/
pyqrcode.py
1085 lines (847 loc) · 26.4 KB
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pyqrcode.py
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#
# pyqrcode.py
#
# David Janes
# Discover Anywhere Mobile
# 2010-11-25
#
# This is a fork of QRCode for Python
#
# qrcode = pyqrcode.QRCode.Make(URL)
# image = qrcode.make_image()
#
#
import math
from PIL import Image, ImageDraw
#QRCode for Python
#
#Ported from the Javascript library by Sam Curren
#
#QRCode for Javascript
#http://d-project.googlecode.com/svn/trunk/misc/qrcode/js/qrcode.js
#
#Copyright (c) 2009 Kazuhiko Arase
#
#URL: http://www.d-project.com/
#
#Licensed under the MIT license:
# http://www.opensource.org/licenses/mit-license.php
#
# The word "QR Code" is registered trademark of
# DENSO WAVE INCORPORATED
# http://www.denso-wave.com/qrcode/faqpatent-e.html
class QRMode:
MODE_NUMBER = 1 << 0
MODE_ALPHA_NUM = 1 << 1
MODE_8BIT_BYTE = 1 << 2
MODE_KANJI = 1 << 3
class QRErrorCorrectLevel:
L = 1
M = 0
Q = 3
H = 2
class CodeLengthOverflowError(Exception):
def __init__(self, bits, maxbits):
self.bits = bits
self.maxbits = maxbits
def __str__(self):
return "CodeLengthOverflowError(bits=%d,maxbits=%d)" % ( self.bits, self.maxbits, )
class QR8bitByte:
def __init__(self, data):
self.mode = QRMode.MODE_8BIT_BYTE
self.data = data
def getLength(self):
return len(self.data)
def write(self, buffer):
for i in range(len(self.data)):
#// not JIS ...
buffer.put(ord(self.data[i]), 8)
def __repr__(self):
return self.data
VERBOSE = False
def MakeQR(data, minTypeNumber = 0, errorCorrectLevel = QRErrorCorrectLevel.Q, verbose = False):
"""This tries to produce a reasonable QR Code"""
#
# Try and guess the level ... this is only written for Q
# so probably overestimates
#
if minTypeNumber == 0:
bits_needed = ( len(data) + 1 ) * 8
minTypeNumber = ( bits_needed + 50 ) / 100
minTypeNumber = int(minTypeNumber)
for x in xrange(0, 50):
try:
qr = QRCode(minTypeNumber + x, errorCorrectLevel)
qr.addData(data)
qr.make()
return qr
except CodeLengthOverflowError, x:
if VERBOSE:
print >> sys.stderr, "QRCode.Make - bad guess - trying again", x
continue
def MakeQRImage(data, minTypeNumber = 0, errorCorrectLevel = QRErrorCorrectLevel.Q, **ad):
"""This tries to produce a reasonable QR Code ... and returns the image"""
qr = MakeQR(data, minTypeNumber, errorCorrectLevel)
qr_image = qr.make_image(**ad)
return qr_image
class QRCode(object):
def __init__(self, typeNumber, errorCorrectLevel):
self.typeNumber = typeNumber
self.errorCorrectLevel = errorCorrectLevel
self.modules = None
self.moduleCount = 0
self.dataCache = None
self.dataList = []
def addData(self, data):
newData = QR8bitByte(data)
self.dataList.append(newData)
self.dataCache = None
def isDark(self, row, col):
if (row < 0 or self.moduleCount <= row or col < 0 or self.moduleCount <= col):
return False
return self.modules[row][col]
def getModuleCount(self):
return self.moduleCount
def make(self):
self.makeImpl(False, self.getBestMaskPattern() )
def makeImpl(self, test, maskPattern):
self.moduleCount = self.typeNumber * 4 + 17
