Long-term stochastic growth rate worker function for the xsdm model
Source:R/like_neg_ltsgr.R
like_neg_ltsgr.RdComputes the negative of the long-term stochastic growth rate, plus
log(lambda_max), for the xsdm model, for each location. This is the
fast version of a worker function that relies on C++ code, optimized using
RcppParallel. The legacy pure-R reference is preserved as
xsdm:::like_neg_ltsgr_r for testing and comparison.
Usage
like_neg_ltsgr(
env_dat,
mu,
sigltil,
sigrtil,
o_mat,
num_threads = RcppParallel::defaultNumThreads()
)Arguments
- env_dat
The environmental data array, dimensions (number of locations) x (time series length) x (number of environmental variables). Must not contain missing values.
- mu
Vector of optimal environmental values. Length
p=dim(env_dat)[3]. Unconstrained real numbers.- sigltil
Vector specifying width of the growth-environment function. Length
p=dim(env_dat)[3]. Positive real numbers,Infentries also allowed.- sigrtil
Vector specifying width of the growth-environment function. Length
p=dim(env_dat)[3]. Positive real numbers,Infentries also allowed.- o_mat
An orthogonal matrix, dimensions
pbyp.- num_threads
Number of threads for parallel computation. Defaults to
RcppParallel::defaultNumThreads().
Details
Internally, this function:
Reshapes the environmental data into a matrix.
Computes inverse (diagonal) matrices for asymmetry adjustments.
Calls the C++ function
like_ltsg()for efficient likelihood computation.
Note
Ensure that env_dat has no missing values. The parameter vectors
mu, sigltil, and sigrtil must have length equal to the
number of environmental variables (p). The argument o_mat must
be a p x p orthogonal matrix (i.e., o_mat %*% t(o_mat) is
the identity).
Examples
# Example usage:
like_neg_ltsgr(env_dat = example_1$env_array,
mu = example_1$true_par_list$mu,
sigltil = example_1$true_par_list$sigltil,
sigrtil = example_1$true_par_list$sigrtil,
o_mat = example_1$true_par_list$o_mat)
#> [1] 2.738171 8.535266 8.374321 7.154807 8.444485 3.477033
#> [7] 3.272479 8.034020 5.494181 3.406080 3.894184 8.221686
#> [13] 7.075254 5.269100 4.288629 3.740807 6.999191 4.930312
#> [19] 6.834511 2.327886 2.074068 4.776596 2.464446 6.709562
#> [25] 8.304522 3.820160 8.435004 5.298979 6.876833 4.155158
#> [31] 6.926461 6.161269 4.097653 5.102134 4.291076 6.345642
#> [37] 4.245375 3.341317 8.660052 6.664898 2.810356 5.362398
#> [43] 6.999660 7.627527 4.651365 5.483883 4.516378 5.404858
#> [49] 3.790042 6.025831 8.251108 6.783180 7.984423 4.287914
#> [55] 3.056667 6.856656 8.214739 7.498210 5.261167 5.338618
#> [61] 8.011760 5.193644 4.798711 8.416415 7.293172 3.600957
#> [67] 4.264491 8.319323 6.217450 4.367401 5.124876 1.979788
#> [73] 7.917596 6.576324 3.495894 5.479428 7.474645 6.975485
#> [79] 3.053595 3.440059 4.145340 4.927784 3.322202 4.472423
#> [85] 6.570589 7.014075 5.538776 2.680407 4.693739 6.103064
#> [91] 6.448714 2.783318 5.408007 8.305771 3.643784 6.221024
#> [97] 6.240697 7.991659 5.309896 3.645075 4.120219 8.335431
#> [103] 5.147934 3.522013 8.410355 4.912260 4.622131 5.170946
#> [109] 7.813666 7.410260 7.780804 7.690245 4.278769 4.433976
#> [115] 6.439727 4.491546 5.024642 2.591280 7.766783 5.951452
#> [121] 6.646883 7.701346 3.647620 7.711426 4.535503 6.205746
#> [127] 4.217129 6.303538 4.647464 8.543404 7.927106 7.634204
#> [133] 6.767605 5.450163 5.276290 8.677979 4.104554 6.750432
#> [139] 5.101582 3.535671 4.327127 3.899442 2.513490 6.251582
#> [145] 4.136154 8.488412 7.446858 2.584259 6.671945 3.851036
#> [151] 7.779567 8.397149 3.530302 5.730067 7.852212 4.845694
#> [157] 4.944500 5.696837 8.223739 4.374859 5.328191 7.272478
#> [163] 3.679817 6.775375 8.134278 5.630475 7.462363 8.346814
#> [169] 5.211055 5.127361 4.745629 7.709655 6.691052 2.921612
#> [175] 6.464432 8.342831 3.845642 8.447241 6.873000 5.316705
#> [181] 6.203020 2.769259 7.306254 2.951352 8.288232 3.652701
#> [187] 6.782896 7.864908 6.941641 7.954834 7.279754 7.033723
#> [193] 3.971800 3.557843 3.819581 5.665545 8.269367 8.213562
#> [199] 4.699454 5.075297 7.673952 2.967565 5.479933 3.740539
#> [205] 7.866173 5.794756 3.110880 6.288045 4.136789 5.034436
#> [211] 3.201250 3.983400 7.933329 6.077172 7.230290 6.730007
#> [217] 5.377706 5.802934 3.670574 2.933928 5.957608 7.205059
#> [223] 3.711949 6.983483 3.239194 6.335887 3.289620 6.014989
#> [229] 4.945292 3.322412 3.503462 7.155621 5.889508 3.292937
#> [235] 8.294997 2.559470 3.128033 3.970428 5.658968 5.905711
#> [241] 2.615392 2.456258 3.667483 5.087955 7.433216 7.586851
#> [247] 7.706441 5.496604 6.784210 4.197012 3.969127 7.780620
#> [253] 4.569003 3.739359 7.585584 6.283181 2.361769 7.290611
#> [259] 6.927343 7.520906 8.527811 6.068080 7.204822 4.434878
#> [265] 2.492797 8.022582 8.027586 4.773539 6.594982 2.860595
#> [271] 7.013509 8.685222 6.542163 2.561165 2.586524 6.109590
#> [277] 2.760930 8.026780 3.050958 1.844593 8.163568 3.374663
#> [283] 6.314393 7.206267 5.450465 6.726003 7.282657 7.573248
#> [289] 4.536227 7.985194 4.070292 4.351968 5.404378 5.499150
#> [295] 5.836856 6.364855 3.162164 5.752320 6.161986 7.273024
#> [301] 5.235339 8.622596 2.973380 3.124899 2.943223 6.379983
#> [307] 6.403187 7.425073 8.422545 5.931950 6.899647 6.816617
#> [313] 6.971037 3.377473 4.321292 3.693707 4.793186 3.900874
#> [319] 2.681686 8.605958 4.206489 7.616487 7.673731 7.714181
#> [325] 6.153605 4.510407 2.689889 6.279882 4.343616 6.426235
#> [331] 6.087054 3.416215 7.227908 4.843000 2.985486 2.792633
#> [337] 3.307358 7.258635 7.551705 3.969658 4.025248 5.751400
#> [343] 2.035704 6.497565 7.933129 5.234216 5.687010 2.539760
#> [349] 5.279772 5.829322 6.294680 3.272314 7.152536 6.923463
#> [355] 6.968193 6.619868 3.948832 8.679205 6.135075 5.950581
#> [361] 3.456851 4.783452 3.620395 4.837772 6.228984 3.439286
#> [367] 6.268120 3.927663 2.447301 7.229603 7.322477 3.821366
#> [373] 7.705315 8.036480 5.540306 7.080314 5.447749 5.095901
