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fem_data.py
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fem_data.py
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import numpy as np
class Setup(object):
def __init__(self):
self.NumGL = None
self.NumNosEl = None
self.NumNos = None
self.Coord = None
self.NumElem = None
self.Incid = None
self.NumPropMat = None
self.PropMat = None
self.NumPropGeo = None
self.PropGeo = None
self.NumCCDirichlet = None
self.CCDirichlet = None
self.NumCCNewmann = None
self.CCNewmann = None
self.Fcorpo = None
def GetSetupLargeCase(setup):
# Numero de GL por no
setup.NumGL = 2
# Numero de nos do elemento
setup.NumNosEl = 3
setup.NumNos = 455
setup.Coord = np.array([
[4.0000000e+001, 0.0000000e+000],
[3.8000000e+001, 0.0000000e+000],
[4.0000000e+001, 2.0000000e+000],
[3.6000000e+001, 0.0000000e+000],
[3.7283235e+001, 1.7316509e+000],
[4.0000000e+001, 4.0000000e+000],
[3.8384202e+001, 3.2723653e+000],
[3.4000000e+001, 0.0000000e+000],
[3.5061637e+001, 1.7597298e+000],
[3.6361846e+001, 3.7748572e+000],
[4.0000000e+001, 6.0000000e+000],
[3.8258316e+001, 5.0078704e+000],
[3.2000000e+001, 0.0000000e+000],
[3.3000000e+001, 1.7320508e+000],
[3.4070581e+001, 3.5205074e+000],
[3.6537709e+001, 5.9966986e+000],
[3.4983944e+001, 5.1019165e+000],
[4.0000000e+001, 8.0000000e+000],
[3.8266344e+001, 7.0013117e+000],
[3.0000000e+001, 0.0000000e+000],
[3.1000000e+001, 1.7320508e+000],
[3.2000000e+001, 3.4641016e+000],
[3.3145738e+001, 5.2175195e+000],
[3.6535888e+001, 7.9997048e+000],
[3.4439846e+001, 6.8920061e+000],
[4.0000000e+001, 1.0000000e+001],
[3.8267682e+001, 9.0002186e+000],
[2.8000000e+001, 0.0000000e+000],
[2.9000000e+001, 1.7320508e+000],
[3.0000000e+001, 3.4641016e+000],
[3.1000000e+001, 5.1961524e+000],
[3.2153732e+001, 6.8375822e+000],
[3.6535845e+001, 9.9999933e+000],
[3.4743170e+001, 8.9819507e+000],
[3.3127140e+001, 8.2968771e+000],
[4.0000000e+001, 1.2000000e+001],
[3.8267905e+001, 1.1000036e+001],
[2.6000000e+001, 0.0000000e+000],
[2.7000000e+001, 1.7320508e+000],
[2.8000000e+001, 3.4641016e+000],
[2.9000000e+001, 5.1961524e+000],
[3.0037859e+001, 6.9469686e+000],
[3.1231097e+001, 8.7966472e+000],
[3.6535881e+001, 1.2000006e+001],
[3.4793723e+001, 1.0996992e+001],
[3.3032347e+001, 1.0049937e+001],
[4.0000000e+001, 1.4000000e+001],
[3.8267942e+001, 1.3000006e+001],
[2.4000000e+001, 0.0000000e+000],
[2.5000000e+001, 1.7320508e+000],
[2.6000000e+001, 3.4641016e+000],
[2.7000000e+001, 5.1961524e+000],
[2.8000000e+001, 6.9282032e+000],
[2.9044826e+001, 8.3773554e+000],
[2.9713233e+001, 9.8705404e+000],
[3.1224572e+001, 1.1109035e+001],
[3.6479488e+001, 1.4070583e+001],
[3.4397963e+001, 1.3137978e+001],
[3.3116759e+001, 1.1718142e+001],
[4.0000000e+001, 1.6000000e+001],
[3.8240269e+001, 1.5061638e+001],
[2.2000000e+001, 0.0000000e+000],
[2.3000000e+001, 1.7320508e+000],
