TALLER_MOM2

TALLER DE SIMULACION DE VARIABLES ALEATORIAS NO UNIFORMES

En un centro de soporte técnico de una empresa de software, llegan solicitudes de usuarios que deben ser atendidas por ingenieros de sistemas. Se quiere modelar el proceso de llegada y atención de solicitudes con distribuciones de probabilidad, y simular el sistema con R.

1. Llegadas de solicitudes Suponga que, en promedio, llegan 5 solicitudes por hora al sistema. a. Genere 5000 valores aleatorios que representen el número de solicitudes que llegan en cada hora. b. Interprete el resultado. c. Realice un gráfico de barras de las frecuencias. d. Determine la probabilidad impírica de lleguen menos de 3 solicitudes

#metodo possion
# Usamos set.seed para que todos obtengamos los mismos resultados al ejecutar
set.seed(123) 

# a) Generar 5000 llegadas de solicitudes por hora
llegadas <- rpois(5000, 5)

# b) Media y varianza para interpretar
mean(llegadas)      # promedio de llegadas por hora

## [1] 4.9732

var(llegadas)       # varianza de llegadas por hora

## [1] 4.933869

# c) Gráfico de barras de frecuencias
barplot(table(llegadas),
        main = "Llegadas de solicitudes por hora (λ=5)",
        xlab = "Número de solicitudes",
        ylab = "Frecuencia",
        col = 7)

# d) Probabilidad empírica de menos de 3 solicitudes
prob_3 <- mean(llegadas < 3)
prob_3

## [1] 0.1248

2. Tiempos entre llegadas El tiempo entre llegadas de solicitudes sigue una distribución Exponencial con media 12 minutos.

1. Genere 5000 tiempos entre llegadas.
2. Represente el histograma.

# Punto 2: metodo exponencial
# Media = 12 minutos => rate = 1/12
set.seed(123)                
tiempos <- rexp(5000, rate = 1/12)

