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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 data frame with one row. Column names should match the following names (see dMTLNR): For different stimulus quality/mean drift rates, names should be v1, v2, v3,.... (corresponding to the mean parameter for the accumulation rate for the stimulus-corresponding accumulator, therefore mu_v1 and mu_v2 are not used in this context but replaced by the parameter v); mu_d1 and mu_d2 correspond to the mean parameters for boundary distance of the two accumulators; s1 and s2 correspond to the variance parameters of the first and second boundary hitting time; rho corresponds to the correlation of boundary hitting times. Note that s_v1,s_v2,rho_v,s_d1,s_d2, and rho_d are not used in this context, although the accumulation rate-related parameters can be used to replace the above-mentioned variance parameters. Additionally, the confidence thresholds should be given by names with thetaUpper1, thetaUpper2,..., thetaLower1,... or, for symmetric thresholds only by theta1, theta2,.... (see Details for the correspondence to the data)

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,
                      s1=0.5, s2=0.5, rho=0.2,
                      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 1.687185 0.2124857      1
#> 2         1        1        1       1 2.296011 0.2804984      1
#> 3         1        1        1       1 0.906513 0.5317095      1
#> 4         1        1        2       0 1.731989 0.5154095      1
#> 5         1        1        1       1 2.239842 0.9710568      2
#> 6         1        1        1       1 2.045295 0.5622597      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, na.rm=TRUE) + xlim(c(0, 5)) +
    facet_grid(rows = vars(condition), labeller = "label_both")
#> Warning: Groups with fewer than two data points have been dropped.

# }

# 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 0.189  
#> 2      1       0         2 0.0564 
#> 3      1       1         1 0.472  
#> 4      1       1         2 0.316  
#> 5      2       0         1 0.0190 
#> 6      2       0         2 0.00245
# \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 4.0702190 0.102730338      1
#> 2            1        1        1       1 0.9999850 0.909667186      2
#> 3            1        1        1       1 0.4303316 2.225510259      3
#> 4            1        1        1       1 2.2057150 0.596610875      1
#> 5            1        1        2       0 1.2722365 0.143638106      1
#> 6            1        1        1       1 0.9217556 1.924474169      3
#> 7            1        1        1       1 0.9432780 1.844942483      3
#> 8            1        1        1       1 1.4706448 0.301784678      1
#> 9            1        1        1       1 2.2066922 0.344062438      1
#> 10           1        1        1       1 0.7103493 1.000077655      2
#> 11           1        1        1       1 2.3841616 0.292368835      1
#> 12           1        1        1       1 1.6902937 1.168514424      2
#> 13           1        1        1       1 1.7118866 0.058601415      1
#> 14           1        1        1       1 2.5374932 0.927062831      2
#> 15           1        1        1       1 1.0615851 1.054763997      2
#> 16           1        1        1       1 2.5884084 0.206772153      1
#> 17           1        1        1       1 1.1303802 0.054953046      1
#> 18           1        1        1       1 0.8392644 1.116777503      2
#> 19           1        1        1       1 1.9346456 0.565402863      1
#> 20           1        1        1       1 1.9398483 1.119759539      2
#> 21           1        1        1       1 1.1634079 0.760425458      1
#> 22           1        1        1       1 4.2092342 0.022454973      1
#> 23           1        1        2       0 1.0830676 0.728877779      1
#> 24           1        1        2       0 2.5987671 0.291918176      1
#> 25           1        1        2       0 1.4213595 0.186014262      1
#> 26           1        1        1       1 1.5645056 0.914455143      2
#> 27           1        1        2       0 2.3662526 0.131329849      1
#> 28           1        1        1       1 0.9237143 1.688551879      3
#> 29           1        1        1       1 0.8770257 1.758319899      3
#> 30           1        1        1       1 2.2225760 0.112554646      1
#> 31           1        1        1       1 1.5141777 0.368686764      1
#> 32           1        1        1       1 2.2908659 0.874745755      2
#> 33           1        1        1       1 1.8109926 0.536008749      1
#> 34           1        1        1       1 2.5266926 0.235282028      1
#> 35           1        1        1       1 0.8502631 1.651464998      3
#> 36           1        1        1       1 3.3443430 0.666528062      1
#> 37           1        1        1       1 1.8022604 0.912268978      2
#> 38           1        1        2       0 1.1290491 0.283897902      1
#> 39           1        1        1       1 1.0971010 1.305478813      2
#> 40           1        1        1       1 1.1186545 1.302869893      2
#> 41           1        1        1       1 1.3768126 1.190654919      2
#> 42           1        1        1       1 0.9535631 2.035386758      3
#> 43           1        1        1       1 2.1340249 0.776966293      1
#> 44           1        1        1       1 1.9595850 0.585684133      1
#> 45           1        1        1       1 3.7578757 0.793954898      1
#> 46           1        1        2       0 2.4747248 0.521618137      1
#> 47           1        1        1       1 2.4917826 0.557120482      1
#> 48           1        1        1       1 0.9705216 0.348272274      1
#> 49           1        1        1       1 2.0232314 0.913494111      2
#> 50           1        1        1       1 0.9619829 0.597119159      1
#> 51           1        1        2       0 0.9624853 0.599725498      1
#> 52           1        1        1       1 1.0938060 1.438862364      2
#> 53           1        1        2       0 1.6063018 0.526123426      1
#> 54           1        1        1       1 1.1822137 1.200542490      2
#> 55           1        1        1       1 1.4585904 0.729818650      1
#> 56           1        1        1       1 1.5512210 0.861372417      2
#> 57           1        1        1       1 1.3528333 1.098462274      2
#> 58           1        1        1       1 2.0049429 0.665554015      1
#> 59           1        1        2       0 3.5524099 0.031424684      1
#> 60           1        1        1       1 1.7858516 0.814786593      2
#> 61           1        1        1       1 2.6910669 0.027768327      1
#> 62           1        1        1       1 1.0648627 0.079881631      1
#> 63           1        1        1       1 1.2340532 0.234301016      1
#> 64           1        1        1       1 1.4508947 1.022826443      2
#> 65           1        1        1       1 2.2171391 0.509678562      1
#> 66           1        1        1       1 1.2027175 1.403094730      2
#> 67           1        1        2       0 3.3904034 0.339623509      1
#> 68           1        1        1       1 3.8809003 0.632933798      1
#> 69           1        1        2       0 1.9708845 0.844269127      2
#> 70           1        1        1       1 1.2598070 0.737611387      1
#> 71           1        1        1       1 3.2171727 0.874818390      2
#> 72           1        1        1       1 1.5981144 0.212459672      1
#> 73           1        1        1       1 1.8454376 0.072404009      1
#> 74           1        1        1       1 1.5488353 0.473210113      1
#> 75           1        1        1       1 2.9137726 1.301531883      2
#> 76           1        1        1       1 1.7320469 0.346620458      1
#> 77           1        1        1       1 0.8356941 1.238599364      2
#> 78           1        1        1       1 3.4014711 0.522743493      1
#> 79           1        1        1       1 3.1230071 1.029963887      2
#> 80           1        1        1       1 2.4967381 1.062399305      2
#> 81           1        1        2       0 2.1556463 0.261737014      1
#> 82           1        1        1       1 0.9552014 1.843151054      3
#> 83           1        1        1       1 0.4350927 2.069182512      3
#> 84           1        1        1       1 1.2226853 0.294930156      1
#> 85           1        1        2       0 1.9592045 0.036257463      1
#> 86           1        1        1       1 1.5098899 0.751888905      1
#> 87           1        1        1       1 2.5243535 0.779201178      1
#> 88           1        1        1       1 1.1567924 0.684539573      1
#> 89           1        1        1       1 1.9615559 0.998323714      2
#> 90           1        1        2       0 3.0747948 0.369269375      1
#> 91           1        1        1       1 1.9929971 0.235397785      1
#> 92           1        1        1       1 1.2090029 1.580877951      3
#> 93           1        1        1       1 0.7565229 1.043509009      2
#> 94           1        1        1       1 0.8571134 0.718718070      1
#> 95           1        1        1       1 0.8817663 1.709282555      3
#> 96           1        1        1       1 1.7849370 0.250518721      1
#> 97           1        1        2       0 2.9374240 0.294911244      1
#> 98           1        1        2       0 2.7821378 0.147147724      1
#> 99           1        1        2       0 2.1001609 0.249505639      1
#> 100          1        1        1       1 1.4597924 0.788801669      1
#> 101          1        1        1       1 1.4060716 0.014414449      1
#> 102          1        1        1       1 2.6633363 0.728497970      1
#> 103          1        1        1       1 2.4946882 0.437249674      1
#> 104          1        1        1       1 4.9094588 0.684611094      1
#> 105          1        1        2       0 2.0835123 0.363370496      1
#> 106          1        1        1       1 1.2278401 1.278803482      2
#> 107          1        1        2       0 1.3660982 0.221778968      1
#> 108          1        1        1       1 3.1566996 0.052922156      1
#> 109          1        1        1       1 1.4366592 0.957828328      2
#> 110          1        1        1       1 1.8909742 0.885632551      2
#> 111          1        1        1       1 1.3828202 0.114291031      1
#> 112          1        1        1       1 1.1629635 0.390185517      1
#> 113          1        1        1       1 1.2965866 0.903606212      2
#> 114          1        1        1       1 1.6090985 0.458336768      1
#> 115          1        1        1       1 1.7986135 0.543041499      1
#> 116          1        1        1       1 1.6541933 0.939387887      2
#> 117          1        1        1       1 0.9102699 0.147812885      1
#> 118          1        1        1       1 1.2890707 0.446005953      1
#> 119          1        1        1       1 1.4389298 0.748291172      1
#> 120          1        1        1       1 0.9796267 1.729800603      3
#> 121          1        1        1       1 2.1946100 0.326135065      1
#> 122          1        1        1       1 1.3829322 0.833571126      2
#> 123          1        1        1       1 1.7011901 1.388995360      2
#> 124          1        1        2       0 1.4108346 0.183918228      1
#> 125          1        1        1       1 2.3327418 0.133164395      1
#> 126          1        1        2       0 1.7498453 0.414378395      1
#> 127          1        1        2       0 2.2614485 0.066693771      1
#> 128          1        1        2       0 2.5078626 0.582176708      1
#> 129          1        1        1       1 1.6257914 0.534772470      1
#> 130          1        1        2       0 0.8948342 1.093415823      2
#> 131          1        1        1       1 1.2446710 1.495369446      2
#> 132          1        1        2       0 1.7334320 0.164794930      1
#> 133          1        1        1       1 1.3796884 1.093742543      2
#> 134          1        1        2       0 2.3916231 0.482329758      1
#> 135          1        1        1       1 1.3539756 0.193773172      1
#> 136          1        1        2       0 1.5818568 0.172944126      1
#> 137          1        1        1       1 1.4918362 0.882864537      2
#> 138          1        1        1       1 1.1760530 0.577694756      1
#> 139          1        1        2       0 1.1011515 0.870590194      2
#> 140          1        1        2       0 1.0240947 0.410376998      1
#> 141          1        1        1       1 0.9570075 0.498779260      1
#> 142          1        1        2       0 2.8764014 0.106780092      1
#> 143          1        1        1       1 2.2031915 0.256546258      1
#> 144          1        1        2       0 3.2439197 0.251831776      1
#> 145          1        1        1       1 3.2184442 0.079401274      1
#> 146          1        1        1       1 1.3957334 1.199844820      2
#> 147          1        1        2       0 1.2511592 0.578450775      1
#> 148          1        1        1       1 1.4945549 1.362722002      2
#> 149          1        1        1       1 2.0510363 0.642476160      1
#> 150          1        1        1       1 1.0934565 0.702935923      1
#> 151          1        1        1       1 1.1165991 1.328174292      2
#> 152          1        1        1       1 1.4466870 1.306592560      2
#> 153          1        1        1       1 1.7922118 1.275847142      2
#> 154          1        1        2       0 2.1830776 0.551138132      1
#> 155          1        1        2       0 2.4029231 0.063301208      1
#> 156          1        1        1       1 2.4544807 0.450414003      1
#> 157          1        1        1       1 1.0974810 0.254245550      1
#> 158          1        1        2       0 2.0200949 0.066664349      1
#> 159          1        1        2       0 3.4398827 0.020005603      1
#> 160          1        1        2       0 3.6661957 0.152717492      1
#> 161          1        1        1       1 2.1914980 0.034560279      1
#> 162          1        1        1       1 1.3017302 0.242174857      1
#> 163          1        1        2       0 0.9605874 0.130530354      1
#> 164          1        1        1       1 2.7928154 0.497758436      1
#> 165          1        1        1       1 1.0374286 1.158550132      2
#> 166          1        1        1       1 1.4441628 0.360216031      1
#> 167          1        1        1       1 1.7483449 0.575658971      1
#> 168          1        1        1       1 2.1857613 0.228479660      1
#> 169          1        1        2       0 1.8741630 0.200296921      1
#> 170          1        1        1       1 1.6970707 1.255766636      2
#> 171          1        1        1       1 1.7499514 0.347490466      1
#> 172          1        1        1       1 1.4739748 1.611300880      3
#> 173          1        1        1       1 2.1676771 0.307984298      1
#> 174          1        1        2       0 2.2679387 0.009283612      1
#> 175          1        1        1       1 1.4771773 0.463542730      1
#> 176          1        1        1       1 2.1838737 0.418627891      1
#> 177          1        1        1       1 1.3652508 0.091526748      1
