pychess.Utils.eval
index
/home/thomas/Programmering/python/skak/svn/lib/pychess/Utils/eval.py

 
Functions
       
analyzePawnStructure(board)
Look at pawn positions to be able to detect features such as doubled,
isolated or passed pawns
evalBadBishops(board)
Bishops may be limited in their movement
if there are too many pawns on squares of their color
evalCastling(board)
Used to encourage castling
evalDevelopment(board)
Mostly useful in the opening, this term encourages the machine to move
its bishops and knights into play, to control the center with its queen's
and king's pawns
evalKingTropism(board)
All other things being equal, having your Knights, Queens and Rooks close
to the opponent's king is a good thing
evalMaterial(board)
evalPawnStructure(board)
Given the pawn formations, penalize or bonify the position according to
the features it contains
evalRookBonus(board)
Rooks are more effective on the seventh rank and on open files
evaluateComplete(board, color=0)
A detailed evaluation function, taking into account
several positional factors

 
Data
        AN = 3
ARTIFICIAL = 1
BISHOP = 3
BLACK = 1
BLACKWON = 3
BLACK_CASTLED = 32
BLACK_OO = 4
BLACK_OOO = 8
DRAW = 1
DRAW_50MOVES = 1
DRAW_ACCEPTION = 3
DRAW_AGREE = 3
DRAW_INSUFFICIENT = 4
DRAW_OFFER = 2
DRAW_REPITITION = 0
DRAW_STALEMATE = 2
FAN = 2
FLAG_CALL = 1
HINT = 0
KING = 0
KNIGHT = 4
LAN = 1
LOCAL = 0
NAME = 'PyChess'
PAWN = 5
PREFIX = '/home/thomas/Programmering/python/skak/svn'
QUEEN = 1
REMOTE = 2
RESIGNATION = 0
ROOK = 2
RUNNING = 0
SAN = 0
SPY = 1
VERSION = '0.6.0_beta'
WHITE = 0
WHITEWON = 2
WHITE_CASTLED = 16
WHITE_OO = 1
WHITE_OOO = 2
WON_CALLFLAG = 6
WON_MATE = 7
WON_RESIGN = 5
blackPawnFileBins = [0, 0, 0, 0, 0, 0, 0, 0]
chr2Sign = {'b': 3, 'k': 0, 'n': 4, 'p': 5, 'q': 1, 'r': 2}
dic = {1: 0, 2: 0, 4: -5}
endking = array('b', [-5, -3, -1, 0, 0, ...])
hashfALPHA = 0
hashfBETA = 1
hashfEXACT = 2
hashmap = {}
kx = 7
kxrow = [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}]
ky = 7
localePrefixes = ('/usr/share/locale', '/usr/local/share/locale')
pawnColorBins = [0, 0]
pawnRams = 0
pieceValues = [0, 900, 500, 350, 300, 100]
pos = {0: {0: array('h', [-100, 15, 15, -20, 10, ...]), 1: array('h', [-500, -500, -500, -500, -500, ...])}, 1: {0: array('b', [0, 0, 0, 5, 0, ...]), 1: array('b', [5, 5, 5, 10, 10, ...])}, 2: {0: array('b', [2, 2, 2, 2, 2, ...]), 1: array('b', [10, 15, 20, 25, 25, ...])}, 3: {0: array('b', [-5, -5, -10, -5, -5, ...]), 1: array('b', [-5, -5, -10, -5, -5, ...])}, 4: {0: array('b', [-20, -35, -10, -10, -10, ...]), 1: array('b', [-20, -10, -10, -10, -10, ...])}, 5: {0: array('b', [0, 0, 0, 0, 0, ...]), 1: array('b', [0, 0, 0, 0, 0, ...])}}
prefixes = ('/usr/share', '/usr/local/share', '/usr/share/games', '/usr/local/share/games')
px = 7
pxrow = [[[{1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}, {1: 5, 2: 10, 4: 7}, {1: 6, 2: 12, 4: 8}, {1: 7, 2: 14, 4: 9}], [{1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}, {1: 6, 2: 12, 4: 8}], [{1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 7}], [{1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 2}]], [[{1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}, {1: 5, 2: 10, 4: 7}, {1: 6, 2: 12, 4: 8}], [{1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}], [{1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}]], [[{1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}, {1: 5, 2: 10, 4: 7}], [{1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}], [{1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}]], [[{1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}]], [[{1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}]], [[{1: 5, 2: 10, 4: 7}, {1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}]], [[{1: 6, 2: 12, 4: 8}, {1: 5, 2: 10, 4: 7}, {1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}]], [[{1: 7, 2: 14, 4: 9}, {1: 6, 2: 12, 4: 8}, {1: 5, 2: 10, 4: 7}, {1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}], [{1: 6, 2: 12, 4: 8}, {1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}], [{1: 5, 2: 10, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}], [{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}]]]
py = 7
pyrow = [[{1: 7, 2: 14, 4: 9}, {1: 6, 2: 12, 4: 8}, {1: 5, 2: 10, 4: 7}, {1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}], [{1: 6, 2: 12, 4: 8}, {1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}], [{1: 5, 2: 10, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}], [{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}]]
reprColor = ['White', 'Black']
reprMode = ['hint', 'spy']
