Bisection.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c9e1923d",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39m[Turing]: progress logging is enabled globally\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39m[AdvancedVI]: global PROGRESS is set as true\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "bisection_sampler (generic function with 2 methods)"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using Turing \n",
    "using ReverseDiff\n",
    "using TorusEvol\n",
    "using StatsPlots\n",
    "using LinearAlgebra\n",
    "using Distributions\n",
    "Turing.setadbackend(:reversediff)\n",
    "Turing.setrdcache(true)\n",
    "#Turing.setadbackend(:forwarddiff)\n",
    "Turing.setprogress!(true)\n",
    "\n",
    "@model function bisection_sampler_vec(p, descs, t)\n",
    "    n = size(descs[1], 2)\n",
    "    D = length(descs)\n",
    "    descs[1] ~ filldist(statdist(p), n)\n",
    "    \n",
    "    x = Matrix{Real}(undef, length(p), n)\n",
    "    for i ∈ 1:n\n",
    "        x[:, i] ~ transdist(p, t, vec(descs[1][:, i]))\n",
    "        for d ∈ 2:D\n",
    "            descs[d][:, i] ~ transdist(p, t, vec(x[:, i]))\n",
    "        end\n",
    "    end\n",
    "end\n",
    "\n",
    "@model function bisection_sampler(p, y, z, t)\n",
    "    y ~ statdist(p)\n",
    "    x ~ transdist(p, t, y)\n",
    "    z ~ transdist(p, t, x)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "bafc34d1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2-element Vector{Float64}:\n",
       "  3.0\n",
       " -0.0"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "2-element Vector{Float64}:\n",
       " -2.7566285884160506\n",
       "  0.1264328368540902"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "2-element Vector{Float64}:\n",
       " -2.7566285884160506\n",
       "  0.1264328368540902"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = WrappedDiffusion(0.0, 0.0, 0.2, 0.2, 1.0, 1.0, 0.2)\n",
    "t = 0.3\n",
    "n = 100\n",
    "x = rand(statdist(p), n)\n",
    "x .= [3.0, -0.0]\n",
    "\n",
    "y = rand(transdist(p, t, x[:, 1]), n)\n",
    "y .= rand(transdist(p, t, x[:, 1]))\n",
    "z = rand(transdist(p, t, x[:, 1]), n)\n",
    "#z .= rand(transdist(p, t, x[:, 1]))\n",
    "z .= y\n",
    "display(x[:, 1])\n",
    "display(z[:, 1])\n",
    "display(y[:, 1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "1c9f734a",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mSampling: 100%|█████████████████████████████████████████| Time: 0:00:02\u001b[39m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "\"C:\\\\Users\\\\stefa\\\\Dropbox\\\\Jotun Hein - Part C Projects\\\\Manolache\\\\Code\\\\TorusEvol\\\\images\\\\sample_dihedral_ancestor2.svg\""
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model = bisection_sampler_vec(p, [y, z], t)\n",
    "torus_proposal(vv) = [MixtureModel([WrappedNormal(v, I), WrappedNormal(v, 20*I)], [0.8, 0.2]) for v ∈ vv]\n",
    "mhs = MH(:x => vv -> torus_proposal(vv))\n",
    "hmc = HMC(0.05, 10, :x)\n",
    "chn = sample(model, mhs, 100)\n",
    "mean_x = reshape([mean(get(chn, :x).x[i]) for i ∈ 1:(2*n)], 2, :)\n",
    "\n",
    "grd = range(-pi, pi, length=100)\n",
    "f(x,y) = pdf(statdist(p), [x,y]);\n",
    "plt = contourf(grd, grd, f, xlims=(-π, π), ylims=(-π, π), fontfamily=\"JuliaMono\", size=(400,400), levels=10, fill=false, label=\"stationary distribution\", color=:bone)\n",
    "scatter!(plt, mean_x[1,:], mean_x[2,:], label=\"predicted x\", alpha=0.3, mc=\"pink\")\n",
    "scatter!(plt, [x[1]], [x[2]], mc=\"red\", label=\"true x\", ms=7)\n",
    "scatter!(plt, [y[1]], [y[2]], mc=\"yellow\", label=\"y\", ms=6)\n",
    "scatter!(plt, [z[1]], [z[2]], mc=\"yellow\", label=\"z\", ms=6)\n",
    "savefig(\"images/sample_dihedral_ancestor2.svg\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "id": "31b08ff5",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "descendant 1"
     ]
    },
    {
     "data": {
      "text/plain": [
       "2×4 Matrix{Float64}:\n",
       " -0.577736  -0.9338     0.735974   0.133129\n",
       "  0.632869   0.831123  -0.668035  -0.491833"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "descendant 2"
     ]
    },
    {
     "data": {
      "text/plain": [
       "2×4 Matrix{Float64}:\n",
       " -0.671123  -0.820961   0.792131  -0.155273\n",
       "  0.608967   0.456907  -0.580628  -0.567634"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ancestor"
     ]
    },
    {
     "data": {
      "text/plain": [
       "2×4 Matrix{Float64}:\n",
       " -0.682919  -0.879359   0.480822   0.154832\n",
       "  0.465581   0.691142  -0.616333  -0.525756"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "ename": "LoadError",
     "evalue": "DimensionMismatch: number of dimensions of `x` (1) must be greater than number of dimensions of `d` (2)",
     "output_type": "error",
     "traceback": [
      "DimensionMismatch: number of dimensions of `x` (1) must be greater than number of dimensions of `d` (2)",
      "",
      "Stacktrace:",
      "  [1] loglikelihood",
      "    @ D:\\Programs\\julia_depot\\packages\\Distributions\\Spcmv\\src\\common.jl:457 [inlined]",
      "  [2] observe(right::DistributionsAD.VectorOfMultivariate{Continuous, WrappedNormal, FillArrays.Fill{WrappedNormal, 1, Tuple{Base.OneTo{Int64}}}}, left::Vector{Float64}, vi::DynamicPPL.ThreadSafeVarInfo{DynamicPPL.UntypedVarInfo{DynamicPPL.Metadata{Dict{AbstractPPL.VarName, Int64}, Vector{Distribution}, Vector{AbstractPPL.VarName}, Vector{Real}, Vector{Set{DynamicPPL.Selector}}}, Float64}, Vector{Base.RefValue{Float64}}})",
      "    @ DynamicPPL D:\\Programs\\julia_depot\\packages\\DynamicPPL\\UFajj\\src\\context_implementations.jl:238",
      "  [3] observe(sampler::DynamicPPL.SampleFromPrior, right::DistributionsAD.VectorOfMultivariate{Continuous, WrappedNormal, FillArrays.Fill{WrappedNormal, 1, Tuple{Base.OneTo{Int64}}}}, left::Vector{Float64}, vi::DynamicPPL.ThreadSafeVarInfo{DynamicPPL.UntypedVarInfo{DynamicPPL.Metadata{Dict{AbstractPPL.VarName, Int64}, Vector{Distribution}, Vector{AbstractPPL.VarName}, Vector{Real}, Vector{Set{DynamicPPL.Selector}}}, Float64}, Vector{Base.RefValue{Float64}}})",
      "    @ DynamicPPL D:\\Programs\\julia_depot\\packages\\DynamicPPL\\UFajj\\src\\context_implementations.jl:235",
      "  [4] tilde_observe(::DynamicPPL.IsLeaf, ::DynamicPPL.DefaultContext, ::DynamicPPL.SampleFromPrior, ::DistributionsAD.VectorOfMultivariate{Continuous, WrappedNormal, FillArrays.Fill{WrappedNormal, 1, Tuple{Base.OneTo{Int64}}}}, ::Vector{Float64}, ::DynamicPPL.ThreadSafeVarInfo{DynamicPPL.UntypedVarInfo{DynamicPPL.Metadata{Dict{AbstractPPL.VarName, Int64}, Vector{Distribution}, Vector{AbstractPPL.VarName}, Vector{Real}, Vector{Set{DynamicPPL.Selector}}}, Float64}, Vector{Base.RefValue{Float64}}})",
      "    @ DynamicPPL D:\\Programs\\julia_depot\\packages\\DynamicPPL\\UFajj\\src\\context_implementations.jl:137",
      "  [5] tilde_observe(::DynamicPPL.DefaultContext, ::DynamicPPL.SampleFromPrior, ::DistributionsAD.VectorOfMultivariate{Continuous, WrappedNormal, FillArrays.Fill{WrappedNormal, 1, Tuple{Base.OneTo{Int64}}}}, ::Vector{Float64}, ::DynamicPPL.ThreadSafeVarInfo{DynamicPPL.UntypedVarInfo{DynamicPPL.Metadata{Dict{AbstractPPL.VarName, Int64}, Vector{Distribution}, Vector{AbstractPPL.VarName}, Vector{Real}, Vector{Set{DynamicPPL.Selector}}}, Float64}, Vector{Base.RefValue{Float64}}})",
      "    @ DynamicPPL D:\\Programs\\julia_depot\\packages\\DynamicPPL\\UFajj\\src\\context_implementations.jl:135",
      "  [6] tilde_observe(context::DynamicPPL.SamplingContext{DynamicPPL.SampleFromPrior, DynamicPPL.DefaultContext, Random.TaskLocalRNG}, right::DistributionsAD.VectorOfMultivariate{Continuous, WrappedNormal, FillArrays.Fill{WrappedNormal, 1, Tuple{Base.OneTo{Int64}}}}, left::Vector{Float64}, vi::DynamicPPL.ThreadSafeVarInfo{DynamicPPL.UntypedVarInfo{DynamicPPL.Metadata{Dict{AbstractPPL.VarName, Int64}, Vector{Distribution}, Vector{AbstractPPL.VarName}, Vector{Real}, Vector{Set{DynamicPPL.Selector}}}, Float64}, Vector{Base.RefValue{Float64}}})",
      "    @ DynamicPPL D:\\Programs\\julia_depot\\packages\\DynamicPPL\\UFajj\\src\\context_implementations.jl:130",
      "  [7] tilde_observe!!(context::DynamicPPL.SamplingContext{DynamicPPL.SampleFromPrior, DynamicPPL.DefaultContext, Random.TaskLocalRNG}, right::DistributionsAD.VectorOfMultivariate{Continuous, WrappedNormal, FillArrays.Fill{WrappedNormal, 1, Tuple{Base.OneTo{Int64}}}}, left::Vector{Float64}, vi::DynamicPPL.ThreadSafeVarInfo{DynamicPPL.UntypedVarInfo{DynamicPPL.Metadata{Dict{AbstractPPL.VarName, Int64}, Vector{Distribution}, Vector{AbstractPPL.VarName}, Vector{Real}, Vector{Set{DynamicPPL.Selector}}}, Float64}, Vector{Base.RefValue{Float64}}})",
      "    @ DynamicPPL D:\\Programs\\julia_depot\\packages\\DynamicPPL\\UFajj\\src\\context_implementations.jl:183",
      "  [8] tilde_observe!!(context::DynamicPPL.SamplingContext{DynamicPPL.SampleFromPrior, DynamicPPL.DefaultContext, Random.TaskLocalRNG}, right::DistributionsAD.VectorOfMultivariate{Continuous, WrappedNormal, FillArrays.Fill{WrappedNormal, 1, Tuple{Base.OneTo{Int64}}}}, left::Vector{Float64}, vname::AbstractPPL.VarName{:descs, Setfield.IndexLens{Tuple{Int64}}}, vi::DynamicPPL.ThreadSafeVarInfo{DynamicPPL.UntypedVarInfo{DynamicPPL.Metadata{Dict{AbstractPPL.VarName, Int64}, Vector{Distribution}, Vector{AbstractPPL.VarName}, Vector{Real}, Vector{Set{DynamicPPL.Selector}}}, Float64}, Vector{Base.RefValue{Float64}}})",
      "    @ DynamicPPL D:\\Programs\\julia_depot\\packages\\DynamicPPL\\UFajj\\src\\context_implementations.jl:170",
      "  [9] bisection_sampler_vec(__model__::DynamicPPL.Model{typeof(bisection_sampler_vec), (:p, :descs, :t), (), (), Tuple{WrappedDiffusion, Vector{Vector{Float64}}, Float64}, Tuple{}, DynamicPPL.DefaultContext}, __varinfo__::DynamicPPL.ThreadSafeVarInfo{DynamicPPL.UntypedVarInfo{DynamicPPL.Metadata{Dict{AbstractPPL.VarName, Int64}, Vector{Distribution}, Vector{AbstractPPL.VarName}, Vector{Real}, Vector{Set{DynamicPPL.Selector}}}, Float64}, Vector{Base.RefValue{Float64}}}, __context__::DynamicPPL.SamplingContext{DynamicPPL.SampleFromPrior, DynamicPPL.DefaultContext, Random.TaskLocalRNG}, p::WrappedDiffusion, descs::Vector{Vector{Float64}}, t::Float64)",
      "    @ Main .\\In[1]:13",
      " [10] macro expansion",
      "    @ D:\\Programs\\julia_depot\\packages\\DynamicPPL\\UFajj\\src\\model.jl:593 [inlined]",
