From 84a7447fc162397899382a080bda6caa5d2053f7 Mon Sep 17 00:00:00 2001 From: Chiyoung Ahn Date: Wed, 10 Apr 2019 11:24:08 -0700 Subject: [PATCH] Update the notebook with complete output --- solve-transition.ipynb | 538 +++++++++++++++++++---------------------- 1 file changed, 246 insertions(+), 292 deletions(-) diff --git a/solve-transition.ipynb b/solve-transition.ipynb index 03b8667c..fedf1b67 100644 --- a/solve-transition.ipynb +++ b/solve-transition.ipynb @@ -14,15 +14,15 @@ "\u001b[32m\u001b[1m Updating\u001b[22m\u001b[39m registry at `C:\\Users\\Chiyoung Ahn\\.julia\\registries\\General`\n", "\u001b[32m\u001b[1m Updating\u001b[22m\u001b[39m git-repo `https://github.com/JuliaRegistries/General.git`\n", "\u001b[?25l\u001b[2K\u001b[?25h\u001b[32m\u001b[1mPrecompiling\u001b[22m\u001b[39m project...\n", - "\u001b[32m\u001b[1mPrecompiling\u001b[22m\u001b[39m CSV\n" + "\u001b[32m\u001b[1mPrecompiling\u001b[22m\u001b[39m Plots\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ - "┌ Info: Precompiling CSV [336ed68f-0bac-5ca0-87d4-7b16caf5d00b]\n", - "└ @ Base loading.jl:1186\n" + "┌ Info: Recompiling stale cache file C:\\Users\\Chiyoung Ahn\\.julia\\compiled\\v1.1\\Plots\\ld3vC.ji for Plots [91a5bcdd-55d7-5caf-9e0b-520d859cae80]\n", + "└ @ Base loading.jl:1184\n" ] } ], @@ -45,8 +45,6 @@ "output_type": "stream", "text": [ "┌ Info: Recompiling stale cache file C:\\Users\\Chiyoung Ahn\\.julia\\compiled\\v1.1\\PerlaTonettiWaugh\\Zi3ee.ji for PerlaTonettiWaugh [d2cacc76-b06b-11e8-362b-f18d03a16405]\n", - "└ @ Base loading.jl:1184\n", - "┌ Info: Recompiling stale cache file C:\\Users\\Chiyoung Ahn\\.julia\\compiled\\v1.1\\Plots\\ld3vC.ji for Plots [91a5bcdd-55d7-5caf-9e0b-520d859cae80]\n", "└ @ Base loading.jl:1184\n" ] } @@ -481,52 +479,94 @@ "scrolled": true }, "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "┌ Warning: no cache found in C:\\Users\\Chiyoung Ahn\\Documents\\data, or it doesn't exist.\n", - "└ @ PerlaTonettiWaugh C:\\Users\\Chiyoung Ahn\\.julia\\dev\\PerlaTonettiWaugh\\src\\full\\transition.jl:57\n" - ] - }, { "name": "stdout", "output_type": "stream", "text": [ - "Results written to data\\13104844475483604985.csv\n" + "Cache found; returning data.\n", + " 9.058842 seconds (46.57 M allocations: 2.087 GiB, 11.26% gc time)\n" ] }, { - "ename": "ErrorException", - "evalue": "Cannot serialize type typeof(Interpolations.LinearInterpolation)", - "output_type": "error", - "traceback": [ - "Cannot serialize type typeof(Interpolations.LinearInterpolation)", - "", - "Stacktrace:", - " [1] error(::String) at .\\error.jl:33", - " [2] lower at C:\\Users\\Chiyoung Ahn\\.julia\\packages\\JSON\\ebvl3\\src\\Writer.jl:47 [inlined]", - " [3] show_json(::JSON.Writer.CompactContext{Base.GenericIOBuffer{Array{UInt8,1}}}, ::JSON.Serializations.StandardSerialization, ::Function) at C:\\Users\\Chiyoung Ahn\\.julia\\packages\\JSON\\ebvl3\\src\\Writer.jl:314", - " [4] show_pair(::JSON.Writer.CompactContext{Base.GenericIOBuffer{Array{UInt8,1}}}, ::JSON.Serializations.StandardSerialization, ::Symbol, ::Function) at C:\\Users\\Chiyoung Ahn\\.julia\\packages\\JSON\\ebvl3\\src\\Writer.jl:241", - " [5] show_json(::JSON.Writer.CompactContext{Base.GenericIOBuffer{Array{UInt8,1}}}, ::JSON.Serializations.StandardSerialization, ::JSON.Writer.CompositeTypeWrapper{NamedTuple{(:z_max, :z_ex, :z, :Δ_E, :ode_solve_algorithm, :T, :t, :g, :weights, :transition_x0, :fifty_node_iv, :transition_lb, :transition_ub, :transition_iterations, :transition_penalty_coefficient, :transition_interpolation_function, :T_U_bar, :tstops, :params_T, :stationary_sol_T, :Ω_0),Tuple{Int64,Array{Float64,1},Array{Float64,1},Float64,Sundials.CVODE_BDF{:Newton,:Dense},Float64,StepRangeLen{Float64,Base.TwicePrecision{Float64},Base.TwicePrecision{Float64}},Interpolations.Extrapolation{Float64,1,Interpolations.ScaledInterpolation{Float64,1,Interpolations.BSplineInterpolation{Float64,1,Array{Float64,1},Interpolations.BSpline{Interpolations.Linear},Tuple{Base.OneTo{Int64}}},Interpolations.BSpline{Interpolations.Linear},Tuple{StepRangeLen{Float64,Base.TwicePrecision{Float64},Base.TwicePrecision{Float64}}}},Interpolations.BSpline{Interpolations.Linear},Interpolations.Throw{Nothing}},Array{Float64,1},Array{Float64,1},Array{Float64,1},Array{Float64,1},Array{Float64,1},Int64,Float64,typeof(Interpolations.LinearInterpolation),Float64,Nothing,NamedTuple{(:ρ, :σ, :N, :θ, :γ, :κ, :ζ, :η, :Theta, :χ, :υ, :μ, :δ, :d),Tuple{Float64,Float64,Int64,Float64,Float64,Float64,Float64,Float64,Int64,Float64,Float64,Float64,Float64,Float64}},NamedTuple{(:F, :r, :ν, :a, :b, :S, :L_tilde, :L_tilde_x, :L_tilde_E, :L_tilde_a, :z_bar, :w, :x, :π_min, :π_rat, :g, :z_hat, :Ω, :v_tilde, :y, :c, :λ_ii, :U_bar),Tuple{getfield(PerlaTonettiWaugh, Symbol(\"#F#29\")){Float64},Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Array{Float64,1},Float64,Float64,Float64,Float64}},Float64}}}) at C:\\Users\\Chiyoung Ahn\\.julia\\packages\\JSON\\ebvl3\\src\\Writer.jl:285", - " [6] show_json at C:\\Users\\Chiyoung Ahn\\.julia\\packages\\JSON\\ebvl3\\src\\Writer.jl:314 [inlined]", - " [7] #show_json#3 at C:\\Users\\Chiyoung Ahn\\.julia\\packages\\JSON\\ebvl3\\src\\Writer.jl:325 [inlined]", - " [8] show_json at C:\\Users\\Chiyoung Ahn\\.julia\\packages\\JSON\\ebvl3\\src\\Writer.jl:324 [inlined]", - " [9] print(::Base.GenericIOBuffer{Array{UInt8,1}}, ::NamedTuple{(:z_max, :z_ex, :z, :Δ_E, :ode_solve_algorithm, :T, :t, :g, :weights, :transition_x0, :fifty_node_iv, :transition_lb, :transition_ub, :transition_iterations, :transition_penalty_coefficient, :transition_interpolation_function, :T_U_bar, :tstops, :params_T, :stationary_sol_T, :Ω_0),Tuple{Int64,Array{Float64,1},Array{Float64,1},Float64,Sundials.CVODE_BDF{:Newton,:Dense},Float64,StepRangeLen{Float64,Base.TwicePrecision{Float64},Base.TwicePrecision{Float64}},Interpolations.Extrapolation{Float64,1,Interpolations.ScaledInterpolation{Float64,1,Interpolations.BSplineInterpolation{Float64,1,Array{Float64,1},Interpolations.BSpline{Interpolations.Linear},Tuple{Base.OneTo{Int64}}},Interpolations.BSpline{Interpolations.Linear},Tuple{StepRangeLen{Float64,Base.TwicePrecision{Float64},Base.TwicePrecision{Float64}}}},Interpolations.BSpline{Interpolations.Linear},Interpolations.Throw{Nothing}},Array{Float64,1},Array{Float64,1},Array{Float64,1},Array{Float64,1},Array{Float64,1},Int64,Float64,typeof(Interpolations.LinearInterpolation),Float64,Nothing,NamedTuple{(:ρ, :σ, :N, :θ, :γ, :κ, :ζ, :η, :Theta, :χ, :υ, :μ, :δ, :d),Tuple{Float64,Float64,Int64,Float64,Float64,Float64,Float64,Float64,Int64,Float64,Float64,Float64,Float64,Float64}},NamedTuple{(:F, :r, :ν, :a, :b, :S, :L_tilde, :L_tilde_x, :L_tilde_E, :L_tilde_a, :z_bar, :w, :x, :π_min, :π_rat, :g, :z_hat, :Ω, :v_tilde, :y, :c, :λ_ii, :U_bar),Tuple{getfield(PerlaTonettiWaugh, Symbol(\"#F#29\")){Float64},Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Array{Float64,1},Float64,Float64,Float64,Float64}},Float64}}) at C:\\Users\\Chiyoung Ahn\\.julia\\packages\\JSON\\ebvl3\\src\\Writer.jl:349", - " [10] #sprint#340(::Nothing, ::Int64, ::Function, ::Function, ::NamedTuple{(:z_max, :z_ex, :z, :Δ_E, :ode_solve_algorithm, :T, :t, :g, :weights, :transition_x0, :fifty_node_iv, :transition_lb, :transition_ub, :transition_iterations, :transition_penalty_coefficient, :transition_interpolation_function, :T_U_bar, :tstops, :params_T, :stationary_sol_T, :Ω_0),Tuple{Int64,Array{Float64,1},Array{Float64,1},Float64,Sundials.CVODE_BDF{:Newton,:Dense},Float64,StepRangeLen{Float64,Base.TwicePrecision{Float64},Base.TwicePrecision{Float64}},Interpolations.Extrapolation{Float64,1,Interpolations.ScaledInterpolation{Float64,1,Interpolations.BSplineInterpolation{Float64,1,Array{Float64,1},Interpolations.BSpline{Interpolations.Linear},Tuple{Base.OneTo{Int64}}},Interpolations.BSpline{Interpolations.Linear},Tuple{StepRangeLen{Float64,Base.TwicePrecision{Float64},Base.TwicePrecision{Float64}}}},Interpolations.BSpline{Interpolations.Linear},Interpolations.Throw{Nothing}},Array{Float64,1},Array{Float64,1},Array{Float64,1},Array{Float64,1},Array{Float64,1},Int64,Float64,typeof(Interpolations.LinearInterpolation),Float64,Nothing,NamedTuple{(:ρ, :σ, :N, :θ, :γ, :κ, :ζ, :η, :Theta, :χ, :υ, :μ, :δ, :d),Tuple{Float64,Float64,Int64,Float64,Float64,Float64,Float64,Float64,Int64,Float64,Float64,Float64,Float64,Float64}},NamedTuple{(:F, :r, :ν, :a, :b, :S, :L_tilde, :L_tilde_x, :L_tilde_E, :L_tilde_a, :z_bar, :w, :x, :π_min, :π_rat, :g, :z_hat, :Ω, :v_tilde, :y, :c, :λ_ii, :U_bar),Tuple{getfield(PerlaTonettiWaugh, Symbol(\"#F#29\")){Float64},Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Array{Float64,1},Float64,Float64,Float64,Float64}},Float64}}) at .\\strings\\io.jl:101", - " [11] sprint at .\\strings\\io.jl:97 [inlined]", - " [12] json(::NamedTuple{(:z_max, :z_ex, :z, :Δ_E, :ode_solve_algorithm, :T, :t, :g, :weights, :transition_x0, :fifty_node_iv, :transition_lb, :transition_ub, :transition_iterations, :transition_penalty_coefficient, :transition_interpolation_function, :T_U_bar, :tstops, :params_T, :stationary_sol_T, :Ω_0),Tuple{Int64,Array{Float64,1},Array{Float64,1},Float64,Sundials.CVODE_BDF{:Newton,:Dense},Float64,StepRangeLen{Float64,Base.TwicePrecision{Float64},Base.TwicePrecision{Float64}},Interpolations.Extrapolation{Float64,1,Interpolations.ScaledInterpolation{Float64,1,Interpolations.BSplineInterpolation{Float64,1,Array{Float64,1},Interpolations.BSpline{Interpolations.Linear},Tuple{Base.OneTo{Int64}}},Interpolations.BSpline{Interpolations.Linear},Tuple{StepRangeLen{Float64,Base.TwicePrecision{Float64},Base.TwicePrecision{Float64}}}},Interpolations.BSpline{Interpolations.Linear},Interpolations.Throw{Nothing}},Array{Float64,1},Array{Float64,1},Array{Float64,1},Array{Float64,1},Array{Float64,1},Int64,Float64,typeof(Interpolations.LinearInterpolation),Float64,Nothing,NamedTuple{(:ρ, :σ, :N, :θ, :γ, :κ, :ζ, :η, :Theta, :χ, :υ, :μ, :δ, :d),Tuple{Float64,Float64,Int64,Float64,Float64,Float64,Float64,Float64,Int64,Float64,Float64,Float64,Float64,Float64}},NamedTuple{(:F, :r, :ν, :a, :b, :S, :L_tilde, :L_tilde_x, :L_tilde_E, :L_tilde_a, :z_bar, :w, :x, :π_min, :π_rat, :g, :z_hat, :Ω, :v_tilde, :y, :c, :λ_ii, :U_bar),Tuple{getfield(PerlaTonettiWaugh, Symbol(\"#F#29\")){Float64},Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Array{Float64,1},Float64,Float64,Float64,Float64}},Float64}}) at C:\\Users\\Chiyoung Ahn\\.julia\\packages\\JSON\\ebvl3\\src\\Writer.jl:354", - " [13] #solve_full_model#131(::Bool, ::String, ::Bool, ::Bool, ::Nothing, ::Bool, ::Function, ::NamedTuple{(:z_max, :z_ex, :z, :Δ_E, :ode_solve_algorithm, :T, :t, :g, :weights, :transition_x0, :fifty_node_iv, :transition_lb, :transition_ub, :transition_iterations, :transition_penalty_coefficient, :transition_interpolation_function, :T_U_bar, :tstops, :params_T, :stationary_sol_T, :Ω_0),Tuple{Int64,Array{Float64,1},Array{Float64,1},Float64,Sundials.CVODE_BDF{:Newton,:Dense},Float64,StepRangeLen{Float64,Base.TwicePrecision{Float64},Base.TwicePrecision{Float64}},Interpolations.Extrapolation{Float64,1,Interpolations.ScaledInterpolation{Float64,1,Interpolations.BSplineInterpolation{Float64,1,Array{Float64,1},Interpolations.BSpline{Interpolations.Linear},Tuple{Base.OneTo{Int64}}},Interpolations.BSpline{Interpolations.Linear},Tuple{StepRangeLen{Float64,Base.TwicePrecision{Float64},Base.TwicePrecision{Float64}}}},Interpolations.BSpline{Interpolations.Linear},Interpolations.Throw{Nothing}},Array{Float64,1},Array{Float64,1},Array{Float64,1},Array{Float64,1},Array{Float64,1},Int64,Float64,typeof(Interpolations.LinearInterpolation),Float64,Nothing,NamedTuple{(:ρ, :σ, :N, :θ, :γ, :κ, :ζ, :η, :Theta, :χ, :υ, :μ, :δ, :d),Tuple{Float64,Float64,Int64,Float64,Float64,Float64,Float64,Float64,Int64,Float64,Float64,Float64,Float64,Float64}},NamedTuple{(:F, :r, :ν, :a, :b, :S, :L_tilde, :L_tilde_x, :L_tilde_E, :L_tilde_a, :z_bar, :w, :x, :π_min, :π_rat, :g, :z_hat, :Ω, :v_tilde, :y, :c, :λ_ii, :U_bar),Tuple{getfield(PerlaTonettiWaugh, Symbol(\"#F#29\")){Float64},Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Array{Float64,1},Float64,Float64,Float64,Float64}},Float64}}) at C:\\Users\\Chiyoung Ahn\\.julia\\dev\\PerlaTonettiWaugh\\src\\full\\transition.jl:97", - " [14] (::getfield(PerlaTonettiWaugh, Symbol(\"#kw##solve_full_model\")))(::NamedTuple{(:impose_E_monotonicity_constraints, :write_data, :read_data, :run_global),NTuple{4,Bool}}, ::typeof(solve_full_model), ::NamedTuple{(:z_max, :z_ex, :z, :Δ_E, :ode_solve_algorithm, :T, :t, :g, :weights, :transition_x0, :fifty_node_iv, :transition_lb, :transition_ub, :transition_iterations, :transition_penalty_coefficient, :transition_interpolation_function, :T_U_bar, :tstops, :params_T, :stationary_sol_T, :Ω_0),Tuple{Int64,Array{Float64,1},Array{Float64,1},Float64,Sundials.CVODE_BDF{:Newton,:Dense},Float64,StepRangeLen{Float64,Base.TwicePrecision{Float64},Base.TwicePrecision{Float64}},Interpolations.Extrapolation{Float64,1,Interpolations.ScaledInterpolation{Float64,1,Interpolations.BSplineInterpolation{Float64,1,Array{Float64,1},Interpolations.BSpline{Interpolations.Linear},Tuple{Base.OneTo{Int64}}},Interpolations.BSpline{Interpolations.Linear},Tuple{StepRangeLen{Float64,Base.TwicePrecision{Float64},Base.TwicePrecision{Float64}}}},Interpolations.BSpline{Interpolations.Linear},Interpolations.Throw{Nothing}},Array{Float64,1},Array{Float64,1},Array{Float64,1},Array{Float64,1},Array{Float64,1},Int64,Float64,typeof(Interpolations.LinearInterpolation),Float64,Nothing,NamedTuple{(:ρ, :σ, :N, :θ, :γ, :κ, :ζ, :η, :Theta, :χ, :υ, :μ, :δ, :d),Tuple{Float64,Float64,Int64,Float64,Float64,Float64,Float64,Float64,Int64,Float64,Float64,Float64,Float64,Float64}},NamedTuple{(:F, :r, :ν, :a, :b, :S, :L_tilde, :L_tilde_x, :L_tilde_E, :L_tilde_a, :z_bar, :w, :x, :π_min, :π_rat, :g, :z_hat, :Ω, :v_tilde, :y, :c, :λ_ii, :U_bar),Tuple{getfield(PerlaTonettiWaugh, Symbol(\"#F#29\")){Float64},Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Float64,Array{Float64,1},Float64,Float64,Float64,Float64}},Float64}}) at .\\none:0", - " [15] top-level scope at util.jl:156", - " [16] top-level scope at In[18]:1" - ] + "data": { + "text/html": [ + "

