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Simulates the decision responses and reaction times together with a discrete confidence judgment in the MTLNR (Reynolds et al., 2020), given specific parameter constellations. See dMTLNR for more information about parameters. Also computes the Gamma rank correlation between the confidence ratings and condition (task difficulty), reaction times and accuracy in the simulated output. Basically, this function is a wrapper for rMTLNR for application in confidence experiments with manipulation of specific parameters.

Usage

simulateMTLNR(paramDf, n = 10000, gamma = FALSE, agg_simus = FALSE,
  stimulus = c(1, 2), seed = NULL)

Arguments

paramDf

a list or dataframe with one row. Column names should match the names of MTLNR model specific parameter names. For different stimulus quality/mean drift rates, names should be v1, v2, v3,.... Additionally, the confidence thresholds should be given by names with thetaUpper1, thetaUpper2,..., thetaLower1,... or, for symmetric thresholds only by theta1, theta2,....

n

integer. The number of samples (per condition and stimulus direction) generated. Total number of samples is n*nConditions*length(stimulus).

gamma

logical. If TRUE, the gamma correlation between confidence ratings, rt and accuracy is computed.

agg_simus

logical. Simulation is done on a trial basis with RTs outcome. If TRUE, the simulations will be aggregated over RTs to return only the distribution of response and confidence ratings. Default: FALSE.

stimulus

numeric vector. Either 1, 2 or c(1,2) (default). Together with condition represents the experimental situation. In a binary decision task the presented stimulus belongs to one of two categories. In the default setting trials with both categories presented are simulated but one can choose to simulate only trials with the stimulus coming from one category (1 for the category that is associated with positive drift in the decision process where 1 responses are considered correct and 2 correspondingly for negative drifts and 2 correct decisions).

seed

numerical. Seeding for non-random data generation.

Value

Depending on gamma and agg_simus.

If gamma is FALSE, returns a data.frame with columns: condition, stimulus, response, correct, rt, conf (the continuous confidence measure) and rating (the discrete confidence rating), and dec and vis (only if process_results=TRUE) for the final states of accumulators in the simulation or (if agg_simus=TRUE): condition, stimulus,response, correct, rating and p (for the probability of a response and rating, given the condition and stimulus).

If gamma is TRUE, returns a list with elements: simus (the simulated data frame) and gamma, which is again a list with elements condition, rt and correct, each a tibble with two columns (see details for more information).

Details

Simulation is done by simulating normally distributed logarithms of boundary crossing times for both accumulators based on the MTLNR model. The smaller time determines decision time and response (i.e. the winning accumulator). The confidence variable is computed based on the log-ratio of the loosing boundary crossing time over the winning boundary crossing time.

The confidence values are then binned according to the given thresholds. The output of the fitting function fitRTConf with the respective model fits the argument paramDf for simulation. The Gamma coefficients are computed separately for correct/incorrect responses for the correlation of confidence ratings with condition and rt and separately for conditions for the correlation of accuracy and confidence. The resulting data frames in the output thus have two columns. One for the grouping variable and one for the Gamma coefficient.

Note

Different parameters for different conditions are only allowed for drift rate, v. All other parameters are used for all conditions.

References

Reynolds, A., Kvam, P. D., Osth, A. F., & Heathcote, A. (2020). Correlated racing evidence accumulator models. Journal of Mathematical Psychology, 96, 102331. doi: doi: 10.1016/j.jmp.2020.102331

Author

Sebastian Hellmann.

Examples

# 1. Define some parameter set in a data.frame
paramDf <- data.frame(v1=0.5, v2=1.0, t0=0.1, st0=0,
                      mu_d1=1, mu_d2=1,
                      s_v1=0.5, s_v2=0.5,
                      s_d1=0.3, s_d2=0.3,
                      rho_v=0.2, rho_d=0.1,
                      theta1=0.8, theta2=1.5)

# 2. Simulate trials for both stimulus categories and all conditions (2)
simus <- simulateMTLNR(paramDf)
head(simus)
#>   condition stimulus response correct        rt      conf rating
#> 1         1        1        1       1 1.6771830 0.1639733      1
#> 2         1        1        1       1 2.4031542 0.2352296      1
#> 3         1        1        1       1 0.8161488 0.5558157      1
#> 4         1        1        2       0 1.5707194 0.7034179      1
#> 5         1        1        1       1 2.3346020 1.0453644      2
#> 6         1        1        1       1 2.0995131 0.5686660      1
# \donttest{
  library(ggplot2)
  simus <- simus[simus$response != 0, ]
  simus$rating <- factor(simus$rating, labels = c("unsure", "medium", "sure"))
  ggplot(simus, aes(x = rt, group = interaction(correct, rating),
                    color = as.factor(correct), linetype = rating)) +
    geom_density(linewidth = 1.2) + xlim(c(0, 5)) +
    facet_grid(rows = vars(condition), labeller = "label_both")
#> Warning: Removed 172 rows containing non-finite outside the scale range
#> (`stat_density()`).

# }

# automatically aggregate simulation distribution
# to get only accuracy x confidence rating distribution for
# all conditions
agg_simus <- simulateMTLNR(paramDf, agg_simus = TRUE)
head(agg_simus)
#> # A tibble: 6 × 4
#>   rating correct condition      p
#>    <dbl>   <dbl>     <int>  <dbl>
#> 1      1       0         1 0.208 
#> 2      1       0         2 0.0833
#> 3      1       1         1 0.405 
#> 4      1       1         2 0.300 
#> 5      2       0         1 0.035 
#> 6      2       0         2 0.0086
# \donttest{
  agg_simus$rating <- factor(agg_simus$rating, labels = c("unsure", "medium", "sure"))
  library(ggplot2)
  ggplot(agg_simus, aes(x = rating, group = correct, fill = as.factor(correct), y = p)) +
    geom_bar(stat = "identity", position = "dodge") +
    facet_grid(cols = vars(condition), labeller = "label_both")