# a) Ya generamos los 5000 tiempos entre llegadas
tiempos                       # Muestra algunos valores

##    [1] 1.012149e+01 6.919323e+00 1.594866e+01 3.789283e-01 6.745317e-01
##    [6] 3.798015e+00 3.770728e+00 1.743202e+00 3.271484e+01 3.498414e-01
##   [11] 1.205796e+01 5.762577e+00 3.372164e+00 4.525414e+00 2.259408e+00
##   [16] 1.019743e+01 1.875844e+01 5.745125e+00 7.091218e+00 4.849214e+01
##   [21] 1.011780e+01 1.159045e+01 1.782331e+01 1.617653e+01 1.402235e+01
##   [26] 1.927023e+01 1.796091e+01 1.884783e+01 3.812129e-01 7.174196e+00
##   [31] 2.601408e+01 6.079389e+00 3.114694e+00 3.116271e+01 1.474831e+01
##   [36] 9.488181e+00 7.551361e+00 1.505569e+01 7.064216e+00 1.355148e+01
##   [41] 5.044378e+00 8.653209e+01 1.014866e+01 2.706504e+00 1.320407e+01
##   [46] 2.697967e+01 1.636481e+01 6.916700e+00 3.270331e+01 1.574596e+01
##   [51] 1.087096e+00 3.674446e+00 1.280656e+01 3.762195e+00 1.169568e+01
##   [56] 2.265388e+01 6.775063e+00 3.092354e+01 1.257235e+01 1.229330e+01
##   [61] 1.233444e+01 3.416022e+00 1.875662e+01 5.050595e-01 1.183571e+00
##   [66] 1.182832e+00 3.364622e+00 3.549444e+00 1.166916e+01 1.108833e+01
##   [71] 1.970885e+01 1.943895e+01 3.043375e+01 1.825860e+01 4.560170e+00
##   [76] 2.862156e+00 5.597849e+00 5.072574e-01 3.836123e+00 7.723331e+00
##   [81] 6.870757e+00 2.592666e+00 5.398408e+01 2.228509e+01 8.225504e+00
##   [86] 1.727343e+01 2.077385e+01 1.493740e+01 1.755961e+01 1.844873e+01
##   [91] 5.518952e-02 1.330519e+01 3.599644e+00 1.430404e+01 1.337914e+01
##   [96] 8.085107e-01 5.768025e+00 1.884545e+01 3.119353e+00 2.228307e+01
##  [101] 5.558635e+00 2.832429e+00 1.418519e+01 7.160565e-01 4.838861e+00
##  [106] 1.131528e+01 4.998968e+00 9.038621e+00 2.264237e+00 1.052225e+01
##  [111] 2.280454e+00 1.174894e+01 3.880510e+00 1.584573e+01 3.821528e+00
##  [116] 1.926081e+01 1.748809e+00 2.163755e+01 3.607135e-01 1.564129e+01
##  [121] 2.397507e+00 2.101747e+01 2.116402e+01 1.011652e+01 4.185033e+00
##  [126] 3.957390e+01 4.820474e+00 1.320842e+01 1.594708e+01 7.702832e+00
##  [131] 2.350005e+00 5.481466e+00 4.473002e+00 4.156314e+01 1.528833e+01
##  [136] 1.297782e+01 3.563510e+00 1.009929e+00 3.544081e+01 2.361903e+01
##  [141] 7.966262e+00 1.931271e+01 7.282045e+00 1.123828e+00 3.895623e+00
##  [146] 2.111859e+01 3.193329e+00 1.128751e+01 5.389304e+00 1.546688e+01
##  [151] 2.139469e+00 1.886071e+01 7.456896e-01 6.847000e+00 2.076937e+01
##  [156] 1.572893e+01 1.553848e+01 5.607729e+00 3.946775e-01 1.836457e+00
##  [161] 1.246166e+01 1.298935e+01 4.496749e+01 6.751310e-02 5.240845e-02
##  [166] 2.039981e+01 6.488018e+00 5.644423e+00 6.187130e-01 6.206236e+00
##  [171] 1.779772e+01 1.535383e+01 1.711762e+01 2.541953e+01 1.708992e+01
##  [176] 1.060937e+01 3.229184e+01 2.675889e+01 6.273654e+00 8.238068e-01
##  [181] 6.829806e+00 5.239093e+01 6.697581e+00 5.505376e+00 3.123164e+00
##  [186] 8.386101e+00 1.155826e+01 8.777755e+00 1.334735e+01 7.267495e+00
##  [191] 8.057012e+00 1.957991e+01 1.223114e+00 4.895809e+00 3.288418e+01
##  [196] 3.422253e+01 2.900805e-01 5.707138e+00 8.017303e+00 1.140276e+01
##  [201] 1.365330e+01 9.931810e-01 1.971489e+01 1.906805e+00 1.774339e+01
##  [206] 1.356381e+00 2.689508e+00 8.046128e+00 1.844197e+01 2.314586e+01
##  [211] 2.562866e+00 6.814715e+00 2.319989e+01 4.323297e+01 1.583494e+01
##  [216] 1.116917e+01 3.785482e+00 1.737385e+00 1.113953e+01 3.100110e+00
##  [221] 6.460654e+00 9.042524e-01 1.541252e+00 3.118608e+01 2.484229e+01
##  [226] 2.464572e+00 3.319351e+01 1.747611e+01 3.315507e+01 1.779401e+01
##  [231] 3.289251e+00 9.004005e+00 1.260477e+01 4.338901e+00 1.153133e+01
##  [236] 7.957646e+00 1.893165e+01 2.306977e+01 2.676038e+00 4.614247e+01
##  [241] 2.310325e+00 1.177076e+01 2.519492e+00 1.495159e+01 2.004114e+01
##  [246] 4.688265e+00 1.213604e+01 8.998037e-01 3.204690e+01 2.010745e+01
##  [251] 9.901424e+00 2.012936e+00 5.560984e+00 2.052554e+01 5.893754e+00
##  [256] 1.875561e+01 1.350450e+01 4.159980e+00 5.717424e-01 1.310825e+01
##  [261] 1.711956e+01 6.217666e+00 1.950706e+01 2.632821e+01 2.038477e+00
##  [266] 9.315111e+00 1.898823e+01 7.449554e+00 3.098529e+01 7.728722e+00
##  [271] 1.382733e+01 8.321637e+00 1.842524e+01 7.534409e+00 1.109043e+01
##  [276] 4.505824e+00 9.630282e-01 4.277373e+00 1.525812e+01 2.648718e+01
##  [281] 9.040914e+00 4.120491e-01 6.886256e+00 1.329086e+01 1.390696e+01
##  [286] 1.009857e+01 2.830810e+01 1.385957e+01 2.172486e+01 8.652893e-01
##  [291] 9.476909e-02 2.839031e+00 2.879929e+01 3.291013e+00 2.112290e+01
##  [296] 8.838874e+00 7.561956e+00 1.077261e+01 1.382198e+01 1.129918e+01
##  [301] 3.562113e+01 4.513182e-01 4.296322e+00 2.123251e-01 1.085637e+01
##  [306] 3.718349e+00 7.595475e+00 3.643876e+01 5.736760e+00 1.305630e+01
##  [311] 7.902020e+00 8.529934e-01 9.495944e+00 7.222757e+00 3.054908e+01
##  [316] 7.970587e+00 9.606810e+00 6.074642e+00 6.776198e-01 7.253717e+00
##  [321] 1.480610e+01 1.204244e+01 2.430965e+01 1.665184e+00 4.406038e+00
##  [326] 3.977643e+00 7.174190e-01 2.362296e-01 4.200008e+01 3.959170e+01
##  [331] 1.672542e+00 3.606276e+00 3.690400e+00 1.528995e+01 7.495316e+00
##  [336] 1.128562e+00 4.602336e+00 2.099073e+00 1.421538e+01 1.615643e+01
##  [341] 4.369245e+01 1.601618e+00 1.507888e+01 1.397677e+01 1.258796e+00
##  [346] 4.000924e+00 5.055723e-01 7.349853e-01 2.008951e-01 1.251753e+01
##  [351] 2.659325e-01 4.475768e+00 1.808269e+01 7.234310e+00 1.867861e+01
##  [356] 7.745217e+00 1.220566e+01 1.427790e+01 3.113890e+00 3.150698e+01
##  [361] 4.648000e+01 4.857067e+00 6.116771e+00 3.672050e-01 6.609782e+00
##  [366] 1.440495e+01 3.744056e+01 1.380950e+01 9.457827e+00 2.532575e+00
##  [371] 6.219248e+00 8.276031e+00 9.183468e+00 2.289080e+01 7.654929e+00
##  [376] 1.637107e+01 2.252124e+00 7.171765e+00 7.512780e-01 3.017847e+00
##  [381] 5.895269e+00 2.934596e+01 1.074261e+01 2.749492e+00 6.070369e+00
##  [386] 3.957181e+00 5.678888e+00 4.689742e-01 6.979930e-02 1.314392e+01
##  [391] 8.293347e+00 7.354444e+00 2.691021e+01 2.734499e+01 1.307285e+00
##  [396] 2.129324e+01 4.500567e+01 5.115323e-01 2.951865e+01 9.901879e+00
##  [401] 1.649864e+01 2.094675e+00 7.360666e+00 2.402707e+01 1.204532e+01
##  [406] 5.154115e+00 7.949327e+00 4.579901e+00 5.360584e-01 2.102256e+01
##  [411] 8.648652e+00 3.235212e+00 9.494619e-01 1.808547e+01 9.935931e+00
##  [416] 1.992734e+00 2.047802e+01 3.144311e+01 1.127691e+01 8.804125e+00
##  [421] 4.736380e+01 2.783024e+00 1.114230e+00 1.438710e+01 2.247934e+01
##  [426] 1.265001e+01 3.830912e+00 5.504662e+00 8.348411e+00 8.973778e-01
##  [431] 5.056104e+00 5.096958e+00 4.714123e+01 1.632966e+01 5.384481e+00
##  [436] 2.116914e+01 1.147678e+01 7.302151e+00 9.911686e-03 1.887736e+01
##  [441] 4.022695e+01 2.336484e+00 1.174153e+01 6.702960e-01 7.090128e+00
##  [446] 2.618836e+01 4.680497e+00 2.074506e+00 1.994134e+01 2.670627e+01
##  [451] 1.378502e+00 8.623064e+00 2.419494e+01 3.307473e-01 2.064684e+01
##  [456] 1.664465e+00 1.847415e+01 1.862357e+01 1.610736e+01 4.392247e+00
##  [461] 3.682268e+00 5.621895e+00 7.379979e+00 1.692972e+01 8.355136e+00
##  [466] 1.223202e+01 1.586669e+01 3.248822e+00 7.406689e+00 8.740224e+00
##  [471] 7.667211e+00 5.374416e+01 2.416357e+01 4.400282e+01 9.908136e+00
##  [476] 4.512651e+00 2.070648e+01 1.588404e+01 3.286592e+01 9.784895e+00
##  [481] 1.366814e+01 8.761519e+00 9.326479e+00 3.931664e+01 8.931989e+00
##  [486] 3.974412e+00 4.023366e+00 4.024665e+01 4.682526e+00 1.375432e+01
##  [491] 1.157863e+00 1.047821e+01 1.673948e+01 2.157639e+00 1.480215e+00
##  [496] 4.529307e+00 1.125877e+01 2.534084e+00 6.309619e-01 3.609541e+01
##  [501] 5.884088e+01 6.525828e+00 1.386160e+01 1.729769e+00 4.891511e+00
##  [506] 3.773305e+00 1.020667e+01 3.162327e+01 5.096491e+00 2.713884e+01
##  [511] 7.635664e-02 1.711981e+01 1.197696e+01 5.433573e+00 3.626943e+00
##  [516] 6.250400e-01 3.523462e-01 3.538611e+00 1.057035e+01 1.973588e+01
##  [521] 2.917609e+01 1.813757e+01 2.093336e+01 6.287648e+00 6.574786e-01
##  [526] 1.084722e-01 4.636774e+00 8.924519e-01 1.235968e+00 5.888204e+00
##  [531] 2.476391e+00 8.770246e+00 2.134051e+01 4.070485e+00 1.116547e+00
##  [536] 7.475128e+00 6.220003e+00 4.500141e+01 1.460114e+01 4.080903e+01
##  [541] 7.149670e+00 4.513206e+00 2.005509e+00 4.039767e+00 2.715503e-01
##  [546] 6.306014e+00 5.941534e-01 6.697631e+01 4.420139e+00 1.474673e+01
##  [551] 1.165632e+01 7.401270e+00 3.736815e+01 1.377742e+01 5.693398e+00
##  [556] 1.302249e+01 1.312364e+00 1.781092e+01 6.838357e+00 1.697622e+00
##  [561] 2.312711e+00 1.319933e+00 1.970366e-01 3.237028e+00 3.079506e+01
##  [566] 2.016922e+01 1.577776e+01 1.272486e+01 1.625012e+01 1.091228e+01
##  [571] 1.446733e+00 1.959945e+01 3.657041e-01 5.095681e-01 1.599517e+01
##  [576] 1.205743e+01 2.958273e+00 1.807341e+01 4.560470e+00 2.893226e+01
##  [581] 6.767254e+00 3.894526e+01 7.676272e+00 9.249372e+00 9.894586e+00
##  [586] 3.437317e+00 5.821151e-02 1.643196e+01 1.423746e+01 3.050657e+00
##  [591] 1.146674e+00 1.934800e+01 2.300150e+01 9.043236e+00 1.731568e+00
##  [596] 1.552589e+01 1.571169e+00 7.910973e+00 3.410732e+00 1.510971e+01
##  [601] 5.029917e+00 2.722923e+01 2.001327e+01 3.974951e+00 6.568611e+00
##  [606] 1.049697e+01 2.555390e+01 1.115358e+01 2.240900e+01 1.679454e-01
##  [611] 4.432754e+01 6.568465e+00 1.431962e+00 3.395103e+00 1.064028e+01
##  [616] 7.025720e+00 2.053574e+00 1.526620e+01 7.469696e+00 1.160879e+01
##  [621] 1.954736e+00 1.055361e+01 2.035832e+01 1.714319e+01 2.921424e+00
##  [626] 1.151863e+00 1.896298e+01 1.429101e+00 1.204188e+01 5.270095e+00
##  [631] 1.033447e+01 2.751858e+01 1.509993e+01 5.804082e+01 5.896093e+00
##  [636] 7.841172e+00 4.486692e+00 9.586881e+00 3.820750e+00 1.903326e+01
##  [641] 2.124766e+01 1.102071e+01 1.407332e+01 2.787584e+01 5.115605e+00
##  [646] 1.222145e+00 1.767861e+01 4.674278e+00 5.324605e+00 3.094266e+00
##  [651] 9.345398e+00 4.454525e+01 1.514967e+01 2.114147e+01 1.166059e+01
##  [656] 1.616841e+01 6.224057e+00 9.368496e+00 2.519731e+01 8.974917e+00
##  [661] 2.602975e+01 6.170365e+00 1.662819e+00 7.222028e+00 5.466305e+00
##  [666] 2.282593e+01 7.057382e-01 2.367325e+00 5.494153e+00 2.683232e+01
##  [671] 7.831958e+00 1.080580e+01 1.883546e+01 1.645650e+00 2.404525e+01
##  [676] 2.314487e+01 5.246682e+00 1.136663e+01 1.792098e+01 3.799837e+01
##  [681] 2.944702e+01 7.672380e+00 4.871508e+00 1.625961e+00 5.311422e+00
##  [686] 6.058661e+00 1.462605e+01 1.014226e+01 7.603999e-01 8.780778e+00
##  [691] 7.962968e+00 1.577523e+01 2.689863e+01 1.806484e+00 3.016040e+00
##  [696] 3.081715e+00 1.207322e+01 1.797084e+01 4.983307e+00 3.094032e+00
##  [701] 2.558850e+01 1.746715e+00 1.435825e+01 2.454262e+01 9.305005e+00
##  [706] 2.686738e+01 4.583756e+00 1.009173e+01 1.897913e+01 3.342194e+00
##  [711] 1.802145e+00 5.281211e+00 1.538557e+01 3.100157e+01 3.237514e+00
##  [716] 6.977194e+01 2.484576e+01 4.296547e+00 1.122868e+00 1.491768e+01
##  [721] 6.923326e+00 4.629928e+00 2.262551e+00 2.869140e+01 4.963188e+01
##  [726] 2.337199e+01 9.133040e-01 1.480730e+01 4.068149e+00 5.234203e+00
##  [731] 8.856351e+00 6.848367e+00 1.012519e+00 1.631204e+01 6.568638e-01
##  [736] 1.466237e+01 7.252385e+00 2.363620e+01 2.875223e+00 3.232263e+01
##  [741] 3.677728e+01 1.019811e+01 6.047276e+01 9.640650e+00 1.192752e+01
##  [746] 2.128951e+00 1.699417e+01 1.125388e+01 2.802394e+01 1.176148e+01
##  [751] 2.997733e+00 1.064078e+01 1.697117e+00 3.744822e+01 2.294441e+01
##  [756] 5.450075e+00 7.840561e+00 2.573058e-01 1.625428e+00 7.706261e+01
##  [761] 1.843823e+01 6.867236e-01 2.068848e+00 3.346588e+01 1.869219e+01
##  [766] 4.873751e+00 2.554095e+01 2.923369e+00 7.310869e-01 4.956506e+01
##  [771] 5.405471e+00 1.302714e+01 1.309516e+00 5.703653e+00 2.955100e+00
##  [776] 1.124713e+01 1.514320e+01 2.403593e+01 5.047471e+00 1.500403e+00
##  [781] 9.560919e+00 5.653402e+00 1.182715e+00 1.293186e+01 3.591752e-01
##  [786] 7.578431e+00 6.305417e-01 2.412738e+01 2.522988e+00 6.494329e+00
##  [791] 5.602765e+00 8.133744e+00 1.657172e+00 4.977251e+01 1.283166e+01
##  [796] 1.322731e+00 2.704886e+01 1.773975e+01 4.430609e+00 3.208071e+01
##  [801] 2.419898e+01 1.388481e+01 8.308698e+00 1.753060e+01 6.697653e+00
##  [806] 8.562839e+00 1.153040e+00 3.428925e+01 7.346627e+00 1.252990e+01
##  [811] 2.970328e+00 1.476794e+01 8.419697e+00 3.017993e-01 1.169467e+01
##  [816] 1.954396e+00 2.816266e+00 9.734856e+00 5.946877e+00 8.253953e+00
##  [821] 8.342171e-01 1.082506e+01 1.038928e+01 3.711042e+00 2.421160e+00
##  [826] 8.726383e-01 2.338845e+00 4.871070e+01 6.109819e+01 1.724784e+01
##  [831] 4.864837e+01 3.064215e+01 9.953511e+00 1.795570e+01 8.087470e+00
##  [836] 1.025993e+01 1.993998e+01 2.053610e+00 1.891822e+01 2.182525e+01
##  [841] 1.260040e+01 2.229012e+01 1.578376e+01 2.725431e+00 4.456112e+00
##  [846] 7.764614e+00 1.426891e+01 1.566415e-01 1.126832e+01 2.750745e+01
##  [851] 1.565585e+00 5.060367e-01 3.138376e+00 1.383217e+01 8.760766e+00
##  [856] 1.714896e+01 1.034834e+01 7.167601e-01 5.337573e+00 1.338882e+00
##  [861] 2.219784e+01 5.524405e+00 2.148616e+00 1.131692e+01 6.547066e+00
##  [866] 1.246008e+01 3.457884e+00 8.263395e-01 1.601397e+01 1.081604e+01
##  [871] 7.151343e+00 7.212257e+00 1.489020e+01 1.463407e+01 3.492375e+00
##  [876] 4.294680e+00 1.891856e+01 2.706382e+00 3.738632e+01 8.842565e+00
##  [881] 1.612078e-02 9.289435e+00 2.371252e+00 5.660103e+00 5.125867e+00
##  [886] 2.973702e+01 2.266471e+01 3.117303e+01 7.461347e+00 2.286763e+01
##  [891] 4.953285e+01 1.144757e+00 1.216857e+01 2.554368e+01 5.592960e+00
##  [896] 1.532248e+01 1.222714e+01 9.324756e-01 7.532413e+00 4.018689e-01
##  [901] 1.971454e+00 7.937617e+00 5.000243e+01 6.376552e+00 1.142157e+01
##  [906] 7.488282e+00 1.669871e+00 3.795559e+00 2.126547e+01 2.033042e+00
##  [911] 1.186259e+01 1.534154e+01 2.012885e+01 4.555620e+01 1.457927e+01
##  [916] 1.659049e+01 2.301243e+01 4.927903e+00 5.350589e+01 5.549762e+00
##  [921] 5.028350e+01 3.452160e+00 2.241444e+01 3.418641e+00 8.318486e+00
##  [926] 1.425858e+01 2.059766e+01 3.957443e+01 6.564745e+00 1.221140e+01
##  [931] 1.269035e+00 4.231933e+00 9.629816e+00 4.156765e+01 1.339259e+01
##  [936] 7.359939e-01 1.505370e+01 1.160574e+01 4.381801e+00 9.979282e+00
##  [941] 1.504231e+01 2.598513e+00 1.802437e+01 2.573280e+01 2.269394e-01
##  [946] 6.897239e+00 1.353346e+01 4.886791e+01 5.906246e+00 4.372339e+01
##  [951] 9.013605e+00 7.497432e+00 3.060059e+00 3.133740e+00 1.508048e+01
##  [956] 1.121762e+01 4.931298e+00 1.205323e+01 2.748566e+01 2.193294e+00
##  [961] 2.175586e+01 5.792403e+00 1.042382e+01 3.340459e+00 2.533454e+01
##  [966] 1.064750e+00 1.295318e+01 1.650801e+01 1.519543e+01 2.612331e+00
##  [971] 1.290099e+01 8.368274e+00 4.792628e+01 3.717246e+01 1.554493e+00
##  [976] 2.617463e+00 4.192926e+00 1.662312e+01 3.705151e+00 1.483811e+00
##  [981] 8.677883e+00 2.586441e+01 7.897721e+00 6.505111e+00 3.884044e+00
##  [986] 6.844391e+00 8.292743e-01 9.611914e+00 5.333329e+00 1.342041e+01
##  [991] 1.468794e+01 3.354703e+01 5.146869e-01 2.557419e+01 3.092393e-01
##  [996] 3.409679e+00 6.841881e+00 1.552078e+01 3.248229e+00 1.006601e+01
## [1001] 2.681962e+00 1.411506e+00 3.661844e+01 5.886767e+00 2.445832e+01
## [1006] 3.755903e+00 5.379521e-01 3.202478e+00 2.821515e+00 9.992752e+00
## [1011] 2.111897e+01 1.210576e+01 1.183790e+01 3.483530e+01 6.146845e-01
## [1016] 2.323366e+00 5.810080e+00 6.927647e-01 8.794310e+00 7.011084e+00
## [1021] 4.060364e+00 2.266018e+01 5.112793e+00 2.928673e+01 1.534872e+01
## [1026] 5.188481e+00 2.990093e+01 9.425494e+00 2.518501e+01 2.683553e+01
## [1031] 3.017893e+00 1.399655e+00 3.038676e-01 9.133040e-01 1.443019e+01
## [1036] 1.359385e+00 1.138358e+01 2.876313e+01 6.718501e+00 2.318607e+01
## [1041] 3.734051e+00 9.957600e+00 8.579166e+00 2.487141e+00 7.424311e+00
## [1046] 1.058933e+00 4.462022e-02 6.418666e+01 7.604977e+00 6.771926e+00
## [1051] 3.066676e+00 7.769848e+00 6.898773e+00 2.947820e+00 3.335784e+00
## [1056] 1.400156e+01 4.353811e+01 2.052610e+01 1.186559e+01 1.291402e+01
## [1061] 4.940259e+00 5.315887e+00 1.899757e+01 2.427009e+00 9.409825e+00
## [1066] 1.016642e+01 3.688505e+00 9.656619e+00 5.110946e+00 2.720488e+00
## [1071] 1.731924e+01 2.639469e+01 3.063186e+00 8.302842e+00 1.692791e+01
## [1076] 8.068587e+00 1.370573e+01 1.226282e+01 3.473672e+00 4.244390e+00
## [1081] 1.954089e+01 8.300424e+00 2.177389e+01 4.047098e+01 4.845532e+00
## [1086] 4.432140e-01 9.091885e+00 2.337064e+00 7.093826e+00 4.542865e+00
## [1091] 1.219326e+01 8.356103e+00 9.810941e-01 3.122476e-01 5.336392e+00
## [1096] 6.475447e+00 4.165056e+00 2.461070e+01 4.421552e+01 1.142295e+01
## [1101] 2.823310e+00 1.177791e+01 8.445021e+00 5.928621e+00 1.050692e+01
## [1106] 3.842507e+00 2.665216e+01 1.867289e+00 1.909904e+00 2.788734e+00
## [1111] 1.796564e+00 4.601074e+00 3.018695e+01 1.856994e+00 1.611389e+01
## [1116] 4.122230e+00 9.877979e+00 7.609399e+00 1.859457e+01 1.624145e+01
## [1121] 1.783068e+01 2.891600e+00 1.832851e+01 1.357054e+01 1.701737e+01
## [1126] 1.512658e+01 1.184875e+01 2.450542e+00 9.905203e-01 2.110975e+00
## [1131] 1.393110e+00 1.516776e+01 7.792542e+00 2.864499e+01 9.467712e+00
## [1136] 1.974186e+01 4.580509e+00 2.216767e+00 5.467509e+00 3.334207e+00
## [1141] 2.746804e+00 4.139914e+01 1.563786e+00 2.096193e+00 3.085610e+00
## [1146] 2.925375e+00 2.874915e+01 2.786068e+01 4.490273e+00 7.927286e+00
## [1151] 1.864288e+01 6.804722e+00 1.246920e+01 1.447410e+01 4.472927e-01
## [1156] 2.721579e+01 9.233363e-01 3.636190e+00 3.366159e+01 3.576099e+01
## [1161] 3.945281e+01 2.008760e+01 1.065171e+01 6.114816e+00 5.238196e-01
## [1166] 1.018723e+01 4.293452e+01 4.040389e+00 2.581268e+01 8.073274e+00
## [1171] 1.762848e+01 3.741075e+00 8.110745e+00 8.684870e+00 1.769108e+01
## [1176] 6.323722e+00 1.886444e+01 1.142398e+01 1.396895e+00 1.953825e+01
## [1181] 1.084458e+00 1.455797e+01 1.357958e+01 1.084554e+01 3.832055e+01
## [1186] 1.836586e+00 3.886799e+00 6.825556e+00 3.548887e+00 1.854527e+01
## [1191] 1.175636e+01 1.565391e+00 9.493608e+00 4.207044e+00 1.788643e+01
## [1196] 1.626386e+01 1.040698e+01 9.694433e+00 1.966451e+01 2.991297e+01
## [1201] 2.500491e+00 1.559489e+01 9.519815e+00 1.895685e+01 3.464222e-01
## [1206] 8.780872e+00 6.280183e+01 1.885926e+01 2.366407e+00 2.606393e+00
## [1211] 1.590273e+00 1.203547e+01 7.018581e+01 9.272379e-01 1.854103e+00
## [1216] 1.630244e+01 5.500350e+00 1.780554e+00 1.863244e+00 2.159979e+00
## [1221] 1.749636e+01 2.697690e+00 6.195372e+00 9.771505e+00 6.298997e+00
## [1226] 6.783245e+00 2.381181e+01 4.032729e+01 9.121431e+00 1.353659e+00
## [1231] 1.690194e+01 3.905750e+00 6.817006e+00 6.350716e+00 4.141687e+00
## [1236] 3.009336e+01 8.073877e+00 2.094864e+01 5.369855e+01 1.184431e+01
## [1241] 9.262537e+00 7.806273e+00 1.062940e+00 2.525615e+00 1.553145e+01