[2.4000000e+001, 3.4641016e+000],
[2.5000000e+001, 5.1961524e+000],
[2.6000000e+001, 6.9282032e+000],
[2.7000000e+001, 8.3769228e+000],
[2.8017108e+001, 9.7676951e+000],
[2.9048562e+001, 1.1301969e+001],
[3.2132607e+001, 1.3178653e+001],
[3.0059197e+001, 1.3072426e+001],
[3.6225143e+001, 1.6361846e+001],
[3.4841257e+001, 1.4987152e+001],
[3.3101004e+001, 1.4826466e+001],
[4.0000000e+001, 1.8000000e+001],
[3.8268349e+001, 1.7283235e+001],
[2.0000000e+001, 0.0000000e+000],
[2.1000000e+001, 1.7320508e+000],
[2.2000000e+001, 3.4641017e+000],
[2.3000000e+001, 5.1961525e+000],
[2.4000000e+001, 6.9282033e+000],
[2.4999999e+001, 8.5294860e+000],
[2.6004572e+001, 9.9786045e+000],
[2.7009259e+001, 1.1334533e+001],
[2.8007604e+001, 1.3075217e+001],
[3.0997726e+001, 1.4808522e+001],
[2.8997695e+001, 1.4808686e+001],
[3.6727635e+001, 1.8384202e+001],
[3.4992130e+001, 1.8258316e+001],
[3.4002687e+001, 1.6538889e+001],
[3.1997913e+001, 1.6539588e+001],
[4.0000000e+001, 2.0000000e+001],
[3.8000000e+001, 2.0000000e+001],
[1.8000000e+001, 0.0000000e+000],
[1.9000000e+001, 1.7320509e+000],
[1.9999999e+001, 3.4641019e+000],
[2.0999999e+001, 5.1961529e+000],
[2.1999997e+001, 6.9282037e+000],
[2.2999996e+001, 8.6602551e+000],
[2.4000934e+001, 1.0106964e+001],
[2.5001063e+001, 1.1470685e+001],
[2.5999390e+001, 1.3074876e+001],
[2.6988735e+001, 1.4818904e+001],
[2.9988444e+001, 1.6560255e+001],
[2.7934714e+001, 1.6621398e+001],
[3.6000000e+001, 2.0000000e+001],
[3.4000000e+001, 2.0000000e+001],
[3.2997087e+001, 1.8269735e+001],
[3.0990393e+001, 1.8288299e+001],
[1.6000000e+001, 0.0000000e+000],
[1.6999998e+001, 1.7320514e+000],
[1.7999996e+001, 3.4641035e+000],
[1.8999993e+001, 5.1961548e+000],
[1.9999986e+001, 6.9282055e+000],
[2.0999981e+001, 8.6602601e+000],
[2.1999976e+001, 1.0663005e+001],
[2.3399941e+001, 1.1677481e+001],
[2.3997732e+001, 1.3074954e+001],
[2.4986999e+001, 1.4819711e+001],
[2.5933872e+001, 1.6612941e+001],
[2.8942360e+001, 1.8390048e+001],
[2.6679783e+001, 1.8629651e+001],
[3.2000000e+001, 2.0000000e+001],
[3.0000000e+001, 2.0000000e+001],
[1.4000000e+001, 0.0000000e+000],
[1.4999986e+001, 1.7320543e+000],
[1.5999976e+001, 3.4641121e+000],
[1.6999962e+001, 5.1961643e+000],
[1.7999922e+001, 6.9282138e+000],
[1.8999904e+001, 8.6602875e+000],
[1.9999854e+001, 1.0392318e+001],
[2.2398825e+001, 1.2859237e+001],
[2.0742584e+001, 1.2295881e+001],
[2.2995300e+001, 1.4811780e+001],
[2.3987069e+001, 1.6564472e+001],
[2.4839225e+001, 1.7975593e+001],
[2.8049097e+001, 2.0192147e+001],
[2.6173166e+001, 2.0761205e+001],
[2.4593860e+001, 1.9724412e+001],
[1.2000000e+001, 0.0000000e+000],
[1.2999917e+001, 1.7320715e+000],
[1.3999873e+001, 3.4641602e+000],
[1.4999802e+001, 5.1962114e+000],
[1.5999577e+001, 6.9282527e+000],
[1.6999516e+001, 8.6604418e+000],
[1.7999237e+001, 1.0392346e+001],
[1.8997956e+001, 1.2396475e+001],
[2.1058897e+001, 1.4392453e+001],