# }
# \donttest{
  # Compute Gamma correlation coefficients between
  # confidence and other behavioral measures
  # output will be a list
  simu_list <- simulateMTLNR(paramDf, n = 400, gamma = TRUE)
  simu_list
#> $simus
#>      condition stimulus response correct        rt        conf rating
#> 1            1        1        1       1 4.6945595 0.011410687      1
#> 2            1        1        1       1 0.9138453 0.995990692      2
#> 3            1        1        1       1 0.3528812 2.564533468      3
#> 4            1        1        1       1 2.2930963 0.606865384      1
#> 5            1        1        2       0 1.1206365 0.249311124      1
#> 6            1        1        1       1 0.8319576 2.187899114      3
#> 7            1        1        1       1 0.8543624 2.093999415      3
#> 8            1        1        1       1 1.4292073 0.272472861      1
#> 9            1        1        1       1 2.2942832 0.310820907      1
#> 10           1        1        1       1 0.6174350 1.112095230      2
#> 11           1        1        1       1 2.5113264 0.248117513      1
#> 12           1        1        1       1 1.6807862 1.284560549      2
#> 13           1        1        2       0 1.6790772 0.016809641      1
#> 14           1        1        1       1 2.7011290 0.990399214      2
#> 15           1        1        1       1 0.9791696 1.164343895      2
#> 16           1        1        1       1 2.7646014 0.145549350      1
#> 17           1        1        2       0 1.0440175 0.009417066      1
#> 18           1        1        1       1 0.7470052 1.243891434      2
#> 19           1        1        1       1 1.9675156 0.573877543      1
#> 20           1        1        1       1 1.9736932 1.223609837      2
#> 21           1        1        1       1 1.0886655 0.816701236      2
#> 22           1        1        2       0 4.4992049 0.083584009      1
#> 23           1        1        2       0 0.9195578 0.945989930      2
#> 24           1        1        2       0 2.5075377 0.446726625      1
#> 25           1        1        2       0 1.2683510 0.303211428      1
#> 26           1        1        1       1 1.5359506 0.988906007      2
#> 27           1        1        2       0 2.2649551 0.251753359      1
#> 28           1        1        1       1 0.8339927 1.911293500      3
#> 29           1        1        1       1 0.7857076 1.994595855      3
#> 30           1        1        1       1 2.3135890 0.039256085      1
#> 31           1        1        1       1 1.4785691 0.350078822      1
#> 32           1        1        1       1 2.3968629 0.931855932      2
#> 33           1        1        1       1 1.8215671 0.541241965      1
#> 34           1        1        1       1 2.6876929 0.179622986      1
#> 35           1        1        1       1 0.7582449 1.870256616      3
#> 36           1        1        1       1 3.7306412 0.677548720      1
#> 37           1        1        1       1 1.8113251 0.982420335      2
#> 38           1        1        2       0 0.9758124 0.413981230      1
#> 39           1        1        1       1 1.0171530 1.457281131      2
#> 40           1        1        1       1 1.0403144 1.453665314      2
#> 41           1        1        1       1 1.3237048 1.316238589      2
#> 42           1        1        1       1 0.8651030 2.316918365      3
#> 43           1        1        1       1 2.2062714 0.819177794      2
#> 44           1        1        1       1 1.9971541 0.597298755      1
#> 45           1        1        1       1 4.2758452 0.823787467      2
#> 46           1        1        2       0 2.3550874 0.720638716      1
#> 47           1        1        1       1 2.6443323 0.557253648      1
#> 48           1        1        1       1 0.8828593 0.338802476      1
#> 49           1        1        1       1 2.0730908 0.980673652      2
#> 50           1        1        1       1 0.8739116 0.630753017      1
#> 51           1        1        2       0 0.8088980 0.787819649      1
#> 52           1        1        1       1 1.0136195 1.613717059      3
#> 53           1        1        2       0 1.4418342 0.714166079      1
#> 54           1        1        1       1 1.1090850 1.332140745      2
#> 55           1        1        1       1 1.4155847 0.774436336      1
#> 56           1        1        1       1 1.5207718 0.926921095      2
#> 57           1        1        1       1 1.2969457 1.208666568      2
#> 58           1        1        1       1 2.0512273 0.690292247      1
#> 59           1        1        2       0 3.6096911 0.143018398      1
#> 60           1        1        1       1 1.7921028 0.868405967      2
#> 61           1        1        2       0 2.7165841 0.065329685      1
#> 62           1        1        1       1 0.9826653 0.021516966      1
#> 63           1        1        1       1 1.1656760 0.198311083      1
#> 64           1        1        1       1 1.4068982 1.118042522      2
#> 65           1        1        1       1 2.3069781 0.504823916      1
#> 66           1        1        1       1 1.1314154 1.569079104      3
#> 67           1        1        2       0 3.3898707 0.511066809      1
#> 68           1        1        1       1 4.4400848 0.634179022      1
#> 69           1        1        2       0 1.8005623 1.101039176      2
#> 70           1        1        1       1 1.1939519 0.787696150      1
#> 71           1        1        1       1 3.5652246 0.922745351      2
#> 72           1        1        1       1 1.5744535 0.165448849      1
#> 73           1        1        2       0 1.8572898 0.002706283      1
#> 74           1        1        1       1 1.5180484 0.471967680      1
#> 75           1        1        1       1 3.1751671 1.425600978      2
#> 76           1        1        1       1 1.7292922 0.320476555      1
#> 77           1        1        1       1 0.7433627 1.386814902      2
#> 78           1        1        1       1 3.8053046 0.508552047      1
#> 79           1        1        1       1 3.4434571 1.105403804      2
#> 80           1        1        1       1 2.6504810 1.149477707      2
#> 81           1        1        2       0 2.0290240 0.405471272      1
#> 82           1        1        1       1 0.8668157 2.091533400      3
#> 83           1        1        1       1 0.3571368 2.380915937      3
#> 84           1        1        1       1 1.1532286 0.269642109      1
#> 85           1        1        2       0 1.8327852 0.132669285      1
#> 86           1        1        1       1 1.4736957 0.799340124      1
#> 87           1        1        1       1 2.6847843 0.817219609      2
#> 88           1        1        1       1 1.0814965 0.727912013      1
#> 89           1        1        1       1 1.9994991 1.080959242      2
#> 90           1        1        2       0 3.0298001 0.543960675      1
#> 91           1        1        1       1 2.0369652 0.186235505      1
#> 92           1        1        1       1 1.1382747 1.777324929      3
#> 93           1        1        1       1 0.6633662 1.161102883      2
#> 94           1        1        1       1 0.7652592 0.776671745      1
#> 95           1        1        1       1 0.7905889 1.936956617      3
#> 96           1        1        1       1 1.7910324 0.206996267      1
#> 97           1        1        2       0 2.8826839 0.453627530      1
#> 98           1        1        2       0 2.7221276 0.275100976      1
#> 99           1        1        2       0 1.9705077 0.390101375      1
#> 100          1        1        1       1 1.4169422 0.843552024      2
#> 101          1        1        2       0 1.2796137 0.063118510      1
#> 102          1        1        1       1 2.8584007 0.756332604      1
#> 103          1        1        1       1 2.6479372 0.416711752      1
#> 104          1        1        1       1 5.8460084 0.688479298      1
#> 105          1        1        2       0 1.9460144 0.526322903      1
#> 106          1        1        1       1 1.1588703 1.422799870      2
#> 107          1        1        2       0 1.2115322 0.344952714      1
#> 108          1        1        2       0 3.3536467 0.040154592      1
#> 109          1        1        1       1 1.3908516 1.042129253      2
#> 110          1        1        1       1 1.9157772 0.949872821      2
#> 111          1        1        1       1 1.3304221 0.054423311      1
#> 112          1        1        1       1 1.0881836 0.382724063      1
#> 113          1        1        1       1 1.2345141 0.981457936      2
#> 114          1        1        1       1 1.5870684 0.453470708      1
#> 115          1        1        1       1 1.8070502 0.549674978      1
#> 116          1        1        1       1 1.6390175 1.016581663      2
#> 117          1        1        1       1 0.8200408 0.105698286      1
#> 118          1        1        1       1 1.2262082 0.445232104      1
#> 119          1        1        1       1 1.3934092 0.796469604      1
#> 120          1        1        1       1 0.8924165 1.957931840      3
#> 121          1        1        1       1 2.2796142 0.289956778      1
#> 122          1        1        1       1 1.3305474 0.897547207      2
#> 123          1        1        1       1 1.6934247 1.542825956      3
#> 124          1        1        2       0 1.2578247 0.300491293      1
#> 125          1        1        1       1 2.4481418 0.062094912      1
#> 126          1        1        2       0 1.5939125 0.582640368      1
#> 127          1        1        2       0 2.1554384 0.173067904      1
#> 128          1        1        2       0 2.3865550 0.793564900      1
#> 129          1        1        1       1 1.6062689 0.542780281      1
#> 130          1        1        2       0 0.7357151 1.377257979      2
#> 131          1        1        1       1 1.1773209 1.676268006      3
#> 132          1        1        2       0 1.5888486 0.283314214      1
#> 133          1        1        1       1 1.3269197 1.202581113      2
#> 134          1        1        2       0 2.2680679 0.672632181      1
#> 135          1        1        1       1 1.2982184 0.148183790      1
#> 136          1        1        2       0 1.4320366 0.290539427      1
#> 137          1        1        1       1 1.4532041 0.953203300      2
#> 138          1        1        1       1 1.1023891 0.602199592      1
#> 139          1        1        2       0 0.9329743 1.116273336      2
#> 140          1        1        2       0 0.8715854 0.562730521      1
#> 141          1        1        1       1 0.8687047 0.515631850      1
#> 142          1        1        2       0 2.8309832 0.227630889      1
#> 143          1        1        1       1 2.2900317 0.208279508      1
#> 144          1        1        2       0 3.2322231 0.404682080      1
#> 145          1        1        2       0 3.5336204 0.009637793      1
#> 146          1        1        1       1 1.3448783 1.326627210      2
#> 147          1        1        2       0 1.0858971 0.769855805      1
#> 148          1        1        1       1 1.4562872 1.515632021      3
#> 149          1        1        1       1 2.1063971 0.662617353      1
#> 150          1        1        1       1 1.0132449 0.751087535      1
#> 151          1        1        1       1 1.0381022 1.483379309      2
#> 152          1        1        1       1 1.4021523 1.450749010      2
#> 153          1        1        1       1 1.7995499 1.408753999      2
#> 154          1        1        2       0 2.0403090 0.752594214      1
#> 155          1        1        2       0 2.3097554 0.170656071      1
#> 156          1        1        1       1 2.5981169 0.432584291      1
#> 157          1        1        1       1 1.0175607 0.225035959      1
#> 158          1        1        2       0 1.8958818 0.169944959      1
#> 159          1        1        2       0 3.4808071 0.128471264      1
#> 160          1        1        2       0 3.7277359 0.289204111      1
#> 161          1        1        2       0 2.1660349 0.051782758      1
#> 162          1        1        1       1 1.2402035 0.206029078      1
#> 163          1        1        2       0 0.8178396 0.225545288      1
#> 164          1        1        1       1 3.0215613 0.484579158      1
#> 165          1        1        1       1 0.9534672 1.286663465      2
#> 166          1        1        1       1 1.3993063 0.341473730      1
#> 167          1        1        1       1 1.7482823 0.588691932      1
#> 168          1        1        1       1 2.2688801 0.175597404      1
#> 169          1        1        2       0 1.7340959 0.328009956      1
#> 170          1        1        1       1 1.6886451 1.386725005      2
#> 171          1        1        1       1 1.7501559 0.321211834      1
#> 172          1        1        1       1 1.4329742 1.807399065      3
#> 173          1        1        1       1 2.2469658 0.269018286      1
#> 174          1        1        2       0 2.1662770 0.104353897      1
#> 175          1        1        1       1 1.4365982 0.461958519      1
#> 176          1        1        1       1 2.2665912 0.398509083      1
#> 177          1        1        1       1 1.3107921 0.028099086      1
#> 178          1        1        2       0 1.7068842 0.009304594      1
#> 179          1        1        1       1 1.9828974 0.575372360      1
#> 180          1        1        1       1 1.2870638 0.986252563      2
#> 181          1        1        1       1 1.3445981 1.280116752      2
#> 182          1        1        1       1 1.1665173 0.533193704      1
#> 183          1        1        1       1 2.2183101 0.206139664      1
#> 184          1        1        2       0 2.3372436 0.456399242      1
#> 185          1        1        1       1 0.6573590 2.248164916      3
#> 186          1        1        1       1 1.5722774 0.588008007      1
#> 187          1        1        1       1 1.5240347 0.808354403      2
#> 188          1        1        1       1 1.0746425 1.653816078      3
#> 189          1        1        1       1 1.9435929 0.726849303      1
#> 190          1        1        1       1 1.2986016 0.582996860      1
#> 191          1        1        1       1 1.8040890 0.702150063      1
#> 192          1        1        1       1 2.5205072 1.199003312      2
#> 193          1        1        1       1 1.7276269 1.502966421      3
#> 194          1        1        1       1 0.7663462 2.331782357      3
#> 195          1        1        2       0 3.5032960 0.290057028      1
#> 196          1        1        1       1 1.8096692 0.654614581      1
#> 197          1        1        1       1 1.8446486 0.531241299      1
#> 198          1        1        1       1 0.6242622 1.865353668      3
#> 199          1        1        1       1 2.1364920 0.137502661      1
#> 200          1        1        1       1 1.7024297 0.105541914      1
#> 201          1        1        1       1 0.4733696 0.575949939      1
#> 202          1        1        1       1 2.4973616 0.074357841      1
#> 203          1        1        2       0 3.0512430 0.110626199      1
#> 204          1        1        1       1 1.4428375 0.714602409      1
#> 205          1        1        1       1 1.5935539 0.727074685      1
#> 206          1        1        2       0 1.9393835 0.480107610      1
#> 207          1        1        1       1 1.7757304 0.683255296      1
#> 208          1        1        1       1 6.5144752 0.010282099      1
#> 209          1        1        1       1 0.7588251 0.820130972      2
#> 210          1        1        1       1 1.6076604 1.038120958      2
#> 211          1        1        1       1 3.1149277 0.270749269      1
#> 212          1        1        2       0 2.2054854 0.290395558      1
#> 213          1        1        1       1 1.8720480 1.495535724      2
#> 214          1        1        1       1 1.3775602 0.956033640      2
#> 215          1        1        2       0 0.5449206 1.405352110      2
#> 216          1        1        1       1 1.3621644 0.820120189      2
#> 217          1        1        1       1 0.8972567 1.786596570      3
#> 218          1        1        1       1 1.0051758 1.245554551      2
#> 219          1        1        1       1 1.7986236 0.012397087      1
#> 220          1        1        1       1 0.6244840 2.460268095      3
#> 221          1        1        2       0 2.2053450 0.604778269      1
#> 222          1        1        1       1 1.1212106 1.134862068      2
#> 223          1        1        1       1 5.2489236 0.332598393      1
#> 224          1        1        2       0 1.7941736 0.163250773      1
#> 225          1        1        1       1 2.6525537 0.201316759      1
#> 226          1        1        1       1 2.7238043 0.702086868      1
#> 227          1        1        1       1 3.7233741 1.011428765      2
#> 228          1        1        1       1 1.2920231 0.632833004      1
#> 229          1        1        1       1 1.3948088 0.161125946      1
#> 230          1        1        1       1 2.5053203 0.685301061      1
#> 231          1        1        1       1 1.4423981 0.383139043      1
#> 232          1        1        1       1 2.9090236 1.166412879      2
#> 233          1        1        1       1 0.5777150 1.436262375      2
#> 234          1        1        1       1 1.6830439 0.680682697      1
#> 235          1        1        1       1 1.3300468 0.194027272      1
#> 236          1        1        1       1 1.0307220 0.969378082      2
#> 237          1        1        1       1 1.8299925 0.017254715      1
#> 238          1        1        2       0 1.9414810 0.053381475      1
#> 239          1        1        2       0 2.3098968 0.577824145      1
#> 240          1        1        1       1 0.5171109 1.962711383      3
#> 241          1        1        2       0 1.1972817 0.084433010      1
#> 242          1        1        1       1 1.4850660 1.404763326      2
#> 243          1        1        1       1 0.8603984 0.435226877      1
#> 244          1        1        1       1 1.4582540 1.723886605      3
#> 245          1        1        1       1 1.4517123 1.156129080      2
#> 246          1        1        1       1 1.2420961 0.482676374      1
#> 247          1        1        1       1 1.0173147 1.169773181      2
#> 248          1        1        1       1 1.6920508 0.968130881      2
#> 249          1        1        2       0 1.9947919 0.336429806      1
#> 250          1        1        1       1 0.5731647 2.105868088      3
#> 251          1        1        1       1 1.0364698 1.357541120      2
#> 252          1        1        2       0 1.0658279 0.293685452      1
#> 253          1        1        1       1 1.1011069 1.358203617      2
#> 254          1        1        1       1 1.0953855 1.014626763      2
#> 255          1        1        1       1 3.3004729 0.497907076      1
#> 256          1        1        1       1 1.8112913 0.458372704      1
#> 257          1        1        2       0 5.3266918 0.228528600      1
#> 258          1        1        1       1 2.0065047 0.548569812      1
#> 259          1        1        2       0 1.8990862 0.361706400      1
#> 260          1        1        1       1 3.4103689 0.066203534      1
#> 261          1        1        1       1 1.8933890 1.546755947      3
#> 262          1        1        1       1 0.5315921 1.595079428      3
#> 263          1        1        1       1 1.7187684 1.009969719      2
#> 264          1        1        1       1 0.5065004 2.857170744      3
#> 265          1        1        2       0 1.5586385 0.424935515      1