#> [379] 2.527407 6.584077 3.508366 4.682486 4.101918 3.799091
#> [385] 4.973119 3.985040 3.729906 5.554829 7.094541 8.019271
#> [391] 2.329663 6.167402 5.599354 3.247175 5.518319 8.286294
#> [397] 8.671559 8.665080 3.020188 4.232752 3.451821 3.451614
#> [403] 8.401605 2.717455 7.915186 6.504449 2.680351 7.584430
#> [409] 8.101095 7.715503 7.358174 3.877302 3.030461 2.558614
#> [415] 6.942178 4.847294 4.189646 3.237823 5.282576 3.985766
#> [421] 2.112286 7.474094 3.878193 5.340085 6.494366 4.547283
#> [427] 5.160111 6.072133 2.160651 3.737604 4.948909 1.936117
#> [433] 7.845225 2.615043 5.006440 6.472571 8.186124 4.570254
#> [439] 8.066034 3.448542 7.934359 7.895704 6.997027 7.890756
#> [445] 6.198348 3.660974 4.823904 7.650551 7.833773 4.227792
#> [451] 6.156741 4.733819 8.015880 4.603286 3.545889 6.032412
#> [457] 4.575272 6.251188 7.822554 4.084764 5.621771 3.505276
#> [463] 4.075021 5.244029 7.060772 5.471940 6.861719 4.819562
#> [469] 2.956816 7.756185 8.016243 2.872487 4.123046 2.986877
#> [475] 6.151864 5.009757 7.639867 3.309031 3.169437 6.796955
#> [481] 5.730892 3.721554 8.480516 6.774152 4.392391 3.517795
#> [487] 6.480300 6.207808 4.784948 2.357236 4.293837 5.003840
#> [493] 8.260322 6.167962 6.685890 5.986726 4.439560 5.268185
#> [499] 3.692445 4.995306 8.440351 6.064291 7.957908 5.430812
#> [505] 7.770940 8.281199 3.646238 6.410633 7.655068 5.583325
#> [511] 7.590048 5.729619 3.557723 5.335095 3.581894 3.319113
#> [517] 6.545221 7.913582 8.127177 5.752468 7.685988 5.670282
#> [523] 4.941975 5.848321 3.864835 3.503714 3.982686 7.273977
#> [529] 3.939822 4.406699 5.671054 7.422249 3.043856 5.786128
#> [535] 2.259710 5.274936 5.710916 5.117274 5.661057 4.056405
#> [541] 4.590258 7.912187 4.334486 7.912549 2.525762 8.063547
#> [547] 4.318433 4.853824 4.865807 7.624448 5.712030 5.489711
#> [553] 3.967668 4.848766 6.506274 5.443358 8.577216 7.635640
#> [559] 5.873814 6.744487 4.973482 2.775246 8.286285 7.922041
#> [565] 8.471732 4.307777 8.196540 6.993114 4.157498 7.781853
#> [571] 7.558540 3.075448 4.393681 7.980965 4.469846 4.658037
#> [577] 5.480192 3.430931 4.090203 3.912564 2.638866 3.212021
#> [583] 5.162167 5.341303 5.499401 5.847025 4.660721 3.823180
#> [589] 5.767246 7.377622 2.930334 3.374140 5.982484 2.714523
#> [595] 7.547959 7.244319 5.609992 4.784291 6.344278 7.084156
#> [601] 4.802776 4.274909 6.449187 3.427608 3.693117 4.069509
#> [607] 5.456143 3.669372 5.619555 5.913603 8.476933 3.498282
#> [613] 5.432434 8.408024 8.596682 3.182762 4.300191 6.159364
#> [619] 4.843586 4.841264 5.370967 3.821050 4.362531 7.689048
#> [625] 6.665243 7.154496 4.033387 3.555588 4.593265 3.377781
#> [631] 6.919569 7.298779 5.422203 4.555155 6.737008 4.172477
#> [637] 2.553697 6.720496 4.164538 2.596982 8.347730 2.785452
#> [643] 8.259568 4.302055 2.352061 4.563356 4.646854 6.553449
#> [649] 7.443764 7.206827 6.304581 4.618992 3.244508 8.018727
#> [655] 4.766374 4.769661 5.961189 4.817558 7.126731 4.181735
#> [661] 6.490961 5.532172 7.067334 3.295478 7.676368 2.496864
#> [667] 5.300190 4.988234 7.448746 7.893728 6.219486 6.874343
#> [673] 5.505493 7.168542 8.511330 3.726587 3.764189 5.913508
#> [679] 4.939287 3.778838 4.851821 8.122428 2.916222 6.696599
#> [685] 6.428615 4.561121 5.282771 6.382401 4.725508 6.023216
#> [691] 4.346883 3.913192 5.304983 6.179082 6.734587 4.982478
#> [697] 5.648537 5.677169 3.188524 8.595754 5.435996 7.867928
#> [703] 6.716072 8.012291 6.670052 4.191274 5.503510 4.450612
#> [709] 6.247518 3.287386 3.797807 2.658075 3.285803 6.342421
#> [715] 5.439417 6.993322 6.756449 4.612762 3.195821 5.302823
#> [721] 5.575945 5.568095 7.792703 6.585643 7.483930 4.074094
#> [727] 5.666728 7.088191 3.122774 6.049405 2.409910 4.090649
#> [733] 4.903148 7.570804 8.474624 4.770945 4.154927 5.334148
#> [739] 6.734582 4.504836 4.523618 3.278765 5.442380 3.066054
#> [745] 5.866659 6.170346 3.808898 6.223310 7.027555 8.021163
#> [751] 7.068678 4.851655 7.773158 7.231622 8.090406 3.312508
#> [757] 8.166651 8.480308 3.025115 5.567738 7.806375 8.507377
#> [763] 4.539791 3.231424 2.704578 7.825126 6.217286 6.713378
#> [769] 5.634191 6.494820 3.397384 4.868878 3.726779 5.389809
#> [775] 4.076884 4.277643 3.672147 3.998512 8.021931 7.838774
#> [781] 3.904019 5.091911 6.722692 6.083745 5.248950 8.037602
#> [787] 3.238276 5.888718 4.236371 5.590665 8.668876 3.990844
#> [793] 4.194881 8.379268 3.494161 3.836587 7.120971 7.651745
#> [799] 5.233000 7.799905 4.267790 4.726320 7.565624 2.667601
#> [805] 4.301659 5.626010 3.534682 7.736772 2.358384 6.294209
#> [811] 2.887388 4.085603 2.767285 3.562569 2.754517 4.961691
#> [817] 5.095786 6.523526 8.224669 6.337783 8.053719 4.533643
#> [823] 3.175342 2.494171 5.932482 8.085847 4.204271 5.116782
#> [829] 2.709875 5.831805 2.735037 7.964228 6.569012 8.115789
#> [835] 3.135490 8.110443 7.832184 3.689198 7.191854 3.034071
#> [841] 2.842213 7.979132 3.830341 5.214407 3.381384 8.616595
#> [847] 5.219445 8.271040 3.862106 7.888417 6.245119 4.562539
#> [853] 3.699590 2.962022 7.240975 7.161624 5.060736 7.313176
#> [859] 3.288401 5.885004 4.564450 7.303013 6.814671 8.475478
#> [865] 7.860754 8.451341 4.688513 4.678283 5.727080 5.170603
#> [871] 4.291227 6.475604 2.603295 2.760989 7.459558 8.102027
#> [877] 7.461878 2.410126 7.807386 7.194237 6.086081 3.552605
#> [883] 7.114467 7.744252 8.519727 8.272525 5.014570 4.142912
#> [889] 4.224112 6.343662 2.820095 2.939107 5.143522 8.191626
#> [895] 7.272415 4.223209 7.604237 7.504105 4.957457 2.690517
#> [901] 4.707225 5.840925 6.673861 7.387350 3.126374 6.841601
#> [907] 8.469149 5.023942 6.834962 8.106575 6.921475 3.870649
#> [913] 5.548968 7.394421 7.157734 3.242620 4.951736 4.804114
#> [919] 6.130948 6.544578 4.533288 5.959637 8.362821 4.600947
#> [925] 6.755693 2.414515 4.478275 3.900118 6.463981 6.301487
#> [931] 5.571437 8.191842 8.676462 8.067420 2.158200 5.778746