## [1246] 3.979087e+00 6.422383e+00 5.254968e-01 1.525413e+01 4.074503e-01
## [1251] 4.724138e+00 5.466861e+00 2.881747e+01 1.537909e+01 1.279017e+00
## [1256] 1.077785e+01 3.110028e+01 4.417136e+01 3.458549e+00 2.591709e+01
## [1261] 3.116203e+00 1.328163e+01 1.398215e+01 5.243133e+00 2.101599e+01
## [1266] 2.418200e+01 5.994007e+00 9.808808e+00 2.479466e+01 1.014628e+01
## [1271] 4.841992e+01 5.075663e+00 8.181302e+00 2.245316e+00 1.683991e+01
## [1276] 3.622077e+00 1.368692e+00 1.788785e+01 1.900876e+01 4.234734e+00
## [1281] 1.490788e+00 1.506431e+01 3.698372e-01 4.889346e+00 2.199997e+01
## [1286] 1.335618e+01 4.043374e+01 1.928069e+01 3.201347e+01 9.764874e+00
## [1291] 1.491538e+01 3.219811e+00 4.969527e+00 1.196665e+01 1.339811e+00
## [1296] 1.403275e+01 1.082422e+01 1.025197e+01 1.562923e+01 1.034903e+00
## [1301] 2.188807e+00 3.770951e-01 1.932416e+01 9.867572e+00 7.698717e+00
## [1306] 4.061657e+01 1.193611e+01 8.217886e+00 3.670779e+01 7.004951e+00
## [1311] 7.250945e-02 8.552178e+00 8.291581e+00 5.913970e+00 8.991243e+00
## [1316] 5.901928e+00 4.117979e+00 2.115259e+01 4.073195e+00 6.496785e+00
## [1321] 4.460216e+00 2.192859e+00 1.567488e+01 1.695695e+01 7.683947e+00
## [1326] 5.201291e+00 6.919796e+00 4.365552e+01 2.138659e+01 2.367575e+00
## [1331] 2.843595e+01 4.975583e+00 1.528051e+00 9.892546e+00 1.513649e+01
## [1336] 4.145476e+00 2.020478e+01 2.581168e+01 3.088957e+01 3.358203e+00
## [1341] 1.537018e+00 1.098352e+01 9.086200e+00 3.180019e+00 7.938188e+00
## [1346] 4.099162e+01 1.837161e-01 1.533466e+00 3.926148e+00 1.191977e+01
## [1351] 1.035948e+01 4.683585e+01 6.270035e-01 3.529885e+00 6.744767e+00
## [1356] 1.071325e+01 1.021150e+01 1.964979e+00 2.828641e+00 1.265933e+01
## [1361] 3.899402e+01 1.048265e+00 4.327091e+00 4.490950e+01 2.027956e+01
## [1366] 1.273930e+00 1.688961e+01 7.842395e+00 8.735036e+00 1.358919e+01
## [1371] 3.086417e+00 6.623833e-01 2.098146e+01 9.263706e-01 2.948628e+01
## [1376] 1.828683e+01 1.656475e+01 1.981299e+00 5.149300e+00 9.724046e+00
## [1381] 2.905683e+00 5.346253e+00 2.289628e+01 1.649172e+00 4.116752e+00
## [1386] 2.707929e+00 6.155726e+01 1.408334e+01 3.302914e+00 2.630568e+00
## [1391] 7.639012e+00 2.663022e+01 2.084629e+00 4.681679e+00 6.789155e-01
## [1396] 1.405480e+01 4.763338e+00 1.023757e+01 2.815815e+01 8.686434e+00
## [1401] 1.297932e+00 4.630035e+01 2.490133e+01 3.273441e+00 5.207371e+00
## [1406] 6.644698e+00 2.700934e+01 3.191299e+01 7.664418e+00 3.598528e+00
## [1411] 1.964517e+01 1.407704e+00 2.703982e+01 1.589494e+00 1.385722e+01
## [1416] 1.218334e+01 7.767993e+00 9.870809e+00 5.519480e+00 8.630912e+00
## [1421] 2.014884e+01 5.129703e+00 2.064988e+01 8.934422e+00 1.167387e+01
## [1426] 3.943247e+00 5.473233e+00 1.714463e+00 1.708434e+00 1.037695e+01
## [1431] 1.159637e-01 6.688761e-02 1.161296e+00 1.493234e+00 7.064645e+00
## [1436] 2.325006e+01 5.056764e+00 1.576992e+00 5.344436e+01 8.651408e+00
## [1441] 1.602719e+01 2.479383e+01 1.084486e+00 3.489429e+00 5.071431e+00
## [1446] 2.331271e+01 1.131338e+01 2.210526e+01 1.393226e+01 2.013645e+01
## [1451] 5.647731e+01 8.377054e-01 1.113935e+01 1.919474e+00 7.912195e+00
## [1456] 1.237944e+01 1.465468e+01 2.536558e+00 9.226631e+00 6.009022e+00
## [1461] 7.092927e+00 1.507131e+01 5.047541e+01 7.684951e-01 2.541926e+01
## [1466] 3.902519e+00 1.676206e+01 8.000515e+00 8.887873e+00 3.616593e+01
## [1471] 7.301239e+00 1.265052e+01 1.758116e+01 6.566710e+00 5.446628e+00
## [1476] 8.511077e+00 3.394933e+00 9.956043e+00 1.656686e+00 3.433023e+01
## [1481] 3.199942e+01 1.644094e+01 3.944899e+01 4.303206e+01 2.119747e+00
## [1486] 1.246639e+01 9.723985e+00 1.169230e+01 1.921399e+01 8.534138e+00
## [1491] 1.233970e+00 3.026203e+00 8.657134e+00 4.972170e+00 5.817725e+00
## [1496] 8.910873e+00 1.742875e+00 5.892472e+00 2.450702e+00 1.824509e+01
## [1501] 5.539687e+00 1.142530e+01 4.025231e+00 1.372667e+01 1.315114e+00
## [1506] 9.259466e+00 1.755139e+01 2.185182e+01 1.272200e+01 1.216287e+01
## [1511] 6.497697e+00 3.239740e+00 6.584728e+00 2.180505e+01 1.534508e+01
## [1516] 6.450839e-01 7.040426e-01 4.570081e+00 3.958885e+00 1.075528e-02
## [1521] 7.646352e-01 6.773378e+00 6.748890e+00 1.939358e+01 5.514209e+00
## [1526] 6.228070e+00 3.859668e+00 3.242131e+00 9.939802e+00 1.955381e+01
## [1531] 4.679059e-01 1.613407e+01 7.853207e+00 1.514301e+00 9.917677e+00
## [1536] 1.924797e+01 1.192708e+01 8.001641e+00 5.379054e+01 1.115598e+01
## [1541] 2.949467e+01 7.752170e+00 1.160657e+01 8.576373e+00 4.741479e+01
## [1546] 2.783701e+01 1.367126e+01 6.273809e+00 5.838759e+00 3.171020e+01
## [1551] 1.191141e+00 1.557864e+00 4.434060e+00 1.477228e+01 1.103719e+00
## [1556] 7.121470e+00 3.056241e+00 3.291304e+01 2.306681e+01 8.210650e+00
## [1561] 1.478284e+01 1.057060e+01 1.974534e+01 1.044143e+00 3.323101e+00
## [1566] 2.250407e+01 3.948208e+00 2.886205e-01 5.798876e+00 1.247039e+01
## [1571] 2.829945e+01 5.766271e+00 2.120226e+01 2.075650e+00 9.589608e+00
## [1576] 6.317166e+00 2.368717e-01 1.801513e+01 3.852844e+01 4.069642e+00
## [1581] 5.910652e+00 1.700390e+01 5.116661e+00 1.064451e+01 4.730792e+01
## [1586] 2.165755e+01 2.168803e+00 1.972384e+00 2.683378e+01 7.254809e+00
## [1591] 9.421539e-02 1.965256e+01 5.021008e+00 3.742708e+01 3.772105e+00
## [1596] 1.890609e+01 2.174813e+01 1.482821e+01 4.424509e+00 1.624694e+01
## [1601] 1.011884e+00 8.577149e+00 2.053824e+01 7.173137e+00 1.830478e+01
## [1606] 2.724594e+01 4.506060e+01 1.218124e+01 1.124355e+01 2.331163e+00
## [1611] 5.503439e+00 1.717036e+01 1.012853e+00 2.021142e+00 3.800242e+00
## [1616] 1.614209e+00 8.948657e+00 3.128226e+00 2.338916e+01 3.469354e+00
## [1621] 2.856922e+00 2.588438e+01 1.839222e+00 3.805019e+00 1.598878e+00
## [1626] 8.728018e-01 6.477715e+00 2.068396e+01 2.593724e+01 3.547247e+00
## [1631] 1.396223e+01 4.400631e+00 1.520212e+00 3.090917e+01 5.652798e+01
## [1636] 2.788550e+01 3.248797e+01 2.132917e+01 6.882725e-01 5.647536e+00
## [1641] 2.581368e+01 1.026266e+01 9.302958e+00 5.582148e+00 1.071740e+01
## [1646] 3.922690e+00 1.432106e+01 4.102165e+00 1.612855e+01 5.071686e+00
## [1651] 9.809412e+00 5.728907e+00 1.798115e+00 4.840175e+01 1.372711e+01
## [1656] 1.167317e+01 5.441641e-01 2.752081e+01 5.576083e+00 1.821870e+01
## [1661] 4.856941e+00 5.225982e+01 6.829370e+00 9.214218e-01 4.184358e+00
## [1666] 1.165390e+01 1.600443e+00 3.688938e+00 1.002943e+01 1.153785e+00
## [1671] 8.458331e+00 2.708568e+01 6.303567e+00 2.552851e+00 1.230147e+01
## [1676] 4.907708e+00 3.218710e+00 7.856329e+00 3.694509e-01 3.239598e+00
## [1681] 1.488903e+01 5.245604e+00 1.007782e+00 6.958365e+00 1.977734e+01
## [1686] 2.496847e+00 1.548438e+00 4.666639e+00 7.539448e+00 1.139505e+01
## [1691] 3.029825e-01 5.797964e+00 3.376250e+00 5.116011e+00 4.800026e+00
## [1696] 5.956151e+00 8.886453e+00 9.575205e+00 2.378405e+01 2.255326e+00
## [1701] 3.535921e+01 7.241694e+00 1.576855e+01 1.156070e+01 5.899593e+00
## [1706] 6.806604e+00 2.455133e+01 3.602852e+01 6.426582e+00 3.673185e+00
## [1711] 2.924486e-02 3.448897e+00 3.197524e+01 5.114233e+01 2.218095e+00
## [1716] 2.077170e+01 2.184319e+00 3.645560e-01 3.204183e+00 9.906115e-01
## [1721] 3.695357e+01 2.101313e+01 4.737065e+01 1.503344e+01 5.022651e+00
## [1726] 3.738133e+00 8.989203e+00 5.205748e+00 9.922154e+00 7.254070e+00
## [1731] 3.101265e+00 2.564238e+00 5.560660e+00 4.680206e+00 1.085978e+01
## [1736] 5.238774e+00 5.211453e+00 3.916229e+00 4.874208e+00 2.312857e+01
## [1741] 2.353877e+00 6.412093e+00 1.740276e+01 5.688990e+00 5.523726e+00
## [1746] 1.647881e+01 1.788036e+01 9.097592e+00 1.390151e+01 1.635273e+00
## [1751] 1.470279e+01 2.414645e+01 8.463693e-01 1.483843e+01 5.277501e-01
## [1756] 2.064488e+01 3.680686e+00 3.512502e+01 8.697502e+00 1.629194e+00
## [1761] 2.664600e-01 8.984201e+00 2.278017e+01 5.906301e+00 9.876942e+00
## [1766] 4.064680e-01 8.884189e+00 6.413038e+00 1.484397e+01 9.689275e+00
## [1771] 2.785548e+01 7.316709e-03 9.500006e+00 8.012058e+00 4.349089e+01
## [1776] 1.748610e+01 2.293418e+01 2.440575e+01 1.119896e+01 1.780010e+01
## [1781] 3.863659e+00 2.037921e+00 1.283290e+01 7.534957e+00 9.910596e+00
## [1786] 8.300185e+00 1.778963e+01 5.582936e-01 4.323239e+00 2.439492e+01
## [1791] 3.155127e+00 2.225176e+01 3.820983e+00 5.632630e+00 1.523680e+01
## [1796] 4.004405e+00 3.428643e+00 3.860685e+01 2.295679e+01 3.378457e+01
## [1801] 3.530536e+00 1.919489e+01 1.579828e+01 5.340214e+00 3.601883e+01
## [1806] 8.171024e+00 3.193654e+00 3.509943e+00 1.510094e+01 2.484994e+01
## [1811] 6.059524e+00 9.010227e+00 1.384588e+01 2.564123e-01 1.496255e+01
## [1816] 2.725944e+01 1.436698e+01 3.227039e+00 9.748528e+00 4.475863e-01
## [1821] 8.197392e+00 1.652045e+01 5.219665e+00 5.667618e+00 1.179407e+00
## [1826] 3.400229e+01 1.147194e+01 3.856219e+00 1.501106e+01 1.105756e+01
## [1831] 4.873138e+00 6.410018e+00 4.628569e+00 7.876721e-01 1.899713e+01
## [1836] 3.324978e+00 2.848168e+01 3.953536e+00 2.209248e+01 5.528805e+00
## [1841] 2.751049e+00 3.371436e+01 1.018196e+01 1.904763e+01 6.174201e-01
## [1846] 7.883420e+00 1.681414e+01 7.672399e+00 1.744251e+01 4.258275e+00
## [1851] 1.739891e+01 1.219488e+00 1.631110e+00 1.947082e+01 3.687573e-01
## [1856] 3.524760e+00 1.073068e+01 1.038229e+00 7.676139e+00 1.798048e+01
## [1861] 1.578304e+01 2.102398e+01 2.017362e+00 1.119723e+01 1.765864e+01
## [1866] 4.698220e-01 7.050862e+00 8.110256e+00 1.830568e+00 1.777935e+01
## [1871] 3.094094e+01 1.095630e+01 4.240929e+00 2.432849e+01 1.527385e+01
## [1876] 7.268475e+00 1.727523e+01 4.083353e+00 2.666322e-01 1.819672e+01
## [1881] 3.614780e+01 1.913393e+01 4.194734e+01 7.298565e-01 8.064197e+00
## [1886] 4.186188e+01 2.825440e+00 1.195146e+01 3.341283e+00 1.690887e+01
## [1891] 1.125158e+01 1.993983e+00 6.220710e+00 1.240875e+00 4.506895e+00
## [1896] 1.413845e+01 6.372192e+00 5.674735e+01 5.424954e-01 7.177110e+00
## [1901] 2.455127e+01 1.485929e+01 1.017187e+00 5.862074e+00 1.231772e+01
## [1906] 1.191370e+01 1.061598e+01 3.801264e+01 2.556835e+00 1.633612e+01
## [1911] 3.802077e+01 3.302857e+00 3.147424e+00 5.883941e+01 7.600902e+00
## [1916] 2.065033e+00 4.385913e+00 5.139785e+00 9.762820e+00 4.164325e+00
## [1921] 1.057566e+01 1.705099e+00 3.616239e+01 7.605356e-01 7.578441e+00
## [1926] 2.478352e-01 4.474087e+00 3.048970e+00 1.033251e+01 1.613739e+00
## [1931] 4.997232e+00 1.397226e+01 5.928084e+00 8.357781e+00 1.117670e+00
## [1936] 4.212344e+00 4.348482e+01 8.330877e+00 1.100520e+01 3.881377e+00
## [1941] 3.180328e+01 2.369420e+00 1.115370e+01 1.091808e+01 2.358743e+00
## [1946] 7.600591e+00 2.235590e+01 2.052891e+01 2.616477e+01 2.572872e+00
## [1951] 3.514973e+00 3.208439e+01 2.166680e+00 2.055790e+01 4.240496e+01
## [1956] 2.327394e+01 7.910222e+00 5.003374e+01 1.118101e+01 1.299344e+01
## [1961] 4.061381e-01 5.760959e+00 2.828307e+00 2.438749e+01 2.085370e-01
## [1966] 3.496994e+01 3.305236e-01 8.395591e+00 7.505987e+00 2.581779e+01
## [1971] 4.970542e+01 2.310151e+00 3.762950e+00 2.476285e+01 5.174069e+00
## [1976] 8.731213e-01 4.014061e+01 7.745157e+00 8.437597e+00 5.147744e-01
## [1981] 1.201339e+01 3.014891e+01 1.048137e+00 2.590393e+00 2.521388e+00
## [1986] 3.531502e+00 1.041615e+01 7.730290e+00 1.634994e+01 5.895273e-01
## [1991] 1.085664e+01 3.656084e+00 4.733466e+00 1.628913e+01 7.118644e+00
## [1996] 3.056090e+00 1.741141e+00 4.230151e+00 5.619116e+00 3.664660e+00
## [2001] 2.449930e+01 5.736901e-02 3.016473e+01 8.090275e+00 1.300945e+00
## [2006] 2.482006e+00 7.472664e+00 8.940548e+00 3.661069e+01 1.791112e+01
## [2011] 3.318815e+01 2.147449e+01 1.613885e+00 4.615216e+00 4.643194e+00
## [2016] 1.005088e+01 1.067549e+01 1.150039e+01 8.342712e-01 2.577777e+00
## [2021] 1.049533e-01 1.058569e-01 1.012717e+01 1.664512e+01 2.127852e+00
## [2026] 1.763686e+01 1.502209e+00 1.549512e+01 2.839414e+00 8.182335e+00
## [2031] 1.015401e+01 1.173664e+00 1.909622e+00 1.068921e+00 3.612266e+00
## [2036] 1.348177e+00 5.892172e+00 1.279198e+01 1.509730e+01 1.322287e+01
## [2041] 2.947011e+00 2.006714e+01 2.109105e+01 3.866922e+01 2.454395e+00
## [2046] 5.320304e+00 1.992549e+00 6.353627e-01 1.329857e+01 2.832516e+01
## [2051] 1.696124e+01 1.387978e+01 2.403516e+00 1.678647e+01 2.793173e+01
## [2056] 8.361562e+00 1.815953e+01 1.408327e+01 1.811062e+01 1.631920e+00
## [2061] 1.024330e+00 2.035007e+01 5.393670e-01 2.200369e+01 4.025715e+00
## [2066] 3.680399e+00 2.011087e+01 2.054974e+01 1.161046e+01 6.476090e+00
## [2071] 1.547768e+01 3.124723e+00 1.612588e+01 1.385652e+01 2.900517e+00
## [2076] 3.959860e+00 1.020052e+01 1.588102e+01 1.067613e+01 5.890862e+00
## [2081] 2.193489e+01 2.523663e+01 2.794295e+01 6.840014e+00 5.116393e+00
## [2086] 2.592096e+01 2.005229e+01 1.451655e+01 9.409160e+00 5.790281e+01
## [2091] 4.264073e+00 8.043735e+00 4.861785e-01 1.483888e+01 1.827097e+00
## [2096] 1.796169e+01 8.597791e+00 1.134469e+01 5.162827e+00 2.274877e+01
## [2101] 1.828494e+01 1.778679e+00 4.014477e+01 1.218400e+01 1.445282e+01
## [2106] 2.967655e+01 4.398694e+00 6.950531e+00 1.563899e+01 1.577094e+00
## [2111] 2.685527e+01 1.281333e+01 1.701251e-01 5.483178e+00 3.663625e+00
## [2116] 7.601395e+00 8.464735e+00 1.229303e+01 1.087280e+01 2.618742e+00
## [2121] 1.462552e+00 5.715006e+00 5.385638e+00 7.917593e-01 5.243574e-01
## [2126] 2.311179e+01 5.555164e+00 9.505203e+00 9.660205e+00 1.907194e+01
## [2131] 4.960163e+00 1.568126e+00 3.032977e+01 1.448170e+00 2.766242e+00
## [2136] 1.162078e+00 1.520533e+01 1.631784e+01 5.603030e+00 1.915379e+01
## [2141] 1.433799e+00 3.189136e+01 2.962799e+00 8.623659e+00 1.228653e+01
## [2146] 4.798317e+00 1.032586e+01 3.007663e+00 2.884413e+00 3.566828e+00
## [2151] 1.805745e+01 4.599127e-01 2.024673e+00 2.832831e+01 5.493661e+00
## [2156] 2.737597e+00 4.101498e+00 1.053218e+01 1.362505e+01 3.145591e+00
## [2161] 1.646834e+00 8.514987e+00 1.104803e+01 4.412622e+00 3.900772e+00
## [2166] 9.210511e+00 3.509065e+00 1.629626e+00 2.912567e+00 8.029599e+00
## [2171] 7.391241e+00 1.913858e+01 2.893320e+01 6.694335e+00 3.636663e+00
## [2176] 3.946116e+00 4.180688e+00 6.497845e+00 1.406745e+01 2.766387e-01
## [2181] 1.765587e+01 1.249976e+01 1.178177e+01 4.920377e+01 2.690725e+00
## [2186] 1.051812e+00 1.832913e+01 4.359453e+00 1.253092e+00 8.705956e+00
## [2191] 2.464161e+00 2.363317e+01 2.399613e+01 1.309438e+01 1.740684e+01
## [2196] 3.189597e+00 6.834920e+00 3.330665e+01 1.828872e+01 1.346520e+00
## [2201] 4.901358e+00 1.189581e+01 1.206586e+01 6.640850e+00 1.053341e+01
## [2206] 5.046236e+00 9.843882e+00 1.936607e+00 2.994275e-01 2.308117e+00
## [2211] 6.673791e-01 1.647958e+01 1.980828e+01 9.728632e+00 4.515196e+00
## [2216] 2.594408e+01 1.521557e+00 2.571320e+01 4.891722e-01 2.000220e+01
## [2221] 1.940049e+00 5.074001e+00 9.773247e+00 4.419019e+01 3.924483e+00
## [2226] 2.790318e+01 4.856468e+01 1.804044e+00 2.583936e+00 5.963429e+01
## [2231] 5.848800e+00 3.923333e+01 8.813819e+00 6.411377e+00 2.240409e+01
## [2236] 1.010016e+01 7.630618e+00 1.055020e+00 4.007843e+01 3.862772e+01
## [2241] 1.745646e+01 4.179318e+01 4.078489e-01 2.686574e+01 6.629650e+00
## [2246] 1.831804e+00 2.333679e+01 1.197738e+01 1.155716e+01 7.326323e+00
## [2251] 6.445337e+00 1.268132e+01 2.697263e+00 1.236830e+01 3.086407e+00
## [2256] 1.667385e+01 4.712840e+00 5.146770e+01 1.990041e+01 1.965575e+01
## [2261] 5.417391e+00 1.896070e+01 2.205649e+00 3.846932e+00 2.660853e-01
## [2266] 1.353215e+00 2.391191e+01 1.284130e+00 9.958722e+00 1.163128e+01
## [2271] 3.846992e+01 6.088466e+00 1.604615e+00 5.287798e+01 1.075396e+01
## [2276] 4.869204e-01 5.065198e+00 2.099647e-01 1.575522e+01 1.582045e+01
## [2281] 1.697368e+01 9.743403e-01 2.587777e+01 2.423051e+01 6.424892e+00
## [2286] 1.659031e+01 1.126896e+00 6.052252e+00 2.417735e+00 3.235811e+01
## [2291] 7.829345e+00 5.717975e+00 7.000649e-01 9.508948e+00 1.236013e+01
## [2296] 1.014047e-01 4.928261e+00 3.571665e+01 7.740613e+00 1.384555e+00
## [2301] 7.101124e+00 2.026898e+00 1.542912e+01 3.974227e+00 1.096722e+01
## [2306] 7.007302e+00 1.269665e+01 8.675600e+00 5.839416e+01 1.457403e+01
## [2311] 2.386238e+00 1.259146e+01 2.151082e+01 1.124934e+00 1.136743e+01
## [2316] 1.573238e+01 7.861553e+00 3.055520e+00 4.593314e+00 1.927843e-01
## [2321] 4.450795e+01 3.525579e+00 2.952184e+00 1.230038e+01 4.977712e+01
## [2326] 6.369729e-01 9.122487e-01 1.895999e-01 6.907774e+00 7.430453e+00
## [2331] 1.089767e+02 3.250384e+01 8.035821e+00 1.688853e+01 6.165114e+00
## [2336] 5.021096e-01 1.619097e+01 1.606159e+01 1.905368e+00 1.079628e+00
## [2341] 9.511765e+00 7.881188e+00 6.437041e-01 1.254641e+01 8.418997e+00
## [2346] 8.357301e+00 6.798430e+00 2.131902e+01 2.359294e+00 4.597993e+00
## [2351] 2.276231e+00 5.471836e+01 3.786739e+01 2.075372e+01 3.818965e-01
## [2356] 4.557248e+00 3.336535e+00 1.133630e+00 3.041664e+00 7.743600e+00
## [2361] 1.771701e+01 2.339237e+00 8.340307e-01 9.686314e+00 7.331158e-01
## [2366] 1.139550e+01 2.416850e+00 1.212209e+00 4.300327e+00 1.180179e+01
## [2371] 1.085023e+01 2.247540e+00 7.372719e+00 1.043220e+01 1.817971e+01
## [2376] 6.891273e-02 2.943615e-01 8.700635e+00 8.792540e+00 6.108442e+00
## [2381] 1.011679e+01 1.594780e+01 2.398699e+01 6.398073e+00 5.834519e+00
## [2386] 1.335142e+01 1.506252e+01 4.105382e+00 1.002094e+00 2.854881e+00
## [2391] 1.031963e+01 6.635558e+00 6.047709e+00 4.235578e+00 1.241267e+00
## [2396] 2.348653e+00 4.120128e+00 2.627324e+01 1.342295e+00 2.281539e+01
## [2401] 1.054773e+01 8.184099e+00 2.432581e+01 1.985258e+00 1.533835e+01
## [2406] 1.098519e+01 1.449994e+01 1.963686e+01 1.706041e+01 1.933423e+00
## [2411] 1.780185e+01 2.402719e+01 1.271692e+01 9.081012e+00 5.318064e+00
## [2416] 4.691796e+00 7.061009e+00 9.492326e+00 2.210334e+01 1.289707e+01
## [2421] 9.397670e+00 3.139238e+00 2.809836e+00 4.402174e-01 3.545188e+01
## [2426] 5.832778e+00 8.218284e+00 4.013135e+01 3.145592e+00 5.215473e+00
## [2431] 4.380599e+00 1.073727e+01 1.084368e+01 8.721032e+00 2.126993e+00
## [2436] 1.796633e+01 1.805712e+00 1.651579e+01 2.798334e+01 1.311064e+01
## [2441] 4.119322e+00 7.493889e+00 3.718381e+00 1.363357e+01 1.329477e+01
## [2446] 1.340575e+01 2.075483e+00 3.984861e-01 2.244353e+00 6.913739e+00
## [2451] 2.016047e+01 1.222486e+01 5.294238e+00 7.029836e+00 1.721913e+00
## [2456] 3.639133e+01 1.012531e+01 1.193528e+01 3.496334e+00 8.334004e+01
## [2461] 9.457584e+00 7.907312e+00 5.305426e+00 4.333341e+00 1.475912e+01
## [2466] 2.242179e+01 1.881884e+01 1.786133e+01 4.087123e+01 5.658214e+01
## [2471] 5.246317e+01 2.546661e+00 1.751643e+01 2.612226e+01 2.369670e+00
## [2476] 2.470285e+01 1.149319e+01 8.442360e-02 2.211641e+01 9.897828e+00
## [2481] 1.800943e+01 1.803897e+01 5.760374e+00 1.672592e+00 1.233347e+00
## [2486] 1.166065e+01 4.481495e+01 1.802884e+01 8.819912e+00 4.905241e+00
## [2491] 1.651054e+01 3.990069e+01 3.622211e+00 4.554229e-02 6.873085e+00
## [2496] 1.128637e+00 