaabCAAaDdDDdDdDddAaDdAaDdAaaAAaaaDaAdAAacCcBbBcCcBbBbBbBbCbBbBcBbCbCcBcBbCbCADdacCADDaBBbbBdDdDDdbBdDBbDdbAaAaAaBBbbAAAaadDADBbDddaddDDADdAacCAacdDCcCAaDdcdcCDdcCcCDCadDAAaAaDBcCcCcCbDaBbaAaAaAaABbAcCcCddAacCAacdcCDdcCDCcCAaDdDBcCbdAacCDdAaDBbDDdcCddAaaAcdDCaddaaDdBBaAbBbbAAAaAaAaDDAcdcCcCcCcCcCDdcCDdDdDdDdDdDdDdDCcdcCcCDCDDaaAAcCaaAaABbAdDDdDBDdDdDaAdDaAdDabBAdbdDdcCcCaAaaAaAADAaBDabBAdDaAdDdDdDdDabcCBAdDdDdbAaBDdbdddAacdcCDCaaBbBdDDdDddDbBdDBbdDbAAcCAacdDdDCAaDdcCAaAaDDcCDdcCaaABbBbaABbBbaAAaBbBbBbaAADBbBDaAdDdbAaAaBDaAabaaAaAaAaAAcCaAaaAAaaAaAaAaAaAAcCaABAdDabaaAaAABAdbdaAcCDAaAadDBDaAdDdbBbBDabcCBbcCcCaaAABAabcCBAaAabcCcCcCaaAAaaAAaABAaAdbBDdDdDdbBDabcCaAaABAdDdDabBAdbddDaBbBbaAAcCDBDaAdbAaAaBDabaAcCBAaAaAabBbaAcCBAabBAabcCaaAaAaAAaaAABbaaAaAAcCaaAAaAaAcCaABAdDdbBDdbBDaAabcCaAaABAdDdDaAdDaAaAaAdDdbAadcCcCaaABbBbAcCaaABbADBDdDdbdcCcCDAaAaBbBDdbAaBDabcCBbaAcCBbBbaAaaAaAaAAcCBbcCcCBAaAdDaAdDabcCaaAAcCBAabcCcCBAaAdbAaAadddAacCAaDDddadDaBbBbAAcCcCDBcCcCbDcCDAaddBcCcCbBbDaAddaaAdDaBdDbAADdDdaaBDdbAdDaAaBbAddaaDaAdDaAdBbAaBbDdDaAdBBbbDdAaBBbbDaAdAaDdDaAaAaAaAaAdBbBBbBdAdDaDaAaAaAdAdABbdDcCaDaccCcdDdDcbBCCaAbBbBcCccCCcCccbBcBccCCcddCBBbBCCcCcCAaAaBbAaBCBCBDcCcCdAcCcCaDdbBBbBbDcCdAaDdDDaAaAaAdcCDaAdDdcCdBbAcCcCcCaDcCdAaDdbcCBBbAcCcCaAaAcCcCaDDddbBbcbBCBbBAaAaBbBbDcCDdDaAddBbBbBbbcCBAcCcCaDDaAdDaAaAddBbAcCaDcCcCDddBbBbbBBbDcCDaAdcCDddDDaAaAddDcCDdDaAaAaAaAaAddAcCcCcCaDcCcCdBbBbAaAabcbBCBDcCcCcCDddbBbcbcCDCAAaBbBcCcCcCbBbDbBbBdDdBbBcCbDbBdaAAAaaAAcCaaDdAAaAaaDbBdDdDbBdaADdaaAaAbBADdDdBbabBcDdCcDcbBBbCcCdDaBbAdDcCcbBCaAaBDdbbBbBBbAccCBbCccCbBCaBDdDdDdDdDdbbBbBBDdDdDdbAcCcbBbBCcbBBbcCCcBbcCcCbBbBBbbBbBCddBbDdBCcCBDcCdAaBbBbBbbBDdAcCaAcCaDdAaDDaAdcCcCdbBbBbBAaAcCcCaAaBbbcbcCcbaAAaBCAAaaDCcDcbBBbCdCcDdCaaadDdDAadDdDAAaadDdDAABbaAAaBbBbBbBbBbaaAABbBbAAaABbDdDdBbacCaAbBADdAAcCcCaaacDdDaAdDabBbBAddAaAAaAaaaaAABCBBbAcCabcCBAcCaDdAcCcCabBbcbDDccCbBCcBbbBCccCcCCdDaBDdDdDdbBbAcBbcCCcBbcCCcBbbBBbBbBbBbBbBbbBBbcCcCBbBbBbbBBbBbcCCdCbBAAaAaBcCcCbDbBdAAaAaAcCaaaaaaAAAcCcDccCbBcCcCBbbBCaAaAdDaAcBbCabBBbAdDcCabBbBAcCabBbBAdDcBbBbBbBbbBbBBbBbcCbBBbCddBbcbaABbAaaAaAcCBCaABCBAcCaBbBbbBBbBbDdBbBbDDdDaAaAdDdcCdBbbBbcbcbAaAaBCcbaAAaAaBCDdaAaaAAcCcCDdcbBCAaaaBCcaBbAacbBCAbAADDddcCDCbBaAaAcDcCddBCBAcCcCaAaBbDDddAaDdDDaAaAaAdDddDcCcCDaAdDddbBbcbAaaAcCDCABbDbBbBdBcCcCbAAcCcCcCaAaAcCaAcCaaAAaAcCaaAaDbBdAAaaaAabBABbacDabBAdCcCAAAcCcCcCcCcCaaDdaaaAAbBcDaBDdDdDdDdDdDdbAcBbbBCabBAabBBDdDdbAcbBBbbBBbcCbBcCcCBbBbCcCddDdaaAaAaAaBaBbDdDdAacCcbBCDdDdACcacbBbBbBbBCcCAacCcbBbBbBbBbBCAbAABCcbcbAacCBbccBAaAAaabCCaAaAAaaAAaAaBbcCaAcCaAccbBCcbbBBbbcaAaBbACcDDDbbDDddDDddBcDBbdcCDdCBaAbADdDDCcAaBcCbCbCcBcAaAaBDDaADdaADdDdCCccdAadDdBbaADdBbaAcCDDddBbbCbCDdcBbCCccBbBcAaCbCCccBcdDCbCDBCCccbBCcbdCcDAaACccCadCcCccCcCDdDBCCBbccbACDdcadDACcCccBbBDdDdbBDdbBDdbBDdbCcBbBDdDdbBbCCcCDdcCDbBaCcCcCcAaCcAdDdcCDaAdDbBbDdDdBaCcCcAdccBDdDdDdbBDdDdbBbBbCcBbCCDbDdDdBbBdccBbBDdDdbCcBbBbBbBDdbBbBbBDdDdDdDdDdbCcBbBDdDdbBDdbBDdbBDdbBbBbCcCadDBCCBbccCCccCCBbccbAadCcCcCcDdCcDAaBbACccCadcBbCcCcCCccCCccCDdcBcddaBaDdDdAaDdAbAaccCDBbdcCcCcCcCCbDdBBaAbAabBbDbBdBcDdcCCcDBcAaBbCbdCbDdBbBAaAabBcCBbBaAdCaAAaAaaAAaAaadBBCcCcCcbbDAcCcBbCAaAaAaaAbCCcbdDBCCcCcCaAaAaABdCcABBbbaCdDcCdDdBcCbaAabDdBAabBbDdaaAaBbBbBbBbBbAABbBABcCcCbBbabDdcCBADcCdaADdDdDdDdaADdBcCcCbBcCbBAacCAacCABbBbacCcCbBbDcAaAaDBbbBBbDcBbCdBbBbdDbaABDdDAadDcBbBbCcBbCcBbBbCdDAacBbBbBbBbCDCcbBbaAbBBddbcCCDbbBbDdDdBbBBdcccCCccCCbdaAaAbCcCaDBbBbBbdaaAAAaAdDdDaDdDdDBbBbBbBbBbBbBbBbBbdaaAADBbdaaAaAAAdDaAcCdDaaaAADBbBbBbdAaAaaADBbdDdAcCcAdDdDdDaCcCaAcCdDcCcBbBDddDDdbAdACDdcBbCAaDdDdDdcaDaBaADdDBbdaAaAbAaBDdbCaaAaaAADdDBbdAdDdDdDcAdDaAdACcaAaDdDaAdACcCcaACcCDdcBbBbBbaDaBDBbBBdDDDCABbacCABbAaBbBbAaBbAaAbBaaDBbdAAaaDdDdDdDdcdDdDdddCcCcAaDDcBbCDdcCcBbCcCcCAacBbCAaDCABbAaaaAcdDCcbBCDdaAAacbAaBbbBbBBdcBbBbBbCAAcBbBbBbBbBbCaaDCaAcCDdcCAaDBbBbBbdcbAaaAAaBdcBbBbBbCcCcBbBbCDbBbAaBbbBaAAaAaAaAaAaaAbBBddbCAdAaABAdDcCdDdDaAdDdDdDabBAcCcCdDdDdDdDdDdDdDaDdAaAaBbAaBbBbbBDdAabdDBAaDdDdbdDaDbBbBaAdAdDdDdDcDAadDcCcCcCAadDdCBAaDdBbAdDdDaBbDdBbBbAabdDBDdAdDdDaAcCaBbBbDdbaDdDacaAaAcdDdDcbbACcaBdDDddcCDDDddBCCaAcccBccCdDdDDbbDdDdBcCbDDddDbBdBADDBBbDAcCadcCaAaAbCbCCccBcCbBbCcCDBbAcBDdbCCcaBCCcCBbccCCBbBbBbBbcCcCBbBbcCBbBbcCccCcbACcaBbdDdDAaAaAadCccBcCcAaBDAAaaAadcCDABDdCcbcCBDDddCdDaAaAaaAaAaAAaAaAdDcbcCADdAABbCcCcaaAaDdDdbBDdDdacCcCAaadBbbAaddDDBbdDAaBbAaCbBbCCcDBCCccCCBbBbccCCBbccbdcBcCbBcdDCcAaBbCbBcBaADABbAacCadaADdBbaABbaAaAaAaAaAaAbBcCBbcCbdDCcAaBbAadDCcBBbBbcCBbDAAAcCdCdBbDcBbBbBbCcBbCcCcCdBbBbDcBbDaaaAAAACcBbadBbCdBbBbDdDdBbDdDdDcCcDcCcCdBbDABbacCcCdDcCcCcCcCAaaDdacCcCBDdbBCdCAbDADACcacCbBcCdabBCcdDdDAaCBbCccAabBCBbBbcbBADcCbBDdcCDDBaAbAaddACcadDDdbBDDACcabBACcCcaBaAaAbACcabcAaAaCBACcCcCcabcCBBbACcaddbBAaDdDDACcabBBaAbdDBbdDdDAaddDDAaACcCcCcCcCcaBaAaAbAaddcCDdACbBdDdDBbbbBBbBcadDcCcCACcacCDDACcCcCcCcCcCcabBbcAaAaAaAaCcCBBaAbbcCBdDBaAbbcCBdDddDDdDddcCbBcCAadDcCdDdabBCCcCcBbBbCcCcBbCccADdDDDAaAaBbBbAaBaAaAaAaAbbBBaAaAaAaAbdDdDddACbBbbBbaCCccCcABBcacCACcacCDdcCcCcCdaADcCcCdadBacDdDcCaaAaAAdCcCcCAbDbBdDCBbBbBbCcCcCcBbcCCcBbBbcCcdBbDdDADACdDdDBDdaAbdDBbdDbCcbaABCcDaAcbBCcCcCcCaAcCaAcCaAdbaCcAaAaABCcbBbBDaAdCdDdDCcCcCcCcCDbBbBbBbBdBbBbccCCcCDdccbBBbbaCcCcABBcCBDdbBDdDcCdbbBbCcDcCcCaAaAcCaAaAdDaAcCdDcCaAdbBDaAdBBbbDdCdDCBbcdDcDaAdbaAaAaCcAaCcABBBbBaADdaAbBaAbBbcCbbBDcbDdDdBbDdBbDdDCCabBbBAabBAabBAabBbBbBbBbBbBbBAabBAccCCcbBCcCaABbaAaABbBbcbBbBCBbccCbBbBbBCabBAcbBbBbBcCcCcdBbDdDdDCbBcCcCcCCcCccdBbDCcCcdDCcCCBbcbBbBCBbcbBCaAaABbccCCaABbabBbBABbabBbBbBbBbBABbcbBcdDCcdDdDdBCdDaAcCaAdCCcdDdDcCdDCcCcCBbDdDdcCDbBbBbBbBbBbBdBbDdBbcdDCccCcBdDcCdDcCBDcCdDdDdDcCdbdDbCdDCcdDcDdDaAdCCcdDCccDcbDdBbDCbBcdBCcbBbBCcCaAcCaAcCcCdDcCcbDdDCCcCcbBbBCBbcCBbcCcCaAcCcCcCBbaAaAcCBbccdBCdDaAaAdbBCcDaAdDcbDCbBbBbBbBbBbBcCCBbabBbBAabBbBABbabBAccCcCbBbBbBcCCcCBbaAaAccdBCcbBCaAcbDdDCbBbBcdDdDdBbDCCccdDdDdDdBbBbDdDCCcCaAabBAabBAccdDCCBbaAaAaAaAaABbaAccCbBbBbBcCbBcdBbDCCabBAcbBbBbBcCCBbBbccCCccCCabBAabBAabBbBbBbBAaAcbBcCbBcCcCcdBCdCcbBbBBbBdDBbbCCBbccDaAaAcbDdDCcCcCbBcCcCCcCcCabBAcbBbBbBcCcCCBbBbcbBCBbabBbBAaABbcbBCcCaAcCccCbBbBbBCaAabBbBAcbBCabBABbabBAccCcdDCbBCBbaAabBABbBbBbabBbBAccdBbBCaAcCdCdDCcCDbBbBdBbDbBdBbBbBbBbBbDdDdcdDcbBCcCcCcCdDCDbBdDbBdDdBbcCccCCcdDdDcBcaDDBaAbAaACcCcaAabBddcCDdcCDDbcAaAaCBddAabBdabBbBdBacCAbDdBbDdBacCAaAbDAabBCBbBbCcBbcCBbCccdBbBbDAaCcbBdDCCccAaCBbBbcdDdDbBdDdDADbBbBdDDdbBAaAacCdaCCcBbBbCcCcCcBbCcBbcAaCcbBADDDACcCcCcCcaAaAaBaAaAbAadddDAaDDAaBaAaAbddcCcCcCAacCDdbBcCACdDcadabBbBAabBdBacDdCAbBbBbDdBaAaAaAaAaAaAacCAacCAacCcCcDaaAAaaAAaAdCAaAacCAbDbBCcADdabBAadBacCAaAaAaAbDAabBADAaACcabBdabBADdabBCCcCccdDAadDCcbBdBaAacCAacCAbDbBbBAaCBbBbcbBCBbCcCccbBdBbBbBaAaAaAbBacDdDcCcCaaAaAAcDdbcCBCcDBaDdDdDdDddDDdDdAaDdAbDdBbDddCcDDdBBdDdDbbdCcCcCaAcDDddDDddbcCBbaDDddDdAADdbBDdDdaBCaAcCdDaaAaAAdDdDaaAAcbcCcCaAaABbADdaaAAAABbBbaaDdacCAaADdaaDDddDCcaAaACcdDaAaAddcCBbBbBbcCbAaBbCbBcAaAaAadDBDDCCccCCBaBcCbBDdbAaBcCbBDdbBDaBbBbAdbBcCDdcCcCcCDaAdDdbAaBDaBbAaAdDaBcdDCcdDdDdDCcdDdDCbBbBcdDdDCcdDdDdDdDCbBcdDCbAaAaAdDdcCDaAaAaAaBcdDCcdDdDdDCcCbAaBbBbBbAdbAaAbccaACcDdDdaACcaADdDdaAdAADdAABbacCaAcCcCdDcCcCdCdBbDcCdDcDcCcCdCdDcBbDdBbDaDdbBaAAcCdCdDcCcCdDdDdBbBbBbDcBbCcDACcaaDdaAAcCACcaACcBbBbBbCcacCdCcBbCcCcDdDACcaAadCdDcDabBAcCAacCcCdBbCdDcBbCdBbBbDdBbDcCcDcCcCACcadBbCdDcBbBbDAacCdDAaaDdacCaAaAAacCadbBcCDDdAcCADdbBAAaaAabBbBacCcCcCBbcCADdbBbBDdDdAaaAaaDaAddbddaAabDbAdDaAdDdDdDaBDddDbAdDdDdDaAdDaBbBDdbAaBDdbAaBbAaAdDdDaBDdDdbAdDdDaAaAaAdDaAaBbAdDdDaAaBDdbAdDdDaBDdDddBcDBcBbAaCbdDBbBcBbAaAbBaDdCbBbBcDdDdAaBbBbCbBcAaDdCbdcCCccCDdCACbBbBbBAabBcCAaACcacCbBcDdabDbAaBbAaAdDdDdDaAaAaAdDaBDddDbAaBbAdDaAdDdDdDaAdDaBDdDddBbBAabBbBbBbBccCCAaADDBBbbdDAaCbBbBbBcBaAcCcCBbDdBbDDddBbDdBbbBcCbCcBcCDABbcCAAcCcCcCdDACcaaaAAACcBbaabBaaDaADdaACcdAcCaAAAdBbCdBbBbBbDdBbBbDdDcBbDdDaacCadaAaAbCbBcdDCcCcCbBbBbCCccCcCDBbACcCcaAcBDdbCcCadCccCDBCcCcbdcCCcCcDAcCaBCcCCccbBCcbAadcCCcDAadCcDBCcCcCcbBbdDBCCcCBbBbBbBbccbdDBCcCcbACccCaBCcbBbAcBDdDdDdDdDdDdbCaBCcbACcaBCCccbdcBbCCcDdCcCcDAaAaBbAaACDbDdDdBdcaAaACcCDaCcCcAdcCcadDdCcCccCCcCccCcCDAaAcBbCadDAcBDdDdbBDdbBDdDdDdbBbCCDaAbDdDdDdDdBbDdDdDdBaAaAaAaCcAbBaCcAaAaAaCcAaAbBaAdDaAaCcCcAbDdDdBbDdDdDdDdDdBdDbDdBdcaAcCCcaAaAaACccCCcCDdcaBCCcCccCcCCBbBbcCBbccbdcCCccCDdDACDbDdDdDdBaCcAbBbDdBbDdDdBaAbDdDdDdBbBdDbBdDdccCCDdDdDdcCDbDdBaAaCcCcCcAdDaCcAbBdDaCcCcCcCcCcAaCcAaCcCcAbBbBdDbBdcadcCDAcBDdbCadCcCcDAcCCDaAaCcCcCcCcAbDdBbDdBbDdDdDdBbDdBdDdDdcaAcBbCCccBDdDdbBDdDdbBDdbBDdbCadDACcaBCcCCBbBbccbBCCBbcCcCBbccbdDdCcDAadcBbBbBcCbCcCDAaACDdDbBdDaAaCcCcCcCcCcCcCcCcCcAbDdDdBbDdDdDdDdBdcCcaBbdCcDdCcCcCccBbBbBcdDddDdaACbBbBbBcDdaACcabDdDbAaAdDdDaBbBDddDbAaBdDDddDbBDdDddBcDBcCcCcCbBcBbAaBbAbBaAaAaDdCbBbdDBcBbBbDdDdBbCbdcCDdcCDBcCcAaCbdDBcAbDdBaDdDdCcAbBaBbCcCbBcAbDdDdDdBbDdBaAaAbBaBbDdAbBaCcDdCcCcBbCcBbBbAbDdBbDdDdBaCcBbAaBbDdCbdCbDbAaBbAaBbBdDbBdDDdbBbAdDaAdDaBdDDddBBdcCBbdbBdDDcCcCDdcCBBdDdDBDdbBbdDBAaAaAaDDBBDdbBDdbbBbddcBAabaACcCAAaAaacaABDdAaAaAaDdAaBCCCccBAaAaDdDdDdDdAaAaAaDdbCCBbccBAaAabdbBbAaAaBbBDdbAaBaADdbBaAbBDCCBDdDdDdDdDdbcAaccbDdAaBbAabCAacddaCcCBbcAbbBbBbBBaAbbDdDdBbBbBBaAbbBbDdDdBbDdBbDdDdDdDdDdDdDdDdDdDdBbBBDDBAaDdbCcddbbBBDDaAaAaAddbBaAaCBbcAbbDdDdBBDDCbdDBDDBbdCaAaAADDAacCaDdBbAaBbAAaaDCcCaAaAcCcdDCcCcCaAcCaAaAaAcdBbBbBbDdDdAddDdaaBdaaaAAADdaACcCddaADCcDcaacBbCaAAAaACdCBbBBbbBbcDdCcdDDddBcaBbACcCACcaAabaADDddaAaADCcDddaAbBbBDCcCBbBbBBccCCccDdDdDdDdCCaAaAccDdCCccDdCCcCccCCbbcDdCcDdCBbBBbBccCCaAbBbbcCcdaADDcDDCBbBBbCdAaDcCdAaBbDdAaDcbBBbBbbcddaAaadDaAaAaAAAaacBbbBbBCcBbbBBbbBCAacBbCcbBbBCDdaAcBbBbBbBbBbBbCaAAadDdDDdAadDAacCAaDdAACdCBBccDdDdCcCCcCaAcCbbBBccDdCCcCccDdDdDdDdDdCcDdCCaAaAaAaAccDdDdDdDdDdDdDdDdDdCCccDdDdDdCcDdCCbbBBaAbBaAaAcCcCaAccCCbBcCcCbbcDdCBBaAaAcCbbBBbbcCBBaAaAbBccDdCCbbcdBcCbbBaAbBaAbBbBbBaAaADdaADdbBDdaABcCcaBbACbBAabaAaAbBDDcCcCddaADCcDdCcDdDcaaDddDDdAaaAdDaAdDDdaAdDDdDdDdaADdcCDdAacbBBbCdDcCdDDddDaAcBbbBCaAAACdCBbcDdCBBaAcCcCbBcCbBcCaAaAcCccCcCcDdCCbbBbcDdDddbBDdDCBbcDdDcCcDdDDCbBDdcCDdBCdAaAaAaAaAaBbAaAaDaCbaABcBbBbAcbBBbBbCdBbAaDdDdDcBbCaBbAcBbbcddCddbBbBDDdCcDcDcCbBcaDBbbcaACBbcaACcadDAaAaAaAadDdDdDADdCcadDdDADbBDddCcaADbBDdbBbBbBDdbBdCBbBBbaABbbcaACcCcCcDdCcDDdDdbBDdDdbBbBdDdDbBdCcDDdbBDdbBDdbBDdDdDddadDACcDDddCBbBaAbcDDdbBbBbBdCcDdCcaACBaAaAdDbcadDACcaACcDdadDdDAaADDddaACcDbBdDDddadDAadDdDADDdbBbBdaACBbcCBBbbcaAadDdDdDdDdDdDdDADDdDdbBDddaACcCBdDdACDdBaBcCbAbcCbAaBcCDCDCcCcdcdcCDdBbcCbBbBbAcCcCaBbAaAcCaAcCcDdCcdAabbAaAddDDAaaBCcaACcbBaACcBcdDBAaAaBbbdDCcaACAacaACbaAbAddDdDdDDAaAaabDdBBbbcCCAaAaccCDaDaCcCcCcAbBdcBdDDBCCbdDBbCCcCCccCcAAdbBDdDdDdDdbBDCcaBbAaaCCcCcCccCcCCccCCcccBbdAaDCCCcCcCccCCcCcCcCcCcCcCcCccAAdbBDdbBDCcCcaDdDdAaAaacdAaDBcDBBbBbbAaBDdBbBbDdbdcCDAaAaAaAadCbCcCcBbdAaDBbdAaAaDBcccCAabDddAAbBBdDdDdDbAaAAaabBBCDdcdDdDbbBDdBdDdDbDdDdDdbBaAAaBbaABbbBaadDdDdDbCDaAaCcAaAdAacadDdDACDbCABbBAACcCcCcaACcCcaaAAaabBAaAaAAaabaAaAabaAbBbBaABAacCcCbBbBbaADdaABAacCcBdDdAacBdDdDbCcBDddDbcCCAbAaBbACbBcaBbcDBbdDBbdCBbcDdcCDdDdcCcCCcDdcCCccCcCcCDdCbBbDdDbAdDaBDddDbAaAaBbBdBbBBdBAaAAaaBaAbbCbBbCCcCCcdDdDdDdDdDCCcaAaAbdbBbCcBDBCDaAbBaAbbBbBbBBaAdcbdbCcCaaADBbBbdAdDaDBbdAaDdAdDdDdDaDdAaaADdAcBDBBbBbcCCDaAbBbBaAaAdAaDbbBbAcBbBbCaBbAaBBdDdAaAbAaBaAdAdDcCBDdbaDbAaAaAaAaBdDbBdABAdDdDcCaDdBbAdDaDdBbDdbaABbcDcCdCBAcCcCcCcCdDcCabaDdAdDcDACcaACDdcCcCcCcaAadCaDbBbAaAaAaAaAaBdAaAdDaDbAaBaAbAaBbAaBaAdAdDcDdCaAaAaABbcCcDACcaACcCcacCdCaAaAdDdDaDaccdDcCcCCaACDaAbbDaAdAcCaBBdcbBaABbCAdAdDdDdDcCaAcDAacCdCaDbAaBaAbAaBaDbbAcBcCAAaAaDdaAacCcBbBbCbCaAAAaDDAaAAacdDdcCDdcCcCcCcCcCcCDCDBbBbBbdDdAaaaBbBBbdDDdbAADdcdDdcCDCcdDdcCDdcCcCcCcCcCDCaADBbBbdadDdDaAAcCaAaaBBbBbdDDdbAddDDAAaDdadDaBdDDdDdDddDbBdDbAdDAAacdDdcCDdDCcdcCcCcCDdDdDdcCDdcCcCDCaaBbAdDAadDADDcCaBbaAAaBbADAaBDdDaAdbdcCcCdBbDcCDdDdcCdBbDDAaddDdBcCcCcCcCbDaAddAaDdDDcCcCaBbAdDdBcCcCbDDAaAadcCaaAaAAaAaADBbAaBbBDdDdDabaABAdDaAaAabcCaaAAcCaABbBAdbAaAaAaAadDdDddBbdDdDDcCaBbADBDaAaAaAdDdbAadDBbBDabBAdbdaAaBbAcCDdaAddcCcdDCAaDDcCaaAAaAdBbdAaadDaAAcdDdcCDdcCDCaaAaAaAdDddDdDdAaDDddDdAaAaaaDdBBdcbBCccCBbCAdAcDdCcCcDdDcCAadDcCAadDcCcCcCAaACcCcadDcCAaAaAacCdCcDdDcCACDdDdcacCdCdDdDdDaDbBdAaAdDdDBBbBbbBAcCabdDdDBbdDdDaAaDdAcCdDcCcCaDbBdDbBbAaAaAaAaAaAaAaAaAaAaAaAaAaBaAdAcCdDdDcCBAcCcCdDcCcCaBbbdDdDcCBbcCdDdDaAcDdDcCACcCDdDdcaACDdcCDdcacCdDdCaDacaAbBCDdDbBdcCccdDccCCdDcbbBDDddBCCaAaAcCCDdDdDaAaAaAaAaAaAbbDdBbDdBBdcaAaABBbdCdaADcABBbBAaAabbaCdabDdDdaAcCDdBbabBbBbBAcCDdaaAAcCBbaaBbAaAbBbBAcCaAabBbBaAADdcCcCBbDdDdaAcCDdabBAaaBbAAaAcCDdDdBbDdBADcDBbBbbaAaAbBaAcCbdDBbddDdDdDbBDdaAaAaAbCcBbCcAdDaBDBbdDddDDBCcaABBbdDbBdAaABbBbBbaCdabcCcCDdcCcCaaBbAAcCDdaaBbAABADdBABbBbBbabBbaAaAabaaAaBbAbBAabBbBADdBbBADcDBbBbbbBCcCAbBbAaAaBdABBbDdAaAcCcCdDabdDdDBDdbcCBBbAaAaBbAcCdDaAcCdDabdDaAcCaDdDdDaDdAaDdDbBbBaAdDdDaAbBaAaAbbDdDdBbAaBbBBaAdcBDAAcBbBbBbBbBbCaAcBbBbCcCcBbBbCcCcBbBbBbCcCcCaaDbAabBBCaAAAaBbAbBaAaAbBbBbBbBbBbBaaaADBbdABdDbAbBbBaaDdaAaAcdcBbCDCABbAaBbAaBbAbBaAaaAAaBbAbBaAbBbBbBbBaaaADBbdAaAaaAABbBbAbBbBbBaAaAbBbBbBbBaAaBbacdAAaaDCAAbBbBbBaAaAaAbBaBdDbBdDdDdDdDdDbBdDbaaAcbBCcdAAcCaaAaDCAacCcCDBbdABdDbaaAcbAaaAAaAaaAaAaAaAAaaABbBCAacCAaDdcCcbBbbBaAbBBbaAAaAaaAbBBbBdAadbcCcdDccBAaccCDbcDdCccCCbBbBBaccCCDbBbCbDdDdbBBbbBDdDdDdbBDdBAacCABbaABAaAACcCcaAaACcaaAaAACcCcCcCcaAaAaaAaAaAACcCcaACcCcCcaACcaabBAaAACcCcCcCcCcCcaabBAACcCcCcCcCcCcCcaabacBaCcAdAaDaAbCbDdbBBbBAacCbaAbBDdaAbBDdbBbBBAaAacBbBaAbBdAdBBbAAadDAaabDaAbBbcDBcBbAbDdBaBbAbBaAbDdDdDdDdBbDdBaCcAbBaCbdCbDDdDddBbDdBBdDddbAaACcCAbdDBaCBBbbdDBbBbBbdDcCcCcCdAaCBbBbcaAAaCCccaACbBCcBbCcCcCcbBCcCcBACcCBAAaaAabBbcDBbBbBbdCBABbabBbcCcDdAaCBbcabBbCcCccaADdCCcCcbDdBbBCcbBbDdDdBbDdDdDdDdDdDdDdBcDdaACcAaCBAAaAaDdDdCBAAaAaBbAcCcCbBcCCcaaAACcCcaAbAaBbBCcbACccCCcCcaAaAcCCcCccCCcaAcCCcaBbBCccCbAaBCcaaAAaBbabcDdabBbBAabcaAaAAaAaDccccCCaBdCBBBBbBbAAaaAabbbAaBBbbBBbBbBBbBBbbCCAaaAccBAaBbbCcBbBbBbCcBAAaaBbbbBbBCCaABbBCAAaaAacCcCBbAaDDabBAaAabBAdDccCBbBbbBBbcCBbcCcCBbBbcCbBbBbBCcbBbBbBcCBbBbBbCccCCddAAaacbAaAaaABbaABCBbcCaaBbAaAaAAAaBCcbDDdDdDccCbBbBCddBCcbaaAaBCBDaAcDcCaAcCdDaDBbdAaDdDdDdDBDdCcbdDdAaAcCaDBbBbdDdAdDdDdDaDdDdDdDBbdAdDdDdCcDcCaAaDBDdDdbdDBAaDdDdDdCaDdDdAaAcCaDdDdAaDdAcCaDdDdDdDdAcDdbdAdCcDaDdAdCdBcCbDcDaAaDdAcCcCdDcCcCcCdDdDaAdCcCcCdbBDaabBAAcCaAaAaabdDBDdbdDdDdDdDdDdDdDBDdABbBbacCAaDdAAaBcCbacCbdDdDdDdDdDBAaAAcDaAaDdAdCaAdbBbBDcCdBcCbbcbBaAacbBbBCcCBbAaBbBbcCBbDdcCcbBCcbBCBbBbBbBbDdAbBCBBbBbBbBbbBbcCBDaBcCcCbaDdbBcCbdDdDBcCDdDdcCAabdDBABcCbaDdbdDdDdDBAAaBcCbacCDdbBbBDdDdbdDBAAdbBbBbBDcDdCaaABbBbBbaDdABbabdDdDBDdbdDdDdDdDdDBABbabdDBbdDBDdcCcCDdDdcCDdcCABbaDdbdDBAAdBcAaAaAbBaCcAbBaCcCbDaAaaDdDdcCcCbBcCbBABcCcCcCbabBcCcCDdDdbdDdDBAAcCdBbBcAaCcCcAaCcAaCcCcAbBbBaAaCbbBbcCBDaBbBcCbAdBcCcCbBbDaBbAcDdCaAaAcCcDcCdCdBcCbDcCdDcCaaDdDdcCDdDdDdDdbdDBDdDdAAdBbDcDaDBAaCaAcAaCaDdDdDdDdDdAaAcbBbBDdCcDdDdAaAaAaDdAabBAaCcDdCaAcDdAaAabBCcCaAaDdAaDdDdDdAaAaDdAaDdAcDdCaDdDdAaDdDdAcAaCcbBAaAabBbdDdDBAaAaCcDdbBAaAaDdDdCaAcDdbBDdDdCcCcAabBCcDdbdDBDdDdAaCcDdDdAaDdCcbBbBCcbBAaAaAaCaDdAaDdDdAcAaAabdDdDdAaDBAaCaAaDdDdAaAcbdDBDdCaAaDdDdAcbBCaAaDdDdAcCaAcDdbBCcbBAaCcCcbdAaDBCaDdDdDdDdAaAcAaDdDdbdDdDBDdAaAaDdAabBCcAaDdbBbBDdCaDdAaAaAaAaAcCaDdAcDdbdAcCdDdDaAdCaAdbBbBbcCcacCcbBCAbAaBacCDdBbcCcbBbBbBCAbAAcbBCAaaADCaAAaADbBdBcCcCcCbaaBbBbAADdDdAAaaAAaaabBcCaBbAABcCcCcCcCcCcCcCbaADdaaAcCcCAAaBbabBaaABbBbBbaadDAaAaAadDdDAAaadDAaAaAAAAAAaAcCcCcCaaabBcdAacCaaBCcCBbBbcaDdcCBbcbBbBbBbBbBbBCcCACBDcCcCaaDdcCcCcCDdbBDdbdDBAacCABcCcCcCbacCbdDBAAdbcbAADCbBcCABcCcCbacCABbAaaaBbaaAABbaadDAABbaadDAAaadDAadDAABbBbBbBbaaAABbaAAcCcdDCcdcCBbcCBCcbDCaaaAaAaAABbBbaaAaAAaadDAaAadDAadDAABbBbBbAaAAabBcCbBbBbBaaAaaAadDdDdDAadDAaAAaaAaAadDAAAbBcDaAddaaAaBCcbBbAaAaBbAaAaBbBCBDaacCABbAdbBbcbAaBCcbBCcCBDaaABcCbBbAdDcDcCdCaacCcCbBDdDdbBcCDdDdAAaAaaDdcCDdDdAaDdDdABcCbBcCbAcDcCdCcDcCaDdDBAabBCcbdDdDBDdbBDdbBAaCaDdAaAaAaDdAaDdDdDdDdDdDdDdDdAcDdAaCaDdDdDdDdAaAaDdAcbBCcbBCaDdAaAcbdAcCcCaAdCaBbBbAcCdBbDaBbacCcCAaDdbdDdDdDBcCDdcCDdbdDBcCbdDdDdDdDdDBAAdDcDdDcCcCdDcCdCdbcbBCcaBbBbAaDdAaDdACcaDdBbcCcbBCDdcbBbBCDdcbBbBbBCBbBbcbBCDdBbBbACBBcCbDdBcAbBbBbBbBaAaAbBaAbBbBaAbBaCcCcAbBaAaCbBcAbBaCcCbDdbcacCBbDdBbBbACBDcCcDcCdDdDaDBbdAdDdDcCaAcCdDaDBCcbdAaDdDdAaDBAaAaCaAaAcAabdDdDBDdCcAabdAcCcCcCdCcDaAcCcCdCdDcDdDdDdCaBcCbAaAcDdCcDcCcCdCcCcDaAaDdDdAdCdBbDaacCcCbBbdDBAabdDBAAdBbbcCBBbbcCBbBDdDaAcDdDdDaDBCaAaAaDdDdAaDdAcbBCcCaDdDdDdDdAaAaAaAcDdDdDdAaCcAaCaDdAcDdCaAcCcbBDdCcCaAaDdAcAabdAdDaDdAdDaDBCcDdDdAaAaAaAaDdbBCcAaDdAaDdbBDdbBDdCcCcbdAcCdCaabdDdDBcCbdDdDBDdAaDdbBDdcCAaABcCcCbBcCbAdbBbBDaAcDdCcDaDdDBCcbBbBbBDdAabdDdAdCaAcCdBbBbbBbBbBDaAaBbBbacCbBDdcCAaDdDdABbacCbdDBAabdDBcCbdDdDdDBcCbBDdbdDdDdDBAAdBbbBDdbcaDdDdBbcbBbBbBbBbBCBbACcCcaAaAaACcCBDdDdDcDdCaAcDcCaAdDdDaAdDaAcCaDBbdAdCcCaBcCcCbAaAdDcDaAaDdAdDaAcCcCaDBCcbdAaAdCaacCAacCcCAAdDcDaAdDdDaAdCcDcCdDaAaAdDdDdCcDcCaDBAaAaCaDdDdDdDdAcbdAdDdCaAdBbbcCcCcbBaDdDdcbBCDdBbACcbBaDdcCcbBCDdAbAAcCBbBbaaBaAbBCcaAaDdAbBCBbcCBBbDaabBbBAAdBbbcCBBcCcCcAbBaAaCbBcCcAaCcAaCcAaAbBaAaAaAbBaCcCcCbDcDaDdAaAdDaDdDdDdAdDcCcCaAcCaDBbBDdDdDdDdbBAaAaAaAabdAaAcCdDdCcCcDdCcCdBbDcDaDBbdDBbBAabdAcCcCcCaAdCcCdBbDcDdCaBbBcCbBcCcCbBcCcCbBbAaaABbBcCbAdDcCcCcDdCcCdBcAbBaCbDaBcCcCbAcDaDBbBbdDBbBAaCcCcCcDdCcbdAdDdDcCdDdDdCcDcCaAaAdDaAdDcCcCdDcCcCaDdDdAdDcCcCaDdDdDBbdAcCdCaaDdcCABcCcCbBbabdDBDdbBDdbBABbAcCdbBBcCcCcAbBbBaAaCcAbBaAbBaCbBcAbBbBaAaAbBbBbBbBbBbBbBbBbBbBaAbBbBaCbBbBcCcAaCcCcCbDaAaAcDcCaDdDBAaAaDdAaAaAabBCaAcCcCcAabBbdAcCdCdbBBbBcCbbcacbBCACcCcCcCBDdBbBbBbDcDaDBDdAaAaDdDdDdCaAaAaDdAaAcbBbdAcCdCcDcCcCcCcCdDaDBDdbdAdDdCcDaDBCcDdbBCaAcDdAaCcCcDdAaDdAabdAdCdbBDcDcCdCaabdDdDdDBbdDBDdAAcDaDdDdAdDdCcDaDBAaAabBCaDdDdAaDdAaDdAaAaDdAaAcDdAabdAcCdCcCdBbDcCcDdCdbcaDdDdBbDdBbcbBCBbcbBCcCDdcCACBBbDdBbBbbBBbBbDcDdDcCdCdDaAdBbBcCcCcCcCcAaAaAaAbBaAbBaCcAaAaAaCcCcCbDaBbaDdcCcCAabBbBcCAabdDdDBcCDdAaDdbdDdDBDdcCABbabdDdDdDdDBAaDdbdDdDBbdDdDBcCAacCDdABbBcCcCbBbaDdDdcCcCAacCcCDdDdABcCcCcCcCcCbacCbdDBDdcCDdcCcCDdDdcCAAdBcCbbBBbBcAaAaAaAaCcCbbcbBaAaBbBbDdcbBCcbBbBbBbBbBCcCcCcbBbBbBbBbBbBCDdBbAacbBCAacCACcacCDdBbcbBCBbcCcbBCDdAaAbAaBbBaAacbBbBbBCDdBbAaBbDdAbBbBbAaBbBbAAaADDddAaDDabBAccCBbBbBbCdDdCbBaBbBbAbBaBbBbBbAbBbBcCADbBdDdAaaADbBdaaaaAAaAAaBbBbaABbaadDAaAaAaAAAAAAaaBbAaDbBdBcCbDdAaabBcDcbBBbCddAAaaaaAaBCcCcaBbBbBbBbBbAbAaBaBbDdBbcbBCAacbBbBCcCBbBbBbAacbBbBCAaBbDdDdDdBbDdDdBbAacCcCAbAaBbAABCBbBAabBbBDdAcCcCaDDaAddbBDcCDddAcCcCaBbBbBbAcCcCcCaBbAcCabBBbbBBbBbbcbcCaAAaAaBbAaAacCDDccCcCcCcCCcBbCddcCaADCcdAaaADdDdBCcCBAaBbBbBbBbAcCabBbBAaBbAaDdBbbcCBBbAcCcCaAcCaAabcCcbcCBCcCcbDdcCaABbDdDDccCcCBbCcCcbBBbcCbBbBCaBDdDdbBDdbbBAddcbBCBbcbccbBBAaBbAaAAacCaBbbCCaAccbBCcCCBbaAAaAaAaBCAAaAaAaacCaAAAaaAacCaaBaBbDdDdcCAaBbAacbBCDdACBDaBcCbBcCbacCDdDdDdAAaaAAdDdbBBcAbBbBaCbBbbBBbBcAaCcCcCcAaAbBbBaCcAaAaAaAaCbbcbBaAacbBbBbBCDdDdBbBbDdDdcCACBbcacCBbBbcbBbBbBbBbBbBbBCDdACcbAAaaAAAaDdAAaacCcbcCBCcbBbaAaAaAAaBCaABbaAcCDdcCBbcCBCcCcCBBbbcCBbBAcCaAcCcCabBAcCcCaBbAcCcCaDdbBAaDdAcCcCaAcCcCcCaBbDcCdDcCcCdbBDDaAdDaAdcCcCDaAaAaAaAddDdBbbBDdBbAcCcCcCcCcCaDdBbAabBbcbDDcbBCabBAcbBcCBbbBbBcCCcBbcCCddaaBCcacCACBDaAaAcCdBbbBDcCdDcDcCaDBDdAaCaDdAaDdAaAcAabBDdAaDdAaCaDdDdAcAabdDdDBAaCaAcDdAabBCaAcDdDdCaDdAaDdAaDdDdAaDdDdDdAcAabdDBDdAaAaCaAcDdbdDBAaCaDdAaDdAcDdDdCaAcAaDdCaDdDdAcbBAaAabdDdAcCdCaBbAcDdCcDaDBDdDdbdDdDdDdDdDBbdDdAaAcCdCaBcCbAaaDdAacCDdAAcDaDBDdDdbdDdAaDdAdDaAcCcCaDBDdDdbdAdDdDcCdCaacCAAaBbBcCcCbAcCaaDdcCDdDdAabBbdDBbdDBAacCcCABbAcDdCaAdDcCaacCbdDdDBbBDdDdbdDBAaAAcCdBcAbBaAaAbBaAbBbBaCbbBDcDaDdAdDaAcCaAaDBCaDdDdAcbdAaDBbdAdCcDaAaAaDdAdCaacCAAaBbBbaABbAcDcCdCcCcDaDBbdAaDdAdDdDcCaAaDdDBCaDdAaAaAaDdAaAaAaDdAcAaDdAaAaDdCcbBAaCcDdbdDBCaAaDdDdAaDdAcAaAaCaAcDdDdDdDdAabdDdAaDdAcCdDcCdDcCcCcCcCaDdDdAaAdCcCdDcDdCaBcCbBbAaaDdbBAaABcCbaAaABbAcCaaABcCcCcCcCcCcCcCbAaaABcCcCbBcCcCcCbAcCaBcCcCbBbabdDBABbabdDBcCbBcCDdbBDdbdDBAaDdAacCcCcCAabdDdDBAAaabBDdDdcCcCcCbBDdDdAaDdDdABbaDdcCDdAAcCdbBDaAaBbAdbBbcaBbDdDdDdBbcCAaACBbcbAABbaABbBCcbcbcCccbBCcBbCcbbAaBBBBbbBAAaabbBBBbAcCaBbbCcCCAaaAaAAaAacCcCBbBCcCBCBbBDcCdbcbcbcCBCcCAaaABbBbAaDDaAcbBcCBbcCBbbBCccCbBcCCddBbaADDaBbBDdbBDdDdDdDdbAcBbcCCdCaaaAAaaAAAbBbBaAAAAaAaaDdDbBbBbBbBdDdAaAAcCcCcCcCcCcCcCcCaaAaDdacdAAaaDCaaaAadDdDAadDdDAAAcCbBbBcdcbBCDdBCBBbbBAabcCcbAAaaaAcCDCADbBbBdabBADdAAaaAAaaabBAabBaAAAaAaBbDbBbBbBdDbBbBbBbBdaADdBcCcCcCcCcCcCcCbAaBbDbBdDdAaDbBbBdAAaAcCcCaaAaaADbBdBbabBAabBaAaBbaadDdDAaAadDdDdDAAaABbAaAaAaAaaadDAaAaAadDAaAadDdDAAAaBbaAAaaAAcdDDdDabBbBAcBbbBCdCcCABcCbabBbBbBADdDdDbBdaaAaaadDdDdDAAaAaABbaAaadDAABbaadDdDAadDAaAadDAadDdDAaAadDdDAaAadDdDAadDdDAadDAAAbBADdaAaAAaDdBbBcCbDbBbBbBdBbDdacCcDccCBbcCBbCaAaBbbBBbAdCaAbBbBcDddDDcbBBbcCbBBbbBcCcCBbbBcCbBbBcCbBBbcCBbcCcCCdDaBbAdDaBDdDdbBbbBAabBAdDdCbBcDabBBDdDdbbBAabBBbAcCddBCcCcCcCcbaaAaBCcbBCBDaabBAAaacCAaAacCDdDdDdcCAAdDaaDdABcCcCcCbacCbdDdDdDdDBbBDdAabdDdDdDBAAcCdDcCaacCcCcCDdcCcCbdDBAAaAcCdBbBcAaCcCbbBbBbBbcCBBbDdBbBbBcCcAaAbBbBaCcAbBbBbBbBbBbBaCbbBDdBbDaabBAAaBbBcCbBcCbAcDdDaAcCdCdDaAaAdbcbAaBCcCBBbbBBcCcCbDcDcCaDBAaCcDdbdAaAcCcCdCcCaAdBcCcAaAbBaAaCcAaCbDaaAAdDdDcDdCcDaAdDdCdbBBcCbBcCbBcCcAaAaCcAaAbBaCcAaCcCcAbBbBaAbBaCbBcAaAbBaCcCbBcAbBbBbBbBbBbBbBaAbBaCbBcCbbBDaabBAaAacCDdbdDBcCAacCbBbdDBDdABcCbaAaAabBbdDdDBAAaaDdDdcCbdDdDBbdDBAAdbBDaAaAcCcCaBcCbBbBcCcCcCbBcCbabdDdDdDBbdDBAAcDaDdAaDdDdDBbBbdDBbdAaAaDdAdDdCdBbbcbBbBbBCBbBDdbcCBDdBcAaAaCbbBBbBcAaCbBbbBDdDdBcAbBaAaCcAaAaCcAaCcCbbBBcCcCbBcCbbcCcCcaAbBCcCBbcaACcaDdBbBbDdcCAaAbBCBbcbAaBbAABbaAcbcCBCBbDDccCbBbBbBbBbBbBBbbBCabBBDdbbBbBAcbBcCbBbBcCbBbBBbCcBbCdCcCaBbBbBbAaaAAADbBbBbBbBdabBABbaAAaaaaAaaAaAAAcdAacCBCcbBbaaBCcaDdcbBbBbBbBbBbBCBbBbACBBcCcAaCcCcAaAaCbDdDcCcDcCdCdDaBcCcCbAaAcCdBcCcAbBaCbDdbcbAABCBBbAaDDaAaAaAddBbbcCBAcCaBbAaBbDdbcCcbAAaAaAaAaAaacbaAccbbAAaABCBbBbBbBAabBAabBbBAabcCcbBbaaAacaBbAaADbBDBBBcaAdDddaCcCBbcCBbBbBbBbBbcADDCcddbBbbBBaCBbBbcAbbBBbbDdDdDdBBaAbbBbBbDdDdDdDdDdDdDdDdBBaADdDDCDDBbBBDdDAadDdDAadbBbBbBDdbbBBbBDdDAaAaAadbbdCcdAaDDBBbBbbBBDAadDAadbbBbddcBAabBAabaAaAaAdDBAaAaDdBbAaBCcCCccCCcdbAaAaBDCCBDdDdbcccCdaADdaAaAbBbAaBDCCcccCdDdbBDBDdbdbBDCccbbddaCBbcADDBBbbdDddDDddbBbBaCBbBbcCcCcCcADDaACbaACcCcaACcdDdDbbddCcDdaBbACBBCCAaAaAaccBAcCcCcCcCaBbAcCaAaBbBbbbBbbAABCBbcbAaBbAAaACcaaBbAAbBcAbBbBaCaACcaAaAbBbBCcbBaACccAaCCcbBCccAaCbBbBaaBbaABCcbBCBbBAabBbcCcCcCcCcCBbBbBAaAaAabBAaAabcCcbaABCBbBbcbaAAAcCbBbBaaaAAaAAcCcAaCbBbBcCaaAaaAAaaAaAAaaacCBbAAAAaAaAbBaaAaaABCcCBbBbcbaABCBbcbaAaaBbcDDcCBAaAAaAaAaddDDdDdDdDAaabdbBbACcaBDddDdDdDDcCdDCaAbCbBcCCCBBbDDbAaBCcCaADdcdDdcCDCAAbBbBbBbBaAaAaaAAaAaAaacbaAaAaAbBAaBddbcCBbbBaAaACAacCDbBbbAAAaDDdDAcCcCcCaaAAaAaaAAAaaAaAAaaADBcCcCbBbBbDaaABbBbADBbddBcCbdcdcCDCDBbBbBbDDAaddDddDBbDDAaBbdddAaAacdDCAaDBbdDDdBcCcCbDaaAADAadcCDAaBbAaBDdDdbAaAadaAdDDAaAaBbAaBDdDdDaAdbBDdDabBAabaaAABbcCBbBAdDabaAcCBAdbAaBDdDdbAadcCddcCcdcCcCcCcCDdDCDBbDaaABbaAaAAddaAcCDDaBbaAaABbaABbAaBbBbBbAcCcCcCdBbDDBbBbdaAaAaaAaAAcCaBbBbAddDDcCDdcCdDaAaBbAcCaaABbAaaAaAaAaAaAAaADAaAaddBbDaaABbBbBbBbBbBbBbBbBbAaBbADAaBbdaaAAaAdDcCcCcCdBbBbDDddDdBcCcCcCbBbdAaAaDdAaaADBbdcdDdcCDCAaDdAaDBcCcCcCcCcCcCcCcCbdAaDdDBcCbdDDdDcCddadDaAaBdDbAaAdDddAaDdaaAcBbBAAABACcabbBCcaaabCAAaDdAaAaDdacCcCAAaAaaAaaBBdAbAaAaAaBaDaAbBaAdcbdDBBDcCcBbBbBbCcCcCdBbBbBbbaAaAaAbBccbBbDDdDdDdDdDddDddcdDbcCBdDbBCaAaAaAcbcCBdDdDdDCcdDbcAaCcAaDdAaCBbBCadDAcCaAaAadDAcCaAcbcCcDdAaCcAaCcAaDdCcDdDdAaAaAaCcAaAaDdAaDdCcCBdDCadDdDADdcbcAaCBCDdcbBdDdDCcbBbBdDCDdDbBDddcbBdDdDCaADdDbAAccCCcDACBbcAAaaadCccCcCCccCCBbaAddaAaAacCAacCADCADddDdDaAaABCCccbDCaAcCcdacdacCAaAacCcCAaAaADdacCAacCADDdDBbBbBbaDDdDABbaCcdDAaAadDdDCcCcABbaAaCcddDDCcADCcAaAcDdCaAcCaCcCcdDCcdaABbBbDCcCcdaCcABbDCcdDCcdBbaAaABbDCcAcDdDdCaAcDdDdDdCadBbaABbDCcAaCcAcDdDdDdDdCadBbBbDCcCcdBbaddDdDDADdaABbaAaddCcAccCCaAddDDdCcCAaADCaAaAcddDacDccCcCCBbcCaDDCcCcAadDdDADdDAaCcCcdaAaCcdDADdDAcCadBbBbDAcDdCaCcCcdDCcdBbBbaABbaCcAadDddDDddCcABbaCcCcCcaaAACcaAaBBbbBBbBCCaABDcCdbbBcCCcaAcdDccCcBcDbcDdcCDdcCcCcCCbBcDdDBbBbBcCcCbdDBbdCbDbAaBdDDdDddBbBADdCACcCcCcaACcacDDdDCbCcCcBbCcCcCCcCcCccBbBcBcCbCcBBbaAcCcCcCBbaADAaABDDddCcDdCaAaAcDDddbaAaAcCBDBbBadDDdDddDDddDDdACDdDDBBbBdDdDdDdDbbcCCccCddCdaADdaAaADdadDADdaADdDcAbCcBaCcAbCcCcDdDdBAadDAaacbBcCcdDCaDdDdAcdABbBdDbaABBABbBbBbAaBbaAabdDbACcCcAdBcCbBcCbbdDBBcCbBbbBbdDBBbDdDaAaaBBAabdDbAaBbAaBdDbAaBBAaAabbaAaAACcaBBbdDbBdDBAAaBbabdDbBBABbAaAaaAaAabdDBbdDBbBbdDbBdDBAACcaaAaABbBbAaACcCcaabBAaAAaBbACcaACdDcCdDdDcaabBbbaABdDbBdDBAAaabdDdDdDBAaAACcCdDdDdDdDcaAaBbBbaAaAACcaaAACcCdDcCdDcCdDdDcaBbAaabBbdDbAADCcdaaACcAaAaAaaAAdCcbdDBDdCdCcDdCcCcDdDdCcCcCcDcDdbdDdDdDdDBCcbdDdDdDBBcCcCbDDdaaAaaAaABbAaaDdAaDCbBBDdDdbcdDCaDddDdDDdABDAaAaAccCCaAAdDdDdDdDdDdDdDabBbBbBbBbBbBadDAcCccCcCBDAadbBbcCcCBDCcCcAaCcAcCcCcCcCcCaCcdDAaAaCcCcAaAaCcAaAcCaCcAcCcCcCaAcCaAcCcCcCcCaAadDCcdbCaddDDdDAbBAaAdDdDabBaAcBDAcCcCadbcCBDAcCaCcCcdDAaCcdDAcCaCcdDCcdbCbBccCCccCBDCcAcCaCcdDdbCcBbCAdDdDdDabBaAbBaddDDdDAbBcBDdbCcCAdDaAdDaAdDdDaAdDabBcCAaAdDaAdDaAdDaadbaDddDAbdbcCaDaAaADdaAaAaAdDaAdDaADdDdDdCCcCBbBbcCACcDdaccddaAaAaAcCBbBbBbaAaAbCbCcCcCCccCDBCCcCBbcCccbBbBCcbACcadDdcBbCCccCcCcBbCDBCcCCBbBbBbBbBbccCcCCcCBbBbcCBbBbBbcCcCcCBbcCccCCBbBbccbBCCcCBbcCcCBbcCBbBbBbBbccCcCCcCBbcCcCcCBbccbBCCcCcCccCCccCCBbcCcCBbcCBbccCCccbdCcDAaAcBDdDdDdDdbCCDbDdDdDdBdDdcadDACDaAaCcCcCcAaCcCcCcAaAbDdDdBaCcCcCcCcCcCcAdcaBbdcCcCDBbdCcDBCcCCcCBbBbcCcCcCccCcCCBbccCCcCBbBbccCCccCcbdcBcCbBcCbBbBbCcCcCcBbCDAaBbAcBbBDdbBbBbBbBbBDdbCcBDdDdbCCccBbBDdbBDdDdDdbBDdDdbCCDdcCcadCccBcCcBbdDCcCbCCccCCccCcBcAaAadDddCbBbBbBAabBcaAaBbACACcCcCcCcCcabBAabBcDDCbCDdCccBcddaADdacCBbACcCAabBbBACcabBACcabBACcCcacCACcCcCcabBAacCACcaAaACcaAaAabBACcCcabBAaACcaACcCcCcCcabBcCcaACcDDBBbbCcCbCcBbCCcDAadCcDAaBbACccBbBDdbBbCcBDdDdbBbCcCcCaBbBbdcBbCCccBbBbCcBcBDAaDCCBbBaBcCDaBcdDCbAdbAaBcCbBbBbBcCbBcCbAbccDdDddDDdCCccaAaAddaADABbcCcCadDdBbDDCcaACcCCcCcCBaBDaBcCcdDdDdDdDdDdDCcdDdDdDdDCcCcCcCcCbBcdDdDCcCbBbAaBbAaAdDdDaBbBcCbAaBbAdDaAaAaBcCbAaBbBcdDdDdDCbAaAaBbAaBcCcCbAdDaBcdDdDdDdDdDCcCcCbBbBbBcCcCbBbBcdDdDdDCbAdcCDdcCDaAaBcCbBbAdcCcCcCcCbBcCcCcCbAbBbBaAaAaAaBcCDdbAaBcCDaAaBbBcdDdDCbBbBcCcCcdDdDdDCcCcCbAaBcCbBcdDdDdDdDCcdDCcdDCbAdbAaBcCbBDdbBcCbBDdbAbBaBbAbBaBcCbBDaBbAaBbAaBbAaBbBbBcdDdDCcCcCcdDdDdDCbBbAdDaAdbAbBbccaAaACCBbcCAacCBaBbBDdcCbAaAaAbAaBaBDdcCDdcCcCbBbBDdbAbACcDcCcCBbBbBbdaBbcCccCCADdaBbccaADdaAaACcCCBbBaBDaBbAaAdbAaAbAaBaBcCcCbBDdbBbBcCDaBcdDCcdDdDCcCcCcCbAaBcdDCcCcCbBbBbAdbAbACcCBbcaccdDaADdDdDdaAaAaAddaADdBbBbDAadbddDDBbBbBBbBbBbaAbAaCcdDCcddaccCCccCDdcCCbBcCBdDacBAadDAabBDDADAaDdAadacDDddadDdDdDdDACAadDADdDBbdDdadBbdDddDAABbAaBdDCDdDdcbaAbBDdbBaAAcCAaaBCDdDdDdcCcCcCDdDdcdDdDdDdDbBCcbAADdacDdCaaAaabcCcCCcadDbBACccCcCBAabcCBDDbDdBADdDdDdabDdaABbBbBdDdddDDdbCAbBacBbabaDDdBbDdBbdAcCcDdCCCadBbcbBbBbBbBCabbDcCddDDDADcaDdDdDdDdAaDdDdDdAaDdAaDdAaAaDdAaACdaAaCcdDdcAaAaAaAaAaAaAaCddDBbdDdDBbDdCcdDdDdDDDCcCcdDAaADdDcCcaDdDdACdDdDcaAaDdDdDdDdAaDdDdDdDdACdDcaDdDdDdDdDdDdAaDdDdACdaBcCbBbAaCcBbdDdDCcCcAaAaCcADcCcaDdAaACdDcCdDdDcCcCdaADcaDdDdDdACdDcaAaDdACdDdDcCdaCcADdaBcCbCcdcAaAaCcCddDBBAaAcCcCcCBbBbBbcCabBAcCBbabBbBAcCaADDDddACcCdDACcadDdbBbBDcccaDDddDBaAaDdCcCcDdCcDdCcAaDdAaAbBaDdAaDdCcDdDdDdAaDdDdCcDdAaDdCcCcDdCcAaAaCcDdAbDddAaABdDbaABACDdAacCDdAdCAacBBdDBcaACcCDCAAaDdCBddBbDdAaBbdDbBdDbBbCcCcBACccCABcDdBAabcbBCBbCbaCBCDaAaAAaaAdBacCCDdcAbCcBbBbCAAaacCcCABbADbBbBdDbBbBAaAaAabBbBdaaAAdAaDaBbBbBbacDADdDdadBaAbcCCcCcDbBaAABAacCcCbaABcCAAaAaaAaAabBAacCAaAaAaAabBcCbBcCAaAAaAaAaabDdBbDdBbDdDdBAaAaAAaacCbadcCCcDaAABcCcCAAaacCbadBbDbBAabBABcCAAaaAaAAaaAabDdBbBbadCccbccCcDdDdDdCadDDdbBDDaAddBbdDACdDccCcCABcBaCDdDbBdcaAaAaAAaaAAaaACcaAaACcAaCDbBbBdDdDdcaACDdDdDbBbBbBbBdcAaCDdDdcCDdDdDdcCcCcCDbBdDdDbBdDdDbBdcAAaAaAaAaaAbcCcCcbBbBbDcCcCdDcCcCcCdBbDdDdBbBCCACBbBbcCBbcDdCBbADdaBbBbcCBbBbcabBcCccCDdcbBbDdBCDdCcCAacCADdCAdDDdacabaabCcCcBBbBbbCcCcBACBCDABbDdDdBbaAaABcCAaAAaacCbadDbBaAbBdDaAdcCCAaccCcCCABbacCcDdDADdDdaaAaAAabBbBdCcBbCcDdDbBaAaAADdDdaaAAaaAABAaAAaaAAaAaAaacCbBbBbBcCAabDdBbaAadBbBbcCcbdDcCdDccCcDdDdCcCAacCADdbBbBdAbAcCaBaAbBacCAbAaCcBaDDdBACADdCcCcdDCcdcCcCcCcCcCDacDdCAaBbcabaCdDBbcAdAacCAacCAbBaAaAaAacCAbBbBbBaDBACcaccCCADdCcacDdBAaaaAAAaAaaaAAaCcCcCcAAabcCBaCcAAabBbBAaAaAaaCDdcAAaAabcCDdCbBcCcCbDCAacCcCcddAbBbAaCCBAaDdaCaAaAaAcAaCaAaAcAaAaBbAaCcBcCcCcCbADdbBaBbAaCcCaAcBbBbAbcCCcCcCccCcCBDdAaDdbcaAcBbBbBacCDBcDdDdBAaAaaCcCDdcCDdDdcAAaAaaaAaAaAAaCcAaAaaAaACcAaaAAaaAAbDdcCDdcCcbBCcbDcCdBCDdBbDdBAaaCcAbCAaccCDdcbBCcbDdDdDdBCBAabBaCcAaaAAaaACDdcAaCDbBbBdDdcCcaACDbBdDbBdDbBbBbBdDbBdcaAaAaACcaACcAbDdcbBCDdcCCAabdAbAaBbCaAaACCcccBaDaaBbdDBbbBdDbCcBbBDdbCcCcCcBBbACBCcCCcDbBaAaAaAaAbBdCccCBbcbdDdDBbcadDAadDBbdDbBdDBbbCcBBbbBAaACcCBCCAADAadDDBbdbBAaDdddDaADbBbBbBdaBbacDbBbBdcbcCBbBCcbdDdDdDccDdCCcABccCCAabdDBcCACBbcDdaADdCcaADdDdabdcCDDCcdBbDdbBacCADCAaAacdBbaabBdDAcDdCABbBccbBbBbBbBbDcCcCcCcCdDcCcCdDdDdDcCcCcCcCcCcCdDcCdBbBbBbBCCAacDdCADdabdDbBdcCAbAaAcCaBbBbAcCaAcCaBbAaAaCcCCBDdAaaCaAaAaAaAaAaAcAAaDdDdDdDdAaaAaCaAcBbAaADdbcaAcBaDdAbAaAaBbAcCcCaAaBaDdcCDDCcCcdaadDbCcBAcCADddAaDbBbBBcCADdabBccCCAabdAacCAbCCCcCAbBaAbBaAbBaAbBbBaAaAacCcCAbBacBbCcBDdDdDdDdAabCccaAcCcAcCcCaCCCccCcCBAaaBbBcCbBcCbBcCcCcCbAAaDdaAAaAaAabCcCAbBaAaAbBacccCcCaAaAcCcBacCcCcCDBbdcCAaAbBbCaAcAaCaAaACccBbBbAcCcCaCcBbBaAbBacCcCDbBdcCcCDBcCbbBaaBbAADdacCcDdCcDdDdDdCAaabBbCcCcBBbBbdDBbAAdcCDbBbBaaAcCCdDdDBbcAdcCcCDaaAcCaBbBbbBdDAaAcDdDdDdCcDdCcCcCcDdDdCaACBbcAdDacDdCcDdCCdDBCDbBaAdDaAbBdDbBbBbBADdabBABAAaAaAaacCcCbaABAAaAaAaaAAaaAacCcCbaaAdcCcbccCadDBbdDdDbCcCcCcBBbbCcCcCcBACBCDdBbCcCccCDbBAadBbCcBbDAabBADdBcCAAaAaAaabBbaaAAadBaCccCCDdDdcCDdDdDdcCDdcCDdDdcCDdcAaCDdDdcCDdccCCDdcAbDADdDdadCccbcCdDcAbBacCaBbAaDDddBbbBAcDdCaACdDccCaAcCCBbdDcCcAbBBccCCACAdDCcDdaBbAaBbcacBbBaaACcCDdcCDdDbBbBdcaAAAaaAaAAabDdDdcbBCCbaAdDaCcAdAaAbCcBacCAbAcCcCcCcCaAaAaAaAcCcCcCcCaAaAaAcCcCcCaCaAcBbBbCaAcAaAaAaCaACcCcCBaBcCcCcCcCcCcCbADdaBcCcCbCcCaAcAbcCBbccAaBacCAbAcCcCcCcCcCcCaAcCaAcCcCaBaDdAbCaACccAcCaCaAaAaAaAaAaAcBaDbBbBBcBbDdBaaACDdcaAaAAaaAaAAaaAaAaACDdcAaaACcCDbBbBdDbBbBbBbBdDdDdDbBdcAaCcCcAaCDdDdDdDdDbBbBdcAbCADdacDdCbaaBbbBDDbBaAddBbBbBbDdACBCDaAaAdBbCccCCAAdBbDdAaAaAaDaAaADDdddBbBcCcCbAaAaBcCcAaAaAaAaAaCbBcAaAaCbBbAaBbDaacDbBADdDdBcCcCAababBdcCcbcAdDBADdaccbDcCdBCBAaaAaaACcAAaaAbcbDdBCBbcbDdBbDdDcCcCcCdBbDdBbBCCADdCBbcDdabaaBbBbDdDdBbBbbCcBdDdDDDbBaAaAdDdDddbCcBBbDdbBAabBBbBbdDDddDDDbBaAaAaAbBbcaADDdDAaaAcCdDaAdDaAaAaDdBbBbBbBbBbBbBbAdDaAdDcCaBbAAaAadDAaAaAadDaBbAcCAaddAADdBbDcADdaCddDCcBbDdDdBbDdaaaaBcCdaAaADdCdCcdaADdBcacCAaBCcbBbBCcbAaBCcbBbACbaAaABcCcacCAacCcCBCcCcCcCcCcCcbcCcCAaBCcbAacCcCcCAacCcCcCACbDDcaACcCdCcdbBbBbBaAbBDdDdaADCcdDdbBBAaACcaAaAaACcCcCcCcaAaAaACcCcabDCcCcdaAaAaADdDdaABACcaACcCcabDDcCcaadDAacCcBbCDdcbBbBBbBbBbCAADDCcdcaAaACcCdCdCBBbBaAaAcCbBaAccDdCcDdDdCcDdCCccDdCcDdCcDdDdCcDdCCcCaAbbBBaAaAaAaAaAbBbBbBbbBBbbBBcCcCbbcDcDBbBaAaAaAaBCdDdDcCcaDdAbBCdDdDccCaAbBaAcCcCaaADdadCcCcDAAbAaAbBaAaBbAaBbAaBbBcCcddDdDdDDCCdDcaDdDdDdAaDdadDAaAaAAbBcCCcbAaBbBaAaadCcCcDADdDdaAadDAAbAbcaACcaACDdBbBbbBBbdCcDdaACcCdDddDDdDcDcCBbcCbBdaacbBBbCcCdDAADdDdCcDcaACbBbBbAcdcaAddaCcAaAbBbBbbBbDdBBaCBbcCcCBbBbBbcAbbBBbBDdDDCcCDDBBDdDdDdDAadbBbbddDdbbAAaabBAddDdDDAaAadDaBdDaABDCaBbAAAAdDDdDcCcADdBbDdBdcCcCDdDdcCcCcCDdDdDdDbaCdCcDdDcbdDDddDdDBCddDdDaAaAaABbaaAaaACBaAbcCBaAddBbBbDdACBbBbdDBCDaAbBADdBbDdBbDdadDaAaAAadBbCcDaAbBaAaAdCcBacCcDdDdDddAaDdDCAbDbBaAbBdDABAababBaAdBaCcCccDdCAbDbBbBdcbBbdDcAdDDddDBbaAdDBbbBbBBbaCBbccDdDdDdCCccDdDdCAbBbBBbaCcCBCcbBCcbBbBCDbBADdBAAaAaaAAaacCcCAAaabDdaaAbBaAbBdDdcCcbBCBaAbBaAbcCcbBCCccbBCDAaaAbBAabBbBADdDdBcCAacCbBcCcCAAaabDdDdadBacDddDdDCcdcCAaDCcdAaAaDDdDdDddDdAaAaAaAaDdDDddDCCDdcAbcbBCcbdDcAbBacCcDdDdCCcAdAbCcAaBacCcCcCAbBacCcCcCAaAacCDdDBcDdBbCbdAbCcBbBaDdAbAcCaBaAaDdDBACcacBbcbDdDdDcCcCdBCCACBbAaAaACcdcCDDdDdCcaBbcCBbAaBbAaBbAacCAacCADdCcdcCcCDdcCDDddcCcCDaBbBbBbcDdDdaAabdAaDdcCDdAacCAbCcCCBDdaCcBbBcCbAAabcCCAaAacBAaAabcCcCCccaAaAaAaACcCccBbAaBaAbAcCaAcCcCcCcCaCCcaAcCaAaACccCCBbBDdDdbCAaAaAaAbBbBbBbBbBbBaAbBbBbBbBacBaBbCcADdbccAaBaDdDbBbBaaBbDdBbACdDdDdDcADdacDdCCcCBbBCCcBbDbBdDaAbBADdaaAaAbBAadcCBbBbBbCcCAADAadDdDdaBbBbAaBbaABbacBaCccdcCcCDDdDddcCcCcCcCDDdDdDdCcDddDDdCAbCccbdDdDdDdDBbccCABbacCcCCcABbdAbBbBaAaAacCcCDaAbBbBBcDdBbcbDcCdDcCcCdBCBaaACDbBdDbBbBbBbBbBbBbBbBdcCcaAaAaAaACDdcCcaAaACcAAabDdCbBbdDDdDdaadDdDAAaCBbBCcbBCCccbdDdDBCBacdDCAbDdDbBdCABbBbAdAaAaDDDdDBbdDBbBbdddBbAaBbAaAaDdDDdDDddaacDABcCcCAAaAaacCcCcCbBcCbDdBAabDdBAacCcCbabBaAdCcBaAaAacDddAacCAaAaAaDDdCCccdcCcCAaDCcdcCcCDCAbBaCcAbBbcbccCcCCBCBaCcAaAbCcBbcbBbdDBbdDcAbBaaBbdDbBDddDdDAabCcCcCcCcCcCcBdDAaBbbBbCcCcCcBBbdDDdAcCcDdDdCCBbBCDaAdcCDAaADdDdaaAbBaAdcCcbBbcCcCcAaAdDBbbBDCcdaaBbAcDdCAdcCAbCCBAaDdDdDdbccCaAcAaCCBaCaAcCcCaAaAcAbcaACcaACcCccBaAbAaAaAcCaBaAbAaAaCCcaACcCBbcaACcCCAacCcBbCAbBbBbBbBbBbBbBbBbBaAbBbBbBaAacCccCcCCccCcCBAaDdaAAaDdbCcCAacCAaccaAaAaAaAcCcBaDdDbBacCadDDdBbbBDDddbCcBdDDDdDbBddDDdDbcDdDDAaddDDddDDcCAaaBbAAaAadDaBbBbDdAAacCdDcCdDaBbBbBbBbAaBbAAacCdDddCBddBbBbBbbBAcDdDdCAdcCAaDdDbBbBdcCDaCcadDdDAcDdDdDdCABbbBDCcCAacdaadDDdAADCAacddcCAaDbBbBDdBccCDdDdDdDdDdBaCcCcAAaaAbcCDdBAabBbDdBaCcaAaAaAAAabcbDcCdDcCcCdDdDdDdDdBbDcCdDdDcCcCdBCDdcbDdBbDdDdBbBCCcDdDdcbDdDdBCDdBaAbDdCcDdCcBbDdcCDdcCCcDdcbDcCdDcCdBbBbDcCdDcCcCdBbDcCcCdBCcCBAaaAaAaaACcaAAAabcCCbBACAaBbAacCACcdDdcCcCcCDdcCDDdDdDdCcCcCcDdacDdaAaccbBbDdDdBCDdBbCccbBbBbBCDdCADdDdCAdcCDacCBbcaADdDdCACcdDDdaBbBbcacDdDdcCCccCCADdaACcacBaaAAbcCCACcDdDdCAaBbAacDdCAacDdCBbBbcaADdDdCBbcCACcaAdDdcCcCDDdCcaAacabBAaACBbcDdCAaACcdcCDaBbBbcCACcDddcCDaAdDdcCDDdaBbcDdDdCACcdDacCcDdCcDdDdDdacDdcbDcCdBCCbBbBccCBAaAaaCDdDdDdcCDbBdcAAabBbBbBbCbdAbBacCAbBbAcCaCcBbCCBAaAaDdbcCcaAcAaBbCaAcAaBbCcAaBbBacCDBbbBbBaAaaAAbBbBdAbAaCcAaCCBDdDdbcCCccCBDdAaaBbAaAaCaAaAaAaAaAcBbCcBcCcCcCbBcCbCaAcAAaaCcCcBbAAaAabcCBAaAaAaAaaBbBbBbBbBcCbCcCcAaAbBbCcccAcCcCaCcCcAaCCCAbBaAacBbCAacCAbBbBbBaAbBacCcCcccAcCaCaAaAaAcBbCcBaAbBaDDddcCAaDdcCDbBDdbBdDDCcCAacdDdDdBcCAaACAacDdacBAabBbDdBaaAaACcCDbBbBdDbBdDdDdcAaaACDdcCcCcAbCbbBaABbacCcDdCcCabBAadDdDdDACdDBbccDdDdCcCCBCCcBbCccbcabCcBbCcCcBbCcBbCcBDdBbdDdDbBDDdDdDdDdddDDDddBbDdbBBbACcADCAacdDdbBdDBACcCBbcabBbbBBAabdcCDdDBcDdBbDdDdDdcCCcBbcCBaaACcCcAbBbCbdAbBbAaAcCaBbBbAaBaAbBbCCCcCcBAaDdbBaAAaDdaBbBcCcCcCbADdAaaAaCcADdDdbcaAcAcCcCaAcCaBaAbAcCaCCccAaBbAcCaCCcCBDdaBcCcCcCcCbAbCcCcBbccBbAaBacCDacDdDdDdCAdDaADCAacCAacdbBaAaadDBbAcCCBbdDBCDdcbcaACdDBbdDdDBbcCcADddcCcCcCDdDBbdAbAcCcCcCcCcCaBbBbBbBaDdAbBbAaBbAaAcCaBbAcCaAcCcCcCaCCCcBAabcCBDdDdAabcaACCcCcBbCccCCAbBbBbBacccBbBbAcCaAcCaCCCAaccCCccCCcBDdbBDdAabcCCAbBacBDdbccAaAaCaAaAcCaAaACCAaAbBacCAbBbBbBbBbBbBbBbBbBacCcBaBbCcBcCbAAaDdbCcccCcCCBAabcaAaAcAaAcCaBbCcCcBaAbBacCAacCAacCcCAaDDdDdacCcCAacDdCcDdCcDdDdCCBbdDdDBCcbcadDBbDddDdDbBdDDDdDbBaAaAbcCBbBaAaAaAdDaAaAbcaaAAAAaACCcCcAdDacCCbBccaABbCAdDBbdDBbaAaCcABbacdDCAdDdDaCbBbBadDCcCCBDdAaDdbBbBDdDdAabccBbAccDcbdACcaAaDDaAaAaAdBADdaCcCdDdCAaCbBaDDAabCcCcCcBdaAdAbBbBbBbBcCbBcCbBbBaDaAaADDCcdddAcCaDaAaAaAaADbCcBbBddDdCCBDdAaDdDdDdAaAaAabcCBbBAaDdbBAaDdbcbBbBCBbBDdDdDdAaDdDdbBbcbBbBCcCBDdDdbBbBDdbccCCBAaAaAabBAabBbccAcAdDdDdDaAaCbBadDAaCCBAaAabBbccdDDdDDbCcBDdddBBBbBbBbbbAccBbBbBbaaDdDDaDdAdDaBbBbBbAaAAacCddDDAadDAacCdDcCaBbBbBbDdBbDdBbBbDdAAaaAaBbDdBbAdDaDdDCcdBbAcCcCAaaBbDCcCcdDCcdBbBbBbAAacCcCcCAaAacCdDddDDaAcCcCcCcCddDdDDcCAacCddaaAcdDCAAAdDCCccDdBbBbdDBbDdDcCcCdBbaABbaACAdDdDBbBbaAdDaCbBcAdDaAdDdDBACcaACcCcCcCcCcaACcaACcabaAaAaCbBcAaCadDDdBbdbBbBcCcCbBbBbBDBbCbBbBcDDACcCcaAaDCcaABDBCcbBbBbBCcCcbdbddDACCaAcAaABbBDdDdbaCccaddCbBCccBbBBBbbBbbBbCbBcDaADDCcCcdbCcCcBddCCcCccdcCcCDCbBbBcBBBbbBbbDdBbDaAdAcCcABbacaABbDcbdACcaDBbDaAdBbdAaAaACcaACcaAaDDdBbBADCDAbBbBaBbAadbCDdDdcBbBbCdaacCdDdDAAaacCdDAADcBcCDAadbCcBcCDdcCDdDBbdDdcdBbBdcCcCcCDdDbabBCcAaAaCdDdaaCBaAbBbBaAdddDACcCBbBbdDBbdDBCCcDdBaCcCDdcCccDdCAbDdcbdDdDBbBbcADCcCcCcdacDdDdDdDdCABcBAaAaaCcaAaAaACDdDdDdDbBdDdcCDdcCcCcaACDbBdcaACcAbcbDcCdBCBbDdcbDcCcCcCdDcCdBCcCcCBbBbDdCADdacCAabaAbBdDDddcCDbBbBbBdcCAbCCccCaAaACccCaACccBbCaACBDdbBaAbCAbBbBaccCcaACcaAaAcBbAaBaDDCAaAacCcCAacdBADdCBbAdDCcDdCcacDdDdacDdDdDdCACBbACcaBbBbAdDaACcdDaADdCcDdaADdDdDdDdCcaAaBbACcCcCcaAaBbBbAaBbcaADdDdCBbcDdabbBdAbBacCDbBBAaAabBcCbbBbBbBaAbBdcCcCDBcCbBcDdBbcCcbBCCcCADdCBbBbcabdDbBBcDdBaaACDbBdcaAAaCDdDdDbBbBbBdcaACcCcAbBaaAAAaAaAaaAaAaaAAAaAabcbBCDdcCcCBbDdDdDdCcDdcCDdDdBAaaAAabDdBaaAaAaAaAaAAAaaAbCbDdbBbBaabCcCcCcBAaACBbcABAaACcaACAacCAdcCDCcCcdDaBbBbBbBbADdCcCcdcCcCcCcCcCcCDDdDddcCcCcCcCcCcCcCDaBbBbACcCcDdDdaAacDdCBbcDdDdabBcBbBAaaAbBaCcAAaaCcAbcCCADdDdaADdDdCAaBbBbBbcCAaBbACcaAdcCDdDCcaAaBbcCBbBbBbcCcaADdCACcaADddcCDdcCcCDdcCDDddcCDacCcabDdaCcaBbBbdDBbbBBbbCcCcCcCcBDDbcDdCcaADDAadDdDcCcCdDAaAadDAaddDDaDCcdDdAcCcCdDddCcCcDDdDcCAaAaAaAaaDCaAcCcCaAaAcCcdBbDCcdAddDdCcDDcCAaddCBdDaAdDaAbcAACAaCbBbBadbBcCcCbBbBDdDCCccdbBDAaCcCbBcDaAddDdbBDAaBbBBbbBBBbbbCbBbBbBCcCccAccCAaCcABbacDcABbBbDdDCDAadDBbdbCdaaAAaAaADcBcdBbabdDDaAdDaAaAdBAaAaCdaAaaaAAAdDdDdDCABbdDBbBACcaACcaAaACcaAabBACcaACcabBACcCcCcaAaACcaAabBACcaACcabdDBAabdDdDaAaCbBccDdBbdDCcdDaAaADcAabdAaAaDBAaABdcCcCDdcCcCcCDbBbBdDbDCcCbCdDDdDdcBDBbBbdcdDdDCbCdaAaADcCdaadDcCcCdDcCdDdDdDdDdDcCdDcCcCcCcCdDcCdDAADDddDdDdDcBDAadDdDdbBcdaCcbdACcaAaDBCddDDcbDaAdDaAddDdDdACdDdDdDcaACdDcCcaDdDdAaDdDDaAaAaAdBbBbBABbaCdBbCAdDaAaAdDBbBbaCcCcCcABbaCcCccDcbDddACcCcaACcaACcCdDdDdDdDcaACcaAaDBbBbdDdDDdDaAaAdDdDaAaAaAdBAaCdDcAabDaAdDaAdDdDaAddDdACcaDDaAdBbBCdaaAaAAaaAaCBbBaAdddDdDbBBbbBdDdDBbdDAabCcBAaAcDdCcDdDdCCcCdDdDBCCccbdDdDBbdDBbBCBaCDdDdccdDCCDdDdDdcCDdcCDdcAacCAaAaCDdDdDdccCAaCDdccDddcCcCAacCcCAaAaDDdDddAacCDdDDddDCcdDdAacCAacCAaAaAaDDddAaDCCcCcAbBbcbccCAdcCAaDaaBbAcDdDdCcCCBCcCCcDbBbBdCABbAaBbAaBbacCcDaAbBdcCBaCcAbBbCABbAaacCcCcCcBbDADdaAabBdCcCcCcCAAdBcCcAaAaCcAaCcCcCcCcAaCcCcAaCbDDAaDBbBbBbBbdAaDBbBbdDddaacDAabBdDdBaCccDdCCDdcCcAacCCcCccCCcCDdDdcAbBbcCDbBdcbBbdDBbBbdDcadDDDaAddAADdBbBAaADdDdCAaBbcDdDdDdaAabbBBACBbAacCcCBbcDdCcabBbdcCcCcCAbBbBbBbCaAcAcCaAcCaCcAcCcCaBacCDdcCAacCcCAaDacCaBbbBDdbBDDaAaAbcAaCcDdaaBDCcdBaBCccdDCbAbBaBCdDdDdDdDcCdDccddDdDDdDdDCcCbBaDdadDAaADdDdAbAaAbcaAaACbAaBcaACbBBaAbDdBaBbBcddDDCaAaAbBCccCaDdDdadCcCcDdDAAbAbcaAaAaAaAaDaABbaAbcDDdDddCBdAaDbBBbdDdACcaDBbdDdACcCbAcCaBcCcaAaACbAAAAdDDdBbDdaAdDDcbDdDaAdDaAdDddAaACcCdDdDcaDDdBADdabDaAdDaAdBABbDCcCDADdaAaBbdbBDdDBbADDbBddbBbBDdDDbBdDdDbBbBbBbBbBbBbBbBddDdbBaADdbBbBadbBDBbdbBbCcBDdcCcdaCdBbdDDdBbBbDcABbabBAabdACdDdDdDcCcaDdAaDDdDaAdDdDddAaAaDdDdACdDcCdDdDdDdDcCcCcaDBbDdBAaABdcCDbDCcdDdBdDdDdcCcCDbBdDdDdDdcCDbBdcCcCcCDdcCDbBdDdcCcCDbDdBdcCcCDbaADdaCddDdDCAacBbdDdDdDDdDdCcaABbDcABdcCcCDdDdDbBdcCcCcCDbBdDbaADdaADCDBbAaBbdcdBbBbDdaCdaaCBbBbcaaBDdDdBbbBcCbAcCaAaAcDddcCcBDdDdBbbdDddbBbBbBDdDDddaCBbcCcAaCBbBbcAbBDdbBbBaAaADDaABDdBbBbbaABBbAaAabBbaABAaAabddbbBBbBDDBAaAaBCCcCAaCcAaAaCBDdbBDdDdbcCccdaAaADdbBDcbAaAabaAddbbBbDdBbBBbBaCBbBbBbBbBbcAaCcADdaAaCBbcAbbBBDDCDCcCaBbAcdDCcCcCAAaCcCBaAaAbcCBaAaAbcacdDDBbBBDAaAadbbBBbBbBbBDdbBbBDAaAaAaAadDdDdbBDdDdbbBBDAaAaAadDdDAadDAadDAaAaAaAadbBDAaAaAaAaAadDdbBbBbBDdDAadDdbBDdDAadbBDdbBbbBbdDBBbBbbBbddcaAddaCBbcADDCcaABAaAaAabBDdDdDdBCBbBAabdbBDBbCAaAaCccdaAaADcbAaDdDdDdDdAaAaDdAabdDBBbDdBbAaDdDdbCbCcbAaBdDdDCcdDCcCcdDCcBDCAaADDaAaDdBbBbAcCcCaAAaaDCaAcdBbAaDdDdDCaAaAcdDdDdDCaAaAcdDdAcCddaAAAdDDdaAdDDdCABACcCcCcCcCcCcCcCcCcCcCcCcCcCcCcabdDaAdDdDacdDaaDdCBbBbcCBbBaAbBbcAaAaDDaAcCcCAaddDDddaACcCcaaBDCcCBbbBbBcCDdbBDdcdDCBbBbbBbBBBbbcdcCcCbAADdacdbCcBcaABBbBbBCdDcbbCcCAAaAaAaAaAaacCbBcCcaAaAaAddaADDdDCDCaBDCcCbBBCdAaAaBbDdAaDdDaCbBcAaAaAdBbBbDaBbCbBcCcCcBbCbBcCbaABbBbBbBcBbAaBbBbBbAaAcCcCcbBBbbbBbBBBbBbCaBbBbBbBbAdAaBbDaAaCbBbBcCbBbabBABcCcBbAdDcBbbBbbBDdBCcBbCaBbAdDaAcBbBbCcBbBbbbBDdDCcdbBDdbBDdBBbCaCbabBAaAabBbBbBAabBAabBAabBbBAaAabBABbabBABbBcCbBcAaAcCcBbbbBBCdAaDcBbCaBbBbBbAcBbCcbbBbBbBcCcddaaaAdDdDAaAAaacCcbBbBBbbBbBbBbBbBBbCdDcBbBbCDddDAACcaAaADdCdDdCcCBBbbBbBBaAaAbbBBaAccDdCCccCCbbcDcaAaaDdAadDAAaAaAaaAaDdaAAACcaadDdDDdAADDdDdDdBaAaAaBaDdAaDdDdaAadCcDdCcDAAbAaBbBaDdadDdDAAcCbBbAaBcCbBcCCcaadCcCcDdCcDdDAACdDdDcCcaDdAbBCccCaadDAadCcDAadCcCcCcCcCcCcCcCcCcCcDADdadCcDAACccCCcaDdAcCaDdAcCCcbBcCcdDdDCcCaDdDdDdaADdDdAbBaDdadDAadCcDdDADdadDdDAAaadDdDAAcdDCbAbDCDdBBbCcCcbcddDDdBbBbDCcCDCaAaaAAcCcdbBBBbBbCaCbBcCcBbBbAcbbBBBbCaAaCcBbBbAaCbabBbBAaAabBABcBbAaBbCbBbaAabBbBbBbBABbBcAaAdBbAaBbAaDdBbDdAaBbDaAdBbBbAaBbBbBbAaAaAaDcCcBbbBBbCdAaDcbBCaBbCbabBbBbBbBABbabBbBbBABbBcBbAcbBbbBDdBbDCcCaAcdBCaCbaAaAabBAaAabBbBbBAaAaAabBAabBAabBAabBAaAaAaAabBbBAabBABbBbBbabBABbBbaABcCcAcCcCaAaAdAaDcbBBbCdBbBbAaDaCbBbabBABcBbCcAdBbDcCcBbbBbcCcdBaBbBCccddDDdDddDDdDdDddDdDDdDCCdDccddDdDdDDddDDddDdDdDDCaAbBCcbAbdaaaAaADdaAcCcBbCaAcCDddDdDdDAadDAACdCcDdDcCcaADcCcaDBbBbBbbBbBdAaDBbbcCBdAaDBbBbaAbcDbBdDbBdadDdDADdCcCcCcadDdDdDdDACcCBbcaAadDdDACcDbBdCBaAbcadDAadDdDdDACcCBdAaDaABbbcaACcadDdDADbBdaAadDdDdDADbBbBbBbBDddDDddDDdDddCcDbBDdbBDddCBaAaABbbcDDdbBbBdDDddadDdDADdaACcadDdDAadDdDACBBbbBBbdAaACBbBaAbDCDdDCcdDCaaAaAAcdcddDDCcddCcaACdCcDcDBaBaDdaAACcbAaAaAbcCDdBbBbcaDaABbaAdDBbdDaAbcaACBdDdDdAaACBaBaadDADdadCcCcDADdadCcCcCcDAACdDcCdDcCccCbBbBcdDddDDdDddDDddDdDdDdDDCCcaadDdCcDdDAAaAcddDDddDDCbBCdDcbBbBaDdadCcDADdAaDdAbAaAaAbbAaAcDBbBBbBbbBBbBbbdDdCAacdcCDDdCAAaacCcDBBDdDdbbdDddbCcdDdDBDCcCcdAabdDdDdDaABDCaBcCcaDBbaAbcaADdCBaAaAbBbBaAaAbcDbBbBdadDdDdDdDADdaACcDDdDdbBDddDdCcadDdDACBbcCcadDAadDAadDADdDbBDdDdDdbBdadDdDdDADbBbBdDDdDdDdDdbBbBdCBdDdDBbdDaAaABbbBdAaDbBdDbcDbBbBDddDDddCcDbBdCcDbBDddCcadDdDdDdDdDAadDADDddadDACcadDAadDACBdDbBbcaACBBbBbbBaAaAaAdACBaAbdCcDDCcdBaAbdCdCBBbbcdbBaAbBBbbBDDcCdCcdaAbBDDdDdDcaACdDdDddBcaACbBcaAaBbBbBbAaACAabBcaAacCACcaAaBCcCcCcCcbcCcCBCcbBCcbACAabbBBbbBDDdCBbBBaAbbBbcDddBbDDddaAbBbBDdbBaAaAbBaABcCAabBbDdBbDdbBbBDdDDddBcCAaAacCAabBbDdDCcdDdaAaABAabBcCcaBCcCcCcCcCcCcbBbcCACbaAaABcCACcCcacacCcCcCACACcacacCACACcaAacCcaBbBbAaAaAaBCcbAacCAaAacCACbBbbBaAaADCBbBbcCBBbbBBbbcdDdDDcaaAACddDdaAaADdDCBBaAaAbbBbcdbBbBDdaADdDDcDdDdCddDdBAaACcCcabBcaBbcCBCcbAacCAaACACcCcacaBCcCcbAaBbAacCACcCcaACcCcCbbBaAaAbBbBaADCBBbbBBccCcDdCcDdCcDdCcDdCcCcCcDdCcCcDdDdCCaAccCcDdCCcCccDdDdDdCCcCaAaAaAaAccCCbbBbcDcCcDBaAbdCcCdDcaadDdDAaaADdcCcbBbBBbCAaaAcBbCaAaAdDdDdDdDaAaAaAdDAacBbBbbBbBbBbBBbBbCaAAacCAACdCcdbBaAaADdDDcDbAADdAADcCdDdDdaaCBaAaAaAbBddDddDdDdDbBdDdDdDDddDdDbBAABbbBdAacCcCAbBaDbBbBaCccCCdDdDdDdDBCDdCAacBbCABbBbAdBcAaAaCcAaCcCbAaAaAaBcAaAaCcCbBbBcCbBbDdDDbBDdAadaaAADAaAaAabBAaDBbdAaDdddDaacCABbaccbdDdDcadDbCcBdDbCcCcBdDdDACBbdDBCCAaAacDaAaAbBaAbBbBdCcCAacDdCAAaAdDDDdDdbBAabBAaddBcCcCbDDAaAaAadaAdBcCbAaDDdaaAADAabBAadaAdAaAaBbAaBcCcCcCcCcCbAaBbAaDdBbBbAaDDDBbBbBbdDBbBbdAabBdaacBbcCCcDdcCcbcAaCccCCdDBCCcBbDaAABAAaacCbDdBAAaaAAaAaacCAaAAaabDdBcCAAaacCAAaAaAaAaaAacCAacCcCbadCAAdDDbBDBbBbdbBAadaAaBbBbaAADDdDBbBbddaADAadDbBDBbBbBbdbBAadDAaDdddBbBcAaAaCcAaAaCcAaCcCbBcAaCbBcCcAaCcCbBbAaAaBcAaCcAaAaCcAaAaAaCbBcAaAaCcAaAaCcCcAaAaCcAaAaAaAaCcCcAaAaAaAaCcAaCcCcAaCbBbDaAaBbBbAdAaAaAaDDbBDBbBbBbBbdAaDBbdAaDBbdbBDBbBbdddAaBbBbAaDaacBaAbcCcCCcCccbdDcCdDcAdAaAacCDbBdcCcCDdDbBaaDDaAbBaAaAaAdDddACBCCcCcDbBbBbBbBbBbBdBbcbBCCcCAacCAADdaaAAaBbBbAdDdBbDdBcAaAaAaAaCcAaCbDDbBdaAdDdBbBcAaAaCcAaCbAaAaDaBbAaAdBcAaCbDdDdBbDaAaBbADdDbBAaAabBAadaADDBbBbdDdAaddBcCcCcAaAaCcCbBbAaAaAaAaDaADbBAaddAaBbBcAaCcCbBbDdAaBbBcAaAaCbDDDBbdddBcCbDdAaBcAaCcCcCbDaAaBbBbAaBbAdBbDaADbBDdDBbBbBbBbdDdbBdDDdAaDdbBAabBddDdAaBcAaCbAaAaBbAaBbDaAaBbADDdAabBddDaADAaddBcCcAaCcAaAaAaAaAaAaAaCcCbAaDdDaacCAacCcCcBaCcAbBaAaAbcbdDdDcAaABbDddAbCcCcAcCcCaBbBbCaAcCCBAaaCcBbAAabCcBaBbAaAaBcCbAaCaAcBcCbCaAaAcCcCaAcAAabcCccAaBaDDCcCcdaAaaDDbBaAdDddDDddBbBbdDdDDdDdbBACdDdDBbcaACcAaAaAbBBAabDCcddAbBbAcCcCcCaBbBbAcCcCcCcCcCcCcCcCcCcCcCcCcCaCCBaBbCcCcAbcaAcAcCaBacCcCcCAaDDCcddcCAbCaACCcCccaAcBbCcBbCaACCAbBbBbBaAbBbBacBAabBDdaCaAcAAaDdbCAacCAaAbBaAbBaAaccaAaAcBbCCCAaAbBbBaccaAcCcAaBaAacCAaAaAbCcCCBDdaBbBcCcCbAaCcAbcaAcAaAcCcCaCCcaACCAacccCaAcCaAcBbAcCaAcCcCaBaDaCcabBdDDdACcAdAbBaDBACcabBbdDBcBaaAAAaAaAabDdDdBbCcCbdDbBbBdAacCDbBBcDdcbDcCdDdDcCcCdDcCdDdDdBbDcCcCdDdBCcbBCCbbBbBaaDdAaBbdDDdDDbBbBaAbcDDcCdDAacCddDDaAdDaDdBbDCaAaAcCcCaAcCaAcdBbAcCaAddDDddCcaAacCcdcBbCcBAaDdbBDdDdAaAaDdAaAaAabCcBAabCbBbdDCcbbCbCcCcBbCbBbbACcaACcDdDdaAaaCBbBbBbDCcdDDdAaCBbcDDcADdcCDdDdaCCaAADCcdDAcCadaAaadDdDdDdDdDAADCcAcCAaadaaCcdDAAaAaADAaCaAcCaAaAaAaAaAcAaAAaadacdddcAacBcBbBbBbCcCcBbCcCcBbCbCAACcCcCcCcDDdDCcdDdDdDCcADCcAcCaCcCcAcCcCaAaAadaCcAaCcddAaCcaACcAaAaAccCCccCCaCcAdCADddDdDDCaAaAaAcddDdDdDBCcCcCcCCccCCccCcbDdaADdBbacdacCADDaDdAccCDdDAADCcdDdaAaCBbBbBbBbcAAaaCBbBbBbcaAadcCcCCBbaAcDdCdCAacdDDaCcaaCDDDcAcCDdDdcCcCDdaAaADdcCcCaaAAaadDACdDBbcCCcBbddDDDdBbDdBbcCBbBbCaAaCcdDCcCcdDAcCaAADCaAcAAacCaCcAAaaCaAaAaAaAaAcdDdaadDdDCcdDAcBbBbCccCDdBbDdBbdddDaAdDdDDdCBbcaADdaACBbBbBbcdcCcAaAAABbdCcDdCAdDDCcCaAcdDdaADddDBCcAaCcCCccCCccbdDdDdDdDdDdDDCcCcCaAcdBADcAbBdcBDdDdbBbBbBDdbdDCDaCcAdDbBbCcCcCcBdcCcCcBbBbBDdbCDaCBbBAdDaAdDdDdDdDaAdDaAaAaAdDabddCCcbBbBbBbBCBbBbccCcDdCCcADDdDCcCcdbBbBdDdDbBbBdaADbBdDdDbBDCcdDCcdbBbBDdDdbBdDbBdDDCcdbBdaccaACBbBbDdDdCbBAaADdDbBDdDCcdbBbBdaCBbBbcADDddDDCcCcCcdDCcCcdDdbBDddDdDdDDCcCcCcCcddabBcDdDDcAdDbBbCcBdDaAdcBDdbdbBbcCcCcCaAaAaABDBDdbdbaAcDdDdCBDdDCDbBbBdDdcdDdbCcaABDdDdDdDdDCcBbdbBDCcBDdDdbdDdDdbCcaACccDdCcCcCBDBbdDCcBbBbCcCcCcBDdbdbaABDBDdDdbBbdDdDdbaACccCBbcDdCaABbaACCcccCcCcCBDdbBDBbdDCDbCcBdDdcCcCcdbCCcCccBbCcCcaAcDdDdDdDdCcDdCBDdbBDBbBbBDdDdbdDBDdbBDdbCDbBbBaCBAaAdDdDabddDDcAdDdDaAaCddCAaAacCcBbDaAdDdBbcCBbDDddCbBcDdBbDdCAacDDBAdDaAabcCcCcCBAdDaAdDdDdDabdDcAaAaAaAbBdcBDdDdDdbBbBDdbdDBDdbdDBDdDdDdbCcBDdDdDdbBbdDdbcDdCaACccDdCCCcCccaACcBbcCBDCDaAaCcAbCcBaCBbdDBAdDaAdDdDdDdDabddDaADcCdaAaAabBADddCADdDbCdDdDaDdDdDdAaAaAaDdAaAdDcBDddDDddDDCcdDdbCdDcBDCcdDCcCcCcddDDCcCcdbBdDDddDDdDCcCcdbBdDdDbCcBbBDdDCcCcdbCaDdDdAaDdAcBdDbBDdDCcCcCcCcddabBADbBDdbBDdbBdDbBbCaAaAaDdDdAaDdAdDaAcCdDaAdDaDdAaDdAaAcCcCdDcBbBdabBAacBbBbDdcaAaACCbBCcAaADdacDDdabDdBCcCCccAdBbDdcaAaAaACBbcaACCCBDcCAacCAadDcCAaAadDcCAacCcCdbBbBDdDAaAadDAacCAacCAacCAadbBbBbBbcbBCccBbcaACCADDdDddDdDDdbCcBbCdDdDaDdAaDdDdAaAdDdDcBbBdaADbCaDdAaAdDaAcCaAaAcBbBdDbBDddaADbBdDbCaAaAaDdDdDdDdDdAcCaDdAdDdDdDaAaDdAdDdDcBbBDdbCdDaAdDdDcCdDaAdDaAaDdDdDdDdDdDdAaAdDcCdDaDdDdDdDdDdDdDdDdAdDcBdabBAacBbcaAaACcaACCbBCcCccDdDDBbBbBbBAdDdDaAabBAaAdDaAdDaAaAdDdDaAdDaAabdaCcADcAbBdDaAdcBDdDdbCcCDdDaAdcCDaAdDbBaCcAdcdDCDdcdDCDbBdDaCddcCcCBbCAaADbCcCdDdDdDcBDdDCcdDCcdbCaDdDdDdAcBbBDCcdbCaAcBdDbBDCcddDbBbBbCaDdDdAaDdAaAaDdAdDdDdDdDdDaAdDdDcBDCcdDdbCcBdabBAaCBbBbcAaAaCBDcCdbcbBCcCBbcADbBDddabBCcADdDDddDbCcBbCaAdDcCaDdAdDdDdDcCdDaAdDcBbBbCdDcCaDdAdDaDdDdDdDdAaDdAdDaAaDdAaAaAcCaDdDdDdAcBdaCcAabBCBbcADDCcCcCcddacDdCbBbBccaACDDBbdaCcbdDDdDdaAdDDCcCaAcCcCaAcCcCaAaAcdBbdDBCcCCcCccCCccCcCcCcAdBbCAacCbBCcADbBDCcCcCcCcdDCcCcCcCcCcCcCcCcCcdbCdDcCcBdabBAaADDCcdbCaDdDdDdAaDdDdAdDdDcCcCdDcBdabBCccBbcaACcCCbBbBCBDdDAaAadbcAaCcbBbBCBbcccCCADDCcdbBbCdDcCaAdDcCcCcBdDDdbBdDdaCcCBDAaAadbBDdDAacCcCdbBDcCAadDdDdDcCdDdDAaAadbcCBbBDcCAacCAaAaAacCcCdbBbBbBDdDdbBDcCdbcbBCcbBCBbBbcCBbBDAacCcCAaAadbBbccBbDDBbcCddcaACcCBbDaCCccbacDBbddDCADdBCCcCccAabdDBAdDDdabacCcDBbcCcCaAcDAadCddaAacCAaADCADddDdDdDDdaAdDDCaAcCcdBbBCCcCccADdDcAdcCcBDdbdbCcCCcccDdDdDdCCccCcDdCaAcDdCaABbaABbBDdbcDdDdCCcaACcCcCCccCCcCccBDBDdbBbCcdbCCcCcCcCcCccCCccBDdDdDdbaABDBbdbaABbaABbCcBDCDaAdcCcBbCcCDdcCcdDdDdDBbBbdDBbdDBbBbCDaCdaCCccAabBAabDddDDCcdDCcdaAacDdDccCcCDAadCBbaCcCcDdaACcCcaAAaaBdadDdDdDdDdDdDAadDdDdDAcbBbcAaCBbcCBCDdadDdDAcCaAadDdDdDdDAcdDCDbacadDABbCAADDdDddDDADCcCcAcDdCcDdDdCcCcDdCcDdDdDdCcDdCcCaAadaCcdDdDCcCcddAcDdCccCDAAdcCDBbdcCcCDdDBBbBbBbBCBaAaAbBaAaAaAbcbBbBbbBbdDDddDAaBBCAaBaAaAaAaAaAaAaAaAaAbBbcbBbBbbDCcdAcCadcCDaadDAABbAcCcCcCaaadCddDCABbDCcCcCcCaAcCcCcCaAcCaAaAaAcCaAaAaAaAaAaAcdacDdDddaADdacCcCcCcCcCcCcCcCcCcCcCAacCcCAacCcCAacCAacCcCcCcCADDaDdCcCcDDAaddDDCcCcABbaAaAaCcAaADdDCcdDdaADAaAaAaAcDdCcDdCaAcDdCcDdDdDdDdCcDdDdCaAadDdDAadaABbDAaAcCadDAaCcAaAcDdDdDdCaAcCaAaCcCcAadaADCcCcdaddCcCcAaAaaBBCcCdDdDCBBbBbbBDAaDCcbAabBaABdcCcBbCAAcBbCaaAAcBbCaacCdDdDAaAacCAaAaDCABdDbAbBaBdDbAaaAAaaABdDbaAacCDdAAaBbAbBbBaBdDbacddbBbbdbCdDaaAAdDaAcAaCcBdDbBbBbBDBCcbBbdDBbBCAbAaAaAaBbBbBaDaAdDaAbBdccdDCcCbdDdDBaACDdcaAcCaAbBCAbAaAaAaBbBbAaBdDdDbAaBaDdDbbBBaAaAbBaAbBdDdAaDdDaAaAdAdAcDACDdcCcCDdcCDdDdcaAacCACDdcadDcCcCdDAadDcCAaAadDcCdDcCdDcCAadDdCBbaDdDdAdDBbaABBbbaAaDaAdDbBaAaDaAbbAcBADdacBbBbBbCcCADdDDdDBBbbddDdDDddDdAACcaABACBbcabaaAaacBbBbCADDBBbAAaCcaBbBbAabddDDBACcCcAbBaAbBaaccCCBbbBbBbdDBACcCcAbBaAaAaAaCcabBACcaACcCcCcabBBbAaACcaccCCBbBbAAaaBbAacCbdDddDdAaAaAACcBACDbcCBbBdDdBbcabaAbBBbbcCBaABAabBbBbCcBACcaACcCcaACBBbBbbDbcCDDddDdBbbdDdDdDBBdcabaaDdaAaAacCADDBBbBbbddabCAacCaBBbbDdDaAaAaAdBBbBbbBbBbAADDaAaAdDdDaBdDDddDbAdDAaaAAAaAaAaadDddaaAaDaAdBBbBaAaAaAdAbAaAaBdDaAbBaAdABbaAdDaDbAaAaAaAaBbBdABBbBbBbDdBbBbbaDdAaDbBbAaAaAaBbBaccdDCbBcCbdbCaAaDdDdDBbBbdDdAdDaaaAAAcBdDbCcBbCaDdAcCaDdAaAdDdDcCcCaDBbBbBbdDBbBbdAcAaCcBdDdDbBbAdACcCDdDdAaDdAaAacCDdcBbCDdAacBbBbaDdDdAaDaAdAaABbBbaDaAaAaAdDaCcAdABbCAaAaDdAaDdDdDdAacBbCAaDdcCAaDdDdcBbaDdDaBdDbAaCaDBbdDdAdDcCaaAaaAAAaAaDdAcBDddDdDDBBdABBbbaDBbDcBbBbBbCdbccCCCDbBaAaAaAbBdAacaAaAaAbdbBDBCDdDaAdcBBbBbDAadDDbbBaAaAaAaAAaAaAaBbBdDdcCdDAAcCcBbBbBbBbBbCaaDCABbAbBaAaBdDdDbBdDdDdDdDdDdDbAaaaAAaDBbBbdcCDBbdDdAAbBbBbBaBdDdDdDbAbBaAaAbBaaAAbBaAaBdDbAaAbBbBaAbBaAbBbBaacdAaddAaABbBBbbaDdCdaAabcCabBAabBAcCaABABbBcCbaABAacCcCABbBbBbacCABbBbaABbBbBbBbBbaABbacCAaAaABbBbBbBbBbBbBbaAacCbaABABbBbacCABbBbBbBbBbababcCcCBbcCaaAABABABbabBbBAabDdDdaABbDdaADdaADcCdDdBbababBaBbAaBbBbAaAADdBbBADdaABcCAaABbacCABbBbacCbDcCdBbDdBbBbBAabDdaADdabaaAAcCDdcCDdDdaaAAcCcCcCcCcCBbcCBABAabDcDBbbBDDdAAcCaAcBbCaacCddABbBBAabbaCcCdDdBbBcCAaABbBbBbabBcCbaAabDdBbBAabDdcCDdBbDdDdcCcCDdBAaABbBbDdabcCaaBbAaAaAbBaAbBbBABAabDdDdBABbabaAaADdabBbBaBbBbBbBbBbAaAbBAcCcCaaBbBbBbAbBbBaBbAbBbBAcCDdDdaAcCaaAaBbAbBbBAaAaaBbBbAABbBABbBcCcCbBcCbBbaADcCcAaABBbbaDBbDddCcCcABBbbaDBbbCccCbBCcaACcaAcCBDDbAaAaBCAaaAAaAaAacdDCaAaADdcbaAAaAaaAbBBCaAaAcbAaaAaABdddCcCdBcCABbaABbBbBbabBcCbDcDDAAcCcBbCcBbCaaDCcbaABbbBAaaAaAAaAaBCDBbdAaaADBbBbBbdaADBbBbdcdDCDdAaAaABbBdDdDbAbBbBaAaAaAbBaaAAaAbBaBdDdDdDdDdDdDbBbaAAaacbaAbBBCcbbBbBBbAaaABbBdDbBdAaDCAAbBbBbBaAbBaBdDbaDdDdDdDdDdaAaAAacdDdcBbCDCaAaAaAAAaBbAbBbBaBbAbBaBbaDBbBbdABdDbacCDdcCDdaADBbdAaDdAaaAAaABdDbAbBbBbBbBbBaAbBbBbBaBbacddBbBbDAacCAaDCcCDdcbaAaAaABbbBBdAAcCcCaaddCdBbBcCcCcCABbaAacCbaAaAabDdBAabBADdDdabcCDdDdBAaADcCcCdabDdBABcCcCABbaAaABbacCcCcCbaAabcCBABcCcCcCcCAacCAabDcDdCdaAaABcCcCcCcCAacCbBAaABbaABbaABbaABbBbacCbBABbBbBbBbabBcCAacCcCbabaaAbBaAAaaAaBbBbBbBbBbBbAaAaBbBbAaAABbaaBbBbBbAbBaBbAaBbBbBbAbBAaAcCcCDdcCDdcCDdcCaADdBABABbBbabDdabcCaaAAcCBADcAaDDcBbCcCAAaacCcCDCABbAaBbAbBbBaAbBaBbAbBaAaBdDdDdDdDbBbAbBaacdcCDdcBbCAAaAaaAAaAaAaadbBDAacCcBbBbCDdDCaAaAABdDbaaAaAcCDBbBbdDBbdcddDddCcAaCcCcCcABbBBAabbaDbCDdcBDcCddCdabBbcCDdBABAaAacCcCABbBbaAacCbaADcCcDDDbbBaAAaBbbBaAbBbBAabBBCABdDbBbBbaDBbBbdABbBdDdDbAbBbBbBbBaBbaABbaDBbdDBbdaAAAaBbBdDbBdDbacCaAaAAaaAcbAaaAaABbAaaAbBbBBdAaAacCcCcCcCdDdbCcBbccCcCcbdDBcCcCcBAaccCBBCcdDdDBcddDDaAaAaACcCDDBBbbBBDdbBbbdCcDBbdCcDBbBbBBbbBBDdDdbbdCaAaAaAcCaAcdcBDdbddaAbbBbBbDdBbDdBbBbBbDdDdBBbBDdDDCAAaAaaAAaaDCcCaBbBbBDCcCBbDdDCcdbBDdBCcBbBbCaAaCcAaAcbbBBbcCBCcbcddaACcDDCBBbbbBbBcCBCaAdAaBbAaBbDaAdDdAaDdBbBbBbDdDcBbBbCdBbDdBbDcbbBcCDCaAaaAaAAcdcdDddaaaAAaDdcCDdAacBbbBBbBbCAAaadDAAaacbBBbBbCaAAADBbcaAaDdDBbBbdDBbbBbBaAdACbBBbcCDdcaAaAaDBbaAdDdAaDbcDDdbBDddaAadDADdCBdDbBdACcaDbcCcaADdDDdbBdDDddCBdDaAdDdDBbbcadDdDAaADdCcCcadDACcDDdDddadDdDdDdDdDdDdDdDdDADDdbBbBdDdadDdDADDddDbBdCcCcCBdACDdbBbAADDcCAaAaddDDddCcaaBdDdCcDdaaDdDdcBbCdDaAcbBCDddDAacBbBbBbCaAaAcBbBbCDdaAdDaAdDcBbBbCaAcbBbBCcBbbBBbCAaAaAAaadDAAaAaaDddDAAaadDAAaADbAaBcaAaDbBdAaAaAaDaAdAaAaAaDbBdAaAaAaAaAaAaACcaDbBbBdACDddaaDdAadDdDAACdDdDcDBbbAaAADdaACBaAbcCBbcAAaaCBbBaAddbCcCcBBbDdBbbBdDAcCcCcCCBCDaAdcCcCBaAaCDdcAaAaCcCccdDCCDdDdDdcCDdccDdCcdcCAacCcCcCAaAaDdDDdDdDdDdDdDddcCcCDDdDdCAaAbCABbADDdDdbBbBdaBbADAaDBbBbdAaAadDddAaAaBbBcCbDaAdAaDDbBDBbdDBbdbBDBbdAaAabBbBbBdDbBDdbBbBdDddDdBbBcCcAaAaAaCbBcCbDDAaAaDBbBbBbBbdAaAabBdaacCAaABbacBbcbBCCAADbBdaAaBbaAADbBdDbBAadDdDbBbBbBbBAaAaAaAaddBcCbAaBcAaAaAaCbAaDdDdAaBcAaCcAaAaAaAaCbBcAaCbBbBcAaCbAaBbDaacCABbAdBcCcCcCcAaAaAaAaCcCbAaAaAaAaAaDDDBbdbBDdDdddAaBbDaacBbDaAbBaAbBdcCDbBAaAaAaABcCAacCcCbabBAadcbBCBacdcCAacCcCDDddAaDCcdcCDDdCCDdccDddcCcCDCAbDADdDdabBbBbBdBaCcAacCCDdDdDdcAbcCCAaccbcaAaDdbCcCcBbCcCcCcBDdACBCCAaAADbBddBcAaAaAaCcCcAaAaCcAaAaCbAaAaAaBbAaAaBcCbAaAaBbAaBbBbDdAaAaAaDaBbAdDdBcAaAaAaAaCbDDDdAaAaAaDBbBbdDBbdDBbBbBbdDdbBDdDdbBbBAaDdbBbBbBDBbBbdDBbBbBbdDddaBbacBbcbBCBbDbBbBdCcBbBaAbBbcCDaAdDbBaAdCAADdDdaBbAaBbaAAdDdBcCcAaCcAaCcAaCcAaAaCcAaAaCcAaAaAaAaAaCcCbAaAaDDDBbdAaDBbBbdbBdaBbacBbcbBCCccCCcBaCDdccCAbcbBCDAaaAABAAaababBaAaAbBdcCcbdDBCDbBdDbBaAAadBbBbcCCAacCcDdDbBdcCBbBacCCcAacCCDdDdDdcAacCCcAbcCcCcCDdBbcCCccCcCBbcbBCDbBaAAaADdabBAadCcDbBaAbBdcCBacCCDdDdDdDdDdDdDdcAbcbdDdDcabBACBbdDcCdDdDcabCcBbBBbdDBbDdbBdDDdAcCadDAAbBDdBcCbbBDCcCcCAaAacCAacdDdDCAacCcdbBbBbBaABccCDdCADdCcCBbACcDddcCcCDdcCcCcCDCcCcDdacDdaACcacDdDdDdcCDdBaAaaAaACDdDbBdDdDdcAaaACDbBbBbBbBbBbBdcAaCDbBdDdcCDbBdcaAAbBAabBAabBAaaCcCcaAAbCcDdDdcbDdDdBCBAaaCDdDbBdcAaCcaAaAAAaAabCccbBCCcCcBaCcAaCDdDdDdcCDbBbBbBbBdDdDdDdcaAaAAbBbCbdcCAbBbCaAaAaACBDdaCaAcBbBbADdDdDdbcCccAaBaDDdaCcaAcDdCaAaBbDdbCcBDDddDDbcacCcCcCcDdCACBddDDaAdddDBbACBCBbcbdDcADCcddAbAaAaBbAcCcCcCaCaAcCcBbBbCaAaAaAaAcAaAcCcCaBaDBbbBbBdDDddcCDDCcdacCAaAdcCAaDDdBACcaACcCcabdcCDbBbBbBaAdcCDDCcdBACBbAdcCDaBbcDdDdCADdCcCcDdDddDCcDdDddDacabaCdDdDBbBbdDBCBacCAbcCCAAdDdBbBcAaCbDdBcCbAaAaDDDBbdbBAabBbBbBDBbBbdbBdDdaacCcDdcbccDdDdDdDdCaDddDBbDDdDaAbcCcaaAcCADDcCddDDaDdBbAdDcCddacDBBDdDAadbBbbBBDdbBbBbbBbdCaBcCDCDCcdcdDdbAcdbbAAaaAddDDaAddDDaBbBBAabaAbbDbcDdDBbdDdCBbACbBcDDBDAcCcCaAAbBDdbBDdacCBbcCAaAAAadDcCcCcCaDdaadaADAAbBacCAaBbAaADdDdAcCabBDdAabBAcCcCAacCdDABbBbBbaabBacCBCdCAaAbBacDdDdCcDcbaDaADddDaADdaAdABbAbBDdAcCdBbCdDcBbCdDdDdDdDcDaDdDdAdDaaAbBaadcCDDCcddcCBbbCcAaCbCCccBcBbddCbBACcCcCcCcCcCcacDDAaAaCcBcCcCcCcCBbBbcCaAbCcBbdDCcAaddCcaACcCACcCcCcCcCcCcabBbBcDdaBbcCbDdBcCACcabDbBDdDdDdbAdDdDaAdDdDaBdDdDbAaBbAdDaAaAaAaBDdDddBcCBbBaccCBdDbabCcBbaDBbBbBbdDdACbBCaACdbBDDCcdDCDDddDBBbBbBbbBbdDDbBDBbdddcCDdcCDaCBDcCccbBbBcCCcbBcCbBbBBbcCCaAaAaAaAaACAacaAcCcCccCbBbBBbbBCaAccCCCAABbBCcbaaAABCcAaAaBcaAdDdcCcCcCDdDCcCcdcCcCDdcCcCcCcCDaAdDdDdcCcCcCcCDaAaAdDaBbACBCaDdAcAaCcCcAdcCCcAaDaAaAdDaCadcCaAcCdAaDaADAadaAdDDAcbcCbCcAcAaCcCcCcCaCcAcAaAaCaCcAcAaAaCabBbBbaaAAaAaaccCaAcCCcaACcCcCAAaABbaaAAaABAcCcCcAaAaAaCaAcAaAaCabBbBbaAaadbbCdDcCdaAabBAabcDdCcDcCdCcDcCcCcAaCcCdCcDcAdDdDaCcAdDaCcAaCdCcDcCdCBbcCBbcCBAabcDcAdDdDdDaCcAdDdDdDaAaAaCdDcCcCdCcCBAabcDcCdDcAaAdDdDaAdDaAdDdDaAaAaAaAaAaAdDaCdCcDdCBAabcCcDcAdDaCdCBAaADdaADdDcBdDBBbDAABAaCcbBAaBBbcCbCcAaCcAcCaAaBcCbCcbBBDdbbaaccBbbBcCbBBbCaAcBbBbcCcCbBCCAadbcCbCcCcCcCdDdDcCdDdaAaAabBbcCcDdCcDdDcAaCcCcAdDdDdDdDaAaCcCdCBbcDcCdDcCcAaCcCdDcCdDdCBAaAabcCcCBbcCBbcCBbcDcCdDdDdCBbBbBAabBbBbBAabcCBbcDdDcCdDcCdDcCcCdDcAaAaCdDdDdCBbcDdDcCdDcAdDaCcAaAaAaAaAdDaCdCcDdCBbBbBbcCcDcAdDaCdCBbBbcDcAaCcAdDdDaAaCdCBbcDdDdDdCcDdDdCcCcDdCBAaAaADcBcaAacBBccCCCcccCCcCbbBBCcbBbbbBbBCAaAaAABAaAccCcCCAaAaaBbAccCcCcCcCcCcCcCcCcCcCCabdcCDaacBBbbCAAdcdDdBaABbaAbdDDCDBbaABbaacBbbBCcBBccCCbBCcCcccCcCCbbCAABbaABbaABbdbBDaacbAaAdDdDdDaAdDdDaAaBbAdDdDaAdDaBCcCACdaADbCcCcBbCdabBbcCcDdCBbBbcDcAdDaCcAaCdCcDcAaCcCcCdCBAaADdDdabcDdCBbBAaADdaADdDdabcCBbcCBAabBAabBAabcCBbcDdDcCdCBAabcDdDcAaCdCcCcDdDdCcDcCcCdCBbBADdaAabBbcDdCBAaADcBBaCdDdDcCdDdDdDDBbddDDdbBDBbBcCcCcCbdcAaCbBDBcCcCbBcCcCcCbBbBbBbdcCbBcCcAaAbbBBaCbBbBcADAadBCcCcBccCcCcBaAbCCaAaCcAaCcCcAbdaAaADbBBDCcCcdcCbdDbDAaAacCccCaAaACdbbBbBbBbCcCdDcCcBdaADcCbBbBdDdaAdbBDdbBcCbbdAaDdAaAaDdDBbCABbBbaABbaABbBbBbacdAaAaDdDCABbBbBbacCcBBDDdaADdaAdcCbBDdDdcCbbBbBBcCcCbBbbBBcCcCbbdABbaDdDCABbBbBbBbacdAaDdDCAaAaAaABbacCcdABbaABbBbaAaABbBbBbBbBbBbaDCcBbCAacCABbaABbBbBbBbacdAaABbBbaABbBbaAaDBbCcdABbBbaDCAaAaAaABbacBBDDBbdDBbbBBaAaCDBbBbddDDBbBbdbBdDDBcCbBcCcCbBbBbBcCbdDBcCbBbddDDdcABBDdcccCBdDdDDdDddBBdDdDbbBBdaADdaADdaAaAaAaAaAaADbBdDdDdaADdaAaAaAaADbBbBdDbbDDdbcAacCABBbbbBacCABBbBbbDAadDdbBbBbBDAadBbaCCccCBDdDdbBaCdDcBDCcDddbAaCcCdBBCcBdDbBDDddDDdCcCcdcCcCdDDdbbbBBbBCcCcbBBdDbBdDcCcCcCcCcCbCcCcbBbBBdDdDdDcCbCcBbCcBDCcCcdDCcCcDddDDDDcCcCDdcCDddDdDcCdDDddDcCcCdDcCdDddDdDdDddCcCcdDDDDdDDddDddDDdDcCcCDdcCDdddDdDDcCddDdDdddcCdDcCDdcCbCcCcBcCcCcCbbbDcCdDcAdBbBBbbDbCCDCcCcdcccCccCAaCcCCCcCbBcCbbbBDdBbDAAaABAcAaCaAabBBDaAabCcCcCcCcCcBAaAaAaAdBBaDdDdaADdAaaABBaCcCcCDdcCDdDaAaAabBbBbdDdDBAaAdDdDdcCDaAdDdcAaADDCcddDDcDbbBAabBbBBbAabBBdCCcaACccCaDdDdDdDdDdACcddDdbcCcAaCbDdaADdAbBaAbbbCcBDaAdbbBCcCcAabBCcbaABCcAcCcAaAaAaAaAaCcAaAaCcCaBDabCcCcBbBAabCcBbBAdcaACBBaBbaAAbbcdcCcCcCDCDaAabBbCcBAaAdbbaaAaAAaaccBbbBCcCCdBCcBbbDcCdDdDdaCDdbBcCDBcCcCcCcCcCcCcCbddDbBbBdDbBdDcADcCAAaABCcCcbaAaAaadbcAdbBbBcCbBbBDaacBBbBcCCcbbBbCcbAaBbAdDaBBbBbBBcCccCcCCbBCcbbCAaACbCdDdaAabcDcAdDdDaCcCcCcCdCcDcCdCcDcAaCcAaAdDaCdDcCdDdCBAabBbBADcCcBdDBbcCBaAaCbBDBcCbBbdDBbBcCbBcCbdcCdDbBdDbBDdDBbBcCcCbBbBcCcCbddDDBbBcCbddDcCbBdDdDcCDdbBDBcCbdcCdDdDDddDbBdDDBcCbBbdbBdDDBcCbBcCbdcCDBcCcCcCbdDdbBDBbBbdbBdDdDDdDBbBbBcCbBcCbdDdbBbBdDDBbBcCbdcABdDbBdaAaADBbbDcCdbbCdaADcBbCcBbBbBcAdDdDDDaacDAaDddBbCAAdddDdcCcdDCbBcdACcCcCcaDdDCbBDBAaAabDbccbBBbbDdBCABbBbaCaAccCcCCCDdAacCDbadDcCdDAAaaCBbaAcdDcDDaCBbcCdDcAccAaCCaCcAdDcCdDcCcCaCBbdDBbcCBbBbBbBbcAaAaCdDcCBbBbdDBbdDBbdDcAaCBbBbBbdDBbdDcCBbcCdDBbBbBbBbBbBbdDBbBbBbcCdDdDBbcAaCcCcCdDBbBbBbdDcAddaAaADDdDccAaAaCCdDaCcCcCdDBbdDBbcAaAcCaAddDDdDdDaCBbBbdDBbBbcAccCcAaAaAaAaAaCcAaCCddCCaAaAaABbcCBbBbcAAaaAadDcDDddcBbCDdCAAaAaacaADDddcBbdDBbCcBbBbCcBbdDBbBbBbdDCaAaADdaAaAcCaAcdaAaAaADdDBbBbdaAaADBbBbBbBbdDCDDddaADdDDdDddcCcCcCcCaADdDdaACCaAcAacaAaADDaAccCcAaCcAaCCaCBbdDcAdDaAcCddcBbBbBbdaADCCdDCBbaAcdDcCdDAaCcCBbcCaABbccDdaADdaADdCCaAcAAaaCaAcABDdbacDdaADdcdDdDCDdcCaAaAcBbdDBbBbBbdaADdDCcdDCaAaAcdDBbdaADdDBbdaAaADBbdDBbCaAaAaACAAaBbBbBDdDcCddAaCBAAaAaAaAadbBbBbBbBbBDAaaDdAaDdDdbcDDcCaAcCcCCcCbAaAaAaAaBccCaAaAdDcCcCcCCcCbAaBcdDCccCcCaAdDCbBcCcaAdDaAdbAaAaBDdbAaBbAaadDCcCBbcCBbaABbaABbaABbBbcCaAcdDCBbcCaABbaAcCcCBbaABbcCcCaAcdDdDcaAaAaAaAcdDdaADBbBbdDBbBbBbBbdaAaADCcBbBbBbdaAaAaADdaADdDdDBbCaACdDdDCccaACcaAcCcBbBbdDBbBbBbBbdaAaAaAaAaAaAaADdaADCaAcCaACdDdDAAaadDdDdDCaAcAAaaAAaAaaABDddcCCBDdDdAaaAbcCcDdCBAdDabBaAaAbBaAAAaabBDdaADdAabccCcaAccbDdDdDdDdDdDdDdDdDdBBbbBBbaACCccaAaACCcCBbccBbaAaAacBbBbBbCAbBacCcBbBbBbCcCAaACcBbacBbBbBbBbCcBbBbCcCAbDdBaACAaCccCcCCaAaACDbaAaCaABbcCaAaAcCaABbBbccDDcCddcCDdaADdCCBbBbaAaAaAcAaCaAaABbBbaAccaAaACABDaAcCCbBcCbBcaAaAddcCcBdDbCDdcBDaAdDAaaAaAdddcCcddCcDACcacCcaAcbBCCBBdDdAaDbaABdDBBddCcCcDaCBbDdcCBbDdabBbDdDdBdDbDdBdDCBDdDdbCcBDdDdbcCCccAcCcCBbaAcADBCcCcCcCcbBbBCcbBCcCcbdaCBbabBAadDCcbBdDCcbDdBdDADdcCDdBbDdaCBbCDdDbBbBbBbBbBbBDBDdDcCcCcCcCdbBDdDdDdbBbBDcCcCcCcCdbBbddDbBDBDcCdDdDdDdDdDdDcCcCcCdbBbBDcCcCcCcCcCdDdDcCdDcCcCcCcCdDcCcCcCdbBbdbBbBDdbBDdbBDdDBDdDdDdDdbdDBDcCdDdDcCcCdbBDcCdbdDBbddcCDDddDbBbBDddDbBdccCBDdDdbCccdDCCcBDdDdbCcBbCDdDDBbdDBbBbdbBDddDbBdDdDbBDdbBdcCDdDDBDcCcCdbBDcCcCcCdbdbBDdbBbBdDdcBDdDdbcbDdBbDdBbDdBCBbcCcbDdBdDAcAdDDBbbAaAaDdcCaADdBBbbbbbdCcddDDdDbBCcCcbBCcddDaADDDCDdcdDdBBdAAaadDAaDdDBAaccaAbBbBbBaACcbBbBcdDCaAaAbBcCaAbBCCBbaABbbdCBbBbBbBbcCBbcdDCcAAaAaaAAaaAAaadDAadDDBACBbBbcCBbBbBbBbcaDCcdACcCcaBbDdaAACBbBbBbcCBbBbBbcaDdDdBbbdCcCBbBbBbBbcDdDbCcbdDDCcCDaaAAaaACcaAaAaAAdbBDdbBcdDCDDbCCBbccCAaAaAaDDcCaACbAaAaAaAaAaBbBbBcdDdbAaBDaAaAddcCccCcCaABDdbBbcCcCBbccbBBbbDdBbBBbCCcAacBbCABbBbBbBbacacBbCABbbBaABbBbaAaAbDdDdDdDdDdDdDdDdDdBaAbDdBbDdBBbBbbDdBCCaACcCDDcCCbBcaAddDbAaaABDCbBbBbBbBcdbadDcDdDDdDaCcAcCdDaAdDaCBbcAaAddaAcBbBbdDCcCaADDaCcCdDcAccAaCcAaCCaCBbBbBbcAddaADDddDdDdcdaAaAaAaADdaAaADCDDaAdDaCcCcCBbBbBbdDdDcAaCcCdDcCBbdDdDdDcAccCcAaAaCcCCccAaAaCCaCcCdDcCBbBbdDcAdDddcBbdDBbCDDccAaAaAaAaAaCcCcCcCCcCaAddaACCaAaAaABbcdDdDcDdaAcBbdaAaAaAaAaADCaACCaAcABbacCCBbaAaAcAAaaAaAAaAaAaAaacDdCCaAaAaAaAaAcABDCbBbAaBbBcaAaAdbAaBbAaaAaAaAacDDccAaAaCCcCccAaCcAaAaAaCCddaAcBbCaAcdaAaADBbCcdDdDBbdaADBbdaADBbCaAcCDDdDaCBbBbdDcCBbBbBbBbBbBbcAcCdDdDaCBbdDBbBbdDcAccCCccAaCCddaACcaACAaABbaCcAadDdDCcAacaAaACdDcCdDdDCcdDdDAaCaAaAaAaABbBbccaAcBbCDdDdCCBbBbaABbaAcAacaAaADDaAdDddCdDcDdaACdDCBbBbcdDAaAAaAaaCBbBbcdDcaACAadDABDCcCccCcCdDaAdDcCCcaAcCcCcCcCddcBdaAaCcCbCdabcDcCdCcDdDdCcCcCBAaADdDdDdaAaAabBAabcCcCBbBbBADcBddcCcCbbCAaAaAacBBcCDDbBdDbCdDcBcacbBCACddDdbBbbBbCABbacCcdAaDBBcCDaAaAaADcADbBbCcCAaCBaAbBaAaADdbBbcDDddAaCcDbBbAaadDdDcDDddaADdcCDdDDaCcCcAcCdDddCCBbcAAaAaaCBbaAaAcAAaBbBdDdCBAaaAAAadbBDAaAadbBbBDAadDdDdbBbBbBbBbBDaAaAdDdDdbBDdDAadbBDaAdbBDaDdaAaAbBaADdbBAAadDdDaDdbcDDCbBbAaBbBbAaBbAaAaAaAaBcaAaAaAaACcCcCcdDCbAaBcaAcCCcCbAaAaAaBcCbBcCbBbAaAaBbBbAaAaAaAaAaAaBbBccCCccCCcaACcaACbAaAaAaBbBbBbAaAaAaAaBbBcdDcCCcCcddcCDDcCcCddcBdaABBbbDbaABdBBbBbAAAaAcCcCcCcCcCaacCccCCAbcCcCcCcCBaaAccCcCCabDdaAaAaCcAaacCAAdcCbBDdcdBCCCcDdcCCaBbAaBddDdDdDDbAcdadaCcAaBbAaBDdcCcCcCcCDdbdcCcCDdcCbBcCcCDAaADdaBDdDdcCbADdadbBcCcCDAaAaCDdcdcCcCbBDAaBDdcCbADcCcCADdacCdaCcCcBcCbCDdDdDdDdcdcCbBDCcCDdcBDdDdDdbdDBDdDdDdDdcCDdcCcCbCDdDdcBDdcCcCbAadbBDdDdbBcCDADcCdDdDAadDdaAaBcCcCDdcCcCDdbBDdDdDdDdDdcCDdbBcCcCcCcCcCcCbBDdcCDdbCcBDdbADdaADcCADdDCcDdCaBbAaBbBbAcccbdDdDACcCcCcCcCcaBbBbcccCcCCcCCdbBCcbBDBaABBBbBddCcCcCcCcDaAaADddDdDdDaCcCDdabBdDdDdDAaCCcBDdbBDdbCDbBbBDddccCBbBbBDdbcCCDdcCcCcBbcbDdBdDAadDCcdDbBdDCcbBdDbBAabBCBDdDdbcCcdDbDdBAcCDdaAcAaADbbbCcaDdAaDBbBbBccCCcCbBcCccCcCcCcCCbdaCCcCccAaBdDdDbbBCCccCDdCcCccAAbdCcCcCcbBdaAaCcCdDaAdDdDdDaAdDaAaAaAcCdDcAaCdDcCcAdDaCdDcAaCaAcADbBdDDBbACcacCACcCcacCACcCcCcCcaACcCcCcadCcddDdDdDdDDddDdDDdaAaAaCdDdDcAaADDACcaDddDBBddDDBbBBBCcbbbBaAcdDdDdDdDdDCDdcdDdDcaAbBaAbBcdDCCdDdDdDdDdDcbBcCcdDCaACcbBaAcdDCcdDCcCCccCCdDCbddDAaAaAAaaAAaAaaCcAaAAaAaAaAaaDBDCCccdaAcCaAbbaabBAaBdDbcCBbbbCdAaAaCcCcCBbcCCABbBbBAababBdDdDcBbcAaDcCcBBcCbBBbAAaAaDdDdAaaBbBdDdDbBdDdDdDdDdDdDbADdDdDdaBdDdDdDdDbBbcCbBCCcCcDdCcCcCcDdCccCDdcBbAabBCCcCcCcCcDdCcDdCcDdDdcADBccCCbdACCccbccCCAaDddCcDACcCcaDddbBdaCdDdDaAdDaAdDcCdDdDdDdDaAaAaAaAaAdDdDcCcCaAaAdDaAdDdDdDcADbBbBdDddDDDdCcdaAdDaAaADbBCcDccbBccDDcCbBbBbBcCdDdAaAaAadDdDAaAadCBABbadDbaACccCBdCcDdCcCcCcCcCcCcDABDBCCcDdCbBccbdbcCabcCaAaAcDdCcCaAcdbbBbBdDbBBaAAaDDAaAaDcCcCbabBAaABbaACCBbBbBbcbBAabBAdDdbBbBDaAdDaCcCBbcDdbBcBcCcCdDdAaAaAaDcCbaAacCACDdcBdDdDcCcCbCbBAacBcCcCcCcCcCcCcCcCcCddDAadDDdDdddaAbCcBDCaDdABdDbcCCCCBBdAaDBBBbbAaaABbDCBbcdACBbcaBddDaCcAdCcDdCcDaCadDAaAcAdCcDdCcDaCcAaCcCcCabBAaCBDdDdbCcBDdDdbcCcAadDCcCcAaCcCcdDbDdDdBbBCBbcADdcCDdBbBbcCDdBbBbDdcAdCcDaCcAaCBbDdcAdDdDDbccCdDccdDCCCcdDcbBCdDccdDdDCaAbBCCBdDBCcbbaABbcdDCBbaABbcCaADdAacCbdAaCBbBbBbcDbaDBbBbdDdDdAaDdacCCCccbBCCcDdccCBdDbBbCDdcAaCDdCcCcCcDdCccAAbDdACcadDdCcbBddDaAdDdDdDdDdDaCcCdDdDaAcCcCcCcAdDDCcDDCcddddDDdDbBCcCcCcCcDdCcddDdDdDDCcCcbBDDCbBbBDBBbBbBbAaBbbdDdbBcdDdcCAacaAadcCDAaAaDdACcCdDDdDCDBAAbBbcCBAaacCAacCAAcCcCcCaaAAcCaAcCcCaaAbcCBAaAaAcCabcCcCcCcCcCBAabBaAbBAcCaaaAcCcCccCCaBbbDdBbdDDDdDAaaAaaAaAAdDddBAabDddDdbBcCDDDaAaABbddDdaCBbcacCcCcBbBBCcbbBbBBbBbbCcbBCAABBbbBAAaaBbAccCcCcCcCCcCAbBacCAaaBbbdDaCddDaAdbbCAacdABbBbBbaDdDCABbBbaABbaABbBbaAaABbBbBbBbaABbBbacBBDDdaADBaCbBbBdDcAaCdDdDcAaAbddcCcCbbBbdABbBbaAaDBbdAaDBBDaAdcCbbBbCcCcBBcCDaAdDDdaAaADbCdabBADdabBbBADcBBDcaACdbcABBbBbbDddDDdBbaaAaAacBBccCcCCbBCcCcbBCcCcbbCAacbAdDdDaAaBbBBbbBBBbbCAAdDaacCACcaACdDcacbAdDaAdDdDaBBbBbbAdDdDaBBbBBccCcCcCCbBcCCccCbbbBCcBbBBcCcCcCCcCcCccCCcbBbBCccCCcCcbBCccCCcbBbbCcbBbBBBCcbBCcCcccCCbbBBbBCcCcCcbBCcCcbBbBccCcCcCCbbCACcCbBBaCDdbBDddDDBbddDbBbBDBbBbdbBcCDddDdDbBcCbBdDcCDdcAbbCcBBDAaAaAacaACAAaAaABCcCcbaaAAaadDdDcccCBbbBbBBbCCAAaABAcAaCabBCcCcbBBbAaBBbcdDaACbCcAaBbAaAaAcCcAaAaAaCcCaBBBbCaDDdDdddDDDAcCcCaddDdAcCcbcCbBBCcBaBBDdDdaADdbBDDCcCccDbcCBdAaCCcddDdDDCcaAaDdDdAbBcDbBdDbbBBdAaDdCcCcCaAbBaAbBbBddbbAbAddDdBbbdDBBbBbBcCBbCcbbBbdDBDDdDaAdAaDdcCAacCCcCcCcDaCadaADdaAaAcCDdcCDAaDaBbcCAdDdDaAaBbcCBbBbAaADAcCaddDaadDdDdcCDABbBbadcCcCcCcCcCDABbADAaAaAcCcCcCcCcCadDdacCadDdDdDABbAdAaAcAabBbcaACDabCcBAdBAaAaCcbDdBbcCcdcCDdDCcCcdcCcCcCDCBBbbcdcCDdDaAdDaBDdbBbACDabCcCcBAdcdDaBbBDcCdbBbBbBDdbACDdBCaAaAadddcCcCDdBbDDdDdAadDdDDDDdDacCcCcCAaAddcCDDacCBbadDAAacCcCaAcCAaAddaADDdAcbDaAdcaBbBbBDcCdbAaAdDdDaBDdDdbAaBbBbACDdbAaAcCaCcCcAcAaAaCcAaCcCaCcBBAdDaAaCcBbBaAbAdCcAacCCcAadbdDCcdDAaCcCcdDAaBbCcBDCccCAacCDdDdAaCcCccCcCcCdbdDCcdDBbBBbbCcdDdDCcCcBbdDAadDAaAaAaCcAaBBCdbBDdbBbBbBbBDdDccCCdbBbBbBDdDcCdbBDdbBbBbBbBbBbBDcBbAdDdDaCcCdbBDdDdbBbBbBbBbBbBbBDcAabDCcCcAadBbDCccCDaBbBbbcaBDdDdDdDdbBDdbBDdbBbAdcCcCcCDCcaBbAdDCcdcCcCDCcdcCcCcCDdDCBBbBaBcCbDdDdAbbcCBAddBAdDdDaBBaAAabbAaBbcCCdDdbBDcAaBbBBbBbbCccCAdDaCdbBDdbBDcCcbbBDdBAaCcbbBDDabbbaaAadbcCBbdaADdDddcCDDdDbBddDDBBBDdbdaAaADdDBDdDdaAbBDdDdcccCCccAbBDdbBbBBbDdacCCCccADdacCAaCBbCcCccCccCCcCBbBdBBdaAaADdDbbBbDaBBbBbBbbCcBbADddBBdDdDbBbBdDdDdaAaAaAaADdaADbbBbDDdbBbBaBBbDdBbDDdDBbBbBbdDdDBbBbdCcCcDddBbBbbBDCcDdDBbBbBbBbdDdCcdbBDCcDdCcdBbBbbADdaADdaCdDdBbDdDdDcCcBDdbAdBBbBdaAaAaAaAaAaAaADdaAaAaADbbDaCcCdBbDdDcCcCcBBbBbBbBbBbBbBbDdbADdbBdDaCcBbBBbDdbCcCcCdDdDcBBbbAbccCABBbbBbBbBbacCcCcCcCcCCCcCCaCcADdDdDdbbBCAacbbBDdbBbBaADcaAccCBbCcBbCCccbBCaACcaAccCcCBbCCAABbBCcbBbBBcdDdDdDCcdDdcCcCDdDaBbBDdDcCdbAaACbbaacaACcaACdDdDAacccCCcbBbBCccCbBBbbBBbCCdDdbdDbBdDcAdDaCcacbAdDdDdDdDaAaAaBbAaBbAaAdDdDaAdDdDaBBbBbbBBBbbBbBBbBbBCcbbbAdDaBbBCAADDAbBaaABccCAaAaBDdDdbBbCccCcCcCCbBDCcCAaABCcCcABDdbaCcCcbbCcCcBbBBCcAabBABbcDdbBAaCBCdAabBbBAAbAaBbAAabDaAdBaBBbDdDdBbBbDdDdaddDDaAaDdAABbbBaaBBDdDcCdaADcCcCcCdBcCcBDCcCDdAbBbAAcCbbBbBDAaAadDcCdbBDcCAadBcCAabbBDcCAadDcCdbBBdDaacCADcCdDcCdaBbcCAAAadDdDdDbBcCcCAaAaBbcCdDcCaacCBbBbBbAAbDcCdbBBaAcCbDdDcCdbBDcCAadbBbBDAacCcCAadBbBBDdbdDAaBbBDdbbbBBdDBDAcAadDAC