      " [11] _evaluate!!(model::DynamicPPL.Model{typeof(bisection_sampler_vec), (:p, :descs, :t), (), (), Tuple{WrappedDiffusion, Vector{Vector{Float64}}, Float64}, Tuple{}, DynamicPPL.DefaultContext}, varinfo::DynamicPPL.ThreadSafeVarInfo{DynamicPPL.UntypedVarInfo{DynamicPPL.Metadata{Dict{AbstractPPL.VarName, Int64}, Vector{Distribution}, Vector{AbstractPPL.VarName}, Vector{Real}, Vector{Set{DynamicPPL.Selector}}}, Float64}, Vector{Base.RefValue{Float64}}}, context::DynamicPPL.SamplingContext{DynamicPPL.SampleFromPrior, DynamicPPL.DefaultContext, Random.TaskLocalRNG})",
      "    @ DynamicPPL D:\\Programs\\julia_depot\\packages\\DynamicPPL\\UFajj\\src\\model.jl:576",
      " [12] evaluate_threadsafe!!(model::DynamicPPL.Model{typeof(bisection_sampler_vec), (:p, :descs, :t), (), (), Tuple{WrappedDiffusion, Vector{Vector{Float64}}, Float64}, Tuple{}, DynamicPPL.DefaultContext}, varinfo::DynamicPPL.UntypedVarInfo{DynamicPPL.Metadata{Dict{AbstractPPL.VarName, Int64}, Vector{Distribution}, Vector{AbstractPPL.VarName}, Vector{Real}, Vector{Set{DynamicPPL.Selector}}}, Float64}, context::DynamicPPL.SamplingContext{DynamicPPL.SampleFromPrior, DynamicPPL.DefaultContext, Random.TaskLocalRNG})",
      "    @ DynamicPPL D:\\Programs\\julia_depot\\packages\\DynamicPPL\\UFajj\\src\\model.jl:567",
      " [13] evaluate!!(model::DynamicPPL.Model{typeof(bisection_sampler_vec), (:p, :descs, :t), (), (), Tuple{WrappedDiffusion, Vector{Vector{Float64}}, Float64}, Tuple{}, DynamicPPL.DefaultContext}, varinfo::DynamicPPL.UntypedVarInfo{DynamicPPL.Metadata{Dict{AbstractPPL.VarName, Int64}, Vector{Distribution}, Vector{AbstractPPL.VarName}, Vector{Real}, Vector{Set{DynamicPPL.Selector}}}, Float64}, context::DynamicPPL.SamplingContext{DynamicPPL.SampleFromPrior, DynamicPPL.DefaultContext, Random.TaskLocalRNG})",
      "    @ DynamicPPL D:\\Programs\\julia_depot\\packages\\DynamicPPL\\UFajj\\src\\model.jl:502",
      " [14] evaluate!!(model::DynamicPPL.Model{typeof(bisection_sampler_vec), (:p, :descs, :t), (), (), Tuple{WrappedDiffusion, Vector{Vector{Float64}}, Float64}, Tuple{}, DynamicPPL.DefaultContext}, rng::Random.TaskLocalRNG, varinfo::DynamicPPL.UntypedVarInfo{DynamicPPL.Metadata{Dict{AbstractPPL.VarName, Int64}, Vector{Distribution}, Vector{AbstractPPL.VarName}, Vector{Real}, Vector{Set{DynamicPPL.Selector}}}, Float64}, sampler::DynamicPPL.SampleFromPrior, context::DynamicPPL.DefaultContext)",
      "    @ DynamicPPL D:\\Programs\\julia_depot\\packages\\DynamicPPL\\UFajj\\src\\model.jl:515",
      " [15] (::DynamicPPL.Model{typeof(bisection_sampler_vec), (:p, :descs, :t), (), (), Tuple{WrappedDiffusion, Vector{Vector{Float64}}, Float64}, Tuple{}, DynamicPPL.DefaultContext})(::Random.TaskLocalRNG, ::Vararg{Any})",
      "    @ DynamicPPL D:\\Programs\\julia_depot\\packages\\DynamicPPL\\UFajj\\src\\model.jl:475",
      " [16] DynamicPPL.VarInfo(rng::Random.TaskLocalRNG, model::DynamicPPL.Model{typeof(bisection_sampler_vec), (:p, :descs, :t), (), (), Tuple{WrappedDiffusion, Vector{Vector{Float64}}, Float64}, Tuple{}, DynamicPPL.DefaultContext}, sampler::DynamicPPL.SampleFromPrior, context::DynamicPPL.DefaultContext)",
      "    @ DynamicPPL D:\\Programs\\julia_depot\\packages\\DynamicPPL\\UFajj\\src\\varinfo.jl:135",
      " [17] default_varinfo(rng::Random.TaskLocalRNG, model::DynamicPPL.Model{typeof(bisection_sampler_vec), (:p, :descs, :t), (), (), Tuple{WrappedDiffusion, Vector{Vector{Float64}}, Float64}, Tuple{}, DynamicPPL.DefaultContext}, sampler::DynamicPPL.Sampler{MH{(:x,), NamedTuple{(:x,), Tuple{AdvancedMH.StaticProposal{false, var\"#257#258\"}}}}}, context::DynamicPPL.DefaultContext)",
      "    @ DynamicPPL D:\\Programs\\julia_depot\\packages\\DynamicPPL\\UFajj\\src\\sampler.jl:80",
      " [18] default_varinfo(rng::Random.TaskLocalRNG, model::DynamicPPL.Model{typeof(bisection_sampler_vec), (:p, :descs, :t), (), (), Tuple{WrappedDiffusion, Vector{Vector{Float64}}, Float64}, Tuple{}, DynamicPPL.DefaultContext}, sampler::DynamicPPL.Sampler{MH{(:x,), NamedTuple{(:x,), Tuple{AdvancedMH.StaticProposal{false, var\"#257#258\"}}}}})",
      "    @ DynamicPPL D:\\Programs\\julia_depot\\packages\\DynamicPPL\\UFajj\\src\\sampler.jl:71",
      " [19] step(rng::Random.TaskLocalRNG, model::DynamicPPL.Model{typeof(bisection_sampler_vec), (:p, :descs, :t), (), (), Tuple{WrappedDiffusion, Vector{Vector{Float64}}, Float64}, Tuple{}, DynamicPPL.DefaultContext}, spl::DynamicPPL.Sampler{MH{(:x,), NamedTuple{(:x,), Tuple{AdvancedMH.StaticProposal{false, var\"#257#258\"}}}}}; resume_from::Nothing, init_params::Nothing, kwargs::Base.Pairs{Symbol, Union{}, Tuple{}, NamedTuple{(), Tuple{}}})",
      "    @ DynamicPPL D:\\Programs\\julia_depot\\packages\\DynamicPPL\\UFajj\\src\\sampler.jl:98",
      " [20] step(rng::Random.TaskLocalRNG, model::DynamicPPL.Model{typeof(bisection_sampler_vec), (:p, :descs, :t), (), (), Tuple{WrappedDiffusion, Vector{Vector{Float64}}, Float64}, Tuple{}, DynamicPPL.DefaultContext}, spl::DynamicPPL.Sampler{MH{(:x,), NamedTuple{(:x,), Tuple{AdvancedMH.StaticProposal{false, var\"#257#258\"}}}}})",
      "    @ DynamicPPL D:\\Programs\\julia_depot\\packages\\DynamicPPL\\UFajj\\src\\sampler.jl:84",
      " [21] macro expansion",
      "    @ D:\\Programs\\julia_depot\\packages\\AbstractMCMC\\F9Hbk\\src\\sample.jl:125 [inlined]",
      " [22] macro expansion",
      "    @ D:\\Programs\\julia_depot\\packages\\ProgressLogging\\6KXlp\\src\\ProgressLogging.jl:328 [inlined]",
      " [23] (::AbstractMCMC.var\"#20#21\"{Bool, String, Nothing, Int64, Int64, Base.Pairs{Symbol, Union{}, Tuple{}, NamedTuple{(), Tuple{}}}, Random.TaskLocalRNG, DynamicPPL.Model{typeof(bisection_sampler_vec), (:p, :descs, :t), (), (), Tuple{WrappedDiffusion, Vector{Vector{Float64}}, Float64}, Tuple{}, DynamicPPL.DefaultContext}, DynamicPPL.Sampler{MH{(:x,), NamedTuple{(:x,), Tuple{AdvancedMH.StaticProposal{false, var\"#257#258\"}}}}}, Int64, Int64})()",
      "    @ AbstractMCMC D:\\Programs\\julia_depot\\packages\\AbstractMCMC\\F9Hbk\\src\\logging.jl:12",
      " [24] with_logstate(f::Function, logstate::Any)",
      "    @ Base.CoreLogging .\\logging.jl:514",
      " [25] with_logger",
      "    @ .\\logging.jl:626 [inlined]",
      " [26] with_progresslogger(f::Function, _module::Module, logger::Logging.ConsoleLogger)",
      "    @ AbstractMCMC D:\\Programs\\julia_depot\\packages\\AbstractMCMC\\F9Hbk\\src\\logging.jl:36",
      " [27] macro expansion",
      "    @ D:\\Programs\\julia_depot\\packages\\AbstractMCMC\\F9Hbk\\src\\logging.jl:11 [inlined]",
      " [28] mcmcsample(rng::Random.TaskLocalRNG, model::DynamicPPL.Model{typeof(bisection_sampler_vec), (:p, :descs, :t), (), (), Tuple{WrappedDiffusion, Vector{Vector{Float64}}, Float64}, Tuple{}, DynamicPPL.DefaultContext}, sampler::DynamicPPL.Sampler{MH{(:x,), NamedTuple{(:x,), Tuple{AdvancedMH.StaticProposal{false, var\"#257#258\"}}}}}, N::Int64; progress::Bool, progressname::String, callback::Nothing, discard_initial::Int64, thinning::Int64, chain_type::Type, kwargs::Base.Pairs{Symbol, Union{}, Tuple{}, NamedTuple{(), Tuple{}}})",
      "    @ AbstractMCMC D:\\Programs\\julia_depot\\packages\\AbstractMCMC\\F9Hbk\\src\\sample.jl:116",
      " [29] sample(rng::Random.TaskLocalRNG, model::DynamicPPL.Model{typeof(bisection_sampler_vec), (:p, :descs, :t), (), (), Tuple{WrappedDiffusion, Vector{Vector{Float64}}, Float64}, Tuple{}, DynamicPPL.DefaultContext}, sampler::DynamicPPL.Sampler{MH{(:x,), NamedTuple{(:x,), Tuple{AdvancedMH.StaticProposal{false, var\"#257#258\"}}}}}, N::Int64; chain_type::Type, resume_from::Nothing, progress::Bool, kwargs::Base.Pairs{Symbol, Union{}, Tuple{}, NamedTuple{(), Tuple{}}})",
      "    @ Turing.Inference D:\\Programs\\julia_depot\\packages\\Turing\\Suzsv\\src\\inference\\Inference.jl:160",
      " [30] sample",
      "    @ D:\\Programs\\julia_depot\\packages\\Turing\\Suzsv\\src\\inference\\Inference.jl:149 [inlined]",
      " [31] #sample#2",
      "    @ D:\\Programs\\julia_depot\\packages\\Turing\\Suzsv\\src\\inference\\Inference.jl:146 [inlined]",
      " [32] sample",
      "    @ D:\\Programs\\julia_depot\\packages\\Turing\\Suzsv\\src\\inference\\Inference.jl:139 [inlined]",
      " [33] #sample#1",
      "    @ D:\\Programs\\julia_depot\\packages\\Turing\\Suzsv\\src\\inference\\Inference.jl:136 [inlined]",
      " [34] sample(model::DynamicPPL.Model{typeof(bisection_sampler_vec), (:p, :descs, :t), (), (), Tuple{WrappedDiffusion, Vector{Vector{Float64}}, Float64}, Tuple{}, DynamicPPL.DefaultContext}, alg::MH{(:x,), NamedTuple{(:x,), Tuple{AdvancedMH.StaticProposal{false, var\"#257#258\"}}}}, N::Int64)",
      "    @ Turing.Inference D:\\Programs\\julia_depot\\packages\\Turing\\Suzsv\\src\\inference\\Inference.jl:130",
      " [35] top-level scope",
      "    @ In[182]:20"
     ]
    }
   ],
   "source": [
    "p = WrappedDiffusion(0.0, 0.0, 0.7, 0.7, 1.0, 1.0, 0.2)\n",
    "t = 0.1\n",
    "n=4\n",
    "x = rand(statdist(p), n)\n",
    "ts = Vector{Any}(undef, n); transdist!(ts, p, t, x)\n",
    "D = 2\n",
    "descs = Vector{Any}(undef, D)\n",
    "for d ∈ 1:D\n",
    "    descs[d] = hcat(rand.(ts)...)\n",
    "    print(\"descendant $d\")\n",
    "    display(descs[d])\n",
    "end\n",
    "\n",
    "print(\"ancestor\")\n",
    "display(x)\n",
    "\n",
    "num_samples = 1000\n",
    "burn_in = 500\n",
    "model = bisection_sampler_vec(p, [y, z], t)\n",
    "chn = sample(model, mhs, 10)\n",
    "print(\"random predicted ancestor sample\")\n",
    "pred_x = reshape([get(chn, :x).x[i][end] for i ∈ 1:(2*n)], 2, :)\n",
    "display(pred_x)\n",
    "\n",
    "print(\"mean predicted ancestor\")\n",
    "\n",
    "mean_x = reshape([mean(get(chn, :x).x[i]) for i ∈ 1:(2*n)], 2, :)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 178,
   "id": "cb718dcd",
   "metadata": {},
   "outputs": [],
   "source": [
    "# continuous!!\n",
    "\n",
    "num=10\n",
    "p = jumping(WrappedDiffusion(2.0, 1.0, 0.7, 0.7, 0.1, 0.1, 0.05), 0.1)\n",
    "x = [-2.0, -1.0]\n",
    "t = 1.0\n",
    "y = rand(transdist(p, t, x))\n",
    "z = rand(transdist(p, t, x))\n",
    "grid = range(-pi, pi, length=100)\n",
    "f(x,y) = pdf(statdist(p), [grid,grid]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "id": "61511b15",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mSampling: 100%|█████████████████████████████████████████| Time: 0:00:00\u001b[39m\n"
     ]
    },
    {
     "data": {
      "image/png": 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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "using LinearAlgebra\n",
    "model = bisection_sampler(p, y, z, t)\n",
    "\n",
    "mhs = MH(:x => v -> MixtureModel([WrappedNormal(v, I), WrappedNormal(v, 20*I)], [0.8, 0.2]))\n",
    "hmcda = HMCDA(200, 0.65, 10.3, :x)\n",
    "ch = sample(model, mhs, 1000)\n",
    "plot(ch, fontfamily=\"JuliaMono\")\n",
    "\n",
    "pl = contourf(grid, grid, f, xlims=(-π, π), ylims=(-π, π), fontfamily=\"JuliaMono\", size=(400,400), levels=10, fill=false, label=\"stationary distribution\", color=:bone)\n",