#> 266          1        1        2       0 1.6646160 0.241752733      1
#> 267          1        1        1       1 2.3403998 0.963752356      2
#> 268          1        1        2       0 1.7444512 0.109603002      1
#> 269          1        1        2       0 0.9753389 0.402093311      1
#> 270          1        1        1       1 1.2961714 0.332058233      1
#> 271          1        1        1       1 1.8090969 0.602425845      1
#> 272          1        1        2       0 2.7917292 0.209903298      1
#> 273          1        1        1       1 1.4177328 1.357604171      2
#> 274          1        1        1       1 1.2169447 0.654353019      1
#> 275          1        1        2       0 2.3560686 0.323179238      1
#> 276          1        1        2       0 0.9696344 0.284905883      1
#> 277          1        1        1       1 0.9247541 0.981488209      2
#> 278          1        1        1       1 1.4839916 1.228399976      2
#> 279          1        1        1       1 0.9947413 0.982872278      2
#> 280          1        1        2       0 1.4239748 1.101327958      2
#> 281          1        1        2       0 2.1653988 0.113817370      1
#> 282          1        1        1       1 1.3649266 0.330952985      1
#> 283          1        1        1       1 3.4852520 0.508905815      1
#> 284          1        1        2       0 1.1227615 0.110503971      1
#> 285          1        1        1       1 2.3256224 0.442207793      1
#> 286          1        1        1       1 4.3714377 0.335877064      1
#> 287          1        1        1       1 0.9272476 1.732089253      3
#> 288          1        1        2       0 0.7874869 0.491997480      1
#> 289          1        1        2       0 2.5055043 0.542544725      1
#> 290          1        1        1       1 2.0956066 0.357046869      1
#> 291          1        1        1       1 2.0185125 0.730858389      1
#> 292          1        1        2       0 2.6091224 0.104269721      1
#> 293          1        1        2       0 2.0557205 0.643064455      1
#> 294          1        1        1       1 0.5981988 2.115105248      3
#> 295          1        1        1       1 1.1543983 1.602522988      3
#> 296          1        1        1       1 2.2119066 1.017548250      2
#> 297          1        1        1       1 0.8863553 1.828875008      3
#> 298          1        1        2       0 1.7258933 0.270773439      1
#> 299          1        1        1       1 1.2494274 0.861693672      2
#> 300          1        1        1       1 2.0620052 0.820558955      2
#> 301          1        1        2       0 2.0913717 0.618968472      1
#> 302          1        1        1       1 3.1763235 0.334440894      1
#> 303          1        1        1       1 2.1113281 0.649067099      1
#> 304          1        1        1       1 0.9914837 1.188195157      2
#> 305          1        1        1       1 0.8518204 1.625840444      3
#> 306          1        1        1       1 1.0231971 0.899229431      2
#> 307          1        1        1       1 1.0496171 0.960394308      2
#> 308          1        1        1       1 1.2941815 0.786402666      1
#> 309          1        1        2       0 1.9737386 0.412464059      1
#> 310          1        1        1       1 1.2016681 1.236301337      2
#> 311          1        1        1       1 0.8142758 1.333202129      2
#> 312          1        1        1       1 0.6114433 1.833778758      3
#> 313          1        1        1       1 2.1262529 0.020952055      1
#> 314          1        1        2       0 3.5866318 0.023081887      1
#> 315          1        1        2       0 2.9702622 0.194278684      1
#> 316          1        1        1       1 0.9219266 2.020492134      3
#> 317          1        1        1       1 2.4299808 0.555968571      1
#> 318          1        1        1       1 2.4239336 0.511922838      1
#> 319          1        1        1       1 2.8202003 0.178219009      1
#> 320          1        1        2       0 1.5636457 0.465241748      1
#> 321          1        1        2       0 2.8819214 0.250269742      1
#> 322          1        1        2       0 1.5879176 0.087197375      1
#> 323          1        1        1       1 2.1086758 0.583435139      1
#> 324          1        1        1       1 1.9206221 0.780811547      1
#> 325          1        1        2       0 0.6643278 1.250455069      2
#> 326          1        1        1       1 0.8264521 1.650533602      3
#> 327          1        1        1       1 1.3753326 0.308966622      1
#> 328          1        1        2       0 1.4647756 0.410468848      1
#> 329          1        1        1       1 1.2543501 1.009802049      2
#> 330          1        1        2       0 3.7632201 0.268433938      1
#> 331          1        1        1       1 1.3408998 1.000985019      2
#> 332          1        1        1       1 1.4450126 1.078910856      2
#> 333          1        1        2       0 3.4534055 0.337950991      1
#> 334          1        1        1       1 2.5564000 0.417191641      1
#> 335          1        1        1       1 1.0219770 0.787821171      1
#> 336          1        1        1       1 1.0124820 0.544070669      1
#> 337          1        1        2       0 2.1427767 0.118476577      1
#> 338          1        1        1       1 2.6051740 0.481790721      1
#> 339          1        1        1       1 1.1852439 1.137871291      2
#> 340          1        1        1       1 2.5125515 1.585516336      3
#> 341          1        1        1       1 3.2944197 0.105133882      1
#> 342          1        1        1       1 2.5139835 0.483179278      1
#> 343          1        1        1       1 0.6525355 1.402719921      2
#> 344          1        1        1       1 1.1109214 0.883102879      2
#> 345          1        1        2       0 1.2573029 0.498174917      1
#> 346          1        1        2       0 1.5611628 1.688875330      3
#> 347          1        1        1       1 1.5936305 0.970118765      2
#> 348          1        1        1       1 2.4035709 0.607501679      1
#> 349          1        1        2       0 1.2715116 0.040058160      1
#> 350          1        1        1       1 2.2445096 0.448724431      1
#> 351          1        1        1       1 1.4389427 1.533817964      3
#> 352          1        1        2       0 1.3840751 0.621281041      1
#> 353          1        1        2       0 1.2360046 0.989828346      2
#> 354          1        1        2       0 2.4741469 0.512286438      1
#> 355          1        1        1       1 0.6720075 1.072292866      2
#> 356          1        1        2       0 3.6889182 0.475889611      1
#> 357          1        1        1       1 1.2464612 0.638940992      1
#> 358          1        1        1       1 0.4324450 1.422714528      2
#> 359          1        1        1       1 2.7347588 0.514717965      1
#> 360          1        1        2       0 2.1003125 0.586079958      1
#> 361          1        1        2       0 0.6114524 0.745755114      1
#> 362          1        1        2       0 1.7246085 1.183422951      2
#> 363          1        1        1       1 2.4166050 0.825865534      2
#> 364          1        1        2       0 3.6128072 0.876117754      2
#> 365          1        1        1       1 0.5182931 1.287162009      2
#> 366          1        1        1       1 1.1705358 1.281071045      2
#> 367          1        1        1       1 1.5981574 0.407632344      1
#> 368          1        1        2       0 1.9666063 0.382735741      1
#> 369          1        1        1       1 2.4959571 0.190228722      1
#> 370          1        1        1       1 1.1947298 2.077706526      3
#> 371          1        1        1       1 2.3331927 0.506424798      1
#> 372          1        1        1       1 1.3118157 0.995016677      2
#> 373          1        1        1       1 3.1010851 0.410206455      1
#> 374          1        1        1       1 2.9312504 0.346878033      1
#> 375          1        1        1       1 2.0168563 1.604824259      3
#> 376          1        1        1       1 1.4793738 0.769310917      1
#> 377          1        1        1       1 2.3424781 0.108161849      1
#> 378          1        1        1       1 1.3186504 0.248081220      1
#> 379          1        1        1       1 2.0620248 0.364008438      1
#> 380          1        1        1       1 2.2037479 0.391978066      1
#> 381          1        1        2       0 1.4435446 0.002264031      1
#> 382          1        1        1       1 1.4623751 0.670929912      1
#> 383          1        1        1       1 2.2908758 0.867253029      2
#> 384          1        1        1       1 2.1060972 0.098644898      1
#> 385          1        1        1       1 3.6555732 0.046864594      1
#> 386          1        1        1       1 0.8940750 1.830151738      3
#> 387          1        1        1       1 1.8541882 0.796612566      1
#> 388          1        1        1       1 1.8469291 0.578476981      1
#> 389          1        1        1       1 1.0000209 1.257412881      2
#> 390          1        1        1       1 4.1566908 0.756704170      1
#> 391          1        1        1       1 0.9649102 0.920504216      2
#> 392          1        1        1       1 1.5922668 0.795728925      1
#> 393          1        1        2       0 2.9947999 0.141036570      1
#> 394          1        1        1       1 2.8308523 0.467254979      1
#> 395          1        1        2       0 2.2538719 0.086587459      1
#> 396          1        1        2       0 1.5607002 0.465989119      1
#> 397          1        1        1       1 2.1520852 0.388057071      1
#> 398          1        1        1       1 1.4969807 1.883813775      3
#> 399          1        1        2       0 1.5061227 0.687365190      1
#> 400          1        1        2       0 1.4473263 0.061000378      1
#> 401          2        1        1       1 0.9768136 2.137974306      3
#> 402          2        1        1       1 0.7689021 0.807572798      2
#> 403          2        1        1       1 1.1857659 0.471135013      1
#> 404          2        1        1       1 0.8616864 1.802980033      3
#> 405          2        1        1       1 0.5247558 1.170378875      2
#> 406          2        1        1       1 0.8921978 2.430891183      3
#> 407          2        1        2       0 1.1950417 0.032165381      1
#> 408          2        1        1       1 0.8937708 1.263671161      2
#> 409          2        1        1       1 1.1303132 0.981483318      2
#> 410          2        1        1       1 0.8073860 0.999873187      2
#> 411          2        1        1       1 1.2520718 0.783939991      1
#> 412          2        1        1       1 0.7479088 2.520423267      3
#> 413          2        1        1       1 0.4621499 1.216837294      2
#> 414          2        1        1       1 0.6709559 1.244500665      2
#> 415          2        1        1       1 1.4290761 0.970194705      2
#> 416          2        1        1       1 1.3883663 0.783355561      1
#> 417          2        1        1       1 2.1072429 0.665836030      1
#> 418          2        1        1       1 0.3980308 1.852632391      3
#> 419          2        1        1       1 1.6825669 0.574679729      1
#> 420          2        1        1       1 0.9184209 1.487837980      2
#> 421          2        1        1       1 1.1680105 1.005066378      2
#> 422          2        1        1       1 1.7126387 0.489671677      1
#> 423          2        1        1       1 1.1653484 0.914368135      2
#> 424          2        1        1       1 1.1159928 1.676979323      3
#> 425          2        1        1       1 0.3352651 2.651182744      3
#> 426          2        1        1       1 0.5438954 1.787506698      3
#> 427          2        1        1       1 1.1390702 0.891632988      2
#> 428          2        1        1       1 0.8211927 2.174928842      3
#> 429          2        1        1       1 0.7366079 2.205933218      3
#> 430          2        1        1       1 0.5121934 1.433922055      2
#> 431          2        1        1       1 0.8767225 0.637859545      1
#> 432          2        1        1       1 0.9563680 0.165187196      1
#> 433          2        1        1       1 0.8062501 0.889606150      2
#> 434          2        1        1       1 0.7188232 1.238629147      2
#> 435          2        1        1       1 0.7683352 1.423308433      2
#> 436          2        1        1       1 0.8553350 1.051895848      2
#> 437          2        1        1       1 0.7972885 1.154806479      2
#> 438          2        1        1       1 2.8793088 1.200154776      2
#> 439          2        1        1       1 0.4221754 2.413562187      3
#> 440          2        1        1       1 0.8371599 1.668663670      3
#> 441          2        1        1       1 1.3730416 1.204039408      2
#> 442          2        1        1       1 1.1573383 0.023516954      1
#> 443          2        1        1       1 0.6318312 1.979151023      3
#> 444          2        1        2       0 1.1547423 0.764357819      1
#> 445          2        1        2       0 1.7361670 0.228314371      1
#> 446          2        1        1       1 0.9805679 1.083586429      2
#> 447          2        1        1       1 1.1399148 1.321908963      2
#> 448          2        1        1       1 1.5902957 0.887876352      2
#> 449          2        1        1       1 0.5910227 1.394996057      2
#> 450          2        1        1       1 1.1400000 0.407814683      1
#> 451          2        1        1       1 0.6002349 1.997527143      3
#> 452          2        1        1       1 0.8078671 0.881890277      2
#> 453          2        1        1       1 1.0230670 1.284709695      2
#> 454          2        1        2       0 1.2923822 0.109782819      1
#> 455          2        1        1       1 0.5589811 1.787516889      3
#> 456          2        1        1       1 1.2749980 1.147844693      2
#> 457          2        1        1       1 0.6438528 2.122891960      3
#> 458          2        1        1       1 1.0467809 1.957067015      3
#> 459          2        1        1       1 1.1852470 0.408798263      1
#> 460          2        1        1       1 0.6146521 0.811391759      2
#> 461          2        1        1       1 1.2963726 0.699606113      1
#> 462          2        1        1       1 0.5840093 1.348889684      2
#> 463          2        1        1       1 3.8727620 0.312847370      1
#> 464          2        1        1       1 0.3665839 1.846304147      3
#> 465          2        1        1       1 0.7938028 0.355852828      1
#> 466          2        1        1       1 0.7668270 1.384325565      2
#> 467          2        1        1       1 1.8118973 0.798415750      1
#> 468          2        1        1       1 0.5442785 1.583285789      3
#> 469          2        1        1       1 2.5828589 1.174853373      2
#> 470          2        1        1       1 1.7071290 1.070299910      2
#> 471          2        1        1       1 1.1848461 0.821761978      2
#> 472          2        1        1       1 1.3349727 1.351179483      2
#> 473          2        1        1       1 0.7677292 2.188393766      3
#> 474          2        1        1       1 0.8217389 0.844583780      2
#> 475          2        1        1       1 0.7635719 1.634230279      3
#> 476          2        1        2       0 1.5090402 0.063380650      1
#> 477          2        1        1       1 0.9677716 1.535306580      3
#> 478          2        1        1       1 1.1834706 0.457492703      1
#> 479          2        1        1       1 1.4352891 1.133764631      2
#> 480          2        1        1       1 0.7013969 0.970618586      2
#> 481          2        1        2       0 3.7250030 0.052115070      1
#> 482          2        1        1       1 0.4470268 2.389767595      3
#> 483          2        1        1       1 0.7016718 1.346952280      2
#> 484          2        1        1       1 4.5706564 0.080900371      1
#> 485          2        1        2       0 1.3507828 0.192532332      1
#> 486          2        1        1       1 1.7715009 0.266123858      1
#> 487          2        1        1       1 2.0057633 0.586964175      1
#> 488          2        1        1       1 0.9017442 1.225061479      2
#> 489          2        1        1       1 1.2924613 1.823706382      3
#> 490          2        1        1       1 1.6027499 1.483400522      2
#> 491          2        1        1       1 2.5145083 0.878620469      2
#> 492          2        1        1       1 0.9286097 0.922658633      2
#> 493          2        1        2       0 1.1196016 0.156528963      1
#> 494          2        1        1       1 0.7082713 0.969855195      2
#> 495          2        1        1       1 1.5353549 0.402108257      1
#> 496          2        1        1       1 1.6486212 0.767215473      1
#> 497          2        1        1       1 1.1316218 0.735901538      1
#> 498          2        1        1       1 1.1964670 0.446359147      1
#> 499          2        1        1       1 1.3017437 1.306152992      2
#> 500          2        1        1       1 1.8602089 0.910871021      2
#> 501          2        1        1       1 1.7287825 0.465378411      1
#> 502          2        1        1       1 2.1086235 0.322202543      1
#> 503          2        1        1       1 1.1310403 0.732672088      1
#> 504          2        1        1       1 0.4749590 2.336727467      3
#> 505          2        1        1       1 0.6502669 1.764555555      3
#> 506          2        1        2       0 2.5547106 0.038405284      1
#> 507          2        1        2       0 3.4806296 0.063152965      1
#> 508          2        1        1       1 3.2612652 0.256463286      1
#> 509          2        1        1       1 0.9981078 0.855027983      2
#> 510          2        1        1       1 1.3203509 0.699628402      1
#> 511          2        1        2       0 1.2110692 1.362920881      2
#> 512          2        1        2       0 2.0642265 0.136098802      1
#> 513          2        1        1       1 0.8130099 1.096262519      2
#> 514          2        1        2       0 1.1647125 0.407722961      1
#> 515          2        1        1       1 1.9582238 1.157950342      2
#> 516          2        1        1       1 0.5709225 1.970126021      3
#> 517          2        1        1       1 1.8316421 0.361201632      1
#> 518          2        1        1       1 0.5537119 2.250720096      3
#> 519          2        1        1       1 1.2619571 1.196441767      2
#> 520          2        1        1       1 0.5770648 1.667814665      3
#> 521          2        1        1       1 0.7115721 1.380678669      2
#> 522          2        1        1       1 0.3402579 1.945891956      3
#> 523          2        1        1       1 0.6351188 1.701151447      3
#> 524          2        1        1       1 0.5918506 1.324261899      2
#> 525          2        1        1       1 0.7945579 1.225980549      2
#> 526          2        1        1       1 0.7836346 2.171346862      3
#> 527          2        1        1       1 1.4643817 0.100611461      1
#> 528          2        1        1       1 0.8430395 1.306989558      2
#> 529          2        1        1       1 0.9226148 0.549173830      1
#> 530          2        1        1       1 3.1283967 0.894169036      2
#> 531          2        1        1       1 0.6830599 1.446429230      2
#> 532          2        1        1       1 0.8631907 1.024369940      2
#> 533          2        1        1       1 1.9645901 0.743829169      1
#> 534          2        1        1       1 1.3491098 1.006647826      2