1.393837e+01 4.110923e+01 1.673018e+01 7.832929e+00
## [2501] 1.558635e+01 1.218718e-01 1.250019e+01 2.972162e+00 1.861527e+00
## [2506] 1.960285e+01 1.016243e+01 1.810162e+01 1.595239e+01 1.793321e+00
## [2511] 1.258084e+00 1.312704e+01 3.634695e+00 1.021747e+01 3.534971e+01
## [2516] 1.161147e+00 1.169572e+01 1.013770e+01 3.011355e+01 7.131307e+00
## [2521] 2.137861e+01 7.231428e+00 3.545688e+01 6.834203e+00 1.428402e+01
## [2526] 1.102023e+01 2.671261e+00 2.472907e+00 1.947948e+00 5.656301e+00
## [2531] 1.550234e+01 1.393708e+01 1.111272e+01 9.191279e+00 3.865200e+00
## [2536] 6.486517e+01 3.605399e+00 3.657846e-01 8.799745e+00 3.600937e+00
## [2541] 1.424835e+01 4.847130e+01 2.732132e+01 7.924879e+00 5.623063e+00
## [2546] 3.974920e+01 5.401829e+00 5.175783e+01 2.891791e+00 1.545090e+00
## [2551] 1.792698e-01 8.670097e+00 1.354533e+01 1.014095e+01 2.287677e+01
## [2556] 3.132245e+00 5.445161e+01 1.853849e+01 2.248360e-01 1.265169e+01
## [2561] 1.723942e+00 4.194798e+00 3.170810e+01 8.417734e+00 7.271764e+00
## [2566] 1.431188e+01 3.135327e+00 6.284432e+00 1.945921e+01 1.843141e+01
## [2571] 1.055732e+01 1.513340e+01 5.328717e-01 2.061556e+00 1.115342e+01
## [2576] 1.358112e+01 4.532501e+00 8.374912e+00 1.497859e+01 3.502230e+00
## [2581] 1.385054e+01 9.790161e+00 2.134375e-01 8.330295e+00 1.863524e+00
## [2586] 2.603981e+01 3.608753e+00 3.569206e+01 1.194536e+01 2.679399e+00
## [2591] 1.143784e+01 2.808876e+00 7.452671e-01 1.068591e+01 7.408449e-01
## [2596] 1.451466e+01 8.286021e+00 4.162889e+00 7.222779e+00 3.910973e+01
## [2601] 8.883122e+00 2.370319e+01 7.587548e+00 8.236196e+00 7.987353e+00
## [2606] 9.310731e+00 4.456016e+01 3.134411e+00 5.953398e+00 1.361723e-01
## [2611] 1.381999e+01 1.118918e+01 1.357878e+01 1.373573e+01 9.275805e-01
## [2616] 3.656824e+00 1.568154e+01 1.992043e+00 4.698563e+00 3.500206e+00
## [2621] 3.278494e+00 2.171867e+01 2.837408e+01 1.581201e+00 7.607745e+00
## [2626] 6.232775e+00 1.723775e+00 1.430805e+00 1.417753e+01 9.347740e-01
## [2631] 7.469878e+00 4.768431e+00 2.121447e+00 1.113401e+01 5.924097e+00
## [2636] 2.433917e+01 1.004497e+01 1.194403e+00 5.603431e+00 1.028055e+00
## [2641] 1.017751e+00 4.875643e+00 3.635623e+00 6.268971e+00 9.795569e+00
## [2646] 2.336480e-01 1.392305e+01 1.331228e+01 4.448550e+01 6.213453e+00
## [2651] 1.976689e+01 2.865653e+01 4.966498e+01 3.535960e+00 1.703283e+01
## [2656] 7.649232e+00 5.203361e+00 1.610276e+01 2.142706e+01 5.446490e+01
## [2661] 1.268110e+01 2.281525e+01 1.496221e+00 2.115105e+00 9.842048e+00
## [2666] 2.299497e+00 5.164355e+00 2.609230e+00 1.591206e+01 2.069803e+01
## [2671] 4.837643e+01 1.948732e+01 2.077978e+00 1.700477e+01 5.071099e+00
## [2676] 5.367167e+00 7.125208e+00 2.791675e+00 1.081770e+01 1.875385e+01
## [2681] 9.544353e+00 2.412058e+01 2.096044e+01 1.955041e+00 8.869795e+00
## [2686] 1.426830e+01 1.524934e+00 1.994809e+01 4.099256e+00 4.361933e+01
## [2691] 5.693493e+01 3.952020e+00 2.436965e+01 1.474464e+01 1.994788e+01
## [2696] 5.005259e+00 2.754021e+00 3.414478e+01 8.973666e+00 1.273294e+01
## [2701] 4.777990e+01 1.271056e+01 6.800669e+00 5.789046e+00 7.588107e+00
## [2706] 3.453132e+01 1.517164e+01 2.227781e+01 1.696222e+01 1.700958e+01
## [2711] 2.979858e+00 4.806567e-02 9.917253e+00 1.783412e+01 3.799557e+00
## [2716] 5.184076e+00 4.971760e+00 3.521233e+00 1.660601e+00 3.549285e+01
## [2721] 1.974758e+01 4.853941e+00 5.761882e+00 1.123675e+01 4.771990e+01
## [2726] 1.545362e+00 1.137041e+00 1.908971e+00 6.628330e+00 1.727114e+01
## [2731] 2.378218e+01 3.641736e+00 2.920799e+00 1.637796e+01 1.890950e+01
## [2736] 2.229235e+01 8.793983e+00 6.315751e+01 2.541471e+00 4.219029e+00
## [2741] 3.599897e+00 6.105043e+00 9.615861e+00 4.476245e+00 5.593748e+00
## [2746] 5.858458e+00 2.529478e+01 3.982718e-02 5.361784e+00 1.145894e+01
## [2751] 7.767881e-01 4.191708e+00 7.851402e-01 5.069771e+00 8.045319e+00
## [2756] 1.517214e+01 2.332933e+01 8.720760e+00 3.553525e+01 6.884031e-01
## [2761] 2.178295e+00 1.975517e+00 1.976155e+00 3.009827e-01 2.572293e+01
## [2766] 3.830226e+00 5.630837e+00 1.821438e+01 1.032738e+01 6.064865e+00
## [2771] 1.190644e+01 1.433731e+01 3.438859e+01 2.867988e+00 7.455464e+00
## [2776] 7.003778e+00 6.761927e+00 7.689310e-01 2.605808e+01 7.914590e+00
## [2781] 1.276746e+00 1.374500e+00 5.624861e+00 1.496368e+01 7.407596e+00
## [2786] 3.468369e+00 2.062225e+01 5.396181e+00 3.112764e+01 3.345474e+01
## [2791] 4.636727e+00 2.240506e+01 7.108712e+00 6.979181e+00 3.156198e+00
## [2796] 5.078272e-01 2.958102e+00 1.557913e+01 8.100183e-01 1.289623e+00
## [2801] 5.236263e+00 1.956361e+01 9.612327e+00 7.995294e+00 1.015361e+01
## [2806] 3.261279e+00 1.302621e+01 2.630375e+01 1.308211e+01 9.127805e+00
## [2811] 1.071824e+01 5.433053e+01 1.052581e+01 4.891340e+00 2.691883e+01
## [2816] 4.314562e+00 1.280131e+01 9.221417e+00 1.431173e+01 1.562119e+01
## [2821] 3.982500e+00 1.793791e+01 9.540649e+00 4.828448e+01 2.397228e+01
## [2826] 1.202876e+00 2.710854e+00 1.731185e+01 4.735174e+00 6.104246e+00
## [2831] 7.772288e+01 1.603088e+01 7.379213e+01 1.245509e+01 1.188827e+01
## [2836] 1.378377e+01 1.391542e+01 6.914877e+00 1.463656e+01 2.539842e+00
## [2841] 1.792411e+01 9.640481e-01 4.618084e+00 1.235463e+01 4.048723e+00
## [2846] 3.360084e+00 5.625026e+00 1.149209e+01 1.030341e+01 1.630248e+01
## [2851] 4.555163e+00 4.237632e-01 5.919652e+00 4.487699e+00 6.647486e+00
## [2856] 4.563039e+00 2.769389e+01 9.571107e+00 3.328933e+01 2.971768e+01
## [2861] 2.584751e+00 3.407852e+00 3.685626e+00 2.694767e+00 2.531795e+00
## [2866] 3.681458e+01 3.286243e+00 5.872858e+00 2.144456e+00 1.014245e+01
## [2871] 6.421299e+00 8.713284e+00 4.976202e+00 6.689413e+00 1.486983e+01
## [2876] 1.112868e+01 2.894492e+01 4.253330e-01 1.202631e-01 1.910631e+00
## [2881] 7.405652e+00 1.093370e+01 1.060205e+01 2.724533e+01 1.265123e+01
## [2886] 4.367467e+01 6.261489e+00 9.190245e+00 3.344428e+01 2.235975e+01
## [2891] 3.332913e+01 4.083119e+00 1.430245e+00 2.504075e+01 2.451926e+01
## [2896] 7.350958e+00 2.638540e-01 9.284771e-01 1.835250e-01 1.387828e+00
## [2901] 3.304778e+01 8.945967e+00 1.807580e+01 1.932194e+01 1.670779e+00
## [2906] 3.850807e+01 1.428047e+01 4.925354e+00 3.546834e+01 2.191784e+01
## [2911] 1.012132e+01 2.492112e+00 1.646486e+01 3.266122e+00 2.073418e+00
## [2916] 5.833061e+00 7.294951e-01 1.772387e+01 1.752924e+01 3.618672e+00
## [2921] 5.702275e+00 9.538104e+00 1.618202e-01 1.906579e+01 4.778280e+00
## [2926] 5.919157e+00 5.324128e+01 2.619652e+01 2.098316e+01 3.992133e-01
## [2931] 1.018482e+01 3.980747e+01 2.026827e+00 1.109057e+01 1.207061e+01
## [2936] 2.750729e+00 3.241431e+00 2.534897e+01 3.786320e+00 7.572185e+00
## [2941] 1.138890e+01 3.468211e+00 1.443067e+01 1.166217e+01 4.111348e+00
## [2946] 4.577906e+00 3.709891e+01 1.972381e+01 1.085465e+01 2.385615e+01
## [2951] 2.777949e+01 3.773594e+01 5.871486e-02 6.143928e+00 4.166226e+00
## [2956] 7.111107e+00 2.315148e+01 1.421139e+01 1.586325e+01 3.062944e+01
## [2961] 6.689024e+01 1.501906e+01 1.985620e+01 3.756776e+00 7.849184e-01
## [2966] 4.077242e+01 6.081862e+00 4.522135e+00 1.691727e+01 2.663015e+00
## [2971] 3.592604e+00 1.284686e+01 4.533676e+00 1.651593e+00 9.599661e+00
## [2976] 3.829469e-01 7.619683e+00 1.187400e+01 1.636106e+01 1.021100e-01
## [2981] 1.250145e+00 2.696177e+01 1.164070e+01 1.744736e+01 1.274597e+01
## [2986] 3.404757e+00 7.140989e+00 1.734979e+01 3.755863e-01 9.578877e+00
## [2991] 9.446955e+00 1.154169e+01 6.390084e+00 3.861920e+01 3.466574e+00
## [2996] 1.762763e+01 1.926437e+00 5.035369e+01 1.863642e+01 2.961751e+01
## [3001] 1.055823e+01 1.009651e+00 6.735560e+00 9.366160e+00 1.154203e+01
## [3006] 4.077834e+00 8.301610e+00 9.481394e-01 3.397077e+00 3.259257e+00
## [3011] 3.923097e+00 8.664917e+00 1.118809e+01 8.170953e+00 4.518555e+00
## [3016] 6.598371e+00 1.109409e+01 3.397511e+00 2.721399e+00 1.868303e+01
## [3021] 6.834473e+00 4.929660e+01 6.127995e+00 9.934387e-01 2.154273e+00
## [3026] 7.992606e+00 8.956166e+00 1.185353e+01 2.352089e+01 1.737427e+01
## [3031] 1.529985e+00 1.338467e+01 7.787901e+00 1.024676e+01 4.943107e+01
## [3036] 1.580219e+01 2.304831e+00 6.897517e-01 4.381702e+00 1.875098e-01
## [3041] 1.304923e+00 8.189763e+00 1.131825e+01 3.507514e+01 7.583857e+00
## [3046] 6.685843e+00 7.324723e-02 2.200341e+00 3.125401e-01 1.601171e+01
## [3051] 1.384814e+01 9.429666e+00 9.004775e+00 1.248494e+01 3.900459e+01
## [3056] 4.406950e+01 3.540786e+01 1.867734e+00 6.960861e+00 5.646265e+00
## [3061] 9.207577e+00 7.328794e+00 9.691988e+00 7.818249e+00 6.742822e+00
## [3066] 2.859686e+01 2.653891e+01 7.510340e-01 1.478792e+01 2.993374e+00
## [3071] 1.494373e+01 1.843600e+01 2.816593e+00 3.195111e-01 1.319497e+01
## [3076] 7.763529e+00 7.378534e+00 9.833269e+00 2.075664e-01 1.048878e+01
## [3081] 3.013953e+00 1.975294e+00 7.215027e+00 1.191910e+01 9.147486e+00
## [3086] 2.635127e+01 1.692417e+00 5.903719e+01 9.801045e+00 9.761952e+00
## [3091] 7.637504e+00 2.713392e+01 2.641932e+00 1.726237e+01 1.132617e+01
## [3096] 1.197823e+01 4.092646e+01 4.831627e+00 3.923431e+00 3.932793e+00
## [3101] 8.703071e+00 1.006439e+01 6.063150e+00 1.758725e+01 1.757211e+01
## [3106] 2.500277e-01 1.846154e+00 9.300533e+00 2.574121e+00 1.264730e+01
## [3111] 6.167263e+00 2.732208e+01 6.408786e+00 1.486050e+00 1.902114e+01
## [3116] 2.887328e+01 5.381522e-01 2.587800e+00 3.785304e+01 1.363011e+01
## [3121] 1.005222e+00 5.644166e-02 1.063438e+01 2.173207e+00 2.263165e+01
## [3126] 7.374762e+00 2.264098e+00 9.390092e+00 7.262036e+00 2.517760e+00
## [3131] 3.524951e-02 1.416230e+01 6.514660e+00 1.755069e+00 2.099964e+01
## [3136] 3.011722e+01 1.211046e+00 1.340741e+01 2.621453e+01 4.033990e-01
## [3141] 4.549675e+00 1.230302e+01 9.165372e+00 1.593018e+01 7.190805e+00
## [3146] 2.729675e+00 1.878939e+00 1.234378e+01 1.985111e+01 2.429711e-01
## [3151] 3.527672e+01 1.831342e+01 2.114056e+01 1.186926e+01 1.328926e+01
## [3156] 2.964779e+00 1.095969e+01 1.242021e+01 2.013019e+01 2.998549e+00
## [3161] 2.224281e+01 9.414781e-01 2.346794e+01 3.292326e+01 1.217046e+01
## [3166] 2.437636e+00 4.569814e+00 2.430463e+01 1.623899e+01 1.850085e+01
## [3171] 2.456106e+01 6.382296e+00 1.030982e+01 9.691020e+00 4.344427e+00
## [3176] 6.913925e+00 4.616592e+00 1.173883e+00 2.943744e+00 1.201976e+01
## [3181] 3.489419e+00 5.122287e-01 1.501597e+00 1.050684e+01 3.520776e+00
## [3186] 3.985335e+00 1.305957e+00 1.111192e+01 5.841291e+00 3.065286e+00
## [3191] 3.400699e+00 8.908578e-02 3.646607e+01 1.529140e+01 1.295017e+01
## [3196] 4.374702e+00 4.358559e+00 1.124711e+01 4.969941e+01 1.711952e+01
## [3201] 4.626204e-02 2.621725e-01 2.632162e+01 9.728789e+00 1.927877e+01
## [3206] 8.966516e+00 1.687155e+00 1.151235e+01 1.217255e+01 6.461509e+00
## [3211] 1.753471e+00 2.019887e+01 7.520855e+00 2.100072e+00 2.425203e+01
## [3216] 7.901840e+00 1.081446e+01 6.398606e+00 3.178403e+01 1.210760e-01
## [3221] 1.066288e+01 1.199891e+01 2.730963e+01 4.993973e+00 4.893197e+01
## [3226] 7.777451e+00 2.743536e-01 6.400984e+00 4.507905e+00 1.153111e+01
## [3231] 1.008386e+01 2.020512e+00 4.722854e+00 6.268371e+00 9.456820e+00
## [3236] 6.222368e+01 1.657856e+01 2.347606e+00 1.116694e+01 1.682203e+01
## [3241] 6.807965e-01 1.640400e+01 4.122950e-01 6.068197e+01 2.243584e+01
## [3246] 3.222022e+00 4.433350e-01 4.273402e+00 1.106445e+01 1.539245e+01
## [3251] 1.935197e+01 1.454860e+01 9.294766e+00 2.098243e+00 2.594834e+01
## [3256] 1.411660e+01 2.015662e+01 1.172747e+01 1.612310e+01 1.964955e+01
## [3261] 3.099045e+00 6.465519e+00 5.075087e+00 3.889540e+00 2.150279e+00
## [3266] 1.027824e+01 3.105082e+00 8.159334e+00 3.041159e+01 5.216172e+01
## [3271] 2.850638e+01 1.241060e+01 1.046270e+01 3.382616e+00 1.775233e+01
## [3276] 3.493198e+00 2.825551e+01 6.005515e+00 9.089151e+00 7.042467e-01
## [3281] 3.857853e+01 6.461669e+00 8.102510e-01 1.484955e+00 4.110436e+00
## [3286] 1.639720e+01 6.084191e+00 1.623419e+01 2.256757e+00 1.167135e+01
## [3291] 3.515549e+00 1.350304e+01 3.380764e+00 8.273274e-02 3.733413e+00
## [3296] 2.035477e+01 4.047146e+00 3.209585e+01 2.448117e+01 3.389594e+00
## [3301] 1.915092e+00 1.730894e+01 9.867366e+00 1.151534e+00 1.022806e+00
## [3306] 9.743669e+00 2.414560e+00 8.253568e-02 8.768402e+00 1.170681e+01
## [3311] 1.748957e+01 3.263396e+00 1.697293e+01 4.258634e+00 3.154335e+00
## [3316] 6.581954e+00 3.875085e+00 1.388590e+01 1.310324e+01 1.295988e+01
## [3321] 4.160605e+01 8.818739e+00 5.810522e+00 1.933632e+01 1.283569e+01
## [3326] 1.459154e+01 5.299610e+00 1.613559e+01 4.908877e+00 2.357423e+01
## [3331] 6.675247e-01 2.417519e+00 1.397825e+01 1.033071e+01 1.472919e+01
## [3336] 2.689325e+01 4.365512e+00 2.221341e+01 4.363448e+00 5.857886e+00
## [3341] 7.099722e+00 3.424730e-02 4.957142e-01 4.913097e+00 1.076397e+01
## [3346] 2.141903e+00 3.842793e+00 2.202072e+00 8.611380e+00 1.157309e+01
## [3351] 1.632159e+00 1.422310e+01 1.434076e+01 1.103369e+01 2.984936e+00
## [3356] 2.044108e+01 1.762322e+01 2.870126e+01 2.758774e+01 4.560898e+00
## [3361] 5.445139e+00 1.291009e+01 3.457315e+00 1.502600e+01 2.841938e+01
## [3366] 3.576019e+00 1.828174e+00 3.290595e+00 1.110407e+01 3.160237e+01
## [3371] 5.435426e+00 1.094453e+00 1.083060e+00 3.605540e+00 1.634473e+01
## [3376] 1.139738e+01 1.819248e+01 6.971258e+00 8.179826e+00 2.316065e+01
## [3381] 9.007650e+00 6.457315e+00 9.607920e+00 1.218753e-01 1.754826e+01
## [3386] 8.434787e+00 2.081488e+00 3.488623e+01 2.643830e+00 1.553054e+01
## [3391] 8.259077e-02 2.590591e+01 1.510078e+01 1.352147e+00 1.702998e+01
## [3396] 1.997311e+01 2.434460e+00 4.919377e+00 7.078111e+00 2.980054e+01
## [3401] 3.270621e+01 1.715360e+01 1.942370e+01 2.348845e+01 9.837743e+00
## [3406] 2.848236e+01 3.322538e+00 5.026545e+00 3.916010e+00 5.925901e+00
## [3411] 1.004144e+01 8.593356e+00 3.201807e+00 9.050339e-01 7.723758e+00
## [3416] 3.876186e+00 1.475955e+01 1.466991e+01 1.776845e+00 1.121377e+01
## [3421] 4.632724e+00 2.099735e+01 9.941113e+00 2.908719e-01 6.321941e-01
## [3426] 2.726793e+00 1.272992e+01 1.109121e+00 8.475225e+00 1.827153e+00
## [3431] 1.663682e+00 4.175343e+01 4.703466e+01 6.428317e+00 6.742558e+00
## [3436] 4.639258e+00 4.088418e+01 3.823365e+00 6.304103e+00 1.169379e+01
## [3441] 1.570888e+01 3.379820e+01 9.496185e+00 3.617918e+00 7.171894e+00
## [3446] 1.390023e+01 1.460517e+01 4.165144e+00 1.193864e+01 3.968925e+00
## [3451] 5.535399e-01 7.800992e+00 2.011967e+01 1.995564e+01 7.529960e-01
## [3456] 7.519667e-01 2.177322e+01 1.746027e+01 2.886595e+00 1.653919e+00
## [3461] 1.598378e+01 3.616639e-01 5.281522e+00 3.348588e+01 2.211156e-01
## [3466] 2.508760e+00 1.565663e+00 1.151617e+01 1.287731e+01 7.694564e-01
## [3471] 1.063926e+01 1.977973e+01 2.563627e+01 3.436987e+00 2.534275e+00
## [3476] 3.698740e+00 1.093238e+01 4.611977e+01 1.466072e+01 8.460806e+00
## [3481] 7.846515e-01 4.037314e+00 1.033291e+01 9.149052e+00 2.174282e+01
## [3486] 8.280252e+00 1.531956e+01 2.130099e+01 5.390282e+00 1.318538e+01
## [3491] 6.705205e+00 1.064530e+01 8.296698e+01 2.285877e+01 5.840769e+00
## [3496] 3.239548e+00 1.352811e-01 4.209673e+01 3.677233e-01 9.286611e+00
## [3501] 2.832084e+01 3.171548e+00 3.652025e+01 1.409659e+01 1.937337e+01
## [3506] 1.260125e+00 1.182854e+01 1.036736e+01 1.021338e+01 4.874657e+00
## [3511] 3.480347e+00 6.101375e+00 4.381689e+00 8.721380e+00 5.189166e+00
## [3516] 1.228726e+01 1.327463e+01 2.479049e+00 2.261597e+00 1.255401e+01
## [3521] 8.443838e+00 1.601385e+01 2.457625e+01 8.620946e-02 1.837543e-01
## [3526] 8.570437e+00 5.026242e+00 3.920465e+00 2.583500e+00 2.813435e+00
## [3531] 2.293334e+00 4.244931e+00 6.321124e-01 2.018600e+01 9.153068e+00
## [3536] 7.959898e+00 3.066335e+00 1.192562e+01 5.791999e+00 9.819478e+00
## [3541] 8.977801e+00 4.012650e+01 3.040757e+00 1.781141e+01 1.475062e+01
## [3546] 7.842149e+00 3.878400e-01 1.021707e+01 2.492666e+00 1.042624e+01
## [3551] 1.082147e+00 6.487377e+00 1.827346e+01 9.878997e-01 3.780033e+00
## [3556] 1.827159e+00 1.197878e-01 1.145090e-01 9.660217e+00 1.127248e+01
## [3561] 1.122574e+00 1.733903e+01 3.599910e+01 1.234478e+01 7.342778e+00
## [3566] 7.150616e+00 3.305415e+00 1.415205e+01 6.914058e-01 2.712010e+01
## [3571] 5.204394e+00 1.750899e+01 1.400459e+01 1.438151e+01 1.250893e+01
## [3576] 1.591774e+01 1.919125e+01 3.805951e+01 5.612187e+00 1.580786e+01
## [3581] 9.092744e+00 3.049073e+00 5.051293e-01 4.173315e+00 1.965933e+01
## [3586] 6.382981e+00 7.090634e+00 1.182328e+01 3.071538e+01 3.743165e+00
## [3591] 2.104740e+01 4.585932e+01 1.928393e+01 4.097049e+01 1.675772e+01
## [3596] 1.856534e+00 3.060770e+01 5.679503e+00 9.449454e+00 9.587865e+00
## [3601] 3.516789e+01 5.212470e+00 2.413558e+01 3.548601e+01 1.217079e+01
## [3606] 4.644731e-02 2.914376e+01 3.881967e+00 4.202766e+00 4.120697e+00
## [3611] 1.623650e-01 2.911365e+01 1.144940e+00 1.352656e+01 9.173239e-01
## [3616] 2.850906e+00 1.675747e+01 3.145442e+01 1.783716e+01 1.625658e+01
## [3621] 1.506964e+00 2.056943e+00 2.647678e+01 6.492552e+00 2.051457e+00
## [3626] 6.539790e+00 1.357158e+01 4.674723e+00 5.387609e-01 1.104211e+01
## [3631] 1.201766e+01 4.213131e+01 2.069083e+01 9.591399e+00 1.070887e+01
## [3636] 1.465223e-02 3.931993e+00 7.963787e+00 6.452596e+00 2.484540e+00
## [3641] 1.400635e+00 6.105078e-01 2.176150e+01 6.344720e+00 2.267172e+01
## [3646] 1.419139e+01 6.153545e+00 2.979638e+01 3.753436e+00 5.174219e+00
## [3651] 1.745269e+00 8.048547e+00 9.787737e+00 2.076288e+00 2.881868e+00
## [3656] 4.063789e+01 4.471284e+00 4.637832e+00 7.206707e+00 9.042668e+00
## [3661] 1.039884e+01 2.265549e+01 1.934871e+01 4.620128e+00 3.813840e+01
## [3666] 9.734088e+00 2.335986e+00 4.861307e-01 1.592428e+01 2.228956e-01
## [3671] 3.640838e+01 2.172683e+00 2.254510e+01 1.548751e+01 9.769392e+00
## [3676] 4.882818e+00 1.907788e+01 1.310066e+01 2.599949e+01 4.301277e-01
## [3681] 2.559444e-01 3.155830e+00 1.471134e+01 6.577549e+00 1.625301e+01
## [3686] 3.661708e+00 3.974946e+00 7.922063e+00 3.830215e+00 6.409786e+01
## [3691] 3.745329e+01 3.579011e+00 2.709168e+00 1.759944e+00 1.434105e+01
## [3696] 3.919528e+00 1.734854e+01 1.938537e+00 1.050240e+01 2.409284e+01
## [3701] 5.375493e+00 1.660717e+01 3.441058e+00 3.099926e+00 3.725170e+01
## [3706] 1.204771e+01 4.943736e+00 3.267071e+00 8.758656e+00 1.477920e+01
## [3711] 8.915915e+00 3.951776e+00 1.641586e+01 2.726098e+01 3.074442e+01
## [3716] 2.195907e+01 5.799106e-01 2.305789e+01 3.693515e-01 1.341678e+01
## [3721] 7.832865e+00 1.137770e+01 5.134757e-01 1.934109e+01 3.779765e+01
## [3726] 1.259824e+01 5.670151e+00 9.111235e+00 3.210122e+01 1.424315e+01
## [3731] 2.808541e+01 1.762014e+01 2.271453e+00 4.614769e+00 5.090618e-01
## [3736] 1.555077e+01 1.654132e+01 7.004164e-01 4.532862e+00 2.433473e+00
## [3741] 1.999018e+01 1.228726e+01 1.039627e+01 1.384933e+01 1.143368e+01
## [3746] 1.709858e+01 1.469692e+00 8.969948e-01 