#> 178          1        1        1       1 1.7257000 0.065193891      1
#> 179          1        1        1       1 1.9475957 0.566834588      1
#> 180          1        1        1       1 1.3439588 0.908560322      2
#> 181          1        1        1       1 1.3954834 1.160161950      2
#> 182          1        1        1       1 1.2348208 0.520008072      1
#> 183          1        1        1       1 2.1439899 0.254085531      1
#> 184          1        1        2       0 2.4436727 0.301384935      1
#> 185          1        1        1       1 0.7505154 1.970688931      3
#> 186          1        1        1       1 1.5962182 0.572921304      1
#> 187          1        1        1       1 1.5540784 0.760265644      1
#> 188          1        1        1       1 1.1504611 1.474304705      2
#> 189          1        1        1       1 1.9144746 0.695658783      1
#> 190          1        1        1       1 1.3543194 0.564723025      1
#> 191          1        1        1       1 1.7960865 0.673086530      1
#> 192          1        1        1       1 2.3916169 1.103652332      2
#> 193          1        1        1       1 1.7306164 1.355395898      2
#> 194          1        1        1       1 0.8581741 2.045430972      3
#> 195          1        1        2       0 3.4721073 0.154647174      1
#> 196          1        1        1       1 1.8008480 0.632595861      1
#> 197          1        1        1       1 1.8306446 0.527731140      1
#> 198          1        1        1       1 0.7172483 1.642940668      3
#> 199          1        1        1       1 2.0761038 0.194779129      1
#> 200          1        1        1       1 1.7089463 0.162940238      1
#> 201          1        1        1       1 0.5613784 0.536461269      1
#> 202          1        1        1       1 2.3728138 0.144021770      1
#> 203          1        1        2       0 3.0635911 0.007714504      1
#> 204          1        1        1       1 1.4826881 0.679164820      1
#> 205          1        1        1       1 1.6147404 0.691834309      1
#> 206          1        1        2       0 2.0751231 0.324894009      1
#> 207          1        1        1       1 1.7718545 0.656647064      1
#> 208          1        1        1       1 5.3854257 0.108133121      1
#> 209          1        1        1       1 0.8508301 0.755608210      1
#> 210          1        1        1       1 1.6270000 0.957370596      2
#> 211          1        1        1       1 2.8664420 0.315937944      1
#> 212          1        1        2       0 2.3135964 0.164090118      1
#> 213          1        1        1       1 1.8539249 1.350678456      2
#> 214          1        1        1       1 1.4248487 0.884181782      2
#> 215          1        1        2       0 0.6817173 1.123654897      2
#> 216          1        1        1       1 1.4111465 0.768001252      1
#> 217          1        1        1       1 0.9842319 1.583748792      3
#> 218          1        1        1       1 1.0859248 1.124601801      2
#> 219          1        1        1       1 1.7914210 0.084589493      1
#> 220          1        1        1       1 0.7174722 2.150476697      3
#> 221          1        1        2       0 2.3298517 0.426297313      1
#> 222          1        1        1       1 1.1933554 1.032469775      2
#> 223          1        1        1       1 4.4776077 0.378912177      1
#> 224          1        1        2       0 1.9241472 0.062193362      1
#> 225          1        1        1       1 2.4984082 0.253528397      1
#> 226          1        1        1       1 2.5557026 0.681266018      1
#> 227          1        1        1       1 3.3387738 0.951326533      2
#> 228          1        1        1       1 1.3484139 0.607133790      1
#> 229          1        1        1       1 1.4401720 0.206293228      1
#> 230          1        1        1       1 2.3792822 0.665287293      1
#> 231          1        1        1       1 1.4823001 0.396383578      1
#> 232          1        1        1       1 2.7036230 1.078688834      2
#> 233          1        1        1       1 0.6699472 1.275104519      2
#> 234          1        1        1       1 1.6922411 0.653366895      1
#> 235          1        1        1       1 1.3824847 0.233382867      1
#> 236          1        1        1       1 1.1097372 0.889523587      2
#> 237          1        1        1       1 1.8181705 0.089082668      1
#> 238          1        1        1       1 1.9975951 0.031031907      1
#> 239          1        1        2       0 2.4251557 0.402892072      1
#> 240          1        1        1       1 0.6073567 1.721635898      3
#> 241          1        1        2       0 1.3442310 0.004742791      1
#> 242          1        1        1       1 1.5198908 1.268539265      2
#> 243          1        1        1       1 0.9490606 0.429977647      1
#> 244          1        1        1       1 1.4962889 1.540413895      3
#> 245          1        1        1       1 1.4905204 1.055961683      2
#> 246          1        1        1       1 1.3034405 0.478217309      1
#> 247          1        1        1       1 1.0972516 1.060206019      2
#> 248          1        1        1       1 1.7000061 0.898700293      2
#> 249          1        1        2       0 2.1203596 0.204495644      1
#> 250          1        1        1       1 0.6652888 1.846169846      3
#> 251          1        1        1       1 1.1150820 1.220787140      2
#> 252          1        1        2       0 1.2180334 0.181700769      1
#> 253          1        1        1       1 1.1748726 1.222625584      2
#> 254          1        1        1       1 1.1696029 0.929407101      2
#> 255          1        1        1       1 3.0118070 0.510868049      1
#> 256          1        1        1       1 1.8022316 0.465197874      1
#> 257          1        1        2       0 5.0045963 0.095145810      1
#> 258          1        1        1       1 1.9674415 0.544206735      1
#> 259          1        1        2       0 2.0317683 0.226565934      1
#> 260          1        1        1       1 3.0973354 0.143221117      1
#> 261          1        1        1       1 1.8720220 1.394603354      2
#> 262          1        1        1       1 0.6224240 1.408656149      2
#> 263          1        1        1       1 1.7230034 0.934710947      2
#> 264          1        1        1       1 0.5962695 2.484217342      3
#> 265          1        1        2       0 1.7096815 0.283302998      1
#> 266          1        1        2       0 1.8044100 0.129184317      1
#> 267          1        1        1       1 2.2446019 0.901482123      2
#> 268          1        1        2       0 1.8748972 0.018017551      1
#> 269          1        1        2       0 1.1282746 0.273993288      1
#> 270          1        1        1       1 1.3521383 0.350605838      1
#> 271          1        1        1       1 1.8003597 0.588066696      1
#> 272          1        1        2       0 2.8402492 0.092270866      1
#> 273          1        1        1       1 1.4604924 1.227356588      2
#> 274          1        1        1       1 1.2806790 0.624251715      1
#> 275          1        1        2       0 2.4535834 0.190115053      1
#> 276          1        1        2       0 1.1195914 0.176379699      1
#> 277          1        1        1       1 1.0103196 0.897548967      2
#> 278          1        1        1       1 1.5189463 1.118066971      2
#> 279          1        1        1       1 1.0761711 0.900283515      2
#> 280          1        1        2       0 1.6022960 0.849285271      2
#> 281          1        1        2       0 2.2676122 0.017184582      1
#> 282          1        1        1       1 1.4136065 0.350729100      1
#> 283          1        1        1       1 3.1553823 0.521321963      1
#> 284          1        1        2       0 1.2705578 0.027828519      1
#> 285          1        1        1       1 2.2324665 0.456420548      1
#> 286          1        1        1       1 3.8295620 0.378145010      1
#> 287          1        1        1       1 1.0126790 1.537952460      3
#> 288          1        1        2       0 0.9338013 0.353584763      1
#> 289          1        1        2       0 2.6025358 0.371849864      1
#> 290          1        1        1       1 2.0420354 0.381687789      1
#> 291          1        1        1       1 1.9775226 0.699838875      1
#> 292          1        1        2       0 2.6702191 0.005509006      1
#> 293          1        1        2       0 2.1921912 0.459635647      1
#> 294          1        1        1       1 0.6908401 1.855033678      3
#> 295          1        1        1       1 1.2237544 1.432046487      2
#> 296          1        1        1       1 2.1386905 0.946249255      2
#> 297          1        1        1       1 0.9738540 1.619554338      3
#> 298          1        1        2       0 1.8639840 0.152655710      1
#> 299          1        1        1       1 1.3100617 0.801683148      2
#> 300          1        1        1       1 2.0139621 0.776791042      1
#> 301          1        1        2       0 2.2243841 0.439194153      1
#> 302          1        1        1       1 2.9146799 0.370658535      1
#> 303          1        1        1       1 2.0551473 0.630963118      1
#> 304          1        1        1       1 1.0731227 1.075377111      2
#> 305          1        1        1       1 0.9408407 1.445486588      2
#> 306          1        1        1       1 1.1027328 0.829524149      2
#> 307          1        1        1       1 1.1272900 0.882242841      2
#> 308          1        1        1       1 1.3503519 0.738180247      1
#> 309          1        1        2       0 2.1042401 0.268123959      1
#> 310          1        1        1       1 1.2668184 1.120455431      2
#> 311          1        1        1       1 0.9047038 1.194856395      2
#> 312          1        1        1       1 0.7042838 1.615531520      3
#> 313          1        1        1       1 2.0675811 0.095252385      1
#> 314          1        1        1       1 3.2963196 0.068480714      1
#> 315          1        1        2       0 2.9978679 0.078014306      1
#> 316          1        1        1       1 1.0076427 1.783868988      3
#> 317          1        1        1       1 2.3179260 0.554345263      1
#> 318          1        1        1       1 2.3129890 0.516719793      1
#> 319          1        1        1       1 2.6328659 0.235036948      1
#> 320          1        1        2       0 1.7160514 0.316854399      1
#> 321          1        1        2       0 2.9232419 0.125309129      1
#> 322          1        1        2       0 1.7250432 0.001238718      1
#> 323          1        1        1       1 2.0529363 0.574946607      1
#> 324          1        1        1       1 1.8950711 0.741455374      1
#> 325          1        1        2       0 0.8139023 0.989930190      2
#> 326          1        1        1       1 0.9164527 1.465897784      2
#> 327          1        1        1       1 1.4228676 0.332128587      1
#> 328          1        1        2       0 1.6179993 0.272506161      1
#> 329          1        1        1       1 1.3145042 0.928117539      2
#> 330          1        1        2       0 3.6950020 0.135208769      1
#> 331          1        1        1       1 1.3921817 0.921974866      2
#> 332          1        1        1       1 1.4846084 0.989991190      2
#> 333          1        1        2       0 3.4324782 0.194874101      1
#> 334          1        1        1       1 2.4207252 0.436961108      1
#> 335          1        1        1       1 1.1015964 0.734455325      1
#> 336          1        1        1       1 1.0927449 0.526311643      1
#> 337          1        1        2       0 2.2470215 0.021280618      1
#> 338          1        1        1       1 2.4601831 0.492446358      1
#> 339          1        1        1       1 1.2518859 1.036197143      2
#> 340          1        1        1       1 2.3851567 1.433327987      2
#> 341          1        1        1       1 3.0070840 0.175752856      1
#> 342          1        1        1       1 2.3863198 0.492923589      1
#> 343          1        1        1       1 0.7456850 1.249264809      2
#> 344          1        1        1       1 1.1839023 0.817498094      2
#> 345          1        1        2       0 1.4164074 0.348801723      1
#> 346          1        1        2       0 1.7606390 1.337439003      2
#> 347          1        1        1       1 1.6148070 0.899178834      2
#> 348          1        1        1       1 2.2963513 0.598091251      1
#> 349          1        1        1       1 1.3729536 0.033516091      1
#> 350          1        1        1       1 2.1656485 0.461271726      1
#> 351          1        1        1       1 1.4792486 1.377991098      2
#> 352          1        1        2       0 1.5461582 0.449493482      1
#> 353          1        1        2       0 1.4101711 0.759211829      1
#> 354          1        1        2       0 2.5721616 0.346863732      1
#> 355          1        1        1       1 0.7651486 0.968034608      2
#> 356          1        1        2       0 3.6482295 0.308624803      1
#> 357          1        1        1       1 1.3073835 0.611601124      1
#> 358          1        1        1       1 0.5176602 1.256630638      2
#> 359          1        1        1       1 2.5644916 0.521499052      1
#> 360          1        1        2       0 2.2310977 0.411678550      1
#> 361          1        1        2       0 0.7472087 0.570869964      1
#> 362          1        1        2       0 1.9009091 0.913851666      2
#> 363          1        1        1       1 2.3070035 0.784487464      1
#> 364          1        1        2       0 3.6150299 0.642837664      1
#> 365          1        1        1       1 0.6085895 1.145371383      2
#> 366          1        1        1       1 1.2384864 1.158102099      2
#> 367          1        1        1       1 1.6187430 0.419373287      1
#> 368          1        1        2       0 2.0961586 0.243402279      1
#> 369          1        1        1       1 2.3716719 0.242861299      1
#> 370          1        1        1       1 1.2605142 1.838146813      3
#> 371          1        1        1       1 2.2386847 0.511269550      1
#> 372          1        1        1       1 1.3661679 0.916430767      2
#> 373          1        1        1       1 2.8555468 0.434822594      1
#> 374          1        1        1       1 2.7212787 0.379685108      1
#> 375          1        1        1       1 1.9761328 1.445412177      2
#> 376          1        1        1       1 1.5148856 0.726349351      1
#> 377          1        1        1       1 2.2463077 0.171586256      1
#> 378          1        1        1       1 1.3722890 0.279319307      1
#> 379          1        1        1       1 2.0139784 0.387303027      1
#> 380          1        1        1       1 2.1319351 0.412494696      1
#> 381          1        1        1       1 1.4860006 0.067651507      1
#> 382          1        1        1       1 1.4999209 0.642182896      1
#> 383          1        1        1       1 2.2038866 0.818731079      2
