harrington1: One-sided Harrington type desirability function

Description Usage Arguments Details Value Author(s) References See Also Examples

View source: R/harrington1.R

Description

Returns a one-sided desirability function of the Harrington type. Density, distribution function, quantile function and random number generation for the distribution of the one-sided Harrington desirability function are computed given a normally distributed variable Y with expected value equal to mean and standard deviation equal to sd.

Usage

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harrington1(y1, d1, y2, d2)
## S3 method for class 'harrington1'
ddesire(x, f, mean, sd)
## S3 method for class 'harrington1'
pdesire(q, f, mean, sd)
## S3 method for class 'harrington1'
qdesire(p, f, mean, sd)
## S3 method for class 'harrington1'
edesire(f, mean, sd)
## S3 method for class 'harrington1'
vdesire(f, mean, sd)
dharrington1(x, y1, d1, y2, d2, mean, sd)
pharrington1(q, y1, d1, y2, d2, mean, sd)
qharrington1(p, y1, d1, y2, d2, mean, sd)
rharrington1(n, y1, d1, y2, d2, mean, sd)
eharrington1(y1, d1, y2, d2, mean, sd)
vharrington1(y1, d1, y2, d2, mean, sd)

Arguments

x,q

vector of quantiles.

p

vector of probabilies.

n

number of observations.

f

one-sided Harrington type desirability function.

y1,d1,y2,d2

Two values y1 and y2 of variable Y with respective desirability values d1 and d2 determine the shape of the desirability function.

mean

vector of expected values of normal distributions.

sd

vector of standard deviations of normal distributions.

Details

harrington1(y1, d1, y2, d2) is the one-sided desirability function of Harrington type (Harrington (1965)). It aims at the specification of desired values of a variable Y which has to be minimized or maximized. Y is transformed onto a unitless scale to the interval [0,1].

Harrington's one-sided desirability function d given a normally distributed variable Y with E(Y)= mean and sd(Y)=sd has the Double Lognormal Distribution (Holland and Ahsanullah (1989)).

Value

harrington1(y1, d1, y2, d2) returns a function object of the one-sided desirability function of the Harrington type (see example below). Values b_0 and b_1 of the desirability function formula are determined.

ddesire /dharrington1 give the density, pdesire / pharrington1 give the distribution function, qdesire / qharrington1 give the quantile function, and rdesire / rharrington1 generate random deviates. edesire / eharrington1 and vdesire / vharrington1 compute the expected value and the variance of the desirability function for a normally distributed random variable Y with E(Y)=mean and sd(Y)=sd.

Author(s)

Heike Trautmann [email protected], Detlef Steuer [email protected] and Olaf Mersmann [email protected]

References

J. Harrington (1965): The desirability function. Industrial Quality Control, 21: 494-498.

B. Holland, M. Ahsanullah (1989): Further Results on the Distribution of Meinhold and Singpurwalla. The American Statistician 43 (4): 216-219.

H. Trautmann, C. Weihs (2006): On the Distribution of the Desirability Index using Harrington's Desirability Function. Metrika 63(2): 207-213.

See Also

harrington2 for two sided Harrington type desirabilities

Examples

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##Assigning the function object to h: 
h <- harrington1(-2, .1, 2, .9) 

## Plot of desirability function: 
plot(h)

## Desirability function of a vector: 
h(seq(-2,2,0.1))

## d/p/q/r/e/v examples: 
ddesire(.8, h, 0, 1)
 dharrington1(.8, -2, .1, 2, .9, 0, 1) 

ddesire(.8, h, c(0,0.5), c(1,1.5))

pdesire(.8, h, 0, 1)
pharrington1(.8, -2, .1, 2, .9, 0, 1)

qdesire(.8, h, 0, 1)
qharrington1(.8, -2, .1, 2, .9, 0, 1)

rdesire(1e6, h, 0, 1)
rharrington1(1e6, -2, .1, 2, .9, 0, 1)

edesire(h,3,0.5)
eharrington1(-2, .1, 2, .9,3,0.5)

vdesire(h,3,0.5)
vharrington1(-2, .1, 2, .9,3,0.5) 