#> [937] 5.974072 6.132136 8.461567 3.152480 7.282938 6.736813
#> [943] 6.954803 5.222599 8.590609 8.580312 6.749103 4.947143
#> [949] 5.073389 4.508214 8.585070 3.383786 7.074032 4.921445
#> [955] 4.155504 5.249568 6.704727 4.163071 4.054647 5.207599
#> [961] 5.223112 6.998289 3.515707 6.064597 7.702133 8.125316
#> [967] 8.536342 6.053649 3.477018 6.206682 6.722753 2.224025
#> [973] 8.178045 4.694019 8.346858 6.135494 3.704659 5.976697
#> [979] 5.085363 3.403459 8.200203 5.356457 6.778927 4.348040
#> [985] 6.057429 4.620366 7.120062 3.405037 2.839946 2.746828
#> [991] 2.727760 3.774420 3.470485 3.305958 4.103848 5.966980
#> [997] 7.354790 6.200861 4.372938 7.222016 7.995522 2.706947
#> [1003] 5.657081 7.401345 5.180398 6.017615 3.397586 3.838543
#> [1009] 3.307787 3.724071 4.864723 8.434487 3.470315 2.221633
#> [1015] 5.291677 4.677225 6.028211 8.593110 3.175965 8.499105
#> [1021] 8.478475 7.085858 4.073289 8.657515 4.282575 4.028622
#> [1027] 2.480990 7.586578 4.139562 3.200358 5.155334 8.022828
#> [1033] 3.960390 3.780269 8.667614 8.385096 8.607728 8.591794
#> [1039] 5.421297 5.397384 7.761876 5.952748 2.583469 3.831588
#> [1045] 8.374650 8.218285 3.749434 2.872873 7.308798 8.289128
#> [1051] 8.216007 5.660529 8.062701 7.871427 7.349598 7.606838
#> [1057] 8.378988 6.421674 6.442160 6.725342 6.499535 5.917280
#> [1063] 7.511881 6.785173 5.170750 5.050956 4.664727 7.380811
#> [1069] 6.599963 4.220824 6.574463 8.131187 6.929954 3.010809
#> [1075] 5.410238 6.390481 3.090726 3.521142 5.864787 8.399053
#> [1081] 5.146584 3.115164 7.786884 7.777974 7.078851 6.944879
#> [1087] 5.328855 5.598021 3.689548 5.751970 7.624694 7.375325
#> [1093] 8.318286 7.113092 3.795615 5.720884 3.330763 5.135225
#> [1099] 7.433924 6.436189 3.499733 6.407128 3.527132 4.261679
#> [1105] 8.200243 7.436496 5.884981 5.818474 3.214951 2.911497
#> [1111] 7.444661 3.338303 8.544388 3.384265 6.328935 7.463535
#> [1117] 2.707121 8.138389 2.718702 5.612178 4.285213 3.885040
#> [1123] 3.217582 4.595973 3.357771 4.668416 4.714070 3.329627
#> [1129] 6.255171 3.250422 6.792938 4.970029 6.992931 8.052975
#> [1135] 8.434174 5.006356 4.567673 2.656590 2.052505 5.623835
#> [1141] 4.736700 5.225845 3.326151 5.385088 6.092414 4.702879
#> [1147] 4.383010 2.966236 7.639685 5.980486 7.461214 3.645708
#> [1153] 4.737205 2.019887 8.580695 6.665618 6.299538 3.101122
#> [1159] 3.653575 2.747576 7.087695 6.686088 7.159726 6.589873
#> [1165] 4.615975 7.699686 7.103967 8.582476 2.993424 3.762590
#> [1171] 5.092544 2.747470 4.703475 8.600092 4.408565 5.324506
#> [1177] 8.324865 4.010067 7.045706 2.495274 4.268073 6.553449
#> [1183] 4.699161 6.141461 3.733548 6.921081 7.167500 5.260439
#> [1189] 3.020323 7.027039 8.582762 4.055621 7.205496 6.228757
#> [1195] 8.498027 3.515893 5.464716 4.983289 7.179643 3.493865
#> [1201] 5.427163 8.055494 7.842102 5.207980 2.739558 4.182599
#> [1207] 3.897595 6.621798 5.774103 8.108964 6.626362 3.184283
#> [1213] 6.190446 4.582555 7.796147 5.600708 5.053921 5.048948
#> [1219] 7.824117 3.027946 4.861814 5.391532 7.955225 5.204822
#> [1225] 8.645558 3.972073 7.733587 5.407027 3.629083 4.631664
#> [1231] 4.677387 3.039714 6.103555 6.411985 3.117300 6.210034
#> [1237] 7.593603 7.385015 5.499364 7.157728 7.929159 4.298047
#> [1243] 6.374831 3.492197 2.707568 5.192167 3.450740 5.069526
#> [1249] 2.994888 5.014392 5.580315 8.443390 6.388729 4.689204
#> [1255] 7.584902 4.066775 7.449966 2.520724 7.062368 7.199670
#> [1261] 7.263620 3.116505 4.997896 1.997175 5.051030 4.279090
#> [1267] 5.356132 3.791777 6.143416 8.115884 7.929082 7.003615
#> [1273] 6.733263 4.934277 6.385127 8.024584 6.579481 6.182975
#> [1279] 5.077234 3.600283 7.880312 3.515523 2.784094 8.649873
#> [1285] 6.532410 8.268666 6.753092 3.134213 5.103976 4.831819
#> [1291] 5.001506 8.099398 3.799173 7.028379 3.616465 6.303974
#> [1297] 5.892544 5.771123 5.484970 3.336990 2.442142 6.380442
#> [1303] 5.486077 6.440498 7.830177 3.597067 5.110941 3.150174
#> [1309] 3.460901 5.782609 5.905815 2.884812 8.539653 6.069464
#> [1315] 5.574730 4.216050 6.649858 5.537416 4.908490 7.565509
#> [1321] 4.001298 3.523788 7.709303 6.167361 7.757152 3.364267
#> [1327] 7.989933 8.103349 8.393792 3.880307 4.259917 5.610198
#> [1333] 5.939607 2.874106 5.161961 3.084476 3.541698 5.983427
#> [1339] 3.305192 7.062382 8.383849 6.312975 5.185237 3.705460
#> [1345] 5.359076 7.074372 3.712219 5.774309 4.015924 6.900965
#> [1351] 5.048162 7.507350 8.407535 3.404963 4.701133 4.639239
#> [1357] 7.855582 5.946391 8.311488 5.294310 7.969380 5.489818
#> [1363] 4.666057 5.110654 5.549308 8.453464 4.073787 6.308936
#> [1369] 3.375351 4.334426 7.417192 5.328752 8.203106 3.126129
#> [1375] 4.714439 6.047819 3.271284 4.841475 6.185101 3.094741
#> [1381] 5.273980 6.786864 5.688143 6.142299 7.099397 5.447591
#> [1387] 2.708801 5.370271 3.483947 6.596456 3.183036 4.200981
#> [1393] 8.082005 8.475528 5.202435 7.457621 7.169441 7.757026
#> [1399] 7.804030 6.875893 5.683311 7.622484 4.181562 8.404038
#> [1405] 6.554315 8.056132 5.472600 3.588997 5.157280 5.071423
#> [1411] 6.242202 6.267557 5.027541 6.790209 5.809742 5.195028
#> [1417] 8.653050 4.947723 5.312708 3.078897 6.561312 5.622764
#> [1423] 8.444220 8.422796 3.345116 6.922942 4.552223 2.995395
#> [1429] 5.779763 4.580608 2.372507 2.777688 8.167705 7.462094
#> [1435] 6.528297 7.427563 3.453970 4.724074 7.525885 8.596874
#> [1441] 3.275816 5.542566 6.091589 5.212785 2.422029 3.852957
#> [1447] 4.308306 5.607879 2.317805 7.958173 4.548817 6.618372
#> [1453] 3.493687 3.960206 6.142874 4.386309 4.892176 2.872400
#> [1459] 3.324640 7.394688 7.988043 2.965375 1.926234 4.713117
#> [1465] 2.418845 6.723739 7.807502 5.084494 8.132952 7.770551
#> [1471] 6.947474 6.491695 3.442680 7.789901 7.291153 5.855414
#> [1477] 5.439613 5.832337 8.098033 2.651232 2.461777 7.084812
#> [1483] 5.372123 6.559981 5.738617 3.102216 6.495852 6.148476