#> 384          1        1        1       1 2.0507862 0.161342281      1
#> 385          1        1        1       1 3.2867363 0.128086015      1
#> 386          1        1        1       1 0.9812050 1.620829894      3
#> 387          1        1        1       1 1.8387559 0.754226275      1
#> 388          1        1        1       1 1.8325843 0.568053332      1
#> 389          1        1        1       1 1.0811083 1.134609321      2
#> 390          1        1        1       1 3.6681913 0.736173153      1
#> 391          1        1        1       1 1.0481960 0.846429773      2
#> 392          1        1        1       1 1.6136210 0.750387541      1
#> 393          1        1        2       0 3.0159282 0.033446172      1
#> 394          1        1        1       1 2.6413685 0.481691230      1
#> 395          1        1        1       1 2.3331827 0.006326243      1
#> 396          1        1        2       0 1.7132285 0.317516162      1
#> 397          1        1        1       1 2.0890713 0.408675329      1
#> 398          1        1        1       1 1.5303580 1.677385806      3
#> 399          1        1        2       0 1.6683922 0.502877807      1
#> 400          1        1        1       1 1.5611131 0.018717007      1
#> 401          2        1        1       1 0.9933948 1.968310403      3
#> 402          2        1        1       1 0.8083529 0.828167191      2
#> 403          2        1        1       1 1.1731083 0.550389274      1
#> 404          2        1        1       1 0.8918154 1.679837923      3
#> 405          2        1        1       1 0.5798794 1.129017822      2
#> 406          2        1        1       1 0.9189372 2.216265007      3
#> 407          2        1        1       1 1.2111944 0.121794131      1
#> 408          2        1        1       1 0.9203313 1.220534768      2
#> 409          2        1        1       1 1.1259378 0.984772901      2
#> 410          2        1        1       1 0.8431586 0.993287868      2
#> 411          2        1        1       1 1.2290633 0.818377393      2
#> 412          2        1        1       1 0.7892464 2.288810217      3
#> 413          2        1        1       1 0.5185525 1.165610108      2
#> 414          2        1        1       1 0.7184270 1.197894768      2
#> 415          2        1        1       1 1.3762716 0.979999794      2
#> 416          2        1        1       1 1.3426762 0.820011833      2
#> 417          2        1        1       1 1.9175121 0.728213006      1
#> 418          2        1        1       1 0.4541462 1.704296497      3
#> 419          2        1        1       1 1.5823527 0.645911778      1
#> 420          2        1        1       1 0.9421281 1.412357320      2
#> 421          2        1        1       1 1.1580430 1.005577382      2
#> 422          2        1        1       1 1.6064738 0.573749578      1
#> 423          2        1        1       1 1.1557811 0.928154116      2
#> 424          2        1        1       1 1.1136982 1.577841091      3
#> 425          2        1        1       1 0.3891446 2.381037151      3
#> 426          2        1        1       1 0.5983628 1.656337067      3
#> 427          2        1        1       1 1.1334105 0.908282064      2
#> 428          2        1        1       1 0.8555792 1.996109361      3
#> 429          2        1        1       1 0.7789248 2.020179667      3
#> 430          2        1        1       1 0.5676833 1.353276658      2
#> 431          2        1        1       1 0.9052000 0.686233894      1
#> 432          2        1        1       1 0.9755013 0.284854191      1
#> 433          2        1        1       1 0.8421352 0.899187204      2
#> 434          2        1        1       1 0.7626281 1.194421532      2
#> 435          2        1        1       1 0.8078380 1.353441773      2
#> 436          2        1        1       1 0.8861503 1.038920107      2
#> 437          2        1        1       1 0.8340529 1.125188872      2
#> 438          2        1        1       1 2.5025513 1.190254455      2
#> 439          2        1        1       1 0.4786105 2.184317863      3
#> 440          2        1        1       1 0.8699014 1.564626793      3
#> 441          2        1        1       1 1.3299906 1.178673521      2
#> 442          2        1        1       1 1.1489706 0.168015322      1
#> 443          2        1        1       1 0.6819062 1.823278790      3
#> 444          2        1        2       0 1.3355771 0.489594677      1
#> 445          2        1        2       0 1.8928916 0.034140316      1
#> 446          2        1        1       1 0.9966739 1.068882160      2
#> 447          2        1        1       1 1.1341308 1.275370672      2
#> 448          2        1        1       1 1.5079262 0.911957214      2
#> 449          2        1        1       1 0.6434027 1.323406842      2
#> 450          2        1        1       1 1.1342034 0.495548475      1
#> 451          2        1        1       1 0.6521331 1.837787243      3
#> 452          2        1        1       1 0.8435919 0.892648335      2
#> 453          2        1        1       1 1.0336578 1.241361778      2
#> 454          2        1        1       1 1.3776425 0.058683121      1
#> 455          2        1        1       1 0.6128513 1.656983306      3
#> 456          2        1        1       1 1.2483026 1.129204344      2
#> 457          2        1        1       1 0.6931672 1.946332158      3
#> 458          2        1        1       1 1.0541883 1.815441008      3
#> 459          2        1        1       1 1.1726685 0.497199995      1
#> 460          2        1        1       1 0.6657506 0.826424295      2
#> 461          2        1        1       1 1.2661917 0.747151052      1
#> 462          2        1        1       1 0.6367404 1.283798552      2
#> 463          2        1        1       1 3.2223484 0.439112804      1
#> 464          2        1        1       1 0.4218523 1.696770604      3
#> 465          2        1        1       1 0.8309051 0.443497229      1
#> 466          2        1        1       1 0.8064681 1.320141968      2
#> 467          2        1        1       1 1.6856433 0.838281962      2
#> 468          2        1        1       1 0.5987316 1.482130449      2
#> 469          2        1        1       1 2.2810649 1.166517862      2
#> 470          2        1        1       1 1.6020592 1.069024543      2
#> 471          2        1        1       1 1.1723287 0.849496777      2
#> 472          2        1        1       1 1.2983827 1.303621146      2
#> 473          2        1        1       1 0.8072876 2.006127077      3
#> 474          2        1        1       1 0.8560699 0.861191980      2
#> 475          2        1        1       1 0.8035098 1.533245041      3
#> 476          2        1        1       1 1.5167851 0.100569076      1
#> 477          2        1        1       1 0.9854889 1.453970274      2
#> 478          2        1        1       1 1.1711627 0.538710500      1
#> 479          2        1        1       1 1.3813859 1.119632045      2
#> 480          2        1        1       1 0.7465949 0.965233893      2
#> 481          2        1        1       1 3.2550835 0.127991409      1
#> 482          2        1        1       1 0.5035196 2.165435950      3
#> 483          2        1        1       1 0.7468484 1.286296974      2
#> 484          2        1        1       1 3.7115097 0.244474147      1
#> 485          2        1        2       0 1.5156027 0.009420621      1
#> 486          2        1        1       1 1.6535039 0.383722409      1
#> 487          2        1        1       1 1.8384298 0.659936881      1
#> 488          2        1        1       1 0.9273922 1.187787098      2
#> 489          2        1        1       1 1.2629216 1.706070732      3
#> 490          2        1        1       1 1.5180093 1.420164110      2
#> 491          2        1        1       1 2.2294768 0.913265828      2
#> 492          2        1        1       1 0.9511100 0.930432706      2
#> 493          2        1        1       1 1.2628432 0.016708950      1
#> 494          2        1        1       1 0.7529276 0.964799462      2
#> 495          2        1        1       1 1.4633001 0.496826608      1
#> 496          2        1        1       1 1.5550458 0.809752469      2
#> 497          2        1        1       1 1.1270551 0.775288632      1
#> 498          2        1        1       1 1.1821711 0.529439808      1
#> 499          2        1        1       1 1.2706798 1.264688237      2
#> 500          2        1        1       1 1.7239384 0.934749683      2
#> 501          2        1        1       1 1.6193964 0.553214753      1
#> 502          2        1        1       1 1.9185840 0.435068662      1
#> 503          2        1        1       1 1.1265587 0.772522796      1
#> 504          2        1        1       1 0.5312152 2.121663655      3
#> 505          2        1        1       1 0.6991610 1.640855150      3
#> 506          2        1        1       1 2.3321573 0.131988860      1
#> 507          2        1        1       1 3.1000614 0.117454004      1
#> 508          2        1        1       1 2.7830404 0.387637501      1
#> 509          2        1        1       1 1.0119678 0.874272717      2
#> 510          2        1        1       1 1.2862058 0.747548630      1
#> 511          2        1        2       0 1.4115168 0.987824233      2
#> 512          2        1        1       1 2.1049036 0.046256736      1
#> 513          2        1        1       1 0.8482220 1.075669717      2
#> 514          2        1        2       0 1.3354298 0.191969542      1
#> 515          2        1        1       1 1.8011775 1.146569475      2
#> 516          2        1        1       1 0.6242717 1.813259116      3
#> 517          2        1        1       1 1.7013128 0.465508618      1
#> 518          2        1        1       1 0.6077986 2.051926725      3
#> 519          2        1        1       1 1.2373655 1.170450128      2
#> 520          2        1        1       1 0.6301299 1.555601224      3
#> 521          2        1        1       1 0.7559646 1.315380669      2
#> 522          2        1        1       1 0.3943984 1.779746523      3
#> 523          2        1        1       1 0.6849894 1.586231897      3
#> 524          2        1        1       1 0.6441883 1.263094904      2
#> 525          2        1        1       1 0.8315872 1.185833391      2
#> 526          2        1        1       1 0.8217101 1.992033259      3
#> 527          2        1        1       1 1.4052886 0.238649023      1
#> 528          2        1        1       1 0.8751640 1.256230232      2
#> 529          2        1        1       1 0.9458271 0.611670243      1
#> 530          2        1        1       1 2.6860478 0.930852070      2
#> 531          2        1        1       1 0.7296522 1.370562409      2
#> 532          2        1        1       1 0.8931561 1.015634834      2
#> 533          2        1        1       1 1.8061740 0.793343449      1
#> 534          2        1        1       1 1.3101364 1.009914584      2
#> 535          2        1        1       1 0.5323157 1.159828585      2
#> 536          2        1        1       1 1.3760009 1.230498632      2
#> 537          2        1        1       1 1.2423834 1.887794330      3
#> 538          2        1        1       1 1.1710411 1.302933281      2
#> 539          2        1        1       1 3.2107725 1.427069937      2
#> 540          2        1        1       1 0.6103853 1.455125242      2
#> 541          2        1        1       1 0.8229718 1.057576049      2
#> 542          2        1        1       1 1.2371525 1.150747253      2
#> 543          2        1        1       1 1.3963793 1.144887132      2
#> 544          2        1        1       1 0.7388433 1.016780667      2
#> 545          2        1        1       1 0.7656773 0.684732678      1
#> 546          2        1        1       1 1.8525107 0.516192618      1
#> 547          2        1        1       1 1.0599917 0.580079101      1
#> 548          2        1        1       1 0.9627507 1.036913063      2
#> 549          2        1        1       1 1.1060341 1.382758903      2
#> 550          2        1        1       1 0.3320932 2.774558882      3
#> 551          2        1        1       1 0.8252333 0.766076496      1
#> 552          2        1        1       1 1.2716201 0.260184559      1
#> 553          2        1        1       1 1.0207451 0.928818187      2
#> 554          2        1        1       1 0.9805535 0.883791005      2
#> 555          2        1        1       1 0.5519849 1.716347683      3
#> 556          2        1        1       1 0.9440090 1.308156495      2
#> 557          2        1        1       1 1.1963560 0.959930288      2
#> 558          2        1        1       1 1.2649254 0.453680375      1
#> 559          2        1        1       1 1.5126314 0.354394916      1
#> 560          2        1        1       1 0.7720312 0.910888264      2
#> 561          2        1        1       1 0.8391439 1.727141998      3
#> 562          2        1        1       1 0.7630313 1.490408588      2
#> 563          2        1        1       1 1.0144776 1.948344311      3
#> 564          2        1        1       1 0.9529050 1.284049105      2
#> 565          2        1        1       1 0.7484809 0.906203186      2
#> 566          2        1        1       1 0.9876804 0.833817409      2
#> 567          2        1        1       1 1.0555738 1.572155419      3
#> 568          2        1        1       1 2.4445472 1.024595150      2
#> 569          2        1        1       1 0.9455835 0.953472910      2
#> 570          2        1        2       0 1.9753319 0.012621431      1
#> 571          2        1        1       1 0.8090435 1.062180457      2
#> 572          2        1        1       1 1.2238607 2.339937427      3
#> 573          2        1        1       1 0.7009809 0.414905539      1
#> 574          2        1        1       1 1.1047623 0.478056810      1
#> 575          2        1        1       1 1.9364610 0.911413951      2
#> 576          2        1        1       1 0.9541853 0.184510551      1
#> 577          2        1        1       1 0.8021932 0.150935829      1
#> 578          2        1        1       1 0.6720247 1.414134787      2
#> 579          2        1        1       1 0.7254089 1.705675450      3
#> 580          2        1        1       1 0.9788424 1.658888466      3
#> 581          2        1        1       1 1.2359326 0.729124991      1
#> 582          2        1        1       1 0.5124992 1.171172897      2
#> 583          2        1        1       1 0.8959366 1.701836774      3
#> 584          2        1        1       1 1.5241302 0.586824606      1
#> 585          2        1        1       1 0.6822217 1.551921972      3
#> 586          2        1        1       1 1.0096198 0.655107659      1
#> 587          2        1        1       1 1.6405491 1.568693752      3
#> 588          2        1        1       1 0.9898517 0.677729563      1
#> 589          2        1        1       1 0.9977751 0.970233747      2
#> 590          2        1        1       1 1.2192992 0.757508532      1
