From e89772a2df19c514b4f839176ec78c463e8102c4 Mon Sep 17 00:00:00 2001 From: Rob J Goedman Date: Sun, 28 Jan 2024 09:26:42 -0700 Subject: [PATCH] Rel 0.16.0 - Fixes for StanPathfinder example --- notebooks/Pathfinder/Pathfinder.jl | 97 -- notebooks/Pathfinder/StanPathfinder.jl | 189 +++ .../Pathfinder/tmp/bernoulli_chain_1.csv | 1044 ----------------- .../tmp/{bernoulli => bernoulli_pf} | Bin 2430024 -> 2430512 bytes .../tmp/{bernoulli.stan => bernoulli_pf.stan} | 0 .../Pathfinder/tmp/bernoulli_pf_chain_1.csv | 1044 +++++++++++++++++ ....json => bernoulli_pf_chain_1_config.json} | 14 +- .../Pathfinder/tmp/bernoulli_pf_chain_2.csv | 1044 +++++++++++++++++ .../tmp/bernoulli_pf_chain_2_config.json | 48 + .../Pathfinder/tmp/bernoulli_pf_chain_3.csv | 1044 +++++++++++++++++ .../tmp/bernoulli_pf_chain_3_config.json | 48 + .../Pathfinder/tmp/bernoulli_pf_chain_4.csv | 1044 +++++++++++++++++ .../tmp/bernoulli_pf_chain_4_config.json | 48 + ...i_data_1.json => bernoulli_pf_data_1.json} | 0 .../Pathfinder/tmp/bernoulli_pf_data_2.json | 1 + .../Pathfinder/tmp/bernoulli_pf_data_3.json | 1 + .../Pathfinder/tmp/bernoulli_pf_data_4.json | 1 + 17 files changed, 4519 insertions(+), 1148 deletions(-) delete mode 100644 notebooks/Pathfinder/Pathfinder.jl create mode 100644 notebooks/Pathfinder/StanPathfinder.jl delete mode 100644 notebooks/Pathfinder/tmp/bernoulli_chain_1.csv rename notebooks/Pathfinder/tmp/{bernoulli => bernoulli_pf} (62%) rename notebooks/Pathfinder/tmp/{bernoulli.stan => bernoulli_pf.stan} (100%) create mode 100644 notebooks/Pathfinder/tmp/bernoulli_pf_chain_1.csv rename notebooks/Pathfinder/tmp/{bernoulli_chain_1_config.json => bernoulli_pf_chain_1_config.json} (64%) create mode 100644 notebooks/Pathfinder/tmp/bernoulli_pf_chain_2.csv create mode 100644 notebooks/Pathfinder/tmp/bernoulli_pf_chain_2_config.json create mode 100644 notebooks/Pathfinder/tmp/bernoulli_pf_chain_3.csv create mode 100644 notebooks/Pathfinder/tmp/bernoulli_pf_chain_3_config.json create mode 100644 notebooks/Pathfinder/tmp/bernoulli_pf_chain_4.csv create mode 100644 notebooks/Pathfinder/tmp/bernoulli_pf_chain_4_config.json rename notebooks/Pathfinder/tmp/{bernoulli_data_1.json => bernoulli_pf_data_1.json} (100%) create mode 100644 notebooks/Pathfinder/tmp/bernoulli_pf_data_2.json create mode 100644 notebooks/Pathfinder/tmp/bernoulli_pf_data_3.json create mode 100644 notebooks/Pathfinder/tmp/bernoulli_pf_data_4.json diff --git a/notebooks/Pathfinder/Pathfinder.jl b/notebooks/Pathfinder/Pathfinder.jl deleted file mode 100644 index 126e4c7..0000000 --- a/notebooks/Pathfinder/Pathfinder.jl +++ /dev/null @@ -1,97 +0,0 @@ -### A Pluto.jl notebook ### -# v0.19.36 - -using Markdown -using InteractiveUtils - -# ╔═╡ 5084b8f0-65ac-4704-b1fc-2a9008132bd7 -using Pkg - -# ╔═╡ d7753cf6-7452-421a-a3ec-76e07646f808 -Pkg.activate(expanduser("~/.julia/dev/StanPathfinder")) - -# ╔═╡ 550371ad-d411-4e66-9d63-7329322c6ea1 -begin - # Specific to this notebook - using StanPathfinder - using DataFrames - using StanIO: read_csvfiles -end - -# ╔═╡ eb7ea04a-da52-4e69-ac3e-87dc7f014652 -md"## Pathfinder example" - -# ╔═╡ cf39df58-3371-4535-88e4-f3f6c0404500 -md" ###### Widen the cells." - -# ╔═╡ 0616ece8-ccf8-4281-bfed-9c1192edf88e -html""" - -""" - -# ╔═╡ 4755dab0-d228-41d3-934a-56f2863a5652 -md"###### A typical set of Julia packages to include in notebooks." - -# ╔═╡ da214635-a5ff-4c64-8930-683b11bd8531 -bernoulli_model = " -data { - int N; - array[N] int y; -} -parameters { - real theta; -} -model { - theta ~ beta(1,1); - y ~ bernoulli(theta); -} -"; - -# ╔═╡ 104b926e-5a36-41d7-a587-aeafa7bcd9c5 -data = Dict("N" => 10, "y" => [0, 1, 0, 1, 0, 0, 0, 0, 0, 1]); - -# ╔═╡ eb4a78c4-0522-44ae-b3ab-fe489c135026 -md" -!!! note - -Keep tmpdir across multiple runs to prevent re-compilation." - -# ╔═╡ 1ae7dd74-40c5-439c-a95c-3d31eecc8d89 -tmpdir = joinpath(@__DIR__, "tmp") - -# ╔═╡ a2939ec8-3ac1-4a7b-8e0b-68b15f0d98ce -begin - sm = PathfinderModel("bernoulli", bernoulli_model, tmpdir) - rc = stan_pathfinder(sm; data, seed=rand(1:200000000, 1)[1], num_paths=6, num_threads=1) -end; - -# ╔═╡ dd2ef429-7294-4602-895e-73031b3e8314 -if success(rc) - df = read_csvfiles(sm.file, :dataframe) -end - -# ╔═╡ aa891570-ad41-43d2-81c9-dd4303343f71 -create_pathfinder_profile_df(sm) - -# ╔═╡ Cell order: -# ╟─eb7ea04a-da52-4e69-ac3e-87dc7f014652 -# ╟─cf39df58-3371-4535-88e4-f3f6c0404500 -# ╠═0616ece8-ccf8-4281-bfed-9c1192edf88e -# ╟─4755dab0-d228-41d3-934a-56f2863a5652 -# ╠═5084b8f0-65ac-4704-b1fc-2a9008132bd7 -# ╠═d7753cf6-7452-421a-a3ec-76e07646f808 -# ╠═550371ad-d411-4e66-9d63-7329322c6ea1 -# ╠═da214635-a5ff-4c64-8930-683b11bd8531 -# ╠═104b926e-5a36-41d7-a587-aeafa7bcd9c5 -# ╟─eb4a78c4-0522-44ae-b3ab-fe489c135026 -# ╠═1ae7dd74-40c5-439c-a95c-3d31eecc8d89 -# ╠═a2939ec8-3ac1-4a7b-8e0b-68b15f0d98ce -# ╠═dd2ef429-7294-4602-895e-73031b3e8314 -# ╠═aa891570-ad41-43d2-81c9-dd4303343f71 diff --git a/notebooks/Pathfinder/StanPathfinder.jl b/notebooks/Pathfinder/StanPathfinder.jl new file mode 100644 index 0000000..b15b344 --- /dev/null +++ b/notebooks/Pathfinder/StanPathfinder.jl @@ -0,0 +1,189 @@ +### A Pluto.jl notebook ### +# v0.19.37 + +using Markdown +using InteractiveUtils + +# ╔═╡ 5084b8f0-65ac-4704-b1fc-2a9008132bd7 +using Pkg + +# ╔═╡ d7753cf6-7452-421a-a3ec-76e07646f808 +Pkg.activate(expanduser("~/.julia/dev/SR2StanPluto")) + +# ╔═╡ 550371ad-d411-4e66-9d63-7329322c6ea1 +begin + # Specific to this notebook + using StanSample + using StanOptimize + using StanPathfinder + using Distributions + using DataFrames + using CairoMakie +end + +# ╔═╡ eb7ea04a-da52-4e69-ac3e-87dc7f014652 +md"## Pathfinder example" + +# ╔═╡ cf39df58-3371-4535-88e4-f3f6c0404500 +md" ###### Widen the cells." + +# ╔═╡ 0616ece8-ccf8-4281-bfed-9c1192edf88e +html""" + +""" + +# ╔═╡ 4755dab0-d228-41d3-934a-56f2863a5652 +md"###### A typical set of Julia packages to include in notebooks." + +# ╔═╡ da214635-a5ff-4c64-8930-683b11bd8531 +bernoulli_model = " +data { + int N; + array[N] int y; +} +parameters { + real theta; +} +model { + theta ~ beta(1,1); + y ~ bernoulli(theta); +} +"; + +# ╔═╡ 104b926e-5a36-41d7-a587-aeafa7bcd9c5 +data = Dict("N" => 10, "y" => [0, 1, 0, 1, 0, 0, 0, 0, 0, 1]); + +# ╔═╡ eb4a78c4-0522-44ae-b3ab-fe489c135026 +md" +!!! note + +Keep tmpdir across multiple runs to prevent re-compilation." + +# ╔═╡ 1ae7dd74-40c5-439c-a95c-3d31eecc8d89 +tmpdir = joinpath(pwd(), "tmp") + +# ╔═╡ edfb88bc-a66d-4035-af24-2b06e3253171 +begin + sm = SampleModel("bernoulli_sm", bernoulli_model) + rc_sm = stan_sample(sm; data) + if success(rc_sm) + df_sm = read_samples(sm, :dataframe) + end + describe(df_sm) +end + +# ╔═╡ c67f204e-1cbc-4fa9-924f-2d8e4da0cb87 +d_normal = fit(Normal{Float64}, df_sm.theta) + +# ╔═╡ 06fe53e6-bb72-40dc-ac55-4e5cb363f2a3 +d_mle = fit_mle(Normal{Float64}, df_sm.theta) + +# ╔═╡ 9d9e6493-07e4-44aa-8552-f9edc72a4142 +begin + om = OptimizeModel("bernoulli_om", bernoulli_model) + rc_om = stan_optimize(om; data) + if success(rc_om) + map, cnames = read_optimize(om) + end + map +end + +# ╔═╡ cc7174d3-fa01-4ed7-a49e-7cd5ecd6d450 +begin + θ̂ = mean(map["theta"]) + d_map = Normal(θ̂, θ̂ * (1-θ̂)) +end + +# ╔═╡ a46d3d38-3c56-4b43-a7ee-57323dbb1e3b +let + global pm2 = PathfinderModel("bernoulli_pf", bernoulli_model) + rc = stan_pathfinder(pm2; data, num_chains=4, save_cmdstan_config=true) + if all(success.(rc)) + a3d, colnames = read_pathfinder(pm2) + global dfa = StanSample.convert_a3d(a3d, colnames, Val(:dataframes)) + end +end + +# ╔═╡ 8b95d355-691a-47a5-8a10-ddac5fb3655a +println(StanPathfinder.cmdline(pm2, 1)) + +# ╔═╡ 886f5fee-07b2-4d7d-a7fd-3805570ce1b1 +log_file=StanBase.log_file_path(pm2.output_base, 1) + +# ╔═╡ c200e687-9967-4ebc-8b7b-6f1a14aadaa2 +sample_file=StanBase.sample_file_path(pm2.output_base, 1) + +# ╔═╡ 98a87e92-be9d-4735-9dba-b3b1d8f313d9 +pm2.num_chains=4 + +# ╔═╡ 60490358-75a0-464e-b1e9-869219ceb2c9 +pm2.num_threads + +# ╔═╡ 037133fa-7c32-4bb7-993a-7251c63885dd +let + str = read(joinpath(pm2.tmpdir, "$(pm2.name)_log_1.log"), String) + findfirst("Path [", str) + str = split(str[findfirst("Path [", str)[1]:end], "\n")[1:end-1] +end + +# ╔═╡ d57e4518-c4ea-41c8-93bf-f34ecf35987c +let + str = read(joinpath(pm2.tmpdir, "$(pm2.name)_log_2.log"), String) + findfirst("Path [", str) + str = split(str[findfirst("Path [", str)[1]:end], "\n")[1:end-1] +end + +# ╔═╡ aa891570-ad41-43d2-81c9-dd4303343f71 +res2 = create_pathfinder_profile_df(pm2) + +# ╔═╡ fcc59e30-c156-42cb-8351-7d54b5c4bee9 +let + f = Figure(; size=(1000, 400)) + pm = PathfinderModel("bernoulli_plot", bernoulli_model) + for i in 1:4 + ax = Axis(f[1, i]; title="Density theta (pathfinder run $i)\n 1000 psis samples") + density!(dfa[i].theta) + end + for i in 1:4 + rc = stan_sample(sm; data) + df_sm2 = read_samples(sm, :dataframe) + ax = Axis(f[2, i]; title="Density theta (mcmc run $i)\n 4000 draws") + density!(df_sm2.theta) + end + f +end + +# ╔═╡ Cell order: +# ╟─eb7ea04a-da52-4e69-ac3e-87dc7f014652 +# ╟─cf39df58-3371-4535-88e4-f3f6c0404500 +# ╠═0616ece8-ccf8-4281-bfed-9c1192edf88e +# ╟─4755dab0-d228-41d3-934a-56f2863a5652 +# ╠═5084b8f0-65ac-4704-b1fc-2a9008132bd7 +# ╠═d7753cf6-7452-421a-a3ec-76e07646f808 +# ╠═550371ad-d411-4e66-9d63-7329322c6ea1 +# ╠═da214635-a5ff-4c64-8930-683b11bd8531 +# ╠═104b926e-5a36-41d7-a587-aeafa7bcd9c5 +# ╟─eb4a78c4-0522-44ae-b3ab-fe489c135026 +# ╠═1ae7dd74-40c5-439c-a95c-3d31eecc8d89 +# ╠═edfb88bc-a66d-4035-af24-2b06e3253171 +# ╠═c67f204e-1cbc-4fa9-924f-2d8e4da0cb87 +# ╠═06fe53e6-bb72-40dc-ac55-4e5cb363f2a3 +# ╠═9d9e6493-07e4-44aa-8552-f9edc72a4142 +# ╠═cc7174d3-fa01-4ed7-a49e-7cd5ecd6d450 +# ╠═a46d3d38-3c56-4b43-a7ee-57323dbb1e3b +# ╠═8b95d355-691a-47a5-8a10-ddac5fb3655a +# ╠═886f5fee-07b2-4d7d-a7fd-3805570ce1b1 +# ╠═c200e687-9967-4ebc-8b7b-6f1a14aadaa2 +# ╠═98a87e92-be9d-4735-9dba-b3b1d8f313d9 +# ╠═60490358-75a0-464e-b1e9-869219ceb2c9 +# ╠═037133fa-7c32-4bb7-993a-7251c63885dd +# ╠═d57e4518-c4ea-41c8-93bf-f34ecf35987c +# ╠═aa891570-ad41-43d2-81c9-dd4303343f71 +# ╠═fcc59e30-c156-42cb-8351-7d54b5c4bee9 diff --git a/notebooks/Pathfinder/tmp/bernoulli_chain_1.csv b/notebooks/Pathfinder/tmp/bernoulli_chain_1.csv deleted file mode 100644 index a1fb7a4..0000000 --- a/notebooks/Pathfinder/tmp/bernoulli_chain_1.csv +++ /dev/null @@ -1,1044 +0,0 @@ -# stan_version_major = 2 -# stan_version_minor = 34 -# stan_version_patch = 0 -# model = bernoulli_model -# start_datetime = 2024-01-22 02:32:46 UTC -# method = pathfinder -# pathfinder -# init_alpha = 0.001000 (Default) -# tol_obj = 0.000000 -# tol_rel_obj = 1000.000000 -# tol_grad = 0.000000 (Default) -# tol_rel_grad = 10000000.000000 (Default) -# tol_param = 0.000000 (Default) -# history_size = 5 (Default) -# num_psis_draws = 1000 (Default) -# num_paths = 6 -# save_single_paths = 0 (Default) -# psis_resample = 1 (Default) -# calculate_lp = 1 (Default) -# max_lbfgs_iters = 1000 (Default) -# num_draws = 1000 (Default) -# num_elbo_draws = 25 (Default) -# id = 1 (Default) -# data -# file = /Users/rob/Projects/Julia/notebooks/Stan/Pathfinder/tmp/bernoulli_data_1.json -# init = 2 (Default) -# random -# seed = 55176064 -# output -# file = /Users/rob/Projects/Julia/notebooks/Stan/Pathfinder/tmp/bernoulli_chain_1.csv -# diagnostic_file = (Default) -# refresh = 100 (Default) -# sig_figs = -1 (Default) -# profile_file = /Users/rob/Projects/Julia/notebooks/Stan/Pathfinder/tmp/bernoulli_profile_1.log -# save_cmdstan_config = 1 -# num_threads = 1 (Default) -# stanc_version = stanc3 v2.33.1-101-g8f2dbe7 -# stancflags = --warn-pedantic -lp_approx__,lp__,theta --0.445673, -7.65585, 0.30809 --0.808969, -7.99374, 0.226629 --0.440073, -7.65062, 0.355029 --0.597524, -7.81346, 0.416573 --0.730291, -7.92257, 0.237029 --0.432529, -7.64269, 0.346346 --0.471252, -7.68035, 0.294651 --0.742535, -7.96915, 0.448653 --1.34924, -8.62147, 0.534359 --0.450005, -7.66142, 0.363081 --0.84926, -8.02973, 0.221847 --0.440859, -7.65066, 0.355061 --7.13708, -12.3627, 0.0504298 --0.47219, -7.68094, 0.294389 --1.34518, -8.45723, 0.179167 --0.655653, -7.85415, 0.248604 --1.02181, -8.18181, 0.204208 --0.435189, -7.64625, 0.316187 --2.2958, -9.21579, 0.132788 --0.509358, -7.72612, 0.391831 --0.444446, -7.65927, 0.305789 --2.36473, -9.72891, 0.625151 --0.651564, -7.85043, 0.249292 --0.493526, -7.70603, 0.384586 --0.643007, -7.84252, 0.250775 --0.529412, -7.74003, 0.274035 --0.597412, -7.80016, 0.259343 --1.32005, -8.43572, 0.180893 --0.467965, -7.67717, 0.296106 --0.79806, -7.98384, 0.227994 --0.537443, -7.74343, 0.273093 --0.578, -7.78266, 0.263249 --0.934617, -8.10539, 0.212615 --1.10217, -8.35324, 0.504376 --1.53718, -8.61598, 0.167338 --1.20516, -8.3367, 0.189287 --2.13532, -9.08157, 0.139455 --1.38976, -8.49498, 0.176214 --1.01267, -8.17385, 0.205047 --4.21755, -10.5788, 0.0847985 --0.80407, -8.03244, 0.459482 --1.11721, -8.36951, 0.506346 --0.650562, -7.87001, 0.429401 --0.549429, -7.75584, 0.269789 --0.541683, -7.74771, 0.271929 --1.01313, -8.17424, 0.205005 --0.65572, -7.87485, 0.430426 --3.58396, -10.1284, 0.0976224 --0.482902, -7.69902, 0.381818 --0.428165, -7.6382, 0.334352 --0.698586, -7.89345, 0.241732 --0.4283, -7.63946, 0.340273 --1.83978, -9.14616, 0.582231 --0.829999, -8.06027, 0.463972 --1.23388, -8.36402, 0.186893 --0.769223, -7.95784, 0.231701 --0.635877, -7.85384, 0.425905 --0.438897, -7.64903, 0.353578 --1.54782, -8.62394, 0.166783 --0.535694, -7.74848, 0.399005 --0.433465, -7.64355, 0.319316 --0.618985, -7.8202, 0.25515 --0.50875, -7.72059, 0.279781 --1.68966, -8.99078, 0.569183 --0.609138, -7.81127, 0.256982 --0.796944, -8.02482, 0.458226 --0.42437, -7.63976, 0.325681 --1.527, -8.60693, 0.167973 --0.450708, -7.66104, 0.362833 --0.613617, -7.81526, 0.256157 --0.940487, -8.11057, 0.212018 --1.09023, -8.24071, 0.198236 --0.442984, -7.6539, 0.309505 --4.35911, -11.8625, 0.735273 --0.432094, -7.6473, 0.315118 --0.582485, -7.78948, 0.261697 --1.08773, -8.33738, 0.502434 --0.428585, -7.63862, 0.337415 --0.881261, -8.11593, 0.472531 --0.921556, -8.09388, 0.213956 --0.53817, -7.74468, 0.272749 --1.63361, -8.92351, 0.56327 --0.509824, -7.71775, 0.280681 --1.62262, -8.91165, 0.56221 --1.43402, -8.52669, 0.173804 --1.07338, -8.22646, 0.199645 --0.461862, -7.67209, 0.369359 --1.00861, -8.25235, 0.491612 --0.42939, -7.63943, 0.340178 --0.424586, -7.64001, 0.34163 --2.72703, -9.53785, 0.118604 --0.450739, -7.66008, 0.305277 --0.473651, -7.68492, 0.37573 --0.715671, -7.90937, 0.239124 --0.45905, -7.66956, 0.367969 --0.628121, -7.84637, 0.424248 --0.683054, -7.87937, 0.244119 --1.2037, -8.46342, 0.517301 --0.546847, -7.7534, 0.270421 --1.06823, -8.22175, 0.200115 --0.786621, -8.01379, 0.456386 --0.87967, -8.05682, 0.218423 --2.49411, -9.8713, 0.634482 --2.23052, -9.16434, 0.135284 --3.01074, -10.4254, 0.667477 --0.841923, -8.02317, 0.222698 --0.450005, -7.66142, 0.363081 --3.1457, -9.84208, 0.107105 --2.87222, -9.64377, 0.114414 --1.01369, -8.25756, 0.492297 --0.733606, -7.92729, 0.236295 --0.762269, -7.95158, 0.23262 --0.838077, -8.06894, 0.46534 --0.849685, -8.08242, 0.46744 --0.781626, -7.97029, 0.229905 --0.488675, -7.69724, 0.287758 --0.54648, -7.75232, 0.270705 --0.473717, -7.68373, 0.293172 --0.751186, -7.94155, 0.234117 --0.434158, -7.64454, 0.318098 --0.668289, -7.88814, 0.433185 --0.730291, -7.92257, 0.237029 --1.92658, -8.9296, 0.147656 --0.836781, -8.01857, 0.223299 --1.21, -8.34352, 0.188683 --0.437627, -7.64721, 0.315208 --0.765214, -7.9912, 0.452533 --0.481408, -7.69469, 0.288725 --4.61599, -12.1434, 0.746303 --0.482435, -7.6915, 0.289968 --1.08552, -8.23696, 0.198605 --0.613574, -7.81582, 0.256042 --1.73781, -9.04503, 0.57383 --0.773726, -8.00205, 0.454397 --0.541683, -7.74771, 0.271929 --1.40681, -8.5088, 0.175156 --0.772779, -7.96095, 0.231248 --0.463504, -7.67519, 0.370995 --1.15152, -8.29142, 0.193398 --0.9482, -8.11696, 0.211288 --0.436394, -7.64649, 0.351037 --0.496536, -7.71297, 0.387193 --1.47898, -8.56891, 0.170691 --1.63361, -8.92351, 0.56327 --0.542353, -7.75662, 0.40144 --0.496977, -7.70826, 0.385438 --0.536842, -7.74396, 0.272947 --0.532556, -7.74521, 0.398003 --0.659903, -7.85807, 0.247888 --0.631936, -7.83202, 0.252797 --0.900555, -8.13601, 0.475496 --0.524733, -7.73831, 0.39584 --0.84536, -8.0768, 0.466568 --0.482471, -7.69088, 0.290216 --0.440093, -7.65008, 0.312558 --0.427414, -7.63857, 0.33721 --0.493788, -7.70538, 0.384334 --1.25152, -8.51559, 0.523108 --0.719935, -7.94286, 0.443859 --0.436466, -7.64768, 0.352274 --2.01587, -8.99907, 0.143815 --1.3864, -8.4916, 0.176475 --1.06283, -8.21733, 0.200558 --0.46588, -7.67515, 0.297062 --2.71747, -9.53176, 0.118851 --0.57346, -7.77841, 0.264237 --0.730964, -7.92355, 0.236877 --0.727419, -7.95099, 0.445362 --1.62262, -8.91165, 0.56221 --0.42275, -7.63818, 0.332791 --7.13708, -12.3627, 0.0504298 --0.575309, -7.78015, 0.263832 --0.720795, -7.94395, 0.444062 --0.933835, -8.10471, 0.212694 --0.810804, -8.04002, 0.46072 --0.919446, -8.09203, 0.214174 --0.471515, -7.68029, 0.294681 --0.731902, -7.95543, 0.446176 --2.87326, -9.64365, 0.114419 --1.37764, -8.65207, 0.537489 --0.888678, -8.12322, 0.473614 --0.476852, -7.68612, 0.292156 --0.50912, -7.72084, 0.390014 --0.547876, -7.75386, 0.270302 --0.707658, -7.93245, 0.441906 --6.77079, -12.1164, 0.0540425 --0.537276, -7.75486, 0.400921 --0.43428, -7.64476, 0.349074 --0.56308, -7.77743, 0.407321 --1.17364, -8.4306, 0.51355 --1.28027, -8.54649, 0.526462 --0.430483, -7.64165, 0.344753 --0.698786, -7.92045, 0.439611 --0.521189, -7.72913, 0.277176 --1.07675, -8.32586, 0.501009 --0.427801, -7.63824, 0.334952 --0.66212, -7.88179, 0.431875 --0.464113, -7.67311, 0.298055 --0.510484, -7.71813, 0.280559 --1.11062, -8.36238, 0.505486 --0.448107, -7.65839, 0.361049 --0.650975, -7.87002, 0.429404 --0.47212, -7.68087, 0.294419 --0.443481, -7.6537, 0.309651 --1.34518, -8.45723, 0.179167 --2.40286, -9.77191, 0.62801 --0.430933, -7.64108, 0.343762 --0.428594, -7.64389, 0.318884 --0.897136, -8.07239, 0.216518 --0.428585, -7.63862, 0.337415 --0.769591, -7.99576, 0.45332 --0.451224, -7.66156, 0.363175 --1.31274, -8.43034, 0.18133 --0.565617, -7.77029, 0.266172 --0.577388, -7.78162, 0.26349 --0.431711, -7.64217, 0.345575 --0.899662, -8.07454, 0.216258 --2.15838, -9.49023, 0.608575 --0.799111, -8.02727, 0.458631 --0.437923, -7.64916, 0.353702 --0.58267, -7.79869, 0.412902 --0.431046, -7.6407, 0.323692 --0.531693, -7.74554, 0.398105 --2.60114, -9.44452, 0.122478 --1.15769, -8.29897, 0.192699 --0.57243, -7.77697, 0.264576 --0.516054, -7.733, 0.394125 --0.905291, -8.07953, 0.215658 --0.474794, -7.68537, 0.37594 --0.535558, -7.74955, 0.399332 --0.478305, -7.6897, 0.377884 --0.666748, -7.88651, 0.432851 --0.706543, -7.93128, 0.441684 --0.560653, -7.7664, 0.267124 --0.47449, -7.68578, 0.376126 --3.13422, -9.83147, 0.107479 --0.44887, -7.65956, 0.361853 --0.49279, -7.70393, 0.383772 --3.03371, -9.75737, 0.110146 --0.443838, -7.65369, 0.357578 --0.658984, -7.85743, 0.248005 --0.428326, -7.63846, 0.336607 --0.45417, -7.66467, 0.365118 --1.87556, -8.8804, 0.150478 --2.69332, -9.4987, 0.120207 --0.464224, -7.67829, 0.295588 --1.44318, -8.72373, 0.544627 --0.987678, -8.2297, 0.488605 --0.492657, -7.709, 0.385716 --1.86425, -8.88032, 0.150483 --1.0312, -8.27642, 0.49475 --1.56524, -8.63815, 0.1658 --0.555142, -7.76408, 0.267698 --0.423339, -7.63875, 0.328697 --0.451898, -7.66164, 0.304311 --0.783636, -8.01071, 0.455868 --0.453373, -7.66337, 0.303282 --0.823358, -8.00657, 0.22489 --0.440355, -7.65132, 0.311517 --0.525359, -7.73771, 0.395649 --1.11059, -8.25857, 0.196502 --1.7483, -9.04736, 0.574028 --5.63752, -11.449, 0.0654199 --0.496977, -7.70826, 0.385438 --1.06455, -8.21885, 0.200406 --0.761173, -7.98716, 0.45183 --0.664293, -7.86217, 0.247148 --0.443013, -7.65324, 0.309999 --0.429086, -7.63952, 0.326289 --1.02071, -8.26526, 0.493303 --0.629055, -7.8469, 0.424366 --0.480542, -7.69163, 0.378723 --0.428593, -7.63903, 0.339007 --0.493125, -7.70948, 0.385896 --0.717749, -7.91127, 0.23882 --0.669819, -7.8674, 0.246213 --1.03983, -8.28598, 0.495979 --0.811742, -7.99622, 0.226289 --0.952997, -8.12113, 0.210815 --0.712276, -7.90612, 0.23965 --0.530367, -7.73783, 0.274652 --1.73026, -9.02787, 0.572371 --0.487714, -7.70004, 0.38223 --1.4281, -8.70781, 0.543064 --2.00704, -8.99278, 0.144156 --0.881116, -8.11506, 0.472402 --4.56034, -10.7764, 0.0798446 --0.489372, -7.70564, 0.384434 --0.52045, -7.73387, 0.394409 --0.802615, -8.03109, 0.459261 --0.766089, -7.99213, 0.452694 --0.72539, -7.9485, 0.444904 --0.61093, -7.81276, 0.256674 --0.448436, -7.65837, 0.361037 --4.56034, -10.7764, 0.0798446 --1.121, -8.26739, 0.195658 --1.58182, -8.65324, 0.164768 --0.460164, -7.66969, 0.299791 --0.948827, -8.11789, 0.211183 --0.961571, -8.20157, 0.484786 --0.430833, -7.64626, 0.350789 --0.435055, -7.64542, 0.317084 --0.585962, -7.78945, 0.261703 --0.641437, -7.85995, 0.427242 --1.30541, -8.57381, 0.529378 --0.446891, -7.65715, 0.360177 --0.959918, -8.19976, 0.484537 --1.10359, -8.25071, 0.197262 --0.700866, -7.89586, 0.241331 --0.720376, -7.94333, 0.443946 --0.474835, -7.68418, 0.292979 --0.430126, -7.64015, 0.32481 --0.719524, -7.94292, 0.443871 --0.613919, -7.83077, 0.420688 --3.16954, -9.85661, 0.106594 --1.10639, -8.25461, 0.196884 --0.493586, -7.70995, 0.386073 --0.488892, -7.69991, 0.382175 --0.547173, -7.75665, 0.269579 --0.687066, -7.90797, 0.437174 --0.487468, -7.70369, 0.383677 --2.71865, -9.51719, 0.119446 --0.493526, -7.70603, 0.384586 --2.48, -9.85439, 0.633394 --4.10872, -10.5044, 0.0867627 --0.435561, -7.64592, 0.316538 --0.449433, -7.66084, 0.362702 --0.427481, -7.6429, 0.34666 --0.647124, -7.84892, 0.249573 --3.11245, -10.542, 0.67384 --2.33177, -9.68988, 0.622524 --0.78096, -7.96847, 0.230165 --0.952897, -8.12105, 0.210825 --0.612061, -7.8295, 0.420392 --1.03506, -8.28058, 0.495285 --1.02944, -8.18839, 0.20352 --0.443035, -7.65326, 0.309983 --0.49192, -7.69997, 0.286747 --0.660458, -7.88003, 0.43151 --0.700673, -7.89568, 0.241361 --7.13708, -12.3627, 0.0504298 --1.11609, -8.36829, 0.5062 --0.468639, -7.68251, 0.293697 --0.996067, -8.23816, 0.489734 --0.664694, -7.88491, 0.432522 --1.0468, -8.20322, 0.20199 --0.538775, -7.74469, 0.272747 --0.473452, -7.68216, 0.29385 --0.867421, -8.04586, 0.219791 --0.48371, -7.69688, 0.287894 --1.10518, -8.25388, 0.196954 --0.428181, -7.63821, 0.332058 --0.635155, -7.83581, 0.25206 --0.698555, -7.92036, 0.439592 --0.614778, -7.83137, 0.420827 --1.68578, -8.98842, 0.568977 --1.42525, -8.70309, 0.542598 --0.529223, -7.74297, 0.39731 --1.21287, -8.47359, 0.518448 --0.428145, -7.63858, 0.337261 --0.53817, -7.74468, 0.272749 --0.867459, -8.04633, 0.219732 --0.512665, -7.72581, 0.391725 --0.817783, -8.00164, 0.225554 --1.24724, -8.372, 0.186205 --0.430427, -7.64088, 0.343394 --2.01722, -9.34757, 0.598037 --0.477606, -7.68965, 0.377861 --2.15765, -9.50445, 0.609598 --0.434331, -7.64553, 0.349975 --0.648111, -7.84724, 0.249886 --4.0765, -10.4785, 0.0874589 --0.438504, -7.64827, 0.352852 --0.461044, -7.67046, 0.299394 --2.85148, -9.62578, 0.115111 --0.818319, -8.04919, 0.462202 --0.770731, -7.95923, 0.231498 --1.18854, -8.3248, 0.190349 --1.55938, -8.63491, 0.166023 --1.43609, -8.71045, 0.543324 --0.464379, -7.67467, 0.370725 --0.442698, -7.654, 0.357821 --3.00559, -10.423, 0.667348 --0.538513, -7.75613, 0.401298 --3.03371, -9.75737, 0.110146 --0.445204, -7.65466, 0.308941 --2.24716, -9.17707, 0.13466 --0.591683, -7.80812, 0.415265 --0.451355, -7.6617, 0.363261 --1.49503, -8.78034, 0.550088 --0.514099, -7.72641, 0.391929 --3.85243, -10.3307, 0.0915764 --1.27048, -8.39498, 0.184254 --0.770731, -7.95923, 0.231498 --1.07435, -8.22575, 0.199715 --0.636196, -7.83617, 0.251992 --1.14471, -8.39927, 0.509893 --0.644854, -7.86399, 0.428114 --1.75525, -8.79282, 0.155728 --0.473822, -7.68471, 0.375636 --0.437517, -7.64875, 0.353314 --0.433201, -7.64284, 0.320271 --1.1767, -8.31537, 0.1912 --0.433181, -7.64334, 0.347269 --2.55146, -9.40779, 0.124053 --0.458437, -7.67002, 0.368223 --0.434769, -7.64495, 0.349297 --0.481186, -7.69727, 0.381102 --0.510803, -7.71836, 0.280487 --0.707658, -7.93245, 0.441906 --1.57434, -8.64713, 0.165184 --1.84759, -8.85845, 0.151766 --0.632369, -7.84991, 0.425037 --1.10359, -8.25071, 0.197262 --0.477343, -7.68843, 0.37732 --3.1457, -9.84208, 0.107105 --0.45929, -7.66884, 0.300237 --0.843077, -8.02436, 0.222542 --0.451702, -7.66145, 0.304427 --0.58043, -7.78427, 0.262879 --0.437108, -7.64762, 0.352208 --0.523457, -7.74062, 0.396571 --0.836781, -8.01857, 0.223299 --0.519943, -7.72707, 0.277791 --0.456805, -7.66736, 0.366715 --0.622465, -7.83996, 0.422801 --0.729808, -7.95575, 0.446234 --1.55105, -8.62773, 0.166519 --0.494733, -7.70636, 0.384711 --0.666405, -7.86426, 0.246772 --1.84025, -8.86015, 0.151666 --0.492651, -7.70106, 0.28635 --0.712715, -7.90668, 0.239559 --0.488163, -7.69762, 0.287618 --0.472898, -7.68294, 0.293513 --0.496691, -7.70486, 0.284997 --0.900003, -8.07483, 0.216223 --0.942331, -8.1122, 0.211832 --0.903592, -8.13918, 0.475959 --0.672436, -7.86944, 0.245851 --0.526016, -7.73878, 0.395991 --0.430734, -7.64075, 0.323603 --0.454862, -7.66537, 0.365545 --0.463217, -7.67897, 0.372899 --0.533828, -7.74716, 0.398605 --0.461832, -7.6725, 0.36958 --0.623169, -7.82388, 0.254408 --2.86811, -10.2776, 0.659145 --1.40921, -8.51078, 0.175005 --0.427134, -7.63829, 0.331194 --0.428808, -7.63848, 0.336725 --0.431331, -7.64251, 0.346084 --0.429459, -7.63958, 0.326121 --0.927366, -8.09882, 0.213379 --0.756144, -7.98139, 0.450822 --1.36975, -8.63898, 0.536156 --0.756019, -7.9474, 0.23324 --1.90684, -8.91171, 0.148672 --0.427058, -7.63822, 0.331997 --2.02339, -9.00301, 0.143602 --0.753542, -7.94368, 0.233796 --0.42413, -7.63953, 0.326266 --0.492807, -7.70464, 0.384049 --0.433355, -7.64879, 0.353356 --2.19984, -9.14141, 0.13642 --0.43668, -7.64663, 0.315796 --1.14819, -8.40088, 0.510083 --1.08272, -8.33235, 0.501813 --0.451927, -7.66268, 0.363886 --0.456759, -7.66596, 0.301802 --0.497702, -7.70675, 0.284336 --1.11736, -8.36984, 0.506386 --0.475069, -7.68566, 0.37607 --0.666581, -7.8865, 0.432849 --2.01062, -8.98559, 0.144547 --1.38781, -8.49336, 0.176339 --1.37632, -8.47925, 0.177433 --2.28941, -9.19871, 0.133608 --4.52323, -12.0033, 0.740877 --0.472769, -7.6815, 0.294141 --0.492651, -7.70106, 0.28635 --0.74415, -7.97085, 0.448957 --0.439368, -7.64991, 0.354391 --0.624231, -7.8451, 0.423962 --0.445939, -7.65678, 0.30744 --1.82425, -8.84745, 0.152419 --0.431963, -7.64242, 0.34596 --2.23052, -9.16434, 0.135284 --0.431304, -7.64242, 0.320862 --0.434763, -7.64596, 0.350464 --1.42602, -8.52511, 0.173923 --0.466235, -7.67558, 0.296855 --2.58385, -9.43192, 0.123015 --0.917869, -8.15454, 0.47818 --1.09644, -8.34544, 0.503424 --0.43321, -7.64337, 0.347308 --0.786788, -8.01397, 0.456416 --0.745991, -7.93683, 0.23483 --0.598198, -7.804, 0.258516 --0.537428, -7.74375, 0.273003 --0.448133, -7.65951, 0.361821 --1.19453, -8.33036, 0.189851 --0.436294, -7.64639, 0.350929 --2.42349, -9.79439, 0.629491 --0.429715, -7.63975, 0.341017 --1.03661, -8.28225, 0.4955 --0.74509, -7.96966, 0.448744 --1.84325, -8.86298, 0.151499 --0.452103, -7.66356, 0.364435 --0.974889, -8.21588, 0.48674 --0.597412, -7.80016, 0.259343 --5.59024, -11.4203, 0.0659682 --4.16701, -11.6671, 0.727232 --1.32456, -8.43644, 0.180835 --0.496907, -7.70888, 0.38567 --1.32969, -8.44479, 0.180161 --0.679043, -7.90007, 0.435602 --0.646581, -7.8652, 0.428374 --1.23126, -8.36103, 0.187152 --0.694726, -7.89007, 0.242298 --0.433277, -7.64447, 0.348717 --0.43618, -7.65163, 0.355898 --3.30621, -9.93632, 0.103853 --2.66006, -9.48556, 0.120753 --3.62493, -10.1763, 0.0961429 --0.816145, -8.04555, 0.461615 --0.703094, -7.92497, 0.440481 --0.52045, -7.73387, 0.394409 --0.638341, -7.83796, 0.251646 --2.71905, -10.1101, 0.649306 --1.44337, -8.53883, 0.172898 --0.54879, -7.7545, 0.270135 --0.649566, -7.86808, 0.42899 --0.885521, -8.06207, 0.217776 --1.47679, -8.5671, 0.170821 --0.438351, -7.64837, 0.314094 --0.641827, -7.8608, 0.427425 --0.446478, -7.65673, 0.359875 --1.06332, -8.21751, 0.20054 --0.513521, -7.72127, 0.279568 --0.537241, -7.75046, 0.399608 --0.468825, -7.67809, 0.295678 --1.82425, -8.84745, 0.152419 --1.23145, -8.49354, 0.520677 --0.510874, -7.72768, 0.392358 --0.53245, -7.7398, 0.274098 --2.01242, -9.34404, 0.597769 --0.495443, -7.70459, 0.28509 --0.446403, -7.65724, 0.307131 --0.45905, -7.66956, 0.367969 --0.854546, -8.08657, 0.468081 --0.594701, -7.8105, 0.415848 --0.661666, -7.88108, 0.431728 --0.60336, -7.81935, 0.417993 --0.476788, -7.68776, 0.377023 --1.61344, -8.90779, 0.561864 --0.42348, -7.63889, 0.32818 --0.906259, -8.14249, 0.476441 --0.927196, -8.09885, 0.213374 --0.891174, -8.067, 0.217172 --1.06332, -8.21751, 0.20054 --0.448866, -7.65964, 0.305555 --0.524041, -7.73105, 0.276608 --0.530367, -7.73783, 0.274652 --0.487954, -7.69681, 0.28792 --0.953157, -8.12127, 0.210799 --0.533828, -7.74716, 0.398605 --0.46964, -7.68007, 0.373438 --0.51148, -7.7283, 0.392567 --0.430053, -7.63973, 0.340961 --0.65375, -7.87271, 0.429974 --1.58166, -8.87532, 0.558928 --0.84536, -8.0768, 0.466568 --0.786363, -8.01351, 0.456339 --0.818319, -8.04919, 0.462202 --0.832963, -8.01534, 0.223724 --1.08254, -8.33178, 0.501743 --1.80144, -8.82986, 0.153471 --0.447833, -7.65775, 0.360607 --0.458295, -7.67261, 0.298305 --0.651362, -7.8504, 0.249297 --0.747691, -7.97255, 0.449258 --0.462235, -7.67639, 0.296475 --0.729213, -7.95272, 0.44568 --1.95005, -9.27773, 0.592686 --1.51677, -8.6, 0.168462 --1.08863, -8.23963, 0.198343 --0.841343, -8.0233, 0.222681 --0.852959, -8.03307, 0.221417 --2.25261, -9.60704, 0.616842 --1.11609, -8.36829, 0.5062 --1.38389, -8.65816, 0.538106 --0.458281, -7.66887, 0.36758 --0.429584, -7.63925, 0.327024 --1.43896, -8.53457, 0.173215 --0.724094, -7.94732, 0.444687 --0.478723, -7.68985, 0.377947 --0.531693, -7.74554, 0.398105 --0.440713, -7.65619, 0.359486 --0.556745, -7.76201, 0.268217 --1.31501, -8.58006, 0.530039 --0.670461, -7.89343, 0.434263 --1.24286, -8.37122, 0.186272 --2.85807, -10.2635, 0.658334 --0.551881, -7.75815, 0.269195 --1.35625, -8.62444, 0.534665 --1.34935, -8.46071, 0.178891 --1.24967, -8.51304, 0.522829 --0.462262, -7.67392, 0.370333 --1.14687, -8.40175, 0.510186 --0.457215, -7.66778, 0.366958 --0.427968, -7.63841, 0.33037 --0.456529, -7.67091, 0.299161 --0.493167, -7.70156, 0.286171 --0.435191, -7.64537, 0.349796 --0.566539, -7.78183, 0.408507 --0.888539, -8.06485, 0.217435 --0.710347, -7.90435, 0.239936 --1.27153, -8.53707, 0.525446 --0.43668, -7.64663, 0.315796 --0.587916, -7.80366, 0.414156 --0.559796, -7.77813, 0.40751 --0.430822, -7.64087, 0.343375 --6.77079, -12.1164, 0.0540425 --0.866803, -8.09976, 0.470098 --3.17659, -9.86293, 0.106374 --0.475069, -7.68566, 0.37607 --0.506709, -7.71964, 0.389592 --1.50826, -8.78825, 0.55084 --0.634571, -7.83471, 0.252273 --2.47958, -9.35378, 0.126422 --1.01906, -8.26354, 0.493079 --0.4285, -7.63817, 0.333484 --0.446464, -7.65671, 0.359864 --0.632204, -7.83527, 0.252165 --0.531188, -7.74169, 0.273571 --0.83089, -8.0625, 0.464324 --0.430066, -7.63974, 0.340994 --0.477271, -7.6893, 0.377709 --1.35727, -8.46733, 0.178368 --1.02384, -8.2687, 0.493749 --1.97273, -9.30075, 0.594464 --0.447044, -7.65695, 0.360034 --1.07435, -8.22575, 0.199715 --1.75853, -8.79606, 0.155528 --0.915063, -8.08815, 0.214631 --1.00419, -8.24745, 0.490966 --0.428042, -7.63817, 0.33295 --0.603527, -7.80648, 0.257989 --0.679043, -7.90007, 0.435602 --2.45524, -9.33573, 0.127229 --0.797229, -7.98419, 0.227947 --0.485261, -7.69483, 0.288671 --1.67187, -8.97257, 0.567598 --0.446324, -7.66109, 