reprPiece = ['King', 'Queen', 'Rook', 'Bishop', 'Knight', 'Pawn']
reprResult = ['*', '1/2-1/2', '1-0', '0-1']
reprSign = ['K', 'Q', 'R', 'B', 'N', 'P']
tropismTable = [[[[{1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 7}], [{1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}, {1: 6, 2: 12, 4: 8}], [{1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}, {1: 5, 2: 10, 4: 7}, {1: 6, 2: 12, 4: 8}, {1: 7, 2: 14, 4: 9}]], [[{1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}], [{1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}, {1: 5, 2: 10, 4: 7}, {1: 6, 2: 12, 4: 8}]], [[{1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}], [{1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}, {1: 5, 2: 10, 4: 7}]], [[{1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}], [{1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}]], [[{1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}]], [[{1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 5, 2: 10, 4: 7}, {1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}]], [[{1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 6, 2: 12, 4: 8}, {1: 5, 2: 10, 4: 7}, {1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}]], [[{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}], [{1: 5, 2: 10, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}], [{1: 6, 2: 12, 4: 8}, {1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}], [{1: 7, 2: 14, 4: 9}, {1: 6, 2: 12, 4: 8}, {1: 5, 2: 10, 4: 7}, {1: 4, 2: 8, 4: 6}, {1: 3, 2: 6, 4: 5}, {1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}]]], [[[{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 7}], [{1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}, {1: 6, 2: 12, 4: 8}]], [[{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}]], [[{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}], [{1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}]], [[{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}], [{1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}]], [[{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}]], [[{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}]], [[{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}]], [[{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}], [{1: 5, 2: 10, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}], [{1: 6, 2: 12, 4: 8}, {1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}]]], [[[{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 7}]], [[{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}]], [[{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}]], [[{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}], [{1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}]], [[{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}]], [[{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}]], [[{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}]], [[{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}], [{1: 5, 2: 10, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}]]], [[[{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 6}]], [[{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}]], [[{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}]], [[{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}]], [[{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}]], [[{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}]], [[{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}]], [[{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}]]], [[[{1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}]], [[{1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}]], [[{1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}]], [[{1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}]], [[{1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}]], [[{1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}]], [[{1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}]], [[{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}]]], [[[{1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 7}], [{1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}]], [[{1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}]], [[{1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}], [{1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}]], [[{1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}]], [[{1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}]], [[{1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}]], [[{1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}]], [[{1: 5, 2: 10, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}], [{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}]]], [[[{1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}, {1: 6, 2: 12, 4: 8}], [{1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 7}], [{1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}]], [[{1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}], [{1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}]], [[{1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}], [{1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}], [{1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}]], [[{1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}], [{1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}], [{1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}]], [[{1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}], [{1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}], [{1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}], [{1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}]], [[{1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}], [{1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}], [{1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}], [{1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}]], [[{1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}], [{1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}], [{1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}], [{1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}], [{1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}], [{1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}]], [[{1: 6, 2: 12, 4: 8}, {1: 6, 2: 12, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}], [{1: 5, 2: 10, 4: 7}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}], [{1: 4, 2: 8, 4: 6}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}], [{1: 3, 2: 6, 4: 5}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}], [{1: 2, 2: 4, 4: 4}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}], [{1: 0, 2: 0, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}], [{1: 1, 2: 2, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}]]], [[[{1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}, {1: 5, 2: 10, 4: 7}, {1: 6, 2: 12, 4: 8}, {1: 7, 2: 14, 4: 9}], [{1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}, {1: 6, 2: 12, 4: 8}], [{1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 5, 2: 10, 4: 7}], [{1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 4, 2: 8, 4: 6}], [{1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 3, 2: 6, 4: 5}], [{1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 2, 2: 4, 4: 4}], [{1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 1, 2: 2, 4: 3}], [{1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}, {1: 0, 2: 0, 4: 2}]], [[{1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}, {1: 5, 2: 10, 4: 7}, {1: 6, 2: 12, 4: 8}], [{1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}, {1: 6, 2: 12, 4: 7}], [{1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 4, 2: 8, 4: 5}], [{1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 3, 2: 6, 4: 4}], [{1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 2, 2: 4, 4: 3}], [{1: 1, 2: 2, 4: -3}, {1: 0, 2: 0, 4: -4}, {1: 1, 2: 2, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 1, 2: 2, 4: 2}], [{1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -5}, {1: 0, 2: 0, 4: -4}, {1: 0, 2: 0, 4: -3}, {1: 0, 2: 0, 4: -2}, {1: 0, 2: 0, 4: -1}, {1: 0, 2: 0, 4: 0}, {1: 0, 2: 0, 4: 1}]], [[{1: 2, 2: 4, 4: 4}, {1: 1, 2: 2, 4: 3}, {1: 0, 2: 0, 4: 2}, {1: 1, 2: 2, 4: 3}, {1: 2, 2: 4, 4: 4}, {1: 3, 2: 6, 4: 5}, {1: 4, 2: 8, 4: 6}, {1: 5, 2: 10, 4: 7}], [{1: 2, 2: 4, 4: 3}, {1: 1, 2: 2, 4: 2}, {1: 0, 2: 0, 4: 1}, {1: 1, 2: 2, 4: 2}, {1: 2, 2: 4, 4: 3}, {1: 3, 2: 6, 4: 4}, {1: 4, 2: 8, 4: 5}, {1: 5, 2: 10, 4: 6}], [{1: 2, 2: 4, 4: 2}, {1: 1, 2: 2, 4: 1}, {1: 0, 2: 0, 4: 0}, {1: 1, 2: 2, 4: 1}, {1: 2, 2: 4, 4: 2}, {1: 3, 2: 6, 4: 3}, {1: 4, 2: 8, 4: 4}, {1: 5, 2: 10, 4: 5}], [{1: 2, 2: 4, 4: 1}, {1: 1, 2: 2, 4: 0}, {1: 0, 2: 0, 4: -1}, {1: 1, 2: 2, 4: 0}, {1: 2, 2: 4, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 4, 2: 8, 4: 3}, {1: 4, 2: 8, 4: 4}], [{1: 2, 2: 4, 4: 0}, {1: 1, 2: 2, 4: -1}, {1: 0, 2: 0, 4: -2}, {1: 1, 2: 2, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 3, 2: 6, 4: 1}, {1: 3, 2: 6, 4: 2}, {1: 3, 2: 6, 4: 3}], [{1: 2, 2: 4, 4: -1}, {1: 1, 2: 2, 4: -2}, {1: 0, 2: 0, 4: -3}, {1: 1, 2: 2, 4: -2}, {1: 2, 2: 4, 4: -1}, {1: 2, 2: 4, 4: 0}, {1: 2, 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