## b_0 and b_1 values: 
environment(h)$b0 
environment(h)$b1

Example output

Loading required package: loglognorm
 [1] 0.1000000 0.1186348 0.1389686 0.1608875 0.1842502 0.2088928 0.2346353
 [8] 0.2612869 0.2886520 0.3165346 0.3447434 0.3730949 0.4014167 0.4295497
[15] 0.4573495 0.4846875 0.5114514 0.5375447 0.5628868 0.5874120 0.6110686
[22] 0.6338182 0.6556337 0.6764991 0.6964075 0.7153603 0.7333661 0.7504394
[29] 0.7665998 0.7818710 0.7962799 0.8098561 0.8226310 0.8346375 0.8459091
[36] 0.8564798 0.8663838 0.8756549 0.8843263 0.8924308 0.9000000
[1] 1.710719
[1] 1.710719
[1] 1.710719 1.816559
[1] 0.8477449
[1] 0.8477449
[1] 0.7730624
[1] 0.7730624
    [1] 4.993431e-01 4.241778e-01 7.226237e-01 1.138411e-01 3.585731e-02
    [6] 8.450915e-01 3.293964e-01 4.641186e-01 5.735410e-01 7.330799e-01
   [11] 3.686149e-01 5.813932e-01 6.765555e-01 7.606594e-01 4.961430e-01
   [16] 7.444917e-01 7.422323e-01 6.068620e-01 5.573248e-01 7.734135e-01
   [21] 7.470564e-01 9.381135e-01 8.745812e-01 6.225548e-01 3.486562e-01
   [26] 5.288246e-01 7.039266e-01 9.060881e-01 1.082176e-01 5.807183e-01
   [31] 5.957399e-01 2.226883e-01 7.802030e-01 8.177142e-01 2.306455e-01
   [36] 3.995080e-01 8.650706e-01 6.532836e-01 1.510101e-01 3.008773e-01
   [41] 2.999163e-01 4.234979e-01 4.967413e-01 4.901754e-01 5.470008e-01
   [46] 3.640235e-01 5.626485e-01 6.557675e-01 6.281671e-01 6.316982e-01
   [51] 4.796672e-01 8.132824e-01 5.539174e-01 8.209017e-01 4.288321e-01
   [56] 5.521274e-01 6.357223e-01 4.463349e-01 8.394382e-01 5.118352e-01
   [61] 7.219606e-01 7.314566e-01 8.552906e-01 6.453568e-01 8.062231e-01
   [66] 5.055644e-01 6.975133e-01 6.685365e-01 5.854001e-01 7.081012e-01
   [71] 7.259425e-01 7.411530e-01 5.398846e-01 4.110190e-01 7.428718e-01
   [76] 5.194503e-01 6.858151e-01 3.440267e-01 3.885472e-01 6.698535e-01
   [81] 2.006657e-01 5.738070e-01 6.319937e-01 5.678821e-01 2.057517e-01
   [86] 5.852075e-01 6.864450e-01 6.551726e-01 3.804450e-01 3.620155e-01
   [91] 6.713927e-01 7.686343e-01 7.732361e-01 6.404545e-01 8.300518e-01
   [96] 4.608525e-01 6.899286e-01 4.918889e-01 9.372952e-01 2.737311e-01
  [101] 2.857286e-01 6.708949e-01 8.803190e-01 8.734273e-01 3.929316e-01
  [106] 6.984036e-01 4.683427e-01 5.753898e-01 4.534832e-01 6.515682e-01
  [111] 6.425772e-01 6.137522e-01 8.080373e-01 5.908096e-01 4.701080e-01
  [116] 5.514182e-01 3.116468e-01 7.650484e-01 5.309979e-01 8.875636e-01
  [121] 8.446336e-01 2.073347e-01 7.512990e-01 5.578109e-01 1.751357e-01
  [126] 5.435636e-01 7.015389e-01 7.580847e-01 4.412045e-01 3.584164e-01
  [131] 8.632451e-01 3.459554e-01 4.207969e-01 7.253827e-01 6.684572e-01
  [136] 3.115436e-01 4.395092e-01 3.591829e-01 7.894626e-01 6.666082e-01
  [141] 3.840071e-01 7.248113e-01 4.604660e-01 7.452434e-01 8.017000e-01
  [146] 8.169949e-01 6.927179e-01 3.014272e-01 5.487927e-01 8.241754e-01
  [151] 5.311775e-01 6.623012e-01 4.763684e-01 5.334471e-01 3.790240e-01
  [156] 7.413802e-01 5.691466e-01 7.452858e-01 5.425905e-01 6.197653e-01
  [161] 9.073802e-01 7.562244e-01 7.614376e-01 7.927789e-01 6.036316e-01
  [166] 5.134975e-01 5.292208e-01 8.132051e-01 6.732689e-01 4.953199e-01
  [171] 7.393127e-01 6.974087e-01 4.322515e-01 8.402538e-01 3.140745e-01
  [176] 4.795800e-01 1.484966e-01 1.819472e-01 7.152020e-01 2.499358e-01
  [181] 6.178638e-01 3.829998e-01 6.759179e-01 4.949313e-01 5.490794e-01
  [186] 2.656802e-01 6.347018e-01 6.301882e-01 6.572767e-01 9.052759e-01
  [191] 7.945326e-01 7.276261e-01 7.442724e-01 3.468681e-01 5.579151e-01
  [196] 8.546964e-01 4.126931e-01 8.201028e-01 7.384587e-01 6.638393e-01
  [201] 5.287468e-01 1.861657e-01 4.706207e-01 4.034829e-01 7.402744e-01
  [206] 6.099418e-01 6.268197e-01 5.677098e-01 7.660073e-01 5.073683e-01
  [211] 7.839420e-01 4.657714e-01 7.928532e-01 5.158678e-01 2.673608e-01
  [216] 6.409150e-01 7.269743e-01 7.086323e-01 8.404151e-01 4.913666e-01