#> [1489] 2.925299 5.685233 5.968438 5.744250 4.927237 6.954032
#> [1495] 4.851439 3.496134 6.134233 7.180180 7.486868 7.123895
#> [1501] 3.600819 7.463669 7.611982 6.913005 6.020763 8.406499
#> [1507] 8.366950 4.005938 3.029608 8.075166 7.735008 3.220802
#> [1513] 7.438807 3.918075 4.882952 6.041438 6.447468 7.606291
#> [1519] 6.631856 2.885369 6.207476 4.605052 5.161524 8.369215
#> [1525] 8.462632 5.681607 7.511520 7.066230 4.506690 8.465844
#> [1531] 7.379651 7.035396 4.736381 7.436013 6.141569 8.672552
#> [1537] 8.401464 6.157741 2.404245 5.997320 5.296319 5.048998
#> [1543] 4.682357 4.013185 5.680281 3.818874 7.074763 6.910908
#> [1549] 3.434490 4.108423 3.674738 5.819609 5.462443 7.605317
#> [1555] 3.463841 6.284573 5.774066 5.945263 3.417574 5.244412
#> [1561] 7.031786 4.054288 4.983005 8.383029 3.804539 4.919287
#> [1567] 3.345260 5.153427 7.781386 6.929798 7.920586 2.413942
#> [1573] 7.772086 5.774754 6.083392 3.684691 6.302229 3.985111
#> [1579] 2.804628 8.131075 5.646549 7.597837 8.072224 6.831816
#> [1585] 8.280306 2.745323 8.108678 3.615241 3.546137 3.735960
#> [1591] 3.278781 5.658764 3.053661 6.735989 5.012276 7.585056
#> [1597] 6.407779 7.693560 5.667522 8.390397 6.600109 4.323266
#> [1603] 3.587504 3.457487 8.579661 5.571464 6.841271 8.257442
#> [1609] 6.555964 5.500250 5.159479 6.642817 8.269812 7.529613
#> [1615] 5.806236 2.146022 7.197179 8.249122 5.188054 5.027513
#> [1621] 4.043686 4.989440 8.176165 3.611606 7.287544 4.838891
#> [1627] 7.957141 8.046192 3.923782 4.746346 5.759484 2.699770
#> [1633] 6.894886 5.776611 3.758877 8.350999 6.214009 4.982026
#> [1639] 5.777626 6.998908 6.297229 6.078838 8.446107 3.848147
#> [1645] 6.909680 6.816737 8.599369 4.620082 6.823321 5.688064
#> [1651] 8.209079 3.835937 7.785986 7.495871 3.338369 3.007907
#> [1657] 3.481462 3.274610 7.740601 7.607018 8.350273 4.018617
#> [1663] 4.686334 3.705337 6.328251 2.983106 7.573269 4.308838
#> [1669] 8.595109 5.394256 8.507963 6.054456 6.927444 6.850989
#> [1675] 2.751096 5.960060 3.434915 5.359558 7.508456 3.520063
#> [1681] 6.720215 6.927523 4.328956 5.198368 7.542512 2.495729
#> [1687] 7.330701 3.817522 7.681492 5.878555 5.657894 5.227938
#> [1693] 5.212661 4.931369 8.191861 4.986764 3.202317 7.112227
#> [1699] 6.368802 6.466335 4.524100 8.544431 6.349496 5.726599
#> [1705] 6.003285 6.859443 7.163393 8.432526 6.694062 6.074015
#> [1711] 3.545512 7.964937 6.713246 3.472913 5.854436 3.783799
#> [1717] 5.111266 8.043918 6.902310 5.249138 3.083687 6.361188
#> [1723] 8.491980 5.978200 4.787552 4.177960 5.417662 6.779988
#> [1729] 7.155442 2.743534 5.192749 6.640334 7.131507 3.413446
#> [1735] 5.620328 3.174648 3.783612 1.968028 6.277021 3.470196
#> [1741] 4.503302 6.873081 3.547828 7.825469 5.278206 5.601873
#> [1747] 6.716790 7.780396 4.928149 2.817033 7.759968 5.619550
#> [1753] 6.504367 6.971950 6.086410 3.685212 5.721177 4.423524
#> [1759] 6.355705 8.592941 2.908463 4.236645 7.722776 8.384522
#> [1765] 6.457321 3.994591 5.161659 4.732223 7.011291 6.376558
#> [1771] 8.372960 7.116385 5.385134 6.131482 6.202068 6.229191
#> [1777] 2.820421 6.115697 3.178949 5.976989 7.834478 7.426534
#> [1783] 6.236316 8.611529 8.081423 6.412783 5.509415 8.196256
#> [1789] 3.517921 2.453921 8.176636 4.426919 8.450843 5.527404
#> [1795] 5.201377 5.977052 4.878783 4.347502 6.824898 3.798096
#> [1801] 3.186223 5.929647 5.124010 3.241811 5.205021 7.554283
#> [1807] 5.723836 8.092929 6.236936 3.670086 5.343188 3.931252
#> [1813] 2.183416 6.253494 6.001313 5.204241 5.220890 8.005666
#> [1819] 4.044443 5.593127 7.865249 3.407620 1.940691 8.489842
#> [1825] 4.780678 6.727413 3.068674 6.891960 3.951163 6.657840
#> [1831] 3.806635 7.449326 8.597254 8.636239 5.196852 3.816216
#> [1837] 7.485464 2.076168 3.543315 8.008195 6.441080 7.214987
#> [1843] 5.783396 3.558558 8.077792 7.337559 8.349176 6.951736
#> [1849] 6.909446 3.783044 3.867708 4.371238 7.640298 5.665346
#> [1855] 4.253664 4.025155 4.395697 3.041226 7.451819 3.441233
#> [1861] 3.787534 8.112392 6.793874 4.646338 6.468677 8.586126
#> [1867] 4.935040 3.757863 4.742488 7.133235 6.330346 5.822988
#> [1873] 2.555803 6.299370 6.206327 5.408041 3.387633 5.930480
#> [1879] 8.087597 6.319847 3.458757 6.807023 4.834653 8.076926
#> [1885] 6.254258 4.139674 7.153080 3.268945 7.926810 3.127225
#> [1891] 3.133203 6.476832 6.433513 5.916463 5.390871 4.784970
#> [1897] 7.045862 4.784961 4.527763 6.890810 6.009854 8.288781
#> [1903] 4.015584 7.472357 6.454181 4.123732 4.823305 4.465200
#> [1909] 6.376796 3.014555 3.509238 7.876996 3.483332 6.197027
#> [1915] 6.333534 7.225783 3.376553 3.832799 4.448279 6.282072
#> [1921] 7.361032 5.636042 5.482426 2.105748 4.499770 8.180170
#> [1927] 6.674421 2.926363 5.020392 4.539283 3.421941 7.616601
#> [1933] 5.699925 8.503687 3.635933 3.699650 6.557659 5.498680
#> [1939] 7.723716 6.396277 3.680480 6.810858 7.730696 7.370135
#> [1945] 3.870136 4.105451 5.771486 8.668953 3.903307 5.233055
#> [1951] 5.459142 5.219018 4.260367 4.013386 3.562066 7.347813
#> [1957] 5.218653 7.675246 5.824734 6.604248 5.338551 6.743196
#> [1963] 3.962226 5.844991 7.051908 4.649572 4.779830 5.758537
#> [1969] 6.867807 7.440447 4.903929 6.509121 6.614310 5.497818
#> [1975] 7.450721 3.489468 4.836186 4.625556 2.528956 5.880124
#> [1981] 4.456655 6.349494 3.516633 4.478827 4.884793 8.482451
#> [1987] 8.011468 7.464561 5.461835 6.093477 6.784848 5.308867
#> [1993] 3.872026 7.234663 4.464410 7.872009 3.205257 3.164172
#> [1999] 2.768413 4.801355 154.076562 32.882480 39.650246 168.452324
#> [2005] 32.336118 133.505014 116.236703 164.275208 10.302307 23.182107
#> [2011] 18.303494 118.835582 79.511904 149.671324 64.350268 103.672729
#> [2017] 12.511115 147.573640 46.672173 53.839048 26.418543 92.524802
#> [2023] 230.114940 78.821087 106.359676 151.915839 22.873309 42.393949
#> [2029] 223.482574 85.205291 39.881223 77.472228 158.143607 52.164714
#> [2035] 220.705964 61.591464 228.322653 82.984131 140.115244 54.316219