[2.0036097e+001, 1.3384581e+001],
[2.2018152e+001, 1.6540254e+001],
[2.3126540e+001, 1.8257576e+001],
[2.4444298e+001, 2.1685304e+001],
[2.2339087e+001, 2.0477129e+001],
[1.0000000e+001, 0.0000000e+000],
[1.0999504e+001, 1.7321751e+000],
[1.1999335e+001, 3.4644292e+000],
[1.2998964e+001, 5.1964371e+000],
[1.3997698e+001, 6.9284290e+000],
[1.4997597e+001, 8.6613204e+000],
[1.5996004e+001, 1.0392331e+001],
[1.6986600e+001, 1.2134254e+001],
[1.9344949e+001, 1.4453515e+001],
[1.7728637e+001, 1.4112246e+001],
[2.0012841e+001, 1.6468058e+001],
[2.1082770e+001, 1.8335161e+001],
[2.2928932e+001, 2.2928932e+001],
[2.0511916e+001, 2.2425470e+001],
[2.0217714e+001, 2.0159060e+001],
[8.0000000e+000, 0.0000000e+000],
[8.9970241e+000, 1.7327965e+000],
[9.9965889e+000, 3.4659221e+000],
[1.0994578e+001, 5.1974743e+000],
[1.1987422e+001, 6.9292141e+000],
[1.2988308e+001, 8.6663772e+000],
[1.3978910e+001, 1.0391205e+001],
[1.4924361e+001, 1.2183676e+001],
[1.5781491e+001, 1.3939983e+001],
[1.8260829e+001, 1.6160791e+001],
[1.6352726e+001, 1.5785342e+001],
[1.8671285e+001, 1.8598308e+001],
[2.1685304e+001, 2.4444298e+001],
[1.9774094e+001, 2.4644026e+001],
[1.8273046e+001, 2.3150230e+001],
[1.8483512e+001, 2.0959233e+001],
[6.0000000e+000, 0.0000000e+000],
[6.9821448e+000, 1.7365247e+000],
[7.9830052e+000, 3.4741548e+000],
[8.9715440e+000, 5.2019355e+000],
[9.9309891e+000, 6.9326618e+000],
[1.0944727e+001, 8.6957562e+000],
[1.1887557e+001, 1.0378516e+001],
[1.2571254e+001, 1.2481353e+001],
[1.3921575e+001, 1.3877106e+001],
[1.4409391e+001, 1.5705652e+001],
[1.6347552e+001, 1.7793380e+001],
[1.5313208e+001, 1.6740333e+001],
[1.6583970e+001, 1.9889804e+001],
[2.0761205e+001, 2.6173166e+001],
[1.8624129e+001, 2.6664506e+001],
[1.7984162e+001, 2.4845465e+001],
[1.6564255e+001, 2.3986418e+001],
[1.6532138e+001, 2.2021948e+001],
[4.0000000e+000, 0.0000000e+000],
[4.8928689e+000, 1.7588943e+000],
[5.9188625e+000, 3.5192010e+000],
[6.8496700e+000, 5.2189773e+000],
[7.8469662e+000, 6.8352573e+000],
[8.7499531e+000, 8.8677978e+000],
[1.0117498e+001, 1.0195822e+001],
[1.0469459e+001, 1.1764961e+001],
[1.0538494e+001, 1.3854029e+001],
[1.2255853e+001, 1.4864095e+001],
[1.2175201e+001, 1.6992966e+001],
[1.4143162e+001, 1.7676956e+001],
[1.4471916e+001, 1.9316303e+001],
[1.4363988e+001, 2.1048926e+001],
[2.0192147e+001, 2.8049097e+001],
[1.8390048e+001, 2.8942360e+001],
[1.6620487e+001, 2.7932176e+001],
[1.6611844e+001, 2.5930833e+001],
[1.4819504e+001, 2.4986131e+001],
[1.4747832e+001, 2.2995038e+001],
[2.0000000e+000, 0.0000000e+000],
[2.7270378e+000, 1.7270378e+000],
[3.6381610e+000, 3.7633806e+000],
[5.0135757e+000, 5.0969083e+000],
[5.5595337e+000, 6.8895816e+000],
[6.8644935e+000, 8.2919653e+000],
[6.9469686e+000, 9.9621411e+000],
[8.6129481e+000, 1.1037041e+001],
[8.6602589e+000, 1.3000000e+001],
[8.6602831e+000, 1.5000000e+001],