    "scatter!(pl, get(ch, :x).x[1][700:1000], get(ch, :x).x[2][700:1000], label=\"predicted x\", alpha=0.3, mc=\"pink\")\n",
    "scatter!(pl, [x[1]], [x[2]], mc=\"red\", label=\"true x\", ms=7)\n",
    "scatter!(pl, [y[1]], [y[2]], mc=\"yellow\", label=\"y\", ms=6)\n",
    "scatter!(pl, [z[1]], [z[2]], mc=\"yellow\", label=\"z\", ms=6)\n",
    "savefig(\"images/sample_dihedral_ancestor.svg\")\n",
    "display(pl)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "b38c728f",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39m10\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39m10\n",
      "\u001b[32mSampling: 100%|█████████████████████████████████████████| Time: 0:00:07\u001b[39m\n"
     ]
    },
    {
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PikbIfDRSmTYwMDAwMND4TdE89KZNm7RuFhoaOmPGjIcfflhz08nJSS6XAwDDMA4ODrYTuGeV0EgPQfPc+7enb58R5HJHAPhbwSeFM3K5lt6ooxwqBDVvL9ccQY8OXRE2ZtFP+plTLQb9sfGF6HRDKdX7aWYL8EUzsv+cFYLkJCncbEI5CWK8yLbhXMJe/qdB3PB2GLtrsT+bPntM6O1NLiXa+Zjld5SPDJb2Y1+NZt49K4Zv5D+IYWZ2Yhh8Y9F95tU9ZWdnN6xH2RDHcX5+fqH3WXSd4Na4oqAR9ytVxXqTi0W0WgQKcLrgQS3I5oW7k+tK/fcHyQX0RinNr9C+JUIImYmjuXTtdbqiv+UN/cR6k61DuamH+EM5mP3YpJJqeOqIkHREWNqP/SWeNc+ovUaIC1k3iP1jOLv2utjrN3xn0QOSAveLFy+2/pGSk5MTExPXr19f+87jx4/v3LlT8zfP85ol91r/WDZCU8Rd87czB2Gu5PxdmlZCnTji7yQtcHcj10v1HLhTgDOFNMaLnCrAtEuEkGUo52HGYWFFf9ZblyILphfXlmwYzE06wP+VhxFeIw7m0O5beUcWUiZyowMsZvg6xoscTuD+3Z1JOiI8ul/IVOGbi+qmymRnZze60ZIlS9atW9f8gcrLy7/77jtBEFJSUj799FMAeOyxx4KDg5vfq1+/fjt27FiwYIGjo6NarR47dqyfn18Lmm/brijoxJAHP736+pCT+dTDAaTPizdE4H5FQT0dyJgAciqfjjVNyhVCCLXMB+eEvj5kjOWEdA0N9CPrBnGJ+/jtw7lY8ys/byqVAsw/x/1+R1jZnx3Z3iJflkdDmIRA5rOLYq/f+Dmd2Te6Mo6Wd1kI6U2dwH3WrFnR0dG177l79y4A+Pv7az2Qk5PTa6+91swGjS6zRwhJSEhISEiQ2l5US6qCRrg9uNnHm/x5h3o4gMQ8GQAId4ef8/WcLnUqn/b2Jn18mP+mWOfkVISQlblURH+8Jl5MtPhpgMPakVX9uXF7+d2juG5tLDJI1a/LCvqvA0InOXMhkWtjyfOSHFl4pwczrSN5/ZTYeRP/RT9mbKB5pTojo6kTuLdp02bJkiW171EqlYsXL164cKFxW4W0U1RDOQ/+zg+65r4+ZOE5sY0DPNlgraWmRLiRqyV67tyTCzWBOzlTQEUKOKUGIWTORArPHhMWxrBtzTvpWaKEQPJVHDtqN79/NFeTS2mbVl4R3zkrfBLLTvSrcLGKcgKBcrJhCLs/m84+Lqy8Qr/sx4RYSPkjpEd1IryoqKh6/3Z1dR04cODGjRuN2CQkyRUFDXevU2Av3J0UV9PLCtrTS+onuZMboQCDd/DHcvWWOXcqn/b2IZ4O4C0jV3CBJ4SQeVt5VSQEZllUJZnmTQxhPu3NDt8lpClttAcuqYbH9wvfpopHErgZ5rr8rc6G+JMLiVy/tqT37/yic2IVXtu2MXVO6H//+98Nt4iNjT116pSx2oOkulJrZqoGAejtTTp7EOnZbw4snBhRNa0jM/2wMGIXfyq/tb18BQ9XFLSHJwGAPt6k9QdECCHDya2Ad88Iyx9mreza4OQw5v2ezNCdws1Sm+uE/y6kvX7j28rgxDgu3M263tf77BmY3405M4E7W0i7beH3Z9vcu2zLtP8S9fT0LCoqMkJTUIuk1qoFWePhtszDbVvWT3EMzOjEXHmMezSEGb2Hb2Uvf+4ujbr/y6GPDwbuCCGzNu+08FQ4E+1hheFdUjjzZldmyE7hVpkN9cPfpYqj9vAfxTLL4lgHa5/BGSQnW4exn/Vhnz4qPHlQyCk3dYOQUWgP3O/cuSOTWUXqn3W5UgKR7vXvnN+d+aS3Ln2VHQNPRzCPhzIbbrSqiz9VQHvfr2bQx5ucKrChLwyEkGU5U0j3ZdN3ulttfPdCFPNSZ2bITiHHBlbVUKlh8kFh+RXxWAL3WIi1pcc0IyGQpEzkQlyg2xb10n9EAb91rV2dyak///xzvX+Xl5cfOXJk9uzZRmwSkiRVQSPd6/dNLAG2FSNHk0KZuaeEN7vq3uWdyqc1y2539yRpSqpSA67YjJAlqqysXLFiRXl5OaU0KSlJyup4u3btOnz4sLv7vUGFwsLChISEQYMGGbahOqEAr54UFsZY+ZLyr0Qz1SKMPeRweCz4Wu8Q3BUFnbhPiGtLTozjbLBUohMHH/Zip4YxLx4XVl8Tv32IlV5cDlmcOoH75s2bn3766dr3+Pv7jx8/Xkp/jYypSoDbZTRU39PJ+/uSnHKapqRhrjoe+XQBXRBzL+63Y6CLB/n7Lh3gq/8eRKUGAPxJgJABLV++fNy4cSEhIUqlcsmSJYsWLdK6S1RUVFxcnJvbvTq169evDww009UcNt0Qy3mY3tH6h2bf7MqUVQiDd/D7R3N+TqZujQFsyBBfOiF8HMvOtLp5qC0S4U72j+Z+SRcT9wkJgWRxLGvRFTBRU+oE7j4+PqNGjTJVU5BGaoNZpw2lKWmwnNjpu49iCTwawqzPoG931yXUzq8ARTXtVGsyUB8fcjLfIIH7zCOCix38MMD2hlYQMoqKioqysrKQkBAAcHV1jY6OTklJqbfQR0NBQUG1b6anp0+aNMmArdRVpQBvnRZ/HGBtc1Kb8noUL3N0iN/BHxjDSlxX2yKoRXjjtLAji+4ZyXX3tJ7n1RpPdmASApn3zgqdN6kX9WKnhpq6QUjf6oR+X331lanagTSqBOiymc/Vlo/Y6MxUvZgUyqzPEHXb93QBjfWqU6HSQIVlThfQ43l0601RUa33YyOEAABycnLCwsJqbkZGRmZlZbXoCEVFRW3atNF3u/TjixSxhycZ6GdDod68bsxT4Uz8DuG2tcxVvV1GB+3gb5ZC8gSM2utwtYMv+rK7R3E/XBMH7oRzd03dIKRXdQJ3juOa2g4Zx60yKlA4kqMldE5VNDIzVS/i2hJlNVxW6NKznyoQ+9bNq9OMuOupaQ/MTxYWxDCjApifruv4GwMh1DyFQuHh4VFz09PTs7i4uEVHOHHiRFxcnJQtKaXnzp07e9/t27db1tYWyq+A/7skLOltc2kVb3Zlnolg4ndYQ43IfXdo79/58UHM1mGsu72pW2OWurUhx8ZyT3WCCQfIi8eF4ipTNwjpCUbq5iVTBQBwJJc+3uzlreN54pQwg3zrEICJIWRDhvh+zxZnoZzOpy91rrNXiAvhKb1dRts76204ZPdtml0OMzoyHV3pi8eFlzrb3LcvQhYhJSVl5MiRUrZUq9UvvPACuX+5bsSIEW+//bZ+G6NSqWr+fv8c93gg+JDK0lL9Poj5qnn6zwQDqNn+2+y2DqwKd7XI8F2k8Mk/3Job3Ko+1Q/7iCoJb2Ltd9/WTGyrjh9Ml1x3jtwovNeVnxws2Eh6mEZ5eTnP8wxjMXGCo6OjnZ2W2XuSAve1a9dOmzZNH01CWmSqaJc25Eiz65guvyLmlENisKFOxEmhzPTDwvs9G/9vQSW42kHD+rgUILmQNpzJ3sebOZVP24fop6sQKcxPFj7qxXAMDPAjIoWjubS/AXLoEbJxbm5uaWlpNTeLiopqasVIUV5e7uDgwLKSfv/b29ufOHHC0HWHXVxcACBLRTdm8f9MtHOx3hIrjdI8fQCY2xN8XcWxhxy2jeB6SV5m20zkVcCUQ7xI4ewjnK+sBdUJap6+rVGr1c7O4gp/h+fv0peOM2tuwFdxbKy3hb3vOmMYRiaTWVDgLoWkJ7N//35DtwNpZJbS8UHklorebeKq1plC+t5ZYdNQVmawiyWx3qRKgItFjf94mH6YX9NYgsq1EuphT7wd69/fx0ef1dz/ly46sjAhmAEAAvBMBLP8CmbLIKR/fn5+6enpNTdTU1NbVB/m9OnTvXv3NkC7WuuDc+LzkYyPjUXt9UwOY1b0Z8fs4Q/mWNKg+6EcGvMbH+dD9o7irLi0pYH08CRHx3IvRjET/hSePioUVJq6QUhXVvUrxApkqqCDC+nXlhzLbSQeLaqCx/YLyx9mdS7XKAUBeDyUNDpFtZyHQzk0pbiRvv50Ae3dWOHYvvpLc68W4d2z4ie9H5Sqn9aR2ZElNvUjByGkMycnJ5lMlpmZCQAqlerSpUv1SsokJycnJiauX7++0d3//vvvmJgYYzS0Ja6W0G1Z4twuWI0KxgYyGwZzTxzgf0qzgLEPXoR3zgiTDwqrB7ALYtjWLFdiywjAtI5M6mOcmz103qRe+o/IW8Cbj+rDwN28ZKpooJwM8GUaZsuIFKYc4h8LIROCDP6uTQplNmQ0Em0fyqEcgZTGBuPPFdKejc3r7+tDzt2lFbweWrXyihjlDrWLS7ZxgHFBzJprltr3DNvFZ6osacQL2ZRnn332999///TTT7/++uvZs2cT0oJwacaMGQ4OZldE+r2z4twurBvOZQQAgIF+5NhYbtE5cV6yWa+2mami8Tv5UwX0zARuaDuM2VvL1Q4+68P+NZbbc1uM3szvuW3Obz5qBDd37lytGxUWFhqhKQgAMlUQJAdHlrx8on4wuviCWM7DR72MMVbUw5MwBE4X0N51M+F23hJnhTM/pzcSKF8soiPaN/KLwpmDbm3I8Xw6xL+1He6BbDq9wfoaz0YwTx0RXu1iefNtbpfRfXdouhKC5KZuCkKNkclkc+bMaeq/sbGxW7Zsaeq/ZlgI8txd+lce/REXf6glzJUcTeAm/MlPPSSs6s82nLxkcj+lia+fEuZ1Y1+JtrxO3px1dCM7RnC/ZYrP/yX08iKf9WEC5fgCWwYuOzt72bJlzW/0yiuvGKc1Nk6gkF1OA+QkQA5XS6hSDa73594UVsLnl4SLiRxnrGskU8OYtdfF3t51OvKdt+gfw9k118WCSqiXzn6xiHZt0/jHPt6fHMwWh/i39jshXUk7uNR//nFtiT0Lh3JovKWVZNaMc+SUUwALazlCluidM8K/uzFOWEqtLh8ZHBjDzTgsPLyN3zCEDdH3gtw6y6uA544J6aW4uJIBTQhiRrZnPr0oxvzGz+nMvtGVcTS/H2+oHoZlWS9tJFYGQK2UXU69HIk9A/YMxHqTv2ply3ybKj4SzLTTX1FFraZ2JOszxOpaY+tXFFSgEO1BOnuQf+qmuWeXUwBoajHteD9GL1OgMkppaGPJ/TM7Mesbuwhg5vbcpn5OkKNtsS2EdLBz505TN8G8/F3EpBTDrAjMDm2EIwv/G8xODmP6/cFvyzKLvnRDhth9izrKA87g4koG5sjCuz2YsxO4S0W08yb+j0yzOAFQMxhHxwZ1QJCJZJZC8P2sif6+5Oj9+alVAnybKrzWxahfOUFyEu1BttfqxHfcoqMDCAA0DNwv3IVm+ta4tuRiES1Vt6o9+RVgz0CjC2109iAZlraeiEDhQLb4ZAcmt9zCWo4swtdff/3bb79VV+Pawvd88g/3VlfGHuP2JhCAV6KZrcO42cfFecmC2nTB281SOm6vsOBv8ffh3Ie9WHzLjCNQTjYMYVf2Z+cni6P38NdL8IvJfDFffvml1o1cXV2N0BSUqaJB95PMBvo9mJ+6+rrYy4uJcjf2qMP0jsya6w8+vbtuiaPaNx64N5MnAwCOLMR4keN5reoIMkpphyZq6QQ4Q5alLa9xKp8GyklPL5JTbuqmIGvk4uJSXV09Z86cjRs3VlTY+mWdc3fpRQWTFI4xoBb9fMjZCdwVBfT6jf+70Nihm1qExRfE2N/5fm3JuUSut83UGjcfg/3J+URuqD/z0Db+nTNCuT6qSiC9Y5ydnbVuJCW4R62nmZmq0debXCii5TxQgC9TxNe7muAr57FQ5kiOmFcBAFDGQ3IBHezPAEC0B0lpSeAO97JlWjWGk65sMnAPlJNbZRY2PLDntjiiPfFzIjk44o4MoHv37o8//vjSpUvt7e1fe+21X375payszNSNMpmF58SXI3gznHlphrwc4bdh7JtdmdF7+LfPCFWCMR6UAmy+IXbZzB/PE5PHc/O74bURk7Fj4LUuzIVEuxulEL0ZM2fMkaQPh5UtOpYwcKUAACAASURBVGW2MlU06P7EIBkH3dqQUwX090zRmatTA9FonDkYG8j8mi4CwJ93xL4+RG4HoFvg7k8OZrcqQk0vhdAmVr5z5sCRBcuq5r7nDh3RnvGTYY47Moh58+YBgL29/fjx45ctW9amTZu33npr7dq1paUPFojPyckxXQON51IRPZkvTg/BwcMWmBzGXEi0u1oCXbbwG2+IBh1dOJRD+/3Bf3heXBrHbhvOBZvN7Fhb5ucEP8ezqwaw85LF8X8KWVi22JxgRG5GbpY+SJUBgAG+5HCO+H+XxDdMMdyuMb0TszZNBIBdt+iogHvN8HIEOwZqcjyqBEgvpZHNZvL09SGpCqpoRcJthrLxmakaAc7EgnqW4iq4oqD9fIgvjrgjw+M4buTIkUuXLi0rK5s8efKqVasUCgUAzJ8/39RNM4ZF58W5XQy41LS1aiuDTUPYb+LYTy6IfX/nD+l7jVWRwrYsMX4Hn3REeLkzc2YCNxxrtJuZeD9yIZHr4016/cb/N0U062r/tkRSZ3bx4sWuXbsauikoqwwCa5X0HuDHzDoq2DOQGGyywD3ejxRWwsUiuusWrT07VjPo7udEACBVQUNdSPOXoe0Z6O1NjuXShEAdu+aMUjqjQRH3GoFycktFe1hI8YG9d8SBfowDCw4sVItQwQNGFcigUlJSfv75Z7VavXDhQoVC8d5770VFRfG89Q9CX1bQIzniDwPsRLy0pZOh7UhyO+7XdHHWUcHPCV6IZCaGtDaPRVENv6aLX6SILnYwtwvzaAhjtDLHqKXsGPh3d+bxUPL8X8K6NHHlw2xPL8v4nrVikuKFzz//fPXq1QZuia2jAFmqOiPuD7UleRX0//qwJuzUGAJTw8ibpwV7FsLdHrRNMz91WDsCABeLaLdm82Q04v2ZQzliQqCOeabpSujQ9BzpADlkWU4G757bdMT9sSU/GcmpoKF4dRjp1ZYtWxITEwHgwoULP/30E8Mw06ZNi46O1vx3wIABJ06cOHbsmEnbaAwfnxdfjmadOSjVvi1qHAF4ogPzeCjzR6b4bar42klhRidmQhAT601atCSSSg3bssRfM+jhHHF4O2ZFf9YkKaBIB2Gu5M9R3E9p4ug9fFI4814Pc1yry3bUD9xPnjx58OBBpVJZ+07pK6fyPJ+amtqlSxfpLUhLS/vxxx+dnZ0Zhpk6dWq7du2k72tNCirAiQPnWm+Iix182ZdtuFaokU3ryHx4np8dVacZnT3ImYJ7l820JrhrxPuRlxosBytRBQ/F1bSdU3OpMrcsJFWGAuy9Q9/ufu/19HWCnPIm0/cR0s3mzZuDgoLWrVvn6Oj41FNPRUVF1f4vISQuLu6bb74xVfOMI0tFd94Sl8XZad8UacMSeCSYeSSYuVZCf7gmPnNMyC6nw9oxg/xIJzcS4U58ZfV3UanhVhm9XEyP5dHjefSfYjrQj/yrA/PTIDtXfE8s0NQwZng7ZvZxocdW/ocBbF8f/N1lGnUC90OHDm3dunXWrFnu7u7Lly9/4oknqqurN23a9O2332o9UFlZ2XfffcfzfE5OzhdffCHx4ZVK5apVqxYsWGBvb19WVvbZZ5+9/fbbHGeLeQOZdYfbNV6IMv0VxE5uZKAfeaRuuk60B1l97V4UfrGIvhqtvZ2x3iSthBZXgYdDi9uQUUqD5M2N7gTK4WJRiw9rEilFVMZCTYUcPyeSi4unIn3Lz8/fsmXLs88+GxERYeq2mMznKWJSOOPW2OIPSGed3MjHsezHsXCnjO66TU/m07XXxasltFoAL8cHxRVul1G1CEFy0sEVHmrLfNaHifUmuCqnpWsrg41D2E03xMR9/IyOzPsxWGjfBOqEyBs2bHjvvfd8fX0BICcnJyIigmXZ48ePl5SUBAQENH8gZ2fnF1980dHR8dNPP5X+8Pn5+S+99JK9vb3mCN27d09PTw8PD2/5E7F4mSpqtrPpD42p/1Oqswe5XEw18eaFItrNU/tB7Bjo15YcyRXHB7X4g56upB2aHZMOcCZZKsuoWrX7Nh3Z/sEbjYVlkCH069fvgw8+aH6bvn37GqcxJnG3Cn66LqZMxKFdQ2nnTGaFk1n3v66LqkBRTQGAUqgWwc+JNLpeHrICj4YwA3yZZ44JfX/n18Wzxl9kxsbVCaGUSqUmageAqqoqlmUBYPz48Zs3b5ZyLB0WYQ0LC/P396+5eevWLblc3sz2Vqx2EXfz524PcjtyS0VzK0AQwb/pJJba4v2YgzqVJsgohaaKuGsEyuGWheS477ktjmj/4HOHpdyRIWiN2gFg9uzZRmiJqXz1j5gYzPg5mbodNqONA4S6kFAX0sGVRLpj1G7lfGTw2zD2xShm0HZ+6T+GLRiK6qkTuDdar93f3//WrVtGaMqlS5fs7OxsNsc9U0UDnS3pZ2u0B6QUS01w19C5mntGKQ1p9nKEvxPJq6DmX6yKApzIpwP9HjwXTY47QkiPynn4NlUwYSFdhGxBUjhzcjz3c5r4yJ9CkUUtpWLR6qRA+Pv7Z2RkhIaGAoCTk1NZWZlmzqgRVsy+fv36rl275s6dK2XjrKysBQsW1GTeu7m5LVu2DADKy8vVarXmQoHFSVfYPdRGUBk936OsrIwQXX4wdJJz5/LUAKSzK6hUlZJ2cYCbpfa3iso87FsWYl8rtuvvqeXF8XRwSCtQtTP8AJtarRZFUa1W67DvnXJwtbMnVSrV/T7OHZjbpaxKZeXpMjqfZrZMylqndnZ2Dg4tnzUiTWVl5YoVK8rLyymlSUlJPj4+0vc9dOjQiRMnGIaJjIwcN26cgVrYlO+vig/7Mp3c8JRDyLBCXchfY7lF54WeW/mf49mH2uKHzuDqBO4xMTHHjh3TBO79+vU7evToyJEjs7Ky2rRpY9BGXLt2bcOGDW+++abEmLtNmzaDBg2qKS3v5eXl5HQvXnNwcLDQwP1OhRjWhnOSlnOiR4Ig1Lx6LdLdhx7JoSKFeH/i5CT1smhfH+FcqWNCQMueZma5GOGp5cUJkosFgqxjrW2Kq2BNGn0pirB6fVE1gbtu0VKOknZwpbVf8GAPWlBNnZysPBNX59PMlomiqPVFa9HPoeTk5J49e0rvIZcvXz5u3LiQkBClUrlkyZJFixZJ3HHNmjUymWzevHkm+bXGi/DfFHH9YIv8IkDI4nAMvN+T7eVFH93Hv9GVrb3kCzKEOoH7uHHjiouLNX8nJia+8847xcXFp0+ffvzxxw3XgqtXr/7vf/+bP3++ZoqqFHK5fODAgcOGDat3P3OfvttoDJkqIcSVM37bdX7Foj3od6mCWoRXujCM5HK+A/zgaC4d15L5qSKFTJUQ5qblxQmQ09vlpPZzOZYvvnFa/CuP+Tme1WM1A81D6Pai3VCJHVzr7NtODjnlags9aaWz3A+mCbXmRauoqJDJ6tfnO3nyZGlp6eDBgyUeoaysLCQkBABcXV2jo6NTUlJqKsE3IyUlheM4g35rNG/TDTFYDr29ceQPIeNJCCSnxnOJ+4SzhXRlf9bJFqsDGkmdbwUHB4eayalubm4ffvihh4fHjBkz+vfv3/pHSk5OTkxMXL9+fe07r1y5snHjxnnz5mnGL/Pz842TT29uSqpBoNDGUFe8DSLKg6Qq6HUl7ezRgi/IAb7kaF7L8mTulFMPe6J1bdEA5/rzU8/dpa9FM3YMjNrNl1S36DENJaOU1ptl6+0IxVXAW0ZFHGQx5syZ0/DOoUOHnjlzRuIRcnJywsLCam5GRkZmZWVJ2fHIkSOatZ9M5b8p4twuONyOkLEFyslfYzlHFuL+4DNKzX7OmcVqLhpydXUdOXKkxAOVl5d/9913giCkpKRoKkI+9thjwcHBze+1bt06JycnTYY6ABQWFo4aNUpr6Unr02gRdzPnYgdejsSZgxYNZvf2Jv8UU5Ua5JJzQ5pfM7VGgDNJr9tT/F0IMzqRJcHMG6eEh7fxu0ey7Uw9/TdNCQl1z26