#> [2041] 13.102101 31.052638 64.421223 8.937439 209.671067 31.100199
#> [2047] 39.146534 55.741050 11.360833 35.514097 119.781738 131.873352
#> [2053] 69.775067 48.958797 31.410147 69.903374 203.615864 127.572331
#> [2059] 38.914976 164.181761 76.596551 126.396800 225.448392 21.718713
#> [2065] 149.014855 127.799359 106.083141 13.260995 204.917371 12.819252
#> [2071] 102.781606 28.232552 144.869760 22.285557 170.223541 135.026595
#> [2077] 38.488565 15.959510 9.345202 42.329395 37.912546 23.596385
#> [2083] 149.314952 12.477588 200.096907 55.908873 62.453531 177.598911
#> [2089] 55.473457 98.457499 78.672187 11.478368 90.735475 106.042726
#> [2095] 97.965816 10.356139 64.606468 41.026468 29.562949 31.326077
#> [2101] 212.672571 63.758068 42.982379 11.978354 69.500426 13.235843
#> [2107] 25.640863 91.505031 52.212973 253.248861 12.725523 16.366176
#> [2113] 30.127403 18.936151 12.845181 35.557482 55.309795 54.864215
#> [2119] 82.701441 10.350165 109.008806 60.795060 63.931769 166.154613
#> [2125] 39.148977 77.190633 40.148516 88.564451 8.980168 208.835525
#> [2131] 208.812033 63.633639 9.611855 188.173077 61.417834 148.886613
#> [2137] 12.567574 17.389876 225.480140 44.243052 72.597687 181.207886
#> [2143] 31.991009 153.126909 114.829394 76.032437 72.103371 10.969269
#> [2149] 43.766223 27.625758 232.846291 163.601308 83.945223 202.571325
#> [2155] 113.076150 77.989017 98.877636 16.135282 216.167906 118.410641
#> [2161] 16.675325 147.049063 142.967188 17.574603 100.287484 109.480162
#> [2167] 211.518349 146.297950 62.618993 152.611091 162.425022 310.610995
#> [2173] 51.202174 45.265681 165.805983 237.105954 92.748215 150.434127
#> [2179] 44.775901 60.657683 62.176385 59.175852 45.496223 81.759649
#> [2185] 127.415450 107.326792 62.324835 17.074980 48.522836 79.964352
#> [2191] 17.556749 242.074109 140.682413 170.253307 95.505635 148.977705
#> [2197] 105.299978 253.462590 52.455110 88.842722 116.697816 10.213970
#> [2203] 64.125117 27.601072 25.545121 85.777306 14.630599 76.208696
#> [2209] 112.566942 73.309609 16.108280 18.936025 208.933223 14.820267
#> [2215] 10.062612 12.138097 95.138470 124.890633 191.022151 88.576046
#> [2221] 12.902614 69.112295 135.451453 11.766577 27.014286 118.984894
#> [2227] 33.823334 61.166881 81.881092 30.126628 108.401833 26.900205
#> [2233] 111.308531 61.589119 12.785022 227.752118 18.661311 178.340813
#> [2239] 18.092527 14.223519 55.853563 179.836237 126.252244 81.843300
#> [2245] 84.555010 138.057987 14.008696 140.792981 140.621149 134.557104
#> [2251] 70.143872 156.828862 44.198791 43.948879 12.360672 180.173039
#> [2257] 18.624620 38.755207 42.337596 113.541162 16.115008 82.975719
#> [2263] 15.425706 16.830989 194.377553 215.679175 71.387338 233.364618
#> [2269] 130.956281 129.217216 115.337884 10.598255 25.359491 9.523961
#> [2275] 218.345331 27.483969 148.897155 48.021472 59.019204 134.989699
#> [2281] 24.602201 73.825870 55.164716 16.124882 124.020306 22.680300
#> [2287] 25.517230 89.579122 90.018523 230.872894 54.558407 38.142823
#> [2293] 37.848559 20.437951 187.666285 17.752486 145.184853 90.620335
#> [2299] 69.840921 8.745705 45.584177 29.031389 13.958709 274.491124
#> [2305] 63.317092 22.881456 181.161969 10.960545 35.729473 256.564413
#> [2311] 12.416847 258.305157 11.291199 152.034668 22.074334 103.459260
#> [2317] 269.664648 31.968967 44.345203 23.891353 20.528778 149.138337
#> [2323] 140.471613 200.192921 99.601462 104.846366 11.528106 165.617538
#> [2329] 37.566316 37.611385 13.594388 10.758762 153.335775 143.003002
#> [2335] 92.536130 125.860343 19.954939 13.585757 124.701098 211.025640
#> [2341] 161.200235 33.137915 223.925618 66.335436 49.892296 267.652892
#> [2347] 89.863668 173.894192 46.651793 16.047725 63.282501 29.451052
#> [2353] 82.830963 71.475776 149.369218 23.280427 168.475673 28.796809
#> [2359] 39.647002 152.907289 74.988999 36.172461 49.292779 84.350898
#> [2365] 77.781814 32.885278 109.392459 202.582011 81.548532 18.428257
#> [2371] 60.940227 20.213592 108.423592 109.665258 21.437592 12.552733
#> [2377] 37.865603 35.184271 21.775005 9.846209 16.096827 151.457649
#> [2383] 108.705292 94.530884 45.193439 12.745698 282.571380 153.136703
#> [2389] 10.284517 67.681873 23.721978 57.599029 142.079716 168.511358
#> [2395] 18.024400 84.805838 107.193636 16.968533 148.660636 157.221335
#> [2401] 198.741577 144.816015 48.732654 219.867520 29.745290 141.824815
#> [2407] 71.291070 42.055118 187.225305 59.900378 22.890617 34.978914
#> [2413] 21.755125 190.841922 190.714843 141.385633 93.200203 134.138175
#> [2419] 157.481004 56.791996 10.332770 29.744489 219.319696 69.374491
#> [2425] 29.499319 26.073931 143.276964 108.369647 115.044091 218.688318
#> [2431] 26.416474 52.776237 51.153329 44.862285 66.173158 58.600662
#> [2437] 11.542021 173.491037 70.041381 191.506414 62.605071 80.161892
#> [2443] 187.560217 154.882067 20.169166 124.461475 31.064838 34.238138
#> [2449] 107.795346 224.667615 213.213798 25.551434 218.519586 90.316735
#> [2455] 66.783240 38.755100 12.205615 168.755807 19.104891 81.227670
#> [2461] 10.911247 32.110822 83.282169 74.027890 115.548282 25.278305
#> [2467] 79.876908 108.465255 79.464602 192.582070 207.361562 96.213102
#> [2473] 115.357328 14.094587 123.322697 122.639214 206.856621 148.467519
#> [2479] 66.007289 18.351226 119.729687 87.261560 124.413923 64.570101
#> [2485] 15.771503 122.692997 9.001439 35.201833 15.635592 105.414613
#> [2491] 137.778545 101.478350 29.306799 27.356122 53.064636 137.376067
#> [2497] 51.665064 141.990311 10.127638 17.850085 160.754013 85.875856
#> [2503] 136.956240 120.822628 9.554166 138.754003 209.823752 10.684250
#> [2509] 15.388836 116.197058 208.937893 74.526302 76.302953 54.291139
#> [2515] 72.953247 200.482610 26.648626 124.669142 12.875356 9.280997
#> [2521] 23.674265 92.484952 84.340736 114.490041 108.923777 19.981750