Yeah that is quite a long path, is it not? ^_^

It seems that, on average, our ignorant Maze Runner will take about 10^5 moves to get to the flag, roughly ten times more than the number of tiles in the maze. Here is a rough 10-log distribution of the number of moves our Maze Runner will take.

At long last, collapsing everything we discussed into a single solve script, we end up with the following.

#!/usr/bin/env python3
#
# Polymero
#

# Imports
from pwn import *

# Server connection
host = "chal.imaginaryctf.org"
port = 42017
s = remote(host, port)

# Get rid of the initial lines
print(s.recvline())
print(s.recvline())
print(s.recvline())

# Time to read the maze from the server output!
MAZE = []
for i in range(10):
ILST = []
for j in range(10):
JLST = []
for k in range(10):
JLST += [list(s.recvuntil('\n',drop=True).decode())]
s.recvline()
ILST += [JLST]
s.recvline()
MAZE += [ILST]
s.recv()

def mazeloc(a,b,c,d):
""" Returns the maze tile at a given coordinate. """
return MAZE[a][b][c][d]

def getmoves(loc, mode=None):
""" Returns a list of valid moves from a given location within the maze. """
pos_moves = []
for dim in range(4):
new_loc = loc[::]
if loc[dim] < 9:
new_loc[dim] += 1
if mazeloc(*new_loc) != '#':
if mode == 'start':
pos_moves += [new_loc]
else:
pos_moves += [new_loc]
new_loc = loc[:]
if loc[dim] > 0:
new_loc[dim] -= 1
if mazeloc(*new_loc) != '#':
if mode == 'start':
pos_moves += [new_loc]
else:
pos_moves += [new_loc]
return pos_moves

def pathing(locs):
""" Returns the pathing code from the list of traversed locations. """
path_code = ''
for i in range(len(locs)-1):
dif = [locs[i+1][dim]-locs[i][dim] for dim in range(4)]
if dif[0]   == -1: path_code += 'a'
elif dif[0] ==  1: path_code += 'A'
elif dif[1] == -1: path_code += 'b'
elif dif[1] ==  1: path_code += 'B'
elif dif[2] == -1: path_code += 'c'
elif dif[2] ==  1: path_code += 'C'
elif dif[3] == -1: path_code += 'd'
elif dif[3] ==  1: path_code += 'D'
return path_code

def run():
""" Returns a brute-forced solution from '@' to 'F'. """
step = 0
locs = [[0,0,0,0]]

while step < int(1e8):

loc = locs[-1]

pos = getmoves(loc, 'start')

if not pos:
loc = [0,0,0,0]
pos = getmoves(loc, 'start')

loc = random.choice(pos)

if loc == [9,9,9,9]:
print('Gottem!')
locs.append(loc)
return(pathing(locs))

locs.append(loc)

if step % 100000 == 0:
print(loc)

step += 1

# Get solution and send it to the server
solution = run()
print(solution)

s.sendline( solution )

print(s.recv())
print(s.recv())
print(s.recv())
print(s.recv())

s.close()


Which neatly returns our flag for us :3.

Ta-da!

ictf{I_bet_youre_expecting_a_pun_like_aMAZEing_here_but_Im_a_better_person_than_that}