[1.0393761e+001, 1.5999816e+001],
[1.0400837e+001, 1.7998896e+001],
[1.2419438e+001, 1.8959087e+001],
[1.3372973e+001, 2.0011413e+001],
[1.2732049e+001, 2.2325493e+001],
[1.2236548e+001, 2.0721339e+001],
[2.0000000e+001, 3.0000000e+001],
[1.8288299e+001, 3.0990393e+001],
[1.6560299e+001, 2.9988481e+001],
[1.4808702e+001, 2.8997708e+001],
[1.4818755e+001, 2.6988314e+001],
[1.3074880e+001, 2.5997641e+001],
[1.2691689e+001, 2.3997682e+001],
[0.0000000e+000, 0.0000000e+000],
[0.0000000e+000, 2.0000000e+000],
[1.6233887e+000, 3.2591152e+000],
[1.7597298e+000, 4.9383626e+000],
[3.4650326e+000, 5.9829826e+000],
[3.4641016e+000, 8.0000000e+000],
[5.1961524e+000, 9.0000000e+000],
[5.1961524e+000, 1.1000000e+001],
[6.9282032e+000, 1.2000000e+001],
[6.9282032e+000, 1.4000000e+001],
[6.9282032e+000, 1.6000000e+001],
[8.6604283e+000, 1.7000000e+001],
[8.6612997e+000, 1.9000000e+001],
[1.0442277e+001, 1.9993373e+001],
[1.1652419e+001, 2.3001274e+001],
[1.0684821e+001, 2.1960240e+001],
[2.0000000e+001, 3.2000000e+001],
[1.8271341e+001, 3.2998399e+001],
[1.6539855e+001, 3.1998132e+001],
[1.4808574e+001, 3.0997769e+001],
[1.3073571e+001, 2.9999162e+001],
[1.3075386e+001, 2.7997531e+001],
[1.1341020e+001, 2.6999097e+001],
[1.0998951e+001, 2.5332403e+001],
[1.0501118e+001, 2.3721681e+001],
[0.0000000e+000, 4.0000000e+000],
[0.0000000e+000, 6.0000000e+000],
[1.7320508e+000, 7.0000000e+000],
[1.7320508e+000, 9.0000000e+000],
[3.4641016e+000, 1.0000000e+001],
[3.4641016e+000, 1.2000000e+001],
[5.1961524e+000, 1.3000000e+001],
[5.1961524e+000, 1.5000000e+001],
[5.1961524e+000, 1.7000000e+001],
[6.9282032e+000, 1.8000000e+001],
[6.9282032e+000, 2.0000000e+001],
[8.6665280e+000, 2.1000000e+001],
[8.6978979e+000, 2.3000000e+001],
[2.0000000e+001, 3.4000000e+001],
[1.8268514e+001, 3.4999733e+001],
[1.6537217e+001, 3.3999377e+001],
[1.4805515e+001, 3.2999213e+001],
[1.3072862e+001, 3.1999497e+001],
[1.1340219e+001, 3.0999777e+001],
[1.1340719e+001, 2.8999412e+001],
[9.7955554e+000, 2.7999728e+001],
[9.8736113e+000, 2.6466246e+001],
[8.8861171e+000, 2.5000000e+001],
[0.0000000e+000, 8.0000000e+000],
[0.0000000e+000, 1.0000000e+001],
[1.7320508e+000, 1.1000000e+001],
[1.7320508e+000, 1.3000000e+001],
[3.4641016e+000, 1.4000000e+001],
[3.4641016e+000, 1.6000000e+001],
[3.4641016e+000, 1.8000000e+001],
[5.1961524e+000, 1.9000000e+001],
[5.1961524e+000, 2.1000000e+001],
[6.9282032e+000, 2.2000000e+001],
[6.9282033e+000, 2.4000000e+001],
[2.0000000e+001, 3.6000000e+001],
[1.8268043e+001, 3.6999956e+001],
[1.6536228e+001, 3.5999844e+001],
[1.4804400e+001, 3.4999739e+001],
[1.3072344e+001, 3.3999742e+001],
[1.1340094e+001, 3.2999836e+001],
[9.7648297e+000, 3.1999950e+001],
[9.7910616e+000, 2.9999859e+001],
[8.3464240e+000, 2.9000002e+001],
[8.3464128e+000, 2.7000000e+001],
[6.9282036e+000, 2.6000000e+001],
[0.0000000e+000, 1.2000000e+001],
[0.0000000e+000, 1.4000000e+001],