#> 535          2        1        1       1 0.4760751 1.209216598      2
#> 536          2        1        1       1 1.4287473 1.263830113      2
#> 537          2        1        1       1 1.2679377 2.037183925      3
#> 538          2        1        1       1 1.1833271 1.353302781      2
#> 539          2        1        1       1 3.8564552 1.471008413      2
#> 540          2        1        1       1 0.5564084 1.551028475      3
#> 541          2        1        1       1 0.7850285 1.075948703      2
#> 542          2        1        1       1 1.2617034 1.173351324      2
#> 543          2        1        1       1 1.4535275 1.163064793      2
#> 544          2        1        1       1 0.6929973 1.031355231      2
#> 545          2        1        1       1 0.7221454 0.641062038      1
#> 546          2        1        1       1 2.0237771 0.418259567      1
#> 547          2        1        1       1 1.0534996 0.508841634      1
#> 548          2        1        1       1 0.9418410 1.047118595      2
#> 549          2        1        1       1 1.1070404 1.448505679      2
#> 550          2        1        1       1 0.2820714 3.118192811      3
#> 551          2        1        1       1 0.7875281 0.734177139      1
#> 552          2        1        1       1 1.3028695 0.128672333      1
#> 553          2        1        1       1 1.0081963 0.918715340      2
#> 554          2        1        1       1 0.9621338 0.867099258      2
#> 555          2        1        1       1 0.4961036 1.860397226      3
#> 556          2        1        1       1 0.9205531 1.365637614      2
#> 557          2        1        1       1 1.2132460 0.950632135      2
#> 558          2        1        1       1 1.2948578 0.355633810      1
#> 559          2        1        1       1 1.5961055 0.234225640      1
#> 560          2        1        1       1 0.7290762 0.905909495      2
#> 561          2        1        1       1 0.8029315 1.860224019      3
#> 562          2        1        1       1 0.7192624 1.585563568      3
#> 563          2        1        1       1 1.0009909 2.113962195      3
#> 564          2        1        1       1 0.9306480 1.337105975      2
#> 565          2        1        1       1 0.7034431 0.901347983      2
#> 566          2        1        1       1 0.9702768 0.808310964      2
#> 567          2        1        1       1 1.0483843 1.671854530      3
#> 568          2        1        1       1 2.8012154 1.006609461      2
#> 569          2        1        1       1 0.9223385 0.949835796      2
#> 570          2        1        2       0 1.8234037 0.203701532      1
#> 571          2        1        1       1 0.7696628 1.081853195      2
#> 572          2        1        1       1 1.2458833 2.567603582      3
#> 573          2        1        1       1 0.6522165 0.327442120      1
#> 574          2        1        1       1 1.1055560 0.388064424      1
#> 575          2        1        1       1 2.1316688 0.880310154      2
#> 576          2        1        1       1 0.9321023 0.048209101      1
#> 577          2        1        1       1 0.7621237 0.013963093      1
#> 578          2        1        1       1 0.6213141 1.500006992      3
#> 579          2        1        1       1 0.6784802 1.839418568      3
#> 580          2        1        1       1 0.9601804 1.775704186      3
#> 581          2        1        1       1 1.2602502 0.679161878      1
#> 582          2        1        1       1 0.4560493 1.223737785      2
#> 583          2        1        1       1 0.8663117 1.828631283      3
#> 584          2        1        1       1 1.6103173 0.506463801      1
#> 585          2        1        1       1 0.6321674 1.661057690      3
#> 586          2        1        1       1 0.9954118 0.598194179      1
#> 587          2        1        1       1 1.7552570 1.655342648      3
#> 588          2        1        1       1 0.9727598 0.625284110      1
#> 589          2        1        1       1 0.9818291 0.967920670      2
#> 590          2        1        1       1 1.2404613 0.712817192      1
#> 591          2        1        1       1 1.7172673 0.878760455      2
#> 592          2        1        1       1 1.9028670 0.179957556      1
#> 593          2        1        1       1 2.1239631 1.380145039      2
#> 594          2        1        1       1 1.0686879 1.797586469      3
#> 595          2        1        1       1 0.7954518 0.673645104      1
#> 596          2        1        1       1 0.7768396 1.584299949      3
#> 597          2        1        1       1 0.6200117 2.688198349      3
#> 598          2        1        1       1 0.6020282 0.373609738      1
#> 599          2        1        1       1 0.6206258 1.957585338      3
#> 600          2        1        1       1 2.1933215 1.588541137      3
#> 601          2        1        1       1 0.5644699 1.716360700      3
#> 602          2        1        1       1 0.8397807 2.032791602      3
#> 603          2        1        1       1 0.7645445 0.448566841      1
#> 604          2        1        1       1 1.0947182 1.158399315      2
#> 605          2        1        1       1 3.6202256 0.936890457      2
#> 606          2        1        1       1 1.0853295 1.359262191      2
#> 607          2        1        1       1 1.7700639 0.793864575      1
#> 608          2        1        1       1 1.0114573 1.032019570      2
#> 609          2        1        1       1 1.0374333 1.337377404      2
#> 610          2        1        1       1 1.0778655 1.637598622      3
#> 611          2        1        1       1 1.2453304 2.057596497      3
#> 612          2        1        1       1 2.3889616 0.433838539      1
#> 613          2        1        1       1 1.0706546 1.697102236      3
#> 614          2        1        2       0 0.6279529 0.846872266      2
#> 615          2        1        1       1 0.4241701 1.576659550      3
#> 616          2        1        1       1 0.8915357 1.642109372      3
#> 617          2        1        2       0 0.6500027 0.755351567      1
#> 618          2        1        1       1 1.4210355 0.975412029      2
#> 619          2        1        1       1 0.8002098 1.936159163      3
#> 620          2        1        1       1 1.2184795 1.321375202      2
#> 621          2        1        1       1 1.0881169 1.643801948      3
#> 622          2        1        1       1 0.6647563 0.498367654      1
#> 623          2        1        1       1 1.2218453 0.672250276      1
#> 624          2        1        2       0 1.6279992 0.156201998      1
#> 625          2        1        1       1 0.8488294 1.914572583      3
#> 626          2        1        2       0 3.0033156 0.613987785      1
#> 627          2        1        1       1 1.7554892 0.814214953      2
#> 628          2        1        1       1 0.8011062 1.192883396      2
#> 629          2        1        1       1 0.9177229 1.090535470      2
#> 630          2        1        1       1 1.1455767 1.396253866      2
#> 631          2        1        1       1 1.0866573 0.914284813      2
#> 632          2        1        1       1 0.7941967 1.478605383      2
#> 633          2        1        1       1 1.0413912 0.867188665      2
#> 634          2        1        1       1 2.2723894 0.305465832      1
#> 635          2        1        1       1 1.1976912 0.761929350      1
#> 636          2        1        1       1 1.3502495 1.648584557      3
#> 637          2        1        1       1 0.7818078 1.377119682      2
#> 638          2        1        1       1 1.4154693 0.076426465      1
#> 639          2        1        1       1 1.6730715 0.490703887      1
#> 640          2        1        1       1 1.1606973 1.491693911      2
#> 641          2        1        1       1 1.7671283 1.020613714      2
#> 642          2        1        1       1 4.1141013 0.074414486      1
#> 643          2        1        2       0 1.6358110 0.049505801      1
#> 644          2        1        2       0 2.9505867 0.131952015      1
#> 645          2        1        1       1 2.0584268 1.065726906      2
#> 646          2        1        1       1 0.6458083 1.534044075      3
#> 647          2        1        1       1 2.0455077 0.385569105      1
#> 648          2        1        1       1 1.0181299 1.063682316      2
#> 649          2        1        1       1 1.0699389 0.336976566      1
#> 650          2        1        1       1 0.8450239 1.125347819      2
#> 651          2        1        1       1 1.0381061 0.963576895      2
#> 652          2        1        1       1 1.5147487 1.191605139      2
#> 653          2        1        1       1 0.9267088 1.630745962      3
#> 654          2        1        1       1 1.6862041 0.589358209      1
#> 655          2        1        1       1 1.5293297 0.379033249      1
#> 656          2        1        1       1 0.9302906 1.023553940      2
#> 657          2        1        1       1 0.3292890 2.251079386      3
#> 658          2        1        1       1 1.0006455 1.648387092      3
#> 659          2        1        1       1 0.6148290 0.726608271      1
#> 660          2        1        2       0 1.3052422 0.050237555      1
#> 661          2        1        1       1 1.2787286 0.929828641      2
#> 662          2        1        1       1 1.5797219 0.671308672      1
#> 663          2        1        1       1 2.0946458 1.484850782      2
#> 664          2        1        1       1 0.7357228 0.488497673      1
#> 665          2        1        1       1 0.4823371 1.519869731      3
#> 666          2        1        1       1 1.0379942 0.641086448      1
#> 667          2        1        1       1 0.8714157 0.568610650      1
#> 668          2        1        1       1 1.7443040 0.337278058      1
#> 669          2        1        1       1 1.9207632 0.345973516      1
#> 670          2        1        2       0 1.4293879 0.268878393      1
#> 671          2        1        1       1 0.6869071 0.704878036      1
#> 672          2        1        1       1 1.8941529 0.024231123      1
#> 673          2        1        1       1 1.9081117 0.291468604      1
#> 674          2        1        1       1 0.7315404 1.856744624      3
#> 675          2        1        2       0 1.5956443 0.335061996      1
#> 676          2        1        1       1 0.9133770 2.749697625      3
#> 677          2        1        1       1 1.0615546 1.238331270      2
#> 678          2        1        1       1 1.2317482 0.900802675      2
#> 679          2        1        1       1 1.0670890 1.787723277      3
#> 680          2        1        1       1 1.0538293 2.013164696      3
#> 681          2        1        1       1 0.8521933 1.359407107      2
#> 682          2        1        2       0 1.6486921 0.246261607      1
#> 683          2        1        1       1 1.7868856 0.779749974      1
#> 684          2        1        1       1 0.4118525 2.132234182      3
#> 685          2        1        1       1 2.6616369 0.184381166      1
#> 686          2        1        1       1 1.4354895 0.187203071      1
#> 687          2        1        1       1 1.2058703 0.798558264      1
#> 688          2        1        1       1 1.0834370 1.504514769      3
#> 689          2        1        2       0 1.2155954 0.450954805      1
#> 690          2        1        1       1 0.4823163 3.005422409      3
#> 691          2        1        1       1 0.4981396 2.067194397      3
#> 692          2        1        1       1 0.4664614 1.488425621      2
#> 693          2        1        1       1 1.0606222 0.686491911      1
#> 694          2        1        1       1 0.5222966 2.309018945      3
#> 695          2        1        1       1 1.9784849 0.893366853      2
#> 696          2        1        1       1 1.4891598 0.091033964      1
#> 697          2        1        1       1 2.5933583 0.130929128      1
#> 698          2        1        1       1 0.9015608 1.614746514      3
#> 699          2        1        1       1 1.4510277 1.155488789      2
#> 700          2        1        1       1 1.1590952 0.671738068      1
#> 701          2        1        1       1 0.4197243 0.942626385      2
#> 702          2        1        1       1 0.3833799 2.237019684      3
#> 703          2        1        1       1 0.8812505 0.991607420      2
#> 704          2        1        1       1 0.6113553 0.369588940      1
#> 705          2        1        1       1 0.9726940 1.045420716      2
#> 706          2        1        1       1 0.6213174 2.632094866      3
#> 707          2        1        1       1 0.4234496 1.764907956      3
#> 708          2        1        1       1 2.0201853 1.040950221      2
#> 709          2        1        1       1 0.6810554 1.260846722      2
#> 710          2        1        1       1 0.4355233 2.529704354      3
#> 711          2        1        1       1 0.8864104 0.481827382      1
#> 712          2        1        1       1 1.7524839 0.469546650      1
#> 713          2        1        1       1 0.4975020 1.581168172      3
#> 714          2        1        1       1 0.9170987 2.087499111      3
#> 715          2        1        1       1 0.6749642 1.866215060      3
#> 716          2        1        2       0 1.0223321 0.066552891      1
#> 717          2        1        1       1 1.1927782 1.702164253      3
#> 718          2        1        1       1 0.8626952 1.768523717      3
#> 719          2        1        1       1 1.3536443 1.326646132      2
#> 720          2        1        1       1 1.9262354 0.407470076      1
#> 721          2        1        2       0 1.3607531 0.778850120      1
#> 722          2        1        1       1 2.2750878 1.182535962      2
#> 723          2        1        1       1 0.8243333 0.006191140      1
#> 724          2        1        1       1 0.9842183 1.345587306      2
#> 725          2        1        1       1 0.7049728 0.287143364      1
#> 726          2        1        1       1 0.6397107 0.767370652      1
#> 727          2        1        1       1 1.3207043 1.252175499      2
#> 728          2        1        1       1 0.8642558 0.892699936      2
#> 729          2        1        2       0 0.8155210 0.367249124      1
#> 730          2        1        1       1 0.8551839 1.530112750      3
#> 731          2        1        2       0 1.2065943 0.140858283      1
#> 732          2        1        1       1 0.7824826 1.804314894      3
#> 733          2        1        2       0 1.7010140 0.246969669      1
#> 734          2        1        1       1 1.1810305 0.634163442      1
#> 735          2        1        1       1 0.5769430 1.281566617      2
#> 736          2        1        1       1 0.7168224 1.676497229      3
#> 737          2        1        2       0 2.7410385 0.061332566      1
#> 738          2        1        1       1 0.4256006 2.893316536      3
#> 739          2        1        1       1 0.9161168 0.291745646      1
#> 740          2        1        1       1 0.7624971 1.794630429      3
#> 741          2        1        2       0 1.3735156 0.730852317      1
#> 742          2        1        1       1 0.9952951 1.123157352      2
#> 743          2        1        1       1 1.4746945 0.796907708      1
#> 744          2        1        1       1 1.0766235 1.740373463      3
#> 745          2        1        1       1 0.4165279 2.143290602      3
#> 746          2        1        1       1 0.6557679 1.342351101      2
#> 747          2        1        1       1 1.3979997 0.801675334      2
#> 748          2        1        1       1 1.0960714 1.072911445      2
#> 749          2        1        1       1 4.5930090 0.468880101      1
#> 750          2        1        1       1 1.3573922 0.893290602      2
#> 751          2        1        2       0 0.7829652 0.371603008      1
#> 752          2        1        1       1 0.8256626 0.834766858      2
#> 753          2        1        1       1 0.9590145 1.215460735      2
#> 754          2        1        1       1 1.0028148 0.133107343      1
#> 755          2        1        1       1 0.9613025 0.880987104      2
#> 756          2        1        2       0 3.0641441 0.301434842      1
#> 757          2        1        1       1 0.8665680 1.614099734      3
#> 758          2        1        1       1 0.9063244 1.870427226      3
#> 759          2        1        1       1 1.2545437 1.129777735      2
#> 760          2        1        1       1 2.1876715 0.264137297      1
#> 761          2        1        1       1 0.7002765 1.241501655      2
#> 762          2        1        2       0 1.1100434 0.144358844      1
#> 763          2        1        1       1 1.2214713 1.821111011      3
#> 764          2        1        1       1 1.4461745 0.902823574      2
#> 765          2        1        1       1 1.5071588 2.125220777      3
#> 766          2        1        1       1 2.3595978 0.459270892      1
#> 767          2        1        1       1 2.1948628 0.610239891      1
#> 768          2        1        1       1 2.3840763 0.974374655      2
#> 769          2        1        2       0 1.1634341 0.088598596      1
#> 770          2        1        2       0 1.1271240 1.004549872      2
#> 771          2        1        1       1 1.2553936 1.122803590      2
#> 772          2        1        1       1 1.7293006 0.550018168      1
#> 773          2        1        1       1 1.2797135 0.566884916      1
#> 774          2        1        1       1 1.1248532 1.917796489      3
#> 775          2        1        1       1 1.8044718 1.547151231      3
#> 776          2        1        1       1 0.6855131 1.646848051      3
#> 777          2        1        1       1 1.4293364 0.829169495      2
#> 778          2        1        1       1 0.9570424 0.672437599      1
#> 779          2        1        1       1 2.9367098 0.770617764      1
#> 780          2        1        1       1 1.7725819 1.424008253      2
#> 781          2        1        1       1 1.0856976 0.414307034      1
#> 782          2        1        1       1 1.4210724 0.916807228      2
#> 783          2        1        1       1 1.4519120 0.963406919      2
#> 784          2        1        1       1 1.8272966 0.117105372      1
#> 785          2        1        1       1 0.5300526 1.724242723      3
#> 786          2        1        1       1 1.2381707 0.898494208      2
#> 787          2        1        2       0 1.8606577 0.281921582      1
#> 788          2        1        1       1 1.1139902 0.466592130      1
#> 789          2        1        1       1 2.8623398 0.524001917      1
#> 790          2        1        1       1 0.7185155 1.789891751      3
#> 791          2        1        1       1 0.6921921 0.097608238      1
#> 792          2        1        2       0 1.3875901 0.097059886      1
#> 793          2        1        1       1 1.9119840 0.975882281      2
#> 794          2        1        1       1 0.6692768 2.280621990      3
#> 795          2        1        1       1 0.4455238 1.039541478      2
#> 796          2        1        2       0 1.4876109 0.010775321      1
#> 797          2        1        1       1 1.0553071 1.589167942      3
#> 798          2        1        1       1 1.8285017 0.649404186      1
#> 799          2        1        1       1 0.7540430 0.598746370      1
#> 800          2        1        1       1 1.3676476 0.258989673      1
#> 801          1        2        1       0 2.7458781 0.158839168      1
#> 802          1        2        2       1 2.6752083 0.078155713      1
#> 803          1        2        1       0 4.8723804 0.742390886      1