self.modules = [None for x in range(self.moduleCount)]
for row in range(self.moduleCount):
self.modules[row] = [None for x in range(self.moduleCount)]
for col in range(self.moduleCount):
self.modules[row][col] = None #//(col + row) % 3;
self.setupPositionProbePattern(0, 0)
self.setupPositionProbePattern(self.moduleCount - 7, 0)
self.setupPositionProbePattern(0, self.moduleCount - 7)
self.setupPositionAdjustPattern()
self.setupTimingPattern()
self.setupTypeInfo(test, maskPattern)
if (self.typeNumber >= 7):
self.setupTypeNumber(test)
if (self.dataCache == None):
self.dataCache = QRCode.createData(self.typeNumber, self.errorCorrectLevel, self.dataList)
self.mapData(self.dataCache, maskPattern)
def setupPositionProbePattern(self, row, col):
for r in range(-1, 8):
if (row + r <= -1 or self.moduleCount <= row + r): continue
for c in range(-1, 8):
if (col + c <= -1 or self.moduleCount <= col + c): continue
if ( (0 <= r and r <= 6 and (c == 0 or c == 6) )
or (0 <= c and c <= 6 and (r == 0 or r == 6) )
or (2 <= r and r <= 4 and 2 <= c and c <= 4) ):
self.modules[row + r][col + c] = True;
else:
self.modules[row + r][col + c] = False;
def getBestMaskPattern(self):
minLostPoint = 0
pattern = 0
for i in range(8):
self.makeImpl(True, i);
lostPoint = QRUtil.getLostPoint(self);
if (i == 0 or minLostPoint > lostPoint):
minLostPoint = lostPoint
pattern = i
return pattern
def createMovieClip(self):
raise Exception("Method not relevant to Python port")
def make_image(self,
mode = "RGBA", bg = "white", fg = "black", block_in_pixels = 10, border_in_blocks = 4, rounding = 0,
tl = True, bl = True, br = True, tr = True,
):
"""
tl (etc) allow corners not to be rounded if 'rounding' is used
"""
## http://nadiana.com/pil-tutorial-basic-advanced-drawing
def round_corner(radius, fg, bg):
"""Draw a round corner"""
corner = Image.new('RGBA', (radius, radius), bg)
draw = ImageDraw.Draw(corner)
draw.pieslice((0, 0, radius * 2, radius * 2), 180, 270, fill=fg)
return corner
def round_rectangle(size, radius, fg, bg, tl = True, bl = True, br = True, tr = True):
"""Draw a rounded rectangle"""
width, height = size
corner = round_corner(radius, fg, bg)
rectangle = Image.new('RGBA', size, fg)
if tl: rectangle.paste(corner, (0, 0))
if bl: rectangle.paste(corner.rotate(90), (0, height - radius)) # Rotate the corner and paste it
if br: rectangle.paste(corner.rotate(180), (width - radius, height - radius))
if tr: rectangle.paste(corner.rotate(270), (width - radius, 0))
return rectangle
#block_in_pixels = 10 #pixels per box
#border_in_blocks = 4 #boxes as border
pixelsize = (self.getModuleCount() + border_in_blocks + border_in_blocks) * block_in_pixels
im = Image.new(mode, (pixelsize, pixelsize), bg)
d = ImageDraw.Draw(im)
rr = None
if rounding > 0:
rr = round_rectangle(( block_in_pixels, block_in_pixels, ), rounding, fg, bg)
for r in range(self.getModuleCount()):
for c in range(self.getModuleCount()):
if not self.isDark(r, c):
continue
x = (c + border_in_blocks) * block_in_pixels
y = (r + border_in_blocks) * block_in_pixels
b = [(x,y),(x+block_in_pixels,y+block_in_pixels)]