[1.7320508e+000, 1.5000000e+001],
[1.7320508e+000, 1.7000000e+001],
[1.7320508e+000, 1.9000000e+001],
[3.4641016e+000, 2.0000000e+001],
[3.4641016e+000, 2.2000000e+001],
[5.1961524e+000, 2.3000000e+001],
[5.1961525e+000, 2.5000000e+001],
[2.0000000e+001, 3.8000000e+001],
[1.8267965e+001, 3.8999993e+001],
[1.6535972e+001, 3.7999965e+001],
[1.4804007e+001, 3.6999925e+001],
[1.3072007e+001, 3.5999901e+001],
[1.1339930e+001, 3.4999913e+001],
[9.7912980e+000, 3.4000044e+001],
[8.3467920e+000, 3.3000074e+001],
[8.3464827e+000, 3.1000012e+001],
[6.9282121e+000, 3.0000000e+001],
[6.9282050e+000, 2.8000000e+001],
[5.1961526e+000, 2.7000000e+001],
[0.0000000e+000, 1.6000000e+001],
[0.0000000e+000, 1.8000000e+001],
[0.0000000e+000, 2.0000000e+001],
[1.7320508e+000, 2.1000000e+001],
[1.7320508e+000, 2.3000000e+001],
[3.4641016e+000, 2.4000000e+001],
[3.4641016e+000, 2.6000000e+001],
[2.0000000e+001, 4.0000000e+001],
[1.8267952e+001, 4.0999999e+001],
[1.6535914e+001, 3.9999993e+001],
[1.4803889e+001, 3.8999981e+001],
[1.3071865e+001, 3.7999968e+001],
[1.1339823e+001, 3.6999964e+001],
[9.7974474e+000, 3.6000625e+001],
[8.3484470e+000, 3.5000492e+001],
[6.9284133e+000, 3.3999958e+001],
[6.9282475e+000, 3.1999996e+001],
[5.1961604e+000, 3.1000002e+001],
[5.1961538e+000, 2.9000000e+001],
[3.4641016e+000, 2.8000000e+001],
[0.0000000e+000, 2.2000000e+001],
[0.0000000e+000, 2.4000000e+001],
[1.7320508e+000, 2.5000000e+001],
[1.7320508e+000, 2.7000000e+001],
[2.0000000e+001, 4.2000000e+001],
[1.8267950e+001, 4.3000000e+001],
[1.6535901e+001, 4.1999999e+001],
[1.4803858e+001, 4.0999995e+001],
[1.3053051e+001, 4.0037850e+001],
[1.1295233e+001, 3.9044813e+001],
[9.8010076e+000, 3.8011963e+001],
[8.3574909e+000, 3.7003339e+001],
[6.9291337e+000, 3.5999654e+001],
[5.1964352e+000, 3.5000083e+001],
[5.1961998e+000, 3.3000014e+001],
[3.4641018e+000, 3.2000000e+001],
[3.4641017e+000, 3.0000000e+001],
[1.7320508e+000, 2.9000000e+001],
[0.0000000e+000, 2.6000000e+001],
[0.0000000e+000, 2.8000000e+001],
[2.0000000e+001, 4.4000000e+001],
[1.8240270e+001, 4.5061637e+001],
[1.6479493e+001, 4.4070580e+001],
[1.4782483e+001, 4.3145737e+001],
[1.3162423e+001, 4.2153730e+001],
[1.1091269e+001, 4.1231096e+001],
[9.8601024e+000, 3.9694249e+001],
[8.4083559e+000, 3.9023038e+001],
[6.9318114e+000, 3.7997341e+001],
[5.1978440e+000, 3.7000499e+001],
[3.4641060e+000, 3.5999998e+001],
[3.4641026e+000, 3.3999999e+001],
[1.7320510e+000, 3.3000000e+001],
[1.7320508e+000, 3.1000000e+001],
[0.0000000e+000, 3.0000000e+001],
[2.0000000e+001, 4.6000000e+001],
[1.8268349e+001, 4.7283235e+001],
[1.6225143e+001, 4.6361846e+001],
[1.4898084e+001, 4.4983944e+001],
[1.3107994e+001, 4.4439846e+001],
[1.1703124e+001, 4.3127139e+001],
[9.9313829e+000, 4.3032346e+001],
[8.7046457e+000, 4.1160337e+001],
[6.9380336e+000, 3.9980550e+001],
[5.2062796e+000, 3.9003000e+001],