111 rows × 21 columns

tgz_hatΩEv_1L_tildeentry_residualλ_iiSz_barcπ_minlog_MUπ_ratL_tilde_aL_tilde_xL_tilde_Ewr
Float64⍰Float64⍰Float64⍰Float64⍰Float64⍰Float64⍰Float64⍰Float64⍰Float64⍰Float64⍰Float64⍰Float64⍰Float64⍰Float64⍰Float64⍰Float64⍰Float64⍰Float64⍰Float64⍰Float64⍰Float64⍰
10.00.007567571.870180.9612870.01713524.934390.224876-0.0161050.8629970.1030821.366041.058850.1811840.020.12512.207260.09909180.02765020.09813450.9354490.027676
20.50.007612311.869240.9599170.0171594.936310.224976-0.01418180.862830.1033061.365261.058110.1813840.0037949720.31312.207880.09916540.02768010.09813070.9349190.0277272
31.00.007656991.86830.958560.01718284.938280.225078-0.01221310.862660.103531.36451.057380.1815810.007612320.50152.208520.09923940.0277110.0981280.9343940.0277769
41.50.007701721.867360.9572170.01720664.94020.225182-0.01028460.8624920.1037531.363741.056650.1817760.01145220.69052.209140.09931450.02774170.09812620.9338750.0278255
52.00.00774661.866450.9558860.01723054.9420.225288-0.008481590.8623280.1039781.362981.055920.181970.01531420.87982.209760.0993910.02777110.09812540.933360.0278725
62.296510.007773331.865920.9551040.01724464.942980.22535-0.007506530.8622330.1041121.362541.055490.1820840.01761520.99232.210110.09943740.02778740.09812540.9330550.0279051
72.50.007791581.865570.9545690.01725434.943630.225393-0.006853150.8621690.1042031.362231.05520.1821630.019198621.06962.210340.09946880.02779840.09812560.9328460.0279373
83.00.007835591.864680.9532650.01727814.945310.225496-0.005166290.8620080.1044231.361491.054480.1823530.023105421.25992.210940.09954280.02782680.09812680.932340.0279905
93.50.007879311.863780.9519740.01730194.947030.225601-0.003450420.8618470.1046421.360761.053770.1825420.027034121.45062.211540.09961620.02785590.0981290.9318390.0280301
104.00.007923821.86290.9506970.01732574.948660.225711-0.001813560.8616870.1048641.360041.053060.1827270.030984921.64172.212140.09969410.02788450.09813210.9313420.0280573
114.50.007970191.862050.9494320.01734954.950110.225829-0.0003637460.8615330.1050961.359321.052340.182910.034958321.83322.212710.09978170.02791110.09813620.9308480.0280804
124.809860.008000341.861540.9486550.01736424.950860.2259080.000393510.8614410.1052471.358871.051890.1830220.037432521.95212.213050.09984310.02792610.09813930.9305430.0280836
135.00.008019761.861240.948180.01737334.951310.2259620.0008444540.8613850.1053441.35861.051610.1830890.038955622.02512.213260.09988530.02793520.09814130.9303560.0280587
145.50.008074781.860390.9469410.01739714.95270.2261250.002227310.8612310.1056191.357891.050840.1832570.04297922.21742.213840.1000150.02796240.09814740.9298730.0280826
156.00.008132821.859510.9457150.01742094.954230.2263070.003761240.8610720.105911.35721.050060.1834170.047030922.41022.214460.100160.02799210.09815450.9293980.028151
166.50.008190491.858640.9445020.01744474.955740.2264890.00527680.8609130.1061981.356511.049280.1835760.051111822.60342.215080.1003040.02802190.09816250.9289280.0282604
177.00.00824441.85780.9433020.01746854.957070.2266520.006604510.860760.1064681.355831.048530.1837380.055220722.7972.215670.1004310.02804940.09817160.928460.0284071
187.50.008291171.857030.9421140.01749234.958040.2267790.007574950.860620.1067021.355151.047830.183910.05935522.99092.216190.1005250.02807210.09818160.9279920.0285877
198.00.008327391.856360.9409390.01751624.958480.2268510.008018630.8604980.1068831.354461.04720.1840960.063510123.18522.216610.100570.02808760.09819260.9275190.0287443
208.21760.0083391.856110.9404330.01752654.958460.226860.008004270.8604520.1069411.354151.046950.1841830.065323523.26982.216750.1005710.02809150.09819780.9273120.0283845
218.50.008352841.85580.9397810.01755564.958360.2269550.007903130.8603940.107011.353761.046520.1842760.067680323.37982.216940.1005660.0280960.09829290.9270450.0281017
229.00.00837951.85520.938650.01762654.958220.2272480.007757560.8602850.1071441.353091.04560.1844050.071863323.57472.217350.100570.02810720.09857080.9265850.0281268
239.50.008407431.854590.9375520.01769744.958090.2275560.007631370.8601730.1072831.352441.044690.1845230.076060123.77022.217780.1005840.02812070.09885130.9261420.0281753
2410.00.008434841.853990.936490.01776824.957960.2278670.007497150.8600620.107421.351821.043780.1846340.080270723.9662.218220.1005980.02813470.09913470.9257140.0282445
2510.50.008459941.853420.9354620.01783914.957790.2281730.007327490.8599570.1075461.351211.04290.1847410.084494524.16232.218620.1006050.02814710.09942070.9252980.0283327
2611.00.008480951.852910.9344680.01790994.957560.2284620.007094970.8598630.1076511.350621.042050.1848480.088729924.3592.218980.1005960.02815590.09970960.9248920.0284382
2711.50.00849611.852480.9335080.01798084.957230.2287240.006772180.8597860.1077271.350041.041250.1849590.092974524.55612.219250.1005640.0281590.1000010.9244930.0285163
2811.62530.008498761.85240.9332730.01799854.957140.2287840.006673890.8597690.107741.349891.041060.1849870.094039624.60562.21930.1005510.02815870.1000750.9243930.0285344
2912.00.008506191.852130.9325820.01805164.956810.2289650.006351890.8597210.1077771.349471.040490.1850710.097225124.75352.219460.1005110.02815790.1002960.9241030.028547
3012.50.008516631.851760.931690.01812254.956340.2292160.005878540.8596510.1078291.348921.039730.1851720.10148124.95142.21970.1004640.02815950.1005930.923730.0285654
" + ], + "text/latex": [ + "\\begin{tabular}{r|ccccccccccccccccccccc}\n", + "\t& t & g & z\\_hat & Ω & E & v\\_1 & L\\_tilde & entry\\_residual & λ\\_ii & S & z\\_bar & c & π\\_min & log\\_M & U & π\\_rat & L\\_tilde\\_a & L\\_tilde\\_x & L\\_tilde\\_E & w & r\\\\\n", + "\t\\hline\n", + "\t1 & 0.0 & 0.00756757 & 1.87018 & 0.961287 & 0.0171352 & 4.93439 & 0.224876 & -0.016105 & 0.862997 & 0.103082 & 1.36604 & 1.05885 & 0.181184 & 0.0 & 20.1251 & 2.20726 & 0.0990918 & 0.0276502 & 0.0981345 & 0.935449 & 0.027676 \\\\\n", + "\t2 & 0.5 & 0.00761231 & 1.86924 & 0.959917 & 0.017159 & 4.93631 & 0.224976 & -0.0141818 & 0.86283 & 0.103306 & 1.36526 & 1.05811 & 0.181384 & 0.00379497 & 20.3131 & 2.20788 & 0.0991654 & 0.0276801 & 0.0981307 & 0.934919 & 0.0277272 \\\\\n", + "\t3 & 1.0 & 0.00765699 & 1.8683 & 0.95856 & 0.0171828 & 4.93828 & 0.225078 & -0.0122131 & 0.86266 & 0.10353 & 1.3645 & 1.05738 & 0.181581 & 0.0076123 & 20.5015 & 2.20852 & 0.0992394 & 0.027711 & 0.098128 & 0.934394 & 0.0277769 \\\\\n", + "\t4 & 1.5 & 0.00770172 & 1.86736 & 0.957217 & 0.0172066 & 4.9402 & 0.225182 & -0.0102846 & 0.862492 & 0.103753 & 1.36374 & 1.05665 & 0.181776 & 0.011452 & 20.6905 & 2.20914 & 0.0993145 & 0.0277417 & 0.0981262 & 0.933875 & 0.0278255 \\\\\n", + "\t5 & 2.0 & 0.0077466 & 1.86645 & 0.955886 & 0.0172305 & 4.942 & 0.225288 & -0.00848159 & 0.862328 & 0.103978 & 1.36298 & 1.05592 & 0.18197 & 0.015314 & 20.8798 & 2.20976 & 0.099391 & 0.0277711 & 0.0981254 & 0.93336 & 0.0278725 \\\\\n", + "\t6 & 2.29651 & 0.00777333 & 1.86592 & 0.955104 & 0.0172446 & 4.94298 & 0.22535 & -0.00750653 & 0.862233 & 0.104112 & 1.36254 & 1.05549 & 0.182084 & 0.017615 & 20.9923 & 2.21011 & 0.0994374 & 0.0277874 & 0.0981254 & 0.933055 & 0.0279051 \\\\\n", + "\t7 & 2.5 & 0.00779158 & 1.86557 & 0.954569 & 0.0172543 & 4.94363 & 0.225393 & -0.00685315 & 0.862169 & 0.104203 & 1.36223 & 1.0552 & 0.182163 & 0.0191986 & 21.0696 & 2.21034 & 0.0994688 & 0.0277984 & 0.0981256 & 0.932846 & 0.0279373 \\\\\n", + "\t8 & 3.0 & 0.00783559 & 1.86468 & 0.953265 & 0.0172781 & 4.94531 & 0.225496 & -0.00516629 & 0.862008 & 0.104423 & 1.36149 & 1.05448 & 0.182353 & 0.0231054 & 21.2599 & 2.21094 & 0.0995428 & 0.0278268 & 0.0981268 & 0.93234 & 0.0279905 \\\\\n", + "\t9 & 3.5 & 0.00787931 & 1.86378 & 0.951974 & 0.0173019 & 4.94703 & 0.225601 & -0.00345042 & 0.861847 & 0.104642 & 1.36076 & 1.05377 & 0.182542 & 0.0270341 & 21.4506 & 2.21154 & 0.0996162 & 0.0278559 & 0.098129 & 0.931839 & 0.0280301 \\\\\n", + "\t10 & 4.0 & 0.00792382 & 1.8629 & 0.950697 & 0.0173257 & 4.94866 & 0.225711 & -0.00181356 & 0.861687 & 0.104864 & 1.36004 & 1.05306 & 0.182727 & 0.0309849 & 21.6417 & 2.21214 & 0.0996941 & 0.0278845 & 0.0981321 & 0.931342 & 0.0280573 \\\\\n", + "\t11 & 4.5 & 0.00797019 & 1.86205 & 0.949432 & 0.0173495 & 4.95011 & 0.225829 & -0.000363746 & 0.861533 & 0.105096 & 1.35932 & 1.05234 & 0.18291 & 0.0349583 & 21.8332 & 2.21271 & 0.0997817 & 0.0279111 & 0.0981362 & 0.930848 & 0.0280804 \\\\\n", + "\t12 & 4.80986 & 0.00800034 & 1.86154 & 0.948655 & 0.0173642 & 4.95086 & 0.225908 & 0.00039351 & 0.861441 & 0.105247 & 1.35887 & 1.05189 & 0.183022 & 0.0374325 & 21.9521 & 2.21305 & 0.0998431 & 0.0279261 & 0.0981393 & 0.930543 & 0.0280836 \\\\\n", + "\t13 & 5.0 & 0.00801976 & 1.86124 & 0.94818 & 0.0173733 & 4.95131 & 0.225962 & 0.000844454 & 0.861385 & 0.105344 & 1.3586 & 1.05161 & 0.183089 & 0.0389556 & 22.0251 & 2.21326 & 0.0998853 & 0.0279352 & 0.0981413 & 0.930356 & 0.0280587 \\\\\n", + "\t14 & 5.5 & 0.00807478 & 1.86039 & 0.946941 & 0.0173971 & 4.9527 & 0.226125 & 0.00222731 & 0.861231 & 0.105619 & 1.35789 & 1.05084 & 0.183257 & 0.042979 & 22.2174 & 2.21384 & 0.100015 & 0.0279624 & 0.0981474 & 0.929873 & 0.0280826 \\\\\n", + "\t15 & 6.0 & 0.00813282 & 1.85951 & 0.945715 & 0.0174209 & 4.95423 & 0.226307 & 0.00376124 & 0.861072 & 0.10591 & 1.3572 & 1.05006 & 0.183417 & 0.0470309 & 22.4102 & 2.21446 & 0.10016 & 0.0279921 & 0.0981545 & 0.929398 & 0.028151 \\\\\n", + "\t16 & 6.5 & 0.00819049 & 1.85864 & 0.944502 & 0.0174447 & 4.95574 & 0.226489 & 0.0052768 & 0.860913 & 0.106198 & 1.35651 & 1.04928 & 0.183576 & 0.0511118 & 22.6034 & 2.21508 & 0.100304 & 0.0280219 & 0.0981625 & 0.928928 & 0.0282604 \\\\\n", + "\t17 & 7.0 & 0.0082444 & 1.8578 & 0.943302 & 0.0174685 & 4.95707 & 0.226652 & 0.00660451 & 0.86076 & 0.106468 & 1.35583 & 1.04853 & 0.183738 & 0.0552207 & 22.797 & 2.21567 & 0.100431 & 0.0280494 & 0.0981716 & 0.92846 & 0.0284071 \\\\\n", + "\t18 & 7.5 & 0.00829117 & 1.85703 & 0.942114 & 0.0174923 & 4.95804 & 0.226779 & 0.00757495 & 0.86062 & 0.106702 & 1.35515 & 1.04783 & 0.18391 & 0.059355 & 22.9909 & 2.21619 & 0.100525 & 0.0280721 & 0.0981816 & 0.927992 & 0.0285877 \\\\\n", + "\t19 & 8.0 & 0.00832739 & 1.85636 & 0.940939 & 0.0175162 & 4.95848 & 0.226851 & 0.00801863 & 0.860498 & 0.106883 & 1.35446 & 1.0472 & 0.184096 & 0.0635101 & 23.1852 & 2.21661 & 0.10057 & 0.0280876 & 0.0981926 & 0.927519 & 0.0287443 \\\\\n", + "\t20 & 8.2176 & 0.008339 & 1.85611 & 0.940433 & 0.0175265 & 4.95846 & 0.22686 & 0.00800427 & 0.860452 & 0.106941 & 1.35415 & 1.04695 & 0.184183 & 0.0653235 & 23.2698 & 2.21675 & 0.100571 & 0.0280915 & 0.0981978 & 0.927312 & 0.0283845 \\\\\n", + "\t21 & 8.5 & 0.00835284 & 1.8558 & 0.939781 & 0.0175556 & 4.95836 & 0.226955 & 0.00790313 & 0.860394 & 0.10701 & 1.35376 & 1.04652 & 0.184276 & 0.0676803 & 23.3798 & 2.21694 & 0.100566 & 0.028096 & 0.0982929 & 0.927045 & 0.0281017 \\\\\n", + "\t22 & 9.0 & 0.0083795 & 1.8552 & 0.93865 & 0.0176265 & 4.95822 & 0.227248 & 0.00775756 & 0.860285 & 0.107144 & 1.35309 & 1.0456 & 0.184405 & 0.0718633 & 23.5747 & 2.21735 & 0.10057 & 0.0281072 & 0.0985708 & 0.926585 & 0.0281268 \\\\\n", + "\t23 & 9.5 & 0.00840743 & 1.85459 & 0.937552 & 0.0176974 & 4.95809 & 0.227556 & 0.00763137 & 0.860173 & 0.107283 & 1.35244 & 1.04469 & 0.184523 & 0.0760601 & 23.7702 & 2.21778 & 0.100584 & 0.0281207 & 0.0988513 & 0.926142 & 0.0281753 \\\\\n", + "\t24 & 10.0 & 0.00843484 & 1.85399 & 0.93649 & 0.0177682 & 4.95796 & 0.227867 & 0.00749715 & 0.860062 & 0.10742 & 1.35182 & 1.04378 & 0.184634 & 0.0802707 & 23.966 & 2.21822 & 0.100598 & 0.0281347 & 0.0991347 & 0.925714 & 0.0282445 \\\\\n", + "\t25 & 10.5 & 0.00845994 & 1.85342 & 0.935462 & 0.0178391 & 4.95779 & 0.228173 & 0.00732749 & 0.859957 & 0.107546 & 1.35121 & 1.0429 & 0.184741 & 0.0844945 & 24.1623 & 2.21862 & 0.100605 & 0.0281471 & 0.0994207 & 0.925298 & 0.0283327 \\\\\n", + "\t26 & 11.0 & 0.00848095 & 1.85291 & 0.934468 & 0.0179099 & 4.95756 & 0.228462 & 0.00709497 & 0.859863 & 0.107651 & 1.35062 & 1.04205 & 0.184848 & 0.0887299 & 24.359 & 2.21898 & 0.100596 & 0.0281559 & 0.0997096 & 0.924892 & 0.0284382 \\\\\n", + "\t27 & 11.5 & 0.0084961 & 1.85248 & 0.933508 & 0.0179808 & 4.95723 & 0.228724 & 0.00677218 & 0.859786 & 0.107727 & 1.35004 & 1.04125 & 0.184959 & 0.0929745 & 24.5561 & 2.21925 & 0.100564 & 0.028159 & 0.100001 & 0.924493 & 0.0285163 \\\\\n", + "\t28 & 11.6253 & 0.00849876 & 1.8524 & 0.933273 & 0.0179985 & 4.95714 & 0.228784 & 0.00667389 & 0.859769 & 0.10774 & 1.34989 & 1.04106 & 0.184987 & 0.0940396 & 24.6056 & 2.2193 & 0.100551 & 0.0281587 & 0.100075 & 0.924393 & 0.0285344 \\\\\n", + "\t29 & 12.0 & 0.00850619 & 1.85213 & 0.932582 & 0.0180516 & 4.95681 & 0.228965 & 0.00635189 & 0.859721 & 0.107777 & 1.34947 & 1.04049 & 0.185071 & 0.0972251 & 24.7535 & 2.21946 & 0.100511 & 0.0281579 & 0.100296 & 0.924103 & 0.028547 \\\\\n", + "\t30 & 12.5 & 0.00851663 & 1.85176 & 0.93169 & 0.0181225 & 4.95634 & 0.229216 & 0.00587854 & 0.859651 & 0.107829 & 1.34892 & 1.03973 & 0.185172 & 0.101481 & 24.9514 & 2.2197 & 0.100464 & 0.0281595 & 0.100593 & 0.92373 & 0.0285654 \\\\\n", + "\t$\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ & $\\dots$ \\\\\n", + "\\end{tabular}\n" + ], + "text/plain": [ + "111×21 DataFrames.DataFrame. Omitted printing of 15 columns\n", + "│ Row │ t │ g │ z_hat │ Ω │ E │ v_1 │\n", + "│ │ \u001b[90mFloat64⍰\u001b[39m │ \u001b[90mFloat64⍰\u001b[39m │ \u001b[90mFloat64⍰\u001b[39m │ \u001b[90mFloat64⍰\u001b[39m │ \u001b[90mFloat64⍰\u001b[39m │ \u001b[90mFloat64⍰\u001b[39m │\n", + "├─────┼──────────┼────────────┼──────────┼──────────┼───────────┼──────────┤\n", + "│ 1 │ 0.0 │ 0.00756757 │ 1.87018 │ 0.961287 │ 0.0171352 │ 4.93439 │\n", + "│ 2 │ 0.5 │ 0.00761231 │ 1.86924 │ 0.959917 │ 0.017159 │ 4.93631 │\n", + "│ 3 │ 1.0 │ 0.00765699 │ 1.8683 │ 0.95856 │ 0.0171828 │ 4.93828 │\n", + "│ 4 │ 1.5 │ 0.00770172 │ 1.86736 │ 0.957217 │ 0.0172066 │ 4.9402 │\n", + "│ 5 │ 2.0 │ 0.0077466 │ 1.86645 │ 0.955886 │ 0.0172305 │ 4.942 │\n", + "│ 6 │ 2.29651 │ 0.00777333 │ 1.86592 │ 0.955104 │ 0.0172446 │ 4.94298 │\n", + "│ 7 │ 2.5 │ 0.00779158 │ 1.86557 │ 0.954569 │ 0.0172543 │ 4.94363 │\n", + "│ 8 │ 3.0 │ 0.00783559 │ 1.86468 │ 0.953265 │ 0.0172781 │ 4.94531 │\n", + "│ 9 │ 3.5 │ 0.00787931 │ 1.86378 │ 0.951974 │ 0.0173019 │ 4.94703 │\n", + "│ 10 │ 4.0 │ 0.00792382 │ 1.8629 │ 0.950697 │ 0.0173257 │ 4.94866 │\n", + "⋮\n", + "│ 101 │ 71.0 │ 0.00882318 │ 1.84281 │ 0.911664 │ 0.0199934 │ 4.95043 │\n", + "│ 102 │ 72.0 │ 0.00882304 │ 1.84281 │ 0.911659 │ 0.0199951 │ 4.95043 │\n", + "│ 103 │ 72.6 │ 0.00882282 │ 1.84282 │ 0.911656 │ 0.0199961 │ 4.95043 │\n", + "│ 104 │ 73.0 │ 0.00882265 │ 1.84282 │ 0.911655 │ 0.0199967 │ 4.95043 │\n", + "│ 105 │ 73.8 │ 0.0088222 │ 1.84282 │ 0.911653 │ 0.019998 │ 4.95043 │\n", + "│ 106 │ 74.0 │ 0.00882203 │ 1.84282 │ 0.911653 │ 0.0199984 │ 4.95044 │\n", + "│ 107 │ 74.4 │ 0.00882162 │ 1.84282 │ 0.911652 │ 0.019999 │ 4.95044 │\n", + "│ 108 │ 74.7 │ 0.00882118 │ 1.84282 │ 0.911652 │ 0.0199995 │ 4.95045 │\n", + "│ 109 │ 74.85 │ 0.0088202 │ 1.84282 │ 0.911652 │ 0.0199998 │ 4.95046 │\n", + "│ 110 │ 74.925 │ 0.00881999 │ 1.84282 │ 0.911652 │ 0.0199999 │ 4.95047 │\n", + "│ 111 │ 75.0 │ 0.00883096 │ 1.84262 │ 0.911652 │ 0.02 │ 4.95047 │" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ "@time result = solve_full_model(merge(settings, (transition_iterations = (changed_parameters ? 