#> 804          1        2        2       1 5.6734007 0.426560290      1
#> 805          1        2        1       0 1.7316751 0.735425063      1
#> 806          1        2        2       1 2.0275341 0.403564695      1
#> 807          1        2        2       1 2.4850856 0.363081073      1
#> 808          1        2        2       1 3.1975335 0.367855609      1
#> 809          1        2        2       1 0.8136134 1.644600520      3
#> 810          1        2        1       0 0.9941223 0.566680219      1
#> 811          1        2        2       1 0.6567696 1.665501370      3
#> 812          1        2        1       0 1.5895686 0.055802984      1
#> 813          1        2        2       1 2.2195052 0.707347467      1
#> 814          1        2        2       1 1.7928505 0.607316187      1
#> 815          1        2        2       1 1.2625630 1.078740702      2
#> 816          1        2        1       0 2.8341544 0.044323908      1
#> 817          1        2        2       1 2.1050190 1.384833252      2
#> 818          1        2        2       1 0.9281862 0.174261817      1
#> 819          1        2        2       1 3.2943611 0.023656302      1
#> 820          1        2        2       1 0.9685080 2.291602932      3
#> 821          1        2        2       1 1.3483715 0.333710644      1
#> 822          1        2        1       0 2.3335008 0.067637939      1
#> 823          1        2        2       1 2.4134446 0.323185248      1
#> 824          1        2        2       1 0.9004973 1.949830112      3
#> 825          1        2        2       1 1.3309571 0.422560351      1
#> 826          1        2        1       0 1.6793210 0.012494329      1
#> 827          1        2        2       1 2.1895261 0.605031803      1
#> 828          1        2        2       1 0.9343545 1.052641557      2
#> 829          1        2        1       0 0.9958830 0.410264126      1
#> 830          1        2        2       1 2.1165757 0.227766375      1
#> 831          1        2        2       1 0.9434875 1.109962977      2
#> 832          1        2        1       0 1.7575762 0.343408166      1
#> 833          1        2        2       1 1.4358346 1.039776090      2
#> 834          1        2        2       1 1.5769478 0.625873078      1
#> 835          1        2        2       1 1.6238681 0.412745357      1
#> 836          1        2        1       0 1.3491149 0.007406806      1
#> 837          1        2        2       1 1.5463711 1.957582127      3
#> 838          1        2        2       1 1.7304682 1.275473444      2
#> 839          1        2        2       1 2.2831089 0.048421198      1
#> 840          1        2        1       0 1.7853554 0.201546921      1
#> 841          1        2        2       1 1.1035480 0.433163668      1
#> 842          1        2        2       1 2.5282997 0.365318732      1
#> 843          1        2        2       1 1.7567600 1.579263237      3
#> 844          1        2        1       0 3.4738520 0.254706344      1
#> 845          1        2        2       1 1.5388934 0.312907601      1
#> 846          1        2        2       1 1.4506227 0.521875149      1
#> 847          1        2        2       1 0.7773403 0.718214661      1
#> 848          1        2        1       0 1.0993609 0.460277298      1
#> 849          1        2        2       1 1.9781669 0.578658210      1
#> 850          1        2        1       0 1.1251749 0.197540515      1
#> 851          1        2        2       1 1.7039393 1.132854187      2
#> 852          1        2        1       0 2.8194175 0.624428607      1
#> 853          1        2        2       1 1.0560877 1.918188882      3
#> 854          1        2        2       1 1.0494027 0.300313753      1
#> 855          1        2        2       1 1.3358982 0.719459305      1
#> 856          1        2        2       1 2.0165183 0.160748870      1
#> 857          1        2        2       1 1.7194221 0.283485491      1
#> 858          1        2        2       1 2.0114035 0.431588928      1
#> 859          1        2        2       1 0.9286617 0.462815917      1
#> 860          1        2        1       0 2.2150757 0.170428106      1
#> 861          1        2        2       1 1.2006152 1.073834526      2
#> 862          1        2        2       1 0.8479911 1.015438253      2
#> 863          1        2        2       1 1.0690190 0.483687685      1
#> 864          1        2        2       1 1.1104527 1.516305620      3
#> 865          1        2        1       0 1.3979814 1.240743404      2
#> 866          1        2        2       1 1.3064652 1.088147213      2
#> 867          1        2        2       1 1.8287744 0.994481534      2
#> 868          1        2        2       1 0.9463881 1.007756048      2
#> 869          1        2        1       0 0.9130064 0.687672385      1
#> 870          1        2        2       1 0.6845140 0.734608278      1
#> 871          1        2        2       1 1.0571883 1.102166014      2
#> 872          1        2        2       1 1.3853282 0.677501949      1
#> 873          1        2        2       1 2.1608290 0.449607386      1
#> 874          1        2        2       1 3.3772106 0.127733896      1
#> 875          1        2        2       1 1.9962384 0.005627509      1
#> 876          1        2        2       1 1.9173478 0.099511141      1
#> 877          1        2        1       0 2.6820745 0.226553145      1
#> 878          1        2        2       1 1.4478251 1.220180342      2
#> 879          1        2        2       1 0.9811116 1.821401917      3
#> 880          1        2        2       1 1.9144719 0.788570948      1
#> 881          1        2        2       1 1.3396898 0.298347202      1
#> 882          1        2        2       1 1.2213200 1.103915468      2
#> 883          1        2        1       0 1.6305515 0.086486631      1
#> 884          1        2        2       1 1.4997912 0.468501073      1
#> 885          1        2        2       1 0.9527425 0.551533360      1
#> 886          1        2        2       1 1.4720276 0.490284348      1
#> 887          1        2        2       1 0.9264471 0.034707401      1
#> 888          1        2        2       1 1.4837388 1.079339288      2
#> 889          1        2        2       1 2.0782595 0.471809299      1
#> 890          1        2        2       1 1.5171211 0.028579359      1
#> 891          1        2        1       0 1.2674545 0.375095419      1
#> 892          1        2        2       1 1.7111698 0.646762818      1
#> 893          1        2        2       1 1.2723144 0.470940922      1
#> 894          1        2        2       1 1.5007213 0.680448862      1
#> 895          1        2        2       1 2.2599325 0.067593742      1
#> 896          1        2        2       1 0.9623593 0.973258156      2
#> 897          1        2        2       1 0.4171688 2.066487710      3
#> 898          1        2        1       0 1.1201243 0.091105097      1
#> 899          1        2        2       1 0.6457118 1.092246718      2
#> 900          1        2        2       1 0.8725483 1.296223478      2
#> 901          1        2        2       1 1.4654622 1.186989264      2
#> 902          1        2        2       1 4.5874365 0.895301742      2
#> 903          1        2        1       0 1.1407180 0.085931190      1
#> 904          1        2        2       1 2.2477287 1.030059355      2
#> 905          1        2        2       1 0.9154784 1.060891124      2
#> 906          1        2        2       1 1.0122864 1.174169187      2
#> 907          1        2        2       1 1.4753789 0.916272743      2
#> 908          1        2        2       1 1.1727676 0.099654592      1
#> 909          1        2        1       0 2.1289926 0.210412946      1
#> 910          1        2        1       0 1.6093845 0.022193900      1
#> 911          1        2        2       1 0.8969913 2.082432891      3
#> 912          1        2        2       1 4.1665763 0.167680076      1
#> 913          1        2        2       1 0.9416368 1.672490718      3
#> 914          1        2        1       0 1.3357577 0.279975187      1
#> 915          1        2        2       1 1.0537096 0.989537502      2
#> 916          1        2        2       1 1.1875914 0.411885729      1
#> 917          1        2        2       1 1.0539306 1.066904321      2
#> 918          1        2        2       1 1.3719517 1.515756134      3
#> 919          1        2        2       1 1.3730545 1.230014551      2
#> 920          1        2        2       1 2.2658309 0.110055176      1
#> 921          1        2        2       1 1.5104528 1.839936012      3
#> 922          1        2        2       1 2.9866000 0.032003462      1
#> 923          1        2        2       1 1.9151232 0.036160456      1
#> 924          1        2        2       1 1.1637887 2.040785131      3
#> 925          1        2        2       1 1.9300044 0.178809968      1
#> 926          1        2        2       1 3.2099332 0.087331043      1
#> 927          1        2        1       0 2.9472375 0.462994967      1
#> 928          1        2        2       1 1.8376260 0.707839620      1
#> 929          1        2        1       0 1.6242205 0.653864857      1
#> 930          1        2        1       0 1.8037015 0.125805952      1
#> 931          1        2        1       0 1.0707154 0.941416276      2
#> 932          1        2        2       1 2.4032158 0.052326321      1
#> 933          1        2        2       1 1.9702549 0.772609019      1
#> 934          1        2        2       1 1.0961054 0.643942132      1
#> 935          1        2        2       1 1.1569762 1.674399381      3
#> 936          1        2        1       0 2.2577090 0.474328357      1
#> 937          1        2        2       1 2.8366743 0.262649173      1
#> 938          1        2        1       0 2.5201335 0.527925956      1
#> 939          1        2        2       1 2.1265775 0.766061196      1
#> 940          1        2        2       1 1.9552119 0.993937137      2
#> 941          1        2        2       1 1.6567572 0.807044576      2
#> 942          1        2        1       0 1.7563317 0.102548099      1
#> 943          1        2        2       1 1.0413684 0.680288417      1
#> 944          1        2        1       0 1.3896650 0.787061425      1
#> 945          1        2        1       0 2.0343688 0.596404345      1
#> 946          1        2        1       0 2.7175951 0.651007324      1
#> 947          1        2        2       1 0.6720920 1.051787392      2
#> 948          1        2        2       1 1.2628076 0.609792697      1
#> 949          1        2        1       0 1.5323797 0.665624127      1
#> 950          1        2        2       1 0.8856493 1.531607092      3
#> 951          1        2        2       1 1.5847239 0.689436755      1
#> 952          1        2        1       0 1.2333479 0.301150402      1
#> 953          1        2        2       1 5.2177006 0.144310695      1
#> 954          1        2        2       1 5.8975347 0.077931313      1
#> 955          1        2        2       1 1.4926756 0.100495281      1
#> 956          1        2        2       1 2.1497337 0.604582679      1
#> 957          1        2        2       1 1.3710514 0.541456697      1
#> 958          1        2        2       1 2.1638324 0.815440378      2
#> 959          1        2        2       1 3.6127174 0.515877555      1
#> 960          1        2        2       1 1.0427251 1.001792713      2
#> 961          1        2        2       1 1.6556815 0.207242656      1
#> 962          1        2        2       1 4.0637193 0.021604752      1
#> 963          1        2        2       1 1.8002847 0.424416609      1
#> 964          1        2        2       1 0.9859502 2.165973367      3
#> 965          1        2        2       1 0.8838607 0.400006301      1
#> 966          1        2        2       1 1.8195461 0.759877491      1
#> 967          1        2        2       1 0.8292150 0.632308313      1
#> 968          1        2        2       1 2.7807873 0.087439910      1
#> 969          1        2        2       1 2.5188736 0.624647172      1
#> 970          1        2        2       1 1.0439510 0.483876461      1
#> 971          1        2        2       1 0.9834307 0.279476193      1
#> 972          1        2        2       1 1.4880949 0.869511278      2
#> 973          1        2        1       0 1.6456051 0.167546296      1
#> 974          1        2        2       1 1.1326150 0.814672643      2
#> 975          1        2        2       1 0.8745776 1.219432788      2
#> 976          1        2        2       1 1.1634649 1.192419802      2
#> 977          1        2        1       0 5.2918805 0.708451411      1
#> 978          1        2        2       1 2.1174252 1.587121601      3
#> 979          1        2        2       1 2.3698790 0.118584834      1
#> 980          1        2        1       0 0.8916850 1.321123523      2
#> 981          1        2        2       1 1.4238257 0.065402015      1
#> 982          1        2        2       1 1.6498918 0.440158021      1
#> 983          1        2        1       0 2.1666835 0.267614574      1
#> 984          1        2        2       1 0.6671432 1.218352214      2
#> 985          1        2        2       1 1.8518738 0.283483862      1
#> 986          1        2        2       1 0.8246281 1.192800421      2
#> 987          1        2        1       0 1.7036419 0.066167123      1
#> 988          1        2        2       1 2.1018580 0.777563191      1
#> 989          1        2        2       1 1.1996969 0.980517445      2
#> 990          1        2        2       1 1.1257461 1.158614602      2
#> 991          1        2        2       1 0.6977086 1.784948234      3
#> 992          1        2        2       1 1.0106536 0.952448718      2
#> 993          1        2        2       1 2.3632628 0.052888899      1
#> 994          1        2        2       1 1.1108589 1.675920833      3
#> 995          1        2        1       0 0.9721367 0.794744273      1
#> 996          1        2        2       1 2.0203416 0.084986899      1
#> 997          1        2        2       1 1.6217108 0.641152786      1
#> 998          1        2        2       1 1.7585981 0.859303859      2
#> 999          1        2        2       1 1.1492514 1.563249905      3
#> 1000         1        2        2       1 3.4008865 0.005112749      1
#> 1001         1        2        2       1 1.3597474 0.609331598      1
#> 1002         1        2        2       1 1.2343732 1.253271915      2
#> 1003         1        2        2       1 1.7060888 1.033110245      2
#> 1004         1        2        2       1 0.4667638 2.572983597      3
#> 1005         1        2        2       1 3.9145830 0.187517093      1
#> 1006         1        2        2       1 1.2494218 0.866631410      2
#> 1007         1        2        1       0 0.9732062 0.653244734      1
#> 1008         1        2        1       0 0.9045726 0.239530353      1
#> 1009         1        2        1       0 2.4921271 0.093606045      1
#> 1010         1        2        2       1 1.9314728 1.227924340      2
#> 1011         1        2        2       1 1.3666698 0.781217877      1
#> 1012         1        2        2       1 1.4458107 0.381785798      1
#> 1013         1        2        1       0 0.8183310 0.128155436      1
#> 1014         1        2        2       1 0.9248587 0.130353750      1
#> 1015         1        2        2       1 1.1868776 0.817560162      2
#> 1016         1        2        2       1 2.8407515 0.510081799      1
#> 1017         1        2        2       1 2.5734426 1.077595979      2
#> 1018         1        2        1       0 0.7042840 1.029104093      2
#> 1019         1        2        2       1 1.7767085 0.108202072      1
#> 1020         1        2        2       1 2.4199132 0.602888020      1
#> 1021         1        2        2       1 1.1965857 0.309624648      1
#> 1022         1        2        2       1 2.4122277 0.073939280      1
#> 1023         1        2        1       0 1.2032725 0.067692351      1
#> 1024         1        2        2       1 1.2708467 0.648953735      1
#> 1025         1        2        2       1 0.9549677 1.179935283      2
#> 1026         1        2        1       0 1.9001001 0.129771989      1
#> 1027         1        2        2       1 1.0168984 1.094335614      2
#> 1028         1        2        2       1 2.3349541 1.014157156      2
#> 1029         1        2        1       0 1.8129755 0.935297079      2
#> 1030         1        2        2       1 1.2595881 0.484598402      1
#> 1031         1        2        1       0 1.1098110 1.257315302      2
#> 1032         1        2        2       1 1.0941335 1.099910753      2
#> 1033         1        2        2       1 5.1032624 0.106628469      1
#> 1034         1        2        2       1 0.8446800 0.891335177      2
#> 1035         1        2        2       1 1.7729763 0.244596206      1
#> 1036         1        2        2       1 1.1041890 0.428108224      1
#> 1037         1        2        1       0 1.1338489 1.154335489      2
#> 1038         1        2        1       0 1.5349345 0.703188877      1
#> 1039         1        2        1       0 1.6118189 0.036548563      1
#> 1040         1        2        2       1 1.2717933 1.827600105      3
#> 1041         1        2        1       0 2.4342052 0.102905469      1
#> 1042         1        2        2       1 2.3143358 1.018430595      2
#> 1043         1        2        1       0 2.5865331 0.191873309      1
#> 1044         1        2        2       1 1.1355432 0.515638294      1
#> 1045         1        2        1       0 1.3631597 0.452422428      1
#> 1046         1        2        2       1 1.2042584 1.722672853      3
#> 1047         1        2        1       0 2.7004801 0.482290320      1
#> 1048         1        2        2       1 2.2740283 0.674957570      1
#> 1049         1        2        2       1 1.8596794 0.785058133      1
#> 1050         1        2        2       1 2.4973393 0.316139418      1
#> 1051         1        2        1       0 1.0654516 0.111617805      1
#> 1052         1        2        1       0 1.2185005 0.847266797      2
#> 1053         1        2        1       0 1.2819952 0.279909261      1
#> 1054         1        2        2       1 1.2049222 1.351823952      2
#> 1055         1        2        2       1 1.1634982 1.191233109      2
#> 1056         1        2        2       1 0.5468182 3.436413082      3
#> 1057         1        2        2       1 1.3051736 0.696170836      1
#> 1058         1        2        2       1 2.1177123 1.442086587      2
#> 1059         1        2        2       1 1.2246716 0.149306673      1
#> 1060         1        2        1       0 2.9966480 0.093363336      1
#> 1061         1        2        2       1 2.4448486 0.419853314      1
#> 1062         1        2        2       1 2.8637207 0.098847363      1
#> 1063         1        2        2       1 1.3652861 0.455181823      1
#> 1064         1        2        1       0 1.6462380 0.645300268      1
#> 1065         1        2        1       0 1.6146144 0.309613898      1
#> 1066         1        2        2       1 2.8037668 0.861968467      2
#> 1067         1        2        2       1 1.7872653 1.802660435      3
#> 1068         1        2        2       1 3.3663406 0.433981222      1
#> 1069         1        2        2       1 1.0033315 1.164544645      2
#> 1070         1        2        1       0 1.0520560 0.225909022      1
#> 1071         1        2        2       1 1.6241903 0.880537172      2
#> 1072         1        2        1       0 1.7347936 0.289770938      1