[3.4641193e+000, 3.7999994e+001],
[1.7320582e+000, 3.6999994e+001],
[1.7320520e+000, 3.4999999e+001],
[0.0000000e+000, 3.4000000e+001],
[0.0000000e+000, 3.2000000e+001],
[2.0000000e+001, 4.8000000e+001],
[1.8000000e+001, 5.0000000e+001],
[1.6727635e+001, 4.8384202e+001],
[1.4992130e+001, 4.8258316e+001],
[1.4003301e+001, 4.6537709e+001],
[1.2000295e+001, 4.6535888e+001],
[1.1018049e+001, 4.4743170e+001],
[9.0030083e+000, 4.4793723e+001],
[7.8417404e+000, 4.3156953e+001],
[6.8719748e+000, 4.1701962e+001],
[5.2568443e+000, 4.1018001e+001],
[3.4641554e+000, 4.0000007e+001],
[1.7320954e+000, 3.8999964e+001],
[0.0000000e+000, 3.8000000e+001],
[0.0000000e+000, 3.6000000e+001],
[2.0000000e+001, 5.0000000e+001],
[1.6000000e+001, 5.0000000e+001],
[1.4000000e+001, 5.0000000e+001],
[1.2998688e+001, 4.8266344e+001],
[1.0999781e+001, 4.8267682e+001],
[1.0000007e+001, 4.6535845e+001],
[7.9999940e+000, 4.6535881e+001],
[6.8547620e+000, 4.4780789e+001],
[5.5602395e+000, 4.3107704e+001],
[3.4641121e+000, 4.2000295e+001],
[1.7323184e+000, 4.0999781e+001],
[0.0000000e+000, 4.0000000e+001],
[1.2000000e+001, 5.0000000e+001],
[1.0000000e+001, 5.0000000e+001],
[8.9999636e+000, 4.8267905e+001],
[6.9999939e+000, 4.8267942e+001],
[5.9294172e+000, 4.6479488e+001],
[5.0161554e+000, 4.4897744e+001],
[3.4622914e+000, 4.4003301e+001],
[1.7336564e+000, 4.2998688e+001],
[0.0000000e+000, 4.2000000e+001],
[8.0000000e+000, 5.0000000e+001],
[6.0000000e+000, 5.0000000e+001],
[4.9383616e+000, 4.8240269e+001],
[3.6381539e+000, 4.6225143e+001],
[1.7416841e+000, 4.4992130e+001],
[0.0000000e+000, 4.4000000e+001],
[4.0000000e+000, 5.0000000e+001],
[2.7167647e+000, 4.8268349e+001],
[1.6157983e+000, 4.6727635e+001],
[0.0000000e+000, 4.6000000e+001],
[2.0000000e+000, 5.0000000e+001],
[0.0000000e+000, 4.8000000e+001],
[0.0000000e+000, 5.0000000e+001]
])
setup.NumElem = 820
Incid = np.array([
[124, 137, 121],
[217, 239, 218],
[198, 217, 199],
[181, 198, 182],
[166, 181, 167],
[152, 166, 153],
[138, 152, 139],
[137, 138, 122],
[246, 223, 247],
[ 2, 1, 3],
[ 75, 92, 93],
[123, 124, 109],
[124, 121, 109],
[239, 262, 240],
[218, 239, 240],
[407, 422, 408],
[453, 455, 454],
[223, 203, 224],
[223, 224, 247],
[203, 185, 204],
[224, 203, 204],
[185, 169, 186],
[204, 185, 186],
[169, 154, 170],
[186, 169, 170],
[154, 140, 155],
[170, 154, 155],
[140, 125, 141],
[155, 140, 141],
[125, 110, 126],
[141, 125, 126],
[110, 94, 111],
[126, 110, 111],
[ 94, 77, 95],
[111, 94, 95],
[ 77, 62, 78],
[ 95, 77, 78],
[ 62, 49, 63],
[ 78, 62, 63],
[ 49, 38, 50],
[ 63, 49, 50],
[ 38, 28, 39],
[ 50, 38, 39],
[ 28, 20, 29],
[ 39, 28, 29],
[ 20, 13, 21],
[ 29, 20, 21],
[ 13, 8, 14],
[ 21, 13, 14],
[ 8, 4, 9],
[ 14, 8, 9],
[ 4, 2, 5],
[ 9, 4, 5],
[ 5, 2, 3],
[ 3, 6, 7],
[ 3, 7, 5],
[ 5, 7, 10],
[ 6, 11, 12],
[ 7, 6, 12],
[ 11, 18, 19],
[ 12, 11, 19],
[ 18, 26, 27],
[ 19, 18, 27],
[ 26, 36, 37],
[ 27, 26, 37],