#> [2527] 94.310969 210.973059 16.809861 23.250871 105.968486 230.082387
#> [2533] 22.743568 250.866781 140.933565 15.719761 262.395990 169.208930
#> [2539] 219.912178 142.281542 219.190644 15.580995 14.012132 37.343877
#> [2545] 63.639610 65.016218 189.490667 85.639758 16.661627 138.074116
#> [2551] 91.921263 82.115861 13.878375 9.666904 119.713437 193.835578
#> [2557] 84.295310 12.793018 17.878251 105.840782 12.122056 15.546201
#> [2563] 25.676198 38.858755 116.111038 139.480290 97.259919 52.535683
#> [2569] 29.945014 28.755541 19.912823 24.873872 12.591304 243.801449
#> [2575] 13.055508 70.918166 128.621218 90.879980 115.272101 155.100086
#> [2581] 160.019731 169.992474 14.009220 31.032208 39.125368 170.018630
#> [2587] 97.954287 91.005131 29.765715 32.133761 63.848096 20.142543
#> [2593] 155.449465 171.080929 216.721014 101.362165 49.272809 231.872627
#> [2599] 30.701848 124.475695 52.468914 77.281820 36.320144 18.158675
#> [2605] 192.662189 121.027354 20.528218 16.506379 26.221307 121.498258
#> [2611] 117.749395 125.977086 49.929214 48.986594 202.513999 77.044517
#> [2617] 159.980653 12.532021 263.959195 140.421995 19.383628 238.134975
#> [2623] 170.706356 11.146177 31.837851 36.611048 57.439440 36.705199
#> [2629] 29.240928 163.377387 31.081293 10.339027 216.788527 78.434542
#> [2635] 23.711523 48.702919 17.077268 86.079245 132.111502 9.122157
#> [2641] 216.450639 42.194621 119.688627 73.343673 159.435329 107.378469
#> [2647] 62.462645 12.102365 99.974170 59.188735 79.231262 87.838500
#> [2653] 28.884888 30.083790 13.877581 181.561927 24.184260 225.723021
#> [2659] 223.455217 77.119111 12.928600 113.101009 86.787866 150.089881
#> [2665] 215.235371 60.004139 149.866678 138.433963 13.946052 36.701881
#> [2671] 62.119633 29.518649 28.262600 19.271252 130.301868 24.887602
#> [2677] 71.680353 73.448890 18.986801 162.888107 202.491657 110.090238
#> [2683] 58.334058 183.503905 64.133707 24.098444 101.722262 259.615873
#> [2689] 85.922950 83.167774 122.848071 24.188175 193.057932 8.955880
#> [2695] 9.912721 61.147618 84.161401 119.603108 81.171760 198.952989
#> [2701] 72.139746 26.754117 197.435311 68.975740 201.045883 36.016446
#> [2707] 197.594480 102.656865 31.514803 14.988095 102.764202 59.599638
#> [2713] 212.952083 79.658237 13.596424 146.552474 42.220152 61.651832
#> [2719] 19.880286 243.167110 79.990226 11.472969 195.843554 55.374391
#> [2725] 149.042934 131.850386 20.055065 179.611502 160.638197 26.130656
#> [2731] 116.132845 33.271842 9.656835 41.480844 39.892594 80.044060
#> [2737] 25.283638 80.182027 18.653606 142.794717 210.564723 11.712403
#> [2743] 200.862810 13.380111 204.561663 184.915765 45.442006 197.476321
#> [2749] 63.789058 61.058657 31.844044 164.993260 13.416768 73.456211
#> [2755] 24.134148 132.004558 130.772739 9.208825 15.861593 44.881412
#> [2761] 41.362995 40.727153 32.312274 192.218087 51.263095 85.509356
#> [2767] 120.254971 14.452578 9.398924 174.314440 9.324438 23.021518
#> [2773] 218.186525 67.556407 119.426553 13.593059 215.278900 15.009678
#> [2779] 86.352460 22.182753 180.247046 113.230180 88.487788 62.048716
#> [2785] 33.192107 137.968953 104.781034 215.593341 12.745118 74.144577
#> [2791] 71.545276 21.908615 162.849340 36.214311 10.231953 35.844183
#> [2797] 143.475325 49.160585 108.271582 59.207984 148.935559 162.276507
#> [2803] 147.944919 166.430711 21.947854 136.319447 38.208498 126.234875
#> [2809] 49.354717 168.804040 40.721103 69.599717 51.616707 179.214871
#> [2815] 198.204176 268.601546 14.358410 64.047622 22.437071 96.061234
#> [2821] 96.159479 181.359764 165.431236 68.432824 46.501839 172.702931
#> [2827] 9.955260 90.230161 114.395685 12.442247 48.275699 92.006809
#> [2833] 15.307298 65.510711 171.298615 196.966770 13.200982 88.088799
#> [2839] 69.869936 144.389315 149.517112 71.920993 50.213569 106.019246
#> [2845] 171.390234 93.910101 33.698164 120.036256 55.046983 166.219138
#> [2851] 73.473693 119.450740 72.308059 124.306251 91.569091 208.696546
#> [2857] 29.661005 13.977531 37.386190 194.360561 35.723293 163.193060
#> [2863] 224.141550 60.190071 156.976058 26.913413 55.613759 166.329438
#> [2869] 34.125454 100.495322 94.134603 8.857735 59.384115 199.156697
#> [2875] 10.511118 202.031979 82.676654 44.979149 171.779379 18.494579
#> [2881] 53.444694 220.915609 181.747057 12.784861 42.021752 126.913074
#> [2887] 82.936023 19.983003 33.410016 202.619250 12.335463 171.233511
#> [2893] 53.268115 95.651921 203.651387 40.228198 70.897964 104.012757
#> [2899] 55.002117 78.106082 14.676539 15.129834 13.039554 161.950750
#> [2905] 194.418487 25.150022 113.768943 135.265974 58.944680 95.366171
#> [2911] 131.099950 12.564249 22.425314 219.612973 86.515432 105.167489
#> [2917] 156.328776 240.990235 10.310547 23.801601 194.621995 126.619110
#> [2923] 68.885367 168.705935 10.022582 22.557299 81.018156 29.908764
#> [2929] 56.834667 11.451721 18.100315 58.204790 60.216572 28.130305
#> [2935] 65.779931 78.859015 141.260196 80.993004 209.066326 11.261992
#> [2941] 19.153266 216.175075 193.957378 98.919343 206.533552 122.626066
#> [2947] 60.397945 48.899638 203.691546 61.757859 28.658517 91.589711
#> [2953] 60.051449 108.206461 12.398535 81.349883 212.409742 30.991663
#> [2959] 108.312001 214.831666 13.975444 105.010421 141.209580 82.988349
#> [2965] 78.983136 119.240097 168.138152 50.872174 96.441831 13.775642
#> [2971] 20.034894 191.374075 142.665761 155.453887 142.589786 134.741343
#> [2977] 24.996395 177.743349 16.951348 37.018111 18.132455 78.682608
#> [2983] 39.022428 9.206625 38.909059 51.761874 239.169047 12.775150
#> [2989] 83.274740 25.452958 82.262659 17.229935 69.111805 221.005992
#> [2995] 27.417431 221.747448 29.944942 175.888819 106.958480 70.069846
#> [3001] 9.896206 184.551050 98.734258 158.401109 171.923089 234.568038
#> [3007] 209.455492 221.899075 21.895135 18.292559 34.041480 79.184638
#> [3013] 109.510619 13.790582 12.151920 18.428846 12.939560 82.039600