#> 1073         1        2        1       0 1.2525199 0.479682481      1
#> 1074         1        2        1       0 5.6477177 0.068331595      1
#> 1075         1        2        2       1 1.3268718 0.434274419      1
#> 1076         1        2        2       1 0.9262892 1.589751968      3
#> 1077         1        2        2       1 1.9236505 0.674510310      1
#> 1078         1        2        2       1 1.8940988 0.282867209      1
#> 1079         1        2        2       1 2.9511844 0.424518350      1
#> 1080         1        2        1       0 2.2985986 0.141186523      1
#> 1081         1        2        1       0 2.3457791 0.414077464      1
#> 1082         1        2        2       1 1.2401729 1.230764183      2
#> 1083         1        2        2       1 1.1389244 0.890010410      2
#> 1084         1        2        2       1 1.0751300 0.933942912      2
#> 1085         1        2        2       1 1.8686976 0.712721438      1
#> 1086         1        2        2       1 0.9673311 1.197420005      2
#> 1087         1        2        1       0 1.5217289 0.051429517      1
#> 1088         1        2        2       1 0.7253988 1.763684223      3
#> 1089         1        2        2       1 3.0330161 0.137848420      1
#> 1090         1        2        2       1 1.0263784 0.417741760      1
#> 1091         1        2        2       1 1.6409225 0.596407705      1
#> 1092         1        2        2       1 1.3698604 0.396761638      1
#> 1093         1        2        1       0 1.6705749 0.063487967      1
#> 1094         1        2        2       1 1.0788239 0.377050621      1
#> 1095         1        2        1       0 2.5388019 0.312799374      1
#> 1096         1        2        2       1 1.3492550 0.813303100      2
#> 1097         1        2        1       0 1.5903815 0.680426805      1
#> 1098         1        2        2       1 3.4742760 0.248128362      1
#> 1099         1        2        1       0 0.5928047 2.033586401      3
#> 1100         1        2        2       1 1.4659376 0.585955482      1
#> 1101         1        2        2       1 1.2164751 0.995141397      2
#> 1102         1        2        1       0 0.5778614 1.088553326      2
#> 1103         1        2        2       1 1.6038116 0.334427680      1
#> 1104         1        2        2       1 0.8256314 2.073465464      3
#> 1105         1        2        2       1 1.9198430 0.096992297      1
#> 1106         1        2        2       1 2.2018006 0.607535233      1
#> 1107         1        2        2       1 1.3435850 0.753615452      1
#> 1108         1        2        2       1 1.0802570 0.659276420      1
#> 1109         1        2        2       1 0.9149277 0.415889381      1
#> 1110         1        2        2       1 1.8553862 0.818979212      2
#> 1111         1        2        1       0 2.1367398 0.786658109      1
#> 1112         1        2        2       1 2.3169162 1.186524983      2
#> 1113         1        2        1       0 1.7697368 0.039862787      1
#> 1114         1        2        2       1 2.1441183 0.449283931      1
#> 1115         1        2        2       1 1.3562846 0.005821711      1
#> 1116         1        2        2       1 1.9383326 0.197603004      1
#> 1117         1        2        2       1 2.9255818 1.057202142      2
#> 1118         1        2        2       1 0.5859426 0.939819856      2
#> 1119         1        2        2       1 0.8050458 1.473781478      2
#> 1120         1        2        2       1 1.7431988 0.309223265      1
#> 1121         1        2        2       1 2.4119314 1.156155010      2
#> 1122         1        2        2       1 2.8200239 0.494207635      1
#> 1123         1        2        2       1 1.1895938 1.044424658      2
#> 1124         1        2        2       1 1.9116298 0.684768493      1
#> 1125         1        2        2       1 2.6631227 0.385348978      1
#> 1126         1        2        2       1 1.3689398 1.381402127      2
#> 1127         1        2        2       1 3.0849009 0.239661795      1
#> 1128         1        2        2       1 1.4887786 0.196644864      1
#> 1129         1        2        2       1 1.4984006 1.677740952      3
#> 1130         1        2        2       1 1.4990802 0.425579482      1
#> 1131         1        2        1       0 3.3249798 0.258006352      1
#> 1132         1        2        2       1 0.9466640 2.002814036      3
#> 1133         1        2        2       1 0.5402902 0.782935764      1
#> 1134         1        2        2       1 2.3422130 0.066683343      1
#> 1135         1        2        2       1 1.9122533 1.266880621      2
#> 1136         1        2        1       0 1.9608863 0.328304258      1
#> 1137         1        2        2       1 2.6215634 0.615257684      1
#> 1138         1        2        2       1 1.5401743 0.439166519      1
#> 1139         1        2        1       0 0.9793237 0.405773469      1
#> 1140         1        2        2       1 0.8348714 1.707788409      3
#> 1141         1        2        2       1 0.6687428 1.473244733      2
#> 1142         1        2        1       0 3.9090609 0.559921164      1
#> 1143         1        2        1       0 2.6953754 0.161302138      1
#> 1144         1        2        2       1 3.5343500 1.000022058      2
#> 1145         1        2        1       0 1.1742544 0.635276120      1
#> 1146         1        2        1       0 1.7439890 1.356005323      2
#> 1147         1        2        2       1 1.1479746 1.426359307      2
#> 1148         1        2        2       1 1.2574474 0.670962875      1
#> 1149         1        2        1       0 2.0593333 0.355170517      1
#> 1150         1        2        1       0 2.1523102 0.211453110      1
#> 1151         1        2        2       1 1.7204146 0.900595717      2
#> 1152         1        2        2       1 2.3397031 0.574463669      1
#> 1153         1        2        2       1 1.7318570 0.272953997      1
#> 1154         1        2        2       1 2.4222587 0.223398684      1
#> 1155         1        2        1       0 1.8787793 0.232342907      1
#> 1156         1        2        1       0 1.1064666 0.198106589      1
#> 1157         1        2        1       0 3.3806394 0.695091598      1
#> 1158         1        2        2       1 0.8522710 1.136006274      2
#> 1159         1        2        1       0 1.7271821 0.321912023      1
#> 1160         1        2        2       1 2.0624235 0.527893323      1
#> 1161         1        2        2       1 2.8707062 0.301345987      1
#> 1162         1        2        2       1 1.9530200 0.012346320      1
#> 1163         1        2        2       1 0.9548005 1.068466990      2
#> 1164         1        2        1       0 1.8845673 0.220513807      1
#> 1165         1        2        2       1 1.2301803 0.517915674      1
#> 1166         1        2        1       0 3.8741692 0.104981793      1
#> 1167         1        2        2       1 1.2122537 1.037207326      2
#> 1168         1        2        2       1 1.4522231 1.342121712      2
#> 1169         1        2        2       1 1.1401644 0.255758595      1
#> 1170         1        2        2       1 2.1304111 0.687598358      1
#> 1171         1        2        1       0 1.4183555 0.469025430      1
#> 1172         1        2        1       0 2.0466258 0.601058457      1
#> 1173         1        2        2       1 1.5794164 1.487634565      2
#> 1174         1        2        2       1 1.4286615 2.070232436      3
#> 1175         1        2        2       1 1.7380511 0.507842933      1
#> 1176         1        2        2       1 0.9187709 1.956812845      3
#> 1177         1        2        1       0 1.6841206 0.221361056      1
#> 1178         1        2        2       1 1.0887840 0.888821576      2
#> 1179         1        2        2       1 0.5568769 1.407521415      2
#> 1180         1        2        2       1 0.9753013 2.080981952      3
#> 1181         1        2        2       1 1.7147446 1.008608403      2
#> 1182         1        2        2       1 1.7613859 0.847042753      2
#> 1183         1        2        2       1 2.2685190 0.645002631      1
#> 1184         1        2        1       0 2.1839033 0.304476402      1
#> 1185         1        2        2       1 1.1434860 0.708349060      1
#> 1186         1        2        1       0 1.1996739 0.184541373      1
#> 1187         1        2        2       1 1.9588902 0.574927169      1
#> 1188         1        2        2       1 2.0967354 0.584798455      1
#> 1189         1        2        2       1 1.8019210 0.399688832      1
#> 1190         1        2        2       1 1.3439740 2.042194881      3
#> 1191         1        2        1       0 2.8744843 0.171166638      1
#> 1192         1        2        2       1 1.2481278 2.103208878      3
#> 1193         1        2        2       1 1.3131074 0.488172604      1
#> 1194         1        2        2       1 1.4196125 1.578617886      3
#> 1195         1        2        2       1 1.8638448 1.345404058      2
#> 1196         1        2        2       1 1.5040342 1.041353546      2
#> 1197         1        2        2       1 1.0200190 0.711267271      1
#> 1198         1        2        2       1 1.2012271 1.117799815      2
#> 1199         1        2        2       1 1.4810110 1.103998996      2
#> 1200         1        2        1       0 2.0490443 0.621633732      1
#> 1201         2        2        2       1 1.5407694 1.867773945      3
#> 1202         2        2        2       1 0.9122458 0.059769293      1
#> 1203         2        2        2       1 1.4933011 0.758862280      1
#> 1204         2        2        2       1 2.2489639 0.578706035      1
#> 1205         2        2        2       1 1.1419981 0.894887242      2
#> 1206         2        2        2       1 0.4109645 2.765456612      3
#> 1207         2        2        2       1 1.4360659 0.813078070      2
#> 1208         2        2        2       1 0.4771519 1.186545659      2
#> 1209         2        2        2       1 4.1900993 0.706295233      1
#> 1210         2        2        2       1 1.2217053 0.938368768      2
#> 1211         2        2        2       1 1.0564766 0.354414315      1
#> 1212         2        2        2       1 0.9844838 0.750390662      1
#> 1213         2        2        2       1 0.9502039 0.754884013      1
#> 1214         2        2        2       1 1.6813775 2.198804798      3
#> 1215         2        2        1       0 1.0554193 0.900492739      2
#> 1216         2        2        2       1 1.5917700 0.268546629      1
#> 1217         2        2        2       1 0.7990984 1.102121948      2
#> 1218         2        2        2       1 1.6953306 0.177165246      1
#> 1219         2        2        2       1 1.0566833 1.912905344      3
#> 1220         2        2        2       1 1.5654982 2.119373338      3
#> 1221         2        2        2       1 0.6246846 1.578129995      3
#> 1222         2        2        2       1 1.0443913 0.469541004      1
#> 1223         2        2        2       1 0.9552158 0.361947146      1
#> 1224         2        2        2       1 1.1875197 1.495225365      2
#> 1225         2        2        1       0 1.5191134 0.162285259      1
#> 1226         2        2        2       1 1.0956792 1.756399955      3
#> 1227         2        2        2       1 0.9312215 0.488445254      1
#> 1228         2        2        2       1 0.8492647 1.709010415      3
#> 1229         2        2        2       1 0.8963086 2.181380113      3
#> 1230         2        2        2       1 1.1503486 0.892628785      2
#> 1231         2        2        1       0 0.9561868 0.134954863      1
#> 1232         2        2        2       1 1.0403824 1.319522675      2
#> 1233         2        2        2       1 0.5654030 1.673319182      3
#> 1234         2        2        2       1 0.6644822 2.037802099      3
#> 1235         2        2        2       1 1.6910219 0.435508010      1
#> 1236         2        2        2       1 0.8356036 0.533472323      1
#> 1237         2        2        1       0 0.9577200 0.290193628      1
#> 1238         2        2        2       1 1.7634260 2.026112984      3
#> 1239         2        2        2       1 0.5263530 1.849135077      3
#> 1240         2        2        2       1 1.5191729 0.060821046      1
#> 1241         2        2        2       1 2.5992788 0.274621996      1
#> 1242         2        2        2       1 1.0919198 1.233601476      2
#> 1243         2        2        2       1 3.4263245 1.208107980      2
#> 1244         2        2        2       1 1.9715511 0.809368267      2
#> 1245         2        2        2       1 0.9137668 1.664879766      3
#> 1246         2        2        2       1 0.5001608 1.687008640      3
#> 1247         2        2        2       1 1.1238776 0.914793756      2
#> 1248         2        2        2       1 2.0251594 0.047151826      1
#> 1249         2        2        1       0 0.9485837 0.598016891      1
#> 1250         2        2        2       1 1.0603849 1.086380056      2
#> 1251         2        2        2       1 0.9414158 1.433388487      2
#> 1252         2        2        2       1 0.4747861 2.115675724      3
#> 1253         2        2        1       0 1.1727451 0.487902873      1
#> 1254         2        2        2       1 1.1459775 1.449144207      2
#> 1255         2        2        1       0 1.0445508 1.083582081      2
#> 1256         2        2        2       1 1.0270459 1.039571177      2
#> 1257         2        2        2       1 1.0681306 0.962388254      2
#> 1258         2        2        2       1 0.8775385 0.610608003      1
#> 1259         2        2        2       1 1.0028297 0.474087481      1
#> 1260         2        2        1       0 1.6072138 0.271011441      1
#> 1261         2        2        2       1 1.3112267 0.806212554      2
#> 1262         2        2        2       1 1.2287900 0.364158368      1
#> 1263         2        2        2       1 3.7036472 0.331824716      1
#> 1264         2        2        2       1 0.6968101 1.287019689      2
#> 1265         2        2        2       1 0.2344825 2.387954949      3
#> 1266         2        2        2       1 0.6811915 0.727997699      1
#> 1267         2        2        2       1 3.1429712 1.040437505      2
#> 1268         2        2        2       1 2.5827947 0.108013657      1
#> 1269         2        2        2       1 1.5005745 1.368506249      2
#> 1270         2        2        2       1 0.9364180 1.109792506      2
#> 1271         2        2        1       0 1.5907614 0.533968019      1
#> 1272         2        2        2       1 1.4050522 0.802111030      2
#> 1273         2        2        2       1 0.6284336 1.367179536      2
#> 1274         2        2        2       1 1.3590482 0.962465007      2
#> 1275         2        2        2       1 1.9694922 1.408350555      2
#> 1276         2        2        2       1 0.7867616 1.254057082      2
#> 1277         2        2        2       1 0.6928114 2.180190593      3
#> 1278         2        2        1       0 1.5767259 0.055914433      1
#> 1279         2        2        2       1 0.9144969 0.686286306      1
#> 1280         2        2        2       1 1.5373927 1.280764684      2
#> 1281         2        2        2       1 1.1177322 1.746003840      3
#> 1282         2        2        2       1 0.9273605 0.464445628      1
#> 1283         2        2        2       1 1.5650592 0.575341666      1
#> 1284         2        2        2       1 0.9825248 1.731514692      3
#> 1285         2        2        2       1 1.3705259 1.844578797      3
#> 1286         2        2        1       0 1.2034801 0.013738339      1
#> 1287         2        2        2       1 1.0855469 2.253820247      3
#> 1288         2        2        1       0 2.6090578 0.100245321      1
#> 1289         2        2        2       1 0.9666828 1.238560861      2
#> 1290         2        2        2       1 1.6286542 0.138291257      1
#> 1291         2        2        2       1 1.3417136 0.058899364      1
#> 1292         2        2        2       1 2.0594718 1.138340991      2
#> 1293         2        2        1       0 1.2921124 0.777005686      1
#> 1294         2        2        2       1 0.9264908 0.732097341      1
#> 1295         2        2        2       1 0.6219038 2.272187917      3
#> 1296         2        2        2       1 2.0901287 0.708702183      1
#> 1297         2        2        2       1 1.9207722 0.975098642      2
#> 1298         2        2        2       1 0.5125286 0.866023456      2
#> 1299         2        2        2       1 0.6378568 1.214304567      2
#> 1300         2        2        2       1 1.5128445 2.167163491      3
#> 1301         2        2        2       1 2.0841041 1.231456300      2
#> 1302         2        2        2       1 2.8267520 0.649977377      1
#> 1303         2        2        2       1 0.4854706 1.005804814      2
#> 1304         2        2        2       1 1.2033531 0.453716691      1
#> 1305         2        2        2       1 0.7068857 0.944793324      2
#> 1306         2        2        2       1 1.0424358 1.259013767      2
#> 1307         2        2        2       1 0.7553870 1.389239394      2
#> 1308         2        2        1       0 0.8556087 0.608361003      1
#> 1309         2        2        1       0 1.6349517 0.433949698      1
#> 1310         2        2        2       1 0.4093879 1.240419950      2
#> 1311         2        2        2       1 1.4988376 0.897492278      2
#> 1312         2        2        2       1 2.5786993 0.566923915      1
#> 1313         2        2        2       1 2.5002017 0.190274371      1
#> 1314         2        2        2       1 1.0693734 1.249711601      2
#> 1315         2        2        2       1 0.4341473 0.871747609      2
#> 1316         2        2        2       1 0.8060946 1.571854730      3
#> 1317         2        2        2       1 1.2572339 1.377940398      2
#> 1318         2        2        2       1 1.8253184 0.454544700      1
#> 1319         2        2        2       1 3.1083182 0.242773652      1
#> 1320         2        2        2       1 1.9697155 0.990773491      2
#> 1321         2        2        2       1 0.9290765 0.718253883      1
#> 1322         2        2        2       1 1.5143558 1.251489678      2
#> 1323         2        2        2       1 1.7310485 0.127507392      1
#> 1324         2        2        2       1 1.7382965 0.949276740      2
#> 1325         2        2        2       1 0.5225136 0.796035708      1
#> 1326         2        2        2       1 0.9249942 1.888460473      3
#> 1327         2        2        2       1 1.2094034 1.966751333      3
#> 1328         2        2        2       1 1.7212862 0.786777528      1
#> 1329         2        2        2       1 1.7744511 0.361915687      1
#> 1330         2        2        2       1 0.9258677 0.839340936      2
#> 1331         2        2        2       1 3.9392834 0.085478782      1
#> 1332         2        2        2       1 0.4723709 1.986571410      3
#> 1333         2        2        2       1 0.4355133 1.804573270      3
#> 1334         2        2        2       1 0.9018702 0.995451381      2
#> 1335         2        2        2       1 2.0136258 0.392034219      1
#> 1336         2        2        2       1 1.6151481 1.117806692      2
#> 1337         2        2        2       1 0.6727086 1.733340734      3
#> 1338         2        2        2       1 0.5546032 1.663877012      3
#> 1339         2        2        2       1 2.0557582 0.796439521      1
#> 1340         2        2        2       1 1.1604624 2.013278480      3
#> 1341         2        2        2       1 2.0278102 0.013015600      1