  [221] 6.832611e-01 2.658333e-01 7.372884e-01 4.937243e-01 4.816458e-01
  [226] 2.521680e-01 7.366648e-01 4.368655e-01 4.018281e-01 8.170670e-01
  [231] 6.463927e-01 8.142850e-01 6.845527e-01 5.830429e-01 5.012709e-01
  [236] 3.450098e-01 2.069268e-01 7.002084e-01 3.753938e-01 3.341709e-01
  [241] 5.793817e-01 8.667350e-01 2.133979e-02 6.195942e-01 7.541404e-01
  [246] 6.708085e-01 4.384350e-01 6.148110e-01 7.471133e-01 7.829522e-01
  [251] 1.833715e-01 6.867839e-01 3.853554e-01 7.321373e-01 7.540354e-01
  [256] 7.144767e-01 1.283908e-01 2.879592e-01 4.955632e-01 6.602493e-01
  [261] 7.318455e-01 5.231636e-01 4.822115e-01 6.915238e-01 7.352970e-01
  [266] 7.818160e-01 5.621357e-01 4.030892e-01 8.274864e-01 8.421637e-01
  [271] 6.589114e-01 1.689075e-02 3.700240e-01 8.460556e-01 7.630910e-01
  [276] 5.542480e-01 6.413985e-01 8.294909e-01 3.351681e-01 5.225480e-01
  [281] 5.914678e-01 7.917596e-01 2.890825e-01 7.019103e-01 3.250190e-01
  [286] 7.955555e-01 7.166523e-01 6.724278e-01 4.011257e-01 8.834024e-01
  [291] 4.823218e-01 6.456748e-01 7.171559e-01 6.183437e-01 5.749680e-01
  [296] 6.597265e-01 4.214823e-01 7.911549e-01 6.287686e-01 5.573338e-01
  [301] 1.866584e-01 5.759495e-01 8.892452e-01 3.715914e-01 6.716411e-01
  [306] 5.423217e-01 4.836038e-01 6.961138e-01 5.579736e-01 5.994653e-01
  [311] 2.945265e-01 5.960892e-01 3.894429e-01 1.904152e-01 2.095640e-01
  [316] 6.146747e-01 7.734180e-01 5.339589e-01 1.949345e-01 7.178667e-01
  [321] 1.940592e-01 5.192630e-01 7.985309e-01 6.159450e-01 4.368720e-01
  [326] 6.494878e-01 7.149456e-01 6.953115e-01 6.009249e-01 7.114874e-01
  [331] 7.683459e-01 6.073110e-01 6.407347e-01 7.340806e-01 4.607998e-02
  [336] 8.737748e-01 5.009638e-01 4.515834e-01 5.375137e-01 6.394688e-01
  [341] 5.767532e-01 7.154621e-01 2.801450e-01 6.855662e-02 4.608368e-01
  [346] 7.431254e-01 3.475342e-01 4.479470e-01 8.320421e-02 3.869076e-01
  [351] 2.839041e-01 4.372603e-01 6.366567e-01 4.184857e-01 5.783609e-01
  [356] 8.602027e-01 5.206047e-01 5.901870e-01 6.690995e-01 5.476926e-01
  [361] 7.896553e-01 7.379540e-01 6.949668e-01 6.569330e-01 6.646540e-01
  [366] 3.061816e-01 5.612083e-01 7.943271e-01 5.607711e-01 7.469721e-01
  [371] 3.103310e-01 3.213661e-01 6.524783e-01 5.611904e-01 6.399599e-01
  [376] 4.434532e-01 5.584239e-01 8.103039e-01 7.819601e-01 6.652859e-01
  [381] 4.726904e-01 7.183515e-01 7.288796e-01 7.748533e-01 8.476192e-01
  [386] 2.273997e-01 5.352853e-01 4.778783e-01 6.026073e-01 2.285290e-01
  [391] 5.235045e-01 8.062889e-01 7.285305e-01 3.820770e-01 8.767505e-01
  [396] 8.111671e-01 6.165415e-01 6.738729e-01 4.259530e-01 8.261518e-01
  [401] 9.140874e-01 7.015535e-01 5.578637e-01 7.757339e-01 5.637895e-01
  [406] 2.420563e-01 8.530072e-01 4.004776e-01 9.433438e-02 5.644239e-02
  [411] 8.860563e-01 7.983322e-01 3.727993e-01 2.458573e-01 6.957931e-01
  [416] 2.470116e-01 7.957537e-01 6.101285e-01 5.503355e-01 7.986149e-01
  [421] 6.089276e-01 5.240321e-01 7.195264e-01 5.945385e-01 4.735128e-01
  [426] 5.357981e-01 7.357624e-01 7.444487e-01 8.304182e-01 8.304278e-01
  [431] 4.354651e-01 2.492520e-01 7.976781e-01 4.521417e-01 6.907154e-01
  [436] 1.085334e-01 4.432967e-01 4.310096e-01 5.434636e-01 1.488265e-01
  [441] 8.313627e-01 5.600613e-01 3.588794e-01 9.086461e-01 5.420927e-01
  [446] 5.673256e-01 5.818647e-01 8.315929e-01 8.752750e-01 6.613670e-01
  [451] 8.357008e-01 8.119666e-01 3.767573e-01 5.407088e-01 4.407071e-01
  [456] 6.174791e-01 3.448336e-01 7.811603e-01 7.134677e-01 4.011087e-01
  [461] 5.823374e-01 9.223851e-01 3.644505e-01 6.439544e-01 7.836007e-01
  [466] 7.584173e-01 3.119237e-01 4.196477e-01 4.022327e-01 6.905117e-01
  [471] 8.542648e-01 7.233462e-01 4.897218e-01 8.191082e-01 3.630757e-01
  [476] 8.866710e-01 6.558972e-01 7.515792e-01 1.910115e-01 5.360788e-01
  [481] 8.273191e-01 6.709332e-01 4.843289e-02 3.790050e-01 7.078952e-01
  [486] 6.056654e-01 6.149260e-01 5.343157e-01 8.260017e-01 1.096531e-01