#> [3019] 24.614037 242.517948 128.250636 131.720873 11.036237 141.071434
#> [3025] 31.522428 13.294601 33.136043 35.265295 72.009880 35.118090
#> [3031] 16.242754 63.089520 397.083329 26.276310 14.589906 10.911882
#> [3037] 35.592697 22.303952 153.962985 96.827947 11.745348 75.479250
#> [3043] 12.897283 80.021180 214.514418 82.903772 136.274373 191.464720
#> [3049] 13.119423 225.751928 131.328164 35.955776 42.460441 25.415450
#> [3055] 12.579469 138.898062 239.385376 90.642704 27.115019 115.751424
#> [3061] 174.594740 56.752818 11.882172 142.247489 63.815769 177.467821
#> [3067] 194.486066 9.002444 26.999597 165.758001 186.171240 195.523355
#> [3073] 107.144313 21.786182 106.280623 21.066092 27.282580 20.798430
#> [3079] 29.445363 57.261802 92.690775 181.330484 22.495040 195.699574
#> [3085] 62.379089 74.732078 79.388815 23.056351 62.000785 21.891100
#> [3091] 112.469312 38.486977 30.767735 135.780182 64.566306 13.177163
#> [3097] 84.427976 81.226545 92.525118 85.389706 53.084051 72.272563
#> [3103] 14.886730 90.779649 20.169081 12.529356 70.287601 14.085123
#> [3109] 158.680641 160.298941 87.444988 203.138804 19.709072 68.576060
#> [3115] 80.766307 59.890891 27.551988 167.706780 233.876229 15.491457
#> [3121] 69.458519 132.502554 68.688728 206.295136 187.403205 137.486635
#> [3127] 139.738856 193.342600 80.244571 201.653620 128.603512 60.816869
#> [3133] 11.121091 23.084186 64.516610 16.416227 126.633953 204.404947
#> [3139] 150.470689 10.645325 125.249506 47.730806 62.957121 169.900046
#> [3145] 176.372877 18.751738 57.983573 124.123964 54.359748 15.803170
#> [3151] 81.625554 12.179816 23.318916 42.386068 57.860632 178.036512
#> [3157] 42.311077 21.120387 52.513517 212.492805 83.302094 15.660159
#> [3163] 204.988878 143.850629 90.844445 14.561585 52.761211 149.954476
#> [3169] 18.491219 101.108604 18.248526 88.200149 76.218710 44.033456
#> [3175] 85.751127 61.183676 66.474431 81.685945 143.240373 64.476061
#> [3181] 81.450597 123.198610 119.545481 84.816262 59.256104 54.495094
#> [3187] 104.836191 13.890432 10.884197 108.086266 72.065163 65.367847
#> [3193] 116.926160 69.026061 13.232624 63.293669 157.719997 108.855912
#> [3199] 43.187221 9.773203 15.753762 117.599410 170.284428 33.491748
#> [3205] 30.971698 184.936764 15.389758 142.792667 51.077064 27.968297
#> [3211] 17.181751 165.122872 102.644654 83.640040 75.535250 15.374440
#> [3217] 28.418696 97.114870 21.789229 165.690862 24.521675 29.180542
#> [3223] 10.914552 32.920721 37.025630 116.460914 86.478184 16.249239
#> [3229] 104.340548 155.358073 103.071976 64.794457 15.110476 10.418744
#> [3235] 95.606533 141.265108 133.879921 231.751294 10.092862 36.301960
#> [3241] 8.686763 265.491846 173.986604 17.383998 21.426732 187.616437
#> [3247] 174.155341 16.991164 11.883685 57.849294 25.574317 24.623387
#> [3253] 73.500435 157.302152 10.019308 35.088228 190.695322 52.497715
#> [3259] 132.529290 202.528885 14.232106 247.254319 212.452643 45.779159
#> [3265] 82.616280 56.117985 11.842699 114.721646 99.737233 27.020373
#> [3271] 37.752973 211.203488 13.284557 51.103854 95.774293 74.140380
#> [3277] 9.343942 93.079010 11.473282 28.283900 35.272375 28.220879
#> [3283] 44.888932 28.291196 63.778381 13.109644 121.480793 141.259411
#> [3289] 46.432613 88.237230 166.173146 114.455433 8.849066 53.078624
#> [3295] 186.969574 44.224414 43.891989 21.023973 65.429660 45.327794
#> [3301] 151.087029 134.890911 89.863936 9.844849 171.138503 156.855095
#> [3307] 178.948555 65.117515 21.538739 22.684720 143.815841 195.306689
#> [3313] 178.422059 143.839053 46.480912 14.222488 97.302070 12.787939
#> [3319] 24.961018 39.454000 10.239395 39.203078 37.397391 120.346680
#> [3325] 10.873483 63.396107 188.868340 21.115767 42.668539 11.286788
#> [3331] 48.433394 103.144669 114.553413 152.045084 9.715978 118.324601
#> [3337] 166.124204 21.315311 21.793013 32.856662 47.217298 35.130930
#> [3343] 15.298184 25.612432 168.924038 149.991150 179.618923 71.029661
#> [3349] 164.962214 31.175181 11.681469 36.458141 44.255607 26.545836
#> [3355] 13.118639 64.445599 56.095291 179.955486 118.305577 16.248109
#> [3361] 204.364571 45.782281 118.908617 228.655255 131.212304 18.563948
#> [3367] 46.890802 19.630686 9.644916 158.122068 134.446353 24.036956
#> [3373] 31.346702 227.026831 74.350833 91.480476 17.050296 53.929647
#> [3379] 9.515604 209.265528 99.536946 20.521860 49.436280 183.579453
#> [3385] 84.415037 34.976476 68.658613 102.340834 38.494028 11.242403
#> [3391] 25.319221 71.412615 71.680130 15.734552 101.897336 24.742484
#> [3397] 195.107046 88.409055 49.851588 62.406411 23.258551 64.157232
#> [3403] 17.639077 113.405893 58.495359 15.766317 52.408462 23.865328
#> [3409] 51.309730 22.630425 49.851450 82.028562 21.172338 159.972029
#> [3415] 25.388371 21.198508 42.180945 19.422063 96.369084 10.381823
#> [3421] 41.200757 17.530007 178.287254 43.106463 231.167314 169.963140
#> [3427] 103.053831 24.922236 109.590395 11.077866 226.815501 234.606003
#> [3433] 96.276364 89.043129 42.612844 92.629902 144.373682 10.566793
#> [3439] 162.154107 88.786994 172.496184 22.112979 244.697152 132.839329
#> [3445] 89.570719 81.320568 124.747497 34.519138 41.664352 209.047176
#> [3451] 12.296675 77.994330 8.933585 142.566109 77.631159 18.504304
#> [3457] 86.715730 149.764656 42.870176 34.276620 9.191538 93.219405
#> [3463] 154.095145 237.069236 9.127463 211.743827 13.374342 143.316867
#> [3469] 12.250839 137.897672 172.994833 188.524981 89.128949 141.453662
#> [3475] 205.354260 32.848726 174.911667 87.336584 53.363641 11.583969
#> [3481] 33.601750 86.019314 148.316350 8.790610 30.226102 54.448609
#> [3487] 10.703862 65.259777 115.708260 46.395747 17.617081 14.199530
#> [3493] 186.530664 44.836520 217.051310 184.048932 8.964830 10.472275
#> [3499] 32.466219 79.021061 10.300509 36.460596 78.681371 12.802134
#> [3505] 153.714548 19.472027 14.480222 160.570644 172.791082 20.731206