#> 591          2        1        1       1 1.6101807 0.905740117      2
#> 592          2        1        1       1 1.7576279 0.311656272      1
#> 593          2        1        1       1 1.9304866 1.337756030      2
#> 594          2        1        1       1 1.0730895 1.679822798      3
#> 595          2        1        1       1 0.8323945 0.714654560      1
#> 596          2        1        1       1 0.8155545 1.491026599      2
#> 597          2        1        1       1 0.6707991 2.427746022      3
#> 598          2        1        1       1 0.6538300 0.452473931      1
#> 599          2        1        1       1 0.6713771 1.804474642      3
#> 600          2        1        1       1 1.9841459 1.516183784      3
#> 601          2        1        1       1 0.6181059 1.596505969      3
#> 602          2        1        1       1 0.8722479 1.875335988      3
#> 603          2        1        1       1 0.8043939 0.521770623      1
#> 604          2        1        1       1 1.0954691 1.135031149      2
#> 605          2        1        1       1 3.0422552 0.970169063      2
#> 606          2        1        1       1 1.0874069 1.306208540      2
#> 607          2        1        1       1 1.6523586 0.833927340      2
#> 608          2        1        1       1 1.0235793 1.025547632      2
#> 609          2        1        1       1 1.0461044 1.286587789      2
#> 610          2        1        1       1 1.0809896 1.543515313      3
#> 611          2        1        1       1 1.2233956 1.904835637      3
#> 612          2        1        1       1 2.1341711 0.532798886      1
#> 613          2        1        1       1 1.0747833 1.594137299      3
#> 614          2        1        2       0 0.7749264 0.571616473      1
#> 615          2        1        1       1 0.4806197 1.470464876      2
#> 616          2        1        1       1 0.9183502 1.543330724      3
#> 617          2        1        2       0 0.7980723 0.494504537      1
#> 618          2        1        1       1 1.3696480 0.984334990      2
#> 619          2        1        1       1 0.8366891 1.791849087      3
#> 620          2        1        1       1 1.2007741 1.276304697      2
#> 621          2        1        1       1 1.0898016 1.549006387      3
#> 622          2        1        1       1 0.7126644 0.561152317      1
#> 623          2        1        1       1 1.2036139 0.722586491      1
#> 624          2        1        1       1 1.7445784 0.024699074      1
#> 625          2        1        1       1 0.8803406 1.774713983      3
#> 626          2        1        2       0 3.0909385 0.344864692      1
#> 627          2        1        1       1 1.6407344 0.851121254      2
#> 628          2        1        1       1 0.8374978 1.157776864      2
#> 629          2        1        1       1 0.9415122 1.073397957      2
#> 630          2        1        1       1 1.1389570 1.338898700      2
#> 631          2        1        1       1 1.0885478 0.926619195      2
#> 632          2        1        1       1 0.8312609 1.401340457      2
#> 633          2        1        1       1 1.0495287 0.885545042      2
#> 634          2        1        1       1 2.0450092 0.422285585      1
#> 635          2        1        1       1 1.1832071 0.798677464      1
#> 636          2        1        1       1 1.3110832 1.557575179      3
#> 637          2        1        1       1 0.8200561 1.314418381      2
#> 638          2        1        1       1 1.3650593 0.217320092      1
#> 639          2        1        1       1 1.5747229 0.574156270      1
#> 640          2        1        1       1 1.1518274 1.420593539      2
#> 641          2        1        1       1 1.6500184 1.027335931      2
#> 642          2        1        1       1 3.3928559 0.236885993      1
#> 643          2        1        1       1 1.6073688 0.113784628      1
#> 644          2        1        1       1 2.8494284 0.056819961      1
#> 645          2        1        1       1 1.8795430 1.068894576      2
#> 646          2        1        1       1 0.6949957 1.444048102      2
#> 647          2        1        1       1 1.8694721 0.488518309      1
#> 648          2        1        1       1 1.0293740 1.052698612      2
#> 649          2        1        1       1 1.0741670 0.433785244      1
#> 650          2        1        1       1 0.8769388 1.101320570      2
#> 651          2        1        1       1 1.0466866 0.967708201      2
#> 652          2        1        1       1 1.4465003 1.170079122      2
#> 653          2        1        1       1 0.9494355 1.534465883      3
#> 654          2        1        1       1 1.5852737 0.658477943      1
#> 655          2        1        1       1 1.4583915 0.477060821      1
#> 656          2        1        1       1 0.9525903 1.016546247      2
#> 657          2        1        1       1 0.3828350 2.039213788      3
#> 658          2        1        1       1 1.0141769 1.551149817      3
#> 659          2        1        1       1 0.6659175 0.754101139      1
#> 660          2        1        1       1 1.3252631 0.108550548      1
#> 661          2        1        1       1 1.2514281 0.943272954      2
#> 662          2        1        1       1 1.4993561 0.727065140      1
#> 663          2        1        1       1 1.9077267 1.426803287      2
#> 664          2        1        1       1 0.7781153 0.554990207      1
#> 665          2        1        1       1 0.5384810 1.425165177      2
#> 666          2        1        1       1 1.0465898 0.692585821      1
#> 667          2        1        1       1 0.9004803 0.627026125      1
#> 668          2        1        1       1 1.6318038 0.444111882      1
#> 669          2        1        1       1 1.7717276 0.453474722      1
#> 670          2        1        2       0 1.5959664 0.071933137      1
#> 671          2        1        1       1 0.7332131 0.738062491      1
#> 672          2        1        1       1 1.7507552 0.178711929      1
#> 673          2        1        1       1 1.7617620 0.406842973      1
#> 674          2        1        1       1 0.7742879 1.722130622      3
#> 675          2        1        2       0 1.7613302 0.124884556      1
#> 676          2        1        1       1 0.9376757 2.488745557      3
#> 677          2        1        1       1 1.0669417 1.202575113      2
#> 678          2        1        1       1 1.2119623 0.917734683      2
#> 679          2        1        1       1 1.0717121 1.671376888      3
#> 680          2        1        1       1 1.0602764 1.863440041      3
#> 681          2        1        1       1 0.8833455 1.301181790      2
#> 682          2        1        2       0 1.8093055 0.050157104      1
#> 683          2        1        1       1 1.6657569 0.822077209      2
#> 684          2        1        1       1 0.4681841 1.943692637      3
#> 685          2        1        1       1 2.3402729 0.322131139      1
#> 686          2        1        1       1 1.3815508 0.312112959      1
#> 687          2        1        1       1 1.1901243 0.830067604      2
#> 688          2        1        1       1 1.0857805 1.430088416      2
#> 689          2        1        2       0 1.3883398 0.227135811      1
#> 690          2        1        1       1 0.5384606 2.692505265      3
#> 691          2        1        1       1 0.5539763 1.892866400      3
#> 692          2        1        1       1 0.5228217 1.397530831      2
#> 693          2        1        1       1 1.0661376 0.731776455      1
#> 694          2        1        1       1 0.5774960 2.100293267      3
#> 695          2        1        1       1 1.8170707 0.921057303      2
#> 696          2        1        1       1 1.4255894 0.230821694      1
#> 697          2        1        1       1 2.2889713 0.276015250      1
#> 698          2        1        1       1 0.9272299 1.520227270      3
#> 699          2        1        1       1 1.3943260 1.138388695      2
#> 700          2        1        1       1 1.1504650 0.721051469      1
#> 701          2        1        1       1 0.4761393 0.929300865      2
#> 702          2        1        1       1 0.4391644 2.031259847      3
#> 703          2        1        1       1 0.9092234 0.988130936      2
#> 704          2        1        1       1 0.6626416 0.449394918      1
#> 705          2        1        1       1 0.9897942 1.036151227      2
#> 706          2        1        1       1 0.6720279 2.379931373      3
#> 707          2        1        1       1 0.4798942 1.631019190      3
#> 708          2        1        1       1 1.8497046 1.047381128      2
#> 709          2        1        1       1 0.7277955 1.212174259      2
#> 710          2        1        1       1 0.4920221 2.284174432      3
#> 711          2        1        1       1 0.9138043 0.553357630      1
#> 712          2        1        1       1 1.6383358 0.557046320      1
#> 713          2        1        1       1 0.5533528 1.478201575      2
#> 714          2        1        1       1 0.9409613 1.923903900      3
#> 715          2        1        1       1 0.7221480 1.728419528      3
#> 716          2        1        1       1 1.0878152 0.089839402      1
#> 717          2        1        1       1 1.1790485 1.600716499      3
#> 718          2        1        1       1 0.8927145 1.650468114      3
#> 719          2        1        1       1 1.3139024 1.282977740      2
#> 720          2        1        1       1 1.7760349 0.505995353      1
#> 721          2        1        2       0 1.5452312 0.498278226      1
#> 722          2        1        1       1 2.0470808 1.170547322      2
#> 723          2        1        1       1 0.8583998 0.146018564      1
#> 724          2        1        1       1 0.9998604 1.292476872      2
#> 725          2        1        1       1 0.7498903 0.382266852      1
#> 726          2        1        1       1 0.6892912 0.789776358      1
#> 727          2        1        1       1 1.2865003 1.218938084      2
#> 728          2        1        1       1 0.8941052 0.903332328      2
#> 729          2        1        2       0 0.9711663 0.165794995      1
#> 730          2        1        1       1 0.8860154 1.446888323      2
#> 731          2        1        1       1 1.3307675 0.031340741      1
#> 732          2        1        1       1 0.8206671 1.678882127      3
#> 733          2        1        2       0 1.8598507 0.050113803      1
#> 734          2        1        1       1 1.1690938 0.689387216      1
#> 735          2        1        1       1 0.6300140 1.226083951      2
#> 736          2        1        1       1 0.7607906 1.567909770      3
#> 737          2        1        1       1 2.5238703 0.114262439      1
#> 738          2        1        1       1 0.4820595 2.593803251      3
#> 739          2        1        1       1 0.9400946 0.391904174      1
#> 740          2        1        1       1 0.8025327 1.670053229      3
#> 741          2        1        2       0 1.5564066 0.458054277      1
#> 742          2        1        1       1 1.0095181 1.102956956      2
#> 743          2        1        1       1 1.4137442 0.832810565      2
#> 744          2        1        1       1 1.0799211 1.631169402      3
#> 745          2        1        1       1 0.4729124 1.953408874      3
#> 746          2        1        1       1 0.7042936 1.280857708      2
#> 747          2        1        1       1 1.3506396 0.835782741      2
#> 748          2        1        1       1 1.0966303 1.062126454      2
#> 749          2        1        1       1 3.7269879 0.575559012      1
#> 750          2        1        1       1 1.3170137 0.913334377      2
#> 751          2        1        2       0 0.9364074 0.170314628      1
#> 752          2        1        1       1 0.8595931 0.852920485      2
#> 753          2        1        1       1 0.9778208 1.180912817      2
#> 754          2        1        1       1 1.0160648 0.258494099      1
#> 755          2        1        1       1 0.9798253 0.895620473      2
#> 756          2        1        2       0 3.1235473 0.083789305      1
#> 757          2        1        1       1 0.8961649 1.518823959      3
#> 758          2        1        1       1 0.9314436 1.738464296      3
#> 759          2        1        1       1 1.2311402 1.113456216      2
#> 760          2        1        1       1 1.9797844 0.386268925      1
#> 761          2        1        1       1 0.7455619 1.196291611      2
#> 762          2        1        1       1 1.2415145 0.026679568      1
#> 763          2        1        1       1 1.2032984 1.702685702      3
#> 764          2        1        1       1 1.3903380 0.922768605      2
#> 765          2        1        1       1 1.4403035 1.966454144      3
#> 766          2        1        1       1 2.1117740 0.554249196      1
#> 767          2        1        1       1 1.9853355 0.681598406      1
#> 768          2        1        1       1 2.1304477 0.993895360      2
#> 769          2        1        1       1 1.2373618 0.074168163      1
#> 770          2        1        2       0 1.3139918 0.690429234      1
#> 771          2        1        1       1 1.2318542 1.107520536      2
#> 772          2        1        1       1 1.6198109 0.625427916      1
#> 773          2        1        1       1 1.2522531 0.633657653      1
#> 774          2        1        1       1 1.1212740 1.783450475      3
#> 775          2        1        1       1 1.6797437 1.476953407      2
#> 776          2        1        1       1 0.7319232 1.541621978      3
#> 777          2        1        1       1 1.3764859 0.859693391      2
#> 778          2        1        1       1 0.9760925 0.717610035      1
#> 779          2        1        1       1 2.5450378 0.824201741      2
#> 780          2        1        1       1 1.6543654 1.371538497      2
#> 781          2        1        1       1 1.0877232 0.500064156      1
#> 782          2        1        1       1 1.3696784 0.934339131      2
#> 783          2        1        1       1 1.3950524 0.974534048      2
#> 784          2        1        1       1 1.6978664 0.257219515      1
#> 785          2        1        1       1 0.5850063 1.601761509      3
#> 786          2        1        1       1 1.2173711 0.915873256      2
#> 787          2        1        2       0 2.0143288 0.077451648      1
#> 788          2        1        1       1 1.1119846 0.545208989      1
#> 789          2        1        1       1 2.4899675 0.613304277      1
#> 790          2        1        1       1 0.7623455 1.664700159      3
#> 791          2        1        1       1 0.7380993 0.220165043      1
#> 792          2        1        1       1 1.4498300 0.070759937      1
#> 793          2        1        1       1 1.7648133 0.990764526      2
#> 794          2        1        1       1 0.7168671 2.081764937      3
#> 795          2        1        1       1 0.5020204 1.013460579      2
#> 796          2        1        1       1 1.4366150 0.144151362      1
#> 797          2        1        1       1 1.0615520 1.501753338      3