10000 : 0),)); \n", " impose_E_monotonicity_constraints = true, \n", - " write_data = true, # change to true if you want to cache results\n", + " write_data = false, # change to true if you want to cache results\n", " read_data = true, # change to false if you want to ignore any existing cache\n", " run_global = false)\n", "\n", @@ -539,27 +579,6 @@ "end" ] }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "ename": "UndefVarError", - "evalue": "UndefVarError: E_nodes not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: E_nodes not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[19]:1" - ] - } - ], - "source": [ - "E_nodes" - ] - }, { "cell_type": "markdown", "metadata": {}, @@ -570,7 +589,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -589,18 +608,14 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 20, "metadata": {}, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[21]:1" + "name": "stdout", + "output_type": "stream", + "text": [ + "Utility immediately after change 20.125091306477238\n" ] } ], @@ -621,19 +636,18 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 21, "metadata": {}, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[22]:1" - ] + "data": { + "text/plain": [ + "0.04824173792862267" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -651,7 +665,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 22, "metadata": {}, "outputs": [ { @@ -671,18 +685,14 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 23, "metadata": {}, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[24]:1" + "name": "stdout", + "output_type": "stream", + "text": [ + "Inclusive of the Transition Path: 9.023466937515078\n" ] } ], @@ -709,19 +719,16 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 24, "metadata": {}, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[25]:4" - ] + "data": { + "image/png": "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" + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -754,19 +761,18 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 25, "metadata": {}, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[26]:1" - ] + "data": { + "text/plain": [ + "50.848692012905175" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -782,19 +788,16 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 26, "metadata": {}, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[27]:1" - ] + "data": { + "image/png": "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" + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -813,21 +816,18 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 27, "metadata": { "scrolled": true }, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[28]:1" - ] + "data": { + "image/png": "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" + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -847,19 +847,16 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 28, "metadata": {}, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[29]:1" - ] + "data": { + "image/png": "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" + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -891,21 +888,18 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 29, "metadata": { "scrolled": true }, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[30]:4" - ] + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAGQCAIAAAD9V4nPAAAABmJLR0QA/wD/AP+gvaeTAAAgAElEQVR4nOzdeVwU9f8H8PfM7Am73DcinoDiBd6KF94H3lrelllpWpqWpmmXZZplZX4rLdL8/tSvmleZiqGQiPeBigreByI37C57zc58fn+srQSKuhyzx/v58A/2PbMzb0B4MdfnQxFCACGEEHJWtNANIIQQQkLCIEQIIeTUMAgReg4REREURQm1d4qiKIpq0qTJk65oNG3a1LxOxUVTpkx55ZVXzB8bDAa9Xv+kpQg5GwqvESL07CIiIjIyMoT6qbEk3IULF5o1a1Zu6aVLlyIjI80fl+tw//79Q4YMuXr1akhICDzus7h9+3Z4ePju3bv79OlTg58AQjYJjwgRsicKhQIAtmzZUnHRtm3bLCuUZTKZpk+fPnnyZHMKPlZoaOjEiROnT5/OcVy19ouQHcAgRMieBAcHR0dHb9mypeJR6bZt26Kjo4ODg8vVd+zYcePGjcmTJ1e+5cmTJ1+/fn3nzp3V2C1CdgGDEKEqIYSsW7cuNjbW29u7Tp06/fv3379/f8XVNm/e3KtXLw8Pj6CgoPnz5xsMBoqiIiIirNjjqFGjMjIyLl68WLaYmZl54cKFkSNHVlx/5cqVDRs2bN++vfklRVEZGRnwzxVHy2odO3Zs0KDBl19+aUVLCNk1DEKEqmTy5MkvvfTSmTNnOnbsGBERkZyc3K9fv08//bTsOnPnzh0zZszJkyc7d+4cGRn57bffvvDCC1bvcdSoUVDh7Kj5vGjFILx///7Ro0d79eplybxVq1b5+fmZP1i1apVlTYqievXqdfTo0ezsbKt7Q8guEYTQMwsPDy/7U7N3714AaNmy5f37982VixcvBgYGisXiq1evmitHjx4FgObNm2dlZZkrly5dCgoKAoDw8PDn2rvlLdHR0WFhYTzPWxZFRUW1bNmyYofr1q0DgHXr1lXyWVjEx8cDwK+//vpcXSFk7/CIECHrmY+ovvnmm8DAQHMlMjLy/fffZ1n2xx9/NFdWrFhhXsccfgDQpEmTRYsWVWW/o0aNyszMPH/+vPnl9evXz549+9jzoikpKQDQqlWrZ9msebXDhw9XpTeE7A4GIULWy8jIkEqlXbp0KVs0P4GQmZlpfpmeni6VSrt161Z2nd69e1dlv+azo1u3bjW//O233+Bx50UB4N69ewDg6+v7LJs1r5aVlVWV3hCyOxiECFkvKysrICCApv/1c2S+b/POnTvml7du3aq4juXo0DoNGzaMioqy3Du6bdu2Zs2aPfbWmwcPHgCAl5fXs2zW29sbAPAaIXI2GIQIWS84OPjBgwc8z5ctmoPE8hjDY9fJycmp4q5Hjx599erVtLS027dvnzx58rGHgwAgkUgAwGQyPcs2zauJxeIq9oaQfcEgRMh64eHhBoPBfB3O4sCBAwBgOT6LiIgwGAzlLrwlJiZWcdeWe0e3b98OTzgvCgABAQEAUFBQ8CzbNK9mud6JkJPAIETIejNmzACAt956y3KEl56e/tFHH4lEoldffdVcmTlzpnkdyynHzMzMDz/8sIq7Np8d3bp169atW5s0aWIZXK2cevXqwRPOdpYbbtSymvktCDkPDEKErNevX78JEyacO3cuIiIiLi6ud+/ebdq0yc7O/vjjj8PCwszr9O3b9+WXX05LS2vSpMnAgQP79esXFRVlfo7Q3d29KnsfNWrUtWvXjh49+qTDQQCIjY0FgJMnT5YtmodhGzVq1KxZs8rWT506BQA9e/asSlcI2R+hn99AyJ5UfAKP5/n4+Pju3bt7eXkFBgb27ds3ISGh3LvM63Tq1MnFxSU0NPSrr77Kz88HgIEDBz7X3uHfjx5evXrV/FOclpb2pA5LSkpEItGYMWPKbmfPnj0NGjQQi8X+/v5l62PGjBGJRCqV6rm6Qsje4ewTCNWswsJCrVbr5+dnvm/F7OLFi82bN580aZL5gfcaNWLEiOTk5Pv375dtoCKj0RgUFNStWzfzwxgIOQ88NYpQzVq1alVISIh5CDQL8wBp1o01+rzmzJlTUFBgHgSnEnv37i0oKJg7d24ttISQTcEjQoRq1okTJ9q3b+/v77969epevXoVFRVt3br1vffeo2k6IyOjfv36zzjTb1V+VLt16+bm5vb7779Xsk5cXJxGozl06JDVe0HITmEQIlTj5s+fv2zZsnLFVatWmW86fcbjwitXrljdwJUrV6KiopKTk9u1a/fYFY4fP969e/dz586ZLzEi5FQwCBGqDfv371+/fv3Vq1e9vLxatGgxcuRIy7xIteP777/PyspasmTJY5cuXLiwTp0606ZNq82WELIRGIQIIYScGt4sgxBCyKlhECKEEHJqGIQIIYScGgYhQgghp4ZBiBBCyKlhECKEEHJqGIQIIYScmjBBWFBQsGrVqmdfX6PRlJvgG9kCtVotdAuoPI7jSktLhe4ClceyrE6nE7oL9HjCBGF+fv5333337OtrtVp88N/WEELwF64N4nkef+HaIJPJZDAYhO4CPR6eGkUIIeTUMAgRQgg5NQxChBBCTg2DECGEkFPDIEQIIeTUMAgRQgg5NQxChBBCNsdYi4+OYxAihBCyIdlaGJnITT3M1doeRbW2J4QQQqgSBODnDP6d41yxEQBgXCO6TzBVC/vFI0KEEELCu6YiPfeYph5+mIIUwJEHtXR6FI8IEUIICcnEw5cX+I/OcjrTw0oL5dGP24UPqe9fOw3gESFCCCHBnMkn7XaZ5p98mIIimgzz/cLDtOLo7R9rrQcMQoQQQgLQmWDeCa79btPZgodzKrT2oU4OEQ9uUB8AjmadSrpzpHY6wVOjCCGEatvB++S1FO6a6mEEuojgo9bMrEhaREOkx8iDt1Oi/Vu0DYyqnWYwCBFCCNWeIgPMPc79ksmbM1AEpTEem5bGDO0QEGheQcyI1/ZfKWUktdYSBiFCCKFasvUm/2Yq9+CfGTO9pWx72VyNIfe3yzkdAj60rFabKQh4jRAhhFAtyColQw5woxMfpeDoBnT6SJfREb0B4MT9M+dyLwrVGx4RIoQQqkEEYM0Vft4JrsT4sFLHlVrdiR4cSgPA2MgR5/PShzbu38qvmVAdYhAihOxGVlYWy7JCd2ENvV5vNBqLi4uFbqS23VCT905yJ/IevnSjr7Vy3fpB29caEL9btx4WZzZ4GTi49c9riUQSFBRUm01iECKE7EbPnj3VarVYLBa6EWsQQiiqNgYMsx1GHlgeCAFvAACgKUKB4QrAeGqv5AlXAVmW9fHxSUtLq80+MQgRQvYkMTExIiJC6C5QTUlLS5s4cWIt7xRvlkEIIeTUMAgRQgg5NQxChBBCTg2DECGEkFPDIEQIIeTUMAgRQgg5NQxChBBCTg2DECGEkFOzPgiLiori4uK8vLwGDx5cVFRUbqnJZJo+fbqvr2/nzp2zsrKq1iRCCCFUU6wPwmXLloWGhmZnZ9etW3f58uXlln799dcqler27dudOnX64IMPqtYkQgjZruoaOI2iqLFjx5atjBs3rpZHZau4O2cYFs76INyxY8eMGTOkUumMGTO2b99ebunGjRvfeecdFxeXxYsXT5s2rWpNIoSQU0hKSjIYDOaPjUZjUlJS5ev36tWrehuYN29euS1bKlVU+UlEYVk/1mhWVlZoaCgAmI8Lyy29ffv2pk2bevTo0aBBg19++aXi23NycoKDgyvW58yZM378+HLF/Px8juMYhrG6W1TtCCH5+fk0jZeZbQvLsmq1mud5oRupEY/9vEht7b0WjoxiYmIOHDgwaNAgADh48GDnzp23bt1ayfqJiYnV28Dnn39ebsuWShWZTyJu27Ztzpw5y5cvX7p06ZPW5DguNzf3ebfv7u4ulUqt6836ILSMpE4I4Tiu3FKVSkUISU9PX7169dSpU48dO1ZuBR8fn7/++qviZj08PJRKZbkix3He3t4YhDaFEGIymby9vYVuBP0Ly7IikchRvy8V//DafJ0fc6j8758a8kIDenPsE38LFRYWzpo168CBAxRF9e7de+XKlV5eXiqVavbs2Xv27HF3d1+wYMHkyZMJqSy4hw8f/ttvv5mDcMeOHcOGDaskCIcOHQoArVq1OnfuHEVRv/766zvvvPPgwYPdu3cvXrz41q1bcrl8zpw5c+fOBQCKojZt2rR06dJ79+4tWrRo1qxZABAfH79w4UKWZRcvXvzmm2+aVyOElNsyIeSxn92TNvtYO3bs2LVrl/kk4pAhQyoJQoZhrPgPXJU/yq0PwqCgoLt37zZu3DgrK6visZ2vr++sWbMCAwNnzJjx9ddfV3w7wzD16tV7xn0x/7C6W1TtCCH4TbFBPM/j90UQs2bNkkgkN27cAIA333xzzpw5v/zyyzvvvAMAN27coGn6rbfeeupGBg4cOGfOHJZlGYbZt29fxdsvytq5cydFUefOnTO/PH78uPkwbtGiRRMmTJg9e/b58+c7dOhgDkIAuHPnzrlz5w4dOjRo0CBzYs2ZM+fvv/+WSqVvvPGGOQgfu+UnfXZP2uxjVX4SsZxa/g9sfRDGxcXFx8d/9tln8fHxQ4YMMReTkpK6d+8OAH379l23bt3bb7+9Zs2aNm3aVEuvCCFUTm3eyVH5vv78889Lly7J5XIAWLJkSYsWLQBg586dFy5ccHFxAYCPP/54zZo1le9CqVS2bt06KSnJxcWlWbNm7u7uz97eBx984OvrCwBnz549efLk+vXrk5OTjUajZYVp06ZRFBUbG6vT6cyVrl27LliwYOLEiXv37q1844/97J602ceq/CSisKwPwsWLF48bNy4kJCQ6OnrDhg3mYo8ePcwH/kuXLp0wYcKyZctatmz5888/V0+zCCH0by80oF9oYCsXqi03WFIUZf5dz3GcpfiMRznms6MKhWLYsGHPtXdzCgLA6NGjJRLJmDFjli5d+uuvv1pWqHjVaefOnQkJCevWrVuzZs2BAwcq337Fz+5Jm32syk8iCsv6/0AeHh579uy5d+/e7t27LX+2WE5/BwQEHDhwoLi4ODk5uVGjRtXQKUII2bD+/fsvXLhQr9frdLqFCxcOGDAAAAYNGrRgwQKdTqfX6xcvXvws2xk8ePAff/yxe/fuwYMHP8v6LMuWqxw4cGDhwoWDBg3at28fAJhMpie9t379+vXr11+8ePHp06cr3/JjP7vnYj6JSAgpexLRRtjKX1IIIWTXvv76a51OV69evQYNGhiNRvO9EStXrtTr9SEhIa1bt+7UqdOznOr08vJq2rRpYGCgn5/fU1ceMGBAw4YNyxU/++yz7t27N2/evKCgoG/fvlOmTHnS2999992OHTt27979iy++qHzLj/3snsvixYvPnz8fEhKSnp7+/vvvP+/baxRV+S1MNSQjI2Pw4MEZGRnPuH5ubi7eNWprCCE5OTkBAQFCN4L+hWXZkpISHx8foRupERERETt37oyIiBC6kWe1e/fuli1bmm8SycjIiIuLy8zMFLopm5aWljZx4sS0tLTa3CkeESKEUE1JSUmZMWNGbm5uVlbWvHnzRo4cCQDU41S+HSveIhQ7atUCgxAhhGrK4sWLPTw8wsLC2rRp4+/vv2DBAgAgj1P5dqx4i1DsqFUL6+8aRQghVDmFQmG5qR7ZLDwiRAgh5NQwCBFCCDk1DEKEEKoSx56GyRlgECKEkK143mmYKqr2iZkqZ8uTKz07DEKEELIV5mmYzB+bp2F63i1U+8RMlat8hnZ7gXeNIoTsmD79WNHW1Va8UeQd4Duz/HAq5ZgKc/K+nWt5KW/WwWPkG09aufanYYIK8yhZpk/at2/fzJkzk5OTFQpFTEzMsmXLAgMDAaDiDE2FhYUzZ87ct2+fp6enZQKKqVOnNm3adPbs2QAwZcqUyMjIt99++7ENPPvkSrYMjwgRQnaMN+i54jxr/pUUPH3rnKnsW/hSVSXrWiYqun79ukQimTNnDgBYpmFKS0tLTU196g4HDhyYkJDAsizP8/v27XvqkJ5z5sxJSEhITU39/fffAWDnzp0AcO7cualTp44cOfL27dtnzpxp2LDh1KlTzesvWrRo/PjxBQUFf/7558KFCwHAPDnUzZs309LSzpw5Y15txIgRO3bsAACDwbBr164XX3zxSQ081+RKNguPCBFCqBoIMg3Tk+ZROnTo0B9//GF5aZmYouIMTX/++Wd6erqbmxsAfP755+vXrweA2NjY8ePH5+TknDhxIioqKigo6EkN2PLkSs8OgxAhZMfkzToGfvDr09eriHn6bz+Rd0DZjVMSWeXr1/40TE+aR8nT0/P8+fMNGjQAgNLS0oKCh4e/FWdoKjuxu6VViUQycODA3bt3JyUljR8/vpIGbHlypefw2OFwatqVK1fCwsKeff2cnByTyVRz/SAr8DyfnZ0tdBeoPKPRmJeXJ3QXNSU8PPzy5ctCd1Ge+Rfp+PHjp06dqtPptFrtK6+8MmHCBELIpEmTXnnlFa1Wq9Pppk2bVvmvXPPSgoKC4ODgxo0b5+TkWIpPEhoampGRcenSJU9PT8tGjEbjm2+++corr5SWlubk5PTs2fP11183L3Vzc7t48SLP8+ZpYlmWnThx4rhx41QqlUajeemllyy72717d7du3Xx9fUtKSippYPbs2fPnz+d5fv78+XPnzn3Gr1glzp0716JFi6pv57ngNUKEEKoGgkzDVHEeJfP0SUuWLOE4rn79+pGRkfXq1VuxYoV5acUZmlauXMnzfL169Vq0aNGtWzfLlnv37n369OnY2FjzWdMnseXJlZ4dTsOErERwGiabhNMw2RS7noapffv2ixYtMt/CWmtwGiaEEHIodjoNE8uyZ86cuXv3bp8+fQRpoJZhECKEUE2x02mYfv/99/79+69evVoikQjSQC3Du0YRQqim2Ok0TMOHDx8+fLjQXdQePCJECCHk1DAIEUIIOTUMQoQQqhKnnYapZcuWIpFIJBJRFGX+oHXr1jXXW83BIEQIIVthX9MwpaWlmUwmk8kEAOYPTp8+XWt7r0YYhAghZCvsbhomx4BBiBCyY6cfpM1ImDcjYZ7eZLAU87T55mJm4fWyK889+MGMhHmJt/4uW/z21NoZCfN+Ob+pbHFn5p8zEuZ9nPKUeZrKKiwsnDhxYmBgYFBQ0KRJkwoLCwFApVJNmTIlICAgPDx8/fr1Tz3xaB5o1PyxeRqmytePj48PDAz08fH59ttvAcAyDdODBw9GjRrl5+fXoEGDiRMnWuaF2L17d6tWrTw8PAIDA83DzRQWFo4bN87b27tRo0bmjQDA1KlTV65caf54ypQpX3311bN/HewRBiFCyI4VG1QX8i5fyLvMkUdTHxg4o7moMZaWXTk9/8qFvMu52vyyxRvFty7kXb6jule2mK3JuZB3+UrhtWfvxDmnYXIM+BwhQghVA+echskxYBAihOxYm4CW3/X5HADkokdzJPm5+JiLDTzqlV35y9iPOcIFuvqXLb7V5lUNW+ou/VfkDAsfGBPSXsJInqsZJ5yGyUFU0ywWzwenYXIAOA2TbcJpmGofOPE0TGU7rxY4DRNCCNkr55yGyTHgNEzISgSnYbJJOA2TTcFpmJ4XTsOEEEIOBadhsgsYhAghVFNwGia7gHeNIoRQTcFpmOwCHhEihBByahiECCGEnBoGIUIIIaeGQYgQQsipYRAihBCyPTz39HWqCQYhQgghG0I4U0H8xwUbltXaHq1/fKKoqGjixIlHjhyJiYlZv369p6dn2aWdO3e2zDny2muv/fDDD1VqEyGEALy9vd955x1bG/SLJ6DngCeEAiMBhoBIQoOEgXIPnBNCHOkh9BpB+KKCAq44X3c+FSiK7XtbHBBaC7u1PgiXLVsWGhq6bdu2OXPmLF++fOnSpZZFhJArV67cu3fPPLCeSIRPKyKEqsHGjRtTUlKE7uIRloedt/k/7hCOQD3RZhmVQyj5yCaTmni6lFvTaDSaTCbzfEzosbRnkvXpx4EC9zZ1zBXDldO1E4TWjzUaHh6+a9euiIiIK1euDBkypOzAoQ8ePGjcuHF4eHhGRkbPnj3XrFlTbvTYjIyMHj16WOaKLKtHjx5t2rQpV8zLy/Py8sKxRm0KISQ3N9ff3//pq6JaxLKsSqXy9vYWuhHHdyyfnnFClKF6eJDnLb7aTPweQ9Hvtp7ZOahduZV1Op3RaHyWQbedFnv1XOn6JQAAFCVu1lHWfSTjX/fZ3y6Tyaw+6LL+WC0rK8s8kmxoaGh2dnbZRQ8ePGjbtu1XX31Vt27d2bNnv/XWW5s2baq4Ba1WW7HIsmzFbHa8EX0cAH5TbBN+X2qBiqU+OC/acL3USJTmSmdfflXbupfzJ7bwbhLqFoK/xKwgatSSqRtOe/hJuw9nfOsAQK19uaw/InR1dS0oKJDJZFqt1tfXt7S09LGrZWdnR0ZGFhYWli3i7BMOAGefsE2OPfuELdh1m38jlTPpkxqI199kJ+iY2GXtmFcj6Mqv/ul0OoPB4OHhUUtd2ifCmShGgEtp1t81GhQUdPfuXQDIysoKDg4uu+jMmTOWO2UkEolUKq1KiwghZAtydDAxiRt6gLtfygeL9ogpVbj015RBpa89LQXRMxIkBaEqQRgXFxcfH08IiY+PHzJkiLmYlJQEAKWlpcOGDbt8+bLRaPzkk0+GDh1aLb0ihJAgCEB8Jt9kG7vhGg8ABOgi+nWKogNdXWVU4VPfjoAQTmW7Xyjr43fx4sXjxo0LCQmJjo62DK/eo0cPQkhMTMwHH3wQFxdXUlIyYMCAVatWVVO3CCFU266pyGsp3KkHl1V8OABFAUwJp79oH3Epb2HrgJZSRiJ0g7aNEP2l4yV7/wuE+M/9DmzyARLrg9DDw2PPnj3liuYrjhRFTZ8+ffr06VVqDSGEBGXi4auL/CdnNHXoH1pJU66yrytc+/wYw/QIpACgU3BboRu0bTynPZ2k+muzKeeuuaC/dFwW2UHYph4Ln/BDCKHHOF9IXjnMncwjADK5NAcAmkj/79f+nYMV+AjEUxDOpD11UH1gsyn/vqVISeVciY2eHcUgRAihf9GZ4MMz3FcXeRNvLlCM62u0fl5saBuF2BbP7NkOwpl0Z5JU+zeWi0BFTJyy5yjaRSlgb5XAIEQIoUcO3ievH9aW6v4y8f0BKBcRfBjNzG4WllP6n2BloNDd2S7CGkuP7VMnbuWK8yxF2kWp6DZM0W0ILXMVsLenwiBECCEAgCIDvHOC23g1p7lkcaA4lxBRU/++P8YwDd0oAMAUfBJiNJQe/VN9cBtXUmAp0gp3Zffhii6DKalcwN6eEQYhQgjBtpv8zFTugQ4AfFjiLqNyI13+u6VnjKcUrwg+ETHqS4/uUx/cWi4CFTFxiu7DaZndDKyKQYgQcmpZpeSNVH7Xbf6fAlXPbxqn+eT1qIkeUtua5sJ28Hqt5vAuTdIOvlRlKTLu3sqeo1079qfEdvZICQYhQshJEYANV/kFx6+58AkArwJQgS6wqiMzon4jlvtJzIiFbtB2lez4sfT4fstLxstP2XO0a/u+lMguv2gYhAghZ5RRQqYe5tJyr7SULKIYTisKHdx4wOftGDcxAACmYOUUsSNKTyQAISIvf0W3Ya6dBtjdUWBZGIQIIefC8rD8PL/kLKfnACBMQxooqastXbd+3aGvBEf2fzZi/7rKHiPEAaEubWKBtvsvGgYhQsiJnC0gUw9zp/MfzrojoqnO9adLDBtmt3tVgoOlPQ/3wa8I3UK1wSBECDmFUhMsPGnalpngTR+hYDEBur0ftTaGae7VEOBDobtDQsIgRAg5vv33yOtHuFJdShPxDwBQT7L/rehBMyJpBgeKqYArzDUV3Jc2biV0I7UHgxAh5Mjy9fD2Mc48fRJAp2Bmjxud0d3n8JvN4jAEyzEV5miStpem/km7KAIWrbfr+1+eCwYhQshhbb3Jv5mqfqB7+GS3p5Qa02x6kPjUC02HUYA5+IipIFuduLX02H7gOQDgVEWlxxMUMYOE7quWYBAihBzQHQ157XDenbyfg6jcHPicAD2uEb2yA+Mrqw9QX+jubAj74LY6YZP23N/AW4YUAGmjFpJgJ/oqYRAihBwKAVh7hZ97nHPlT4dJjgJAE/m+T2PihobSQrdmW9jsW+qDW7WnD5WNQEn9SPf+E6RhTnSBEDAIEUKO5GoJeTWFS8omAKCGngH8IXcmY2pYAaZgWca7V9UJG3UXjwEhlqKsaVu3PmMl9ZoI2JhQMAgRQo7AwMEnZ9WrLpSoOH9zpZkn/VH0jAYKbTPfCGF7sx1s1nXVgc26tJSyESgNi3IfNFlSN1zAxoSFQYgQsnupOeSN5GMy4w+NRB5n+WUiinm7Of1RNCNl6grdmq0w3kxX/bVFn378UYmiZE3bufUbJwkJE64vm4BBiBCyY1oTfHyWW3Ge92VKwsRFEqqok8feNT2HNvXAm0IfMly7oNq3wXDt/KMSRblEdVP2GSMOCBWuLxuCQYgQsld/3iXTjnB3NAQAHphig0RJ3uLshW0DMAXL0l8++SgFKUreMsa9/0SRf4igTdkWDEKEkP3J1cGbhy/vucdo+Id3+Q8IoZdEvR3mqXAV2818sLVDGTtSk/I7mFh5dDe3PmNFvsFCd2RzMAgRQnZm603+w9QNPrA9TFzvrHGZn4xZ3o6Z2JgG8BO6NVtEu7p5jZ0jDmks8vIXuhcbhUGIELIbN9Xk9RQuIYv4iwJ9xERB3xzg++e6PsN9ZEJ3ZtvkLWOEbsGmYRAihOwAT+CnDH7OcU7DAgDkmLrXkyQ385J+2iUGUxBVEQYhQsjWnc03zTi0/aI6UsOHAYCIhulNmEWtFvnInTsDeU57+hCnKVH2GCF0K/YNgxAhZLv0HHyexu1KX+xGX2wsDj1j/KK5p2htF6adLwVg9xOjW41wJu3JRPWBzaaCbEoidW3bk1Z4CN2UHcMgRAjZqORsMjWFu1pC/JlYN8lFV/r29IZ/f921j8iJh0sjJrb0+Noih3IAACAASURBVH514hauMPdhxWjQJO9yGzhJ2MbsGgYhQsjmlBhh8Wnuu0s8TwAAcriu4aJjo8OaT2vVi3bWRwQJZ9IeT1AlbOSK8y1F2tVN0WWwottQARtzABiECCHb8suV+6tPr7lqGMGTCADwkMAX7UVTwt931gQEYtRrjuzRHNrGqYosRVrhoewxQhEziJLKBezNMWAQIoRsRbYWZqQa7z1Y5ErlNRbnnzGsGF5fvKojE+isj8gTg6702H514hZOVWgp0goPZY/hii5DKIlUwN4cCQYhQkh4BGDDVf7tY1yBgfITjY0Qf+NC3/uyzZXZrZxrYjwLYtBpUn5XJ27ltWpLkVF6KroPU3QdSoklAvbmeDAIEUICSy8yvJHKJGc/nBgoz9S1o/f1xe16Rvs3FLYxQfBatSZ5p+bvXbxOYymKvPyVvV5wad+HYvCXdvXDrylCSDAsD+8cSTlxe81l42yAZgAQ5k6t7cJ0DXhV6NaEoUnaXrJ3AzHoLBWRT5Cy94subWIxAmsOfmURQsI4lU9eSVbL9WslVHEj8U/n2RVzW0gWRTEy530+EEAktqSgyDtQ2XOUa4e+QDvzV6Q2YBAihGqbzgQfneVWnOc5IvdjJkdIVsoYw86uBf1D6wjdmsBc2/dVH9hMyxXKPmNcoroB5bS3ytYqDEKEUK367ca9BacDMkseXhFUUzHNgvTLY3q4ip17vDQAAKDEEt+ZK0TeARiBtQmDECFUS+5pNNP/+qmk9FCO8SOASADoFkitiWHC3PsL3ZoNEfkECt2C03HioYoQQrXo9zt8p9/5XM05ABIm/sFLwv4YwxwaKApzd6ZDH0KE7gA9Bh4RIoRqVrYWZqRy22/xAHI981ITyZce8none/MN3JzoD3FT7l39X1sKRYzXpPeE7gWVZ+V/xKKiori4OC8vr8GDBxcVFT12nYsXL7q6ulahN4SQfTNwxkXHUiO2sttv8eaKWNr5xRbLEkbMb+CmELa3WsM+uF34f1+UfDPLdCFFe+5vNvuW0B2h8qwMwmXLloWGhmZnZ9etW3f58uUVVygpKZk8ebJWq61aewghe5WcdbvPlpl/X19GcxcBgAJ4NYK+PEo0rXkToVurJey96wXxH+cse117MhF4HgCAEP2lE0L3hcqz8tTojh07du3aJZVKZ8yYMWTIkKVLl5ZdSgiZPHny/PnzR40a9aQt8Dyfl5dXse7q6iqTlb95jOd5nucpvI3KlhBCzN8XoRtB/8L/Q8AeWB5WXiSfnPVoLjZIKdJY/EOJbOX3naTdAykAp/gvY7yToU7YbLh84tFFQYpiGkd5DpggqRvuFF+CWkfT1p9ptzIIs7KyQkNDAcB8XFhu6bJlyxo2bDhy5MhKtpCbmxsWFlaxPn/+/MmTJ5crFhQU8DzPMPhUqQ0hhBQUFOA3xdawLKtWq4lwN2WcKhLNSXPNUDMALjfg5caS7xt69vo8WiVjqMf96etoyL2rfOpu/vr5RyWKosOiTW36a939aLk7OMNXQQgeHh5SqZWjkFsZhIQQ8/EZIYTjuLKLDh06tG/fvgMHDlS+hYCAgIyMjGfcHUVR3t7e+DvXpph/1fr7+wvdCPoXlmVlMpmPj0/t7/pK4d1PTx3bdHco908KN/LutLJDq3Z+brXfTO0z3EhXJ27Rpx9/VKIoWdN27v0niOs00ul0BoPBwwPnkbdFVgZhUFDQ3bt3GzdunJWVFRwcXHZRYmJicnKyRPJwcHSKog4fPhwTE1PVThFCNmxV2sltF5cCcEqqQTFpoRTDZ22Z6U1omnL8FDRknlPt/z/D9QuPSjTtEtVd2edFsX9d4fpCz8rKk6pxcXHx8fGEkPj4+CFDhpiLSUlJALBkyRLyDwAghGAKIuTA8vQw7hA3+2S4gbgBkEbi+IEhkD5SNKMp7fCzyesvn8r95u28/8x/lII049qud8B7a70mvIspaC+sPCJcvHjxuHHjQkJCoqOjN2zYYC726NFDwCsTCKHa9+vDSQQBQH6dfaWe5PfJUdPeaCYWuq/aULR5Zemx/ZaXFCNyadtL2fsFkTcODWNnrAxCDw+PPXv2lCtWTEHMRYQcEk/Ir+n7N2TcOFg01VLsUbfj6s6dfWWOfhj4D1mzjuYgpBiRPLqbW9/xODqancKRZRBCz4cj8GbSrov34wHAk25bxLeqr6R+jGF6BztLBJrJI9tL6jeVhDRW9hzNuHsL3Q6yHgYhQug5nC8krxzmzuTFtpHtklIFdcR/vBQW/UlrxsUJf5dQlN+bX+I0EQ7ACf/zIoSsoWG5FRdg6TneyAOA/Bo7taHr9R+6je7k78TPNWEKOgQMQoTQUxTqij5MXXc813SidJa5ImNgTnSHuc07iR103GzCmfiSQsbLT+hGUG3AIEQIVabECK8k7i4oOSQD8KS7F/Gt/plE0DEPhghrLD2+X/3XFsbd22/210K3g2oDBiFC6In+uEOmH+Hua4e3kSZLqQI/yeUPWrWeGemYDwgSE6s9cUC1//+4kgIA4Irz9FdOyyJaC90XqnEYhAih8vQm/V0N+95pl99umoeHlmWyb3T2F23q3iLIxQEzkBh0miN7NId+49SPJpVj3DyJHufPcQoYhAihf0nNOrUk9YcsQ6Pz+jnmSqALfNcpang9B7weyOu1pYd3q5O286UqS5Fx91bGjnLtNIASSwTsDdUaDEKE0CPXVeT94+c5Y64HlevFdCvi2oxvRK/syHhbOay/7SIGnSbld3XiVl6rthQZTz9l9+EYgc4GgxAhBABg4mHFBf7js5zRNKq17AgDxjou3Pauom6BjnYulC9VaQ7v1iTv5HUaS5Hx8lN2wwh0UhiECDm7q0U37mjd555wP1dgHhNRlsm+O7WJ/8dtPWSO9YggrylWH/pNk/IHMegsRZFvsLL3i65tYoF2rM8WPTMMQoSc2qrT6367siufa5dunGuutPWl1nYJa+nlUAeCvKZYfWi75vAuYjRYiiKfQGXsKNcOfTECnRwGIULO6+8HZH0mcQXOmznqzZzSUm0+iGLmtqAZhwpBAIDi377Xnk22vBQH1XfrPUbeqgsODYMAgxAh51RogDnHufWZPEWNbiNNNfA+Ub5Ba7qJ6isdMxiUvUZrz/0NhIjrNHLrO1berCNGILLAIETIifCE35G5p5hvv/CMZ44OAIAQyW3y6fKOPhMbO+DTERbi4IbKnqOl9ZvKmrbDCETlYBAi5Cx4wr+6b97Vwox87nyO8V1zcVR9+rtOfn5yYVurDe6DXhK6BWSjHPlvQISQBU/g+8twuKAZAPgwxz3pcyGu1B99RVt6Ms6QgghVAo8IEXJ8V0vIayncoWxCUyOV0pP5po4jG7dY0UHkJha6s+rA3r/JqQpxUFBkNQxChBxWTmnu6jPraPmkzy94GTgAAJ5I1NKv1vUUd3eIx+TZ+zfVh7ZpTx1k3H0CFv1CMfgLDVkD/98g5Ji0rG7yH7O1JnUBZzBw8wFAQsOCVsx7rWiJ/V8SYbOuqw5s1qWlACEAwBXnaU/+5dqhn9B9IbuEQYiQA1KzsPCUJEPfL0S01Zs55UrdaulXf20XpqmH3R8IGm6kqxM26q+cflSiKHmLzpLQCOGaQvYNgxAhx8ETAgCJOeJ5f5luawgNw+XUnXwyZFGbhg7wmLzhRro6cYs+/fijEkXJmrZz7z9BXKeRcH0hu4dBiJCDSM068d3pX1jZ+9vu+AEQAOBBUt9/3r4YJsTVvjPQcCNdtXeD4eq5RyWKkreMces/QexfV7i+kIPAIETIEeSU5i5MXsYTtrD4Z4D3AMBPDt90YF5saM/XAwnRXz6p2r/RePuKpUYxIpc2screL4p8ggRsDTkSDEKE7N5NNXk9xesmOyxUtEVBX5dQRWMaeX/ZwZ4nESREd/Goav9G9t41S41iRC7t+yh7vSDy8hewNeR4MAgRsldF+mJ3qcdPGfyc45yGBRqGAaFo2aD/RpNRTe14OgXdhVTV3g3s/ZuWCiWWuHbop+w5ivHwFbAx5KgwCBGyPxpjafz5jX9cO6CSrTye7/ewSkn6Nnrx82ie05YI2l1VGa5dsKQgJZG6dhqojB3JuHkJ2xVyYBiECNmfHG3Jjsz9PDGWqtcAvA8ALbyotV2Ydr4Uy/L2HYMAyp6jS1P3AEW7duir7PUCRiCqaRiECNmZlAdkaoqfjh0aKtpCCOPCGN5pKV/QinGAx+TNGDdP78kLJPWa0q5uQveCnAIGIUJ2gOVNGQXXQtwjFp/mvrvE8wRoGK7mGzX1bbMthomw/8fky5FFdhC6BeREMAgRsnVXi24sOfJllib3Ovn6VunDK4JKiXhxdLuZkTTtaCGIUG1zlJMpCDkuDSu7rcphOYOSXWOujKhPXx4pfquZnaUgMerVSdvVB7cJ3QhC/4JHhAjZLgKw9go/74SvGxkeItpVyEcFucDqzszQUDv7E5YYdKXH9qsTt3CqQlrm4tqhL+2iFLophB7CIETI5txT388ovB7iEfNqCpecTQCgBIblmnpOCvdZ1o5xlwjd3/Pg9aWav3drknfwpap/KtrS1D+VvV4QtjGELDAIEbItibcPf370G46HNLZ+IftwCJUGbuI1MX6xQfZ0JpTXqjXJOzV/7+J1GktR5OWv7PWCS/s+AjaGUDkYhAjZFpZqZOQAwBhE/VwIC8Q0vNuCfj+KkdnPWDF8qUpzeLcmeWe5CFR0G+baeSAlEgvYG0IVYRAiZCtKTbD4NPfNRZ9gZqQ3c/KWaUw7X2ptF6aFl90cCHLqIs2h3zQpfxCj3lIU+Ye49XrRpXV3oO0nzJEzwSBESEgEyL4bB0uNWjfloNdTuJtqAgB3uaEFMPyTdqI3I+1mEkGupEB9cGtp6p+ENVqK4oBQZZ8xLlHdgLKTTwM5JQxChIT007kN/03fRlGSE/qWOj7QXOwTLPqhM1NPaR/hwRXnqQ9uKz26918RGFhPGTvSpXUs0HZ2gytyQhiECAmJk/Qi8DsQQ13RtgzjTB8ZfNWBmdDIbsJDtWe9+uBWwpksFUlImLLvWHlkezwKRPbC+p+3oqKiuLg4Ly+vwYMHFxUVlVu6b9++pk2benh4NG3aNCEhoWpNIuRQCBAAuK8lw//ipqX63mRfvGsaetX46qj6dPoIsR2lIADQrkpLCkrqRfi8+onfnG/lzTpgCiI7Yv2P3LJly0JDQ7Ozs+vWrbt8+fKyi3ieHzdu3KpVqwoLCz/++OOXXnqpyn0i5AhURvWK46vXX/jfmit8xFbTjls8ANwzDTaIJ/7W22VLT8ZPLnSLz8m100Ba4SGpH+kz9UO/WV/LmrYVuiOEnpv1p0Z37Nixa9cuqVQ6Y8aMIUOGLF261LLIZDJt2LAhNjZWo9FIpVIPD4/qaBUhu/f1yR8Tb/0NID6p76gjQQBAUzCjKf1pG0Zhn88UUBKp/zurGXdvoRtByHrWB2FWVlZoaCgAmI8Lyy6SSCQDBgzQaDRubm4URaWkpFR8e2Fh4ZAhQyrWx4wZ07dv33LF4uJimqYZBu+9tiGEkJKSEqlUKnQjdoPlQUtGcnCCAb0Pc+yuaXgTN/6b1oY2XhyrgfJXF6zeC8uqVKra/WGhocLFEVSOXq83GAyEEKEbcVgKhUIstvLPSeuDkBBCUZT5A47jHtuWRqP55ptv3nrrrZMnT5ZbKpfLX3jhMWMsRUZGyuXlTw/J5XK5XI5BaFMIITKZrOI3C5Vl4Iw0UGJGfCyPmn6MvlyiCGCmGMBTQ6LmRPKLWhApU80DpolEIpZlq+v7QjgTxeAtddWDpmn8eak5dBXuT7b+v3hQUNDdu3cbN26clZUVHBxcdtGtW7dWr179xRdfuLq6Tpky5bPPPqv4drlcPnbs2Gfcl1QqlclkGIQ2hRBi/r4I3YjtOpdz4csT/+kS0vUGO/qL8zxPAAAecLGd/Km1XZimNTOJIMMwBoOh6t8X481Lqr/+R8tdvca/Wy2NOTnzkQP+vNgm6yM0Li4uPj6eEBIfH285yZmUlAQAQUFBP//8c3JyMiHkf//7X1RUVLX0ipB92XJl1x1V1v+lb111/o45Bd3E8HUH5vAgUQ2lYLUw3EjPX/tB7jdv69OPa88kmfKyhO4IoZpl/RHh4sWLx40bFxISEh0dvWHDBnOxR48ehBCJRLJjx46333775s2bERER8fHx1dQtQnYjRwe3TK9w5DwBsYzO0XJ1BoZQ38cwIa42HIGZZ1X7NxquX/hX8WqayDf4SW9ByAFYH4QeHh579uwpV7RcCu7Wrdvp06et7wshO3Sz+HaQMlDCSH7J5Oce54oM3l7MHDXf0FvmvqUTM6q+7T4gaLiRrtr7q+Fq2qMSRclbxrgPmCTyqyNcXwjVBrwMjlA14Am/9tyGLVd29ms4Yl/+iwfvP/yLsIiLfimMXtGe8bTVu2sNmWdL9qw33r5iqVCMSB7dza3PWDwQRE4CgxChakBT9O2Seyae+/3q9tP6zgB1AKCBkvoxhukVbJPnQgnRXUhV7d/IZl231CiR2LVDX2XP0Yynn4CtIVTLMAgRqgZphSSxeIoYzmu4BgREIhqmN6E/a8u42uBPGCH6S8dL9v6XvXfNUqNEYpd2vd36jGU8fARsDSFB2OCPKUJ2gCdk/43E2HpdOSL54DT3dTpv4r1dqM+1JLi1D722CxPlbXsHgoTo0lJK9m4w5dyx1CiJ7OFRII4Og5wVBiFCz01n0r+duOhSfkZq9v0t2WMzSx5eESRMnQ9a0AtbMWKbvC2m4JdPdOdTLS8pqVzRZbCy+3Ba4S5gVwgJDoMQoecmF8ncpF4AkHx75z19F/MVwV7B1I8xTAMbnkTQpXUPcxBSUrkiJk7ZcxTtohS6KYSEh0GI0HPbeJ3/b9aUUJL+wNRTT/y8pPBle2ZSGG27GQgAAPIWMdIGzaThUYquQ2i5Quh2ELIVGIQIPV2+rnDDxS3Tol4qNEpmpPI7bvEAnjnwPQeyQXWpHzozwTb8mPwjFOX75gqhm0DI5mAQIvQUedr8SX/MKGW1l4tlm+6P07AP60Gu8v90ZgbVtYcIRAg9mU1e00fIlvi6+IR5RwHAldzdRlMR/DOJYPpIke2kIK/XmvKzn74eQqgCPCJEqDJ6Dj49x62981K4KPcGO9FIPCM9qbVdmI5+thKBxKDTpPyuTtwq8g/xe+srodtByP5gECJUXmrWyU2Xti/v8cHpfOmrKdzlYgLgeZb7XEzDvJb0R9GM1DYmBONLVZrkHZq/d/P6UgAw3rxkuHaeDm0idF8I2RkMQoT+JaPw2ntJnwDA2L0bd+VMsEwoHhNArYlhmtjG9Em8plh9aLsm5Xdi0FmKIt9gYmIreRdC6LEwCBH6l3CvRmE+MZn5Kdklf9MwigOZuwSWtmVei6Bt4fEIXlOsSflDk7Sd12stRZFPoDJ2lGuHvkAzLItZiNDzwSBECPQmg0wkBYAHOpiZyu2+N7muWHmLfdH8dMR/OtvEJIJccb764NbSo3sJa7QUxYH1lH3GuLTqCpTwHSJkpzAIkVPTm/TrL/zv4O3Dvwz6bttNyexjXKEBADyvGV8JkMOydszExsLfWc0V5qoS/6c9nlD2zKe4TkO3PuPkzTtiBCJURRiEyKldzLuy8dJvANBv538PF08yFymAVyLo5e0YD4mgzQGYCnM0SdtLU//8VwQGN3Tr/aK8ZQxGIELVAoMQObWW/q2C3GPul6QU6bIACADV0I36MYbpGSRwxpjyslQHNmtPHQSesxQl9SPd+o6VRbQWsDGEHA8GIXIuHOHuqx+EuAUDwNFcMvUwd7VosjvTLo/rLKbh3Rb0+1GMzAaejijeuVaffszyUtqouVvfcdLGrQRsCSFHhUGInEhG4bXlx1aVGNSr+67+5Jzk+8s8TwDAM4/r3MGPWhPDNPeylZONbv3G6S8dB0Ik9SPd+0+QhmEEIlRTMAiRE9GxuutFtwiQfjs3nNO+ZC66iGBxFDO3Bc3YSggCAEhCGrv1GStr0kZSDx+QR6hmYRAiJ+KvbC6VdS3VH883PpyN3XaejqjIrf8EoVtAyClgECJHlq3JydPmt/CLJAA/XeHfPcGVspMYaoye9/WXwzcdmRcaCP90BEJIWBiEyGHtvf7X16d+VEgUi7p+N+uYNDnbPFyau4nAy2H0ivaMp1SYxgzXzhPWKGvSRpjdI4T+DYMQOaxAZYDBZNSbCl7Y899M48vmYkM36ofOTK9gYc6FGm6kq/ZtMGSeE/kEBiz4CWgbuD8VIaeHQYgclh4i9Uw3lr2dbeoCAGIa5janF0UxciH+1+svnVQl/J/x1hXzS1N+tvZ0kkvbngK0ghD6NwxC5DgSb/0tF8s6BbdTs7DgJPefyzxFXuEpCSFMO19qbRemRe0/HUGI7uIxdcJG492rlhrFiFza95E0bFbbzSCEHgeDEDmIr058v+vqXh+514PoyNnHpHc05iuCchdGoKcjCNGdT1ElbGKzblhqlFji2r6vstdoxsO3drtBCD0RBiFyELGhMbuv7svXFc5N3nqHHWcuDgih/tOZCVXUbgbyvPZssvrAJvbBHUuNkkhdOw5Qxo5k3L1rtRmE0NNgECJHQABOFEUWkB4GjrnDDgMAfzl83YF5sWHtPh1BiC4tpWTvr6acu5YaJZG5duir7DkaIxAh24RBiOySyqj+8ez61gEtY0O7XFOR11O4xPsEYDoARQFMaER/1YHxkdVeP4Qz6c4kqRI2mfKyLEVKKndt30fZ60XGzbP2WkEIPScMQmSXFiUvPZd78UjWyaS8VssvyAwPZ2igGrtTa2KY7oG1ei609Ph+1f7/4wpzLRXaRaHoOlTRdSjtoqjNThBCVsBhNZBdernlOAqoIl3RTxcPm1NQTMPCVvT54aJaTkEAMN7JtKQg7erm1m98wKJ1bv3GYwoiZBfwiBDZB5Y3iemH/11LjBB/PeKOaYSKb1zAtQGAaB9qbQwT7SPMY/JuvV7QHttPyVwUXQYrug+jZa6CtIEQsg4GIbID53PTvzzxnwnNRveq1237LX5mKn9fSwDGAIBSDJ+1ZaY3oWnhxs1mPP28p34kbdCMkgg0aBtCqAowCJGt4wlZefKHWyV3vz3183eZrXbdcbEsGhxKr+5E17GBuSNw1niE7BdeI0S2jqaoWW2nU0AV6o3J9x4+nB7oAlt7Mrt6M7aQggghu4ZHhMgWPSjNDXD1M398sYhMO9b4FvtaAdfGSDwpgPGN6JUdGe+aPw3Jl6rUSdtpuUIZO7LGd4YQEggGIbItLG/678Wt/5e+7d0OM7vW7b7kLLf8PM/yANAbAJp4UGtimJiAGj8K5NRFmkO/aY7sIQYd7aJw7TSAlrk8/W0IITuEQYhsC01RKfeOsTy78uRPb51qcaVEaa5LGXivJTO/JS2t4ZmLuJIC9cFtpUf/JEaDucJrNdpTiYqYuJrdMUJIIBiEyLYwFDOl1bQFSfMeGAJuGbUASgDoEkCtiWEiPGr2QJArzlMf3FZ6dC9hjZaiOLCeMnakS+vYGt01QkhA1t8sU1RUFBcX5+XlNXjw4KKionJLd+3a1axZMw8Pj65du2ZmZlatSeTICJDUrBMEzJNFwNab/LBDDdP0H54zfKYn/h4S+LoDkzRQVKMpaCp4ULTl2wefvKT5e5clBSUhjb2nfOD/7vcubXsBjbeVIeSwrP/xXrZsWWhoaHZ2dt26dZcvX1520Z07d8aPH7927drs7OzBgwe/9NJLVe4TOaYifclbBxa8l7Qk4cahm2rSf59pdCKXq4NivhkANboBfXmU+K1mNfiMoKngQfH273OWTi1N/ZNwJnNRHNzQe/JCv7e/lTfvCBTelYqQg7P+1OiOHTt27dollUpnzJgxZMiQpUuXWhbduHHjxRdf7NixIwBMmjTp888/r/h2g8Gwb9++ivVGjRqFhISUKxqNRoPBwDA1fHUIPQ9CiPn7UpWNSEFcatQCwBcnfj5paKli3cz1EFf4tj3pH2wCMFVtD0/EFT7QJm3Xn/wLeM5SFIU2ce0xXNKkHQAYjMYnv9t2sSxb9e8LqnaGfwjdiMMSi8W0tWduKEKIde9UKBR5eXlyuVyn0/n7+6tUqorrcBw3Y8YMmqZXr15dtp6RkdG5c+emTZtWfMvLL788ePDgcsX8/HxPT08MQptCCMnLy/Pz86vidvbdu/XDhU/vm/rcMo3liIymYEI99uPmBoXIyv+ZT8Xn3WOP7OYupgLPW4p0SLi48yAmzO6fi2dZVqVSeXvjlE+2Ra/XGwwGd3d3oRtxWAqFQiKRWPde648ICSEURZk/4Diu4gp//fXXu+++26dPnyVLllRc6u3t/ffffz/jvkwmk5eXFwahTSGEsCzr5eX1XO8q0hf/cS1hfLNRFFAaFhad5lalN2fI90bwBIBW3tSaGKatrxigpp5VKNryrf7oXijz958sorWyz1hpg8ga2mMtY1mWYZjn/b6gmqbT6QwGg4eHh9CNoMewPgiDgoLu3r3buHHjrKys4ODgsosIIQsWLDhy5MjmzZvDwsKq3CRyENeLb711YIHaqPGRe/GSnm8c4W5rCABw4CkXwbst6AWtGEkN35Ui8vK3pKA0LMp9wCRJvYia3SVCyLZZ/1snLi4uPj6eEBIfHz9kyBBzMSkpCQBSU1N37Nixe/fuoKAgjUaj0WiqpVdk7+q5h/i7+gHA8hPrhiRozCkIAN0DqXPDRB9G13gKAoCiy2Da1U3evJP/3O98py/FFEQIWX9EuHjx4nHjxoWEhERHR2/YsMFc7NGjByEkKSkpIyPD0/PRrNxWX4lEjoQCpqH/tPTCrzL1UzgiAwA/OXzVnhnXqPYeTqCk8oCF8ThTIELIwvqbZaoiIyNj8ODBGRkZz7h+bm6ut7c3XiO0KYSQnJycgICAStY5cf/MgVvJCzrNooBKLyKvpXBHcggAAaAogElh9Ir2tTFkqFNhfHCv0AAAGuVJREFUWbakpMTHx0foRtC/4DVCW4Yjy6Cakpp18r2kTwCguV+zy6U9PzjDGR7eU0U1dKN+6Mz0Cq7+R/SI0YCTAiKEngsGIaopHYJah3k1zCy8vvzEtlRtVwI0AEhoeLclvbAVI6vuw3tD5tmSPevFAaGeY2ZX86YRQg4NgxBVJ57wNPXwgl+RkS4VT8vh/rjBTjSnYGd/6scYJtKzWg8ECdFfOq7av9F4JxMA2HvXlH3GiLwrO2GLEEJlYRCi6mHgjBvTfzuTc/6bXp/RFLXhGj/nGJenrw8wEwA8JLC0LfNqRLUOlkaI9tzf6oRNbPatR0WaZu9kYhAihJ4dBiGqHgk3D627sAkA1qfv33y3V0LWo5uwBtWlvu9crVPJE6JLSynZu8GUc8dSoyQy1w59lT1HM+44qApC6DlgEKLqMbBh793X9mcWXFt57swFfU9zMVRBre7MDAyptggknEl7+pD6wGZTXpalSEnlipg4ZY8RtALHr0IIPTcMQmQlnpASozoAHp6EPJ5HndK8nm28ncN1AwCGgjcj6Y9bMwpx9eyOcCbdmSRVwqZyEejavo+y94uM0rOS9yKEUCUwCJE1rhbd+PL4fzgT92PIV2qWWnyaW32J50h9gPoA0NKLWtOFaedbPQeChDWWHt+vTtzKFeVairSLUtFtqKLrEFqOj8YjhKoEgxBZ40Lu5csFmQDwybF9a272vq99eEVQIYZPWjMzI2mmOkKQsMbS1D3qg9u4kgJLkXZ1U/YYoegymJLKq2EfCCGnh0GIrDE0