  [491] 6.123566e-01 1.710452e-01 6.596675e-01 2.429983e-01 5.177593e-01
  [496] 2.508021e-02 7.256992e-01 5.700567e-01 4.651273e-01 5.051082e-01
  [501] 5.526495e-01 3.305563e-01 7.233005e-01 2.476281e-01 8.011695e-01
  [506] 3.791010e-01 5.699357e-01 6.964179e-01 3.685782e-01 4.014734e-01
  [511] 8.112944e-01 7.196337e-01 8.348719e-01 5.170450e-01 7.356418e-01
  [516] 4.746739e-01 4.782609e-01 7.655832e-01 3.228790e-01 4.776442e-01
  [521] 6.028402e-01 7.044434e-01 7.417577e-01 7.280567e-01 5.644830e-01
  [526] 8.524700e-01 7.842292e-01 4.654238e-01 6.426972e-01 5.619558e-01
  [531] 8.542045e-01 7.129588e-01 8.388927e-01 4.096770e-01 3.022136e-01
  [536] 4.620362e-01 6.225135e-01 4.250412e-01 8.783830e-01 1.350126e-01
  [541] 9.072740e-01 5.335320e-01 7.018343e-01 8.586205e-01 6.366186e-01
  [546] 8.858939e-01 2.116031e-01 2.535790e-01 9.720334e-01 6.982351e-01
  [551] 2.284083e-01 7.817973e-01 5.502342e-01 6.981669e-01 7.958938e-01
  [556] 4.538878e-01 3.824235e-01 4.586577e-01 5.898908e-02 5.408934e-01
  [561] 6.893132e-01 4.637473e-01 6.977747e-01 7.859675e-01 6.437018e-01
  [566] 6.823042e-01 7.241785e-01 6.660841e-01 6.451956e-01 6.605670e-01
  [571] 3.536297e-01 7.139746e-01 7.148864e-01 5.405547e-01 7.108735e-01
  [576] 9.215831e-01 3.960031e-02 3.933148e-01 1.585019e-01 2.970770e-01
  [581] 8.275617e-01 6.319192e-02 6.604782e-01 7.110310e-01 4.441206e-01
  [586] 1.664390e-01 5.481782e-01 3.001472e-01 7.586458e-01 7.921627e-01
  [591] 2.461625e-01 5.868366e-01 3.563163e-01 4.067783e-01 7.879400e-01
  [596] 7.360126e-01 5.724322e-01 6.571892e-01 2.949267e-01 7.952853e-01
  [601] 8.778337e-01 1.878642e-01 4.804842e-01 2.515348e-01 5.698143e-01
  [606] 2.379064e-01 4.249483e-01 6.507004e-01 6.185204e-01 6.913714e-01
  [611] 7.522462e-01 9.208143e-01 7.249340e-01 8.461374e-01 8.053084e-01
  [616] 1.276948e-01 2.057537e-01 7.228341e-01 4.989302e-01 1.629671e-01
  [621] 8.380218e-01 1.341565e-01 3.995472e-01 6.232833e-01 6.622022e-01
  [626] 7.675528e-01 8.119744e-01 6.787244e-01 5.685252e-01 5.484076e-01
  [631] 2.575925e-01 6.205848e-01 7.864484e-01 5.482108e-01 4.865519e-01
  [636] 5.361241e-01 6.759701e-01 3.203354e-01 2.758763e-01 4.731798e-01
  [641] 1.297213e-01 3.934280e-01 5.042284e-01 4.024665e-01 8.542178e-01
  [646] 2.907535e-01 7.308411e-01 5.523672e-01 7.624959e-01 3.477937e-01
  [651] 8.746844e-01 7.545040e-01 6.872639e-01 3.450402e-01 7.507538e-01
  [656] 3.214430e-01 5.222235e-01 2.980319e-01 6.770471e-01 6.188001e-01
  [661] 1.852473e-01 5.936548e-01 5.766374e-01 5.203703e-01 3.145310e-01
  [666] 6.818291e-01 1.865936e-01 7.764265e-01 4.359794e-01 7.550156e-01
  [671] 4.500802e-01 4.059169e-01 7.336864e-01 6.559809e-01 8.963666e-01
  [676] 5.915004e-01 7.745443e-01 9.133229e-02 7.200022e-01 3.930282e-01
  [681] 6.568835e-01 7.565049e-01 6.476819e-01 7.524145e-01 3.632746e-01
  [686] 7.412536e-01 6.993661e-01 4.588478e-01 8.267820e-01 2.236076e-01
  [691] 7.763385e-01 3.872772e-01 1.833096e-01 6.955699e-01 3.644915e-01
  [696] 8.517700e-01 7.097556e-01 2.002305e-01 6.070732e-01 6.037416e-01
  [701] 2.593072e-01 6.686999e-01 7.013252e-01 4.139368e-01 6.376567e-01
  [706] 3.929944e-01 9.466292e-01 8.590276e-01 3.351120e-01 7.969557e-01
  [711] 4.506568e-01 4.784338e-01 5.974341e-01 7.193530e-01 7.679384e-01
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 [1621] 5.495530e-01 5.988024e-01 6.072946e-01 2.115109e-01 3.137717e-01
 [1626] 5.789345e-01 7.626773e-01 8.208971e-01 7.276194e-01 6.220040e-01
 [1631] 2.186162e-01 3.566411e-01 1.880538e-01 4.959775e-01 7.976117e-01
 [1636] 8.181273e-01 3.728547e-01 7.806731e-01 6.412010e-01 6.634359e-01
 [1641] 6.820094e-01 3.269652e-01 2.599727e-01 6.150159e-01 6.579366e-01
 [1646] 7.578395e-01 6.556123e-01 7.733955e-01 8.702726e-01 7.159643e-01
 [1651] 3.844192e-01 7.679262e-01 8.518911e-01 1.943025e-01 8.739865e-01