if round > 0:
rr = round_rectangle(
( block_in_pixels, block_in_pixels, ),
rounding,
fg, bg,
tl = not ( self.isDark(r - 1, c) or self.isDark(r, c - 1) ) and tl,
bl = not ( self.isDark(r, c - 1) or self.isDark(r + 1, c) ) and bl,
tr = not ( self.isDark(r - 1, c) or self.isDark(r, c + 1) ) and tr,
br = not ( self.isDark(r + 1, c) or self.isDark(r, c + 1) ) and br,
)
im.paste(rr, (x, y))
pass
else:
d.rectangle(b,fill=fg)
del d
return im
def setupTimingPattern(self):
for r in range(8, self.moduleCount - 8):
if (self.modules[r][6] != None):
continue
self.modules[r][6] = (r % 2 == 0)
for c in range(8, self.moduleCount - 8):
if (self.modules[6][c] != None):
continue
self.modules[6][c] = (c % 2 == 0)
def setupPositionAdjustPattern(self):
pos = QRUtil.getPatternPosition(self.typeNumber)
for i in range(len(pos)):
for j in range(len(pos)):
row = pos[i]
col = pos[j]
if (self.modules[row][col] != None):
continue
for r in range(-2, 3):
for c in range(-2, 3):
if (r == -2 or r == 2 or c == -2 or c == 2 or (r == 0 and c == 0) ):
self.modules[row + r][col + c] = True
else:
self.modules[row + r][col + c] = False
def setupTypeNumber(self, test):
bits = QRUtil.getBCHTypeNumber(self.typeNumber)
for i in range(18):
mod = (not test and ( (bits >> i) & 1) == 1)
self.modules[i // 3][i % 3 + self.moduleCount - 8 - 3] = mod;
for i in range(18):
mod = (not test and ( (bits >> i) & 1) == 1)
self.modules[i % 3 + self.moduleCount - 8 - 3][i // 3] = mod;
def setupTypeInfo(self, test, maskPattern):
data = (self.errorCorrectLevel << 3) | maskPattern
bits = QRUtil.getBCHTypeInfo(data)
#// vertical
for i in range(15):
mod = (not test and ( (bits >> i) & 1) == 1)
if (i < 6):
self.modules[i][8] = mod
elif (i < 8):
self.modules[i + 1][8] = mod
else:
self.modules[self.moduleCount - 15 + i][8] = mod
#// horizontal
for i in range(15):
mod = (not test and ( (bits >> i) & 1) == 1);
if (i < 8):
self.modules[8][self.moduleCount - i - 1] = mod
elif (i < 9):
self.modules[8][15 - i - 1 + 1] = mod
else:
self.modules[8][15 - i - 1] = mod
#// fixed module
self.modules[self.moduleCount - 8][8] = (not test)
def mapData(self, data, maskPattern):
inc = -1
row = self.moduleCount - 1
bitIndex = 7
byteIndex = 0
for col in range(self.moduleCount - 1, 0, -2):
if (col == 6): col-=1
while (True):
for c in range(2):
if (self.modules[row][col - c] == None):
dark = False
if (byteIndex < len(data)):
dark = ( ( (data[byteIndex] >> bitIndex) & 1) == 1)
mask = QRUtil.getMask(maskPattern, row, col - c)
if (mask):
dark = not dark
self.modules[row][col - c] = dark
bitIndex-=1
if (bitIndex == -1):
byteIndex+=1
bitIndex = 7
row += inc
if (row < 0 or self.moduleCount <= row):
row -= inc
inc = -inc
break
PAD0 = 0xEC
PAD1 = 0x11
@staticmethod
def createData(typeNumber, errorCorrectLevel, dataList):
rsBlocks = QRRSBlock.getRSBlocks(typeNumber, errorCorrectLevel)
buffer = QRBitBuffer();
for i in range(len(dataList)):
data = dataList[i]
buffer.put(data.mode, 4)
buffer.put(data.getLength(), QRUtil.getLengthInBits(data.mode, typeNumber) )
data.write(buffer)
#// calc num max data.