#> [3511] 93.093066 228.097985 118.994135 152.658270 221.187204 89.874217
#> [3517] 38.525622 68.866849 23.782867 69.577166 120.288900 50.132891
#> [3523] 138.948773 28.513196 46.509093 22.659924 108.066395 184.583895
#> [3529] 42.973969 192.271371 147.376269 9.433856 130.509221 32.510969
#> [3535] 19.652477 82.349867 24.575423 107.344415 85.364359 27.432038
#> [3541] 22.626717 199.041209 94.451079 222.684066 10.251643 147.997097
#> [3547] 54.423238 49.525198 240.958837 143.978914 79.193510 17.560324
#> [3553] 230.994428 165.290927 130.170749 10.156667 64.687798 54.711025
#> [3559] 43.779640 23.470538 158.552296 166.643064 143.100925 18.432636
#> [3565] 173.244801 9.848271 48.628820 117.236281 10.806656 66.703472
#> [3571] 21.137159 52.231282 129.404078 78.165598 20.333323 227.196252
#> [3577] 129.942131 48.182119 194.594081 138.428489 123.053656 70.750469
#> [3583] 40.775507 69.988476 103.865549 55.975676 47.660173 117.051597
#> [3589] 13.537902 173.428099 100.991659 17.066892 44.355666 204.542011
#> [3595] 30.911943 117.184098 165.583948 82.676227 134.704454 125.491275
#> [3601] 42.509342 203.670995 113.408992 39.698391 30.387709 78.048570
#> [3607] 19.599725 122.671568 34.266985 10.443768 69.617937 17.326636
#> [3613] 106.898667 91.617588 122.846399 127.241443 12.224366 50.287287
#> [3619] 64.246315 143.244856 41.876996 41.405484 24.934713 56.732404
#> [3625] 140.029551 135.088678 90.860778 12.963411 63.286110 76.787309
#> [3631] 122.421669 132.076320 10.151926 16.414995 13.134868 129.241416
#> [3637] 45.569621 49.804194 119.855242 128.937011 175.918684 30.843676
#> [3643] 212.387486 17.388479 47.099927 13.944245 223.287521 74.619716
#> [3649] 105.567165 58.764652 268.364994 64.748935 34.358274 138.241447
#> [3655] 106.385422 159.333539 15.387226 44.754703 78.067204 81.200543
#> [3661] 60.275793 111.712036 171.432306 94.400214 64.899744 51.300372
#> [3667] 162.025869 70.716205 166.772886 31.230254 140.525758 159.775320
#> [3673] 80.731851 105.899230 220.860890 19.987364 45.288195 129.248641
#> [3679] 19.435697 142.185016 21.346975 80.316351 8.986625 104.777508
#> [3685] 108.454913 102.228806 122.606182 184.237167 73.586764 212.891344
#> [3691] 36.003650 14.520914 354.559145 50.547908 50.919652 46.025632
#> [3697] 19.072089 12.157905 18.580033 72.917484 14.046392 41.272836
#> [3703] 202.163827 26.684168 64.683080 113.743682 88.049266 115.568188
#> [3709] 167.703194 8.747358 23.046514 67.826196 47.991697 90.632199
#> [3715] 29.558012 56.382164 97.425665 35.203476 164.070782 202.066311
#> [3721] 82.657289 109.753906 43.936670 104.505039 88.458443 94.227528
#> [3727] 41.564579 141.794439 68.095577 184.723433 61.758085 163.674316
#> [3733] 107.017127 22.203286 216.613060 188.152120 53.675431 40.364353
#> [3739] 128.628387 64.119014 68.926592 85.970755 30.858757 130.029672
#> [3745] 105.159750 68.135469 41.621921 115.318079 22.827520 127.113674
#> [3751] 33.272853 10.371446 108.417926 130.453945 75.379329 102.014197
#> [3757] 89.987257 92.564983 131.241791 28.276948 68.422000 11.379251
#> [3763] 155.595905 93.091877 87.240250 151.262538 68.408730 202.884572
#> [3769] 195.679636 184.841614 23.355197 58.465750 211.481235 16.341084
#> [3775] 71.652806 90.789851 106.288798 13.337351 23.086041 8.704118
#> [3781] 25.738072 203.711584 33.376433 159.401518 59.630699 233.892768
#> [3787] 58.730200 17.951882 23.936560 27.038854 75.950518 178.167212
#> [3793] 90.441093 49.321276 24.582597 74.112282 72.279661 73.098436
#> [3799] 44.421927 231.525666 425.155790 12.136947 157.135567 208.327062
#> [3805] 177.439566 94.321056 37.200056 15.759443 24.134758 33.469832
#> [3811] 9.131537 204.081590 54.643147 102.444612 79.120901 12.764157
#> [3817] 27.498454 108.801896 11.109160 33.220272 13.592632 176.856216
#> [3823] 195.505649 15.391426 26.378780 15.710198 30.372260 19.536252
#> [3829] 84.040417 8.786777 19.375161 27.641780 73.073350 232.195890
#> [3835] 40.848744 28.155230 80.923038 46.146281 176.300879 55.059106
#> [3841] 69.762519 186.877990 28.751929 72.630424 214.184820 27.778799
#> [3847] 92.382359 140.725144 26.242936 184.404053 188.881411 29.649572
#> [3853] 15.663163 141.477039 189.231252 29.439365 40.997488 237.930436
#> [3859] 88.538766 11.720943 171.486850 115.027820 69.298658 68.309748
#> [3865] 161.056805 75.381397 10.547090 35.426891 15.881313 23.712205
#> [3871] 157.639348 23.768165 196.313580 26.895825 81.439888 30.592625
#> [3877] 137.979334 12.454597 9.691855 25.576885 9.941411 132.382689
#> [3883] 170.456694 167.467305 102.859772 172.052602 16.531137 39.130772
#> [3889] 49.442480 207.035420 113.697856 215.967217 37.506796 230.438246
#> [3895] 108.144934 171.618807 91.457290 101.137941 16.743213 63.962056
#> [3901] 210.382877 168.358702 35.091511 173.092313 11.238655 22.267026
#> [3907] 200.309306 133.877908 41.590932 155.424641 21.723192 11.816928
#> [3913] 30.855486 65.787574 9.076546 17.601291 11.717824 187.375511
#> [3919] 216.482718 221.146147 57.040825 244.336555 160.086394 76.026653
#> [3925] 99.735066 67.464582 116.723635 55.851852 169.318729 11.375011
#> [3931] 203.665956 84.286704 44.191156 32.832806 73.233275 44.447527
#> [3937] 81.838800 119.114121 18.642018 200.541884 81.658338 93.164562
#> [3943] 54.706520 109.866474 92.966036 13.695052 62.397617 62.926331
#> [3949] 68.509576 169.127712 144.531212 23.617102 9.035629 45.536757
#> [3955] 116.281133 21.654455 52.566423 8.987314 58.222135 248.482630
#> [3961] 59.998993 49.308740 78.287256 46.197601 221.664083 25.169769
#> [3967] 56.252760 188.313467 48.876401 57.302627 161.869037 30.819444
#> [3973] 8.956110 245.967003 267.760703 73.534316 129.070589 47.063579
#> [3979] 65.704024 229.314138 164.587125 21.172493 29.796419 55.657873
#> [3985] 376.899455 27.668743 31.730308 46.575971 179.429213 48.721687
#> [3991] 16.483578 310.651194 13.300621 23.130836 223.479911 246.401232
#> [3997] 117.300947 164.410788 207.895451 76.241529