#> 798          2        1        1       1 1.6988223 0.711342719      1
#> 799          2        1        1       1 0.7948382 0.649586544      1
#> 800          2        1        1       1 1.3255203 0.372360325      1
#> 801          1        2        1       0 2.7560771 0.061547837      1
#> 802          1        2        2       1 2.5132952 0.139660573      1
#> 803          1        2        1       0 4.5045398 0.570634386      1
#> 804          1        2        2       1 4.8871907 0.415513254      1
#> 805          1        2        1       0 1.8547769 0.544217932      1
#> 806          1        2        2       1 1.9864454 0.416589089      1
#> 807          1        2        2       1 2.3715178 0.378761153      1
#> 808          1        2        2       1 2.9567089 0.377757182      1
#> 809          1        2        2       1 0.9128565 1.470611032      2
#> 810          1        2        1       0 1.1476428 0.388784860      1
#> 811          1        2        2       1 0.7542498 1.492777697      2
#> 812          1        2        2       1 1.6634472 0.037313326      1
#> 813          1        2        2       1 2.1648203 0.668143137      1
#> 814          1        2        2       1 1.7915936 0.589001479      1
#> 815          1        2        2       1 1.3303846 0.989354401      2
#> 816          1        2        2       1 2.7365526 0.035520292      1
#> 817          1        2        2       1 2.0982285 1.234248740      2
#> 818          1        2        2       1 0.9947824 0.241457859      1
#> 819          1        2        2       1 3.0112350 0.090096001      1
#> 820          1        2        2       1 1.0803619 2.006485810      3
#> 821          1        2        2       1 1.3869465 0.366615371      1
#> 822          1        2        2       1 2.3525743 0.019489140      1
#> 823          1        2        2       1 2.3095287 0.346068462      1
#> 824          1        2        2       1 1.0054441 1.722991185      3
#> 825          1        2        2       1 1.3738486 0.440987050      1
#> 826          1        2        2       1 1.6860280 0.073144263      1
#> 827          1        2        2       1 2.1343085 0.583080132      1
#> 828          1        2        2       1 1.0193719 0.973915018      2
#> 829          1        2        1       0 1.1494116 0.255382121      1
#> 830          1        2        2       1 2.0545415 0.269105793      1
#> 831          1        2        2       1 1.0294364 1.021515358      2
#> 832          1        2        1       0 1.8786357 0.210084503      1
#> 833          1        2        2       1 1.4884581 0.954206272      2
#> 834          1        2        2       1 1.6015690 0.607081310      1
#> 835          1        2        2       1 1.6356057 0.428728900      1
#> 836          1        2        2       1 1.3856759 0.081959110      1
#> 837          1        2        2       1 1.6210685 1.718171240      3
#> 838          1        2        2       1 1.7626837 1.146983725      2
#> 839          1        2        2       1 2.1865321 0.118012068      1
#> 840          1        2        1       0 1.9041656 0.089378189      1
#> 841          1        2        2       1 1.1652951 0.453726999      1
#> 842          1        2        2       1 2.4076753 0.380284891      1
#> 843          1        2        2       1 1.7982218 1.400049628      2
#> 844          1        2        1       0 3.3715561 0.147969797      1
#> 845          1        2        2       1 1.5568658 0.346555374      1
#> 846          1        2        2       1 1.4849931 0.522049168      1
#> 847          1        2        2       1 0.8598297 0.698968757      1
#> 848          1        2        1       0 1.2525292 0.300134102      1
#> 849          1        2        2       1 1.9516163 0.563118013      1
#> 850          1        2        1       0 1.2780106 0.076477003      1
#> 851          1        2        2       1 1.7334717 1.028347335      2
#> 852          1        2        1       0 2.8192557 0.459270227      1
#> 853          1        2        2       1 1.1571972 1.693212981      3
#> 854          1        2        2       1 1.1115839 0.343983700      1
#> 855          1        2        2       1 1.3872641 0.688534500      1
#> 856          1        2        2       1 1.9663306 0.214181729      1
#> 857          1        2        2       1 1.7147875 0.319761560      1
#> 858          1        2        2       1 1.9738315 0.440122572      1
#> 859          1        2        2       1 1.0013132 0.482110888      1
#> 860          1        2        1       0 2.2920715 0.067162978      1
#> 861          1        2        2       1 1.2725874 0.986307080      2
#> 862          1        2        2       1 0.9346710 0.944970650      2
#> 863          1        2        2       1 1.1343218 0.496533683      1
#> 864          1        2        2       1 1.1992976 1.356973591      2
#> 865          1        2        1       0 1.5421716 0.970945808      2
#> 866          1        2        2       1 1.3712999 0.996492623      2
#> 867          1        2        2       1 1.8387396 0.911510016      2
#> 868          1        2        2       1 1.0300050 0.936205799      2
#> 869          1        2        1       0 1.0655978 0.490190331      1
#> 870          1        2        2       1 0.7679936 0.715453367      1
#> 871          1        2        2       1 1.1381984 1.012600080      2
#> 872          1        2        2       1 1.4309733 0.652792519      1
#> 873          1        2        2       1 2.1024828 0.453714669      1
#> 874          1        2        2       1 3.0845947 0.176411801      1
#> 875          1        2        2       1 1.9422917 0.085008154      1
#> 876          1        2        2       1 1.8788441 0.164120955      1
#> 877          1        2        1       0 2.7010598 0.118849707      1
#> 878          1        2        2       1 1.5053115 1.104499112      2
#> 879          1        2        2       1 1.0819306 1.614047250      3
#> 880          1        2        2       1 1.9053239 0.738850589      1
#> 881          1        2        2       1 1.3780372 0.337254183      1
#> 882          1        2        2       1 1.2927425 1.011040075      2
#> 883          1        2        2       1 1.7435543 0.010619002      1
#> 884          1        2        2       1 1.5273033 0.476851234      1
#> 885          1        2        2       1 1.0261571 0.555557805      1
#> 886          1        2        2       1 1.5031745 0.495401401      1
#> 887          1        2        2       1 0.9902160 0.125104810      1
#> 888          1        2        2       1 1.5333381 0.986531205      2
#> 889          1        2        2       1 2.0329840 0.473011886      1
#> 890          1        2        2       1 1.5279680 0.109706768      1
#> 891          1        2        1       0 1.4168849 0.230430276      1
#> 892          1        2        2       1 1.7213306 0.622844722      1
#> 893          1        2        2       1 1.3218797 0.482269273      1
#> 894          1        2        2       1 1.5352530 0.653610260      1
#> 895          1        2        2       1 2.1680323 0.134206231      1
#> 896          1        2        2       1 1.0446054 0.907076758      2
#> 897          1        2        2       1 0.5032815 1.837948794      3
#> 898          1        2        2       1 1.2562405 0.014418422      1
#> 899          1        2        2       1 0.7342587 1.015046418      2
#> 900          1        2        2       1 0.9643179 1.178538878      2
#> 901          1        2        2       1 1.5203117 1.076568610      2
#> 902          1        2        2       1 4.1026887 0.810594015      2
#> 903          1        2        2       1 1.2714933 0.018451066      1
#> 904          1        2        2       1 2.2047761 0.937043527      2
#> 905          1        2        2       1 1.0012884 0.981231979      2
#> 906          1        2        2       1 1.0970644 1.073569750      2
#> 907          1        2        2       1 1.5203010 0.850643736      2
#> 908          1        2        2       1 1.2206350 0.174296616      1
#> 909          1        2        1       0 2.2153433 0.100481820      1
#> 910          1        2        2       1 1.6369579 0.065733494      1
#> 911          1        2        2       1 1.0047771 1.833670167      3
#> 912          1        2        2       1 3.7095117 0.205611361      1
#> 913          1        2        2       1 1.0399711 1.490724618      2
#> 914          1        2        1       0 1.4826817 0.150366846      1
#> 915          1        2        2       1 1.1321595 0.918733511      2
#> 916          1        2        2       1 1.2425353 0.434446251      1
#> 917          1        2        2       1 1.1342445 0.983255661      2
#> 918          1        2        2       1 1.4450142 1.352124722      2
#> 919          1        2        2       1 1.4370438 1.113789947      2
#> 920          1        2        2       1 2.1750477 0.169568493      1
#> 921          1        2        2       1 1.5838057 1.620530081      3
#> 922          1        2        2       1 2.7643761 0.098990435      1
#> 923          1        2        2       1 1.8742965 0.111307685      1
#> 924          1        2        2       1 1.2642351 1.793426149      3
#> 925          1        2        2       1 1.8930312 0.230126489      1
#> 926          1        2        2       1 2.9479273 0.143713896      1
#> 927          1        2        1       0 2.9284932 0.322425657      1
#> 928          1        2        2       1 1.8348361 0.672343440      1
#> 929          1        2        1       0 1.7552067 0.473338453      1
#> 930          1        2        1       0 1.9209932 0.024969285      1
#> 931          1        2        1       0 1.2241427 0.710044189      1
#> 932          1        2        2       1 2.2870222 0.120247396      1
#> 933          1        2        2       1 1.9531897 0.724960147      1
#> 934          1        2        2       1 1.1636127 0.629665446      1
#> 935          1        2        2       1 1.2477893 1.487970475      2
#> 936          1        2        1       0 2.3299060 0.326804285      1
#> 937          1        2        2       1 2.6564714 0.292374310      1
#> 938          1        2        1       0 2.5605349 0.374718519      1
#> 939          1        2        2       1 2.0879823 0.717967682      1
#> 940          1        2        2       1 1.9496962 0.909709419      2
#> 941          1        2        2       1 1.6791585 0.757180575      1
#> 942          1        2        1       0 1.8774906 0.004589835      1
#> 943          1        2        2       1 1.1130662 0.661057675      1
#> 944          1        2        1       0 1.5342446 0.583782164      1
#> 945          1        2        1       0 2.1304647 0.428864203      1
#> 946          1        2        1       0 2.7317125 0.481216819      1
#> 947          1        2        2       1 0.7604290 0.980401369      2
#> 948          1        2        2       1 1.3171479 0.598231728      1
#> 949          1        2        1       0 1.6693102 0.482184875      1
#> 950          1        2        2       1 0.9820095 1.374536063      2
#> 951          1        2        2       1 1.6107478 0.659995414      1
#> 952          1        2        1       0 1.3838259 0.166781359      1
#> 953          1        2        2       1 4.5129834 0.181734694      1
#> 954          1        2        2       1 5.0151691 0.123992632      1
#> 955          1        2        2       1 1.5087272 0.170019050      1
#> 956          1        2        2       1 2.1002881 0.583072343      1
#> 957          1        2        2       1 1.4138057 0.539539210      1
#> 958          1        2        2       1 2.1223221 0.758804101      1
#> 959          1        2        2       1 3.3008004 0.498813003      1
#> 960          1        2        2       1 1.1220252 0.929175768      2
#> 961          1        2        2       1 1.6561513 0.256938467      1
#> 962          1        2        2       1 3.6172844 0.084268269      1
#> 963          1        2        2       1 1.7908333 0.436373389      1
#> 964          1        2        2       1 1.0946634 1.901327140      3
#> 965          1        2        2       1 0.9571896 0.430785818      1
#> 966          1        2        2       1 1.8211028 0.715944334      1
#> 967          1        2        2       1 0.9089728 0.625912167      1
#> 968          1        2        2       1 2.6003521 0.146637407      1
#> 969          1        2        2       1 2.4138549 0.596647865      1
#> 970          1        2        2       1 1.1108338 0.497191129      1
#> 971          1        2        2       1 1.0492319 0.327978369      1
#> 972          1        2        2       1 1.5302352 0.811467515      2
#> 973          1        2        1       0 1.7750999 0.058720589      1
#> 974          1        2        2       1 1.2021138 0.771373828      1
#> 975          1        2        2       1 0.9647485 1.114442776      2
#> 976          1        2        2       1 1.2409895 1.085866286      2
#> 977          1        2        1       0 4.8345194 0.543287478      1
#> 978          1        2        2       1 2.1186190 1.402846461      2
#> 979          1        2        2       1 2.2626083 0.175787394      1
#> 980          1        2        1       0 1.0438423 1.030087405      2
#> 981          1        2        2       1 1.4463812 0.141717274      1
#> 982          1        2        2       1 1.6595715 0.451268969      1
#> 983          1        2        1       0 2.2489941 0.149632270      1
#> 984          1        2        2       1 0.7579846 1.119487859      2
#> 985          1        2        2       1 1.8299911 0.318260456      1
#> 986          1        2        2       1 0.9151585 1.093502109      2
#> 987          1        2        2       1 1.7827302 0.027063884      1
#> 988          1        2        2       1 2.0672413 0.727794860      1
#> 989          1        2        2       1 1.2691675 0.908493369      2
#> 990          1        2        2       1 1.2045611 1.058360495      2
#> 991          1        2        2       1 0.7981860 1.591046936      3
#> 992          1        2        2       1 1.0903356 0.888681476      2
#> 993          1        2        2       1 2.2537600 0.121050425      1
#> 994          1        2        2       1 1.2038103 1.490090464      2
#> 995          1        2        1       0 1.1255143 0.582873842      1
#> 996          1        2        2       1 1.9662739 0.150955640      1
#> 997          1        2        2       1 1.6419399 0.619255525      1
#> 998          1        2        2       1 1.7714046 0.799557755      1
#> 999          1        2        2       1 1.2374632 1.395407946      2
#> 1000         1        2        2       1 3.0948596 0.074004253      1
#> 1001         1        2        2       1 1.4056353 0.596319613      1
#> 1002         1        2        2       1 1.3091336 1.135387668      2
#> 1003         1        2        2       1 1.7315683 0.945131932      2