#> 1342         2        2        2       1 2.6329506 0.088294277      1
#> 1343         2        2        2       1 0.2981672 2.954120927      3
#> 1344         2        2        2       1 0.2598851 2.977458916      3
#> 1345         2        2        2       1 0.7155475 1.334775545      2
#> 1346         2        2        2       1 0.6784084 1.501244112      3
#> 1347         2        2        2       1 1.5331133 0.889248624      2
#> 1348         2        2        2       1 0.9025265 0.974009626      2
#> 1349         2        2        2       1 0.4950903 2.170413965      3
#> 1350         2        2        1       0 0.6905520 0.904016899      2
#> 1351         2        2        2       1 0.5861168 1.322863322      2
#> 1352         2        2        1       0 2.2693450 0.223919756      1
#> 1353         2        2        2       1 0.8548571 1.604011365      3
#> 1354         2        2        2       1 0.6965965 0.397034981      1
#> 1355         2        2        2       1 1.0674090 1.527005084      3
#> 1356         2        2        2       1 1.6109259 1.070578849      2
#> 1357         2        2        2       1 0.8364388 0.997433425      2
#> 1358         2        2        2       1 1.4031549 0.752483643      1
#> 1359         2        2        2       1 2.1812353 0.735680313      1
#> 1360         2        2        2       1 1.4090230 0.454958080      1
#> 1361         2        2        2       1 1.0359870 1.426047969      2
#> 1362         2        2        2       1 0.7916975 0.456164448      1
#> 1363         2        2        2       1 1.8383196 1.290520019      2
#> 1364         2        2        1       0 0.9705320 0.707892666      1
#> 1365         2        2        2       1 0.7849516 2.543499704      3
#> 1366         2        2        2       1 0.5260208 2.208460716      3
#> 1367         2        2        2       1 1.1099239 0.139456080      1
#> 1368         2        2        2       1 1.3945405 1.250057248      2
#> 1369         2        2        2       1 0.7580113 1.348284570      2
#> 1370         2        2        2       1 0.9745196 2.175618863      3
#> 1371         2        2        2       1 0.8373643 1.343234759      2
#> 1372         2        2        2       1 0.6743273 2.015772430      3
#> 1373         2        2        2       1 1.1236956 1.843252715      3
#> 1374         2        2        2       1 0.5668679 2.267788730      3
#> 1375         2        2        2       1 0.9146259 1.035901534      2
#> 1376         2        2        2       1 1.1077734 1.293597312      2
#> 1377         2        2        2       1 1.8124238 0.577377996      1
#> 1378         2        2        1       0 1.9761027 0.042563413      1
#> 1379         2        2        2       1 1.0848557 0.663917778      1
#> 1380         2        2        2       1 1.1865023 1.520823265      3
#> 1381         2        2        2       1 1.0551769 0.944164837      2
#> 1382         2        2        2       1 1.2640626 0.664826857      1
#> 1383         2        2        2       1 1.7024930 0.178817856      1
#> 1384         2        2        1       0 1.2554292 0.284866194      1
#> 1385         2        2        2       1 0.5667503 1.058339713      2
#> 1386         2        2        2       1 0.9598261 1.201030451      2
#> 1387         2        2        1       0 1.2092169 0.138179462      1
#> 1388         2        2        2       1 1.2220462 0.026907839      1
#> 1389         2        2        1       0 3.0734482 0.088618471      1
#> 1390         2        2        2       1 0.9953173 0.711311177      1
#> 1391         2        2        1       0 0.8164151 0.630600532      1
#> 1392         2        2        2       1 0.8486276 1.311773559      2
#> 1393         2        2        2       1 0.6455847 0.863680161      2
#> 1394         2        2        2       1 1.0598629 1.436124577      2
#> 1395         2        2        2       1 0.7991684 0.786605616      1
#> 1396         2        2        2       1 2.3790551 0.504054174      1
#> 1397         2        2        2       1 0.7428784 1.631477884      3
#> 1398         2        2        2       1 2.1436883 0.575181895      1
#> 1399         2        2        1       0 1.2491117 0.059791282      1
#> 1400         2        2        2       1 1.6372921 1.317526280      2
#> 1401         2        2        1       0 1.1198936 0.036601009      1
#> 1402         2        2        2       1 1.1828789 1.224959600      2
#> 1403         2        2        2       1 0.6215176 2.012452702      3
#> 1404         2        2        2       1 1.1850514 1.126564280      2
#> 1405         2        2        2       1 1.2492293 1.408563732      2
#> 1406         2        2        1       0 2.1588015 0.033148644      1
#> 1407         2        2        2       1 0.9273279 1.200309468      2
#> 1408         2        2        2       1 2.2286670 0.763809996      1
#> 1409         2        2        2       1 1.0303834 1.326251403      2
#> 1410         2        2        2       1 0.4312988 0.960675322      2
#> 1411         2        2        2       1 2.2159755 0.174054887      1
#> 1412         2        2        2       1 0.8509040 0.471858857      1
#> 1413         2        2        2       1 0.9778978 0.009170492      1
#> 1414         2        2        2       1 1.4277563 0.752981928      1
#> 1415         2        2        2       1 0.9832787 0.476385542      1
#> 1416         2        2        2       1 1.4630860 0.511870489      1
#> 1417         2        2        2       1 0.5021783 1.225211292      2
#> 1418         2        2        2       1 0.9756477 0.577929900      1
#> 1419         2        2        2       1 1.6997104 1.615532768      3
#> 1420         2        2        2       1 1.6411521 1.375673627      2
#> 1421         2        2        2       1 0.9074423 1.417310043      2
#> 1422         2        2        2       1 0.6397393 1.140699924      2
#> 1423         2        2        2       1 0.5705526 1.668904373      3
#> 1424         2        2        2       1 0.6744835 2.401379745      3
#> 1425         2        2        2       1 0.8414842 1.683291339      3
#> 1426         2        2        2       1 1.2996808 1.035979274      2
#> 1427         2        2        2       1 1.3370358 0.712368392      1
#> 1428         2        2        2       1 1.4123806 0.179269512      1
#> 1429         2        2        2       1 1.7767821 0.621624087      1
#> 1430         2        2        2       1 2.4009749 0.562320967      1
#> 1431         2        2        2       1 2.1692105 0.963108328      2
#> 1432         2        2        2       1 1.4374039 1.255246895      2
#> 1433         2        2        2       1 1.4666259 1.342235689      2
#> 1434         2        2        2       1 0.9768748 1.291854971      2
#> 1435         2        2        2       1 1.3175667 1.270023985      2
#> 1436         2        2        2       1 1.0982063 0.554825543      1
#> 1437         2        2        2       1 0.8225647 1.461242774      2
#> 1438         2        2        2       1 0.5947128 0.854100113      2
#> 1439         2        2        2       1 0.6746344 1.671697555      3
#> 1440         2        2        2       1 2.0417946 0.498549352      1
#> 1441         2        2        2       1 2.0085404 0.138521046      1
#> 1442         2        2        2       1 1.1476950 0.359954792      1
#> 1443         2        2        2       1 3.3256166 0.807032304      2
#> 1444         2        2        2       1 1.1490376 0.829437980      2
#> 1445         2        2        1       0 2.4653628 0.236257638      1
#> 1446         2        2        2       1 3.0118100 0.549922553      1
#> 1447         2        2        2       1 0.8627590 1.241357567      2
#> 1448         2        2        2       1 1.1119037 1.280961762      2
#> 1449         2        2        2       1 1.5465912 0.292595032      1
#> 1450         2        2        2       1 1.2184133 0.435034562      1
#> 1451         2        2        2       1 1.9059828 0.169480363      1
#> 1452         2        2        2       1 0.8033485 1.219107989      2
#> 1453         2        2        2       1 0.8855539 1.023219097      2
#> 1454         2        2        2       1 1.2451846 1.133424770      2
#> 1455         2        2        2       1 0.5903273 0.572017071      1
#> 1456         2        2        2       1 0.9878066 0.953292171      2
#> 1457         2        2        2       1 2.7139239 2.157053698      3
#> 1458         2        2        2       1 0.9867650 1.939941921      3
#> 1459         2        2        2       1 1.1443012 0.206764335      1
#> 1460         2        2        2       1 2.1323368 1.114645130      2
#> 1461         2        2        2       1 3.9401819 0.066669640      1
#> 1462         2        2        2       1 1.6561621 0.360195188      1
#> 1463         2        2        2       1 1.0084764 1.222679085      2
#> 1464         2        2        2       1 3.4052132 0.454409767      1
#> 1465         2        2        2       1 0.9304525 1.179992344      2
#> 1466         2        2        2       1 1.4456590 0.704983207      1
#> 1467         2        2        2       1 1.2503613 0.585230174      1
#> 1468         2        2        2       1 3.0215601 0.543432729      1
#> 1469         2        2        2       1 0.9813309 1.918473245      3
#> 1470         2        2        2       1 1.4855144 1.268179743      2
#> 1471         2        2        2       1 1.3660062 0.670750207      1
#> 1472         2        2        2       1 1.3308052 2.119809409      3
#> 1473         2        2        2       1 0.6650182 2.180585046      3
#> 1474         2        2        2       1 1.4513580 0.737722456      1
#> 1475         2        2        2       1 1.0255852 0.831018274      2
#> 1476         2        2        1       0 1.9463199 0.756132267      1
#> 1477         2        2        2       1 1.0556340 0.631274567      1
#> 1478         2        2        2       1 3.0351024 0.381093855      1
#> 1479         2        2        2       1 1.3941417 1.310018054      2
#> 1480         2        2        2       1 1.4535525 0.493817639      1
#> 1481         2        2        1       0 2.0950484 0.025231599      1
#> 1482         2        2        2       1 0.3961469 2.144482106      3
#> 1483         2        2        2       1 2.0928731 0.354691496      1
#> 1484         2        2        2       1 1.1587222 1.322012401      2
#> 1485         2        2        2       1 0.5798525 1.884141238      3
#> 1486         2        2        2       1 0.7249072 0.160513707      1
#> 1487         2        2        2       1 0.5164294 1.673943620      3
#> 1488         2        2        2       1 0.4936816 0.705679441      1
#> 1489         2        2        2       1 0.9319793 1.309829354      2
#> 1490         2        2        2       1 0.4405136 1.868311954      3
#> 1491         2        2        2       1 1.9000568 0.381913089      1
#> 1492         2        2        2       1 1.5992010 0.096701846      1
#> 1493         2        2        2       1 1.5169975 1.032420823      2
#> 1494         2        2        2       1 1.2491018 0.192974630      1
#> 1495         2        2        2       1 1.0610121 2.007549527      3
#> 1496         2        2        2       1 2.1206875 0.093009720      1
#> 1497         2        2        2       1 1.0470291 0.138646560      1
#> 1498         2        2        2       1 1.1880676 0.487920355      1
#> 1499         2        2        2       1 1.2422822 1.406641941      2
#> 1500         2        2        2       1 2.2144462 0.098693343      1
#> 1501         2        2        2       1 0.5468544 1.288241043      2
#> 1502         2        2        2       1 1.1629353 1.250440793      2
#> 1503         2        2        2       1 1.1555991 1.171402853      2
#> 1504         2        2        2       1 1.5590353 1.522201218      3
#> 1505         2        2        1       0 0.9877918 0.648677955      1
#> 1506         2        2        2       1 0.8356396 1.382229324      2
#> 1507         2        2        2       1 1.0897281 1.511506098      3
#> 1508         2        2        2       1 2.1728326 0.099470311      1
#> 1509         2        2        2       1 0.9184940 1.024589042      2
#> 1510         2        2        2       1 1.6564396 1.335458033      2
#> 1511         2        2        2       1 0.3846524 2.493043859      3
#> 1512         2        2        2       1 0.6573576 0.701629615      1
#> 1513         2        2        2       1 0.7785829 0.757003805      1
#> 1514         2        2        1       0 1.8957300 0.128580606      1
#> 1515         2        2        2       1 1.1431442 0.633363213      1
#> 1516         2        2        2       1 1.0806708 1.367633517      2
#> 1517         2        2        2       1 0.7051279 1.169743977      2
#> 1518         2        2        2       1 0.3700721 1.892879020      3
#> 1519         2        2        1       0 2.1154649 0.095914678      1
#> 1520         2        2        2       1 0.4624508 2.146294276      3
#> 1521         2        2        2       1 0.7670675 0.958952888      2
#> 1522         2        2        2       1 1.3865250 0.076451487      1
#> 1523         2        2        2       1 1.1317525 0.787539442      1
#> 1524         2        2        2       1 1.3695569 0.325542881      1
#> 1525         2        2        2       1 0.5542667 2.135564258      3
#> 1526         2        2        2       1 0.8321610 1.084536930      2
#> 1527         2        2        2       1 0.7324282 0.892170342      2
#> 1528         2        2        2       1 1.5510048 0.829575033      2
#> 1529         2        2        2       1 0.7407140 1.893737473      3
#> 1530         2        2        2       1 0.8845080 1.539848069      3
#> 1531         2        2        2       1 0.7600400 2.078396966      3
#> 1532         2        2        2       1 1.0643133 0.145364359      1
#> 1533         2        2        2       1 1.6430341 1.103537747      2
#> 1534         2        2        2       1 0.9605252 1.065649263      2
#> 1535         2        2        2       1 0.9517160 1.829901625      3
#> 1536         2        2        2       1 0.4951308 1.543764930      3
#> 1537         2        2        2       1 1.8020297 0.280521002      1
#> 1538         2        2        2       1 0.2784443 2.284657209      3
#> 1539         2        2        2       1 0.9206238 0.535367007      1
#> 1540         2        2        1       0 2.8172544 0.027699822      1
#> 1541         2        2        2       1 1.7851924 0.706176025      1
#> 1542         2        2        2       1 0.8681478 1.831929976      3
#> 1543         2        2        2       1 0.5848287 1.088579144      2
#> 1544         2        2        2       1 0.5493555 1.770053646      3
#> 1545         2        2        2       1 0.8662151 1.528081803      3
#> 1546         2        2        1       0 0.8403915 0.427547649      1
#> 1547         2        2        2       1 1.2122089 0.375269712      1
#> 1548         2        2        2       1 0.7766676 1.682812805      3
#> 1549         2        2        2       1 0.6903967 1.648019647      3
#> 1550         2        2        2       1 1.7992070 0.159355820      1
#> 1551         2        2        1       0 2.8845286 0.151042316      1
#> 1552         2        2        2       1 1.9937066 0.153597623      1
#> 1553         2        2        2       1 0.9183272 1.229425216      2
#> 1554         2        2        2       1 3.4965960 0.169409958      1
#> 1555         2        2        2       1 0.8556662 0.191804847      1
#> 1556         2        2        2       1 1.4909966 0.693341266      1
#> 1557         2        2        2       1 2.2411717 0.414742418      1
#> 1558         2        2        1       0 1.1435584 0.276890000      1
#> 1559         2        2        2       1 1.1988487 0.939537011      2
#> 1560         2        2        2       1 1.4415806 1.528826628      3
#> 1561         2        2        2       1 1.5918336 0.978984377      2
#> 1562         2        2        1       0 0.9975098 0.371596193      1
#> 1563         2        2        2       1 1.3543052 1.315271296      2
#> 1564         2        2        2       1 1.1961063 1.275747359      2
#> 1565         2        2        2       1 1.0617487 0.929515109      2
#> 1566         2        2        2       1 0.7147751 1.415242345      2
#> 1567         2        2        2       1 0.8224994 1.078088838      2
#> 1568         2        2        1       0 2.7364541 0.065698397      1
#> 1569         2        2        2       1 1.0666745 1.267484964      2
#> 1570         2        2        2       1 0.6145044 1.309597485      2
#> 1571         2        2        2       1 2.1058537 0.295497429      1
#> 1572         2        2        1       0 1.1028987 0.459232909      1
#> 1573         2        2        2       1 1.4734714 0.260183085      1
#> 1574         2        2        2       1 0.4462628 2.559522826      3
#> 1575         2        2        2       1 1.0519157 0.958695478      2
#> 1576         2        2        2       1 1.4452415 1.571668422      3
#> 1577         2        2        2       1 0.6822231 2.273242354      3
#> 1578         2        2        2       1 1.1347972 1.703503591      3
#> 1579         2        2        2       1 0.8368275 1.501506004      3
#> 1580         2        2        2       1 0.9705969 0.338455898      1
#> 1581         2        2        2       1 0.7280916 1.568105001      3
#> 1582         2        2        2       1 1.6050891 1.638890083      3
#> 1583         2        2        1       0 2.0625564 0.158767476      1
#> 1584         2        2        2       1 1.2129494 1.273983570      2
#> 1585         2        2        2       1 0.6610786 1.794099360      3
#> 1586         2        2        2       1 0.9688854 1.132050081      2
#> 1587         2        2        2       1 0.9787426 1.375471928      2
#> 1588         2        2        1       0 1.2295498 0.031763271      1
#> 1589         2        2        2       1 1.2718606 0.712034092      1
#> 1590         2        2        2       1 3.3548339 0.493004461      1
#> 1591         2        2        2       1 0.9107187 1.005140692      2
#> 1592         2        2        2       1 1.7115029 1.138122069      2
#> 1593         2        2        2       1 1.4220749 0.010171556      1
#> 1594         2        2        2       1 0.9169832 0.188290038      1
#> 1595         2        2        2       1 2.2939990 0.950875060      2
#> 1596         2        2        2       1 0.7321394 1.390406808      2
#> 1597         2        2        2       1 0.5673429 2.613542186      3
#> 1598         2        2        2       1 2.0615477 0.546916347      1
#> 1599         2        2        2       1 0.7310270 2.774984674      3
#> 1600         2        2        2       1 1.5156109 1.739880292      3
#> 
#> $gamma
#> $gamma$condition
#> # A tibble: 2 × 2
#>   correct  Gamma
#>     <dbl>  <dbl>
#> 1       0 -0.181
#> 2       1  0.352
#> 
#> $gamma$rt
#> # A tibble: 2 × 2
#>   correct  Gamma
#>     <dbl>  <dbl>
#> 1       0 -0.590
#> 2       1 -0.514
#> 
#> $gamma$correct
#> # A tibble: 2 × 2
#>   condition Gamma
#>       <int> <dbl>
#> 1         1 0.765
#> 2         2 0.925
#> 
#> $gamma$rt_bycondition
#> # A tibble: 2 × 2
#>   condition  Gamma
#>       <int>  <dbl>
#> 1         1 -0.510
#> 2         2 -0.495
#> 
#> $gamma$rt_byconditionbycorrect
#> # A tibble: 4 × 3
#>   condition correct  Gamma
#>       <int>   <dbl>  <dbl>
#> 1         1       0 -0.597
#> 2         1       1 -0.498
#> 3         2       0 -0.689
#> 4         2       1 -0.476
#> 
#> 
# }