GgJcjya+kEivzICRFoxOTOnbsKDH4BgCFQuHh4VFz09PTMyUlReK+WVlZ27dvr66u9vT0TEpKMmb64tFcqqiG0S1MxkMI6YUDC6sGsMv+ER/6g98whOuPi+MagN4uZjg5Ob322mvNbBAbG7tly5Z6d0pPmrRumSpqQbUga0R7gNyuZR9LBxZ6eJKT+XRoO6k7ZpTSUAkV7gPlcCinzj3n79LungwB+KwP624vjtgtpEw08dW7DCUNda2f/ODnBDnl4I8Z4MjAOI5TqVSGfpSioqLDhw+//PLLHMcdP35869atjz76aPO7qNXq559/vmbpvZiYmJkzZ+r26J+eZ2aH0+oqvt79lZWVdnZWPpOkGfj0bfbpayZlUWrU8e+nO0BHZ/LoPvXiGPpkiCmH3isrKwkhFpSoaWdnp3Wko04cM2fOnKVLlxqySahxmSoIMtfVl5rRx0eXVQkH+JKjueLQdlIH4dKV9dNLGhUgJ1llDzJOCiqhVP2giOQ7PZjvr4pXS2i4SQtNZJTSDg3eaD9TVISce0p4uTMTaGnXeVBrCIIg/QvMzc0tLS2t5mZRUZG7u7uUHcvKyiZPnqyJwuPi4j7++GOtuzAMExMTUxNaRUZG6hZm3SilJwvpunjWrsEvdDs7O5sN3QCfvm0/fVEUjf/0hwXA4dF0/H64WgofxpisppjmrbegwF1KU+t0bzdv3jx69GhcXJyFFmaxXJmllpcqAwDv9tDlw9Dfl/n4giB9+4zS+ukljQp0JrdUD37Zn7tLe3jW6Sw0VeRNGLiXVEOVAD71ZwzWrMFkvIZtyxL/e0l0ZOHDXvhJtxWU0g0bNvTs2VPi9n5+funp6TU3U1NTo6KipOzYoUOHiooKZ2dnzU0phWVYlp01a1bD2bQt9eVl4ZkI4urQyFnNsqwtf6/h07fZpy+KIiHEJE8/og0cTYDxf/JJx2BVf5YzRfCseestKHCXok7gbm9vf/78+TVr1gwfPnzkyJGurhIyi5E+ZKog1tvUjTCWh9qSs4W0WgR7aR+ldCUNa5Be0pC3DFQ8lPOgmcx+tpD29KoTMQzyI7tu0ecidWmzXjR16cBXBjlGLONeLcLrp8T/9mU/uSgs6GmazhQZgiAIc+bM0STDFBQUTJ8+vd4GUVFRL730ksSjOTk5yWSyzMzMoKAglUp16dKleoVikpOTFy9ePGnSpEmTJtW+f9SoUWvXrtVkTv7111/h4eG6P6WWKK6CX9LFlIm2O7CKkLnxkcGB0dzjB/hH9vEbBnNai0wgKeq8is7Ozi+99FJZWdmePXtef/31yMjIRx55ROsEU9R6mSoaJLeVAEpuB+Fu5EwBjZO2UkO6koZKSJUhAO2cyO0yqll15VwhHR9UZ6/B/uTN0wIF/VZ1b4H0JpL1/ZzIpSLjZQF+kSJGuJOXo5kNN8Tdt2lCoOVd6kGNYln266+/1vw9ZcqUNWvWtPKAzz777MqVK6uqqkRRnD17tsSi7O3atRs4cODnn38uCIKnp2fD3w8G8t0VcVwQ44dzRRAyJzIOfhvGPXNUGLGb3zac0yG9FtVTJ3D/4IMPAMDZ2TkxMfGRRx45ffr08uXLBUGYMGFCXFyciVpoEzJV1BJz3HXW35ccyZUUuJdUg1oEb0dJhw2Uw60y6OQGAHDuLl0QU+e3UIAzkXPkioJGupvmpW6qPI6fE+y9baQ25FXAZxeFY2M5AEgKZ1ZdFRMCbfQKsnWTy/Uw210mkzVaVlKj0XoDGjExMTExMa1vgHRqEb65LG4fgSczQmaHJfD9APaVE8KgHfzukVzb1ubE2bo6kU1QUFDN34SQPn36LF68+Pnnn1+yZInRG2ZDVGooqQabOpUH+JGjuZJKl6crJZWU0QhwJlkqCgBKNeRW0IYLnsf7kwPZJpvh3lR5HD8ZyakwUqv+nSzM6HRvKfjHQ5gjuWKuEbN0kNF89dVXpm6CUW25KYa5Qrc2NjT8gZAFIQBf9mPHB5HBO3j80mml5tIzlErlr7/+umDBAr0swIQaJVJIOipMCpW89KhVeLgtczyPChKC1fQGKxY1QzPiDgDn79JoD9IwJybejxzKMVng3mSOu7GqypwppLtv03d63BuVlNvBxBBm7XVc/MkK1ZRWtBFfpIgvR9tKtiFCFur9nuz0Tsyg7Xx2OS7PpLs6Pd2bb76p+SMzM/OLL76YPXu2IAhffvnl3LlzTdE2mzAvWcgtp8sftq0rvF6O0M6ZXJSQ2J2hhFAXqYcNuF9Y5lyDmakag/zI4RzRVB1GRmnjqTK+MpJXYYwqu3NPCot6Ma61Ju891Yn54arJXhCE9OJsIc0ph7GBGLgjZO7e7MokhTPxO4Q7ZfjNo6M6Pd2dO3eSk5Pnz5//6aefdunS5Ycffpg8ebKbm5upGmf1vk0Vt2fR34ZxjZUvs3L9fcnRXAmBe0tG3APk91JlNLUgG27Qzpl4OJAUI84ErVEtQm45DWxs6VYHFuQcFFUZtgGZKpqqoNM61vnI9/Uhdgwck/BGIOuwdu1aUzdB/75IEWd3Zkw26xwh1BJvdGWe6sQM2Slgzoxu6nyLFxQU7N69e8qUKV999dWQIUNs7WKrkW3PoovOiTtGsB4Opm6KKWjmp2rd7J9iGiF5LmlNqszfTQTuADDIjxw0RbbMzVLazpk0VXvxfil3LUQKal0TW7Zn0dEBjQQ3T4Uzq65itoyt2L9/v6mboGe5FbDjlpjUCYfbEbIYb3VjpoQxI3bxhh6xskp1Oru2bdu+++67nTt3NlVrbMfNUpp0lP9tGBtiS8VkahvgSw7niJmq5qLVCh4uFNHe3i2YnHqrjFYKkK6k0R6N7xXvRw5Km5/6e6aYUaq3ED+jFDo0nfMjMc3904viS8dbsHZVbduyxEYrP04NY/7IEpVq3Y6KkIl9e1n4Vyhjm8MfCFmud3owowLIqN18KX77tFCdwP3tt982VTtszS/pdFIoEys5JLU+7Z3JvG5s7G/8t6lN5lifLqDRHsRJ8oUfFzvgCBzOoZ3cSFPZR4P8maO5opS07v+7JO66pbfAvflq9H4ySSPuq6+Lpwp0aZJKDcfz6Ij2jYxKejnCID/mj0wcdEeWp1qElVfFlzrjcDtClmdxLNvTi4zfy1fqOB5lo+rERBEREaZqh63ZdEP8sp/tJbbXNbcLMzqAPHVE2Jghfj+AbVgq8WguHeDbst82gXLye6bYVJ4MAPjKwEdGLhQ1mUtTI1VB9Tji3lRJGQ0/J9Ca7ZdcQKsFyFLRSgEcW3ju7L0j9vMhLk2sKTnEnxzOoVPCWnZMZG7mz58PAB9++CHDME1VFCgsLDRuowxrfYYY7UFMtTIDQqg1CMDXcezUQ8KkA8KWoSxOU5EIs9hNIE1J8yrgIWnrhlq3SHdybCz3RYrY53f+0kQ737rF7I/mii91blmIGuAM27LoW92aG4GL9yeHcrQE7gWVUFgJGcoWPXhzMkqhv2+T//VzIrWzho7k0iA5BMnrtHBdmji9E7P1pnixJelDGtuyaELTNTcG+pEvUnDE3eKFhT347ZWdnb1s2bKG27zyyitGbJHBLftHfK+HrY+AIGS5GAKrB7Jj9/LP/yWssLHyejrDK4wmsPEGTQwmtlW5vWksgbldmJHtma0368SOvAgn82lLf94EysntMi1B+SAJae6pCupuD8Ycca/Jcb9bBRP38XNO1H811meIkzuQnp7k78KWtUqksPOWOLaxBHeNzh6kpJpicS5Ll5SUlJSUxDAMALAs69UYlrWer8ZT+TS/AkYFYE+KkAWzY2DjEO5sIf3wPI4fSYKBuwlszBAfC8VXvo7EYLKlbuB+vogGu5CWzjkLkBOGaFlAcZAfcyxPbL48S6qCDm/P3NBT4E4BbjSxbKqGb60c9/nJwmMhzIW79Hjeg0ffe4eGuZIOriTGi5xtYeB+qoC2lZHgph+dAAzwYw5jUUgr4uBg/bM1v76MVSARsgYudrB7JLfmuvjjNYzdtcPw0djSlTS3gj6MeTJ1jWjPJBfQ2pWhjubS/i1McAeAAGfo5EbkTSRza3g7QhcPsj2ruQ4iVUH7+hB7BvL1UWg2p5zK7aCZVtXkuJ/Kpztv0Y97s+/3ZOYnP5iwsy5NnBLGAIAOgfv2LDFB26jkQF9y2HRryiK9+/LLLxu939W1sTXALFBBJWy/JT6FVSARsgrejvDHMPbfycK+O/hNpAX2esa28QadGMxgnkw9ThwM8We21Qqmj+ToErgP8CVvddV+Vs+KYL5vtnh5ajGNdCehrkQv2TIZSmh+GSlNHXeBwgvHhU97M652MLUjU1gJmrI2pWrYdUt8PJQBgK5tyNUSWtWSOfjbsujYIC2vyUA/cggDdysil8sbvb+pgN7ifH9VTAxm2lj/dQWEbEWEO9kwhJtyiL9agl9GzcHA3dg2YJ5MEx4JJltv3vu4UoDj+aIOgXugnMyQMAj3aDBzKp9mNV1F/rICotwh1EU/gXt6Ke3QbMF+FzugAJ9dFOUc/KsDAwAsgUW9mHnJgkhh8w0x3v9ejCLjIMyVXCqW2qpMFc2roH20TWbt0oYUVdFsCSUpkUXTZMBbOoHC8lTxhUhreC4IoRr9fcknvdnRu4XCSlM3xYxhx2dUmCfTjIRA5lCOqFIDAKQqqIsd8Xcy1Asl4+CJDsyP1xqPU0vVoKimAXIS6qKfwjIZShqqLUPBV0YWnRe+e/hByu6EYEbGwYYMcV2aOLnDg5eiRdkyf2TS0QHar/AQgP6+zBEcdEeW4LebYqAcenphR4qQtZnekXk0hCTu46sx3b0JWA7SqDbdoImYJ9MEd3vo50N23RYfC2F0S3BvkVkRzLi9wrs9Gnk7UhU03I0QgA6u5K88vYy4w4j2Wp6OvxNMDGFqV6QmAItj2emHhHK+TjHHFgXu27PEZ6UNTA70JYdz6b86SDwwsn6VlZUrVqwoLy+nlCYlJfn4+EjZ67333nNyctL87eXlNWvWLL037BscbkfIei2OZRP3CS/+Jazsbz1VsPQIA3ej2nhD/KwPnohNSgxmtt6kj4XA0Vw6xN+wgXu3NsRXBnvv0JENQupUBdUE0KGu5Kc0PfzqT1fSUBctccbK/mygvH5L4v1IpDsEuzC1F4KN8SI/SJt6X8bDiXy6eai0wN2PLL+CQxzWKSUlJSMjIy4uzsvLS/pey5cvHzduXEhIiFKpXLJkyaJFi6Ts5eTkNG/ePF1bqt1lBb2igIkhGLgjZJ0YAusGsQ9t47++LL4YhZ/0+vAVMZ6MUnqnzOADyRZtfBCz+7ZYJehYUqalZoUzKxsLVR8E7npKlWm+iLtGJzfS6Hqo6+K5xbF1/tGtDbmikDQ/9UgO7emlpcZOja5tSF4FzdNHFR1kcr/88suIESM+//xzADhw4MDSpUuzs7Nff/31vLw8iUeoqKgoKysLCQkBAFdX1+jo6JSUFAO2WLJvLotPRxA7/O5CyHrJ7eCP4eyH5wUsd9YQdn7Gsz2Ljg3CqsPN8ZFBFw+y6qqoFmmYtki39f7VgTmYIzYMVVMVEOkOANDemRRUtqyES0PFVVAlQFuZ9i0b5e0I9UpnSJ+fui9bHOov9TPOEOjvyxzOwUF3a+Dh4TF9+vTXXnsNAH799ddPPvnkueeee+KJJzZs2CDxCDk5ObWXYo2MjMzKypKyoyAIBw4c+Oqrr9auXVtQUKBD45uhUsOv6eLT4fjNhZCVC5KTtQO5Jw8Kt3FxwLqw+zOevbfF4e0wbNfikWDm/b+F/r7GODNd7CAxmFlzvX6oWjPizhIIkJObTRefkSK5kMZ4Ef2+8T29JK2fuv8OHdKSU26gH8FlmKzDjh07HnnkEQAoKiry8fHx8PAAgPj4+PPnz0s8gkKh0Oyl4enpWVxcLGXH7t27Ozo6zpw5Mz4+ftmyZRL3kmjtdXGwP9POGTtShKzf0HZkTmdm/J9CBW/qppgTfea46zaTqbq6etWqVSUlJQzDjBs3LiIiQo9NMh/VIhzLo2sH4S8lLR4NIa+dhAHGSiiaFc5MOSS80fXBDNUqAe6UPRjv12TLhLvp/hCn8mkfHz0/HSnzU/Mr4KaKxrak8sZAX7Kq2fL2yFIolUqZTAYAt27dCgwM1Nxpb28vCK27fiTBmDFjNH84OzvPnDlzx44dU6ZMaX6XysrKmvmsADB16tRvvvmm0S2//sf+sxhepWrxWVpWVkb0/PPZkuDTt9mnr1arRVFUq9WmboiOXugAp/Psnj/Cf9Vbl+C9vLxcEAQLKoPr6OjIcVoic30G7rrNZPr111/j4uK6desmiuKiRYvmzJnj7u6ux1aZib/yaKQ7weVCtGrvTCYEM8OMdWmirw9x4uBQDo33u/eI10posJxw9z/m90u5696eM4V0Wpj+A/fV2uanHsgWB/kxXEv6q26eJLuc5leAj66JPchMaDLUnZ2d8/Ly/Pz8au53cJDaB7m5uaWlpdXcLCoq0qFnDgwM3LRpk9bNHB0d7969q/ml0YzDOZQSYWSoLmViKaVNLUplC/Dp2+zT1wTu0j/4ZmjtYOj9G78x235my1dKJoTIZDILCtylqP9kRFH8/fffn3nmmaSkJM09n3/+uZRBGp1nMmVnZ3fr1g0AGIaZPn367t27W/YMLATmyUi3ZSjbyc14r9WzEcx3qQ+C4FQFjfJ48OitXzz1dL7YW98j7t3akFQFbb7M7b7sFlfmYQk81JYczcVBd4sXERFx8eJFAPj77787duyoufPmzZvt2rWTeAQ/P7/09PSam6mpqTUj99JlZ2dLvPQqxdeXxdlRWE0XIdvizMGWYey8ZOHcXczkBKgXuIuiuHDhwszMzI8++qiqqkpzJ8dxBw8e1HognWcy1ebq6nr9+vWW7mUR9t6hw9tb1W8+qzGtI/PnHTGn/N7NywoaWWtgMUTeqsIymSpKCAToOyXXiYNQF5JS1Fwvtj+bDm35b8XunuQfRStahszDlClTvv7664ULJexIuwAAIABJREFUF969e1eTf6hUKr///vtp06ZJPIKTk5NMJsvMzAQAlUp16dKl6Ojo2hskJycnJiauX7++9p3Hjx/fuXOn5m+e59etWzd8+HA9PB+AnHLYny1O6Yi9KEI2J9yNLO3HPr5fKKk2dVPMQJ1UmV27drm4uMyZM6f2nWPGjFm3bt3QoUObP1DDmUwSR9y9vb1TU1MjIyOrqqp+/PFHOztptessSmElZChpb23LziOTcLGDicHM6uvi/G4MAKQqYEJQvRF33UegTxfQPt4GCTU0ae5NLR6ZpqTVAtRezkmiEBdyFOenWr7w8PBPP/30xo0bMTExACAIwoIFC5RKZXJycnBwsMSDPPvssytXrqyqqhJFcfbs2VKyhPv167djx44FCxY4Ojqq1eqxY8fWTtRpjeVXhCc6MK5W+P2AENJuUihzJJdOOyz8NszWi/PVCdx37tz5n//8p94WQUFBtTMd9W7KlCkrV67cvn07x3Fjx47du3ev1l3y8vJWrFhRs6WPj4/mx4bmKgHLmt0KRztuwkBfRlTfv4phTqqqquzt7U3dChN7qgM8eYR5JVzNEEgtZuZGijVvVXsHyChlqmq9dZqUQYlHPplLenhAVZX+p8R3cyen8mBaSONB9p4sEu8LVS0/4wIcSZpC/w3G00wHVVVVWgcyWJZtaiaTn59fTdDMsuz//d//tbQBMpms3jhObbGxsVu2bKl3JyEkISEhISGhpY+lFaXwUmccbkfIdn3eh+2/nV+aIr4cbdNdQZ0eX6FQNMxH5DhOykCLzjOZHBwcZs+erfm7uLi4dm2BprAs6+LiUnN8rVOaTG5/Dhnqh6OY5qunJ3g6wJ/ZZKg/TS+FTq4P/uVqBw4Mza8kPo66vIPJhTC/i97aWdvo9vSji+SDHsTToZGGHcghY9rr0uBgOb2pYgDwdEXmZUGM2Y3IIISMyYGFTUPY3r/zfX2I3mu1WZA6gbudnR2ltF6YLgiClMi44UymqKiolrZm8+bNgwcP1rqZl5fXE088MWzYsHr3C4Lg4OBghiPuB3P593uxDg7meJ5VV1db9HxzfXkuSvwhnUZ5Mb4ywd25zgvSwZW/U8UG3J8vyzCMxEn6AoXzRep+/nYOBhhrDneAyR2FJZfhi771T3iRwpE89ZdxdjqccqH2UFilBs7BQa8fIzzNdKBWq/FFQwihGoFy8nUcO/mQcHYC52arF3HrXG4IDAxMTU2tt0XtogTN0G0mUw1K6erVqz08PEJDQ1v2DMzepSLqyEKoizlG7ajGkx2YY7ni7tt1ZqZqhLqSdKUuI9D/FNP2zsTdYJ3LO93ZX9LE6yX123buLvVxJO11mhHLEmjnTLJat+YUMluaUjMIIWShJoYww9uRp48afEkKs1VnxH3y5MnffPPNxx9/XDPErlQq16xZ884770g5lg4zmQBg/fr1t27dEgShf//+cXFxLX0C5u/PO3R4e4zazZ0TB//qwCw8J0wLq588F+oCGaW6HDO5gMYackaylyO82oV956y4fnCd4fH92S1bMLWeEBfIKIWOrVhzCpkJlUqlVNYpirRkyZJ169aZqj0IIdR6/+3L9vuDX3FFfCbCFpPd6wTu4eHhw4YNmzt37oQJE9Rq9fbt23ft2vXEE0/4+vpKOZYOM5kAYNKkSS1ttJkrVYNIoeYizt474nORtnhuWZznIpmvL4uRHvVD3lAXcixPpwR3AwfuAPBKZyZ8I19vcdZ9d8TZUbqfcqEu5Ebr1pxCJldeXv7JJ59kZmbWm7ZUXFxsqiYhhJBeOLDwv8Fs/238Q21J5wZf2VavfjmChISErl27Hj9+PDY2trKy8t1335UYtaMai84JX10WJ4cxs6OYTm7kRB7dMAQDdwsQ7UEeC2EaVu3s4ErWXtelIuTpAvpUuGHfehkHH8Qwb54WDidwNQ96Mp9ubMUpF3IvcEcWbPXq1cHBwQsWLKh3/9y5c03SHoQQ0qNwN/JJb3bSASF5PCdrvLCW1Wrk6QYGBuqwQh6qkVJMl/Zjcytg9B7B3R66ehKsPWwpNgxpZEqmbqky5TxcK6Hd2hh8MGBqR+a/KeLKK+LdKlh7XRQoLI5lWzNrJ8QF/i7UX/uQKZw+fXrVqlUN79ehKCRCCJmhmZ2YP+/Qt5KFpf3MriSJQdnY7xSj+KcYlsWRUBfyVldma6bYxiyLySDp2jmTwkpaKYBjSzqHc3dpZw+i39osjWIJfNqHffIA/1gos2oA26/VRbJCXFq15hQyB5RSM6yvhRBCevTtQ2yPrfxQf3FckA3lNWDgrmcqNRRW0mA5AQCOgcdCbOhkslYsgQA5uVlKI1qyEGm9vHODGt6OFE7V22UdTJWxAgEBAfn5+Q3X5WhY8BchhCyUmz38Opid8Cffy5v4O9lKzyYprFy7dq2h22E1LitohDthbOX8sRUdJGTLXFbQx/YLyQX3Qt7kQoPPTDUQb0dQi1BSbep2oFaYOnXqnj17Gt7/6quvGr8xCCFkIL29yXOR7IzDgu2MNkkacd+/f/+0adMM3RTrcLmYRrVkXBZZhI5uZN8dcXRAc7kH314Wy3iauE/o7U0W9mJO59P3e1rq9RbNoHt3TzyTLdXx48dTUlLS0tKCg4Nr369ZagMhhKzGO92ZwTvFL1PEV6It9Tu3RTBVRs/+KaY2WJzI6v27OztwOx8ob7JfqBZhfYZ4ejzXVka+SRUH7+CrRejkZqlnQsPAnQLwItjZRK9oDXbs2DF79uyG93Mc9vkIIavCEPhxANvndz7enxihIITJYSeuZ5cV9LlI6z9vbI2vDPaNZgduF5w4mNmhkQ123hKjPEiwCwGAuV2YpyOYlCJquedBSIPUoO+viKcK6Pf9cb6jZZg8efKgQYMa3n/y5EmjtwUhhAwrxIV81od98oBwZoL1V4fkpJT1LSzE4nBSpRRDNI64W6MAZ3JoDDtguwAiTG8Qu6+9Tqd1fDAc7WoHcW0t+DQIcSHXS+pkDO69Q7NUtpNDaPEeeeSRRu+fN2+ekVuCEEJGMK0js/s2/fcZ4b99rXyAicvOzl62bFnzG73yyivGaY2lK1XD3UoaJLfgiA01I1BOdo9kB+/gPe1hYtiD++9WwcFscfVA6ynXH+pC9tx+UBFSpHAoR1RjiUiEEELm6us4tvtWflQAHd7OmsMwjmVZLy+v5jfCesASpWJJGWsX4U42D4YJ+0kfP9re+d47vT5dHB3AWNMyWyEucKNWqsylYurpQO5W0dwK8JWZrlnIuCorK1esWFFeXk4pTUpKalhcshkZGRkff/zxuHHjEhISDNdChBCq4eEA6waxTx4Uzidyng6mbo3BMI6OjqZug/XAmam2oJcXvBABM488KD615rpYO0/GCgS7kJsqWvMED2TTwf6kk1v9/BlkzkRR/P3335955pmkpCTNPZ9//rkgCNKPsHz58rFjx86bN+/FF19cunRpix59y5YtL7zwQot2QQihVurvSyaFkqePtqCjszjMl19+qXUjV1dXIzTFCmDgbiPejKbVAixNEQHgWgm9XQZDrevCnDMHLnaQW37v5sFsGu9POrmRqxi4WwhRFBcuXJiZmfnRRx9VVVVp7uQ47uDBgxKPUFFRUVZWFhISAgCurq7R0dEpKSkS901OTu7WrZuDg/UOeSGEzNWHvdh0Jf0pzWqTOxlnZ2etG0kJ7hEAXFZgEXebwBBYPZD98LxwqYiuuS5OCSOs1b3toffXTxUoHMsTB/oy4W7kGgbuFmLXrl0uLi5z5sypnQk5ZsyYv/76S+IRcnJywsIezOSIjIzMysqSsqMgCAcOHBg6dGiLGowQQnrhwMIv8ewbp4SbVroEuKSqOQxjVWkAhnO5GKI8TN0IZBQhLuSjWHbGEaGwEnaMsMJJIKEuJKOUxrUlZwtpgDPxkUG4G/x4zdTNQtLs3LnzP//5T707g4KC0tLSJB5BoVB4eDzozjw9PSWOuO/evXvkyJGEtOC3rCAI33//vZ3dvWkiXbp06du3r/TdJT5Ei9KErAw+fZt9+oIgiKJoa08/whVeiybTD/O/9xfsBYFSi4ngGYbR2nlae7lLIypVw90qGowlZWzGrHBmWxYFoFZZALRmfuqBbBrv///s3XlAFOX/B/BnjgV2lxs1AQVRFEE0zdCv5pH2NVERjUoz7zTtME2t1G92aCZlZqmVV+YRVqZieVu/NC9MKTNB8YAMUCFFbthzZn5/rK7LgrAsCzOzvF9/MbMzs5+ZHWY+88xzUISQdl7U5SKnffnoZAoLCyu3JWVZtlb5tB00Gs2VK1eGDBlSq7V4nv/999/Ng0MZjcYuXbo4NjC9Xm+uMtQIYfcb7e4bDAaeb4zX7ZdCyZ4s9tML1GsddTIqfXZxcalxmLwqPtZoNJcvX75161abNm2Cg4NltMPiSisUwrzQpUzjsqkvk1Mum0f5WgnxoE78KxBCDt/gX46gCSGhnlRmqWDA+KlyoFAoBEGwStM5jlMqbe0VyMvLy7J4Pj8/39vbu8a1jh8/fv369Y8++ogQUlRUVFJS8sgjj1iW3N8v2tWrV9semx04jlOpVPW3fYnD7jfa3Tcl7o2zwck3/YWuO8mwtkyXJk71Vtw6cf/999+XL18eGRkZGBh48uTJ27dvz5o1KygoSJTg5AUtUxshbxfi7eKcP3qIB5WQzut58ttNYetjNCHElSEBKuqfEqGtl3PusjMJCgpKS0uLiIiwnHnmzJm2bdvauAV/f/+MjAzzZOWtVWnAgAEDBgwwr5KRkVFj1g4AUB9aqKn3OnNjfqX/eIK4OVHqXqHo7Nq1a5999ll8fPycOXPGjBnz1ltvTZkyZcGCBWVlZWLFJyMXCtAyFZxHiAf5u4ScuimEeVPeLndmhnmTi2ifWmffZfCJ/9Tvy+vRo0evWbNGo9GY5xQXF2/atGnMmDE2bkGlUimVyszMTEJIaWlpSkpKZGSk5QLJyclxcXFbt251YNgAAA40OoTv4EPe/sOpqvhXKHHfuHHj1KlTW7RoYZ4TERExePDg77//fuLEiQ0em8ycLxReCkcdAnASLdXUvxrhwDW+n/+9x9F2XtTlIhGDchLfZAg/X+cT/0sNallfj/phYWEDBgyYPXv28OHDDQbDnj179u/fP2rUqObNm9u+kalTp65bt06n0/E8P23atFrVjz948OCxY8dsrCoDAFBPPutBP/QjHxMk9GnuJEWrFRL3K1euzJkzx2qJnj17Llu2rAFDkqvzBaQDbk/gLFiaBKqor68I63rfe8UY5kX9eRsl7nWVViis6cVMOGrc8Rjbq97uJTExMZ06dUpKSoqKitJqtW+99VatsnZCiFKpnD59+v0+jYqKSkxMvN+nAwcOHDhwYK2+DgDA4Zq4kbW9mAlHuLNxrHMMcF4hcddqteYOucw8PDzy8/MbMCRZKjWQ21ohGF3KgBNp5UGO5wqWmWU7L2rr342xgwIH0nLkernwbBu6hZp68hfj/oHsQ03q67oRFBSEFkoA0MgNbkkNbEHNOMlt6OMMVd0rVO3w9fW9fv261RKXLl0KDg42T6JGY5XOFwjh3uhSBpxKaw+qWzNKbfF0H+ZFLhWixL1OLhcJbTwolib9A6hVjzBDf+LSi3FIAQDq0cfdmaR/hW1XnaHgqULiPmLEiC+//NJyDsdxGzdujIuLM8/ZvXt3A4UmKxcKhQh0KQPOpccD1IiQCpeIQDVVaiTFBrEicgZphUL43Vbsca3omR3pN047w70EAECyVCz5ph8z4ySXq6l5YYmrUFXmkUceuXr16vz580eNGhUYGPj3339v3rz58ccfb9eunV6vFytEWUjJR1+Q4Gyea2fd2JoipK0ndalQiGqKs91OaYVCuEV/6C+0p+PPGnLKGX/HdTOdnZ393XffZWRkmDoEU6vVrVu3fuaZZ1BtBgAara5NqMlh9IQjxv3RrKxvYBUS99jY2JYtWxJCPv30U/PMXbt27dq1q6HjkhU9T76/KhyIRpcy4PzCvKnLRUjc7ZdWSJ4Ivnf03BXk6RB6w2X+f50dcwH54Ycfdu/ePWnSpJdfftk06IxGozl79uzChQtjYmKGDx/ukG8BAJCdt7owPXcZ117kp7aXccJWIXFv0qTJunXrql+hmm6AtVrt2rVry8vLBUGYNGlS5QG3q/Hrr7+ePHmSpunw8PDY2FjbV5SCrX/zEd7EKce9B7DSzpNcRlfudXChQHizYo7+YgT9xM/c3AfpujeSOXfu3LFjx7744gvLgRKVSmWPHj26dOny6quvtm7dulOnTnX9GgAAGVLQ5Nv+zCO7jf38qXayHUmwQuL+3HPP1bhCNcusWbMmNjY2JCSkuLh4yZIlixYtsjGITZs2KZXKuXPn1qqfYOlYeZ5f8JAzNFUGqFE7L2p3FhJ3Oxl58neJ0NazwoXuQV/Kx5X83w3h8cC6XgC3bds2ffr0Koc3d3Nzmzlz5pYtW5C4A0CjFepJvd2FefYwdzKWVciz2L1C1P37969yoaNHj9a4jEajKSsrCwkJIYR4enpGRkampqbaEkFqairLsiNGjJBp1n4kRyjSk4EtZBk8QG2ZqsqIHYVc/V0iBKgoJWs9//kwet1FBzRRzczMtOwEzEq7du2uXbtW928BAJCvlyLo5kqy+KxcewWwvoEUFxdnZ2cLQoUb8xdffNGnT5/qN5STkxMaGmqeDA8Pz8rKshoiu0pHjx6V9bCsn6byszo64B03gCyEeVGXiwSBEJzydrDsUsbSmFD6f787oIkqz1d3K6IoiuOcauhvAIDaogj5qg/bZadxYAvqP83kdyurkLgfPnx4zZo1Xbp0sRqGqVu3bjVuqLCw0HJcaz8/PxtL3AkhWVlZe/bs0ev1fn5+kyZNYpgaqp2UlJQcOXKkoKDANOnl5TVgwABCCM/zPM83ZMn91RLh+L/85r5M9fdLKTMdNLGjkBP+LrEDEYeaIR4Kkl3CtVDX4h+tMR8xS+cLhPZeQuVDoWJIXDC18TI3p9O9o2rLQaMoSqbvKgEAxNJMSVb2pMcd4c4MZ93lNpxqhcT9yy+/XLFiRa0aldZdfn7+kSNHZsyYwbJsUlLSzp07n3rqqepXKSgoOHLkSFpammnSx8end+/ehBCtVisIQo15vwMtO8dMaC0wRoPW2GDf6WA6na7ycLlQDYPBwPO81VupRqWtJ5uaZ2jC1CIRx2lmkprHPNpc0GqrOHTjQqgJJ9hX2hrMr++0Wi3LVqpVUxHLsi4uLuZJQRBMXUDeDx6fAAAIIXGt6N1ZwqxT3NpeMmujWOGuoFKpqmzVxHFcjdmwl5dXenq6eTI/P9/b27ua5c3KyspGjx5tuj/17Nnzgw8+qHGVoKCg119/3VTKbsXV1bXBEvdiA9n6j+FsHKtSybjEi+M4U59xYCNT4l7lf0ojEe7DZWpZlaoW7XpwmplcKTXOaMZUecXooyLersZTRcrHAu58yvN8bQ9afn7+7Nmzq1kgLy+vVhsEAHBWn/Vkuuw0brvKPx0ip2aqFRL3Z599dunSpf/73/+USqXl/OnTp3/++efVb8jf3z8jI8M8mZaWFhERYUsEbdq00Wg0arXaNCmj175fXuQHtqBrVWEAwAmEeVGX0D619gRCLhUJ7auq427yUgQ99TgXH0U/FWJnq5ng4ODVq1dXs8BLL71k14YBAJyNmiVbHmWG/Wzs9QDtwCHw6luFxL1nz56JiYnPPfecr6+v5fyrV6/WuCGVSqVUKk19GpSWlqakpIwYMcJygeTk5Pj4+JEjR44cOdJy/qBBgzZv3jxr1ixCyIkTJ8LCwuzfmwZk4Mny83zif2X2hgWg7sK8qYPXUOOi1q6VCZ4ulJfLfReYHEYHuVPzf+fiz/LvPcz09bnvkvfz2WefVb/AihUrar1RAAAnFdWUej6MHn/EeHCQbIZTrZC4x8fHd+/efejQoZaVJm03derUdevW6XQ6nuenTZtmY9l5YGBg3759ly1bxnGcn5/f+PHj7fjqhvdNBh/mRbo2kcsPDeAwDzehfs9z2o5ljucK+TohNtjxb07TCkl4TfUHHw+kBgSyP2byc09zvZqyq2rozcuaLXXibd+afWPq/fHHH3v37lUoFHq9PiYmpmvXrrZ/IwBAA3urC9N7j3FFKj8jUh4VZipcxC9duvTWW2/ZXUdcqVROnz79fp9GRUUlJiZW+VHXrl3ldXHnBfLhX/zKnihuh8boASXxdKGuFAnyHXnufq4UCcN+NnZtQtVH4n6hoOq+IK1QhAwPpmOD6JxCncNjqBU7xtTjeT4lJWXevHkKhYLjuI8++qh169aWHY4BAEgKS5OER5keu4z9AqhOvjK4qVW4OXXq1CkpKanyQj/88ENDxSMPu7J4dwUxtyEDaGz+04w6dcvZqrkX6EjMT9ysjkzyrXrpMyitUIiwIXE3oSnipRDzCNs3ph5N0xMmTDD1IMQwzMMPP2xLTUsAABG18aSWdmdGHeLK5dBDYIUS906dOq1atSo/P9/d3d1y/pYtW4YPH96wgUnakr/4uQ/K45UKQH3o3pQ6dVMYG1rzknJh4MnTvxhjg6g3O9NfXuLTi4S2jn6fkFYoPNtGNtcNu8fUM+N5Pjk5ecaMGfUQHQCAI41rS/90XXj9NPe55CtTVEjc161b9/TTT5eWlpaWllrOl+NgexnFwpFcweNuz9GPPEAF2NVpo44j267yQ4Noc5OywzlCgZ4Mr4c36QBy0b0ZlZDuVO1TX0niVCz1YTeGENKtKZWcVy+JezVdykhNXcbU4zhu1apVGRkZU6ZMQTegACALqx9hHvrB+GMmP0zaCV6FxD06Onr06NGVF6p+RA9pulpCkv4VivWEEFJmFN77k5wZzrIVf4vvMviPUvjfh9+3KXHyLWHiUc6NIW/9wX/dl+nVnCKEfPgX93on2s7e2gCcQhc/6mKhoDESZS3aOkrXhsv8yZvCiaGs6f/64SZU8i3h2TaO/IpbWiII5AFlzUs6AYZhJk2alJKScuTIkaCgIHNvv/ej1+ujo6PNzat69uw5Z84cx4ZkVRrV2GD3xQ5BNKaBR/R6vdiBiKO8vNxoNNK0rYn4qih69DFFuFLnL9K12s3NrcbBCivcdV944YUqF5oyZYrDgmoo/w2k/ht4731H9AHj8vP87I73frw8LZn5G6egqf+7LgwItE7DdRxZcIbbcJlf3oMZ0Zrely2MPMRNbEfFBtMXCsiYUEk/jQHUNzeGdPCh/sgTTE+zcvfZBf7THox54OuoptT83x38PiGtUAj3kdOxsntMPROlUtmtWzdfX98dO3aMGzeu+oVZln3jjTfMg5qFhoZ6eHjYEXP16mObMoLdFzsEcTTyEQNpmlYqlbYn7o95kGkF/AvJ9P8NZiVbPmtTcdm5c+c6depU36HUq896Mj12GUe0plreHS9p9iluVBu6oy+1PJUbEFjhOJQYyCO7je28qL/iFM2UhBAyuCX15xPsc0eNH6cYF0cxLsjbodHr3ow6dcsZEve0QuGmhvS12JGuTai/8gUjT1jH/aenFdrUpYx02D2mntVGCgsLa1yMpun+/ftbDfwHANDw/teZPpLLv3+Wf6uLRFM9m8JatmxZfcdR30I9qVc6MDNO3ilF++m6cCxXeO9hZlQb+vc84XLFYSDfP8t18aO2P8Y0s7iPNFOS3QPZb/szU9tL9LcEaEj/aUaduukMHcskpPPPtqEsC1c8FCRITZ0vdOTeyS5xN4+pRwgxjaln1TI1OTk5Li5u69atljMvXLhw8eJF0988zyckJPTr16/BYgYAqCOaIgmPsqvT+MM5Er3BWZe4//bbb4cPHy4uLracmZeX14Ah1Zc5nehOica92cKj/tQLx7lVjzBqlhBCprSnV5znP7vbjjijWFh/iT8XV0UdI1P/yg0ZM4BkdW9KzT0t+/apAiHfZAi7Blh3IxDVlEq+JTzooD59y4xk5z/Cjv/K7Ophx5h6wcHB27dvT0xMZFnWaDT279+/Y8eODRAqAICjPKAk6/sw43/l/oxj/aRXyahC4v7rr7/u3Llz8uTJ3t7ea9asGTVqlF6v3759+6pVq8SKz4FcGfJ5T2bKcS66BdXrAWpgizs3oRfDmcgdhkUPM94uhBAy+xT/WkfGHx0hAFSrtSel5YQb5YJ9/TVJxPFcwVNBOlZK0E2J++Qwx3zLwjNc3+bUw3IbaNmOMfXUarVcRr8GALif6BbUiNbUpKPczgGM1C7cFUqAvv/++3nz5nXs2LFly5Y5OTnt27fv0qVLQEBAUVGRWPE51n8Dqf80o7Zf5Zf9514Bm7+KDGlJf3mJJ4T8fF1ILRBelcmwtwAiokzV3GVeW2ZLOl9lW3NT4u6QrzhfIGy8wn/UXep9AwMAgNniKCZXI3yaKrkXyxXuWMXFxc2bNzf9rdPpTJ1zDRs2bMeOHSKEVj8+68n832C2iVuFmTMi6c8v8FqOzPyN+7g77Yo7LIANujelf5Nz4q7nyY5/+FFtqihPedCXulwkaOo8ip5AyMtJ3DtdmEbSESQAgHNwocm2x5glf3FJ/0rrNlchca+yx5yAgIDs7OyGiqfe+bqSTpVei3dtQrVUk+E/GwNUROId7wNIh6ljGbGjsN++bL6jD9VCXUXi7sqQcG/qbH7Ve8cL5MR9LuUn/hUKLXpM/voKX2YgL4TjqgIAIDMt1dSXfdhRh7nbOrFDsVDhdhIQEPD333+b/lapVKZxl2ia1mg0IoTWsGZ0oH+5IXzyHxS2A9iqW1PqTJ5glNyLRFslpAtj2t43pa6mtsyai3zfPcbMUutPr5cJ0QeMbbYaZpzk/i4RCnRkbjK3qhcj2f6AAQCgGkNaUk+HUON/NUqnjKrCTatr167Hjx83/d2jR49jx44RQrKysnx9fUUIrWENb0UfjWE7yGqEFABxebmQlmoqtUA6F7RaKNSTX67zT7aqLnH/varE/V8uhQzFAAAgAElEQVQNefcMN7gl/fkF60eWVWn8xHZ0ypOsiiXdfzR232V8ohUtuzapAABgFh/F5OvI0nNSKaOq0KtMbGxsQUGB6e+4uLj58+cXFBScPn16xIgRYsTWoBiK9GiG+ytA7Zhqy3T2k9//zvar/IBA2svlvgtENaWWVHWlfv0UN7EdPaU93f1H47sPMaq7F1EtR9Zd4o/FsAEqKj6Kmd+F2X6Vf+L+DwYAACB9CppsfYzp/qOxW1Oqr7/4N7sKNxVXV1dz41QvL6/333/fx8dnwoQJvXv3FiM2AJA6+Q7DtOMqP7J1dZfgcG/qeplQpK8w89cc4Wiu8FYXprUH1fMBOiH9Xmb/bQbftQnVzuvONtUsGd+W9qxiQAgAAJCTlmoq4VH22cPc9TLx73fVlQZ5enpGR0c/+OCDDRYNAMhLj2bUcYm1uLeFxkiS/hUGtKjuAshQpLMf9Ufevb3T8+SlE9zyHrRp7LbpHeiV53nzxyvO89M7oJEMAIAT6h9AvRxBP/0Lpxe7ygxe4wKA/SJ9Ka2RXCqSWe5+OEd4qAlVY3G4VfvUj1P4Vh73Op56LICiKXLohkAIOZIjlBnJ44Hiv0UFAID6MK8z7a+i5pzmxA2DrXkRAID7oAgZGkztzhLCOsopZz1wjY+utrjd5D/NqBePc9uu8p4K4saS5FtC8rAK18yXIuiV5/nHApiVF/gZHWj0HgMA4KwoQtb3YaJ+MHZryo9qI1rBN0sIycnJycnJIYSEhoZ6enoSQjiO+/HHH8+fP9+iRYu4uDgvLy+x4gMAiRsaRC8+y73WUU6v7w5cE7Y/VnPAT4XQnXypUgMpNhCNkTR1I608KuTmY0Pp+b8bjuTQv97gN/RBfXYAAGfm7UJ2Pc48utfYzovqKlKPYTQhJDU19e233964cWN+fr5p7tKlSzMzMwcPHswwzIwZMwoLC0UJDgCkr58/lZIv5GnFjsNm6cVCuZF0rDQQW2UUIWFeVNcmVD9/anBLKqqp9SoqlkxsR8f9n3FsW9oDeTsAgLML96ZWP8I89Qt3S6S7Hk0IoShq0KBBK1asaNWqFSHk2rVrBQUFM2fO7Nq167hx4wYPHvz999+LEx0ASJ4rQx4LpPdli91gx2b7s4XoFpSjikpeCqdLDWRahJxeOAAAgN2eaEWPak3F/Z/RIMZ9jyaE/Pjjj2PHjjXP+vPPP/v06WOeHDp06O+//y5CaAAgE7FB1K4sW9unfnSOvyJqY9YD1/joFg57xdnKg8oZrWjjiertAACNxaKHGQ8FeUOMhqo0IaSoqMhUtd0kIyMjNDTUPKlUKvV6fRWrAgAQQggZEkT/cp3X2XAFu1wkzP+dm3SM40VK3bUcOZ4rDAh0ZAG5r6sDNwYAAFJHU+Sbfuz+bGH9pYYudWcJITRNG41Glr3TW0JmZmbr1q3NSwiCoFQqGzgsAJARP1fSyZc6nCPUWJK9+Cw/vwvz03V+7UX+hXARqpf8miN09qOqGTAVzLRa7dq1a8vLywVBmDRpUrNmzWxZKz09fcOGDWq1mqbpsWPHBgYG1necAAANz9uF7Itmeu02tvak+jXgiKosIeTBBx88ePDgkCFDCCHZ2dkqlcqcxBNC/vzzT8sC+GrYd5X/448/9u7dq1Ao9Hp9TExM165d7doRABDT0GB6VyYf3eLeCERHcoQ+/hWqkl8tEfZm8+kjFE+GUI/uMQ4NogLVDV3D5MA1Prol6qPbZM2aNbGxsSEhIcXFxUuWLFm0aFGNqxQXF69fv37BggUuLi5lZWVLly598803LW8oAABOo7UH9V1/duQvxmND2dCGqjBJE0LGjRu3ffv2NWvW7NixY+HChWPGjDF/XFBQsGXLlueee86Wba1Zs2bo0KFz5859+eWXV6xYYcsqPM+npKTMmzdv3rx58+fP//nnnwsKCuzbEwAQUWwQtSdLMNV/EQiZcZJ7bJ9x6bkK7xA//It/IZz2ciER3tTLEcxLSfc+LTeShX/yif844J2jgSejD3MJ6XyVtXEOZAuDHFfB3YlpNJqysrKQkBBCiKenZ2RkZGpqao1r3bx585VXXnFxcSGEqNXqzp07Z2Rk1HusAAAi6dOcWvQwE/sTV9RQlcppQoifn9/y5cubN29eXl4+f/788PBw02eJiYnPPvtsZmbmoUOHatyQfVd5mqYnTJigUCgIIQzDPPzww1evXq3TDgGAGNp5USqW/JkncAJ57ih35rZwNo79NJX/+fqd9Pl6mbD9Kv9q5J0i+Xmd6YxiYdtVnhCy/Sofsd2Yki+8eIJL+reuld9Xp/H/lAprLvKRO4zf/10hff+7RCg2CA/6IXGvWU5OjuW71vDw8KysrBrXCg0NDQgIME9mZ2e7u7vXS3wAANIwKYx+LIAaechobJDq7nfeYHp6eg4bNszqs2HDhg0cOJAQ4ubmVuOGqrzKR0ZG2h4Kz/PJyckzZsywfRUAkI7YYGr7Vf79s6TcKByMZlUs+bY/M+IX48lYtgkhH6XwE9vRfnfbcbrQZF1v5qn/49ak8Xla8vWjTO/m1IFr9FO/GE8MZUM87MytC/Xk/bPc/w1mI32on64Lb//BLTrLDw2iuvhRDzWh9mcL0S0wvKlNCgsLfXx8zJN+fn62lMVYSklJUSgUttRxFwTh6tWr5huNr6+vt7d3rb4LAEBEn/Zgnvw/7oUT3Je9mZqXrpvqqh4yDKNWq23cUF2u8hzHrVq1KiMjY8qUKSqVqsbljUZjTk7O33//bZpUKpX+/v42fhcA1JPYILrPHuNTIfSPj7MuNCGE9GlOze/CPPEzl9CT+voKf/6pCmMU9WhGTe9AuyvIC+E0QxFCSHQL6n+dmZiDXFIsa1/70cVnudhgOtKHIoQ8Hkg9Hsj+ckM4nit8nS7M+o2/ViZse6zer6pACLly5cr+/ftnz55ty8J6vX7w4MHU3QYRgwYNWrJkiWPjKSsroxzWd7/8YPcb7e4bDAae5w0Gg9iBiKO8vJzjOJpuiHZNa6PI4EOKBcmG2eFGuzfi5uZWY6MgSbQZYhhm0qRJKSkpR44cCQoKqvFp4erVq3PmzDEXzwQGBu7fv58QotFo9Ho9w+DGXAulpaVihyAzpusg+kitrKOKfNGNeaYVpysjurszx7ckv+Uo+v6keDrYqDZqS0oqrPJSa0IIKbc4B8e3JCk32biDxu19DGwtL7ZZZdRXl1x+i9aXlNyrH9PNg3TzIKQtIYTk6ykfF8EqBskqKysThBoqDikUClveiNrBy8srPT3dPJmfn297Kfjly5e///77N954w8arsaura1paWr12XyYIQmOutIPdb7S7b7phubo20j5rKYpSKpUNk7i7E7I7mvTYZWzt4zI2tB6/0WGJe12u8oQQpVLZrVs3X1/fHTt2jBs3rvqF27Zt+/rrrw8YMMBqPsMwrq6uSNxry8PDQ+wQ5KSRXwer90KnKmZ++Sh57rB2/sNuHrb1IfNFXzL0J+OHlxUfRNXuf/n937kZkVRo0/uW1cvrRKcoSsRsw9/f37JdaVpaWkREhC0rXrp06dtvv503b56piSoAQCPhryJ7BjKP7TO2VFOP1lsHkQ57Jqh8lQ8KCrJjI4WFhY4KCQCkwI0ha7obWtjc8yNDka8fZTde5s/l16Kh6ulbwrFcYVZHdPXoGCqVSqlUZmZmEkJKS0tTUlKs2iwlJyfHxcVt3brVcubFixe3bds2d+5c05PtzZs3s7OzGzJsAAARRfpQ3/dnRx4ynsmrr1EGHVbibr7KBwcHm67yI0aMsFwgOTk5Pj5+5MiRI0eONM+8cOECTdPt27cnhPA8n5CQ0K9fP0eFBAAy5edK3u7CTD/JHR7C2pLvC4TMPsUt7EqrJVH7z0lMnTp13bp1Op2O5/lp06bZUks4ISFBpVKtXLnSNJmXlzdo0KCWLVvWc6QAAFLR159a14uJ+cn46xC2nZfjy90deZez4yofHBy8ffv2xMRElmWNRmP//v07duzowJAAQKamhtNfXea3pPNjbKgs+HEKz/FkfFsUtzuSUqmcPn36/T6NiopKTEy0mmnLIE0AAM4tNpjO1ZDBB7njQ9nmjm6848jE3Y6rvFqtHj9+vANjAADnwFBkdS8m9idjTBDtXW1l6d9uCkvPcb/FsujoEQAApGBKezqnnAw5aDw02M5O0u4HBVQAIFEPN6Figuh3z3DmOTfKhbO3K1QcvKUlIw9xG/qwrezt+h0AAMDh3nmI7u9PRR8wljq0N05UCAUA6YqPYjpsN/RtTqUVkh8z+YxiQcVSUU2pD7vRoZ4UL5CxvxrHhFKDWiJrBwAAaVnSnXnxODfsZ+Pegaybg7o8RIk7AEiXnyv5IIp54zR/UyvERzG5oxVXRrDdmlI9dhlfO8W9+Tun5cjCrugBFgAAJIci5ItHmOZKathPRh1X8/K2cKrE/dixY+h6rFYEQbDqzQ1qdPHixTNnzogdhcwkJibqdLqal6vKhHb0lRHsp/9h+gdQLE1cGTLnQfr8k4pSA9mSLnzbj2WcsbT99u3bBw8eFDsK57F3797i4mKxoxDNd999J3YIoikqKjIN0dg4NfIb1uHDh3NycsSNgabIpr6Mu4LaksE7ZoMO2YpEfPXVV8ePHxc7CjkpLS2dOXOm2FHIzN69e7dv3y52FDKzcOFCxz5UN1OS1b2YrFGsv8qBW5WQP//88/PPPxc7CuexbNmyCxcuiB2FOARBmDp1qthRiCY1NfWTTz4ROwrRNPIb1rp1606dOiV2FISlyY7/Ms+1c0zK7VSJOwAAAACAs0LiDgAAAAAgA0jcAQAAAABkgBIEoealJKZdu3YURXl4eFjNv3r1qre3t4+PjyhRyRHP8+fOnevcubPYgcjJv//+azAYWrRoIXYgcpKamtq2bVtXV1exA5GNkpKS3Nzctm3bVr9Y+/btExISGiak+qNQKDp16mTLYNt2u3jxYsuWLdVqdf19hZSdOXPmoYceEjsKcZSVlV27di0sLEzsQMTRyG9YGRkZfn5+3t7eYgdiq2eeeea1116rfhlZ9uP+7bffchzHMNZ9wOXn57u7u7u4OHSIKmeXk5Pj7+8vdhRyUl5ebjQaPT09xQ5ETnJzcx944IF6zcycDMdxt2/fbtasWfWLOcd5+NNPP9X3jvz7779Nmzal6Ub6krkxX+d5ns/Ly6vxX8lZNfIbVl5enpeXl0KhEDsQWwUEBNS4jCxL3AEAAAAAGptGWvwAAAAAACAvSNwBAAAAAGQAiTsAAAAAgAwgcQcAAAAAkAEk7gAAAAAAMoDEHQAAAABABmTZj7sVrVa7du3a8vJyQRAmTZrUaLtrrVF6evqGDRvUajVN02PHjg0MDDR/9Pbbb6tUKtPfTZo0mTx5skgxSk41RwYnXmX79+8/cuSIebSLvLy8mJiYRx991DSJ08yS0WhMS0vr2LGj1fxqziucclWy77D88ccfe/fuVSgUer0+Jiama9eu9R1nPanLWfHrr7+ePHmSpunw8PDY2Nj6C7L+2Lf7er1+/fr1RUVFNE3Hxsa2b9++vuOsP/e7klSjmmRAXuzYd2e4DQny9+mnn/7999+CIBQVFb355ptihyNRRUVFc+fO1el0giCUlpa+++67BoPB/Gl8fLx4oUlaNUcGJ15l//zzT2FhoXnyu+++y8jIME/iNDMpLS1dunTpBx98MGPGjMqfVnNe4ZSrkh2HheO4DRs26PV6QRCMRmN8fHx+fn79Rllv7D4rNm7cuHXrVp7n6y20hmDf7m/atOns2bOCIHAct2DBgoKCgnoMsd5UfyW5n+qTAbmwb98Fp7gNyb6qjEajKSsrCwkJIYR4enpGRkampqaKHZQU3bx585VXXjENK6tWqzt37pyRkSF2UDKGE69KwcHBXl5e5smMjIzWrVuLGI80qdXql19+ec6cOZULuqo5r3DKVcm+w0LT9IQJE0zjKTIM8/DDD1+9erXeY60Hdp8VqampLMuOGDFC1uMZ2737N27cePDBBwkhNE2PHz/+wIED9Rto/ajmSlIN50gG7Nt35yD7xD0nJyc0NNQ8GR4enpWVJWI8khUaGmo5lG52dra7u7t5kuO4Q4cOffbZZ5s3b75165YYAUrU/Y4MTrwa5efn+/r6Ws7BaWbm5uZW5fxqziucclWq+2HheT45OVmmlSXs3v2jR4/GxcXVW1wNxCH/FJ6enleuXHFoXA3nfleSalSfDMiIHftOnOI2JPvEvbCw0MfHxzzp5+dXUFAgYjyykJKSolAoLJ9TO3fu7ObmNnHixH79+q1cuRLH0Ox+RwYnXo1OnjzZs2dPyzk4zWpUzXmFU65KdTksHMd99tlns2fPHj58uLnaq7zUZfezsrI+/vjj+Pj4tWvXchxXPwHWL7t3v2nTpmlpaYQQnU63YcMG07uXRqhyMuD0nOA25AyNU6FWrly5sn///tmzZ1vOHDJkiOkPtVo9ceLEvXv3jhkzRozoJAdHxm6pqanR0dGWc3AwQVIYhpk0aVJKSsqRI0eCgoLUarXYETWc/Pz8I0eOzJgxg2XZpKSknTt3PvXUU2IH1XDGjBmzbt26PXv2sCw7dOjQn376SeyIRFBlMuD0nOA2JPsSdy8vL8sHpvz8fHOPFlDZ5cuXt27d+uqrrzIMc79lgoKCcnJyGjIqubA8MjjxqldeXu7q6orTrLaqOa9wylWpjodFqVR269btv//9744dO+ohunpn9+6XlZWNHj2aZVlCSM+ePdPT0+srxPpk9+67urpOmzbt9ddfnzlzZpMmTWT6vqUubEkGnJ5Mb0OyT9z9/f0t21WkpaUFBQWJGI+UXbp06Ztvvnn99ddNrVLu58aNG+hmrkqWRwYnXvVOnz7drVu3ahbAaValas4rnHJVcshh8ff3LywsdGhcDcTu3W/Tpo1GozFPyrSJqkN+/R07dvTt29ehcUmdjcmA05PpbUj2ibtKpVIqlZmZmYSQ0tLSlJSUyMhIsYOSoosXL27btm3u3Lmurq6EkJs3b2ZnZ5s+SkpK2rdvn+lvo9GYkJDw+OOPixaolFRzZHDiVe/MmTNWHWPjNLNFNecVTrkq1XhYkpOT4+Litm7dajnzwoULFy9eNP3N83xCQkK/fv0aLGYHsm/3CSGDBg3avHmz6e8TJ06EhYU1TMCOZffumwiCsHHjRh8fH2ft/KrK3a8mGXAmVe67c9yGnKGO+9SpU9etW6fT6XienzZtmkxLDupbQkKCSqVauXKlaTIvL2/QoEEtW7YkhPTo0WPv3r0LFixwc3MzGAxDhw719/cXNVipqP7I4MSrxoQJE0x3BTOcZmbl5eWrV6/mOC41NfWjjz4ihDz99NOtWrUyfVrNeYVTrkp2HJbg4ODt27cnJiayLGs0Gvv371+rMVwkxb6zIjAwsG/fvsuWLeM4zs/Pb/z48fUdZz2xb/e3bt2anZ3NcVzv3r2t2tDLSPVXkvupJhmQEfv23TluQ5QgCGLHAAAAAAAANZB9VRkAAAAAgMYAiTsAAAAAgAwgcQcAAAAAkAEk7gAAAAAAMoDEHQAAAABABpC4AwAAAADIABJ3AAAAAAAZQOIOAAAAACADSNwBAAAAAGSAFTsAADtxHMcwjNhRVK1Wsa1fvz49PT0+Pr5eQwIAcD5lZWUzZszQarUcxwUEBHz88cdiR1RrTrAL0JCQuIO07Nq16/vvvyeEcBxXVFTk6+tLCGFZdvHixQEBAZZLTp8+/fPPPxcnyppIOTYAgNrKz8//+uuv//zzT57nvby8hg8fzvN8ZGSkv7+/uIGp1eovv/ySEJKXlyfT4g8n2AVoSEjcQVpiY2NjY2PJ3UtYNWUPpaWlDRhX7dQqtokTJ9ZfJAAAdVRSUvLaa6898cQTL730kkKhKC4u3rx584EDBxYuXCh64g7Q2CBxBxAZTaOpCQBI16FDh7p37z506FDTpKen57Rp0y5fvixuVACNExJ3kBmj0Tht2rTS0tJbt26NGTPGPF+pVK5YsUKpVFotf/ny5S1btmRlZen1eh8fn8GDB0dHR1vlyqtXrz5+/HhRUVF8fHxkZOT+/ft37txZXFwcFRX18ssvu7m5mRbT6XS7d+/+448/bty4wXGcl5fXiBEj+vbta19spaWlM2bM0Ol0NdZrzMvL27x584ULF7Rara+vb+/evePi4izr0O/cuXPLli1Dhgx55JFHNm/efO3aNZqmo6Kixo8fr1KpanFwAQAqKS4ubtKkidXMWbNmmaoymtV4hVy9evWBAwemTJny119/paSktGvXbt68eSdPnvzmm2/Kysqef/75Rx99lBBy6NChr776Ki8vb9euXUlJSdu2bcvLy1MqlW3bth0/fnyLFi3s2wtb7gU1unjx4vvvv//vv/82bdo0MDBwyZIlhJDMzMy33367rKxMr9e3atVqxYoVNh4QG5nuLDdv3nzyySdHjx5tmrl48eILFy7k5+d/+eWXVvVIHbKnIF0CgCTdunVr1qxZ1Swwbty4GjeyZ8+e6dOnp6amchwnCEJubu5HH3307rvvmiatxMfHnz59+p133vniiy9KSko4jvv2228vXrxoXiAnJ2fjxo3p6ek8zwuCcOPGjenTp//222/2xWZW/Z6eP3/+ueeeO3TokEajEQTh9u3ba9asmT59ulartVzs8OHDs2bN2rx5c25uriAIRqPxq6++evvtt20PAwCgSv/888/kyZOzs7OrX8yWK2RCQsIzzzxz9OhRo9H49ddfT5s27b333issLMzNzR05cmRRUZF5ycmTJ3/11VfvvPOO6Xv1ev2JEyfGjx+fnJxc5bdXfyGt1b2gRgsXLjx9+rTVzBUrVhw9etRyju23DFt2Yd++fQkJCVYzX3/99evXr1vOceyeggThCQycVnZ29t69e+Pj4zt06GAqbHjggQdee+01b2/v3bt3V7nKihUrBg4c+OKLL7q7u9M0/cwzz4SFhZk/bd68+fjx49u0aUNRFCHE399/8uTJhw4dqr9d0Gq1n3zyyTvvvNOvXz9Twb+vr++UKVMeeeQRU2MmS2q1euzYsQ888AAhhGGYiRMnZmVlSbklAADIQnBw8KxZs7744ouZM2cuX758z549165dq7yYjVfIZ555pnfv3gzDDB069Pbt22+88YaXl9cDDzzQpUuX7OxsyyXT09PfffddUxG7QqHo2bPnokWLli9frtFoahW/HfeC6sXFxSUmJlrOKSsr++uvv3r27Gk5s+FvGQ7fU5AgJO7gtJKSkoYNG1a5rsjo0aP37t1b5Sovvvhijx49bP8Kb2/v4uJi+0Osyfnz5yMjI4OCgqzmP/XUU7/99pvVzJCQEKs5TZs2rdfwAKCRCA8PX7x48ZIlS6KjoymKWrly5YcffshxXPVrVXmFdHd3N/3h4uLi4+Pj4uJimlQoFIIgWC757LPPWq3bokWLyMjI2lavt+NeUL0OHTqUlJRkZmaa5xw8ePDxxx+vsRfg+r5lOHxPQYJQxx2cVnZ2dmJi4tdff135I1dX1ypX8fT0rGaDRUVFP/zww4kTJ8rKymiadnFxsapZ6HBZWVnBwcGV59M07ePjc/v2bT8/v3oNAADATKFQhIWFhYWFDRky5JNPPvnxxx/j4uLMnzr8ChkYGFjlzFu3btVqO3bcC2r0xBNP7Ny589VXXyWECIJw4MCBpUuXWi3T8LeM+thTkBok7uC0WrVq1b59+5iYGIdsrbi4eP78+YMHD162bJmpxIjjuIsXLyYkJDhk+1UKCgo6fvx45fmCIBQUFPj4+NTfVwMAEEI4jtu1a9cTTzxhNb9Pnz779u0zJ+71cYW8evVqly5dKs+0qpFSI8feC0z69u27adOm4uJiT0/P06dPh4eHW5X7iHLLqI89BalBVRmQMav3qlZ69eq1f//+kpISh3xXUlJSz549Bw0aZH7PyzCMXq+3LzYbRUREpKSkVK5OunPnzq5du6KXAACob1qtdu3atQUFBVbzz58/b9nBS22vkLbYvHmzVW2cCxcu5OXltWrVqlbbcey9wIRl2YEDB+7bt48Q8sMPPwwfPtxqAYcfEDc3t/Lycss5JSUlt2/ftpxTH3sKUoMbP8hVRETE1q1bTZd1U0nGZ599lpycbF6gefPmo0aNmjdvXnJysnmxq1evrlixYtmyZbX9On9//9OnT5vaTvE8f/369S+++GL79u32xWYjpVI5c+bMd95559ixYwaDgRBSVFS0fv36X3/99YUXXqjt1gAA7KBWqxctWvTnn3+ayiO0Wu327dt/+eUXy2L4Wl0hbdS/f/+ZM2eeOXOmtLQ0Nzd3x44dH3/88ezZs2tbZuHYe4FZTEzMgQMH/vnnH47jKjcxcvgB6dChw9GjR2/cuEEIyc/PP3jw4OLFi62Wqac9BUmhHFIuCOAou3fvNl3aOI4rKCgwdR7Msux7771nVTuwvLx8/fr1Z86cEQRBrVYHBQVFRUX17dvXqnlQTk5OQkLClStXtFotz/OhoaG9evXq16+febHbt2/PnTtXr9fn5+er1WpzRcBnn3124MCBlps6duzYd999V1BQoFQqg4KC4uLivL29X3zxxSZNmsyaNatTp062x8bz/IwZM0ytlCz3lBDy2GOPjRs3zvJ78/LyNm7cePHiRYPB4OXl1atXryeffNJyNz/44IM//vjDaDQGBwd/8sknph4MZs+effHiRR8fnzfeeMMyNgAA23Ec98MPP/Tv3/+rr75KT0/XaDQsy0ZFRY0cOdLb29tyyRqvkGvXrj1w4ADDMKNHjx4+fLhGo3nyySdDQkJWrFjBMMyyZctOnz790ksv9enThxDy/PPPf/7555cvX96xY0dWVpaPj09ERMTIkSPVarX5G2t1Ia3xXmCHZcuWHT169I033qiy9o4tt4xa7cKpU6fWr1+v1Wp9fHy6d+8+YsSI//3vfzdu3LC6yNfHnoJ0IHEHAAAAaYTscRAAACAASURBVDEl7uY+ZwDABFVlAAAAAABkAIk7AAAAAIAMoKoMAAAASMWhQ4e++uor8+TQoUNHjhwpYjwAkoLEHQAAAABABlBVBgAAAABABjByKoBNxo4dm5ubSwihafq9997r1q0bIeTatWvPP/+80WgkhCiVyq1btyqVSpEDBQCAauF6DvLFvPvuu2LHACADAwcOvH79utFo/Pjjjzt06GCa6enpGR0d/ffffzdp0uSTTz6xGvIaAAAkCNdzkC/UcQewFcdxn3zyyeXLlz/44ANfX19CiE6nW7hwoSAI77zzjnnkJgAAkDhcz0GmkLgD1IIgCKtWrTp9+vSSJUvUavX8+fN9fX3nzZvHsqh1BgAgJ7iegxwhcQeotc2bNx88eFCtVoeFhc2cOZOm0cgbAECWcD0HecEJClBrAwYM0Gg0WVlZMTExuMoDAMgXrucgLzhHAWonMzNz5syZMTExL7300pw5c1JSUsSOCAAA7IHrOcgOepUBqIXLly/PmTNnxIgRo0ePDgsLa9q0aXx8fGhoaGBgoNihAQBALeB6DnKExB3AVikpKfPnz58yZUpsbKxpTuvWrVu1arV48eLAwMDg4GBxwwMAABvheg4yhcQdoGY8z588eXLBggXPP//8I4884ubmZv7Ix8cnKCjoo48+8vHxCQkJQRVJAAApw/UcZA29ygDULCEhYdOmTaa/aZr+8MMPO3fuTAjJycmZNGmSwWAwfRQdHT179mzRogQAgJrgeg6yhsQdAAAAAEAG8BoIAAAAAEAGkLgDAAAAAMgAEncAAAAAABlA4g4AAAAAIANI3AEAAAAAZACJOwAAAACADLD2rZaenr5hwwa1Wk3T9NixYy3HB9ZqtWvXri0vLxcEYdKkSc2aNbNlg7Vaa8SIEa+99lq3bt2s5ut0OoVCgRETakWj0SiVSrGjkBOO43ieVygUYgciJzjN7KDVai2HhnFibdu2vXDhQt3/pxrPEbMR/u+s4IBYMRqNhBCWtTMVdErSP0ns+bWKi4vXr1+/YMECFxeXsrKypUuXvvnmm+Yffs2aNbGxsSEhIcXFxUuWLFm0aJEt26zVWoWFhUVFRZXncxyH86+2TP+3YDue53meFzsKmcFpZofGc9CuX79uNBrrmLgLgtB4jpiNcECs4IBYwb2sMumfJPYUTt+8efOVV15xcXEhhKjV6s6dO2dkZJg+0mg0ZWVlISEhhBBPT8/IyMjU1NQaN2jfWgAAAAAAjYc9iXtoaGhAQIB5Mjs7293d3fR3Tk5OaGio+aPw8PCsrKwaN2jfWgAAAAAAjUddq4OnpKQoFApzHffCwkIfHx/zp35+fgUFBTVuxL61AAAAAAAajzrVCL9y5cr+/ftnz57tqGhslJGR8eKLL3p6epom/f39t27dSggpLy83GAwMwzj26146xX7c1aiUauX5LVeZ5krhseZ21lQrKyujKKruYfySS+dqqNEhXN03JXEGg4HneYPBUH9f8cUl5rvMe6fx6xHGoS0kVBPxUjH1QzYzp0MtKgI66jRrVMrKympcRqFQuLq6NkAw0peWlvb0s2MFUuvTLLhli/27f6iPkAAAHM7+bPTy5cvff//9G2+8YZkoe3l5paenmyfz8/O9vb1r3FRt12rRosXIkSO7d+9umnR3dzfV1aFp2tXV1eGJ+67rhg97uLmrHLtVh/mrmCsj1DB3O1+eCIJgrulUFxkaPr1YmOru4IMvQabEvV6zpXMl3JOtqegWFCFkzUX+ioZ1t/f3rQ85+ULSbc7dvRbddzjqNGtscNBsl5WVVWBUhL6wolZr8Ub9L3P+W08hAQA4nJ2J+6VLl7799tt58+aZmqia+fv7mxuqEkLS0tIiIiJq3Fpt13J1dW3btm3Xrl1rH7g99Dwx8AKpfUFOw9DzRC+B0lgdTwwSCMM56DnSzot0bUIRQoLUlI4XxI6oAj0v4LcGCXJRe3q1fahWq/AGXT0FAwBQH+wpxrt48eK2bdvmzp1rKnS8efNmdna26SOVSqVUKjMzMwkhpaWlKSkpkZGRlusmJyfHxcWZaraY1biWuPScJDLj+5FIeBIJwznoeeJy91/ThSF6idU/wm8NAAAgCntK3BMSElQq1cqVK02TeXl5gwYNatmypWly6tSp69at0+l0PM9PmzbNxoqt9q3VADiBcIKk0xQdT/Sc+CWyBl7QSSy/lC8dJ7jcHUfMhSY6iZ1+ep7gtwYAAGh49iTu1Y+OpFQqp0+ffr9Po6KiEhMTa7uWiEyFnVJOUyRS/KmTRhjOQc8Tl7uNBVxo6ZW485ILCQAAoDGQUIs3aTIVdko5TdHzghQyZr00Cv6dg3VVGQn8vpbwkAYAACAKJO41MKXsUk5TJFL8KZE2ss5BzxHXuyXurhKs447fGgAAQAxI3Gug5wUi8cRdGsWfEgnDOVQocacld2D1HN6uAAAAiACJew30MqgqI4nwJBKGc9BzFeu4Sy1xR4k7AACAGJC41+BuVRnpli9KJIuSSBjOoWIdd0pqxdsGaTSrAAAAaGzoH3/8ccqUKZMmTTJNL1u2jONQcHrPnRJ3CacpEqmjIpEwnIPUq8rg7QoAAIAY6MzMzMWLF+t0d0aPY1n28OHD4sYkKTKpKiN+iayeF6R8lORFzwkuzJ2hDKSYuHPEwBPxzzkAAIBGhp4+fXqTJk3M00OGDDlx4oSIAUmNPHqVkUB4EgnDOUh95FSeCIQY8HMDAAA0LOs67sHBwenp6aKEIk2oKiOvMJyD9KvKEGm/hgIAAHBK1ok7y7IURYkSijRJP0eRSB0VidTYcQ5S71VG8q+hAAAAnJJ14s5xnFKpFCUUaZJ+jiKRom5UlXEUUy0UhbSryhBp/1MAAAA4JevE/cyZM23bthUlFGmSwQBM0siYJfL84ARMWbv5tZcUS9zvvIbCCxYAAIAGRWs0GvNEcXHxpk2bxowZI2JAUnOnxF1iRZ6WJNI3n0TCcAKW9WSINBN3yb+GAgAAcErs7Nmzhw8fbjAY9uzZs3///lGjRjVv3lzsqCTElJ0YpDoAk5EnvCCJFErPE04gnEAYNJGoG8uWqUSSAzBJ/zUUAACAU6Lnzp2bn58fFRWl1WrfeuutXr16iR2StEi8Oq90wpP+qwm5sE7cJVvijt8aAACgYbFBQUFBQUFihyFdps6qdVLNUfR3whO/RNZUCqvjCZo215GeExT0vdcWrozkTj+9tP8poF7l5uZu2rRJEASj0Th8+PDIyEjzR1qtdu3ateXl5YIgTJo0qVmzZiLGCQDglFixA5A6HUdcGemONaOXTHjSiUTu9DxxtajjrpBgiTuP37rxWrt27cyZMz08PDiOW7JkSVBQkKenp+mjNWvWxMbGhoSEFBcXL1myZNGiReKGCgDgfKx7lSGEnDt3ruHjkCw9T9xZyWVOZnpekEh4dw6UBMr+5c6qqgxDEYoQSR1