2.806377e+00 2.095737e+01
## [3751] 4.688655e+01 1.377211e+01 2.604432e+00 2.214283e+01 5.823583e+00
## [3756] 1.653507e+01 2.627466e+01 2.803230e+01 9.820120e+00 1.486826e+01
## [3761] 8.597173e+00 4.676059e+01 1.203932e+01 1.274868e+01 1.037896e+00
## [3766] 3.423965e+01 2.236013e+00 3.568340e+00 9.562332e-01 6.623142e+00
## [3771] 1.482157e+00 1.626307e+01 1.661318e+01 2.399286e+00 1.608378e+01
## [3776] 2.788917e+01 3.728966e+00 3.402774e+01 1.945448e+01 2.350992e+00
## [3781] 7.114546e+01 1.184668e+01 1.333885e+00 1.374682e+00 1.172460e+01
## [3786] 1.914495e+01 7.903141e+00 9.020300e+00 9.121964e+00 9.979678e+00
## [3791] 8.780229e+00 9.738538e-01 5.409245e+00 2.235834e+01 2.243361e+01
## [3796] 5.364871e-02 9.400806e+00 3.741557e+00 1.903938e-01 1.133050e+01
## [3801] 2.309621e+01 8.723272e-01 4.440942e+00 2.461290e+00 3.613984e+00
## [3806] 6.095643e+00 2.347345e+00 3.014702e+01 4.747504e+00 4.520797e+01
## [3811] 2.073791e+00 1.868662e+00 1.281491e+01 5.989789e+00 6.984564e+00
## [3816] 5.814279e+00 1.193911e+01 4.623174e-01 1.160334e+01 6.382187e+00
## [3821] 2.943150e+00 1.512694e+01 4.572054e+00 3.794635e-01 3.583262e+00
## [3826] 8.854074e+00 1.017922e+01 2.396480e+00 1.364590e+01 4.090457e+00
## [3831] 1.499464e+01 2.260827e+00 4.116272e+00 1.556248e+01 2.788173e+01
## [3836] 2.059498e+01 3.573545e+01 1.459742e+01 5.122513e+00 8.612865e+00
## [3841] 1.576869e+01 7.305627e+00 7.078292e+00 1.482330e+01 5.915046e+00
## [3846] 1.001359e+01 4.145787e+01 2.044654e+00 1.322133e-02 5.819338e+00
## [3851] 1.395459e+01 5.735121e+01 8.726986e-01 6.020112e+00 4.521388e+01
## [3856] 4.761684e+00 2.163015e+00 7.087805e+00 1.354838e+01 1.264321e+01
## [3861] 4.404480e+00 8.124299e+00 1.526763e+01 2.124434e-01 4.423208e+00
## [3866] 9.799257e+00 4.332440e+00 3.795157e+00 1.652891e+01 2.498747e+00
## [3871] 1.554922e+01 8.727925e-01 2.063094e+00 1.591525e+01 9.665248e-01
## [3876] 1.467281e+00 1.275000e+01 8.312662e+00 2.836014e+01 2.495628e+01
## [3881] 2.817349e+01 2.892856e+00 9.212958e+00 1.014361e+01 1.657663e+01
## [3886] 5.742552e+00 2.996442e+00 1.780949e+00 3.209768e+01 1.756940e+01
## [3891] 1.831776e+01 2.223993e+01 4.688144e+01 9.027823e+00 3.800779e+01
## [3896] 3.468124e+01 2.042075e+01 2.035230e+00 1.666170e+01 4.955978e+00
## [3901] 5.805415e+00 1.983875e+00 4.492023e+00 1.888326e+01 4.660346e+01
## [3906] 1.764346e+01 4.610086e+00 1.118044e+01 1.305686e+01 3.970022e+00
## [3911] 3.264973e+00 7.515188e+00 7.784800e-01 8.817960e+00 2.663314e+00
## [3916] 3.070563e+00 1.964637e+01 1.623944e+01 9.878054e+00 1.458560e+01
## [3921] 6.882436e+00 4.228493e+00 1.598170e+01 2.369828e-01 1.490305e+01
## [3926] 9.891670e+00 8.136191e+00 1.819806e+00 3.488620e+00 1.371464e+01
## [3931] 2.573526e+00 7.086821e+00 1.135164e+01 2.584681e+01 1.550629e+01
## [3936] 1.024162e+01 6.635105e+00 6.754068e-01 2.580049e+01 4.580441e+00
## [3941] 6.635693e+00 3.414199e+00 1.272245e+01 6.612842e+00 9.845483e+00
## [3946] 1.665433e+01 3.502013e+00 7.490424e+00 2.223247e+01 5.459528e+00
## [3951] 2.358282e+00 1.119660e+01 6.695791e+00 6.168304e+00 3.654646e+00
## [3956] 3.450931e+00 1.462096e+01 2.544642e+01 1.581069e+00 3.071562e+01
## [3961] 2.870532e+01 1.448344e+01 1.099224e+01 4.891961e+00 4.785976e+00
## [3966] 5.770466e+00 1.002589e+01 9.865324e+00 6.057887e+00 1.314483e+00
## [3971] 6.533452e+00 2.898606e-01 2.637772e+00 3.856401e+00 4.288652e+00
## [3976] 1.663695e+01 3.538937e+00 2.109673e+01 7.681544e+00 1.464856e+01
## [3981] 6.873186e+00 1.922126e+00 5.006712e+00 7.256564e+00 9.465395e+00
## [3986] 4.847261e-01 1.133041e+01 1.230326e+00 2.308313e+01 2.492745e+00
## [3991] 6.135068e-01 1.657553e+01 5.180028e+00 1.931789e+01 1.407854e+01
## [3996] 9.127604e+00 7.512599e+00 3.334203e+00 6.398291e+00 2.029748e+00
## [4001] 2.853665e+00 4.061901e+01 4.728955e+01 9.468451e+00 1.015731e+01
## [4006] 1.092034e+01 7.023276e+00 8.836232e+00 2.194958e+01 3.031681e+01
## [4011] 1.021418e+01 2.098782e+01 3.868531e+00 2.029285e+01 6.963029e+00
## [4016] 2.385252e+01 7.552283e-01 3.036687e+01 1.813302e+01 2.388880e+01
## [4021] 1.466614e+00 3.785332e+00 1.287366e+01 6.458582e-01 1.094792e+01
## [4026] 9.968278e+00 1.479926e+00 3.834697e+00 1.355938e+01 9.920909e-01
## [4031] 1.247828e+01 7.808798e+00 1.773128e+00 1.309707e+00 2.077088e+01
## [4036] 9.313156e+00 2.554602e+01 2.992169e+00 5.258294e+00 3.311823e+00
## [4041] 4.021209e+00 3.068360e+01 9.989117e+00 1.308039e+00 8.064462e+00
## [4046] 8.280677e+00 1.452866e+01 4.363227e+00 9.575828e+00 7.797101e+00
## [4051] 1.024052e+01 2.794748e+01 1.262936e+01 1.779876e+01 4.333846e+00
## [4056] 1.203457e+01 2.032493e+00 4.048467e+00 7.003520e+00 1.045942e+01
## [4061] 1.202638e+01 6.343679e-01 8.499960e-01 4.181082e+00 4.418762e+00
## [4066] 6.281646e+01 6.067800e+00 9.109049e+00 5.857603e-01 1.329450e+01
## [4071] 5.558339e+00 1.057630e+01 5.709587e+00 5.437579e+00 2.473664e+01
## [4076] 2.804504e+01 6.167999e-01 2.037129e+00 2.930928e+01 8.460891e+01
## [4081] 5.261229e+00 3.965760e+00 1.522640e+01 5.823857e+01 4.417380e+01
## [4086] 4.888424e+00 3.021629e+00 8.428735e+00 3.597511e+00 1.912416e+01
## [4091] 3.498162e+00 1.309484e+01 9.586878e+00 1.042814e+00 3.132167e+00
## [4096] 1.625926e+01 5.378432e+00 3.627925e+00 5.152258e+00 9.113680e+00
## [4101] 1.174113e+01 1.690001e+01 2.995910e+00 4.277440e-01 9.809352e+00
## [4106] 2.034681e+01 3.516482e+00 2.915442e+00 6.046927e+00 4.196107e+01
## [4111] 1.298355e+00 1.572569e+00 5.246638e-01 4.340004e+00 5.303252e+00
## [4116] 1.590027e+00 2.337690e+01 2.532827e+01 7.555084e+00 4.815884e+00
## [4121] 3.806353e+01 6.787273e+00 9.944231e+00 8.820281e+00 2.451314e+00
## [4126] 1.205086e+01 3.322711e+01 8.592799e+01 5.883478e-01 1.471433e+01
## [4131] 1.393091e+01 4.382897e+01 3.076583e-01 1.256145e+01 4.001599e+01
## [4136] 2.398252e+01 4.130492e+01 9.345036e+00 2.521054e+01 9.277462e+00
## [4141] 5.651907e+00 9.759445e+00 2.318368e+01 3.054041e+01 4.320917e+00
## [4146] 8.525741e+00 8.759481e+00 1.893849e+01 1.385216e+01 4.612086e+00
## [4151] 4.966973e+01 2.462210e+00 6.294269e+00 3.017639e+01 1.005130e+00
## [4156] 1.597769e+01 2.884174e+01 1.732914e+01 2.240736e+01 4.916173e+00
## [4161] 2.826440e+01 8.280446e+00 4.483899e+01 1.840237e+01 3.997386e+00
## [4166] 2.846068e+00 1.502687e+01 1.013924e+00 3.389341e+00 6.532328e+00
## [4171] 1.495210e+01 3.380018e+01 1.533605e+01 4.344626e+00 5.358407e+01
## [4176] 1.343177e-01 6.066971e+00 1.299720e+01 5.649737e+00 5.527898e+00
## [4181] 1.266130e+01 4.739813e+00 9.492792e-01 6.292889e-01 3.371863e+00
## [4186] 4.903703e+01 2.450258e+01 3.211322e+00 1.474481e+00 6.112389e+00
## [4191] 4.475148e+01 2.876275e+00 1.644968e+00 1.916684e+01 4.104400e+01
## [4196] 3.736197e+01 2.160292e+01 1.807971e+01 1.161492e+01 3.397142e+01
## [4201] 3.299485e+00 1.553981e+01 2.207965e+01 4.908674e-01 2.471739e+01
## [4206] 5.672512e+00 4.816205e-01 2.066835e+01 9.727486e-01 1.445054e+01
## [4211] 2.374689e+00 1.072539e+01 1.329554e+01 1.229982e+01 7.565770e+00
## [4216] 2.210207e+01 4.328707e+00 7.956879e+00 2.371832e-01 2.977490e+00
## [4221] 6.585632e+00 6.400311e+00 1.727168e+01 2.936472e+01 1.606953e+00
## [4226] 1.060835e+01 3.653652e+01 8.791051e+00 1.662189e+00 1.746645e+01
## [4231] 1.925034e+01 1.074970e+01 1.467237e+01 2.378451e+01 8.236914e+00
## [4236] 1.122109e+01 1.240191e+01 4.399710e+00 1.213326e+00 2.831659e+01
## [4241] 1.715077e+01 7.509625e+00 6.824167e+00 1.097604e+01 1.239684e+01
## [4246] 4.808348e+00 2.669154e+01 4.772851e-01 4.689156e+00 5.275228e+00
## [4251] 5.565305e+00 3.159812e+00 2.670067e+00 3.122031e+01 1.970954e+01
## [4256] 1.759433e+01 5.584717e+00 9.460759e+00 9.846408e-01 2.402416e+01
## [4261] 2.209801e+01 9.644447e-01 4.146616e+01 1.076080e+01 5.974572e+00
## [4266] 7.705474e+01 1.006408e+01 2.878232e+00 1.449633e+00 2.206784e+01
## [4271] 2.034090e+01 5.352862e+00 3.536064e+00 1.256194e-01 6.782135e+00
## [4276] 5.622254e+00 1.330437e+01 4.267290e+00 1.611816e+01 1.625795e+01
## [4281] 3.279781e+01 4.921244e+00 2.558028e+00 5.659254e+00 1.587835e+01
## [4286] 7.938995e+00 2.496084e+00 8.348553e+00 4.180723e+00 1.965896e+01
## [4291] 8.557696e+00 1.116623e+00 1.742249e+01 1.617873e+00 2.763061e-01
## [4296] 5.473974e+00 1.216659e+01 1.915199e+01 1.244095e+01 9.732731e-01
## [4301] 9.997415e+00 1.081221e+01 4.449365e+00 5.687824e+01 7.641467e+00
## [4306] 2.764815e+01 3.003194e+00 7.920463e+00 5.099511e+01 2.719718e+00
## [4311] 2.286132e+01 3.056804e+00 5.468881e+00 2.865624e+01 5.161650e+01
## [4316] 1.170377e+01 1.003565e+01 1.856255e+01 1.510124e+01 1.042320e+00
## [4321] 6.111384e+00 7.200953e+00 2.444864e+01 9.487321e+00 3.012987e+00
## [4326] 1.801624e+01 4.827337e-01 3.036388e+00 7.051727e+00 1.198977e+01
## [4331] 6.015097e+01 6.510381e+00 5.794214e+00 1.081171e+01 1.053198e+00
## [4336] 9.268834e+00 1.520824e+01 1.132967e+01 6.133485e+00 4.103884e+01
## [4341] 7.760854e+00 1.199641e+00 1.060496e+01 2.129666e+01 1.172887e+01
## [4346] 3.253414e+00 1.949715e+00 4.337017e+00 2.429639e+01 7.981741e+00
## [4351] 5.294043e+00 1.795862e+01 2.617579e+01 1.329843e+01 2.441056e+00
## [4356] 2.057877e+01 3.864845e+00 1.074584e+01 6.386494e+00 4.882376e+00
## [4361] 6.129734e+00 1.056491e+00 8.692876e+00 2.926056e+01 6.870515e+00
## [4366] 5.900272e+00 6.687559e+00 4.348504e+00 2.242359e+01 1.043229e+01
## [4371] 7.843712e+00 2.406686e+00 2.087325e+01 1.141648e+01 8.622494e+00
## [4376] 1.794342e+01 3.819026e+00 2.374685e+00 1.109234e+01 3.397109e+01
## [4381] 2.532583e+01 1.179415e+01 5.510198e+00 6.747405e+00 4.818280e-01
## [4386] 1.188909e+01 5.042150e+00 4.890932e+00 1.241376e+00 2.072139e+00
## [4391] 2.111895e+01 9.777538e+00 1.105998e+01 2.644560e+01 1.265801e+01
## [4396] 1.531723e+01 1.344087e+01 4.508181e+00 4.083441e+00 2.264849e+01
## [4401] 1.331066e+00 1.644920e+01 1.559374e+01 1.865058e+00 1.633752e+01
## [4406] 4.138143e+01 2.377296e+00 1.006268e+01 4.311672e+00 1.375807e+01
## [4411] 2.807439e+00 2.226902e-01 2.666804e+01 4.926122e+00 8.770672e+00
## [4416] 2.217442e+01 2.985765e+01 6.284388e+00 2.916172e+00 1.367491e+01
## [4421] 3.913724e+00 5.491079e+00 2.945867e+01 2.927095e+01 2.195331e+01
## [4426] 1.586502e+00 4.542994e+00 9.148013e+01 3.853060e+01 1.248617e+00
## [4431] 1.356848e+00 1.528966e+01 7.559670e+00 1.349009e+01 5.585482e-01
## [4436] 1.002426e+01 8.891723e+00 1.947963e+00 6.477731e+00 1.840123e+01
## [4441] 8.588173e+00 4.553785e+00 1.171223e+01 4.479369e+00 5.464974e+00
## [4446] 2.001632e+00 8.846529e+00 2.548492e+01 3.449673e+00 1.886764e+01
## [4451] 7.347655e-01 4.569834e+00 1.177253e+01 6.354777e+00 9.032181e+00
## [4456] 6.431747e-01 4.831923e+00 5.559682e+00 6.692390e+00 1.452170e+01
## [4461] 1.333044e+01 8.794703e+00 5.892810e+00 2.037755e+01 3.788305e+01
## [4466] 2.056275e-01 6.619362e-01 1.563513e+01 4.395768e+01 6.162494e-02
## [4471] 9.058596e+00 3.523330e+01 1.544567e+00 1.211953e+01 7.710282e+00
## [4476] 5.789287e+00 4.576137e+00 2.975053e+00 1.455560e+00 8.811340e+00
## [4481] 3.515416e+01 1.214968e+01 8.629716e+00 3.382357e+00 2.219092e+00
## [4486] 1.802468e+01 1.308870e+01 3.530530e+00 3.514465e+00 1.394103e+01
## [4491] 1.309021e+01 1.400993e+01 1.199553e+00 1.237288e+01 1.758776e+01
## [4496] 2.651790e+01 5.958305e+00 1.753864e+01 5.298479e+01 2.814483e+00
## [4501] 1.727888e+00 2.565675e+01 6.666708e-02 8.600933e+00 2.053868e+00
## [4506] 2.263379e+01 2.311366e+01 1.349634e+00 2.094353e+00 2.066738e+01
## [4511] 3.461393e+00 2.340583e+01 7.692550e-01 1.225512e+01 1.839438e+00
## [4516] 1.769909e+00 9.638652e+00 2.145927e+01 8.683411e+00 2.989197e+00
## [4521] 6.559684e+00 1.546865e+01 2.494912e+01 3.427797e+00 1.296663e+01
## [4526] 1.787804e+01 5.259358e-01 1.675657e+01 2.021222e+00 2.456680e+01
## [4531] 4.867615e-01 4.762490e+00 9.447309e+00 1.657608e+00 3.100477e+00
## [4536] 1.189006e+01 8.235013e+00 2.480342e+00 1.006836e+00 1.451190e+00
## [4541] 7.839693e+00 4.819970e+01 1.756456e+00 8.557133e+00 4.581103e+00
## [4546] 2.419141e+01 2.177077e+01 3.659434e+00 2.097399e+00 1.383055e+00
## [4551] 2.954390e+00 2.832592e+00 1.875047e+01 1.060596e+01 6.355840e+00
## [4556] 2.836419e+00 3.688839e+00 5.064927e+00 2.052359e+01 6.300242e+00
## [4561] 6.784128e+00 2.402688e+01 1.592405e+01 1.705196e+00 1.044879e+01
## [4566] 6.803045e+00 1.121678e+00 2.061765e+01 1.371566e+00 5.036409e+00
## [4571] 3.238868e+01 1.821487e+01 1.597409e+01 3.301912e+00 4.801462e+01
## [4576] 1.891519e+01 8.677900e+00 5.340537e+00 9.168844e+00 1.960521e-01
## [4581] 4.699381e-01 1.434940e+00 1.629466e+01 8.617487e+00 6.068143e+00
## [4586] 3.121785e+00 1.297035e+01 6.675053e+00 1.862095e+01 7.407839e-02
## [4591] 5.820638e+00 2.396969e+01 4.042437e+00 1.075830e+01 1.432845e+00
## [4596] 4.627907e+01 4.694077e+00 2.094156e+01 6.058917e+00 1.091408e+01
## [4601] 4.463777e+00 2.567540e+01 1.706732e+01 1.397466e+01 8.531333e+00
## [4606] 4.603362e-01 1.143546e+01 9.631073e+00 1.127530e+01 3.457803e+00
## [4611] 1.255020e+01 7.859346e+00 2.037461e+01 1.476370e+01 4.287062e+00
## [4616] 1.917604e+00 2.945757e+01 4.989880e+00 1.456054e+00 2.622803e+01
## [4621] 1.277197e+00 1.318276e+01 1.931539e+01 1.957587e+00 2.087186e+00
## [4626] 2.666367e+01 3.553459e+01 5.800370e+00 2.686842e+00 6.072995e+00
## [4631] 8.908122e+00 7.326857e+00 7.829325e+00 2.238549e+01 4.820630e+01
## [4636] 1.262038e+01 4.069259e-01 3.365854e+00 3.569648e+01 1.120328e+01
## [4641] 6.281394e+00 5.097201e+01 3.340916e+00 3.851380e+01 2.725077e+00
## [4646] 2.534926e+01 6.387332e+00 2.050052e+00 8.607095e+00 1.400288e+01
## [4651] 1.981408e+01 6.221219e+00 1.051305e+01 7.630873e+00 2.875429e+00
## [4656] 3.570098e+00 2.411775e+01 7.762424e+00 5.705107e+00 3.646673e+00
## [4661] 1.877298e+01 7.053286e+00 5.489981e+00 7.136497e-02 2.853062e+00
## [4666] 1.079191e+01 8.370643e+00 2.355803e+01 3.467171e+01 3.769589e+01
## [4671] 1.178801e+00 1.121727e+01 2.146896e+01 7.205097e-01 2.752131e+00
## [4676] 1.561135e+01 2.092355e+01 7.966983e+00 4.029554e+00 4.491475e-01
## [4681] 6.409072e-01 5.150770e+00 7.448054e+00 7.587480e+00 1.923648e+01
## [4686] 5.347288e+00 3.460820e+00 4.518767e+00 2.238822e+01 2.967094e+01
## [4691] 4.947059e+00 1.241511e+00 5.473728e-01 9.579622e+00 3.250961e+01
## [4696] 4.625539e+01 6.285563e+00 9.295230e+00 5.541903e+00 3.504258e+01
## [4701] 2.719065e+00 2.381231e+00 1.901616e+00 1.412237e+01 4.019255e+00
## [4706] 2.700587e+00 1.464988e+01 1.413373e+01 5.160313e+00 1.214648e+01
## [4711] 2.998903e+00 4.719790e+00 6.505493e+00 4.851820e+01 8.347576e+00
## [4716] 9.668651e+00 4.576721e+00 2.757312e+01 2.010899e+01 1.640980e-02
## [4721] 1.470418e+01 1.017051e+01 2.581257e+01 1.513672e+01 4.474633e-01
## [4726] 7.269169e+00 9.878659e+00 1.231738e+01 3.647229e+00 2.938054e+01
## [4731] 2.961999e+00 6.089232e+00 8.635341e+00 1.324552e+00 5.431967e+00
## [4736] 3.895882e+00 1.879367e+01 5.319586e+00 1.056201e+00 4.860279e-01
## [4741] 4.428829e+00 1.452672e+01 1.355795e+01 1.572110e+01 2.849655e+01
## [4746] 3.448341e+01 4.012092e+00 4.013983e+01 2.250724e+00 1.003368e+01
## [4751] 1.388366e+01 2.009950e+00 1.268418e+00 1.593137e+01 4.633511e+01
## [4756] 8.900385e+00 2.458535e+00 3.247226e+01 5.599176e+01 8.807702e-02
## [4761] 1.203531e+01 1.486747e+01 2.825212e+00 8.954721e+00 2.784835e+00
## [4766] 2.285389e+01 1.975075e+01 5.812571e+00 2.286463e+01 3.206563e+01
## [4771] 9.559592e+00 4.600619e+01 2.309831e+00 2.855927e+00 3.513806e+00
## [4776] 3.554557e+01 2.925007e+01 3.264695e+01 6.309861e+00 4.610411e+01
## [4781] 9.557546e+00 9.348266e-01 5.783281e+00 6.169171e+00 2.439261e+00
## [4786] 2.338381e+01 6.633708e+00 2.180903e+00 1.037685e+00 2.123698e+01
## [4791] 8.147241e+00 3.431291e+01 1.870488e+01 4.669225e+00 2.507147e+01
## [4796] 1.122364e+01 2.749313e+00 1.964762e+00 1.944276e-01 2.638538e+01
## [4801] 1.889753e+00 5.560281e-01 3.806744e+00 2.098442e+01 2.705911e+01
## [4806] 3.781062e+00 5.035314e+01 2.533705e+01 1.232752e+01 1.751625e+01
## [4811] 2.740218e+01 5.442430e+00 1.402429e+01 2.840012e+01 8.865912e+00
## [4816] 1.656470e+00 3.133434e+00 4.649340e+00 9.551534e+00 1.358444e+01
## [4821] 8.158496e+00 6.565624e+00 2.517893e+01 1.073271e+01 1.281944e+01
## [4826] 2.500122e+00 7.264917e+01 1.059375e+01 9.692263e+00 3.120375e+01
## [4831] 2.658200e+00 2.228695e+00 8.445493e+00 4.306885e+01 2.295789e+01
## [4836] 4.256047e+01 1.393149e+00 1.684159e+00 5.360065e+00 3.635083e+00
## [4841] 3.558814e+01 3.652388e+00 2.694900e+00 1.262327e+00 1.914135e+01
## [4846] 1.662448e+01 4.356038e-01 2.745832e+00 2.638417e+01 3.599794e+01
## [4851] 4.241472e+01 5.930589e+00 3.075684e+00 3.917876e+00 6.317086e+00
## [4856] 7.282927e-01 4.410262e+00 1.224555e+01 4.227695e-01 6.343145e+00
## [4861] 3.801976e+00 1.178428e+01 1.871601e+01 2.010245e+00 3.286039e-01
## [4866] 1.313039e+01 1.577593e+01 2.004931e+01 5.850411e+00 1.122344e+01
## [4871] 8.625280e+00 4.477848e+00 2.346142e+00 1.039954e+00 2.789063e+00
## [4876] 4.554806e+00 7.007797e+00 1.245294e+01 1.348541e+01 3.892932e+01
## [4881] 1.388091e+01 1.020119e+01 1.272513e+01 1.073525e+01 7.855626e+00
## [4886] 1.102457e+01 6.346692e+00 4.366815e+00 8.248352e+00 2.175389e+01
## [4891] 4.019872e+01 4.941510e+00 3.427791e+01 1.017711e+01 1.651264e+01
## [4896] 2.815825e+00 8.252494e+00 1.038148e+01 2.610185e+01 3.297806e+01
## [4901] 2.094966e+00 1.444300e+01 2.198288e+01 5.024177e-01 7.693383e+00
## [4906] 5.112519e+00 2.686436e+01 2.292975e+01 4.638250e+01 5.311589e+00
## [4911] 1.662572e+01 2.688576e+01 4.170738e+00 2.162922e+01 1.844726e+01
## [4916] 1.259421e+01 1.151818e+01 7.799336e+00 1.287013e+00 3.835576e+01
## [4921] 7.363158e+00 8.604045e+00 3.943756e+00 8.999050e+00 1.784521e+01
## [4926] 2.149156e+01 1.352666e+01 2.118374e+00 1.407992e+01 1.246479e+01
## [4931] 3.148766e+00 7.351196e+00 5.923406e+00 1.636125e+00 5.109783e+00
## [4936] 1.159742e+01 1.266419e+01 1.216828e+01 5.826342e+00 6.999098e+00
## [4941] 1.109640e+01 9.578218e+00 3.563212e-01 1.335987e+01 1.305959e+01
## [4946] 1.839187e+01 6.264640e+00 1.572578e+00 1.384290e+00 1.063681e+01
## [4951] 1.594060e+01 4.041649e+01 3.644776e+00 1.793609e+01 5.378189e+00
## [4956] 8.979967e+00 2.079407e+00 6.866625e+00 1.435478e+01 1.969601e+01
## [4961] 2.326858e+00 2.936097e+01 2.388855e+01 9.742207e-01 2.854316e+01
## [4966] 1.395080e+01 1.014266e+00 9.627944e+00 8.544063e+00 2.157340e+01
## [4971] 6.327392e+00 2.573558e+00 5.714687e+00 4.717930e+00 2.601089e+01
## [4976] 1.999607e+01 1.305193e+01 1.258724e+01 1.412365e+01 1.861481e+01
## [4981] 6.824901e+00 2.071869e+00 8.173084e+00 2.080269e+01 4.677034e-01
## [4986] 2.218591e+01 2.826627e+00 1.968918e+01 1.918550e+00 1.554472e+00
## [4991] 4.627122e+00 2.213277e+01 9.012142e+00 1.130554e+01 2.102429e+01
## [4996] 3.934585e-01 1.061722e+01 1.116662e+01 6.856682e+00 1.093541e+01