totalDataCount = 0;
for i in range(len(rsBlocks)):
totalDataCount += rsBlocks[i].dataCount
if (buffer.getLengthInBits() > totalDataCount * 8):
raise CodeLengthOverflowError(bits = buffer.getLengthInBits(), maxbits = totalDataCount * 8)
#// end code
if (buffer.getLengthInBits() + 4 <= totalDataCount * 8):
buffer.put(0, 4)
#// padding
while (buffer.getLengthInBits() % 8 != 0):
buffer.putBit(False)
#// padding
while (True):
if (buffer.getLengthInBits() >= totalDataCount * 8):
break
buffer.put(QRCode.PAD0, 8)
if (buffer.getLengthInBits() >= totalDataCount * 8):
break
buffer.put(QRCode.PAD1, 8)
return QRCode.createBytes(buffer, rsBlocks)
@staticmethod
def createBytes(buffer, rsBlocks):
offset = 0
maxDcCount = 0
maxEcCount = 0
dcdata = [0 for x in range(len(rsBlocks))]
ecdata = [0 for x in range(len(rsBlocks))]
for r in range(len(rsBlocks)):
dcCount = rsBlocks[r].dataCount
ecCount = rsBlocks[r].totalCount - dcCount
maxDcCount = max(maxDcCount, dcCount)
maxEcCount = max(maxEcCount, ecCount)
dcdata[r] = [0 for x in range(dcCount)]
for i in range(len(dcdata[r])):
dcdata[r][i] = 0xff & buffer.buffer[i + offset]
offset += dcCount
rsPoly = QRUtil.getErrorCorrectPolynomial(ecCount)
rawPoly = QRPolynomial(dcdata[r], rsPoly.getLength() - 1)
modPoly = rawPoly.mod(rsPoly)
ecdata[r] = [0 for x in range(rsPoly.getLength()-1)]
for i in range(len(ecdata[r])):
modIndex = i + modPoly.getLength() - len(ecdata[r])
if (modIndex >= 0):
ecdata[r][i] = modPoly.get(modIndex)
else:
ecdata[r][i] = 0
totalCodeCount = 0
for i in range(len(rsBlocks)):
totalCodeCount += rsBlocks[i].totalCount
data = [None for x in range(totalCodeCount)]
index = 0
for i in range(maxDcCount):
for r in range(len(rsBlocks)):
if (i < len(dcdata[r])):
data[index] = dcdata[r][i]
index+=1
for i in range(maxEcCount):
for r in range(len(rsBlocks)):
if (i < len(ecdata[r])):
data[index] = ecdata[r][i]
index+=1
return data
class QRMaskPattern:
PATTERN000 = 0
PATTERN001 = 1
PATTERN010 = 2
PATTERN011 = 3
PATTERN100 = 4
PATTERN101 = 5
PATTERN110 = 6
PATTERN111 = 7
class QRUtil(object):
PATTERN_POSITION_TABLE = [
[],
[6, 18],
[6, 22],
[6, 26],
[6, 30],
[6, 34],
[6, 22, 38],
[6, 24, 42],
[6, 26, 46],
[6, 28, 50],
[6, 30, 54],
[6, 32, 58],
[6, 34, 62],
[6, 26, 46, 66],
[6, 26, 48, 70],
[6, 26, 50, 74],
[6, 30, 54, 78],
[6, 30, 56, 82],
[6, 30, 58, 86],
[6, 34, 62, 90],
[6, 28, 50, 72, 94],
[6, 26, 50, 74, 98],
[6, 30, 54, 78, 102],
[6, 28, 54, 80, 106],
[6, 32, 58, 84, 110],
[6, 30, 58, 86, 114],
[6, 34, 62, 90, 118],
[6, 26, 50, 74, 98, 122],
[6, 30, 54, 78, 102, 126],
[6, 26, 52, 78, 104, 130],
[6, 30, 56, 82, 108, 134],
[6, 34, 60, 86, 112, 138],
[6, 30, 58, 86, 114, 142],
[6, 34, 62, 90, 118, 146],
[6, 30, 54, 78, 102, 126, 150],
[6, 24, 50, 76, 102, 128, 154],
[6, 28, 54, 80, 106, 132, 158],
[6, 32, 58, 84, 110, 136, 162],
[6, 26, 54, 82, 110, 138, 166],
[6, 30, 58, 86, 114, 142, 170]
]
G15 = (1 << 10) | (1 << 8) | (1 << 5) | (1 << 4) | (1 << 2) | (1 << 1) | (1 << 0)
G18 = (1 << 12) | (1 << 11) | (1 << 10) | (1 << 9) | (1 << 8) | (1 << 5) | (1 << 2) | (1 << 0)