[ 36, 47, 48],
[ 37, 36, 48],
[ 47, 60, 61],
[ 48, 47, 61],
[ 60, 75, 76],
[ 61, 60, 76],
[ 76, 75, 93],
[ 93, 106, 88],
[ 93, 88, 76],
[ 76, 88, 72],
[106, 107, 89],
[ 88, 106, 89],
[107, 123, 108],
[ 89, 107, 108],
[123, 109, 108],
[217, 218, 199],
[198, 199, 182],
[181, 182, 167],
[166, 167, 153],
[152, 153, 139],
[138, 139, 122],
[121, 137, 122],
[262, 284, 263],
[240, 262, 263],
[284, 305, 285],
[263, 284, 285],
[305, 325, 306],
[285, 305, 306],
[325, 344, 326],
[306, 325, 326],
[344, 361, 345],
[326, 344, 345],
[361, 377, 362],
[345, 361, 362],
[377, 392, 378],
[362, 377, 378],
[392, 407, 393],
[378, 392, 393],
[393, 407, 408],
[408, 423, 409],
[408, 409, 393],
[393, 409, 394],
[423, 424, 410],
[409, 423, 410],
[424, 434, 425],
[410, 424, 425],
[434, 435, 426],
[425, 434, 426],
[435, 443, 436],
[426, 435, 436],
[443, 444, 437],
[436, 443, 437],
[444, 449, 445],
[437, 444, 445],
[449, 453, 450],
[445, 449, 450],
[450, 453, 454],
[454, 452, 451],
[454, 451, 450],
[450, 451, 446],
[452, 448, 447],
[451, 452, 447],
[448, 442, 441],
[447, 448, 441],
[442, 433, 432],
[441, 442, 432],
[433, 420, 419],
[432, 433, 419],
[420, 421, 403],
[419, 420, 403],
[421, 405, 404],
[403, 421, 404],
[405, 406, 389],
[404, 405, 389],
[406, 391, 390],
[389, 406, 390],
[391, 376, 374],
[390, 391, 374],
[376, 375, 360],
[374, 376, 360],
[375, 358, 359],
[360, 375, 359],
[358, 357, 341],
[359, 358, 341],
[357, 339, 340],
[341, 357, 340],
[339, 338, 320],
[340, 339, 320],
[338, 337, 319],
[320, 338, 319],
[337, 317, 318],
[319, 337, 318],
[317, 316, 297],
[318, 317, 297],
[316, 295, 296],
[297, 316, 296],
[295, 294, 274],
[296, 295, 274],
[294, 272, 273],
[274, 294, 273],
[272, 271, 249],
[273, 272, 249],
[271, 247, 248],
[249, 271, 248],
[248, 247, 224],
[248, 224, 225],
[108, 109, 91],
[ 91, 109, 104],
[104, 109, 121],
[240, 263, 264],
[240, 264, 241],
[240, 241, 218],
[224, 204, 225],
[204, 186, 205],
[204, 205, 225],
[186, 170, 187],
[205, 186, 187],
[170, 155, 171],
[187, 170, 171],
[155, 141, 156],
[171, 155, 156],
[141, 126, 142],
[156, 141, 142],
[126, 111, 127],
[142, 126, 127],
[111, 95, 112],
[127, 111, 112],
[ 95, 78, 96],
[112, 95, 96],
[ 78, 63, 79],
[ 96, 78, 79],
[ 63, 50, 64],
[ 79, 63, 64],
[ 50, 39, 51],
[ 64, 50, 51],
[ 39, 29, 40],
[ 51, 39, 40],
[ 29, 21, 30],
[ 40, 29, 30],
[ 21, 14, 22],
[ 30, 21, 22],
[ 14, 9, 15],
[ 22, 14, 15],
[ 9, 5, 10],
[ 15, 9, 10],
[ 10, 7, 12],
[ 12, 19, 16],
[ 12, 16, 10],
[ 19, 27, 24],
[ 16, 19, 24],
[ 27, 37, 33],
[ 24, 27, 33],
[ 37, 48, 44],
[ 33, 37, 44],
[ 48, 61, 57],
[ 44, 48, 57],
[ 61, 76, 72],
[ 57, 61, 72],
[ 72, 88, 89],
[ 89, 108, 90],
[ 89, 90, 72],
[108, 91, 90],
[263, 285, 286],
[264, 263, 286],
[285, 306, 307],
[286, 285, 307],
[306, 326, 327],
[307, 306, 327],
[326, 345, 346],
[327, 326, 346],
[345, 362, 363],
[346, 345, 363],
[362, 378, 379],
[363, 362, 379],
[378, 393, 394],