XPSfpfwqoPxqNxs/Pz8PDgxDCMEz37t3NA/ZpNJqysrKQkBBCiKenZ2RkZGpqqpixAgA4I/pGJUuWLBE7KgnRc8RdQUm2Oq+eJ+4KSgqVFkyRIJmrO6teZYj0unLHb91oKZVKjUaj1WoJIYIg/PXXX2FhYaaPcnJyQkNDzUuGh4dnZWWJEyUAgPNiP/30U/PE7du3CSEBAQHixSM5Bl5wV0i3cFHPESV7p0RWxO5cjDyhKeLGSPdAyYhViTu52z5VOo0H9DxxV5jerqALoUZnypQp7777rqenZ25u7syZM9VqtWl+YWGhj4+PeTE/Pz+UuAMAOBxrWb5eXFwcHx//3nvviRiQ1JhyFCkUaVfJlOSZSmSV4jVYsAwD6qiKEneJVXPXc6SJm7RCggZz4MCBIUOGPPzww1evXj1w4MDkyZMVCkUdt6nT6SwLjJ566qlly5bVdiMajYbneaPRWKu1eKNRIKSkpKS2XycLpaWlYocgLTggVvR6PSHExcVF7EAkRNyTxM3NrcYraoVcz9PTs2/fvtu2bRs1alR9BiYnd+u4S6mKsQUdR1xo4kKL3J3LncSdJjokc3Wmq1zizlA6KRVv63nBnZVEBS1oYMXFxRqNpnfv3oSQiIiIoqKis2fPRkVFEUK8vLzM9d0JIfn5+d7e3jZu1tXV9cKFC25ubqZJpVJp/tt2SqWSpmmWrV0BBi9wFCGmWvtOyYl3zT44IJaQuFdJ4ieJdePUqKioU6dOiRKKNN2p4y7VfFTPExeGuNAiF3WbColFD8M56Lmqq8pIB+q4N1o3b9409yFDCPHx8cnNzTX97e/vn5GRYf4oLS2tVh0Ne3t7+9xlR9YOANBIWCfufn5++fn5ooQiTbo71XnFjuM+7tZRocR9J6DnBReackEdd0fQ84JLxfYKUnsi0nFEyg0/oP60atXqr7/+KisrI4RwHLdnzx5TcTshRKVSKZXKzMxMQkhpaWlKSoplF+8AAOAQ1m8Vr1+/rlRKpxWc+PQc8ZBwjmLqPd1V7BJZU40d0cNwDnqeuFZ8oHaV2BORniceEn6aBUv79u0bPHiwo7bGsuzkyZNXrlzJMIxerx88eHDz5s3Nn06dOnXdunU6nY7n+WnTplGUVCp3AQA4DXbLli3mifLy8qNHj06bNk3EgKRGz5OmEu6y+m5RtyByVRlTjR00TnUEiTdO5QXC8UQl4X8KsPT555+bMmxHVWNt0aLF3Llzq/xIqVROnz7dId8CAABVYn19fc0TAQEBw4YNwzjVlvQ8UUu4cPFe5XJRs6i7jVNNNXZQzFYnVXQHKaUnItNDGt6uyIWHh4der58+ffpjjz0WExODF6oAALLGDho0SOwYJE3PEQ+FyDXIq2HuzkXkxJ1Dd5AOc79+3CUCXX/KS+fOnUeMGDF8+PD9+/fPmjWrd+/ew4YNM3e+DgAA8mLdOBWs6CU+AJM0sig9T1wlUPDvHCReVcbUrEJBUwapPs2CJVO1FhcXl2HDhq1cudLX13fOnDmbN2+27Lk8JydHvAABAKAWkLjXQM8Rd1a6hYsSqyojofxSviRfVUZwoSn81nLEsmx0dPSKFSvKyspGjx69fv36wsJCQsi8efPEDg0AAGwi3mCbMnFndHepFi5KJGO+8/wgpfxSvqqqKiOhxgMSeVYE+6Smpm7ZssVgMLz33nuFhYVvv/12REREbUcbBQAAsVSRuG/evHncuHENH4o03RlrRqr5qGSqyqAU1mGqqCoj9u9rSSKnHNgoMTExLi6OEPLXX399/fXXNE2PGzfO3MN6nz59Tp48efz4cVFjBAAAW1WRuP/yyy9I3M3uVJWRaj56t/hT5BJZlMI6kIEXlGylAZgkc2Al8pIHbLRjx47g4OCEhAQ3N7fnnnsuIiLC8lOKonr27PnFF1+IFR4AANSK/VVljEZjWlpax44dLWfu37//yJEj3t7epsm8vLyYmJhHH320xq29/fbbKpXK9HeTJk0mT55sd2COdbeqjNhx3IdEij8lEoZz0PPES8q9yqBalKzcvHkzMTFx6tSp7du3FzsWAACoK3sS97KystWrVxuNxpycnE8//dTyo4iIiJ49e3p5eZkmt27dGhQUZMs2VSrV/Qb1EJeeJ24MoSli5Akrvaa8Bl5Q0JQLLUihcSp6GnEIyTdORYm7nPTo0WPhwoXVL/Of//ynYYIBAIA6YmfPnm01Ky8vr/p11Gr1yy+/7Obm9tFHH1l9FBwcbDmZkZExcuTIukcpIstKIBJM3PU8UbPiZ1Hmo1SERm51JvXuIJG4y0qNWTshBKNlAwDIBVu5I7BXX321xtXc3NxqXCY/P99yWNbqcRx36NChCxcueHp6Dho0qGnTpjauWN8sm12qxA6mMonUW0Ay50BSH4DpzilH6TnJxAQAANA4sE2aNLGaxTBMlYvW1smTJ3v27Gnjwp07d3Zzc5s4cWJ+fv7KlStnzpzp4+Nzv4VLSkqOHDlSUFBgmvTy8howYAAhhOd5nucpypFtNPU8YQnvwhCtgeel13mmjhMUFFFQgo4jPG9PImU6aI4IQ1DQRGcU6r41iePvqqft64yCgq7waypoQWe08/d1OB1HFJSgoAQdV4vful6PmLOy5aBRFFXbK15JSQnLskqlsg6hAQCAOOoxFU1NTY2OjrZx4SFDhpj+UKvVEydO3Lt375gxY+63cEFBwZEjR9LS0kyTvr6+vXv3JoRotVpBEBz14GGi5xS8QaugFCUarack+tGuQGNgKE6geVKup7Rae0rddTqdQqGoYxjlOoYWBIojGgOl1erruDWJMxgMPM8LQn3V5tcaWWLktNp726d4RmMUtFpJJL6lWooljGDQ6ThGq9XauJZDTrPGRqvVsmwNl2iWZV1cXKpZYOvWrUePHqVpev78+Q888AAh5MqVK998883SpUsdGSsAADSIKu4Knp6edd9ueXm5q6urfTl0UFDQ9u3bq1/g9ddfN5WyW7H7S+9Hzxu83VWujJFxVapUksvceYpzV1JqgyDQlErlascWOI4z9+djN4Hh1a6CuxvF04J9YciIKXF3da2v3eQozkPJqlT3qsuoXfkivaBSOfLEthvF8koXwVOtMAq1OHMccpo1NjzP1/2g9erV66effpo3b54payeEPPTQQz/88MOZM2ceeuihOscIAAANqormlsuXL6/7dk+fPt2tWzf71r1x40azZs3qHkPdCYQYeaKQcEeHEunO5U7nNlI9SvKi5wQXBv24g2Ns2bLlhRdeCA0NtZw5evToXbt2iRUSAADYrYrEnaYd0HnKmTNnunbtWnl+cnJyXFzc1q1bLWcmJSXt27fP9LfRaExISHj88cfrHkPdmfv3kGyaouPuZFE6CXQHKXoYzkFXVXeQOsk8Ed37rSUTElTj0qVLlS/FISEhWVlZosQDAAB1YU8d9/Ly8tWrV3Mcl5qaauoR8umnn27VqpXlMhMmTLC9LkGPHj327t27YMECNzc3g8EwdOhQf39/OwJzOHP/HpJNU/S84MJQLrTYvcqYO82U5FGSFz0ni15lJBQSVEOv11cui3FxcTEa0XUrAID8VJG4nzt3rlOnTtWso1KpZs2aVf1279cRZFRUVGJiotVMiqJiYmJiYmKq32bDu5e4SzVN0XPEhaZcGEkMwOTCUHr0HFJner6qftwl80SEqjLy4uHhUV5eblVXXqPRoFcZAAA5qqJWzLJlyxo+DmmSflUZPU9cGeIqdnimZM4VddwdQc8T14r/l65Sem7Eby0vXbt2/fnnn61m/vzzzw8++KAo8QAAQF2w8fHxxcXFlrNqHDm18TCNvkSIdNOUu0XdkqkqI5n8Ur6kPnLqnd+a0ovaHhps9Oyzz7766qtNmzY1j6px6tSpxMTElStXihsYAADYgY2JifH29l6zZs2oUaP0ev327dtXrVoldlRSYVHibkpTJNcdpEQyZlSfcKAqRk4V+8HMkp4XpNzPElhRKpUffPDB8uXLN2zY4O/vn5ub6+Xl9cEHH3h4eIgdGgAA1BrbsWNHQkhOTk779u0ZhklKSioqKmrZsqXYgUlChTrukkxTJJIx3+ncRqpHSV6qSNxpCTUe0HPEXUGJfsqB7Xx8fN59912dTnft2rXmzZur1WqxIwIAADvdSRB0Op1p3KJhw4bt2LFD1JAkRMfd61VGmmmKVKrK8IIUCv6dQxVVZcT+fS2Z2s7it5YdV1fXNm3aIGsHAJA168apAQEB2dnZooQiQeb+PSSbpkikwvGdzm2kepTkxdyywkxSB9b0rEhThKaIUTJRAQAANAZ3EneVSlVWVkYIoWlao9GIGpKEyKaqjNjh3SmFFTsM5yCDxqnSfg0Ftjh37pzYIQAAQK3dSdx79Ohx7NgxQkhWVtb9umBvhKSfo5hKZ0UPz9SDoegF/85B8o1Tiau0X0NBZaWlpTcqWrJkidhBAQBArd0ZgCkuLm7+/PkFBQWnT58eMWKEuDFJh/RzFKn0KiONMJxDVY1TJXRgpf8aCiyVl5d/+OGHmZmZzZo1s5xfUFBQl83++uuvJ0+epGk6PDw8NjbWNFOr1a5du7a8vFwQhEmTJll9IwAA1N2dxN3Ly+v9999PSkqaMGECBuYwM9c2lmyOIqGqMhIIwwkY+TvVxy1JK3GXfB+pYGnjxo2tWrVasGCB1fzZs2fbvc1NmzYplcq5c+dSVIVff82aNbGxsSEhIcXFxUuWLFm0aJHdXwEAAFW6V7Ln6ekZHR2NrN2SLEZOlUJ3kBIJwwlULm4nEntuvFfijp9bDk6fPj1u3LjK8z/++GP7Npiamsqy7IgRI6yydo1GU1ZWFhISQgjx9PSMjIxMTU217ysAAOB+KuUIYMGcoyhoyiC92tu8QHiBsBLImE1POAqacAKR3nGSk6oTdyk1HpD+ayiwJAiCqatfRzl69GhcXFzl+Tk5OaGhoebJ8PDwrKwsB34vAAAQc1UZqJJl4WKZUexoKpFObWOLJxxiuNswAOxQuUsZIrGybem/hgJLLVu2vHnzZuXq5oIgWBWZ2y4rK2vPnj16vd7Pz2/SpEmmB4PCwkIfHx/zMn5+fihxBwBwOJbjOMeWxziTezmK2JlxlSyeK8Tux91cCkvfa9ELdqjciTuR2OmHqjLyMnbs2IMHD44dO9Zq/syZMz/99FM7Npifn3/kyJEZM2awLJuUlLRz586nnnqqjkHqdLqAgADz5PDhw1euXFnbjWi1Wl7gjcbaFbHwRqNASGlpaW2/ThbKysrsfjxzSjggVvR6PSHExcVF7EAkRNyTxM3NjWVrKFJnp06d+vjjj0dHR3t6ejZMWDIi8RxFOmWf0olE7u5TVUZCR1U673nAFklJSampqenp6a1atbKcn5mZad8Gy8rKRo8ebbq19OzZ84MPPjDN9/LySk9PNy+Wn5/v7e1t4zZdXV0vXLjg5uZmmlSpVK6urrUNzM3NjaboGu95VniBowhxd3ev7dfJgiAIzrpr9sEBsYLEvTLpnyTs8uXLDx48+Nprr4WHhz/xxBNWF/dGTuqJu2RqGyOZc5Qqq8qYGw9UKosXAR7S5GXv3r3Tpk2rPL+2Ca5ZmzZtNBqNWq02TZqLpvz9/TMyMsyLpaWlRURE/H97dx4fRZnmAfztK33lDgQCmBANd1D8MIwr4jUz3OHKiMCCIoIwDpkg4AE7CCJIWFRGDtkAXmCQRZH7dBVnURiXjDBjQgJIBhMkQQi5ujt9VtX+0dh2qrurj3S63ur8vn+l3lRXP131dvVTb73vW4FvNjExUavVhhYSAED7odTr9bm5uRMmTDhz5szmzZsZhhk/fvzgwYPFDowKtHeVoSaF8ui0Q0GCKU1eW9wJTYMHKL+aBZ6pU6c+8sgjnuXffPNNaBscOXLk9u3bFyxYQAg5depUr169nOU6nU6r1VZWVmZkZBiNxpKSEjwSBAAg7G43ushksvvuu+++++67cuXK/Pnz9+3bJ25YlLCxnIriHMV9SKiILbKuyW0IrVc4EuIrcadn8ADurkjLhAkTvJYvWrQotA127dr14YcfXrt2LcMwKSkp06dPd/1rzpw5W7dutVqtLMvm5eWhMzEAQNj9cre0qanpyJEjx44de/DBB0UMiCp2luiVt8dcWunLUdyTPBFbZN3DoPMKR0K8dpUhNO1YPIAJBg4cOHDgQM9yrVabn58f+XgAANoPJSGksrJy7969Z8+eHT58+Lp16xISEsSOihY2hiSpCXE2LlIzkbaL1S3Ji5ETKx2JO4VXOBJi9dXiriBWhoos2X1kBY41AABAJCkXL15sMBgmTJiQl5cX8nClaNWi6zZ9OQq/qZshRCVGGO7XDwpaGoYlysb46ipDSw2kZ2QFBIhl2YMHDx4+fJhhmHfffZcQsnbt2nnz5mEiYAAAyZFPmzZt48aNv/3tb5G1e3Jlxmoq81H3JE/EewLuU48jmWslG8t57ypDTQ1sMTiVjmsJEMCy7IoVKyorK1etWmW1Wp2FSqXyyy+/FDcwAAAIgbxfv35ix0AvyhsX3UcrqhWitci6t7irMWCxdWwMUSu89IdRU1MDKb+aBZ6jR4/GxcXl5+d36NDBVTh69OhTp06JGBUAAITG2115+BnlE2hQMiqUkjCig89ZZaipgXaW6qtZ4Dly5Mi0adN4hRkZGe4PSwIAAKlA4i6E8imrbQwXoxC/j0rLxF1G4SheCRGeDlJ0dpYoZLdHyNJzLQECGhoaUlNTeYVKpRJzNQIASBESdyH0d5Vp0cedgq4ySOZaifLpIHF3RXJUKhXH8a+lGYbBY0oBAKQIibsQ95nvKMxHKcmiKAkjOlDeVcb9ukIll9lxd4V66enp5eXlvMKzZ8/26NFDlHgAAKA1kLgLob6rTIt53JG4RwHKu8rgWEvO1KlTN2/ebDabXSVNTU3btm3z7PgOAAD0wxSQQqz8h0TSBV1loo/vrjJUPKa0xdSfONZS0KtXr6FDhy5cuHD8+PF2u/3QoUNHjx6dMmVK586dxQ4NAACChsRdCO2zytDR4m5FK2z4UN5VxkpHlYOg5OTk3H333adPnx40aJDFYnn55ZeRtQMASBQSdyGuJxzRmaN4m85FhBZZG4MHMIWNneVUci8HkZIdi64yEpWenp6eni52FAAA0Fro4y7E9YQjOnMUWrrKsOgqEza093FnqKhyAAAA7VPoLe4Oh6O8vLx///688qVLl+p0OuffHTp0mDVrViBbs1gsW7ZsaW5u5jhu5syZnhMPi8KVRSnlhOUIyxFvjaGicW+dFXdwqvrnZE4lJxQOBpAQn33c6ciS3R/WS8m1BITmu+++u/vuu8WOAgAAghNK4m4ymQoLCx0OR01NzVtvvcX7r06nW7RoUbDb3Lx589ixYzMzM5uamtasWbNy5coQAgs7z07kGm9JlVhsDImLuf23mIl7i70kMzmQuIdOAi3uSNwlpbq62mv5mjVrioqKIhwMAAC0UiiJu16vnzt3rkajef3118MShNlsNplMEaUnhQAAIABJREFUmZmZhJD4+Pjs7OzS0tLs7OywbLw1WsyhQWHiTk9XGbcw6q3ihBEdaE/c6ahyELhZs2bxzqW3bt0ihHTp0kWkiAAAIHQhdpXRaDS+/sUwzIkTJ8rKyuLj40eOHNmxY0e/W6upqcnKynIt9unTp6qqiorE3XOiQ5WoAbVEyUhBtMKGEf1dZVqOh8bBpl1ycvKaNWvcS5qamgoKClasWCFWSAAAELLwD04dMGCARqOZMWPGo48+umHDhvr6er8vaWhoSEpKci2mpKQE8qoI8DZtC0UoyZgpuX6IDr5a3CkZPGBjuBgF5nGXkr59+/JK4uPjH3744U8++USUeAAAoDXCPx3k6NGjnX/o9foZM2YcPnw47I/ou3Tp0pNPPulq9U9NTf38888JIWaz2WazKRRh685iYzVWk4EoCCFEKVPXN1niGPGTJxeTVcXaWIOBIYQQRmloJgaDI9iNGI3GVoZhMCsJc/utWbvCZJEbDM2t3CbN7HY7y7I2m60tNt5si2GsDoOBf/XD2ZXNTCjHN7waTXI5q3QeX4dFbrYrDQaz31eRcFSzdshkMnGcnxOOSqUSuP9JCPmP//gPz8JBgwatWLFiypQprYoPAAAirm3ncU9PT9+9e7ff1RISEi5fvuxarKurS0xMFFj/zjvvfOqpp4YMGeJ6eVxcHCFEoVCo1eowJu521p6cEOfs5a5ROlRafVwcRdPKcAomXieLi5MTQvQahhASF6cNYTvOvRcyuYrRq2TOt47XsZyCi4sTyiSkzpm4q9Xqttg4K2MSYlXOY+ouTsc2N3OhHd8wUqhZXQwXF6cmhCRaOEbGBF55WlnN2iGZTBYbG9sWW05JSamrq2uLLQMAQJuS79+/f/bs2TNnznQur127lmHCdv+7uro6kIkd09LSKioqXIvl5eXCzwpRKpVpaWl3/iwlJSUMsXqws0Qh+2X+Rwo7gbR8jKVMtMGpLXvsWNF9ohWsbk+zchcjJ1YKqh9v1AeOtURdu3ZNqxX5IhAAAEKgrKysXLVq1XPPPXd7Wan88ssvf/e734W2udOnTzc0NIwaNYoQ4nA4ioqKnnrqKfcViouLCwoKJk2aNGnSJFehTqfTarWVlZUZGRlGo7GkpOTxxx8P8QOFD6+3MYVpCn+KD5Gmc+GHQUF+KV3uT7NyFyOnokM5xjNIzo4dO3glzc3NJ0+ezMvLEyUeAABoDWV+fr778ujRo4uKioQT9+bm5sLCQoZhSktLnTNCTpw4sXv37oSQ+++///Dhw8uXL9doNHa7fcyYMWlpaYHEMWfOnK1bt1qtVpZl8/LyZDLxe6Tw5vegME2xMVyM/HYaRc3gVMw00io+p4Ok44qIn7hTcC0Bwj799NNnnnnGvaRLly7jxo2j5CF3AAAQFH4f94yMDPfu5l7pdLoFCxZ4/ZdMJsvJycnJyfH12kGDBu3Zs8ezXKvV8i4hRMdvcacvTXF/jKVaxHnc3a5wRAwjOtiYX46pOzUd1438Y01BSCAsNTV15MiRYkcBAADhwW/cUyqVNLR208D96UuEyjSFkn4LlIQRHYRa3Cm4IqJ8glTwtHHjRrFDAACAsOHnCAzDYNCSkxS6ymAe92iDJ6dCeF27ds3vOpWVlRGIBAAAWo+fI5w9e7ZHjx6ihEIbj8GpMhtNk7gTarIoL8+XhVD5fHIqHc3bdpZT/XwbipJrCRC2dOnSsKzD869//Wv27NmHDh1yL7RYLOvXr1+9enVBQcGNGzeC3SYAAPilNJvNrib2pqambdu2LVmyRNyYKOGljztlaQpa3KMP7V1lGBKnuv03jrUk1NfXr1u3TnidEKYA3rNnzx//+Mcff/zRvXDz5s1jx47NzMxsampas2bNypUrg90sAAAIky9cuPCzzz6z2+2HDh1avHjx5MmTO3fuLHZUVJBAVxk6Ohy7DwagcC9JC29khQslO9a9yinlhOUIBbcBQMgrr7yiVqvPnDnTqVOngQMHJicnf/XVV6mpqQ+6CXabxcXF99xzD+8ZZGaz2WQyZWZmEkLi4+Ozs7NLS0vD9jEAAIAQQohy0aJFp0+fHjRokMViefnll5G1u3jO405Dk6c7dJWJPr67ylCXuJOfo9KE7VHFEH5arba0tHTLli16vZ4QMmTIkBEjRrz00kuPPPJIgHP18jAMc+LEiRdffPHChQvu5TU1NVlZWa7FPn36VFVVZWdntzJ+AABwp0xPTxd+TGm7JYWuMlyMQvymbkoa/qMD/V1lPG9DIXGn2bZt25599lln1u7UsWPHKVOm7Nq1y/XcvV69egW+wWPHjo0YMcJz8rGGhoakpCTXYkpKClrcAQDCjj+PO7jwcxQ6Mid3lHQup6ThPzpIaFYZ4jrcKt8vALFVVFT07t2bV3jvvfd++umnrsWXX345wK2Zzebvv/9+9OjRYYuPEEKI1Wrt0qWLa3HcuHEhzGJpsVhYjnU4HEG9inU4OEKMRmOwbycJJpMJ8zu7ww7hsdlshJCYmBixA6GIuJVEo9EolX4ycyTuPvF6G1OSObmjJGOmZIxsFHB2GVdKKHG/fYMFP4T00mg0cjm/SikUCoUilBslX3/99bVr15wPzG5sbDQYDA888ICzoT0hIcH94X11dXWJiYkBblatVpeVlWk0GudiQkKCZ8x+aTQauUzu9zePh+UYGSGxsbHBvp0kcBwXrR8tNNghPEjcPdFfSbyc47Zv3/7kk09GPhTaSGBwKh0Zs5WhouE/CvhqbifU3MqwUn8bCnjS0tIqKirce58TQkpLS3klARo6dOjQoUOdf5eXl1dUVLi6xzjfyLVmeXl53759A99yYmIiHiECAOCXlzThiy++iHwcFLK2zKJUcpmdpt7bHCF2lqgoyJh5Df92JO6hEkrc6Rg8YGNovw0FPJMmTXr77bed7WpOBoPhgw8+yM3NDe8b6XQ6rVbrfJaT0WgsKSnByFQAgLBDVxmfbAy/O6/B5nvtiHNm7a4cSsyuMuwvrbAyQhSyFlcUEDhfU8oQatq23Y81QeIuBQMHDvz+++/z8/PHjx/ftWvXK1eu7Nu3b8qUKRkZGa3Z7PHjx7/66iv3rjKEkDlz5mzdutVqtbIsm5eXh87EAABhh8TdJ8pzFI+ePOLN485wagW/FRaJewh8TeJOqKl+Npao6Z4jFTxNnjz5V7/61f/93/+VlJRkZGS89tproU0E6W748OHDhw/nFWq12vz8/FZuGQAABCgXLlzIK6qtrRUlFNrwcxQ6MicXeqaZ9xqJHpeEwRNqcaej