# Example with asymmetric confidence thresholds
paramDf_asym <- data.frame(v1=0.5, v2=1.0, t0=0.1, st0=0,
                          mu_d1=1, mu_d2=1,
                          s_v1=0.5, s_v2=0.5,
                          s_d1=0.3, s_d2=0.3,
                          rho_v=0.2, rho_d=0.1,
                          thetaLower1=0.5, thetaLower2=1.2,
                          thetaUpper1=0.7, thetaUpper2=1.8)

simus_asym <- simulateMTLNR(paramDf_asym, n = 1000)
head(simus_asym)
#>   condition stimulus response correct        rt      conf rating
#> 1         1        1        1       1 0.4890240 1.9085175      3
#> 2         1        1        1       1 1.2182956 0.3568843      1
#> 3         1        1        1       1 1.2706303 0.5082417      2
#> 4         1        1        1       1 2.2400895 0.3336495      1
#> 5         1        1        1       1 1.1323409 1.4526563      3
#> 6         1        1        1       1 0.8058802 0.8760613      2

# Example with multiple conditions
paramDf_multi <- data.frame(v1=0.3, v2=0.6, v3=1.2, t0=0.1, st0=0,
                           mu_d1=1, mu_d2=1,
                           s_v1=0.5, s_v2=0.5,
                           s_d1=0.3, s_d2=0.3,
                           rho_v=0.2, rho_d=0.1,
                           theta1=0.8, theta2=1.5)

simus_multi <- simulateMTLNR(paramDf_multi, n = 1000)
table(simus_multi$condition, simus_multi$correct)
#>    
#>        0    1
#>   1  687 1313
#>   2  408 1592
#>   3  114 1886