bMDv1w7dKLm1NkN33/QwBePq0t91ousqqu2KYP6P7xuunbe8ZJSeih4jFDGDKImsunaBEEIYhOiZ5Gnz9SZDiFswAPAEfsoge/Lf0HCMjg8EgAA5LGvHTGxczUOGunbsZw5CWuGh7DFc0WUIjhqDEKp2GITo6f64tn/1mfh67iGr+3xxrgBeTeFO5xOAOgBAU/B6E/qzNoy7lTNiVsYlqnvp8QR5ixjXDn0pUTXddYMQQv+GQYiejiO8ltVdys+clLBnc1Zf0z/zujdx437uLu3oV/1Dhj5E077TP6+pjSOEEABUZT5C5DziGvULVIazELI7K9ScgnIRfNaG3h9TXIMpiBBCtQKPCNFjHL57NFDh38izAQDc15I3j/K/573DEjcCDAD0Dqa+78w0UEJOjvW74FRFxKAV+QZXV88IIWQdDEJU3tKjX++7cTDCu/HqPl/8eAUWnuJKjADgCf+eR9fqmSy5kgJ14pbSo3sl9SN9py+txs4RQsgKGISovEifiH03Dl4puNptx97Uoj7mIgXwcji9vB3jVYXbNrmiXPWh30qP7iWsEQAMmWeNN9Ml9SOrpW2EELIOBiEqL7Ze3zXnD10v9bte1NFcaeJB/RDDdA2w/nKgqSBbfWCz9mQi4UyWoqRuGFB4lRohJDAMQmdXymp/StvQr0HPcK9GALDvHpl+hLul/pCACABkDLzXipnfkpZYG1imvCxVwibt6UPAc5aipH5Ttz5jZU3aVMdngBBCVYJB6NQIkDcS5t0svp2el/FRtxXzTpAN18zPRogAoGsA9UMM08TDygNB9sEddeL/tKeT/h2BkW69RskiO1RD9wghVB0wCJ0aBdTI8Lgvjn+XUXit42+ptw3tzXUfGaxoz0xsbOU0umz2LfXBrdrTh4DnLUVJ/Uj3/hOkYa2qo3GEEKo2GIROhwCh4FHAhXr34kVnMrSd8rj2AEABTGxMr2jP+Fg1nCd775pq/0bdxaNQ5p5SWZO2bn3HSuo1qXLvCCFU/TAInUtm4fWvTnz/ZpupTX3CdSb4+Cz35QWe5eeYlzZ2p37ozMQGWXMcyGZdVx3YrEtLKRuB0rAo90GTJXXDq6d7hBCqARiETsTAGd85+GGxoWTlyR9GNP9iRipcVz0MLQkN81rSC1oxMsbKjRfv+smQefbhC4qSNW3n1m+cJCSsOhpHCKEahEHoRKSM5LWoScuOfXu1KGtUwjUN39Bc7xJA/RDDNLX2phgzt75j8zLPAkW5RHVV9h4jDqxXDR0jhFDNwyB0cGqjRil5OIc7AbjH9sgl92/pe+mJLwB4SeGL9sxLYVbeFFOWtGFzt4GTXFrEiPxDqrwxhBCqPRiEDsvEc5sv7/jvxS1f9VzS1CcsvYi8foRLeUAAxphXmNCI/rID41t9c9y69R5TbdtCCKHagkHosLSsduvlXTqTftmxVfUCv1x2njL88zhfQzfqP52ZPsE4cQRCCOE0TI7LTap8PXoyAFxVMcvOFZlTUELD+1H0xRGi50hBQnRpKfrLp2qqUYQQEhQeETqUywWZTbwf3qj5QAcbbne7zDL5po4EaLDiphhC9JeOl+zdwN67LvKvGxDRGig8iEQIORoMQgeRp81fevSbsznnv+uzrIl3xNoM/r2TXJEBADoDgJcUlrdjXg5/5ptieE57+pDqwGZT7j1zwZRzR5eWIm/VpYb6RwghoWAQOgipSHqj+BZPyCepq+9SK1JzHp30ntCIXtGe8ZM/03YIZ9KeTFT/tdmUn20p0jIX15g4aeOW1d42QggJDoPQQbhJlFNavPTliVVniltcZ00AEgBo7E5935np+WwjxRDOpD22X5X4P64w11Kk5QpFt6GKrkNpF0VNtY4QQoLCILRXKoP62P1Tfer3ML/ce5e8daZLjqGBlg+G5xwphrDG0mP71IlbuOJ8S5F2dVN0G6boOpiWudbMZ4AQQjYBg9AuXcy7sjD5U5VRFaQI9HaNmHWM23LDPM9DMAB0C6S+7/xM0ycRo6E0dY/64DZOVWgp0goPZY8RiphBlPT/27vzuCjONA/gT1V101zdDTSHgICiIhNPFAMiHuAZkwYToxNNNmPmE2dno5PJ7CST1biayfjx2mgkGXOYhOhkPhOPMUYTZ01GRFclGY94gYgSL0Qihw3dTd9V7/7RiopGpTmqoX/fv5qnuuhHXqkf1dX1vg/2dioAQGeGIOyUErTdOY4kxubvW7PP/Ga94/oVQZ2K/idNmPUAM8Uwu9W8/ytT4RbJXN9UFDShwdnTgjMmc35td5s9AIB3QxB2Smq/4EeTfvlp8V++bfh5vchTC5dPMhVsNu3eLDUamypCSLg6e1rQ8Ec4pV/7tQ0A4IUQhJ3D0asnT1SX/GLAU0RkdtLCI+I7pzIlaZhEKiJKDuHeGyGMiX7QmyNcNZebUlAIi9SM/Xlg2gROoWyn5gEAvBmCsBPYeW73sm/ziGhIt4E/WJJfLJIqGt3LJ6n8BZo3WHh1IK9qyfJJ6nFPNR7cpQgJDx79eNCIRxGBAODLEISdQGb3tNCAkGtWw0uFn+w2Lmmqj4vl3s0Q+mhbPNuLIjw6Yu4KVY9k4j1dfhAAoKto7VyjBoNBr9eHhYXl5OQYDIY7nyCKYnJycitfxcf5K4J6RvzSwEbsN73irkQF0F/HCP98ROFBCrqpEvshBQEAqPVBuHz58oSEhKqqqvj4+BUrVjTbmpeXl5GRUVZW1spX8SkO0fHJic9WHXzP/eV31Sz1C9dbZRknbf/pYKE8R/+ezJc+qXy6NyZMBwBoA619a3Tr1q3btm1TqVRz587Nzc1dunTprVsHDhzYq1cvvV7fylfxKX8t2bz+5EaOuLTYUX+9kLz2tCSx65sGhXHvZQrDI3/yLNB17app10ZFRKw6a2oHtQsA0Mm1NggrKysTEhKIyH1e2GxrVlbWT+1YXV2dmJh4Z/3FF1+cOXNms2Jtba0oioLgE2/lZYdnblftNNgb5hTuPG67vpREoMD+kGyb3dOmIKquvstezHBVKvpSKi5ioosC1dakh0mpatc+GWO1tbU8jxNT7+J0Ok0mkyRJcjcCt7HZbHa73eFwyN1Il6XValUqDw96rQ1CxhjHce4Hoije9/lNwsLCduzYcWc9IiIiJCSkWVEURZ1O11WDkBGzuxz+iutDWNfAGhS/PmtuqHKNc1f08VxeGhcfHER0l9nOXFcrzLs3Wb/fS9KNn7/FFFhZFjD0J/8KaZu2GXO5XDqdrl1fBVrK6XQqFAqMi7exWq12u/3Ogxu0ldb8Ud7aIIyJiamoqOjTp09lZWVsbGwLXlihePAP0Qg3eNSjVzvfcGnlv96NVXebN/wlm0jLjovLjjO7+LB7a1wQ93YGPyXh7gPs/PGiqWCT5Ugh3fLnv1/Pfppx0/z7pbd354yxrjoonZokSRgXL9SFD2JdQGuDUK/X5+fnL1myJD8/Pzc3113cs2fPmDFjWtuab9h+dufJmlPFNaURmuwVpx4623D9eqCCp988xL8xVAi+2z1+zsofjN98Zj1xgBhrKvonD1VPmKlK7NcxnQMAdA2tDcKFCxc+/fTTcXFxQ4YM+fTTT93FrKwsdssBGu7h+UHP7LlYZLAZFx26cMX1M3cxLZJ7f4QwWHeXD8U4K88Z//mZ9fj+WyNQlZSinfwLvx64TQUAoMVaG4QhISF3XuprloIIxVtdsxoEXtCqNEQkMVp/1v+w5bfXHCEW1p2IQlW0JFX4VTJ/57TZjgulxq//Zis9dLPEcQH9h6snzPCL69Nx/wAAgK4FM8t0qK/Kv37v6LqM2Idfy/jd97XsPw6IB2sYUX/31qd78yvThKg71j6y/3DS+PXf7GeO3ixxXMCgTM2EmcqYnh3VOwBA14Qg7FDn6i+ZHY3fnC88Zxuz/nx/8capcpKWe/cnlpKv+/gN68mim1/zfGDKaPX4Gcpu8R3SMgBAF4cg7FDPD3rm6/PfGhzKLRcFdwred9ZsZWzi9SDkhcChWZoJMxQRLfh0LgAA3BuCsH3968qRpLBeof4hRFRuZHOLlPtMC2xSlER+RDSxO/fnDKG35l7zhQaPedy8/0v/n6VqJsxEBAIAtDkEYXthxP50YGXBhf8b12P0K+m/X35cWnZctIlEFEdEMYHcW+n89MT73wHK+wdFL1yPJeMBANoJgrC9cMSF+YcQ0a4LezddHlNsGuiuCxzNeYj/U6qgeeBFAJGCAADtBxNFtqNJvWfyQniNOLzMnOCupEVyh6Yo8obfSEFJYnarjB0CAADOCNuMzWX7tHjT1L76sIBQl0Rvl0ivf6+0ut5ysUC64wZBJrosRwpN/9ygShocOu03MrcOAODDEIRtwy46ntvx4hXzj1Xmq9m9X36hSDx5zX1vRCBH9GwffsXDQmQAERETXdbv9xi/+cxVU0lEoqFaM36GEBIuZ/cAAD4MQdg2VILfyLj0jaVfFFzct+rMIw1SX3e9fyi3ZoQwqhtHRMzlbPzua1PBJtFwcyElzs/fWXUBQQgAIBcEYduQGDH/p6x08pLj0QYpiYiClbRoiPDbfrySJ+Z0NBb9w7R7s9hQ17QLH6RRZ00NHpnDqe6YSwYAADoKgtBDZ6798P7RdfMzfhceEHa4ls05IB6sURKtcG+d2pNfnc53D+KYw2Y6sMO8+++iydC0r6AODc6aGpz5GD4OCgAgOwShJwy2+jnfvOoQHSsPftigePmD05J0Y7K0XhruzxnCpO4cs1tNu7ab9nwumRuadhS0OnX2k0HDJ3N+7bt8PAAAPCAEoSdC/UOm9n3ss1OfH7h86JDtR4lFEpG/QP81SHh1EO/nMBu/3mbe+4VkMTXtIoREqMdND0qbyCn95GscAACaQxA+KKfoVArX74E/Wsc+vfRknXjtkmu6jUUS0aNxXN5woafCbP5m67W92yRbY9OOCl039djpgWkTOAE/bQAAr4ND8/2JTNxS9tXGU1s/mLRSEHT/fUR8v1QSmYroN0TUQ82tTudzE3giuvrmPOfl8qYdFRGx6vFPBQ7NQgQCAHgtHKDv77LxygdH17kk8fd7Pvzfa7+vsV2vqwR6ZSA/b5AQeOOnGDxSb/jsLSJS6KLVY6cFpU8k/icWlQAAAO+AILy/BG3c6B6PF5z7e0ndZYPDQhRIRJO6c28PF/pob1s4IjB1rPX4/sDUsYEpo4m715oSAADgJRCEd3fF/GNMcDciqrPTa4fEj8ueiBS0Va6JjISEYG5VOv9Ej7tM08oJivBf/anDmwUAAM8hCJurttS+dfC9Y9XFnzy65otLYQsOi3V2IlJdcU1WCfTyAH7+4JvvhQIAQGeHI3pzjU7LoaqjTsk19cu1ReZXmuq/1FW9NohLTIyTsTcAAGhzWIapOX9lfGBQLhFXbQ/hOJGIshWXT7hW/XHfrzUFH8ndHQAAtDGcEVKj01JWVz6k20CHRKuLpcVHxUbXk0HcMJPUJ8V54W37xh4XDxBjRGQ7ddB5uVzZvbfcLQMAQJvx9SD8/scTi4tWWpzWXwxZs+hY6NkG91Rpfj2s/Arzkv5Xv3NHoJt/cirhjkAAgK7F1w/rEYG6BrvZJTmXfPvuWcd8IhpsPbOgfmPatUM3I5DjAvqlqSfM9ItPkrNXAABoBz4dhA0OWl3a7YJjSqSwq0bMGGY59XLtxgzj9zefwXEBAzI0E2cqY3vJ1yYAALQjnwvC4prTV8xV43pkfVwmLTgiVluJpyeiGnq/ffWLjMbjN5/HcYGDR6knzFBG95CtVwAAaH++FYRbyr7685EPBV41/2jfI9ciiGhk47GXrm542FJy80k8HzhkjHr8U8qoeNkaBQCAjuJbQRijGSwxhSTaLOa/ZJtGv1izcajldNNWTlAEpmarxz+lCI+RsUkAAOhIvhKEZictPS6uOhkVxT+u5s6ddz67pG5VUwpygiIwbYJ67HSFrpu8fQIAQAfrykHolFwbTn3uLwQ0Co/OPyxWWYiILorTOeJm9uZTh82k/PmcQhmUPlE9droQGil3vwAAIIOuHISrD73/Vfk3xKkO2obapAh3MS2SX50upEdyRENMU34VmDJa0Ork7RMAAGTUZadYO29iRfU5ElMSs8cKO4goNoj7yxjh2xxFeuT1BZLUY55ACgIA+LiudkYoMcns4pccE1cXS3YxurtiBiOFgR5ZmML/YZAQ1NX+uQAA0FpdJxkum66sPPieJAzccvmxrCu7hisj9qiHVrpyZ/Tilw7j44OxTC4AANxF1wnCRQc+Kq87zrHij05/3t9sOBXQ0544dNXwm2+EAgAA3KkrXCM8Vc+m/KNRLI5VMI4n8Zp/AxE9ZD2/q9cRpCAAANxbJz4jNNpNZlfAisM253c7Xq/eGi7W77Py8VaWYGG8JlSdPS0gabDcPQIAgLfrlEHIiH1Zvvudw/mRhoRXy8vDRKO7PrJOIm14yBPTgoY/win95G0SAAA6hc4XhBKjTSWmzQc3OlSmH4OLbUoniUREYkikbvz0oLSJnEIpd48AANBpdLIg3Heu4cgXn0+q/DJJaX21n1LrZI0Kcmijox75eeCwcRxWzQUAgBbyPDkMBsOzzz574MCBzMzM9evXh4aGPvhWD+wo/VdN4cnM8zuflKxEFCzSK2dd0Xy3HvoZ6mHZxAut/P4AAOCbPP/U6PLlyxMSEqqqquLj41esWNGirS1idTle+2rRyuPLLNbtQZLVXTRo41Mfe2XAwo/UaeORggAA4DGOMebZnn379t22bVtycvLp06dzc3PLysoefGtZWVl2dvacOXPu/LYjR45MSUlpVpy74YXzAfUKiZaWODm/hNCxU7sNSScOt0bIiTFWXV0dFRUldyNwG6fTaTQadTrMHehdrFarw+HQarVyN9Jl+fv7KxQevsfp+VujlZWVCQkJROQ+82vRViKSJOmudbPZfGc2T0t6Ou/immRzgH3Uvw3OnEgcx4jI0wiHNsFukLsRuA3GxTthXLyZ50HIGOM4zv1AFMUWbSUijUbzzjvvPOBrDUtOeV09P2NwGs4CvQdjzGKxqNVquRuB2zidTkmSMC7eRqFQ2O12jIt38vwaYUxMTEVFBRFVVlbGxsa2aKsH0gYOQwoCAECb8zwI9Xp9fn4+Yyw/Pz83N9dd3LNnzz22AgAAeBvPg3DhwoUnTpyIi4srKSlZsGCBu5iVlXWPrR7btGmT0Whs5TeBtiVJ0rp16+TuApqrra3dunWr3F1Ac+Xl5QUFBXJ3AXfn+adGW6OsrCwnJ6fZR0nvIT4+fvfu3b17927XrqBFbDabRqNxOBxyNwK3OXz48KxZs4qLi+VuBG6zfv367du3b9myRe5G4C66wuoTAAAAHkMQAgCAT0MQAgCAT5PnGuGVK1f0ev2DX16qrKyMioryeNYAaA+MsYqKivj4eLkbgds4HI66urro6Gi5G4HbNDY2Wq3W8PBwuRvpsvLy8rKzsz3bV54gJKKKior6+npZXhoAALqYhIQEjUbj2b6yBSEAAIA3wDVCAADwaQhCAADwaQhCAADwaZ0gCA0Gg16vDwsLy8nJMRgMcrfj07Zt29a/f/+QkJBRo0adOXPGXcQAeYni4uKgoKCmLzEusnO5XC+88EJERMSIESMqKyvdRYyLF+oEQdiGi91Da1y6dOmZZ5758MMPq6qqcnJynnvuOXcdA+QNGhoaZs2aZbFYmioYF9mtXr3aaDRevHgxIyNj0aJF7iLGxRsxr5eUlFRaWsoYKy0tTUpKkrsd31VYWPj888+7H1dXV+t0OvdjDJDsJEmaMmXK5s2bb/2NxrjILiUl5dixY4wxo9F4+PBhdxHj4oU6we0TwcHBNTU1AQEBVqs1KioKy1DIThTFuXPn8jy/Zs0awgB5gWXLltXW1r755pscd/M3GuMiO51ON3v27LVr1yYmJn7yyScDBgwgjItX6gRvjbL7LXYPHWnXrl3Dhg3TarV5eXnuCgZIXoWFhTt37ly6dGmzOsZFdkajkTFWUlIyadKk2bNnu4sYFy/UCYKwzRe7B88wxubNm/fGG29s2LBh2bJlTTPeYYDkVVBQsHfvXj8/P/fhleO4/fv3E8bFC0RERLz00kvR0dFz585tWhgL4+KFOkEQYrF7L1FUVLR169bt27fHxMSYzWaz2eyuY4DktXjx4qZLHUTEGMvMzCSMixeYOHHiunXr7Hb72rVrU1NT3UWMizfquMuRnjIYDJMnT46NjdXr9fX19XK347sWL1581/88GCDvcetvNMZFdlVVVePGjdNqtaNGjTp79qy7iHHxQp3gwzIAAADtpxO8NQoAANB+EIQAAODTEIQAAODTEIQAAODTEIQAAODTEIQAAODTEIQAAODTEIQAAODTEIQAAODTEIQAAODTEIQAAODTEIQAAODTEIQAAODTEIQAAODT/h88B3tP/WO27gAAAABJRU5ErkJggg==" + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -929,19 +923,16 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 30, "metadata": {}, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[31]:4" - ] + "data": { + "image/png": "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" + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -965,19 +956,16 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 31, "metadata": {}, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[32]:4" - ] + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAGQCAIAAAD9V4nPAAAABmJLR0QA/wD/AP+gvaeTAAAgAElEQVR4nO3dd3hUVeI+8PfcO5lJSE9IIIkQSEB6lyrSRUFDLLjrroi4yHdXNi4qdoqNpUQWRdddf6ixrS6uKBKkCCig0qRIhxB6CIFUUieTmXvv74+ZhBDSSJn6fh4fn+HOLWfmzOSdc++55whN00BEROSpJEcXgIiIyJEYhERE5NEYhEQuY+rUqY899pj1sclkKi0trelZIqo/wWuERC7h+++/j4+PT01NbdOmDYDOnTunpKRU/v6eO3euU6dOycnJY8eOdVwxiVwPW4RELsBisUyfPn3KlCnWFKxWdHT05MmTp0+friiKPctG5OoYhEQuYOXKladPn54yZUrtq02ZMuXUqVPffvutXQpF5CZ4apTIKXz99dfLli3bt2+fj49P3759p06dGhcXV/HskCFDMjMzU1NThRAArP+vUPEt1jStQ4cOrVq12r59uz0LT+TS2CIkcrxnn3124sSJv/7666BBg3r06LFu3boJEya8++671mcvXry4Y8eOMWPGVOTfO++8Ex4ebn3wzjvvVOxHCDFmzJgdO3ZkZGTY/1UQuSgGIZGD7dy5c/Hixb179z5+/Pjq1avXrFmzf//+gICAl156ydovdOPGjQAGDx5csUlCQkJwcLD1QUJCQuW9DRo0CMCmTZvs+hqIXBmDkMjBFi9eDGDJkiWtWrWyLunSpcszzzzTpUuXCxcuAPjll18A9O7duz57s672888/N1dxidwOg5DIwY4cOaLX64cPH1554Zw5c3bu3NmhQwcA1jgMCwurz96sq6WnpzdDSYncE4OQyMHOnj0bEREhSTV+GS9dugQgJCSkPnsLDQ0FwGuERPXHICRysIiIiKysrCr9t1VVtVgsqqoC0Ov1ACwWS332Zl3Ny8urGUpK5J4YhEQO1rlz55KSkl27dlVe+Pzzz3t5eVkv9bVu3RpATk5OffZmXS0iIqIZSkrknhiERA72xBNPWP+flZVlXZKamvrBBx/4+/sPHDgQQLt27VDD2c4qw41WrGbdhIjqg0FI5GDjxo179NFH9+zZ06lTp7i4uPj4+J49e165cuVf//qXt7c3gFGjRgHYvXt35a38/PwAPPDAA08++WTl5Xv27AEwevRo+70AIhfHICRyvA8//PDjjz/u1avXtm3bdu7ceeutt/7444+TJk2yPjty5EidTrdjx47Km7z22msxMTHff//98uXLKy/fsWOHTqcbMWKE3QpP5Oo4xBqRC7j//vu3bt168eJFa8eZmpSVlUVGRg4fPvzrr7+2W9mIXB1bhEQuYObMmTk5OevWrat9tXXr1uXk5DzzzDP2KRWRe2CLkMg1DB8+PCAgYPXq1bWsExcXV1RUtHnzZruVisgNMAiJXMPx48f79OmzdevWAQMGVLvCrl27RowYsX///k6dOtm5bEQujadGiVxD586dlyxZkpycXNMKycnJS5YsYQoS3Si2CImIyKOxRUhERB6NQUhERB6NQUhERB6NQUhERB6NQUhERB6NQUhERB6NQUhERB7NiYJw27ZtGzdurOfKZrP5+pnYyIEURSkpKXF0KegqTdMKCwsdXQq6RlFREW/ddkKuGoQWi4VB6FRUVWUQOpvi4mJHF4GuUVJSoqqqo0tBVTlREBIREdkfg5CIiDwag5CIiDwag5CIiDwag5CIiDwag5CIiDwag5CIiDyaCwdhsUXsyuStqURE1CguGYRmFctOSH3X+8RtsBSYHV0aIiJyZS4ZhBrw9nEps1RklWLxQcXRxSEiIhfmkkGolzC7hy3/lhxSMziwFxERNZRLBiGA37fXegWrAIoteP03NgqJiKiBXDUIBTCnW5n18fsp6rEr7DVDREQN4apBCGB0a2VUpABgUfHyXg7oTkREDeHCQQhgYX9ZAABWnFF/zWKjkIiIbphrB2H/MPFAjARAA57/lVcKiYjohrl2EAJY0F/SSwCwJUNbm8ZGIRER3RiXD8IYfzGts+1VvLBbURiFRER0I3SOLkATeLmv/FmqWmDGoVztPyfVRzq6fLoTkR0oipKWlmbPI+bk5BQWFsqybM+Duhy9Xh8ZGWnPI7pDEIZ54+ke8iv7FABz96q/j5G8+TEjorpkZWXFxsa2adPGbkfUNE0IYbfDuSKz2dyyZcsDBw7Y86DuEIQAZvaQ/n1MuWzE+SLtn0fVZ3qwUUhEdQsLCzt79qyjS0FXHThwYPLkyXY+qJsEhp8X5vaxNQPn71fyTI4tDhERuQw3CUIA/9dZ6hIkAOSZMH8/b6UgIqJ6cZ8g1El4vZ/t5fzzqHquiP1HiYiobu4ThADuby8NaSUAlCqYy0HXiIioHtwqCAEs7G+7Uvifk+q+bDYKiYioDu4WhLe1FhOiJQCqhpf28EohERHVwd2CEMCC/pJ1KO7vL2ib0tkoJCKi2rhhEHYNEn/qZHtdz+xSVEYhERHVzA2DEMCrfWVfHQAcyNX+e4q9ZoiIqEbuGYQRLfBU+eAys/eqJl4rJCKq1fVjv3nOaHDuGYQAnu8pt/IBgLOF2rtH2SgkIrcyZsyYpt3h888/X2XPFUsaKS8vLy4uLiQkZMKECXl5eU2yz6bltkHo54XZ5YOu/Z2DrhFRvWn2+q8xfvjhh6Z5teUWLlxYZc8VSxpp0aJF0dHRGRkZbdu2TUxMbJJ9Ni23DUIAf+4sdQgQAHJNWHCAp0eJqG5/+UWRPjDb57/3jlU9WZWdnT1x4sSwsLBOnTp9/fXXNRXynnvuAdC7d28AQojPPvusdevWAJKTk3v37h0UFBQREbF48WLrykKI5cuX9+rVKzQ09K233rIuTEpKioiIaNmy5dtvv12x2vV7BpCbmzt58uSIiIjIyMhHHnkkNze3lt1Wa+XKlQkJCQaDISEh4ZtvvrnBCrEHdw5CLwnz+9te4DtHOOgaETm7p556KiYmJiMj44MPPpg2bZrJVP25rG+//RbA/v37rf/ctWuXtRk3Z86cSZMm5eTkrF27dtasWRXrnz9/fv/+/V999dVLL71kXTJz5swNGzZs37599erVtewZwJNPPqnX60+fPn3q1Cm9Xj9z5sxadlut9PT06OhoANZ24Q28HfbiJtMw1WRie2lguLorU7MOuvbJcE5USES1sWcHkeuPtW7dupSUFJ1Od9ttt508eVKnq9ef6JdffjksLAzAb7/9tnv37k8++WTr1q1lZWUVKzz++ONCiFGjRhmNRuuSYcOGvfTSS5MnT163bl3tO1+7du3Ro0d9fHwAzJs3r2fPnrXstloVszBqmqYoznhyzs2DUABvDJCHfWcB8J+T6lPdpd6hntIPioga4N+3yv++1WG/mBVFkSTbeayMjAxvb+8WLVrUuZU1BQH87ne/0+v1f/jDHxYsWPDpp59WrODv719lk2+//XbDhg0ff/zxsmXLNm7cWPv+K7qPCiEqJ9n1u61WZGRkWlpax44d09PTo6Ki6rOJnbnzqVGr21qL+PJB15771Rl/jBARWY0ZM+aNN95QFGXHjh2DBg2yWCy1rGw2m6ss2bhx46xZs+6+++7169cDqGXz9u3bt2/ffu7cuXv37q19z+PGjZs1a1ZpaanRaJw1a9b48eNv7CUBcXFxSUlJmqYlJSXFx8ff6OZ24P5BCGBhf0knAcDGdG39BV4pJCIn9c477xw6dCg8PHzSpEkff/xxQEBATWuOHz8+Nja2ysL58+ePGDGiR48eOTk5d9xxx9SpU2va/Lnnnhs8ePCIESPeeOON2vf81ltvGY3Gdu3axcTElJWV1d4vplpz5849ePBgmzZtjhw5Mnv27Bvd3A6EpjlLMCQmJmZnZ9ezc63RaDSZTEFBQfXc+ePbFGsHrR4h4rd7dTLPjzY1s9mcn5/fsmVLRxeEbDRNu3z5srUzIVXr0qVLvXv3vnTpkqMLQlcdOHBg8uTJBw4csOdBPaJFCODVvnKAFwAcytU+OsH764nINYjqOLpQ1XOholbhKUEY7oNne9ougM/eoxRWPbVOROSMtOo4ulDVc6GiVuEpQQhgZg+prZ8AcNmIfxxirxkiIgI8Kgh9dHi1r+31Jh5U04pd46cKERE1Kw8KQgCTO9ruIzRa8Oo+XikkIiIPC0JJYPFA25XCj0+oB3LZKCQiAjxp0qXreVYQAhgdKe5qIwAoGp7awSuFROQmmnxipto5/+RK9edxQQhg8UDZSwKAzRna2jQ2ConIHTT5xEy1c/7JlerPzccarVbnIPFYJ+nfx1QAM3cpt0fpvDzx9wARVSP/u49K9vzYgA1b9BsZGPen2tcp2bclP/nDin8Gxj3aot+oyitkZ2f/5S9/2bp1a0hIyPz58++///6adpWUlDRr1iyz2Tx37ty//e1vFdMnrV+//oknnti6daufn9/QoUMXLVoUEREBIDk5ee7cuWfPnvXx8Zk5c+YzzzyTm5v7xBNPrF+/Pjg4+G9/+5t1t9OmTevatetTTz0FYOrUqd26dXv66aerLcDKlStXrVplnVwpPj5+wYIF9XqbnJKHJsCr/eRAPQAcv6J9kMJeM0Rko5YUKleyGvCfWlxQ5841k7HyJlpp1Ukb6jkNE66bR6li+qRp06ZNnDjx3Llz+/bti42NnTZtmnX962domjFjBoAzZ84cOHBg37591tXuv//+lStXAjCZTKtWrXrwwQdrKoDzT65Uf57YIgQQ5o0Xeskv7lYAvLJPeaiDZB13hojIgeo/DVNN8yht3rz5u+++q/hnxcQU18/QtHbt2iNHjliHM124cOEnn3wCYNSoUZMmTbp8+fKvv/7ap0+fyMjImgrg/JMr1Z+HBiGAJ7tL7x1TzxVpmUYs3K/M78+pCokIgXf/KeD2