# b) Histograma de los tiempos entre llegadas
hist(tiempos,
     main = "Tiempos entre llegadas de solicitudes (Exponencial)",
     xlab = "Minutos entre llegadas",
     col = 24)

3. Duración de la atención Cada ingeniero tarda en promedio 30 minutos en resolver un ticket, con una desviación estándar de 5 minutos.

1. Simule 5000 atenciones.
2. Grafique el histograma con la curva normal teórica.
3. Determine la proporción de atenciones que superan los 35 minutos

# metodo normal
# Media = 30 min, Desv. Est. = 5 min
set.seed(123)                   
duraciones <- rnorm(5000, 30, 5)

# a) Los 5000 tiempos simulados
duraciones

##    [1] 27.19762 28.84911 37.79354 30.35254 30.64644 38.57532 32.30458 23.67469
##    [9] 26.56574 27.77169 36.12041 31.79907 32.00386 30.55341 27.22079 38.93457
##   [17] 32.48925 20.16691 33.50678 27.63604 24.66088 28.91013 24.86998 26.35554
##   [25] 26.87480 21.56653 34.18894 30.76687 24.30932 36.26907 32.13232 28.52464
##   [33] 34.47563 34.39067 34.10791 33.44320 32.76959 29.69044 28.47019 28.09764
##   [41] 26.52647 28.96041 23.67302 40.84478 36.03981 24.38446 27.98558 27.66672
##   [49] 33.89983 29.58315 31.26659 29.85727 29.78565 36.84301 28.87115 37.58235
##   [57] 22.25624 32.92307 30.61927 31.07971 31.89820 27.48838 28.33396 24.90712
##   [65] 24.64104 31.51764 32.24105 30.26502 34.61134 40.25042 27.54484 18.45416
##   [73] 35.02869 26.45400 26.55996 35.12786 28.57613 23.89641 30.90652 29.30554
##   [81] 30.02882 31.92640 28.14670 33.22188 28.89757 31.65891 35.48420 32.17591
##   [89] 28.37034 35.74404 34.96752 32.74198 31.19366 26.86047 36.80326 26.99870
##   [97] 40.93666 37.66305 28.82150 24.86790 26.44797 31.28442 28.76654 28.26229
##  [105] 25.24191 29.77486 26.07548 21.66029 28.09887 34.59498 27.12327 33.03982
##  [113] 21.91059 29.72219 32.59704 31.50577 30.52838 26.79647 25.75148 24.87936
##  [121] 30.58823 25.26263 27.54721 28.71954 39.21931 26.74025 31.17693 30.38980
##  [129] 25.19072 29.64346 37.22275 32.25752 30.20616 27.88752 19.73376 35.65669
##  [137] 22.69680 33.69974 39.54552 22.78053 33.50892 28.68901 22.13928 22.42666
##  [145] 21.99232 27.34547 22.69122 33.43958 40.50054 23.56485 33.93869 33.84521
##  [153] 31.66101 24.95812 29.40274 28.59802 32.81495 28.13781 34.88487 28.12710
##  [161] 35.26356 24.75411 23.69922 46.20520 27.91571 31.49114 33.18285 27.58110
##  [169] 32.58431 31.84482 28.92310 30.32647 29.82966 40.64226 26.29332 24.52002
##  [177] 30.18894 31.55240 32.18262 27.70817 24.68337 36.31593 28.25175 25.67244
##  [185] 28.81860 29.01412 35.54960 30.42369 33.77027 27.50354 31.07223 28.37657
##  [193] 30.47292 25.52318 23.44599 39.98607 33.00354 23.74364 26.94417 24.07260
##  [201] 40.99405 36.56206 28.67427 32.71597 27.92830 27.61877 26.05699 27.02691
##  [209] 38.25454 29.72986 30.59623 31.21844 36.16238 27.41968 25.03746 38.37848
##  [217] 27.79418 26.38467 23.81863 23.57642 27.13013 33.08993 35.54924 33.53794
##  [225] 28.18171 30.29875 26.47702 26.41391 34.42325 24.92204 39.77647 29.54840
##  [233] 31.07269 26.30736 27.12806 23.41492 29.08537 32.09491 31.62152 26.09232
##  [241] 26.05689 27.48901 37.48030 24.31348 29.10474 39.51181 29.49513 23.20080
##  [249] 26.67615 32.42730 28.12199 27.19062 28.28041 30.45248 37.99254 29.55717
##  [257] 35.40400 33.15377 29.43180 22.33549 27.39441 27.55065 30.23577 36.50099
##  [265] 41.46539 37.73791 29.33425 21.21736 28.05610 30.44604 34.22507 34.81264
##  [273] 33.42155 23.02363 34.24822 27.76721 30.87401 30.37276 32.14083 30.12337
##  [281] 21.66262 33.68248 31.93013 28.67174 30.59072 30.67019 31.10510 38.20423
##  [289] 28.90475 30.84033 35.84192 35.27091 35.72632 27.11266 40.01241 30.33350
##  [297] 39.33426 23.24549 30.10492 36.24957 26.42379 26.23656 25.30731 24.73743
##  [305] 27.81420 31.65590 19.92895 31.05990 36.18338 40.18787 36.50588 33.78387
##  [313] 21.36635 26.99247 28.23977 33.51762 29.47164 23.70676 38.42218 34.55696
##  [321] 31.18715 36.09054 23.30613 33.30410 27.38544 33.41873 29.69589 33.16480
##  [329] 36.67759 30.03645 35.08779 24.05783 26.39198 37.59609 31.88694 19.73889
##  [337] 23.17981 28.99609 34.32890 29.49058 33.12094 34.79503 38.35527 30.28008
##  [345] 29.74009 21.23381 30.49664 27.14075 25.12995 29.10047 35.07472 20.03626
##  [353] 27.86360 30.58319 25.53396 31.66951 32.05715 29.83482 17.67051 42.85729
##  [361] 28.97350 33.25597 31.36883 35.12337 34.08830 28.95103 31.89084 25.27296
##  [369] 34.28462 27.69481 42.08387 21.74476 27.68006 34.12690 32.55066 27.05259
##  [377] 25.01610 30.72238 29.92846 21.04859 30.17276 30.95115 30.87363 24.72491
##  [385] 32.38067 36.89285 32.28118 24.32206 27.82177 31.73052 26.76477 19.21177
##  [393] 34.42125 25.85261 27.13220 37.51950 26.12928 34.22866 23.69659 28.22729
##  [401] 29.63222 24.15674 26.82626 29.85579 33.35348 21.74727 28.25123 33.78203
##  [409] 27.30595 31.13646 32.46114 31.33918 33.26629 29.38646 27.93162 16.78426
##  [417] 29.53529 32.15142 32.67699 27.22361 38.89751 31.43212 30.63158 36.36133
##  [425] 26.40767 27.74831 41.98726 30.05565 38.16784 22.80747 29.04742 31.89212
##  [433] 31.50019 24.97182 30.09630 24.61290 33.56352 35.42388 18.87506 36.17847
##  [441] 23.79478 32.27385 33.29951 29.00055 26.77443 30.82661 32.19409 34.41651
##  [449] 19.73832 21.81810 37.15201 35.23314 32.17644 33.57589 34.58587 16.69539
##  [457] 35.55139 27.57506 31.15308 28.52421 34.35982 28.25764 32.59252 28.04658
##  [465] 24.53606 36.05005 33.70450 38.62131 30.32577 35.62501 39.87710 28.59259
##  [473] 23.38524 28.80324 28.92979 30.75840 38.56152 28.36928 31.86502 28.86158
##  [481] 30.10225 31.57029 36.64107 30.60659 33.56421 33.89430 34.57387 27.12803
##  [489] 38.13441 28.09522 29.47108 37.02025 36.47042 24.55004 25.63464 23.20960
##  [497] 30.90924 30.82420 31.82057 32.76079 26.99054 25.03151 35.13393 33.75531
##  [505] 22.45417 29.52426 25.52026 19.64624 30.75060 29.60394 29.51315 31.08076
##  [513] 34.41233 31.02799 26.91782 26.32600 29.34099 31.55008 24.80160 29.07846
##  [521] 34.83634 29.45860 26.50790 28.62027 35.57324 32.75022 36.18338 30.69549
##  [529] 32.05138 27.20772 33.02685 27.46833 22.89717 30.63996 39.72926 34.00457
##  [537] 35.82627 31.79428 26.95721 28.98880 28.63376 27.65650 33.52084 24.01318
##  [545] 34.33183 34.32076 24.00689 33.19746 42.15113 27.21392 34.22452 26.08899
##  [553] 35.55356 31.24912 38.25958 22.70515 29.74351 27.36537 29.01368 26.85211
##  [561] 25.83078 32.89361 24.56210 37.42015 24.06897 30.50540 32.66495 32.93368
##  [569] 28.49127 30.39751 34.80632 22.71767 26.09130 31.60201 27.77609 36.85002
##  [577] 33.36627 30.36083 22.46121 30.13050 28.41792 29.48827 24.09220 32.49329
##  [585] 24.80522 28.86889 31.90713 26.08242 32.91496 23.41745 15.95113 32.32484
##  [593] 34.20270 28.57077 32.52063 24.22042 29.36426 20.29241 35.90590 39.29955
##  [601] 35.37006 29.86327 29.83335 22.41966 33.95193 28.94633 26.71629 22.93987
##  [609] 28.50119 25.75469 28.01485 23.91200 38.43795 29.91999 35.37473 16.99150
##  [617] 27.73401 26.62259 23.88537 37.73305 22.92359 31.59195 34.23218 30.89095
##  [625] 25.62372 34.70583 30.85294 24.68251 23.05975 40.43359 26.60748 20.72214
##  [633] 32.66630 31.55115 23.23083 20.28522 29.41849 35.69698 33.18062 27.53531
##  [641] 25.82906 31.35533 30.78677 33.14856 28.02101 34.49677 25.84594 28.34728
##  [649] 33.70407 34.94986 20.30748 30.53595 33.04390 22.74588 32.40313 25.85913
##  [657] 35.10127 32.69241 33.84526 30.60360 34.31824 36.90257 39.83124 29.85802
##  [665] 18.75474 30.15763 31.02781 29.22327 32.84144 35.05339 27.41009 28.52952
##  [673] 31.98921 27.24888 30.45634 20.19146 24.40050 23.36122 25.73188 26.53348
##  [681] 31.91153 34.91057 26.36308 25.01581 24.79156 27.92706 28.80485 32.41809
##  [689] 28.39338 19.60755 29.54283 35.93593 35.95801 26.05518 22.26112 42.29030
##  [697] 29.18789 29.51274 32.10287 21.92980 26.35890 22.29779 26.53453 30.59425
##  [705] 23.17645 32.94991 31.44672 25.47892 31.13162 33.74041 35.30548 28.93576
##  [713] 29.53182 29.56643 37.20731 35.62536 34.17201 28.56330 31.86621 32.01645
##  [721] 24.79163 21.35848 33.20915 22.35345 30.00842 31.25124 32.81934 30.94713
##  [729] 26.33573 34.93183 38.69317 34.40589 20.28175 36.99788 29.71972 32.62457
##  [737] 33.11017 29.51657 29.62368 35.09579 33.55801 34.95131 41.91463 33.32208
##  [745] 31.03691 18.94683 43.45857 27.58662 41.87367 31.87322 37.69215 29.45145
##  [753] 32.55735 31.06979 29.06940 29.39803 35.06417 28.99271 19.81159 29.02055
##  [761] 32.69895 33.08228 33.08284 21.53949 31.84371 34.83930 36.38289 28.87519
##  [769] 28.39054 37.43919 21.66036 27.81585 32.28731 21.91113 31.39814 39.38932
##  [777] 29.97970 28.60773 32.37456 28.60464 34.06700 34.52218 30.01346 24.11654
##  [785] 23.40890 27.03501 33.98690 20.20897 20.56837 26.73110 31.97197 25.43217
##  [793] 34.43375 31.66685 29.14680 34.09414 31.94183 27.77032 31.15557 33.23757
##  [801] 31.78142 26.70995 34.27601 35.76468 31.38137 30.72052 29.62187 40.80708
##  [809] 31.38158 29.20853 17.46041 22.17359 29.61163 31.03147 31.38436 34.10753
##  [817] 29.02924 36.07294 25.39242 23.95779 23.85507 33.71149 29.58540 33.94909
##  [825] 28.66147 27.04054 28.15824 20.73692 24.15192 22.78983 35.27161 27.01335
##  [833] 33.94730 37.58245 29.04113 31.41939 21.24466 25.90665 30.28107 31.49543
##  [841] 26.20301 43.42429 27.70805 30.32122 33.24896 29.86991 26.78216 35.22653
##  [849] 38.07773 29.85153 32.81134 29.51294 35.08228 24.21916 41.60430 26.98234
##  [857] 22.70575 28.24541 30.73354 38.11811 34.55605 30.71229 23.05258 25.66981
##  [865] 29.18358 42.76513 20.69886 35.65527 27.36383 38.32995 24.30400 30.71812
##  [873] 24.50225 34.51758 37.41890 39.75361 33.98800 39.21633 36.23212 29.34063
##  [881] 32.38519 25.14003 29.07399 36.10482 32.70642 32.28679 24.80934 26.97743
##  [889] 26.17697 31.97648 25.04746 32.81021 24.41792 39.14265 32.30296 26.49498
##  [897] 31.20523 28.23773 31.85574 31.21766 24.92943 26.04343 31.49797 38.19526
##  [905] 35.42309 26.87716 34.12961 29.75716 31.50657 31.30181 42.87725 24.07356
##  [913] 30.50460 21.10011 32.94918 35.48304 37.22831 20.37427 32.06385 37.96685
##  [921] 27.92992 28.93925 29.81731 31.82509 33.32580 36.58910 29.52256 30.98139
##  [929] 42.43999 32.15549 30.94377 23.28878 30.01428 28.89337 29.94477 27.12291
##  [937] 26.56592 26.39613 28.92748 36.84066 35.24543 28.20012 21.57042 25.77708
##  [945] 27.71120 30.51819 26.68696 40.03340 28.63866 23.93028 29.29369 24.97311
##  [953] 30.78078 31.16817 31.77794 21.89071 31.10356 31.55225 22.89446 34.77683
##  [961] 33.92085 41.49810 30.78351 30.23367 30.48293 30.34883 20.75764 21.64436
##  [969] 29.61231 27.09466 30.27368 19.44396 22.50651 24.49258 34.93029 24.50755
##  [977] 26.00243 30.39937 28.38627 30.73209 41.52531 24.37698 28.47265 27.41620
##  [985] 37.56198 26.15258 29.58957 33.93567 24.70705 38.27588 33.37881 24.62897
##  [993] 32.27289 28.93346 31.56614 29.55012 35.35258 23.24450 27.38692 28.75405
## [1001] 25.02101 24.80022 29.91010 29.33912 17.25329 35.20287 31.24863 42.08104
## [1009] 33.42599 27.76520 43.98696 44.16113 23.90644 32.34516 28.94377 30.93526
## [1017] 31.13771 23.69050 31.42795 38.74624 29.17955 29.18537 36.99286 34.49198
## [1025] 21.75753 31.14278 38.26774 37.07638 32.09976 33.60610 24.01532 31.50066
## [1033] 25.22776 27.70991 34.67802 24.31553 31.33459 32.14166 30.27456 39.11094
## [1041] 24.88826 33.03065 29.55535 28.69584 32.32046 24.89800 23.43275 27.52760
## [1049] 38.75879 30.27882 31.65717 29.05077 32.35246 25.24160 35.78955 32.92353
## [1057] 25.96774 30.27277 33.58166 32.78865 37.40967 26.93506 35.58068 35.18274
## [1065] 29.18758 25.12037 24.55427 32.28893 29.64437 38.89551 32.67569 28.14028
## [1073] 24.87229 27.08799 31.71444 27.74533 32.57115 28.32831 29.47220 26.34745
## [1081] 39.52522 31.66311 31.15317 21.54069 33.29896 24.88188 25.54239 34.59171
## [1089] 27.73650 21.25814 38.84952 18.11297 32.86406 35.08625 26.84516 32.22144
## [1097] 32.19565 35.20312 32.42050 28.77558 34.57996 34.00311 25.31715 22.99606
## [1105] 30.80139 28.63019 25.07230 30.41965 23.40002 30.80613 26.87536 34.78582
## [1113] 42.12245 25.42010 35.28832 34.12575 29.64903 27.73177 37.87654 19.97271
## [1121] 26.78403 22.81578 36.97657 29.04648 27.37664 45.92022 29.74981 27.78125
## [1129] 31.49933 22.15788 32.45151 29.51918 32.34263 25.08815 24.88508 26.53293
## [1137] 26.16005 36.49525 37.89573 29.21554 28.20532 28.35481 30.34618 30.48452
## [1145] 31.45017 26.26661 25.76552 35.98539 27.25686 31.51523 29.71515 25.21075
## [1153] 32.95531 30.86552 36.99892 30.58730 28.34227 31.39147 24.07204 25.82053
## [1161] 32.55137 28.33440 29.67020 29.42389 26.74744 19.90656 31.74417 33.80820
## [1169] 23.55642 37.41201 31.92577 36.70820 25.21415 30.83391 29.49993 33.84254
## [1177] 27.12070 29.94951 21.10670 26.11189 30.62517 26.46839 29.78215 27.66037
## [1185] 33.03465 35.84244 25.88749 28.46482 37.19881 19.00538 28.40081 40.32352
## [1193] 40.96795 30.78298 25.68196 30.82729 26.73613 37.26409 25.96759 31.86456
## [1201] 33.09925 26.21245 34.25762 26.26035 33.15120 35.48331 25.05779 35.53998
## [1209] 27.55234 31.47177 31.00919 27.86402 31.34051 23.84785 29.31932 34.12895
## [1217] 19.12938 22.56037 24.19031 22.05455 32.09792 25.03536 19.17726 26.81216
## [1225] 28.04682 34.28393 24.48124 35.80645 31.99181 31.81176 25.73737 39.76834
## [1233] 29.17865 20.87551 28.98072 20.32778 28.44745 27.88886 33.40915 35.04748
## [1241] 26.36948 34.03054 37.12162 26.07928 26.73798 33.25389 30.91524 32.74387
## [1249] 37.02342 31.93542 35.25851 33.11453 32.16810 31.93042 36.45662 24.98870
## [1257] 24.47409 32.95973 29.40155 30.37003 33.70639 33.76648 28.68665 28.43728
## [1265] 30.36799 35.31509 32.13010 37.16504 29.96182 35.62834 34.41501 33.06042
## [1273] 32.07350 28.60059 29.45481 31.14698 30.24444 34.71612 29.45341 29.64812
## [1281] 27.57840 29.30832 29.65617 18.43132 23.17584 29.63757 28.67358 23.99565
## [1289] 20.04231 28.22815 33.26748 38.86619 29.80772 37.46592 30.41511 30.57766
## [1297] 31.62413 25.64711 29.74141 34.54224 26.25137 28.39197 24.26115 31.77176
## [1305] 32.12400 33.24174 23.90095 30.53618 25.27971 29.99808 36.71312 27.48237
## [1313] 33.58342 26.25166 27.60736 32.19361 26.60444 21.48518 36.32584 31.80179
## [1321] 27.08180 20.02961 39.51105 46.95185 31.03740 34.24903 36.12280 26.49098
## [1329] 28.24402 21.36439 26.31711 33.11205 28.54642 28.92894 29.43720 20.68167
## [1337] 34.18815 22.78254 28.95715 27.80718 28.90703 37.29983 27.08970 26.08451
## [1345] 22.40173 25.97151 24.16908 32.03973 25.68498 31.52021 29.26786 22.83219
## [1353] 26.04696 34.42556 34.51538 40.02787 29.98210 22.52087 26.15791 32.04244
## [1361] 39.50068 30.55005 35.70193 33.84041 24.15954 29.14444 36.52631 34.38048
## [1369] 32.31898 32.38557 27.54297 23.40307 36.47713 22.89890 25.30552 33.14482
## [1377] 23.68903 27.24065 24.08600 33.10332 32.23157 32.10942 32.21232 32.78623
## [1385] 33.19678 20.15669 29.25592 30.56232 33.62338 24.06257 27.50200 24.63179
## [1393] 35.28620 36.39536 33.93838 23.88798 32.25976 35.75225 30.83970 27.16945
## [1401] 24.56941 26.67349 33.57424 27.84169 31.13807 36.47473 32.89167 36.82336
## [1409] 21.49210 28.59662 30.32534 32.89295 24.15397 34.03092 31.53695 31.31903
## [1417] 32.54242 29.41821 34.62773 33.24115 29.24895 35.20189 31.46279 33.34376
## [1425] 27.02911 37.90216 29.98006 34.23921 29.49942 28.60185 33.92219 22.07692
## [1433] 32.39183 31.96783 16.52335 31.84189 19.15791 33.29902 27.73043 26.52532
## [1441] 29.96577 36.86526 26.82338 32.79052 31.70579 24.10241 21.29489 20.03707
## [1449] 32.75637 29.82629 39.25286 32.86838 34.24848 36.67192 27.49640 32.55049
## [1457] 34.34397 36.84676 33.81326 32.10574 25.65888 33.64780 32.50133 33.17125
## [1465] 32.11823 28.99081 29.61567 33.43682 30.85816 25.84946 28.54920 23.40437
## [1473] 25.16484 29.27694 21.00934 21.55729 35.51283 27.11691 20.74154 29.43568
## [1481] 36.60535 33.31127 32.20692 35.91873 26.14249 33.64845 27.06457 30.00382
## [1489] 41.07233 34.84717 33.84004 24.45836 26.06882 41.42058 24.53350 31.07240
## [1497] 34.46286 35.09379 35.44556 29.18436 25.89507 28.46371 25.48951 33.13534
## [1505] 35.60178 40.63607 31.83057 25.62609 35.12237 34.52379 28.80876 22.21073
## [1513] 33.80655 35.64572 28.52446 32.68121 28.62055 33.41158 29.41355 28.27662
## [1521] 30.55810 28.58297 27.04491 28.42032 29.95924 31.03748 37.66212 23.21001
## [1529] 29.00190 33.15762 38.81010 32.13007 29.93123 28.46222 32.07154 34.94529
## [1537] 29.08071 30.81881 31.08468 33.64639 35.55690 31.39580 29.61915 36.97332
## [1545] 30.82267 37.88926 29.69039 33.06961 22.26956 29.43804 29.89103 26.20827
## [1553] 24.82054 34.74080 34.57079 23.50634 32.12189 24.43727 24.74463 32.62706
## [1561] 26.56988 34.96740 30.19262 32.68074 27.38187 24.24389 34.57376 31.19036
## [1569] 28.80466 30.34618 36.62954 26.50917 26.25296 26.90192 22.07504 34.09814
## [1577] 30.96185 31.03586 29.78326 27.44920 25.88291 34.25928 22.86908 32.20149
## [1585] 26.03694 31.41155 26.29655 27.38329 38.84683 33.34141 19.27551 30.63206
## [1593] 27.74094 24.31687 31.04893 30.64983 28.35747 39.86352 18.75655 34.19110
## [1601] 28.55488 33.28257 27.73001 27.03068 21.44810 28.95276 42.39373 34.94851
## [1609] 38.37786 34.57483 35.72131 34.51438 32.37696 27.08736 27.33533 21.99580
## [1617] 29.97091 34.49678 35.15961 30.47566 27.26186 46.45259 33.68343 37.10288
## [1625] 28.31160 29.81021 32.24304 38.38261 28.44263 34.26808 19.52593 27.46373
## [1633] 23.53995 35.56681 29.17773 28.04813 36.84550 35.58136 25.50989 32.13933
## [1641] 23.85778 27.62192 38.08289 37.25064 35.54509 27.14548 20.59284 24.12151
## [1649] 34.76278 28.54716 19.18696 29.09906 37.05120 33.21734 25.89371 22.27042
## [1657] 25.86726 30.17264 34.44037 20.30030 35.11601 30.02729 32.84889 21.73372
## [1665] 26.66673 27.75883 35.21946 35.14087 32.17545 38.02106 27.42294 35.06269
## [1673] 29.82030 26.66329 34.61690 36.90550 34.39125 27.45298 27.65106 36.88838
## [1681] 31.76413 34.14787 28.30649 36.30517 25.95622 33.12676 25.91413 17.68712
## [1689] 23.28521 30.68148 34.41461 21.24349 23.74288 38.82273 27.83050 32.52850
## [1697] 27.36532 28.50709 30.43622 30.05481 29.03720 27.65102 14.76070 39.34328
## [1705] 38.95212 24.49459 29.15946 36.87638 34.99145 36.38301 24.64127 42.88634
## [1713] 24.33270 33.76958 30.70638 27.98145 28.10292 25.04302 38.11330 30.44757
## [1721] 31.29609 31.04816 28.12415 24.32989 31.26863 19.53180 22.90717 24.61802
## [1729] 24.60661 30.53594 37.99244 22.42338 32.16838 34.49772 25.05234 29.73600
## [1737] 34.11805 28.72245 28.89658 31.53863 29.69993 27.22174 29.30692 39.41420
## [1745] 34.36834 25.42701 23.77541 28.20009 36.64387 31.46340 26.49247 34.41117
## [1753] 29.33315 24.39661 32.30596 37.62071 32.17234 30.96000 26.71878 32.84199
## [1761] 24.64715 21.73425 29.78324 29.82703 41.82528 23.91826 30.85453 34.02527
## [1769] 35.25296 29.94638 26.28372 29.67108 39.69878 32.41370 19.77761 37.11730
## [1777] 32.70251 29.83214 29.91068 29.25105 31.28280 27.48067 31.38506 25.34322
## [1785] 31.00073 35.53419 32.54603 35.16875 24.54566 30.27396 33.08625 24.65998
## [1793] 37.82907 24.82596 30.82259 30.75916 30.60835 28.94788 32.24968 24.84418
## [1801] 23.55318 26.72716 29.71338 36.28374 37.93727 31.59741 31.90796 28.78178
## [1809] 30.24027 22.97727 31.44967 27.32223 31.67339 28.27009 26.69192 28.90444
## [1817] 28.16548 35.47289 31.04604 32.16246 23.79573 37.48411 30.79685 25.71859
## [1825] 31.54523 34.35217 23.08161 38.45053 29.20985 35.60585 30.36131 28.33789
## [1833] 20.82540 24.49914 29.79330 34.13926 20.59161 36.87721 36.99495 24.28342
## [1841] 32.36150 24.83180 29.37400 34.64331 34.34170 25.75413 28.06682 25.11918
## [1849] 31.69772 22.20462 16.85337 37.34906 41.36736 27.72483 33.80551 29.96249
## [1857] 37.37157 32.77072 31.01832 21.00432 35.41478 28.24573 22.98255 28.99102
## [1865] 29.36611 35.29603 24.16302 27.21178 37.44060 36.79333 35.81607 38.30762
## [1873] 31.02015 27.09058 32.77602 35.29362 42.06817 20.17509 31.36618 33.27397
## [1881] 29.72701 22.21089 33.70750 26.10457 32.52931 34.53776 36.41979 22.21068
## [1889] 35.40871 26.21509 23.55490 36.57160 35.73130 28.78708 33.79770 25.69837
## [1897] 29.24484 29.53138 28.59630 33.67049 37.68664 27.72114 29.83671 38.18379
## [1905] 28.35479 16.97981 32.56992 25.56766 25.00731 37.10408 42.23999 24.80109
## [1913] 35.15513 29.52926 30.70904 36.11118 31.06837 25.74317 27.64796 33.43068
## [1921] 18.32026 35.47622 22.16425 30.10966 29.04821 36.46535 30.94425 30.50970
## [1929] 33.49068 25.86493 29.02051 35.88792 33.41737 23.62252 33.18978 23.11205
## [1937] 27.00845 36.05460 18.74477 21.10493 36.50686 25.92604 36.21854 29.15875
## [1945] 32.13888 34.06639 26.74394 28.47705 27.92451 44.08042 30.63074 32.36400
## [1953] 28.29623 28.79105 36.89377 28.30558 30.10068 31.88481 27.84138 39.79532
## [1961] 22.85770 40.05646 28.24204 36.78560 20.00411 34.78040 34.38216 23.64392
## [1969] 26.15838 30.96762 35.71918 26.17000 28.87937 37.85673 24.36326 34.73897
## [1977] 32.24384 24.47093 26.66066 33.91639 31.24480 37.12549 26.99108 21.42756
## [1985] 35.23913 26.95689 30.60170 38.59521 28.74793 37.74778 24.51430 34.62756
## [1993] 31.23400 26.31614 23.59996 30.38322 31.27582 31.38723 32.68428 27.69757
## [2001] 27.44198 31.18469 27.29205 36.09614 30.87068 26.92366 20.96554 26.78159
## [2009] 40.23009 27.19619 25.82000 33.26474 32.20647 33.75815 28.61012 35.61327
## [2017] 24.13696 29.75562 26.47930 33.40379 30.65003 35.54854 40.29250 30.70328
## [2025] 27.32692 25.88242 28.68483 29.65199 39.95901 24.35445 24.53391 27.96017
## [2033] 32.93780 34.10556 25.46033 30.63519 29.78554 35.97603 35.44596 28.43860
## [2041] 30.22997 33.26361 21.73254 28.44865 32.87436 27.38384 29.70041 29.89496
## [2049] 26.38173 25.02760 29.00066 28.26486 34.17048 37.64941 29.94039 31.99336
## [2057] 29.64792 33.00680 31.09248 31.18298 35.56458 25.06289 37.23932 31.74556
## [2065] 30.90411 27.19879 29.18061 31.86842 19.68143 26.99239 32.92996 28.52759
## [2073] 25.99736 26.82153 31.17875 21.82584 34.35615 19.15533 27.48330 26.06409
## [2081] 23.75700 24.61046 31.25039 29.40113 28.49574 18.39618 23.37840 29.34346
## [2089] 25.60982 26.01616 35.24770 30.87794 24.78078 27.65652 28.57548 26.59852
## [2097] 25.17973 29.74098 33.70597 31.13426 28.99926 31.93910 33.96959 29.29743
## [2105] 32.27903 24.27214 28.75175 27.89851 30.97832 31.78660 29.38191 26.16893
## [2113] 25.35143 31.39260 36.78418 26.06432 28.07601 31.65340 27.22690 30.60786
## [2121] 29.76202 26.11874 34.15721 34.23154 35.12070 36.33998 27.46819 27.67759
## [2129] 31.30609 33.15040 28.30187 27.88328 26.90864 37.41101 17.45917 29.16211
## [2137] 30.19106 24.70195 31.92713 20.16456 34.77484 21.68320 18.98633 26.18218
## [2145] 30.81040 26.74216 27.20357 31.66602 24.70550 29.57075 32.48966 38.16995
## [2153] 32.39726 38.57381 32.26580 29.98379 18.71733 23.87671 28.40519 33.56135
## [2161] 28.38743 32.71824 24.68094 28.62935 31.08503 28.20307 30.56416 26.64626
## [2169] 31.87173 29.59473 29.76475 20.25606 26.63166 22.55178 21.97141 27.53058
## [2177] 29.19601 31.41800 35.45631 32.22200 35.06035 27.36845 28.46080 35.42584
## [2185] 30.00604 21.59878 25.76722 35.03796 26.94631 31.66722 30.07111 27.51821
## [2193] 28.24607 31.95860 31.04789 36.17335 29.00090 25.38396 30.82952 33.52667
## [2201] 41.40983 27.68158 28.36823 34.41247 36.40643 26.70659 33.32285 27.17421
## [2209] 25.18911 33.11680 30.53249 31.94665 27.09748 38.97489 33.32644 28.12799
## [2217] 33.51374 23.92743 29.31125 37.01679 29.05580 34.55245 28.89039 18.50987
## [2225] 25.59894 31.11368 37.23276 27.03299 31.37990 25.17590 24.91772 26.11342
## [2233] 36.84531 34.70155 32.96833 35.57731 27.87788 33.79788 31.04815 24.75450
## [2241] 25.84469 30.25026 31.02815 28.39321 25.01754 19.54554 32.12618 28.52364
## [2249] 32.74580 22.27054 23.73332 29.44334 22.93593 20.08523 33.91798 34.50435
## [2257] 24.85018 28.63971 24.33014 31.58213 29.85161 25.65270 26.12891 24.68959
## [2265] 32.18187 32.85504 31.88237 25.78555 21.06915 32.65438 29.11471 29.80304
## [2273] 35.16064 25.53242 35.72008 27.93404 26.43406 28.97127 31.95010 28.96392
## [2281] 25.49746 28.59188 17.29034 27.45744 32.27983 29.15370 33.44164 32.42991
## [2289] 33.22823 33.28022 21.30710 30.02080 38.15034 27.59757 32.26401 30.71697
## [2297] 32.78506 28.63985 26.75850 30.35980 31.03907 29.07334 30.15720 32.05676
## [2305] 26.11908 35.69839 41.00380 37.38603 27.72791 20.88556 30.27099 34.40137
## [2313] 33.89053 23.85127 24.43426 30.66872 33.13041 34.36466 34.08196 25.16012
## [2321] 23.43697 19.93740 32.52466 34.14056 31.67925 24.70438 37.83858 28.14927
## [2329] 38.89519 32.75701 35.95155 31.65301 29.67674 24.93726 27.20743 29.76446
## [2337] 31.41037 29.83390 29.11014 30.91743 27.37814 27.32031 22.72148 34.23136
## [2345] 30.23466 29.58188 26.29541 28.76113 24.56609 24.75351 20.40524 34.90849
## [2353] 30.62982 24.41612 35.81893 33.12296 33.71191 28.87115 27.88564 29.50974
## [2361] 32.02345 33.99957 37.94735 27.45465 24.92218 30.50429 45.11052 27.85692
## [2369] 35.72841 28.78451 27.60728 26.44791 28.94378 38.20892 31.50923 32.43665
## [2377] 34.19368 40.35871 33.87809 22.86444 24.83244 22.05272 15.75727 36.45367
## [2385] 27.53138 31.97485 35.90809 27.44084 29.32516 31.75128 31.12940 26.12842
## [2393] 33.65408 32.72818 28.55775 23.88810 33.16667 37.13760 36.90259 34.36317
## [2401] 27.58432 27.34327 27.06158 27.94151 33.54593 31.28198 20.71820 20.69706
## [2409] 29.88583 30.74969 18.46263 25.91776 30.13781 37.30893 19.93566 23.72278
## [2417] 24.59847 30.87698 31.65420 28.39655 21.93836 26.84724 27.19757 28.98709
## [2425] 38.11443 26.61615 30.38132 26.47301 23.79886 33.17974 24.74686 43.67605
## [2433] 30.46281 30.30127 29.66727 39.21823 33.31964 28.74505 24.16905 24.80636
## [2441] 26.07505 36.07474 29.05509 26.21401 33.96030 36.72590 26.52734 27.77534
## [2449] 31.72642 29.97578 32.03183 38.57099 29.69807 28.59649 32.42707 29.75328
## [2457] 33.13883 28.88014 32.21761 22.18130 30.06952 27.41892 24.04729 27.93465
## [2465] 31.85997 30.46171 33.46742 34.70450 34.14232 