 [1656] 5.830361e-01 5.910834e-01 4.097524e-01 9.108216e-02 8.731622e-01
 [1661] 9.573447e-01 7.647665e-01 2.204547e-01 7.442886e-01 2.670875e-01
 [1666] 1.427618e-01 8.458016e-01 7.434476e-01 1.871417e-01 9.232076e-01
 [1671] 9.430825e-02 7.567180e-01 7.532695e-01 7.170057e-01 5.871041e-02
 [1676] 6.461129e-01 6.454977e-01 7.090741e-01 4.920983e-01 7.701818e-01
 [1681] 7.542488e-01 5.761034e-01 4.626875e-01 4.640816e-01 6.100214e-01
 [1686] 7.201947e-01 2.256702e-01 5.489887e-01 5.824654e-01 6.847021e-01
 [1691] 8.206424e-01 4.992272e-02 6.808439e-01 7.843103e-01 6.510720e-01
 [1696] 5.193359e-01 8.302291e-01 5.644540e-01 5.933473e-01 7.078884e-01
 [1701] 7.318107e-01 5.856788e-01 8.343143e-01 9.768714e-02 6.392524e-01
 [1706] 6.427194e-01 5.672225e-01 4.976962e-01 4.774839e-01 3.898276e-01
 [1711] 5.428629e-01 7.717509e-01 6.664434e-01 8.459977e-01 7.624321e-01
 [1716] 7.300718e-01 5.725227e-01 2.629837e-01 6.214744e-01 2.122122e-01
 [1721] 5.564597e-01 2.722279e-01 5.181301e-01 7.074670e-01 7.170339e-01
 [1726] 8.765939e-01 6.889064e-01 5.256756e-01 7.620114e-01 8.564394e-01
 [1731] 7.070604e-02 3.374940e-01 4.666707e-01 8.376773e-01 5.877117e-01
 [1736] 7.206731e-01 2.111076e-01 2.461166e-01 6.877873e-01 5.954379e-01
 [1741] 5.002669e-01 2.687111e-01 7.741150e-01 7.983594e-01 2.718504e-01
 [1746] 7.697685e-01 4.787367e-01 2.410850e-01 2.146893e-01 6.051082e-01
 [1751] 4.662542e-01 5.687722e-01 5.511968e-01 1.164332e-01 5.973335e-01
 [1756] 5.442563e-01 5.454193e-01 5.667726e-01 6.463373e-01 7.901452e-01
 [1761] 3.596905e-01 8.182950e-01 8.343529e-01 6.470469e-01 8.844767e-01
 [1766] 6.594320e-01 9.215823e-01 4.878256e-01 7.222029e-01 5.159275e-01
 [1771] 5.101735e-01 3.453280e-01 9.353454e-01 8.424755e-01 7.389192e-01
 [1776] 8.730068e-01 4.856116e-01 5.356386e-02 6.565965e-01 5.652147e-01
 [1781] 5.461288e-01 6.968725e-01 3.548856e-01 4.669611e-01 4.952834e-01
 [1786] 4.990679e-01 4.102595e-01 5.115355e-01 8.503215e-01 4.084375e-01
 [1791] 8.750640e-01 5.639350e-01 2.574975e-01 8.165192e-01 6.512751e-01
 [1796] 8.374441e-01 6.351411e-01 7.878653e-01 9.017178e-01 5.834661e-01
 [1801] 8.917461e-01 9.653214e-02 7.740199e-01 7.780865e-01 7.246126e-01
 [1806] 3.805866e-01 5.316803e-01 4.656752e-01 3.027072e-01 8.205599e-01
 [1811] 3.864430e-01 3.537527e-01 5.788400e-01 8.449641e-01 7.051799e-01
 [1816] 7.712438e-01 7.537941e-01 4.602100e-01 5.198003e-01 4.687508e-01
 [1821] 3.207934e-01 4.917788e-01 6.484726e-01 8.503077e-01 7.589191e-01
 [1826] 9.013459e-01 6.413977e-01 4.851990e-01 1.915667e-01 3.046470e-01
 [1831] 6.699606e-01 8.337524e-01 7.510618e-01 8.731835e-01 7.973268e-02
 [1836] 7.797710e-01 1.989424e-01 5.814268e-01 3.738010e-01 6.234475e-01
 [1841] 8.205925e-01 7.308935e-01 4.246268e-01 7.134049e-01 5.497745e-01
 [1846] 6.453874e-01 4.036124e-01 3.405216e-01 8.784811e-01 6.399391e-01
 [1851] 5.933416e-01 5.193726e-01 6.474919e-01 4.317095e-01 7.799711e-01
 [1856] 4.623428e-01 4.099347e-01 7.689990e-01 7.878152e-01 8.230863e-01
 [1861] 8.400784e-01 2.697660e-01 9.476729e-01 6.911603e-01 7.437412e-01
 [1866] 6.771179e-01 8.655220e-01 6.891267e-01 6.142264e-01 6.522994e-01
 [1871] 4.192694e-01 6.605444e-01 5.780868e-01 4.725652e-01 7.078539e-01
 [1876] 6.947706e-01 6.837716e-01 6.530542e-01 3.170673e-01 5.700847e-01
 [1881] 5.897317e-01 7.283735e-01 2.405787e-01 7.380247e-01 4.632655e-01
 [1886] 6.621416e-01 6.834321e-01 2.523959e-01 6.736025e-01 7.057957e-02
 [1891] 6.634278e-01 2.876618e-01 4.013748e-01 4.139855e-01 6.425400e-01
 [1896] 7.917564e-01 1.840102e-01 5.696097e-02 5.405629e-01 7.199576e-01
 [1901] 6.758145e-01 8.326253e-01 6.112544e-01 6.034795e-01 5.412709e-01
 [1906] 3.469878e-01 2.215415e-01 8.860094e-01 5.070960e-01 5.921347e-01
 [1911] 2.775797e-01 8.745526e-01 4.321247e-01 4.616124e-01 8.616101e-01
 [1916] 5.997508e-01 7.476980e-01 7.386764e-01 3.849622e-01 7.722673e-01
 [1921] 8.795394e-01 1.500205e-01 8.102779e-01 4.348234e-01 6.567729e-01