0.304649 --0.636196, -7.83617, 0.251992 --0.445673, -7.65585, 0.30809 --2.2, -9.14093, 0.136444 --0.646558, -7.86841, 0.429062 --0.442021, -7.65229, 0.356454 --1.56524, -8.63815, 0.1658 --0.566495, -7.78507, 0.40937 --0.534743, -7.74197, 0.273494 --0.450821, -7.66225, 0.363615 --0.579568, -7.78366, 0.263019 --0.543863, -7.74984, 0.271359 --1.03176, -8.19038, 0.203313 --1.97309, -9.30185, 0.594549 --0.588831, -7.79207, 0.261116 --0.745126, -7.96966, 0.448744 --0.630062, -7.83071, 0.253055 --0.684432, -7.90518, 0.436621 --0.688386, -7.8843, 0.243274 --0.443511, -7.65441, 0.309123 --0.991658, -8.23405, 0.489186 --0.923864, -8.16121, 0.479136 --0.582485, -7.78948, 0.261697 --1.03023, -8.2756, 0.494644 --0.769886, -7.95847, 0.231609 --0.530346, -7.73781, 0.274658 --0.613574, -7.81582, 0.256042 --0.60336, -7.81935, 0.417993 --1.25181, -8.37878, 0.185625 --1.90684, -8.91171, 0.148672 --0.617265, -7.82156, 0.254874 --0.786333, -8.01348, 0.456334 --0.627251, -7.84451, 0.42383 --1.39433, -8.49818, 0.175968 --3.30621, -9.93632, 0.103853 --0.656224, -7.87556, 0.430575 --2.73299, -10.1252, 0.650211 --0.810804, -8.04002, 0.46072 --0.428205, -7.63936, 0.326722 --1.08961, -8.24018, 0.198288 --0.471671, -7.68757, 0.376938 --2.37196, -9.73582, 0.625614 --0.440162, -7.65513, 0.3086 --0.477287, -7.68794, 0.377102 --2.00142, -8.98777, 0.144428 --0.424712, -7.64014, 0.341908 --0.518533, -7.73062, 0.393339 --0.59844, -7.81521, 0.416996 --1.49876, -8.58448, 0.169568 --0.483587, -7.69476, 0.380059 --3.09995, -9.80701, 0.10835 --0.424811, -7.64019, 0.324712 --0.85068, -8.03098, 0.221685 --1.47745, -8.75983, 0.548128 --0.477905, -7.68647, 0.292011 --2.18879, -9.13382, 0.1368 --0.525459, -7.73812, 0.395779 --0.429014, -7.63914, 0.32735 --0.797229, -7.98419, 0.227947 --4.43445, -10.7196, 0.0812306 --0.433069, -7.64316, 0.319832 --0.578, -7.78266, 0.263249 --0.623342, -7.84069, 0.422966 --0.655454, -7.85379, 0.248672 --1.33468, -8.60474, 0.532625 --0.981833, -8.22328, 0.48774 --0.429227, -7.63926, 0.327015 --0.572688, -7.7767, 0.26464 --1.19778, -8.45634, 0.516499 --0.550566, -7.7564, 0.269644 --0.423204, -7.63863, 0.33749 --0.437823, -7.64758, 0.352167 --0.961482, -8.20148, 0.484772 --0.512836, -7.72536, 0.391574 --0.843428, -8.02451, 0.222523 --1.1932, -8.45138, 0.515935 --1.4281, -8.70781, 0.543064 --1.02823, -8.27354, 0.494377 --0.427438, -7.64286, 0.346601 --0.427088, -7.63825, 0.331626 --0.564302, -7.7828, 0.408766 --0.706889, -7.90136, 0.240425 --1.27851, -8.54081, 0.52585 --0.425479, -7.64085, 0.323424 --0.952897, -8.12105, 0.210825 --0.607313, -7.80912, 0.257434 --0.758172, -7.9837, 0.451227 --1.01746, -8.26182, 0.492854 --0.523457, -7.74062, 0.396571 --0.422958, -7.63839, 0.336186 --3.13422, -9.83147, 0.107479 --0.513521, -7.72127, 0.279568 --1.28347, -8.40566, 0.183361 --1.77277, -8.80683, 0.154868 --1.84081, -9.14728, 0.582322 --1.23694, -8.49944, 0.52133 --0.503434, -7.71626, 0.388388 --0.466866, -7.6762, 0.296564 --2.36473, -9.72891, 0.625151 --0.561653, -7.77586, 0.406893 --0.428233, -7.63827, 0.335221 --1.2338, -8.36394, 0.186899 --1.33631, -8.44618, 0.18005 --0.436535, -7.64627, 0.350802 --0.700673, -7.89568, 0.241361 --0.456552, -7.67093, 0.299149 --0.437795, -7.64791, 0.352499 --1.20444, -8.46123, 0.517053 --0.499954, -7.71647, 0.388464 --1.18465, -8.32214, 0.190588 --5.25779, -11.2165, 0.0700235 --1.50379, -8.58792, 0.169322 --1.53903, -8.82681, 0.554462 --1.0761, -8.32505, 0.500908 --2.4925, -9.36274, 0.126024 --0.432153, -7.64221, 0.345633 --0.659558, -7.88201, 0.431921 --2.611, -9.45185, 0.122167 --1.81177, -8.8386, 0.152946 --0.705596, -7.90047, 0.240571 --0.427755, -7.6382, 0.33237 --6.77079, -12.1164, 0.0540425 --0.80407, -8.03244, 0.459482 --1.35475, -8.46544, 0.178517 --0.586491, -7.79319, 0.260869 --0.436633, -7.64658, 0.315843 --0.623733, -7.8275, 0.253686 --0.451428, -7.66217, 0.363563 --0.568861, -7.7834, 0.408928 --2.00142, -8.98777, 0.144428 --0.630062, -7.83071, 0.253055 --1.23646, -8.49891, 0.521271 --2.06715, -9.40473, 0.602321 --0.666329, -7.86382, 0.246851 --1.70434, -8.75208, 0.158276 --0.834213, -8.06481, 0.464689 --0.481666, -7.69138, 0.290016 --0.623088, -7.84012, 0.422838 --1.08032, -8.32962, 0.501475 --0.438382, -7.64891, 0.353467 --0.431278, -7.64651, 0.31592 --0.78643, -8.01546, 0.456667 --3.06999, -9.78794, 0.109035 --0.988087, -8.15156, 0.207439 --1.86936, -8.88437, 0.150247 --0.549429, -7.75584, 0.269789 --3.2941, -10.7355, 0.684013 --0.844815, -8.07607, 0.466456 --0.834825, -8.06667, 0.464982 --0.956778, -8.19641, 0.484074 --0.434543, -7.64562, 0.316868 --0.595933, -7.81562, 0.417098 --0.600491, -7.82037, 0.418237 --0.432416, -7.64352, 0.319357 --0.443511, -7.65441, 0.309123 --0.452628, -7.66193, 0.304139 --2.5618, -9.4155, 0.12372 --5.59024, -11.4203, 0.0659682 --0.555872, -7.76476, 0.267529 --0.423114, -7.63853, 0.329677 --0.429883, -7.64102, 0.323114 --0.428147, -7.63818, 0.333941 --0.728846, -7.95281, 0.445697 --0.640829, -7.85913, 0.427062 --1.66346, -8.95574, 0.566124 --0.644875, -7.86665, 0.428686 --0.624174, -7.82507, 0.254169 --1.47947, -8.56861, 0.170712 --0.834213, -8.06481, 0.464689 --1.49761, -8.78361, 0.550399 --2.30922, -9.22526, 0.132336 --0.428036, -7.64346, 0.347426 --0.828892, -8.01151, 0.224232 --0.469209, -7.67806, 0.295696 --0.429716, -7.63938, 0.326655 --0.498336, -7.70736, 0.284126 --0.568254, -7.77277, 0.265574 --0.71482, -7.9086, 0.239249 --1.252, -8.51611, 0.523165 --0.605192, -7.82159, 0.418529 --1.04582, -8.29236, 0.496793 --0.438961, -7.64853, 0.313949 --0.515182, -7.72665, 0.277917 --0.428566, -7.6387, 0.328927 --0.559216, -7.77419, 0.406433 --0.807375, -8.03618, 0.460094 --0.456538, -7.66616, 0.301687 --1.24496, -8.50744, 0.522213 --0.502863, -7.71945, 0.389526 --0.670156, -7.89006, 0.433578 --0.797553, -7.98341, 0.228055 --0.489568, -7.69802, 0.287469 --2.36886, -9.73244, 0.625388 --0.429745, -7.63941, 0.326576 --1.25758, -8.38066, 0.185465 --0.816169, -8.00101, 0.225639 --0.455804, -7.66733, 0.366697 --0.873463, -8.05138, 0.219099 --0.572598, -7.78762, 0.410044 --0.515398, -7.72363, 0.278839 --0.428717, -7.63839, 0.336181 --0.622791, -7.82396, 0.254391 --0.536842, -7.74396, 0.272947 --1.29473, -8.56229, 0.528154 --1.4261, -8.70563, 0.542849 --0.431159, -7.64127, 0.322674 --0.481288, -7.69277, 0.379214 --0.462262, -7.67392, 0.370333 --0.841923, -8.02317, 0.222698 --0.729109, -7.95309, 0.445748 --1.35056, -8.46173, 0.178811 --0.532635, -7.74567, 0.398146 --0.476911, -7.68755, 0.376929 --0.467381, -7.67697, 0.2962 --1.29461, -8.4144, 0.182637 --2.67531, -10.0666, 0.646679 --0.439116, -7.64889, 0.353448 --3.79654, -11.2718, 0.709946 --0.843077, -8.02436, 0.222542 --0.971792, -8.21226, 0.486248 --1.44566, -8.54072, 0.172758 --0.488801, -7.70116, 0.382679 --0.578784, -7.79462, 0.411864 --0.752978, -7.97817, 0.450255 --1.27883, -8.40181, 0.183682 --0.461151, -7.67065, 0.299294 --0.447024, -7.65693, 0.36002 --0.723859, -7.94707, 0.444641 --0.842814, -8.02402, 0.222586 --0.472098, -7.68153, 0.294128 --0.628546, -7.83192, 0.252817 --7.13708, -12.3627, 0.0504298 --0.767132, -7.95598, 0.231973 --0.661855, -7.88192, 0.431902 --0.45141, -7.6614, 0.36307 --0.524586, -7.73721, 0.395489 --0.55939, -7.76418, 0.267674 --0.430166, -7.64021, 0.342055 --0.645212, -7.84432, 0.250435 --1.27525, -8.54027, 0.525792 --1.85781, -8.87408, 0.150847 --0.611222, -7.81276, 0.256674 --0.830955, -8.01411, 0.223887 --0.788427, -7.97635, 0.229045 --0.473401, -7.68933, 0.377722 --0.719092, -7.9418, 0.443662 --0.428279, -7.63831, 0.33105 --0.847161, -8.07974, 0.467026 --1.10631, -8.25454, 0.196891 --0.444278, -7.65375, 0.309613 --0.425829, -7.64119, 0.322812 --1.2338, -8.36394, 0.186899 --0.457464, -7.67181, 0.298704 --1.03975, -8.1961, 0.202722 --2.05832, -9.39599, 0.601671 --0.428043, -7.63818, 0.332892 --0.509207, -7.72125, 0.390155 --2.38504, -9.75249, 0.626724 --0.431248, -7.64126, 0.322692 --1.00815, -8.16983, 0.205473 --0.801006, -8.03087, 0.459224 --1.18994, -8.3265, 0.190197 --0.59187, -7.79469, 0.260537 --0.559598, -7.76823, 0.266675 --1.87876, -8.88291, 0.150332 --2.26402, -9.19152, 0.133956 --0.688927, -7.88695, 0.242823 --0.707647, -7.92981, 0.441404 --0.572606, -7.77693, 0.264586 --3.94447, -10.3942, 0.0897786 --1.19802, -8.45726, 0.516603 --0.462509, -7.67188, 0.298669 --2.31303, -9.21653, 0.132752 --3.76333, -10.2713, 0.0933008 --0.530854, -7.73717, 0.274839 --0.478094, -7.68948, 0.377788 --0.444112, -7.655, 0.308694 --0.443671, -7.65389, 0.309512 --0.586957, -7.80211, 0.413766 --1.00321, -8.24644, 0.490833 --1.91375, -8.91876, 0.14827 --0.447044, -7.65841, 0.361064 --0.658969, -7.85703, 0.248078 --0.705854, -7.90025, 0.240607 --0.674187, -7.89433, 0.434446 --0.442138, -7.652, 0.310972 --0.597532, -7.80021, 0.259332 --0.430883, -7.64134, 0.344218 --0.725348, -7.91807, 0.237737 --0.76812, -7.95684, 0.231846 --1.50052, -8.58524, 0.169514 --1.0872, -8.2381, 0.198493 --0.447401, -7.65715, 0.307188 --1.30412, -8.56835, 0.528798 --0.461862, -7.67209, 0.369359 --0.518811, -7.72607, 0.278093 --1.08641, -8.3362, 0.502288 --0.447024, -7.65693, 0.36002 --0.608387, -7.82488, 0.419309 --0.433357, -7.64345, 0.319455 --0.617492, -7.81946, 0.2553 --0.594451, -7.81102, 0.415978 --1.72739, -9.03366, 0.572865 --0.448982, -7.6587, 0.30616 --0.432256, -7.64344, 0.347395 --0.83807, -8.01979, 0.22314 --0.737752, -7.92932, 0.235981 --0.614517, -7.83208, 0.420991 --1.13783, -8.28196, 0.194281 --1.56479, -8.63853, 0.165774 --0.433021, -7.64349, 0.347465 --0.759123, -7.9846, 0.451385 --1.50296, -8.78898, 0.550909 --0.54665, -7.75215, 0.27075 --1.20378, -8.33845, 0.189132 --1.87556, -8.8804, 0.150478 --0.745659, -7.97038, 0.448873 --0.442744, -7.65225, 0.310773 --0.533273, -7.75073, 0.399688 --0.448982, -7.6587, 0.30616 --0.454864, -7.66538, 0.365546 --0.466161, -7.67542, 0.296931 --1.24413, -8.37189, 0.186214 --0.436259, -7.64631, 0.316126 --0.554825, -7.76092, 0.268491 --1.37395, -8.64881, 0.537158 --0.453277, -7.66331, 0.364282 --0.440972, -7.65095, 0.311827 --0.503149, -7.71104, 0.282875 --0.428137, -7.63827, 0.331423 --0.429245, -7.63927, 0.326961 --0.659511, -7.8788, 0.431253 --0.559643, -7.76442, 0.267614 --0.749279, -7.93978, 0.234382 --0.68583, -7.88415, 0.2433 --0.473401, -7.68933, 0.377722 --0.430933, -7.64108, 0.343762 --2.81877, -9.60608, 0.115881 --0.721755, -7.91662, 0.237967 --1.05518, -8.30267, 0.498103 --0.429453, -7.63912, 0.327416 --1.18548, -8.4436, 0.515045 --0.428083, -7.63852, 0.329731 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