#> 1004         1        2        2       1 0.5635286 2.257612132      3
#> 1005         1        2        2       1 3.5142697 0.223376449      1
#> 1006         1        2        2       1 1.3121385 0.812664868      2
#> 1007         1        2        1       0 1.1265926 0.462182429      1
#> 1008         1        2        1       0 1.0570021 0.107676566      1
#> 1009         1        2        1       0 2.5360986 0.003973438      1
#> 1010         1        2        2       1 1.9389993 1.105108419      2
#> 1011         1        2        2       1 1.4172228 0.739574101      1
#> 1012         1        2        2       1 1.4761369 0.405277951      1
#> 1013         1        2        1       0 0.9683392 0.010498487      1
#> 1014         1        2        2       1 0.9907123 0.204913833      1
#> 1015         1        2        2       1 1.2527967 0.772805112      1
#> 1016         1        2        2       1 2.6747112 0.498713175      1
#> 1017         1        2        2       1 2.4847539 0.973997064      2
#> 1018         1        2        1       0 0.8486965 0.775809474      1
#> 1019         1        2        2       1 1.7579201 0.172906030      1
#> 1020         1        2        2       1 2.3295243 0.579296865      1
#> 1021         1        2        2       1 1.2480561 0.348999901      1
#> 1022         1        2        2       1 2.2956344 0.138198846      1
#> 1023         1        2        2       1 1.3139565 0.032897312      1
#> 1024         1        2        2       1 1.3256463 0.630761938      1
#> 1025         1        2        2       1 1.0420608 1.079616762      2
#> 1026         1        2        1       0 2.0089964 0.029402717      1
#> 1027         1        2        2       1 1.0996076 1.006889625      2
#> 1028         1        2        2       1 2.2787081 0.923021109      2
#> 1029         1        2        1       0 1.9294898 0.715658520      1
#> 1030         1        2        2       1 1.3106326 0.493868300      1
#> 1031         1        2        1       0 1.2628559 0.980294326      2
#> 1032         1        2        2       1 1.1731850 1.009996655      2
#> 1033         1        2        2       1 4.4225405 0.150737850      1
#> 1034         1        2        2       1 0.9290143 0.841549078      2
#> 1035         1        2        2       1 1.7599877 0.286705909      1
#> 1036         1        2        2       1 1.1657651 0.449498405      1
#> 1037         1        2        1       0 1.2865523 0.892889916      2
#> 1038         1        2        1       0 1.6717101 0.514265765      1
#> 1039         1        2        2       1 1.6580949 0.053456632      1
#> 1040         1        2        2       1 1.3609006 1.613777866      3
#> 1041         1        2        1       0 2.4854298 0.011439279      1
#> 1042         1        2        2       1 2.2612962 0.926762110      2
#> 1043         1        2        1       0 2.6183107 0.088544700      1
#> 1044         1        2        2       1 1.1971295 0.521914943      1
#> 1045         1        2        1       0 1.5089312 0.297901851      1
#> 1046         1        2        2       1 1.2940256 1.527397370      3
#> 1047         1        2        1       0 2.7169505 0.337157369      1
#> 1048         1        2        2       1 2.2097037 0.640644324      1
#> 1049         1        2        2       1 1.8573017 0.736505726      1
#> 1050         1        2        2       1 2.3792331 0.339512451      1
#> 1051         1        2        1       0 1.2189136 0.002030374      1
#> 1052         1        2        1       0 1.3693905 0.632427623      1
#> 1053         1        2        1       0 1.4309370 0.149462063      1
#> 1054         1        2        2       1 1.2843068 1.218085252      2
#> 1055         1        2        2       1 1.2409890 1.084875947      2
#> 1056         1        2        2       1 0.6623855 2.973975437      3
#> 1057         1        2        2       1 1.3584813 0.669591366      1
#> 1058         1        2        2       1 2.1120135 1.281879589      2
#> 1059         1        2        2       1 1.2693844 0.214806789      1
#> 1060         1        2        1       0 2.9705317 0.007417111      1
#> 1061         1        2        2       1 2.3408739 0.426435716      1
#> 1062         1        2        2       1 2.6687154 0.155570396      1
#> 1063         1        2        2       1 1.4059349 0.467669743      1
#> 1064         1        2        1       0 1.7756880 0.466305503      1
#> 1065         1        2        1       0 1.7462576 0.179533613      1
#> 1066         1        2        2       1 2.6653192 0.792457860      1
#> 1067         1        2        2       1 1.8346671 1.586022465      3
#> 1068         1        2        2       1 3.0973719 0.431895914      1
#> 1069         1        2        2       1 1.0882570 1.065730733      2
#> 1070         1        2        1       0 1.2055879 0.099266910      1
#> 1071         1        2        2       1 1.6528378 0.818879223      2
#> 1072         1        2        1       0 1.8576523 0.164061981      1
#> 1073         1        2        1       0 1.4024262 0.319409022      1
#> 1074         1        2        2       1 5.1037263 0.001541083      1
#> 1075         1        2        2       1 1.3704911 0.450820399      1
#> 1076         1        2        2       1 1.0231355 1.422068755      2
#> 1077         1        2        2       1 1.9084810 0.643623862      1
#> 1078         1        2        2       1 1.8664625 0.317291799      1
#> 1079         1        2        2       1 2.7600813 0.426596761      1
#> 1080         1        2        1       0 2.3660932 0.042955497      1
#> 1081         1        2        1       0 2.4077289 0.276166766      1
#> 1082         1        2        2       1 1.3139097 1.116518165      2
#> 1083         1        2        2       1 1.2099745 0.834091893      2
#> 1084         1        2        2       1 1.1510809 0.871941998      2
#> 1085         1        2        2       1 1.8622007 0.676076935      1
#> 1086         1        2        2       1 1.0543830 1.093925731      2
#> 1087         1        2        2       1 1.5952638 0.041933599      1
#> 1088         1        2        2       1 0.8260967 1.572448112      3
#> 1089         1        2        2       1 2.8086108 0.186964436      1
#> 1090         1        2        2       1 1.0927782 0.442391008      1
#> 1091         1        2        2       1 1.6573553 0.581697262      1
#> 1092         1        2        2       1 1.4082782 0.418876471      1
#> 1093         1        2        2       1 1.7485039 0.029746974      1
#> 1094         1        2        2       1 1.1408828 0.407402674      1
#> 1095         1        2        1       0 2.5768013 0.191338285      1
#> 1096         1        2        2       1 1.4023146 0.766598369      1
#> 1097         1        2        1       0 1.7236461 0.495570448      1
#> 1098         1        2        2       1 3.1706023 0.276268086      1
#> 1099         1        2        1       0 0.7285805 1.628853905      3
#> 1100         1        2        2       1 1.5008540 0.575279259      1
#> 1101         1        2        2       1 1.2851958 0.920401386      2
#> 1102         1        2        1       0 0.7122006 0.822048510      2
#> 1103         1        2        2       1 1.6150888 0.363662028      1
#> 1104         1        2        2       1 0.9331841 1.827980450      3
#> 1105         1        2        2       1 1.8808796 0.161993978      1
#> 1106         1        2        2       1 2.1448999 0.585056343      1
#> 1107         1        2        2       1 1.3953169 0.716903613      1
#> 1108         1        2        2       1 1.1491417 0.642760723      1
#> 1109         1        2        2       1 0.9872281 0.443291377      1
#> 1110         1        2        2       1 1.8549389 0.764843664      1
#> 1111         1        2        1       0 2.2222673 0.592155528      1
#> 1112         1        2        2       1 2.2720519 1.066936356      2
#> 1113         1        2        2       1 1.8046855 0.048733914      1
#> 1114         1        2        2       1 2.0882272 0.453600214      1
#> 1115         1        2        2       1 1.3841786 0.093024258      1
#> 1116         1        2        2       1 1.9009758 0.245713904      1
#> 1117         1        2        2       1 2.7785936 0.954448736      2
#> 1118         1        2        2       1 0.6708912 0.890130113      2
#> 1119         1        2        2       1 0.9010791 1.328372534      2
#> 1120         1        2        2       1 1.7365389 0.340949691      1
#> 1121         1        2        2       1 2.3518365 1.040806186      2
#> 1122         1        2        2       1 2.6566825 0.485618401      1
#> 1123         1        2        2       1 1.2614866 0.961970238      2
#> 1124         1        2        2       1 1.8984602 0.652305699      1
#> 1125         1        2        2       1 2.5207466 0.395959990      1
#> 1126         1        2        2       1 1.4379983 1.240114116      2
#> 1127         1        2        2       1 2.8571436 0.271545754      1
#> 1128         1        2        2       1 1.5084446 0.250264542      1
#> 1129         1        2        2       1 1.5670930 1.485417569      2
#> 1130         1        2        2       1 1.5252321 0.441062851      1
#> 1131         1        2        1       0 3.2473739 0.149924169      1
#> 1132         1        2        2       1 1.0522412 1.766111942      3
#> 1133         1        2        2       1 0.6216720 0.761165460      1
#> 1134         1        2        2       1 2.2368824 0.132733719      1
#> 1135         1        2        2       1 1.9237378 1.137800538      2
#> 1136         1        2        1       0 2.0641420 0.199406301      1
#> 1137         1        2        2       1 2.4992110 0.588023557      1
#> 1138         1        2        2       1 1.5623274 0.451842652      1
#> 1139         1        2        1       0 1.1327566 0.251195184      1
#> 1140         1        2        2       1 0.9352807 1.522751910      3
#> 1141         1        2        2       1 0.7635669 1.332023202      2
#> 1142         1        2        1       0 3.7302563 0.410666405      1
#> 1143         1        2        1       0 2.7125449 0.063281381      1
#> 1144         1        2        2       1 3.2739630 0.903036473      2
#> 1145         1        2        1       0 1.3262082 0.450806098      1
#> 1146         1        2        1       0 1.8661266 1.073785119      2
#> 1147         1        2        2       1 1.2326068 1.281259739      2
#> 1148         1        2        2       1 1.3139691 0.649337888      1
#> 1149         1        2        1       0 2.1529145 0.223309629      1
#> 1150         1        2        1       0 2.2361719 0.101587177      1
#> 1151         1        2        2       1 1.7392144 0.834440884      2
#> 1152         1        2        2       1 2.2603669 0.556261226      1
#> 1153         1        2        2       1 1.7252497 0.310832011      1
#> 1154         1        2        2       1 2.3117227 0.262770515      1
#> 1155         1        2        1       0 1.9895915 0.116679783      1
#> 1156         1        2        1       0 1.2595526 0.076608583      1
#> 1157         1        2        1       0 3.2938962 0.523132774      1
#> 1158         1        2        2       1 0.9412318 1.045419658      2
#> 1159         1        2        1       0 1.8506327 0.191392863      1
#> 1160         1        2        2       1 2.0219406 0.519941202      1
#> 1161         1        2        2       1 2.6866642 0.324413010      1
#> 1162         1        2        2       1 1.9057180 0.091051692      1
#> 1163         1        2        2       1 1.0394396 0.986652129      2
#> 1164         1        2        1       0 1.9948627 0.106650223      1
#> 1165         1        2        2       1 1.2846028 0.522146080      1
#> 1166         1        2        1       0 3.7017227 0.022377134      1
#> 1167         1        2        2       1 1.2824330 0.955558074      2
#> 1168         1        2        2       1 1.5133675 1.206140236      2
#> 1169         1        2        2       1 1.1947257 0.305081453      1
#> 1170         1        2        2       1 2.0876165 0.652490941      1
#> 1171         1        2        1       0 1.5615615 0.312881939      1
#> 1172         1        2        1       0 2.1414921 0.432955173      1
#> 1173         1        2        2       1 1.6344781 1.325787975      2
#> 1174         1        2        2       1 1.5157331 1.813744785      3
#> 1175         1        2        2       1 1.7396660 0.506665136      1
#> 1176         1        2        2       1 1.0236882 1.728384439      3
#> 1177         1        2        1       0 1.8108307 0.105100099      1
#> 1178         1        2        2       1 1.1628450 0.834044000      2
#> 1179         1        2        2       1 0.6468129 1.281385777      2
#> 1180         1        2        2       1 1.0822153 1.830672084      3
#> 1181         1        2        2       1 1.7383315 0.924594024      2
#> 1182         1        2        2       1 1.7733855 0.789299536      1
#> 1183         1        2        2       1 2.2035379 0.615709286      1
#> 1184         1        2        1       0 2.2643390 0.181237786      1
#> 1185         1        2        2       1 1.2095070 0.682496544      1
#> 1186         1        2        1       0 1.3510468 0.066725533      1
#> 1187         1        2        2       1 1.9347866 0.560203004      1
#> 1188         1        2        2       1 2.0539720 0.567071364      1
#> 1189         1        2        2       1 1.7912782 0.415731229      1
#> 1190         1        2        2       1 1.4354363 1.791616916      3
#> 1191         1        2        1       0 2.8664046 0.072969952      1
#> 1192         1        2        2       1 1.3465844 1.844034215      3
#> 1193         1        2        2       1 1.3595796 0.495988560      1
#> 1194         1        2        2       1 1.4911412 1.403851822      2
#> 1195         1        2        2       1 1.8842480 1.203808269      2
#> 1196         1        2        2       1 1.5504564 0.954572032      2
#> 1197         1        2        2       1 1.0936200 0.687332722      1
#> 1198         1        2        2       1 1.2743694 1.022965028      2
#> 1199         1        2        2       1 1.5316889 1.007135887      2
#> 1200         1        2        1       0 2.1436669 0.450531851      1
#> 1201         2        2        2       1 1.5055943 1.716786744      3
#> 1202         2        2        2       1 0.9151841 0.219782509      1
#> 1203         2        2        2       1 1.4298686 0.792555624      1
#> 1204         2        2        2       1 2.0361090 0.634033038      1
#> 1205         2        2        2       1 1.1341671 0.911547550      2
#> 1206         2        2        2       1 0.4743796 2.494734176      3
#> 1207         2        2        2       1 1.3834901 0.838573644      2
#> 1208         2        2        2       1 0.5272554 1.174187276      2
#> 1209         2        2        2       1 3.5137762 0.728169343      1
#> 1210         2        2        2       1 1.2043184 0.946406485      2