28.37755 23.35922 28.59833
## [2473] 35.84828 29.39262 21.81354 32.45692 31.40910 27.99698 30.86681 36.84694
## [2481] 36.49598 27.71852 30.05332 22.72955 26.36123 40.04120 37.49005 28.85373
## [2489] 26.53767 23.16688 40.63026 30.57315 27.03026 35.39034 24.50207 33.63282
## [2497] 37.20435 28.94915 37.25640 33.20776 26.60596 32.87156 26.47743 27.33008
## [2505] 33.87192 27.62189 29.87786 35.09504 23.97210 37.97647 40.20978 33.07241
## [2513] 32.10966 27.51789 32.45481 27.49009 31.44085 26.56687 33.94202 33.45684
## [2521] 36.21500 39.91105 26.76779 34.83095 22.86366 27.71258 34.72733 26.30805
## [2529] 31.72820 25.49778 28.14825 29.79602 26.93841 20.27074 31.21548 32.37450
## [2537] 30.68357 27.55626 34.50102 35.38768 18.13165 35.62287 21.10226 28.27725
## [2545] 24.45413 26.84947 36.58442 32.67257 32.46949 19.61004 30.98163 33.14402
## [2553] 34.30474 25.13376 34.68772 23.02397 38.69372 26.00683 33.82512 31.58956
## [2561] 24.68200 35.72129 30.16688 34.09204 31.09096 34.34249 30.10840 35.57614
## [2569] 28.23910 32.63644 31.89286 34.21930 26.89479 30.88846 27.09917 34.54319
## [2577] 26.81657 38.66119 33.95186 29.93146 36.03098 29.57705 32.81631 32.64097
## [2585] 32.11519 27.01618 23.74578 21.59200 27.71852 33.41397 28.80481 23.98325
## [2593] 40.78239 33.51005 39.73309 36.06518 26.94310 27.94039 22.79660 33.70237
## [2601] 38.11830 25.39758 23.98901 34.41339 22.41760 39.60806 32.86068 21.42552
## [2609] 31.77459 30.52591 17.65793 29.79071 27.06370 25.56352 31.19358 34.25445
## [2617] 38.63504 16.83746 33.71806 25.23824 35.78165 31.72931 37.22479 22.58619
## [2625] 32.47316 31.47580 35.23931 28.84416 35.72008 27.77520 27.85381 30.12690
## [2633] 24.65374 27.71714 35.55002 38.25914 35.57127 27.87567 31.59240 30.49245
## [2641] 23.70486 31.28704 25.87853 24.69688 33.62753 26.46034 29.27976 25.13142
## [2649] 30.27972 32.46173 32.51273 24.62371 36.29021 37.46486 31.86455 30.78740
## [2657] 30.38671 31.28773 31.88212 30.68412 33.26912 28.32116 35.64672 29.81159
## [2665] 21.22153 29.50140 32.23510 36.15016 30.30105 20.29965 30.02416 24.00394
## [2673] 25.11947 24.87186 26.00387 35.68565 25.84236 27.80469 30.92087 34.45190
## [2681] 26.66647 25.86888 27.40692 24.14141 34.60017 19.09021 27.36154 22.79430
## [2689] 20.21608 30.14329 37.69118 38.17320 27.18612 26.51522 27.30887 33.55055
## [2697] 17.19152 31.23850 27.97230 26.28031 19.96940 28.97087 21.75472 29.92346
## [2705] 25.52549 30.23160 32.30502 27.48131 24.88801 26.94129 26.66303 22.53362
## [2713] 26.09691 29.03297 28.89583 31.64771 36.45938 31.66836 37.37893 26.76037
## [2721] 36.75334 32.96704 24.04146 32.01086 23.81154 34.73615 27.30127 28.81945
## [2729] 26.60232 25.73911 38.51070 34.95902 33.37607 30.36810 33.68167 33.30856
## [2737] 38.01760 34.25020 28.96905 28.92554 27.65964 28.18131 28.81658 36.11440
## [2745] 18.35820 26.49077 29.33560 23.58371 38.09550 28.83026 24.41541 25.54193
## [2753] 34.36198 39.34505 29.37866 30.53514 25.25732 36.58322 33.61328 18.35373
## [2761] 26.77384 28.82941 24.45920 28.63388 24.33279 31.79654 31.67822 34.05492
## [2769] 32.08228 37.97057 28.06931 19.23348 30.12830 33.24924 27.99382 37.00438
## [2777] 35.47384 32.68747 30.34887 27.24250 29.11528 32.34589 34.83898 28.51943
## [2785] 26.35873 42.37803 32.59279 25.48198 34.65490 30.30843 34.13395 30.25898
## [2793] 29.70785 30.45306 32.06390 26.94957 26.72318 29.07610 30.85651 28.41312
## [2801] 31.58492 24.49132 22.84521 39.46005 31.98939 28.01486 28.60021 33.92559
## [2809] 28.94840 30.96057 28.67637 27.49304 33.01095 30.70747 36.50906 24.37302
## [2817] 29.32346 28.95506 24.62569 34.98929 29.46300 23.07221 27.03930 24.47333
## [2825] 35.19544 42.71452 26.63142 29.53885 31.39868 43.54480 18.35498 27.43022
## [2833] 23.98603 28.86188 28.62050 26.35096 39.17078 31.28533 41.96793 34.11808
## [2841] 23.67344 26.23254 31.36519 27.11051 31.77145 33.66286 32.10561 29.32694
## [2849] 26.78231 23.55340 31.70447 34.61168 29.60165 33.76809 41.13765 39.66911
## [2857] 27.52547 32.73356 26.48895 33.44907 29.70818 31.38794 25.70493 36.02689
## [2865] 29.57910 27.77040 29.61689 30.38199 38.18432 24.44638 42.29496 26.13344
## [2873] 30.87322 19.70929 26.72770 33.65887 32.52617 32.05286 27.66617 20.78214
## [2881] 24.63588 28.85086 33.10819 34.18723 28.48556 29.24224 29.18574 30.28923
## [2889] 37.68572 26.36644 28.97619 30.39363 23.30867 25.39485 31.00131 32.13535
## [2897] 35.70045 27.67147 37.26950 25.67722 22.01858 20.26993 35.52025 31.52436
## [2905] 29.34789 28.53193 37.93128 36.00573 24.98130 23.04492 35.42648 32.80306
## [2913] 27.44510 31.98226 19.88384 26.67429 32.17504 29.63544 23.59056 35.07633
## [2921] 35.81530 25.29980 29.07267 33.65307 34.31862 27.35626 25.60730 31.72538
## [2929] 20.41991 25.24961 33.86794 21.48101 23.99611 28.79607 28.48963 21.22978
## [2937] 32.54689 24.89272 29.20971 29.01714 33.48314 29.67009 29.32826 38.27370
## [2945] 31.85947 33.11770 32.37449 32.85817 36.67868 29.71448 31.21422 39.84817
## [2953] 27.34981 36.45504 26.96461 38.55070 26.66876 25.92814 35.18201 34.82466
## [2961] 32.75855 31.36594 31.20930 40.27380 22.83733 25.06832 23.60430 34.80378
## [2969] 28.77179 29.34996 38.91653 27.10487 40.11397 22.95280 36.58918 31.61561
## [2977] 28.05700 29.13582 36.69487 38.51903 21.60766 47.10547 42.88971 27.37339
## [2985] 29.67809 26.68226 29.53499 33.69930 30.51681 30.96003 37.39404 18.98066
## [2993] 27.54278 30.72209 26.08450 35.30483 27.77247 27.85410 35.94506 34.17147
## [3001] 29.24846 28.36121 22.75917 26.51358 42.99245 29.81292 34.56746 29.07737
## [3009] 33.04912 29.73637 36.81961 27.48183 21.45470 34.49275 28.81133 37.31704
## [3017] 30.62189 37.26870 31.75113 28.25487 33.62799 27.70381 38.42380 30.73292
## [3025] 19.85071 27.63915 21.83814 19.10822 30.29604 33.23930 26.19287 23.35579
## [3033] 26.98985 22.24737 33.51501 32.87252 22.02354 26.87966 35.23608 29.15970
## [3041] 30.04758 32.08620 33.13417 36.03122 33.86283 23.11216 28.18787 31.51149
## [3049] 29.45460 19.10417 26.20943 35.07276 30.79024 22.63720 31.07963 29.20646
## [3057] 33.35927 40.53279 22.42050 27.47468 29.30619 19.31897 29.84390 27.03415
## [3065] 41.17801 15.41012 37.44111 35.04012 33.67546 30.73406 26.44600 35.52816
## [3073] 25.57126 33.47381 32.01320 35.38119 27.01727 27.09506 31.51038 31.52843
## [3081] 36.86999 32.42700 30.72420 34.21310 27.28196 35.46486 24.88729 31.69074
## [3089] 21.46577 31.23225 22.16018 28.84258 21.21272 26.80190 26.11917 32.77387
## [3097] 27.08939 26.15702 36.10758 38.34585 35.46740 22.54379 36.38327 23.85731
## [3105] 29.64024 33.67229 28.93056 29.24804 30.62691 32.13929 32.05675 21.36819
## [3113] 29.12176 31.43419 32.95370 28.41320 26.48674 23.16206 26.35596 29.39238
## [3121] 26.82397 32.97351 31.83751 21.95631 31.58666 32.70852 28.69337 29.86752
## [3129] 27.83881 28.53307 24.96480 32.12604 23.87592 27.04768 25.43181 25.64541
## [3137] 28.15722 27.57374 26.50019 28.73283 22.07551 30.55519 33.15923 23.58451
## [3145] 22.93450 41.15999 31.19754 30.26596 29.00746 32.46324 30.18621 27.27044
## [3153] 27.83762 28.27758 28.40165 26.24151 35.37051 30.46911 26.13467 32.95624
## [3161] 31.75114 29.31210 32.00441 25.46811 29.00580 25.00423 24.08095 28.34301
## [3169] 30.84012 25.43497 29.12471 20.84777 27.76631 35.85334 24.24292 24.03534
## [3177] 28.90069 32.67335 36.18055 43.26870 34.00447 33.35727 40.13962 28.49538
## [3185] 28.93325 31.26635 22.89956 20.82282 39.03395 27.12502 27.71060 25.03522
## [3193] 30.72036 32.95570 28.85694 30.07352 34.75696 29.94616 27.19328 29.69695
## [3201] 25.78837 30.50944 25.51037 36.96963 17.56738 32.00647 27.55986 39.93574
## [3209] 28.82768 32.40919 31.93447 31.23836 32.59060 39.98707 34.63754 30.98212
## [3217] 38.95133 32.91599 33.25167 36.22515 30.80553 33.62745 28.62760 30.62418
## [3225] 30.19821 26.80133 40.17327 27.20551 28.22110 36.62209 29.89689 35.84063
## [3233] 26.96321 29.93579 28.74532 25.15443 28.48344 26.72366 34.28724 28.54508
## [3241] 29.58609 25.86078 31.07600 21.94032 15.25064 39.40053 33.78631 33.17364
## [3249] 18.81746 33.38565 32.59907 29.61172 34.12519 35.60285 29.38918 39.72669
## [3257] 34.94181 36.12193 28.42441 29.34439 25.38707 32.03685 31.32006 30.45642
## [3265] 26.59656 28.84015 39.92556 25.35420 27.96955 22.98284 23.79635 28.56617
## [3273] 28.04356 26.91549 26.13078 29.01687 35.67010 28.21099 23.58398 24.65474
## [3281] 19.97826 21.44742 26.26290 25.11792 24.25487 39.94622 38.75566 42.82205
## [3289] 33.88248 29.19376 24.78370 24.49617 27.51563 36.40260 33.33235 34.44750
## [3297] 29.06439 22.23182 31.63201 28.92694 28.48021 40.92087 34.34846 28.85797
## [3305] 20.48277 28.56679 34.95194 31.86410 31.36054 35.22547 29.15495 28.27099
## [3313] 28.73017 33.67256 28.65326 33.80151 23.85908 23.64467 30.63692 33.80192
## [3321] 27.96174 27.11289 15.80312 31.87160 25.48573 32.01287 37.13606 27.52040
## [3329] 33.48363 29.23727 31.84302 24.22100 32.08912 36.52481 38.98356 24.06310
## [3337] 32.66843 27.45988 32.61360 29.10768 28.75983 33.41050 33.73101 31.39539
## [3345] 32.32025 31.89230 31.39187 30.45615 34.57805 33.54950 33.96966 35.53484
## [3353] 32.74669 29.23501 24.55265 27.55984 25.65023 28.50746 27.37353 29.01657
## [3361] 24.88050 26.88849 31.77794 31.06803 27.97965 35.06411 21.79435 32.41379
## [3369] 37.84915 27.96076 31.93792 27.20856 29.88992 34.07802 25.42993 27.22590
## [3377] 32.66112 32.07855 34.03430 36.26374 33.84926 24.61184 30.76891 28.00456
## [3385] 29.97071 34.58681 31.38078 30.77594 29.39943 31.98509 24.10687 27.89226
## [3393] 38.08288 33.08061 25.19103 23.85722 25.20335 32.90078 32.16579 27.15709
## [3401] 28.15658 34.89114 28.46463 29.70795 31.76267 29.08836 26.32487 27.93529
## [3409] 24.59500 32.34656 36.66020 31.22131 34.06365 26.74432 29.29846 29.31944
## [3417] 22.84680 30.44446 32.39619 33.41703 36.57827 22.63675 33.08826 33.58537
## [3425] 28.94987 33.01230 22.92734 31.07197 14.35456 31.56029 38.00782 37.70994
## [3433] 16.70165 32.67513 28.25140 29.87496 18.91933 31.92520 27.36640 31.86945
## [3441] 29.04391 24.87281 31.66598 32.97535 30.27160 32.83551 27.67995 36.42400
## [3449] 28.21014 27.10174 35.20796 35.57441 33.40328 31.10253 37.97443 24.94680
## [3457] 35.68885 38.57197 30.27305 32.92861 33.04851 35.96791 25.70595 34.47853
## [3465] 21.45526 40.38452 27.14330 28.41905 31.29443 23.74844 28.68553 30.30744
## [3473] 28.30016 40.13147 21.06620 29.47306 35.89424 25.81918 29.30524 39.71642
## [3481] 20.66327 25.98201 24.00796 33.14761 25.66936 32.33903 26.77097 29.23737
## [3489] 34.28107 30.68502 20.29647 27.32056 33.56798 39.30074 24.42587 28.85689
## [3497] 29.59205 26.33717 23.08684 39.19398 37.39167 22.96607 20.58014 28.61317
## [3505] 32.15214 29.35607 35.64632 28.76736 24.17226 37.59941 28.82987 28.58013
## [3513] 28.68421 30.28002 18.40669 33.41649 33.60616 33.14623 27.94437 30.49654
## [3521] 22.82544 31.79890 25.91472 36.58446 25.37088 19.70457 30.86330 21.84722
## [3529] 25.36077 34.02016 39.36166 28.68661 34.85826 23.11318 38.65251 29.97456
## [3537] 26.10060 31.98772 25.95376 30.25162 30.50886 35.84562 27.16704 28.12330
## [3545] 30.61997 34.48687 39.47798 37.91093 34.80128 20.48462 34.73662 33.76710
## [3553] 26.51101 27.17535 23.15425 29.93727 30.45315 21.23225 22.09331 30.87243
## [3561] 24.86558 28.50392 35.03858 27.87044 30.63532 33.07886 24.37671 36.21339
## [3569] 34.58508 36.36483 27.86899 22.67840 32.55581 33.09266 42.70184 38.59746
## [3577] 27.67559 24.96611 33.10494 39.96621 24.08433 26.09749 38.73847 39.18593
## [3585] 30.97278 21.89885 27.28715 35.83709 40.76867 29.92062 26.84277 31.52644
## [3593] 30.72439 25.45332 32.95942 36.95222 30.06560 33.12875 31.26043 32.30783
## [3601] 28.93188 35.98938 31.15902 27.48579 33.15229 34.78649 29.62759 16.60918
## [3609] 38.18082 26.24685 28.25428 38.09315 20.50980 24.46728 26.25275 23.43559
## [3617] 35.51644 36.32248 32.50438 27.80297 27.88160 27.15963 27.37647 32.41413
## [3625] 34.54632 27.71711 31.59495 18.07104 30.37918 25.60779 35.49267 35.92912
## [3633] 19.01752 34.61159 27.17136 29.18029 34.49250 33.44584 25.90488 31.60033
## [3641] 27.66462 36.25928 22.14264 34.09877 36.95548 16.95237 33.23873 28.18510
## [3649] 30.55111 28.64963 33.46049 34.64140 32.96565 29.46854 27.87935 29.29843
## [3657] 28.86354 31.02531 25.87702 32.92290 25.00851 22.57859 31.28889 32.07645
## [3665] 35.12710 33.63038 31.09894 33.45800 25.09751 24.29695 23.92256 30.22364
## [3673] 33.30735 34.53196 37.41851 31.64600 29.35904 26.69362 31.27034 29.67822
## [3681] 28.37435 26.61488 24.97068 25.08527 37.34415 31.25309 27.84964 22.10404
## [3689] 30.96432 27.51350 29.57054 28.96426 33.88028 29.65682 29.10999 41.86419
## [3697] 35.43602 30.65009 26.34401 35.89565 25.33675 29.75968 34.26293 27.94344
## [3705] 28.16395 32.20155 30.69736 28.75374 28.95313 31.25450 32.33364 36.47131
## [3713] 27.90384 36.58330 22.67392 26.77457 23.23549 31.54721 32.10431 23.16987
## [3721] 30.23932 25.43067 32.46921 22.22543 34.32359 29.77796 24.82029 29.58539
## [3729] 28.67166 28.17769 22.51325 27.07395 29.13336 22.58374 31.51181 36.86558
## [3737] 33.91044 26.00734 26.71567 27.67154 33.02947 29.80240 25.27472 22.44008
## [3745] 32.79649 24.78018 32.48506 30.36535 33.60886 35.47086 22.88353 35.11152
## [3753] 33.43908 28.46273 29.90125 32.44199 33.30250 21.42978 37.29428 22.96052
## [3761] 19.59418 34.77120 22.44204 28.87928 23.26736 21.02708 27.78943 33.23556
## [3769] 31.57950 26.78763 29.92121 29.50652 29.88238 27.76981 31.80475 24.58649
## [3777] 31.88759 28.30296 28.32201 33.52902 27.86214 25.07325 23.98481 33.34516
## [3785] 18.33356 27.91542 30.90728 23.12520 30.03481 33.35120 20.87786 25.56393
## [3793] 38.81131 26.72688 25.16953 25.71141 27.82840 30.92960 26.48166 31.00860
## [3801] 33.50976 31.68091 33.74913 25.99559 29.38629 33.32144 30.27479 31.06348
## [3809] 30.25430 30.91458 29.87664 24.50305 30.87000 27.72317 37.17889 27.35205
## [3817] 30.76076 20.13369 26.70561 25.85774 36.15852 29.24457 30.72478 31.50148
## [3825] 27.34444 31.50358 37.53312 33.08496 33.57200 25.82739 30.89524 31.46673
## [3833] 26.72449 30.58710 39.86764 25.12733 32.76474 24.63089 31.75998 24.79088
## [3841] 32.95176 23.65780 30.10239 36.70658 28.88763 29.46801 37.02095 40.18148
## [3849] 42.41553 28.03187 24.72432 33.25577 32.17798 36.42604 30.75107 30.80410
## [3857] 37.56879 30.80995 33.41118 32.42259 29.77764 27.32594 28.31226 20.25737
## [3865] 36.39228 22.02445 27.04650 28.14834 36.02764 30.28925 34.72113 28.52884
## [3873] 38.35684 32.43499 32.73647 34.38765 22.58884 29.94738 31.07212 26.16635
## [3881] 30.06085 26.39330 31.09874 21.07586 31.42205 26.81863 34.69670 20.13445
## [3889] 30.21257 28.89545 34.70262 22.09994 27.25634 33.55931 33.06437 31.78167
## [3897] 31.44285 21.65729 34.25531 31.07888 20.92646 29.13274 34.76884 33.51894
## [3905] 26.84358 34.53796 28.01518 31.90979 34.64266 31.95288 26.73649 34.09991
## [3913] 37.38715 25.35402 29.08903 35.01829 25.74004 21.40312 27.52650 35.33245
## [3921] 23.19076 28.75848 34.80965 30.23464 32.83460 38.11990 34.50386 32.95595
## [3929] 32.45493 24.20792 34.19598 32.71053 32.01810 30.28600 23.64476 30.76797
## [3937] 36.27478 26.94144 20.99575 39.19014 27.17861 35.70178 33.12027 38.28868
## [3945] 29.78955 28.49778 38.66129 40.78265 31.59259 30.84924 33.71175 26.63732
## [3953] 32.48913 25.05194 28.51260 33.97442 26.18523 34.25430 32.51090 37.16871
## [3961] 40.82831 27.12312 31.95319 37.79332 30.99523 26.73093 25.01215 37.00222
## [3969] 42.99746 24.76350 30.55269 22.15965 30.34836 28.46410 29.93973 44.47427
## [3977] 23.00660 32.16057 39.16329 26.94489 25.90329 30.24155 36.50276 28.28438
## [3985] 24.87104 30.35274 19.91090 22.62272 35.43231 32.29408 19.13002 33.08808
## [3993] 18.47602 27.76516 31.49745 22.85763 36.33749 36.07253 26.62572 35.60511
## [4001] 30.98275 33.25057 33.35502 23.57921 19.86945 41.02663 31.15695 31.87821
## [4009] 24.03516 35.66275 39.19738 37.63935 19.88186 24.79746 30.48896 33.48420
## [4017] 27.28056 25.70725 31.14893 25.28678 40.21752 20.87252 32.54396 20.01836
## [4025] 27.52839 37.42169 35.60884 23.00070 22.61951 30.29053 25.23512 32.02885
## [4033] 25.08031 21.94938 27.84916 23.87895 35.43321 28.32597 29.81080 36.90296
## [4041] 39.28911 29.73525 31.66668 36.54549 29.12769 24.78187 34.97100 22.37683
## [4049] 28.77373 27.98922 27.38628 16.23196 27.06550 36.33156 27.65565 26.90478
## [4057] 26.66930 25.62630 30.73011 32.96390 37.24353 22.16954 31.97677 29.23383
## [4065] 31.42643 24.84141 30.22756 24.23193 33.29852 25.26905 30.31774 19.36384
## [4073] 31.63483 35.53861 33.83081 35.26836 23.22029 29.15349 29.65150 33.60098
## [4081] 29.16109 28.98361 38.39064 35.45468 21.21778 28.07695 25.03921 44.85793
## [4089] 27.52833 35.74020 30.48136 30.54415 32.47618 29.28678 34.16468 32.79912
## [4097] 21.57452 27.22194 27.38323 27.46948 35.32642 37.43514 25.39100 32.70718
## [4105] 24.15116 27.21460 31.49233 29.05539 26.59775 23.71276 28.44117 30.26249
## [4113] 32.81117 25.62092 32.93378 24.18080 27.26944 32.25189 26.53742 26.10202
## [4121] 29.76334 30.17717 34.67241 28.83307 21.49606 26.72081 26.84765 25.33836
## [4129] 31.60952 42.50883 33.97084 29.22580 32.51834 37.21384 28.45366 33.32240
## [4137] 32.80950 29.38683 30.28273 33.25946 29.86881 28.30246 27.03005 31.45481
## [4145] 29.72489 28.14131 30.88294 26.13467 25.98790 36.86783 25.59322 31.57894
## [4153] 25.15807 28.84695 31.95181 24.95232 32.97519 31.09458 28.41697 31.22733
## [4161] 30.37522 25.80175 23.01468 30.53066 24.97639 29.82390 21.75962 25.35484
## [4169] 31.36055 35.22661 30.84639 25.02783 27.92331 35.46818 32.59342 33.93520
## [4177] 34.98350 31.88734 35.54690 25.13393 31.49823 28.30259 31.00869 36.62699
## [4185] 32.51897 26.85182 28.24923 25.24331 29.55093 27.50202 33.95786 27.53636
## [4193] 33.55157 33.60365 27.82335 37.13246 30.13462 26.73591 30.37200 25.04519
## [4201] 33.25497 25.52416 36.46496 19.62897 24.43770 28.30827 26.49651 36.73473
## [4209] 29.69787 31.77402 33.53685 30.76439 34.80505 32.19858 33.49107 22.56996
## [4217] 24.36839 18.86796 28.73364 37.15878 25.10799 31.57532 32.20478 31.19263
## [4225] 28.57889 26.90928 26.81616 30.08727 36.49819 26.03246 29.38733 30.49634
## [4233] 33.95707 28.84336 33.18859 22.51634 33.59200 30.48186 24.52177 18.34821
## [4241] 28.17332 33.34430 31.59528 28.17917 30.25033 30.77995 26.23795 30.27278
## [4249] 30.56134 26.38584 30.99098 31.55280 32.63162 33.55523 32.05155 31.50699
## [4257] 29.52285 32.24380 23.65377 33.27135 27.32545 41.68764 27.01831 15.56185
## [4265] 36.86043 27.00674 32.96475 31.12871 35.48156 25.48367 24.05469 35.32485
## [4273] 25.20716 22.33153 33.88985 29.67371 41.39102 31.71805 28.23454 26.86408
## [4281] 38.42304 23.92536 33.08481 32.80840 27.13597 37.67859 26.26172 29.90264
## [4289] 31.93814 41.61563 33.07576 38.65774 26.35719 21.27280 34.44678 21.85766
## [4297] 23.28895 33.05385 29.72112 34.23510 37.16587 34.56372 31.91165 32.76009
## [4305] 30.72413 38.54196 30.26195 34.03572 25.29942 30.19621 20.01186 30.69365
## [4313] 22.55862 29.33563 28.79942 34.86010 26.78884 26.67911 20.13493 33.10191
## [4321] 35.44336 28.86961 37.40119 27.95122 24.98839 31.14573 33.43142 22.53240
## [4329] 21.82183 30.23210 32.40218 18.27757 21.46906 31.53885 34.44367 28.09532
## [4337] 36.00211 26.93107 29.16652 36.74871 29.59221 30.12937 25.50065 30.33505
## [4345] 26.77867 21.00280 25.14754 28.80675 30.81816 35.34018 30.19267 29.36297
## [4353] 35.53067 42.07528 29.57281 35.88993 32.43091 29.61977 20.39557 25.16224
## [4361] 27.21628 24.44896 24.19375 27.93537 34.75945 25.39910 30.59088 28.98504
## [4369] 33.96550 30.19218 29.15919 27.07905 34.45949 35.69667 30.09721 46.35891
## [4377] 29.98503 44.61912 29.33060 22.14646 22.87617 25.64265 37.39204 38.51662
## [4385] 31.98804 31.54248 27.31522 26.61662 26.41048 25.64725 27.30039 26.88655
## [4393] 32.64269 33.85409 38.01590 17.75689 32.47560 28.40766 28.66805 21.79148
## [4401] 29.83561 26.11996 31.77880 24.43595 47.22996 26.08951 28.58898 23.85617
## [4409] 28.37414 40.67127 28.06554 33.05102 25.30110 37.69182 32.34176 26.41683
## [4417] 31.15219 28.06568 32.54354 25.95302 32.31608 37.91589 36.31381 31.52496
## [4425] 31.66838 32.10752 34.49190 31.92964 33.03045 33.18906 31.13897 33.60225
## [4433] 30.28920 35.05643 27.85874 30.96885 30.16232 24.62923 35.99413 24.18783
## [4441] 36.52565 24.65767 25.08958 34.30444 29.59128 20.77405 37.51710 17.55736
## [4449] 26.53737 22.39830 27.16016 30.44341 28.33230 27.10573 29.18102 31.34583
## [4457] 25.72120 19.62572 25.37077 20.47821 33.17669 39.35079 24.27269 25.57282
## [4465] 25.62233 33.94195 30.15672 32.44474 33.85735 31.23917 32.23916 24.18717
## [4473] 29.69106 26.91948 23.47585 24.15508 34.68805 23.49727 27.97836 34.91283
## [4481] 31.64630 33.26174 31.65690 29.25562 19.00141 26.95581 23.10846 28.10958
## [4489] 40.27054 30.69113 26.40427 34.44346 32.45686 29.59825 28.86184 29.27257
## [4497] 29.64290 33.09765 30.63828 26.86312 34.17186 26.50798 36.54620 25.09911
## [4505] 33.73993 36.28898 36.11092 29.43920 33.46100 19.31179 32.22118 29.45357
## [4513] 32.99912 30.54380 36.47398 29.14675 33.66870 29.47022 33.27881 23.84367
## [4521] 33.03285 28.05205 31.97408 25.62341 32.70820 44.95763 37.70260 34.90189
## [4529] 26.90493 31.62430 29.20831 20.07436 28.79916 28.41731 29.55185 27.33997
## [4537] 33.25914 39.59290 35.77829 33.30093 30.27535 30.37866 35.78761 36.40824
## [4545] 27.04027 34.74902 24.08445 24.03671 37.97892 30.18470 30.16891 34.89512
## [4553] 29.01672 25.76668 30.69179 21.45683 27.63767 29.21630 22.78719 30.92382
## [4561] 26.33633 35.57039 28.59479 24.54500 31.19611 29.73391 30.20159 31.07727
## [4569] 28.02989 28.36705 33.24002 38.13369 20.37153 29.32160 34.89841 24.10394
## [4577] 35.83407 28.10386 33.53876 37.36883 34.49288 36.07158 18.96086 23.63319
## [4585] 32.90733 25.44610 27.24063 36.92111 30.58247 30.22659 28.77207 22.01052
## [4593] 20.59713 28.91117 31.77369 23.40528 20.96110 36.37755 32.53499 32.41047
## [4601] 34.58548 32.77372 24.72249 36.25078 23.61320 27.60706 31.66798 31.40499
## [4609] 32.94668 34.38296 25.95164 23.56287 24.16133 32.87242 27.68623 32.06456
## [4617] 35.91491 26.64133 34.62349 26.77554 33.08407 30.17037 25.74780 34.73925
## [4625] 33.61302 25.65697 30.18851 42.61199 26.24069 29.16644 37.01447 24.43151
## [4633] 41.90207 26.66349 27.39284 29.80723 35.37338 46.17771 32.41657 33.09808
## [4641] 23.13236 30.70621 18.20109 28.70863 37.30713 29.00965 29.71179 30.19522
## [4649] 29.38135 30.50025 22.44383 27.59564 28.29206 32.84887 31.03688 26.20704
## [4657] 34.24507 36.13293 23.60291 30.92006 26.25487 26.95926 32.09932 34.20925
## [4665] 31.90078 27.32578 35.64856 35.15945 25.05309 31.56584 24.20168 37.33367
## [4673] 31.35030 35.33568 31.94072 29.45865 33.75244 24.48341 22.83659 26.84423
## [4681] 31.31809 27.93156 27.67441 34.60426 27.48904 34.87228 26.13532 28.71758
## [4689] 25.86843 27.86900 24.19152 32.23493 35.91157 31.41679 38.56134 21.79950
## [4697] 26.24224 32.62322 33.16690 31.63498 38.72842 38.37695 22.70348 27.91298
## [4705] 22.82983 24.84613 31.24128 31.75704 26.09774 31.50800 26.36082 31.24707
## [4713] 30.56573 28.57994 25.19954 27.67337 32.45573 27.52909 28.37246 24.65120
## [4721] 27.82943 29.87572 26.35446 28.08644 24.49653 33.74582 41.04888 27.87385
## [4729] 32.33333 37.90984 28.07778 28.05418 33.23638 25.23827 29.13432 27.23417
## [4737] 25.16081 32.10348 29.30593 40.84763 15.78491 33.22641 25.89339 28.56885
## [4745] 24.55600 32.89200 36.77709 32.44556 25.44072 38.07239 29.18137 30.89369
## [4753] 29.75381 28.92100 30.40489 24.84724 35.76606 33.23164 30.39414 34.72703
## [4761] 23.88926 35.42564 31.06001 32.51611 27.72144 26.08853 27.26898 35.18127
## [4769] 35.45388 37.77436 29.69001 26.21972 37.36233 22.24028 29.20557 33.01629
## [4777] 24.18858 22.19952 32.44593 38.10525 26.42632 26.56656 25.29198 37.42363
## [4785] 26.46032 25.81278 25.97985 27.06048 27.01141 33.03224 31.50864 32.37374
## [4793] 26.84900 33.62257 14.78433 35.63851 30.99923 27.97449 32.37764 23.88439
## [4801] 26.83643 30.54586 22.18722 29.79877 29.81835 28.60537 23.53435 35.83400
## [4809] 22.57313 22.61440 27.08680 37.74652 30.53441 31.29783 28.92006 31.35424
## [4817] 33.16595 33.53735 36.85341 26.10972 29.20943 32.06769 34.12538 28.33489
## [4825] 33.25387 27.25774 28.29262 35.06072 20.58623 31.10773 34.62970 28.27612
## [4833] 33.12428 26.46752 30.85604 30.04889 29.85704 23.62106 29.18706 25.93024
## [4841] 28.20196 35.12122 27.16704 29.83635 30.51512 29.05267 34.03045 29.78776
## [4849] 30.77449 25.54859 28.08870 26.76498 32.37139 35.75764 27.69684 18.92369
## [4857] 25.77244 25.32862 35.90377 30.71497 37.82369 32.00452 22.26221 32.47455
## [4865] 26.26073 30.00302 29.49173 29.27971 28.34315 39.60604 37.54927 25.55358
## [4873] 30.99340 35.75682 35.51263 25.52308 37.04900 26.47702 30.63321 30.84378
## [4881] 20.40004 29.33346 19.49807 20.16831 31.60258 31.70622 34.87167 31.89773
## [4889] 26.63115 25.99636 34.02277 37.25518 33.99397 31.08462 29.65501 38.14208
## [4897] 17.54157 34.96455 29.16152 24.36449 34.18331 25.09861 31.72003 30.92767
## [4905] 30.70600 20.73951 30.81210 27.53411 26.48107 24.08190 24.30651 25.77198
## [4913] 36.23495 33.47583 31.37416 38.58243 38.06041 34.51480 24.08279 37.16540
## [4921] 28.98937 28.78664 31.18770 30.31469 27.53060 33.42435 27.58979 27.17602
## [4929] 28.72853 26.20159 30.76841 29.51373 28.52050 32.31896 20.87585 31.26221
## [4937] 34.50624 34.40220 41.15885 26.80083 25.09948 31.63049 21.57369 36.05346
## [4945] 24.76443 32.19273 28.31097 18.10262 31.29672 24.48498 34.61151 17.74254
## [4953] 29.34498 24.73301 35.63583 26.36083 34.67670 27.65854 30.64911 37.31176
## [4961] 26.58915 39.09309 34.93079 36.42301 18.76800 29.15742 22.66692 33.79638
## [4969] 36.11389 26.91232 27.44113 21.89210 33.95469 37.30761 21.50034 20.93743
## [4977] 35.72071 36.74271 31.85778 31.21125 26.89371 31.69519 27.73930 40.21617
## [4985] 27.75331 14.31308 32.49981 23.71429 34.11381 22.26952 28.70610 31.95204
## [4993] 29.01365 20.26525 22.86181 25.74791 38.12235 29.36681 36.37801 30.89748