G15_MASK = (1 << 14) | (1 << 12) | (1 << 10) | (1 << 4) | (1 << 1)
@staticmethod
def getBCHTypeInfo(data):
d = data << 10;
while (QRUtil.getBCHDigit(d) - QRUtil.getBCHDigit(QRUtil.G15) >= 0):
d ^= (QRUtil.G15 << (QRUtil.getBCHDigit(d) - QRUtil.getBCHDigit(QRUtil.G15) ) )
return ( (data << 10) | d) ^ QRUtil.G15_MASK
@staticmethod
def getBCHTypeNumber(data):
d = data << 12;
while (QRUtil.getBCHDigit(d) - QRUtil.getBCHDigit(QRUtil.G18) >= 0):
d ^= (QRUtil.G18 << (QRUtil.getBCHDigit(d) - QRUtil.getBCHDigit(QRUtil.G18) ) )
return (data << 12) | d
@staticmethod
def getBCHDigit(data):
digit = 0;
while (data != 0):
digit += 1
data >>= 1
return digit
@staticmethod
def getPatternPosition(typeNumber):
return QRUtil.PATTERN_POSITION_TABLE[typeNumber - 1]
@staticmethod
def getMask(maskPattern, i, j):
if maskPattern == QRMaskPattern.PATTERN000 : return (i + j) % 2 == 0
if maskPattern == QRMaskPattern.PATTERN001 : return i % 2 == 0
if maskPattern == QRMaskPattern.PATTERN010 : return j % 3 == 0
if maskPattern == QRMaskPattern.PATTERN011 : return (i + j) % 3 == 0
if maskPattern == QRMaskPattern.PATTERN100 : return (math.floor(i / 2) + math.floor(j / 3) ) % 2 == 0
if maskPattern == QRMaskPattern.PATTERN101 : return (i * j) % 2 + (i * j) % 3 == 0
if maskPattern == QRMaskPattern.PATTERN110 : return ( (i * j) % 2 + (i * j) % 3) % 2 == 0
if maskPattern == QRMaskPattern.PATTERN111 : return ( (i * j) % 3 + (i + j) % 2) % 2 == 0
raise Exception("bad maskPattern:" + maskPattern);
@staticmethod
def getErrorCorrectPolynomial(errorCorrectLength):
a = QRPolynomial([1], 0);
for i in range(errorCorrectLength):
a = a.multiply(QRPolynomial([1, QRMath.gexp(i)], 0) )
return a
@staticmethod
def getLengthInBits(mode, type):
if 1 <= type and type < 10:
#// 1 - 9
if mode == QRMode.MODE_NUMBER : return 10
if mode == QRMode.MODE_ALPHA_NUM : return 9
if mode == QRMode.MODE_8BIT_BYTE : return 8
if mode == QRMode.MODE_KANJI : return 8
raise Exception("mode:" + mode)
elif (type < 27):
#// 10 - 26
if mode == QRMode.MODE_NUMBER : return 12
if mode == QRMode.MODE_ALPHA_NUM : return 11
if mode == QRMode.MODE_8BIT_BYTE : return 16
if mode == QRMode.MODE_KANJI : return 10
raise Exception("mode:" + mode)
elif (type < 41):
#// 27 - 40
if mode == QRMode.MODE_NUMBER : return 14
if mode == QRMode.MODE_ALPHA_NUM : return 13
if mode == QRMode.MODE_8BIT_BYTE : return 16
if mode == QRMode.MODE_KANJI : return 12
raise Exception("mode:" + mode)
else:
raise Exception("type:" + type)
@staticmethod
def getLostPoint(qrCode):
moduleCount = qrCode.getModuleCount();
lostPoint = 0;
#// LEVEL1
for row in range(moduleCount):
for col in range(moduleCount):
sameCount = 0;
dark = qrCode.isDark(row, col);
for r in range(-1, 2):
if (row + r < 0 or moduleCount <= row + r):
continue
for c in range(-1, 2):
if (col + c < 0 or moduleCount <= col + c):
continue
if (r == 0 and c == 0):
continue
if (dark == qrCode.isDark(row + r, col + c) ):
sameCount+=1
if (sameCount > 5):
lostPoint += (3 + sameCount - 5)
#// LEVEL2
for row in range(moduleCount - 1):
for col in range(moduleCount - 1):
count = 0;
if (qrCode.isDark(row, col ) ): count+=1