#> 1211         2        2        2       1 1.0472890 0.462408374      1
#> 1212         2        2        2       1 0.9927440 0.794158969      1
#> 1213         2        2        2       1 0.9624319 0.798660641      1
#> 1214         2        2        2       1 1.6370286 1.991101382      3
#> 1215         2        2        1       0 1.2089362 0.601384312      1
#> 1216         2        2        2       1 1.4957568 0.382312918      1
#> 1217         2        2        2       1 0.8324322 1.092001959      2
#> 1218         2        2        2       1 1.5771674 0.304817340      1
#> 1219         2        2        2       1 1.0827492 1.762239018      3
#> 1220         2        2        2       1 1.5351651 1.926304587      3
#> 1221         2        2        2       1 0.6759190 1.494483834      2
#> 1222         2        2        2       1 1.0393224 0.558670540      1
#> 1223         2        2        2       1 0.9589328 0.470825742      1
#> 1224         2        2        2       1 1.1888926 1.411434348      2
#> 1225         2        2        2       1 1.6247283 0.020841057      1
#> 1226         2        2        2       1 1.1140462 1.630946012      3
#> 1227         2        2        2       1 0.9402614 0.576872362      1
#> 1228         2        2        2       1 0.8894643 1.596845647      3
#> 1229         2        2        2       1 0.9420286 1.989656449      3
#> 1230         2        2        2       1 1.1413731 0.909511650      2
#> 1231         2        2        2       1 1.0565432 0.053796349      1
#> 1232         2        2        2       1 1.0546735 1.267665446      2
#> 1233         2        2        2       1 0.6196237 1.576162044      3
#> 1234         2        2        2       1 0.7206937 1.876471348      3
#> 1235         2        2        2       1 1.5826278 0.520335625      1
#> 1236         2        2        2       1 0.8557028 0.616757742      1
#> 1237         2        2        1       0 1.1109607 0.078673657      1
#> 1238         2        2        2       1 1.7002174 1.846105552      3
#> 1239         2        2        2       1 0.5831901 1.724470314      3
#> 1240         2        2        2       1 1.4295392 0.210014405      1
#> 1241         2        2        2       1 2.2944320 0.377535666      1
#> 1242         2        2        2       1 1.0983697 1.194986381      2
#> 1243         2        2        2       1 2.9817648 1.150641497      2
#> 1244         2        2        2       1 1.8244935 0.829049968      2
#> 1245         2        2        2       1 0.9478535 1.558463793      3
#> 1246         2        2        2       1 0.5553340 1.590460811      3
#> 1247         2        2        2       1 1.1188612 0.928484929      2
#> 1248         2        2        2       1 1.8363898 0.192796664      1
#> 1249         2        2        1       0 1.1017197 0.341076735      1
#> 1250         2        2        2       1 1.0671462 1.072815020      2
#> 1251         2        2        2       1 0.9683243 1.364754766      2
#> 1252         2        2        2       1 0.5342682 1.949233538      3
#> 1253         2        2        1       0 1.3247307 0.251608989      1
#> 1254         2        2        2       1 1.1512078 1.373744082      2
#> 1255         2        2        1       0 1.1981102 0.757361565      1
#> 1256         2        2        2       1 1.0366236 1.034448815      2
#> 1257         2        2        2       1 1.0711514 0.969248380      2
#> 1258         2        2        2       1 0.8947728 0.680033889      1
#> 1259         2        2        2       1 1.0030825 0.563321036      1
#> 1260         2        2        1       0 1.7393577 0.073063429      1
#> 1261         2        2        2       1 1.2775479 0.834718912      2
#> 1262         2        2        2       1 1.1955725 0.467375284      1
#> 1263         2        2        2       1 3.1284191 0.418263682      1
#> 1264         2        2        2       1 0.7403671 1.249230783      2
#> 1265         2        2        2       1 0.2779735 2.195875830      3
#> 1266         2        2        2       1 0.7175019 0.783493231      1
#> 1267         2        2        2       1 2.7549490 1.012497057      2
#> 1268         2        2        2       1 2.2732293 0.238704857      1
#> 1269         2        2        2       1 1.4551954 1.300920197      2
#> 1270         2        2        2       1 0.9572692 1.094978311      2
#> 1271         2        2        1       0 1.7240010 0.297185161      1
#> 1272         2        2        2       1 1.3570131 0.829874800      2
#> 1273         2        2        2       1 0.6766638 1.318408121      2
#> 1274         2        2        2       1 1.3226769 0.964300100      2
#> 1275         2        2        2       1 1.8472095 1.328642659      2
#> 1276         2        2        2       1 0.8236647 1.219060701      2
#> 1277         2        2        2       1 0.7500838 1.994294079      3
#> 1278         2        2        2       1 1.5418880 0.110828004      1
#> 1279         2        2        2       1 0.9292630 0.742266306      1
#> 1280         2        2        2       1 1.4835227 1.227245725      2
#> 1281         2        2        2       1 1.1334551 1.621857383      3
#> 1282         2        2        2       1 0.9363682 0.556944670      1
#> 1283         2        2        2       1 1.4837485 0.638535134      1
#> 1284         2        2        2       1 1.0117558 1.612492230      3
#> 1285         2        2        2       1 1.3582107 1.699840023      3
#> 1286         2        2        2       1 1.1774277 0.152367046      1
#> 1287         2        2        2       1 1.1167908 2.046006655      3
#> 1288         2        2        2       1 2.4831530 0.062896670      1
#> 1289         2        2        2       1 0.9870755 1.201697446      2
#> 1290         2        2        2       1 1.5216111 0.273209550      1
#> 1291         2        2        2       1 1.2825742 0.210959957      1
#> 1292         2        2        2       1 1.9092126 1.102548698      2
#> 1293         2        2        1       0 1.4406997 0.500258445      1
#> 1294         2        2        2       1 0.9408605 0.780195408      1
#> 1295         2        2        2       1 0.6826523 2.073453229      3
#> 1296         2        2        2       1 1.9156093 0.743919099      1
#> 1297         2        2        2       1 1.7899680 0.967799503      2
#> 1298         2        2        2       1 0.5587265 0.905150438      2
#> 1299         2        2        2       1 0.6835713 1.190567991      2
#> 1300         2        2        2       1 1.4914232 1.966861227      3
#> 1301         2        2        2       1 1.9331332 1.179971731      2
#> 1302         2        2        2       1 2.4895036 0.688933127      1
#> 1303         2        2        2       1 0.5336623 1.023027042      2
#> 1304         2        2        2       1 1.1761597 0.542504790      1
#> 1305         2        2        2       1 0.7446377 0.963482929      2
#> 1306         2        2        2       1 1.0551437 1.217157341      2
#> 1307         2        2        2       1 0.7968080 1.332699418      2
#> 1308         2        2        1       0 1.0068397 0.347687653      1
#> 1309         2        2        1       0 1.7651944 0.212415712      1
#> 1310         2        2        2       1 0.4596169 1.222898457      2
#> 1311         2        2        2       1 1.4388467 0.908102124      2
#> 1312         2        2        2       1 2.2935749 0.621483185      1
#> 1313         2        2        2       1 2.2138011 0.307958506      1
#> 1314         2        2        2       1 1.0788194 1.208861396      2
#> 1315         2        2        2       1 0.4814098 0.913944487      2
#> 1316         2        2        2       1 0.8470400 1.483585190      2
#> 1317         2        2        2       1 1.2466833 1.312429386      2
#> 1318         2        2        2       1 1.6924848 0.534666992      1
#> 1319         2        2        2       1 2.6797015 0.347436641      1
#> 1320         2        2        2       1 1.8303588 0.980366842      2
#> 1321         2        2        2       1 0.9428923 0.768589902      1
#> 1322         2        2        2       1 1.4631302 1.203137587      2
#> 1323         2        2        2       1 1.6043644 0.262978595      1
#> 1324         2        2        2       1 1.6396187 0.948277724      2
#> 1325         2        2        2       1 0.5676763 0.846322025      2
#> 1326         2        2        2       1 0.9626111 1.744676345      3
#> 1327         2        2        2       1 1.2204007 1.804323054      3
#> 1328         2        2        2       1 1.6197925 0.812946936      2
#> 1329         2        2        2       1 1.6478861 0.457982124      1
#> 1330         2        2        2       1 0.9424215 0.869654618      2
#> 1331         2        2        2       1 3.2828692 0.211594452      1
#> 1332         2        2        2       1 0.5305083 1.841679462      3
#> 1333         2        2        2       1 0.4912448 1.691875134      3
#> 1334         2        2        2       1 0.9239374 1.000418593      2
#> 1335         2        2        2       1 1.8412989 0.480554996      1
#> 1336         2        2        2       1 1.5433832 1.090328188      2
#> 1337         2        2        2       1 0.7241419 1.622264163      3
#> 1338         2        2        2       1 0.6089260 1.568734846      3
#> 1339         2        2        2       1 1.8917777 0.817427379      2
#> 1340         2        2        2       1 1.1781314 1.843988974      3
#> 1341         2        2        2       1 1.8370938 0.164299636      1
#> 1342         2        2        2       1 2.3106422 0.221876685      1
#> 1343         2        2        2       1 0.3533425 2.660681998      3
#> 1344         2        2        2       1 0.3100045 2.684241605      3
#> 1345         2        2        2       1 0.7586941 1.288471078      2
#> 1346         2        2        2       1 0.7261649 1.428498732      2
#> 1347         2        2        2       1 1.4672956 0.900764835      2
#> 1348         2        2        2       1 0.9241138 0.982519831      2
#> 1349         2        2        2       1 0.5554078 1.993880638      3
#> 1350         2        2        1       0 0.8340835 0.595213152      1
#> 1351         2        2        2       1 0.6354213 1.283039185      2
#> 1352         2        2        1       0 2.3402138 0.039836019      1
#> 1353         2        2        2       1 0.8926722 1.509130993      3
#> 1354         2        2        2       1 0.7269393 0.506959960      1
#> 1355         2        2        2       1 1.0834571 1.440172332      2
#> 1356         2        2        2       1 1.5382625 1.050991787      2
#> 1357         2        2        2       1 0.8647331 1.003695505      2
#> 1358         2        2        2       1 1.3539504 0.788511618      1
#> 1359         2        2        2       1 1.9894604 0.765565865      1
#> 1360         2        2        2       1 1.3501425 0.540279424      1
#> 1361         2        2        2       1 1.0531398 1.356600556      2
#> 1362         2        2        2       1 0.8147181 0.553454365      1
#> 1363         2        2        2       1 1.7347455 1.231755756      2
#> 1364         2        2        1       0 1.1238960 0.435300090      1
#> 1365         2        2        2       1 0.8441656 2.294550247      3
#> 1366         2        2        2       1 0.5869475 2.024175043      3
#> 1367         2        2        2       1 1.0885351 0.282088586      1
#> 1368         2        2        2       1 1.3613185 1.203631528      2
#> 1369         2        2        2       1 0.7985817 1.298465460      2
#> 1370         2        2        2       1 1.0139747 1.983064113      3
#> 1371         2        2        2       1 0.8718111 1.292081674      2
#> 1372         2        2        2       1 0.7298472 1.857768006      3
#> 1373         2        2        2       1 1.1411338 1.702854814      3
#> 1374         2        2        2       1 0.6283743 2.071910008      3
#> 1375         2        2        2       1 0.9362082 1.033854330      2
#> 1376         2        2        2       1 1.1137690 1.244722471      2
#> 1377         2        2        2       1 1.6866124 0.637257267      1
#> 1378         2        2        2       1 1.8583699 0.117651532      1
#> 1379         2        2        2       1 1.0789637 0.719987058      1
#> 1380         2        2        2       1 1.1886531 1.432801726      2
#> 1381         2        2        2       1 1.0593415 0.954306400      2
#> 1382         2        2        2       1 1.2334911 0.717556090      1
#> 1383         2        2        2       1 1.5830366 0.306110219      1
#> 1384         2        2        1       0 1.4052449 0.079812657      1
#> 1385         2        2        2       1 0.6134805 1.063193010      2
#> 1386         2        2        2       1 0.9801455 1.170547324      2
#> 1387         2        2        2       1 1.3035600 0.046106053      1
#> 1388         2        2        2       1 1.1812448 0.186211133      1
#> 1389         2        2        2       1 2.8383624 0.069576153      1
#> 1390         2        2        2       1 1.0014950 0.761333104      1
#> 1391         2        2        1       0 0.9663529 0.365644338      1
#> 1392         2        2        2       1 0.8815587 1.265552763      2
#> 1393         2        2        2       1 0.6860742 0.897863111      2
#> 1394         2        2        2       1 1.0746493 1.364524271      2
#> 1395         2        2        2       1 0.8270948 0.828848649      2
#> 1396         2        2        2       1 2.1349058 0.570649600      1
#> 1397         2        2        2       1 0.7890410 1.535102208      3
#> 1398         2        2        2       1 1.9525588 0.632052000      1
#> 1399         2        2        2       1 1.2611183 0.112305787      1
#> 1400         2        2        2       1 1.5687231 1.256624358      2
#> 1401         2        2        2       1 1.1253488 0.134365337      1
#> 1402         2        2        2       1 1.1779623 1.186105047      2
#> 1403         2        2        2       1 0.6787373 1.856839307      3
#> 1404         2        2        2       1 1.1773681 1.104001754      2
#> 1405         2        2        2       1 1.2405468 1.338102705      2
#> 1406         2        2        2       1 1.9923372 0.123910625      1
#> 1407         2        2        2       1 0.9509019 1.170681007      2
#> 1408         2        2        2       1 2.0284259 0.788597100      1
#> 1409         2        2        2       1 1.0459189 1.273481362      2
#> 1410         2        2        2       1 0.4793487 0.988276561      2
#> 1411         2        2        2       1 1.9919863 0.296835269      1
#> 1412         2        2        2       1 0.8683522 0.564977285      1
#> 1413         2        2        2       1 0.9716259 0.176098602      1
#> 1414         2        2        2       1 1.3746918 0.788570426      1
#> 1415         2        2        2       1 0.9859646 0.565655345      1
#> 1416         2        2        2       1 1.3970178 0.586974281      1