# b) Histograma de las duraciones
hist(duraciones,
     main = "Duración de atención de tickets (Normal)",
     xlab = "Minutos",
     col = 7)

# c) Proporción de atenciones que superan 35 minutos
prop_mayor35 <- mean(duraciones > 35)
prop_mayor35

## [1] 0.1562

4. Tickets escalados a segundo nivel Un 20% de los tickets requieren ser escalados a un nivel superior. Suponga que en una hora se reciben 10 tickets.

1. Simule 1000 horas de operación.
2. Cuente cuántos tickets son escalados.
3. Grafique usando la función barplot

#metodo binomial
# Probabilidad de escalar = 20%, 10 tickets por hora, 1000 horas simuladas
set.seed(123)                    
escalados <- rbinom(1000, 10, 0.2)

# a) Los 1000 resultados simulados
escalados

##    [1] 1 3 2 4 4 0 2 4 2 2 4 2 2 2 0 4 1 0 1 4 4 3 2 6 2 3 2 2 1 1 4 4 3 3 0 2 3
##   [38] 1 1 1 1 2 2 1 1 1 1 2 1 3 0 2 3 1 2 1 1 3 4 1 2 0 2 1 3 2 3 3 3 2 3 2 3 0
##   [75] 2 1 2 2 1 1 1 2 2 3 0 2 5 4 4 1 1 2 1 2 1 1 3 0 2 2 2 1 2 4 2 4 4 2 2 1 4
##  [112] 1 0 4 3 1 2 4 2 2 2 1 1 1 1 5 1 0 1 3 2 4 2 3 2 2 3 3 5 2 1 2 0 1 3 1 1 0
##  [149] 1 3 3 2 2 1 1 2 2 1 2 1 2 1 2 1 1 2 3 1 2 1 2 1 3 3 2 2 1 2 3 2 3 1 3 1 2
##  [186] 2 1 2 4 4 1 1 5 2 4 2 2 2 1 2 1 4 2 2 2 4 1 1 1 1 2 1 1 2 0 3 1 2 3 4 1 4
##  [223] 3 3 0 2 2 2 3 4 2 2 2 0 1 2 1 3 1 3 2 2 1 2 1 3 2 5 5 3 1 1 2 1 2 3 1 2 2
##  [260] 3 4 4 2 4 2 2 1 1 0 2 3 0 0 1 3 3 5 2 0 2 3 1 2 1 0 2 0 1 0 2 1 0 0 4 3 3
##  [297] 5 0 0 3 3 0 3 3 2 2 1 0 2 2 2 2 3 0 1 3 3 1 1 3 3 1 1 3 0 0 7 0 1 4 2 1 3
##  [334] 3 1 2 3 2 2 5 2 1 2 1 2 1 5 2 1 2 1 5 2 1 2 5 2 2 1 3 1 1 4 1 1 3 1 0 2 2
##  [371] 2 1 3 2 2 4 3 1 1 5 2 3 1 3 2 4 1 1 0 1 5 1 3 3 0 1 1 0 1 5 5 1 4 2 2 2 3
##  [408] 0 1 3 1 3 1 2 1 1 4 1 2 0 2 2 2 1 4 2 1 2 1 3 4 2 1 6 1 2 1 2 0 1 1 2 3 1
##  [445] 3 3 3 1 1 2 2 1 1 0 1 4 3 3 1 1 5 2 2 1 2 1 1 3 1 3 0 3 2 3 2 2 2 0 1 3 1
##  [482] 3 1 3 4 1 1 3 2 3 5 0 2 3 0 5 1 0 3 3 1 1 1 0 1 1 2 2 4 1 2 0 3 2 3 1 2 3
##  [519] 0 3 1 1 1 0 2 3 4 0 5 1 4 3 2 3 0 3 1 3 2 1 3 0 3 1 3 4 0 3 3 2 1 1 2 4 2
##  [556] 2 2 2 2 0 0 4 3 1 2 2 2 3 2 4 2 4 2 2 4 3 2 0 2 2 3 3 3 1 3 1 1 2 5 2 2 0
##  [593] 5 1 0 4 2 1 4 0 1 3 1 1 1 3 1 3 1 1 2 0 0 5 2 3 4 3 5 0 4 3 3 2 0 1 1 3 1
##  [630] 1 3 3 2 3 0 1 4 3 3 2 2 3 4 2 0 2 3 0 1 2 3 4 2 2 3 3 4 0 2 1 3 3 1 3 1 0
##  [667] 4 1 2 1 0 2 0 1 2 2 3 1 2 2 3 3 3 4 4 2 2 1 2 1 0 2 2 1 1 2 1 0 2 1 3 1 0
##  [704] 3 1 2 2 2 1 2 2 2 2 3 2 2 0 0 6 1 2 3 3 3 2 3 3 2 3 0 2 3 2 4 1 1 3 5 1 0
##  [741] 5 1 0 2 1 2 3 0 3 4 1 1 1 0 2 2 2 4 0 1 2 1 2 2 2 1 1 2 3 2 4 3 2 3 1 1 1
##  [778] 2 2 3 1 3 0 2 3 2 1 0 1 4 4 2 1 2 3 2 0 1 1 1 2 1 1 0 1 5 2 2 3 2 0 3 1 4
##  [815] 3 1 1 1 2 2 3 1 2 5 3 0 2 0 1 3 0 3 2 3 2 2 3 2 1 0 4 3 2 1 2 1 4 0 1 1 1
##  [852] 3 5 3 2 2 4 1 0 4 2 0 2 2 2 1 1 1 2 2 1 1 3 2 3 2 0 3 4 2 0 4 2 1 3 4 2 1
##  [889] 1 1 2 3 2 2 3 3 0 2 0 3 4 2 3 2 2 2 3 4 3 0 0 0 3 2 1 4 2 2 2 1 3 0 1 3 3
##  [926] 3 1 2 1 3 4 1 3 2 4 1 2 3 3 0 5 2 2 2 0 1 2 1 2 1 2 1 4 0 1 4 2 0 2 2 2 2
##  [963] 2 1 4 2 2 1 3 2 3 0 3 1 1 2 4 0 1 2 2 3 4 2 4 3 1 1 1 2 0 1 2 2 2 3 2 2 3
## [1000] 1

# b) Conteo de cuántos tickets fueron escalados por hora
table(escalados)

## escalados
##   0   1   2   3   4   5   6   7 
## 109 271 304 196  86  30   3   1

# c) Gráfico de barras de frecuencias
barplot(table(escalados),
        main = "Tickets escalados en 1000 horas (Binomial)",
        xlab = "Tickets escalados por hora",
        ylab = "Frecuencia",
        col = 18)