pychess.Utils.eval | index /home/thomas/Programmering/python/skak/svn/lib/pychess/Utils/eval.py |
Functions | ||
|
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, 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}]]]] whitePawnFileBins = [0, 0, 0, 0, 0, 0, 0, 0] |