if (qrCode.isDark(row + 1, col ) ): count+=1
if (qrCode.isDark(row, col + 1) ): count+=1
if (qrCode.isDark(row + 1, col + 1) ): count+=1
if (count == 0 or count == 4):
lostPoint += 3
#// LEVEL3
for row in range(moduleCount):
for col in range(moduleCount - 6):
if (qrCode.isDark(row, col)
and not qrCode.isDark(row, col + 1)
and qrCode.isDark(row, col + 2)
and qrCode.isDark(row, col + 3)
and qrCode.isDark(row, col + 4)
and not qrCode.isDark(row, col + 5)
and qrCode.isDark(row, col + 6) ):
lostPoint += 40
for col in range(moduleCount):
for row in range(moduleCount - 6):
if (qrCode.isDark(row, col)
and not qrCode.isDark(row + 1, col)
and qrCode.isDark(row + 2, col)
and qrCode.isDark(row + 3, col)
and qrCode.isDark(row + 4, col)
and not qrCode.isDark(row + 5, col)
and qrCode.isDark(row + 6, col) ):
lostPoint += 40
#// LEVEL4
darkCount = 0;
for col in range(moduleCount):
for row in range(moduleCount):
if (qrCode.isDark(row, col) ):
darkCount+=1
ratio = abs(100 * darkCount / moduleCount / moduleCount - 50) / 5
lostPoint += ratio * 10
return lostPoint
class QRMath:
@staticmethod
def glog(n):
if (n < 1):
raise Exception("glog(" + n + ")")
return LOG_TABLE[n];
@staticmethod
def gexp(n):
while n < 0:
n += 255
while n >= 256:
n -= 255
return EXP_TABLE[n];
EXP_TABLE = [x for x in range(256)]
LOG_TABLE = [x for x in range(256)]
for i in range(8):
EXP_TABLE[i] = 1 << i;
for i in range(8, 256):
EXP_TABLE[i] = EXP_TABLE[i - 4] ^ EXP_TABLE[i - 5] ^ EXP_TABLE[i - 6] ^ EXP_TABLE[i - 8]
for i in range(255):
LOG_TABLE[EXP_TABLE[i] ] = i
class QRPolynomial:
def __init__(self, num, shift):
if (len(num) == 0):
raise Exception(num.length + "/" + shift)
offset = 0
while offset < len(num) and num[offset] == 0:
offset += 1
self.num = [0 for x in range(len(num)-offset+shift)]
for i in range(len(num) - offset):
self.num[i] = num[i + offset]
def get(self, index):
return self.num[index]
def getLength(self):
return len(self.num)
def multiply(self, e):
num = [0 for x in range(self.getLength() + e.getLength() - 1)];
for i in range(self.getLength()):
for j in range(e.getLength()):
num[i + j] ^= QRMath.gexp(QRMath.glog(self.get(i) ) + QRMath.glog(e.get(j) ) )
return QRPolynomial(num, 0);
def mod(self, e):
if (self.getLength() - e.getLength() < 0):
return self;
ratio = QRMath.glog(self.get(0) ) - QRMath.glog(e.get(0) )
num = [0 for x in range(self.getLength())]
for i in range(self.getLength()):
num[i] = self.get(i);
for i in range(e.getLength()):
num[i] ^= QRMath.gexp(QRMath.glog(e.get(i) ) + ratio)
# recursive call
return QRPolynomial(num, 0).mod(e);
class QRRSBlock:
RS_BLOCK_TABLE = [
#// L
#// M
#// Q
#// H
#// 1
[1, 26, 19],
[1, 26, 16],
[1, 26, 13],
[1, 26, 9],
#// 2
[1, 44, 34],
[1, 44, 28],
[1, 44, 22],
[1, 44, 16],
#// 3
[1, 70, 55],
[1, 70, 44],
[2, 35, 17],
[2, 35, 13],
#// 4
[1, 100, 80],
[2, 50, 32],
[2, 50, 24],
[4, 25, 9],
#// 5
[1, 134, 108],
[2, 67, 43],
[2, 33, 15, 2, 34, 16],
[2, 33, 11, 2, 34, 12],
#// 6
[2, 86, 68],
[4, 43, 27],
[4, 43, 19],
[4, 43, 15],
#// 7
[2, 98, 78],
[4, 49, 31],
[2, 32, 14, 4, 33, 15],