 [1926] 4.828265e-01 3.761576e-01 8.364748e-01 1.291990e-01 5.348448e-01
 [1931] 3.590431e-01 3.054491e-01 7.485006e-01 6.486939e-01 7.599561e-01
 [1936] 7.379458e-01 6.429413e-01 7.954946e-01 7.160023e-01 4.645291e-01
 [1941] 7.214736e-01 1.806986e-01 4.971126e-01 3.898171e-01 4.847829e-01
 [1946] 8.291938e-01 7.371663e-01 5.663888e-01 7.469116e-01 7.029858e-01
 [1951] 7.378874e-01 9.081629e-01 5.634024e-01 5.120345e-02 5.463181e-01
 [1956] 5.482843e-01 6.267866e-01 1.655317e-01 6.934920e-01 8.007164e-01
 [1961] 3.048690e-01 6.787961e-01 5.419819e-01 4.697505e-01 5.220867e-01
 [1966] 2.142274e-01 6.153708e-01 4.733232e-01 3.141091e-01 7.423187e-01
 [1971] 5.438204e-01 1.038467e-01 4.905563e-01 8.776181e-01 4.299801e-01
 [1976] 6.788319e-01 6.552074e-01 6.689626e-01 3.143248e-01 2.071879e-01
 [1981] 6.948951e-01 4.442690e-01 9.157940e-01 5.304002e-01 4.673896e-01
 [1986] 6.137574e-01 9.487081e-02 2.970651e-01 7.684858e-01 3.243663e-01
 [1991] 8.168205e-01 6.837397e-01 8.314762e-01 5.418848e-01 6.403837e-01
 [1996] 4.960634e-01 6.768049e-01 6.117676e-01 6.238933e-01 3.761527e-01
 [2001] 5.574609e-01 3.893110e-01 7.602889e-01 7.083350e-01 3.474213e-02
 [2006] 6.166952e-01 6.914320e-01 7.600783e-01 5.305576e-01 5.243175e-01
 [2011] 5.017569e-01 2.489545e-01 3.322099e-01 8.374773e-01 6.423687e-01
 [2016] 8.466955e-01 6.445539e-01 4.400048e-01 7.197880e-01 5.282762e-01
 [2021] 6.644342e-01 4.100287e-01 1.176412e-01 2.691353e-01 6.829399e-01
 [2026] 8.153071e-01 6.919534e-01 4.733127e-01 2.852226e-01 6.465423e-01
 [2031] 5.774805e-01 6.341804e-01 6.482198e-01 7.991026e-01 4.843019e-01
 [2036] 8.654402e-01 6.119779e-01 7.921018e-01 6.871582e-01 9.099483e-01
 [2041] 7.730974e-01 8.850512e-01 6.760711e-01 8.360557e-01 9.055269e-01
 [2046] 8.119342e-01 4.845091e-01 5.236118e-01 1.815580e-01 8.427591e-01
 [2051] 4.454174e-01 3.636493e-01 8.717902e-01 8.162349e-01 5.178608e-01
 [2056] 8.695733e-01 6.803034e-01 4.711499e-01 4.405506e-01 2.824187e-01
 [2061] 7.741939e-01 5.006547e-01 8.108269e-01 8.840752e-01 7.413208e-01
 [2066] 9.159191e-01 7.717459e-01 5.880888e-01 4.598317e-01 5.790337e-01
 [2071] 5.267028e-01 6.075457e-01 8.855883e-01 2.321241e-01 3.705356e-01
 [2076] 8.403387e-01 5.371865e-01 3.036515e-01 7.398459e-01 6.876003e-01
 [2081] 8.400661e-01 2.355410e-01 9.201097e-01 5.355699e-01 4.845421e-01
 [2086] 5.264711e-01 4.760839e-01 1.789255e-01 2.582892e-01 7.006877e-01
 [2091] 4.865013e-01 7.192888e-01 8.006822e-01 6.073350e-01 4.605642e-01
 [2096] 7.335775e-01 7.220830e-01 5.038023e-01 7.715576e-01 5.353027e-01
 [2101] 8.846363e-01 5.408102e-01 7.468970e-01 6.956279e-02 8.262906e-01
 [2106] 5.025808e-01 7.156287e-01 1.418162e-01 5.587590e-01 7.236028e-01
 [2111] 3.836798e-01 3.053537e-01 1.745688e-01 4.262111e-01 1.621471e-01
 [2116] 4.602477e-01 3.383769e-01 8.867695e-01 6.740056e-02 5.284425e-01
 [2121] 5.852810e-01 4.619417e-01 7.950499e-01 8.459902e-01 4.226772e-01
 [2126] 6.826101e-01 3.927496e-01 8.178608e-01 5.658788e-01 8.763068e-01
 [2131] 7.386898e-01 5.715559e-01 7.080443e-01 7.306697e-01 1.774397e-01
 [2136] 4.130447e-01 8.233642e-01 3.435871e-01 2.333026e-01 9.301897e-01
 [2141] 8.643142e-01 8.595728e-02 6.419844e-01 1.127333e-01 4.828841e-01
 [2146] 5.646392e-01 6.826416e-01 2.292749e-01 6.806416e-01 7.640716e-01
 [2151] 6.214543e-01 5.635959e-01 7.505705e-01 4.351272e-01 8.306828e-01
 [2156] 7.639496e-01 5.742238e-01 6.551268e-01 8.068838e-01 7.851898e-01
 [2161] 4.561248e-01 6.036277e-01 2.807378e-01 6.203525e-01 4.210831e-01
 [2166] 1.813033e-01 6.529930e-01 6.526360e-01 4.017288e-01 8.268503e-01
 [2171] 8.348987e-01 6.561554e-01 7.074517e-01 2.639571e-01 7.291184e-01
 [2176] 6.907385e-01 6.525072e-01 6.880661e-01 3.730412e-01 7.964560e-01
 [2181] 3.669236e-01 1.227068e-02 6.067775e-01 5.299228e-01 5.954874e-01
 [2186] 3.411075e-01 7.239977e-01 7.294419e-01 3.576652e-01 4.579737e-01