[379, 378, 394],
[394, 409, 410],
[410, 425, 411],
[410, 411, 394],
[425, 426, 412],
[411, 425, 412],
[426, 436, 427],
[412, 426, 427],
[436, 437, 428],
[427, 436, 428],
[437, 445, 438],
[428, 437, 438],
[445, 450, 446],
[438, 445, 446],
[446, 451, 447],
[447, 441, 440],
[447, 440, 446],
[441, 432, 431],
[440, 441, 431],
[432, 419, 418],
[431, 432, 418],
[419, 403, 402],
[418, 419, 402],
[403, 404, 387],
[402, 403, 387],
[404, 389, 388],
[387, 404, 388],
[389, 390, 372],
[388, 389, 372],
[390, 374, 373],
[372, 390, 373],
[374, 360, 356],
[373, 374, 356],
[360, 359, 343],
[356, 360, 343],
[359, 341, 342],
[343, 359, 342],
[341, 340, 322],
[342, 341, 322],
[340, 320, 321],
[322, 340, 321],
[320, 319, 300],
[321, 320, 300],
[319, 318, 299],
[300, 319, 299],
[318, 297, 298],
[299, 318, 298],
[297, 296, 276],
[298, 297, 276],
[296, 274, 275],
[276, 296, 275],
[274, 273, 251],
[275, 274, 251],
[273, 249, 250],
[251, 273, 250],
[249, 248, 225],
[250, 249, 225],
[ 91, 104, 86],
[ 90, 91, 74],
[ 91, 86, 74],
[ 86, 104, 87],
[ 87, 104, 105],
[105, 104, 121],
[241, 264, 265],
[264, 286, 287],
[265, 264, 287],
[241, 265, 242],
[241, 242, 219],
[241, 219, 218],
[205, 187, 206],
[205, 206, 226],
[205, 226, 225],
[187, 171, 188],
[206, 187, 188],
[171, 156, 172],
[188, 171, 172],
[156, 142, 157],
[172, 156, 157],
[142, 127, 143],
[157, 142, 143],
[127, 112, 128],
[143, 127, 128],
[112, 96, 113],
[128, 112, 113],
[ 96, 79, 97],
[113, 96, 97],
[ 79, 64, 80],
[ 97, 79, 80],
[ 64, 51, 65],
[ 80, 64, 65],
[ 51, 40, 52],
[ 65, 51, 52],
[ 40, 30, 41],
[ 52, 40, 41],
[ 30, 22, 31],
[ 41, 30, 31],
[ 22, 15, 23],
[ 31, 22, 23],
[ 23, 15, 17],
[ 17, 15, 10],
[ 16, 24, 25],
[ 16, 25, 17],
[ 16, 17, 10],
[ 17, 25, 23],
[ 24, 33, 34],
[ 25, 24, 34],
[ 33, 44, 45],
[ 34, 33, 45],
[ 44, 57, 58],
[ 45, 44, 58],
[ 58, 57, 73],
[ 73, 57, 72],
[ 90, 74, 73],
[ 90, 73, 72],
[ 73, 74, 58],
[286, 307, 308],
[287, 286, 308],
[307, 327, 328],
[308, 307, 328],
[327, 346, 347],
[328, 327, 347],
[346, 363, 364],
[347, 346, 364],
[363, 379, 380],
[364, 363, 380],
[380, 379, 395],
[395, 379, 394],
[411, 412, 396],
[411, 396, 395],
[411, 395, 394],
[395, 396, 380],
[412, 427, 413],
[396, 412, 413],
[427, 428, 414],
[413, 427, 414],
[428, 438, 429],
[414, 428, 429],
[429, 438, 439],
[439, 438, 446],
[440, 431, 430],
[440, 430, 439],
[440, 439, 446],
[439, 430, 429],
[431, 418, 417],
[430, 431, 417],
[418, 402, 401],
[417, 418, 401],
[402, 387, 386],
[401, 402, 386],
[387, 388, 370],
[386, 387, 370],
[388, 372, 371],
[370, 388, 371],
[372, 373, 354],
[371, 372, 354],
[373, 356, 355],
[354, 373, 355],
[356, 343, 336],
[355, 356, 336],
[343, 342, 324],
[336, 343, 324],
[342, 322, 323],
[324, 342, 323],
[322, 321, 302],
[323, 322, 302],
[321, 300, 301],
[302, 321, 301],
[300, 299, 279],
[301, 300, 279],
[299, 298, 278],
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