+tE/8AO8ysrKCq1TOwAAUEW5ePFiXpFrct92jvLpIOmZZp6eSKTO7+BU0SdwwbEGAAAQkbJDhw68otCmCYs+lOco7k9fIuIm7t477aB7a9AEEncZIUo5cYjdB4me+zwAAADtEHoi+0R74u4thRKlkztvKCqSuZAJdJUhdNRAdJWRIpZl9+/fP3v27JkzZzpL1q5dyzD4lgIASI+XxD0+Pj7ycVDIznIq95nvKMtHeYm7q0U28mG4T25DkMy1gkCLO6GjBvp4ABPQi2XZFStWVFZWrlq1ymq1OguVSuWXX34pbmAAABACL2nCunXrIh8HhTwbF6005aOerbOiZMyUhBEd/CTuFOxYdJWRnKNHj8bFxeXn57v3ihw9evSpU6dEjAoAAELjJU0I4VnTUclL4yJDUeOileEneTEKYo14FuWZa4oSRnSw+ukqI7OKXQM9R1ZQdTULno4cOTJt2jReYUZGxuXLl0WJBwAAWgM5uk9eGhdpylF408wTsVrcPRN3OVphQ+S/q4zYNdDLwA8ca7o1NDSkpqbyCpVKJZ6OBAAgRUqz2Xzp0qWbN2/eddddGRkZaG534XUCUVPQUcGdt4zZeU8gor/HvCZYQkePDomyMT4fwETo2LGUX82CJ5VKxXEcL01nGEar1YoVEgAAhEw+e/bsY8eOXb9+vaioaMGCBVVVVWKHRAvKu/PaGKJu2eKuFiOL8rx+ECWM6GBj+cfUnZqCGsi/mqUgJBCWnp5eXl7OKzx79myPHj1EiQcAAFpDWVBQ0K1bN+dCWVnZ8uXL169fr9frxQ2LBtRPB8lvnaWlq4xChIb/6ED54FRnB3v3+yuihwR+TZ06ddOmTatXr3Y1sTc1NW3btm3JkiXiBgYAACGQu7J2Qkjfvn1HjRr18ccfixgQPaT15FQiUoSYVSaM/MzjLnYNxLGWol69eg0dOnThwoWfffaZ3W4/dOjQ4sWLJ0+e3LlzZ7FDAwCAoPHb9wYPHlxWViZKKLThNWnTlqNQkkV5H5xK046SEMpb3D3DU8lldszjTr2cnJxFixbV1dUNGjTIYrG8/PLLQ4YMETsoAAAIhZK3HBcXV1dXJ0ootKH8IZH0triL3TAsXZQ/OdVrlTPYRIoGgpGenp6eni52FAAA0Fr89r2LFy9mZGS4Fnft2hXZeCjiMTiVrnncKWnqpiSM6OBvOkiRayBmEAIAABBXizSBYZgPPvggNzfXVXLw4MGIh0QL2genoqtM1JFcVxnRQwK/LBbLxYsXxY4CAADCQ75kyZLz5883NDScPXt24cKFw4YN69mzp+1nYocnJgl2lRGhRdZLKyy6yoTKznIqiudxp6R3FgRl48aN586dEzsKAAAID+VPP/301ltvuZYPHDhw4MABEQOiB+3zuNPR/ElJGNHBxpC4GJ//Fb0GUnKTB4Ly97//fcGCBZ7lx48fHz58eOTjAQCA1lBu3bpV4N/Tpk2LWCi04aWkKjmxs4Se+ckpyaKQuIcRuspA2MXHx5vNZs9Hc3z00UdI3AEAJMd3mkAIIeTpp5+OTBwU4mXGsp9zd0p4dqugZFYZTBEYMukl7mLfBAC/JkyY8OGHH4odBQAAhAd/OkhCyMmTJx966CHn37/5zW98vdLhcJSXl/fv359Xfvny5ffff1+v18vl8ieeeKJr166BxLF06VKdTuf8u0OHDrNmzQoo/LZk9ZGmCKRWkWRjSQIFzZ/epwi0RzqM6IAHMEHYjRw5ctmyZd98882//du/iR0LAAC0lvL8+fMc16J9dNOmTa7E3SuTyVRYWOhwOGpqatz7xxNCmpqa3n333eXLl8fExJhMpjfeeOPPf/6zUunl8oBHp9MtWrQotM/QRmxMiwcwEcrSFEr6LVg9rmSo2kvSQnmLu5dLWbnMxuJgU620tDQnJ2f9+vUsy8bHx7vKrVariFEBAEBolIcOHVKpVO5Fv/71r4Vfo9f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       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"1096.18,1842.92 1096.18,1824.02 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"1506.56,1842.92 1506.56,1824.02 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"1916.94,1842.92 1916.94,1824.02 \"/>\n",
       "<g clip-path=\"url(#clip400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:47px; text-anchor:middle;\" transform=\"rotate(0, 275.413, 1916.98)\" x=\"275.413\" y=\"1916.98\">0</text>\n",
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       "<g clip-path=\"url(#clip400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:47px; text-anchor:middle;\" transform=\"rotate(0, 685.794, 1916.98)\" x=\"685.794\" y=\"1916.98\">25</text>\n",
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       "<g clip-path=\"url(#clip400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:47px; text-anchor:middle;\" transform=\"rotate(0, 1096.18, 1916.98)\" x=\"1096.18\" y=\"1916.98\">50</text>\n",
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       "<g clip-path=\"url(#clip400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:47px; text-anchor:middle;\" transform=\"rotate(0, 1506.56, 1916.98)\" x=\"1506.56\" y=\"1916.98\">75</text>\n",
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       "<g clip-path=\"url(#clip400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:47px; text-anchor:middle;\" transform=\"rotate(0, 1916.94, 1916.98)\" x=\"1916.94\" y=\"1916.98\">100</text>\n",
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       "<g clip-path=\"url(#clip400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:65px; text-anchor:middle;\" transform=\"rotate(0, 1104.38, 2010)\" x=\"1104.38\" y=\"2010\">Iteration</text>\n",
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       "<polyline clip-path=\"url(#clip404)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"243.074,1474.45 1965.69,1474.45 \"/>\n",
       "<polyline clip-path=\"url(#clip404)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"243.074,1300.64 1965.69,1300.64 \"/>\n",
       "<polyline clip-path=\"url(#clip404)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"243.074,1126.84 1965.69,1126.84 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"243.074,1842.92 243.074,1105.98 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"243.074,1822.06 261.972,1822.06 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"243.074,1648.25 261.972,1648.25 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"243.074,1474.45 261.972,1474.45 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"243.074,1300.64 261.972,1300.64 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"243.074,1126.84 261.972,1126.84 \"/>\n",
       "<g clip-path=\"url(#clip400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:47px; text-anchor:middle;\" transform=\"rotate(0, 137.796, 1839.56)\" x=\"137.796\" y=\"1839.56\">10.0</text>\n",
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       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:47px; text-anchor:middle;\" transform=\"rotate(0, 137.796, 1665.75)\" x=\"137.796\" y=\"1665.75\">12.5</text>\n",
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       "<g clip-path=\"url(#clip400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:47px; text-anchor:middle;\" transform=\"rotate(0, 137.796, 1491.95)\" x=\"137.796\" y=\"1491.95\">15.0</text>\n",
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       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:47px; text-anchor:middle;\" transform=\"rotate(0, 137.796, 1318.14)\" x=\"137.796\" y=\"1318.14\">17.5</text>\n",
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       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:47px; text-anchor:middle;\" transform=\"rotate(0, 137.796, 1144.34)\" x=\"137.796\" y=\"1144.34\">20.0</text>\n",
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       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:65px; text-anchor:middle;\" transform=\"rotate(-90, 22.5624, 1474.45)\" x=\"22.5624\" y=\"1474.45\">Sample value</text>\n",
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       "<polyline clip-path=\"url(#clip405)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"2689.91,1842.92 2689.91,1105.98 \"/>\n",
       "<polyline clip-path=\"url(#clip405)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"3054.94,1842.92 3054.94,1105.98 \"/>\n",
       "<polyline clip-path=\"url(#clip405)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"3419.97,1842.92 3419.97,1105.98 \"/>\n",
       "<polyline clip-path=\"url(#clip405)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"3785,1842.92 3785,1105.98 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"2230.14,1842.92 3952.76,1842.92 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"2324.88,1842.92 2324.88,1824.02 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"2689.91,1842.92 2689.91,1824.02 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"3054.94,1842.92 3054.94,1824.02 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"3419.97,1842.92 3419.97,1824.02 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"3785,1842.92 3785,1824.02 \"/>\n",
       "<g clip-path=\"url(#clip400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:47px; text-anchor:middle;\" transform=\"rotate(0, 2324.88, 1916.98)\" x=\"2324.88\" y=\"1916.98\">10.0</text>\n",
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       "<g clip-path=\"url(#clip400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:47px; text-anchor:middle;\" transform=\"rotate(0, 2689.91, 1916.98)\" x=\"2689.91\" y=\"1916.98\">12.5</text>\n",
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       "<g clip-path=\"url(#clip400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:47px; text-anchor:middle;\" transform=\"rotate(0, 3054.94, 1916.98)\" x=\"3054.94\" y=\"1916.98\">15.0</text>\n",
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       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:47px; text-anchor:middle;\" transform=\"rotate(0, 3419.97, 1916.98)\" x=\"3419.97\" y=\"1916.98\">17.5</text>\n",
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       "<polyline clip-path=\"url(#clip405)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"2230.14,1674.14 3952.76,1674.14 \"/>\n",
       "<polyline clip-path=\"url(#clip405)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"2230.14,1526.22 3952.76,1526.22 \"/>\n",
       "<polyline clip-path=\"url(#clip405)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"2230.14,1378.3 3952.76,1378.3 \"/>\n",
       "<polyline clip-path=\"url(#clip405)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"2230.14,1230.38 3952.76,1230.38 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"2230.14,1842.92 2230.14,1105.98 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"2230.14,1822.06 2249.04,1822.06 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"2230.14,1674.14 2249.04,1674.14 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"2230.14,1526.22 2249.04,1526.22 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"2230.14,1378.3 2249.04,1378.3 \"/>\n",
       "<polyline clip-path=\"url(#clip400)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"2230.14,1230.38 2249.04,1230.38 \"/>\n",
       "<g clip-path=\"url(#clip400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:47px; text-anchor:middle;\" transform=\"rotate(0, 2157.2, 1839.56)\" x=\"2157.2\" y=\"1839.56\">0</text>\n",
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       "<g clip-path=\"url(#clip400)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:47px; text-anchor:middle;\" transform=\"rotate(0, 2144.26, 1691.64)\" x=\"2144.26\" y=\"1691.64\">20</text>\n",
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       "<text style=\"fill:#000000; fill-opacity:1; font-family:Century Gothic,CenturyGothic,AppleGothic,sans-serif; font-size:47px; text-anchor:middle;\" transform=\"rotate(0, 2144.26, 1543.72)\" x=\"2144.26\" y=\"1543.72\">40</text>\n",
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     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# discrete!!\n",
    "\n",
    "x = 10\n",
    "p = WAG_SubstitutionProcess\n",
    "t = 0.2\n",
    "\n",
    "y = rand(transdist(p, t/2, x))\n",
    "@info y\n",
    "\n",
    "z = rand(transdist(p, t/2, x))\n",
    "@info z\n",
    "\n",
    "model = bisection_sampler(p, y, z)\n",
    "ch = sample(model, Gibbs(HMC(0.03, 5, :t), PG(100, :x)), 100)\n",
    "plot(ch, fontfamily=\"JuliaMono\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e838029d",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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