 [2191] 6.623280e-01 2.279933e-01 6.996350e-01 6.056330e-01 7.855779e-01
 [2196] 2.893539e-01 7.980399e-01 6.803416e-01 2.661376e-01 5.928412e-01
 [2201] 8.055759e-01 8.816814e-01 5.899216e-01 6.047002e-01 8.620687e-01
 [2206] 4.534069e-01 1.306574e-01 7.658803e-01 2.855845e-01 5.442538e-01
 [2211] 3.409754e-01 6.145315e-01 5.710966e-01 3.473566e-01 4.123760e-01
 [2216] 6.251095e-01 6.142486e-02 4.959179e-01 6.693323e-01 3.786054e-01
 [2221] 4.068661e-01 5.069615e-02 9.454370e-01 4.118855e-01 5.075062e-01
 [2226] 2.629745e-01 6.504699e-01 6.945494e-01 2.668245e-02 7.931651e-01
 [2231] 3.855630e-01 7.236909e-01 5.358690e-01 5.287897e-01 7.092634e-01
 [2236] 6.219178e-01 6.555188e-01 6.687289e-01 6.652709e-01 4.043969e-01
 [2241] 7.297741e-01 7.693038e-01 4.410838e-01 4.918180e-01 7.793809e-01
 [2246] 6.017221e-01 4.287338e-01 5.172787e-01 7.311292e-01 6.478044e-01
 [2251] 6.686245e-01 2.605774e-01 7.787121e-01 3.880688e-01 6.398614e-01
 [2256] 5.949226e-01 3.362863e-01 6.767855e-01 8.747877e-01 6.055638e-01
 [2261] 7.588084e-01 7.688788e-01 7.117973e-01 4.241832e-01 3.007141e-01
 [2266] 4.111363e-01 3.238367e-01 7.646010e-01 7.869877e-01 6.463528e-01
 [2271] 6.024789e-01 2.394757e-01 5.660677e-01 1.164199e-01 5.881783e-01
 [2276] 7.889093e-01 6.076343e-01 5.209107e-01 5.681343e-01 5.964974e-01
 [2281] 5.920596e-01 6.074676e-01 3.594392e-01 6.501207e-01 6.441219e-01
 [2286] 5.921329e-01 3.551352e-01 1.365619e-01 6.249332e-01 7.899074e-01
 [2291] 5.759570e-01 6.165913e-01 5.801719e-01 1.412576e-01 5.890261e-01
 [2296] 5.654987e-01 4.359236e-01 4.768141e-01 6.354733e-01 8.430383e-01
 [2301] 4.803256e-01 9.407576e-01 7.378333e-01 3.167715e-01 5.927664e-01
 [2306] 8.723393e-01 5.226061e-01 6.699032e-01 8.069555e-01 2.854675e-02
 [2311] 4.713103e-01 6.209332e-01 4.444096e-01 4.279618e-01 7.416386e-01
 [2316] 3.723845e-01 3.310117e-01 4.021407e-01 4.959130e-01 5.659061e-01
 [2321] 4.273235e-01 7.829589e-01 9.480422e-01 4.470710e-01 1.438999e-01
 [2326] 2.490300e-01 6.620550e-01 5.721129e-01 6.096159e-01 8.695166e-01
 [2331] 5.440427e-01 3.742328e-01 8.050474e-01 8.504101e-01 6.967703e-02
 [2336] 5.833584e-01 3.341199e-01 4.593282e-01 8.694712e-02 3.633554e-01
 [2341] 3.635106e-01 8.011505e-01 7.196631e-01 5.135972e-01 7.096125e-01
 [2346] 5.146795e-01 4.282787e-01 7.526307e-01 1.374819e-01 8.172977e-01
 [2351] 2.238873e-01 7.550729e-01 6.322165e-01 5.113292e-01 7.492945e-01
 [2356] 3.736825e-01 6.626581e-01 6.038788e-01 6.982111e-01 4.490288e-01
 [2361] 5.786960e-01 8.246279e-01 2.104978e-01 4.829431e-01 9.205478e-01
 [2366] 4.832324e-01 8.587259e-01 1.348868e-01 2.727926e-01 7.561396e-01
 [2371] 4.354400e-01 5.636177e-01 7.205203e-01 8.540792e-01 3.330385e-01
 [2376] 5.798164e-01 5.114160e-01 2.977323e-01 7.223944e-01 4.864762e-01
 [2381] 9.293980e-02 1.598657e-01 9.070248e-01 7.584213e-01 6.408175e-01
 [2386] 7.186913e-01 8.069623e-02 9.002982e-01 4.456715e-01 4.226769e-01
 [2391] 6.674984e-01 5.550183e-01 8.011673e-01 4.838983e-01 7.612392e-01
 [2396] 9.030911e-01 3.720081e-01 4.199407e-01 4.775435e-01 7.652512e-01
 [2401] 1.403948e-01 8.299818e-01 3.791926e-01 4.828130e-01 3.423600e-01
 [2406] 8.211722e-01 5.454903e-01 4.119214e-01 7.851257e-01 8.798493e-01
 [2411] 5.180027e-01 8.629904e-01 2.446481e-01 4.509780e-01 4.764731e-01
 [2416] 8.143864e-01 2.059828e-01 4.500695e-01 6.355047e-01 7.218639e-01
 [2421] 8.905159e-01 3.720257e-01 5.355741e-01 7.057398e-01 6.382802e-01
 [2426] 7.929071e-01 5.059716e-01 8.789460e-01 6.906339e-01 6.286739e-01
 [2431] 5.087934e-01 8.719121e-01 7.006427e-02 6.299665e-01 7.623455e-01
 [2436] 6.144756e-01 6.947400e-01 7.756760e-01 9.384863e-01 6.549752e-01
 [2441] 7.202389e-01 8.046495e-01 9.057644e-01 4.867787e-01 6.988013e-01
 [2446] 3.455825e-01 2.913165e-01 8.142655e-01 8.477427e-01 7.655226e-01
 [2451] 8.443399e-01 7.052411e-01 5.980991e-01 4.823272e-01 5.516378e-01