[4, 39, 13, 1, 40, 14],
#// 8
[2, 121, 97],
[2, 60, 38, 2, 61, 39],
[4, 40, 18, 2, 41, 19],
[4, 40, 14, 2, 41, 15],
#// 9
[2, 146, 116],
[3, 58, 36, 2, 59, 37],
[4, 36, 16, 4, 37, 17],
[4, 36, 12, 4, 37, 13],
#// 10
[2, 86, 68, 2, 87, 69],
[4, 69, 43, 1, 70, 44],
[6, 43, 19, 2, 44, 20],
[6, 43, 15, 2, 44, 16],
# 11
[4, 101, 81],
[1, 80, 50, 4, 81, 51],
[4, 50, 22, 4, 51, 23],
[3, 36, 12, 8, 37, 13],
# 12
[2, 116, 92, 2, 117, 93],
[6, 58, 36, 2, 59, 37],
[4, 46, 20, 6, 47, 21],
[7, 42, 14, 4, 43, 15],
# 13
[4, 133, 107],
[8, 59, 37, 1, 60, 38],
[8, 44, 20, 4, 45, 21],
[12, 33, 11, 4, 34, 12],
# 14
[3, 145, 115, 1, 146, 116],
[4, 64, 40, 5, 65, 41],
[11, 36, 16, 5, 37, 17],
[11, 36, 12, 5, 37, 13],
# 15
[5, 109, 87, 1, 110, 88],
[5, 65, 41, 5, 66, 42],
[5, 54, 24, 7, 55, 25],
[11, 36, 12],
# 16
[5, 122, 98, 1, 123, 99],
[7, 73, 45, 3, 74, 46],
[15, 43, 19, 2, 44, 20],
[3, 45, 15, 13, 46, 16],
# 17
[1, 135, 107, 5, 136, 108],
[10, 74, 46, 1, 75, 47],
[1, 50, 22, 15, 51, 23],
[2, 42, 14, 17, 43, 15],
# 18
[5, 150, 120, 1, 151, 121],
[9, 69, 43, 4, 70, 44],
[17, 50, 22, 1, 51, 23],
[2, 42, 14, 19, 43, 15],
# 19
[3, 141, 113, 4, 142, 114],
[3, 70, 44, 11, 71, 45],
[17, 47, 21, 4, 48, 22],
[9, 39, 13, 16, 40, 14],
# 20
[3, 135, 107, 5, 136, 108],
[3, 67, 41, 13, 68, 42],
[15, 54, 24, 5, 55, 25],
[15, 43, 15, 10, 44, 16],
# 21
[4, 144, 116, 4, 145, 117],
[17, 68, 42],
[17, 50, 22, 6, 51, 23],
[19, 46, 16, 6, 47, 17],
# 22
[2, 139, 111, 7, 140, 112],
[17, 74, 46],
[7, 54, 24, 16, 55, 25],
[34, 37, 13],
# 23
[4, 151, 121, 5, 152, 122],
[4, 75, 47, 14, 76, 48],
[11, 54, 24, 14, 55, 25],
[16, 45, 15, 14, 46, 16],
# 24
[6, 147, 117, 4, 148, 118],
[6, 73, 45, 14, 74, 46],
[11, 54, 24, 16, 55, 25],
[30, 46, 16, 2, 47, 17],
# 25
[8, 132, 106, 4, 133, 107],
[8, 75, 47, 13, 76, 48],
[7, 54, 24, 22, 55, 25],
[22, 45, 15, 13, 46, 16],
# 26
[10, 142, 114, 2, 143, 115],
[19, 74, 46, 4, 75, 47],
[28, 50, 22, 6, 51, 23],
[33, 46, 16, 4, 47, 17],
# 27
[8, 152, 122, 4, 153, 123],
[22, 73, 45, 3, 74, 46],
[8, 53, 23, 26, 54, 24],
[12, 45, 15, 28, 46, 16],
# 28
[3, 147, 117, 10, 148, 118],
[3, 73, 45, 23, 74, 46],
[4, 54, 24, 31, 55, 25],
[11, 45, 15, 31, 46, 16],
# 29
[7, 146, 116, 7, 147, 117],
[21, 73, 45, 7, 74, 46],
[1, 53, 23, 37, 54, 24],
[19, 45, 15, 26, 46, 16],
# 30
[5, 145, 115, 10, 146, 116],
[19, 75, 47, 10, 76, 48],
[15, 54, 24, 25, 55, 25],
[23, 45, 15, 25, 46, 16],
# 31
[13, 145, 115, 3, 146, 116],
[2, 74, 46, 29, 75, 47],
[42, 54, 24, 1, 55, 25],
[23, 45, 15, 28, 46, 16],
# 32
[17, 145, 115],
[10, 74, 46, 23, 75, 47],
[10, 54, 24, 35, 55, 25],
[19, 45, 15, 35, 46, 16],
# 33
[17, 145, 115, 1, 146, 116],
[14, 74, 46, 21, 75, 47],
[29, 54, 24, 19, 55, 25],
[11, 45, 15, 46, 46, 16],
# 34
[13, 145, 115, 6, 146, 116],
[14, 74, 46, 23, 75, 47],
[44, 54, 24, 7, 55, 25],
[59, 46, 16, 1, 47, 17],
# 35
[12, 151, 121, 7, 152, 122],
[12, 75, 47, 26, 76, 48],
[39, 54, 24, 14, 55, 25],
[22, 45, 15, 41, 46, 16],
# 36
[6, 151, 121, 14, 152, 122],
[6, 75, 47, 34, 76, 48],
[46, 54, 24, 10, 55, 25],
[2, 45, 15, 64, 46, 16],
# 37
[17, 152, 122, 4, 153, 123],