#> 1417         2        2        2       1 0.5524179 1.205210107      2
#> 1418         2        2        2       1 0.9813485 0.650512337      1
#> 1419         2        2        2       1 1.6315371 1.504412696      3
#> 1420         2        2        2       1 1.5739645 1.305073392      2
#> 1421         2        2        2       1 0.9371982 1.352131028      2
#> 1422         2        2        2       1 0.6843515 1.129112550      2
#> 1423         2        2        2       1 0.6246058 1.572270020      3
#> 1424         2        2        2       1 0.7357220 2.179372494      3
#> 1425         2        2        2       1 0.8818017 1.575594190      3
#> 1426         2        2        2       1 1.2740137 1.026534926      2
#> 1427         2        2        2       1 1.2968758 0.756047455      1
#> 1428         2        2        2       1 1.3448758 0.310296869      1
#> 1429         2        2        2       1 1.6592455 0.674561264      1
#> 1430         2        2        2       1 2.1548583 0.619063494      1
#> 1431         2        2        2       1 1.9899440 0.955359139      2
#> 1432         2        2        2       1 1.3980111 1.207338457      2
#> 1433         2        2        2       1 1.4255407 1.279477750      2
#> 1434         2        2        2       1 0.9973342 1.245923525      2
#> 1435         2        2        2       1 1.2958904 1.221453899      2
#> 1436         2        2        2       1 1.0880550 0.628743541      1
#> 1437         2        2        2       1 0.8603171 1.390891173      2
#> 1438         2        2        2       1 0.6377653 0.891740267      2
#> 1439         2        2        2       1 0.7250767 1.570787605      3
#> 1440         2        2        2       1 1.8681596 0.569113491      1
#> 1441         2        2        2       1 1.8269411 0.269167111      1
#> 1442         2        2        2       1 1.1261633 0.465291596      1
#> 1443         2        2        2       1 2.8788719 0.816717170      2
#> 1444         2        2        2       1 1.1386928 0.856832185      2
#> 1445         2        2        1       0 2.5127078 0.052011851      1
#> 1446         2        2        2       1 2.6251421 0.604231339      1
#> 1447         2        2        2       1 0.8931645 1.206466676      2
#> 1448         2        2        2       1 1.1171086 1.234105966      2
#> 1449         2        2        2       1 1.4593998 0.402956783      1
#> 1450         2        2        2       1 1.1885476 0.526664630      1
#> 1451         2        2        2       1 1.7465162 0.296041918      1
#> 1452         2        2        2       1 0.8383574 1.189456690      2
#> 1453         2        2        2       1 0.9097501 1.023969990      2
#> 1454         2        2        2       1 1.2297121 1.108694669      2
#> 1455         2        2        2       1 0.6300651 0.656643233      1
#> 1456         2        2        2       1 0.9999566 0.963314228      2
#> 1457         2        2        2       1 2.4854724 1.946692426      3
#> 1458         2        2        2       1 1.0200823 1.786236225      3
#> 1459         2        2        2       1 1.1195783 0.337587418      1
#> 1460         2        2        2       1 1.9670143 1.082089026      2
#> 1461         2        2        2       1 3.2821178 0.195902521      1
#> 1462         2        2        2       1 1.5515470 0.457944781      1
#> 1463         2        2        2       1 1.0241185 1.187553069      2
#> 1464         2        2        2       1 2.9155031 0.522152896      1
#> 1465         2        2        2       1 0.9533114 1.153663921      2
#> 1466         2        2        2       1 1.3882937 0.748282352      1
#> 1467         2        2        2       1 1.2196951 0.651395606      1
#> 1468         2        2        2       1 2.6321667 0.598754833      1
#> 1469         2        2        2       1 1.0146774 1.768447875      3
#> 1470         2        2        2       1 1.4392577 1.217450703      2
#> 1471         2        2        2       1 1.3202189 0.720894856      1
#> 1472         2        2        2       1 1.3315891 1.929997677      3
#> 1473         2        2        2       1 0.7232945 1.995539100      3
#> 1474         2        2        2       1 1.3940686 0.775507383      1
#> 1475         2        2        2       1 1.0307650 0.860538651      2
#> 1476         2        2        1       0 2.0509510 0.490796540      1
#> 1477         2        2        2       1 1.0527251 0.693336098      1
#> 1478         2        2        2       1 2.6327885 0.463270443      1
#> 1479         2        2        2       1 1.3627528 1.253646767      2
#> 1480         2        2        2       1 1.3885168 0.572051479      1
#> 1481         2        2        2       1 1.9284808 0.131264813      1
#> 1482         2        2        2       1 0.4535081 1.977751601      3
#> 1483         2        2        2       1 1.9027701 0.448635802      1
#> 1484         2        2        2       1 1.1592631 1.267480777      2
#> 1485         2        2        2       1 0.6363847 1.751411569      3
#> 1486         2        2        2       1 0.7493299 0.308808697      1
#> 1487         2        2        2       1 0.5713762 1.578803924      3
#> 1488         2        2        2       1 0.5386498 0.772310139      1
#> 1489         2        2        2       1 0.9572936 1.261917382      2
#> 1490         2        2        2       1 0.4969444 1.744753162      3
#> 1491         2        2        2       1 1.7499814 0.473280769      1
#> 1492         2        2        2       1 1.4962096 0.238893706      1
#> 1493         2        2        2       1 1.4583630 1.020391078      2
#> 1494         2        2        2       1 1.2083743 0.324261977      1
#> 1495         2        2        2       1 1.0888389 1.841089378      3
#> 1496         2        2        2       1 1.9136390 0.230119849      1
#> 1497         2        2        2       1 1.0343408 0.282640060      1
#> 1498         2        2        2       1 1.1639332 0.571297945      1
#> 1499         2        2        2       1 1.2344498 1.336615534      2
#> 1500         2        2        2       1 1.9874479 0.233994958      1
#> 1501         2        2        2       1 0.5969158 1.255769583      2
#> 1502         2        2        2       1 1.1611739 1.207711847      2
#> 1503         2        2        2       1 1.1527973 1.141923625      2
#> 1504         2        2        2       1 1.5097278 1.428326951      2
#> 1505         2        2        1       0 1.1412793 0.385157906      1
#> 1506         2        2        2       1 0.8709334 1.324649147      2
#> 1507         2        2        2       1 1.1029530 1.426810529      2
#> 1508         2        2        2       1 1.9548807 0.235022161      1
#> 1509         2        2        2       1 0.9394649 1.024328958      2
#> 1510         2        2        2       1 1.5853711 1.271343913      2
#> 1511         2        2        2       1 0.4442549 2.269219201      3
#> 1512         2        2        2       1 0.6948793 0.762300154      1
#> 1513         2        2        2       1 0.8078033 0.804729833      2
#> 1514         2        2        2       1 1.9210055 0.045104602      1
#> 1515         2        2        2       1 1.1288328 0.693406604      1
#> 1516         2        2        2       1 1.0915509 1.306991261      2
#> 1517         2        2        2       1 0.7464028 1.151154796      2
#> 1518         2        2        2       1 0.4241522 1.769664272      3
#> 1519         2        2        2       1 2.0595420 0.070770080      1
#> 1520         2        2        2       1 0.5220166 1.975408892      3
#> 1521         2        2        2       1 0.8005746 0.973488776      2
#> 1522         2        2        2       1 1.3204039 0.224922712      1
#> 1523         2        2        2       1 1.1226696 0.822204321      2
#> 1524         2        2        2       1 1.3133524 0.432926723      1
#> 1525         2        2        2       1 0.6142548 1.962152252      3
#> 1526         2        2        2       1 0.8623941 1.076453939      2
#> 1527         2        2        2       1 0.7675348 0.918807104      2
#> 1528         2        2        2       1 1.4803134 0.850758334      2
#> 1529         2        2        2       1 0.7912468 1.753900002      3
#> 1530         2        2        2       1 0.9186669 1.454881620      2
#> 1531         2        2        2       1 0.8125700 1.907345419      3
#> 1532         2        2        2       1 1.0494215 0.287897905      1
#> 1533         2        2        2       1 1.5661523 1.078079489      2
#> 1534         2        2        2       1 0.9779800 1.057619283      2
#> 1535         2        2        2       1 0.9858365 1.695228162      3
#> 1536         2        2        2       1 0.5488024 1.471231976      2
#> 1537         2        2        2       1 1.6672155 0.389784537      1
#> 1538         2        2        2       1 0.3274982 2.104326287      3
#> 1539         2        2        2       1 0.9317784 0.616251490      1
#> 1540         2        2        2       1 2.5022613 0.123265331      1
#> 1541         2        2        2       1 1.6692082 0.744985025      1
#> 1542         2        2        2       1 0.9092079 1.698889942      3
#> 1543         2        2        2       1 0.6312497 1.087688790      2
#> 1544         2        2        2       1 0.6050290 1.657511281      3
#> 1545         2        2        2       1 0.9016881 1.445518244      2
#> 1546         2        2        1       0 0.9911568 0.193045711      1
#> 1547         2        2        2       1 1.1817348 0.476924826      1
#> 1548         2        2        2       1 0.8215538 1.576940093      3
#> 1549         2        2        2       1 0.7397256 1.550523193      3
#> 1550         2        2        2       1 1.6604951 0.288760299      1
#> 1551         2        2        2       1 2.8266487 0.017573957      1
#> 1552         2        2        2       1 1.8157765 0.281890341      1
#> 1553         2        2        2       1 0.9433577 1.195173214      2
#> 1554         2        2        2       1 2.9644081 0.283933044      1
#> 1555         2        2        2       1 0.8675627 0.331282072      1
#> 1556         2        2        2       1 1.4259008 0.737940439      1
#> 1557         2        2        2       1 2.0225447 0.497351078      1
#> 1558         2        2        1       0 1.2961015 0.071065395      1
#> 1559         2        2        2       1 1.1845983 0.947773575      2
#> 1560         2        2        2       1 1.4099438 1.435453818      2
#> 1561         2        2        2       1 1.5192664 0.974841460      2
#> 1562         2        2        1       0 1.1510454 0.148984128      1
#> 1563         2        2        2       1 1.3287662 1.258624602      2
#> 1564         2        2        2       1 1.1907946 1.228232162      2
#> 1565         2        2        2       1 1.0647931 0.941957225      2
#> 1566         2        2        2       1 0.7592127 1.355607092      2
#> 1567         2        2        2       1 0.8534541 1.071329424      2
#> 1568         2        2        2       1 2.5166117 0.091424204      1
#> 1569         2        2        2       1 1.0768373 1.223738175      2
#> 1570         2        2        2       1 0.6625572 1.270892319      2
#> 1571         2        2        2       1 1.9105430 0.399142075      1
#> 1572         2        2        1       0 1.2560269 0.225865967      1
#> 1573         2        2        2       1 1.3979896 0.376913591      1
#> 1574         2        2        2       1 0.5093979 2.320927246      3
#> 1575         2        2        2       1 1.0567959 0.966490694      2
#> 1576         2        2        2       1 1.4143970 1.471133352      2
#> 1577         2        2        2       1 0.7412927 2.072246241      3
#> 1578         2        2        2       1 1.1475843 1.586093504      3
#> 1579         2        2        2       1 0.8741877 1.424099192      2
#> 1580         2        2        2       1 0.9719783 0.450893193      1
#> 1581         2        2        2       1 0.7741258 1.482690965      2
#> 1582         2        2        2       1 1.5526288 1.525056612      3
#> 1583         2        2        2       1 2.1198287 0.017657153      1
#> 1584         2        2        2       1 1.2054276 1.226470191      2
#> 1585         2        2        2       1 0.7138922 1.673330311      3
#> 1586         2        2        2       1 0.9868327 1.112815395      2
#> 1587         2        2        2       1 1.0007747 1.315622331      2
#> 1588         2        2        2       1 1.2167490 0.136544335      1
#> 1589         2        2        2       1 1.2414077 0.756801168      1
#> 1590         2        2        2       1 2.8803658 0.554635203      1
#> 1591         2        2        2       1 0.9320909 1.008290455      2
#> 1592         2        2        2       1 1.6242621 1.106095751      2
#> 1593         2        2        2       1 1.3479724 0.169123000      1
#> 1594         2        2        2       1 0.9218243 0.326862260      1
#> 1595         2        2        2       1 2.0889186 0.944039067      2
#> 1596         2        2        2       1 0.7751124 1.334362055      2
#> 1597         2        2        2       1 0.6331524 2.360260805      3
#> 1598         2        2        2       1 1.8859416 0.609260138      1
#> 1599         2        2        2       1 0.7963244 2.489180902      3
#> 1600         2        2        2       1 1.4799099 1.610455125      3
#> 
#> $gamma
#> $gamma$condition
#> # A tibble: 2 × 2
#>   correct  Gamma
#>     <dbl>  <dbl>
#> 1       0 -0.581
#> 2       1  0.430
#> 
#> $gamma$rt
#> # A tibble: 2 × 2
#>   correct  Gamma
#>     <dbl>  <dbl>
#> 1       0 -0.555
#> 2       1 -0.547
#> 
#> $gamma$correct
#> # A tibble: 2 × 2
#>   condition Gamma
#>       <int> <dbl>
#> 1         1 0.770
#> 2         2 0.975
#> 
#> $gamma$rt_bycondition
#> # A tibble: 2 × 2
#>   condition  Gamma
#>       <int>  <dbl>
#> 1         1 -0.556
#> 2         2 -0.489
#> 
#> $gamma$rt_byconditionbycorrect
#> # A tibble: 4 × 3
#>   condition correct   Gamma
#>       <int>   <dbl>   <dbl>
#> 1         1       0 -0.645 
#> 2         1       1 -0.535 
#> 3         2       0  0.0952
#> 4         2       1 -0.483 
#> 
#> 
# }

# 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,
                          s1=0.5, s2=0.5, rho=0.2,
                          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 0.5779173 1.6740727      3
#> 2         1        1        1       1 1.2819034 0.3705010      1
#> 3         1        1        1       1 1.3291772 0.5004981      2
#> 4         1        1        1       1 2.1619971 0.3630607      1
#> 5         1        1        1       1 1.2035659 1.3037903      3
#> 6         1        1        1       1 0.8965865 0.8046391      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,
                           s1=0.5, s2=0.5, rho=0.2,
                           theta1=0.8, theta2=1.5)

simus_multi <- simulateMTLNR(paramDf_multi, n = 1000)
table(simus_multi$condition, simus_multi$correct)
#>    
#>        0    1
#>   1  636 1364
#>   2  329 1671
#>   3   60 1940