 [2456] 7.721646e-01 5.429494e-01 3.379143e-01 6.143917e-01 6.176454e-01
 [2461] 7.918502e-01 3.850002e-01 4.259426e-01 6.484244e-01 6.908490e-01
 [2466] 7.374584e-01 2.891192e-01 6.044251e-01 2.951488e-01 5.086160e-01
 [2471] 2.806751e-01 8.446790e-01 4.873531e-01 4.916504e-01 4.675820e-01
 [2476] 6.400976e-01 5.302052e-01 5.605004e-01 3.980707e-01 8.448297e-01
 [2481] 7.535264e-01 7.086185e-01 1.842647e-01 3.952126e-01 7.248405e-01
 [2486] 7.835378e-01 6.077160e-01 6.179185e-01 8.097598e-01 9.167282e-01
 [2491] 4.800375e-01 4.643519e-01 2.839388e-01 6.305396e-01 6.783485e-01
 [2496] 6.265516e-01 5.131400e-01 7.206011e-01 3.679168e-01 6.247015e-01
 [2501] 7.827042e-01 2.366325e-01 5.160093e-01 5.967595e-01 5.905227e-01
 [2506] 9.334015e-01 8.369408e-01 5.600973e-01 6.810232e-01 4.542542e-01
 [2511] 5.152057e-01 7.520789e-01 4.588694e-01 7.520873e-01 3.445805e-01
 [2516] 5.053910e-01 3.644018e-01 7.926203e-01 3.140834e-01 7.022374e-01
 [2521] 3.288051e-01 4.455690e-01 7.566280e-01 2.505185e-01 3.166722e-01
 [2526] 4.405951e-01 3.357916e-01 6.695317e-01 7.832698e-01 8.976379e-01
 [2531] 2.642979e-01 8.721281e-01 8.646493e-01 5.170179e-01 2.569123e-01
 [2536] 8.383788e-01 4.426179e-01 5.487294e-01 3.872530e-01 1.683869e-01
 [2541] 5.115780e-01 7.143494e-01 4.244023e-01 5.280606e-01 4.778311e-01
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[16301] 4.976363e-01 7.477202e-01 7.651554e-01 2.602412e-01 8.261236e-01
[16306] 6.016295e-01 6.424525e-01 6.742959e-01 4.774236e-01 7.909598e-01
[16311] 8.012997e-01 2.333173e-01 6.606877e-01 2.635969e-01 8.051285e-01
[16316] 7.399577e-01 6.457314e-01 3.986237e-01 7.744850e-01 6.984348e-01
[16321] 5.888411e-01 6.788840e-01 4.068205e-01 3.218700e-01 7.816453e-01
[16326] 5.102661e-01 7.238168e-01 7.656434e-01 8.612826e-01 6.827380e-01
[16331] 4.080094e-01 3.909620e-01 3.834210e-01 8.133812e-01 5.108294e-01
[16336] 2.139966e-01 6.069001e-01 3.697187e-01 1.834808e-01 9.074772e-01
[16341] 8.486582e-01 9.414134e-01 6.039156e-01 7.043159e-01 4.983719e-01
[16346] 6.735951e-01 4.937771e-01 5.697955e-01 4.491693e-01 9.528413e-01
[16351] 6.643561e-01 5.338901e-01 7.433719e-01 1.489908e-01 4.891181e-01
[16356] 7.642629e-01 2.722195e-01 5.690636e-01 7.773840e-01 4.694292e-01
[16361] 3.644551e-01 7.569988e-01 6.985955e-01 7.693583e-01 8.255993e-01
[16366] 7.353799e-01 5.513260e-01 4.430333e-01 3.335990e-01 4.849366e-01
[16371] 5.910703e-01 8.475781e-01 6.176660e-01 5.003001e-01 3.309402e-01
[16376] 3.301408e-02 8.444723e-01 1.705939e-01 5.173111e-01 8.965841e-01
[16381] 5.273090e-01 4.246674e-01 6.371001e-01 6.413384e-01 1.648497e-01
[16386] 5.339659e-01 6.352622e-01 1.192651e-01 5.904526e-01 8.994013e-01
[16391] 7.584833e-01 7.268838e-01 2.141517e-01 4.891198e-01 7.990094e-01
[16396] 8.203684e-01 5.278451e-01 8.645686e-01 6.575884e-01 7.399268e-01
[16401] 9.385709e-01 3.590176e-01 7.313164e-01 4.408579e-01 1.966069e-01
[16406] 8.968504e-01 5.852025e-01 7.899010e-01 6.706887e-01 6.150660e-01
[16411] 1.060836e-02 6.993345e-01 7.023917e-01 6.761480e-01 7.548514e-01
[16416] 5.373475e-02 2.686637e-01 6.401477e-01 7.267832e-01 6.973588e-01
[16421] 2.515443e-01 8.301532e-01 4.564147e-01 6.667895e-01 5.971941e-01
[16426] 5.619525e-01 7.722793e-01 8.210389e-01 7.348449e-01 4.068479e-01
[16431] 7.680839e-01 4.296960e-01 3.034842e-01 6.220334e-01 6.652896e-01
[16436] 4.377781e-02 7.959615e-01 6.463292e-01 6.656305e-01 2.490560e-01
[16441] 6.504396e-01 6.068372e-01 7.229329e-01 3.765366e-01 3.942501e-01
[16446] 3.397978e-01 6.031053e-01 3.563959e-01 5.958700e-01 3.054694e-01
[16451] 8.297985e-01 5.786645e-01 7.432645e-01 5.806974e-01 5.482785e-01
[16456] 7.484055e-01 2.180525e-01 7.168707e-01 2.353709e-01 6.697637e-01
[16461] 7.434071e-01 5.580515e-01 5.380341e-01 2.686211e-01 1.460303e-01
[16466] 2.713351e-01 7.429441e-01 8.422403e-01 9.463684e-01 5.771258e-01
[16471] 7.782056e-01 8.276462e-01 7.228738e-01 4.487129e-01 6.776706e-01