GptBtRAGnzrXadFvpHfnfhX/lFpUncao/tMw1TSPUnBw8MGDB2NiYgAUFxfn5ORYl18/Q1PFgVCpy6her7/rrruSk5O3bNkyadKkWl6L80+uVH8eemoUgLeMBeXz1795mPPXExEASC385ODwBvx3fapdT+i9K29yfXbWfxqmaudRMpvN991334IFC0pKSjIzMytfurt+hqbx48c/88wzhYWFxcXFL774YsVOJk6c+Pnnn2/cuPHee++t5bU4/+RK9ee5QQjgwVhpSCsBoFTBrD28UkhEDlb/aZiun0fJOn3SvHnzFEVp3759t27d2rVrt3jxYuuz18/Q9Oabb6qq2q5du549ew4fPrxiz7fffvvevXtHjRpVy9HhCpMr1Z+nTMNUkx2Z2q3JFg0QwK54Xf8wz72ltJE4DZOz4TRMdeI0TDUZOHDgnDlz7r77bvsfmtMwOcDgcHFfewmABszYoTjLjwIiIgB2n9vIbDbv27cvLS1t7NixDimAQ3h6EAJY1F/SSwCwI1P79ixPkBKRE7Hz3EarV68eN27cu+++q9frHVIAh2AQIjZA/LWr7X14YbdqZhQSkae67777Ll++XHs3GffDIASAOX3kUAMAnMjXlh1nEhIReRAGIQAEG/Bib9t9hK/uU/LLHFscIiKyHwahzRPdpNgAASCrFIkHXXuUBCKiG3VDXWB69eql0+l0Op0QwvqgX79+dW/mrBiENnoJr/e7en/9ed5fT0QuxZ7TMB04cMBisVjv97c+qHxfv8thEF71YKxkvY/QaMHLnL+eiFyKnadhcicMwqsE8MYA25XCT1PVQ5y/nsjzLD+2MmHD84t2vl154fb0XxM2PJ+w4XkNV/8spBWkWxeeL7hQeeUnNr6YsOH5Xy7sqrzwjV3/TNjw/H+PflP70bOzsydOnBgWFtapU6evv/66ljWTkpIiIiJatmz59ttvA6iYhunSpUsPPPBAeHh4TEzM5MmTK+aFSE5O7t27d1BQUEREhHW4mdzc3Iceeig0NLRDhw7WnQCYNm3am2++aX08derUJUuW1F5g98AgvMbwCNv89aqGF3bzSiGRx0kvzDiUdSw193TlhbnGvENZxw5lHat8B53RUmpdWGK+ZjalQ5lHD2UdyzHmVl6Ymnf6UNaxC4UXaz+6C03D5E48d/aJmrwxUP4+3WJRsTZN++GiNjrS3cZQICKn5ULTMLkTBmFVXYLEwx2kj06oAF7areyM1zEJiTzHH7reN7b9CB+dd+WFt940MDqwDQCpUtfKtgFR/xy7EID1qQrvjF0IaFF+EZUXPjfwCaPFGOIdXPvRXWgaJnfCU6PVeLWf5KMDgF+ztG/OsNcMkQeJ9GvdI6xrh+CYyguDvYN6hHXtEda18kJvnbd1YZXU7BHWpUdY1xCfazKvQ3D7HmFdo/yvScfrudA0TO6EQViNNr4ioXzQtVl7VAujkIjswoWmYXInnj4NU01yTYj90nylDACShsmP3sxfDHXgNEzOhtMw1YnTMNWE0zARAIQY8GxP260Ur/+mlrFRSESOwGmY7IBBWKMZ3aVwHwA4U6h9mMIkJCIH4DRMdsAgrJGvDs9dbRQqxhovWhMRuQlOw0RV/bWrdJOvAJBRgvc4PRMRkTtiENbGW8YLvWxv0fz9SqHZscUhIqKmxyCsw7TOUjt/ASC7FP88ykYhEZG7YRDWQS9hTh/bu7T4oFLARiERkXthENbtkY7SzYECQK4JSw+zUUhE5FYYhHWTBV4sv1L4j0NKXo3DwRMRkevhoNv18nBHaeEBNSVfyy/D0iPKK31lR5eIiBrLOrfDQw89ZLcjaprmfnejN60rV67Y/6CNCkJFUbp163b8+PHrn8rLy5s8efK2bduGDh36ySefBAcHA7j11lu3b99uXeHPf/7ze++915ij25MsMLuP9PAWBcBbh9W/dZNDDI4uExE1TsuWLZOTk1NTU+12xIKCAj8/v8rTPtD1rHlhTw0PwqVLl37xxRcpKSnVPrto0aLo6OgVK1bMnDkzMTFxwYIFmqYdP378woULgYGBKP8t5kL+ECv9fb96/IqWX4Y3Dyuv92OjkMjlDRgwYMCAAXY7XGZmZmhoqCzzr4dzafig25s3by4uLo6Li6t2D506dVq1alXnzp2PHz8eHx+fkpJy6dKljh07durUKSUlZfTo0cuWLQsPD6+8SWJi4rp16yoGuKvs8ccfrxKcRqOxrKzMmql2s+Kc9OgOLwD+Ou3wBHOI3t3GGWoMs9lcUFAQGhrq6IKQjaZpmZmZrVq1cnRB6KqsrKyQkBAGYXPw9vZucPuq4c2ykSNH1vJsenp6dHQ0gOjo6IyMDACXLl3q37//kiVL2rZt+9RTT82YMeO///1vla2KiorS09Ov35uqqlXi1iFD3t3bRnnjqO5ovii0iKXHpFd6ctS1q9x1EELXxRpxQqwU59TYaZiEqH4Pvr6+OTk53t7eJSUlYWFhxcXFlZ/NyMjo1q1bbm5u5YVONQ1TTVacUR/4QQHgq8Pp33tZR+UmcBom58NpmJwQT406p+a6ZhsZGZmWlgYgPT09KioKwL59+yp6yuj1eoPBJXub3N9e6h0qABRbkHhQcXRxiIiosZo4CLds2WJ9EBcXl5SUpGlaUlJSfHw8gOLi4nvvvffYsWNlZWWvv/76Pffc07SHtg8BvNrX9qa9e1RNL+YpDiIi19bEQVhx4XDu3LkHDx5s06bNkSNHZs+eDWDo0KEvv/xyXFxcVFRUXl7eokWLmvbQdjMhWhoQJgCUKkg8yIFmiIhcW2PvYbi+D4v1QVBQ0Jo1ayo/JYSYPn369OnTG3lEZ/BKX3n89xYAy46rz/SU2vjyDlkiIlfF+zobYlwbMaSVrVH46j42ComIXBiDsIEW9Lf1+/r4hHrsCq8UEhG5KgZhAw1rLcZGCQCKhpf3slFIROSqGIQNN7+/bL02uOKMuiuTjUIiIpfEIGy4fi3F/e0lABowdy/vKSQickkMwkaZd4ukkwBgQ7q2OYONQiIi18MgbJROgeKRjrb38NldisooJCJyNQzCxnqlr9RCBwB7s7XPTrLXDBGRi2EQNtZNvuKZHra38aXdajFnpCAicikMwibwQi/ZOrjMxRIt8QB7zRARuRIGYRPw0eH1W2zv5BuH1PNFvFRIROQyGIRN4+EOUr+WAoDRgpf28EohEZHLYBA2DUlgySDboGtfnFR/vMhGIRGRa2AQNplhrcWDsbb76/+yTSnltUIiIlfAIGxKbw2Sgw0AkJqvzd/PJCQicgEMwqbUygcLy2elWHRAPcpZKYiInB6DsIlN6ywNbS0AlKn48y8ca4aIyNkxCJuYAP7fUFkvAcAvl7SlR9iDlIjIqTEIm17XIPF8r4qxZpTDeWwVEhE5LwZhs5jTR7beVliq4PFt7DVDROS8GITNwkvCZyOuniBdl8ZGIRGRk2IQNpcuQWJaZ9vbO3uvwiQkInJODMJmNKu3bJ2haV+29vUZ9pohInJGDMJmFNECCV1t73DiQQYhEZEzYhA2r2d7yj46ANidpe3I5PlRIiKnwyBsXi298cdY25v8Nu8pJCJyPgzCZvdkd0kAAFacUS8Us1FIRORcGITNrnuwGBEhAFhU/PsYG4VERM6FQWgPf+tue5/fO6aWWBxbFiIiugaD0B4mtJVi/AWAXBP+e4qNQiIiJ8IgtAdJ4K9d2WWGiMgZMQjt5E+dJD8vADiYq23JYJcZIiJnwSC0kyA9Huloe7eXHmajkIjIWTAI7WdGN8l6I0XyefV0IRuFREROgUFoPx0DxR03CQCqhn8dZaOQiMgpMAjtakY32frgwxS1yOzYshAREcAgtLOxN4kuQQLAlTJ8mspGIRGR4zEI7Urg6nwUbx1RVV4oJCJyNAahvU3uKAXpASA1X/v+ApOQiMjBGIT25ueFqZ3KG4WHFccWhoiIGIQO8EQ3SScBwIZ07WAuG4VERI7EIHSAaD8RH21759/lfRRERA7FIHSMGd1s7/xnJ9XsUseWhYjIozEIHeO21mJAmABgtGDZcTYKiYgchkHoME90u3p2tIxRSETkIAxCh/l9jHSTrwBwsUT76jSTkIjIMRiEDuMl4S9dbO//m5yPgojIQRiEjvTnzlILHQDszeYkhUREjsEgdKSW3phcPknhkkNsFBIROQCD0MGe7m6bpPC78+qxK2wUEhHZG4PQwToGiri2EgANeItXComI7I5B6Hgze9hq4ZNU9bLRsWUhIvI4DELHu621GBguAJgUvHeMjUIiIrtiEDqFp7pX3FyvGC2OLQsRkWdhEDqF+9tJ7fwFgKxSJJ1go5CIyH4YhE5BJ+Hp8kbhPw6pFkYhEZG9MAidxdROUpg3AJwp1P53hklIRGQnDEJn0UKHhG6y9fGiAyrvKCQisg8GoRNJ6Cr5eQHAwVxtXRqjkIjIHhiETiTEgGmdbDWy6IDi2MIQEXkIBqFzeaqHpJcA4KdL2o5MNgqJiJodg9C5tPEVf+xgq5R5v7FRSETU7BiETmdWb0knAcDaNG13FhuFRETNi0HodDoEiN+1L28U7ud9FEREzYtB6Ixm97HNzZR8Tt2TzUYhEVEzYhA6oy5B4oHyRuF8NgqJiJoTg9BJze1raxR+e1Y9kMtGIRFRc2EQOqmuQeK+drYJe1/bx0YhEVFzYRA6rzl9rG1CrDyr7uOVQiKi5sEgdF49Q8TE9rZG4Zy9vKeQiKhZMAid2iv9JFkAwNo0bdtlNgqJiJoeg9CpdQ0Sf4y11dGLu9koJCJqegxCZ/daP9vooz9f0jals1FIRNTEGITOrp2/+FP5lBSz9ihMQiKipsUgdAGze0s+OgD4NUtLPsdbKYiImlLDg1BRlM6dO1f7VF5eXlxcXEhIyIQJE/Ly8io/dfjwYV9f3wYf1DNF+YrpXWw1NWevytnriYiaUAODcOnSpUOGDElJSan22UWLFkVHR2dkZLRt2zYxMbFieX5+/pQpU0pKShp2UE/2Qi85wAsADuVq/z3FRiERUZNpYBD27Nlzzpw5NT27cuXKhIQEg8GQkJDwzTffWBdqmjZlypQXXnihYUf0cC298WT3q43CMkYhEVETEZrW8BNtQlS/uZ+fX1ZWlo+Pj9FobNWqVUFBAYCFCxdmZ2cvXry4pq0SExMXLlxY7YnT7du3GwyGyktKS0tNJlNgYGCDC+9yiixiwKaAnDIJwOJeJQ9HmxxdomuYzebCwsKQkBBHF4RsNE3LysoKDw93dEHoquzs7ODgYFmWHV0QNxQYGFglJupP17RFsdI0TQhhfaAoCoDNmzevX79+48aNtW/4wAMPPPfcc9cvj4iIsO6wgtFoNJlMQUFBTVdqZxcKPNNTe3GPBmBJqu+fe/r5NEvtNZDZbNbpdKGhoY4uCNlommaxWFgjTkVRlNDQUAZhc5Ckhnd5aZY/pZGRkWlpaR07dkxPT4+KigLwww8/bN26Va/XW1cQQvz8889Dhw6tsmFgYGBsbGx9DiGXa9qSO7kZ3fHOUcvFEu1iifb/TkgzezhRp19VVT2wRpyZpmmsEWfjmX+4nF9T/iXdsmWL9UFcXFxSUpKmaUlJSfHx8QDmzZunlQOgadr1KUh18tFhdh9blS08oBSYHVscIiJ30JRBOHLkSOuDuXPnHjx4sE2bNkeOHJk9e3YTHoIe6yTFBggA2aVYcoiDrhERNVajTo1W6fNS8c+goKA1a9bUcyu6IV4SXu4rTd6iAPjHIXV6Fzncx9FlIiJyZU50kYnq6aFYqVeIAFBkxqKDbBQSETUKg9D1SAKv9LNV3L+OqmnFbGETETUcg9AlxUdLA8MFgFIFr//Gu+uJiBqOQeiSBDD/FlsP7I9OqCfy2SgkImogBqGrGhUpbo8SACwq5uxlo5CIqIEYhC5sQX/ZOtzOV6fVX7PYKCQiaggGoQvr11Lc314CoAFz97L7KBFRQzAIXdvfb5F0EgB8f0H78SIbhUREN4xB6NpuDhSPdLRV4qw9CpOQiOhGMQhd3st9JW8ZAHZmat+eZa8ZIqIbwyB0eW18xfSuFY1Cla1CIqIbwiB0B7N7y8EGADh2Rfv4BBuFREQ3gEHoDoINmNnDdn/93L1qicWxxcaMwkwAAB3bSURBVCEiciUMQjfxdHcpylcAuFiivXuUjUIiovpiELoJHx1m9bbV5vz9Sq7JscUhInIZDEL38VgnqUOAAHClDG9weiYiovphELoPLwnzbrFV6NIjajqnZyIiqgcGoVv5XYw0KFwAMFrw8j5eKSQiqhuD0K0IYGF/W/fRj0+oR/LYKCQiqgOD0N0MjxB33CQAKBpe2sNGIRFRHRiEbihxgCwJAEg+p27JYKOQiKg2DEI31DNE/DGWI3ETEdULg9A9vd5PMsgAsP2y9s0ZniAlIqoRg9A9tfMXfy0fifu5X9UyRiERUQ0YhG5rdm85xAAApwu1ZceZhERE1WMQuq1gA17oZbuV4rV9SoHZscUhInJSDEJ3NqO7FOMvAGSVIvEAB10jIqoGg9Cd6SW82s9WxW8e5qBrRETVYBC6uT/GSn1bCgAlFszeyyuFRERVMQjdnCTwj4G2K4Wfpqp7s9koJCK6BoPQ/Y2IEHe3FQBUDc/u4pVCIqJrMAg9wuKBspcEAJsztDVpbBQSEV3FIPQInQLFY51sdf3MLsXCa4VEROUYhJ7ilb5ygBcAHL+ifZDCJCQismEQeopwH7zQ29Zr5mXeX09EVI5B6EGe6i618xcAMo2Yv5+9ZoiIAAahR/GWseCW8vvrD6knC9hrhoiIQehhfh8rDW0tAJSpmMX564mIGISeRgCLB8gCAPC/0+rPl9goJCJPxyD0OAPDxYPl89fP3KWojEIi8mwMQk+0sL/kowOA3Vnap6k8QUpEHo1B6Ina+omZPWxV/8Ju3kpBRB6NQeihXuwlt/UTAC4bsYC3UhCRB2MQeqgWOvy9/FaKJYfU1HxeKiQiD8Ug9FwPdbh6K8Xzu3mlkIg8FIPQcwngHwNtt1KsPKv+5ySzkIg8EYPQow0IE5M72j4Dj/2s8LZCIvJADEJP984QuVeIAGBScO9GCy8WEpGnYRB6On8vJI+VI1oAQI4JcRuUXJOjy0REZEcMQkJbP7Hqdl0LHQCk5GvDv7OkFbNdSESeQufoAjRcyb+eLc7PbsCGIZOe9ekxpPZ1cj9/w3hwewN27j/ivoBxD9e+TtGWb/LXfdaAnRs69Go57ZXa1zGdPJj9/ss3uudI4JCXX8f2SaqGw3nawFWWNXfo+oSKKqupxqKMV2p8dZqmpYuqm1Ro9fx7upBWtRfj8qK/WHIv31DJrVin1dL0Pnj9i9rXqb1Oa8c6rVaz1qnk4xfxSh2lcps6DfvrQn3bTg040I1y4SCE2aSZjA3ZUKn7/nGtrKxhO9csdQ/TolnMDdy5ubTulVSlYTv3luT/jJAf/UkxKcgowYjvLF+N0Y2NujbYNNS+89oaklrdvVK1slLWaTUaWqdAjb9LKpWgjjqtdVvWaXUbNmedapJcj5XcpU5VO3Vl56lRuuoPsdL6O3VBegAoMOPu7y0fpPCeCiJyc0LTnOVqUGJiYnZ2dmJiYn1WNhqNpqKCwICABhxIeOlR168qzVwGtUEDj+m8hFxHO1tTLKjHD9JqSLLw0texjqpq5gZ2dxEGHwBH8rTx3yvni2wfjJd6S/NukStaFjX9EjSbzQUFBaGhoTXuXO+Nmk+c2nZeVooGfSBZp9UUSdMyMzNbt21X95oNbT2wTqtXc51mZmaGhobKstz472nt3KNO61OYJuHKp0a9DPX5QDRM3X+bGrNzWYe6voQNJ0mNfFu6BYudE3R3b7Dsy9YAzN+vninER8NkgwzU/CUUkg76skYeWui9G7N5HTv3tDrVNNTv/Wy+7xFYpzVp9Pe0dqzTG8JTo1SNiBbYepfu7ra232L/PaWOXWfhbRVE5JYYhFQ9Py98e7tuelfbJ+SnS9qQZMupAmc5kU5E1FQYhFQjWeDdIfI/BsqSAICUfG1wsmVHJrOQiNwKg5Dq8HQP6avRsnVG+6xSjFpj+eoMu5ISkftgEFLd7msnbR6vC/cBgFIFv/9BWXiAWUhEboJBSPUyMFzsnKDrEiQAaMCLu5VpPytmpiERuT4GIdVXe3+xLU43KtLWlfSDFPWu7y35ZY4tFBFRYzEI6QYEG7DuTt2Um20fm43p2q2rLWcL2X2GiFwYg5BujF7CR8PkirFmjuRpg5Mtv2YxC4nIVTEIqSFm9Za+GCl7ywBwyYgRayzfnHN0mYiIGoRBSA30YKy0abyupTcAGC34wxYsPWFwdKGIiG4Yg5Aa7tZWYucEXefyrqTzjnr/6SeljF1JicilMAipUWIDxPZKXUk/OqHewVFJicilMAipsYINWH+nbkoH2z+3ZGiDky2p+ew+Q0SugUFITcBLwrJb8fcepdZRSU/ka4OSLZszmIVE5AIYhNRk/i/WtGK03EIHALkmjF1nee8YLxgSkbNjEFJTured9NPdusgWAoBFxePblBd3KypbhkTkxBiE1MT6tRS74uXeobbuMwsPqBN/UIotji0UEVGNGITU9G7yFb/E6eKjbZ+ulWfVIcmW80VsGBKRM2IQUrPw1eHrMfLMHrYP2MFcbRBHYiMip8QgpOYiCyweKH84TNZLAJBRgmHfWf5zkt1niMi5NCoIFUXp3LlztU/l5eXFxcWFhIRMmDAhLy/PunD9+vVdu3YNCgrq2rXrhg0bGnNochV/uln68S7bpL4mBZO3KC+w+wwROZOGB+HSpUuHDBmSkpJS7bOLFi2Kjo7OyMho27ZtYmIiAFVVH3rooXfeeSc3N/e111579NFHG3xoci23thLb465O6rvogPrHzYqR3WeIyDnoGrxlz549Y2Nj4+Liqn125cqVq1atMhgMCQkJ8fHxCxYssFgsn3322ahRo4qKigwGQ1BQ0PVbpaamrlix4vrl48aNk2W58pLS0tKysrLS0tIGl5+altlsNplMNdVIlB4/jsXDP0ubMgSAL0+rqVeUr0aokS3sW0pPomlaLTVCDmGtkSp/zahJeHl5NfiNbXgQjhw5spZn09PTo6OjAVjbhQD0ev348eOLiooCAgKEEL/88sv1Wx0+fPjDDz+8fvltt92m1+srLyktLTWZTFUWkgOZzWaj0Wg0GmtawQB8MQizDhreP+UFYF+uGLJWfD7E1DdYsWMxPYimaaWlpbXUCNmf9TvCIGwOsiw7IAhrp2maEML6QFGu/qXz8/MrKipaunTpjBkzdu/eXWWre++913oetU5Go9FkMlXbrCSHMJvNkiQFBwfXvtqykbglQk3YrphVXC6V7trqs2yoPLkjO201PU3TysrK6qwRsiez2RwcHMwgdDbN9QcoMjIyLS0NQHp6elRUFICzZ88+++yzAHx9fadOnXrs2LFmOjQ5uf/rLP04/mr3mUe2KjN2sPsMETlMEwfhli1brA/i4uKSkpI0TUtKSoqPjwcQGRn54Ycfbt26VdO0L7/8sk+fPk17aHIhQ1uLHRN03YJto8+8fUS9e4Mlv8yxhSIiD9XEQVhx4XDu3LkHDx5s06bNkSNHZs+eDUCv169cufLpp58ODQ1dvnz5+++/37SHJtcS4y92Trg6+sy6NG3gKksKJ28iIrtr7DVCTdOq/WdQUNCaNWuqrDx8+PC9e/c28ojkNvy88PUY+cXdeOOgCiAlX7s12fLlaN3o8ml+iYjsgJ0UyJFkgcQB8ifDZW8ZAHJMuHO95e0jHH2GiOyHQUiON7mjtH2Crq2fbfKmGTuUSVt4xz0R2QmDkJxCn1CxY4I8KNx2UvTzk+rotZaMEscWiog8AoOQnEVkC7H5Ll3FPYU7MrUBqyx7stl9hoiaF4OQnIi3jE+Gy/8YKMsCAC4Ua7ettnySykuGRNSMGITkdJ7uIa29UxdsAIBSBVO2KjN2KBamIRE1DwYhOaOxUWJ3vK5HyNU77keutVzmqJlE1AwYhOSkYgPE9jjdA+1tH9FfLmm3fMs57omo6TEIyXn5eeHL0fL8/rJUfslwxBrOcU9ETYxBSE5NAC/2ktbcYbtkaLRg8hZl8SFmIRE1GQYhuYA7bxK7ygfp1oBndymv7mMWElHTYBCSa+gYKHZM0I2IsHWfeWWf8uwuhRcMiajxGITkMvy9sP7OqxNWLD6kPv4LJzIkosZiEJIrMcj432h5YnlX0v93XH14C28xJKJGYRCSi9FLWD5KnnKz7aP7xSn1/h8Uk+LYQhGRC2MQkuuRBT68Tf6/zrZPb/I59f5NFs5WQUQNwyAklyQJvDdUfqq77QO8Jk27c72lwOzYQhGRS2IQkqsSwJJB8pw+ts/wT5e0UWssWaWOLRQRuR4GIbm21/rJ7wyxDT2zN1sb9p0lrZgdSYnoBjAIyeUldJU+Hi7rJAA4fkUbulo5kc8sJKL6YhCSO3i4g7RitOwtA8D5Im3Yd5b9OcxCIqoXBiG5ifhoadVYna8OAC4bMXKNZdtlZiER1Y1BSO5jbJTYMM42PPeVMoxdZ1mTxiwkojowCMmtDGklNt+la+0DACUW3LvR8hmnbSKiWjEIyd30ChHbJ+g6BgoAZhWPbFESDzILiahGDEJyQ+39xc936/qE2qZtev5XZcYOTlVBRNVjEJJ7auWDn+7W3R5lm7bp7SPqlK0cnpuIqsEgJLfl54Xksbp7yqdt+jRVnfiDwiFJiagKBiG5M28ZK8bIUzvZPuerzqlj1llyTI4tFBE5FwYhuTlZ4P3b5Bd72T7q2y9rQ1dbzhbyiiER2TAIyf0JYH5/+e3BtiFJj1/RBidb9mUzC4kIYBCS53iim7RitOyjA4BLRgxfY1l/gVlIRAxC8iT3tpN+GK8LNQBAkRnxGyyf83Z7Io/HICTPMjhcbLlbd5OvAFCm4uEtyhu83Z7IszEIyeN0DxY7Jsjdg2232z/3q/LX7QrvtyfyWAxC8kQ3+Yqf43TDI2y32//rqHrPRksxbzEk8kgMQvJQQXpsGKeb1MH2FfjuvDYk2XKBs9sTeR4GIXkuvYRPR8gv97V9Cw7maoOSlQO5zEIiz8IgJI8mgFf6yknDZC8JANKLtdtW87YKIs/CICTCozdLyWN1/l4AUGhG/AbLp6nsSkrkKRiERABw503ip7t1UeW3VUzZqszew56kRB6BQUhk0ztU7Jwg9wyx3Vbx9/3qgz9ytgoi98cgJLrqJl+xLU4X19b2vfjfaXXkWsslo2MLRUTNi0FIdA0/L6y8XX6+fLaKXZnaLd9afsvhWVIit8UgJKpKFljYX1429GpX0mHfWVafZ/cZIvfEICSq3rTO0uqxugAvACgy496NytLDzEIiN8QgJKrRHTeJbRN07fwFAEXDkzuVaT8rZUxDIvfCICSqTfdgsWuCbnC4bVTSD1LUMWstWaWOLRQRNSUGIVEdwn2w+S7dlJttX5afL2l9V3KCeyL3wSAkqptBxkfD5LcGybIAgAvF2vA1lpVneZKUyB0wCInqa0Z3aVWl7jMTf1AWHFDZMCRydQxCohtwVxuxfYIuxl8AUDW8tFv5w49KCUefIXJlDEKiG9MtWOy+Rzcq0tZ95svT6uBky5lCtgyJXBWDkOiGhRiw/k7dX7tenchwwCrLjxeZhUQuiUFI1BBeEv45RP5shOyjA4DsUoxdZ1l0gN1niFwPg5Co4SZ1kH4cr4tsYbvj/oXdypStSqni6GIR0Y1gEBI1yqBwsfseeVD5HfefpKpt/mv+63Zl+2WNp0qJXAKDkKixIluILXfppnayfZuyS/Gvo+qtqy0dvrTM2ascv8JAJHJqOkcXgMgdGGR8cJvcP0zM36+eL7Il3+lCbd5v2rzf1J4honOQiPZDtJ+I9hPt/RHtJ/y8HFtkIrJhEBI1mT93lqZ1kn6+pH1+Sl1xRs0z2ZYfzNUO5lZtFwbpEeUrIlsgooW4yRetfcRNvgj3EWHeaN1CBDAmieyFQUjUlCSB4RFieIT8zmB5bZr6n5PamjTVVF33mStluFKmHckDUM25U4OMMG8RakC4D1p6i5beCDWIUG+EGtDSW4R5I8SAUG/hy28wUaPxa0TULAwy7m0n3dsO+WXyoVztbJF2rgjnirRzhbYHtXcuNSm4UKxdKLb+q8arjN4yQsoDMsQgQgwI9bY9CNFrosQrVq8FGxBiYGQS1YhfDqLmFajH0NZiKESV5ZlGXDZqacW4ZNQuFCOjREsvRlapdtmITKNWXL9h20oVXCzRLpZY/3V9XgYAth3pJVgTMdQb4d4isgXCfURrH7RugXBvEe0vWvs04kUSuTIXDsL/nVxVJsz9WvceHHVLxcL1p388mXe6TUBUfMdxFQv3XjqwI323QWeY1uvhioUXCi9+e2ItgMk9fh+g97cuNCll7+//FMCdMaM7BLevWPnTw18WmAp5rFqO5SO83fJ1Nd+xwn0Q7iOCvS6ezlwbAjzZ/5pj/Xvfp0YF3VqN0nu1zynVskuRY9KOXf5fcVmRET1z1X65JuSYNKMFreQtftIZoxZ50XJHxbGCpIOh8l4FhrPmP1qXlKkoMGX4WdZnFGOnZaJFsx1LEmXtdZ8DyMfIKP/2HQJFhwB0CBDpuf8ziKJhbXoPceL30BWP9f2Zzafzz7rf62qmY9mHCwfhprSfLpdkeUlelStjR/ruLee39Wvdq3JlHM9J/ep4sp/et3JlXC7O+up4MoD7Ot1dURllSpl1YfewLpUrY+2pTRlFl3msWo7lY/B2y9flqGOtPJEMYHBklxE3xaC8Nfngqh+Liy//sav+z30GWpeUWPDKz/t2XdwWE9zrri7jc0zINSG3VDuVdSon/zuIFv7+D+WakGfSSizwFllRuu8ApFvGW1AehCizLiwo63wgt92B8k49A7w3eYvMpBOywbd3hwARG4AOAeJA2u6jWdv6ush76JzH2nlxz9a07e73uprpWPbhwkFIRC10sI7xFmzAxPZXbwv+/Ii0bD9ayNrW+2zfcZOCny7o5v0CAG8PkYyqnGnULpbgcokoyqlx/xYVqXna4TxbOnbVqy1lbLmodfrKEhuAWH/RIUBkF/BGSXJtLhyEv+8Qr3hpXUI7Vl54Z8zobmGdW/uGV154S+veXv28DLK+8sKb/CP/2m8qgEBDQMVCb9lgXVjlJ8kj3X9faC7msXgsFzqWrq+urMRUscQgo2dL27Huig3y9bKlplnxXZk6FUDXsA4lqu5kgXayAKn52pmc310uLcrVOlTe7SXLyHy1k0kLz87XTuTDelXSX/QIkKfAoo9ebon1R2yAiA0Q4YbW8Z3/1NJbuPR72BzHuqP9qO7hXdzvdTXTsexDaE4zDlRiYmJ2dnZiYmJ9VjYajSaTKSgoqLlLRfVkNpvz8/Nbtmzp6IKQjaZply9fbt26dWN2kl+GkwXaqQLtZMHVBxdLbuCPRktvxPiL2AAR44+YABHrL2IDEOUrqvYd8gyZmZmhoaGyLDu6IHQNF24RElFzC9SjX0vRr+U1sWW04GSBdqpQO1WejqcKcL5Ys1Q390Z2KbJLtV+zrslOg4wYfxFT3nyM8RexAWjvL7wZEOQIDEIiujE+OvQIET1CrklHs4pzRdqpApwqz0jrA2N194GYFBy7oh27gsq3fAggytfWcKyIyRh/Ec77OqiZMQiJqAl4SegQIDoEANfeMXmxRDtVgNOF2skC24NTBVp2aTV70GAbQ+CnS9c0H/280M5PBOjRQgeDhBY6oZfhq4Negq8XvCT46YQsIcALkkCgHgCC9QJAoB6SgL8XdBJa6IRBgnVDoir4oSCiZhTZQkS2wG2tr0nHAjNOFWinCrTThThdoJ0q1E7XfHK1yIyKbqsAahlnp55kgQA9AATphQD8vOAlwVuGjw4SEKgXgC0+a1koCwR4XY1bg4wWlf6aBngJ+bqroBxm3WkxCInI3gK80CdU9AmtenL1fJF2qhCnC7TThbaMPF2o5Zc18dEVDdbx0PNM1WZqs/YfDAZUoGrgW9O0Wj5ybZdOrdlcC2u7uQqdgL+X7XhCIKi8U6f1NwFga2dbFwboURHqQXpUdHOyNruvX6fybwIBBOmveWGV13QeDEIicgpekrXvDBB1zV/KHBPSirRiC4wWlCowKlqpUv7YgjIVxRbNrKLIDIuKQjNUIL9MA2xpl18GVUOxRStTbZs4oVrCPq+5gtkp7hcQQJChxmf7horv7tDZoQsVg5CInFqoAaGGytHY2AaFNTU14EqZBqDQDItqS1aLhkKzhvL4rM/CKyZoqBqx+WXa9Wd5i8wwV3fu15Np5b9XqpVVivwyeDd/b6lGBaGiKN26dTt+/Pj1T+Xl5U2ePHnbtm1Dhw795JNPgoODAaxatWrWrFkXLlzo2bPnBx98cPPNNzfm6EREDeAlIdgAACGGajO1Gc/c1XQfoTViq1Vi0Uw1x6c1xWtRpqLYXHWhWUWRxXY8VbvaHq3YW+UVCsqglJetIrQqfkZcX/7KvwmqrIZaX2kVnYPEz3E6+0zM2fAgXLp06RdffJGSklLts4sWLYqOjl6xYsXMmTMTExMXLFhw/vz5SZMmbdiwoXfv3u++++6jjz66bdu2Bh+diMhtBOprfCq4+rRuPKe4UqcBV2poEeok+Nure1Gtl1lr1bNnzzlz5tT07MqVKxMSEgwGQ0JCwjfffAPg9OnTDz744ODBg318fB555JGaEpSIiDyEAIIN1f9ntxRE44dYE6L6Pfj5+WVlZfn4+BiNxlatWhUUFFQ8pShKQkKCJEnvvvtu5U0SExP//e9/t23b9vq9LV++3GC45opqaWmpyWQKDAxsTOGpCZnN5oKCgtDQUEcXhGw0TcvKygoPD697VbKX7Ozs4OBgDrHWHPz8/PT6mlvWtWquzjKapgkhrA8U5epU3Js2bXruuefGjh07b96867fq37//o48+ev3yoKAgSbqm8Xr58uWLFy8OHTq0qQtODZSdnX306NE777zT0QUhG7PZvHv37t/97neOLghdtWHDhrFjx/r6+jq6IG5Ip2t4nDVXEEZGRqalpXXs2DE9PT0qKgqApmkvvfTStm3bli9fXlM3mXbt2o0bN67ap6rYtm3bpk2bRo8e3ZSFpkY4d+7cq6++Gh8f7+iCkE1paen06dMffvjhulcle3nqqad27doVEhLi6ILQNRp+jbBaW7ZssT6Ii4tLSkrSNC0pKcn6x3H79u0rV65MTk6OjIwsKioqKipq2kMTERE1QBO3CEeOHGm9ZDh37tyHHnqoTZs2ffv2/eyzzwBs2bIlJSXFeh+FlfPMAEVERB6rsUFYJcwq/hkUFLRmzZrKT82aNWvWrFmNPBwREVHTcqKRZYKCglasWDF58uT6rHz27NmsrKx6rkx2kJubm5mZyRpxHhaLRafTsUacitlsnjlzpo8PZ5ZqejNmzOjXr1/DtnWiGeoBfPHFFxaLUw4FSERETmzkyJFt2rRp2LbOFYRERER21sS9RomIiFwLg5CIiDwag5CIiDwag5CIiDyaSwZhXl5eXFxcSEjIhAkT8vLyHF0cz7Vq1aru3bsHBQUNGzbsxIkT1oWsHYc7fPhw5dEsWSMOZLFYpk+fHhYWduutt6anp1sXskacjUsGoXWyw4yMjLZt2yYmJjq6OB7KOsHk+++/n5GRMWHChIrR0lk7jpWfnz9lypSSkpKKJawRB3rrrbcKCgrOnTs3ZMiQl19+2bqQNeJ0NBd08803Hzt2TNO0Y8eO3XzzzY4ujofavHnzY489Zn1snXfb+pi140Cqqt5zzz1fffVV5a82a8SB+vTps3//fk3TCgoK9uzZY13IGnE2LnkfYS2THZL9VZlgkrXjQAsXLszOzl68eHHliUJZIw4UGho6bdq0ZcuWxcTEfPTRRz169ABrxPm45KlRrYbJDsn+Nm3a1L9//8DAwKVLl1qXsHYcZfPmzevXr1+wYEGV5awRByooKNA07ciRI3feeee0adOsC1kjzsYlg9A62SGAiskOyf40TXvxxRdfe+215cuXL1y4sGJWTNaOo/zwww9bt27V6/XWP7JCiF9++QWsEYcKCwt78sknIyIiEhISDh8+bF3IGnE2LhmE1092SPZX0wSTrB1HmTdvXsU1DwCapg0dOhSsEYe64447Pv74Y5PJtGzZsltuucW6kDXidOx3ObLp5OXljR8/PioqKi4u7sqVK44ujoeaN29etZ8l1o4zqPzVZo04UEZGxpgxYwIDA4cNG5aammpdyBpxNi7ZWYaIiKipuOSpUSIioqbCICQiIo/GICQiIo/GICQiIo/GICQiIo/GICQiIo/GICQiIo/GICQiIo/GICQiIo/2/wH7GguUNLedUwAAAABJRU5ErkJggg==" + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -1001,21 +989,18 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 32, "metadata": { "scrolled": true }, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[33]:4" - ] + "data": { + "image/png": "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" + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -1046,21 +1031,20 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 33, "metadata": { "scrolled": false }, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[34]:1" - ] + "data": { + "text/plain": [ + "2.110553807928471" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -1077,21 +1061,20 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 34, "metadata": { "scrolled": true }, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[35]:1" - ] + "data": { + "text/plain": [ + "1.0902346693751508" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -1108,7 +1091,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 35, "metadata": {}, "outputs": [], "source": [ @@ -1118,7 +1101,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 36, "metadata": {}, "outputs": [], "source": [ @@ -1131,7 +1114,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 37, "metadata": {}, "outputs": [ { @@ -1140,7 +1123,7 @@ "\"stationary_results.csv\"" ] }, - "execution_count": 38, + "execution_count": 37, "metadata": {}, "output_type": "execute_result" } @@ -1151,21 +1134,9 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 38, "metadata": {}, - "outputs": [ - { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[39]:1" - ] - } - ], + "outputs": [], "source": [ "df_transition = DataFrame(t = solved.t, g =solved.g, λ_ii = solved.λ_ii, c = solved.c, L_tilde = solved.L_tilde, Ω = solved.Ω,\n", " π_rat = solved.π_rat, L_tilde_a = solved.L_tilde_a, L_tilde_x = solved.L_tilde_x,\n", @@ -1174,19 +1145,18 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 39, "metadata": {}, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: df_transition not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: df_transition not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[40]:1" - ] + "data": { + "text/plain": [ + "\"transition_results.csv\"" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -1195,7 +1165,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 40, "metadata": {}, "outputs": [ { @@ -1204,7 +1174,7 @@ "1.8110075391436142" ] }, - "execution_count": 41, + "execution_count": 40, "metadata": {}, "output_type": "execute_result" } @@ -1215,19 +1185,18 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 41, "metadata": {}, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: lambda_tpath not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: lambda_tpath not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[42]:1" - ] + "data": { + "text/plain": [ + "\"welfare_results.csv\"" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -1237,7 +1206,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 42, "metadata": {}, "outputs": [ { @@ -1246,7 +1215,7 @@ "\"autarky_welfare_results.csv\"" ] }, - "execution_count": 43, + "execution_count": 42, "metadata": {}, "output_type": "execute_result" } @@ -1265,19 +1234,16 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 43, "metadata": {}, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[44]:1" - ] + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAGQCAIAAAD9V4nPAAAABmJLR0QA/wD/AP+gvaeTAAAgAElEQVR4nO3deXwTdd4H8O/kaNqmZ1oKbWkLCJRrOeRwQUQOFwVtC+yzwkrVBVfl8UHUfVZgkWVRUQGf9eJh10e0HrsoUnZrUfFCKKcilyJQCnKWNr3TI0k7mcz8nj8CtYQ0vWeSzOf92te+6Mxk8ut0zCe/czjGGAEAAKiVRukCAAAAKAlBCAAAqoYgBFApnucbGhqabhkwYADHcUqVB0ApCEIAlRo2bFhISIjSpQBQnk7pAgCArzh8+DBGz4EKIQgB4Aqj0ah0EQAUgKZRgI5q7Fp79tlno6Kili5d2tyRjLF33nln8uTJMTExPXv2nDZt2hdffNG4d968eRzHvf/++01fIghCbGys0Wisra1t3Lhly5bbb789Li7OZDKNHz/+7bffliSpTeXhOK6goMD1j8Z+Qbc+QtePgiA888wzvXv3DgoKSklJWbVqlSiKx48fnzZtWkxMTEJCwgMPPGCxWNzO772EAL6FAUDHpKamEtGGDRuIKCoqas2aNc0ded999xFRZGTknXfeOWXKFFcX3apVq1x7v/zySyKaOXNm05d88sknRHT//fc3bnn00UeJKDExcdasWXfddVd0dDQR/eY3vxFFsfXlWbduXVxcHBGtW7du3bp1TV/o9nvNmjWrV69eDz744N13363T6Yjot7/9bVRU1JQpUx5++GHXSe69996mJ2+xhAA+BUEI0FGuwIiOjv7qq68kSWrusM8++4yIhg0bVlxc7Npy/Pjx+Ph4vV5/5swZxpggCN27dw8ODq6rq2t81dy5c4lo165drh937txJRP/5n//J87xrS01NzcyZM4nojTfeaFN53GLv+i2uH6dOnWqz2VxbNm/e7PoCvXLlSteWU6dOcRwXExPT+KrWlBDApyAIATrKFRh/+9vfvB82ffp0IsrLy2u6cf369UT0xz/+0fXjokWLiGjTpk2uH202W1hY2A033NCYZ+np6cHBwQ0NDU1PUl5eTkS33nprm8rTyiA8duxY4xabzUZEBoOhaQGSk5Obvqo1JQTwKRgsA9A5Jk+e7P2AgoICg8Fwyy23NN04depUIjp9+rTrx3vuuee1117bsmXL7NmzieiTTz6xWq1/+tOfGrvuTp486XQ6hw0b5nZyjuOOHz/epvK00qBBgxr/HRoaSkRJSUkGg6Fxo9scjNaXEMBHIAgBOkefPn28H1BUVNSjRw+N5poRaomJiUR06dIl149jxozp06fPtm3b7HZ7aGjo+++/r9Fo7r///sbjL1++7HQ6XeNc3NTV1bWpPK2k1Wpb3NJU60sI4CMwahSgc+j1eu8HJCYmlpSUuA2eNJvNdDUOiYjjuLlz59rt9m3btlVXV3/22Wd33HFH414iSk5OTkhI8Ni8w/N8m8rTRVpfQgAfgSAEkElqairP83v37m268auvviKiAQMGNG757W9/S0Rbtmz597//7XA45s+f3/T4gQMHms3mixcvNt14/vz5BQsWvPXWW11Y+lbz/RICuEEQAshk4cKFRPTYY4+Vlpa6tpw4ceLpp5/W6XQPPfRQ42EDBw4cMWLEJ5988vbbb8fExKSlpTU9yeOPP84Yu+eeeyoqKlxb6urq5s+f/3//939hYWHtKJXbcqMd1+klBOhyXTcOB0Alrh9+6ZEkSffeey8RRUVF3XXXXbfddltwcDARPf/8825Hvvjii67/PF2h4mbBggVEFBkZefvtt8+aNctkMhHR3Llz3eYRtliekSNHEtFdd9312GOPeXyhx/MQUWpqatMt1x/WYgkBfAqCEKCjWhk8jDFJkrKysiZOnGgymeLj42+//fYvv/zy+sMKCwtdw0R/+OEHj+f55z//OXnyZJPJZDKZxo4d++677wqC0NbyfPrpp3369NHr9d27d/f4wnYHYYslBPApHMMauwAAoGLoIwQAAFVDEAIAgKohCAEAQNUQhAAAoGoIQgAAUDUEIQAAqBqCEAAAVA1BCAAAqoYgBAAAVUMQAgCAqiEIAQBA1RCEAACgaoEfhCdPnty8eXNzewVB6PTnsamN0+msr69XuhT+TRRFm82mdCn8G2PMarUqXQq/V1dXp3QRFBD4QXjixIns7Ozm9gqCwPO8nOUJPKIoIgg7SJIkXMMOkiTJbrcrXQq/p84vE4EfhAAAAF4gCAEAQNUQhAAAoGoIQgAAUDUEIQAAqBqCEAAAVA1BCAAAqoYgBAAAWWWdlv50ULQ7lS7HVQhCAACQiSDRwv3ii8eki1Ya/C/n1ouS0iUiItIpXQAAAFCF0nr6zdfOaAN3IEMXoaedZvbIPvGt0+zVX2p6hXMej5cYxYd2ecEQhAAAPq3GQRIjIuIlsjuZ214NUfcQLsRXP8vtTqp2sBoHXaijBfvE3/Xj/nKjVsMREU2K536YpVv9g3Trp+LFOR5+gTcLpHonWzVK29WF9NWLBwDg56oddKqanaxmp6rZRSsxdk2S1TupQbxyZK1AokRE1CBSvciISGJU47iyNzKIXMkRpCGjzr3mJBGV1rNgLSWEcomh1C+SG2rihpm4ISbO2OQDvk4gu5NsTmbhye4kXqRagYns55R1qakJjqz5ubmyViBBohoH40Vy69JzSGQTiIjqRdYgkk0gh3TlbDYnc0hERLUOCtJSpJ4ig7goA702VpORck1/XJCGHhuseelHkTyxCSxM76Gm2OkQhAAAnUZktK+UfXxR2nqJldhZahQ3KIobGMWNjCUNRwYNhequJEGIjoKvVnUi9KTVEBEFaylEyxGRhqPIoDa8r4WnYju7bKNT1exAGXvjlJRfzQxaIqI6gZwShespREdhOi7KQKE6CtZShJ7Tcj+nrIvdrgsVfg7GcD3pNRQdxAVpyXhtXARpyKgnIgrRaoK1ZNRTkObK2Yw6LkhDRBQRRNqWgsyoI1szo2bsInUPacNFaDcEIQCojs1JDpGsTiZIV3Li6v8zJ7tSV3NtJCK7k/FX60hu9aem6gSqd9LeUikljEtP0WyarBkRI0dtxiXaQNEGbnA03d7zyps6JaoViCMK15Ou1cMizWZrfHx4V5XSE52GtBzxIhmuawG1CRQqS0YhCAEgwP3tpPTXHyVXC56rVdCooyAthek4veZKTlz9f07HUbCWQnSk5SgiiIgoVMdFX/2k7BV2Tf2pqTA9GTS0bpyup1G+/PNCpyGTQelCtE6ojmxOD0Fod16pdHY1BCEABDJepOd/kLImaH8RzQVrKVTn4QMXlGXUcXYnMxncv0DYnO7tsV0EQQgAgezdM9JQE01N9IlaGngUqnMfieNiczJj61t1OwAT6gGga1l4xd5aZPTiMelPw1AH9GlGHVkFD9vtTvQRAoCvYkTVPFkcrKKByhuoooGVN1BZPaviqYonC8+qeKpxXJlAFq6nfpHcsmGamb00zXWwdZHsc1KPULqlB6qDPs2ob6ZGiMEyAOALeJG+K2f51Sy/mp20sDO1VNnAagWKNlBUEGcyUFwIdQvmYoOpWzDXL4JMBjIFa0wGitRTlIGLCiJG9PFF6YUfpOWHpSVDNXP7avSyNEUxotU/SM+PRnXQ1zU3g8Iuoo8QABR1poa9cUp67yepdzj3i2huQBR3e09NvwiKDebaNMWNI0pP0aSnaHYUs+e+F/+eL305TdemM7TPtkLGcTQtCdVBXxeq42xORnTdYBkBo0YBQCFbL0qvnZCOW9j9/TT703Q3RHROlkxO4CYn6B7/Vrz9c+eX03QRXfwZ98L34tJhMrfFQnsYmx8sE3rdSjpdAUEIAD/LM7M/HRQbRFoyVDOrtyaoC9owX/6l9rFvxDs+c37elVm4u4SVNdB/9MZ4QD/QbNMopk8AgJyOVLBlh8SztfTMSM3sPl04qoUjenWsduF+cfrnzs/u0IU3n4UWnkRGtQITJLIKVxa3dC3XyV+dGm93Xlmf0y6walso04u8SDYnO2Gh5SM0La7vBb4gVHdl2dKmXKuVytOdjCAEAOJFuuUT519v0j6QKsdIFo7of8dpH9knjtvq7B3O1YusxkG8SFbhygrOtQ4SGUUFkZajyCDOtfKLXkNh+isLTxuuTo0P1ZFBQ9FBXHcDk/Ri92jOoCWjThOkoQnxiEH/4HHUqGzVQUIQAgAR/WhhfSO4BQPla0jkiP52s/bjixIRheo0EUEUrKUwPYVouWBt25bHdBFFVlnJx8VFdklxoSsZdVyNw30JV5vAjLI8eoIQhABARIcr2MhYuetPrtGkMr8p+KBQHZnt7htlW1+NsLIMAJBCQQjgEuppsIxNrmVlCEEIAER0BEEIyvE4fULOPkIEIYDaOSTKr2ZDTQhCUIbH6ROoEQKAfI5XsT7hnGwfOgBuQnWcTfA0WEaW2fSEIAQAdBCCspqdPiHL+mqEIASAI5UIQlASmkYBQGGHK9iNCEJQjscgxGAZAJCJINFJCxuGkTKgHM99hAhCAJDHCQtLCePC5OqMAbheM32EMj16ghCEACqHkTKgOKOO7KL7RtQIAUAmRyrRQQgK03Kk5Yi/NgttAgbLAIAsUCMEX3D9KmuYPgEAchAZnbCw4TEIQlCYUcfZndeMl0HTKADI4YSF9TRyXh6NCyCP62dQ2DBYBgBkgLW2wUcY9e4Pqcc8QgCQw+EKdiPaRcEHXN9HiMEyACAHjJQBH3H9k5jQRwgAXU5k9CNGyoBvMOo427WDZQJw1KjFYklLSzOZTOnp6RaLpTV7P//880GDBkVFRQ0aNOjLL7/0cqT3kwOAR6eqWUIoFxmkdDkAPDaNBt5gmTVr1qSkpJjN5uTk5LVr17a4V5KkuXPnrlu3rqqq6plnnpk3b56X83g/OQB4dKqaDY5GdRB8QpinwTKy9RHK9D45OTm5ubkGg2HhwoUZGRkvvPCC971Op/Mf//jH5MmTrVarwWCIiorych7vJyei8vLyrVu3um2MiYkZNWoUz/OCIPA832W/euDjr1K6IH5MEASHwyHzNbxQwyUEE89ft8ijfxJFUf5rGHiUuoYGjqttIJ6/0joqSESkYUIbiqLX6zWadlbtZArCoqKilJQUInJV3VrcGxQUNH36dKvVGhERwXHc3r17vZzH+8mJ6OLFi6+99prbxqFDhw4cOLC+vl4QBJ0OD+duP57n7Xa7wWBQuiB+TBAEm80WHBws55teqjXE6JnN5pDzTbuOKIp2u91msyldEP+m1DXUS0HV9ZzNdiX4agQuVGtsU0nCwsKCgtrZ0C9TADDGOI5z/UMU3VdXbW5vWFiY1Wp99dVXH3vssYMHDzZ3pPeTE9GoUaOys7M9FsxutwuCEBkZ2fHfUbV4njcYDCaTSemC+DFBELRarczXsFISR3fjTKYwOd+064iiyBjDfdhBPM8rcg1jwqUaBzOZjK4f623MqBdlK4lMfYQJCQmFhYVEVFRUlJiY2OLeCxcuPPnkk0RkNBofeOCB/Px8L+fxfnIA8KjIxhKN6CMEn+C2soycQ0ZJtiBMS0vLyspijGVlZWVkZLg25uXlNbc3ISHhrbfe2rVrF2Psww8/HDFihJfzeNwIAN4V2ykxVOlCABCRa9Rok8Eyck4iJNmCcMWKFceOHUtKSjpx4sTy5ctdGydNmtTc3qCgoJycnD/84Q8xMTGbNm3asGGDl/N43AgA3hXbWUIoaoTgE9weSWiTccgoydZHGBUV9emnn7ptZIx52XvrrbcePny4NefxuBEAvKhxkIYID6YHH+G21qicC40SVpYBUKciOzoIwYeEXruyjM3JjHLNpicEIYA6Fdko0ah0IQCucltrVM4VtwlBCKBOxXaWiA5C8BmqGDUKAD6lyEYJGDIKPsOtj1DmwTIIQgA1Qh8h+JTr+ggxWAYAulgx+gjBl7j1EdplfPQEIQgB1KkIkwjBl4S6ByFqhADQxYpsWFYGfIiWI72GGq7OqUfTKAB0LZFRRQPrHoIaIfiQps/mxfQJAOhaJXYWG8zp8F8/+BKjjrNfHS+D6RMA0LWK7RgpAz6n6QwKrCwDAF0LI2XABzWdU495hADQtbC+Gvigpn2EGDUKAF2ryIb11cDnNJ1KiFGjANC1iu1YXw18jlHP2YQrg2UwahQAuhbWVwMfFKpt2jTKjHoMlgGALoM+QvBBRj2aRgFALugjBB/UOGpUkIgR6WVMJwQhgLrYnORkFBmkdDkArtU4alTm6iAhCAHUpsiGDkLwRY0ry9jlnU1PCEIAtSmyY7lt8EWNK8vIPGSUEIQAaoMaIfimxqZRu4imUQDoSngAE/imxgn1NkHWFbcJQQigNsVYaBR8klHH2ZyMZF9olBCEAGpThEdPgE8K1V3pI8RgGQDoWugjBN9kxPQJAJAHFhoF39S4sgxGjQJAF5IYldazHiGoEYLPaawRyvx4ekIQAqhKeQNFBpFBq3Q5AK4T2mSwDJpGAaCrYJVR8FmN0yfsThaKwTIA0EWK7AxDRsE3heqo3kkMNUIA6FLFdsIkQvBNGo6CtNTgxDxCAOhKmDsBvsz1bF47aoQA0EUOV7APz7E+4UqXA6AZYXrO5mR21AgBoNM1iLTyiDj9C+d//0KT2Rf/1YOPCtWR3UlWgRn1srZbyBu7ACC7/aXsgT3iL6K5H2fp40KULg1A84w6sgpkd1KovDN8EIQAAcsh0YrD4j/OsHXjNLN6oSIIvs61uIz8E+oRhACB6WQ1uzdP7B5Ch2bo4rGmGvgDV9Oo/NMnEIQAgUZi9PJxac0P4tox2t/1R0UQ/IZRx1mVGCyDIAQIKCX1dG+e0yHSdxm6XuGYKQH+xHilRojHMAFAe20vYqM/ct7cndtxJ1IQ/M+VplHZn1CPGiFAIHBKtOp78Z3T7P1J2lt6IALBLxl1VOMgiShI3joaghDAJzik9r/2fB27+2sxOYw7OlMXbei8MgHIy6insnom89wJQtMogOJ4kVb9QDP2tnMx7NyL0titznv7af51mxYpCH4tVMeVN8jdLkqoEQIoa5eZLdgnpkZQoV2bX80GRrWhVVOQaOlB8d8X2NapujHd0BwKfs+oo7J6uUfKEGqEAEqp5OmB3eJ9u8Q1ozXZk2hmT8f7Z9vQPFpkYxM/dZ6pocMzkIIQIIw6Km+Qe+4EIQgB5CcxeuOUNHiLEBFEJ36tS0/RENF/9BTe/4mx1p1hRzEbnevMSNHkTtWa0BwKgSJUR+UNcs+mJzSNAsjsu3L2X/vEEB19MU03zPRzTW5olGjQ0jelbFx3b9U7RrT6B+l/T0gbJ+kmxaMiCAHFqOfKG1hqpNw3NoIQQCal9fTUIfGzQrZ6jCazr+b6/9bn9tVsPCuN697smLlqB92/S6xsYAdnaPF8XQg8Rh3xIsn86AmSrWnUYrGkpaWZTKb09HSLxdKavbm5uUOGDImKipowYcLp06eJqKysLDMzMz4+vmfPng899FBdXZ3ryJtvvpm7asGCBfL8RgCt1yDS6h+kIf8STAbK/43uXk8pSET33MBln5OEZjoKf6hioz9y9gmnnXfqkIIQkFy9g/I3jcoUhGvWrElJSTGbzcnJyWvXrm1x76VLlzIzMzds2GA2m9PT0+fNm0dE8+fP792798WLF3/66afo6OiVK1cSEWPs1KlTly9frqurq6ure+WVV+T5jQBagxFtPicN3OI8VMG+TdetHaONaH5oeO9wrn8k98VlDx2F75yWpn7mfG6U5uVfavXo2YcA5YpA+QfLcKy13fMdkpqampubO2DAgFOnTmVkZBQUFHjfm5eXt3Hjxg0bNhBReXn5wIEDKyoqwsPDL1++HBkZSUQWi2XEiBEXLlwoKSnp169fampqQUHBlClT3njjjbi4uKYnz87OXr9+/X//93+7FSkmJmbkyJF2u10QBNc5oX14nrfZbCaTSemC+JwdZm7F95zEaO0oNj7O239ogiDU1tbGxMS8cZrbW8a9N/7nWiEv0h8OcvvKuE23SgNwnzZPFMWqqqpu3bopXRD/VlJS0qNHD6Xe/aKVUnM0/zWA/XV0m4NJr9drNO38kihT8hYVFaWkpBCRq+bX4t6JEydOnDiRiERRXLFixezZs4lo1KhRq1evXrJkicPheO6551xHlpSUjB49+qWXXkpOTn7iiScee+yxDz74wO38Fy9evL6mOHTo0AEDBtTX1wuCoNOhr7T9eJ632+0GAwYv/uyIRfvs8aCies2yQQ0ZPZ0ckc3m7XhBEGw2W3Bw8B2x3J+PGEtr7GE6RkTnrdwD34X0CZO+vLXBqGPeT6Jyoija7XYbrlHHKHwNHRoio54JNhvf1peGhYUFBQW1721lCgDGGMdxrn+IotjKvdu3b1+8ePHUqVNXrVpFRO+8884jjzySlJQUFxe3aNEiVxVk+PDhO3bscB2/evXqwYMHX//uo0aNys7O9lgw1Ag7jud5g8GAGiER/VjFPrvMPr0kna+jP4/QzOuv0Wla9f1AEAStVmsymUxEt8Q7d9VG3ttX86/z0iP7xRUjtP81SEOER8u3QBRFxhjuww7ieV7Ba2hwEpEQExZiMrVzoaX2kSkIExISCgsL+/XrV1RUlJiY2OJextiyZcv27du3adOm/v37uw4zGo05OTmuzN+1a1dqaioRHTlypKGhYdy4cUQUFBSEegnI7EId21PK9pSwLy4zLUfTk7ilw7STErjg9q6XOPcGzYYC6WA521bItt2uGxmLcTGgFqE64kiBJdZk6nZPS0vLyspijGVlZWVkZLg25uXlNbd3//79OTk5W7duTUhIsFqtVquViBYvXvzwww/X1taazealS5cuWrSIiGw228yZM/Pz8x0Ox7PPPjtjxgx5fiNQLUGig+XstRPSnB1izw+c4z52fnyRDYnmvrhDe2627n/HaacltT8FiSg9RXOwnBXb6fAMpCCoC0cUqlNgsIxMb7hixYq5c+cmJSXdeOON//jHP1wbJ02a5Bqqc/3evLy8goKC6OjoxjMwxl588cX58+cnJSUlJiY+8cQTs2bNIqLx48f/5S9/SUtLq6mpmT59+rp16+T5jUBVCm3suzJ2oJx9W8aOVrI+4dy47tz0JO65UZobIjo5q0J19PkdOu/T6gECVahOgekTMo0aVVB2dvbmzZvRR9h1AnLUaEk9Ha5grv8dLJcYozFxmjHduJu6cTfFceGd3XQjCEJNTU1sbGwnn1dNRFGsrKx0GzQObWU2m+Pj4xUsQO8PnX+9STOrl6yThDBaEtSuooHePysdKme1AtU4WI2DzHbmkGhkLDcylru3L7durC45DPUzADkYdST/0ycQhKBSgkSfFUrvnGE7i6W7kjW3JXKRQRQZpInUU/cQSjQi+QAU0DeCk38deQQhqNS0z512Jz2QqnnnVr2X1V4AQE4f/Ur259MjCEG1vq9k+b/RdwtWuhwAoDSsWghqVFpPHEdIQQAgBCGo08lqNigKvYAAQIQgBHXKt7BB0QhCACBCEII65VezgagRAgARIQhBnU4iCAHgKgQhqFF+NRsUpXQhAMA3IAhBdaodZBMoAVPmAYCIEISgQictbGA0hxgEABcEIagO5k4AQFMIQlAdDBkFgKYQhKA6+dWYRAgAP0MQguqctNBADBkFgKsQhKAudidVNLBeeL4gAFyFIAR1OVnN+kdyGuQgAFyFIAR1wUgZAHCDIAR1ybcgCAHgGghCUJeT1TQoWulCAIAvQRCCuqBpFADcIAhBRRwSFdpY3wgEIQD8DEEIKlJQzXqHcXrc9QDQBD4SQEWwpgwAXA9BCCpyspphTRkAcIMgBBXJryaMlAEANwhCUJGTFjSNAoA7BCGohVOic3WsP4aMAsC1EISgFsV2ZjJwITqlywEAPgZBCGpRWk/dQ5QuBAD4HgQhqEVZA8UhCAHgOghCUIuyehYXjA5CAHCHIAS1KEeNEAA8QRCCWpTXs26oEQLAdRCEoBZlDdQtWOlCAIDvQRCCWpTVs7gQ1AgBwB2CENQCo0YBwCMEIahFeT2aRgHAAwQhqEV5AwbLAIAHCEJQhRoH6TUUivXVAOA6CEJQBVQHAaA5CEJQhbJ6jJQBAM8QhKAKZQ2YOwEAniEIQRXK6ikOQ0YBwBMEIahCOZaVAYBmIAhBFcobWDc0jQKAJwhCUAU0jQJAczwE4U033fTBBx/IXxSAroOFRgGgOR6CMC4ubseOHZ37NhaLJS0tzWQypaenWyyW1uzNzc0dMmRIVFTUhAkTTp8+TURlZWWZmZnx8fE9e/Z86KGH6urqWnNyAMLDCAGgeR6CcMWKFd9///3ixYv37NlzqomOvM2aNWtSUlLMZnNycvLatWtb3Hvp0qXMzMwNGzaYzeb09PR58+YR0fz583v37n3x4sWffvopOjp65cqVrTk5ABGV1TMMlgEAjzjGmPsmznML0vVHtl5qampubu6AAQNOnTqVkZFRUFDgfW9eXt7GjRs3bNhAROXl5QMHDqyoqAgPD798+XJkZCQRWSyWESNGXLhwocWTZ2dnr1+//sknn3QrkslkuvHGG+12uyAIrnNC+/A8b7PZTCaT0gVpFiOK2Kip+q2k99U+cUEQamtrY2JilC6IHxNFsaqqqlu3bkoXxL+VlJT06NFD6VK0h16v12ja+V+4h7UXOxJ4zSkqKkpJSSEiV9Wtxb0TJ06cOHEiEYmiuGLFitmzZxPRqFGjVq9evWTJEofD8dxzzzWex/vJiejChQv/8z//47Zx+PDhqamp9fX1giDodFiDsv14nrfb7QaDQemCNKvKwRl1Rke9zaF0SZojCILNZgsORqW1/URRtNvtNptN6YL4N/+9hmFhYUFBQe17rUwBwBhzVTQZY6IotnLv9u3bFy9ePHXq1FWrVhHRO++888gjjyQlJcXFxS1atKixCuL95EQ0evTo7OxsjwVDjbDjeJ43GAy+XCMsrWbdQ0RfLqEgCFqt1pdL6PtEUWSM4Rp2EM/zKryGMgVhQkJCYWFhv379ioqKEhMTW9zLGFu2bNm+ffs2bdrUv39/17bdB3kAABt0SURBVGFGozEnJ8eV+bt27UpNTW3NyQGw0CgAeCFTn0laWlpWVhZjLCsrKyMjw7UxLy+vub379+/PycnZunVrQkKC1Wq1Wq1EtHjx4ocffri2ttZsNi9dunTRokVeTg7QCAuNAoAXMgXhihUrjh07lpSUdOLEieXLl7s2Tpo0qbm9eXl5BQUF0dHR4VcR0YsvvlhVVZWUlDRlypT58+fPmjXLy8kBGuHZ9ADghYdRowEmOzt78+bN6CPsOr4/anTlEZExenqkVumCNEsQhJqamtjYWKUL4sdEUaysrIyLi1O6IP7NbDbHx8crXQq5+epwcoDOU95AWGgUAJqDIITAh4VGAcALBCEEPiw0CgBeIAgh8OFhhADgBYIQAh9qhADgBYIQApxTolqBTL67ABwAKAxBCAGugqdoA2lRIQSAZiAIIcCV1bO4YMQgADQLQQgBDguNAoB3CEIIcOUNrBtqhADQPAQhBDjUCAHAOwQhBDjUCAHAOwQhBLiyBtQIAcAbBCEEOCw0CgDeIQghwKFpFAC8QxBCgMNgGQDwDkEIAQ4LjQKAdwhCCGS8SA0iRQYpXQ4A8GEIQghkZQ2sWwiH+iAAeIEghECGIaMA0CIEIQSyigaKRRACgFcIQpU6XMGULoIczHaMlAGAFiAI1YgRbT4nKV2KLvddOVt2SJyRgiAEAG90ShcAFFBQzb6vDPAa4bZCNm+38+0JuulJCEIA8AZBqEZ7SlixXelCdKX3zkiLvxNzbtON644UBIAWIAjVaE8JK7IHbI3wue+lrAJpz126fpFIQQBoGYJQjfaWsmqe6p0UElh/f0GiBXvFH6rYvnRdDyyrBgCtg8EyqlNkY3UC6x3OFQdWpbBOoIyvnMV2tvNOpCAAtAGCUHV2l7BbemgSjVQUQN2E5+vYL3Od/SK4T27XheuVLg0A+BUEoersLWXju3OJRq7YFiA1wn2lbPzH4oKBmlfHarXoFgSANkIQqs6eEnZLDy4hNEBqhK/nS7/e7nxrgvbRwbiZAaA9AmuwBLTEwtPFOjYihttd4vd9hLxIj34j7jazvDt1A6JQEwSAdsKXaHXZWyqNieN0GkoMJb+eSlhsZ5M+dVp4OjQDKQgAHYIgVJe9JeyWHhoiSjByRX7bR7i9iI36yJmWotk8RRuGoTEA0DEIQnXZXcJu6cER+WuNkBGt+UG6N8/57q26Pw3ToCYIAB2HPkIVqXfSj1Xspm4cESWEckU2xoj8KEsqGigzz9kg0pGZ+vhQpUsDAIECNUIV+bac/cLEheqIiEJ0FKojC690mVrts0I27N/O0d24r6frkIIA0IlQI1SRPVfbRV0SQrliOzMZfL1OWO+kpQfF3Its4yTtxHhfLy0A+B3UCFVkT4l0bRBSkU3B4rTKoQo2IsdpttPRmTqkIAB0BdQI1cIp0Xdl7ObJP3/1STS6phL6aLrUO+mZo+Lbp6V147S/6Y1vbADQVRCEanG0kiWHcSbDz1t8uUa4p4Q9tFfsG0GHZ+gSjT4a1QAQGBCEarG39JoOQiJKNHI/VvncVMIqnp48IG4vZn+7WXsnHi4PAF0PLU5qcaCMuT2uPcHHphIKEr1yXBq4RQgPouO/1iEFAUAeqBGqxXfl7NmR13zvSQjlimySUuVxs72IPf6tGB9K26fpfmFCBAKAfBCEqlDJk4VnfSPdmkZ9oka408xWHhareHrpl9qpiYhAAJAbglAVDpWzkbGcW8h0D+EqGphTIp1CDeRfFbFnjopl9fTUcM3cvho8ShAAFIEgVIWD5WxUN/ec0XIUG8yV1jOZh2WWN9C/zkvvnJFqHbR8hGZ2H0QgACgJQagKByvYfX09pI2rdTTRKEcZ6gT68Jz04TnpUDmbnqR5arjmziQNls0GAMUhCFXhUDl7bayHBtCEUK7IzkZ38Zx6C0+vnZDWnxRvjdf850DNtF9pQnDfAYDPkKl3yGKxpKWlmUym9PR0i8XSmr25ublDhgyJioqaMGHC6dOnXRt37do1fPjw8PDw4cOH796927Xx5ptv5q5asGCBPL+RH7lsY07GUsKaqRF25Zz6igZaeURMzRbO1rI9abrsKdpZvZCCAOBbZArCNWvWpKSkmM3m5OTktWvXtrj30qVLmZmZGzZsMJvN6enp8+bNcx2ZmZn51FNPVVVVLVu2LDMzk4gYY6dOnbp8+XJdXV1dXd0rr7wiz2/kRw5XsNGxnut8rhph1711+pfOS1Y6OEP33kRtaiSaQQHAF8n05TwnJyc3N9dgMCxcuDAjI+OFF17wvvfcuXNz5swZO3YsEd1///2rV692HRkREVFTU2O1Wuvq6sLCwoiotLTU4XBkZGQUFBRMmTLljTfeCA4Odnv3ioqKbdu2uW00mUwjRozgeV4QBJ73n8cRtd03JdyIaPL4O8YFcXssxPPOjpyfv8pt+65Srqye2z5V1HIU0Be4EwiC4HA4Avs+7GqiKOIadpz/XkO9Xq/RtLNqJ1MQFhUVpaSkEJGr5tfi3okTJ06cOJGIRFFcsWLF7NmzXUe+++67o0ePfvDBB4no4MGDRFRSUjJ69OiXXnopOTn5iSeeeOyxxz744AO3858/f/76aujw4cP79+9fX18vCIJOF8itdQdKQxb0FWw2D2ln0ugu1+lttvqOnJ/nebvdbjAY3La/8H3I4/2dDXahIydXCUEQbDbb9d/hoPVEUbTb7Tabr66f6yf89xqGhYUFBQW177UyBQBjjOM41z9EUWzl3u3bty9evHjq1KmrVq1ybVmyZMnixYsff/zxl19+eenSpdu3bx8+fPiOHTtce1evXj148ODr33306NHZ2dkeC2a32wVBiIyM7PCv6KMY0Y81wqTeIaYQD3tTOVZ2QjR53NdqPM8bDAaTydR049FKdtYmPjQsJAir+LWCIAhardbtGkKbiKLIGMM17CCe51V4DWUKwoSEhMLCwn79+hUVFSUmJra4lzG2bNmyffv2bdq0qX///o1HHjhwYOPGjT169FiyZEmvXr2I6MiRIw0NDePGjSOioKCg6+slKne2loXpubhmki4x1PUkps73zBHpyaEapCAA+D6ZPqjS0tKysrIYY1lZWRkZGa6NeXl5ze3dv39/Tk7O1q1bExISrFar1Wp1HTl06NC33nrLarW+9957w4YNIyKbzTZz5sz8/HyHw/Hss8/OmDFDnt/IXxwsZ6Ovm0rfKNpAvEieGk07JL+afVsmPZCKGAQAPyDTR9WKFSuOHTuWlJR04sSJ5cuXuzZOmjSpub15eXkFBQXR0dHhV7mOzMrK2rZtW3x8/JYtW958800iGj9+/F/+8pe0tLTExESLxbJmzRp5fiN/caiCjWpmyKhLfChn7uxK4fPfS4uGaEMDueMVAAIHx5jPPZGuc2VnZ2/evFm1fYQTPnGuvFE7OaHZLLz1E+ezo7QTerR/bgPP8zabrbFf4XwdG/2R86fZ+qh29lurkSAINTU1sbGxShfEj4miWFlZGRcXp3RB/JvZbI6Pj1e6FHJD41Ugkxj9UMlu9FojTDByRbbO/DK09pi0YKAGKQgA/gKtV4Esv5r1COW8Z1Jipz6et9pBm85Kp+/Wd9oZAQC6GGqEgey7cjam+ZEyLgmhnVkj3HJempKo6YbpcADgPxCEgexQhbchoy4JnVoj/OCsdM8NWEoNAPwJgjCQuZ7H6/2YRGOnLTdabGffV7LpSbipAMCf4DMrYFkFOlnNboxpRY2wkxZU2nSWzUjRBGs752wAAPJAEAasfaVsZCzX4jOPEo1csb1z5tBsPCvd0xd3FAD4GXxsBaydZmlifMvddcFaCtVRZUNH366ghpXYqTXvCADgUxCEAWtnMZuc0Kq/b0oYd8Ha0Trhxp+kOTdwWuQgAPgbBGFgqhMov7rluRMufSK4c7UdDcJN59g9N+B2AgD/g0+uwLS7hI3pxrVy3EqfcDpf16G3O1ylZYxaHKEKAOCDEISBaWexNKl17aJE1DucO1/XoRrhlkLdvf1wLwGAX8KHV2DaaWaTWj1upU84d64DQSgy+uiybk4fVAcBwC8hCAOQhaefalpeU6ZRn3A6W9v+t/vazPUMZf0jEYQA4JcQhAFoV4k0tjunb/XfNiWcK7Izp9TOt3u9gH7XR2jniwEAlIYgDEA7i9mk+Db8ZYM01D2Eu9yupbcvWtmBcprVs7Mfcg8AIBcEYQDaaWaTmn8Sr0e9w+lcuwaO/u8J6Xd9KUQb4I93BoAAhiAMNJU8XbK2vMSom/aNl6l30rtnpAf7IwUBwI8hCAPNzmJpfHdO18Y/bPtmUPzzJ2lsd02vsLa+DgDAhyAIA81OM2v9DMJG7ZtT//opaeEg3EIA4N/wKRZodha3YQZhoz4RbW4a3VPC6gS6LRGzJgDAvyEIA0ppPZXUs2Ft7CAkVx9hG5cbXX9SWjhIgxgEAH+HIAwoWy9KUxM17XgERFwI2Z1U1+rZgMV29lWR9Lv+uH8AwO/hgyygbD4v3d2upc64No6XeT1fmnODJkLfjrcCAPAtCMLAUVpPhyvY9KR2/k1b301Y3kB/z5f+MAQ3DwAEAnyWBY4t56W7kjStfPTS9XqH07nWrTi66qh4zw2aGyLQPwgAgQBBGDg+PCfN7sCjcXuHtapp9EId2/iTtGx4e/MWAMDHIAgDRLGdnbSwX3VgMkOfCGpNEC4/LD06WNs9pN3vAwDgWxCEAeLDc2xGL01QB/6efcK5FpcbPVbFthdJf/gFbhsACBz4RAsQH56TZvfp0F+zdzh3wcokr3XCxd+Jfx6hDcdgUQAIIAjCQHDJys7VtmdBmaZCdRSpp5L6ZpNwl5mdrqEHB+CeAYCAgg+1QLDpHPt1b01bF9q+Xp8IrrmBo06J/nhAfGF0h1pfAQB8ED7VAkHH20VdvDyMaflhMTaY7u6MdwEA8Ck6pQsAHXW2lpnt7JYenTCrr3c4eQzCTy6xTWfZoRk6zBwEgMCDL/h+770z0m96t2d90ev1CeeufxjTuTr2+z3OzVO0scGd8BYAAL4GQejfKhrob/nSosGd83e8frnRBpHu/lpcMUI7phtqgwAQmBCE/u2Zo2Jm305b7axPBLlNJVy4X+wXyT2Cp+8CQOBCH6EfO1vLNp2VTv5Hp03rSwzlKhtYvZNCdGRz0pMHxG/L2LfpuEkAIJDhm74fW3ZIeuIXndl1p+EoOYy7aGX7S9mIHGdFA+2+SxeG6fMAENDwZd9fHSxn+0vZ2xM6efHrPuH0yD7xTC29Pl57ZxL6BQEg8CEI/dXi78SVN2pCO/sP2CeCq3XQv27TRhs6+cwAAL4JQeiXPi1k5Q30u/6d37L97EitCREIAGqCIPQhtQL99ZiYX02l9ay8gcob2I0x3JsTtEnGa5ooD5SxR/eLr43VdsrcQTdIQQBQGwShr8g+L/3hW+n2ntyve3M9QjSxwRQbzL19Whr1kfO5UdoHUjUckVWg5YfFzeekl27S3pWMDjwAgE6AIFTeuTq2cL942UYfTtaO635NvC0dpklL5ubtFv91Xrq3n+apQ9KtPbjjv9aj3gYA0FkwfUJhf8+Xbsp1TozXHJ6hc0tBl8HR3P403S09NKuOShvGa9+5FX14AACdCTVCxdQ46OG94platj9N1y/SWzunTkPLhmuWDce3FgCAzofPVmV8V85GfuTsHkItpiAAAHQp1AgV8Pd86dmj4oZbdJixDgCgOJlqhBaLJS0tzWQypaenWyyW1uzNzc0dMmRIVFTUhAkTTp8+7dq4a9eu4cOHh4eHDx8+fPfu3a05ua9594y05gfpm3SkIACAT5ApCNesWZOSkmI2m5OTk9euXdvi3kuXLmVmZm7YsMFsNqenp8+bN891ZGZm5lNPPVVVVbVs2bLMzMzWnNynfHRR+tNB8bM7tClhSEEAAJ8gU9NoTk5Obm6uwWBYuHBhRkbGCy+84H3vuXPn5syZM3bsWCK6//77V69e7ToyIiKipqbGarXW1dWFhYW15uREVFFR8fnnn7ttNJlMw4YN43leEASe57vk177WDjP30F7aOpn1CXHI8oYy4a9SuiB+TBAEh8OBa9gRoijiGnac/15DvV6v0bSzascxxlo+qsPCwsLKy8tDQkLq6+u7d+9eW1vbyr2iKC5cuFCj0axfv56IDh06NHr0aNeugwcPjho1qsWTZ2dn//GPf0xJSXEr0vDhw1euXFlfXy8IQkRERFf81k0dqtLO/Sb4nZsaxsaKXf1eMuN53m63R0dHK10QPyYIQm1tbUxMjNIF8WOiKFosltjYWKUL4t9KS0u7d++udCnaIywsLCgoqH2vlalGyBjjOM71D1F0T4Lm9m7fvn3x4sVTp05dtWqVa8uSJUsWL178+OOPv/zyy0uXLt2+fXuLJyeiMWPGZGdneyyY3W4XBCEyMrITfsnmme10/wHh/cm6XyUG4BxAnucNBoPJZFK6IH5MEAStVotr2BGiKDLGcA07iOd5FV5DmYIwISGhsLCwX79+RUVFiYmJLe5ljC1btmzfvn2bNm3q379/45EHDhzYuHFjjx49lixZ0qtXr9acXHGM6ME9zgUDtb9KRL8gAIDPkWmwTFpaWlZWFmMsKysrIyPDtTEvL6+5vfv378/Jydm6dWtCQoLVarVara4jhw4d+tZbb1mt1vfee2/YsGFeTu471p+USuoJ0+EBAHyTTJ/OK1asOHbsWFJS0okTJ5YvX+7aOGnSpOb25uXlFRQUREdHh1/lOjIrK2vbtm3x8fFbtmx58803vZzcR5yqZk8fEd+fpNUjBwEAfJJMg2UUlJ2dvXnzZkX6CJ0S3fyx8/epmgcHBHIM8jxvs9lU2K/QiQRBqKmpwUCPjhBFsbKyMi4uTumC+Dez2RwfH690KeQWyB/QiltxWIwJpt8HdAoCAPg7LLHWVd4skN49w47O1GGEDACAL0MQdj5G9PQR8Z8/sR13auNClC4NAAB4hSDsZLxI83eL5+vYN+m6bsFKlwYAAFqC7qvOVNFAk7c5JaIddyIFAQD8A4Kw0/xUy8Z97JwUz70/SRusVbo0AADQOmga7RzflbMZXzlXjNAuGIjvFgAA/gRB2Ak+uig9tEd8+1Y8YhAAwP8gCDvq7/nS899LX0zTjYhBCgIA+B8EYYd8Vsie/17am4YH7QIA+CsEYftdqGPzdzs3T9EhBQEA/BdGdrRTvZN+/bW4cqT2lh5IQQAAP4YgbKcF+8TBUdzDWEcUAMDPoWm0Pf76o/RjFduXhqsHAOD38FHeZnlm9tcfxQMZuhBcPAAA/4eWvbYprad788S3J+iSjOgaBAAIBAjCNnBKdPfXzocGaG7viRQEAAgQCMI2WHZI1Gto2XBcNACAwIFurtb65BL78Bw7PEOnRW0QACCAIAhb5Vwde2CPc+uvdLF4uBIAQGBBK1/LeJHu/lpcPlx7UxwqgwAAgQZB2LInvxN7h3OPDsa1AgAIQGgabcHHl6TPCtmhGbhQAACBCZ/v3ly0sgf3iB/9ShcZpHRRAACga6C5r1mCRHN2iE8N1/4SXYMAAIELQdisPx4QE43oGgQACHBoGvXs40vSx5fYkZm4PgAAAQ4f9B4U2dhDe8R/3aaLQtcgAECgQ7ufO4nR/bvERUO047qjaxAAIPAhCN09973kZLR4KK4MAIAqoGn0Gt+Vs9fzpYMztFhQFABAJVDvucYzR8QNt2gTQhGDAABqgRrhNXKn4uESAADqghrhNZCCAABqgyAEAABVQxACAICqqT0IP/744zVr1ihdCv+2f//+pUuXKl0K/3bq1KkFCxYoXQr/VlZWNmfOHKVL4d9EUZw2bZrSpVCA2oOwqqqqsLBQ6VL4t5qamgsXLihdCv9mt9vPnDmjdCn8m8PhOHXqlNKl8G+MsePHjytdCgWoPQgBAEDlEIQAAKBqqphHWFxc/Pbbb3vc9c0335w9e7a5vdAaR48e9XKFoTXOnTtnsVhwDTuisrLSbrfjGnaEJEmMMT+9hlOmTElOTm7faznGWOeWxtfY7fbly5dbLBaPe51Op9PpDA4OlrlUgUQURYfDERISonRB/JgkSQ0NDaGhoUoXxI8xxux2u9FoVLog/s1qtYaFhSldivZ49NFHb7zxxva9NvCDEAAAwAv0EQIAgKohCAEAQNUQhAAAoGoIQgAAUDVVB6HFYklLSzOZTOnp6c0NKwWPcnNzhwwZEhUVNWHChNOnT7s23nzzzdxVWDCsRR4vF+7JNuGuQ7gPW0cUxQEDBjTd4vHeU8kNqeogXLNmTUpKitlsTk5OXrt2rdLF8RuXLl3KzMzcsGGD2WxOT0+fN28eETHGTp06dfny5bq6urq6uldeeUXpYvq05i4X7sk2qWviz3/+85IlS3Aftsarr746bty4goKCphs93ntquSGZivXv3z8/P58xlp+f379/f6WL4zd27tz5+9//3vXvsrKymJgYxpjZbA4LCxs5cmRYWFhGRkZpaamiZfR1zV0u3JPtc+zYsSlTpgiCgPuwNXbs2PHxxx+7ff57vPdUckOqOgiNRqPdbmeM2e328PBwpYvjf5xO54IFCx555BHG2NGjRydNmnT06NHKysr77rtvzpw5SpfOpzV3uXBPtgPP82PGjDlx4gTDfdgWbkHo8d5TyQ2p6gn1RqOxsrIyODjYbrd369bNZrMpXSJ/sn379sWLF0+dOnXVqlU63TVr9ZnN5sGDB1dVVSlVNv/S9HLhnmyHF154obi4eN26dW7bcR96x3HXfP57vPdUckOqYq3R5iQkJBQWFvbr16+oqCgxMVHp4vgNxtiyZcv27du3adOm/v37uzYeOXKkoaFh3LhxRBQUFGQwGBQto69r7nLhnmwrURRff/31r7/+2vUj7sN283jvqeSGVPVgmbS0tKysLMZYVlZWRkaG0sXxG/v378/Jydm6dWtCQoLVarVarURks9lmzpyZn5/vcDieffbZGTNmKF1Mn9bc5cI92VY7duxISkrq27ev60fch+3m8d5Tyw2pYLOs4iwWy/Tp0xMTE9PS0qqrq5Uujt9YtWrV9XeRJEnr16+/4YYbYmNj77vvvpqaGqWL6dOau1y4J9vqnnvuefrppxt/xH3Yem6f/x7vPZXckKruIwQAAFB10ygAAACCEAAAVA1BCAAAqoYgBAAAVUMQAgCAqiEIAQBA1RCEAACgaghCAABQNQQhAACoGoIQAABUDUEIAACqhiAECBDjx4/nPOnRo4fSRQPwaap+HiFAIHn++ecbH0I7c+bMdevW9ezZk4jwTD4A7/D0CYAAxHFcfn7+gAEDlC4IgB9A0ygAAKgaghAAAFQNQQgAAKqGIAQAAFVDEAIAgKohCAEAQNUQhAAAoGoIQgAAUDUEIQAAqBpWlgEAAFVDjRAAAFTt/wEgindi0kkr7gAAAABJRU5ErkJggg==" + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -1286,19 +1252,16 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 44, "metadata": {}, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[45]:1" - ] + "data": { + "image/png": "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" + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -1307,19 +1270,16 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 45, "metadata": {}, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[46]:1" - ] + "data": { + "image/png": "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" + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -1328,19 +1288,16 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 46, "metadata": {}, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[47]:1" - ] + "data": { + "image/png": "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" + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ @@ -1349,19 +1306,16 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 47, "metadata": {}, "outputs": [ { - "ename": "UndefVarError", - "evalue": "UndefVarError: solved not defined", - "output_type": "error", - "traceback": [ - "UndefVarError: solved not defined", - "", - "Stacktrace:", - " [1] top-level scope at In[48]:1" - ] + "data": { + "image/png": "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" + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" } ], "source": [